GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#############################################################################
##
#W tmhe.tom GAP table of marks library Thomas Merkwitz
##
#Y Copyright (C) 1997, Lehrstuhl D fuer Mathematik, RWTH Aachen, Germany
#Y Copyright (C) 2011, School of Maths Stats Appl Maths, NUI Galway, Ireland
##
## This file contains the table of marks of the ATLAS group $He$
##
Revision.tmhe_tom :=
"2011-02-22 12:12:31";
SetActualLibFileName("tmhe");
LIBTOM( "He",
[[1],[1,2],[1,3],[1,4],[1,5],[1,2,6],[1,2,7],[1,3,8],[1,3,9],[1,3,10],[1,3,
11],[1,2,3,12],[1,2,3,13],[1,2,14],[1,3,15],[1,3,16],[1,17],[1,2,5,18],[1,2,4,
19],[1,3,4,20],[1,3,5,21],[1,2,4,22],[1,3,5,23],[1,24],[1,25],[1,26],[1,3,8,
10,27],[1,3,9,11,28],[1,2,3,8,12,29],[1,2,3,9,12,30],[1,3,11,31],[1,3,10,32],[
1,3,9,10,33],[1,3,8,11,34],[1,2,3,6,12,13,35],[1,2,3,8,9,12,13,36],[1,2,3,7,
12,37],[1,2,3,10,12,13,38],[1,2,3,11,12,13,39],[1,2,3,8,10,13,40],[1,2,3,9,11,
13,41],[1,2,3,10,12,13,42],[1,2,3,11,12,13,43],[1,2,6,7,14,44],[1,3,8,9,15,
45],[1,2,3,12,15,46],[1,2,3,9,12,15,47],[1,2,3,8,12,15,48],[1,3,8,11,16,49],[
1,3,9,10,16,50],[1,2,3,11,12,16,51],[1,2,3,10,12,16,52],[1,3,11,16,53],[1,3,
10,16,54],[1,2,3,7,13,14,55],[1,3,10,11,15,56],[1,3,9,15,57],[1,3,8,15,58],[1,
3,9,16,59],[1,3,8,16,60],[1,2,3,12,16,61],[1,2,3,12,15,62],[1,2,3,12,15,63],[
1,3,10,16,64],[1,3,11,16,65],[1,2,3,12,14,66],[1,2,3,13,15,16,67],[1,3,16,
68],[1,3,16,69],[1,3,15,70],[1,3,16,71],[1,4,72],[1,4,5,73],[1,2,17,74],[1,3,
17,75],[1,2,17,76],[1,2,5,7,77],[1,2,5,6,78],[1,2,5,7,79],[1,2,4,6,80],[1,3,4,
8,81],[1,3,4,9,82],[1,3,5,8,83],[1,3,5,9,84],[1,3,5,10,85],[1,3,5,11,86],[1,2,
4,6,22,87],[1,2,4,7,22,88],[1,3,5,8,23,89],[1,3,5,9,23,90],[1,2,4,7,19,22,
91],[1,2,3,4,12,19,20,22,92],[1,3,5,11,21,23,93],[1,3,5,10,21,23,94],[1,2,3,4,
13,20,22,95],[1,2,3,5,13,18,21,23,96],[1,2,4,14,22,97],[1,3,5,16,23,98],[1,3,
5,15,23,99],[1,2,4,14,22,100],[1,3,24,101],[1,2,25,102],[1,3,26,103],[1,4,17,
104],[1,3,9,10,33,105],[1,3,8,11,34,106],[1,3,8,10,27,32,107],[1,3,9,11,28,31,
108],[1,2,3,7,9,12,30,37,109],[1,2,3,7,8,12,29,37,110],[1,2,3,6,8,9,12,13,35,
36,111],[1,2,3,8,9,10,12,13,27,29,36,42,112],[1,2,3,8,9,11,12,13,28,30,36,43,
113],[1,2,3,8,9,11,12,13,28,34,36,39,41,114],[1,2,3,8,9,10,12,13,27,33,36,38,
40,115],[1,2,3,6,9,11,12,13,30,35,39,41,43,116],[1,2,3,6,8,10,12,13,29,35,38,
40,42,117],[1,2,3,8,9,11,12,13,34,36,39,41,43,118],[1,2,3,8,9,10,12,13,33,36,
38,40,42,119],[1,3,9,11,15,28,57,120],[1,3,8,10,15,27,58,121],[1,2,3,8,12,15,
29,58,63,122],[1,2,3,9,12,15,30,57,63,123],[1,2,3,8,9,12,13,15,36,57,58,62,
124],[1,2,3,8,12,14,29,66,125],[1,2,3,9,12,14,30,66,126],[1,2,3,7,12,15,37,62,
63,127],[1,3,8,10,16,27,60,64,128],[1,3,9,11,16,28,59,65,129],[1,2,3,8,9,12,
13,16,36,59,60,61,130],[1,2,3,8,9,12,13,15,16,36,57,59,67,131],[1,2,3,8,9,12,
13,15,16,36,58,60,67,132],[1,2,3,6,12,13,15,16,35,61,62,67,133],[1,3,8,16,60,
69,134],[1,3,9,16,59,68,135],[1,3,8,15,58,70,136],[1,3,9,15,57,70,137],[1,2,3,
12,15,62,63,70,138],[1,3,9,16,59,139],[1,3,8,16,60,140],[1,3,8,15,16,58,60,
141],[1,3,9,15,16,57,59,142],[1,3,9,15,16,57,59,143],[1,3,8,15,16,58,60,144],[
1,2,3,12,14,15,62,66,145],[1,2,3,12,14,15,62,66,146],[1,3,9,15,16,57,59,147],[
1,3,8,15,16,58,60,148],[1,2,3,12,14,15,16,61,63,66,149],[1,3,9,11,15,28,57,
150],[1,3,8,10,15,27,58,151],[1,3,9,10,16,33,59,152],[1,3,8,11,16,34,60,153],[
1,3,9,10,15,33,57,154],[1,3,8,11,15,34,58,155],[1,2,3,8,12,16,29,60,156],[1,2,
3,9,12,16,30,59,157],[1,2,3,8,9,12,13,15,36,58,158],[1,2,3,8,9,12,13,15,36,57,
159],[1,2,3,8,9,12,13,16,36,59,160],[1,2,3,8,9,12,13,16,36,60,161],[1,2,3,9,
12,14,30,66,162],[1,2,3,8,12,14,29,66,163],[1,3,8,10,15,16,27,58,60,164],[1,3,
9,11,15,16,28,57,59,165],[1,2,3,8,9,12,13,15,16,36,57,59,166],[1,2,3,8,9,12,
13,15,16,36,58,60,167],[1,3,8,11,15,16,34,58,60,168],[1,3,9,10,15,16,33,57,59,
169],[1,2,3,8,9,12,13,14,36,66,170],[1,2,3,10,12,13,16,38,64,171],[1,2,3,11,
12,13,16,39,65,172],[1,3,9,10,16,33,64,173],[1,3,8,11,16,34,65,174],[1,2,3,7,
12,14,16,37,61,66,175],[1,2,3,11,12,13,14,15,39,63,66,176],[1,2,3,10,12,13,14,
15,38,63,66,177],[1,2,3,6,12,13,14,15,35,63,66,178],[1,2,3,9,11,12,15,28,30,
47,57,179],[1,2,3,8,10,12,15,27,29,48,58,180],[1,3,9,11,16,28,53,59,181],[1,3,
8,10,16,27,54,60,182],[1,2,3,8,11,12,16,29,34,51,60,183],[1,2,3,9,10,12,16,30,
33,52,59,184],[1,2,3,8,9,10,12,13,15,27,36,45,48,58,185],[1,2,3,8,9,11,12,13,
15,28,36,45,47,57,186],[1,2,3,8,9,12,13,15,29,36,46,47,58,187],[1,2,3,8,9,12,
13,15,30,36,46,48,57,188],[1,2,3,7,12,15,37,46,62,189],[1,3,8,10,11,16,27,34,
49,60,190],[1,3,9,10,11,16,28,33,50,59,191],[1,2,3,10,11,12,13,15,38,39,56,62,
192],[1,2,3,9,10,12,13,16,30,38,50,52,61,193],[1,2,3,8,11,12,13,16,29,39,49,
51,61,194],[1,3,9,10,11,15,28,33,56,57,195],[1,3,8,10,11,15,27,34,56,58,196],[
1,2,3,8,9,11,12,13,16,28,36,49,51,59,197],[1,2,3,8,9,10,12,13,16,27,36,50,52,
60,198],[1,2,3,7,8,12,15,29,37,46,48,63,199],[1,2,3,7,9,12,15,30,37,46,47,63,
200],[1,2,3,8,9,12,15,29,30,45,46,47,48,62,201],[1,2,3,7,8,9,12,13,15,36,37,
47,48,63,202],[1,2,3,7,11,12,13,14,37,39,55,66,203],[1,2,3,7,10,12,13,14,37,
38,55,66,204],[1,3,8,11,16,31,34,49,53,65,205],[1,3,9,10,16,32,33,50,54,64,
206],[1,2,3,11,12,13,16,31,39,51,53,65,207],[1,2,3,10,12,13,16,32,38,52,54,64,
208],[1,2,3,6,7,12,13,14,35,37,44,55,66,209],[1,2,3,8,10,11,12,13,15,16,40,43,
48,49,52,56,67,210],[1,2,3,9,10,11,12,13,15,16,41,42,47,50,51,56,67,211],[1,2,
3,8,9,10,11,13,15,16,40,41,45,49,50,56,67,212],[1,2,3,10,11,12,13,15,16,42,43,
46,51,52,56,67,213],[1,2,3,12,15,46,63,70,214],[1,2,3,9,12,15,46,47,57,62,63,
70,215],[1,2,3,8,12,15,46,48,58,62,63,70,216],[1,3,9,10,16,50,54,59,64,69,
217],[1,3,8,11,16,49,53,60,65,68,218],[1,2,3,8,9,12,15,45,47,48,57,58,63,70,
219],[1,2,3,10,12,16,52,54,61,64,69,220],[1,2,3,11,12,16,51,53,61,65,68,221],[
1,2,3,12,16,61,71,222],[1,3,9,16,59,71,223],[1,3,8,16,60,71,224],[1,3,10,11,
16,53,54,71,225],[1,3,11,16,53,69,71,226],[1,3,10,16,54,68,71,227],[1,3,16,68,
69,71,228],[1,229],[1,2,4,19,72,230],[1,3,4,20,72,231],[1,3,4,5,20,21,73,
232],[1,2,4,22,72,233],[1,2,4,19,22,72,234],[1,2,4,5,18,22,73,235],[1,3,4,5,
20,23,73,236],[1,2,6,17,76,237],[1,2,14,17,74,238],[1,3,15,17,75,239],[1,2,3,
12,17,74,75,76,240],[1,2,3,13,17,75,76,241],[1,4,25,242],[1,5,24,243],[1,5,24,
244],[1,5,25,245],[1,5,26,246],[1,5,25,247],[1,4,24,248],[1,2,5,6,7,14,18,44,
77,249],[1,2,5,6,7,14,18,44,78,250],[1,3,4,8,9,15,20,45,82,251],[1,3,4,8,9,15,
20,45,81,252],[1,2,3,4,9,12,15,19,47,82,253],[1,2,3,4,8,12,15,19,48,81,254],[
1,2,3,5,11,12,16,18,51,86,255],[1,2,3,5,10,12,16,18,52,85,256],[1,2,3,5,7,13,
14,21,55,77,257],[1,2,3,5,7,13,14,21,55,79,258],[1,3,5,8,11,16,21,49,86,259],[
1,3,5,9,10,16,21,50,85,260],[1,2,4,6,7,14,19,44,80,261],[1,3,5,10,11,15,21,56,
86,262],[1,3,5,10,11,15,21,56,85,263],[1,3,5,11,16,21,53,86,264],[1,3,5,10,16,
21,54,85,265],[1,3,4,9,10,16,20,50,82,266],[1,3,4,8,11,16,20,49,81,267],[1,3,
5,9,10,16,21,50,84,268],[1,3,5,8,11,16,21,49,83,269],[1,2,3,4,9,12,22,30,82,
270],[1,2,3,4,8,12,22,29,81,271],[1,2,3,5,7,12,23,37,77,272],[1,3,5,8,10,23,
27,85,273],[1,3,5,9,11,23,28,86,274],[1,2,3,5,10,12,13,23,42,85,275],[1,2,3,5,
11,12,13,23,43,86,276],[1,2,3,4,9,11,13,22,41,82,277],[1,2,3,4,8,10,13,22,40,
81,278],[1,3,5,11,23,31,86,279],[1,3,5,10,23,32,85,280],[1,2,3,4,6,12,13,22,
35,80,281],[1,3,5,9,10,23,33,84,282],[1,3,5,8,11,23,34,83,283],[1,2,3,4,6,12,
13,19,20,22,35,87,92,95,284],[1,2,3,5,9,11,13,18,21,23,41,90,93,96,285],[1,2,
3,5,8,10,13,18,21,23,40,89,94,96,286],[1,2,3,4,7,12,19,20,22,37,88,91,92,
287],[1,2,4,6,7,14,19,22,44,87,91,97,288],[1,3,5,9,10,16,21,23,50,90,94,98,
289],[1,3,5,8,11,16,21,23,49,89,93,98,290],[1,2,3,4,7,13,14,20,22,55,88,95,97,
291],[1,3,5,15,23,70,292],[1,3,5,16,23,69,293],[1,3,5,16,23,68,294],[1,3,5,8,
9,15,23,45,89,90,99,295],[1,2,4,6,7,14,22,44,87,88,100,296],[1,2,3,4,12,14,19,
20,22,66,92,97,100,297],[1,2,3,5,13,15,16,18,21,23,67,96,98,99,298],[1,2,3,4,
7,13,14,19,20,22,55,91,95,100,299],[1,3,5,10,11,15,21,23,56,93,94,99,300],[1,
17,301],[1,4,5,72,73,302],[1,2,6,25,102,303],[1,2,7,25,102,304],[1,2,14,25,
102,305],[1,2,4,17,19,76,104,306],[1,2,4,17,22,74,104,307],[1,3,4,17,20,75,
104,308],[1,2,3,8,9,10,12,13,27,33,36,38,40,42,105,115,119,309],[1,2,3,8,9,11,
12,13,28,34,36,39,41,43,106,114,118,310],[1,2,3,6,8,9,10,12,13,27,29,33,35,36,
38,40,42,111,112,115,117,119,311],[1,2,3,6,8,9,11,12,13,28,30,34,35,36,39,41,
43,111,113,114,116,118,312],[1,2,3,8,9,11,12,13,15,28,30,31,36,43,45,47,57,
108,113,120,179,186,313],[1,2,3,8,9,10,12,13,15,27,29,32,36,42,45,48,58,107,
112,121,180,185,314],[1,2,3,8,9,10,11,12,13,15,27,28,29,30,36,42,43,45,46,47,
48,57,58,62,112,113,124,185,186,187,188,201,315],[1,2,3,7,8,9,11,12,13,15,28,
30,36,37,43,46,47,48,57,63,109,113,123,179,188,200,202,316],[1,2,3,7,8,9,10,
12,13,15,27,29,36,37,42,46,47,48,58,63,110,112,122,180,187,199,202,317],[1,2,
3,8,9,10,11,12,13,16,27,28,30,33,36,38,40,43,50,52,59,60,61,113,115,130,184,
191,193,198,318],[1,2,3,8,9,10,11,12,13,16,27,28,29,34,36,39,41,42,49,51,59,
60,61,112,114,130,183,190,194,197,319],[1,2,3,8,9,10,11,12,13,15,27,28,33,34,
36,38,39,40,41,56,57,58,62,114,115,124,192,195,196,320],[1,2,3,6,7,8,10,12,13,
14,29,35,37,38,40,42,44,55,66,110,117,125,204,209,321],[1,2,3,6,7,9,11,12,13,
14,30,35,37,39,41,43,44,55,66,109,116,126,203,209,322],[1,2,3,7,8,9,12,15,29,
30,37,45,46,47,48,62,63,109,110,127,189,199,200,201,323],[1,2,3,8,9,10,12,13,
16,27,32,33,36,38,40,50,52,54,60,64,107,115,128,182,198,206,208,324],[1,2,3,8,
9,11,12,13,16,28,31,34,36,39,41,49,51,53,59,65,108,114,129,181,197,205,207,
325],[1,2,3,8,9,10,11,12,13,15,16,27,33,34,36,38,39,40,41,43,45,48,49,50,52,
56,58,60,67,115,118,132,185,190,196,198,210,212,326],[1,2,3,8,9,10,11,12,13,
15,16,28,33,34,36,38,39,40,41,42,45,47,49,50,51,56,57,59,67,114,119,131,186,
191,195,197,211,212,327],[1,2,3,8,9,10,11,12,13,15,16,28,30,33,36,38,40,42,43,
46,48,49,51,52,56,57,59,67,113,119,131,184,188,195,197,210,213,328],[1,2,3,8,
9,10,11,12,13,15,16,27,29,34,36,39,41,42,43,46,47,50,51,52,56,58,60,67,112,
118,132,183,187,196,198,211,213,329],[1,2,3,6,8,9,10,11,12,13,15,16,29,30,35,
38,39,40,41,42,43,45,46,47,48,49,50,51,52,56,61,62,67,116,117,133,192,193,194,
201,210,211,212,213,330],[1,2,3,6,8,9,12,13,15,29,35,36,46,47,58,111,158,187,
331],[1,2,3,6,8,9,12,13,15,30,35,36,46,48,57,111,159,188,332],[1,2,3,9,10,12,
16,30,33,52,59,105,152,184,333],[1,2,3,8,11,12,16,29,34,51,60,106,153,183,
334],[1,2,3,7,8,11,12,16,29,34,37,51,60,110,156,183,335],[1,2,3,7,9,10,12,16,
30,33,37,52,59,109,157,184,336],[1,2,3,6,8,9,10,12,13,15,16,27,35,36,45,48,50,
52,58,60,111,161,167,185,198,337],[1,2,3,6,8,9,11,12,13,15,16,28,35,36,45,47,
49,51,57,59,111,160,166,186,197,338],[1,2,3,8,9,10,11,12,13,16,28,33,36,38,40,
42,49,50,51,59,119,152,160,191,197,339],[1,2,3,8,9,10,11,12,13,16,27,34,36,39,
41,43,49,50,52,60,118,153,161,190,198,340],[1,3,9,10,11,15,16,28,31,33,50,56,
57,59,108,150,165,191,195,341],[1,3,8,10,11,15,16,27,32,34,49,56,58,60,107,
151,164,190,196,342],[1,2,3,8,9,10,11,12,13,15,27,28,34,36,39,41,45,48,56,58,
114,155,158,185,196,343],[1,2,3,8,9,10,11,12,13,15,27,28,33,36,38,40,45,47,56,
57,115,154,159,186,195,344],[1,2,3,8,9,11,12,13,15,16,28,34,36,39,41,45,47,53,
57,59,114,160,165,181,186,345],[1,2,3,8,9,10,12,13,15,16,27,33,36,38,40,45,48,
54,58,60,115,161,164,182,185,346],[1,2,3,8,9,11,12,13,15,16,29,34,36,39,41,43,
46,47,51,58,60,118,155,167,183,187,347],[1,2,3,8,9,10,12,13,15,16,30,33,36,38,
40,42,46,48,52,57,59,119,154,166,184,188,348],[1,2,3,8,9,11,12,13,15,16,28,29,
34,36,39,41,46,47,51,58,60,114,161,168,183,187,349],[1,2,3,8,9,10,12,13,15,16,
27,30,33,36,38,40,46,48,52,57,59,115,160,169,184,188,350],[1,2,3,8,9,11,12,13,
15,28,30,34,36,39,41,46,47,48,57,114,150,159,179,188,351],[1,2,3,8,9,10,12,13,
15,27,29,33,36,38,40,46,47,48,58,115,151,158,180,187,352],[1,3,8,10,11,15,16,
27,34,49,56,58,60,106,155,168,190,196,353],[1,3,9,10,11,15,16,28,33,50,56,57,
59,105,154,169,191,195,354],[1,3,8,11,16,31,34,49,53,65,106,174,205,355],[1,3,
9,10,16,32,33,50,54,64,105,173,206,356],[1,2,3,7,8,9,11,12,13,14,15,28,34,36,
37,39,41,47,48,55,63,66,114,170,176,202,203,357],[1,2,3,7,8,9,10,12,13,14,15,
27,33,36,37,38,40,47,48,55,63,66,115,170,177,202,204,358],[1,2,3,7,8,11,12,13,
14,16,29,37,39,49,51,55,61,66,110,163,175,194,203,359],[1,2,3,7,9,10,12,13,14,
16,30,37,38,50,52,55,61,66,109,162,175,193,204,360],[1,2,3,8,9,11,12,13,15,16,
28,30,36,43,47,49,51,53,57,59,113,157,165,166,179,181,197,361],[1,2,3,8,9,10,
12,13,15,16,27,29,36,42,48,50,52,54,58,60,112,156,164,167,180,182,198,362],[1,
2,3,8,9,10,11,12,13,15,16,27,28,33,36,38,40,49,50,51,56,57,59,115,152,166,169,
191,195,197,363],[1,2,3,8,9,10,11,12,13,15,16,27,28,34,36,39,41,49,50,52,56,
58,60,114,153,167,168,190,196,198,364],[1,2,3,6,7,8,9,12,13,14,15,35,36,37,44,
47,48,55,63,66,111,170,178,202,209,365],[1,2,3,8,9,10,11,12,13,15,16,28,33,36,
38,40,42,45,47,49,51,56,57,59,119,159,166,169,186,195,197,366],[1,2,3,8,9,10,
11,12,13,15,16,27,34,36,39,41,43,45,48,50,52,56,58,60,118,158,167,168,185,196,
198,367],[1,2,3,6,7,9,11,12,13,14,15,30,35,37,39,41,43,44,46,47,55,63,66,116,
162,176,178,200,203,209,368],[1,2,3,6,7,8,10,12,13,14,15,29,35,37,38,40,42,44,
46,48,55,63,66,117,163,177,178,199,204,209,369],[1,2,3,8,9,11,12,13,16,31,34,
36,39,41,43,49,51,53,65,118,172,174,205,207,370],[1,2,3,8,9,10,12,13,16,32,33,
36,38,40,42,50,52,54,64,119,171,173,206,208,371],[1,3,9,10,11,16,28,33,50,53,
59,139,181,191,372],[1,3,8,10,11,16,27,34,49,54,60,140,182,190,373],[1,2,3,8,
10,11,12,15,16,27,29,34,48,51,54,56,58,60,141,180,182,183,196,374],[1,2,3,9,
10,11,12,15,16,28,30,33,47,52,53,56,57,59,142,179,181,184,195,375],[1,2,3,7,
10,11,12,13,14,15,37,38,39,46,55,56,62,66,145,189,192,203,204,376],[1,2,3,8,9,
11,12,13,15,28,30,36,43,57,63,113,123,150,159,377],[1,2,3,8,9,10,12,13,15,27,
29,36,42,58,63,112,122,151,158,378],[1,2,3,8,9,11,12,13,16,28,30,36,43,59,65,
113,129,157,160,379],[1,2,3,8,9,10,12,13,16,27,29,36,42,60,64,112,128,156,161,
380],[1,2,3,8,9,11,12,13,15,16,28,30,36,43,58,60,67,113,132,158,161,167,381],[
1,2,3,8,9,10,12,13,15,16,27,29,36,42,57,59,67,112,131,159,160,166,382],[1,2,3,
8,9,10,12,13,14,27,29,36,42,66,112,125,163,170,383],[1,2,3,8,9,11,12,13,14,28,
30,36,43,66,113,126,162,170,384],[1,2,3,8,9,10,12,13,15,16,27,33,36,38,40,57,
59,67,115,131,152,154,169,385],[1,2,3,8,9,11,12,13,15,16,28,34,36,39,41,58,60,
67,114,132,153,155,168,386],[1,2,3,8,9,10,12,13,15,16,27,33,36,38,40,58,60,64,
115,121,128,164,167,387],[1,2,3,8,9,11,12,13,15,16,28,34,36,39,41,57,59,65,
114,120,129,165,166,388],[1,2,3,8,9,10,12,13,15,16,33,36,38,40,42,57,58,59,62,
67,119,124,131,154,159,166,169,389],[1,2,3,8,9,11,12,13,15,16,34,36,39,41,43,
57,58,60,62,67,118,124,132,155,158,167,168,390],[1,2,3,8,9,11,12,13,15,16,34,
36,39,41,43,58,59,60,61,67,118,130,132,153,161,167,168,391],[1,2,3,8,9,10,12,
13,15,16,33,36,38,40,42,57,59,60,61,67,119,130,131,152,160,166,169,392],[1,2,
3,6,8,10,12,13,14,15,29,35,38,40,42,58,63,66,117,122,125,177,178,393],[1,2,3,
6,9,11,12,13,14,15,30,35,39,41,43,57,63,66,116,123,126,176,178,394],[1,2,3,8,
9,11,12,13,16,28,34,36,39,41,59,65,114,129,172,174,395],[1,2,3,8,9,10,12,13,
16,27,33,36,38,40,60,64,115,128,171,173,396],[1,2,3,6,8,9,12,13,15,16,35,36,
57,58,59,60,61,62,67,111,124,130,131,132,133,397],[1,2,3,7,8,9,10,11,12,13,15,
27,28,36,37,45,47,48,57,58,63,70,185,186,202,219,398],[1,3,9,10,11,16,28,32,
33,50,54,59,64,69,191,206,217,399],[1,3,8,10,11,16,27,31,34,49,53,60,65,68,
190,205,218,400],[1,2,3,7,8,9,12,13,15,29,30,36,37,46,47,48,57,58,62,63,70,
187,188,189,199,200,202,214,215,216,401],[1,2,3,8,11,12,13,16,29,31,34,39,49,
51,53,60,61,65,68,183,194,205,207,218,221,402],[1,2,3,9,10,12,13,16,30,32,33,
38,50,52,54,59,61,64,69,184,193,206,208,217,220,403],[1,2,3,7,8,9,10,12,13,15,
27,29,30,36,37,45,46,47,48,57,58,62,63,70,180,185,188,199,201,202,216,219,
404],[1,2,3,7,8,9,11,12,13,15,28,29,30,36,37,45,46,47,48,57,58,62,63,70,179,
186,187,200,201,202,215,219,405],[1,3,8,11,15,16,34,58,60,140,144,168,406],[1,
3,9,10,15,16,33,57,59,139,143,169,407],[1,3,8,11,15,16,34,58,60,141,144,148,
153,155,168,408],[1,3,9,10,15,16,33,57,59,142,143,147,152,154,169,409],[1,2,3,
8,9,12,13,15,16,36,57,58,59,62,124,142,143,159,160,410],[1,2,3,8,9,12,13,15,
16,36,57,58,60,62,124,141,144,158,161,411],[1,2,3,8,9,12,13,15,16,36,57,59,60,
61,130,139,142,147,166,412],[1,2,3,8,9,12,13,15,16,36,58,59,60,61,130,140,141,
148,167,413],[1,2,3,8,9,12,13,14,15,36,57,58,62,66,124,145,146,170,414],[1,3,
9,10,11,15,16,28,33,50,57,59,120,143,150,154,191,415],[1,3,8,10,11,15,16,27,
34,49,58,60,121,144,151,155,190,416],[1,2,3,8,9,10,12,13,15,16,27,36,45,48,58,
59,60,61,130,144,158,164,185,417],[1,2,3,8,9,11,12,13,15,16,28,36,45,47,57,59,
60,61,130,143,159,165,186,418],[1,2,3,8,9,10,12,13,15,16,27,36,50,52,57,58,60,
62,124,144,148,151,164,167,198,419],[1,2,3,8,9,11,12,13,15,16,28,36,49,51,57,
58,59,62,124,143,147,150,165,166,197,420],[1,2,3,9,10,12,15,16,30,33,52,57,59,
63,123,147,157,169,184,421],[1,2,3,8,11,12,15,16,29,34,51,58,60,63,122,148,
156,168,183,422],[1,2,3,8,9,12,13,15,16,29,36,46,47,58,59,60,61,130,148,156,
161,187,423],[1,2,3,8,9,12,13,15,16,30,36,46,48,57,59,60,61,130,147,157,160,
188,424],[1,3,9,10,11,15,16,28,33,56,57,59,65,129,143,147,152,165,169,195,
425],[1,3,8,10,11,15,16,27,34,56,58,60,64,128,144,148,153,164,168,196,426],[1,
2,3,7,8,9,12,13,14,15,16,36,37,47,48,59,60,61,63,66,130,149,170,175,202,427],[
1,2,3,9,10,12,13,14,15,16,30,38,50,52,57,61,63,66,123,149,162,177,193,428],[1,
2,3,8,11,12,13,14,15,16,29,39,49,51,58,61,63,66,122,149,163,176,194,429],[1,2,
3,8,11,12,16,29,34,51,60,69,134,140,153,156,183,430],[1,2,3,9,10,12,16,30,33,
52,59,68,135,139,152,157,184,431],[1,3,8,10,11,15,16,27,34,49,58,60,69,134,
141,164,168,190,432],[1,3,9,10,11,15,16,28,33,50,57,59,68,135,142,165,169,191,
433],[1,3,8,10,11,15,16,27,34,56,58,60,70,136,141,151,155,164,168,196,434],[1,
3,9,10,11,15,16,28,33,56,57,59,70,137,142,150,154,165,169,195,435],[1,2,3,10,
11,12,13,14,15,38,39,56,62,63,66,70,138,145,176,177,192,436],[1,2,3,8,9,11,12,
13,15,28,30,36,45,46,47,48,57,58,62,63,70,120,123,124,137,179,186,188,215,219,
437],[1,2,3,8,9,10,12,13,15,27,29,36,45,46,47,48,57,58,62,63,70,121,122,124,
136,180,185,187,216,219,438],[1,2,3,8,9,11,12,13,16,28,36,49,51,53,59,60,61,
65,68,129,130,135,181,197,218,221,439],[1,2,3,8,9,10,12,13,16,27,36,50,52,54,
59,60,61,64,69,128,130,134,182,198,217,220,440],[1,2,3,7,8,9,12,13,15,36,37,
46,47,48,57,58,62,63,70,124,127,138,189,202,215,216,441],[1,2,3,7,8,9,12,15,
29,30,37,45,46,47,48,57,58,62,63,70,122,123,127,138,199,200,201,214,215,216,
219,442],[1,2,3,6,12,13,15,16,35,61,62,67,133,443],[1,2,3,8,9,12,15,45,46,47,
48,57,58,62,63,70,136,137,138,214,215,216,219,444],[1,2,3,6,7,12,13,14,15,16,
35,37,44,46,55,61,62,66,67,133,146,175,189,209,445],[1,2,3,8,9,11,12,13,15,16,
28,36,45,47,49,51,53,57,59,67,131,147,150,165,181,186,197,446],[1,2,3,8,9,10,
12,13,15,16,27,36,45,48,50,52,54,58,60,67,132,148,151,164,182,185,198,447],[1,
2,3,9,10,11,12,15,16,28,30,33,47,52,56,57,59,63,123,143,154,165,179,184,195,
448],[1,2,3,8,10,11,12,15,16,27,29,34,48,51,56,58,60,63,122,144,155,164,180,
183,196,449],[1,3,9,10,11,15,16,28,33,53,56,57,59,120,143,150,169,181,195,
450],[1,3,8,10,11,15,16,27,34,54,56,58,60,121,144,151,168,182,196,451],[1,2,3,
8,10,11,12,15,16,27,29,34,48,49,51,58,60,64,128,148,156,168,180,183,190,452],[
1,2,3,9,10,11,12,15,16,28,30,33,47,50,52,57,59,65,129,147,157,169,179,184,191,
453],[1,3,8,10,11,15,16,27,34,49,54,56,58,60,64,128,148,153,164,182,190,196,
454],[1,3,9,10,11,15,16,28,33,50,53,56,57,59,65,129,147,152,165,181,191,195,
455],[1,2,3,8,9,11,12,13,15,16,28,30,36,46,47,48,49,51,57,59,67,131,143,157,
165,179,188,197,456],[1,2,3,8,9,10,12,13,15,16,27,29,36,46,47,48,50,52,58,60,
67,132,144,156,164,180,187,198,457],[1,2,3,7,9,10,12,13,14,15,16,30,37,38,46,
47,50,52,55,61,63,66,126,149,175,177,193,200,204,458],[1,2,3,7,8,11,12,13,14,
15,16,29,37,39,46,48,49,51,55,61,63,66,125,149,175,176,194,199,203,459],[1,2,
3,7,10,11,12,13,14,15,37,38,39,55,56,62,63,66,127,146,176,177,192,203,204,
460],[1,2,3,8,9,12,13,15,16,30,36,46,48,57,59,63,67,123,131,142,143,157,166,
188,461],[1,2,3,8,9,12,13,15,16,29,36,46,47,58,60,63,67,122,132,141,144,156,
167,187,462],[1,2,3,8,9,11,12,13,15,16,28,36,49,51,57,59,67,120,131,142,147,
159,165,197,463],[1,2,3,8,9,10,12,13,15,16,27,36,50,52,58,60,67,121,132,141,
148,158,164,198,464],[1,2,3,8,9,11,12,13,15,16,28,36,45,47,57,59,65,67,129,
131,142,143,150,166,186,465],[1,2,3,8,9,10,12,13,15,16,27,36,45,48,58,60,64,
67,128,132,141,144,151,167,185,466],[1,2,3,8,9,11,12,13,15,16,28,36,49,51,57,
59,65,67,129,131,139,147,160,165,197,467],[1,2,3,8,9,10,12,13,15,16,27,36,50,
52,58,60,64,67,128,132,140,148,161,164,198,468],[1,2,3,8,9,12,14,15,29,30,45,
46,47,48,62,66,125,126,145,146,162,163,201,469],[1,2,3,6,7,12,13,14,15,16,35,
37,44,55,61,62,63,66,67,127,133,145,149,175,178,209,470],[1,2,3,8,9,11,12,13,
14,15,16,28,36,45,47,57,60,66,161,170,186,471],[1,2,3,8,9,10,12,13,14,15,16,
27,36,45,48,58,59,66,160,170,185,472],[1,2,3,7,8,9,12,13,15,16,36,37,47,48,57,
60,63,159,161,202,473],[1,2,3,7,8,9,12,13,15,16,36,37,47,48,58,59,63,158,160,
202,474],[1,2,3,8,9,12,13,14,15,16,30,36,46,48,57,60,66,161,170,188,475],[1,2,
3,8,9,12,13,14,15,16,29,36,46,47,58,59,66,160,170,187,476],[1,2,3,9,10,12,14,
16,30,33,52,59,66,162,184,477],[1,2,3,8,11,12,14,16,29,34,51,60,66,163,183,
478],[1,2,3,7,8,9,12,13,15,36,37,47,48,57,58,63,158,159,202,479],[1,2,3,8,11,
12,16,29,34,51,60,65,174,183,480],[1,2,3,9,10,12,16,30,33,52,59,64,173,184,
481],[1,2,3,8,9,12,13,14,15,29,36,46,47,57,58,66,159,170,187,482],[1,2,3,8,9,
12,13,14,15,30,36,46,48,57,58,66,158,170,188,483],[1,2,3,7,8,9,12,13,15,16,36,
37,47,48,59,60,63,160,161,202,484],[1,3,9,10,11,15,16,28,33,50,57,59,150,191,
485],[1,3,8,10,11,15,16,27,34,49,58,60,151,190,486],[1,3,9,10,11,16,28,33,50,
59,64,173,191,487],[1,3,8,10,11,16,27,34,49,60,65,174,190,488],[1,3,8,11,16,
31,34,49,53,60,65,153,174,205,489],[1,3,9,10,16,32,33,50,54,59,64,152,173,206,
490],[1,2,3,8,9,10,12,13,14,15,27,36,45,48,57,58,66,159,170,185,491],[1,2,3,8,
9,11,12,13,14,15,28,36,45,47,57,58,66,158,170,186,492],[1,2,3,8,11,12,13,14,
16,29,39,49,51,60,61,66,156,163,194,493],[1,2,3,9,10,12,13,14,16,30,38,50,52,
59,61,66,157,162,193,494],[1,3,8,11,15,16,31,34,49,53,58,65,155,174,205,495],[
1,3,9,10,15,16,32,33,50,54,57,64,154,173,206,496],[1,2,3,10,11,12,13,15,16,38,
39,56,62,64,171,192,497],[1,2,3,10,11,12,13,15,16,38,39,56,62,65,172,192,
498],[1,2,3,8,9,12,13,15,16,36,58,60,67,70,132,136,144,148,158,167,499],[1,2,
3,8,9,12,13,15,16,36,57,59,67,70,131,137,143,147,159,166,500],[1,2,3,8,9,12,
13,15,16,36,57,59,67,68,131,135,143,147,160,166,501],[1,2,3,8,9,12,13,15,16,
36,58,60,67,69,132,134,144,148,161,167,502],[1,2,3,6,12,13,14,15,16,35,61,62,
63,66,67,70,133,138,146,149,178,503],[1,3,9,10,11,16,28,33,50,59,71,191,223,
504],[1,3,8,10,11,16,27,34,49,60,71,190,224,505],[1,2,3,8,11,12,16,29,34,51,
60,71,183,224,506],[1,2,3,9,10,12,16,30,33,52,59,71,184,223,507],[1,2,3,8,9,
12,13,16,36,59,60,61,71,130,222,223,224,508],[1,3,9,10,16,50,54,59,64,69,71,
139,217,223,509],[1,3,8,11,16,49,53,60,65,68,71,140,218,224,510],[1,3,8,11,15,
16,49,53,58,60,65,68,71,141,218,224,511],[1,3,9,10,15,16,50,54,57,59,64,69,71,
142,217,223,512],[1,3,9,10,16,50,54,59,64,68,69,71,135,217,223,227,228,513],[
1,3,8,11,16,49,53,60,65,68,69,71,134,218,224,226,228,514],[1,3,9,10,11,16,28,
50,53,54,59,64,69,71,181,217,223,225,226,515],[1,3,8,10,11,16,27,49,53,54,60,
65,68,71,182,218,224,225,227,516],[1,2,3,6,12,13,15,16,35,61,62,67,71,133,222,
517],[1,2,3,10,11,12,16,51,52,53,54,61,64,65,68,69,71,220,221,222,225,226,227,
228,518],[1,3,229,519],[1,2,4,6,22,72,87,233,520],[1,2,3,4,12,19,20,22,72,92,
230,231,233,521],[1,2,3,4,13,20,22,72,95,231,233,522],[1,2,4,6,22,72,80,87,
523],[1,2,4,5,6,22,73,78,87,524],[1,2,4,5,7,22,73,77,79,88,525],[1,3,4,5,8,23,
73,81,83,89,526],[1,3,4,5,9,23,73,82,84,90,527],[1,3,4,16,20,72,231,528],[1,3,
4,15,20,72,231,529],[1,2,4,7,19,22,72,91,230,234,530],[1,2,3,4,12,19,20,22,72,
92,231,234,531],[1,2,3,4,5,13,18,20,21,22,23,73,95,96,232,235,236,532],[1,2,4,
7,19,22,72,88,91,233,234,533],[1,2,4,14,22,72,97,100,233,534],[1,2,3,6,12,13,
17,35,74,75,76,237,240,241,535],[1,2,3,12,15,17,63,74,75,76,239,240,536],[1,2,
3,12,14,17,66,74,75,76,238,240,537],[1,2,4,22,25,102,242,538],[1,3,5,23,26,
103,246,539],[1,2,5,18,25,102,247,540],[1,3,4,20,24,101,248,541],[1,3,5,23,24,
101,244,542],[1,3,4,9,10,33,82,105,543],[1,3,4,8,11,34,81,106,544],[1,2,3,4,6,
8,9,12,13,35,36,80,82,111,545],[1,2,3,4,6,8,9,12,13,35,36,80,81,111,546],[1,3,
5,9,10,33,84,85,105,547],[1,3,5,8,11,34,83,86,106,548],[1,2,3,5,7,9,12,30,37,
79,84,109,549],[1,2,3,5,7,8,12,29,37,79,83,110,550],[1,2,3,4,7,9,12,22,30,37,
82,88,109,270,551],[1,2,3,4,7,8,12,22,29,37,81,88,110,271,552],[1,2,3,5,7,8,
12,23,29,37,77,89,110,272,553],[1,2,3,5,7,9,12,23,30,37,77,90,109,272,554],[1,
3,5,9,10,23,33,84,90,105,282,555],[1,3,5,8,11,23,34,83,89,106,283,556],[1,2,3,
4,6,8,9,12,13,22,35,36,80,87,111,281,557],[1,2,3,4,6,9,11,12,13,22,30,35,39,
41,43,82,87,116,270,277,558],[1,2,3,4,6,8,10,12,13,22,29,35,38,40,42,81,87,
117,271,278,559],[1,2,3,5,8,9,11,12,13,23,28,30,36,43,86,89,113,274,276,560],[
1,2,3,5,8,9,10,12,13,23,27,29,36,42,85,90,112,273,275,561],[1,3,5,8,10,23,27,
32,85,89,107,273,280,562],[1,3,5,9,11,23,28,31,86,90,108,274,279,563],[1,3,5,
8,16,60,83,140,564],[1,3,5,9,16,59,84,139,565],[1,2,3,4,7,9,12,15,19,22,30,37,
46,47,63,82,91,200,253,270,566],[1,2,3,4,7,8,12,15,19,22,29,37,46,48,63,81,91,
199,254,271,567],[1,2,3,5,6,7,12,13,14,18,21,23,35,37,44,55,66,77,96,209,249,
257,272,568],[1,2,3,4,8,9,12,15,19,20,22,29,30,45,46,47,48,62,81,92,201,252,
254,271,569],[1,2,3,4,8,9,12,15,19,20,22,29,30,45,46,47,48,62,82,92,201,251,
253,270,570],[1,2,3,5,8,9,10,12,13,16,18,21,23,27,36,50,52,60,85,96,198,256,
260,273,571],[1,2,3,5,8,9,11,12,13,16,18,21,23,28,36,49,51,59,86,96,197,255,
259,274,572],[1,2,3,4,8,11,12,13,16,20,22,29,39,49,51,61,81,95,194,267,271,
573],[1,2,3,4,9,10,12,13,16,20,22,30,38,50,52,61,82,95,193,266,270,574],[1,2,
3,5,7,11,12,13,14,21,23,37,39,55,66,77,93,203,257,272,575],[1,2,3,5,7,10,12,
13,14,21,23,37,38,55,66,77,94,204,257,272,576],[1,3,5,9,11,16,21,23,28,53,59,
86,93,181,264,274,577],[1,3,5,8,10,16,21,23,27,54,60,85,94,182,265,273,578],[
1,3,5,8,10,11,15,21,23,27,34,56,58,85,93,196,263,273,579],[1,3,5,9,10,11,15,
21,23,28,33,56,57,86,94,195,262,274,580],[1,2,3,4,6,7,12,13,14,19,22,35,37,44,
55,66,80,91,209,261,281,581],[1,3,5,8,11,16,21,23,31,34,49,53,65,86,93,205,
259,264,279,582],[1,3,5,9,10,16,21,23,32,33,50,54,64,85,94,206,260,265,280,
583],[1,2,3,4,8,9,10,11,13,15,16,20,22,40,41,45,49,50,56,67,81,95,212,252,267,
278,584],[1,2,3,4,8,9,10,11,13,15,16,20,22,40,41,45,49,50,56,67,82,95,212,251,
266,277,585],[1,2,3,4,9,10,11,12,13,15,16,19,20,22,41,42,47,50,51,56,67,82,92,
211,253,266,277,586],[1,2,3,4,8,10,11,12,13,15,16,19,20,22,40,43,48,49,52,56,
67,81,92,210,254,267,278,587],[1,3,5,9,10,16,21,23,32,33,50,54,64,84,94,206,
268,282,588],[1,3,5,8,11,16,21,23,31,34,49,53,65,83,93,205,269,283,589],[1,2,
3,5,9,10,11,12,13,15,16,21,23,41,42,47,50,51,56,67,85,93,211,260,263,275,
590],[1,2,3,5,8,10,11,12,13,15,16,21,23,40,43,48,49,52,56,67,86,94,210,259,
262,276,591],[1,2,3,5,11,12,13,16,18,21,23,31,39,51,53,65,86,96,207,255,264,
279,592],[1,2,3,5,10,12,13,16,18,21,23,32,38,52,54,64,85,96,208,256,265,280,
593],[1,2,3,5,10,11,12,13,15,16,18,21,23,42,43,46,51,52,56,67,86,96,213,255,
262,276,594],[1,2,3,5,10,11,12,13,15,16,18,21,23,42,43,46,51,52,56,67,85,96,
213,256,263,275,595],[1,2,3,4,8,12,14,22,29,66,81,100,125,271,596],[1,2,3,4,9,
12,14,22,30,66,82,100,126,270,597],[1,2,3,5,7,12,15,23,37,62,63,77,99,127,272,
598],[1,3,5,8,10,15,23,27,58,85,99,121,273,599],[1,3,5,9,11,15,23,28,57,86,99,
120,274,600],[1,2,3,4,8,12,14,22,29,66,81,97,163,271,601],[1,2,3,4,9,12,14,22,
30,66,82,97,162,270,602],[1,3,5,8,10,15,16,23,27,58,60,85,98,164,273,603],[1,
3,5,9,11,15,16,23,28,57,59,86,98,165,274,604],[1,2,3,5,7,12,14,16,23,37,61,66,
77,98,175,272,605],[1,3,5,9,10,16,23,33,64,84,98,173,282,606],[1,3,5,8,11,16,
23,34,65,83,98,174,283,607],[1,2,3,4,6,12,13,14,15,22,35,63,66,80,97,178,281,
608],[1,3,5,16,23,68,69,71,98,228,294,609],[1,3,5,16,23,68,69,71,98,228,293,
610],[1,3,5,8,15,23,58,70,89,136,292,611],[1,3,5,9,15,23,57,70,90,137,292,
612],[1,3,5,9,16,23,59,68,90,135,294,613],[1,3,5,8,16,23,60,69,89,134,293,
614],[1,3,5,10,16,21,23,54,68,71,94,227,294,615],[1,3,5,11,16,21,23,53,69,71,
93,226,293,616],[1,2,3,5,12,15,23,46,63,70,99,214,292,617],[1,2,3,4,6,7,12,13,
14,19,20,22,35,37,44,55,66,87,88,91,92,95,97,100,209,284,287,288,291,296,297,
299,618],[1,2,3,5,8,9,10,11,13,15,16,18,21,23,40,41,45,49,50,56,67,89,90,93,
94,96,98,99,212,285,286,289,290,295,298,300,619],[1,24,620],[1,24,25,621],[1,
24,26,622],[1,3,17,75,301,623],[1,2,17,74,76,301,624],[1,2,4,5,18,19,22,72,73,
234,235,302,625],[1,3,4,5,20,21,23,72,73,232,236,302,626],[1,2,4,5,19,22,72,
73,230,234,302,627],[1,3,11,26,31,628],[1,3,10,26,32,629],[1,2,6,7,14,25,44,
102,303,304,305,630],[1,2,4,6,17,19,74,80,631],[1,3,4,9,17,20,75,82,632],[1,3,
4,8,17,20,75,81,633],[1,2,5,7,17,18,74,79,634],[1,2,4,6,17,76,80,104,237,
635],[1,2,4,14,17,22,74,97,104,238,307,636],[1,2,4,14,17,22,74,100,104,238,
307,637],[1,2,3,4,12,17,19,20,22,74,75,76,92,104,240,306,307,308,638],[1,4,5,
25,73,242,245,247,639],[1,4,5,24,73,243,244,248,640],[1,2,3,6,8,9,10,12,13,27,
29,33,35,36,38,40,42,105,111,112,115,117,119,309,311,641],[1,2,3,6,8,9,11,12,
13,28,30,34,35,36,39,41,43,106,111,113,114,116,118,310,312,642],[1,2,3,7,8,11,
12,16,29,34,37,51,60,69,106,110,134,140,153,156,183,334,335,430,643],[1,2,3,7,
9,10,12,16,30,33,37,52,59,68,105,109,135,139,152,157,184,333,336,431,644],[1,
3,9,10,11,15,16,28,31,33,50,56,57,59,68,70,105,108,135,137,142,150,154,165,
169,191,195,341,354,433,435,645],[1,3,8,10,11,15,16,27,32,34,49,56,58,60,69,
70,106,107,134,136,141,151,155,164,168,190,196,342,353,432,434,646],[1,2,3,6,
7,8,9,11,12,13,15,28,30,34,35,36,37,39,41,43,46,47,48,57,63,109,111,113,114,
116,118,123,150,159,179,188,200,202,312,316,332,351,377,647],[1,2,3,6,7,8,9,
10,12,13,15,27,29,33,35,36,37,38,40,42,46,47,48,58,63,110,111,112,115,117,119,
122,151,158,180,187,199,202,311,317,331,352,378,648],[1,2,3,6,8,9,11,12,13,15,
16,28,30,31,34,35,36,39,41,43,45,47,49,51,53,57,59,65,108,111,113,114,116,118,
120,129,157,160,165,166,179,181,186,197,205,207,312,313,325,338,345,361,379,
388,649],[1,2,3,6,8,9,10,12,13,15,16,27,29,32,33,35,36,38,40,42,45,48,50,52,
54,58,60,64,107,111,112,115,117,119,121,128,156,161,164,167,180,182,185,198,
206,208,311,314,324,337,346,362,380,387,650],[1,2,3,8,9,10,12,13,16,27,32,33,
36,38,40,42,50,52,54,60,64,105,107,115,119,128,171,173,182,198,206,208,309,
324,356,371,396,651],[1,2,3,8,9,11,12,13,16,28,31,34,36,39,41,43,49,51,53,59,
65,106,108,114,118,129,172,174,181,197,205,207,310,325,355,370,395,652],[1,2,
3,6,7,8,9,11,12,13,14,15,28,30,34,35,36,37,39,41,43,44,46,47,48,55,57,63,66,
109,111,113,114,116,118,123,126,162,170,176,178,179,188,200,202,203,209,312,
316,322,357,365,368,384,394,653],[1,2,3,6,7,8,9,10,12,13,14,15,27,29,33,35,36,
37,38,40,42,44,46,47,48,55,58,63,66,110,111,112,115,117,119,122,125,163,170,
177,178,180,187,199,202,204,209,311,317,321,358,365,369,383,393,654],[1,2,3,6,
8,9,10,11,12,13,15,16,27,28,29,30,33,35,36,38,40,42,43,45,46,47,48,49,51,52,
56,57,58,59,62,67,111,112,113,115,117,119,124,131,154,159,160,166,169,184,185,
186,187,188,195,197,201,210,213,311,315,328,332,338,344,348,350,366,382,389,
655],[1,2,3,6,8,9,10,11,12,13,15,16,27,28,29,30,34,35,36,39,41,42,43,45,46,47,
48,50,51,52,56,57,58,60,62,67,111,112,113,114,116,118,124,132,155,158,161,167,
168,183,185,186,187,188,196,198,201,211,213,312,315,329,331,337,343,347,349,
367,381,390,656],[1,2,3,8,9,10,11,12,13,15,16,27,28,33,34,36,38,39,40,41,42,
45,47,49,50,51,56,57,58,59,62,67,105,114,115,119,124,131,152,154,159,166,169,
186,191,192,195,196,197,211,212,309,320,327,344,354,363,366,385,389,657],[1,2,
3,8,9,10,11,12,13,15,16,27,28,33,34,36,38,39,40,41,43,45,48,49,50,52,56,57,58,
60,62,67,106,114,115,118,124,132,153,155,158,167,168,185,190,192,195,196,198,
210,212,310,320,326,343,353,364,367,386,390,658],[1,2,3,6,8,9,10,11,12,13,15,
16,27,28,30,33,34,35,36,38,39,40,41,43,45,48,49,50,52,56,58,59,60,61,67,111,
113,114,115,116,118,130,132,153,158,161,167,168,184,185,190,191,193,196,198,
210,212,312,318,326,337,340,364,367,381,391,659],[1,2,3,6,8,9,10,11,12,13,15,
16,27,28,29,33,34,35,36,38,39,40,41,42,45,47,49,50,51,56,57,59,60,61,67,111,
112,114,115,117,119,130,131,152,159,160,166,169,183,186,190,191,194,195,197,
211,212,311,319,327,338,339,363,366,382,392,660],[1,2,3,8,9,10,11,12,13,15,16,
27,28,29,34,36,39,41,42,43,46,47,49,50,51,52,56,58,59,60,61,67,106,112,114,
118,130,132,153,155,161,167,168,183,187,190,194,196,197,198,211,213,310,319,
329,334,340,347,349,353,364,386,391,661],[1,2,3,8,9,10,11,12,13,15,16,27,28,
30,33,36,38,40,42,43,46,48,49,50,51,52,56,57,59,60,61,67,105,113,115,119,130,
131,152,154,160,166,169,184,188,191,193,195,197,198,210,213,309,318,328,333,
339,348,350,354,363,385,392,662],[1,2,3,7,8,9,10,11,12,13,15,27,28,29,30,32,
36,37,42,43,45,46,47,48,57,58,62,63,70,107,110,112,113,121,122,124,136,180,
185,186,187,188,199,201,202,216,219,314,315,317,398,404,438,663],[1,2,3,7,8,9,
10,11,12,13,15,27,28,29,30,31,36,37,42,43,45,46,47,48,57,58,62,63,70,108,109,
112,113,120,123,124,137,179,185,186,187,188,200,201,202,215,219,313,315,316,
398,405,437,664],[1,2,3,8,9,10,11,12,13,16,27,28,29,31,34,36,39,41,42,49,51,
53,59,60,61,65,68,108,112,114,129,130,135,181,183,190,194,197,205,207,218,221,
319,325,400,402,439,665],[1,2,3,8,9,10,11,12,13,16,27,28,30,32,33,36,38,40,43,
50,52,54,59,60,61,64,69,107,113,115,128,130,134,182,184,191,193,198,206,208,
217,220,318,324,399,403,440,666],[1,2,3,7,8,9,10,11,12,13,15,27,28,29,30,36,
37,42,43,45,46,47,48,57,58,62,63,70,109,110,112,113,122,123,124,127,138,179,
180,185,186,187,188,189,199,200,201,202,214,215,216,219,315,316,317,323,401,
404,405,441,442,667],[1,2,3,6,8,9,10,12,13,14,27,29,33,35,36,38,40,42,66,111,
112,115,117,119,125,163,170,311,383,668],[1,2,3,6,8,9,11,12,13,14,28,30,34,35,
36,39,41,43,66,111,113,114,116,118,126,162,170,312,384,669],[1,2,3,6,8,9,10,
12,13,16,27,29,33,35,36,38,40,42,60,64,111,112,115,117,119,128,156,161,171,
173,311,380,396,670],[1,2,3,6,8,9,11,12,13,16,28,30,34,35,36,39,41,43,59,65,
111,113,114,116,118,129,157,160,172,174,312,379,395,671],[1,2,3,8,9,10,12,13,
15,16,27,33,36,38,40,42,58,60,64,105,115,119,121,128,164,167,171,173,309,387,
396,672],[1,2,3,8,9,11,12,13,15,16,28,34,36,39,41,43,57,59,65,106,114,118,120,
129,165,166,172,174,310,388,395,673],[1,2,3,6,8,9,10,12,13,14,15,27,29,33,35,
36,38,40,42,58,63,66,111,112,115,117,119,122,125,151,158,163,170,177,178,311,
378,383,393,674],[1,2,3,6,8,9,11,12,13,14,15,28,30,34,35,36,39,41,43,57,63,66,
111,113,114,116,118,123,126,150,159,162,170,176,178,312,377,384,394,675],[1,3,
9,10,11,15,16,28,33,50,53,56,57,59,105,120,139,143,150,154,169,181,191,195,
354,372,407,415,450,676],[1,3,8,10,11,15,16,27,34,49,54,56,58,60,106,121,140,
144,151,155,168,182,190,196,353,373,406,416,451,677],[1,2,3,9,10,11,12,15,16,
28,30,33,47,50,52,53,56,57,59,63,65,105,123,129,142,143,147,152,154,157,165,
169,179,181,184,191,195,333,354,375,409,421,425,448,453,455,678],[1,2,3,8,10,
11,12,15,16,27,29,34,48,49,51,54,56,58,60,63,64,106,122,128,141,144,148,153,
155,156,164,168,180,182,183,190,196,334,353,374,408,422,426,449,452,454,679],[
1,2,3,6,8,9,12,13,15,16,35,36,57,58,59,60,61,62,67,111,124,130,131,132,133,
397,443,680],[1,2,3,8,9,10,12,13,15,16,27,29,36,42,57,59,67,68,70,112,131,135,
137,143,147,159,160,166,382,500,501,681],[1,2,3,8,9,11,12,13,15,16,28,30,36,
43,58,60,67,69,70,113,132,134,136,144,148,158,161,167,381,499,502,682],[1,2,3,
8,9,10,11,12,13,15,16,27,28,30,31,33,36,38,40,43,45,47,50,52,56,57,59,60,61,
63,108,113,115,120,123,130,143,150,154,159,165,179,184,186,191,193,195,198,
313,318,341,344,377,415,418,448,683],[1,2,3,8,9,10,11,12,13,15,16,27,28,29,32,
34,36,39,41,42,45,48,49,51,56,58,59,60,61,63,107,112,114,121,122,130,144,151,
155,158,164,180,183,185,190,194,196,197,314,319,342,343,378,416,417,449,684],[
1,2,3,7,8,9,10,11,12,13,15,16,27,28,30,33,36,37,38,40,43,46,47,48,50,52,57,59,
60,61,63,65,109,113,115,123,129,130,147,157,160,169,179,184,188,191,193,198,
200,202,316,318,336,350,379,421,424,453,685],[1,2,3,7,8,9,10,11,12,13,15,16,
27,28,29,34,36,37,39,41,42,46,47,48,49,51,58,59,60,61,63,64,110,112,114,122,
128,130,148,156,161,168,180,183,187,190,194,197,199,202,317,319,335,349,380,
422,423,452,686],[1,2,3,8,9,10,11,12,13,15,16,27,28,31,33,34,36,38,39,40,41,
49,50,51,53,56,57,58,59,62,65,108,114,115,120,124,129,143,147,150,152,165,166,
169,181,191,192,195,196,197,205,207,320,325,341,363,388,420,425,450,455,687],[
1,2,3,8,9,10,11,12,13,15,16,27,28,32,33,34,36,38,39,40,41,49,50,52,54,56,57,
58,60,62,64,107,114,115,121,124,128,144,148,151,153,164,167,168,182,190,192,
195,196,198,206,208,320,324,342,364,387,419,426,451,454,688],[1,2,3,7,8,9,10,
11,12,13,14,15,16,27,28,29,34,36,37,39,41,42,46,47,48,49,51,55,58,59,60,61,63,
66,110,112,114,122,125,130,149,163,170,175,176,180,183,187,190,194,197,199,
202,203,317,319,357,359,383,427,429,459,689],[1,2,3,7,8,9,10,11,12,13,14,15,
16,27,28,30,33,36,37,38,40,43,46,47,48,50,52,55,57,59,60,61,63,66,109,113,115,
123,126,130,149,162,170,175,177,179,184,188,191,193,198,200,202,204,316,318,
358,360,384,427,428,458,690],[1,2,3,8,9,10,11,12,13,15,16,27,28,29,30,33,36,
38,40,42,43,45,46,47,48,50,52,54,57,58,59,60,61,62,67,112,113,115,124,130,132,
144,148,151,156,158,161,164,167,180,182,184,185,186,187,188,191,193,198,201,
315,318,346,352,362,381,417,419,423,447,457,691],[1,2,3,8,9,10,11,12,13,15,16,
27,28,29,30,34,36,39,41,42,43,45,46,47,48,49,51,53,57,58,59,60,61,62,67,112,
113,114,124,130,131,143,147,150,157,159,160,165,166,179,181,183,185,186,187,
188,190,194,197,201,315,319,345,351,361,382,418,420,424,446,456,692],[1,2,3,8,
9,10,11,12,13,15,16,27,28,30,33,36,38,40,43,50,52,57,59,60,61,63,113,115,123,
130,150,159,184,191,193,198,318,377,485,693],[1,2,3,8,9,10,11,12,13,15,16,27,
28,29,34,36,39,41,42,49,51,58,59,60,61,63,112,114,122,130,151,158,183,190,194,
197,319,378,486,694],[1,2,3,8,9,10,11,12,13,14,16,27,28,29,34,36,39,41,42,49,
51,59,60,61,66,112,114,125,130,163,170,183,190,194,197,319,383,478,695],[1,2,
3,8,9,10,11,12,13,14,16,27,28,30,33,36,38,40,43,50,52,59,60,61,66,113,115,126,
130,162,170,184,191,193,198,318,384,477,696],[1,2,3,7,8,9,11,12,13,14,15,16,
28,30,36,37,43,46,47,48,57,58,60,63,66,67,109,113,123,126,132,158,161,162,167,
170,179,188,200,202,316,381,384,475,483,697],[1,2,3,7,8,9,10,12,13,14,15,16,
27,29,36,37,42,46,47,48,57,58,59,63,66,67,110,112,122,125,131,159,160,163,166,
170,180,187,199,202,317,382,383,476,482,698],[1,2,3,8,9,11,12,13,14,15,16,28,
30,31,36,43,45,47,57,58,60,66,67,108,113,120,126,132,158,161,162,167,170,179,
186,313,381,384,471,492,699],[1,2,3,8,9,10,12,13,14,15,16,27,29,32,36,42,45,
48,57,58,59,66,67,107,112,121,125,131,159,160,163,166,170,180,185,314,382,383,
472,491,700],[1,2,3,7,8,9,11,12,13,15,16,28,30,36,37,43,46,47,48,57,58,59,60,
63,65,67,109,113,123,129,132,157,158,160,161,167,179,188,200,202,316,379,381,
474,484,701],[1,2,3,7,8,9,10,12,13,15,16,27,29,36,37,42,46,47,48,57,58,59,60,
63,64,67,110,112,122,128,131,156,159,160,161,166,180,187,199,202,317,380,382,
473,484,702],[1,2,3,8,9,10,11,12,13,16,27,28,30,33,36,38,40,43,50,52,59,60,61,
64,113,115,128,130,171,173,184,191,193,198,318,396,481,487,703],[1,2,3,8,9,10,
11,12,13,16,27,28,29,34,36,39,41,42,49,51,59,60,61,65,112,114,129,130,172,174,
183,190,194,197,319,395,480,488,704],[1,2,3,8,9,10,11,12,13,14,16,27,28,29,34,
36,39,41,42,49,51,59,60,61,64,66,112,114,125,128,130,156,161,163,170,183,190,
194,197,319,380,383,493,705],[1,2,3,8,9,10,11,12,13,14,16,27,28,30,33,36,38,
40,43,50,52,59,60,61,65,66,113,115,126,129,130,157,160,162,170,184,191,193,
198,318,379,384,494,706],[1,2,3,7,8,9,10,12,13,15,16,27,29,36,37,42,46,47,48,
57,58,59,63,67,110,112,122,131,151,158,159,160,166,180,187,199,202,317,378,
382,474,479,707],[1,2,3,7,8,9,11,12,13,15,16,28,30,36,37,43,46,47,48,57,58,60,
63,67,109,113,123,132,150,158,159,161,167,179,188,200,202,316,377,381,473,479,
708],[1,2,3,8,9,10,11,12,13,15,16,27,28,33,34,36,38,39,40,41,56,57,58,59,62,
65,114,115,124,129,172,174,192,195,196,320,395,498,709],[1,2,3,8,9,10,11,12,
13,15,16,27,28,33,34,36,38,39,40,41,56,57,58,60,62,64,114,115,124,128,171,173,
192,195,196,320,396,497,710],[1,2,3,8,9,10,11,12,13,14,15,16,27,28,29,30,36,
42,43,45,46,47,48,57,58,59,62,65,66,112,113,124,126,129,157,160,162,170,185,
186,187,188,201,315,379,384,472,476,711],[1,2,3,8,9,10,11,12,13,14,15,16,27,
28,29,30,36,42,43,45,46,47,48,57,58,60,62,64,66,112,113,124,125,128,156,161,
163,170,185,186,187,188,201,315,380,383,471,475,712],[1,2,3,8,9,10,11,12,13,
14,15,27,28,29,30,36,42,43,45,46,47,48,57,58,62,63,66,112,113,123,124,126,150,
159,162,170,185,186,187,188,201,315,377,384,482,491,713],[1,2,3,8,9,10,11,12,
13,14,15,27,28,29,30,36,42,43,45,46,47,48,57,58,62,63,66,112,113,122,124,125,
151,158,163,170,185,186,187,188,201,315,378,383,483,492,714],[1,2,3,8,9,10,12,
13,15,16,27,32,33,36,38,40,50,52,54,57,59,60,64,67,107,115,128,131,152,154,
169,171,173,182,198,206,208,324,385,396,490,496,715],[1,2,3,8,9,11,12,13,15,
16,28,31,34,36,39,41,49,51,53,58,59,60,65,67,108,114,129,132,153,155,168,172,
174,181,197,205,207,325,386,395,489,495,716],[1,2,3,6,8,9,10,12,13,15,16,27,
29,33,35,36,38,40,42,57,58,59,60,61,62,67,111,112,115,117,119,124,130,131,132,
133,152,154,159,160,166,169,311,382,385,389,392,397,717],[1,2,3,6,8,9,11,12,
13,15,16,28,30,34,35,36,39,41,43,57,58,59,60,61,62,67,111,113,114,116,118,124,
130,131,132,133,153,155,158,161,167,168,312,381,386,390,391,397,718],[1,2,3,8,
9,10,11,12,13,15,16,27,28,29,30,36,42,43,45,46,47,48,57,58,60,62,63,64,67,112,
113,122,124,128,132,141,144,151,156,158,161,167,185,186,187,188,201,315,378,
380,381,411,462,466,719],[1,2,3,8,9,10,11,12,13,15,16,27,28,29,30,36,42,43,45,
46,47,48,57,58,59,62,63,65,67,112,113,123,124,129,131,142,143,150,157,159,160,
166,185,186,187,188,201,315,377,379,382,410,461,465,720],[1,2,3,8,9,10,11,12,
13,14,15,27,28,29,30,36,42,43,45,46,47,48,57,58,62,66,112,113,124,125,126,145,
146,162,163,170,185,186,187,188,201,315,383,384,414,469,721],[1,2,3,8,9,10,11,
12,13,15,16,27,28,30,33,36,38,40,43,50,52,58,59,60,61,64,67,113,115,121,128,
130,132,140,141,148,158,161,164,167,184,191,193,198,318,381,387,413,464,468,
722],[1,2,3,8,9,10,11,12,13,15,16,27,28,29,34,36,39,41,42,49,51,57,59,60,61,
65,67,112,114,120,129,130,131,139,142,147,159,160,165,166,183,190,194,197,319,
382,388,412,463,467,723],[1,2,3,6,8,9,10,11,12,13,15,16,27,28,29,30,33,34,35,
36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,56,57,58,59,60,61,62,67,111,112,
113,114,115,116,117,118,119,124,130,131,132,133,183,184,185,186,187,188,190,
191,192,193,194,195,196,197,198,201,210,211,212,213,311,312,315,318,319,320,
326,327,328,329,330,397,724],[1,3,9,10,11,15,16,28,31,32,33,50,54,56,57,59,64,
69,108,150,165,191,195,206,217,341,399,485,725],[1,3,8,10,11,15,16,27,31,32,
34,49,53,56,58,60,65,68,107,151,164,190,196,205,218,342,400,486,726],[1,2,3,8,
9,10,11,12,13,16,28,32,33,36,38,40,42,49,50,51,52,54,59,64,69,119,152,160,171,
173,191,197,206,208,217,339,371,399,487,490,727],[1,2,3,8,9,10,11,12,13,16,27,
31,34,36,39,41,43,49,50,51,52,53,60,65,68,118,153,161,172,174,190,198,205,207,
218,340,370,400,488,489,728],[1,2,3,7,8,9,10,12,13,14,15,16,27,29,30,33,36,37,
38,40,46,47,48,52,55,57,58,59,62,63,66,70,115,151,158,160,169,170,177,180,184,
187,188,189,199,200,202,204,214,215,216,350,352,358,401,474,476,483,729],[1,2,
3,7,8,9,11,12,13,14,15,16,28,29,30,34,36,37,39,41,46,47,48,51,55,57,58,60,62,
63,66,70,114,150,159,161,168,170,176,179,183,187,188,189,199,200,202,203,214,
215,216,349,351,357,401,473,475,482,730],[1,3,9,10,11,15,16,28,32,33,50,54,56,
57,59,64,69,105,154,169,173,191,195,206,217,354,356,399,487,496,731],[1,3,8,
10,11,15,16,27,31,34,49,53,56,58,60,65,68,106,155,168,174,190,196,205,218,353,
355,400,488,495,732],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,27,28,35,36,37,44,45,
47,48,49,50,51,52,55,57,58,59,60,63,66,70,111,160,161,166,167,170,178,185,186,
197,198,202,209,219,337,338,365,398,471,472,484,733],[1,2,3,6,7,8,9,11,12,13,
14,15,16,28,29,30,35,36,37,44,45,46,47,48,49,51,55,57,58,59,62,63,66,70,111,
158,160,166,170,178,179,186,187,197,200,201,202,209,215,219,331,338,365,405,
474,476,492,734],[1,2,3,6,7,8,9,10,12,13,14,15,16,27,29,30,35,36,37,44,45,46,
47,48,50,52,55,57,58,60,62,63,66,70,111,159,161,167,170,178,180,185,188,198,
199,201,202,209,216,219,332,337,365,404,473,475,491,735],[1,2,3,7,8,9,10,12,
13,14,15,16,27,29,30,33,36,37,38,40,45,46,47,48,52,54,55,57,58,59,60,62,63,66,
70,115,160,161,164,169,170,177,180,182,184,185,188,199,201,202,204,216,219,
346,350,358,404,472,475,484,736],[1,2,3,7,8,9,11,12,13,14,15,16,28,29,30,34,
36,37,39,41,45,46,47,48,51,53,55,57,58,59,60,62,63,66,70,114,160,161,165,168,
170,176,179,181,183,186,187,200,201,202,203,215,219,345,349,357,405,471,476,
484,737],[1,2,3,7,8,9,10,11,12,13,14,15,16,27,28,34,36,37,39,41,45,47,48,53,
55,56,57,58,59,63,66,70,114,155,158,160,165,170,176,181,185,186,196,202,203,
219,343,345,357,398,472,474,492,738],[1,2,3,7,8,9,10,11,12,13,14,15,16,27,28,
33,36,37,38,40,45,47,48,54,55,56,57,58,60,63,66,70,115,154,159,161,164,170,
177,182,185,186,195,202,204,219,344,346,358,398,471,473,491,739],[1,2,3,8,9,
11,12,13,15,16,29,31,34,36,39,41,43,46,47,49,51,53,58,60,61,65,68,118,155,167,
172,174,183,187,194,205,207,218,221,347,370,402,480,495,740],[1,2,3,8,9,10,12,
13,15,16,30,32,33,36,38,40,42,46,48,50,52,54,57,59,61,64,69,119,154,166,171,
173,184,188,193,206,208,217,220,348,371,403,481,496,741],[1,2,3,7,9,10,12,13,
14,16,30,32,33,37,38,50,52,54,55,59,61,64,66,69,109,157,162,175,184,193,204,
206,208,217,220,336,360,403,477,494,742],[1,2,3,7,8,11,12,13,14,16,29,31,34,
37,39,49,51,53,55,60,61,65,66,68,110,156,163,175,183,194,203,205,207,218,221,
335,359,402,478,493,743],[1,2,3,8,11,12,13,16,29,31,34,39,49,51,53,60,61,65,
68,106,153,174,183,194,205,207,218,221,334,355,402,480,489,744],[1,2,3,9,10,
12,13,16,30,32,33,38,50,52,54,59,61,64,69,105,152,173,184,193,206,208,217,220,
333,356,403,481,490,745],[1,2,3,7,8,9,10,11,12,13,14,15,27,28,29,30,34,36,37,
39,41,45,46,47,48,55,56,57,58,62,63,66,70,114,150,155,158,159,170,176,179,180,
185,188,196,199,201,202,203,216,219,343,351,357,404,479,483,491,746],[1,2,3,7,
8,9,10,11,12,13,14,15,27,28,29,30,33,36,37,38,40,45,46,47,48,55,56,57,58,62,
63,66,70,115,151,154,158,159,170,177,179,180,186,187,195,200,201,202,204,215,
219,344,352,358,405,479,482,492,747],[1,2,3,6,7,8,9,12,13,14,15,29,30,35,36,
37,44,46,47,48,55,57,58,62,63,66,70,111,158,159,170,178,187,188,189,199,200,
202,209,214,215,216,331,332,365,401,479,482,483,748],[1,2,3,7,8,9,10,11,12,13,
15,27,28,29,30,36,37,45,46,47,48,57,58,62,63,70,120,121,122,123,124,127,136,
137,138,179,180,185,186,187,188,189,199,200,201,202,214,215,216,219,398,401,
404,405,437,438,441,442,444,749],[1,3,8,10,11,15,16,27,31,34,49,53,58,60,65,
68,121,144,151,155,190,205,218,400,416,486,750],[1,3,9,10,11,15,16,28,32,33,
50,54,57,59,64,69,120,143,150,154,191,206,217,399,415,485,751],[1,2,3,7,8,9,
10,12,13,14,15,16,27,29,30,36,37,45,46,47,48,57,58,59,60,61,62,63,66,70,130,
144,147,149,157,158,160,164,170,175,180,185,188,199,201,202,216,219,404,417,
424,427,472,474,483,752],[1,2,3,7,8,9,11,12,13,14,15,16,28,29,30,36,37,45,46,
47,48,57,58,59,60,61,62,63,66,70,130,143,148,149,156,159,161,165,170,175,179,
186,187,200,201,202,215,219,405,418,423,427,471,473,482,753],[1,2,3,7,8,9,12,
13,14,15,16,29,30,36,37,46,47,48,57,58,59,60,61,62,63,66,70,130,147,148,149,
156,157,160,161,170,175,187,188,189,199,200,202,214,215,216,401,423,424,427,
475,476,484,754],[1,2,3,7,8,9,10,11,12,13,14,15,16,27,28,36,37,45,47,48,57,58,
59,60,61,63,66,70,130,143,144,149,158,159,164,165,170,175,185,186,202,219,398,
417,418,427,479,491,492,755],[1,2,3,8,11,12,13,14,15,16,29,31,34,39,49,51,53,
58,60,61,63,65,66,68,122,148,149,156,163,168,176,183,194,205,207,218,221,402,
422,429,478,493,756],[1,2,3,9,10,12,13,14,15,16,30,32,33,38,50,52,54,57,59,61,
63,64,66,69,123,147,149,157,162,169,177,184,193,206,208,217,220,403,421,428,
477,494,757],[1,2,3,8,9,10,11,12,13,15,16,27,34,36,39,41,43,49,50,52,57,58,60,
62,67,69,118,121,124,132,134,141,144,148,151,153,155,158,161,164,167,168,190,
198,340,390,408,411,416,419,432,464,502,758],[1,2,3,8,9,10,11,12,13,15,16,28,
33,36,38,40,42,49,50,51,57,58,59,62,67,68,119,120,124,131,135,142,143,147,150,
152,154,159,160,165,166,169,191,197,339,389,409,410,415,420,433,463,501,759],[
1,2,3,8,9,10,11,12,13,15,16,27,34,36,39,41,43,45,48,50,52,56,57,58,59,60,61,
62,64,67,70,118,124,128,130,132,136,140,141,144,148,151,153,155,158,161,164,
167,168,185,196,198,367,390,391,406,408,411,413,417,419,426,434,466,468,499,
760],[1,2,3,8,9,10,11,12,13,15,16,28,33,36,38,40,42,45,47,49,51,56,57,58,59,
60,61,62,65,67,70,119,124,129,130,131,137,139,142,143,147,150,152,154,159,160,
165,166,169,186,195,197,366,389,392,407,409,410,412,418,420,425,435,465,467,
500,761],[1,2,3,8,9,11,12,13,15,16,29,34,36,39,41,43,46,47,51,58,59,60,61,63,
67,69,118,122,130,132,134,140,141,144,148,153,155,156,161,167,168,183,187,347,
391,408,413,422,423,430,462,502,762],[1,2,3,8,9,10,12,13,15,16,30,33,36,38,40,
42,46,48,52,57,59,60,61,63,67,68,119,123,130,131,135,139,142,143,147,152,154,
157,160,166,169,184,188,348,392,409,412,421,424,431,461,501,763],[1,2,3,8,9,
10,12,13,14,15,16,27,29,36,42,57,58,59,63,66,67,112,122,125,131,151,158,159,
160,163,166,170,378,382,383,764],[1,2,3,8,9,11,12,13,14,15,16,28,30,36,43,57,
58,60,63,66,67,113,123,126,132,150,158,159,161,162,167,170,377,381,384,765],[
1,2,3,8,9,10,12,13,14,15,16,27,29,36,42,57,59,60,64,66,67,112,125,128,131,156,
159,160,161,163,166,170,380,382,383,766],[1,2,3,8,9,11,12,13,14,15,16,28,30,
36,43,58,59,60,65,66,67,113,126,129,132,157,158,160,161,162,167,170,379,381,
384,767],[1,2,3,8,9,10,12,13,15,16,27,29,36,42,57,58,59,60,63,64,67,112,122,
128,131,151,156,158,159,160,161,166,378,380,382,768],[1,2,3,8,9,11,12,13,15,
16,28,30,36,43,57,58,59,60,63,65,67,113,123,129,132,150,157,158,159,160,161,
167,377,379,381,769],[1,2,3,8,9,10,12,13,14,15,16,27,29,36,42,57,59,66,67,112,
125,131,159,160,163,166,170,382,383,770],[1,2,3,8,9,11,12,13,14,15,16,28,30,
36,43,58,60,66,67,113,126,132,158,161,162,167,170,381,384,771],[1,2,3,8,9,11,
12,13,15,16,28,34,36,39,41,57,58,59,60,65,67,114,120,129,132,153,155,165,166,
168,172,174,386,388,395,772],[1,2,3,8,9,10,12,13,15,16,27,33,36,38,40,57,58,
59,60,64,67,115,121,128,131,152,154,164,167,169,171,173,385,387,396,773],[1,2,
3,8,9,10,11,12,13,15,16,27,28,29,34,36,39,41,42,48,49,50,51,52,54,56,58,59,60,
61,64,69,112,114,128,130,134,140,141,148,153,156,164,167,168,180,182,183,190,
194,196,197,198,217,220,319,362,364,373,374,413,430,432,440,452,454,774],[1,2,
3,8,9,10,11,12,13,15,16,27,28,30,33,36,38,40,43,47,49,50,51,52,53,56,57,59,60,
61,65,68,113,115,129,130,135,139,142,147,152,157,165,166,169,179,181,184,191,
193,195,197,198,218,221,318,361,363,372,375,412,431,433,439,453,455,775],[1,2,
3,8,9,10,11,12,13,15,16,27,28,30,33,34,36,38,39,40,41,45,46,47,48,52,53,56,57,
58,59,62,63,70,114,115,120,123,124,137,142,143,150,154,159,160,165,169,179,
181,184,186,188,192,195,196,215,219,320,344,345,350,351,375,410,435,437,448,
450,776],[1,2,3,8,9,10,11,12,13,15,16,27,28,29,33,34,36,38,39,40,41,45,46,47,
48,51,54,56,57,58,60,62,63,70,114,115,121,122,124,136,141,144,151,155,158,161,
164,168,180,182,183,185,187,192,195,196,216,219,320,343,346,349,352,374,411,
434,438,449,451,777],[1,2,3,7,8,9,10,11,12,13,14,15,27,28,33,34,36,37,38,39,
40,41,46,47,48,55,56,57,58,62,63,66,70,114,115,124,127,138,145,146,170,176,
177,189,192,195,196,202,203,204,215,216,320,357,358,376,414,436,441,460,778],[
1,2,3,8,9,10,11,12,13,16,27,28,29,34,36,39,41,42,49,51,59,60,61,71,112,114,
130,183,190,194,197,222,223,224,319,505,506,508,779],[1,2,3,8,9,10,11,12,13,
16,27,28,30,33,36,38,40,43,50,52,59,60,61,71,113,115,130,184,191,193,198,222,
223,224,318,504,507,508,780],[1,2,3,8,9,10,11,12,13,15,16,27,32,33,34,36,38,
39,40,41,43,45,48,49,50,52,54,56,58,60,64,67,107,115,118,128,132,140,148,151,
153,161,164,182,185,190,196,198,206,208,210,212,324,326,340,342,346,373,447,
454,468,781],[1,2,3,8,9,10,11,12,13,15,16,28,31,33,34,36,38,39,40,41,42,45,47,
49,50,51,53,56,57,59,65,67,108,114,119,129,131,139,147,150,152,160,165,181,
186,191,195,197,205,207,211,212,325,327,339,341,345,372,446,455,467,782],[1,2,
3,7,8,9,10,11,12,13,15,16,28,30,33,36,37,38,40,42,43,46,47,48,49,51,52,53,56,
57,59,63,67,109,113,119,123,131,142,143,154,157,165,166,179,181,184,188,195,
197,200,202,210,213,316,328,336,348,361,375,448,456,461,783],[1,2,3,7,8,9,10,
11,12,13,15,16,27,29,34,36,37,39,41,42,43,46,47,48,50,51,52,54,56,58,60,63,67,
110,112,118,122,132,141,144,155,156,164,167,180,182,183,187,196,198,199,202,
211,213,317,329,335,347,362,374,449,457,462,784],[1,2,3,8,9,10,11,12,13,15,16,
28,30,31,33,34,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,56,57,59,65,67,
108,113,114,119,120,129,131,142,143,147,150,157,159,165,166,169,179,181,184,
186,188,191,195,197,205,207,210,211,212,213,313,325,327,328,341,351,361,366,
375,446,450,453,456,463,465,785],[1,2,3,8,9,10,11,12,13,15,16,27,29,32,33,34,
36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,54,56,58,60,64,67,107,112,115,
118,121,128,132,141,144,148,151,156,158,164,167,168,180,182,183,185,187,190,
196,198,206,208,210,211,212,213,314,324,326,329,342,352,362,367,374,447,451,
452,457,464,466,786],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,29,30,35,37,38,39,40,
41,42,43,44,45,46,47,48,49,50,51,52,55,56,61,62,63,66,67,109,110,116,117,125,
126,127,133,145,146,149,162,163,175,176,177,178,189,192,193,194,199,200,201,
203,204,209,210,211,212,213,321,322,323,330,359,360,368,369,376,445,458,459,
460,469,470,787],[1,2,3,6,8,9,10,12,13,15,16,27,29,35,36,45,46,47,48,50,52,57,
58,59,60,61,62,63,67,70,111,121,122,124,130,131,132,133,136,141,144,148,156,
158,161,164,167,180,185,187,198,216,219,331,337,397,411,417,423,438,457,462,
464,499,788],[1,2,3,6,8,9,11,12,13,15,16,28,30,35,36,45,46,47,48,49,51,57,58,
59,60,61,62,63,67,70,111,120,123,124,130,131,132,133,137,142,143,147,157,159,
160,165,166,179,186,188,197,215,219,332,338,397,410,418,424,437,456,461,463,
500,789],[1,2,3,6,8,9,10,12,13,15,16,27,35,36,45,48,50,52,54,57,58,59,60,61,
62,64,67,69,111,124,128,130,131,132,133,134,140,141,144,148,151,161,164,167,
182,185,198,217,220,337,397,413,419,440,447,466,468,502,790],[1,2,3,6,8,9,11,
12,13,15,16,28,35,36,45,47,49,51,53,57,58,59,60,61,62,65,67,68,111,124,129,
130,131,132,133,135,139,142,143,147,150,160,165,166,181,186,197,218,221,338,
397,412,420,439,446,465,467,501,791],[1,2,3,6,7,8,9,12,13,14,15,16,35,36,37,
44,46,47,48,55,57,58,59,60,61,62,63,66,67,70,111,124,127,130,131,132,133,138,
145,146,149,170,175,178,189,202,209,215,216,365,397,414,427,441,445,470,503,
792],[1,2,3,6,8,9,12,13,15,16,35,36,57,58,59,60,61,62,67,71,111,124,130,131,
132,133,222,223,224,397,508,517,793],[1,2,3,8,9,10,11,12,13,15,16,28,30,33,36,
38,40,42,43,46,47,48,49,50,51,52,53,56,57,59,60,61,65,67,68,113,119,129,130,
131,135,139,143,147,152,157,160,165,166,169,179,181,184,188,191,195,197,210,
213,218,221,328,339,361,379,392,424,425,431,439,453,455,456,467,501,794],[1,2,
3,8,9,10,11,12,13,15,16,27,29,34,36,39,41,42,43,46,47,48,49,50,51,52,54,56,58,
59,60,61,64,67,69,112,118,128,130,132,134,140,144,148,153,156,161,164,167,168,
180,182,183,187,190,196,198,211,213,217,220,329,340,362,380,391,423,426,430,
440,452,454,457,468,502,795],[1,2,3,8,9,10,11,12,13,15,16,28,30,33,36,38,40,
42,43,45,46,47,48,49,51,52,53,56,57,58,59,62,63,67,70,113,119,120,123,124,131,
137,142,143,147,150,154,157,159,165,166,169,179,181,184,186,188,195,197,210,
213,215,219,328,361,366,377,389,420,421,435,437,446,448,450,461,463,500,796],[
1,2,3,8,9,10,11,12,13,15,16,27,29,34,36,39,41,42,43,45,46,47,48,50,51,52,54,
56,57,58,60,62,63,67,70,112,118,121,122,124,132,136,141,144,148,151,155,156,
158,164,167,168,180,182,183,185,187,196,198,211,213,216,219,329,362,367,378,
390,419,422,434,438,447,449,451,462,464,499,797],[1,2,3,8,9,10,11,12,13,15,16,
27,33,34,36,38,39,40,41,43,45,48,49,50,52,54,56,58,59,60,61,64,67,69,115,118,
121,128,130,132,134,141,144,148,151,153,158,161,164,167,168,182,185,190,196,
198,210,212,217,220,326,346,367,387,391,417,426,432,440,447,451,454,464,466,
502,798],[1,2,3,8,9,10,11,12,13,15,16,28,33,34,36,38,39,40,41,42,45,47,49,50,
51,53,56,57,59,60,61,65,67,68,114,119,120,129,130,131,135,142,143,147,150,152,
159,160,165,166,169,181,186,191,195,197,211,212,218,221,327,345,366,388,392,
418,425,433,439,446,450,455,463,465,501,799],[1,2,3,8,9,10,11,12,13,15,16,28,
30,33,34,36,38,39,40,41,42,45,46,47,48,49,50,51,52,56,57,58,59,62,63,65,67,70,
114,119,120,123,124,129,131,137,142,143,147,150,154,157,159,165,166,169,179,
184,186,188,191,195,197,211,212,215,219,327,348,351,388,389,415,420,435,437,
448,453,456,461,465,500,800],[1,2,3,8,9,10,11,12,13,15,16,27,29,33,34,36,38,
39,40,41,43,45,46,47,48,49,50,51,52,56,57,58,60,62,63,64,67,70,115,118,121,
122,124,128,132,136,141,144,148,151,155,156,158,164,167,168,180,183,185,187,
190,196,198,210,212,216,219,326,347,352,387,390,416,419,434,438,449,452,457,
462,466,499,801],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,29,30,35,37,38,39,40,41,
42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,61,62,63,66,67,70,116,117,122,
123,125,126,127,133,138,145,146,149,162,163,175,176,177,178,192,193,194,199,
200,201,203,204,209,210,211,212,213,214,215,216,219,330,368,369,393,394,428,
429,436,442,458,459,460,469,470,503,802],[1,2,3,8,9,10,12,13,14,15,16,27,29,
36,45,46,47,48,57,58,59,62,63,66,70,121,122,124,136,142,143,145,146,159,160,
170,180,185,187,216,219,410,414,438,472,476,482,491,803],[1,2,3,8,9,11,12,13,
14,15,16,28,30,36,45,46,47,48,57,58,60,62,63,66,70,120,123,124,137,141,144,
145,146,158,161,170,179,186,188,215,219,411,414,437,471,475,483,492,804],[1,2,
3,7,8,9,12,13,15,16,36,37,46,47,48,57,58,59,60,62,63,70,124,127,138,141,142,
143,144,158,159,160,161,189,202,215,216,410,411,441,473,474,479,484,805],[1,3,
9,10,11,16,28,32,33,50,53,54,59,64,69,71,139,181,191,206,217,223,225,226,372,
399,504,509,515,806],[1,3,8,10,11,16,27,31,34,49,53,54,60,65,68,71,140,182,
190,205,218,224,225,227,373,400,505,510,516,807],[1,2,3,9,10,11,12,13,15,16,
28,30,32,33,38,47,50,52,53,54,56,57,59,61,64,69,71,142,179,181,184,193,195,
206,208,217,220,223,225,226,375,403,507,512,515,808],[1,2,3,8,10,11,12,13,15,
16,27,29,31,34,39,48,49,51,53,54,56,58,60,61,65,68,71,141,180,182,183,194,196,
205,207,218,221,224,225,227,374,402,506,511,516,809],[1,2,3,8,9,10,11,12,13,
15,16,27,28,34,36,39,41,45,48,49,50,52,54,56,58,60,64,67,70,114,121,128,132,
136,141,144,148,151,153,155,158,164,167,168,182,185,190,196,198,343,364,386,
408,416,426,434,447,451,454,464,466,499,810],[1,2,3,8,9,10,11,12,13,15,16,27,
28,33,36,38,40,45,47,49,50,51,53,56,57,59,65,67,70,115,120,129,131,137,142,
143,147,150,152,154,159,165,166,169,181,186,191,195,197,344,363,385,409,415,
425,435,446,450,455,463,465,500,811],[1,2,3,8,9,10,11,12,13,15,16,27,28,30,33,
36,38,40,46,47,48,49,50,51,52,56,57,59,63,65,67,68,115,123,129,131,135,139,
142,143,147,152,154,157,160,165,166,169,179,184,188,191,195,197,350,363,385,
407,409,421,425,431,433,448,453,456,461,467,501,812],[1,2,3,8,9,10,11,12,13,
15,16,27,28,29,34,36,39,41,46,47,48,49,50,51,52,56,58,60,63,64,67,69,114,122,
128,132,134,140,141,144,148,153,155,156,161,164,167,168,180,183,187,190,196,
198,349,364,386,406,408,422,426,430,432,449,452,457,462,468,502,813],[1,2,3,8,
11,12,13,16,29,31,34,39,49,51,53,60,61,65,68,69,71,134,140,153,156,183,194,
205,207,218,221,224,226,228,402,430,506,510,514,814],[1,2,3,9,10,12,13,16,30,
32,33,38,50,52,54,59,61,64,68,69,71,135,139,152,157,184,193,206,208,217,220,
223,227,228,403,431,507,509,513,815],[1,3,9,10,11,15,16,28,32,33,50,54,57,59,
64,68,69,71,135,142,165,169,191,206,217,223,227,228,399,433,504,512,513,816],[
1,3,8,10,11,15,16,27,31,34,49,53,58,60,65,68,69,71,134,141,164,168,190,205,
218,224,226,228,400,432,505,511,514,817],[1,2,3,9,10,12,14,16,30,33,52,59,66,
71,105,152,162,184,223,333,477,507,818],[1,2,3,8,11,12,14,16,29,34,51,60,66,
71,106,153,163,183,224,334,478,506,819],[1,2,3,8,9,10,11,12,13,15,16,27,34,36,
39,41,43,49,50,52,58,60,71,118,151,153,161,190,198,224,340,486,505,820],[1,2,
3,8,9,10,11,12,13,15,16,28,33,36,38,40,42,49,50,51,57,59,71,119,150,152,160,
191,197,223,339,485,504,821],[1,3,8,10,11,15,16,27,34,49,56,58,60,71,106,151,
155,168,190,196,224,353,486,505,822],[1,3,9,10,11,15,16,28,33,50,56,57,59,71,
105,150,154,169,191,195,223,354,485,504,823],[1,2,3,7,8,11,12,16,29,34,37,51,
60,65,71,110,156,174,183,224,335,480,506,824],[1,2,3,7,9,10,12,16,30,33,37,52,
59,64,71,109,157,173,184,223,336,481,507,825],[1,2,3,8,9,10,12,13,14,15,16,30,
33,36,38,40,42,46,48,52,57,59,66,71,119,154,162,166,184,188,223,348,477,507,
826],[1,2,3,8,9,11,12,13,14,15,16,29,34,36,39,41,43,46,47,51,58,60,66,71,118,
155,163,167,183,187,224,347,478,506,827],[1,3,9,10,11,15,16,28,31,33,50,56,57,
59,64,71,108,150,165,173,191,195,223,341,487,504,828],[1,3,8,10,11,15,16,27,
32,34,49,56,58,60,65,71,107,151,164,174,190,196,224,342,488,505,829],[1,2,3,8,
9,11,12,13,15,16,28,36,49,51,53,58,59,60,61,65,68,71,129,130,135,140,141,148,
167,181,197,218,221,222,223,224,413,439,508,510,511,830],[1,2,3,8,9,10,12,13,
15,16,27,36,50,52,54,57,59,60,61,64,69,71,128,130,134,139,142,147,166,182,198,
217,220,222,223,224,412,440,508,509,512,831],[1,3,9,10,11,15,16,28,33,50,57,
59,64,68,135,142,150,165,169,173,191,433,485,487,832],[1,3,8,10,11,15,16,27,
34,49,58,60,65,69,134,141,151,164,168,174,190,432,486,488,833],[1,2,3,9,10,12,
14,16,30,33,52,59,64,66,68,135,139,152,157,162,173,184,431,477,481,834],[1,2,
3,8,11,12,14,16,29,34,51,60,65,66,69,134,140,153,156,163,174,183,430,478,480,
835],[1,2,3,10,11,12,13,14,15,16,38,39,56,62,63,64,65,66,70,138,145,171,172,
176,177,192,436,497,498,836],[1,2,3,8,9,10,11,12,13,16,27,28,36,49,50,51,52,
53,54,59,60,61,64,65,68,69,71,128,129,130,134,135,181,182,197,198,217,218,220,
221,222,223,224,225,226,227,228,439,440,508,513,514,515,516,518,837],[1,3,8,
10,11,15,16,27,34,49,58,60,65,71,121,144,151,155,174,190,224,416,488,505,
838],[1,3,9,10,11,15,16,28,33,50,57,59,64,71,120,143,150,154,173,191,223,415,
487,504,839],[1,2,3,8,11,12,15,16,29,34,51,58,60,63,65,71,122,148,156,168,174,
183,224,422,480,506,840],[1,2,3,9,10,12,15,16,30,33,52,57,59,63,64,71,123,147,
157,169,173,184,223,421,481,507,841],[1,2,3,8,10,11,12,14,15,16,27,29,34,48,
51,54,56,58,60,65,66,141,163,174,180,182,183,196,374,478,480,842],[1,2,3,9,10,
11,12,14,15,16,28,30,33,47,52,53,56,57,59,64,66,142,162,173,179,181,184,195,
375,477,481,843],[1,3,8,10,11,15,16,27,34,49,54,58,60,65,140,151,174,182,190,
373,486,488,844],[1,3,9,10,11,15,16,28,33,50,53,57,59,64,139,150,173,181,191,
372,485,487,845],[1,2,3,7,10,11,12,13,14,15,16,37,38,39,46,55,56,62,64,65,66,
145,171,172,189,192,203,204,376,497,498,846],[1,2,3,8,9,12,13,15,16,36,57,58,
59,60,61,71,130,139,140,141,142,147,148,166,167,222,223,224,412,413,508,847],[
1,2,3,6,7,12,13,14,15,16,35,37,44,46,55,61,62,66,67,71,133,146,175,189,209,
222,443,445,517,848],[1,2,3,6,12,13,14,15,16,35,61,62,63,66,67,70,71,133,138,
146,149,178,222,443,503,517,849],[1,3,16,229,519,850],[1,2,3,4,6,12,13,19,20,
22,35,72,87,92,95,230,231,233,284,520,521,522,851],[1,2,3,4,12,15,19,20,22,62,
72,92,230,231,233,521,529,852],[1,2,3,4,12,16,19,20,22,61,72,92,230,231,233,
521,528,853],[1,2,3,4,13,15,16,20,22,67,72,95,231,233,522,528,529,854],[1,2,4,
6,7,14,19,22,44,72,80,87,91,97,230,261,288,523,855],[1,2,3,4,5,7,13,14,20,21,
22,55,73,77,79,88,95,97,232,257,258,291,525,856],[1,3,4,5,8,11,16,20,21,23,49,
73,81,83,89,93,98,232,267,269,290,526,857],[1,3,4,5,9,10,16,20,21,23,50,73,82,
84,90,94,98,232,266,268,289,527,858],[1,2,3,4,12,14,19,20,22,66,72,92,97,100,
230,231,233,297,521,534,859],[1,2,3,4,7,12,19,20,22,37,72,88,91,92,230,231,
233,234,287,521,530,531,533,860],[1,2,3,4,6,12,13,19,20,22,35,72,80,87,92,95,
234,281,284,523,861],[1,2,3,4,5,8,10,13,18,21,22,23,40,73,81,83,89,94,96,235,
278,286,526,862],[1,2,3,4,5,9,11,13,18,21,22,23,41,73,82,84,90,93,96,235,277,
285,527,863],[1,2,3,4,5,7,12,19,20,22,23,37,73,77,79,88,91,92,236,272,287,525,
864],[1,2,3,4,12,15,19,20,22,46,72,92,231,234,529,531,865],[1,2,3,4,7,13,14,
19,20,22,55,72,88,91,95,97,100,231,233,234,291,299,522,533,534,866],[1,2,4,5,
6,7,14,18,22,44,73,77,79,87,88,100,235,249,296,525,867],[1,2,4,5,6,7,14,18,22,
44,73,78,87,88,100,235,250,296,524,868],[1,2,4,6,7,14,19,22,44,72,80,87,88,
100,234,261,296,523,869],[1,3,4,5,8,9,15,20,23,45,73,82,84,89,90,99,236,251,
295,527,870],[1,3,4,5,8,9,15,20,23,45,73,81,83,89,90,99,236,252,295,526,871],[
1,3,4,16,20,71,72,231,528,872],[1,2,4,6,7,14,19,22,44,72,87,88,91,97,100,233,
234,288,296,520,533,534,873],[1,5,17,301,874],[1,3,8,11,17,34,106,875],[1,3,9,
10,17,33,105,876],[1,2,3,6,12,13,14,15,17,35,63,66,74,75,76,178,237,238,239,
240,241,535,536,537,877],[1,2,4,6,22,25,87,102,242,303,538,878],[1,2,4,7,22,
25,88,102,242,304,538,879],[1,2,5,6,25,78,102,247,303,880],[1,2,5,7,25,77,102,
247,304,881],[1,2,5,6,25,78,102,245,303,882],[1,2,5,7,25,79,102,245,304,883],[
1,2,4,14,22,25,100,102,242,305,538,884],[1,2,3,4,6,8,9,12,13,15,19,30,35,36,
46,48,57,80,81,111,159,188,254,332,546,885],[1,2,3,4,6,8,9,12,13,15,19,29,35,
36,46,47,58,80,82,111,158,187,253,331,545,886],[1,2,3,5,8,11,12,16,18,29,34,
51,60,83,86,106,153,183,255,334,548,887],[1,2,3,5,9,10,12,16,18,30,33,52,59,
84,85,105,152,184,256,333,547,888],[1,2,3,4,6,8,9,11,12,13,15,16,20,28,35,36,
45,47,49,51,57,59,80,81,111,160,166,186,197,252,267,338,546,889],[1,2,3,4,6,8,
9,10,12,13,15,16,20,27,35,36,45,48,50,52,58,60,80,82,111,161,167,185,198,251,
266,337,545,890],[1,3,5,9,10,11,15,16,21,28,33,50,56,57,59,84,85,105,154,169,
191,195,260,263,354,547,891],[1,3,5,8,10,11,15,16,21,27,34,49,56,58,60,83,86,
106,155,168,190,196,259,262,353,548,892],[1,3,4,9,10,16,20,32,33,50,54,64,82,
105,173,206,266,356,543,893],[1,3,4,8,11,16,20,31,34,49,53,65,81,106,174,205,
267,355,544,894],[1,3,5,8,11,16,21,31,34,49,53,65,83,86,106,174,205,264,269,
355,548,895],[1,3,5,9,10,16,21,32,33,50,54,64,84,85,105,173,206,265,268,356,
547,896],[1,2,3,4,6,7,8,9,12,13,14,15,19,35,36,37,44,47,48,55,63,66,80,82,111,
170,178,202,209,253,261,365,545,897],[1,2,3,4,6,7,8,9,12,13,14,15,19,35,36,37,
44,47,48,55,63,66,80,81,111,170,178,202,209,254,261,365,546,898],[1,2,3,5,7,8,
11,12,13,14,16,21,29,37,39,49,51,55,61,66,79,83,110,163,175,194,203,258,269,
359,550,899],[1,2,3,5,7,9,10,12,13,14,16,21,30,37,38,50,52,55,61,66,79,84,109,
162,175,193,204,258,268,360,549,900],[1,3,5,8,10,11,16,23,27,31,34,49,53,60,
65,68,85,86,190,205,218,273,279,294,400,901],[1,3,5,9,10,11,16,23,28,32,33,50,
54,59,64,69,85,86,191,206,217,274,280,293,399,902],[1,2,3,5,7,8,9,10,11,12,13,
15,23,27,28,36,37,45,47,48,57,58,63,70,77,85,86,185,186,202,219,272,273,274,
292,398,903],[1,2,3,4,6,8,9,11,12,13,22,28,30,34,35,36,39,41,43,80,82,111,113,
114,116,118,270,277,281,312,545,904],[1,2,3,4,6,8,9,10,12,13,22,27,29,33,35,
36,38,40,42,80,81,111,112,115,117,119,271,278,281,311,546,905],[1,2,3,5,8,9,
11,12,13,23,28,34,36,39,41,43,83,86,106,114,118,274,276,283,310,548,906],[1,2,
3,5,8,9,10,12,13,23,27,33,36,38,40,42,84,85,105,115,119,273,275,282,309,547,
907],[1,2,3,5,6,7,9,11,12,13,14,18,21,23,30,35,37,39,41,43,44,55,66,77,90,93,
96,109,116,126,203,209,249,257,272,285,322,554,568,575,908],[1,2,3,5,6,7,8,10,
12,13,14,18,21,23,29,35,37,38,40,42,44,55,66,77,89,94,96,110,117,125,204,209,
249,257,272,286,321,553,568,576,909],[1,2,3,4,7,8,9,12,15,19,20,22,29,30,37,
45,46,47,48,62,63,82,88,91,92,109,110,127,189,199,200,201,251,253,270,287,323,
551,566,570,910],[1,2,3,4,7,8,9,12,15,19,20,22,29,30,37,45,46,47,48,62,63,81,
88,91,92,109,110,127,189,199,200,201,252,254,271,287,323,552,567,569,911],[1,
2,3,5,8,9,10,12,13,16,18,21,23,27,32,33,36,38,40,50,52,54,60,64,85,89,94,96,
107,115,128,182,198,206,208,256,260,265,273,280,286,324,562,571,578,583,593,
912],[1,2,3,5,8,9,11,12,13,16,18,21,23,28,31,34,36,39,41,49,51,53,59,65,86,90,
93,96,108,114,129,181,197,205,207,255,259,264,274,279,285,325,563,572,577,582,
592,913],[1,2,3,5,8,9,10,11,12,13,15,16,18,21,23,27,29,34,36,39,41,42,43,46,
47,50,51,52,56,58,60,67,85,90,93,96,112,118,132,183,187,196,198,211,213,256,
260,263,273,275,285,329,561,571,579,590,595,914],[1,2,3,5,8,9,10,11,12,13,15,
16,18,21,23,28,30,33,36,38,40,42,43,46,48,49,51,52,56,57,59,67,86,89,94,96,
113,119,131,184,188,195,197,210,213,255,259,262,274,276,286,328,560,572,580,
591,594,915],[1,2,3,4,6,8,9,10,11,12,13,15,16,19,20,22,29,30,35,38,39,40,41,
42,43,45,46,47,48,49,50,51,52,56,61,62,67,81,87,92,95,116,117,133,192,193,194,
201,210,211,212,213,252,254,267,271,278,284,330,559,569,573,584,587,916],[1,2,
3,4,6,8,9,10,11,12,13,15,16,19,20,22,29,30,35,38,39,40,41,42,43,45,46,47,48,
49,50,51,52,56,61,62,67,82,87,92,95,116,117,133,192,193,194,201,210,211,212,
213,251,253,266,270,277,284,330,558,570,574,585,586,917],[1,2,3,4,6,8,9,12,13,
15,22,29,35,36,46,47,58,80,81,111,158,187,271,331,546,918],[1,2,3,4,6,8,9,12,
13,15,22,30,35,36,46,48,57,80,82,111,159,188,270,332,545,919],[1,3,5,8,11,16,
23,31,34,49,53,65,83,86,106,174,205,279,355,548,920],[1,3,5,9,10,16,23,32,33,
50,54,64,84,85,105,173,206,280,356,547,921],[1,2,3,5,7,9,10,12,16,23,30,33,37,
52,59,79,84,109,157,184,282,336,549,922],[1,2,3,5,7,8,11,12,16,23,29,34,37,51,
60,79,83,110,156,183,283,335,550,923],[1,2,3,4,8,11,12,16,22,29,34,51,60,81,
106,153,183,271,334,544,924],[1,2,3,4,9,10,12,16,22,30,33,52,59,82,105,152,
184,270,333,543,925],[1,2,3,4,6,12,13,15,16,22,35,61,62,67,80,133,281,443,
926],[1,3,5,9,10,11,16,23,28,33,50,53,59,84,139,181,191,282,372,565,927],[1,3,
5,8,10,11,16,23,27,34,49,54,60,83,140,182,190,283,373,564,928],[1,2,3,4,7,8,
11,12,13,14,15,16,19,20,22,29,37,39,46,48,49,51,55,61,63,66,81,91,95,100,125,
149,175,176,194,199,203,254,267,271,299,459,567,573,596,929],[1,2,3,4,7,9,10,
12,13,14,15,16,19,20,22,30,37,38,46,47,50,52,55,61,63,66,82,91,95,100,126,149,
175,177,193,200,204,253,266,270,299,458,566,574,597,930],[1,2,3,5,7,10,11,12,
13,14,15,21,23,37,38,39,55,56,62,63,66,77,93,94,99,127,146,176,177,192,203,
204,257,272,300,460,575,576,598,931],[1,3,5,9,10,11,15,16,21,23,28,33,53,56,
57,59,86,93,94,99,120,143,150,169,181,195,262,264,274,300,450,577,580,600,
932],[1,3,5,8,10,11,15,16,21,23,27,34,54,56,58,60,85,93,94,99,121,144,151,168,
182,196,263,265,273,300,451,578,579,599,933],[1,2,3,4,8,9,12,14,15,19,20,22,
29,30,45,46,47,48,62,66,81,92,97,100,125,126,145,146,162,163,201,252,254,271,
297,469,569,596,601,934],[1,2,3,4,8,9,12,14,15,19,20,22,29,30,45,46,47,48,62,
66,82,92,97,100,125,126,145,146,162,163,201,251,253,270,297,469,570,597,602,
935],[1,2,3,5,8,9,11,12,13,15,16,18,21,23,28,36,49,51,57,59,67,86,96,98,99,
120,131,142,147,159,165,197,255,259,274,298,463,572,600,604,936],[1,2,3,5,8,9,
10,12,13,15,16,18,21,23,27,36,50,52,58,60,67,85,96,98,99,121,132,141,148,158,
164,198,256,260,273,298,464,571,599,603,937],[1,2,3,5,6,7,12,13,14,15,16,18,
21,23,35,37,44,55,61,62,63,66,67,77,96,98,99,127,133,145,149,175,178,209,249,
257,272,298,470,568,598,605,938],[1,2,3,4,7,8,11,12,13,14,16,20,22,29,37,39,
49,51,55,61,66,81,88,95,97,110,163,175,194,203,267,271,291,359,552,573,601,
939],[1,2,3,4,7,9,10,12,13,14,16,20,22,30,37,38,50,52,55,61,66,82,88,95,97,
109,162,175,193,204,266,270,291,360,551,574,602,940],[1,2,3,4,6,7,8,10,12,13,
14,15,19,22,29,35,37,38,40,42,44,46,48,55,63,66,81,87,91,97,117,163,177,178,
199,204,209,254,271,278,288,369,559,567,601,941],[1,2,3,4,6,7,9,11,12,13,14,
15,19,22,30,35,37,39,41,43,44,46,47,55,63,66,82,87,91,97,116,162,176,178,200,
203,209,253,270,277,288,368,558,566,602,942],[1,3,5,8,10,11,15,16,21,23,27,32,
34,49,56,58,60,85,89,93,98,107,151,164,190,196,263,273,280,290,342,562,579,
603,943],[1,3,5,9,10,11,15,16,21,23,28,31,33,50,56,57,59,86,90,94,98,108,150,
165,191,195,262,274,279,289,341,563,580,604,944],[1,2,3,5,7,8,11,12,13,14,16,
21,23,29,37,39,49,51,55,61,66,77,89,93,98,110,163,175,194,203,257,272,290,359,
553,575,605,945],[1,2,3,5,7,9,10,12,13,14,16,21,23,30,37,38,50,52,55,61,66,77,
90,94,98,109,162,175,193,204,257,272,289,360,554,576,605,946],[1,2,3,5,8,9,11,
12,13,15,16,21,23,28,30,36,43,47,49,51,53,57,59,86,89,93,98,113,157,165,166,
179,181,197,264,274,276,290,361,560,577,604,947],[1,2,3,5,8,9,10,12,13,15,16,
21,23,27,29,36,42,48,50,52,54,58,60,85,90,94,98,112,156,164,167,180,182,198,
265,273,275,289,362,561,578,603,948],[1,2,3,4,6,7,8,9,12,13,14,15,19,22,35,36,
37,44,47,48,55,63,66,80,87,91,97,111,170,178,202,209,261,281,288,365,557,581,
608,949],[1,3,5,8,11,16,21,23,31,34,49,53,65,83,89,93,98,106,174,205,269,283,
290,355,556,589,607,950],[1,3,5,9,10,16,21,23,32,33,50,54,64,84,90,94,98,105,
173,206,268,282,289,356,555,588,606,951],[1,2,3,4,6,7,9,11,12,13,14,22,30,35,
37,39,41,43,44,55,66,82,87,88,100,109,116,126,203,209,270,277,296,322,551,558,
597,952],[1,2,3,4,6,7,8,10,12,13,14,22,29,35,37,38,40,42,44,55,66,81,87,88,
100,110,117,125,204,209,271,278,296,321,552,559,596,953],[1,2,3,5,7,8,9,12,15,
23,29,30,37,45,46,47,48,62,63,77,89,90,99,109,110,127,189,199,200,201,272,295,
323,553,554,598,954],[1,2,3,5,8,9,11,12,13,15,23,28,30,31,36,43,45,47,57,86,
89,90,99,108,113,120,179,186,274,276,279,295,313,560,563,600,955],[1,2,3,5,8,
9,10,12,13,15,23,27,29,32,36,42,45,48,58,85,89,90,99,107,112,121,180,185,273,
275,280,295,314,561,562,599,956],[1,3,5,8,11,15,16,23,34,58,60,83,140,144,168,
283,406,564,957],[1,3,5,9,10,15,16,23,33,57,59,84,139,143,169,282,407,565,
958],[1,3,5,9,10,16,21,50,54,59,64,69,71,84,139,217,223,268,509,565,959],[1,3,
5,8,11,16,21,49,53,60,65,68,71,83,140,218,224,269,510,564,960],[1,3,5,8,11,16,
21,23,49,53,60,65,68,69,71,89,93,98,134,218,224,226,228,290,293,514,610,614,
616,961],[1,3,5,9,10,16,21,23,50,54,59,64,68,69,71,90,94,98,135,217,223,227,
228,289,294,513,609,613,615,962],[1,2,3,5,8,9,12,15,23,45,46,47,48,57,58,62,
63,70,89,90,99,136,137,138,214,215,216,219,292,295,444,611,612,617,963],[1,3,
24,101,620,964],[1,3,24,26,101,103,622,965],[1,3,15,17,75,239,301,623,966],[1,
2,3,12,17,74,75,76,240,301,623,624,967],[1,3,15,17,75,239,301,623,968],[1,2,4,
5,6,22,72,73,78,80,87,233,302,520,523,524,969],[1,2,4,5,14,18,19,22,72,73,100,
234,235,302,625,970],[1,2,4,5,7,18,19,22,72,73,91,230,234,235,302,530,625,627,
971],[1,2,3,4,5,13,18,19,20,21,22,23,72,73,95,96,232,234,235,236,302,532,625,
626,972],[1,3,8,10,26,27,32,103,107,629,973],[1,3,9,11,26,28,31,103,108,628,
974],[1,2,4,6,7,14,17,19,22,44,74,80,91,238,261,631,975],[1,2,3,4,8,12,15,17,
19,20,22,48,75,81,92,239,254,633,976],[1,2,3,4,9,12,15,17,19,20,22,47,75,82,
92,239,253,632,977],[1,2,3,5,7,13,14,17,18,21,23,55,74,79,96,238,258,634,
978],[1,2,3,4,6,12,13,17,19,20,22,35,74,75,76,80,92,240,281,631,979],[1,2,3,4,
9,12,17,19,20,22,30,74,75,76,82,92,240,270,632,980],[1,2,3,4,8,12,17,19,20,22,
29,74,75,76,81,92,240,271,633,981],[1,2,3,4,9,11,13,17,20,22,41,75,76,82,95,
241,277,632,982],[1,2,3,4,8,10,13,17,20,22,40,75,76,81,95,241,278,633,983],[1,
2,3,4,6,12,13,17,22,35,74,75,76,80,104,237,240,241,281,307,535,635,984],[1,2,
3,4,12,14,17,19,20,22,66,74,75,76,92,97,100,104,238,240,297,306,307,308,537,
636,637,638,985],[1,2,4,5,18,22,25,73,102,235,242,245,247,538,540,639,986],[1,
3,4,5,20,23,24,73,101,236,243,244,248,541,542,640,987],[1,2,3,7,8,9,10,11,12,
13,15,27,28,29,30,31,32,36,37,42,43,45,46,47,48,57,58,62,63,70,107,108,109,
110,112,113,120,121,122,123,124,127,136,137,138,179,180,185,186,187,188,189,
199,200,201,202,214,215,216,219,313,314,315,316,317,323,398,401,404,405,437,
438,441,442,444,663,664,667,749,988],[1,2,3,6,8,9,10,11,12,13,15,16,27,28,29,
30,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,56,57,58,59,60,61,62,
67,105,111,112,113,114,115,116,117,118,119,124,130,131,132,133,152,154,159,
160,166,169,183,184,185,186,187,188,190,191,192,193,194,195,196,197,198,201,
210,211,212,213,309,311,312,315,318,319,320,326,327,328,329,330,332,333,338,
339,344,348,350,354,363,366,382,385,389,392,397,641,655,657,660,662,717,724,
989],[1,2,3,6,8,9,10,11,12,13,15,16,27,28,29,30,33,34,35,36,38,39,40,41,42,43,
45,46,47,48,49,50,51,52,56,57,58,59,60,61,62,67,106,111,112,113,114,115,116,
117,118,119,124,130,131,132,133,153,155,158,161,167,168,183,184,185,186,187,
188,190,191,192,193,194,195,196,197,198,201,210,211,212,213,310,311,312,315,
318,319,320,326,327,328,329,330,331,334,337,340,343,347,349,353,364,367,381,
386,390,391,397,642,656,658,659,661,718,724,990],[1,2,3,6,8,9,11,12,13,15,16,
28,30,31,34,35,36,39,41,43,45,47,49,51,53,57,59,65,106,108,111,113,114,116,
118,120,129,157,160,165,166,172,174,179,181,186,197,205,207,310,312,313,325,
338,345,355,361,370,379,388,395,642,649,652,671,673,991],[1,2,3,6,8,9,10,12,
13,15,16,27,29,32,33,35,36,38,40,42,45,48,50,52,54,58,60,64,105,107,111,112,
115,117,119,121,128,156,161,164,167,171,173,180,182,185,198,206,208,309,311,
314,324,337,346,356,362,371,380,387,396,641,650,651,670,672,992],[1,2,3,6,7,8,
9,10,12,13,14,15,27,29,33,35,36,37,38,40,42,44,46,47,48,55,58,63,66,105,110,
111,112,115,117,119,122,125,151,158,163,170,177,178,180,187,199,202,204,209,
309,311,317,321,331,352,358,365,369,378,383,393,641,648,654,668,674,993],[1,2,
3,6,7,8,9,11,12,13,14,15,28,30,34,35,36,37,39,41,43,44,46,47,48,55,57,63,66,
106,109,111,113,114,116,118,123,126,150,159,162,170,176,178,179,188,200,202,
203,209,310,312,316,322,332,351,357,365,368,377,384,394,642,647,653,669,675,
994],[1,2,3,8,9,10,11,12,13,15,16,27,28,30,31,32,33,36,38,40,43,45,47,50,52,
54,56,57,59,60,61,63,64,69,107,108,113,115,120,123,128,130,134,143,150,154,
159,165,179,182,184,186,191,193,195,198,206,208,217,220,313,318,324,341,344,
377,399,403,415,418,440,448,485,666,683,693,725,751,995],[1,2,3,8,9,10,11,12,
13,15,16,27,28,29,31,32,34,36,39,41,42,45,48,49,51,53,56,58,59,60,61,63,65,68,
107,108,112,114,121,122,129,130,135,144,151,155,158,164,180,181,183,185,190,
194,196,197,205,207,218,221,314,319,325,342,343,378,400,402,416,417,439,449,
486,665,684,694,726,750,996],[1,2,3,7,8,9,10,11,12,13,14,15,16,27,28,29,31,34,
36,37,39,41,42,46,47,48,49,51,53,55,58,59,60,61,63,64,65,66,68,108,110,112,
114,122,125,128,129,130,135,148,149,156,161,163,168,170,175,176,180,181,183,
187,190,194,197,199,202,203,205,207,218,221,317,319,325,335,349,357,359,380,
383,400,402,422,423,427,429,439,452,459,478,493,665,686,689,695,705,743,756,
997],[1,2,3,7,8,9,10,11,12,13,14,15,16,27,28,30,32,33,36,37,38,40,43,46,47,48,
50,52,54,55,57,59,60,61,63,64,65,66,69,107,109,113,115,123,126,128,129,130,
134,147,149,157,160,162,169,170,175,177,179,182,184,188,191,193,198,200,202,
204,206,208,217,220,316,318,324,336,350,358,360,379,384,399,403,421,424,427,
428,440,453,458,477,494,666,685,690,696,706,742,757,998],[1,2,3,7,8,9,10,11,
12,13,14,15,16,27,28,29,30,31,33,36,37,38,40,42,43,45,46,47,48,50,52,54,55,56,
57,58,59,60,61,62,63,66,67,70,108,109,112,113,115,120,123,124,126,130,132,137,
143,144,148,149,150,151,154,156,158,159,161,162,164,165,167,170,175,177,179,
180,182,184,185,186,187,188,191,193,195,198,200,201,202,204,215,219,313,315,
316,318,341,344,346,352,358,360,362,377,381,384,398,405,415,417,418,419,423,
427,428,437,447,448,457,458,471,473,479,482,491,492,664,683,690,691,699,708,
713,739,747,753,755,999],[1,2,3,7,8,9,10,11,12,13,14,15,16,27,28,29,30,32,34,
36,37,39,41,42,43,45,46,47,48,49,51,53,55,56,57,58,59,60,61,62,63,66,67,70,
107,110,112,113,114,121,122,124,125,130,131,136,143,144,147,149,150,151,155,
157,158,159,160,163,164,165,166,170,175,176,179,180,181,183,185,186,187,188,
190,194,196,197,199,201,202,203,216,219,314,315,317,319,342,343,345,351,357,
359,361,378,382,383,398,404,416,417,418,420,424,427,429,438,446,449,456,459,
472,474,479,483,491,492,663,684,689,692,700,707,714,738,746,752,755,1000],[1,
2,3,7,8,9,10,11,12,13,14,15,16,27,28,29,30,34,36,37,39,41,42,43,45,46,47,48,
49,51,53,55,57,58,59,60,61,62,63,64,66,67,70,109,110,112,113,114,122,123,124,
125,127,128,130,131,138,143,147,148,149,150,156,157,159,160,161,163,165,166,
168,170,175,176,179,180,181,183,185,186,187,188,189,190,194,197,199,200,201,
202,203,214,215,216,219,315,316,317,319,323,335,345,349,351,357,359,361,380,
382,383,401,404,405,418,420,422,423,424,427,429,441,442,446,452,456,459,471,
473,475,476,482,484,667,686,689,692,698,702,712,730,737,753,754,1001],[1,2,3,
7,8,9,10,11,12,13,14,15,16,27,28,29,30,33,36,37,38,40,42,43,45,46,47,48,50,52,
54,55,57,58,59,60,61,62,63,65,66,67,70,109,110,112,113,115,122,123,124,126,
127,129,130,132,138,144,147,148,149,151,156,157,158,160,161,162,164,167,169,
170,175,177,179,180,182,184,185,186,187,188,189,191,193,198,199,200,201,202,
204,214,215,216,219,315,316,317,318,323,336,346,350,352,358,360,362,379,381,
384,401,404,405,417,419,421,423,424,427,428,441,442,447,453,457,458,472,474,
475,476,483,484,667,685,690,691,697,701,711,729,736,752,754,1002],[1,2,3,8,9,
10,12,13,14,15,16,27,29,32,36,42,45,48,57,58,59,66,67,68,70,107,112,121,125,
131,135,137,143,147,159,160,163,166,170,180,185,314,382,383,472,491,500,501,
681,700,770,1003],[1,2,3,8,9,11,12,13,14,15,16,28,30,31,36,43,45,47,57,58,60,
66,67,69,70,108,113,120,126,132,134,136,144,148,158,161,162,167,170,179,186,
313,381,384,471,492,499,502,682,699,771,1004],[1,2,3,7,8,9,10,12,13,14,15,16,
27,29,36,37,42,46,47,48,57,58,59,60,63,64,66,67,68,70,110,112,122,125,128,131,
135,137,143,147,151,156,158,159,160,161,163,166,170,180,187,199,202,317,378,
380,382,383,473,474,476,479,482,484,500,501,681,698,702,707,764,766,768,
1005],[1,2,3,7,8,9,11,12,13,14,15,16,28,30,36,37,43,46,47,48,57,58,59,60,63,
65,66,67,69,70,109,113,123,126,129,132,134,136,144,148,150,157,158,159,160,
161,162,167,170,179,188,200,202,316,377,379,381,384,473,474,475,479,483,484,
499,502,682,697,701,708,765,767,769,1006],[1,2,3,7,8,9,10,11,12,13,15,16,27,
28,29,34,36,37,39,41,42,43,46,47,48,49,50,51,52,54,56,58,59,60,61,63,64,67,69,
106,110,112,114,118,122,128,130,132,134,140,141,144,148,153,155,156,161,164,
167,168,180,182,183,187,190,194,196,197,198,199,202,211,213,217,220,310,317,
319,329,334,335,340,347,349,353,362,364,373,374,380,386,391,406,408,413,422,
423,426,430,432,440,449,452,454,457,462,468,502,643,661,679,686,762,774,784,
795,813,1007],[1,2,3,7,8,9,10,11,12,13,15,16,27,28,30,33,36,37,38,40,42,43,46,
47,48,49,50,51,52,53,56,57,59,60,61,63,65,67,68,105,109,113,115,119,123,129,
130,131,135,139,142,143,147,152,154,157,160,165,166,169,179,181,184,188,191,
193,195,197,198,200,202,210,213,218,221,309,316,318,328,333,336,339,348,350,
354,361,363,372,375,379,385,392,407,409,412,421,424,425,431,433,439,448,453,
455,456,461,467,501,644,662,678,685,763,775,783,794,812,1008],[1,2,3,8,9,10,
11,12,13,15,16,27,28,30,31,33,34,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,
53,56,57,58,59,60,61,62,63,65,67,68,70,105,108,113,114,115,119,120,123,124,
129,130,131,135,137,139,142,143,147,150,152,154,157,159,160,165,166,169,179,
181,184,186,188,191,192,193,195,196,197,198,205,207,210,211,212,213,215,218,
219,221,309,313,318,320,325,327,328,333,339,341,344,345,348,350,351,354,361,
363,366,372,375,377,385,388,389,392,407,409,410,412,415,418,420,421,425,431,
433,435,437,439,446,448,450,453,455,456,461,463,465,467,500,501,645,657,662,
676,678,683,687,759,761,775,776,782,785,796,799,800,811,812,1009],[1,2,3,8,9,
10,11,12,13,15,16,27,28,29,32,33,34,36,38,39,40,41,42,43,45,46,47,48,49,50,51,
52,54,56,57,58,59,60,61,62,63,64,67,69,70,106,107,112,114,115,118,121,122,124,
128,130,132,134,136,140,141,144,148,151,153,155,156,158,161,164,167,168,180,
182,183,185,187,190,192,194,195,196,197,198,206,208,210,211,212,213,216,217,
219,220,310,314,319,320,324,326,329,334,340,342,343,346,347,349,352,353,362,
364,367,373,374,378,386,387,390,391,406,408,411,413,416,417,419,422,426,430,
432,434,438,440,447,449,451,452,454,457,462,464,466,468,499,502,646,658,661,
677,679,684,688,758,760,774,777,781,786,797,798,801,810,813,1010],[1,2,3,7,8,
9,10,11,12,13,14,15,16,27,28,29,30,32,36,37,42,43,45,46,47,48,57,58,59,62,63,
65,66,67,70,107,110,112,113,121,122,123,124,125,126,129,131,136,142,143,145,
146,150,157,159,160,162,163,166,170,180,185,186,187,188,199,201,202,216,219,
314,315,317,377,379,382,383,384,398,404,410,414,438,461,465,469,472,476,482,
491,663,698,700,711,713,720,721,803,1011],[1,2,3,7,8,9,10,11,12,13,14,15,16,
27,28,29,30,31,36,37,42,43,45,46,47,48,57,58,60,62,63,64,66,67,70,108,109,112,
113,120,122,123,124,125,126,128,132,137,141,144,145,146,151,156,158,161,162,
163,167,170,179,185,186,187,188,200,201,202,215,219,313,315,316,378,380,381,
383,384,398,405,411,414,437,462,466,469,471,475,483,492,664,697,699,712,714,
719,721,804,1012],[1,2,3,7,8,9,10,11,12,13,15,16,27,28,29,30,36,37,42,43,45,
46,47,48,57,58,59,60,62,63,64,65,67,70,109,110,112,113,122,123,124,127,128,
129,131,132,138,141,142,143,144,150,151,156,157,158,159,160,161,166,167,179,
180,185,186,187,188,189,199,200,201,202,214,215,216,219,315,316,317,323,377,
378,379,380,381,382,401,404,405,410,411,441,442,461,462,465,466,473,474,479,
484,667,701,702,707,708,719,720,805,1013],[1,2,3,6,8,9,10,11,12,13,15,16,27,
28,29,30,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,56,57,58,59,60,
61,62,67,111,112,113,114,115,116,117,118,119,124,130,131,132,133,152,153,154,
155,158,159,160,161,166,167,168,169,183,184,185,186,187,188,190,191,192,193,
194,195,196,197,198,201,210,211,212,213,311,312,315,318,319,320,326,327,328,
329,330,381,382,385,386,389,390,391,392,397,443,680,717,718,724,1014],[1,2,3,
6,8,9,11,12,13,14,15,16,28,30,31,34,35,36,39,41,43,45,47,49,51,53,57,58,59,60,
61,62,65,66,67,108,111,113,114,116,118,120,124,126,129,130,131,132,133,153,
155,157,158,160,161,162,165,166,167,168,170,179,181,186,197,205,207,312,313,
325,338,345,361,379,381,384,386,388,390,391,397,471,492,649,669,699,718,767,
1015],[1,2,3,6,8,9,10,12,13,14,15,16,27,29,32,33,35,36,38,40,42,45,48,50,52,
54,57,58,59,60,61,62,64,66,67,107,111,112,115,117,119,121,124,125,128,130,131,
132,133,152,154,156,159,160,161,163,164,166,167,169,170,180,182,185,198,206,
208,311,314,324,337,346,362,380,382,383,385,387,389,392,397,472,491,650,668,
700,717,766,1016],[1,2,3,6,7,8,9,10,12,13,15,16,27,29,33,35,36,37,38,40,42,46,
47,48,57,58,59,60,61,62,63,64,67,110,111,112,115,117,119,122,124,128,130,131,
132,133,151,152,154,156,158,159,160,161,166,169,171,173,180,187,199,202,311,
317,331,352,378,380,382,385,389,392,396,397,473,484,648,670,702,717,768,
1017],[1,2,3,6,7,8,9,11,12,13,15,16,28,30,34,35,36,37,39,41,43,46,47,48,57,58,
59,60,61,62,63,65,67,109,111,113,114,116,118,123,124,129,130,131,132,133,150,
153,155,157,158,159,160,161,167,168,172,174,179,188,200,202,312,316,332,351,
377,379,381,386,390,391,395,397,474,484,647,671,701,718,769,1018],[1,2,3,6,7,
8,9,10,12,13,14,15,16,27,29,33,35,36,37,38,40,42,44,46,47,48,55,57,58,59,60,
61,62,63,66,67,110,111,112,115,117,119,122,124,125,130,131,132,133,151,152,
154,158,159,160,163,166,169,170,177,178,180,187,199,202,204,209,311,317,321,
358,365,369,378,382,383,385,389,392,393,397,474,476,479,482,654,674,698,707,
717,764,770,1019],[1,2,3,6,7,8,9,11,12,13,14,15,16,28,30,34,35,36,37,39,41,43,
44,46,47,48,55,57,58,59,60,61,62,63,66,67,109,111,113,114,116,118,123,124,126,
130,131,132,133,150,153,155,158,159,161,162,167,168,170,176,178,179,188,200,
202,203,209,312,316,322,357,365,368,377,381,384,386,390,391,394,397,473,475,
479,483,653,675,697,708,718,765,771,1020],[1,2,3,6,8,9,11,12,13,15,16,28,30,
31,34,35,36,39,41,43,45,47,49,51,53,57,58,59,60,61,62,65,67,108,111,113,114,
116,118,120,124,129,130,131,132,133,153,155,157,158,160,161,165,166,167,168,
172,174,179,181,186,197,205,207,312,313,325,338,345,361,379,381,386,388,390,
391,395,397,489,495,649,671,716,718,772,1021],[1,2,3,6,8,9,10,12,13,15,16,27,
29,32,33,35,36,38,40,42,45,48,50,52,54,57,58,59,60,61,62,64,67,107,111,112,
115,117,119,121,124,128,130,131,132,133,152,154,156,159,160,161,164,166,167,
169,171,173,180,182,185,198,206,208,311,314,324,337,346,362,380,382,385,387,
389,392,396,397,490,496,650,670,715,717,773,1022],[1,2,3,6,8,9,10,11,12,13,14,
15,16,27,28,29,30,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,56,57,
58,59,60,61,62,65,66,67,111,112,113,114,115,116,117,118,119,124,126,129,130,
131,132,133,157,160,162,170,172,174,183,184,185,186,187,188,190,191,192,193,
194,195,196,197,198,201,210,211,212,213,311,312,315,318,319,320,326,327,328,
329,330,379,384,395,397,472,476,494,669,671,706,711,724,1023],[1,2,3,6,8,9,10,
11,12,13,14,15,16,27,28,29,30,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,
51,52,56,57,58,59,60,61,62,64,66,67,111,112,113,114,115,116,117,118,119,124,
125,128,130,131,132,133,156,161,163,170,171,173,183,184,185,186,187,188,190,
191,192,193,194,195,196,197,198,201,210,211,212,213,311,312,315,318,319,320,
326,327,328,329,330,380,383,396,397,471,475,493,668,670,705,712,724,1024],[1,
2,3,6,8,9,10,11,12,13,14,15,16,27,28,29,30,33,34,35,36,38,39,40,41,42,43,45,
46,47,48,49,50,51,52,56,57,58,59,60,61,62,63,66,67,111,112,113,114,115,116,
117,118,119,123,124,126,130,131,132,133,150,159,162,170,176,178,183,184,185,
186,187,188,190,191,192,193,194,195,196,197,198,201,210,211,212,213,311,312,
315,318,319,320,326,327,328,329,330,377,384,394,397,477,482,485,491,675,693,
696,713,724,1025],[1,2,3,6,8,9,10,11,12,13,14,15,16,27,28,29,30,33,34,35,36,
38,39,40,41,42,43,45,46,47,48,49,50,51,52,56,57,58,59,60,61,62,63,66,67,111,
112,113,114,115,116,117,118,119,122,124,125,130,131,132,133,151,158,163,170,
177,178,183,184,185,186,187,188,190,191,192,193,194,195,196,197,198,201,210,
211,212,213,311,312,315,318,319,320,326,327,328,329,330,378,383,393,397,478,
483,486,492,674,694,695,714,724,1026],[1,2,3,6,8,9,10,11,12,13,15,16,27,28,29,
30,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,56,57,58,59,60,61,62,
65,67,111,112,113,114,115,116,117,118,119,124,129,130,131,132,133,157,160,172,
174,183,184,185,186,187,188,190,191,192,193,194,195,196,197,198,201,210,211,
212,213,311,312,315,318,319,320,326,327,328,329,330,379,395,397,480,488,498,
671,704,709,724,1027],[1,2,3,6,8,9,10,11,12,13,15,16,27,28,29,30,33,34,35,36,
38,39,40,41,42,43,45,46,47,48,49,50,51,52,56,57,58,59,60,61,62,64,67,111,112,
113,114,115,116,117,118,119,124,128,130,131,132,133,156,161,171,173,183,184,
185,186,187,188,190,191,192,193,194,195,196,197,198,201,210,211,212,213,311,
312,315,318,319,320,326,327,328,329,330,380,396,397,481,487,497,670,703,710,
724,1028],[1,2,3,6,8,9,10,11,12,13,15,16,27,28,29,30,32,33,34,35,36,38,39,40,
41,42,43,45,46,47,48,49,50,51,52,54,56,57,58,59,60,61,62,64,67,69,107,111,112,
113,114,115,116,117,118,119,121,124,128,130,131,132,133,134,140,141,144,148,
151,153,156,158,161,164,167,168,180,182,183,184,185,186,187,188,190,191,192,
193,194,195,196,197,198,201,206,208,210,211,212,213,217,220,311,312,314,315,
318,319,320,324,326,327,328,329,330,337,340,342,346,352,362,364,367,373,374,
380,381,387,391,397,399,403,413,417,419,423,426,430,432,440,447,451,452,454,
457,464,466,468,502,650,659,666,688,691,722,724,774,781,786,790,795,798,
1029],[1,2,3,6,8,9,10,11,12,13,15,16,27,28,29,30,31,33,34,35,36,38,39,40,41,
42,43,45,46,47,48,49,50,51,52,53,56,57,58,59,60,61,62,65,67,68,108,111,112,
113,114,115,116,117,118,119,120,124,129,130,131,132,133,135,139,142,143,147,
150,152,157,159,160,165,166,169,179,181,183,184,185,186,187,188,190,191,192,
193,194,195,196,197,198,201,205,207,210,211,212,213,218,221,311,312,313,315,
318,319,320,325,326,327,328,329,330,338,339,341,345,351,361,363,366,372,375,
379,382,388,392,397,400,402,412,418,420,424,425,431,433,439,446,450,453,455,
456,463,465,467,501,649,660,665,687,692,723,724,775,782,785,791,794,799,
1030],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,27,28,29,30,33,34,35,36,37,38,39,40,
41,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,62,63,66,67,70,109,
110,111,112,113,114,115,116,117,118,119,122,123,124,125,126,127,130,131,132,
133,138,145,146,149,162,163,170,175,176,177,178,179,180,183,184,185,186,187,
188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,209,210,
211,212,213,214,215,216,219,311,312,315,316,317,318,319,320,321,322,323,326,
327,328,329,330,357,358,359,360,365,368,369,376,383,384,393,394,397,401,404,
405,414,427,428,429,436,441,442,445,458,459,460,469,470,503,653,654,667,689,
690,721,724,778,787,792,802,1031],[1,2,3,6,7,8,9,10,11,12,13,15,16,27,28,29,
30,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,54,56,57,58,59,
60,61,62,63,64,67,70,107,110,111,112,113,114,115,116,117,118,119,121,122,124,
128,130,131,132,133,136,141,144,148,151,155,156,158,161,164,167,168,180,182,
183,184,185,186,187,188,190,191,192,193,194,195,196,197,198,199,201,202,206,
208,210,211,212,213,216,219,311,312,314,315,317,318,319,320,324,326,327,328,
329,330,331,335,337,342,343,346,347,349,352,362,367,374,378,380,381,387,390,
397,398,404,411,416,417,419,422,423,434,438,447,449,451,452,457,462,464,466,
499,648,650,656,663,684,686,691,719,724,777,784,786,788,797,801,1032],[1,2,3,
6,7,8,9,10,11,12,13,15,16,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,45,
46,47,48,49,50,51,52,53,56,57,58,59,60,61,62,63,65,67,70,108,109,111,112,113,
114,115,116,117,118,119,120,123,124,129,130,131,132,133,137,142,143,147,150,
154,157,159,160,165,166,169,179,181,183,184,185,186,187,188,190,191,192,193,
194,195,196,197,198,200,201,202,205,207,210,211,212,213,215,219,311,312,313,
315,316,318,319,320,325,326,327,328,329,330,332,336,338,341,344,345,348,350,
351,361,366,375,377,379,382,388,389,397,398,405,410,415,418,420,421,424,435,
437,446,448,450,453,456,461,463,465,500,647,649,655,664,683,685,692,720,724,
776,783,785,789,796,800,1033],[1,2,3,8,9,10,11,12,13,14,15,16,27,28,30,31,33,
36,38,40,43,45,47,50,52,56,57,58,59,60,61,63,64,66,67,108,113,115,120,121,123,
126,128,130,132,140,141,143,148,150,154,158,159,161,162,164,165,167,170,179,
184,186,191,193,195,198,313,318,341,344,377,381,384,387,413,415,418,448,464,
468,471,477,492,683,696,699,722,765,1034],[1,2,3,8,9,10,11,12,13,14,15,16,27,
28,29,32,34,36,39,41,42,45,48,49,51,56,57,58,59,60,61,63,65,66,67,107,112,114,
120,121,122,125,129,130,131,139,142,144,147,151,155,158,159,160,163,164,165,
166,170,180,183,185,190,194,196,197,314,319,342,343,378,382,383,388,412,416,
417,449,463,467,472,478,491,684,695,700,723,764,1035],[1,2,3,7,8,9,10,11,12,
13,15,16,27,28,29,34,36,37,39,41,42,46,47,48,49,51,57,58,59,60,61,63,64,65,67,
110,112,114,120,122,128,129,130,131,139,142,147,148,151,156,158,159,160,161,
165,166,168,180,183,187,190,194,197,199,202,317,319,335,349,378,380,382,388,
412,422,423,452,463,467,474,479,486,686,694,707,723,768,1036],[1,2,3,7,8,9,10,
11,12,13,15,16,27,28,30,33,36,37,38,40,43,46,47,48,50,52,57,58,59,60,61,63,64,
65,67,109,113,115,121,123,128,129,130,132,140,141,147,148,150,157,158,159,160,
161,164,167,169,179,184,188,191,193,198,200,202,316,318,336,350,377,379,381,
387,413,421,424,453,464,468,473,479,485,685,693,708,722,769,1037],[1,2,3,8,9,
10,11,12,13,14,15,16,27,28,29,30,34,36,39,41,42,43,45,46,47,48,49,51,53,57,58,
59,60,61,62,63,64,66,67,112,113,114,122,124,125,128,130,131,132,141,143,144,
147,150,151,156,157,158,159,160,161,163,165,166,167,170,179,181,183,185,186,
187,188,190,194,197,201,315,319,345,351,361,378,380,381,382,383,411,418,420,
424,446,456,462,466,483,486,492,493,692,694,705,714,719,764,768,1038],[1,2,3,
8,9,10,11,12,13,14,15,16,27,28,29,30,33,36,38,40,42,43,45,46,47,48,50,52,54,
57,58,59,60,61,62,63,65,66,67,112,113,115,123,124,126,129,130,131,132,142,143,
144,148,150,151,156,157,158,159,160,161,162,164,166,167,170,180,182,184,185,
186,187,188,191,193,198,201,315,318,346,352,362,377,379,381,382,384,410,417,
419,423,447,457,461,465,482,485,491,494,691,693,706,713,720,765,769,1039],[1,
2,3,8,9,10,11,12,13,14,15,16,27,28,29,30,33,36,38,40,42,43,45,46,47,48,50,52,
54,57,58,59,60,61,62,65,66,67,112,113,115,124,125,126,129,130,132,144,145,146,
148,151,156,157,158,160,161,162,163,164,167,170,180,182,184,185,186,187,188,
191,193,198,201,315,318,346,352,362,379,381,383,384,414,417,419,423,447,457,
469,472,476,477,494,691,696,706,711,721,767,771,1040],[1,2,3,8,9,10,11,12,13,
14,15,16,27,28,29,30,34,36,39,41,42,43,45,46,47,48,49,51,53,57,58,59,60,61,62,
64,66,67,112,113,114,124,125,126,128,130,131,143,145,146,147,150,156,157,159,
160,161,162,163,165,166,170,179,181,183,185,186,187,188,190,194,197,201,315,
319,345,351,361,380,382,383,384,414,418,420,424,446,456,469,471,475,478,493,
692,695,705,712,721,766,770,1041],[1,2,3,7,8,9,10,11,12,13,14,15,16,27,28,29,
34,36,37,39,41,42,46,47,48,49,51,55,57,58,59,60,61,63,64,65,66,67,110,112,114,
120,122,125,128,129,130,131,139,142,147,149,156,159,160,161,163,165,166,170,
175,176,180,183,187,190,194,197,199,202,203,317,319,357,359,380,382,383,388,
412,427,429,459,463,467,473,476,482,484,493,689,698,702,705,723,766,770,
1042],[1,2,3,7,8,9,10,11,12,13,14,15,16,27,28,30,33,36,37,38,40,43,46,47,48,
50,52,55,57,58,59,60,61,63,64,65,66,67,109,113,115,121,123,126,128,129,130,
132,140,141,148,149,157,158,160,161,162,164,167,170,175,177,179,184,188,191,
193,198,200,202,204,316,318,358,360,379,381,384,387,413,427,428,458,464,468,
474,475,483,484,494,690,697,701,706,722,767,771,1043],[1,2,3,6,8,9,10,11,12,
13,15,16,27,28,29,30,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,56,
57,58,59,60,61,62,67,71,111,112,113,114,115,116,117,118,119,124,130,131,132,
133,183,184,185,186,187,188,190,191,192,193,194,195,196,197,198,201,210,211,
212,213,222,223,224,311,312,315,318,319,320,326,327,328,329,330,397,504,505,
506,507,508,517,724,779,780,793,1044],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,27,
28,30,33,34,35,36,37,38,39,40,41,43,45,46,47,48,49,50,52,55,56,57,58,59,60,61,
63,66,67,109,111,113,114,115,116,118,123,126,130,132,149,150,153,158,159,161,
162,167,168,170,175,176,177,178,179,184,185,188,190,191,193,196,198,200,202,
204,210,212,312,316,318,326,332,337,340,351,358,360,364,367,377,381,384,391,
394,427,428,458,473,479,485,647,659,675,690,693,708,765,1045],[1,2,3,6,7,8,9,
10,11,12,13,14,15,16,27,28,29,33,34,35,36,37,38,39,40,41,42,45,46,47,48,49,50,
51,55,56,57,58,59,60,61,63,66,67,110,111,112,114,115,117,119,122,125,130,131,
149,151,152,158,159,160,163,166,169,170,175,176,177,178,180,183,186,187,190,
191,194,195,197,199,202,203,211,212,311,317,319,327,331,338,339,352,357,359,
363,366,378,382,383,392,393,427,429,459,474,479,486,648,660,674,689,694,707,
764,1046],[1,2,3,6,8,9,10,11,12,13,14,15,16,27,28,29,32,33,34,35,36,38,39,40,
41,42,45,47,48,49,50,51,52,54,56,57,58,59,60,61,63,64,66,67,107,111,112,114,
115,117,119,121,122,125,128,130,131,144,151,152,155,156,158,159,160,161,163,
164,166,167,169,170,177,178,180,182,183,185,186,190,191,194,195,196,197,198,
206,208,211,212,311,314,319,324,327,337,338,339,342,343,346,362,363,366,378,
380,382,383,387,392,393,416,417,449,472,491,493,650,660,674,684,700,705,768,
1047],[1,2,3,6,8,9,10,11,12,13,14,15,16,27,28,30,31,33,34,35,36,38,39,40,41,
43,45,47,48,49,50,51,52,53,56,57,58,59,60,61,63,65,66,67,108,111,113,114,115,
116,118,120,123,126,129,130,132,143,150,153,154,157,158,159,160,161,162,165,
166,167,168,170,176,178,179,181,184,185,186,190,191,193,195,196,197,198,205,
207,210,212,312,313,318,325,326,337,338,340,341,344,345,361,364,367,377,379,
381,384,388,391,394,415,418,448,471,492,494,649,659,675,683,699,706,769,
1048],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,27,28,30,33,34,35,36,37,38,39,40,41,
43,44,45,46,47,48,49,50,52,55,56,57,58,59,60,61,63,66,67,109,111,113,114,115,
116,118,123,126,130,132,149,153,158,161,162,167,168,170,175,176,177,178,179,
184,185,188,190,191,193,196,198,200,202,203,204,209,210,212,312,316,318,322,
326,337,340,357,358,360,364,365,367,368,381,384,391,394,427,428,458,475,477,
483,653,659,669,690,696,697,771,1049],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,27,
28,29,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,55,56,57,58,59,60,
61,63,66,67,110,111,112,114,115,117,119,122,125,130,131,149,152,159,160,163,
166,169,170,175,176,177,178,180,183,186,187,190,191,194,195,197,199,202,203,
204,209,211,212,311,317,319,321,327,338,339,357,358,359,363,365,366,369,382,
383,392,393,427,429,459,476,478,482,654,660,668,689,695,698,770,1050],[1,2,3,
6,7,8,9,10,11,12,13,14,15,16,27,28,29,33,34,35,36,37,38,39,40,41,42,44,45,46,
47,48,49,50,51,55,56,57,58,59,60,61,63,64,66,67,110,111,112,114,115,117,119,
122,125,128,130,131,148,152,156,159,160,161,163,166,168,169,170,171,173,177,
178,180,183,186,187,190,191,194,195,197,199,202,204,209,211,212,311,317,319,
321,327,335,338,339,349,358,363,365,366,369,380,382,383,392,393,396,422,423,
452,473,484,493,654,660,670,686,702,705,766,1051],[1,2,3,6,7,8,9,10,11,12,13,
14,15,16,27,28,30,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,52,55,56,
57,58,59,60,61,63,65,66,67,109,111,113,114,115,116,118,123,126,129,130,132,
147,153,157,158,160,161,162,167,168,169,170,172,174,176,178,179,184,185,188,
190,191,193,196,198,200,202,203,209,210,212,312,316,318,322,326,336,337,340,
350,357,364,365,367,368,379,381,384,391,394,395,421,424,453,474,484,494,653,
659,671,685,701,706,767,1052],[1,2,3,8,9,10,11,12,13,15,16,27,28,31,33,34,36,
38,39,40,41,43,45,48,49,50,51,52,53,56,57,58,59,60,62,65,67,106,108,114,115,
118,120,124,129,132,143,147,150,152,153,155,158,165,166,167,168,169,172,174,
181,185,190,191,192,195,196,197,198,205,207,210,212,310,320,325,326,341,343,
353,355,363,364,367,370,386,388,390,395,420,425,450,455,489,495,498,652,658,
673,687,709,716,772,1053],[1,2,3,8,9,10,11,12,13,15,16,27,28,32,33,34,36,38,
39,40,41,42,45,47,49,50,51,52,54,56,57,58,59,60,62,64,67,105,107,114,115,119,
121,124,128,131,144,148,151,152,153,154,159,164,166,167,168,169,171,173,182,
186,190,191,192,195,196,197,198,206,208,211,212,309,320,324,327,342,344,354,
356,363,364,366,371,385,387,389,396,419,426,451,454,490,496,497,651,657,672,
688,710,715,773,1054],[1,2,3,8,9,10,11,12,13,15,16,27,28,30,32,33,36,38,40,43,
47,49,50,51,52,53,54,56,57,59,60,61,64,65,68,69,71,107,113,115,128,129,130,
134,135,139,142,147,152,157,165,166,169,179,181,182,184,191,193,195,197,198,
206,208,217,218,220,221,222,223,224,225,226,227,228,318,324,361,363,372,375,
399,403,412,431,433,439,440,453,455,504,507,508,509,512,513,514,515,516,518,
666,775,780,806,808,815,816,831,837,1055],[1,2,3,8,9,10,11,12,13,15,16,27,28,
29,31,34,36,39,41,42,48,49,50,51,52,53,54,56,58,59,60,61,64,65,68,69,71,108,
112,114,128,129,130,134,135,140,141,148,153,156,164,167,168,180,181,182,183,
190,194,196,197,198,205,207,217,218,220,221,222,223,224,225,226,227,228,319,
325,362,364,373,374,400,402,413,430,432,439,440,452,454,505,506,508,510,511,
513,514,515,516,518,665,774,779,807,809,814,817,830,837,1056],[1,2,3,6,8,9,10,
11,12,13,15,16,27,28,29,30,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,
52,54,56,57,58,59,60,61,62,63,64,67,69,70,111,112,113,114,115,116,118,121,122,
124,128,130,131,132,133,134,136,140,141,144,148,151,153,155,156,158,161,164,
167,168,180,182,183,184,185,186,187,188,190,191,193,196,198,201,210,211,212,
213,216,217,219,220,312,315,318,326,329,331,337,340,343,346,347,349,352,362,
364,367,378,380,381,386,387,390,391,397,406,408,411,413,416,417,419,422,423,
426,430,432,434,438,440,447,449,451,452,454,457,462,464,466,468,499,502,656,
659,682,691,718,719,722,758,760,762,788,790,795,797,798,801,810,813,1057],[1,
2,3,6,8,9,10,11,12,13,15,16,27,28,29,30,33,34,35,36,38,39,40,41,42,43,45,46,
47,48,49,50,51,52,53,56,57,58,59,60,61,62,63,65,67,68,70,111,112,113,114,115,
117,119,120,123,124,129,130,131,132,133,135,137,139,142,143,147,150,152,154,
157,159,160,165,166,169,179,181,183,184,185,186,187,188,190,191,194,195,197,
201,210,211,212,213,215,218,219,221,311,315,319,327,328,332,338,339,344,345,
348,350,351,361,363,366,377,379,382,385,388,389,392,397,407,409,410,412,415,
418,420,421,424,425,431,433,435,437,439,446,448,450,453,455,456,461,463,465,
467,500,501,655,660,681,692,717,720,723,759,761,763,789,791,794,796,799,800,
811,812,1058],[1,2,3,8,9,10,11,12,13,15,16,27,28,30,31,33,36,38,40,43,45,47,
50,52,56,57,59,60,61,63,64,71,108,113,115,120,123,128,130,143,150,154,159,165,
171,173,179,184,186,191,193,195,198,222,223,224,313,318,341,344,377,396,415,
418,448,481,487,504,507,508,683,703,780,828,839,1059],[1,2,3,8,9,10,11,12,13,
15,16,27,28,29,32,34,36,39,41,42,45,48,49,51,56,58,59,60,61,63,65,71,107,112,
114,121,122,129,130,144,151,155,158,164,172,174,180,183,185,190,194,196,197,
222,223,224,314,319,342,343,378,395,416,417,449,480,488,505,506,508,684,704,
779,829,838,1060],[1,2,3,7,8,9,10,11,12,13,15,16,27,28,30,33,36,37,38,40,43,
46,47,48,50,52,57,59,60,61,63,64,65,71,109,113,115,123,128,129,130,147,157,
160,169,171,173,179,184,188,191,193,198,200,202,222,223,224,316,318,336,350,
379,396,421,424,453,481,487,504,507,508,685,703,780,825,841,1061],[1,2,3,7,8,
9,10,11,12,13,15,16,27,28,29,34,36,37,39,41,42,46,47,48,49,51,58,59,60,61,63,
64,65,71,110,112,114,122,128,129,130,148,156,161,168,172,174,180,183,187,190,
194,197,199,202,222,223,224,317,319,335,349,380,395,422,423,452,480,488,505,
506,508,686,704,779,824,840,1062],[1,2,3,8,9,10,11,12,13,15,16,27,28,29,34,36,
39,41,42,43,46,47,49,50,51,52,56,57,58,59,60,61,65,67,106,112,114,118,120,129,
130,131,132,139,142,147,153,155,159,160,161,165,166,167,168,172,174,183,187,
190,194,196,197,198,211,213,310,319,329,334,340,347,349,353,364,382,386,388,
391,395,412,463,467,480,488,661,673,704,723,772,1063],[1,2,3,8,9,10,11,12,13,
15,16,27,28,30,33,36,38,40,42,43,46,48,49,50,51,52,56,57,58,59,60,61,64,67,
105,113,115,119,121,128,130,131,132,140,141,148,152,154,158,160,161,164,166,
167,169,171,173,184,188,191,193,195,197,198,210,213,309,318,328,333,339,348,
350,354,363,381,385,387,392,396,413,464,468,481,487,662,672,703,722,773,
1064],[1,2,3,6,8,9,10,11,12,13,14,15,16,27,28,29,30,33,35,36,38,40,42,43,45,
46,47,48,49,51,52,56,57,58,59,60,62,63,64,66,67,111,112,113,115,117,119,122,
124,125,128,131,132,141,144,151,154,156,158,159,160,161,163,166,167,169,170,
171,173,177,178,184,185,186,187,188,195,197,201,210,213,311,315,328,332,338,
344,348,350,366,378,380,381,382,383,389,393,396,411,462,466,471,475,655,670,
674,712,719,766,768,1065],[1,2,3,6,8,9,10,11,12,13,14,15,16,27,28,29,30,34,35,
36,39,41,42,43,45,46,47,48,50,51,52,56,57,58,59,60,62,63,65,66,67,111,112,113,
114,116,118,123,124,126,129,131,132,142,143,150,155,157,158,159,160,161,162,
166,167,168,170,172,174,176,178,183,185,186,187,188,196,198,201,211,213,312,
315,329,331,337,343,347,349,367,377,379,381,382,384,390,394,395,410,461,465,
472,476,656,671,675,711,720,767,769,1066],[1,2,3,6,8,9,10,11,12,13,14,15,16,
27,28,29,30,34,35,36,39,41,42,43,45,46,47,48,50,51,52,56,57,58,60,62,63,66,67,
111,112,113,114,116,118,123,124,125,126,132,145,146,150,155,158,159,161,162,
163,167,168,170,176,178,183,185,186,187,188,196,198,201,211,213,312,315,329,
331,337,343,347,349,367,377,381,383,384,390,394,414,469,482,491,656,669,675,
713,721,765,771,1067],[1,2,3,6,8,9,10,11,12,13,14,15,16,27,28,29,30,33,35,36,
38,40,42,43,45,46,47,48,49,51,52,56,57,58,59,62,63,66,67,111,112,113,115,117,
119,122,124,125,126,131,145,146,151,154,158,159,160,162,163,166,169,170,177,
178,184,185,186,187,188,195,197,201,210,213,311,315,328,332,338,344,348,350,
366,378,382,383,384,389,393,414,469,483,492,655,668,674,714,721,764,770,
1068],[1,2,3,8,9,10,11,12,13,15,16,27,28,30,33,36,38,40,43,47,49,50,51,52,53,
56,57,58,59,60,61,64,65,67,68,71,113,115,121,128,129,130,132,135,139,140,141,
142,147,148,152,157,158,161,164,165,166,167,169,179,181,184,191,193,195,197,
198,218,221,222,223,224,318,361,363,372,375,381,387,412,413,431,433,439,453,
455,464,468,504,507,508,510,511,722,775,780,830,847,1069],[1,2,3,8,9,10,11,12,
13,15,16,27,28,29,34,36,39,41,42,48,49,50,51,52,54,56,57,58,59,60,61,64,65,67,
69,71,112,114,120,128,129,130,131,134,139,140,141,142,147,148,153,156,159,160,
164,165,166,167,168,180,182,183,190,194,196,197,198,217,220,222,223,224,319,
362,364,373,374,382,388,412,413,430,432,440,452,454,463,467,505,506,508,509,
512,723,774,779,831,847,1070],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,27,28,29,30,
31,34,35,36,37,39,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,62,
63,65,66,67,70,108,109,111,112,113,114,116,118,120,123,124,126,129,132,137,
155,157,158,160,161,162,165,166,167,168,170,176,178,179,181,183,185,186,187,
188,196,197,198,200,201,202,203,205,207,209,211,213,215,219,312,313,315,316,
322,325,329,331,337,338,343,345,347,349,357,361,365,367,368,379,381,384,388,
390,394,398,405,437,471,472,474,476,484,492,649,653,656,664,699,701,711,733,
734,737,738,1071],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,27,28,29,30,32,33,35,36,
37,38,40,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,62,63,64,66,67,
70,107,110,111,112,113,115,117,119,121,122,124,125,128,131,136,154,156,159,
160,161,163,164,166,167,169,170,177,178,180,182,184,185,186,187,188,195,197,
198,199,201,202,204,206,208,209,210,213,216,219,311,314,315,317,321,324,328,
332,337,338,344,346,348,350,358,362,365,366,369,380,382,383,387,389,393,398,
404,438,471,472,473,475,484,491,650,654,655,663,700,702,712,733,735,736,739,
1072],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,27,28,29,30,34,35,36,37,39,41,42,43,
44,45,46,47,48,50,51,52,55,56,57,58,60,62,63,66,67,70,109,110,111,112,113,114,
116,118,122,123,124,126,127,132,138,150,155,158,159,161,162,167,168,170,176,
178,179,180,183,185,186,187,188,189,196,198,199,200,201,202,203,209,211,213,
214,215,216,219,312,315,316,317,322,323,329,331,332,337,343,347,349,351,357,
365,367,368,377,381,384,390,394,401,404,405,441,442,473,475,479,482,483,491,
647,653,656,667,697,708,713,730,735,746,748,1073],[1,2,3,6,7,8,9,10,11,12,13,
14,15,16,27,28,29,30,33,35,36,37,38,40,42,43,44,45,46,47,48,49,51,52,55,56,57,
58,59,62,63,66,67,70,109,110,111,112,113,115,117,119,122,123,124,125,127,131,
138,151,154,158,159,160,163,166,169,170,177,178,179,180,184,185,186,187,188,
189,195,197,199,200,201,202,204,209,210,213,214,215,216,219,311,315,316,317,
321,323,328,331,332,338,344,348,350,352,358,365,366,369,378,382,383,389,393,
401,404,405,441,442,474,476,479,482,483,492,648,654,655,667,698,707,714,729,
734,747,748,1074],[1,2,3,8,9,10,11,12,13,15,16,27,28,30,32,33,36,38,40,42,43,
46,48,49,50,51,52,54,56,57,59,60,61,64,67,69,105,107,113,115,119,128,130,131,
134,152,154,160,166,169,171,173,182,184,188,191,193,195,197,198,206,208,210,
213,217,220,309,318,324,328,333,339,348,350,354,356,363,371,385,392,396,399,
403,440,481,487,490,496,651,662,666,703,715,727,731,741,745,1075],[1,2,3,8,9,
10,11,12,13,15,16,27,28,29,31,34,36,39,41,42,43,46,47,49,50,51,52,53,56,58,59,
60,61,65,67,68,106,108,112,114,118,129,130,132,135,153,155,161,167,168,172,
174,181,183,187,190,194,196,197,198,205,207,211,213,218,221,310,319,325,329,
334,340,347,349,353,355,364,370,386,391,395,400,402,439,480,488,489,495,652,
661,665,704,716,728,732,740,744,1076],[1,2,3,8,9,10,11,12,13,14,15,16,27,28,
29,34,36,39,41,42,43,46,47,49,50,51,52,56,58,59,60,61,66,67,71,106,112,114,
118,125,130,132,153,155,161,163,167,168,170,183,187,190,194,196,197,198,211,
213,222,223,224,310,319,329,334,340,347,349,353,364,383,386,391,478,505,506,
508,661,695,779,819,827,1077],[1,2,3,8,9,10,11,12,13,14,15,16,27,28,30,33,36,
38,40,42,43,46,48,49,50,51,52,56,57,59,60,61,66,67,71,105,113,115,119,126,130,
131,152,154,160,162,166,169,170,184,188,191,193,195,197,198,210,213,222,223,
224,309,318,328,333,339,348,350,354,363,384,385,392,477,504,507,508,662,696,
780,818,826,1078],[1,2,3,8,9,10,11,12,13,15,16,27,28,29,34,36,39,41,42,43,46,
47,49,50,51,52,56,58,59,60,61,63,67,71,106,112,114,118,122,130,132,151,153,
155,158,161,167,168,183,187,190,194,196,197,198,211,213,222,223,224,310,319,
329,334,340,347,349,353,364,378,386,391,486,505,506,508,661,694,779,820,822,
1079],[1,2,3,8,9,10,11,12,13,15,16,27,28,30,33,36,38,40,42,43,46,48,49,50,51,
52,56,57,59,60,61,63,67,71,105,113,115,119,123,130,131,150,152,154,159,160,
166,169,184,188,191,193,195,197,198,210,213,222,223,224,309,318,328,333,339,
348,350,354,363,377,385,392,485,504,507,508,662,693,780,821,823,1080],[1,2,3,
8,9,10,11,12,13,14,15,16,27,28,29,30,36,42,43,45,46,47,48,57,58,59,60,62,63,
64,65,66,67,112,113,122,123,124,125,128,129,131,142,143,150,151,156,157,158,
159,160,161,163,166,170,185,186,187,188,201,315,377,378,379,380,382,383,410,
461,465,471,475,483,492,712,714,720,764,766,768,770,1081],[1,2,3,8,9,10,11,12,
13,14,15,16,27,28,29,30,36,42,43,45,46,47,48,57,58,59,60,62,63,64,65,66,67,
112,113,122,123,124,126,128,129,132,141,144,150,151,156,157,158,159,160,161,
162,167,170,185,186,187,188,201,315,377,378,379,380,381,384,411,462,466,472,
476,482,491,711,713,719,765,767,769,771,1082],[1,2,3,8,9,10,11,12,13,15,16,27,
28,29,34,36,39,41,42,48,49,50,51,52,54,56,58,59,60,61,63,64,65,69,112,114,122,
128,129,130,134,140,141,148,151,153,156,158,164,167,168,172,174,180,182,183,
190,194,196,197,198,217,220,319,362,364,373,374,378,395,413,430,432,440,452,
454,480,486,488,694,704,774,833,844,1083],[1,2,3,8,9,10,11,12,13,15,16,27,28,
30,33,36,38,40,43,47,49,50,51,52,53,56,57,59,60,61,63,64,65,68,113,115,123,
128,129,130,135,139,142,147,150,152,157,159,165,166,169,171,173,179,181,184,
191,193,195,197,198,218,221,318,361,363,372,375,377,396,412,431,433,439,453,
455,481,485,487,693,703,775,832,845,1084],[1,2,3,8,9,10,11,12,13,14,15,16,27,
28,29,34,36,39,41,42,48,49,50,51,52,54,56,58,59,60,61,64,65,66,69,112,114,125,
128,129,130,134,140,141,148,153,156,163,164,167,168,170,172,174,180,182,183,
190,194,196,197,198,217,220,319,362,364,373,374,383,395,413,430,432,440,452,
454,478,480,488,695,704,774,835,842,1085],[1,2,3,8,9,10,11,12,13,14,15,16,27,
28,30,33,36,38,40,43,47,49,50,51,52,53,56,57,59,60,61,64,65,66,68,113,115,126,
128,129,130,135,139,142,147,152,157,162,165,166,169,170,171,173,179,181,184,
191,193,195,197,198,218,221,318,361,363,372,375,384,396,412,431,433,439,453,
455,477,481,487,696,703,775,834,843,1086],[1,2,3,7,8,9,10,11,12,13,14,15,16,
27,28,33,34,36,37,38,39,40,41,46,47,48,55,56,57,58,59,60,62,63,64,65,66,70,
114,115,124,127,128,129,138,145,146,170,171,172,173,174,176,177,189,192,195,
196,202,203,204,215,216,320,357,358,376,395,396,414,436,441,460,497,498,709,
710,778,836,846,1087],[1,2,3,6,7,8,9,12,13,14,15,16,35,36,37,44,46,47,48,55,
57,58,59,60,61,62,63,66,67,70,71,111,124,127,130,131,132,133,138,145,146,149,
170,175,178,189,202,209,215,216,222,223,224,365,397,414,427,441,443,445,470,
503,508,517,680,792,793,848,849,1088],[1,2,3,7,8,9,10,11,12,13,14,15,16,28,30,
32,33,36,37,38,40,42,43,46,47,48,49,50,51,52,53,54,55,56,57,59,61,63,64,66,67,
69,71,109,113,119,123,131,142,143,154,157,162,165,166,171,173,175,179,181,184,
188,193,195,197,200,202,204,206,208,210,213,217,220,223,225,226,316,328,336,
348,360,361,371,375,403,448,456,461,477,481,494,496,507,512,515,741,742,783,
808,825,826,843,1089],[1,2,3,7,8,9,10,11,12,13,14,15,16,27,29,31,34,36,37,39,
41,42,43,46,47,48,49,50,51,52,53,54,55,56,58,60,61,63,65,66,67,68,71,110,112,
118,122,132,141,144,155,156,163,164,167,172,174,175,180,182,183,187,194,196,
198,199,202,203,205,207,211,213,218,221,224,225,227,317,329,335,347,359,362,
370,374,402,449,457,462,478,480,493,495,506,511,516,740,743,784,809,824,827,
842,1090],[1,2,3,8,9,10,11,12,13,15,16,27,31,32,33,34,36,38,39,40,41,43,45,48,
49,50,51,52,53,54,56,58,60,64,65,67,68,71,107,115,118,128,132,140,148,151,153,
161,164,172,174,182,185,190,196,198,205,206,207,208,210,212,218,224,225,227,
324,326,340,342,346,370,373,400,447,454,468,486,488,489,505,510,516,726,728,
781,807,820,829,844,1091],[1,2,3,8,9,10,11,12,13,15,16,28,31,32,33,34,36,38,
39,40,41,42,45,47,49,50,51,52,53,54,56,57,59,64,65,67,69,71,108,114,119,129,
131,139,147,150,152,160,165,171,173,181,186,191,195,197,205,206,207,208,211,
212,217,223,225,226,325,327,339,341,345,371,372,399,446,455,467,485,487,490,
504,509,515,725,727,782,806,821,828,845,1092],[1,2,3,6,7,8,9,10,11,12,13,14,
15,16,27,28,29,30,35,36,37,44,45,46,47,48,49,50,51,52,55,57,58,59,60,61,62,63,
66,67,70,111,120,121,122,123,124,127,130,131,132,133,136,137,138,141,142,143,
144,145,146,147,148,149,156,157,158,159,160,161,164,165,166,167,170,175,178,
179,180,185,186,187,188,189,197,198,199,200,201,202,209,214,215,216,219,331,
332,337,338,365,397,398,401,404,405,410,411,414,417,418,423,424,427,437,438,
441,442,444,445,456,457,461,462,463,464,470,471,472,473,474,475,476,479,482,
483,484,491,492,499,500,503,733,734,735,748,749,752,753,754,755,788,789,792,
803,804,805,1093],[1,2,3,7,9,10,12,13,14,16,30,32,33,37,38,50,52,54,55,59,61,
64,66,68,69,71,105,109,135,139,152,157,162,173,175,184,193,204,206,208,217,
220,223,227,228,333,336,356,360,403,431,477,481,490,494,507,509,513,644,742,
745,815,818,825,834,1094],[1,2,3,7,8,11,12,13,14,16,29,31,34,37,39,49,51,53,
55,60,61,65,66,68,69,71,106,110,134,140,153,156,163,174,175,183,194,203,205,
207,218,221,224,226,228,334,335,355,359,402,430,478,480,489,493,506,510,514,
643,743,744,814,819,824,835,1095],[1,3,9,10,11,15,16,28,31,32,33,50,54,56,57,
59,64,68,69,70,71,105,108,135,137,142,150,154,165,169,173,191,195,206,217,223,
227,228,341,354,356,399,433,435,485,487,496,504,512,513,645,725,731,816,823,
828,832,1096],[1,3,8,10,11,15,16,27,31,32,34,49,53,56,58,60,65,68,69,70,71,
106,107,134,136,141,151,155,164,168,174,190,196,205,218,224,226,228,342,353,
355,400,432,434,486,488,495,505,511,514,646,726,732,817,822,829,833,1097],[1,
2,3,6,8,9,10,11,12,13,15,16,27,28,35,36,45,47,48,49,50,51,52,53,54,57,58,59,
60,61,62,64,65,67,68,69,71,111,124,128,129,130,131,132,133,134,135,139,140,
141,142,143,144,147,148,150,151,160,161,164,165,166,167,181,182,185,186,197,
198,217,218,220,221,222,223,224,225,226,227,228,337,338,397,412,413,419,420,
439,440,446,447,465,466,467,468,501,502,508,509,510,511,512,513,514,515,516,
517,518,790,791,793,830,831,837,847,1098],[1,2,3,8,9,10,11,12,13,15,16,27,31,
34,36,39,41,43,49,50,51,52,53,57,58,60,62,65,67,68,69,71,118,121,124,132,134,
141,144,148,151,153,155,158,161,164,167,168,172,174,190,198,205,207,218,224,
226,228,340,370,390,400,408,411,416,419,432,464,486,488,489,502,505,511,514,
728,750,758,817,820,833,838,1099],[1,2,3,8,9,10,11,12,13,15,16,28,32,33,36,38,
40,42,49,50,51,52,54,57,58,59,62,64,67,68,69,71,119,120,124,131,135,142,143,
147,150,152,154,159,160,165,166,169,171,173,191,197,206,208,217,223,227,228,
339,371,389,399,409,410,415,420,433,463,485,487,490,501,504,512,513,727,751,
759,816,821,832,839,1100],[1,2,3,8,9,11,12,13,14,15,16,29,31,34,36,39,41,43,
46,47,49,51,53,58,59,60,61,63,65,66,67,68,69,71,118,122,130,132,134,140,141,
144,148,149,153,155,156,161,163,167,168,172,174,176,183,187,194,205,207,218,
221,224,226,228,347,370,391,402,408,413,422,423,429,430,462,478,480,493,495,
502,506,510,514,740,756,762,814,827,835,840,1101],[1,2,3,8,9,10,12,13,14,15,
16,30,32,33,36,38,40,42,46,48,50,52,54,57,59,60,61,63,64,66,67,68,69,71,119,
123,130,131,135,139,142,143,147,149,152,154,157,160,162,166,169,171,173,177,
184,188,193,206,208,217,220,223,227,228,348,371,392,403,409,412,421,424,428,
431,461,477,481,494,496,501,507,509,513,741,757,763,815,826,834,841,1102],[1,
2,3,7,8,9,10,11,12,13,14,15,16,27,28,29,30,33,34,36,37,38,39,40,41,45,46,47,
48,51,52,53,54,55,56,57,58,59,60,62,63,66,70,114,115,120,121,122,123,124,127,
136,137,138,141,142,143,144,145,146,150,151,154,155,158,159,160,161,164,165,
168,169,170,176,177,179,180,181,182,183,184,185,186,187,188,189,192,195,196,
199,200,201,202,203,204,214,215,216,219,320,343,344,345,346,349,350,351,352,
357,358,374,375,376,398,401,404,405,410,411,414,434,435,436,437,438,441,442,
444,448,449,450,451,460,471,472,473,474,475,476,479,482,483,484,491,492,729,
730,736,737,738,739,746,747,749,776,777,778,803,804,805,1103],[1,2,3,8,10,11,
12,13,14,15,16,27,29,31,34,39,48,49,51,53,54,56,58,60,61,63,64,65,66,68,71,
106,122,128,141,144,148,149,153,155,156,163,164,168,174,176,180,182,183,190,
194,196,205,207,218,221,224,225,227,334,353,355,374,402,408,422,426,429,449,
452,454,478,480,489,493,506,511,516,679,744,756,809,819,840,842,1104],[1,2,3,
9,10,11,12,13,14,15,16,28,30,32,33,38,47,50,52,53,54,56,57,59,61,63,64,65,66,
69,71,105,123,129,142,143,147,149,152,154,157,162,165,169,173,177,179,181,184,
191,193,195,206,208,217,220,223,225,226,333,354,356,375,403,409,421,425,428,
448,453,455,477,481,490,494,507,512,515,678,745,757,808,818,841,843,1105],[1,
3,8,10,11,15,16,27,31,34,49,53,54,56,58,60,65,68,71,106,121,140,144,151,155,
168,174,182,190,196,205,218,224,225,227,353,355,373,400,406,416,451,486,488,
495,505,510,516,677,732,750,807,822,838,844,1106],[1,3,9,10,11,15,16,28,32,33,
50,53,54,56,57,59,64,69,71,105,120,139,143,150,154,169,173,181,191,195,206,
217,223,225,226,354,356,372,399,407,415,450,485,487,496,504,509,515,676,731,
751,806,823,839,845,1107],[1,3,16,71,229,519,850,1108],[1,2,3,4,5,7,8,12,22,
23,29,37,73,77,79,81,83,88,89,110,271,272,525,526,550,552,553,1109],[1,2,3,4,
5,7,9,12,22,23,30,37,73,77,79,82,84,88,90,109,270,272,525,527,549,551,554,
1110],[1,2,3,4,6,8,9,12,13,22,35,36,72,80,81,82,87,111,281,523,545,546,557,
1111],[1,3,4,5,9,10,23,33,73,82,84,85,90,105,282,527,543,547,555,1112],[1,3,4,
5,8,11,23,34,73,81,83,86,89,106,283,526,544,548,556,1113],[1,2,3,4,6,12,13,15,
16,19,20,22,35,61,62,67,72,87,92,95,133,230,231,233,284,520,521,522,528,529,
851,852,853,854,1114],[1,2,3,4,12,14,15,19,20,22,62,66,72,92,97,100,146,230,
231,233,297,521,529,534,852,859,1115],[1,2,3,4,7,12,15,19,20,22,37,46,62,72,
88,91,92,189,230,231,233,234,287,521,529,530,531,533,852,860,865,1116],[1,2,3,
4,7,12,14,16,19,20,22,37,61,66,72,88,91,92,97,100,175,230,231,233,234,287,297,
521,528,530,531,533,534,853,859,860,1117],[1,2,3,4,6,7,12,13,14,19,20,22,35,
37,44,55,66,72,87,88,91,92,95,97,100,209,230,231,233,234,284,287,288,291,296,
297,299,520,521,522,530,531,533,534,618,851,859,860,866,873,1118],[1,2,3,4,12,
16,19,20,22,61,71,72,92,222,230,231,233,521,528,853,872,1119],[1,2,3,4,5,8,9,
10,11,13,15,16,18,20,21,22,23,40,41,45,49,50,56,67,73,81,83,89,90,93,94,95,96,
98,99,212,232,235,236,252,267,269,278,285,286,289,290,295,298,300,526,532,584,
619,857,862,871,1120],[1,2,3,4,5,8,9,10,11,13,15,16,18,20,21,22,23,40,41,45,
49,50,56,67,73,82,84,89,90,93,94,95,96,98,99,212,232,235,236,251,266,268,277,
285,286,289,290,295,298,300,527,532,585,619,858,863,870,1121],[1,2,3,4,5,6,7,
12,13,14,18,19,20,21,22,23,35,37,44,55,66,73,77,79,87,88,91,92,95,96,97,100,
209,232,235,236,249,257,258,272,284,287,288,291,296,297,299,525,532,568,618,
856,864,867,1122],[1,2,3,4,6,7,12,13,14,19,20,22,35,37,44,55,66,72,80,87,88,
91,92,95,97,100,209,230,234,261,281,284,287,288,291,296,297,299,523,530,581,
618,855,861,869,1123],[1,5,24,25,243,245,621,1124],[1,5,24,244,620,1125],[1,5,
24,25,244,245,621,1126],[1,5,24,26,244,246,622,1127],[1,5,24,25,243,247,621,
1128],[1,4,24,25,242,248,621,1129],[1,3,5,17,23,75,301,623,874,1130],[1,2,3,9,
10,12,16,17,30,33,52,59,74,105,152,184,333,876,1131],[1,2,3,8,11,12,16,17,29,
34,51,60,74,106,153,183,334,875,1132],[1,3,9,10,11,15,16,17,28,33,50,56,57,59,
75,105,154,169,191,195,354,876,1133],[1,3,8,10,11,15,16,17,27,34,49,56,58,60,
75,106,155,168,190,196,353,875,1134],[1,2,3,8,9,10,12,13,17,27,33,36,38,40,42,
76,105,115,119,309,876,1135],[1,2,3,8,9,11,12,13,17,28,34,36,39,41,43,76,106,
114,118,310,875,1136],[1,3,4,8,9,15,20,25,45,81,82,242,251,252,1137],[1,2,5,6,
7,14,18,24,44,77,78,243,249,250,1138],[1,3,5,10,11,15,21,26,56,85,86,246,262,
263,1139],[1,3,5,9,10,16,21,26,50,84,85,246,260,268,1140],[1,3,5,8,11,16,21,
26,49,83,86,246,259,269,1141],[1,2,5,6,7,14,18,25,44,78,102,247,250,303,304,
305,540,630,880,1142],[1,2,5,6,7,14,18,25,44,77,102,247,249,303,304,305,540,
630,881,1143],[1,3,5,11,23,26,31,86,246,279,628,1144],[1,3,5,10,23,26,32,85,
246,280,629,1145],[1,2,4,6,7,14,22,25,44,87,88,100,102,242,296,303,304,305,
538,630,878,879,884,1146],[1,2,4,6,17,19,22,72,74,80,87,104,234,307,523,631,
1147],[1,2,4,5,7,17,18,22,73,74,77,79,88,104,235,307,525,634,1148],[1,2,3,4,6,
8,9,10,12,13,27,29,33,35,36,38,40,42,80,82,105,111,112,115,117,119,309,311,
543,545,641,1149],[1,2,3,4,6,8,9,11,12,13,28,30,34,35,36,39,41,43,80,81,106,
111,113,114,116,118,310,312,544,546,642,1150],[1,2,3,5,7,9,10,12,16,30,33,37,
52,59,68,79,84,85,105,109,135,139,152,157,184,333,336,431,547,549,565,644,
1151],[1,2,3,5,7,8,11,12,16,29,34,37,51,60,69,79,83,86,106,110,134,140,153,
156,183,334,335,430,548,550,564,643,1152],[1,2,3,4,6,8,9,10,12,13,22,27,29,33,
35,36,38,40,42,80,81,87,105,111,112,115,117,119,271,278,281,309,311,546,557,
559,641,905,1153],[1,2,3,4,6,8,9,11,12,13,22,28,30,34,35,36,39,41,43,80,82,87,
106,111,113,114,116,118,270,277,281,310,312,545,557,558,642,904,1154],[1,2,3,
5,6,8,9,11,12,13,23,28,30,34,35,36,39,41,43,83,86,89,106,111,113,114,116,118,
274,276,283,310,312,548,556,560,642,906,1155],[1,2,3,5,6,8,9,10,12,13,23,27,
29,33,35,36,38,40,42,84,85,90,105,111,112,115,117,119,273,275,282,309,311,547,
555,561,641,907,1156],[1,2,3,5,7,9,10,12,16,23,30,33,37,52,59,68,77,84,90,105,
109,135,139,152,157,184,272,282,294,333,336,431,554,555,613,644,1157],[1,2,3,
5,7,8,11,12,16,23,29,34,37,51,60,69,77,83,89,106,110,134,140,153,156,183,272,
283,293,334,335,430,553,556,614,643,1158],[1,3,5,8,10,11,15,16,23,27,32,34,49,
56,58,60,69,70,83,85,89,106,107,134,136,141,151,155,164,168,190,196,273,280,
283,292,293,342,353,432,434,556,562,611,614,646,1159],[1,3,5,9,10,11,15,16,23,
28,31,33,50,56,57,59,68,70,84,86,90,105,108,135,137,142,150,154,165,169,191,
195,274,279,282,292,294,341,354,433,435,555,563,612,613,645,1160],[1,2,3,5,7,
9,10,12,16,23,30,33,37,52,59,68,79,84,90,105,109,135,139,152,157,184,282,333,
336,431,549,555,644,922,1161],[1,2,3,5,7,8,11,12,16,23,29,34,37,51,60,69,79,
83,89,106,110,134,140,153,156,183,283,334,335,430,550,556,643,923,1162],[1,2,
3,4,7,8,11,12,16,22,29,34,37,51,60,69,81,88,106,110,134,140,153,156,183,271,
334,335,430,544,552,643,924,1163],[1,2,3,4,7,9,10,12,16,22,30,33,37,52,59,68,
82,88,105,109,135,139,152,157,184,270,333,336,431,543,551,644,925,1164],[1,2,
3,5,8,9,10,11,12,13,15,16,18,21,23,27,28,30,33,36,38,40,42,43,46,48,49,50,51,
52,56,57,59,60,61,67,84,85,96,105,113,115,119,130,131,152,154,160,166,169,184,
188,191,193,195,197,198,210,213,256,260,263,273,275,282,309,318,328,333,339,
348,350,354,363,385,392,547,571,595,662,888,891,907,1165],[1,2,3,5,8,9,10,11,
12,13,15,16,18,21,23,27,28,29,34,36,39,41,42,43,46,47,49,50,51,52,56,58,59,60,
61,67,83,86,96,106,112,114,118,130,132,153,155,161,167,168,183,187,190,194,
196,197,198,211,213,255,259,262,274,276,283,310,319,329,334,340,347,349,353,
364,386,391,548,572,594,661,887,892,906,1166],[1,2,3,5,8,9,10,11,12,13,15,16,
21,23,27,28,33,34,36,38,39,40,41,42,45,47,49,50,51,56,57,58,59,62,67,84,85,93,
105,114,115,119,124,131,152,154,159,166,169,186,191,192,195,196,197,211,212,
260,263,273,275,282,309,320,327,344,354,363,366,385,389,547,579,590,657,891,
907,1167],[1,2,3,5,8,9,10,11,12,13,15,16,21,23,27,28,33,34,36,38,39,40,41,43,
45,48,49,50,52,56,57,58,60,62,67,83,86,94,106,114,115,118,124,132,153,155,158,
167,168,185,190,192,195,196,198,210,212,259,262,274,276,283,310,320,326,343,
353,364,367,386,390,548,580,591,658,892,906,1168],[1,2,3,4,6,7,8,9,10,12,13,
14,15,19,22,27,29,33,35,36,37,38,40,42,44,46,47,48,55,58,63,66,80,81,91,110,
111,112,115,117,119,122,125,163,170,177,178,180,187,199,202,204,209,254,261,
271,278,281,311,317,321,358,365,369,383,393,546,567,581,654,898,905,1169],[1,
2,3,4,6,7,8,9,11,12,13,14,15,19,22,28,30,34,35,36,37,39,41,43,44,46,47,48,55,
57,63,66,80,82,91,109,111,113,114,116,118,123,126,162,170,176,178,179,188,200,
202,203,209,253,261,270,277,281,312,316,322,357,365,368,384,394,545,566,581,
653,897,904,1170],[1,2,3,4,6,8,9,10,11,12,13,15,16,19,20,22,27,28,29,30,33,35,
36,38,40,42,43,45,46,47,48,49,51,52,56,57,58,59,62,67,80,81,92,111,112,113,
115,117,119,124,131,154,159,160,166,169,184,185,186,187,188,195,197,201,210,
213,252,254,267,271,278,281,311,315,328,332,338,344,348,350,366,382,389,546,
569,587,655,885,889,905,1171],[1,2,3,4,6,8,9,10,11,12,13,15,16,19,20,22,27,28,
29,30,34,35,36,39,41,42,43,45,46,47,48,50,51,52,56,57,58,60,62,67,80,82,92,
111,112,113,114,116,118,124,132,155,158,161,167,168,183,185,186,187,188,196,
198,201,211,213,251,253,266,270,277,281,312,315,329,331,337,343,347,349,367,
381,390,545,570,586,656,886,890,904,1172],[1,2,3,5,8,9,11,12,13,16,21,23,28,
31,34,36,39,41,43,49,51,53,59,65,83,86,93,106,108,114,118,129,172,174,181,197,
205,207,264,269,274,276,283,310,325,355,370,395,548,577,589,652,895,906,
1173],[1,2,3,5,8,9,10,12,13,16,21,23,27,32,33,36,38,40,42,50,52,54,60,64,84,
85,94,105,107,115,119,128,171,173,182,198,206,208,265,268,273,275,282,309,324,
356,371,396,547,578,588,651,896,907,1174],[1,2,3,4,6,8,9,10,11,12,13,15,16,20,
22,27,28,30,33,34,35,36,38,39,40,41,43,45,48,49,50,52,56,58,59,60,61,67,80,82,
95,111,113,114,115,116,118,130,132,153,158,161,167,168,184,185,190,191,193,
196,198,210,212,251,266,270,277,281,312,318,326,337,340,364,367,381,391,545,
574,585,659,890,904,1175],[1,2,3,4,6,8,9,10,11,12,13,15,16,20,22,27,28,29,33,
34,35,36,38,39,40,41,42,45,47,49,50,51,56,57,59,60,61,67,80,81,95,111,112,114,
115,117,119,130,131,152,159,160,166,169,183,186,190,191,194,195,197,211,212,
252,267,271,278,281,311,319,327,338,339,363,366,382,392,546,573,584,660,889,
905,1176],[1,2,3,5,8,9,10,12,13,16,23,27,32,33,36,38,40,42,50,52,54,60,64,84,
85,89,105,107,115,119,128,171,173,182,198,206,208,273,275,280,282,309,324,356,
371,396,547,562,651,907,921,1177],[1,2,3,5,8,9,11,12,13,16,23,28,31,34,36,39,
41,43,49,51,53,59,65,83,86,90,106,108,114,118,129,172,174,181,197,205,207,274,
276,279,283,310,325,355,370,395,548,563,652,906,920,1178],[1,2,3,4,6,7,8,9,10,
12,13,15,22,27,29,33,35,36,37,38,40,42,46,47,48,58,63,80,81,88,110,111,112,
115,117,119,122,151,158,180,187,199,202,271,278,281,311,317,331,352,378,546,
552,648,905,918,1179],[1,2,3,4,6,7,8,9,11,12,13,15,22,28,30,34,35,36,37,39,41,
43,46,47,48,57,63,80,82,88,109,111,113,114,116,118,123,150,159,179,188,200,
202,270,277,281,312,316,332,351,377,545,551,647,904,919,1180],[1,2,3,4,6,8,9,
11,12,13,14,15,22,28,30,34,35,36,39,41,43,57,63,66,80,82,97,111,113,114,116,
118,123,126,150,159,162,170,176,178,270,277,281,312,377,384,394,545,602,608,
675,904,1181],[1,2,3,4,6,8,9,10,12,13,14,15,22,27,29,33,35,36,38,40,42,58,63,
66,80,81,97,111,112,115,117,119,122,125,151,158,163,170,177,178,271,278,281,
311,378,383,393,546,601,608,674,905,1182],[1,2,3,5,8,9,11,12,13,15,16,23,28,
34,36,39,41,43,57,59,65,83,86,98,106,114,118,120,129,165,166,172,174,274,276,
283,310,388,395,548,604,607,673,906,1183],[1,2,3,5,8,9,10,12,13,15,16,23,27,
33,36,38,40,42,58,60,64,84,85,98,105,115,119,121,128,164,167,171,173,273,275,
282,309,387,396,547,603,606,672,907,1184],[1,3,5,8,10,11,15,16,21,23,27,31,34,
49,53,56,58,60,65,68,85,86,93,106,155,168,174,190,196,205,218,259,263,264,273,
279,294,353,355,400,488,495,579,582,732,901,1185],[1,3,5,9,10,11,15,16,21,23,
28,32,33,50,54,56,57,59,64,69,85,86,94,105,154,169,173,191,195,206,217,260,
262,265,274,280,293,354,356,399,487,496,580,583,731,902,1186],[1,2,3,5,7,8,9,
10,11,12,13,14,15,16,21,23,27,28,34,36,37,39,41,45,47,48,53,55,56,57,58,59,63,
66,70,77,85,86,93,114,155,158,160,165,170,176,181,185,186,196,202,203,219,257,
263,264,272,273,274,292,343,345,357,398,472,474,492,575,577,579,738,903,
1187],[1,2,3,5,7,8,9,10,11,12,13,14,15,16,21,23,27,28,33,36,37,38,40,45,47,48,
54,55,56,57,58,60,63,66,70,77,85,86,94,115,154,159,161,164,170,177,182,185,
186,195,202,204,219,257,262,265,272,273,274,292,344,346,358,398,471,473,491,
576,578,580,739,903,1188],[1,2,3,5,8,9,10,11,12,13,16,18,21,23,28,32,33,36,38,
40,42,49,50,51,52,54,59,64,69,85,86,96,119,152,160,171,173,191,197,206,208,
217,255,256,259,265,274,280,293,339,371,399,487,490,572,593,727,902,1189],[1,
2,3,5,8,9,10,11,12,13,16,18,21,23,27,31,34,36,39,41,43,49,50,51,52,53,60,65,
68,85,86,96,118,153,161,172,174,190,198,205,207,218,255,256,260,264,273,279,
294,340,370,400,488,489,571,592,728,901,1190],[1,2,3,5,6,7,8,9,10,11,12,13,14,
15,16,18,21,23,27,28,35,36,37,44,45,47,48,49,50,51,52,55,57,58,59,60,63,66,70,
77,85,86,96,111,160,161,166,167,170,178,185,186,197,198,202,209,219,249,255,
256,257,259,260,272,273,274,292,337,338,365,398,471,472,484,568,571,572,733,
903,1191],[1,2,3,5,8,9,11,12,13,15,16,23,28,34,36,39,41,43,57,59,65,83,86,99,
106,114,118,120,129,165,166,172,174,274,276,283,310,388,395,548,600,673,906,
1192],[1,2,3,5,8,9,10,12,13,15,16,23,27,33,36,38,40,42,58,60,64,84,85,99,105,
115,119,121,128,164,167,171,173,273,275,282,309,387,396,547,599,672,907,
1193],[1,2,3,4,6,8,9,10,12,13,14,22,27,29,33,35,36,38,40,42,66,80,81,100,111,
112,115,117,119,125,163,170,271,278,281,311,383,546,596,668,905,1194],[1,2,3,
4,6,8,9,11,12,13,14,22,28,30,34,35,36,39,41,43,66,80,82,100,111,113,114,116,
118,126,162,170,270,277,281,312,384,545,597,669,904,1195],[1,3,5,9,10,11,15,
16,23,28,32,33,50,54,57,59,64,68,69,71,85,86,98,135,142,165,169,191,206,217,
223,227,228,274,280,293,399,433,504,512,513,604,610,816,902,1196],[1,3,5,8,10,
11,15,16,23,27,31,34,49,53,58,60,65,68,69,71,85,86,98,134,141,164,168,190,205,
218,224,226,228,273,279,294,400,432,505,511,514,603,609,817,901,1197],[1,3,5,
9,10,11,16,21,23,28,32,33,50,53,54,59,64,69,71,85,86,93,139,181,191,206,217,
223,225,226,264,274,280,293,372,399,504,509,515,577,616,806,902,1198],[1,3,5,
8,10,11,16,21,23,27,31,34,49,53,54,60,65,68,71,85,86,94,140,182,190,205,218,
224,225,227,265,273,279,294,373,400,505,510,516,578,615,807,901,1199],[1,2,3,
5,7,8,9,10,11,12,13,15,23,27,28,29,30,31,36,37,42,43,45,46,47,48,57,58,62,63,
70,77,85,86,90,108,109,112,113,120,123,124,137,179,185,186,187,188,200,201,
202,215,219,272,273,274,275,279,292,313,315,316,398,405,437,554,561,563,612,
664,903,1200],[1,2,3,5,7,8,9,10,11,12,13,15,23,27,28,29,30,32,36,37,42,43,45,
46,47,48,57,58,62,63,70,77,85,86,89,107,110,112,113,121,122,124,136,180,185,
186,187,188,199,201,202,216,219,272,273,274,276,280,292,314,315,317,398,404,
438,553,560,562,611,663,903,1201],[1,2,3,5,8,9,10,11,12,13,16,23,27,28,30,32,
33,36,38,40,43,50,52,54,59,60,61,64,69,85,86,89,107,113,115,128,130,134,182,
184,191,193,198,206,208,217,220,273,274,276,280,293,318,324,399,403,440,560,
562,614,666,902,1202],[1,2,3,5,8,9,10,11,12,13,16,23,27,28,29,31,34,36,39,41,
42,49,51,53,59,60,61,65,68,85,86,90,108,112,114,129,130,135,181,183,190,194,
197,205,207,218,221,273,274,275,279,294,319,325,400,402,439,561,563,613,665,
901,1203],[1,2,3,5,7,8,9,10,11,12,13,14,15,16,23,27,28,36,37,45,47,48,57,58,
59,60,61,63,66,70,77,85,86,98,130,143,144,149,158,159,164,165,170,175,185,186,
202,219,272,273,274,292,398,417,418,427,479,491,492,603,604,605,755,903,
1204],[1,3,5,9,10,11,15,16,23,28,31,32,33,50,54,56,57,59,64,69,85,86,90,108,
150,165,191,195,206,217,274,279,280,293,341,399,485,563,725,902,1205],[1,3,5,
8,10,11,15,16,23,27,31,32,34,49,53,56,58,60,65,68,85,86,89,107,151,164,190,
196,205,218,273,279,280,294,342,400,486,562,726,901,1206],[1,3,5,9,10,11,15,
16,23,28,32,33,50,54,57,59,64,69,85,86,99,120,143,150,154,191,206,217,274,280,
293,399,415,485,600,751,902,1207],[1,3,5,8,10,11,15,16,23,27,31,34,49,53,58,
60,65,68,85,86,99,121,144,151,155,190,205,218,273,279,294,400,416,486,599,750,
901,1208],[1,2,3,5,7,8,9,10,11,12,13,15,23,27,28,29,30,36,37,45,46,47,48,57,
58,62,63,70,77,85,86,99,120,121,122,123,124,127,136,137,138,179,180,185,186,
187,188,189,199,200,201,202,214,215,216,219,272,273,274,292,398,401,404,405,
437,438,441,442,444,598,599,600,617,749,903,1209],[1,2,3,4,8,11,12,14,16,22,
29,34,51,60,66,71,81,97,106,153,163,183,224,271,334,478,506,544,601,819,924,
1210],[1,2,3,4,9,10,12,14,16,22,30,33,52,59,66,71,82,97,105,152,162,184,223,
270,333,477,507,543,602,818,925,1211],[1,2,3,5,7,8,11,12,16,23,29,34,37,51,60,
65,71,79,83,98,110,156,174,183,224,283,335,480,506,550,607,824,923,1212],[1,2,
3,5,7,9,10,12,16,23,30,33,37,52,59,64,71,79,84,98,109,157,173,184,223,282,336,
481,507,549,606,825,922,1213],[1,2,3,4,6,8,9,12,13,15,16,22,35,36,57,58,59,60,
61,62,67,80,87,111,124,130,131,132,133,281,397,443,557,680,926,1214],[1,2,3,4,
6,7,8,9,12,13,14,15,19,22,29,30,35,36,37,44,46,47,48,55,57,58,62,63,66,70,80,
82,91,111,158,159,170,178,187,188,189,199,200,202,209,214,215,216,253,261,270,
331,332,365,401,479,482,483,545,566,748,886,897,919,1215],[1,2,3,4,6,7,8,9,12,
13,14,15,19,22,29,30,35,36,37,44,46,47,48,55,57,58,62,63,66,70,80,81,91,111,
158,159,170,178,187,188,189,199,200,202,209,214,215,216,254,261,271,331,332,
365,401,479,482,483,546,567,748,885,898,918,1216],[1,2,3,4,9,10,12,13,16,20,
22,30,32,33,38,50,52,54,59,61,64,69,82,95,105,152,173,184,193,206,208,217,220,
266,270,333,356,403,481,490,543,574,745,893,925,1217],[1,2,3,4,8,11,12,13,16,
20,22,29,31,34,39,49,51,53,60,61,65,68,81,95,106,153,174,183,194,205,207,218,
221,267,271,334,355,402,480,489,544,573,744,894,924,1218],[1,2,3,5,8,11,12,13,
16,18,21,23,29,31,34,39,49,51,53,60,61,65,68,83,86,96,106,153,174,183,194,205,
207,218,221,255,264,269,279,334,355,402,480,489,548,592,744,887,895,920,
1219],[1,2,3,5,9,10,12,13,16,18,21,23,30,32,33,38,50,52,54,59,61,64,69,84,85,
96,105,152,173,184,193,206,208,217,220,256,265,268,280,333,356,403,481,490,
547,593,745,888,896,921,1220],[1,2,3,5,7,8,11,12,13,14,16,21,23,29,31,34,37,
39,49,51,53,55,60,61,65,66,68,79,83,93,110,156,163,175,183,194,203,205,207,
218,221,258,269,283,335,359,402,478,493,550,589,743,899,923,1221],[1,2,3,5,7,
9,10,12,13,14,16,21,23,30,32,33,37,38,50,52,54,55,59,61,64,66,69,79,84,94,109,
157,162,175,184,193,204,206,208,217,220,258,268,282,336,360,403,477,494,549,
588,742,900,922,1222],[1,2,3,4,6,7,8,9,11,12,13,14,15,16,19,20,22,28,29,30,35,
36,37,44,45,46,47,48,49,51,55,57,58,59,62,63,66,70,80,81,92,111,158,160,166,
170,178,179,186,187,197,200,201,202,209,215,219,252,254,261,267,271,331,338,
365,405,474,476,492,546,569,734,889,898,918,1223],[1,2,3,4,6,7,8,9,10,12,13,
14,15,16,19,20,22,27,29,30,35,36,37,44,45,46,47,48,50,52,55,57,58,60,62,63,66,
70,80,82,92,111,159,161,167,170,178,180,185,188,198,199,201,202,209,216,219,
251,253,261,266,270,332,337,365,404,473,475,491,545,570,735,890,897,919,
1224],[1,3,5,9,10,11,15,16,21,23,28,32,33,50,54,56,57,59,64,69,84,85,94,105,
154,169,173,191,195,206,217,260,263,265,268,280,354,356,399,487,496,547,583,
731,891,896,921,1225],[1,3,5,8,10,11,15,16,21,23,27,31,34,49,53,56,58,60,65,
68,83,86,93,106,155,168,174,190,196,205,218,259,262,264,269,279,353,355,400,
488,495,548,582,732,892,895,920,1226],[1,2,3,5,8,9,11,12,13,15,16,23,28,30,36,
43,58,60,67,69,70,86,89,113,132,134,136,144,148,158,161,167,274,276,292,293,
381,499,502,560,611,614,682,1227],[1,2,3,5,8,9,10,12,13,15,16,23,27,29,36,42,
57,59,67,68,70,85,90,112,131,135,137,143,147,159,160,166,273,275,292,294,382,
500,501,561,612,613,681,1228],[1,2,3,4,6,12,13,14,15,16,22,35,61,62,63,66,67,
70,71,80,97,133,138,146,149,178,222,281,443,503,517,608,849,926,1229],[1,3,5,
8,10,11,16,21,23,27,31,34,49,53,54,60,65,68,71,83,93,140,182,190,205,218,224,
225,227,269,283,373,400,505,510,516,564,589,807,928,960,1230],[1,3,5,9,10,11,
16,21,23,28,32,33,50,53,54,59,64,69,71,84,94,139,181,191,206,217,223,225,226,
268,282,372,399,504,509,515,565,588,806,927,959,1231],[1,3,5,8,10,11,15,16,23,
27,34,49,54,56,58,60,83,89,106,121,140,144,151,155,168,182,190,196,283,353,
373,406,416,451,556,564,677,928,957,1232],[1,3,5,9,10,11,15,16,23,28,33,50,53,
56,57,59,84,90,105,120,139,143,150,154,169,181,191,195,282,354,372,407,415,
450,555,565,676,927,958,1233],[1,2,3,4,6,7,12,13,14,15,16,19,22,35,37,44,46,
55,61,62,66,67,71,80,91,133,146,175,189,209,222,261,281,443,445,517,581,848,
926,1234],[1,3,5,8,10,11,15,16,23,27,34,49,54,58,60,65,83,98,140,151,174,182,
190,283,373,486,488,564,607,844,928,1235],[1,3,5,9,10,11,15,16,23,28,33,50,53,
57,59,64,84,98,139,150,173,181,191,282,372,485,487,565,606,845,927,1236],[1,2,
3,4,6,7,8,9,10,11,12,13,14,15,16,19,20,22,29,30,35,37,38,39,40,41,42,43,44,45,
46,47,48,49,50,51,52,55,56,61,62,63,66,67,82,87,88,91,92,95,97,100,109,110,
116,117,125,126,127,133,145,146,149,162,163,175,176,177,178,189,192,193,194,
199,200,201,203,204,209,210,211,212,213,251,253,266,270,277,284,287,288,291,
296,297,299,321,322,323,330,359,360,368,369,376,445,458,459,460,469,470,551,
558,566,570,574,585,586,597,602,618,787,910,917,930,935,940,942,952,1237],[1,
2,3,4,6,7,8,9,10,11,12,13,14,15,16,19,20,22,29,30,35,37,38,39,40,41,42,43,44,
45,46,47,48,49,50,51,52,55,56,61,62,63,66,67,81,87,88,91,92,95,97,100,109,110,
116,117,125,126,127,133,145,146,149,162,163,175,176,177,178,189,192,193,194,
199,200,201,203,204,209,210,211,212,213,252,254,267,271,278,284,287,288,291,
296,297,299,321,322,323,330,359,360,368,369,376,445,458,459,460,469,470,552,
559,567,569,573,584,587,596,601,618,787,911,916,929,934,939,941,953,1238],[1,
2,3,5,6,7,8,9,10,11,12,13,14,15,16,18,21,23,29,30,35,37,38,39,40,41,42,43,44,
45,46,47,48,49,50,51,52,55,56,61,62,63,66,67,77,89,90,93,94,96,98,99,109,110,
116,117,125,126,127,133,145,146,149,162,163,175,176,177,178,189,192,193,194,
199,200,201,203,204,209,210,211,212,213,249,257,272,285,286,289,290,295,298,
300,321,322,323,330,359,360,368,369,376,445,458,459,460,469,470,553,554,568,
575,576,598,605,619,787,908,909,931,938,945,946,954,1239],[1,2,3,5,8,9,10,11,
12,13,15,16,18,21,23,28,30,31,33,34,36,38,39,40,41,42,43,45,46,47,48,49,50,51,
52,53,56,57,59,65,67,86,89,90,93,94,96,98,99,108,113,114,119,120,129,131,142,
143,147,150,157,159,165,166,169,179,181,184,186,188,191,195,197,205,207,210,
211,212,213,255,259,262,264,274,276,279,285,286,289,290,295,298,300,313,325,
327,328,341,351,361,366,375,446,450,453,456,463,465,560,563,572,577,580,582,
591,592,594,600,604,619,785,913,915,932,936,944,947,955,1240],[1,2,3,5,8,9,10,
11,12,13,15,16,18,21,23,27,29,32,33,34,36,38,39,40,41,42,43,45,46,47,48,49,50,
51,52,54,56,58,60,64,67,85,89,90,93,94,96,98,99,107,112,115,118,121,128,132,
141,144,148,151,156,158,164,167,168,180,182,183,185,187,190,196,198,206,208,
210,211,212,213,256,260,263,265,273,275,280,285,286,289,290,295,298,300,314,
324,326,329,342,352,362,367,374,447,451,452,457,464,466,561,562,571,578,579,
583,590,593,595,599,603,619,786,912,914,933,937,943,948,956,1241],[1,3,16,24,
101,620,964,1242],[1,3,15,17,70,75,239,301,623,968,1243],[1,2,3,12,15,17,46,
74,75,76,239,240,301,623,624,967,968,1244],[1,2,3,12,15,17,63,74,75,76,239,
240,301,536,623,624,966,967,968,1245],[1,2,4,5,6,7,14,18,19,22,44,72,73,78,80,
87,88,91,97,100,233,234,235,250,261,288,296,302,520,523,524,533,534,625,868,
869,873,969,1246],[1,2,3,4,5,6,12,13,19,20,22,35,72,73,78,80,87,92,95,230,231,
233,234,281,284,302,520,521,522,523,524,627,851,861,969,1247],[1,2,4,5,6,7,14,
19,22,44,72,73,78,80,87,88,91,97,100,230,233,234,261,288,296,302,520,523,524,
533,534,627,855,873,969,1248],[1,2,3,4,5,7,13,14,18,19,20,21,22,23,55,72,73,
91,95,96,100,230,232,234,235,236,299,302,530,532,625,626,627,970,971,972,
1249],[1,2,3,4,6,8,9,12,13,17,19,20,22,35,36,74,75,76,80,87,92,95,111,237,240,
241,281,284,535,557,631,979,1250],[1,2,3,4,6,9,11,12,13,17,19,20,22,30,35,39,
41,43,74,75,76,82,87,92,95,116,237,240,241,270,277,284,535,558,632,980,982,
1251],[1,2,3,4,6,8,10,12,13,17,19,20,22,29,35,38,40,42,74,75,76,81,87,92,95,
117,237,240,241,271,278,284,535,559,633,981,983,1252],[1,3,4,8,11,17,34,81,
104,106,544,875,1253],[1,3,4,9,10,17,33,82,104,105,543,876,1254],[1,2,3,4,8,
12,14,17,19,20,22,29,66,74,75,76,81,92,97,100,163,238,240,271,297,537,601,633,
981,1255],[1,2,3,4,9,12,14,17,19,20,22,30,66,74,75,76,82,92,97,100,162,238,
240,270,297,537,602,632,980,1256],[1,2,3,4,6,12,13,14,15,17,19,20,22,35,63,66,
74,75,76,80,92,97,100,178,239,240,281,297,536,608,631,979,1257],[1,2,3,4,7,8,
12,15,17,19,20,22,29,37,46,48,63,74,75,76,81,88,91,92,199,239,240,254,271,287,
536,567,633,976,981,1258],[1,2,3,4,7,9,12,15,17,19,20,22,30,37,46,47,63,74,75,
76,82,88,91,92,200,239,240,253,270,287,536,566,632,977,980,1259],[1,2,3,4,6,7,
12,13,14,17,19,20,22,35,37,44,55,66,74,75,76,80,88,91,92,209,238,240,261,281,
287,537,581,631,975,979,1260],[1,2,3,4,6,12,13,14,15,17,22,35,63,66,74,75,76,
80,97,104,178,237,238,239,240,241,281,307,535,536,537,608,635,636,877,984,
1261],[1,2,4,5,7,22,25,73,77,79,88,102,242,245,247,304,525,538,639,879,881,
883,1262],[1,2,4,5,6,22,25,73,78,87,102,242,245,247,303,524,538,639,878,880,
882,1263],[1,2,3,6,8,9,10,11,12,13,15,16,27,28,29,30,33,34,35,36,38,39,40,41,
42,43,45,46,47,48,49,50,51,52,56,57,58,59,60,61,62,67,105,106,111,112,113,114,
115,116,117,118,119,124,130,131,132,133,152,153,154,155,158,159,160,161,166,
167,168,169,183,184,185,186,187,188,190,191,192,193,194,195,196,197,198,201,
210,211,212,213,309,310,311,312,315,318,319,320,326,327,328,329,330,331,332,
333,334,337,338,339,340,343,344,347,348,349,350,353,354,363,364,366,367,381,
382,385,386,389,390,391,392,397,443,641,642,655,656,657,658,659,660,661,662,
680,717,718,724,989,990,1014,1264],[1,2,3,6,7,8,9,10,11,12,13,15,16,27,28,29,
30,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,54,56,57,58,59,
60,61,62,63,64,67,69,70,106,107,110,111,112,113,114,115,116,117,118,119,121,
122,124,128,130,131,132,133,134,136,140,141,144,148,151,153,155,156,158,161,
164,167,168,180,182,183,184,185,186,187,188,190,191,192,193,194,195,196,197,
198,199,201,202,206,208,210,211,212,213,216,217,219,220,310,311,312,314,315,
317,318,319,320,324,326,327,328,329,330,331,334,335,337,340,342,343,346,347,
349,352,353,362,364,367,373,374,378,380,381,386,387,390,391,397,398,399,403,
404,406,408,411,413,416,417,419,422,423,426,430,432,434,438,440,447,449,451,
452,454,457,462,464,466,468,499,502,642,643,646,648,650,656,658,659,661,663,
666,677,679,682,684,686,688,691,718,719,722,724,758,760,762,774,777,781,784,
786,788,790,795,797,798,801,810,813,990,1007,1010,1029,1032,1057,1265],[1,2,3,
6,7,8,9,10,11,12,13,15,16,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,45,
46,47,48,49,50,51,52,53,56,57,58,59,60,61,62,63,65,67,68,70,105,108,109,111,
112,113,114,115,116,117,118,119,120,123,124,129,130,131,132,133,135,137,139,
142,143,147,150,152,154,157,159,160,165,166,169,179,181,183,184,185,186,187,
188,190,191,192,193,194,195,196,197,198,200,201,202,205,207,210,211,212,213,
215,218,219,221,309,311,312,313,315,316,318,319,320,325,326,327,328,329,330,
332,333,336,338,339,341,344,345,348,350,351,354,361,363,366,372,375,377,379,
382,385,388,389,392,397,398,400,402,405,407,409,410,412,415,418,420,421,424,
425,431,433,435,437,439,446,448,450,453,455,456,461,463,465,467,500,501,641,
644,645,647,649,655,657,660,662,664,665,676,678,681,683,685,687,692,717,720,
723,724,759,761,763,775,776,782,783,785,789,791,794,796,799,800,811,812,989,
1008,1009,1030,1033,1058,1266],[1,2,3,6,8,9,10,11,12,13,14,15,16,27,28,29,30,
33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,56,57,58,59,60,61,62,64,
66,67,106,111,112,113,114,115,116,117,118,119,124,125,128,130,131,132,133,153,
155,156,158,161,163,167,168,170,171,173,183,184,185,186,187,188,190,191,192,
193,194,195,196,197,198,201,210,211,212,213,310,311,312,315,318,319,320,326,
327,328,329,330,331,334,337,340,343,347,349,353,364,367,380,381,383,386,390,
391,396,397,471,475,481,487,493,497,642,656,658,659,661,668,670,703,705,710,
712,718,724,990,1024,1028,1267],[1,2,3,6,8,9,10,11,12,13,14,15,16,27,28,29,30,
33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,56,57,58,59,60,61,62,65,
66,67,105,111,112,113,114,115,116,117,118,119,124,126,129,130,131,132,133,152,
154,157,159,160,162,166,169,170,172,174,183,184,185,186,187,188,190,191,192,
193,194,195,196,197,198,201,210,211,212,213,309,311,312,315,318,319,320,326,
327,328,329,330,332,333,338,339,344,348,350,354,363,366,379,382,384,385,389,
392,395,397,472,476,480,488,494,498,641,655,657,660,662,669,671,704,706,709,
711,717,724,989,1023,1027,1268],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,27,28,29,
30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,
58,59,60,61,62,63,65,66,67,70,106,108,109,111,112,113,114,115,116,117,118,119,
120,123,124,126,129,130,131,132,133,137,142,143,147,150,153,154,155,157,158,
159,160,161,162,165,166,167,168,169,170,172,174,176,178,179,181,183,184,185,
186,187,188,190,191,192,193,194,195,196,197,198,200,201,202,203,205,207,209,
210,211,212,213,215,219,310,311,312,313,315,316,318,319,320,322,325,326,327,
328,329,330,331,332,334,336,337,338,340,341,343,344,345,347,348,349,350,351,
353,355,357,361,364,365,366,367,368,370,375,377,379,381,382,384,386,388,389,
390,391,394,395,397,398,405,410,415,418,420,421,424,435,437,446,448,450,453,
456,461,463,465,471,472,474,476,484,492,494,500,642,647,649,652,653,655,656,
658,659,661,664,669,671,673,675,683,685,692,699,701,706,711,718,720,724,733,
734,737,738,767,769,776,783,785,789,796,800,990,991,994,1015,1018,1023,1033,
1048,1052,1066,1071,1269],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,27,28,29,30,32,
33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,
60,61,62,63,64,66,67,70,105,107,110,111,112,113,114,115,116,117,118,119,121,
122,124,125,128,130,131,132,133,136,141,144,148,151,152,154,155,156,158,159,
160,161,163,164,166,167,168,169,170,171,173,177,178,180,182,183,184,185,186,
187,188,190,191,192,193,194,195,196,197,198,199,201,202,204,206,208,209,210,
211,212,213,216,219,309,311,312,314,315,317,318,319,320,321,324,326,327,328,
329,330,331,332,333,335,337,338,339,342,343,344,346,347,348,349,350,352,354,
356,358,362,363,365,366,367,369,371,374,378,380,381,382,383,385,387,389,390,
392,393,396,397,398,404,411,416,417,419,422,423,434,438,447,449,451,452,457,
462,464,466,471,472,473,475,484,491,493,499,641,648,650,651,654,655,656,657,
660,662,663,668,670,672,674,684,686,691,700,702,705,712,717,719,724,733,735,
736,739,766,768,777,784,786,788,797,801,989,992,993,1016,1017,1024,1032,1047,
1051,1065,1072,1270],[1,2,3,6,8,9,10,11,12,13,15,16,27,28,29,30,32,33,34,35,
36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,54,56,57,58,59,60,61,62,64,67,69,
105,107,111,112,113,114,115,116,117,118,119,121,124,128,130,131,132,133,134,
140,141,144,148,151,152,153,154,156,158,159,160,161,164,166,167,168,169,171,
173,180,182,183,184,185,186,187,188,190,191,192,193,194,195,196,197,198,201,
206,208,210,211,212,213,217,220,309,311,312,314,315,318,319,320,324,326,327,
328,329,330,332,333,337,338,339,340,342,344,346,348,350,352,354,356,362,363,
364,366,367,371,373,374,380,381,382,385,387,389,391,392,396,397,399,403,413,
417,419,423,426,430,432,440,447,451,452,454,457,464,466,468,481,487,490,496,
497,502,641,650,651,655,657,659,660,662,666,670,672,688,691,703,710,715,717,
722,724,727,731,741,745,773,774,781,786,790,795,798,989,992,1022,1028,1029,
1054,1064,1075,1271],[1,2,3,6,8,9,10,11,12,13,15,16,27,28,29,30,31,33,34,35,
36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,56,57,58,59,60,61,62,65,67,68,
106,108,111,112,113,114,115,116,117,118,119,120,124,129,130,131,132,133,135,
139,142,143,147,150,152,153,155,157,158,159,160,161,165,166,167,168,169,172,
174,179,181,183,184,185,186,187,188,190,191,192,193,194,195,196,197,198,201,
205,207,210,211,212,213,218,221,310,311,312,313,315,318,319,320,325,326,327,
328,329,330,331,334,337,338,339,340,341,343,345,347,349,351,353,355,361,363,
364,366,367,370,372,375,379,381,382,386,388,390,391,392,395,397,400,402,412,
418,420,424,425,431,433,439,446,450,453,455,456,463,465,467,480,488,489,495,
498,501,642,649,652,656,658,659,660,661,665,671,673,687,692,704,709,716,718,
723,724,728,732,740,744,772,775,782,785,791,794,799,990,991,1021,1027,1030,
1053,1063,1076,1272],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,27,28,29,30,33,34,35,
36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,62,63,
66,67,70,105,109,110,111,112,113,114,115,116,117,118,119,122,123,124,125,126,
127,130,131,132,133,138,145,146,149,151,152,154,158,159,160,162,163,166,169,
170,175,176,177,178,179,180,183,184,185,186,187,188,189,190,191,192,193,194,
195,196,197,198,199,200,201,202,203,204,209,210,211,212,213,214,215,216,219,
309,311,312,315,316,317,318,319,320,321,322,323,326,327,328,329,330,331,332,
333,338,339,344,348,350,352,354,357,358,359,360,363,365,366,368,369,376,378,
382,383,384,385,389,392,393,394,397,401,404,405,414,427,428,429,436,441,442,
445,458,459,460,469,470,474,476,478,479,482,483,486,492,503,641,648,653,654,
655,657,660,662,667,668,674,689,690,694,695,698,707,714,717,721,724,729,734,
747,748,764,770,778,787,792,802,989,993,1019,1026,1031,1046,1050,1068,1074,
1273],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,27,28,29,30,33,34,35,36,37,38,39,40,
41,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,62,63,66,67,70,106,
109,110,111,112,113,114,115,116,117,118,119,122,123,124,125,126,127,130,131,
132,133,138,145,146,149,150,153,155,158,159,161,162,163,167,168,170,175,176,
177,178,179,180,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,
198,199,200,201,202,203,204,209,210,211,212,213,214,215,216,219,310,311,312,
315,316,317,318,319,320,321,322,323,326,327,328,329,330,331,332,334,337,340,
343,347,349,351,353,357,358,359,360,364,365,367,368,369,376,377,381,383,384,
386,390,391,393,394,397,401,404,405,414,427,428,429,436,441,442,445,458,459,
460,469,470,473,475,477,479,482,483,485,491,503,642,647,653,654,656,658,659,
661,667,669,675,689,690,693,696,697,708,713,718,721,724,730,735,746,748,765,
771,778,787,792,802,990,994,1020,1025,1031,1045,1049,1067,1073,1274],[1,2,3,6,
8,9,10,11,12,13,14,15,16,27,28,29,30,32,33,34,35,36,38,39,40,41,42,43,45,46,
47,48,49,50,51,52,54,56,57,58,59,60,61,62,64,66,67,69,107,111,112,113,114,115,
116,117,118,119,121,124,125,128,130,131,132,133,134,140,141,144,148,151,152,
153,154,155,156,158,159,160,161,163,164,166,167,168,169,170,171,173,180,182,
183,184,185,186,187,188,190,191,192,193,194,195,196,197,198,201,206,208,210,
211,212,213,217,220,311,312,314,315,318,319,320,324,326,327,328,329,330,337,
340,342,346,352,362,364,367,373,374,380,381,382,383,385,386,387,389,390,391,
392,396,397,399,403,413,417,419,423,426,430,432,440,443,447,451,452,454,457,
464,466,468,471,472,475,490,491,493,496,502,650,659,666,668,670,680,688,691,
700,705,712,715,717,718,722,724,766,773,774,781,786,790,795,798,1014,1016,
1022,1024,1029,1275],[1,2,3,6,8,9,10,11,12,13,14,15,16,27,28,29,30,31,33,34,
35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,56,57,58,59,60,61,62,65,66,
67,68,108,111,112,113,114,115,116,117,118,119,120,124,126,129,130,131,132,133,
135,139,142,143,147,150,152,153,154,155,157,158,159,160,161,162,165,166,167,
168,169,170,172,174,179,181,183,184,185,186,187,188,190,191,192,193,194,195,
196,197,198,201,205,207,210,211,212,213,218,221,311,312,313,315,318,319,320,
325,326,327,328,329,330,338,339,341,345,351,361,363,366,372,375,379,381,382,
384,385,386,388,389,390,391,392,395,397,400,402,412,418,420,424,425,431,433,
439,443,446,450,453,455,456,463,465,467,471,472,476,489,492,494,495,501,649,
660,665,669,671,680,687,692,699,706,711,716,717,718,723,724,767,772,775,782,
785,791,794,799,1014,1015,1021,1023,1030,1276],[1,2,3,6,7,8,9,10,11,12,13,15,
16,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,54,
56,57,58,59,60,61,62,63,64,67,70,107,110,111,112,113,114,115,116,117,118,119,
121,122,124,128,130,131,132,133,136,141,144,148,151,152,153,154,155,156,158,
159,160,161,164,166,167,168,169,171,173,180,182,183,184,185,186,187,188,190,
191,192,193,194,195,196,197,198,199,201,202,206,208,210,211,212,213,216,219,
311,312,314,315,317,318,319,320,324,326,327,328,329,330,331,335,337,342,343,
346,347,349,352,362,367,374,378,380,381,382,385,386,387,389,390,391,392,396,
397,398,404,411,416,417,419,422,423,434,438,443,447,449,451,452,457,462,464,
466,473,481,484,487,490,496,497,499,648,650,656,663,670,680,684,686,691,702,
703,710,715,717,718,719,724,768,773,777,784,786,788,797,801,1014,1017,1022,
1028,1032,1277],[1,2,3,6,7,8,9,10,11,12,13,15,16,27,28,29,30,31,33,34,35,36,
37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,56,57,58,59,60,61,62,63,65,67,
70,108,109,111,112,113,114,115,116,117,118,119,120,123,124,129,130,131,132,
133,137,142,143,147,150,152,153,154,155,157,158,159,160,161,165,166,167,168,
169,172,174,179,181,183,184,185,186,187,188,190,191,192,193,194,195,196,197,
198,200,201,202,205,207,210,211,212,213,215,219,311,312,313,315,316,318,319,
320,325,326,327,328,329,330,332,336,338,341,344,345,348,350,351,361,366,375,
377,379,381,382,385,386,388,389,390,391,392,395,397,398,405,410,415,418,420,
421,424,435,437,443,446,448,450,453,456,461,463,465,474,480,484,488,489,495,
498,500,647,649,655,664,671,680,683,685,692,701,704,709,716,717,718,720,724,
769,772,776,783,785,789,796,800,1014,1018,1021,1027,1033,1278],[1,2,3,6,7,8,9,
10,11,12,13,14,15,16,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,
47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,107,108,
110,111,112,113,114,115,116,117,118,119,120,121,122,124,125,128,129,130,131,
132,133,135,136,139,141,142,143,144,147,148,149,150,151,152,155,156,157,158,
159,160,161,163,164,165,166,167,168,169,170,175,176,177,178,179,180,181,182,
183,184,185,186,187,188,190,191,192,193,194,195,196,197,198,199,201,202,203,
205,206,207,208,210,211,212,213,216,218,219,221,311,312,313,314,315,317,318,
319,320,324,325,326,327,328,329,330,331,335,337,338,339,341,342,343,345,346,
347,349,351,352,357,359,361,362,363,366,367,372,374,375,378,379,380,381,382,
383,387,388,390,392,393,397,398,400,402,404,411,412,416,417,418,419,420,422,
423,424,425,427,429,431,433,434,438,439,446,447,449,450,451,452,453,455,456,
457,459,462,463,464,465,466,467,472,474,478,479,483,486,491,492,493,499,501,
648,649,650,656,660,663,665,674,684,686,687,689,691,692,694,695,700,705,707,
714,719,723,724,726,738,743,746,750,752,755,756,764,768,775,777,782,784,785,
786,788,791,794,797,799,801,996,997,1000,1026,1030,1032,1035,1036,1038,1046,
1047,1279],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,27,28,29,30,31,32,33,34,35,36,
37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,
64,65,66,67,69,70,107,108,109,111,112,113,114,115,116,117,118,119,120,121,123,
124,126,128,129,130,131,132,133,134,137,140,141,142,143,144,147,148,149,150,
151,153,154,156,157,158,159,160,161,162,164,165,166,167,168,169,170,175,176,
177,178,179,180,181,182,183,184,185,186,187,188,190,191,192,193,194,195,196,
197,198,200,201,202,204,205,206,207,208,210,211,212,213,215,217,219,220,311,
312,313,314,315,316,318,319,320,324,325,326,327,328,329,330,332,336,337,338,
340,341,342,344,345,346,348,350,351,352,358,360,361,362,364,366,367,373,374,
375,377,379,380,381,382,384,387,388,389,391,394,397,398,399,403,405,410,413,
415,417,418,419,420,421,423,424,426,427,428,430,432,435,437,440,446,447,448,
450,451,452,453,454,456,457,458,461,463,464,465,466,468,471,473,477,479,482,
485,491,492,494,500,502,647,649,650,655,659,664,666,675,683,685,688,690,691,
692,693,696,699,706,708,713,720,722,724,725,739,742,747,751,753,755,757,765,
769,774,776,781,783,785,786,789,790,795,796,798,800,995,998,999,1025,1029,
1033,1034,1037,1039,1045,1048,1280],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,27,28,
29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,
57,58,59,60,61,62,63,64,65,66,67,69,70,107,109,110,111,112,113,114,115,116,
117,118,119,121,122,123,124,125,126,127,128,129,130,131,132,133,134,138,140,
141,144,145,146,147,148,149,151,153,156,157,158,160,161,162,163,164,167,168,
169,170,172,174,175,176,177,178,179,180,182,183,184,185,186,187,188,189,190,
191,192,193,194,195,196,197,198,199,200,201,202,203,204,206,208,209,210,211,
212,213,214,215,216,217,219,220,311,312,314,315,316,317,318,319,320,321,322,
323,324,326,327,328,329,330,336,337,340,342,346,350,352,357,358,359,360,362,
364,365,367,368,369,373,374,376,379,380,381,383,384,387,391,393,394,395,397,
399,401,403,404,405,413,414,417,419,421,423,424,426,427,428,429,430,432,436,
440,441,442,445,447,451,452,453,454,457,458,459,460,464,466,468,469,470,472,
474,475,476,477,483,484,494,502,503,650,653,654,659,666,667,669,671,685,688,
689,690,691,696,697,701,706,711,721,722,724,729,736,742,752,754,757,767,771,
774,778,781,786,787,790,792,795,798,802,998,1002,1023,1029,1031,1040,1043,
1049,1052,1281],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,27,28,29,30,31,33,34,35,
36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,
63,64,65,66,67,68,70,108,109,110,111,112,113,114,115,116,117,118,119,120,122,
123,124,125,126,127,128,129,130,131,132,133,135,138,139,142,143,145,146,147,
148,149,150,152,156,157,159,160,161,162,163,165,166,168,169,170,171,173,175,
176,177,178,179,180,181,183,184,185,186,187,188,189,190,191,192,193,194,195,
196,197,198,199,200,201,202,203,204,205,207,209,210,211,212,213,214,215,216,
218,219,221,311,312,313,315,316,317,318,319,320,321,322,323,325,326,327,328,
329,330,335,338,339,341,345,349,351,357,358,359,360,361,363,365,366,368,369,
372,375,376,379,380,382,383,384,388,392,393,394,396,397,400,401,402,404,405,
412,414,418,420,422,423,424,425,427,428,429,431,433,436,439,441,442,445,446,
450,452,453,455,456,458,459,460,463,465,467,469,470,471,473,475,476,478,482,
484,493,501,503,649,653,654,660,665,667,668,670,686,687,689,690,692,695,698,
702,705,712,721,723,724,730,737,743,753,754,756,766,770,775,778,782,785,787,
791,792,794,799,802,997,1001,1024,1030,1031,1041,1042,1050,1051,1282],[1,2,3,
6,7,8,9,10,11,12,13,15,16,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,45,
46,47,48,49,50,51,52,54,56,57,58,59,60,61,62,63,64,65,67,70,71,107,110,111,
112,113,114,115,116,117,118,119,121,122,124,128,129,130,131,132,133,136,141,
144,148,151,155,156,157,158,160,161,164,167,168,172,174,180,182,183,184,185,
186,187,188,190,191,192,193,194,195,196,197,198,199,201,202,206,208,210,211,
212,213,216,219,222,223,224,311,312,314,315,317,318,319,320,324,326,327,328,
329,330,331,335,337,342,343,346,347,349,352,362,367,374,378,379,380,381,387,
390,395,397,398,404,411,416,417,419,422,423,434,438,447,449,451,452,457,462,
464,466,480,488,498,499,504,505,506,507,508,517,648,650,656,663,671,684,686,
691,704,709,719,724,777,779,780,784,786,788,793,797,801,824,829,838,840,1027,
1032,1044,1060,1062,1283],[1,2,3,6,7,8,9,10,11,12,13,15,16,27,28,29,30,31,33,
34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,56,57,58,59,60,61,62,
63,64,65,67,70,71,108,109,111,112,113,114,115,116,117,118,119,120,123,124,128,
129,130,131,132,133,137,142,143,147,150,154,156,157,159,160,161,165,166,169,
171,173,179,181,183,184,185,186,187,188,190,191,192,193,194,195,196,197,198,
200,201,202,205,207,210,211,212,213,215,219,222,223,224,311,312,313,315,316,
318,319,320,325,326,327,328,329,330,332,336,338,341,344,345,348,350,351,361,
366,375,377,379,380,382,388,389,396,397,398,405,410,415,418,420,421,424,435,
437,446,448,450,453,456,461,463,465,481,487,497,500,504,505,506,507,508,517,
647,649,655,664,670,683,685,692,703,710,720,724,776,779,780,783,785,789,793,
796,800,825,828,839,841,1028,1033,1044,1059,1061,1284],[1,2,3,6,7,8,9,10,11,
12,13,14,15,16,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,
50,51,52,53,56,57,58,59,60,61,62,63,64,65,66,67,70,108,109,111,112,113,114,
115,116,117,118,119,120,122,123,124,125,126,128,129,130,131,132,133,137,141,
142,143,144,145,146,147,150,151,154,156,157,158,159,160,161,162,163,165,166,
167,169,170,171,173,177,178,179,181,183,184,185,186,187,188,190,191,192,193,
194,195,196,197,198,200,201,202,205,207,210,211,212,213,215,219,311,312,313,
315,316,318,319,320,325,326,327,328,329,330,332,336,338,341,344,345,348,350,
351,361,366,375,377,378,379,380,381,382,383,384,388,389,393,396,397,398,405,
410,411,414,415,418,420,421,424,435,437,446,448,450,453,456,461,462,463,465,
466,469,471,475,478,483,486,492,493,500,647,649,655,664,668,670,674,683,685,
692,694,695,697,699,705,712,714,719,720,721,724,764,766,768,770,776,783,785,
789,796,800,804,1012,1024,1026,1033,1038,1041,1065,1068,1081,1285],[1,2,3,6,7,
8,9,10,11,12,13,14,15,16,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,45,
46,47,48,49,50,51,52,54,56,57,58,59,60,61,62,63,64,65,66,67,70,107,110,111,
112,113,114,115,116,117,118,119,121,122,123,124,125,126,128,129,130,131,132,
133,136,141,142,143,144,145,146,148,150,151,155,156,157,158,159,160,161,162,
163,164,166,167,168,170,172,174,176,178,180,182,183,184,185,186,187,188,190,
191,192,193,194,195,196,197,198,199,201,202,206,208,210,211,212,213,216,219,
311,312,314,315,317,318,319,320,324,326,327,328,329,330,331,335,337,342,343,
346,347,349,352,362,367,374,377,378,379,380,381,382,383,384,387,390,394,395,
397,398,404,410,411,414,416,417,419,422,423,434,438,447,449,451,452,457,461,
462,464,465,466,469,472,476,477,482,485,491,494,499,648,650,656,663,669,671,
675,684,686,691,693,696,698,700,706,711,713,719,720,721,724,765,767,769,771,
777,784,786,788,797,801,803,1011,1023,1025,1032,1039,1040,1066,1067,1082,
1286],[1,2,3,6,8,9,10,11,12,13,14,15,16,27,28,29,30,33,34,35,36,38,39,40,41,
42,43,45,46,47,48,49,50,51,52,56,57,58,59,60,61,62,63,66,67,71,106,111,112,
113,114,115,116,117,118,119,122,124,125,130,131,132,133,151,153,155,158,161,
163,167,168,170,177,178,183,184,185,186,187,188,190,191,192,193,194,195,196,
197,198,201,210,211,212,213,222,223,224,310,311,312,315,318,319,320,326,327,
328,329,330,331,334,337,340,343,347,349,353,364,367,378,381,383,386,390,391,
393,397,478,483,486,492,504,505,506,507,508,517,642,656,658,659,661,674,694,
695,714,718,724,779,780,793,819,820,822,827,990,1026,1044,1077,1079,1287],[1,
2,3,6,8,9,10,11,12,13,14,15,16,27,28,29,30,33,34,35,36,38,39,40,41,42,43,45,
46,47,48,49,50,51,52,56,57,58,59,60,61,62,63,66,67,71,105,111,112,113,114,115,
116,117,118,119,123,124,126,130,131,132,133,150,152,154,159,160,162,166,169,
170,176,178,183,184,185,186,187,188,190,191,192,193,194,195,196,197,198,201,
210,211,212,213,222,223,224,309,311,312,315,318,319,320,326,327,328,329,330,
332,333,338,339,344,348,350,354,363,366,377,382,384,385,389,392,394,397,477,
482,485,491,504,505,506,507,508,517,641,655,657,660,662,675,693,696,713,717,
724,779,780,793,818,821,823,826,989,1025,1044,1078,1080,1288],[1,2,3,6,8,9,10,
11,12,13,14,15,16,27,28,29,30,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,
51,52,56,57,58,59,60,61,62,63,64,65,66,67,111,112,113,114,115,116,117,118,119,
123,124,125,126,128,129,130,131,132,133,150,156,157,159,160,161,162,163,170,
171,172,173,174,176,178,183,184,185,186,187,188,190,191,192,193,194,195,196,
197,198,201,210,211,212,213,311,312,315,318,319,320,326,327,328,329,330,377,
379,380,383,384,394,395,396,397,471,475,477,480,482,485,488,491,493,498,668,
670,671,675,693,696,704,705,709,712,713,724,1024,1025,1027,1289],[1,2,3,6,8,9,
10,11,12,13,14,15,16,27,28,29,30,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,
50,51,52,56,57,58,59,60,61,62,63,64,65,66,67,111,112,113,114,115,116,117,118,
119,122,124,125,126,128,129,130,131,132,133,151,156,157,158,160,161,162,163,
170,171,172,173,174,177,178,183,184,185,186,187,188,190,191,192,193,194,195,
196,197,198,201,210,211,212,213,311,312,315,318,319,320,326,327,328,329,330,
378,379,380,383,384,393,395,396,397,472,476,478,481,483,486,487,492,494,497,
669,670,671,674,694,695,703,706,710,711,714,724,1023,1026,1028,1290],[1,2,3,6,
7,8,9,10,11,12,13,14,15,16,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,
44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,70,
107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,
126,127,128,129,130,131,132,133,136,137,138,141,142,143,144,145,146,147,148,
149,150,151,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,
170,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,
193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,
212,213,214,215,216,219,311,312,313,314,315,316,317,318,319,320,321,322,323,
324,325,326,327,328,329,330,331,332,335,336,337,338,341,342,343,344,345,346,
347,348,349,350,351,352,357,358,359,360,361,362,365,366,367,368,369,374,375,
376,377,378,379,380,381,382,383,384,387,388,389,390,393,394,397,398,401,404,
405,410,411,414,415,416,417,418,419,420,421,422,423,424,427,428,429,434,435,
436,437,438,441,442,444,445,446,447,448,449,450,451,452,453,456,457,458,459,
460,461,462,463,464,465,466,469,470,471,472,473,474,475,476,479,482,483,484,
491,492,499,500,503,647,648,649,650,653,654,655,656,663,664,667,683,684,685,
686,689,690,691,692,697,698,699,700,701,702,707,708,711,712,713,714,719,720,
721,724,729,730,733,734,735,736,737,738,739,746,747,748,749,752,753,754,755,
776,777,778,783,784,785,786,787,788,789,792,796,797,800,801,802,803,804,805,
988,999,1000,1001,1002,1011,1012,1013,1031,1032,1033,1071,1072,1073,1074,1093,
1103,1291],[1,2,3,6,8,9,10,11,12,13,14,15,16,27,28,29,30,33,34,35,36,38,39,40,
41,42,43,45,46,47,48,49,50,51,52,56,57,58,59,60,61,62,63,66,67,111,112,113,
114,115,116,117,118,119,122,123,124,125,126,130,131,132,133,150,151,152,153,
154,155,158,159,160,161,162,163,166,167,168,169,170,176,177,178,183,184,185,
186,187,188,190,191,192,193,194,195,196,197,198,201,210,211,212,213,311,312,
315,318,319,320,326,327,328,329,330,377,378,381,382,383,384,385,386,389,390,
391,392,393,394,397,443,477,478,482,483,485,486,491,492,674,675,680,693,694,
695,696,713,714,717,718,724,1014,1025,1026,1292],[1,2,3,6,8,9,10,11,12,13,14,
15,16,27,28,29,30,31,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,
56,57,58,59,60,61,62,63,64,65,66,67,68,108,111,112,113,114,115,116,117,118,
119,120,123,124,126,128,129,130,131,132,133,135,139,142,143,147,150,152,156,
157,159,160,161,162,165,166,169,170,171,173,176,178,179,181,183,184,185,186,
187,188,190,191,192,193,194,195,196,197,198,201,205,207,210,211,212,213,218,
221,311,312,313,315,318,319,320,325,326,327,328,329,330,338,339,341,345,351,
361,363,366,372,375,377,379,380,382,384,388,392,394,396,397,400,402,412,418,
420,424,425,431,433,439,446,450,453,455,456,463,465,467,477,481,482,485,487,
491,497,501,649,660,665,670,675,687,692,693,696,703,710,713,723,724,775,782,
785,791,794,799,832,834,843,845,1025,1028,1030,1084,1086,1293],[1,2,3,6,8,9,
10,11,12,13,14,15,16,27,28,29,30,32,33,34,35,36,38,39,40,41,42,43,45,46,47,48,
49,50,51,52,54,56,57,58,59,60,61,62,63,64,65,66,67,69,107,111,112,113,114,115,
116,117,118,119,121,122,124,125,128,129,130,131,132,133,134,140,141,144,148,
151,153,156,157,158,160,161,163,164,167,168,170,172,174,177,178,180,182,183,
184,185,186,187,188,190,191,192,193,194,195,196,197,198,201,206,208,210,211,
212,213,217,220,311,312,314,315,318,319,320,324,326,327,328,329,330,337,340,
342,346,352,362,364,367,373,374,378,379,380,381,383,387,391,393,395,397,399,
403,413,417,419,423,426,430,432,440,447,451,452,454,457,464,466,468,478,480,
483,486,488,492,498,502,650,659,666,671,674,688,691,694,695,704,709,714,722,
724,774,781,786,790,795,798,833,835,842,844,1026,1027,1029,1083,1085,1294],[1,
2,3,6,7,8,9,10,11,12,13,14,15,16,27,28,29,30,33,34,35,36,37,38,39,40,41,42,43,
44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,62,63,64,65,66,67,70,109,110,
111,112,113,114,115,116,117,118,119,122,123,124,125,126,127,128,129,130,131,
132,133,138,145,146,149,156,157,160,161,162,163,170,171,172,173,174,175,176,
177,178,179,180,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,
198,199,200,201,202,203,204,209,210,211,212,213,214,215,216,219,311,312,315,
316,317,318,319,320,321,322,323,326,327,328,329,330,357,358,359,360,365,368,
369,376,379,380,383,384,393,394,395,396,397,401,404,405,414,427,428,429,436,
441,442,445,458,459,460,469,470,480,481,487,488,497,498,503,653,654,667,670,
671,689,690,703,704,709,710,721,724,778,787,792,802,836,846,1027,1028,1031,
1087,1295],[1,2,3,6,8,9,10,11,12,13,15,16,27,28,29,30,31,32,33,34,35,36,38,39,
40,41,42,43,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,64,65,67,68,69,
71,107,108,111,112,113,114,115,116,117,118,119,120,121,124,128,129,130,131,
132,133,134,135,139,140,141,142,143,144,147,148,150,151,152,153,156,157,158,
159,160,161,164,165,166,167,168,169,179,180,181,182,183,184,185,186,187,188,
190,191,192,193,194,195,196,197,198,201,205,206,207,208,210,211,212,213,217,
218,220,221,222,223,224,225,226,227,228,311,312,313,314,315,318,319,320,324,
325,326,327,328,329,330,337,338,339,340,341,342,345,346,351,352,361,362,363,
364,366,367,372,373,374,375,379,380,381,382,387,388,391,392,397,399,400,402,
403,412,413,417,418,419,420,423,424,425,426,430,431,432,433,439,440,446,447,
450,451,452,453,454,455,456,457,463,464,465,466,467,468,501,502,504,505,506,
507,508,509,510,511,512,513,514,515,516,517,518,649,650,659,660,665,666,687,
688,691,692,722,723,724,774,775,779,780,781,782,785,786,790,791,793,794,795,
798,799,806,807,808,809,814,815,816,817,830,831,837,847,1029,1030,1044,1055,
1056,1069,1070,1098,1296],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,27,28,29,30,33,
34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,
62,63,66,67,70,71,109,110,111,112,113,114,115,116,117,118,119,122,123,124,125,
126,127,130,131,132,133,138,145,146,149,152,153,154,155,158,159,160,161,162,
163,166,167,168,169,170,175,176,177,178,179,180,183,184,185,186,187,188,189,
190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,209,210,211,212,
213,214,215,216,219,222,223,224,311,312,315,316,317,318,319,320,321,322,323,
326,327,328,329,330,357,358,359,360,365,368,369,376,381,382,383,384,385,386,
389,390,391,392,393,394,397,401,404,405,414,427,428,429,436,441,442,443,445,
458,459,460,469,470,503,504,505,506,507,508,517,653,654,667,680,689,690,717,
718,721,724,778,779,780,787,792,793,802,848,849,1014,1031,1044,1088,1297],[1,
2,3,6,8,9,10,11,12,13,14,15,16,27,28,29,30,33,34,35,36,38,39,40,41,42,43,45,
46,47,48,49,50,51,52,56,57,58,59,60,61,62,64,65,66,67,71,111,112,113,114,115,
116,117,118,119,124,125,126,128,129,130,131,132,133,156,157,160,161,162,163,
170,171,172,173,174,183,184,185,186,187,188,190,191,192,193,194,195,196,197,
198,201,210,211,212,213,222,223,224,311,312,315,318,319,320,326,327,328,329,
330,379,380,383,384,395,396,397,471,472,475,476,493,494,504,505,506,507,508,
517,668,669,670,671,705,706,711,712,724,779,780,793,1023,1024,1044,1298],[1,2,
3,8,9,10,11,12,13,15,16,27,28,29,31,32,33,34,36,38,39,40,41,42,43,45,46,47,48,
49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,106,107,108,
112,114,115,118,121,122,124,128,129,130,132,134,135,136,140,141,144,148,151,
153,155,156,158,161,164,167,168,172,174,180,181,182,183,185,187,190,192,194,
195,196,197,198,205,206,207,208,210,211,212,213,216,217,218,219,220,221,222,
223,224,225,226,227,228,310,314,319,320,324,325,326,329,334,340,342,343,346,
347,349,352,353,355,362,364,367,370,373,374,378,386,387,390,391,395,400,402,
406,408,411,413,416,417,419,422,426,430,432,434,438,439,440,447,449,451,452,
454,457,462,464,466,468,480,486,488,489,495,499,502,505,506,508,510,511,513,
514,515,516,518,646,652,658,661,665,677,679,684,688,694,704,716,726,728,732,
740,744,750,758,760,774,777,779,781,786,797,798,801,807,809,810,813,814,817,
820,822,829,830,833,837,838,844,996,1010,1056,1060,1076,1079,1083,1091,1097,
1099,1106,1299],[1,2,3,8,9,10,11,12,13,15,16,27,28,30,31,32,33,34,36,38,39,40,
41,42,43,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,67,68,69,
70,71,105,107,108,113,114,115,119,120,123,124,128,129,130,131,134,135,137,139,
142,143,147,150,152,154,157,159,160,165,166,169,171,173,179,181,182,184,186,
188,191,192,193,195,196,197,198,205,206,207,208,210,211,212,213,215,217,218,
219,220,221,222,223,224,225,226,227,228,309,313,318,320,324,325,327,328,333,
339,341,344,345,348,350,351,354,356,361,363,366,371,372,375,377,385,388,389,
392,396,399,403,407,409,410,412,415,418,420,421,425,431,433,435,437,439,440,
446,448,450,453,455,456,461,463,465,467,481,485,487,490,496,500,501,504,507,
508,509,512,513,514,515,516,518,645,651,657,662,666,676,678,683,687,693,703,
715,725,727,731,741,745,751,759,761,775,776,780,782,785,796,799,800,806,808,
811,812,815,816,821,823,828,831,832,837,839,845,995,1009,1055,1059,1075,1080,
1084,1092,1096,1100,1107,1300],[1,2,3,7,8,9,10,11,12,13,14,15,16,27,28,30,32,
33,36,37,38,40,42,43,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,63,64,65,66,
67,68,69,71,105,107,109,113,115,119,123,126,128,129,130,131,134,135,139,142,
143,147,149,152,154,157,160,162,165,166,169,170,171,173,175,177,179,181,182,
184,188,191,193,195,197,198,200,202,204,206,208,210,213,217,218,220,221,222,
223,224,225,226,227,228,309,316,318,324,328,333,336,339,348,350,354,356,358,
360,361,363,371,372,375,379,384,385,392,396,399,403,407,409,412,421,424,425,
427,428,431,433,439,440,448,453,455,456,458,461,467,477,481,487,490,494,496,
501,504,507,508,509,512,513,514,515,516,518,644,651,662,666,678,685,690,696,
703,706,715,727,731,741,742,745,757,763,775,780,783,794,806,808,812,815,816,
818,825,826,831,834,837,841,843,998,1008,1055,1061,1075,1078,1086,1089,1094,
1102,1105,1301],[1,2,3,7,8,9,10,11,12,13,14,15,16,27,28,29,31,34,36,37,39,41,
42,43,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,63,64,65,66,67,68,69,71,
106,108,110,112,114,118,122,125,128,129,130,132,134,135,140,141,144,148,149,
153,155,156,161,163,164,167,168,170,172,174,175,176,180,181,182,183,187,190,
194,196,197,198,199,202,203,205,207,211,213,217,218,220,221,222,223,224,225,
226,227,228,310,317,319,325,329,334,335,340,347,349,353,355,357,359,362,364,
370,373,374,380,383,386,391,395,400,402,406,408,413,422,423,426,427,429,430,
432,439,440,449,452,454,457,459,462,468,478,480,488,489,493,495,502,505,506,
508,510,511,513,514,515,516,518,643,652,661,665,679,686,689,695,704,705,716,
728,732,740,743,744,756,762,774,779,784,795,807,809,813,814,817,819,824,827,
830,835,837,840,842,997,1007,1056,1062,1076,1077,1085,1090,1095,1101,1104,
1302],[1,2,3,8,9,10,11,12,13,14,15,16,27,28,30,31,33,34,36,38,39,40,41,42,43,
45,46,47,48,49,50,51,52,53,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,105,
108,113,114,115,119,120,121,123,124,126,128,129,130,131,132,135,137,139,140,
141,142,143,147,148,150,152,154,157,158,159,160,161,162,164,165,166,167,169,
170,171,173,179,181,184,186,188,191,192,193,195,196,197,198,205,207,210,211,
212,213,215,218,219,221,222,223,224,309,313,318,320,325,327,328,333,339,341,
344,345,348,350,351,354,361,363,366,372,375,377,381,384,385,387,388,389,392,
396,407,409,410,412,413,415,418,420,421,425,431,433,435,437,439,446,448,450,
453,455,456,461,463,464,465,467,468,471,477,481,487,492,500,501,504,507,508,
510,511,645,657,662,672,676,678,683,687,696,699,703,722,759,761,765,773,775,
776,780,782,785,796,799,800,811,812,818,826,828,830,834,839,843,847,1009,1034,
1059,1064,1069,1078,1086,1303],[1,2,3,8,9,10,11,12,13,14,15,16,27,28,29,32,33,
34,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,54,56,57,58,59,60,61,62,63,64,
65,66,67,69,70,71,106,107,112,114,115,118,120,121,122,124,125,128,129,130,131,
132,134,136,139,140,141,142,144,147,148,151,153,155,156,158,159,160,161,163,
164,165,166,167,168,170,172,174,180,182,183,185,187,190,192,194,195,196,197,
198,206,208,210,211,212,213,216,217,219,220,222,223,224,310,314,319,320,324,
326,329,334,340,342,343,346,347,349,352,353,362,364,367,373,374,378,382,383,
386,387,388,390,391,395,406,408,411,412,413,416,417,419,422,426,430,432,434,
438,440,447,449,451,452,454,457,462,463,464,466,467,468,472,478,480,488,491,
499,502,505,506,508,509,512,646,658,661,673,677,679,684,688,695,700,704,723,
758,760,764,772,774,777,779,781,786,797,798,801,810,813,819,827,829,831,835,
838,842,847,1010,1035,1060,1063,1070,1077,1085,1304],[1,2,3,7,8,9,10,11,12,13,
15,16,27,28,29,34,36,37,39,41,42,43,46,47,48,49,50,51,52,54,56,57,58,59,60,61,
63,64,65,67,69,71,106,110,112,114,118,120,122,128,129,130,131,132,134,139,140,
141,142,144,147,148,151,153,155,156,158,159,160,161,164,165,166,167,168,172,
174,180,182,183,187,190,194,196,197,198,199,202,211,213,217,220,222,223,224,
310,317,319,329,334,335,340,347,349,353,362,364,373,374,378,380,382,386,388,
391,395,406,408,412,413,422,423,426,430,432,440,449,452,454,457,462,463,467,
468,474,479,480,486,488,502,505,506,508,509,512,643,661,673,679,686,694,704,
707,723,762,768,772,774,779,784,795,813,820,822,824,831,833,840,844,847,1007,
1036,1062,1063,1070,1079,1083,1305],[1,2,3,7,8,9,10,11,12,13,15,16,27,28,30,
33,36,37,38,40,42,43,46,47,48,49,50,51,52,53,56,57,58,59,60,61,63,64,65,67,68,
71,105,109,113,115,119,121,123,128,129,130,131,132,135,139,140,141,142,143,
147,148,150,152,154,157,158,159,160,161,164,165,166,167,169,171,173,179,181,
184,188,191,193,195,197,198,200,202,210,213,218,221,222,223,224,309,316,318,
328,333,336,339,348,350,354,361,363,372,375,377,379,381,385,387,392,396,407,
409,412,413,421,424,425,431,433,439,448,453,455,456,461,464,467,468,473,479,
481,485,487,501,504,507,508,510,511,644,662,672,678,685,693,703,708,722,763,
769,773,775,780,783,794,812,821,823,825,830,832,841,845,847,1008,1037,1061,
1064,1069,1080,1084,1306],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,27,28,29,30,31,
33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,
59,60,61,62,63,64,65,66,67,69,70,108,109,111,112,113,114,115,116,118,120,121,
122,123,124,125,126,128,129,130,131,132,133,134,136,137,140,141,143,144,145,
146,148,149,150,151,153,154,155,156,157,158,159,160,161,162,163,164,165,166,
167,168,170,175,176,177,178,179,180,181,182,183,184,185,186,187,188,190,191,
193,195,196,197,198,200,201,202,203,204,205,207,209,210,211,212,213,215,216,
217,219,220,312,313,315,316,318,322,325,326,329,331,337,338,340,341,343,344,
345,346,347,349,352,357,358,360,361,362,364,365,367,368,377,378,379,380,381,
383,384,386,387,388,390,391,394,397,398,405,406,408,411,413,414,415,416,417,
418,419,422,423,426,427,428,430,432,434,437,438,440,447,448,449,451,452,454,
457,458,462,464,466,468,469,471,472,473,474,475,476,477,479,482,483,484,491,
492,494,499,502,649,653,656,659,664,669,675,682,683,690,691,696,697,699,701,
706,708,711,712,713,714,718,719,721,722,733,734,737,738,739,747,753,755,758,
760,762,765,767,769,771,788,790,795,797,798,801,804,810,813,999,1004,1006,
1012,1015,1020,1034,1040,1043,1048,1049,1057,1067,1071,1082,1307],[1,2,3,6,7,
8,9,10,11,12,13,14,15,16,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,
45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,
107,110,111,112,113,114,115,117,119,120,121,122,123,124,125,126,128,129,130,
131,132,133,135,136,137,139,142,143,144,145,146,147,149,150,151,152,154,155,
156,157,158,159,160,161,162,163,164,165,166,167,169,170,175,176,177,178,179,
180,181,182,183,184,185,186,187,188,190,191,194,195,196,197,198,199,201,202,
203,204,206,208,209,210,211,212,213,215,216,218,219,221,311,314,315,317,319,
321,324,327,328,332,337,338,339,342,343,344,345,346,348,350,351,357,358,359,
361,362,363,365,366,369,377,378,379,380,382,383,384,385,387,388,389,392,393,
397,398,404,407,409,410,412,414,415,416,417,418,420,421,424,425,427,429,431,
433,435,437,438,439,446,448,449,450,453,455,456,459,461,463,465,467,469,471,
472,473,474,475,476,478,479,482,483,484,491,492,493,500,501,650,654,655,660,
663,668,674,681,684,689,692,695,698,700,702,705,707,711,712,713,714,717,720,
721,723,733,735,736,738,739,746,752,755,759,761,763,764,766,768,770,789,791,
794,796,799,800,803,811,812,1000,1003,1005,1011,1016,1019,1035,1041,1042,1047,
1050,1058,1068,1072,1081,1308],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,27,28,29,
30,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,
59,60,61,62,63,64,65,66,67,69,70,109,110,111,112,113,114,115,116,118,121,122,
123,124,126,127,128,129,130,131,132,133,134,136,138,140,141,142,143,144,147,
148,149,150,151,153,155,156,157,158,159,160,161,162,164,166,167,168,169,170,
172,174,175,176,177,178,179,180,182,183,184,185,186,187,188,189,190,191,193,
196,198,199,200,201,202,203,204,209,210,211,212,213,214,215,216,217,219,220,
312,315,316,317,318,322,323,326,329,331,332,336,337,340,343,346,347,349,350,
351,352,357,358,360,362,364,365,367,368,377,378,379,380,381,382,384,386,387,
390,391,394,395,397,401,404,405,406,408,410,411,413,416,417,419,421,422,423,
424,426,427,428,430,432,434,438,440,441,442,447,449,451,452,453,454,457,458,
461,462,464,465,466,468,472,473,474,475,476,479,482,483,484,485,491,494,499,
502,647,653,656,659,667,671,675,682,685,690,691,693,697,701,702,706,707,708,
711,713,718,719,720,722,729,730,735,736,746,748,752,754,758,760,762,765,767,
769,771,788,790,795,797,798,801,805,810,813,1002,1006,1013,1018,1020,1037,
1039,1043,1045,1052,1057,1066,1073,1082,1309],[1,2,3,6,7,8,9,10,11,12,13,14,
15,16,27,28,29,30,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,
53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,109,110,111,112,113,114,115,
117,119,120,122,123,124,125,127,128,129,130,131,132,133,135,137,138,139,141,
142,143,144,147,148,149,150,151,152,154,156,157,158,159,160,161,163,165,166,
167,168,169,170,171,173,175,176,177,178,179,180,181,183,184,185,186,187,188,
189,190,191,194,195,197,199,200,201,202,203,204,209,210,211,212,213,214,215,
216,218,219,221,311,315,316,317,319,321,323,327,328,331,332,335,338,339,344,
345,348,349,350,351,352,357,358,359,361,363,365,366,369,377,378,379,380,381,
382,383,385,388,389,392,393,396,397,401,404,405,407,409,410,411,412,415,418,
420,421,422,423,424,425,427,429,431,433,435,437,439,441,442,446,448,450,452,
453,455,456,459,461,462,463,465,466,467,471,473,474,475,476,479,482,483,484,
486,492,493,500,501,648,654,655,660,667,670,674,681,686,689,692,694,698,701,
702,705,707,708,712,714,717,719,720,723,729,730,734,737,747,748,753,754,759,
761,763,764,766,768,770,789,791,794,796,799,800,805,811,812,1001,1005,1013,
1017,1019,1036,1038,1042,1046,1051,1058,1065,1074,1081,1310],[1,2,3,4,6,12,13,
15,16,19,20,22,35,61,62,67,72,87,92,95,133,230,231,233,284,443,520,521,522,
528,529,851,852,853,854,1114,1311],[1,2,3,4,6,8,9,12,13,15,19,22,29,35,36,46,
47,58,72,80,81,82,87,111,158,187,234,253,271,281,331,523,545,546,557,886,918,
1111,1312],[1,2,3,4,6,8,9,12,13,15,19,22,30,35,36,46,48,57,72,80,81,82,87,111,
159,188,234,254,270,281,332,523,545,546,557,885,919,1111,1313],[1,2,3,4,5,8,
11,12,16,18,22,23,29,34,51,60,73,81,83,86,89,106,153,183,235,255,271,283,334,
526,544,548,556,887,924,1113,1314],[1,2,3,4,5,9,10,12,16,18,22,23,30,33,52,59,
73,82,84,85,90,105,152,184,235,256,270,282,333,527,543,547,555,888,925,1112,
1315],[1,3,4,5,9,10,16,20,23,32,33,50,54,64,73,82,84,85,90,105,173,206,236,
266,280,282,356,527,543,547,555,893,921,1112,1316],[1,3,4,5,8,11,16,20,23,31,
34,49,53,65,73,81,83,86,89,106,174,205,236,267,279,283,355,526,544,548,556,
894,920,1113,1317],[1,2,3,4,6,7,8,9,12,13,14,15,19,22,35,36,37,44,47,48,55,63,
66,72,80,81,82,87,91,97,111,170,178,202,209,230,253,254,261,281,288,365,523,
545,546,557,581,608,855,897,898,949,1111,1318],[1,2,3,4,5,7,8,11,12,13,14,16,
20,21,22,23,29,37,39,49,51,55,61,66,73,77,79,81,83,88,89,93,95,97,98,110,163,
175,194,203,232,257,258,267,269,271,272,290,291,359,525,526,550,552,553,573,
575,601,605,856,857,899,939,945,1109,1319],[1,2,3,4,5,7,9,10,12,13,14,16,20,
21,22,23,30,37,38,50,52,55,61,66,73,77,79,82,84,88,90,94,95,97,98,109,162,175,
193,204,232,257,258,266,268,270,272,289,291,360,525,527,549,551,554,574,576,
602,605,856,858,900,940,946,1110,1320],[1,3,4,5,9,10,16,20,21,23,32,33,50,54,
64,73,82,84,85,90,94,98,105,173,206,232,265,266,268,282,289,356,527,543,547,
555,588,606,858,893,896,951,1112,1321],[1,3,4,5,8,11,16,20,21,23,31,34,49,53,
65,73,81,83,86,89,93,98,106,174,205,232,264,267,269,283,290,355,526,544,548,
556,589,607,857,894,895,950,1113,1322],[1,2,3,4,6,12,13,15,16,19,20,22,35,61,
62,67,71,72,87,92,95,133,222,230,231,233,284,517,520,521,522,528,529,851,852,
853,854,872,1114,1119,1323],[1,2,3,4,5,7,8,9,12,15,19,20,22,23,29,30,37,45,46,
47,48,62,63,73,77,79,81,83,88,89,90,91,92,99,109,110,127,189,199,200,201,236,
252,254,271,272,287,295,323,525,526,550,552,553,554,567,569,598,864,871,911,
954,1109,1324],[1,2,3,4,5,7,8,9,12,15,19,20,22,23,29,30,37,45,46,47,48,62,63,
73,77,79,82,84,88,89,90,91,92,99,109,110,127,189,199,200,201,236,251,253,270,
272,287,295,323,525,527,549,551,553,554,566,570,598,864,870,910,954,1110,
1325],[1,2,3,4,5,6,7,9,11,12,13,14,18,21,22,23,30,35,37,39,41,43,44,55,66,73,
77,79,82,84,87,88,90,93,96,100,109,116,126,203,209,235,249,257,270,272,277,
285,296,322,525,527,549,551,554,558,568,575,597,863,867,908,952,1110,1326],[1,
2,3,4,5,6,7,8,10,12,13,14,18,21,22,23,29,35,37,38,40,42,44,55,66,73,77,79,81,
83,87,88,89,94,96,100,110,117,125,204,209,235,249,257,271,272,278,286,296,321,
525,526,550,552,553,559,568,576,596,862,867,909,953,1109,1327],[1,2,3,4,6,7,
12,13,14,15,16,19,20,22,35,37,44,46,55,61,62,66,67,72,87,88,91,92,95,97,100,
133,146,175,189,209,230,231,233,234,284,287,288,291,296,297,299,445,520,521,
522,528,529,530,531,533,534,618,851,852,853,854,859,860,865,866,873,1114,1115,
1116,1117,1118,1328],[1,3,5,23,24,101,244,542,620,964,1125,1329],[1,3,5,23,24,
26,101,103,244,246,539,542,622,965,1127,1330],[1,2,4,6,17,19,74,76,80,104,237,
301,306,624,631,635,1331],[1,3,5,15,17,23,75,99,239,301,623,874,966,1130,
1332],[1,2,3,6,8,9,11,12,13,17,28,30,34,35,36,39,41,43,76,106,111,113,114,116,
118,237,310,312,642,875,1136,1333],[1,2,3,6,8,9,10,12,13,17,27,29,33,35,36,38,
40,42,76,105,111,112,115,117,119,237,309,311,641,876,1135,1334],[1,2,3,8,9,10,
11,12,13,15,16,17,27,28,33,34,36,38,39,40,41,43,45,48,49,50,52,56,57,58,60,62,
67,75,76,106,114,115,118,124,132,153,155,158,167,168,185,190,192,195,196,198,
210,212,241,310,320,326,343,353,364,367,386,390,658,875,1134,1136,1335],[1,2,
3,8,9,10,11,12,13,15,16,17,27,28,33,34,36,38,39,40,41,42,45,47,49,50,51,56,57,
58,59,62,67,75,76,105,114,115,119,124,131,152,154,159,166,169,186,191,192,195,
196,197,211,212,241,309,320,327,344,354,363,366,385,389,657,876,1133,1135,
1336],[1,2,3,8,9,10,11,12,13,15,16,17,27,28,29,34,36,39,41,42,43,46,47,49,50,
51,52,56,58,59,60,61,67,74,75,76,106,112,114,118,130,132,153,155,161,167,168,
183,187,190,194,196,197,198,211,213,240,310,319,329,334,340,347,349,353,364,
386,391,661,875,1132,1134,1136,1337],[1,2,3,8,9,10,11,12,13,15,16,17,27,28,30,
33,36,38,40,42,43,46,48,49,50,51,52,56,57,59,60,61,67,74,75,76,105,113,115,
119,130,131,152,154,160,166,169,184,188,191,193,195,197,198,210,213,240,309,
318,328,333,339,348,350,354,363,385,392,662,876,1131,1133,1135,1338],[1,3,8,
10,11,15,16,17,27,34,49,56,58,60,71,75,106,151,155,168,190,196,224,239,353,
486,505,822,875,1134,1339],[1,3,9,10,11,15,16,17,28,33,50,56,57,59,71,75,105,
150,154,169,191,195,223,239,354,485,504,823,876,1133,1340],[1,2,3,8,11,12,14,
16,17,29,34,51,60,66,71,74,106,153,163,183,224,238,334,478,506,819,875,1132,
1341],[1,2,3,9,10,12,14,16,17,30,33,52,59,66,71,74,105,152,162,184,223,238,
333,477,507,818,876,1131,1342],[1,2,3,4,8,9,12,15,19,20,22,25,29,30,45,46,47,
48,62,81,82,92,102,201,242,251,252,253,254,270,271,538,569,570,1137,1343],[1,
2,3,4,8,9,10,11,13,15,16,20,22,25,40,41,45,49,50,56,67,81,82,95,102,212,242,
251,252,266,267,277,278,538,584,585,1137,1344],[1,3,5,9,10,16,21,23,26,32,33,
50,54,64,84,85,94,103,206,246,260,265,268,280,282,539,583,588,1140,1345],[1,3,
5,8,11,16,21,23,26,31,34,49,53,65,83,86,93,103,205,246,259,264,269,279,283,
539,582,589,1141,1346],[1,2,3,5,10,11,12,13,15,16,18,21,23,26,42,43,46,51,52,
56,67,85,86,96,103,213,246,255,256,262,263,275,276,539,594,595,1139,1347],[1,
3,5,16,23,26,68,69,71,98,103,228,246,293,294,539,609,610,1348],[1,3,5,9,11,23,
26,28,31,86,90,103,108,246,274,279,539,563,628,974,1144,1349],[1,3,5,8,10,23,
26,27,32,85,89,103,107,246,273,280,539,562,629,973,1145,1350],[1,24,25,26,620,
621,622,1351],[1,3,4,8,9,15,17,20,45,72,75,81,82,231,251,252,529,632,633,
1352],[1,2,4,6,7,14,17,19,22,44,72,74,80,87,88,91,100,104,233,234,238,261,296,
307,523,533,631,637,869,975,1147,1353],[1,2,4,6,7,14,17,19,22,44,72,74,80,87,
91,97,104,230,234,238,261,288,307,523,530,631,636,855,975,1147,1354],[1,2,3,4,
5,7,13,14,17,18,20,21,22,23,55,73,74,77,79,88,95,96,97,104,232,235,236,238,
257,258,291,307,525,532,634,636,856,978,1148,1355],[1,2,3,4,6,12,13,17,19,20,
22,35,72,74,75,76,80,87,92,95,104,231,234,240,281,284,306,307,308,523,531,631,
638,861,979,1147,1356],[1,2,3,4,6,8,9,11,12,13,15,16,20,28,30,31,34,35,36,39,
41,43,45,47,49,51,53,57,59,65,80,81,106,108,111,113,114,116,118,120,129,157,
160,165,166,172,174,179,181,186,197,205,207,252,267,310,312,313,325,338,345,
355,361,370,379,388,395,544,546,642,649,652,671,673,889,894,991,1150,1357],[1,
2,3,4,6,8,9,10,12,13,15,16,20,27,29,32,33,35,36,38,40,42,45,48,50,52,54,58,60,
64,80,82,105,107,111,112,115,117,119,121,128,156,161,164,167,171,173,180,182,
185,198,206,208,251,266,309,311,314,324,337,346,356,362,371,380,387,396,543,
545,641,650,651,670,672,890,893,992,1149,1358],[1,2,3,4,6,7,8,9,11,12,13,14,
15,19,28,30,34,35,36,37,39,41,43,44,46,47,48,55,57,63,66,80,81,106,109,111,
113,114,116,118,123,126,150,159,162,170,176,178,179,188,200,202,203,209,254,
261,310,312,316,322,332,351,357,365,368,377,384,394,544,546,642,647,653,669,
675,885,898,994,1150,1359],[1,2,3,4,6,7,8,9,10,12,13,14,15,19,27,29,33,35,36,
37,38,40,42,44,46,47,48,55,58,63,66,80,82,105,110,111,112,115,117,119,122,125,
151,158,163,170,177,178,180,187,199,202,204,209,253,261,309,311,317,321,331,
352,358,365,369,378,383,393,543,545,641,648,654,668,674,886,897,993,1149,
1360],[1,2,3,4,6,8,9,10,11,12,13,15,16,22,27,28,29,30,33,34,35,36,38,39,40,41,
42,43,45,46,47,48,49,50,51,52,56,57,58,59,60,61,62,67,80,81,106,111,112,113,
114,115,116,117,118,119,124,130,131,132,133,153,155,158,161,167,168,183,184,
185,186,187,188,190,191,192,193,194,195,196,197,198,201,210,211,212,213,271,
278,281,310,311,312,315,318,319,320,326,327,328,329,330,331,334,337,340,343,
347,349,353,364,367,381,386,390,391,397,544,546,642,656,658,659,661,718,724,
905,918,924,990,1150,1361],[1,2,3,4,6,8,9,10,11,12,13,15,16,22,27,28,29,30,33,
34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,56,57,58,59,60,61,62,67,80,
82,105,111,112,113,114,115,116,117,118,119,124,130,131,132,133,152,154,159,
160,166,169,183,184,185,186,187,188,190,191,192,193,194,195,196,197,198,201,
210,211,212,213,270,277,281,309,311,312,315,318,319,320,326,327,328,329,330,
332,333,338,339,344,348,350,354,363,366,382,385,389,392,397,543,545,641,655,
657,660,662,717,724,904,919,925,989,1149,1362],[1,2,3,4,6,8,9,10,11,12,13,15,
16,19,20,22,27,28,29,30,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,
56,57,58,59,60,61,62,67,80,81,87,92,95,105,111,112,113,114,115,116,117,118,
119,124,130,131,132,133,152,154,159,160,166,169,183,184,185,186,187,188,190,
191,192,193,194,195,196,197,198,201,210,211,212,213,252,254,267,271,278,281,
284,309,311,312,315,318,319,320,326,327,328,329,330,332,333,338,339,344,348,
350,354,363,366,382,385,389,392,397,546,557,559,569,573,584,587,641,655,657,
660,662,717,724,885,889,905,916,989,1153,1171,1176,1363],[1,2,3,4,6,8,9,10,11,
12,13,15,16,19,20,22,27,28,29,30,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,
50,51,52,56,57,58,59,60,61,62,67,80,82,87,92,95,106,111,112,113,114,115,116,
117,118,119,124,130,131,132,133,153,155,158,161,167,168,183,184,185,186,187,
188,190,191,192,193,194,195,196,197,198,201,210,211,212,213,251,253,266,270,
277,281,284,310,311,312,315,318,319,320,326,327,328,329,330,331,334,337,340,
343,347,349,353,364,367,381,386,390,391,397,545,557,558,570,574,585,586,642,
656,658,659,661,718,724,886,890,904,917,990,1154,1172,1175,1364],[1,2,3,5,6,8,
9,10,11,12,13,15,16,18,21,23,27,28,29,30,33,34,35,36,38,39,40,41,42,43,45,46,
47,48,49,50,51,52,56,57,58,59,60,61,62,67,83,86,89,94,96,106,111,112,113,114,
115,116,117,118,119,124,130,131,132,133,153,155,158,161,167,168,183,184,185,
186,187,188,190,191,192,193,194,195,196,197,198,201,210,211,212,213,255,259,
262,274,276,283,286,310,311,312,315,318,319,320,326,327,328,329,330,331,334,
337,340,343,347,349,353,364,367,381,386,390,391,397,548,556,560,572,580,591,
594,642,656,658,659,661,718,724,887,892,906,915,990,1155,1166,1168,1365],[1,2,
3,5,6,8,9,10,11,12,13,15,16,18,21,23,27,28,29,30,33,34,35,36,38,39,40,41,42,
43,45,46,47,48,49,50,51,52,56,57,58,59,60,61,62,67,84,85,90,93,96,105,111,112,
113,114,115,116,117,118,119,124,130,131,132,133,152,154,159,160,166,169,183,
184,185,186,187,188,190,191,192,193,194,195,196,197,198,201,210,211,212,213,
256,260,263,273,275,282,285,309,311,312,315,318,319,320,326,327,328,329,330,
332,333,338,339,344,348,350,354,363,366,382,385,389,392,397,547,555,561,571,
579,590,595,641,655,657,660,662,717,724,888,891,907,914,989,1156,1165,1167,
1366],[1,2,3,5,7,8,9,10,11,12,13,15,16,23,27,28,30,33,36,37,38,40,42,43,46,47,
48,49,50,51,52,53,56,57,59,60,61,63,65,67,68,79,84,85,105,109,113,115,119,123,
129,130,131,135,139,142,143,147,152,154,157,160,165,166,169,179,181,184,188,
191,193,195,197,198,200,202,210,213,218,221,273,275,282,309,316,318,328,333,
336,339,348,350,354,361,363,372,375,379,385,392,407,409,412,421,424,425,431,
433,439,448,453,455,456,461,467,501,547,549,565,644,662,678,685,763,775,783,
794,812,907,922,927,958,1008,1151,1367],[1,2,3,5,7,8,9,10,11,12,13,15,16,23,
27,28,29,34,36,37,39,41,42,43,46,47,48,49,50,51,52,54,56,58,59,60,61,63,64,67,
69,79,83,86,106,110,112,114,118,122,128,130,132,134,140,141,144,148,153,155,
156,161,164,167,168,180,182,183,187,190,194,196,197,198,199,202,211,213,217,
220,274,276,283,310,317,319,329,334,335,340,347,349,353,362,364,373,374,380,
386,391,406,408,413,422,423,426,430,432,440,449,452,454,457,462,468,502,548,
550,564,643,661,679,686,762,774,784,795,813,906,923,928,957,1007,1152,1368],[
1,2,3,5,8,9,10,11,12,13,15,16,18,21,23,27,28,30,33,36,38,40,42,43,46,48,49,50,
51,52,56,57,58,59,60,61,64,67,84,85,96,98,99,105,113,115,119,121,128,130,131,
132,140,141,148,152,154,158,160,161,164,166,167,169,171,173,184,188,191,193,
195,197,198,210,213,256,260,263,273,275,282,298,309,318,328,333,339,348,350,
354,363,381,385,387,392,396,413,464,468,481,487,547,571,595,599,603,606,662,
672,703,722,773,888,891,907,937,1064,1165,1184,1193,1369],[1,2,3,5,8,9,10,11,
12,13,15,16,18,21,23,27,28,29,34,36,39,41,42,43,46,47,49,50,51,52,56,57,58,59,
60,61,65,67,83,86,96,98,99,106,112,114,118,120,129,130,131,132,139,142,147,
153,155,159,160,161,165,166,167,168,172,174,183,187,190,194,196,197,198,211,
213,255,259,262,274,276,283,298,310,319,329,334,340,347,349,353,364,382,386,
388,391,395,412,463,467,480,488,548,572,594,600,604,607,661,673,704,723,772,
887,892,906,936,1063,1166,1183,1192,1370],[1,2,3,4,6,8,9,10,11,12,13,14,15,16,
19,20,22,27,28,29,30,34,35,36,39,41,42,43,45,46,47,48,50,51,52,56,57,58,60,62,
63,66,67,80,82,92,97,100,111,112,113,114,116,118,123,124,125,126,132,145,146,
150,155,158,159,161,162,163,167,168,170,176,178,183,185,186,187,188,196,198,
201,211,213,251,253,266,270,277,281,297,312,315,329,331,337,343,347,349,367,
377,381,383,384,390,394,414,469,482,491,545,570,586,597,602,608,656,669,675,
713,721,765,771,886,890,904,935,1067,1172,1181,1195,1371],[1,2,3,4,6,8,9,10,
11,12,13,14,15,16,19,20,22,27,28,29,30,33,35,36,38,40,42,43,45,46,47,48,49,51,
52,56,57,58,59,62,63,66,67,80,81,92,97,100,111,112,113,115,117,119,122,124,
125,126,131,145,146,151,154,158,159,160,162,163,166,169,170,177,178,184,185,
186,187,188,195,197,201,210,213,252,254,267,271,278,281,297,311,315,328,332,
338,344,348,350,366,378,382,383,384,389,393,414,469,483,492,546,569,587,596,
601,608,655,668,674,714,721,764,770,885,889,905,934,1068,1171,1182,1194,
1372],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,19,20,22,27,28,30,33,34,35,36,37,
38,39,40,41,43,44,45,46,47,48,49,50,52,55,56,57,58,59,60,61,63,66,67,80,82,91,
95,100,109,111,113,114,115,116,118,123,126,130,132,149,153,158,161,162,167,
168,170,175,176,177,178,179,184,185,188,190,191,193,196,198,200,202,203,204,
209,210,212,251,253,261,266,270,277,281,299,312,316,318,322,326,337,340,357,
358,360,364,365,367,368,381,384,391,394,427,428,458,475,477,483,545,566,574,
581,585,597,653,659,669,690,696,697,771,890,897,904,930,1049,1170,1175,1195,
1373],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,19,20,22,27,28,29,33,34,35,36,37,
38,39,40,41,42,44,45,46,47,48,49,50,51,55,56,57,58,59,60,61,63,66,67,80,81,91,
95,100,110,111,112,114,115,117,119,122,125,130,131,149,152,159,160,163,166,
169,170,175,176,177,178,180,183,186,187,190,191,194,195,197,199,202,203,204,
209,211,212,252,254,261,267,271,278,281,299,311,317,319,321,327,338,339,357,
358,359,363,365,366,369,382,383,392,393,427,429,459,476,478,482,546,567,573,
581,584,596,654,660,668,689,695,698,770,889,898,905,929,1050,1169,1176,1194,
1374],[1,2,3,5,8,9,10,11,12,13,15,16,21,23,27,28,31,33,34,36,38,39,40,41,43,
45,48,49,50,51,52,53,56,57,58,59,60,62,65,67,83,86,93,94,99,106,108,114,115,
118,120,124,129,132,143,147,150,152,153,155,158,165,166,167,168,169,172,174,
181,185,190,191,192,195,196,197,198,205,207,210,212,259,262,264,269,274,276,
283,300,310,320,325,326,341,343,353,355,363,364,367,370,386,388,390,395,420,
425,450,455,489,495,498,548,577,580,589,591,600,652,658,673,687,709,716,772,
892,895,906,932,1053,1168,1173,1192,1375],[1,2,3,5,8,9,10,11,12,13,15,16,21,
23,27,28,32,33,34,36,38,39,40,41,42,45,47,49,50,51,52,54,56,57,58,59,60,62,64,
67,84,85,93,94,99,105,107,114,115,119,121,124,128,131,144,148,151,152,153,154,
159,164,166,167,168,169,171,173,182,186,190,191,192,195,196,197,198,206,208,
211,212,260,263,265,268,273,275,282,300,309,320,324,327,342,344,354,356,363,
364,366,371,385,387,389,396,419,426,451,454,490,496,497,547,578,579,588,590,
599,651,657,672,688,710,715,773,891,896,907,933,1054,1167,1174,1193,1376],[1,
2,3,4,6,7,8,9,11,12,13,14,15,19,22,28,30,34,35,36,37,39,41,43,44,46,47,48,55,
57,63,66,80,82,87,91,97,106,109,111,113,114,116,118,123,126,150,159,162,170,
176,178,179,188,200,202,203,209,253,261,270,277,281,288,310,312,316,322,332,
351,357,365,368,377,384,394,545,557,558,566,581,602,608,642,647,653,669,675,
897,904,942,949,994,1154,1170,1181,1377],[1,2,3,4,6,7,8,9,10,12,13,14,15,19,
22,27,29,33,35,36,37,38,40,42,44,46,47,48,55,58,63,66,80,81,87,91,97,105,110,
111,112,115,117,119,122,125,151,158,163,170,177,178,180,187,199,202,204,209,
254,261,271,278,281,288,309,311,317,321,331,352,358,365,369,378,383,393,546,
557,559,567,581,601,608,641,648,654,668,674,898,905,941,949,993,1153,1169,
1182,1378],[1,2,3,5,6,8,9,10,12,13,15,16,21,23,27,29,32,33,35,36,38,40,42,45,
48,50,52,54,58,60,64,84,85,90,94,98,105,107,111,112,115,117,119,121,128,156,
161,164,167,171,173,180,182,185,198,206,208,265,268,273,275,282,289,309,311,
314,324,337,346,356,362,371,380,387,396,547,555,561,578,588,603,606,641,650,
651,670,672,896,907,948,951,992,1156,1174,1184,1379],[1,2,3,5,6,8,9,11,12,13,
15,16,21,23,28,30,31,34,35,36,39,41,43,45,47,49,51,53,57,59,65,83,86,89,93,98,
106,108,111,113,114,116,118,120,129,157,160,165,166,172,174,179,181,186,197,
205,207,264,269,274,276,283,290,310,312,313,325,338,345,355,361,370,379,388,
395,548,556,560,577,589,604,607,642,649,652,671,673,895,906,947,950,991,1155,
1173,1183,1380],[1,2,3,5,8,9,10,11,12,13,15,16,18,21,23,27,28,30,32,33,36,38,
40,42,43,46,48,49,50,51,52,54,56,57,59,60,61,64,67,69,85,86,89,94,96,105,107,
113,115,119,128,130,131,134,152,154,160,166,169,171,173,182,184,188,191,193,
195,197,198,206,208,210,213,217,220,255,256,259,260,262,265,273,274,276,280,
286,293,309,318,324,328,333,339,348,350,354,356,363,371,385,392,396,399,403,
440,481,487,490,496,560,562,571,572,578,580,583,591,593,594,614,651,662,666,
703,715,727,731,741,745,902,912,915,1075,1186,1189,1202,1381],[1,2,3,5,8,9,10,
11,12,13,15,16,18,21,23,27,28,29,31,34,36,39,41,42,43,46,47,49,50,51,52,53,56,
58,59,60,61,65,67,68,85,86,90,93,96,106,108,112,114,118,129,130,132,135,153,
155,161,167,168,172,174,181,183,187,190,194,196,197,198,205,207,211,213,218,
221,255,256,259,260,263,264,273,274,275,279,285,294,310,319,325,329,334,340,
347,349,353,355,364,370,386,391,395,400,402,439,480,488,489,495,561,563,571,
572,577,579,582,590,592,595,613,652,661,665,704,716,728,732,740,744,901,913,
914,1076,1185,1190,1203,1382],[1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,18,21,23,
27,28,29,30,32,33,35,36,37,38,40,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,
58,59,60,62,63,64,66,67,70,77,85,86,89,94,96,107,110,111,112,113,115,117,119,
121,122,124,125,128,131,136,154,156,159,160,161,163,164,166,167,169,170,177,
178,180,182,184,185,186,187,188,195,197,198,199,201,202,204,206,208,209,210,
213,216,219,249,255,256,257,259,260,262,265,272,273,274,276,280,286,292,311,
314,315,317,321,324,328,332,337,338,344,346,348,350,358,362,365,366,369,380,
382,383,387,389,393,398,404,438,471,472,473,475,484,491,553,560,562,568,571,
572,576,578,580,583,591,593,594,611,650,654,655,663,700,702,712,733,735,736,
739,903,909,912,915,1072,1188,1191,1201,1383],[1,2,3,5,6,7,8,9,10,11,12,13,14,
15,16,18,21,23,27,28,29,30,31,34,35,36,37,39,41,42,43,44,45,46,47,48,49,50,51,
52,53,55,56,57,58,59,60,62,63,65,66,67,70,77,85,86,90,93,96,108,109,111,112,
113,114,116,118,120,123,124,126,129,132,137,155,157,158,160,161,162,165,166,
167,168,170,176,178,179,181,183,185,186,187,188,196,197,198,200,201,202,203,
205,207,209,211,213,215,219,249,255,256,257,259,260,263,264,272,273,274,275,
279,285,292,312,313,315,316,322,325,329,331,337,338,343,345,347,349,357,361,
365,367,368,379,381,384,388,390,394,398,405,437,471,472,474,476,484,492,554,
561,563,568,571,572,575,577,579,582,590,592,595,612,649,653,656,664,699,701,
711,733,734,737,738,903,908,913,914,1071,1187,1191,1200,1384],[1,2,3,4,6,7,8,
9,10,11,12,13,14,15,16,20,22,27,28,30,33,34,35,36,37,38,39,40,41,43,45,46,47,
48,49,50,52,55,56,57,58,59,60,61,63,66,67,80,82,88,95,97,109,111,113,114,115,
116,118,123,126,130,132,149,150,153,158,159,161,162,167,168,170,175,176,177,
178,179,184,185,188,190,191,193,196,198,200,202,204,210,212,251,266,270,277,
281,291,312,316,318,326,332,337,340,351,358,360,364,367,377,381,384,391,394,
427,428,458,473,479,485,545,551,574,585,602,608,647,659,675,690,693,708,765,
890,904,919,940,1045,1175,1180,1181,1385],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,
16,20,22,27,28,29,33,34,35,36,37,38,39,40,41,42,45,46,47,48,49,50,51,55,56,57,
58,59,60,61,63,66,67,80,81,88,95,97,110,111,112,114,115,117,119,122,125,130,
131,149,151,152,158,159,160,163,166,169,170,175,176,177,178,180,183,186,187,
190,191,194,195,197,199,202,203,211,212,252,267,271,278,281,291,311,317,319,
327,331,338,339,352,357,359,363,366,378,382,383,392,393,427,429,459,474,479,
486,546,552,573,584,601,608,648,660,674,689,694,707,764,889,905,918,939,1046,
1176,1179,1182,1386],[1,2,3,5,8,9,10,11,12,13,15,16,21,23,27,28,31,33,34,36,
38,39,40,41,43,45,48,49,50,51,52,53,56,57,58,59,60,62,65,67,83,86,90,94,98,
106,108,114,115,118,120,124,129,132,143,147,150,152,153,155,158,165,166,167,
168,169,172,174,181,185,190,191,192,195,196,197,198,205,207,210,212,259,262,
274,276,279,283,289,310,320,325,326,341,343,353,355,363,364,367,370,386,388,
390,395,420,425,450,455,489,495,498,548,563,580,591,604,607,652,658,673,687,
709,716,772,892,906,920,944,1053,1168,1178,1183,1387],[1,2,3,5,8,9,10,11,12,
13,15,16,21,23,27,28,32,33,34,36,38,39,40,41,42,45,47,49,50,51,52,54,56,57,58,
59,60,62,64,67,84,85,89,93,98,105,107,114,115,119,121,124,128,131,144,148,151,
152,153,154,159,164,166,167,168,169,171,173,182,186,190,191,192,195,196,197,
198,206,208,211,212,260,263,273,275,280,282,290,309,320,324,327,342,344,354,
356,363,364,366,371,385,387,389,396,419,426,451,454,490,496,497,547,562,579,
590,603,606,651,657,672,688,710,715,773,891,907,921,943,1054,1167,1177,1184,
1388],[1,2,3,4,6,7,8,9,10,12,13,14,15,22,27,29,33,35,36,37,38,40,42,44,46,47,
48,55,58,63,66,80,81,87,88,100,105,110,111,112,115,117,119,122,125,151,158,
163,170,177,178,180,187,199,202,204,209,271,278,281,296,309,311,317,321,331,
352,358,365,369,378,383,393,546,552,557,559,596,641,648,654,668,674,905,918,
953,993,1153,1179,1194,1389],[1,2,3,4,6,7,8,9,11,12,13,14,15,22,28,30,34,35,
36,37,39,41,43,44,46,47,48,55,57,63,66,80,82,87,88,100,106,109,111,113,114,
116,118,123,126,150,159,162,170,176,178,179,188,200,202,203,209,270,277,281,
296,310,312,316,322,332,351,357,365,368,377,384,394,545,551,557,558,597,642,
647,653,669,675,904,919,952,994,1154,1180,1195,1390],[1,2,3,5,6,8,9,10,12,13,
15,16,23,27,29,32,33,35,36,38,40,42,45,48,50,52,54,58,60,64,84,85,89,90,99,
105,107,111,112,115,117,119,121,128,156,161,164,167,171,173,180,182,185,198,
206,208,273,275,280,282,295,309,311,314,324,337,346,356,362,371,380,387,396,
547,555,561,562,599,641,650,651,670,672,907,921,956,992,1156,1177,1193,1391],[
1,2,3,5,6,8,9,11,12,13,15,16,23,28,30,31,34,35,36,39,41,43,45,47,49,51,53,57,
59,65,83,86,89,90,99,106,108,111,113,114,116,118,120,129,157,160,165,166,172,
174,179,181,186,197,205,207,274,276,279,283,295,310,312,313,325,338,345,355,
361,370,379,388,395,548,556,560,563,600,642,649,652,671,673,906,920,955,991,
1155,1178,1192,1392],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,19,20,22,27,28,29,
30,33,35,36,37,38,40,42,43,44,45,46,47,48,49,51,52,55,56,57,58,59,62,63,66,67,
70,80,81,88,91,92,109,110,111,112,113,115,117,119,122,123,124,125,127,131,138,
151,154,158,159,160,163,166,169,170,177,178,179,180,184,185,186,187,188,189,
195,197,199,200,201,202,204,209,210,213,214,215,216,219,252,254,261,267,271,
278,281,287,311,315,316,317,321,323,328,331,332,338,344,348,350,352,358,365,
366,369,378,382,383,389,393,401,404,405,441,442,474,476,479,482,483,492,546,
552,567,569,581,587,648,654,655,667,698,707,714,729,734,747,748,885,889,898,
905,911,918,1074,1169,1171,1179,1216,1223,1393],[1,2,3,4,6,7,8,9,10,11,12,13,
14,15,16,19,20,22,27,28,29,30,34,35,36,37,39,41,42,43,44,45,46,47,48,50,51,52,
55,56,57,58,60,62,63,66,67,70,80,82,88,91,92,109,110,111,112,113,114,116,118,
122,123,124,126,127,132,138,150,155,158,159,161,162,167,168,170,176,178,179,
180,183,185,186,187,188,189,196,198,199,200,201,202,203,209,211,213,214,215,
216,219,251,253,261,266,270,277,281,287,312,315,316,317,322,323,329,331,332,
337,343,347,349,351,357,365,367,368,377,381,384,390,394,401,404,405,441,442,
473,475,479,482,483,491,545,551,566,570,581,586,647,653,656,667,697,708,713,
730,735,746,748,886,890,897,904,910,919,1073,1170,1172,1180,1215,1224,1394],[
1,2,3,5,8,9,10,11,12,13,15,16,18,21,23,27,28,30,32,33,36,38,40,42,43,46,48,49,
50,51,52,54,56,57,59,60,61,64,67,69,84,85,89,94,96,105,107,113,115,119,128,
130,131,134,152,154,160,166,169,171,173,182,184,188,191,193,195,197,198,206,
208,210,213,217,220,256,260,263,265,268,273,275,280,282,286,309,318,324,328,
333,339,348,350,354,356,363,371,385,392,396,399,403,440,481,487,490,496,547,
562,571,578,583,588,593,595,651,662,666,703,715,727,731,741,745,888,891,896,
907,912,921,1075,1165,1174,1177,1220,1225,1395],[1,2,3,5,8,9,10,11,12,13,15,
16,18,21,23,27,28,29,31,34,36,39,41,42,43,46,47,49,50,51,52,53,56,58,59,60,61,
65,67,68,83,86,90,93,96,106,108,112,114,118,129,130,132,135,153,155,161,167,
168,172,174,181,183,187,190,194,196,197,198,205,207,211,213,218,221,255,259,
262,264,269,274,276,279,283,285,310,319,325,329,334,340,347,349,353,355,364,
370,386,391,395,400,402,439,480,488,489,495,548,563,572,577,582,589,592,594,
652,661,665,704,716,728,732,740,744,887,892,895,906,913,920,1076,1166,1173,
1178,1219,1226,1396],[1,2,3,5,7,9,10,12,13,14,16,21,30,32,33,37,38,50,52,54,
55,59,61,64,66,68,69,71,79,84,85,105,109,135,139,152,157,162,173,175,184,193,
204,206,208,217,220,223,227,228,258,265,268,333,336,356,360,403,431,477,481,
490,494,507,509,513,547,549,565,644,742,745,815,818,825,834,896,900,959,1094,
1151,1397],[1,2,3,5,7,8,11,12,13,14,16,21,29,31,34,37,39,49,51,53,55,60,61,65,
66,68,69,71,79,83,86,106,110,134,140,153,156,163,174,175,183,194,203,205,207,
218,221,224,226,228,258,264,269,334,335,355,359,402,430,478,480,489,493,506,
510,514,548,550,564,643,743,744,814,819,824,835,895,899,960,1095,1152,1398],[
1,2,3,5,8,9,10,11,12,13,15,16,18,21,23,28,32,33,36,38,40,42,49,50,51,52,54,57,
58,59,62,64,67,68,69,71,85,86,96,98,99,119,120,124,131,135,142,143,147,150,
152,154,159,160,165,166,169,171,173,191,197,206,208,217,223,227,228,255,256,
259,265,274,280,293,298,339,371,389,399,409,410,415,420,433,463,485,487,490,
501,504,512,513,572,593,600,604,610,727,751,759,816,821,832,839,902,936,1100,
1189,1196,1207,1399],[1,2,3,5,8,9,10,11,12,13,15,16,18,21,23,27,31,34,36,39,
41,43,49,50,51,52,53,57,58,60,62,65,67,68,69,71,85,86,96,98,99,118,121,124,
132,134,141,144,148,151,153,155,158,161,164,167,168,172,174,190,198,205,207,
218,224,226,228,255,256,260,264,273,279,294,298,340,370,390,400,408,411,416,
419,432,464,486,488,489,502,505,511,514,571,592,599,603,609,728,750,758,817,
820,833,838,901,937,1099,1190,1197,1208,1400],[1,3,5,8,10,11,15,16,21,23,27,
31,34,49,53,54,56,58,60,65,68,71,85,86,93,94,99,106,121,140,144,151,155,168,
174,182,190,196,205,218,224,225,227,259,263,264,265,273,279,294,300,353,355,
373,400,406,416,451,486,488,495,505,510,516,578,579,582,599,615,677,732,750,
807,822,838,844,901,933,1106,1185,1199,1208,1401],[1,3,5,9,10,11,15,16,21,23,
28,32,33,50,53,54,56,57,59,64,69,71,85,86,93,94,99,105,120,139,143,150,154,
169,173,181,191,195,206,217,223,225,226,260,262,264,265,274,280,293,300,354,
356,372,399,407,415,450,485,487,496,504,509,515,577,580,583,600,616,676,731,
751,806,823,839,845,902,932,1107,1186,1198,1207,1402],[1,2,3,5,7,8,9,10,11,12,
13,14,15,16,21,23,27,28,29,30,31,33,36,37,38,40,42,43,45,46,47,48,50,52,54,55,
56,57,58,59,60,61,62,63,66,67,70,77,85,86,90,94,98,108,109,112,113,115,120,
123,124,126,130,132,137,143,144,148,149,150,151,154,156,158,159,161,162,164,
165,167,170,175,177,179,180,182,184,185,186,187,188,191,193,195,198,200,201,
202,204,215,219,257,262,265,272,273,274,275,279,289,292,313,315,316,318,341,
344,346,352,358,360,362,377,381,384,398,405,415,417,418,419,423,427,428,437,
447,448,457,458,471,473,479,482,491,492,554,561,563,576,578,580,603,604,605,
612,664,683,690,691,699,708,713,739,747,753,755,903,944,946,948,999,1188,1200,
1204,1403],[1,2,3,5,7,8,9,10,11,12,13,14,15,16,21,23,27,28,29,30,32,34,36,37,
39,41,42,43,45,46,47,48,49,51,53,55,56,57,58,59,60,61,62,63,66,67,70,77,85,86,
89,93,98,107,110,112,113,114,121,122,124,125,130,131,136,143,144,147,149,150,
151,155,157,158,159,160,163,164,165,166,170,175,176,179,180,181,183,185,186,
187,188,190,194,196,197,199,201,202,203,216,219,257,263,264,272,273,274,276,
280,290,292,314,315,317,319,342,343,345,351,357,359,361,378,382,383,398,404,
416,417,418,420,424,427,429,438,446,449,456,459,472,474,479,483,491,492,553,
560,562,575,577,579,603,604,605,611,663,684,689,692,700,707,714,738,746,752,
755,903,943,945,947,1000,1187,1201,1204,1404],[1,2,3,5,7,8,9,10,11,12,13,14,
15,16,21,23,27,28,29,30,33,34,36,37,38,39,40,41,45,46,47,48,51,52,53,54,55,56,
57,58,59,60,62,63,66,70,77,85,86,93,94,99,114,115,120,121,122,123,124,127,136,
137,138,141,142,143,144,145,146,150,151,154,155,158,159,160,161,164,165,168,
169,170,176,177,179,180,181,182,183,184,185,186,187,188,189,192,195,196,199,
200,201,202,203,204,214,215,216,219,257,262,263,264,265,272,273,274,292,300,
320,343,344,345,346,349,350,351,352,357,358,374,375,376,398,401,404,405,410,
411,414,434,435,436,437,438,441,442,444,448,449,450,451,460,471,472,473,474,
475,476,479,482,483,484,491,492,575,576,577,578,579,580,598,599,600,617,729,
730,736,737,738,739,746,747,749,776,777,778,803,804,805,903,931,932,933,1103,
1187,1188,1209,1405],[1,2,3,5,8,9,10,11,12,13,15,16,23,27,28,29,31,32,34,36,
39,41,42,45,48,49,51,53,56,58,59,60,61,63,65,68,85,86,89,90,99,107,108,112,
114,121,122,129,130,135,144,151,155,158,164,180,181,183,185,190,194,196,197,
205,207,218,221,273,274,275,279,280,294,295,314,319,325,342,343,378,400,402,
416,417,439,449,486,561,562,563,599,613,665,684,694,726,750,901,956,996,1203,
1206,1208,1406],[1,2,3,5,8,9,10,11,12,13,15,16,23,27,28,30,31,32,33,36,38,40,
43,45,47,50,52,54,56,57,59,60,61,63,64,69,85,86,89,90,99,107,108,113,115,120,
123,128,130,134,143,150,154,159,165,179,182,184,186,191,193,195,198,206,208,
217,220,273,274,276,279,280,293,295,313,318,324,341,344,377,399,403,415,418,
440,448,485,560,562,563,600,614,666,683,693,725,751,902,955,995,1202,1205,
1207,1407],[1,2,3,5,8,9,10,11,12,13,15,16,18,21,23,28,31,32,33,34,36,38,39,40,
41,42,45,47,49,50,51,52,53,54,56,57,59,64,65,67,69,71,85,86,90,93,96,108,114,
119,129,131,139,147,150,152,160,165,171,173,181,186,191,195,197,205,206,207,
208,211,212,217,223,225,226,255,256,259,264,265,274,279,280,285,293,325,327,
339,341,345,371,372,399,446,455,467,485,487,490,504,509,515,563,572,577,582,
592,593,616,725,727,782,806,821,828,845,902,913,1092,1189,1198,1205,1408],[1,
2,3,5,8,9,10,11,12,13,15,16,18,21,23,27,31,32,33,34,36,38,39,40,41,43,45,48,
49,50,51,52,53,54,56,58,60,64,65,67,68,71,85,86,89,94,96,107,115,118,128,132,
140,148,151,153,161,164,172,174,182,185,190,196,198,205,206,207,208,210,212,
218,224,225,227,255,256,260,264,265,273,279,280,286,294,324,326,340,342,346,
370,373,400,447,454,468,486,488,489,505,510,516,562,571,578,583,592,593,615,
726,728,781,807,820,829,844,901,912,1091,1190,1199,1206,1409],[1,3,5,8,10,11,
15,16,21,23,27,31,32,34,49,53,56,58,60,65,68,69,70,71,85,86,89,93,98,106,107,
134,136,141,151,155,164,168,174,190,196,205,218,224,226,228,259,263,264,273,
279,280,290,294,342,353,355,400,432,434,486,488,495,505,511,514,562,579,582,
603,609,646,726,732,817,822,829,833,901,943,1097,1185,1197,1206,1410],[1,3,5,
9,10,11,15,16,21,23,28,31,32,33,50,54,56,57,59,64,68,69,70,71,85,86,90,94,98,
105,108,135,137,142,150,154,165,169,173,191,195,206,217,223,227,228,260,262,
265,274,279,280,289,293,341,354,356,399,433,435,485,487,496,504,512,513,563,
580,583,604,610,645,725,731,816,823,828,832,902,944,1096,1186,1196,1205,
1411],[1,2,3,5,8,9,10,11,12,13,15,16,21,23,27,28,29,31,34,36,39,41,42,48,49,
50,51,52,53,54,56,58,59,60,61,64,65,68,69,71,85,86,90,94,98,108,112,114,128,
129,130,134,135,140,141,148,153,156,164,167,168,180,181,182,183,190,194,196,
197,198,205,207,217,218,220,221,222,223,224,225,226,227,228,265,273,274,275,
279,289,294,319,325,362,364,373,374,400,402,413,430,432,439,440,452,454,505,
506,508,510,511,513,514,515,516,518,561,563,578,603,609,613,615,665,774,779,
807,809,814,817,830,837,901,948,962,1056,1197,1199,1203,1412],[1,2,3,5,8,9,10,
11,12,13,15,16,21,23,27,28,30,32,33,36,38,40,43,47,49,50,51,52,53,54,56,57,59,
60,61,64,65,68,69,71,85,86,89,93,98,107,113,115,128,129,130,134,135,139,142,
147,152,157,165,166,169,179,181,182,184,191,193,195,197,198,206,208,217,218,
220,221,222,223,224,225,226,227,228,264,273,274,276,280,290,293,318,324,361,
363,372,375,399,403,412,431,433,439,440,453,455,504,507,508,509,512,513,514,
515,516,518,560,562,577,604,610,614,616,666,775,780,806,808,815,816,831,837,
902,947,961,1055,1196,1198,1202,1413],[1,2,3,5,7,8,9,10,11,12,13,15,23,27,28,
29,30,31,32,36,37,42,43,45,46,47,48,57,58,62,63,70,77,85,86,89,90,99,107,108,
109,110,112,113,120,121,122,123,124,127,136,137,138,179,180,185,186,187,188,
189,199,200,201,202,214,215,216,219,272,273,274,275,276,279,280,292,295,313,
314,315,316,317,323,398,401,404,405,437,438,441,442,444,553,554,560,561,562,
563,598,599,600,611,612,617,663,664,667,749,903,954,955,956,963,988,1200,1201,
1209,1414],[1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,18,21,23,27,28,29,30,35,36,
37,44,45,46,47,48,49,50,51,52,55,57,58,59,60,61,62,63,66,67,70,77,85,86,96,98,
99,111,120,121,122,123,124,127,130,131,132,133,136,137,138,141,142,143,144,
145,146,147,148,149,156,157,158,159,160,161,164,165,166,167,170,175,178,179,
180,185,186,187,188,189,197,198,199,200,201,202,209,214,215,216,219,249,255,
256,257,259,260,272,273,274,292,298,331,332,337,338,365,397,398,401,404,405,
410,411,414,417,418,423,424,427,437,438,441,442,444,445,456,457,461,462,463,
464,470,471,472,473,474,475,476,479,482,483,484,491,492,499,500,503,568,571,
572,598,599,600,603,604,605,617,733,734,735,748,749,752,753,754,755,788,789,
792,803,804,805,903,936,937,938,1093,1191,1204,1209,1415],[1,2,3,5,7,8,11,12,
13,14,16,21,23,29,31,34,37,39,49,51,53,55,60,61,65,66,68,69,71,77,83,89,93,98,
106,110,134,140,153,156,163,174,175,183,194,203,205,207,218,221,224,226,228,
257,269,272,283,290,293,334,335,355,359,402,430,478,480,489,493,506,510,514,
553,556,575,589,605,607,610,614,616,643,743,744,814,819,824,835,945,950,961,
1095,1158,1416],[1,2,3,5,7,9,10,12,13,14,16,21,23,30,32,33,37,38,50,52,54,55,
59,61,64,66,68,69,71,77,84,90,94,98,105,109,135,139,152,157,162,173,175,184,
193,204,206,208,217,220,223,227,228,257,268,272,282,289,294,333,336,356,360,
403,431,477,481,490,494,507,509,513,554,555,576,588,605,606,609,613,615,644,
742,745,815,818,825,834,946,951,962,1094,1157,1417],[1,3,5,8,10,11,15,16,21,
23,27,31,32,34,49,53,56,58,60,65,68,69,70,71,83,85,89,93,98,106,107,134,136,
141,151,155,164,168,174,190,196,205,218,224,226,228,263,269,273,280,283,290,
292,293,342,353,355,400,432,434,486,488,495,505,511,514,556,562,579,589,603,
607,610,611,614,616,646,726,732,817,822,829,833,943,950,961,1097,1159,1418],[
1,3,5,9,10,11,15,16,21,23,28,31,32,33,50,54,56,57,59,64,68,69,70,71,84,86,90,
94,98,105,108,135,137,142,150,154,165,169,173,191,195,206,217,223,227,228,262,
268,274,279,282,289,292,294,341,354,356,399,433,435,485,487,496,504,512,513,
555,563,580,588,604,606,609,612,613,615,645,725,731,816,823,828,832,944,951,
962,1096,1160,1419],[1,2,3,4,7,8,11,12,13,14,16,20,22,29,31,34,37,39,49,51,53,
55,60,61,65,66,68,69,71,81,88,95,97,106,110,134,140,153,156,163,174,175,183,
194,203,205,207,218,221,224,226,228,267,271,291,334,335,355,359,402,430,478,
480,489,493,506,510,514,544,552,573,601,643,743,744,814,819,824,835,894,924,
939,1095,1163,1210,1218,1420],[1,2,3,4,7,9,10,12,13,14,16,20,22,30,32,33,37,
38,50,52,54,55,59,61,64,66,68,69,71,82,88,95,97,105,109,135,139,152,157,162,
173,175,184,193,204,206,208,217,220,223,227,228,266,270,291,333,336,356,360,
403,431,477,481,490,494,507,509,513,543,551,574,602,644,742,745,815,818,825,
834,893,925,940,1094,1164,1211,1217,1421],[1,2,3,5,7,8,11,12,13,14,16,21,23,
29,31,34,37,39,49,51,53,55,60,61,65,66,68,69,71,79,83,89,93,98,106,110,134,
140,153,156,163,174,175,183,194,203,205,207,218,221,224,226,228,258,269,283,
290,334,335,355,359,402,430,478,480,489,493,506,510,514,550,556,589,607,643,
743,744,814,819,824,835,899,923,950,1095,1162,1212,1221,1422],[1,2,3,5,7,9,10,
12,13,14,16,21,23,30,32,33,37,38,50,52,54,55,59,61,64,66,68,69,71,79,84,90,94,
98,105,109,135,139,152,157,162,173,175,184,193,204,206,208,217,220,223,227,
228,258,268,282,289,333,336,356,360,403,431,477,481,490,494,507,509,513,549,
555,588,606,644,742,745,815,818,825,834,900,922,951,1094,1161,1213,1222,
1423],[1,2,3,5,8,9,11,12,13,14,15,16,23,28,30,31,36,43,45,47,57,58,60,66,67,
69,70,86,89,90,99,108,113,120,126,132,134,136,144,148,158,161,162,167,170,179,
186,274,276,279,292,293,295,313,381,384,471,492,499,502,560,563,600,611,614,
682,699,771,955,1004,1227,1424],[1,2,3,5,8,9,10,12,13,14,15,16,23,27,29,32,36,
42,45,48,57,58,59,66,67,68,70,85,89,90,99,107,112,121,125,131,135,137,143,147,
159,160,163,166,170,180,185,273,275,280,292,294,295,314,382,383,472,491,500,
501,561,562,599,612,613,681,700,770,956,1003,1228,1425],[1,2,3,4,6,7,8,9,12,
13,14,15,16,19,22,35,36,37,44,46,47,48,55,57,58,59,60,61,62,63,66,67,70,71,80,
87,91,97,111,124,127,130,131,132,133,138,145,146,149,170,175,178,189,202,209,
215,216,222,223,224,261,281,288,365,397,414,427,441,443,445,470,503,508,517,
557,581,608,680,792,793,848,849,926,949,1088,1214,1229,1234,1426],[1,3,5,9,10,
11,15,16,21,23,28,32,33,50,53,54,56,57,59,64,69,71,84,90,94,98,105,120,139,
143,150,154,169,173,181,191,195,206,217,223,225,226,268,282,289,354,356,372,
399,407,415,450,485,487,496,504,509,515,555,565,588,606,676,731,751,806,823,
839,845,927,951,958,959,1107,1231,1233,1236,1427],[1,3,5,8,10,11,15,16,21,23,
27,31,34,49,53,54,56,58,60,65,68,71,83,89,93,98,106,121,140,144,151,155,168,
174,182,190,196,205,218,224,225,227,269,283,290,353,355,373,400,406,416,451,
486,488,495,505,510,516,556,564,589,607,677,732,750,807,822,838,844,928,950,
957,960,1106,1230,1232,1235,1428],[1,3,16,24,68,101,620,964,1242,1429],[1,3,
16,24,69,101,620,964,1242,1430],[1,3,16,24,71,101,620,964,1242,1431],[1,2,3,
12,15,17,46,63,70,74,75,76,214,239,240,301,536,623,624,966,967,968,1243,1244,
1245,1432],[1,2,3,4,5,6,7,12,13,14,18,19,20,22,35,37,44,55,66,72,73,78,80,87,
88,91,92,95,97,100,209,230,231,233,234,235,250,261,281,284,287,288,291,296,
297,299,302,520,521,522,523,524,530,531,533,534,581,618,625,627,851,855,859,
860,861,866,868,869,873,969,971,1118,1123,1246,1247,1248,1433],[1,4,5,24,25,
73,242,243,244,245,247,248,621,639,640,1124,1126,1128,1129,1434],[1,2,3,4,8,
11,12,16,17,22,29,34,51,60,74,81,104,106,153,183,271,307,334,544,875,924,1132,
1253,1435],[1,2,3,4,9,10,12,16,17,22,30,33,52,59,74,82,104,105,152,184,270,
307,333,543,876,925,1131,1254,1436],[1,2,3,4,6,7,8,10,12,13,14,15,17,19,20,22,
29,35,37,38,40,42,44,46,48,55,63,66,74,75,76,81,87,88,91,92,95,97,100,117,163,
177,178,199,204,209,237,238,239,240,241,254,271,278,284,287,288,291,296,297,
299,369,535,536,537,559,567,601,618,633,877,941,976,981,983,1252,1255,1258,
1437],[1,2,3,4,6,7,9,11,12,13,14,15,17,19,20,22,30,35,37,39,41,43,44,46,47,55,
63,66,74,75,76,82,87,88,91,92,95,97,100,116,162,176,178,200,203,209,237,238,
239,240,241,253,270,277,284,287,288,291,296,297,299,368,535,536,537,558,566,
602,618,632,877,942,977,980,982,1251,1256,1259,1438],[1,2,3,4,6,7,8,9,12,13,
14,15,17,19,20,22,35,36,37,44,47,48,55,63,66,74,75,76,80,87,88,91,92,95,97,
100,111,170,178,202,209,237,238,239,240,241,261,281,284,287,288,291,296,297,
299,365,535,536,537,557,581,608,618,631,877,949,975,979,1250,1257,1260,1439],[
1,3,4,5,8,9,15,20,23,25,45,73,81,82,83,84,89,90,99,236,242,245,247,251,252,
295,526,527,639,870,871,1137,1440],[1,2,4,5,6,7,14,18,22,24,44,73,77,78,79,87,
88,100,235,243,244,248,249,250,296,524,525,640,867,868,1138,1441],[1,2,4,5,6,
7,14,18,22,25,44,73,77,79,87,88,100,102,235,242,245,247,249,296,303,304,305,
525,538,540,630,639,867,878,879,881,883,884,986,1143,1146,1262,1442],[1,2,4,5,
6,7,14,18,22,25,44,73,78,87,88,100,102,235,242,245,247,250,296,303,304,305,
524,538,540,630,639,868,878,879,880,882,884,986,1142,1146,1263,1443],[1,2,3,6,
7,8,9,10,11,12,13,14,15,16,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,
44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,
105,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,
125,126,127,128,129,130,131,132,133,135,136,137,138,139,141,142,143,144,145,
146,147,148,149,150,151,152,154,155,156,157,158,159,160,161,162,163,164,165,
166,167,168,169,170,171,173,175,176,177,178,179,180,181,182,183,184,185,186,
187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,
206,207,208,209,210,211,212,213,214,215,216,218,219,221,309,311,312,313,314,
315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,
335,336,337,338,339,341,342,343,344,345,346,347,348,349,350,351,352,354,356,
357,358,359,360,361,362,363,365,366,367,368,369,371,372,374,375,376,377,378,
379,380,381,382,383,384,385,387,388,389,390,392,393,394,396,397,398,400,401,
402,404,405,407,409,410,411,412,414,415,416,417,418,419,420,421,422,423,424,
425,427,428,429,431,433,434,435,436,437,438,439,441,442,444,445,446,447,448,
449,450,451,452,453,455,456,457,458,459,460,461,462,463,464,465,466,467,469,
470,471,472,473,474,475,476,478,479,482,483,484,486,491,492,493,499,500,501,
503,641,644,645,647,648,649,650,651,653,654,655,656,657,660,662,663,664,665,
667,668,670,672,674,676,678,681,683,684,685,686,687,689,690,691,692,694,695,
697,698,699,700,701,702,705,707,708,711,712,713,714,717,719,720,721,723,724,
726,729,730,733,734,735,736,737,738,739,743,746,747,748,749,750,752,753,754,
755,756,759,761,763,764,766,768,770,775,776,777,778,782,783,784,785,786,787,
788,789,791,792,794,796,797,799,800,801,802,803,804,805,811,812,988,989,992,
993,996,997,999,1000,1001,1002,1003,1005,1008,1009,1011,1012,1013,1016,1017,
1019,1024,1026,1030,1031,1032,1033,1035,1036,1038,1041,1042,1046,1047,1050,
1051,1058,1065,1068,1071,1072,1073,1074,1081,1093,1103,1266,1270,1273,1279,
1282,1285,1291,1308,1310,1444],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,27,28,29,
30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,
56,57,58,59,60,61,62,63,64,65,66,67,69,70,106,107,108,109,110,111,112,113,114,
115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,
134,136,137,138,140,141,142,143,144,145,146,147,148,149,150,151,153,154,155,
156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,172,174,175,176,
177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,
196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,
215,216,217,219,220,310,311,312,313,314,315,316,317,318,319,320,321,322,323,
324,325,326,327,328,329,330,331,332,334,335,336,337,338,340,341,342,343,344,
345,346,347,348,349,350,351,352,353,355,357,358,359,360,361,362,364,365,366,
367,368,369,370,373,374,375,376,377,378,379,380,381,382,383,384,386,387,388,
389,390,391,393,394,395,397,398,399,401,403,404,405,406,408,410,411,413,414,
415,416,417,418,419,420,421,422,423,424,426,427,428,429,430,432,434,435,436,
437,438,440,441,442,444,445,446,447,448,449,450,451,452,453,454,456,457,458,
459,460,461,462,463,464,465,466,468,469,470,471,472,473,474,475,476,477,479,
482,483,484,485,491,492,494,499,500,502,503,642,643,646,647,648,649,650,652,
653,654,655,656,658,659,661,663,664,666,667,669,671,673,675,677,679,682,683,
684,685,686,688,689,690,691,692,693,696,697,698,699,700,701,702,706,707,708,
711,712,713,714,718,719,720,721,722,724,725,729,730,733,734,735,736,737,738,
739,742,746,747,748,749,751,752,753,754,755,757,758,760,762,765,767,769,771,
774,776,777,778,781,783,784,785,786,787,788,789,790,792,795,796,797,798,800,
801,802,803,804,805,810,813,988,990,991,994,995,998,999,1000,1001,1002,1004,
1006,1007,1010,1011,1012,1013,1015,1018,1020,1023,1025,1029,1031,1032,1033,
1034,1037,1039,1040,1043,1045,1048,1049,1052,1057,1066,1067,1071,1072,1073,
1074,1082,1093,1103,1265,1269,1274,1280,1281,1286,1291,1307,1309,1445],[1,2,3,
6,7,8,9,10,11,12,13,14,15,16,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,
44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,65,66,67,68,70,105,
106,108,109,111,112,113,114,115,116,117,118,119,120,123,124,126,129,130,131,
132,133,135,137,139,142,143,147,150,152,153,154,155,157,158,159,160,161,162,
165,166,167,168,169,170,172,174,176,178,179,181,183,184,185,186,187,188,190,
191,192,193,194,195,196,197,198,200,201,202,203,205,207,209,210,211,212,213,
215,218,219,221,309,310,311,312,313,315,316,318,319,320,322,325,326,327,328,
329,330,331,332,333,334,336,337,338,339,340,341,343,344,345,347,348,349,350,
351,353,354,355,357,361,363,364,365,366,367,368,370,372,375,377,379,381,382,
384,385,386,388,389,390,391,392,394,395,397,398,400,402,405,407,409,410,412,
415,418,420,421,424,425,431,433,435,437,439,443,446,448,450,453,455,456,461,
463,465,467,471,472,474,476,480,484,488,489,492,494,495,498,500,501,641,642,
644,645,647,649,652,653,655,656,657,658,659,660,661,662,664,665,669,671,673,
675,676,678,680,681,683,685,687,692,699,701,704,706,709,711,716,717,718,720,
723,724,728,732,733,734,737,738,740,744,759,761,763,767,769,772,775,776,782,
783,785,789,791,794,796,799,800,811,812,989,990,991,994,1008,1009,1014,1015,
1018,1021,1023,1027,1030,1033,1048,1052,1053,1058,1063,1066,1071,1076,1264,
1266,1268,1269,1272,1276,1278,1446],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,27,28,
29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,
57,58,59,60,61,62,63,64,66,67,69,70,105,106,107,110,111,112,113,114,115,116,
117,118,119,121,122,124,125,128,130,131,132,133,134,136,140,141,144,148,151,
152,153,154,155,156,158,159,160,161,163,164,166,167,168,169,170,171,173,177,
178,180,182,183,184,185,186,187,188,190,191,192,193,194,195,196,197,198,199,
201,202,204,206,208,209,210,211,212,213,216,217,219,220,309,310,311,312,314,
315,317,318,319,320,321,324,326,327,328,329,330,331,332,333,334,335,337,338,
339,340,342,343,344,346,347,348,349,350,352,353,354,356,358,362,363,364,365,
366,367,369,371,373,374,378,380,381,382,383,385,386,387,389,390,391,392,393,
396,397,398,399,403,404,406,408,411,413,416,417,419,422,423,426,430,432,434,
438,440,443,447,449,451,452,454,457,462,464,466,468,471,472,473,475,481,484,
487,490,491,493,496,497,499,502,641,642,643,646,648,650,651,654,655,656,657,
658,659,660,661,662,663,666,668,670,672,674,677,679,680,682,684,686,688,691,
700,702,703,705,710,712,715,717,718,719,722,724,727,731,733,735,736,739,741,
745,758,760,762,766,768,773,774,777,781,784,786,788,790,795,797,798,801,810,
813,989,990,992,993,1007,1010,1014,1016,1017,1022,1024,1028,1029,1032,1047,
1051,1054,1057,1064,1065,1072,1075,1264,1265,1267,1270,1271,1275,1277,1447],[
1,2,3,6,7,8,9,10,11,12,13,14,15,16,27,28,29,30,31,32,33,34,35,36,37,38,39,40,
41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,
67,68,69,70,71,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,
122,123,124,125,126,127,128,129,130,131,132,133,134,135,138,139,140,141,142,
143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,
162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,
181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,
200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,
219,220,221,222,223,224,225,226,227,228,311,312,313,314,315,316,317,318,319,
320,321,322,323,324,325,326,327,328,329,330,335,336,337,338,339,340,341,342,
345,346,349,350,351,352,357,358,359,360,361,362,363,364,365,366,367,368,369,
372,373,374,375,376,379,380,381,382,383,384,385,386,387,388,389,390,391,392,
393,394,395,396,397,399,400,401,402,403,404,405,412,413,414,417,418,419,420,
421,422,423,424,425,426,427,428,429,430,431,432,433,436,439,440,441,442,443,
445,446,447,450,451,452,453,454,455,456,457,458,459,460,463,464,465,466,467,
468,469,470,471,472,473,474,475,476,477,478,482,483,484,489,490,491,492,493,
494,495,496,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,
517,518,649,650,653,654,659,660,665,666,667,668,669,670,671,680,685,686,687,
688,689,690,691,692,695,696,697,698,699,700,701,702,705,706,711,712,715,716,
717,718,721,722,723,724,729,730,736,737,742,743,752,753,754,756,757,766,767,
770,771,772,773,774,775,778,779,780,781,782,785,786,787,790,791,792,793,794,
795,798,799,802,806,807,808,809,814,815,816,817,830,831,837,847,848,849,997,
998,1001,1002,1014,1015,1016,1021,1022,1023,1024,1029,1030,1031,1040,1041,
1042,1043,1044,1049,1050,1051,1052,1055,1056,1069,1070,1088,1098,1275,1276,
1281,1282,1296,1297,1298,1448],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,27,28,29,
30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,
58,59,60,61,62,63,64,65,66,67,70,71,105,107,110,111,112,113,114,115,116,117,
118,119,121,122,123,124,125,126,128,129,130,131,132,133,136,141,142,143,144,
145,146,148,150,151,152,154,155,156,157,158,159,160,161,162,163,164,166,167,
168,169,170,171,172,173,174,176,177,178,180,182,183,184,185,186,187,188,190,
191,192,193,194,195,196,197,198,199,201,202,204,206,208,209,210,211,212,213,
216,219,222,223,224,309,311,312,314,315,317,318,319,320,321,324,326,327,328,
329,330,331,332,333,335,337,338,339,342,343,344,346,347,348,349,350,352,354,
356,358,362,363,365,366,367,369,371,374,377,378,379,380,381,382,383,384,385,
387,389,390,392,393,394,395,396,397,398,404,410,411,414,416,417,419,422,423,
434,438,447,449,451,452,457,461,462,464,465,466,469,471,472,473,475,476,477,
480,482,484,485,488,491,493,494,498,499,504,505,506,507,508,517,641,648,650,
651,654,655,656,657,660,662,663,668,669,670,671,672,674,675,684,686,691,693,
696,698,700,702,704,705,706,709,711,712,713,717,719,720,721,724,733,735,736,
739,765,766,767,768,769,771,777,779,780,784,786,788,793,797,801,803,818,821,
823,824,826,829,838,840,989,992,993,1011,1016,1017,1023,1024,1025,1027,1032,
1039,1040,1044,1047,1051,1060,1062,1065,1066,1067,1072,1078,1080,1082,1268,
1270,1283,1286,1288,1289,1298,1449],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,27,28,
29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,
57,58,59,60,61,62,63,64,65,66,67,70,71,106,108,109,111,112,113,114,115,116,
117,118,119,120,122,123,124,125,126,128,129,130,131,132,133,137,141,142,143,
144,145,146,147,150,151,153,154,155,156,157,158,159,160,161,162,163,165,166,
167,168,169,170,171,172,173,174,176,177,178,179,181,183,184,185,186,187,188,
190,191,192,193,194,195,196,197,198,200,201,202,203,205,207,209,210,211,212,
213,215,219,222,223,224,310,311,312,313,315,316,318,319,320,322,325,326,327,
328,329,330,331,332,334,336,337,338,340,341,343,344,345,347,348,349,350,351,
353,355,357,361,364,365,366,367,368,370,375,377,378,379,380,381,382,383,384,
386,388,389,390,391,393,394,395,396,397,398,405,410,411,414,415,418,420,421,
424,435,437,446,448,450,453,456,461,462,463,465,466,469,471,472,474,475,476,
478,481,483,484,486,487,492,493,494,497,500,504,505,506,507,508,517,642,647,
649,652,653,655,656,658,659,661,664,668,669,670,671,673,674,675,683,685,692,
694,695,697,699,701,703,705,706,710,711,712,714,718,719,720,721,724,733,734,
737,738,764,766,767,768,769,770,776,779,780,783,785,789,793,796,800,804,819,
820,822,825,827,828,839,841,990,991,994,1012,1015,1018,1023,1024,1026,1028,
1033,1038,1041,1044,1048,1052,1059,1061,1065,1066,1068,1071,1077,1079,1081,
1267,1269,1284,1285,1287,1290,1298,1450],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,
27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,
55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,105,107,109,110,111,112,113,114,
115,116,117,118,119,121,122,123,124,125,126,127,128,129,130,131,132,133,134,
138,140,141,144,145,146,147,148,149,151,152,153,154,156,157,158,159,160,161,
162,163,164,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,182,
183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,
202,203,204,206,208,209,210,211,212,213,214,215,216,217,219,220,309,311,312,
314,315,316,317,318,319,320,321,322,323,324,326,327,328,329,330,331,332,333,
336,337,338,339,340,342,344,346,348,350,352,354,356,357,358,359,360,362,363,
364,365,366,367,368,369,371,373,374,376,378,379,380,381,382,383,384,385,387,
389,391,392,393,394,395,396,397,399,401,403,404,405,413,414,417,419,421,423,
424,426,427,428,429,430,432,436,440,441,442,445,447,451,452,453,454,457,458,
459,460,464,466,468,469,470,472,474,475,476,477,478,479,480,481,482,483,484,
486,487,488,490,492,494,496,497,498,502,503,641,648,650,651,653,654,655,657,
659,660,662,666,667,668,669,670,671,672,674,685,688,689,690,691,694,695,696,
697,698,701,703,704,706,707,709,710,711,714,715,717,721,722,724,727,729,731,
734,736,741,742,745,747,748,752,754,757,764,767,770,771,773,774,778,781,786,
787,790,792,795,798,802,833,835,836,842,844,846,989,992,993,998,1002,1019,
1022,1023,1026,1027,1028,1029,1031,1040,1043,1046,1049,1050,1052,1054,1064,
1068,1074,1075,1083,1085,1087,1268,1271,1273,1281,1290,1294,1295,1451],[1,2,3,
6,7,8,9,10,11,12,13,14,15,16,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,
44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,
106,108,109,110,111,112,113,114,115,116,117,118,119,120,122,123,124,125,126,
127,128,129,130,131,132,133,135,138,139,142,143,145,146,147,148,149,150,152,
153,155,156,157,158,159,160,161,162,163,165,166,167,168,169,170,171,172,173,
174,175,176,177,178,179,180,181,183,184,185,186,187,188,189,190,191,192,193,
194,195,196,197,198,199,200,201,202,203,204,205,207,209,210,211,212,213,214,
215,216,218,219,221,310,311,312,313,315,316,317,318,319,320,321,322,323,325,
326,327,328,329,330,331,332,334,335,337,338,339,340,341,343,345,347,349,351,
353,355,357,358,359,360,361,363,364,365,366,367,368,369,370,372,375,376,377,
379,380,381,382,383,384,386,388,390,391,392,393,394,395,396,397,400,401,402,
404,405,412,414,418,420,422,423,424,425,427,428,429,431,433,436,439,441,442,
445,446,450,452,453,455,456,458,459,460,463,465,467,469,470,471,473,475,476,
477,478,479,480,481,482,483,484,485,487,488,489,491,493,495,497,498,501,503,
642,647,649,652,653,654,656,658,659,660,661,665,667,668,669,670,671,673,675,
686,687,689,690,692,693,695,696,697,698,702,703,704,705,708,709,710,712,713,
716,718,721,723,724,728,730,732,735,737,740,743,744,746,748,753,754,756,765,
766,770,771,772,775,778,782,785,787,791,792,794,799,802,832,834,836,843,845,
846,990,991,994,997,1001,1020,1021,1024,1025,1027,1028,1030,1031,1041,1042,
1045,1049,1050,1051,1053,1063,1067,1073,1076,1084,1086,1087,1267,1272,1274,
1282,1289,1293,1295,1452],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,27,28,29,30,31,
32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,
59,60,61,62,63,64,65,66,67,68,69,70,71,105,107,108,109,111,112,113,114,115,
116,117,118,119,120,121,123,124,126,128,129,130,131,132,133,134,135,137,139,
140,141,142,143,144,147,148,149,150,151,152,153,154,156,157,158,159,160,161,
162,164,165,166,167,168,169,170,171,173,175,176,177,178,179,180,181,182,183,
184,185,186,187,188,190,191,192,193,194,195,196,197,198,200,201,202,204,205,
206,207,208,210,211,212,213,215,217,218,219,220,221,222,223,224,225,226,227,
228,309,311,312,313,314,315,316,318,319,320,324,325,326,327,328,329,330,332,
333,336,337,338,339,340,341,342,344,345,346,348,350,351,352,354,356,358,360,
361,362,363,364,366,367,371,372,373,374,375,377,379,380,381,382,384,385,387,
388,389,391,392,394,396,397,398,399,400,402,403,405,407,409,410,412,413,415,
417,418,419,420,421,423,424,425,426,427,428,430,431,432,433,435,437,439,440,
446,447,448,450,451,452,453,454,455,456,457,458,461,463,464,465,466,467,468,
471,473,477,479,481,482,485,487,490,491,492,494,496,497,500,501,502,504,505,
506,507,508,509,510,511,512,513,514,515,516,517,518,641,644,645,647,649,650,
651,655,657,659,660,662,664,665,666,670,672,675,676,678,681,683,685,687,688,
690,691,692,693,696,699,703,706,708,710,713,715,717,720,722,723,724,725,727,
731,739,741,742,745,747,751,753,755,757,759,761,763,765,769,773,774,775,776,
779,780,781,782,783,785,786,789,790,791,793,794,795,796,798,799,800,806,807,
808,809,811,812,814,815,816,817,818,821,823,825,826,828,830,831,832,834,837,
839,841,843,845,847,989,992,995,998,999,1008,1009,1022,1025,1028,1029,1030,
1033,1034,1037,1039,1044,1045,1048,1054,1055,1056,1058,1059,1061,1064,1069,
1070,1075,1078,1080,1084,1086,1089,1092,1094,1096,1098,1100,1102,1105,1107,
1266,1271,1280,1284,1288,1293,1296,1300,1301,1303,1306,1453],[1,2,3,6,7,8,9,
10,11,12,13,14,15,16,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,
47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,
106,107,108,110,111,112,113,114,115,116,117,118,119,120,121,122,124,125,128,
129,130,131,132,133,134,135,136,139,140,141,142,143,144,147,148,149,150,151,
152,153,155,156,157,158,159,160,161,163,164,165,166,167,168,169,170,172,174,
175,176,177,178,179,180,181,182,183,184,185,186,187,188,190,191,192,193,194,
195,196,197,198,199,201,202,203,205,206,207,208,210,211,212,213,216,217,218,
219,220,221,222,223,224,225,226,227,228,310,311,312,313,314,315,317,318,319,
320,324,325,326,327,328,329,330,331,334,335,337,338,339,340,341,342,343,345,
346,347,349,351,352,353,355,357,359,361,362,363,364,366,367,370,372,373,374,
375,378,379,380,381,382,383,386,387,388,390,391,392,393,395,397,398,399,400,
402,403,404,406,408,411,412,413,416,417,418,419,420,422,423,424,425,426,427,
429,430,431,432,433,434,438,439,440,446,447,449,450,451,452,453,454,455,456,
457,459,462,463,464,465,466,467,468,472,474,478,479,480,483,486,488,489,491,
492,493,495,498,499,501,502,504,505,506,507,508,509,510,511,512,513,514,515,
516,517,518,642,643,646,648,649,650,652,656,658,659,660,661,663,665,666,671,
673,674,677,679,682,684,686,687,688,689,691,692,694,695,700,704,705,707,709,
714,716,718,719,722,723,724,726,728,732,738,740,743,744,746,750,752,755,756,
758,760,762,764,768,772,774,775,777,779,780,781,782,784,785,786,788,790,791,
793,794,795,797,798,799,801,806,807,808,809,810,813,814,815,816,817,819,820,
822,824,827,829,830,831,833,835,837,838,840,842,844,847,990,991,996,997,1000,
1007,1010,1021,1026,1027,1029,1030,1032,1035,1036,1038,1044,1046,1047,1053,
1055,1056,1057,1060,1062,1063,1069,1070,1076,1077,1079,1083,1085,1090,1091,
1095,1097,1098,1099,1101,1104,1106,1265,1272,1279,1283,1287,1294,1296,1299,
1302,1304,1305,1454],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,27,28,29,30,33,34,35,
36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,62,63,
66,67,70,71,105,106,109,110,111,112,113,114,115,116,117,118,119,122,123,124,
125,126,127,130,131,132,133,138,145,146,149,150,151,152,153,154,155,158,159,
160,161,162,163,166,167,168,169,170,175,176,177,178,179,180,183,184,185,186,
187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,209,
210,211,212,213,214,215,216,219,222,223,224,309,310,311,312,315,316,317,318,
319,320,321,322,323,326,327,328,329,330,331,332,333,334,337,338,339,340,343,
344,347,348,349,350,351,352,353,354,357,358,359,360,363,364,365,366,367,368,
369,376,377,378,381,382,383,384,385,386,389,390,391,392,393,394,397,401,404,
405,414,427,428,429,436,441,442,443,445,458,459,460,469,470,473,474,475,476,
477,478,479,482,483,485,486,491,492,503,504,505,506,507,508,517,641,642,647,
648,653,654,655,656,657,658,659,660,661,662,667,668,669,674,675,680,689,690,
693,694,695,696,697,698,707,708,713,714,717,718,721,724,729,730,734,735,746,
747,748,764,765,770,771,778,779,780,787,792,793,802,818,819,820,821,822,823,
826,827,848,849,989,990,993,994,1014,1019,1020,1025,1026,1031,1044,1045,1046,
1049,1050,1067,1068,1073,1074,1077,1078,1079,1080,1088,1264,1273,1274,1287,
1288,1292,1297,1455],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,27,28,29,30,31,32,33,
34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,
60,61,62,63,64,65,66,67,70,71,107,108,109,110,111,112,113,114,115,116,117,118,
119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,136,137,138,141,
142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,
161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,
180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,
199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,219,
222,223,224,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,
327,328,329,330,331,332,335,336,337,338,341,342,343,344,345,346,347,348,349,
350,351,352,357,358,359,360,361,362,365,366,367,368,369,374,375,376,377,378,
379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,
398,401,404,405,410,411,414,415,416,417,418,419,420,421,422,423,424,427,428,
429,434,435,436,437,438,441,442,443,444,445,446,447,448,449,450,451,452,453,
456,457,458,459,460,461,462,463,464,465,466,469,470,471,472,473,474,475,476,
479,480,481,482,483,484,487,488,489,490,491,492,495,496,497,498,499,500,503,
504,505,506,507,508,517,647,648,649,650,653,654,655,656,663,664,667,670,671,
680,683,684,685,686,689,690,691,692,697,698,699,700,701,702,703,704,707,708,
709,710,711,712,713,714,715,716,717,718,719,720,721,724,729,730,733,734,735,
736,737,738,739,746,747,748,749,752,753,754,755,768,769,772,773,776,777,778,
779,780,783,784,785,786,787,788,789,792,793,796,797,800,801,802,803,804,805,
824,825,828,829,836,838,839,840,841,846,848,849,988,999,1000,1001,1002,1011,
1012,1013,1014,1017,1018,1021,1022,1027,1028,1031,1032,1033,1044,1059,1060,
1061,1062,1071,1072,1073,1074,1087,1088,1093,1103,1277,1278,1283,1284,1291,
1295,1297,1456],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,27,28,29,30,31,32,33,34,
35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,
62,63,64,65,66,67,69,70,107,108,109,111,112,113,114,115,116,117,118,119,120,
121,122,123,124,125,126,128,129,130,131,132,133,134,137,140,141,142,143,144,
145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,
164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,
183,184,185,186,187,188,190,191,192,193,194,195,196,197,198,200,201,202,204,
205,206,207,208,210,211,212,213,215,217,219,220,311,312,313,314,315,316,318,
319,320,324,325,326,327,328,329,330,332,336,337,338,340,341,342,344,345,346,
348,350,351,352,358,360,361,362,364,366,367,373,374,375,377,378,379,380,381,
382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,403,
405,410,411,413,414,415,417,418,419,420,421,423,424,426,427,428,430,432,435,
437,440,443,446,447,448,450,451,452,453,454,456,457,458,461,462,463,464,465,
466,468,469,471,472,473,474,475,477,478,479,480,482,483,484,485,486,488,489,
490,491,492,493,494,495,496,498,500,502,647,649,650,655,659,664,666,668,670,
671,674,675,680,683,685,688,690,691,692,693,694,695,696,697,699,700,701,704,
705,706,708,709,712,713,714,715,716,717,718,719,720,721,722,724,725,739,742,
747,751,753,755,757,764,765,766,768,769,770,772,773,774,776,781,783,785,786,
789,790,795,796,798,800,804,833,835,842,844,995,998,999,1012,1014,1016,1018,
1021,1022,1024,1025,1026,1027,1029,1033,1034,1037,1038,1039,1041,1045,1048,
1065,1068,1081,1083,1085,1275,1278,1280,1285,1289,1292,1294,1457],[1,2,3,6,7,
8,9,10,11,12,13,14,15,16,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,
45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,
107,108,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,
128,129,130,131,132,133,135,136,139,141,142,143,144,145,146,147,148,149,150,
151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,
170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,
190,191,192,193,194,195,196,197,198,199,201,202,203,205,206,207,208,210,211,
212,213,216,218,219,221,311,312,313,314,315,317,318,319,320,324,325,326,327,
328,329,330,331,335,337,338,339,341,342,343,345,346,347,349,351,352,357,359,
361,362,363,366,367,372,374,375,377,378,379,380,381,382,383,384,385,386,387,
388,389,390,391,392,393,394,395,396,397,398,400,402,404,410,411,412,414,416,
417,418,419,420,422,423,424,425,427,429,431,433,434,438,439,443,446,447,449,
450,451,452,453,455,456,457,459,461,462,463,464,465,466,467,469,471,472,473,
474,476,477,478,479,481,482,483,484,485,486,487,489,490,491,492,493,494,495,
496,497,499,501,648,649,650,656,660,663,665,669,670,671,674,675,680,684,686,
687,689,691,692,693,694,695,696,698,699,700,702,703,705,706,707,710,711,713,
714,715,716,717,718,719,720,721,723,724,726,738,743,746,750,752,755,756,764,
765,767,768,769,771,772,773,775,777,782,784,785,786,788,791,794,797,799,801,
803,832,834,843,845,996,997,1000,1011,1014,1015,1017,1021,1022,1023,1025,1026,
1028,1030,1032,1035,1036,1038,1039,1040,1046,1047,1066,1067,1082,1084,1086,
1276,1277,1279,1286,1290,1292,1293,1458],[1,2,3,4,6,8,9,10,12,13,22,27,29,33,
35,36,38,40,42,72,80,81,82,87,105,111,112,115,117,119,271,278,281,309,311,523,
543,545,546,557,559,641,905,1111,1149,1153,1459],[1,2,3,4,6,8,9,11,12,13,22,
28,30,34,35,36,39,41,43,72,80,81,82,87,106,111,113,114,116,118,270,277,281,
310,312,523,544,545,546,557,558,642,904,1111,1150,1154,1460],[1,2,3,4,5,6,8,9,
10,12,13,23,27,29,33,35,36,38,40,42,73,80,82,84,85,90,105,111,112,115,117,119,
273,275,282,309,311,527,543,545,547,555,561,641,907,1112,1149,1156,1461],[1,2,
3,4,5,6,8,9,11,12,13,23,28,30,34,35,36,39,41,43,73,80,81,83,86,89,106,111,113,
114,116,118,274,276,283,310,312,526,544,546,548,556,560,642,906,1113,1150,
1155,1462],[1,2,3,4,5,7,8,11,12,16,22,23,29,34,37,51,60,69,73,77,79,81,83,86,
88,89,106,110,134,140,153,156,183,271,272,283,293,334,335,430,525,526,544,548,
550,552,553,556,564,614,643,923,924,1109,1113,1152,1158,1162,1163,1463],[1,2,
3,4,5,7,9,10,12,16,22,23,30,33,37,52,59,68,73,77,79,82,84,85,88,90,105,109,
135,139,152,157,184,270,272,282,294,333,336,431,525,527,543,547,549,551,554,
555,565,613,644,922,925,1110,1112,1151,1157,1161,1164,1464],[1,2,3,4,5,8,11,
12,13,16,18,20,21,22,23,29,31,34,39,49,51,53,60,61,65,68,73,81,83,86,89,93,95,
96,98,106,153,174,183,194,205,207,218,221,232,235,236,255,264,267,269,271,279,
283,290,334,355,402,480,489,526,532,544,548,556,573,589,592,607,744,857,887,
894,895,920,924,950,1113,1218,1219,1314,1317,1322,1465],[1,2,3,4,5,9,10,12,13,
16,18,20,21,22,23,30,32,33,38,50,52,54,59,61,64,69,73,82,84,85,90,94,95,96,98,
105,152,173,184,193,206,208,217,220,232,235,236,256,265,266,268,270,280,282,
289,333,356,403,481,490,527,532,543,547,555,574,588,593,606,745,858,888,893,
896,921,925,951,1112,1217,1220,1315,1316,1321,1466],[1,2,3,4,6,7,8,9,12,13,14,
15,19,22,29,30,35,36,37,44,46,47,48,55,57,58,62,63,66,70,72,80,81,82,87,91,97,
111,158,159,170,178,187,188,189,199,200,202,209,214,215,216,230,234,253,254,
261,270,271,281,288,331,332,365,401,479,482,483,523,530,545,546,557,566,567,
581,608,748,855,885,886,897,898,918,919,949,1111,1215,1216,1312,1313,1318,
1467],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,22,23,29,30,35,37,
38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,55,56,61,62,63,66,67,73,77,79,82,
84,87,88,89,90,91,92,93,94,95,96,97,98,99,100,109,110,116,117,125,126,127,133,
145,146,149,162,163,175,176,177,178,189,192,193,194,199,200,201,203,204,209,
210,211,212,213,232,235,236,249,251,253,257,258,266,268,270,272,277,284,285,
286,287,288,289,290,291,295,296,297,298,299,300,321,322,323,330,359,360,368,
369,376,445,458,459,460,469,470,525,527,532,549,551,553,554,558,566,568,570,
574,575,576,585,586,597,598,602,605,618,619,787,856,858,863,864,867,870,900,
908,909,910,917,930,931,935,938,940,942,945,946,952,954,1110,1121,1122,1237,
1239,1320,1325,1326,1468],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,
22,23,29,30,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,55,56,61,62,63,
66,67,73,77,79,81,83,87,88,89,90,91,92,93,94,95,96,97,98,99,100,109,110,116,
117,125,126,127,133,145,146,149,162,163,175,176,177,178,189,192,193,194,199,
200,201,203,204,209,210,211,212,213,232,235,236,249,252,254,257,258,267,269,
271,272,278,284,285,286,287,288,289,290,291,295,296,297,298,299,300,321,322,
323,330,359,360,368,369,376,445,458,459,460,469,470,525,526,532,550,552,553,
554,559,567,568,569,573,575,576,584,587,596,598,601,605,618,619,787,856,857,
862,864,867,871,899,908,909,911,916,929,931,934,938,939,941,945,946,953,954,
1109,1120,1122,1238,1239,1319,1324,1327,1469],[1,2,3,4,6,7,12,13,14,15,16,19,
20,22,35,37,44,46,55,61,62,66,67,71,72,87,88,91,92,95,97,100,133,146,175,189,
209,222,230,231,233,234,284,287,288,291,296,297,299,443,445,517,520,521,522,
528,529,530,531,533,534,618,848,851,852,853,854,859,860,865,866,872,873,1114,
1115,1116,1117,1118,1119,1311,1323,1328,1470],[1,3,5,16,23,24,98,101,244,542,
620,964,1125,1242,1329,1471],[1,3,5,15,17,23,70,75,239,292,301,623,874,968,
1130,1243,1472],[1,2,3,4,6,12,13,17,19,20,22,35,74,75,76,80,92,104,237,240,
241,281,301,306,307,308,535,623,624,631,635,638,967,979,984,1331,1473],[1,2,3,
6,8,9,10,11,12,13,15,16,17,27,28,29,30,33,34,35,36,38,39,40,41,42,43,45,46,47,
48,49,50,51,52,56,57,58,59,60,61,62,67,74,75,76,105,111,112,113,114,115,116,
117,118,119,124,130,131,132,133,152,154,159,160,166,169,183,184,185,186,187,
188,190,191,192,193,194,195,196,197,198,201,210,211,212,213,237,240,241,309,
311,312,315,318,319,320,326,327,328,329,330,332,333,338,339,344,348,350,354,
363,366,382,385,389,392,397,535,641,655,657,660,662,717,724,876,989,1131,1133,
1135,1334,1336,1338,1474],[1,2,3,6,8,9,10,11,12,13,15,16,17,27,28,29,30,33,34,
35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,56,57,58,59,60,61,62,67,74,75,
76,106,111,112,113,114,115,116,117,118,119,124,130,131,132,133,153,155,158,
161,167,168,183,184,185,186,187,188,190,191,192,193,194,195,196,197,198,201,
210,211,212,213,237,240,241,310,311,312,315,318,319,320,326,327,328,329,330,
331,334,337,340,343,347,349,353,364,367,381,386,390,391,397,535,642,656,658,
659,661,718,724,875,990,1132,1134,1136,1333,1335,1337,1475],[1,2,3,8,9,10,11,
12,13,15,16,17,27,28,30,33,36,38,40,42,43,46,48,49,50,51,52,56,57,59,60,61,63,
67,71,74,75,76,105,113,115,119,123,130,131,150,152,154,159,160,166,169,184,
188,191,193,195,197,198,210,213,222,223,224,239,240,309,318,328,333,339,348,
350,354,363,377,385,392,485,504,507,508,536,662,693,780,821,823,876,1080,1131,
1133,1135,1338,1340,1476],[1,2,3,8,9,10,11,12,13,15,16,17,27,28,29,34,36,39,
41,42,43,46,47,49,50,51,52,56,58,59,60,61,63,67,71,74,75,76,106,112,114,118,
122,130,132,151,153,155,158,161,167,168,183,187,190,194,196,197,198,211,213,
222,223,224,239,240,310,319,329,334,340,347,349,353,364,378,386,391,486,505,
506,508,536,661,694,779,820,822,875,1079,1132,1134,1136,1337,1339,1477],[1,2,
3,8,9,10,11,12,13,14,15,16,17,27,28,30,33,36,38,40,42,43,46,48,49,50,51,52,56,
57,59,60,61,66,67,71,74,75,76,105,113,115,119,126,130,131,152,154,160,162,166,
169,170,184,188,191,193,195,197,198,210,213,222,223,224,238,240,309,318,328,
333,339,348,350,354,363,384,385,392,477,504,507,508,537,662,696,780,818,826,
876,1078,1131,1133,1135,1338,1342,1478],[1,2,3,8,9,10,11,12,13,14,15,16,17,27,
28,29,34,36,39,41,42,43,46,47,49,50,51,52,56,58,59,60,61,66,67,71,74,75,76,
106,112,114,118,125,130,132,153,155,161,163,167,168,170,183,187,190,194,196,
197,198,211,213,222,223,224,238,240,310,319,329,334,340,347,349,353,364,383,
386,391,478,505,506,508,537,661,695,779,819,827,875,1077,1132,1134,1136,1337,
1341,1479],[1,2,3,4,7,8,9,12,15,19,20,22,25,29,30,37,45,46,47,48,62,63,81,82,
88,91,92,102,109,110,127,189,199,200,201,242,251,252,253,254,270,271,287,304,
323,538,551,552,566,567,569,570,879,910,911,1137,1343,1480],[1,2,3,4,6,8,9,10,
11,12,13,15,16,19,20,22,25,29,30,35,38,39,40,41,42,43,45,46,47,48,49,50,51,52,
56,61,62,67,81,82,87,92,95,102,116,117,133,192,193,194,201,210,211,212,213,
242,251,252,253,254,266,267,270,271,277,278,284,303,330,538,558,559,569,570,
573,574,584,585,586,587,878,916,917,1137,1343,1344,1481],[1,2,3,4,8,9,12,14,
15,19,20,22,25,29,30,45,46,47,48,62,66,81,82,92,97,100,102,125,126,145,146,
162,163,201,242,251,252,253,254,270,271,297,305,469,538,569,570,596,597,601,
602,884,934,935,1137,1343,1482],[1,3,24,25,26,101,103,620,621,622,964,965,
1351,1483],[1,2,3,4,8,9,12,15,17,19,20,22,29,30,45,46,47,48,62,72,74,75,76,81,
82,92,201,230,231,233,240,251,252,253,254,270,271,521,529,569,570,632,633,852,
980,981,1352,1484],[1,2,3,4,8,9,10,11,13,15,16,17,20,22,40,41,45,49,50,56,67,
72,75,76,81,82,95,212,231,233,241,251,252,266,267,277,278,522,528,529,584,585,
632,633,854,982,983,1352,1485],[1,2,3,4,6,8,9,12,13,17,19,20,22,35,36,72,74,
75,76,80,81,82,87,92,95,104,111,234,237,240,241,281,284,307,523,535,545,546,
557,631,635,861,979,984,1111,1147,1250,1486],[1,2,3,4,8,9,12,15,17,19,20,22,
29,30,45,46,47,48,62,72,75,81,82,92,201,231,234,239,251,252,253,254,270,271,
529,531,569,570,632,633,865,976,977,1352,1487],[1,2,3,4,6,7,12,13,14,17,19,20,
22,35,37,44,55,66,72,74,75,76,80,87,88,91,92,95,97,100,104,209,230,231,233,
234,238,240,261,281,284,287,288,291,296,297,299,306,307,308,521,523,530,531,
533,537,581,618,631,636,637,638,855,860,861,869,975,979,985,1123,1147,1260,
1353,1354,1356,1488],[1,2,3,4,6,8,9,10,11,12,13,15,16,22,27,28,29,30,33,34,35,
36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,56,57,58,59,60,61,62,67,80,81,87,
105,106,111,112,113,114,115,116,117,118,119,124,130,131,132,133,152,153,154,
155,158,159,160,161,166,167,168,169,183,184,185,186,187,188,190,191,192,193,
194,195,196,197,198,201,210,211,212,213,271,278,281,309,310,311,312,315,318,
319,320,326,327,328,329,330,331,332,333,334,337,338,339,340,343,344,347,348,
349,350,353,354,363,364,366,367,381,382,385,386,389,390,391,392,397,443,544,
546,557,559,641,642,655,656,657,658,659,660,661,662,680,717,718,724,905,918,
924,989,990,1014,1150,1153,1264,1361,1489],[1,2,3,4,6,8,9,10,11,12,13,15,16,
22,27,28,29,30,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,56,57,58,
59,60,61,62,67,80,82,87,105,106,111,112,113,114,115,116,117,118,119,124,130,
131,132,133,152,153,154,155,158,159,160,161,166,167,168,169,183,184,185,186,
187,188,190,191,192,193,194,195,196,197,198,201,210,211,212,213,270,277,281,
309,310,311,312,315,318,319,320,326,327,328,329,330,331,332,333,334,337,338,
339,340,343,344,347,348,349,350,353,354,363,364,366,367,381,382,385,386,389,
390,391,392,397,443,543,545,557,558,641,642,655,656,657,658,659,660,661,662,
680,717,718,724,904,919,925,989,990,1014,1149,1154,1264,1362,1490],[1,2,3,4,6,
7,8,9,10,11,12,13,15,16,22,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,45,
46,47,48,49,50,51,52,53,56,57,58,59,60,61,62,63,65,67,68,70,80,82,88,105,108,
109,111,112,113,114,115,116,117,118,119,120,123,124,129,130,131,132,133,135,
137,139,142,143,147,150,152,154,157,159,160,165,166,169,179,181,183,184,185,
186,187,188,190,191,192,193,194,195,196,197,198,200,201,202,205,207,210,211,
212,213,215,218,219,221,270,277,281,309,311,312,313,315,316,318,319,320,325,
326,327,328,329,330,332,333,336,338,339,341,344,345,348,350,351,354,361,363,
366,372,375,377,379,382,385,388,389,392,397,398,400,402,405,407,409,410,412,
415,418,420,421,424,425,431,433,435,437,439,446,448,450,453,455,456,461,463,
465,467,500,501,543,545,551,641,644,645,647,649,655,657,660,662,664,665,676,
678,681,683,685,687,692,717,720,723,724,759,761,763,775,776,782,783,785,789,
791,794,796,799,800,811,812,904,919,925,989,1008,1009,1030,1033,1058,1149,
1164,1180,1266,1362,1491],[1,2,3,4,6,7,8,9,10,11,12,13,15,16,22,27,28,29,30,
32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,54,56,57,58,59,60,
61,62,63,64,67,69,70,80,81,88,106,107,110,111,112,113,114,115,116,117,118,119,
121,122,124,128,130,131,132,133,134,136,140,141,144,148,151,153,155,156,158,
161,164,167,168,180,182,183,184,185,186,187,188,190,191,192,193,194,195,196,
197,198,199,201,202,206,208,210,211,212,213,216,217,219,220,271,278,281,310,
311,312,314,315,317,318,319,320,324,326,327,328,329,330,331,334,335,337,340,
342,343,346,347,349,352,353,362,364,367,373,374,378,380,381,386,387,390,391,
397,398,399,403,404,406,408,411,413,416,417,419,422,423,426,430,432,434,438,
440,447,449,451,452,454,457,462,464,466,468,499,502,544,546,552,642,643,646,
648,650,656,658,659,661,663,666,677,679,682,684,686,688,691,718,719,722,724,
758,760,762,774,777,781,784,786,788,790,795,797,798,801,810,813,905,918,924,
990,1007,1010,1029,1032,1057,1150,1163,1179,1265,1361,1492],[1,2,3,5,6,7,8,9,
10,11,12,13,15,16,23,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,
48,49,50,51,52,54,56,57,58,59,60,61,62,63,64,67,69,70,77,83,85,86,89,106,107,
110,111,112,113,114,115,116,117,118,119,121,122,124,128,130,131,132,133,134,
136,140,141,144,148,151,153,155,156,158,161,164,167,168,180,182,183,184,185,
186,187,188,190,191,192,193,194,195,196,197,198,199,201,202,206,208,210,211,
212,213,216,217,219,220,272,273,274,276,280,283,292,293,310,311,312,314,315,
317,318,319,320,324,326,327,328,329,330,331,334,335,337,340,342,343,346,347,
349,352,353,362,364,367,373,374,378,380,381,386,387,390,391,397,398,399,403,
404,406,408,411,413,416,417,419,422,423,426,430,432,434,438,440,447,449,451,
452,454,457,462,464,466,468,499,502,548,553,556,560,562,611,614,642,643,646,
648,650,656,658,659,661,663,666,677,679,682,684,686,688,691,718,719,722,724,
758,760,762,774,777,781,784,786,788,790,795,797,798,801,810,813,902,903,906,
990,1007,1010,1029,1032,1057,1155,1158,1159,1201,1202,1227,1265,1493],[1,2,3,
5,6,7,8,9,10,11,12,13,15,16,23,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,
43,45,46,47,48,49,50,51,52,53,56,57,58,59,60,61,62,63,65,67,68,70,77,84,85,86,
90,105,108,109,111,112,113,114,115,116,117,118,119,120,123,124,129,130,131,
132,133,135,137,139,142,143,147,150,152,154,157,159,160,165,166,169,179,181,
183,184,185,186,187,188,190,191,192,193,194,195,196,197,198,200,201,202,205,
207,210,211,212,213,215,218,219,221,272,273,274,275,279,282,292,294,309,311,
312,313,315,316,318,319,320,325,326,327,328,329,330,332,333,336,338,339,341,
344,345,348,350,351,354,361,363,366,372,375,377,379,382,385,388,389,392,397,
398,400,402,405,407,409,410,412,415,418,420,421,424,425,431,433,435,437,439,
446,448,450,453,455,456,461,463,465,467,500,501,547,554,555,561,563,612,613,
641,644,645,647,649,655,657,660,662,664,665,676,678,681,683,685,687,692,717,
720,723,724,759,761,763,775,776,782,783,785,789,791,794,796,799,800,811,812,
901,903,907,989,1008,1009,1030,1033,1058,1156,1157,1160,1200,1203,1228,1266,
1494],[1,2,3,4,6,8,9,10,11,12,13,15,16,22,27,28,29,30,33,34,35,36,38,39,40,41,
42,43,45,46,47,48,49,50,51,52,56,57,58,59,60,61,62,67,80,81,82,87,105,106,111,
112,113,114,115,116,117,118,119,124,130,131,132,133,152,153,154,155,158,159,
160,161,166,167,168,169,183,184,185,186,187,188,190,191,192,193,194,195,196,
197,198,201,210,211,212,213,270,271,277,278,281,309,310,311,312,315,318,319,
320,326,327,328,329,330,331,332,333,334,337,338,339,340,343,344,347,348,349,
350,353,354,363,364,366,367,381,382,385,386,389,390,391,392,397,443,545,546,
557,558,559,641,642,655,656,657,658,659,660,661,662,680,717,718,724,904,905,
926,989,990,1014,1153,1154,1214,1264,1495],[1,2,3,5,6,7,8,9,10,11,12,13,15,16,
23,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,
56,57,58,59,60,61,62,63,65,67,68,70,79,84,85,90,105,108,109,111,112,113,114,
115,116,117,118,119,120,123,124,129,130,131,132,133,135,137,139,142,143,147,
150,152,154,157,159,160,165,166,169,179,181,183,184,185,186,187,188,190,191,
192,193,194,195,196,197,198,200,201,202,205,207,210,211,212,213,215,218,219,
221,273,275,282,309,311,312,313,315,316,318,319,320,325,326,327,328,329,330,
332,333,336,338,339,341,344,345,348,350,351,354,361,363,366,372,375,377,379,
382,385,388,389,392,397,398,400,402,405,407,409,410,412,415,418,420,421,424,
425,431,433,435,437,439,446,448,450,453,455,456,461,463,465,467,500,501,547,
549,555,561,565,641,644,645,647,649,655,657,660,662,664,665,676,678,681,683,
685,687,692,717,720,723,724,759,761,763,775,776,782,783,785,789,791,794,796,
799,800,811,812,907,922,927,958,989,1008,1009,1030,1033,1058,1151,1156,1161,
1233,1266,1367,1496],[1,2,3,5,6,7,8,9,10,11,12,13,15,16,23,27,28,29,30,32,33,
34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,54,56,57,58,59,60,61,62,
63,64,67,69,70,79,83,86,89,106,107,110,111,112,113,114,115,116,117,118,119,
121,122,124,128,130,131,132,133,134,136,140,141,144,148,151,153,155,156,158,
161,164,167,168,180,182,183,184,185,186,187,188,190,191,192,193,194,195,196,
197,198,199,201,202,206,208,210,211,212,213,216,217,219,220,274,276,283,310,
311,312,314,315,317,318,319,320,324,326,327,328,329,330,331,334,335,337,340,
342,343,346,347,349,352,353,362,364,367,373,374,378,380,381,386,387,390,391,
397,398,399,403,404,406,408,411,413,416,417,419,422,423,426,430,432,434,438,
440,447,449,451,452,454,457,462,464,466,468,499,502,548,550,556,560,564,642,
643,646,648,650,656,658,659,661,663,666,677,679,682,684,686,688,691,718,719,
722,724,758,760,762,774,777,781,784,786,788,790,795,797,798,801,810,813,906,
923,928,957,990,1007,1010,1029,1032,1057,1152,1155,1162,1232,1265,1368,1497],[
1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,19,20,22,27,28,29,30,31,33,34,35,36,37,
38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,65,
66,67,70,80,81,92,106,108,109,111,112,113,114,115,116,117,118,119,120,123,124,
126,129,130,131,132,133,137,142,143,147,150,153,154,155,157,158,159,160,161,
162,165,166,167,168,169,170,172,174,176,178,179,181,183,184,185,186,187,188,
190,191,192,193,194,195,196,197,198,200,201,202,203,205,207,209,210,211,212,
213,215,219,252,254,261,267,271,278,281,310,311,312,313,315,316,318,319,320,
322,325,326,327,328,329,330,331,332,334,336,337,338,340,341,343,344,345,347,
348,349,350,351,353,355,357,361,364,365,366,367,368,370,375,377,379,381,382,
384,386,388,389,390,391,394,395,397,398,405,410,415,418,420,421,424,435,437,
446,448,450,453,456,461,463,465,471,472,474,476,484,492,494,500,544,546,569,
587,642,647,649,652,653,655,656,658,659,661,664,669,671,673,675,683,685,692,
699,701,706,711,718,720,724,733,734,737,738,767,769,776,783,785,789,796,800,
885,889,894,898,905,918,924,990,991,994,1015,1018,1023,1033,1048,1052,1066,
1071,1150,1171,1223,1269,1357,1359,1361,1498],[1,2,3,4,6,7,8,9,10,11,12,13,14,
15,16,19,20,22,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,
49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,66,67,70,80,82,92,105,107,110,
111,112,113,114,115,116,117,118,119,121,122,124,125,128,130,131,132,133,136,
141,144,148,151,152,154,155,156,158,159,160,161,163,164,166,167,168,169,170,
171,173,177,178,180,182,183,184,185,186,187,188,190,191,192,193,194,195,196,
197,198,199,201,202,204,206,208,209,210,211,212,213,216,219,251,253,261,266,
270,277,281,309,311,312,314,315,317,318,319,320,321,324,326,327,328,329,330,
331,332,333,335,337,338,339,342,343,344,346,347,348,349,350,352,354,356,358,
362,363,365,366,367,369,371,374,378,380,381,382,383,385,387,389,390,392,393,
396,397,398,404,411,416,417,419,422,423,434,438,447,449,451,452,457,462,464,
466,471,472,473,475,484,491,493,499,543,545,570,586,641,648,650,651,654,655,
656,657,660,662,663,668,670,672,674,684,686,691,700,702,705,712,717,719,724,
733,735,736,739,766,768,777,784,786,788,797,801,886,890,893,897,904,919,925,
989,992,993,1016,1017,1024,1032,1047,1051,1065,1072,1149,1172,1224,1270,1358,
1360,1362,1499],[1,2,3,4,6,8,9,10,11,12,13,15,16,20,22,27,28,29,30,32,33,34,
35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,54,56,57,58,59,60,61,62,64,67,
69,80,82,95,105,107,111,112,113,114,115,116,117,118,119,121,124,128,130,131,
132,133,134,140,141,144,148,151,152,153,154,156,158,159,160,161,164,166,167,
168,169,171,173,180,182,183,184,185,186,187,188,190,191,192,193,194,195,196,
197,198,201,206,208,210,211,212,213,217,220,251,266,270,277,281,309,311,312,
314,315,318,319,320,324,326,327,328,329,330,332,333,337,338,339,340,342,344,
346,348,350,352,354,356,362,363,364,366,367,371,373,374,380,381,382,385,387,
389,391,392,396,397,399,403,413,417,419,423,426,430,432,440,447,451,452,454,
457,464,466,468,481,487,490,496,497,502,543,545,574,585,641,650,651,655,657,
659,660,662,666,670,672,688,691,703,710,715,717,722,724,727,731,741,745,773,
774,781,786,790,795,798,890,893,904,919,925,989,992,1022,1028,1029,1054,1064,
1075,1149,1175,1217,1271,1358,1362,1500],[1,2,3,4,6,8,9,10,11,12,13,15,16,20,
22,27,28,29,30,31,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,56,
57,58,59,60,61,62,65,67,68,80,81,95,106,108,111,112,113,114,115,116,117,118,
119,120,124,129,130,131,132,133,135,139,142,143,147,150,152,153,155,157,158,
159,160,161,165,166,167,168,169,172,174,179,181,183,184,185,186,187,188,190,
191,192,193,194,195,196,197,198,201,205,207,210,211,212,213,218,221,252,267,
271,278,281,310,311,312,313,315,318,319,320,325,326,327,328,329,330,331,334,
337,338,339,340,341,343,345,347,349,351,353,355,361,363,364,366,367,370,372,
375,379,381,382,386,388,390,391,392,395,397,400,402,412,418,420,424,425,431,
433,439,446,450,453,455,456,463,465,467,480,488,489,495,498,501,544,546,573,
584,642,649,652,656,658,659,660,661,665,671,673,687,692,704,709,716,718,723,
724,728,732,740,744,772,775,782,785,791,794,799,889,894,905,918,924,990,991,
1021,1027,1030,1053,1063,1076,1150,1176,1218,1272,1357,1361,1501],[1,2,3,4,6,
7,8,9,10,11,12,13,14,15,16,19,22,27,28,29,30,33,34,35,36,37,38,39,40,41,42,43,
44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,62,63,66,67,70,80,82,91,105,
109,110,111,112,113,114,115,116,117,118,119,122,123,124,125,126,127,130,131,
132,133,138,145,146,149,151,152,154,158,159,160,162,163,166,169,170,175,176,
177,178,179,180,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,
198,199,200,201,202,203,204,209,210,211,212,213,214,215,216,219,253,261,270,
277,281,309,311,312,315,316,317,318,319,320,321,322,323,326,327,328,329,330,
331,332,333,338,339,344,348,350,352,354,357,358,359,360,363,365,366,368,369,
376,378,382,383,384,385,389,392,393,394,397,401,404,405,414,427,428,429,436,
441,442,445,458,459,460,469,470,474,476,478,479,482,483,486,492,503,543,545,
566,581,641,648,653,654,655,657,660,662,667,668,674,689,690,694,695,698,707,
714,717,721,724,729,734,747,748,764,770,778,787,792,802,886,897,904,919,925,
989,993,1019,1026,1031,1046,1050,1068,1074,1149,1170,1215,1273,1360,1362,
1502],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,19,22,27,28,29,30,33,34,35,36,37,
38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,62,63,66,67,
70,80,81,91,106,109,110,111,112,113,114,115,116,117,118,119,122,123,124,125,
126,127,130,131,132,133,138,145,146,149,150,153,155,158,159,161,162,163,167,
168,170,175,176,177,178,179,180,183,184,185,186,187,188,189,190,191,192,193,
194,195,196,197,198,199,200,201,202,203,204,209,210,211,212,213,214,215,216,
219,254,261,271,278,281,310,311,312,315,316,317,318,319,320,321,322,323,326,
327,328,329,330,331,332,334,337,340,343,347,349,351,353,357,358,359,360,364,
365,367,368,369,376,377,381,383,384,386,390,391,393,394,397,401,404,405,414,
427,428,429,436,441,442,445,458,459,460,469,470,473,475,477,479,482,483,485,
491,503,544,546,567,581,642,647,653,654,656,658,659,661,667,669,675,689,690,
693,696,697,708,713,718,721,724,730,735,746,748,765,771,778,787,792,802,885,
898,905,918,924,990,994,1020,1025,1031,1045,1049,1067,1073,1150,1169,1216,
1274,1359,1361,1503],[1,2,3,4,6,8,9,10,11,12,13,14,15,16,22,27,28,29,30,33,34,
35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,56,57,58,59,60,61,62,64,66,67,
80,81,100,106,111,112,113,114,115,116,117,118,119,124,125,128,130,131,132,133,
153,155,156,158,161,163,167,168,170,171,173,183,184,185,186,187,188,190,191,
192,193,194,195,196,197,198,201,210,211,212,213,271,278,281,310,311,312,315,
318,319,320,326,327,328,329,330,331,334,337,340,343,347,349,353,364,367,380,
381,383,386,390,391,396,397,471,475,481,487,493,497,544,546,596,642,656,658,
659,661,668,670,703,705,710,712,718,724,905,918,924,990,1024,1028,1150,1194,
1267,1361,1504],[1,2,3,4,6,8,9,10,11,12,13,14,15,16,22,27,28,29,30,33,34,35,
36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,56,57,58,59,60,61,62,65,66,67,80,
82,100,105,111,112,113,114,115,116,117,118,119,124,126,129,130,131,132,133,
152,154,157,159,160,162,166,169,170,172,174,183,184,185,186,187,188,190,191,
192,193,194,195,196,197,198,201,210,211,212,213,270,277,281,309,311,312,315,
318,319,320,326,327,328,329,330,332,333,338,339,344,348,350,354,363,366,379,
382,384,385,389,392,395,397,472,476,480,488,494,498,543,545,597,641,655,657,
660,662,669,671,704,706,709,711,717,724,904,919,925,989,1023,1027,1149,1195,
1268,1362,1505],[1,2,3,4,6,8,9,10,11,12,13,14,15,16,22,27,28,29,30,33,34,35,
36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,56,57,58,59,60,61,62,63,66,67,71,
80,82,97,105,111,112,113,114,115,116,117,118,119,123,124,126,130,131,132,133,
150,152,154,159,160,162,166,169,170,176,178,183,184,185,186,187,188,190,191,
192,193,194,195,196,197,198,201,210,211,212,213,222,223,224,270,277,281,309,
311,312,315,318,319,320,326,327,328,329,330,332,333,338,339,344,348,350,354,
363,366,377,382,384,385,389,392,394,397,477,482,485,491,504,505,506,507,508,
517,543,545,602,608,641,655,657,660,662,675,693,696,713,717,724,779,780,793,
818,821,823,826,904,919,925,989,1025,1044,1078,1080,1149,1181,1211,1288,1362,
1506],[1,2,3,4,6,8,9,10,11,12,13,14,15,16,22,27,28,29,30,33,34,35,36,38,39,40,
41,42,43,45,46,47,48,49,50,51,52,56,57,58,59,60,61,62,63,66,67,71,80,81,97,
106,111,112,113,114,115,116,117,118,119,122,124,125,130,131,132,133,151,153,
155,158,161,163,167,168,170,177,178,183,184,185,186,187,188,190,191,192,193,
194,195,196,197,198,201,210,211,212,213,222,223,224,271,278,281,310,311,312,
315,318,319,320,326,327,328,329,330,331,334,337,340,343,347,349,353,364,367,
378,381,383,386,390,391,393,397,478,483,486,492,504,505,506,507,508,517,544,
546,601,608,642,656,658,659,661,674,694,695,714,718,724,779,780,793,819,820,
822,827,905,918,924,990,1026,1044,1077,1079,1150,1182,1210,1287,1361,1507],[1,
2,3,5,7,8,9,10,11,12,13,14,15,16,21,23,27,28,29,31,34,36,37,39,41,42,43,46,47,
48,49,50,51,52,53,54,55,56,58,59,60,61,63,64,65,66,67,68,69,71,79,83,86,93,
106,108,110,112,114,118,122,125,128,129,130,132,134,135,140,141,144,148,149,
153,155,156,161,163,164,167,168,170,172,174,175,176,180,181,182,183,187,190,
194,196,197,198,199,202,203,205,207,211,213,217,218,220,221,222,223,224,225,
226,227,228,258,264,269,274,276,283,310,317,319,325,329,334,335,340,347,349,
353,355,357,359,362,364,370,373,374,380,383,386,391,395,400,402,406,408,413,
422,423,426,427,429,430,432,439,440,449,452,454,457,459,462,468,478,480,488,
489,493,495,502,505,506,508,510,511,513,514,515,516,518,548,550,564,577,589,
643,652,661,665,679,686,689,695,704,705,716,728,732,740,743,744,756,762,774,
779,784,795,807,809,813,814,817,819,824,827,830,835,837,840,842,895,899,906,
923,928,957,960,997,1007,1056,1062,1076,1077,1085,1090,1095,1101,1104,1152,
1173,1221,1230,1302,1368,1398,1508],[1,2,3,5,7,8,9,10,11,12,13,14,15,16,21,23,
27,28,30,32,33,36,37,38,40,42,43,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,
63,64,65,66,67,68,69,71,79,84,85,94,105,107,109,113,115,119,123,126,128,129,
130,131,134,135,139,142,143,147,149,152,154,157,160,162,165,166,169,170,171,
173,175,177,179,181,182,184,188,191,193,195,197,198,200,202,204,206,208,210,
213,217,218,220,221,222,223,224,225,226,227,228,258,265,268,273,275,282,309,
316,318,324,328,333,336,339,348,350,354,356,358,360,361,363,371,372,375,379,
384,385,392,396,399,403,407,409,412,421,424,425,427,428,431,433,439,440,448,
453,455,456,458,461,467,477,481,487,490,494,496,501,504,507,508,509,512,513,
514,515,516,518,547,549,565,578,588,644,651,662,666,678,685,690,696,703,706,
715,727,731,741,742,745,757,763,775,780,783,794,806,808,812,815,816,818,825,
826,831,834,837,841,843,896,900,907,922,927,958,959,998,1008,1055,1061,1075,
1078,1086,1089,1094,1102,1105,1151,1174,1222,1231,1301,1367,1397,1509],[1,2,3,
5,7,8,9,10,11,12,13,15,16,23,27,28,29,34,36,37,39,41,42,43,46,47,48,49,50,51,
52,54,56,57,58,59,60,61,63,64,65,67,69,71,79,83,86,98,106,110,112,114,118,120,
122,128,129,130,131,132,134,139,140,141,142,144,147,148,151,153,155,156,158,
159,160,161,164,165,166,167,168,172,174,180,182,183,187,190,194,196,197,198,
199,202,211,213,217,220,222,223,224,274,276,283,310,317,319,329,334,335,340,
347,349,353,362,364,373,374,378,380,382,386,388,391,395,406,408,412,413,422,
423,426,430,432,440,449,452,454,457,462,463,467,468,474,479,480,486,488,502,
505,506,508,509,512,548,550,564,604,607,643,661,673,679,686,694,704,707,723,
762,768,772,774,779,784,795,813,820,822,824,831,833,840,844,847,906,923,928,
957,1007,1036,1062,1063,1070,1079,1083,1152,1183,1212,1235,1305,1368,1510],[1,
2,3,5,7,8,9,10,11,12,13,15,16,23,27,28,30,33,36,37,38,40,42,43,46,47,48,49,50,
51,52,53,56,57,58,59,60,61,63,64,65,67,68,71,79,84,85,98,105,109,113,115,119,
121,123,128,129,130,131,132,135,139,140,141,142,143,147,148,150,152,154,157,
158,159,160,161,164,165,166,167,169,171,173,179,181,184,188,191,193,195,197,
198,200,202,210,213,218,221,222,223,224,273,275,282,309,316,318,328,333,336,
339,348,350,354,361,363,372,375,377,379,381,385,387,392,396,407,409,412,413,
421,424,425,431,433,439,448,453,455,456,461,464,467,468,473,479,481,485,487,
501,504,507,508,510,511,547,549,565,603,606,644,662,672,678,685,693,703,708,
722,763,769,773,775,780,783,794,812,821,823,825,830,832,841,845,847,907,922,
927,958,1008,1037,1061,1064,1069,1080,1084,1151,1184,1213,1236,1306,1367,
1511],[1,2,3,5,6,8,9,10,11,12,13,15,16,18,21,23,27,28,29,30,32,33,34,35,36,38,
39,40,41,42,43,45,46,47,48,49,50,51,52,54,56,57,58,59,60,61,62,64,67,69,84,85,
89,90,93,94,96,98,99,105,107,111,112,113,114,115,116,117,118,119,121,124,128,
130,131,132,133,134,140,141,144,148,151,152,153,154,156,158,159,160,161,164,
166,167,168,169,171,173,180,182,183,184,185,186,187,188,190,191,192,193,194,
195,196,197,198,201,206,208,210,211,212,213,217,220,256,260,263,265,268,273,
275,280,282,285,286,289,290,295,298,300,309,311,312,314,315,318,319,320,324,
326,327,328,329,330,332,333,337,338,339,340,342,344,346,348,350,352,354,356,
362,363,364,366,367,371,373,374,380,381,382,385,387,389,391,392,396,397,399,
403,413,417,419,423,426,430,432,440,447,451,452,454,457,464,466,468,481,487,
490,496,497,502,547,555,561,562,571,578,579,583,588,590,593,595,599,603,606,
619,641,650,651,655,657,659,660,662,666,670,672,688,691,703,710,715,717,722,
724,727,731,741,745,773,774,781,786,790,795,798,888,891,896,907,912,914,921,
933,937,943,948,951,956,989,992,1022,1028,1029,1054,1064,1075,1156,1165,1167,
1174,1177,1184,1193,1220,1225,1241,1271,1366,1369,1376,1379,1388,1391,1395,
1512],[1,2,3,5,6,8,9,10,11,12,13,15,16,18,21,23,27,28,29,30,31,33,34,35,36,38,
39,40,41,42,43,45,46,47,48,49,50,51,52,53,56,57,58,59,60,61,62,65,67,68,83,86,
89,90,93,94,96,98,99,106,108,111,112,113,114,115,116,117,118,119,120,124,129,
130,131,132,133,135,139,142,143,147,150,152,153,155,157,158,159,160,161,165,
166,167,168,169,172,174,179,181,183,184,185,186,187,188,190,191,192,193,194,
195,196,197,198,201,205,207,210,211,212,213,218,221,255,259,262,264,269,274,
276,279,283,285,286,289,290,295,298,300,310,311,312,313,315,318,319,320,325,
326,327,328,329,330,331,334,337,338,339,340,341,343,345,347,349,351,353,355,
361,363,364,366,367,370,372,375,379,381,382,386,388,390,391,392,395,397,400,
402,412,418,420,424,425,431,433,439,446,450,453,455,456,463,465,467,480,488,
489,495,498,501,548,556,560,563,572,577,580,582,589,591,592,594,600,604,607,
619,642,649,652,656,658,659,660,661,665,671,673,687,692,704,709,716,718,723,
724,728,732,740,744,772,775,782,785,791,794,799,887,892,895,906,913,915,920,
932,936,944,947,950,955,990,991,1021,1027,1030,1053,1063,1076,1155,1166,1168,
1173,1178,1183,1192,1219,1226,1240,1272,1365,1370,1375,1380,1387,1392,1396,
1513],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,19,20,22,27,28,29,30,33,34,35,36,
37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,62,63,66,
67,70,80,81,87,88,91,92,95,97,100,105,109,110,111,112,113,114,115,116,117,118,
119,122,123,124,125,126,127,130,131,132,133,138,145,146,149,151,152,154,158,
159,160,162,163,166,169,170,175,176,177,178,179,180,183,184,185,186,187,188,
189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,209,210,211,
212,213,214,215,216,219,252,254,261,267,271,278,281,284,287,288,291,296,297,
299,309,311,312,315,316,317,318,319,320,321,322,323,326,327,328,329,330,331,
332,333,338,339,344,348,350,352,354,357,358,359,360,363,365,366,368,369,376,
378,382,383,384,385,389,392,393,394,397,401,404,405,414,427,428,429,436,441,
442,445,458,459,460,469,470,474,476,478,479,482,483,486,492,503,546,552,557,
559,567,569,573,581,584,587,596,601,608,618,641,648,653,654,655,657,660,662,
667,668,674,689,690,694,695,698,707,714,717,721,724,729,734,747,748,764,770,
778,787,792,802,885,889,898,905,911,916,918,929,934,939,941,949,953,989,993,
1019,1026,1031,1046,1050,1068,1074,1153,1169,1171,1176,1179,1182,1194,1216,
1223,1238,1273,1363,1372,1374,1378,1386,1389,1393,1514],[1,2,3,4,6,7,8,9,10,
11,12,13,14,15,16,19,20,22,27,28,29,30,33,34,35,36,37,38,39,40,41,42,43,44,45,
46,47,48,49,50,51,52,55,56,57,58,59,60,61,62,63,66,67,70,80,82,87,88,91,92,95,
97,100,106,109,110,111,112,113,114,115,116,117,118,119,122,123,124,125,126,
127,130,131,132,133,138,145,146,149,150,153,155,158,159,161,162,163,167,168,
170,175,176,177,178,179,180,183,184,185,186,187,188,189,190,191,192,193,194,
195,196,197,198,199,200,201,202,203,204,209,210,211,212,213,214,215,216,219,
251,253,261,266,270,277,281,284,287,288,291,296,297,299,310,311,312,315,316,
317,318,319,320,321,322,323,326,327,328,329,330,331,332,334,337,340,343,347,
349,351,353,357,358,359,360,364,365,367,368,369,376,377,381,383,384,386,390,
391,393,394,397,401,404,405,414,427,428,429,436,441,442,445,458,459,460,469,
470,473,475,477,479,482,483,485,491,503,545,551,557,558,566,570,574,581,585,
586,597,602,608,618,642,647,653,654,656,658,659,661,667,669,675,689,690,693,
696,697,708,713,718,721,724,730,735,746,748,765,771,778,787,792,802,886,890,
897,904,910,917,919,930,935,940,942,949,952,990,994,1020,1025,1031,1045,1049,
1067,1073,1154,1170,1172,1175,1180,1181,1195,1215,1224,1237,1274,1364,1371,
1373,1377,1385,1390,1394,1515],[1,2,3,5,8,9,10,11,12,13,15,16,18,21,23,27,28,
29,31,32,33,34,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,56,57,58,59,
60,61,62,63,64,65,67,68,69,70,71,85,86,89,90,93,94,96,98,99,106,107,108,112,
114,115,118,121,122,124,128,129,130,132,134,135,136,140,141,144,148,151,153,
155,156,158,161,164,167,168,172,174,180,181,182,183,185,187,190,192,194,195,
196,197,198,205,206,207,208,210,211,212,213,216,217,218,219,220,221,222,223,
224,225,226,227,228,255,256,259,260,263,264,265,273,274,275,279,280,285,286,
289,290,294,295,298,300,310,314,319,320,324,325,326,329,334,340,342,343,346,
347,349,352,353,355,362,364,367,370,373,374,378,386,387,390,391,395,400,402,
406,408,411,413,416,417,419,422,426,430,432,434,438,439,440,447,449,451,452,
454,457,462,464,466,468,480,486,488,489,495,499,502,505,506,508,510,511,513,
514,515,516,518,561,562,563,571,572,577,578,579,582,583,590,592,593,595,599,
603,609,613,615,619,646,652,658,661,665,677,679,684,688,694,704,716,726,728,
732,740,744,750,758,760,774,777,779,781,786,797,798,801,807,809,810,813,814,
817,820,822,829,830,833,837,838,844,901,912,913,914,933,937,943,948,956,962,
996,1010,1056,1060,1076,1079,1083,1091,1097,1099,1106,1185,1190,1197,1199,
1203,1206,1208,1241,1299,1382,1400,1401,1406,1409,1410,1412,1516],[1,2,3,5,8,
9,10,11,12,13,15,16,18,21,23,27,28,30,31,32,33,34,36,38,39,40,41,42,43,45,46,
47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,85,86,89,
90,93,94,96,98,99,105,107,108,113,114,115,119,120,123,124,128,129,130,131,134,
135,137,139,142,143,147,150,152,154,157,159,160,165,166,169,171,173,179,181,
182,184,186,188,191,192,193,195,196,197,198,205,206,207,208,210,211,212,213,
215,217,218,219,220,221,222,223,224,225,226,227,228,255,256,259,260,262,264,
265,273,274,276,279,280,285,286,289,290,293,295,298,300,309,313,318,320,324,
325,327,328,333,339,341,344,345,348,350,351,354,356,361,363,366,371,372,375,
377,385,388,389,392,396,399,403,407,409,410,412,415,418,420,421,425,431,433,
435,437,439,440,446,448,450,453,455,456,461,463,465,467,481,485,487,490,496,
500,501,504,507,508,509,512,513,514,515,516,518,560,562,563,571,572,577,578,
580,582,583,591,592,593,594,600,604,610,614,616,619,645,651,657,662,666,676,
678,683,687,693,703,715,725,727,731,741,745,751,759,761,775,776,780,782,785,
796,799,800,806,808,811,812,815,816,821,823,828,831,832,837,839,845,902,912,
913,915,932,936,944,947,955,961,995,1009,1055,1059,1075,1080,1084,1092,1096,
1100,1107,1186,1189,1196,1198,1202,1205,1207,1240,1300,1381,1399,1402,1407,
1408,1411,1413,1517],[1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,18,21,23,27,28,29,
30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,
56,57,58,59,60,61,62,63,64,65,66,67,70,77,85,86,89,90,93,94,96,98,99,107,108,
109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,
128,129,130,131,132,133,136,137,138,141,142,143,144,145,146,147,148,149,150,
151,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,175,
176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,
195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,
214,215,216,219,249,255,256,257,259,260,262,263,264,265,272,273,274,275,276,
279,280,285,286,289,290,292,295,298,300,311,312,313,314,315,316,317,318,319,
320,321,322,323,324,325,326,327,328,329,330,331,332,335,336,337,338,341,342,
343,344,345,346,347,348,349,350,351,352,357,358,359,360,361,362,365,366,367,
368,369,374,375,376,377,378,379,380,381,382,383,384,387,388,389,390,393,394,
397,398,401,404,405,410,411,414,415,416,417,418,419,420,421,422,423,424,427,
428,429,434,435,436,437,438,441,442,444,445,446,447,448,449,450,451,452,453,
456,457,458,459,460,461,462,463,464,465,466,469,470,471,472,473,474,475,476,
479,482,483,484,491,492,499,500,503,553,554,560,561,562,563,568,571,572,575,
576,577,578,579,580,582,583,590,591,592,593,594,595,598,599,600,603,604,605,
611,612,617,619,647,648,649,650,653,654,655,656,663,664,667,683,684,685,686,
689,690,691,692,697,698,699,700,701,702,707,708,711,712,713,714,719,720,721,
724,729,730,733,734,735,736,737,738,739,746,747,748,749,752,753,754,755,776,
777,778,783,784,785,786,787,788,789,792,796,797,800,801,802,803,804,805,903,
908,909,912,913,914,915,931,932,933,936,937,938,943,944,945,946,947,948,954,
955,956,963,988,999,1000,1001,1002,1011,1012,1013,1031,1032,1033,1071,1072,
1073,1074,1093,1103,1187,1188,1191,1200,1201,1204,1209,1239,1240,1241,1291,
1383,1384,1403,1404,1405,1414,1415,1518],[1,3,16,24,68,69,71,101,228,620,964,
1242,1429,1430,1431,1519],[1,2,3,4,5,6,12,13,15,16,19,20,22,35,61,62,67,72,73,
78,80,87,92,95,133,230,231,233,234,281,284,302,443,520,521,522,523,524,528,
529,627,851,852,853,854,861,926,969,1114,1247,1311,1520],[1,2,3,7,8,9,10,11,
12,13,15,26,27,28,29,30,31,32,36,37,42,43,45,46,47,48,57,58,62,63,70,103,107,
108,109,110,112,113,120,121,122,123,124,127,136,137,138,179,180,185,186,187,
188,189,199,200,201,202,214,215,216,219,313,314,315,316,317,323,398,401,404,
405,437,438,441,442,444,628,629,663,664,667,749,973,974,988,1521],[1,2,3,5,7,
9,10,12,16,17,18,30,33,37,52,59,68,74,79,84,85,105,109,135,139,152,157,184,
256,333,336,431,547,549,565,634,644,876,888,1131,1151,1522],[1,2,3,5,7,8,11,
12,16,17,18,29,34,37,51,60,69,74,79,83,86,106,110,134,140,153,156,183,255,334,
335,430,548,550,564,634,643,875,887,1132,1152,1523],[1,2,3,4,6,8,9,10,12,13,
17,27,29,33,35,36,38,40,42,76,80,82,104,105,111,112,115,117,119,237,309,311,
543,545,635,641,876,1135,1149,1254,1334,1524],[1,2,3,4,6,8,9,11,12,13,17,28,
30,34,35,36,39,41,43,76,80,81,104,106,111,113,114,116,118,237,310,312,544,546,
635,642,875,1136,1150,1253,1333,1525],[1,2,3,4,9,10,12,14,16,17,22,30,33,52,
59,66,71,74,82,97,104,105,152,162,184,223,238,270,307,333,477,507,543,602,636,
818,876,925,1131,1211,1254,1342,1436,1526],[1,2,3,4,8,11,12,14,16,17,22,29,34,
51,60,66,71,74,81,97,104,106,153,163,183,224,238,271,307,334,478,506,544,601,
636,819,875,924,1132,1210,1253,1341,1435,1527],[1,2,3,4,5,8,9,10,11,13,15,16,
18,20,21,22,23,25,40,41,45,49,50,56,67,73,81,82,83,84,89,90,93,94,95,96,98,99,
102,212,232,235,236,242,245,247,251,252,266,267,268,269,277,278,285,286,289,
290,295,298,300,526,527,532,538,540,584,585,619,639,857,858,862,863,870,871,
986,1120,1121,1137,1344,1440,1528],[1,2,3,6,7,8,9,10,11,12,13,14,15,16,27,28,
29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,
55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,105,106,107,108,109,110,
111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,
130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,
149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,
168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,
187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,
206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,
225,226,227,228,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,
324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,
343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,
362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,
381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,
400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,
419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,
438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,
457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,
476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,
495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,
514,515,516,517,518,641,642,643,644,645,646,647,648,649,650,651,652,653,654,
655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,
674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,
693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,
712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,
731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,
750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,
769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,
788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,
807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,
826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,
845,846,847,848,849,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,
1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,
1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,
1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,
1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,
1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,
1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,
1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,
1107,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,
1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,
1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,
1308,1309,1310,1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,1455,
1456,1457,1458,1529],[1,4,24,25,26,242,248,620,621,622,1129,1351,1530],[1,5,
24,25,26,244,245,246,620,621,622,1125,1126,1127,1351,1531],[1,5,24,25,26,243,
245,247,620,621,622,1124,1128,1351,1532],[1,2,4,5,6,7,14,17,18,19,22,44,72,73,
74,77,79,80,87,88,100,104,234,235,249,261,296,302,307,523,525,625,631,634,867,
869,970,1147,1148,1533],[1,2,3,4,5,6,8,9,11,12,13,15,16,20,21,23,28,30,31,34,
35,36,39,41,43,45,47,49,51,53,57,59,65,73,80,81,83,86,89,93,98,106,108,111,
113,114,116,118,120,129,157,160,165,166,172,174,179,181,186,197,205,207,232,
252,264,267,269,274,276,283,290,310,312,313,325,338,345,355,361,370,379,388,
395,526,544,546,548,556,560,577,589,604,607,642,649,652,671,673,857,889,894,
895,906,947,950,991,1113,1150,1155,1173,1183,1322,1357,1380,1462,1534],[1,2,3,
4,5,6,8,9,10,12,13,15,16,20,21,23,27,29,32,33,35,36,38,40,42,45,48,50,52,54,
58,60,64,73,80,82,84,85,90,94,98,105,107,111,112,115,117,119,121,128,156,161,
164,167,171,173,180,182,185,198,206,208,232,251,265,266,268,273,275,282,289,
309,311,314,324,337,346,356,362,371,380,387,396,527,543,545,547,555,561,578,
588,603,606,641,650,651,670,672,858,890,893,896,907,948,951,992,1112,1149,
1156,1174,1184,1321,1358,1379,1461,1535],[1,2,3,4,6,7,8,9,11,12,13,14,15,19,
22,28,30,34,35,36,37,39,41,43,44,46,47,48,55,57,63,66,72,80,81,82,87,91,97,
106,109,111,113,114,116,118,123,126,150,159,162,170,176,178,179,188,200,202,
203,209,230,253,254,261,270,277,281,288,310,312,316,322,332,351,357,365,368,
377,384,394,523,544,545,546,557,558,566,581,602,608,642,647,653,669,675,855,
885,897,898,904,942,949,994,1111,1150,1154,1170,1181,1318,1359,1377,1460,
1536],[1,2,3,4,6,7,8,9,10,12,13,14,15,19,22,27,29,33,35,36,37,38,40,42,44,46,
47,48,55,58,63,66,72,80,81,82,87,91,97,105,110,111,112,115,117,119,122,125,
151,158,163,170,177,178,180,187,199,202,204,209,230,253,254,261,271,278,281,
288,309,311,317,321,331,352,358,365,369,378,383,393,523,543,545,546,557,559,
567,581,601,608,641,648,654,668,674,855,886,897,898,905,941,949,993,1111,1149,
1153,1169,1182,1318,1360,1378,1459,1537],[1,2,3,4,5,6,8,9,10,11,12,13,15,16,
18,21,22,23,27,28,29,30,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,
56,57,58,59,60,61,62,67,73,80,82,84,85,90,93,96,105,111,112,113,114,115,116,
117,118,119,124,130,131,132,133,152,154,159,160,166,169,183,184,185,186,187,
188,190,191,192,193,194,195,196,197,198,201,210,211,212,213,235,256,260,263,
270,273,275,277,281,282,285,309,311,312,315,318,319,320,326,327,328,329,330,
332,333,338,339,344,348,350,354,363,366,382,385,389,392,397,527,543,545,547,
555,561,571,579,590,595,641,655,657,660,662,717,724,863,888,891,904,907,914,
919,925,989,1112,1149,1156,1165,1167,1315,1362,1366,1461,1538],[1,2,3,4,5,6,8,
9,10,11,12,13,15,16,18,21,22,23,27,28,29,30,33,34,35,36,38,39,40,41,42,43,45,
46,47,48,49,50,51,52,56,57,58,59,60,61,62,67,73,80,81,83,86,89,94,96,106,111,
112,113,114,115,116,117,118,119,124,130,131,132,133,153,155,158,161,167,168,
183,184,185,186,187,188,190,191,192,193,194,195,196,197,198,201,210,211,212,
213,235,255,259,262,271,274,276,278,281,283,286,310,311,312,315,318,319,320,
326,327,328,329,330,331,334,337,340,343,347,349,353,364,367,381,386,390,391,
397,526,544,546,548,556,560,572,580,591,594,642,656,658,659,661,718,724,862,
887,892,905,906,915,918,924,990,1113,1150,1155,1166,1168,1314,1361,1365,1462,
1539],[1,2,3,4,6,8,9,10,11,12,13,15,16,19,20,22,27,28,29,30,33,34,35,36,38,39,
40,41,42,43,45,46,47,48,49,50,51,52,56,57,58,59,60,61,62,67,72,80,81,82,87,92,
95,105,111,112,113,114,115,116,117,118,119,124,130,131,132,133,152,154,159,
160,166,169,183,184,185,186,187,188,190,191,192,193,194,195,196,197,198,201,
210,211,212,213,234,252,254,267,270,271,277,278,281,284,309,311,312,315,318,
319,320,326,327,328,329,330,332,333,338,339,344,348,350,354,363,366,382,385,
389,392,397,523,543,545,546,557,559,569,573,584,587,641,655,657,660,662,717,
724,861,885,889,904,905,916,919,925,989,1111,1149,1153,1171,1176,1313,1362,
1363,1459,1540],[1,2,3,4,6,8,9,10,11,12,13,15,16,19,20,22,27,28,29,30,33,34,
35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,56,57,58,59,60,61,62,67,72,80,
81,82,87,92,95,106,111,112,113,114,115,116,117,118,119,124,130,131,132,133,
153,155,158,161,167,168,183,184,185,186,187,188,190,191,192,193,194,195,196,
197,198,201,210,211,212,213,234,251,253,266,270,271,277,278,281,284,310,311,
312,315,318,319,320,326,327,328,329,330,331,334,337,340,343,347,349,353,364,
367,381,386,390,391,397,523,544,545,546,557,558,570,574,585,586,642,656,658,
659,661,718,724,861,886,890,904,905,917,918,924,990,1111,1150,1154,1172,1175,
1312,1361,1364,1460,1541],[1,2,3,4,6,7,8,9,11,12,13,14,15,19,22,28,30,34,35,
36,37,39,41,43,44,46,47,48,55,57,63,66,72,80,81,82,87,88,100,106,109,111,113,
114,116,118,123,126,150,159,162,170,176,178,179,188,200,202,203,209,234,254,
261,270,277,281,296,310,312,316,322,332,351,357,365,368,377,384,394,523,544,
545,546,551,557,558,597,642,647,653,669,675,869,885,898,904,919,952,994,1111,
1150,1154,1180,1195,1313,1359,1390,1460,1542],[1,2,3,4,6,7,8,9,10,12,13,14,15,
19,22,27,29,33,35,36,37,38,40,42,44,46,47,48,55,58,63,66,72,80,81,82,87,88,
100,105,110,111,112,115,117,119,122,125,151,158,163,170,177,178,180,187,199,
202,204,209,234,253,261,271,278,281,296,309,311,317,321,331,352,358,365,369,
378,383,393,523,543,545,546,552,557,559,596,641,648,654,668,674,869,886,897,
905,918,953,993,1111,1149,1153,1179,1194,1312,1360,1389,1459,1543],[1,2,3,4,5,
6,8,9,10,12,13,15,16,20,23,27,29,32,33,35,36,38,40,42,45,48,50,52,54,58,60,64,
73,80,82,84,85,89,90,99,105,107,111,112,115,117,119,121,128,156,161,164,167,
171,173,180,182,185,198,206,208,236,251,266,273,275,280,282,295,309,311,314,
324,337,346,356,362,371,380,387,396,527,543,545,547,555,561,562,599,641,650,
651,670,672,870,890,893,907,921,956,992,1112,1149,1156,1177,1193,1316,1358,
1391,1461,1544],[1,2,3,4,5,6,8,9,11,12,13,15,16,20,23,28,30,31,34,35,36,39,41,
43,45,47,49,51,53,57,59,65,73,80,81,83,86,89,90,99,106,108,111,113,114,116,
118,120,129,157,160,165,166,172,174,179,181,186,197,205,207,236,252,267,274,
276,279,283,295,310,312,313,325,338,345,355,361,370,379,388,395,526,544,546,
548,556,560,563,600,642,649,652,671,673,871,889,894,906,920,955,991,1113,1150,
1155,1178,1192,1317,1357,1392,1462,1545],[1,2,3,4,5,7,8,11,12,13,14,16,20,21,
22,23,29,31,34,37,39,49,51,53,55,60,61,65,66,68,69,71,73,77,79,81,83,86,88,89,
93,95,97,98,106,110,134,140,153,156,163,174,175,183,194,203,205,207,218,221,
224,226,228,232,257,258,264,267,269,271,272,283,290,291,293,334,335,355,359,
402,430,478,480,489,493,506,510,514,525,526,544,548,550,552,553,556,564,573,
575,589,601,605,607,610,614,616,643,743,744,814,819,824,835,856,857,894,895,
899,923,924,939,945,950,960,961,1095,1109,1113,1152,1158,1162,1163,1210,1212,
1218,1221,1319,1322,1398,1416,1420,1422,1463,1546],[1,2,3,4,5,7,9,10,12,13,14,
16,20,21,22,23,30,32,33,37,38,50,52,54,55,59,61,64,66,68,69,71,73,77,79,82,84,
85,88,90,94,95,97,98,105,109,135,139,152,157,162,173,175,184,193,204,206,208,
217,220,223,227,228,232,257,258,265,266,268,270,272,282,289,291,294,333,336,
356,360,403,431,477,481,490,494,507,509,513,525,527,543,547,549,551,554,555,
565,574,576,588,602,605,606,609,613,615,644,742,745,815,818,825,834,856,858,
893,896,900,922,925,940,946,951,959,962,1094,1110,1112,1151,1157,1161,1164,
1211,1213,1217,1222,1320,1321,1397,1417,1421,1423,1464,1547],[1,2,5,6,7,14,18,
24,25,44,77,78,102,243,247,249,250,303,304,305,540,621,630,880,881,1128,1138,
1142,1143,1548],[1,3,5,16,23,24,68,101,244,294,542,620,964,1125,1242,1329,
1429,1549],[1,3,5,16,23,24,69,101,244,293,542,620,964,1125,1242,1329,1430,
1550],[1,2,3,4,6,12,13,14,15,17,19,20,22,35,63,66,74,75,76,80,92,97,100,104,
178,237,238,239,240,241,281,297,301,306,307,308,535,536,537,608,623,624,631,
635,636,637,638,877,966,967,968,979,984,985,1245,1257,1261,1331,1473,1551],[1,
2,3,5,12,15,17,23,46,63,70,74,75,76,99,214,239,240,292,301,536,617,623,624,
874,966,967,968,1130,1243,1244,1245,1332,1432,1472,1552],[1,2,3,6,8,9,10,11,
12,13,14,15,16,17,27,28,29,30,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,
51,52,56,57,58,59,60,61,62,63,66,67,71,74,75,76,106,111,112,113,114,115,116,
117,118,119,122,124,125,130,131,132,133,151,153,155,158,161,163,167,168,170,
177,178,183,184,185,186,187,188,190,191,192,193,194,195,196,197,198,201,210,
211,212,213,222,223,224,237,238,239,240,241,310,311,312,315,318,319,320,326,
327,328,329,330,331,334,337,340,343,347,349,353,364,367,378,381,383,386,390,
391,393,397,478,483,486,492,504,505,506,507,508,517,535,536,537,642,656,658,
659,661,674,694,695,714,718,724,779,780,793,819,820,822,827,875,877,990,1026,
1044,1077,1079,1132,1134,1136,1287,1333,1335,1337,1339,1341,1475,1477,1479,
1553],[1,2,3,6,8,9,10,11,12,13,14,15,16,17,27,28,29,30,33,34,35,36,38,39,40,
41,42,43,45,46,47,48,49,50,51,52,56,57,58,59,60,61,62,63,66,67,71,74,75,76,
105,111,112,113,114,115,116,117,118,119,123,124,126,130,131,132,133,150,152,
154,159,160,162,166,169,170,176,178,183,184,185,186,187,188,190,191,192,193,
194,195,196,197,198,201,210,211,212,213,222,223,224,237,238,239,240,241,309,
311,312,315,318,319,320,326,327,328,329,330,332,333,338,339,344,348,350,354,
363,366,377,382,384,385,389,392,394,397,477,482,485,491,504,505,506,507,508,
517,535,536,537,641,655,657,660,662,675,693,696,713,717,724,779,780,793,818,
821,823,826,876,877,989,1025,1044,1078,1080,1131,1133,1135,1288,1334,1336,
1338,1340,1342,1474,1476,1478,1554],[1,3,5,9,10,11,15,16,21,23,26,28,32,33,50,
54,56,57,59,64,69,84,85,86,94,105,154,169,173,191,195,206,217,246,260,262,263,
265,268,274,280,293,354,356,399,487,496,547,580,583,629,731,891,896,902,921,
1139,1140,1145,1186,1225,1555],[1,3,5,8,10,11,15,16,21,23,26,27,31,34,49,53,
56,58,60,65,68,83,85,86,93,106,155,168,174,190,196,205,218,246,259,262,263,
264,269,273,279,294,353,355,400,488,495,548,579,582,628,732,892,895,901,920,
1139,1141,1144,1185,1226,1556],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,19,20,22,
25,29,30,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,55,56,61,62,63,66,
67,81,82,87,88,91,92,95,97,100,102,109,110,116,117,125,126,127,133,145,146,
149,162,163,175,176,177,178,189,192,193,194,199,200,201,203,204,209,210,211,
212,213,242,251,252,253,254,266,267,270,271,277,278,284,287,288,291,296,297,
299,303,304,305,321,322,323,330,359,360,368,369,376,445,458,459,460,469,470,
538,551,552,558,559,566,567,569,570,573,574,584,585,586,587,596,597,601,602,
618,630,787,878,879,884,910,911,916,917,929,930,934,935,939,940,941,942,952,
953,1137,1146,1237,1238,1343,1344,1480,1481,1482,1557],[1,2,3,4,8,9,12,14,15,
17,19,20,22,29,30,45,46,47,48,62,66,72,74,75,76,81,82,92,97,100,125,126,145,
146,162,163,201,230,231,233,238,240,251,252,253,254,270,271,297,469,521,529,
534,537,569,570,596,597,601,602,632,633,852,859,934,935,980,981,1115,1255,
1256,1352,1484,1558],[1,2,3,4,6,8,9,10,11,12,13,15,16,17,19,20,22,29,30,35,38,
39,40,41,42,43,45,46,47,48,49,50,51,52,56,61,62,67,72,74,75,76,81,82,87,92,95,
116,117,133,192,193,194,201,210,211,212,213,230,231,233,237,240,241,251,252,
253,254,266,267,270,271,277,278,284,330,520,521,522,528,529,535,558,559,569,
570,573,574,584,585,586,587,632,633,851,852,853,854,916,917,980,981,982,983,
1114,1251,1252,1352,1484,1485,1559],[1,2,3,4,7,8,9,12,15,17,19,20,22,29,30,37,
45,46,47,48,62,63,72,74,75,76,81,82,88,91,92,109,110,127,189,199,200,201,230,
231,233,234,239,240,251,252,253,254,270,271,287,323,521,529,530,531,533,536,
551,552,566,567,569,570,632,633,852,860,865,910,911,976,977,980,981,1116,1258,
1259,1352,1484,1487,1560],[1,2,3,4,6,7,8,9,12,13,14,15,17,19,20,22,35,36,37,
44,47,48,55,63,66,72,74,75,76,80,81,82,87,88,91,92,95,97,100,104,111,170,178,
202,209,230,234,237,238,239,240,241,253,254,261,281,284,287,288,291,296,297,
299,307,365,523,530,535,536,537,545,546,557,581,608,618,631,635,636,855,861,
869,877,897,898,949,975,979,984,1111,1123,1147,1250,1257,1260,1261,1318,1354,
1439,1486,1561],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,19,20,22,27,28,29,30,31,
33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,
60,61,62,63,65,66,67,68,70,80,81,87,92,95,105,106,108,109,111,112,113,114,115,
116,117,118,119,120,123,124,126,129,130,131,132,133,135,137,139,142,143,147,
150,152,153,154,155,157,158,159,160,161,162,165,166,167,168,169,170,172,174,
176,178,179,181,183,184,185,186,187,188,190,191,192,193,194,195,196,197,198,
200,201,202,203,205,207,209,210,211,212,213,215,218,219,221,252,254,261,267,
271,278,281,284,309,310,311,312,313,315,316,318,319,320,322,325,326,327,328,
329,330,331,332,333,334,336,337,338,339,340,341,343,344,345,347,348,349,350,
351,353,354,355,357,361,363,364,365,366,367,368,370,372,375,377,379,381,382,
384,385,386,388,389,390,391,392,394,395,397,398,400,402,405,407,409,410,412,
415,418,420,421,424,425,431,433,435,437,439,443,446,448,450,453,455,456,461,
463,465,467,471,472,474,476,480,484,488,489,492,494,495,498,500,501,544,546,
557,559,569,573,584,587,641,642,644,645,647,649,652,653,655,656,657,658,659,
660,661,662,664,665,669,671,673,675,676,678,680,681,683,685,687,692,699,701,
704,706,709,711,716,717,718,720,723,724,728,732,733,734,737,738,740,744,759,
761,763,767,769,772,775,776,782,783,785,789,791,794,796,799,800,811,812,885,
889,894,898,905,916,918,924,989,990,991,994,1008,1009,1014,1015,1018,1021,
1023,1027,1030,1033,1048,1052,1053,1058,1063,1066,1071,1076,1150,1153,1171,
1176,1218,1223,1264,1266,1268,1269,1272,1276,1278,1357,1359,1361,1363,1446,
1489,1498,1501,1562],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,19,20,22,27,28,29,
30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,
58,59,60,61,62,63,64,66,67,69,70,80,82,87,92,95,105,106,107,110,111,112,113,
114,115,116,117,118,119,121,122,124,125,128,130,131,132,133,134,136,140,141,
144,148,151,152,153,154,155,156,158,159,160,161,163,164,166,167,168,169,170,
171,173,177,178,180,182,183,184,185,186,187,188,190,191,192,193,194,195,196,
197,198,199,201,202,204,206,208,209,210,211,212,213,216,217,219,220,251,253,
261,266,270,277,281,284,309,310,311,312,314,315,317,318,319,320,321,324,326,
327,328,329,330,331,332,333,334,335,337,338,339,340,342,343,344,346,347,348,
349,350,352,353,354,356,358,362,363,364,365,366,367,369,371,373,374,378,380,
381,382,383,385,386,387,389,390,391,392,393,396,397,398,399,403,404,406,408,
411,413,416,417,419,422,423,426,430,432,434,438,440,443,447,449,451,452,454,
457,462,464,466,468,471,472,473,475,481,484,487,490,491,493,496,497,499,502,
543,545,557,558,570,574,585,586,641,642,643,646,648,650,651,654,655,656,657,
658,659,660,661,662,663,666,668,670,672,674,677,679,680,682,684,686,688,691,
700,702,703,705,710,712,715,717,718,719,722,724,727,731,733,735,736,739,741,
745,758,760,762,766,768,773,774,777,781,784,786,788,790,795,797,798,801,810,
813,886,890,893,897,904,917,919,925,989,990,992,993,1007,1010,1014,1016,1017,
1022,1024,1028,1029,1032,1047,1051,1054,1057,1064,1065,1072,1075,1149,1154,
1172,1175,1217,1224,1264,1265,1267,1270,1271,1275,1277,1358,1360,1362,1364,
1447,1490,1499,1500,1563],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,19,20,22,27,
28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,
54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,80,81,88,91,92,106,107,108,
109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,
128,129,130,131,132,133,134,136,137,138,140,141,142,143,144,145,146,147,148,
149,150,151,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,
169,170,172,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,
190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,
209,210,211,212,213,214,215,216,217,219,220,252,254,261,267,271,278,281,287,
310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,
329,330,331,332,334,335,336,337,338,340,341,342,343,344,345,346,347,348,349,
350,351,352,353,355,357,358,359,360,361,362,364,365,366,367,368,369,370,373,
374,375,376,377,378,379,380,381,382,383,384,386,387,388,389,390,391,393,394,
395,397,398,399,401,403,404,405,406,408,410,411,413,414,415,416,417,418,419,
420,421,422,423,424,426,427,428,429,430,432,434,435,436,437,438,440,441,442,
444,445,446,447,448,449,450,451,452,453,454,456,457,458,459,460,461,462,463,
464,465,466,468,469,470,471,472,473,474,475,476,477,479,482,483,484,485,491,
492,494,499,500,502,503,544,546,552,567,569,581,587,642,643,646,647,648,649,
650,652,653,654,655,656,658,659,661,663,664,666,667,669,671,673,675,677,679,
682,683,684,685,686,688,689,690,691,692,693,696,697,698,699,700,701,702,706,
707,708,711,712,713,714,718,719,720,721,722,724,725,729,730,733,734,735,736,
737,738,739,742,746,747,748,749,751,752,753,754,755,757,758,760,762,765,767,
769,771,774,776,777,778,781,783,784,785,786,787,788,789,790,792,795,796,797,
798,800,801,802,803,804,805,810,813,885,889,894,898,905,911,918,924,988,990,
991,994,995,998,999,1000,1001,1002,1004,1006,1007,1010,1011,1012,1013,1015,
1018,1020,1023,1025,1029,1031,1032,1033,1034,1037,1039,1040,1043,1045,1048,
1049,1052,1057,1066,1067,1071,1072,1073,1074,1082,1093,1103,1150,1163,1169,
1171,1179,1216,1223,1265,1269,1274,1280,1281,1286,1291,1307,1309,1357,1359,
1361,1393,1445,1492,1498,1503,1564],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,19,
20,22,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,
51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,80,82,88,91,92,105,
107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,
126,127,128,129,130,131,132,133,135,136,137,138,139,141,142,143,144,145,146,
147,148,149,150,151,152,154,155,156,157,158,159,160,161,162,163,164,165,166,
167,168,169,170,171,173,175,176,177,178,179,180,181,182,183,184,185,186,187,
188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,
207,208,209,210,211,212,213,214,215,216,218,219,221,251,253,261,266,270,277,
281,287,309,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,
327,328,329,330,331,332,333,335,336,337,338,339,341,342,343,344,345,346,347,
348,349,350,351,352,354,356,357,358,359,360,361,362,363,365,366,367,368,369,
371,372,374,375,376,377,378,379,380,381,382,383,384,385,387,388,389,390,392,
393,394,396,397,398,400,401,402,404,405,407,409,410,411,412,414,415,416,417,
418,419,420,421,422,423,424,425,427,428,429,431,433,434,435,436,437,438,439,
441,442,444,445,446,447,448,449,450,451,452,453,455,456,457,458,459,460,461,
462,463,464,465,466,467,469,470,471,472,473,474,475,476,478,479,482,483,484,
486,491,492,493,499,500,501,503,543,545,551,566,570,581,586,641,644,645,647,
648,649,650,651,653,654,655,656,657,660,662,663,664,665,667,668,670,672,674,
676,678,681,683,684,685,686,687,689,690,691,692,694,695,697,698,699,700,701,
702,705,707,708,711,712,713,714,717,719,720,721,723,724,726,729,730,733,734,
735,736,737,738,739,743,746,747,748,749,750,752,753,754,755,756,759,761,763,
764,766,768,770,775,776,777,778,782,783,784,785,786,787,788,789,791,792,794,
796,797,799,800,801,802,803,804,805,811,812,886,890,893,897,904,910,919,925,
988,989,992,993,996,997,999,1000,1001,1002,1003,1005,1008,1009,1011,1012,1013,
1016,1017,1019,1024,1026,1030,1031,1032,1033,1035,1036,1038,1041,1042,1046,
1047,1050,1051,1058,1065,1068,1071,1072,1073,1074,1081,1093,1103,1149,1164,
1170,1172,1180,1215,1224,1266,1270,1273,1279,1282,1285,1291,1308,1310,1358,
1360,1362,1394,1444,1491,1499,1502,1565],[1,2,3,5,6,7,8,9,10,11,12,13,14,15,
16,18,21,23,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,
50,51,52,54,55,56,57,58,59,60,61,62,63,64,66,67,69,70,77,83,85,86,89,94,96,
105,106,107,110,111,112,113,114,115,116,117,118,119,121,122,124,125,128,130,
131,132,133,134,136,140,141,144,148,151,152,153,154,155,156,158,159,160,161,
163,164,166,167,168,169,170,171,173,177,178,180,182,183,184,185,186,187,188,
190,191,192,193,194,195,196,197,198,199,201,202,204,206,208,209,210,211,212,
213,216,217,219,220,249,255,256,257,259,260,262,265,272,273,274,276,280,283,
286,292,293,309,310,311,312,314,315,317,318,319,320,321,324,326,327,328,329,
330,331,332,333,334,335,337,338,339,340,342,343,344,346,347,348,349,350,352,
353,354,356,358,362,363,364,365,366,367,369,371,373,374,378,380,381,382,383,
385,386,387,389,390,391,392,393,396,397,398,399,403,404,406,408,411,413,416,
417,419,422,423,426,430,432,434,438,440,443,447,449,451,452,454,457,462,464,
466,468,471,472,473,475,481,484,487,490,491,493,496,497,499,502,548,553,556,
560,562,568,571,572,576,578,580,583,591,593,594,611,614,641,642,643,646,648,
650,651,654,655,656,657,658,659,660,661,662,663,666,668,670,672,674,677,679,
680,682,684,686,688,691,700,702,703,705,710,712,715,717,718,719,722,724,727,
731,733,735,736,739,741,745,758,760,762,766,768,773,774,777,781,784,786,788,
790,795,797,798,801,810,813,887,892,902,903,906,909,912,915,989,990,992,993,
1007,1010,1014,1016,1017,1022,1024,1028,1029,1032,1047,1051,1054,1057,1064,
1065,1072,1075,1155,1158,1159,1166,1168,1186,1188,1189,1191,1201,1202,1227,
1264,1265,1267,1270,1271,1275,1277,1365,1381,1383,1447,1493,1566],[1,2,3,5,6,
7,8,9,10,11,12,13,14,15,16,18,21,23,27,28,29,30,31,33,34,35,36,37,38,39,40,41,
42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,65,66,67,68,70,
77,84,85,86,90,93,96,105,106,108,109,111,112,113,114,115,116,117,118,119,120,
123,124,126,129,130,131,132,133,135,137,139,142,143,147,150,152,153,154,155,
157,158,159,160,161,162,165,166,167,168,169,170,172,174,176,178,179,181,183,
184,185,186,187,188,190,191,192,193,194,195,196,197,198,200,201,202,203,205,
207,209,210,211,212,213,215,218,219,221,249,255,256,257,259,260,263,264,272,
273,274,275,279,282,285,292,294,309,310,311,312,313,315,316,318,319,320,322,
325,326,327,328,329,330,331,332,333,334,336,337,338,339,340,341,343,344,345,
347,348,349,350,351,353,354,355,357,361,363,364,365,366,367,368,370,372,375,
377,379,381,382,384,385,386,388,389,390,391,392,394,395,397,398,400,402,405,
407,409,410,412,415,418,420,421,424,425,431,433,435,437,439,443,446,448,450,
453,455,456,461,463,465,467,471,472,474,476,480,484,488,489,492,494,495,498,
500,501,547,554,555,561,563,568,571,572,575,577,579,582,590,592,595,612,613,
641,642,644,645,647,649,652,653,655,656,657,658,659,660,661,662,664,665,669,
671,673,675,676,678,680,681,683,685,687,692,699,701,704,706,709,711,716,717,
718,720,723,724,728,732,733,734,737,738,740,744,759,761,763,767,769,772,775,
776,782,783,785,789,791,794,796,799,800,811,812,888,891,901,903,907,908,913,
914,989,990,991,994,1008,1009,1014,1015,1018,1021,1023,1027,1030,1033,1048,
1052,1053,1058,1063,1066,1071,1076,1156,1157,1160,1165,1167,1185,1187,1190,
1191,1200,1203,1228,1264,1266,1268,1269,1272,1276,1278,1366,1382,1384,1446,
1494,1567],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,19,20,22,27,28,29,30,31,33,
34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,
61,62,63,64,65,66,67,68,70,80,81,91,95,100,106,108,109,110,111,112,113,114,
115,116,117,118,119,120,122,123,124,125,126,127,128,129,130,131,132,133,135,
138,139,142,143,145,146,147,148,149,150,152,153,155,156,157,158,159,160,161,
162,163,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,
183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,
202,203,204,205,207,209,210,211,212,213,214,215,216,218,219,221,252,254,261,
267,271,278,281,299,310,311,312,313,315,316,317,318,319,320,321,322,323,325,
326,327,328,329,330,331,332,334,335,337,338,339,340,341,343,345,347,349,351,
353,355,357,358,359,360,361,363,364,365,366,367,368,369,370,372,375,376,377,
379,380,381,382,383,384,386,388,390,391,392,393,394,395,396,397,400,401,402,
404,405,412,414,418,420,422,423,424,425,427,428,429,431,433,436,439,441,442,
445,446,450,452,453,455,456,458,459,460,463,465,467,469,470,471,473,475,476,
477,478,479,480,481,482,483,484,485,487,488,489,491,493,495,497,498,501,503,
544,546,567,573,581,584,596,642,647,649,652,653,654,656,658,659,660,661,665,
667,668,669,670,671,673,675,686,687,689,690,692,693,695,696,697,698,702,703,
704,705,708,709,710,712,713,716,718,721,723,724,728,730,732,735,737,740,743,
744,746,748,753,754,756,765,766,770,771,772,775,778,782,785,787,791,792,794,
799,802,832,834,836,843,845,846,885,889,894,898,905,918,924,929,990,991,994,
997,1001,1020,1021,1024,1025,1027,1028,1030,1031,1041,1042,1045,1049,1050,
1051,1053,1063,1067,1073,1076,1084,1086,1087,1150,1169,1176,1194,1216,1218,
1267,1272,1274,1282,1289,1293,1295,1357,1359,1361,1374,1452,1501,1503,1504,
1568],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,19,20,22,27,28,29,30,32,33,34,35,
36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,
63,64,65,66,67,69,70,80,82,91,95,100,105,107,109,110,111,112,113,114,115,116,
117,118,119,121,122,123,124,125,126,127,128,129,130,131,132,133,134,138,140,
141,144,145,146,147,148,149,151,152,153,154,156,157,158,159,160,161,162,163,
164,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,182,183,184,
185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,
204,206,208,209,210,211,212,213,214,215,216,217,219,220,251,253,261,266,270,
277,281,299,309,311,312,314,315,316,317,318,319,320,321,322,323,324,326,327,
328,329,330,331,332,333,336,337,338,339,340,342,344,346,348,350,352,354,356,
357,358,359,360,362,363,364,365,366,367,368,369,371,373,374,376,378,379,380,
381,382,383,384,385,387,389,391,392,393,394,395,396,397,399,401,403,404,405,
413,414,417,419,421,423,424,426,427,428,429,430,432,436,440,441,442,445,447,
451,452,453,454,457,458,459,460,464,466,468,469,470,472,474,475,476,477,478,
479,480,481,482,483,484,486,487,488,490,492,494,496,497,498,502,503,543,545,
566,574,581,585,597,641,648,650,651,653,654,655,657,659,660,662,666,667,668,
669,670,671,672,674,685,688,689,690,691,694,695,696,697,698,701,703,704,706,
707,709,710,711,714,715,717,721,722,724,727,729,731,734,736,741,742,745,747,
748,752,754,757,764,767,770,771,773,774,778,781,786,787,790,792,795,798,802,
833,835,836,842,844,846,886,890,893,897,904,919,925,930,989,992,993,998,1002,
1019,1022,1023,1026,1027,1028,1029,1031,1040,1043,1046,1049,1050,1052,1054,
1064,1068,1074,1075,1083,1085,1087,1149,1170,1175,1195,1215,1217,1268,1271,
1273,1281,1290,1294,1295,1358,1360,1362,1373,1451,1500,1502,1505,1569],[1,2,3,
4,6,7,8,9,10,11,12,13,14,15,16,20,22,27,28,29,30,31,32,33,34,35,36,37,38,39,
40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,
67,68,69,70,71,80,81,88,95,97,106,107,108,110,111,112,113,114,115,116,117,118,
119,120,121,122,124,125,128,129,130,131,132,133,134,135,136,139,140,141,142,
143,144,147,148,149,150,151,152,153,155,156,157,158,159,160,161,163,164,165,
166,167,168,169,170,172,174,175,176,177,178,179,180,181,182,183,184,185,186,
187,188,190,191,192,193,194,195,196,197,198,199,201,202,203,205,206,207,208,
210,211,212,213,216,217,218,219,220,221,222,223,224,225,226,227,228,252,267,
271,278,281,291,310,311,312,313,314,315,317,318,319,320,324,325,326,327,328,
329,330,331,334,335,337,338,339,340,341,342,343,345,346,347,349,351,352,353,
355,357,359,361,362,363,364,366,367,370,372,373,374,375,378,379,380,381,382,
383,386,387,388,390,391,392,393,395,397,398,399,400,402,403,404,406,408,411,
412,413,416,417,418,419,420,422,423,424,425,426,427,429,430,431,432,433,434,
438,439,440,446,447,449,450,451,452,453,454,455,456,457,459,462,463,464,465,
466,467,468,472,474,478,479,480,483,486,488,489,491,492,493,495,498,499,501,
502,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,544,546,552,
573,584,601,608,642,643,646,648,649,650,652,656,658,659,660,661,663,665,666,
671,673,674,677,679,682,684,686,687,688,689,691,692,694,695,700,704,705,707,
709,714,716,718,719,722,723,724,726,728,732,738,740,743,744,746,750,752,755,
756,758,760,762,764,768,772,774,775,777,779,780,781,782,784,785,786,788,790,
791,793,794,795,797,798,799,801,806,807,808,809,810,813,814,815,816,817,819,
820,822,824,827,829,830,831,833,835,837,838,840,842,844,847,889,894,905,918,
924,939,990,991,996,997,1000,1007,1010,1021,1026,1027,1029,1030,1032,1035,
1036,1038,1044,1046,1047,1053,1055,1056,1057,1060,1062,1063,1069,1070,1076,
1077,1079,1083,1085,1090,1091,1095,1097,1098,1099,1101,1104,1106,1150,1163,
1176,1179,1182,1210,1218,1265,1272,1279,1283,1287,1294,1296,1299,1302,1304,
1305,1357,1361,1386,1420,1454,1492,1501,1507,1570],[1,2,3,4,6,7,8,9,10,11,12,
13,14,15,16,20,22,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,
48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,80,82,
88,95,97,105,107,108,109,111,112,113,114,115,116,117,118,119,120,121,123,124,
126,128,129,130,131,132,133,134,135,137,139,140,141,142,143,144,147,148,149,
150,151,152,153,154,156,157,158,159,160,161,162,164,165,166,167,168,169,170,
171,173,175,176,177,178,179,180,181,182,183,184,185,186,187,188,190,191,192,
193,194,195,196,197,198,200,201,202,204,205,206,207,208,210,211,212,213,215,
217,218,219,220,221,222,223,224,225,226,227,228,251,266,270,277,281,291,309,
311,312,313,314,315,316,318,319,320,324,325,326,327,328,329,330,332,333,336,
337,338,339,340,341,342,344,345,346,348,350,351,352,354,356,358,360,361,362,
363,364,366,367,371,372,373,374,375,377,379,380,381,382,384,385,387,388,389,
391,392,394,396,397,398,399,400,402,403,405,407,409,410,412,413,415,417,418,
419,420,421,423,424,425,426,427,428,430,431,432,433,435,437,439,440,446,447,
448,450,451,452,453,454,455,456,457,458,461,463,464,465,466,467,468,471,473,
477,479,481,482,485,487,490,491,492,494,496,497,500,501,502,504,505,506,507,
508,509,510,511,512,513,514,515,516,517,518,543,545,551,574,585,602,608,641,
644,645,647,649,650,651,655,657,659,660,662,664,665,666,670,672,675,676,678,
681,683,685,687,688,690,691,692,693,696,699,703,706,708,710,713,715,717,720,
722,723,724,725,727,731,739,741,742,745,747,751,753,755,757,759,761,763,765,
769,773,774,775,776,779,780,781,782,783,785,786,789,790,791,793,794,795,796,
798,799,800,806,807,808,809,811,812,814,815,816,817,818,821,823,825,826,828,
830,831,832,834,837,839,841,843,845,847,890,893,904,919,925,940,989,992,995,
998,999,1008,1009,1022,1025,1028,1029,1030,1033,1034,1037,1039,1044,1045,1048,
1054,1055,1056,1058,1059,1061,1064,1069,1070,1075,1078,1080,1084,1086,1089,
1092,1094,1096,1098,1100,1102,1105,1107,1149,1164,1175,1180,1181,1211,1217,
1266,1271,1280,1284,1288,1293,1296,1300,1301,1303,1306,1358,1362,1385,1421,
1453,1491,1500,1506,1571],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,22,27,28,29,
30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,
58,59,60,61,62,63,64,66,67,69,70,80,81,87,88,100,105,106,107,110,111,112,113,
114,115,116,117,118,119,121,122,124,125,128,130,131,132,133,134,136,140,141,
144,148,151,152,153,154,155,156,158,159,160,161,163,164,166,167,168,169,170,
171,173,177,178,180,182,183,184,185,186,187,188,190,191,192,193,194,195,196,
197,198,199,201,202,204,206,208,209,210,211,212,213,216,217,219,220,271,278,
281,296,309,310,311,312,314,315,317,318,319,320,321,324,326,327,328,329,330,
331,332,333,334,335,337,338,339,340,342,343,344,346,347,348,349,350,352,353,
354,356,358,362,363,364,365,366,367,369,371,373,374,378,380,381,382,383,385,
386,387,389,390,391,392,393,396,397,398,399,403,404,406,408,411,413,416,417,
419,422,423,426,430,432,434,438,440,443,447,449,451,452,454,457,462,464,466,
468,471,472,473,475,481,484,487,490,491,493,496,497,499,502,544,546,552,557,
559,596,641,642,643,646,648,650,651,654,655,656,657,658,659,660,661,662,663,
666,668,670,672,674,677,679,680,682,684,686,688,691,700,702,703,705,710,712,
715,717,718,719,722,724,727,731,733,735,736,739,741,745,758,760,762,766,768,
773,774,777,781,784,786,788,790,795,797,798,801,810,813,905,918,924,953,989,
990,992,993,1007,1010,1014,1016,1017,1022,1024,1028,1029,1032,1047,1051,1054,
1057,1064,1065,1072,1075,1150,1153,1163,1179,1194,1264,1265,1267,1270,1271,
1275,1277,1361,1389,1447,1489,1492,1504,1572],[1,2,3,4,6,7,8,9,10,11,12,13,14,
15,16,22,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,
51,52,53,55,56,57,58,59,60,61,62,63,65,66,67,68,70,80,82,87,88,100,105,106,
108,109,111,112,113,114,115,116,117,118,119,120,123,124,126,129,130,131,132,
133,135,137,139,142,143,147,150,152,153,154,155,157,158,159,160,161,162,165,
166,167,168,169,170,172,174,176,178,179,181,183,184,185,186,187,188,190,191,
192,193,194,195,196,197,198,200,201,202,203,205,207,209,210,211,212,213,215,
218,219,221,270,277,281,296,309,310,311,312,313,315,316,318,319,320,322,325,
326,327,328,329,330,331,332,333,334,336,337,338,339,340,341,343,344,345,347,
348,349,350,351,353,354,355,357,361,363,364,365,366,367,368,370,372,375,377,
379,381,382,384,385,386,388,389,390,391,392,394,395,397,398,400,402,405,407,
409,410,412,415,418,420,421,424,425,431,433,435,437,439,443,446,448,450,453,
455,456,461,463,465,467,471,472,474,476,480,484,488,489,492,494,495,498,500,
501,543,545,551,557,558,597,641,642,644,645,647,649,652,653,655,656,657,658,
659,660,661,662,664,665,669,671,673,675,676,678,680,681,683,685,687,692,699,
701,704,706,709,711,716,717,718,720,723,724,728,732,733,734,737,738,740,744,
759,761,763,767,769,772,775,776,782,783,785,789,791,794,796,799,800,811,812,
904,919,925,952,989,990,991,994,1008,1009,1014,1015,1018,1021,1023,1027,1030,
1033,1048,1052,1053,1058,1063,1066,1071,1076,1149,1154,1164,1180,1195,1264,
1266,1268,1269,1272,1276,1278,1362,1390,1446,1490,1491,1505,1573],[1,2,3,4,6,
7,8,9,10,11,12,13,14,15,16,19,20,22,27,28,29,30,32,33,34,35,36,37,38,39,40,41,
42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,70,
71,80,82,92,97,100,105,107,110,111,112,113,114,115,116,117,118,119,121,122,
123,124,125,126,128,129,130,131,132,133,136,141,142,143,144,145,146,148,150,
151,152,154,155,156,157,158,159,160,161,162,163,164,166,167,168,169,170,171,
172,173,174,176,177,178,180,182,183,184,185,186,187,188,190,191,192,193,194,
195,196,197,198,199,201,202,204,206,208,209,210,211,212,213,216,219,222,223,
224,251,253,261,266,270,277,281,297,309,311,312,314,315,317,318,319,320,321,
324,326,327,328,329,330,331,332,333,335,337,338,339,342,343,344,346,347,348,
349,350,352,354,356,358,362,363,365,366,367,369,371,374,377,378,379,380,381,
382,383,384,385,387,389,390,392,393,394,395,396,397,398,404,410,411,414,416,
417,419,422,423,434,438,447,449,451,452,457,461,462,464,465,466,469,471,472,
473,475,476,477,480,482,484,485,488,491,493,494,498,499,504,505,506,507,508,
517,543,545,570,586,597,602,608,641,648,650,651,654,655,656,657,660,662,663,
668,669,670,671,672,674,675,684,686,691,693,696,698,700,702,704,705,706,709,
711,712,713,717,719,720,721,724,733,735,736,739,765,766,767,768,769,771,777,
779,780,784,786,788,793,797,801,803,818,821,823,824,826,829,838,840,886,890,
893,897,904,919,925,935,989,992,993,1011,1016,1017,1023,1024,1025,1027,1032,
1039,1040,1044,1047,1051,1060,1062,1065,1066,1067,1072,1078,1080,1082,1149,
1172,1181,1195,1211,1224,1268,1270,1283,1286,1288,1289,1298,1358,1360,1362,
1371,1449,1499,1505,1506,1574],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,19,20,22,
27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,
55,56,57,58,59,60,61,62,63,64,65,66,67,70,71,80,81,92,97,100,106,108,109,111,
112,113,114,115,116,117,118,119,120,122,123,124,125,126,128,129,130,131,132,
133,137,141,142,143,144,145,146,147,150,151,153,154,155,156,157,158,159,160,
161,162,163,165,166,167,168,169,170,171,172,173,174,176,177,178,179,181,183,
184,185,186,187,188,190,191,192,193,194,195,196,197,198,200,201,202,203,205,
207,209,210,211,212,213,215,219,222,223,224,252,254,261,267,271,278,281,297,
310,311,312,313,315,316,318,319,320,322,325,326,327,328,329,330,331,332,334,
336,337,338,340,341,343,344,345,347,348,349,350,351,353,355,357,361,364,365,
366,367,368,370,375,377,378,379,380,381,382,383,384,386,388,389,390,391,393,
394,395,396,397,398,405,410,411,414,415,418,420,421,424,435,437,446,448,450,
453,456,461,462,463,465,466,469,471,472,474,475,476,478,481,483,484,486,487,
492,493,494,497,500,504,505,506,507,508,517,544,546,569,587,596,601,608,642,
647,649,652,653,655,656,658,659,661,664,668,669,670,671,673,674,675,683,685,
692,694,695,697,699,701,703,705,706,710,711,712,714,718,719,720,721,724,733,
734,737,738,764,766,767,768,769,770,776,779,780,783,785,789,793,796,800,804,
819,820,822,825,827,828,839,841,885,889,894,898,905,918,924,934,990,991,994,
1012,1015,1018,1023,1024,1026,1028,1033,1038,1041,1044,1048,1052,1059,1061,
1065,1066,1068,1071,1077,1079,1081,1150,1171,1182,1194,1210,1223,1267,1269,
1284,1285,1287,1290,1298,1357,1359,1361,1372,1450,1498,1504,1507,1575],[1,2,3,
4,6,7,8,9,10,11,12,13,14,15,16,19,22,27,28,29,30,33,34,35,36,37,38,39,40,41,
42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,62,63,66,67,70,71,80,81,
87,91,97,105,106,109,110,111,112,113,114,115,116,117,118,119,122,123,124,125,
126,127,130,131,132,133,138,145,146,149,150,151,152,153,154,155,158,159,160,
161,162,163,166,167,168,169,170,175,176,177,178,179,180,183,184,185,186,187,
188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,209,210,
211,212,213,214,215,216,219,222,223,224,254,261,271,278,281,288,309,310,311,
312,315,316,317,318,319,320,321,322,323,326,327,328,329,330,331,332,333,334,
337,338,339,340,343,344,347,348,349,350,351,352,353,354,357,358,359,360,363,
364,365,366,367,368,369,376,377,378,381,382,383,384,385,386,389,390,391,392,
393,394,397,401,404,405,414,427,428,429,436,441,442,443,445,458,459,460,469,
470,473,474,475,476,477,478,479,482,483,485,486,491,492,503,504,505,506,507,
508,517,544,546,557,559,567,581,601,608,641,642,647,648,653,654,655,656,657,
658,659,660,661,662,667,668,669,674,675,680,689,690,693,694,695,696,697,698,
707,708,713,714,717,718,721,724,729,730,734,735,746,747,748,764,765,770,771,
778,779,780,787,792,793,802,818,819,820,821,822,823,826,827,848,849,885,898,
905,918,924,941,949,989,990,993,994,1014,1019,1020,1025,1026,1031,1044,1045,
1046,1049,1050,1067,1068,1073,1074,1077,1078,1079,1080,1088,1150,1153,1169,
1182,1210,1216,1264,1273,1274,1287,1288,1292,1297,1359,1361,1378,1455,1489,
1503,1507,1576],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,19,22,27,28,29,30,33,34,
35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,62,
63,66,67,70,71,80,82,87,91,97,105,106,109,110,111,112,113,114,115,116,117,118,
119,122,123,124,125,126,127,130,131,132,133,138,145,146,149,150,151,152,153,
154,155,158,159,160,161,162,163,166,167,168,169,170,175,176,177,178,179,180,
183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,
202,203,204,209,210,211,212,213,214,215,216,219,222,223,224,253,261,270,277,
281,288,309,310,311,312,315,316,317,318,319,320,321,322,323,326,327,328,329,
330,331,332,333,334,337,338,339,340,343,344,347,348,349,350,351,352,353,354,
357,358,359,360,363,364,365,366,367,368,369,376,377,378,381,382,383,384,385,
386,389,390,391,392,393,394,397,401,404,405,414,427,428,429,436,441,442,443,
445,458,459,460,469,470,473,474,475,476,477,478,479,482,483,485,486,491,492,
503,504,505,506,507,508,517,543,545,557,558,566,581,602,608,641,642,647,648,
653,654,655,656,657,658,659,660,661,662,667,668,669,674,675,680,689,690,693,
694,695,696,697,698,707,708,713,714,717,718,721,724,729,730,734,735,746,747,
748,764,765,770,771,778,779,780,787,792,793,802,818,819,820,821,822,823,826,
827,848,849,886,897,904,919,925,942,949,989,990,993,994,1014,1019,1020,1025,
1026,1031,1044,1045,1046,1049,1050,1067,1068,1073,1074,1077,1078,1079,1080,
1088,1149,1154,1170,1181,1211,1215,1264,1273,1274,1287,1288,1292,1297,1360,
1362,1377,1455,1490,1502,1506,1577],[1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,21,
23,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,
53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,77,84,85,86,90,94,98,
105,107,108,109,111,112,113,114,115,116,117,118,119,120,121,123,124,126,128,
129,130,131,132,133,134,135,137,139,140,141,142,143,144,147,148,149,150,151,
152,153,154,156,157,158,159,160,161,162,164,165,166,167,168,169,170,171,173,
175,176,177,178,179,180,181,182,183,184,185,186,187,188,190,191,192,193,194,
195,196,197,198,200,201,202,204,205,206,207,208,210,211,212,213,215,217,218,
219,220,221,222,223,224,225,226,227,228,257,262,265,268,272,273,274,275,279,
282,289,292,294,309,311,312,313,314,315,316,318,319,320,324,325,326,327,328,
329,330,332,333,336,337,338,339,340,341,342,344,345,346,348,350,351,352,354,
356,358,360,361,362,363,364,366,367,371,372,373,374,375,377,379,380,381,382,
384,385,387,388,389,391,392,394,396,397,398,399,400,402,403,405,407,409,410,
412,413,415,417,418,419,420,421,423,424,425,426,427,428,430,431,432,433,435,
437,439,440,446,447,448,450,451,452,453,454,455,456,457,458,461,463,464,465,
466,467,468,471,473,477,479,481,482,485,487,490,491,492,494,496,497,500,501,
502,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,547,554,555,
561,563,576,578,580,588,603,604,605,606,609,612,613,615,641,644,645,647,649,
650,651,655,657,659,660,662,664,665,666,670,672,675,676,678,681,683,685,687,
688,690,691,692,693,696,699,703,706,708,710,713,715,717,720,722,723,724,725,
727,731,739,741,742,745,747,751,753,755,757,759,761,763,765,769,773,774,775,
776,779,780,781,782,783,785,786,789,790,791,793,794,795,796,798,799,800,806,
807,808,809,811,812,814,815,816,817,818,821,823,825,826,828,830,831,832,834,
837,839,841,843,845,847,896,901,903,907,944,946,948,951,962,989,992,995,998,
999,1008,1009,1022,1025,1028,1029,1030,1033,1034,1037,1039,1044,1045,1048,
1054,1055,1056,1058,1059,1061,1064,1069,1070,1075,1078,1080,1084,1086,1089,
1092,1094,1096,1098,1100,1102,1105,1107,1156,1157,1160,1174,1184,1188,1197,
1199,1200,1203,1204,1228,1266,1271,1280,1284,1288,1293,1296,1300,1301,1303,
1306,1379,1403,1412,1417,1419,1453,1494,1578],[1,2,3,5,6,7,8,9,10,11,12,13,14,
15,16,21,23,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,
50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,77,83,85,86,
89,93,98,106,107,108,110,111,112,113,114,115,116,117,118,119,120,121,122,124,
125,128,129,130,131,132,133,134,135,136,139,140,141,142,143,144,147,148,149,
150,151,152,153,155,156,157,158,159,160,161,163,164,165,166,167,168,169,170,
172,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,190,191,192,
193,194,195,196,197,198,199,201,202,203,205,206,207,208,210,211,212,213,216,
217,218,219,220,221,222,223,224,225,226,227,228,257,263,264,269,272,273,274,
276,280,283,290,292,293,310,311,312,313,314,315,317,318,319,320,324,325,326,
327,328,329,330,331,334,335,337,338,339,340,341,342,343,345,346,347,349,351,
352,353,355,357,359,361,362,363,364,366,367,370,372,373,374,375,378,379,380,
381,382,383,386,387,388,390,391,392,393,395,397,398,399,400,402,403,404,406,
408,411,412,413,416,417,418,419,420,422,423,424,425,426,427,429,430,431,432,
433,434,438,439,440,446,447,449,450,451,452,453,454,455,456,457,459,462,463,
464,465,466,467,468,472,474,478,479,480,483,486,488,489,491,492,493,495,498,
499,501,502,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,548,
553,556,560,562,575,577,579,589,603,604,605,607,610,611,614,616,642,643,646,
648,649,650,652,656,658,659,660,661,663,665,666,671,673,674,677,679,682,684,
686,687,688,689,691,692,694,695,700,704,705,707,709,714,716,718,719,722,723,
724,726,728,732,738,740,743,744,746,750,752,755,756,758,760,762,764,768,772,
774,775,777,779,780,781,782,784,785,786,788,790,791,793,794,795,797,798,799,
801,806,807,808,809,810,813,814,815,816,817,819,820,822,824,827,829,830,831,
833,835,837,838,840,842,844,847,895,902,903,906,943,945,947,950,961,990,991,
996,997,1000,1007,1010,1021,1026,1027,1029,1030,1032,1035,1036,1038,1044,1046,
1047,1053,1055,1056,1057,1060,1062,1063,1069,1070,1076,1077,1079,1083,1085,
1090,1091,1095,1097,1098,1099,1101,1104,1106,1155,1158,1159,1173,1183,1187,
1196,1198,1201,1202,1204,1227,1265,1272,1279,1283,1287,1294,1296,1299,1302,
1304,1305,1380,1404,1413,1416,1418,1454,1493,1579],[1,2,3,5,6,7,8,9,10,11,12,
13,14,15,16,23,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,
48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,77,84,85,86,
89,90,99,105,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,
123,124,125,126,127,128,129,130,131,132,133,135,136,137,138,139,141,142,143,
144,145,146,147,148,149,150,151,152,154,155,156,157,158,159,160,161,162,163,
164,165,166,167,168,169,170,171,173,175,176,177,178,179,180,181,182,183,184,
185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,
204,205,206,207,208,209,210,211,212,213,214,215,216,218,219,221,272,273,274,
275,276,279,280,282,292,294,295,309,311,312,313,314,315,316,317,318,319,320,
321,322,323,324,325,326,327,328,329,330,331,332,333,335,336,337,338,339,341,
342,343,344,345,346,347,348,349,350,351,352,354,356,357,358,359,360,361,362,
363,365,366,367,368,369,371,372,374,375,376,377,378,379,380,381,382,383,384,
385,387,388,389,390,392,393,394,396,397,398,400,401,402,404,405,407,409,410,
411,412,414,415,416,417,418,419,420,421,422,423,424,425,427,428,429,431,433,
434,435,436,437,438,439,441,442,444,445,446,447,448,449,450,451,452,453,455,
456,457,458,459,460,461,462,463,464,465,466,467,469,470,471,472,473,474,475,
476,478,479,482,483,484,486,491,492,493,499,500,501,503,547,553,554,555,560,
561,562,563,598,599,600,611,612,613,617,641,644,645,647,648,649,650,651,653,
654,655,656,657,660,662,663,664,665,667,668,670,672,674,676,678,681,683,684,
685,686,687,689,690,691,692,694,695,697,698,699,700,701,702,705,707,708,711,
712,713,714,717,719,720,721,723,724,726,729,730,733,734,735,736,737,738,739,
743,746,747,748,749,750,752,753,754,755,756,759,761,763,764,766,768,770,775,
776,777,778,782,783,784,785,786,787,788,789,791,792,794,796,797,799,800,801,
802,803,804,805,811,812,901,903,907,921,954,955,956,963,988,989,992,993,996,
997,999,1000,1001,1002,1003,1005,1008,1009,1011,1012,1013,1016,1017,1019,1024,
1026,1030,1031,1032,1033,1035,1036,1038,1041,1042,1046,1047,1050,1051,1058,
1065,1068,1071,1072,1073,1074,1081,1093,1103,1156,1157,1160,1177,1193,1200,
1201,1203,1206,1208,1209,1228,1266,1270,1273,1279,1282,1285,1291,1308,1310,
1391,1406,1414,1425,1444,1494,1580],[1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,23,
27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,
53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,77,83,85,86,89,90,99,106,
107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,
126,127,128,129,130,131,132,133,134,136,137,138,140,141,142,143,144,145,146,
147,148,149,150,151,153,154,155,156,157,158,159,160,161,162,163,164,165,166,
167,168,169,170,172,174,175,176,177,178,179,180,181,182,183,184,185,186,187,
188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,
207,208,209,210,211,212,213,214,215,216,217,219,220,272,273,274,275,276,279,
280,283,292,293,295,310,311,312,313,314,315,316,317,318,319,320,321,322,323,
324,325,326,327,328,329,330,331,332,334,335,336,337,338,340,341,342,343,344,
345,346,347,348,349,350,351,352,353,355,357,358,359,360,361,362,364,365,366,
367,368,369,370,373,374,375,376,377,378,379,380,381,382,383,384,386,387,388,
389,390,391,393,394,395,397,398,399,401,403,404,405,406,408,410,411,413,414,
415,416,417,418,419,420,421,422,423,424,426,427,428,429,430,432,434,435,436,
437,438,440,441,442,444,445,446,447,448,449,450,451,452,453,454,456,457,458,
459,460,461,462,463,464,465,466,468,469,470,471,472,473,474,475,476,477,479,
482,483,484,485,491,492,494,499,500,502,503,548,553,554,556,560,561,562,563,
598,599,600,611,612,614,617,642,643,646,647,648,649,650,652,653,654,655,656,
658,659,661,663,664,666,667,669,671,673,675,677,679,682,683,684,685,686,688,
689,690,691,692,693,696,697,698,699,700,701,702,706,707,708,711,712,713,714,
718,719,720,721,722,724,725,729,730,733,734,735,736,737,738,739,742,746,747,
748,749,751,752,753,754,755,757,758,760,762,765,767,769,771,774,776,777,778,
781,783,784,785,786,787,788,789,790,792,795,796,797,798,800,801,802,803,804,
805,810,813,902,903,906,920,954,955,956,963,988,990,991,994,995,998,999,1000,
1001,1002,1004,1006,1007,1010,1011,1012,1013,1015,1018,1020,1023,1025,1029,
1031,1032,1033,1034,1037,1039,1040,1043,1045,1048,1049,1052,1057,1066,1067,
1071,1072,1073,1074,1082,1093,1103,1155,1158,1159,1178,1192,1200,1201,1202,
1205,1207,1209,1227,1265,1269,1274,1280,1281,1286,1291,1307,1309,1392,1407,
1414,1424,1445,1493,1581],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,19,22,27,28,
29,30,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,
59,60,61,62,63,66,67,70,71,80,81,82,87,91,97,105,106,109,110,111,112,113,114,
115,116,117,118,119,122,123,124,125,126,127,130,131,132,133,138,145,146,149,
150,151,152,153,154,155,158,159,160,161,162,163,166,167,168,169,170,175,176,
177,178,179,180,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,
198,199,200,201,202,203,204,209,210,211,212,213,214,215,216,219,222,223,224,
253,254,261,270,271,277,278,281,288,309,310,311,312,315,316,317,318,319,320,
321,322,323,326,327,328,329,330,331,332,333,334,337,338,339,340,343,344,347,
348,349,350,351,352,353,354,357,358,359,360,363,364,365,366,367,368,369,376,
377,378,381,382,383,384,385,386,389,390,391,392,393,394,397,401,404,405,414,
427,428,429,436,441,442,443,445,458,459,460,469,470,473,474,475,476,477,478,
479,482,483,485,486,491,492,503,504,505,506,507,508,517,545,546,557,558,559,
566,567,581,601,602,608,641,642,647,648,653,654,655,656,657,658,659,660,661,
662,667,668,669,674,675,680,689,690,693,694,695,696,697,698,707,708,713,714,
717,718,721,724,729,730,734,735,746,747,748,764,765,770,771,778,779,780,787,
792,793,802,818,819,820,821,822,823,826,827,848,849,897,898,904,905,926,941,
942,949,989,990,993,994,1014,1019,1020,1025,1026,1031,1044,1045,1046,1049,
1050,1067,1068,1073,1074,1077,1078,1079,1080,1088,1153,1154,1169,1170,1181,
1182,1214,1229,1234,1264,1273,1274,1287,1288,1292,1297,1377,1378,1426,1455,
1495,1582],[1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,21,23,27,28,29,30,31,32,33,
34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,
61,62,63,64,65,66,67,68,69,70,71,79,83,86,89,93,98,106,107,108,110,111,112,
113,114,115,116,117,118,119,120,121,122,124,125,128,129,130,131,132,133,134,
135,136,139,140,141,142,143,144,147,148,149,150,151,152,153,155,156,157,158,
159,160,161,163,164,165,166,167,168,169,170,172,174,175,176,177,178,179,180,
181,182,183,184,185,186,187,188,190,191,192,193,194,195,196,197,198,199,201,
202,203,205,206,207,208,210,211,212,213,216,217,218,219,220,221,222,223,224,
225,226,227,228,258,264,269,274,276,283,290,310,311,312,313,314,315,317,318,
319,320,324,325,326,327,328,329,330,331,334,335,337,338,339,340,341,342,343,
345,346,347,349,351,352,353,355,357,359,361,362,363,364,366,367,370,372,373,
374,375,378,379,380,381,382,383,386,387,388,390,391,392,393,395,397,398,399,
400,402,403,404,406,408,411,412,413,416,417,418,419,420,422,423,424,425,426,
427,429,430,431,432,433,434,438,439,440,446,447,449,450,451,452,453,454,455,
456,457,459,462,463,464,465,466,467,468,472,474,478,479,480,483,486,488,489,
491,492,493,495,498,499,501,502,504,505,506,507,508,509,510,511,512,513,514,
515,516,517,518,548,550,556,560,564,577,589,604,607,642,643,646,648,649,650,
652,656,658,659,660,661,663,665,666,671,673,674,677,679,682,684,686,687,688,
689,691,692,694,695,700,704,705,707,709,714,716,718,719,722,723,724,726,728,
732,738,740,743,744,746,750,752,755,756,758,760,762,764,768,772,774,775,777,
779,780,781,782,784,785,786,788,790,791,793,794,795,797,798,799,801,806,807,
808,809,810,813,814,815,816,817,819,820,822,824,827,829,830,831,833,835,837,
838,840,842,844,847,895,899,906,923,928,947,950,957,960,990,991,996,997,1000,
1007,1010,1021,1026,1027,1029,1030,1032,1035,1036,1038,1044,1046,1047,1053,
1055,1056,1057,1060,1062,1063,1069,1070,1076,1077,1079,1083,1085,1090,1091,
1095,1097,1098,1099,1101,1104,1106,1152,1155,1162,1173,1183,1212,1221,1230,
1232,1235,1265,1272,1279,1283,1287,1294,1296,1299,1302,1304,1305,1368,1380,
1398,1422,1428,1454,1497,1508,1510,1583],[1,2,3,5,6,7,8,9,10,11,12,13,14,15,
16,21,23,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,
51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,79,84,85,90,94,
98,105,107,108,109,111,112,113,114,115,116,117,118,119,120,121,123,124,126,
128,129,130,131,132,133,134,135,137,139,140,141,142,143,144,147,148,149,150,
151,152,153,154,156,157,158,159,160,161,162,164,165,166,167,168,169,170,171,
173,175,176,177,178,179,180,181,182,183,184,185,186,187,188,190,191,192,193,
194,195,196,197,198,200,201,202,204,205,206,207,208,210,211,212,213,215,217,
218,219,220,221,222,223,224,225,226,227,228,258,265,268,273,275,282,289,309,
311,312,313,314,315,316,318,319,320,324,325,326,327,328,329,330,332,333,336,
337,338,339,340,341,342,344,345,346,348,350,351,352,354,356,358,360,361,362,
363,364,366,367,371,372,373,374,375,377,379,380,381,382,384,385,387,388,389,
391,392,394,396,397,398,399,400,402,403,405,407,409,410,412,413,415,417,418,
419,420,421,423,424,425,426,427,428,430,431,432,433,435,437,439,440,446,447,
448,450,451,452,453,454,455,456,457,458,461,463,464,465,466,467,468,471,473,
477,479,481,482,485,487,490,491,492,494,496,497,500,501,502,504,505,506,507,
508,509,510,511,512,513,514,515,516,517,518,547,549,555,561,565,578,588,603,
606,641,644,645,647,649,650,651,655,657,659,660,662,664,665,666,670,672,675,
676,678,681,683,685,687,688,690,691,692,693,696,699,703,706,708,710,713,715,
717,720,722,723,724,725,727,731,739,741,742,745,747,751,753,755,757,759,761,
763,765,769,773,774,775,776,779,780,781,782,783,785,786,789,790,791,793,794,
795,796,798,799,800,806,807,808,809,811,812,814,815,816,817,818,821,823,825,
826,828,830,831,832,834,837,839,841,843,845,847,896,900,907,922,927,948,951,
958,959,989,992,995,998,999,1008,1009,1022,1025,1028,1029,1030,1033,1034,1037,
1039,1044,1045,1048,1054,1055,1056,1058,1059,1061,1064,1069,1070,1075,1078,
1080,1084,1086,1089,1092,1094,1096,1098,1100,1102,1105,1107,1151,1156,1161,
1174,1184,1213,1222,1231,1233,1236,1266,1271,1280,1284,1288,1293,1296,1300,
1301,1303,1306,1367,1379,1397,1423,1427,1453,1496,1509,1511,1584],[1,2,3,4,5,
6,8,9,10,12,13,22,23,27,29,33,35,36,38,40,42,72,73,80,81,82,84,85,87,90,105,
111,112,115,117,119,271,273,275,278,281,282,302,309,311,523,527,543,545,546,
547,555,557,559,561,641,905,907,1111,1112,1149,1153,1156,1459,1461,1585],[1,2,
3,4,5,6,8,9,11,12,13,22,23,28,30,34,35,36,39,41,43,72,73,80,81,82,83,86,87,89,
106,111,113,114,116,118,270,274,276,277,281,283,302,310,312,523,526,544,545,
546,548,556,557,558,560,642,904,906,1111,1113,1150,1154,1155,1460,1462,1586],[
1,2,3,4,5,6,7,12,13,14,15,16,18,19,20,22,35,37,44,46,55,61,62,66,67,71,72,73,
78,80,87,88,91,92,95,97,100,133,146,175,189,209,222,230,231,233,234,235,250,
261,281,284,287,288,291,296,297,299,302,443,445,517,520,521,522,523,524,528,
529,530,531,533,534,581,618,625,627,848,851,852,853,854,855,859,860,861,865,
866,868,869,872,873,926,969,971,1114,1115,1116,1117,1118,1119,1123,1234,1246,
1247,1248,1311,1323,1328,1433,1470,1520,1587],[1,2,3,5,7,8,9,10,11,12,13,15,
16,17,18,21,23,27,28,30,33,36,37,38,40,42,43,46,47,48,49,50,51,52,53,56,57,59,
60,61,63,65,67,68,74,75,76,79,84,85,96,105,109,113,115,119,123,129,130,131,
135,139,142,143,147,152,154,157,160,165,166,169,179,181,184,188,191,193,195,
197,198,200,202,210,213,218,221,240,256,260,263,273,275,282,309,316,318,328,
333,336,339,348,350,354,361,363,372,375,379,385,392,407,409,412,421,424,425,
431,433,439,448,453,455,456,461,467,501,547,549,565,571,595,634,644,662,678,
685,763,775,783,794,812,876,888,891,907,922,927,958,1008,1131,1133,1135,1151,
1165,1338,1367,1522,1588],[1,2,3,5,7,8,9,10,11,12,13,15,16,17,18,21,23,27,28,
29,34,36,37,39,41,42,43,46,47,48,49,50,51,52,54,56,58,59,60,61,63,64,67,69,74,
75,76,79,83,86,96,106,110,112,114,118,122,128,130,132,134,140,141,144,148,153,
155,156,161,164,167,168,180,182,183,187,190,194,196,197,198,199,202,211,213,
217,220,240,255,259,262,274,276,283,310,317,319,329,334,335,340,347,349,353,
362,364,373,374,380,386,391,406,408,413,422,423,426,430,432,440,449,452,454,
457,462,468,502,548,550,564,572,594,634,643,661,679,686,762,774,784,795,813,
875,887,892,906,923,928,957,1007,1132,1134,1136,1152,1166,1337,1368,1523,
1589],[1,2,3,5,7,9,10,12,13,14,16,17,18,21,23,30,32,33,37,38,50,52,54,55,59,
61,64,66,68,69,71,74,79,84,85,96,105,109,135,139,152,157,162,173,175,184,193,
204,206,208,217,220,223,227,228,238,256,258,265,268,280,333,336,356,360,403,
431,477,481,490,494,507,509,513,547,549,565,593,634,644,742,745,815,818,825,
834,876,888,896,900,921,959,978,1094,1131,1151,1220,1342,1397,1522,1590],[1,2,
3,5,7,8,11,12,13,14,16,17,18,21,23,29,31,34,37,39,49,51,53,55,60,61,65,66,68,
69,71,74,79,83,86,96,106,110,134,140,153,156,163,174,175,183,194,203,205,207,
218,221,224,226,228,238,255,258,264,269,279,334,335,355,359,402,430,478,480,
489,493,506,510,514,548,550,564,592,634,643,743,744,814,819,824,835,875,887,
895,899,920,960,978,1095,1132,1152,1219,1341,1398,1523,1591],[1,2,3,4,6,8,9,
10,11,12,13,15,16,17,22,27,28,29,30,33,34,35,36,38,39,40,41,42,43,45,46,47,48,
49,50,51,52,56,57,58,59,60,61,62,67,74,75,76,80,81,104,106,111,112,113,114,
115,116,117,118,119,124,130,131,132,133,153,155,158,161,167,168,183,184,185,
186,187,188,190,191,192,193,194,195,196,197,198,201,210,211,212,213,237,240,
241,271,278,281,307,310,311,312,315,318,319,320,326,327,328,329,330,331,334,
337,340,343,347,349,353,364,367,381,386,390,391,397,535,544,546,635,642,656,
658,659,661,718,724,875,905,918,924,984,990,1132,1134,1136,1150,1253,1333,
1335,1337,1361,1435,1475,1525,1592],[1,2,3,4,6,8,9,10,11,12,13,15,16,17,22,27,
28,29,30,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,56,57,58,59,60,
61,62,67,74,75,76,80,82,104,105,111,112,113,114,115,116,117,118,119,124,130,
131,132,133,152,154,159,160,166,169,183,184,185,186,187,188,190,191,192,193,
194,195,196,197,198,201,210,211,212,213,237,240,241,270,277,281,307,309,311,
312,315,318,319,320,326,327,328,329,330,332,333,338,339,344,348,350,354,363,
366,382,385,389,392,397,535,543,545,635,641,655,657,660,662,717,724,876,904,
919,925,984,989,1131,1133,1135,1149,1254,1334,1336,1338,1362,1436,1474,1524,
1593],[1,2,3,4,5,7,8,9,12,15,19,20,22,23,25,29,30,37,45,46,47,48,62,63,73,77,
79,81,82,83,84,88,89,90,91,92,99,102,109,110,127,189,199,200,201,236,242,245,
247,251,252,253,254,270,271,272,287,295,304,323,525,526,527,538,549,550,551,
552,553,554,566,567,569,570,598,639,864,870,871,879,881,883,910,911,954,1109,
1110,1137,1262,1324,1325,1343,1440,1480,1594],[1,3,4,20,24,25,26,101,103,242,
248,541,620,621,622,964,965,1129,1351,1483,1530,1595],[1,3,5,23,24,25,26,101,
103,244,245,246,539,542,620,621,622,964,965,1125,1126,1127,1329,1330,1351,
1483,1531,1596],[1,2,3,4,5,6,7,12,13,14,17,18,19,20,21,22,23,35,37,44,55,66,
72,73,74,77,79,80,87,88,91,92,95,96,97,100,104,209,230,232,234,235,236,238,
249,257,258,261,272,281,284,287,288,291,296,297,299,302,307,523,525,530,532,
568,581,618,625,626,627,631,634,636,855,856,861,864,867,869,970,971,972,975,
978,1122,1123,1147,1148,1249,1354,1355,1533,1597],[1,2,3,4,6,8,9,10,11,12,13,
15,16,22,27,28,29,30,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,56,
57,58,59,60,61,62,67,72,80,81,82,87,105,106,111,112,113,114,115,116,117,118,
119,124,130,131,132,133,152,153,154,155,158,159,160,161,166,167,168,169,183,
184,185,186,187,188,190,191,192,193,194,195,196,197,198,201,210,211,212,213,
270,271,277,278,281,309,310,311,312,315,318,319,320,326,327,328,329,330,331,
332,333,334,337,338,339,340,343,344,347,348,349,350,353,354,363,364,366,367,
381,382,385,386,389,390,391,392,397,443,523,543,544,545,546,557,558,559,641,
642,655,656,657,658,659,660,661,662,680,717,718,724,904,905,918,919,924,925,
926,989,990,1014,1111,1149,1150,1153,1154,1214,1264,1361,1362,1459,1460,1489,
1490,1495,1598],[1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,22,23,27,28,29,30,32,33,
34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,54,56,57,58,59,60,61,62,
63,64,67,69,70,73,77,79,80,81,83,85,86,88,89,106,107,110,111,112,113,114,115,
116,117,118,119,121,122,124,128,130,131,132,133,134,136,140,141,144,148,151,
153,155,156,158,161,164,167,168,180,182,183,184,185,186,187,188,190,191,192,
193,194,195,196,197,198,199,201,202,206,208,210,211,212,213,216,217,219,220,
271,272,273,274,276,278,280,281,283,292,293,310,311,312,314,315,317,318,319,
320,324,326,327,328,329,330,331,334,335,337,340,342,343,346,347,349,352,353,
362,364,367,373,374,378,380,381,386,387,390,391,397,398,399,403,404,406,408,
411,413,416,417,419,422,423,426,430,432,434,438,440,447,449,451,452,454,457,
462,464,466,468,499,502,525,526,544,546,548,550,552,553,556,560,562,564,611,
614,642,643,646,648,650,656,658,659,661,663,666,677,679,682,684,686,688,691,
718,719,722,724,758,760,762,774,777,781,784,786,788,790,795,797,798,801,810,
813,902,903,905,906,918,923,924,928,957,990,1007,1010,1029,1032,1057,1109,
1113,1150,1152,1155,1158,1159,1162,1163,1179,1201,1202,1227,1232,1265,1361,
1368,1462,1463,1492,1493,1497,1599],[1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,22,
23,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,
56,57,58,59,60,61,62,63,65,67,68,70,73,77,79,80,82,84,85,86,88,90,105,108,109,
111,112,113,114,115,116,117,118,119,120,123,124,129,130,131,132,133,135,137,
139,142,143,147,150,152,154,157,159,160,165,166,169,179,181,183,184,185,186,
187,188,190,191,192,193,194,195,196,197,198,200,201,202,205,207,210,211,212,
213,215,218,219,221,270,272,273,274,275,277,279,281,282,292,294,309,311,312,
313,315,316,318,319,320,325,326,327,328,329,330,332,333,336,338,339,341,344,
345,348,350,351,354,361,363,366,372,375,377,379,382,385,388,389,392,397,398,
400,402,405,407,409,410,412,415,418,420,421,424,425,431,433,435,437,439,446,
448,450,453,455,456,461,463,465,467,500,501,525,527,543,545,547,549,551,554,
555,561,563,565,612,613,641,644,645,647,649,655,657,660,662,664,665,676,678,
681,683,685,687,692,717,720,723,724,759,761,763,775,776,782,783,785,789,791,
794,796,799,800,811,812,901,903,904,907,919,922,925,927,958,989,1008,1009,
1030,1033,1058,1110,1112,1149,1151,1156,1157,1160,1161,1164,1180,1200,1203,
1228,1233,1266,1362,1367,1461,1464,1491,1494,1496,1600],[1,2,3,4,5,6,8,9,10,
11,12,13,15,16,18,20,21,22,23,27,28,29,30,32,33,34,35,36,38,39,40,41,42,43,45,
46,47,48,49,50,51,52,54,56,57,58,59,60,61,62,64,67,69,73,80,82,84,85,89,90,93,
94,95,96,98,99,105,107,111,112,113,114,115,116,117,118,119,121,124,128,130,
131,132,133,134,140,141,144,148,151,152,153,154,156,158,159,160,161,164,166,
167,168,169,171,173,180,182,183,184,185,186,187,188,190,191,192,193,194,195,
196,197,198,201,206,208,210,211,212,213,217,220,232,235,236,251,256,260,263,
265,266,268,270,273,275,277,280,281,282,285,286,289,290,295,298,300,309,311,
312,314,315,318,319,320,324,326,327,328,329,330,332,333,337,338,339,340,342,
344,346,348,350,352,354,356,362,363,364,366,367,371,373,374,380,381,382,385,
387,389,391,392,396,397,399,403,413,417,419,423,426,430,432,440,447,451,452,
454,457,464,466,468,481,487,490,496,497,502,527,532,543,545,547,555,561,562,
571,574,578,579,583,585,588,590,593,595,599,603,606,619,641,650,651,655,657,
659,660,662,666,670,672,688,691,703,710,715,717,722,724,727,731,741,745,773,
774,781,786,790,795,798,858,863,870,888,890,891,893,896,904,907,912,914,919,
921,925,933,937,943,948,951,956,989,992,1022,1028,1029,1054,1064,1075,1112,
1121,1149,1156,1165,1167,1174,1175,1177,1184,1193,1217,1220,1225,1241,1271,
1315,1316,1321,1358,1362,1366,1369,1376,1379,1388,1391,1395,1461,1466,1500,
1512,1535,1538,1544,1601],[1,2,3,4,5,6,8,9,10,11,12,13,15,16,18,20,21,22,23,
27,28,29,30,31,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,56,57,
58,59,60,61,62,65,67,68,73,80,81,83,86,89,90,93,94,95,96,98,99,106,108,111,
112,113,114,115,116,117,118,119,120,124,129,130,131,132,133,135,139,142,143,
147,150,152,153,155,157,158,159,160,161,165,166,167,168,169,172,174,179,181,
183,184,185,186,187,188,190,191,192,193,194,195,196,197,198,201,205,207,210,
211,212,213,218,221,232,235,236,252,255,259,262,264,267,269,271,274,276,278,
279,281,283,285,286,289,290,295,298,300,310,311,312,313,315,318,319,320,325,
326,327,328,329,330,331,334,337,338,339,340,341,343,345,347,349,351,353,355,
361,363,364,366,367,370,372,375,379,381,382,386,388,390,391,392,395,397,400,
402,412,418,420,424,425,431,433,439,446,450,453,455,456,463,465,467,480,488,
489,495,498,501,526,532,544,546,548,556,560,563,572,573,577,580,582,584,589,
591,592,594,600,604,607,619,642,649,652,656,658,659,660,661,665,671,673,687,
692,704,709,716,718,723,724,728,732,740,744,772,775,782,785,791,794,799,857,
862,871,887,889,892,894,895,905,906,913,915,918,920,924,932,936,944,947,950,
955,990,991,1021,1027,1030,1053,1063,1076,1113,1120,1150,1155,1166,1168,1173,
1176,1178,1183,1192,1218,1219,1226,1240,1272,1314,1317,1322,1357,1361,1365,
1370,1375,1380,1387,1392,1396,1462,1465,1501,1513,1534,1539,1545,1602],[1,2,3,
4,6,7,8,9,10,11,12,13,14,15,16,19,20,22,27,28,29,30,33,34,35,36,37,38,39,40,
41,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,62,63,66,67,70,72,80,
81,82,87,88,91,92,95,97,100,105,109,110,111,112,113,114,115,116,117,118,119,
122,123,124,125,126,127,130,131,132,133,138,145,146,149,151,152,154,158,159,
160,162,163,166,169,170,175,176,177,178,179,180,183,184,185,186,187,188,189,
190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,209,210,211,212,
213,214,215,216,219,230,234,252,253,254,261,267,270,271,277,278,281,284,287,
288,291,296,297,299,309,311,312,315,316,317,318,319,320,321,322,323,326,327,
328,329,330,331,332,333,338,339,344,348,350,352,354,357,358,359,360,363,365,
366,368,369,376,378,382,383,384,385,389,392,393,394,397,401,404,405,414,427,
428,429,436,441,442,445,458,459,460,469,470,474,476,478,479,482,483,486,492,
503,523,530,543,545,546,552,557,559,566,567,569,573,581,584,587,596,601,608,
618,641,648,653,654,655,657,660,662,667,668,674,689,690,694,695,698,707,714,
717,721,724,729,734,747,748,764,770,778,787,792,802,855,861,869,885,886,889,
897,898,904,905,911,916,918,919,925,929,934,939,941,949,953,989,993,1019,1026,
1031,1046,1050,1068,1074,1111,1123,1149,1153,1169,1170,1171,1176,1179,1182,
1194,1215,1216,1223,1238,1273,1312,1313,1318,1360,1362,1363,1372,1374,1378,
1386,1389,1393,1459,1467,1502,1514,1537,1540,1543,1603],[1,2,3,4,6,7,8,9,10,
11,12,13,14,15,16,19,20,22,27,28,29,30,33,34,35,36,37,38,39,40,41,42,43,44,45,
46,47,48,49,50,51,52,55,56,57,58,59,60,61,62,63,66,67,70,72,80,81,82,87,88,91,
92,95,97,100,106,109,110,111,112,113,114,115,116,117,118,119,122,123,124,125,
126,127,130,131,132,133,138,145,146,149,150,153,155,158,159,161,162,163,167,
168,170,175,176,177,178,179,180,183,184,185,186,187,188,189,190,191,192,193,
194,195,196,197,198,199,200,201,202,203,204,209,210,211,212,213,214,215,216,
219,230,234,251,253,254,261,266,270,271,277,278,281,284,287,288,291,296,297,
299,310,311,312,315,316,317,318,319,320,321,322,323,326,327,328,329,330,331,
332,334,337,340,343,347,349,351,353,357,358,359,360,364,365,367,368,369,376,
377,381,383,384,386,390,391,393,394,397,401,404,405,414,427,428,429,436,441,
442,445,458,459,460,469,470,473,475,477,479,482,483,485,491,503,523,530,544,
545,546,551,557,558,566,567,570,574,581,585,586,597,602,608,618,642,647,653,
654,656,658,659,661,667,669,675,689,690,693,696,697,708,713,718,721,724,730,
735,746,748,765,771,778,787,792,802,855,861,869,885,886,890,897,898,904,905,
910,917,918,919,924,930,935,940,942,949,952,990,994,1020,1025,1031,1045,1049,
1067,1073,1111,1123,1150,1154,1169,1170,1172,1175,1180,1181,1195,1215,1216,
1224,1237,1274,1312,1313,1318,1359,1361,1364,1371,1373,1377,1385,1390,1394,
1460,1467,1503,1515,1536,1541,1542,1604],[1,3,5,16,23,24,68,69,71,98,101,228,
244,293,542,610,620,964,1125,1242,1329,1429,1430,1431,1471,1519,1550,1605],[1,
3,5,16,23,24,68,69,71,98,101,228,244,294,542,609,620,964,1125,1242,1329,1429,
1430,1431,1471,1519,1549,1606],[1,2,3,5,7,8,9,10,11,12,13,15,23,26,27,28,29,
30,31,32,36,37,42,43,45,46,47,48,57,58,62,63,70,77,85,86,89,90,99,103,107,108,
109,110,112,113,120,121,122,123,124,127,136,137,138,179,180,185,186,187,188,
189,199,200,201,202,214,215,216,219,246,272,273,274,275,276,279,280,292,295,
313,314,315,316,317,323,398,401,404,405,437,438,441,442,444,539,553,554,560,
561,562,563,598,599,600,611,612,617,628,629,663,664,667,749,903,954,955,956,
963,973,974,988,1144,1145,1200,1201,1209,1349,1350,1414,1521,1607],[1,3,5,9,
10,11,15,16,21,23,26,28,31,32,33,50,54,56,57,59,64,68,69,70,71,84,85,86,90,94,
98,103,105,108,135,137,142,150,154,165,169,173,191,195,206,217,223,227,228,
246,260,262,265,268,274,279,280,282,289,292,293,294,341,354,356,399,433,435,
485,487,496,504,512,513,539,555,563,580,583,588,604,606,609,610,612,613,615,
628,645,725,731,816,823,828,832,902,944,951,962,974,1096,1140,1144,1160,1186,
1196,1205,1345,1348,1349,1411,1419,1608],[1,3,5,8,10,11,15,16,21,23,26,27,31,
32,34,49,53,56,58,60,65,68,69,70,71,83,85,86,89,93,98,103,106,107,134,136,141,
151,155,164,168,174,190,196,205,218,224,226,228,246,259,263,264,269,273,279,
280,283,290,292,293,294,342,353,355,400,432,434,486,488,495,505,511,514,539,
556,562,579,582,589,603,607,609,610,611,614,616,629,646,726,732,817,822,829,
833,901,943,950,961,973,1097,1141,1145,1159,1185,1197,1206,1346,1348,1350,
1410,1418,1609],[1,2,3,5,8,9,10,11,12,13,15,16,18,21,23,26,27,28,30,32,33,36,
38,40,42,43,46,48,49,50,51,52,54,56,57,59,60,61,64,67,69,84,85,86,89,94,96,
103,105,107,113,115,119,128,130,131,134,152,154,160,166,169,171,173,182,184,
188,191,193,195,197,198,206,208,210,213,217,220,246,255,256,259,260,262,263,
265,268,273,274,275,276,280,282,286,293,309,318,324,328,333,339,348,350,354,
356,363,371,385,392,396,399,403,440,481,487,490,496,539,547,560,562,571,572,
578,580,583,588,591,593,594,595,614,629,651,662,666,703,715,727,731,741,745,
888,891,896,902,907,912,915,921,973,1075,1139,1140,1145,1165,1174,1177,1186,
1189,1202,1220,1225,1345,1347,1350,1381,1395,1555,1610],[1,2,3,5,8,9,10,11,12,
13,15,16,18,21,23,26,27,28,29,31,34,36,39,41,42,43,46,47,49,50,51,52,53,56,58,
59,60,61,65,67,68,83,85,86,90,93,96,103,106,108,112,114,118,129,130,132,135,
153,155,161,167,168,172,174,181,183,187,190,194,196,197,198,205,207,211,213,
218,221,246,255,256,259,260,262,263,264,269,273,274,275,276,279,283,285,294,
310,319,325,329,334,340,347,349,353,355,364,370,386,391,395,400,402,439,480,
488,489,495,539,548,561,563,571,572,577,579,582,589,590,592,594,595,613,628,
652,661,665,704,716,728,732,740,744,887,892,895,901,906,913,914,920,974,1076,
1139,1141,1144,1166,1173,1178,1185,1190,1203,1219,1226,1346,1347,1349,1382,
1396,1556,1611],[1,2,3,4,5,7,8,11,12,16,17,18,22,23,29,34,37,51,60,69,73,74,
77,79,81,83,86,88,89,104,106,110,134,140,153,156,183,235,255,271,272,283,293,
307,334,335,430,525,526,544,548,550,552,553,556,564,614,634,643,875,887,923,
924,1109,1113,1132,1148,1152,1158,1162,1163,1253,1314,1435,1463,1523,1612],[1,
2,3,4,5,7,9,10,12,16,17,18,22,23,30,33,37,52,59,68,73,74,77,79,82,84,85,88,90,
104,105,109,135,139,152,157,184,235,256,270,272,282,294,307,333,336,431,525,
527,543,547,549,551,554,555,565,613,634,644,876,888,922,925,1110,1112,1131,
1148,1151,1157,1161,1164,1254,1315,1436,1464,1522,1613],[1,2,3,4,6,7,8,9,10,
11,12,13,14,15,16,17,19,20,22,29,30,35,37,38,39,40,41,42,43,44,45,46,47,48,49,
50,51,52,55,56,61,62,63,66,67,72,74,75,76,81,82,87,88,91,92,95,97,100,109,110,
116,117,125,126,127,133,145,146,149,162,163,175,176,177,178,189,192,193,194,
199,200,201,203,204,209,210,211,212,213,230,231,233,234,237,238,239,240,241,
251,252,253,254,266,267,270,271,277,278,284,287,288,291,296,297,299,321,322,
323,330,359,360,368,369,376,445,458,459,460,469,470,520,521,522,528,529,530,
531,533,534,535,536,537,551,552,558,559,566,567,569,570,573,574,584,585,586,
587,596,597,601,602,618,632,633,787,851,852,853,854,859,860,865,866,873,877,
910,911,916,917,929,930,934,935,939,940,941,942,952,953,976,977,980,981,982,
983,1114,1115,1116,1117,1118,1237,1238,1251,1252,1255,1256,1258,1259,1328,
1352,1437,1438,1484,1485,1487,1558,1559,1560,1614],[1,2,3,4,6,7,8,9,10,11,12,
13,14,15,16,19,20,22,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,
46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,
80,81,87,88,91,92,95,97,100,105,106,107,108,109,110,111,112,113,114,115,116,
117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,
136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,
155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,
174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,
193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,
212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,252,254,
261,267,271,278,281,284,287,288,291,296,297,299,309,310,311,312,313,314,315,
316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,
335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,
354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,
373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,
392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,
411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,
430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,
449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,
468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,
487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,
506,507,508,509,510,511,512,513,514,515,516,517,518,544,546,552,557,559,567,
569,573,581,584,587,596,601,608,618,641,642,643,644,645,646,647,648,649,650,
651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,
670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,
689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,
708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,
727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,
746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,
765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,
784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,
803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,
822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,
841,842,843,844,845,846,847,848,849,885,889,894,898,905,911,916,918,924,929,
934,939,941,949,953,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,
1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,
1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,
1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,
1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,
1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,
1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,
1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,
1107,1150,1153,1163,1169,1171,1176,1179,1182,1194,1210,1216,1218,1223,1238,
1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,1278,
1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,
1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,1308,
1309,1310,1357,1359,1361,1363,1372,1374,1378,1386,1389,1393,1420,1444,1445,
1446,1447,1448,1449,1450,1451,1452,1453,1454,1455,1456,1457,1458,1489,1492,
1498,1501,1503,1504,1507,1514,1529,1562,1564,1568,1570,1572,1575,1576,1615],[
1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,19,20,22,27,28,29,30,31,32,33,34,35,36,
37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,
63,64,65,66,67,68,69,70,71,80,82,87,88,91,92,95,97,100,105,106,107,108,109,
110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,
129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,
148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,
167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,
186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,
205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,
224,225,226,227,228,251,253,261,266,270,277,281,284,287,288,291,296,297,299,
309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,
328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,
347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,
366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,
385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,
404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,
423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,
442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,
461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,
480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,
499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,
518,543,545,551,557,558,566,570,574,581,585,586,597,602,608,618,641,642,643,
644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,
663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,
682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,
701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,
720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,
739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,
758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,
777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,
796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,
815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,
834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,886,890,893,
897,904,910,917,919,925,930,935,940,942,949,952,988,989,990,991,992,993,994,
995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,
1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,
1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,
1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,
1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,
1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,
1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,
1101,1102,1103,1104,1105,1106,1107,1149,1154,1164,1170,1172,1175,1180,1181,
1195,1211,1215,1217,1224,1237,1264,1265,1266,1267,1268,1269,1270,1271,1272,
1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,
1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,
1303,1304,1305,1306,1307,1308,1309,1310,1358,1360,1362,1364,1371,1373,1377,
1385,1390,1394,1421,1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,
1455,1456,1457,1458,1490,1491,1499,1500,1502,1505,1506,1515,1529,1563,1565,
1569,1571,1573,1574,1577,1616],[1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,18,21,23,
27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,
53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,77,83,85,86,89,90,93,
94,96,98,99,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,
121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,
140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,
159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,
178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,
197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,
216,217,218,219,220,221,222,223,224,225,226,227,228,249,255,256,257,259,260,
262,263,264,265,269,272,273,274,275,276,279,280,283,285,286,289,290,292,293,
295,298,300,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,
325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,
344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,
363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,
382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,
401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,
420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,
439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,
458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,
477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,
496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,
515,516,517,518,548,553,554,556,560,561,562,563,568,571,572,575,576,577,578,
579,580,582,583,589,590,591,592,593,594,595,598,599,600,603,604,605,607,610,
611,612,614,616,617,619,641,642,643,644,645,646,647,648,649,650,651,652,653,
654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,
673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,
692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,
711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,
730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,
749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,
768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,
787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,
806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,
825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,
844,845,846,847,848,849,887,892,895,902,903,906,908,909,912,913,914,915,920,
931,932,933,936,937,938,943,944,945,946,947,948,950,954,955,956,961,963,988,
989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,
1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,
1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,
1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,
1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,
1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,
1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,
1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1155,1158,1159,
1166,1168,1173,1178,1183,1186,1187,1188,1189,1191,1192,1196,1198,1200,1201,
1202,1204,1205,1207,1209,1219,1226,1227,1239,1240,1241,1264,1265,1266,1267,
1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,
1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,
1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,1308,1309,1310,1365,1370,
1375,1380,1381,1383,1384,1387,1392,1396,1399,1402,1403,1404,1405,1407,1408,
1411,1413,1414,1415,1416,1418,1424,1444,1445,1446,1447,1448,1449,1450,1451,
1452,1453,1454,1455,1456,1457,1458,1493,1513,1517,1518,1529,1566,1579,1581,
1617],[1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,18,21,23,27,28,29,30,31,32,33,34,
35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,
61,62,63,64,65,66,67,68,69,70,71,77,84,85,86,89,90,93,94,96,98,99,105,106,107,
108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,
127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,
146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,
165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,
184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,
203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,
222,223,224,225,226,227,228,249,255,256,257,259,260,262,263,264,265,268,272,
273,274,275,276,279,280,282,285,286,289,290,292,294,295,298,300,309,310,311,
312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,
331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,
350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,
369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,
388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,
407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,
426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,
445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,
464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,
483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,
502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,547,553,
554,555,560,561,562,563,568,571,572,575,576,577,578,579,580,582,583,588,590,
591,592,593,594,595,598,599,600,603,604,605,606,609,611,612,613,615,617,619,
641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,
660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,
679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,
698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,
717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,
736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,
755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,
774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,
793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,
812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,
831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,
888,891,896,901,903,907,908,909,912,913,914,915,921,931,932,933,936,937,938,
943,944,945,946,947,948,951,954,955,956,962,963,988,989,990,991,992,993,994,
995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,
1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,
1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,
1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,
1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,
1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,
1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,
1101,1102,1103,1104,1105,1106,1107,1156,1157,1160,1165,1167,1174,1177,1184,
1185,1187,1188,1190,1191,1193,1197,1199,1200,1201,1203,1204,1206,1208,1209,
1220,1225,1228,1239,1240,1241,1264,1265,1266,1267,1268,1269,1270,1271,1272,
1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,
1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,
1303,1304,1305,1306,1307,1308,1309,1310,1366,1369,1376,1379,1382,1383,1384,
1388,1391,1395,1400,1401,1403,1404,1405,1406,1409,1410,1412,1414,1415,1417,
1419,1425,1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,1455,1456,
1457,1458,1494,1512,1516,1518,1529,1567,1578,1580,1618],[1,4,5,24,25,26,73,
242,243,244,245,246,247,248,620,621,622,639,640,1124,1125,1126,1127,1128,1129,
1351,1434,1530,1531,1532,1619],[1,2,3,4,5,6,8,9,10,11,12,13,15,16,18,19,20,21,
22,23,27,28,29,30,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,56,57,
58,59,60,61,62,67,72,73,80,81,82,84,85,87,90,92,93,95,96,105,111,112,113,114,
115,116,117,118,119,124,130,131,132,133,152,154,159,160,166,169,183,184,185,
186,187,188,190,191,192,193,194,195,196,197,198,201,210,211,212,213,234,235,
252,254,256,260,263,267,270,271,273,275,277,278,281,282,284,285,302,309,311,
312,315,318,319,320,326,327,328,329,330,332,333,338,339,344,348,350,354,363,
366,382,385,389,392,397,523,527,543,545,546,547,555,557,559,561,569,571,573,
579,584,587,590,595,625,641,655,657,660,662,717,724,861,863,885,888,889,891,
904,905,907,914,916,919,925,989,1111,1112,1149,1153,1156,1165,1167,1171,1176,
1313,1315,1362,1363,1366,1459,1461,1538,1540,1585,1620],[1,2,3,4,5,6,8,9,10,
11,12,13,15,16,18,19,20,21,22,23,27,28,29,30,33,34,35,36,38,39,40,41,42,43,45,
46,47,48,49,50,51,52,56,57,58,59,60,61,62,67,72,73,80,81,82,83,86,87,89,92,94,
95,96,106,111,112,113,114,115,116,117,118,119,124,130,131,132,133,153,155,158,
161,167,168,183,184,185,186,187,188,190,191,192,193,194,195,196,197,198,201,
210,211,212,213,234,235,251,253,255,259,262,266,270,271,274,276,277,278,281,
283,284,286,302,310,311,312,315,318,319,320,326,327,328,329,330,331,334,337,
340,343,347,349,353,364,367,381,386,390,391,397,523,526,544,545,546,548,556,
557,558,560,570,572,574,580,585,586,591,594,625,642,656,658,659,661,718,724,
861,862,886,887,890,892,904,905,906,915,917,918,924,990,1111,1113,1150,1154,
1155,1166,1168,1172,1175,1312,1314,1361,1364,1365,1460,1462,1539,1541,1586,
1621],[1,2,3,4,5,6,7,8,9,10,12,13,14,15,19,22,23,27,29,33,35,36,37,38,40,42,
44,46,47,48,55,58,63,66,72,73,80,81,82,84,85,87,88,90,91,97,100,105,110,111,
112,115,117,119,122,125,151,158,163,170,177,178,180,187,199,202,204,209,230,
234,253,254,261,271,273,275,278,281,282,288,296,302,309,311,317,321,331,352,
358,365,369,378,383,393,523,527,543,545,546,547,552,555,557,559,561,567,581,
596,601,608,627,641,648,654,668,674,855,869,886,897,898,905,907,918,941,949,
953,993,1111,1112,1149,1153,1156,1169,1179,1182,1194,1312,1318,1360,1378,1389,
1459,1461,1537,1543,1585,1622],[1,2,3,4,5,6,7,8,9,11,12,13,14,15,19,22,23,28,
30,34,35,36,37,39,41,43,44,46,47,48,55,57,63,66,72,73,80,81,82,83,86,87,88,89,
91,97,100,106,109,111,113,114,116,118,123,126,150,159,162,170,176,178,179,188,
200,202,203,209,230,234,253,254,261,270,274,276,277,281,283,288,296,302,310,
312,316,322,332,351,357,365,368,377,384,394,523,526,544,545,546,548,551,556,
557,558,560,566,581,597,602,608,627,642,647,653,669,675,855,869,885,897,898,
904,906,919,942,949,952,994,1111,1113,1150,1154,1155,1170,1180,1181,1195,1313,
1318,1359,1377,1390,1460,1462,1536,1542,1586,1623],[1,2,3,4,5,6,8,9,10,12,13,
15,16,20,21,22,23,27,29,32,33,35,36,38,40,42,45,48,50,52,54,58,60,64,72,73,80,
81,82,84,85,87,89,90,94,98,99,105,107,111,112,115,117,119,121,128,156,161,164,
167,171,173,180,182,185,198,206,208,232,236,251,265,266,268,271,273,275,278,
280,281,282,289,295,302,309,311,314,324,337,346,356,362,371,380,387,396,523,
527,543,545,546,547,555,557,559,561,562,578,588,599,603,606,626,641,650,651,
670,672,858,870,890,893,896,905,907,921,948,951,956,992,1111,1112,1149,1153,
1156,1174,1177,1184,1193,1316,1321,1358,1379,1391,1459,1461,1535,1544,1585,
1624],[1,2,3,4,5,6,8,9,11,12,13,15,16,20,21,22,23,28,30,31,34,35,36,39,41,43,
45,47,49,51,53,57,59,65,72,73,80,81,82,83,86,87,89,90,93,98,99,106,108,111,
113,114,116,118,120,129,157,160,165,166,172,174,179,181,186,197,205,207,232,
236,252,264,267,269,270,274,276,277,279,281,283,290,295,302,310,312,313,325,
338,345,355,361,370,379,388,395,523,526,544,545,546,548,556,557,558,560,563,
577,589,600,604,607,626,642,649,652,671,673,857,871,889,894,895,904,906,920,
947,950,955,991,1111,1113,1150,1154,1155,1173,1178,1183,1192,1317,1322,1357,
1380,1392,1460,1462,1534,1545,1586,1625],[1,2,4,5,6,7,14,18,22,24,25,44,73,77,
78,79,87,88,100,102,235,242,243,244,245,247,248,249,250,296,303,304,305,524,
525,538,540,621,630,639,640,867,868,878,879,880,881,882,883,884,986,1124,1126,
1128,1129,1138,1142,1143,1146,1262,1263,1434,1441,1442,1443,1548,1626],[1,2,3,
4,6,8,9,12,13,17,19,20,22,35,36,72,74,75,76,80,81,82,87,92,95,104,111,231,234,
237,240,241,281,284,301,306,307,308,523,531,535,545,546,557,623,624,631,632,
633,635,638,861,967,979,984,1111,1147,1250,1331,1356,1473,1486,1627],[1,2,3,4,
6,8,9,10,11,12,13,15,16,17,19,20,22,27,28,29,30,33,34,35,36,38,39,40,41,42,43,
45,46,47,48,49,50,51,52,56,57,58,59,60,61,62,67,74,75,76,80,81,82,87,92,95,
105,106,111,112,113,114,115,116,117,118,119,124,130,131,132,133,152,153,154,
155,158,159,160,161,166,167,168,169,183,184,185,186,187,188,190,191,192,193,
194,195,196,197,198,201,210,211,212,213,237,240,241,251,253,266,270,271,277,
278,281,284,309,310,311,312,315,318,319,320,326,327,328,329,330,331,332,333,
334,337,338,339,340,343,344,347,348,349,350,353,354,363,364,366,367,381,382,
385,386,389,390,391,392,397,443,535,545,546,557,558,559,570,574,585,586,631,
633,641,642,655,656,657,658,659,660,661,662,680,717,718,724,875,886,890,904,
905,917,926,979,981,983,989,990,1014,1132,1134,1136,1153,1154,1172,1175,1214,
1250,1252,1264,1333,1335,1337,1364,1475,1495,1628],[1,2,3,4,6,8,9,10,11,12,13,
15,16,17,19,20,22,27,28,29,30,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,
51,52,56,57,58,59,60,61,62,67,74,75,76,80,81,82,87,92,95,105,106,111,112,113,
114,115,116,117,118,119,124,130,131,132,133,152,153,154,155,158,159,160,161,
166,167,168,169,183,184,185,186,187,188,190,191,192,193,194,195,196,197,198,
201,210,211,212,213,237,240,241,252,254,267,270,271,277,278,281,284,309,310,
311,312,315,318,319,320,326,327,328,329,330,331,332,333,334,337,338,339,340,
343,344,347,348,349,350,353,354,363,364,366,367,381,382,385,386,389,390,391,
392,397,443,535,545,546,557,558,559,569,573,584,587,631,632,641,642,655,656,
657,658,659,660,661,662,680,717,718,724,876,885,889,904,905,916,926,979,980,
982,989,990,1014,1131,1133,1135,1153,1154,1171,1176,1214,1250,1251,1264,1334,
1336,1338,1363,1474,1495,1629],[1,2,3,5,6,7,8,9,10,11,12,13,15,16,17,18,21,23,
27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,54,56,
57,58,59,60,61,62,63,64,67,69,70,74,75,76,79,83,86,89,94,96,106,107,110,111,
112,113,114,115,116,117,118,119,121,122,124,128,130,131,132,133,134,136,140,
141,144,148,151,153,155,156,158,161,164,167,168,180,182,183,184,185,186,187,
188,190,191,192,193,194,195,196,197,198,199,201,202,206,208,210,211,212,213,
216,217,219,220,237,240,241,255,259,262,274,276,283,286,310,311,312,314,315,
317,318,319,320,324,326,327,328,329,330,331,334,335,337,340,342,343,346,347,
349,352,353,362,364,367,373,374,378,380,381,386,387,390,391,397,398,399,403,
404,406,408,411,413,416,417,419,422,423,426,430,432,434,438,440,447,449,451,
452,454,457,462,464,466,468,499,502,535,548,550,556,560,564,572,580,591,594,
634,642,643,646,648,650,656,658,659,661,663,666,677,679,682,684,686,688,691,
718,719,722,724,758,760,762,774,777,781,784,786,788,790,795,797,798,801,810,
813,875,887,892,906,915,923,928,957,990,1007,1010,1029,1032,1057,1132,1134,
1136,1152,1155,1162,1166,1168,1232,1265,1333,1335,1337,1365,1368,1475,1497,
1523,1589,1630],[1,2,3,5,6,7,8,9,10,11,12,13,15,16,17,18,21,23,27,28,29,30,31,
33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,56,57,58,59,60,61,
62,63,65,67,68,70,74,75,76,79,84,85,90,93,96,105,108,109,111,112,113,114,115,
116,117,118,119,120,123,124,129,130,131,132,133,135,137,139,142,143,147,150,
152,154,157,159,160,165,166,169,179,181,183,184,185,186,187,188,190,191,192,
193,194,195,196,197,198,200,201,202,205,207,210,211,212,213,215,218,219,221,
237,240,241,256,260,263,273,275,282,285,309,311,312,313,315,316,318,319,320,
325,326,327,328,329,330,332,333,336,338,339,341,344,345,348,350,351,354,361,
363,366,372,375,377,379,382,385,388,389,392,397,398,400,402,405,407,409,410,
412,415,418,420,421,424,425,431,433,435,437,439,446,448,450,453,455,456,461,
463,465,467,500,501,535,547,549,555,561,565,571,579,590,595,634,641,644,645,
647,649,655,657,660,662,664,665,676,678,681,683,685,687,692,717,720,723,724,
759,761,763,775,776,782,783,785,789,791,794,796,799,800,811,812,876,888,891,
907,914,922,927,958,989,1008,1009,1030,1033,1058,1131,1133,1135,1151,1156,
1161,1165,1167,1233,1266,1334,1336,1338,1366,1367,1474,1496,1522,1588,1631],[
1,2,3,5,7,8,9,10,11,12,13,15,16,17,18,21,23,27,28,30,33,36,37,38,40,42,43,46,
47,48,49,50,51,52,53,56,57,58,59,60,61,63,64,65,67,68,71,74,75,76,79,84,85,96,
98,99,105,109,113,115,119,121,123,128,129,130,131,132,135,139,140,141,142,143,
147,148,150,152,154,157,158,159,160,161,164,165,166,167,169,171,173,179,181,
184,188,191,193,195,197,198,200,202,210,213,218,221,222,223,224,239,240,256,
260,263,273,275,282,298,309,316,318,328,333,336,339,348,350,354,361,363,372,
375,377,379,381,385,387,392,396,407,409,412,413,421,424,425,431,433,439,448,
453,455,456,461,464,467,468,473,479,481,485,487,501,504,507,508,510,511,536,
547,549,565,571,595,599,603,606,634,644,662,672,678,685,693,703,708,722,763,
769,773,775,780,783,794,812,821,823,825,830,832,841,845,847,876,888,891,907,
922,927,937,958,1008,1037,1061,1064,1069,1080,1084,1131,1133,1135,1151,1165,
1184,1193,1213,1236,1306,1338,1340,1367,1369,1476,1511,1522,1588,1632],[1,2,3,
5,7,8,9,10,11,12,13,15,16,17,18,21,23,27,28,29,34,36,37,39,41,42,43,46,47,48,
49,50,51,52,54,56,57,58,59,60,61,63,64,65,67,69,71,74,75,76,79,83,86,96,98,99,
106,110,112,114,118,120,122,128,129,130,131,132,134,139,140,141,142,144,147,
148,151,153,155,156,158,159,160,161,164,165,166,167,168,172,174,180,182,183,
187,190,194,196,197,198,199,202,211,213,217,220,222,223,224,239,240,255,259,
262,274,276,283,298,310,317,319,329,334,335,340,347,349,353,362,364,373,374,
378,380,382,386,388,391,395,406,408,412,413,422,423,426,430,432,440,449,452,
454,457,462,463,467,468,474,479,480,486,488,502,505,506,508,509,512,536,548,
550,564,572,594,600,604,607,634,643,661,673,679,686,694,704,707,723,762,768,
772,774,779,784,795,813,820,822,824,831,833,840,844,847,875,887,892,906,923,
928,936,957,1007,1036,1062,1063,1070,1079,1083,1132,1134,1136,1152,1166,1183,
1192,1212,1235,1305,1337,1339,1368,1370,1477,1510,1523,1589,1633],[1,2,3,5,7,
8,9,10,11,12,13,14,15,16,17,18,21,23,27,28,30,32,33,36,37,38,40,42,43,46,47,
48,49,50,51,52,53,54,55,56,57,59,60,61,63,64,65,66,67,68,69,71,74,75,76,79,84,
85,89,94,96,105,107,109,113,115,119,123,126,128,129,130,131,134,135,139,142,
143,147,149,152,154,157,160,162,165,166,169,170,171,173,175,177,179,181,182,
184,188,191,193,195,197,198,200,202,204,206,208,210,213,217,218,220,221,222,
223,224,225,226,227,228,238,240,256,258,260,263,265,268,273,275,280,282,286,
309,316,318,324,328,333,336,339,348,350,354,356,358,360,361,363,371,372,375,
379,384,385,392,396,399,403,407,409,412,421,424,425,427,428,431,433,439,440,
448,453,455,456,458,461,467,477,481,487,490,494,496,501,504,507,508,509,512,
513,514,515,516,518,537,547,549,562,565,571,578,583,588,593,595,634,644,651,
662,666,678,685,690,696,703,706,715,727,731,741,742,745,757,763,775,780,783,
794,806,808,812,815,816,818,825,826,831,834,837,841,843,876,888,891,896,900,
907,912,921,922,927,958,959,978,998,1008,1055,1061,1075,1078,1086,1089,1094,
1102,1105,1131,1133,1135,1151,1165,1174,1177,1220,1222,1225,1231,1301,1338,
1342,1367,1395,1397,1478,1509,1522,1588,1590,1634],[1,2,3,5,7,8,9,10,11,12,13,
14,15,16,17,18,21,23,27,28,29,31,34,36,37,39,41,42,43,46,47,48,49,50,51,52,53,
54,55,56,58,59,60,61,63,64,65,66,67,68,69,71,74,75,76,79,83,86,90,93,96,106,
108,110,112,114,118,122,125,128,129,130,132,134,135,140,141,144,148,149,153,
155,156,161,163,164,167,168,170,172,174,175,176,180,181,182,183,187,190,194,
196,197,198,199,202,203,205,207,211,213,217,218,220,221,222,223,224,225,226,
227,228,238,240,255,258,259,262,264,269,274,276,279,283,285,310,317,319,325,
329,334,335,340,347,349,353,355,357,359,362,364,370,373,374,380,383,386,391,
395,400,402,406,408,413,422,423,426,427,429,430,432,439,440,449,452,454,457,
459,462,468,478,480,488,489,493,495,502,505,506,508,510,511,513,514,515,516,
518,537,548,550,563,564,572,577,582,589,592,594,634,643,652,661,665,679,686,
689,695,704,705,716,728,732,740,743,744,756,762,774,779,784,795,807,809,813,
814,817,819,824,827,830,835,837,840,842,875,887,892,895,899,906,913,920,923,
928,957,960,978,997,1007,1056,1062,1076,1077,1085,1090,1095,1101,1104,1132,
1134,1136,1152,1166,1173,1178,1219,1221,1226,1230,1302,1337,1341,1368,1396,
1398,1479,1508,1523,1589,1591,1635],[1,2,3,4,6,8,9,10,11,12,13,14,15,16,17,22,
27,28,29,30,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,56,57,58,59,
60,61,62,63,66,67,71,74,75,76,80,82,97,104,105,111,112,113,114,115,116,117,
118,119,123,124,126,130,131,132,133,150,152,154,159,160,162,166,169,170,176,
178,183,184,185,186,187,188,190,191,192,193,194,195,196,197,198,201,210,211,
212,213,222,223,224,237,238,239,240,241,270,277,281,307,309,311,312,315,318,
319,320,326,327,328,329,330,332,333,338,339,344,348,350,354,363,366,377,382,
384,385,389,392,394,397,477,482,485,491,504,505,506,507,508,517,535,536,537,
543,545,602,608,635,636,641,655,657,660,662,675,693,696,713,717,724,779,780,
793,818,821,823,826,876,877,904,919,925,984,989,1025,1044,1078,1080,1131,1133,
1135,1149,1181,1211,1254,1261,1288,1334,1336,1338,1340,1342,1362,1436,1474,
1476,1478,1506,1524,1526,1554,1593,1636],[1,2,3,4,6,8,9,10,11,12,13,14,15,16,
17,22,27,28,29,30,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,56,57,
58,59,60,61,62,63,66,67,71,74,75,76,80,81,97,104,106,111,112,113,114,115,116,
117,118,119,122,124,125,130,131,132,133,151,153,155,158,161,163,167,168,170,
177,178,183,184,185,186,187,188,190,191,192,193,194,195,196,197,198,201,210,
211,212,213,222,223,224,237,238,239,240,241,271,278,281,307,310,311,312,315,
318,319,320,326,327,328,329,330,331,334,337,340,343,347,349,353,364,367,378,
381,383,386,390,391,393,397,478,483,486,492,504,505,506,507,508,517,535,536,
537,544,546,601,608,635,636,642,656,658,659,661,674,694,695,714,718,724,779,
780,793,819,820,822,827,875,877,905,918,924,984,990,1026,1044,1077,1079,1132,
1134,1136,1150,1182,1210,1253,1261,1287,1333,1335,1337,1339,1341,1361,1435,
1475,1477,1479,1507,1525,1527,1553,1592,1637],[1,2,3,4,5,6,7,8,9,10,11,12,13,
14,15,16,18,19,20,21,22,23,25,29,30,35,37,38,39,40,41,42,43,44,45,46,47,48,49,
50,51,52,55,56,61,62,63,66,67,73,77,79,81,82,83,84,87,88,89,90,91,92,93,94,95,
96,97,98,99,100,102,109,110,116,117,125,126,127,133,145,146,149,162,163,175,
176,177,178,189,192,193,194,199,200,201,203,204,209,210,211,212,213,232,235,
236,242,245,247,249,251,252,253,254,257,258,266,267,268,269,270,271,272,277,
278,284,285,286,287,288,289,290,291,295,296,297,298,299,300,303,304,305,321,
322,323,330,359,360,368,369,376,445,458,459,460,469,470,525,526,527,532,538,
540,549,550,551,552,553,554,558,559,566,567,568,569,570,573,574,575,576,584,
585,586,587,596,597,598,601,602,605,618,619,630,639,787,856,857,858,862,863,
864,867,870,871,878,879,881,883,884,899,900,908,909,910,911,916,917,929,930,
931,934,935,938,939,940,941,942,945,946,952,953,954,986,1109,1110,1120,1121,
1122,1137,1143,1146,1237,1238,1239,1262,1319,1320,1324,1325,1326,1327,1343,
1344,1440,1442,1468,1469,1480,1481,1482,1528,1557,1594,1638],[1,3,4,9,10,17,
20,33,75,82,104,105,229,308,519,543,632,876,1254,1639],[1,3,4,8,11,17,20,34,
75,81,104,106,229,308,519,544,633,875,1253,1640],[1,2,3,4,6,7,8,9,10,11,12,13,
14,15,16,19,22,27,28,29,30,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,
50,51,52,55,56,57,58,59,60,61,62,63,66,67,70,71,72,80,81,82,87,91,97,105,106,
109,110,111,112,113,114,115,116,117,118,119,122,123,124,125,126,127,130,131,
132,133,138,145,146,149,150,151,152,153,154,155,158,159,160,161,162,163,166,
167,168,169,170,175,176,177,178,179,180,183,184,185,186,187,188,189,190,191,
192,193,194,195,196,197,198,199,200,201,202,203,204,209,210,211,212,213,214,
215,216,219,222,223,224,230,253,254,261,270,271,277,278,281,288,309,310,311,
312,315,316,317,318,319,320,321,322,323,326,327,328,329,330,331,332,333,334,
337,338,339,340,343,344,347,348,349,350,351,352,353,354,357,358,359,360,363,
364,365,366,367,368,369,376,377,378,381,382,383,384,385,386,389,390,391,392,
393,394,397,401,404,405,414,427,428,429,436,441,442,443,445,458,459,460,469,
470,473,474,475,476,477,478,479,482,483,485,486,491,492,503,504,505,506,507,
508,517,523,543,544,545,546,557,558,559,566,567,581,601,602,608,641,642,647,
648,653,654,655,656,657,658,659,660,661,662,667,668,669,674,675,680,689,690,
693,694,695,696,697,698,707,708,713,714,717,718,721,724,729,730,734,735,746,
747,748,764,765,770,771,778,779,780,787,792,793,802,818,819,820,821,822,823,
826,827,848,849,855,885,886,897,898,904,905,918,919,924,925,926,941,942,949,
989,990,993,994,1014,1019,1020,1025,1026,1031,1044,1045,1046,1049,1050,1067,
1068,1073,1074,1077,1078,1079,1080,1088,1111,1149,1150,1153,1154,1169,1170,
1181,1182,1210,1211,1214,1215,1216,1229,1234,1264,1273,1274,1287,1288,1292,
1297,1318,1359,1360,1361,1362,1377,1378,1426,1455,1459,1460,1489,1490,1495,
1502,1503,1506,1507,1536,1537,1576,1577,1582,1598,1641],[1,2,3,4,6,7,8,9,10,
11,12,13,14,15,16,19,20,22,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,
45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,66,67,69,70,72,80,81,
82,87,88,92,95,100,105,106,107,110,111,112,113,114,115,116,117,118,119,121,
122,124,125,128,130,131,132,133,134,136,140,141,144,148,151,152,153,154,155,
156,158,159,160,161,163,164,166,167,168,169,170,171,173,177,178,180,182,183,
184,185,186,187,188,190,191,192,193,194,195,196,197,198,199,201,202,204,206,
208,209,210,211,212,213,216,217,219,220,234,251,253,261,266,270,271,277,278,
281,284,296,309,310,311,312,314,315,317,318,319,320,321,324,326,327,328,329,
330,331,332,333,334,335,337,338,339,340,342,343,344,346,347,348,349,350,352,
353,354,356,358,362,363,364,365,366,367,369,371,373,374,378,380,381,382,383,
385,386,387,389,390,391,392,393,396,397,398,399,403,404,406,408,411,413,416,
417,419,422,423,426,430,432,434,438,440,443,447,449,451,452,454,457,462,464,
466,468,471,472,473,475,481,484,487,490,491,493,496,497,499,502,523,543,544,
545,546,552,557,558,559,570,574,585,586,596,641,642,643,646,648,650,651,654,
655,656,657,658,659,660,661,662,663,666,668,670,672,674,677,679,680,682,684,
686,688,691,700,702,703,705,710,712,715,717,718,719,722,724,727,731,733,735,
736,739,741,745,758,760,762,766,768,773,774,777,781,784,786,788,790,795,797,
798,801,810,813,861,869,886,890,893,897,904,905,917,918,919,924,925,926,953,
989,990,992,993,1007,1010,1014,1016,1017,1022,1024,1028,1029,1032,1047,1051,
1054,1057,1064,1065,1072,1075,1111,1149,1150,1153,1154,1163,1172,1175,1179,
1194,1214,1217,1224,1264,1265,1267,1270,1271,1275,1277,1312,1358,1360,1361,
1362,1364,1389,1447,1459,1460,1489,1490,1492,1495,1499,1500,1504,1541,1543,
1563,1572,1598,1642],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,19,20,22,27,28,29,
30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,
58,59,60,61,62,63,65,66,67,68,70,72,80,81,82,87,88,92,95,100,105,106,108,109,
111,112,113,114,115,116,117,118,119,120,123,124,126,129,130,131,132,133,135,
137,139,142,143,147,150,152,153,154,155,157,158,159,160,161,162,165,166,167,
168,169,170,172,174,176,178,179,181,183,184,185,186,187,188,190,191,192,193,
194,195,196,197,198,200,201,202,203,205,207,209,210,211,212,213,215,218,219,
221,234,252,254,261,267,270,271,277,278,281,284,296,309,310,311,312,313,315,
316,318,319,320,322,325,326,327,328,329,330,331,332,333,334,336,337,338,339,
340,341,343,344,345,347,348,349,350,351,353,354,355,357,361,363,364,365,366,
367,368,370,372,375,377,379,381,382,384,385,386,388,389,390,391,392,394,395,
397,398,400,402,405,407,409,410,412,415,418,420,421,424,425,431,433,435,437,
439,443,446,448,450,453,455,456,461,463,465,467,471,472,474,476,480,484,488,
489,492,494,495,498,500,501,523,543,544,545,546,551,557,558,559,569,573,584,
587,597,641,642,644,645,647,649,652,653,655,656,657,658,659,660,661,662,664,
665,669,671,673,675,676,678,680,681,683,685,687,692,699,701,704,706,709,711,
716,717,718,720,723,724,728,732,733,734,737,738,740,744,759,761,763,767,769,
772,775,776,782,783,785,789,791,794,796,799,800,811,812,861,869,885,889,894,
898,904,905,916,918,919,924,925,926,952,989,990,991,994,1008,1009,1014,1015,
1018,1021,1023,1027,1030,1033,1048,1052,1053,1058,1063,1066,1071,1076,1111,
1149,1150,1153,1154,1164,1171,1176,1180,1195,1214,1218,1223,1264,1266,1268,
1269,1272,1276,1278,1313,1357,1359,1361,1362,1363,1390,1446,1459,1460,1489,
1490,1491,1495,1498,1501,1505,1540,1542,1562,1573,1598,1643],[1,2,3,4,5,6,7,8,
9,10,11,12,13,14,15,16,20,21,22,23,27,28,29,30,31,32,33,34,35,36,37,38,39,40,
41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,
68,69,70,71,73,77,79,80,81,83,85,86,88,89,93,95,97,98,106,107,108,110,111,112,
113,114,115,116,117,118,119,120,121,122,124,125,128,129,130,131,132,133,134,
135,136,139,140,141,142,143,144,147,148,149,150,151,152,153,155,156,157,158,
159,160,161,163,164,165,166,167,168,169,170,172,174,175,176,177,178,179,180,
181,182,183,184,185,186,187,188,190,191,192,193,194,195,196,197,198,199,201,
202,203,205,206,207,208,210,211,212,213,216,217,218,219,220,221,222,223,224,
225,226,227,228,232,252,257,258,263,264,267,269,271,272,273,274,276,278,280,
281,283,290,291,292,293,310,311,312,313,314,315,317,318,319,320,324,325,326,
327,328,329,330,331,334,335,337,338,339,340,341,342,343,345,346,347,349,351,
352,353,355,357,359,361,362,363,364,366,367,370,372,373,374,375,378,379,380,
381,382,383,386,387,388,390,391,392,393,395,397,398,399,400,402,403,404,406,
408,411,412,413,416,417,418,419,420,422,423,424,425,426,427,429,430,431,432,
433,434,438,439,440,446,447,449,450,451,452,453,454,455,456,457,459,462,463,
464,465,466,467,468,472,474,478,479,480,483,486,488,489,491,492,493,495,498,
499,501,502,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,525,
526,544,546,548,550,552,553,556,560,562,564,573,575,577,579,584,589,601,603,
604,605,607,608,610,611,614,616,642,643,646,648,649,650,652,656,658,659,660,
661,663,665,666,671,673,674,677,679,682,684,686,687,688,689,691,692,694,695,
700,704,705,707,709,714,716,718,719,722,723,724,726,728,732,738,740,743,744,
746,750,752,755,756,758,760,762,764,768,772,774,775,777,779,780,781,782,784,
785,786,788,790,791,793,794,795,797,798,799,801,806,807,808,809,810,813,814,
815,816,817,819,820,822,824,827,829,830,831,833,835,837,838,840,842,844,847,
856,857,889,894,895,899,902,903,905,906,918,923,924,928,939,943,945,947,950,
957,960,961,990,991,996,997,1000,1007,1010,1021,1026,1027,1029,1030,1032,1035,
1036,1038,1044,1046,1047,1053,1055,1056,1057,1060,1062,1063,1069,1070,1076,
1077,1079,1083,1085,1090,1091,1095,1097,1098,1099,1101,1104,1106,1109,1113,
1150,1152,1155,1158,1159,1162,1163,1173,1176,1179,1182,1183,1187,1196,1198,
1201,1202,1204,1210,1212,1218,1221,1227,1230,1232,1235,1265,1272,1279,1283,
1287,1294,1296,1299,1302,1304,1305,1319,1322,1357,1361,1368,1380,1386,1398,
1404,1413,1416,1418,1420,1422,1428,1454,1462,1463,1492,1493,1497,1501,1507,
1508,1510,1534,1546,1570,1579,1583,1599,1644],[1,2,3,4,5,6,7,8,9,10,11,12,13,
14,15,16,20,21,22,23,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,
47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,
77,79,80,82,84,85,86,88,90,94,95,97,98,105,107,108,109,111,112,113,114,115,
116,117,118,119,120,121,123,124,126,128,129,130,131,132,133,134,135,137,139,
140,141,142,143,144,147,148,149,150,151,152,153,154,156,157,158,159,160,161,
162,164,165,166,167,168,169,170,171,173,175,176,177,178,179,180,181,182,183,
184,185,186,187,188,190,191,192,193,194,195,196,197,198,200,201,202,204,205,
206,207,208,210,211,212,213,215,217,218,219,220,221,222,223,224,225,226,227,
228,232,251,257,258,262,265,266,268,270,272,273,274,275,277,279,281,282,289,
291,292,294,309,311,312,313,314,315,316,318,319,320,324,325,326,327,328,329,
330,332,333,336,337,338,339,340,341,342,344,345,346,348,350,351,352,354,356,
358,360,361,362,363,364,366,367,371,372,373,374,375,377,379,380,381,382,384,
385,387,388,389,391,392,394,396,397,398,399,400,402,403,405,407,409,410,412,
413,415,417,418,419,420,421,423,424,425,426,427,428,430,431,432,433,435,437,
439,440,446,447,448,450,451,452,453,454,455,456,457,458,461,463,464,465,466,
467,468,471,473,477,479,481,482,485,487,490,491,492,494,496,497,500,501,502,
504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,525,527,543,545,
547,549,551,554,555,561,563,565,574,576,578,580,585,588,602,603,604,605,606,
608,609,612,613,615,641,644,645,647,649,650,651,655,657,659,660,662,664,665,
666,670,672,675,676,678,681,683,685,687,688,690,691,692,693,696,699,703,706,
708,710,713,715,717,720,722,723,724,725,727,731,739,741,742,745,747,751,753,
755,757,759,761,763,765,769,773,774,775,776,779,780,781,782,783,785,786,789,
790,791,793,794,795,796,798,799,800,806,807,808,809,811,812,814,815,816,817,
818,821,823,825,826,828,830,831,832,834,837,839,841,843,845,847,856,858,890,
893,896,900,901,903,904,907,919,922,925,927,940,944,946,948,951,958,959,962,
989,992,995,998,999,1008,1009,1022,1025,1028,1029,1030,1033,1034,1037,1039,
1044,1045,1048,1054,1055,1056,1058,1059,1061,1064,1069,1070,1075,1078,1080,
1084,1086,1089,1092,1094,1096,1098,1100,1102,1105,1107,1110,1112,1149,1151,
1156,1157,1160,1161,1164,1174,1175,1180,1181,1184,1188,1197,1199,1200,1203,
1204,1211,1213,1217,1222,1228,1231,1233,1236,1266,1271,1280,1284,1288,1293,
1296,1300,1301,1303,1306,1320,1321,1358,1362,1367,1379,1385,1397,1403,1412,
1417,1419,1421,1423,1427,1453,1461,1464,1491,1494,1496,1500,1506,1509,1511,
1535,1547,1571,1578,1584,1600,1645],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
19,20,22,23,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,
49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,73,77,79,80,81,
83,85,86,88,89,90,91,92,99,106,107,108,109,110,111,112,113,114,115,116,117,
118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,136,137,
138,140,141,142,143,144,145,146,147,148,149,150,151,153,154,155,156,157,158,
159,160,161,162,163,164,165,166,167,168,169,170,172,174,175,176,177,178,179,
180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,
199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,
219,220,236,252,254,261,267,271,272,273,274,275,276,278,279,280,281,283,287,
292,293,295,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,
326,327,328,329,330,331,332,334,335,336,337,338,340,341,342,343,344,345,346,
347,348,349,350,351,352,353,355,357,358,359,360,361,362,364,365,366,367,368,
369,370,373,374,375,376,377,378,379,380,381,382,383,384,386,387,388,389,390,
391,393,394,395,397,398,399,401,403,404,405,406,408,410,411,413,414,415,416,
417,418,419,420,421,422,423,424,426,427,428,429,430,432,434,435,436,437,438,
440,441,442,444,445,446,447,448,449,450,451,452,453,454,456,457,458,459,460,
461,462,463,464,465,466,468,469,470,471,472,473,474,475,476,477,479,482,483,
484,485,491,492,494,499,500,502,503,525,526,544,546,548,550,552,553,554,556,
560,561,562,563,564,567,569,581,587,598,599,600,611,612,614,617,642,643,646,
647,648,649,650,652,653,654,655,656,658,659,661,663,664,666,667,669,671,673,
675,677,679,682,683,684,685,686,688,689,690,691,692,693,696,697,698,699,700,
701,702,706,707,708,711,712,713,714,718,719,720,721,722,724,725,729,730,733,
734,735,736,737,738,739,742,746,747,748,749,751,752,753,754,755,757,758,760,
762,765,767,769,771,774,776,777,778,781,783,784,785,786,787,788,789,790,792,
795,796,797,798,800,801,802,803,804,805,810,813,864,871,885,889,894,898,902,
903,905,906,911,918,920,923,924,928,954,955,956,957,963,988,990,991,994,995,
998,999,1000,1001,1002,1004,1006,1007,1010,1011,1012,1013,1015,1018,1020,1023,
1025,1029,1031,1032,1033,1034,1037,1039,1040,1043,1045,1048,1049,1052,1057,
1066,1067,1071,1072,1073,1074,1082,1093,1103,1109,1113,1150,1152,1155,1158,
1159,1162,1163,1169,1171,1178,1179,1192,1200,1201,1202,1205,1207,1209,1216,
1223,1227,1232,1265,1269,1274,1280,1281,1286,1291,1307,1309,1317,1324,1357,
1359,1361,1368,1392,1393,1407,1414,1424,1445,1462,1463,1492,1493,1497,1498,
1503,1545,1564,1581,1599,1646],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,19,20,
22,23,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,
51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,73,77,79,80,82,84,85,
86,88,89,90,91,92,99,105,107,108,109,110,111,112,113,114,115,116,117,118,119,
120,121,122,123,124,125,126,127,128,129,130,131,132,133,135,136,137,138,139,
141,142,143,144,145,146,147,148,149,150,151,152,154,155,156,157,158,159,160,
161,162,163,164,165,166,167,168,169,170,171,173,175,176,177,178,179,180,181,
182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,
201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,218,219,221,
236,251,253,261,266,270,272,273,274,275,276,277,279,280,281,282,287,292,294,
295,309,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,
328,329,330,331,332,333,335,336,337,338,339,341,342,343,344,345,346,347,348,
349,350,351,352,354,356,357,358,359,360,361,362,363,365,366,367,368,369,371,
372,374,375,376,377,378,379,380,381,382,383,384,385,387,388,389,390,392,393,
394,396,397,398,400,401,402,404,405,407,409,410,411,412,414,415,416,417,418,
419,420,421,422,423,424,425,427,428,429,431,433,434,435,436,437,438,439,441,
442,444,445,446,447,448,449,450,451,452,453,455,456,457,458,459,460,461,462,
463,464,465,466,467,469,470,471,472,473,474,475,476,478,479,482,483,484,486,
491,492,493,499,500,501,503,525,527,543,545,547,549,551,553,554,555,560,561,
562,563,565,566,570,581,586,598,599,600,611,612,613,617,641,644,645,647,648,
649,650,651,653,654,655,656,657,660,662,663,664,665,667,668,670,672,674,676,
678,681,683,684,685,686,687,689,690,691,692,694,695,697,698,699,700,701,702,
705,707,708,711,712,713,714,717,719,720,721,723,724,726,729,730,733,734,735,
736,737,738,739,743,746,747,748,749,750,752,753,754,755,756,759,761,763,764,
766,768,770,775,776,777,778,782,783,784,785,786,787,788,789,791,792,794,796,
797,799,800,801,802,803,804,805,811,812,864,870,886,890,893,897,901,903,904,
907,910,919,921,922,925,927,954,955,956,958,963,988,989,992,993,996,997,999,
1000,1001,1002,1003,1005,1008,1009,1011,1012,1013,1016,1017,1019,1024,1026,
1030,1031,1032,1033,1035,1036,1038,1041,1042,1046,1047,1050,1051,1058,1065,
1068,1071,1072,1073,1074,1081,1093,1103,1110,1112,1149,1151,1156,1157,1160,
1161,1164,1170,1172,1177,1180,1193,1200,1201,1203,1206,1208,1209,1215,1224,
1228,1233,1266,1270,1273,1279,1282,1285,1291,1308,1310,1316,1325,1358,1360,
1362,1367,1391,1394,1406,1414,1425,1444,1461,1464,1491,1494,1496,1499,1502,
1544,1565,1580,1600,1647],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,21,22,23,
27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,
55,56,57,58,59,60,61,62,63,65,66,67,68,70,73,77,79,80,82,84,85,86,87,88,90,93,
96,100,105,106,108,109,111,112,113,114,115,116,117,118,119,120,123,124,126,
129,130,131,132,133,135,137,139,142,143,147,150,152,153,154,155,157,158,159,
160,161,162,165,166,167,168,169,170,172,174,176,178,179,181,183,184,185,186,
187,188,190,191,192,193,194,195,196,197,198,200,201,202,203,205,207,209,210,
211,212,213,215,218,219,221,235,249,255,256,257,259,260,263,264,270,272,273,
274,275,277,279,281,282,285,292,294,296,309,310,311,312,313,315,316,318,319,
320,322,325,326,327,328,329,330,331,332,333,334,336,337,338,339,340,341,343,
344,345,347,348,349,350,351,353,354,355,357,361,363,364,365,366,367,368,370,
372,375,377,379,381,382,384,385,386,388,389,390,391,392,394,395,397,398,400,
402,405,407,409,410,412,415,418,420,421,424,425,431,433,435,437,439,443,446,
448,450,453,455,456,461,463,465,467,471,472,474,476,480,484,488,489,492,494,
495,498,500,501,525,527,543,545,547,549,551,554,555,557,558,561,563,565,568,
571,572,575,577,579,582,590,592,595,597,612,613,641,642,644,645,647,649,652,
653,655,656,657,658,659,660,661,662,664,665,669,671,673,675,676,678,680,681,
683,685,687,692,699,701,704,706,709,711,716,717,718,720,723,724,728,732,733,
734,737,738,740,744,759,761,763,767,769,772,775,776,782,783,785,789,791,794,
796,799,800,811,812,863,867,888,891,901,903,904,907,908,913,914,919,922,925,
927,952,958,989,990,991,994,1008,1009,1014,1015,1018,1021,1023,1027,1030,1033,
1048,1052,1053,1058,1063,1066,1071,1076,1110,1112,1149,1151,1154,1156,1157,
1160,1161,1164,1165,1167,1180,1185,1187,1190,1191,1195,1200,1203,1228,1233,
1264,1266,1268,1269,1272,1276,1278,1315,1326,1362,1366,1367,1382,1384,1390,
1446,1461,1464,1490,1491,1494,1496,1505,1538,1567,1573,1600,1648],[1,2,3,4,5,
6,7,8,9,10,11,12,13,14,15,16,18,21,22,23,27,28,29,30,32,33,34,35,36,37,38,39,
40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,66,67,
69,70,73,77,79,80,81,83,85,86,87,88,89,94,96,100,105,106,107,110,111,112,113,
114,115,116,117,118,119,121,122,124,125,128,130,131,132,133,134,136,140,141,
144,148,151,152,153,154,155,156,158,159,160,161,163,164,166,167,168,169,170,
171,173,177,178,180,182,183,184,185,186,187,188,190,191,192,193,194,195,196,
197,198,199,201,202,204,206,208,209,210,211,212,213,216,217,219,220,235,249,
255,256,257,259,260,262,265,271,272,273,274,276,278,280,281,283,286,292,293,
296,309,310,311,312,314,315,317,318,319,320,321,324,326,327,328,329,330,331,
332,333,334,335,337,338,339,340,342,343,344,346,347,348,349,350,352,353,354,
356,358,362,363,364,365,366,367,369,371,373,374,378,380,381,382,383,385,386,
387,389,390,391,392,393,396,397,398,399,403,404,406,408,411,413,416,417,419,
422,423,426,430,432,434,438,440,443,447,449,451,452,454,457,462,464,466,468,
471,472,473,475,481,484,487,490,491,493,496,497,499,502,525,526,544,546,548,
550,552,553,556,557,559,560,562,564,568,571,572,576,578,580,583,591,593,594,
596,611,614,641,642,643,646,648,650,651,654,655,656,657,658,659,660,661,662,
663,666,668,670,672,674,677,679,680,682,684,686,688,691,700,702,703,705,710,
712,715,717,718,719,722,724,727,731,733,735,736,739,741,745,758,760,762,766,
768,773,774,777,781,784,786,788,790,795,797,798,801,810,813,862,867,887,892,
902,903,905,906,909,912,915,918,923,924,928,953,957,989,990,992,993,1007,1010,
1014,1016,1017,1022,1024,1028,1029,1032,1047,1051,1054,1057,1064,1065,1072,
1075,1109,1113,1150,1152,1153,1155,1158,1159,1162,1163,1166,1168,1179,1186,
1188,1189,1191,1194,1201,1202,1227,1232,1264,1265,1267,1270,1271,1275,1277,
1314,1327,1361,1365,1368,1381,1383,1389,1447,1462,1463,1489,1492,1493,1497,
1504,1539,1566,1572,1599,1649],[1,2,3,4,5,7,8,11,12,13,14,16,17,18,20,21,22,
23,29,31,34,37,39,49,51,53,55,60,61,65,66,68,69,71,73,74,77,79,81,83,86,88,89,
93,95,96,97,98,104,106,110,134,140,153,156,163,174,175,183,194,203,205,207,
218,221,224,226,228,232,235,236,238,255,257,258,264,267,269,271,272,279,283,
290,291,293,307,334,335,355,359,402,430,478,480,489,493,506,510,514,525,526,
532,544,548,550,552,553,556,564,573,575,589,592,601,605,607,610,614,616,634,
636,643,743,744,814,819,824,835,856,857,875,887,894,895,899,920,923,924,939,
945,950,960,961,978,1095,1109,1113,1132,1148,1152,1158,1162,1163,1210,1212,
1218,1219,1221,1253,1314,1317,1319,1322,1341,1355,1398,1416,1420,1422,1435,
1463,1465,1523,1527,1546,1591,1612,1650],[1,2,3,4,5,7,9,10,12,13,14,16,17,18,
20,21,22,23,30,32,33,37,38,50,52,54,55,59,61,64,66,68,69,71,73,74,77,79,82,84,
85,88,90,94,95,96,97,98,104,105,109,135,139,152,157,162,173,175,184,193,204,
206,208,217,220,223,227,228,232,235,236,238,256,257,258,265,266,268,270,272,
280,282,289,291,294,307,333,336,356,360,403,431,477,481,490,494,507,509,513,
525,527,532,543,547,549,551,554,555,565,574,576,588,593,602,605,606,609,613,
615,634,636,644,742,745,815,818,825,834,856,858,876,888,893,896,900,921,922,
925,940,946,951,959,962,978,1094,1110,1112,1131,1148,1151,1157,1161,1164,1211,
1213,1217,1220,1222,1254,1315,1316,1320,1321,1342,1355,1397,1417,1421,1423,
1436,1464,1466,1522,1526,1547,1590,1613,1651],[1,3,4,5,20,23,24,25,26,73,101,
103,236,242,243,244,245,246,247,248,539,541,542,620,621,622,639,640,964,965,
987,1124,1125,1126,1127,1128,1129,1329,1330,1351,1434,1483,1530,1531,1532,
1595,1596,1619,1652],[1,2,3,4,5,6,8,9,10,11,12,13,15,16,18,19,20,21,22,23,27,
28,29,30,32,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,54,56,57,58,
59,60,61,62,64,67,69,72,73,80,81,82,84,85,87,89,90,92,93,94,95,96,98,99,105,
107,111,112,113,114,115,116,117,118,119,121,124,128,130,131,132,133,134,140,
141,144,148,151,152,153,154,156,158,159,160,161,164,166,167,168,169,171,173,
180,182,183,184,185,186,187,188,190,191,192,193,194,195,196,197,198,201,206,
208,210,211,212,213,217,220,232,234,235,236,251,252,254,256,260,263,265,266,
267,268,270,271,273,275,277,278,280,281,282,284,285,286,289,290,295,298,300,
302,309,311,312,314,315,318,319,320,324,326,327,328,329,330,332,333,337,338,
339,340,342,344,346,348,350,352,354,356,362,363,364,366,367,371,373,374,380,
381,382,385,387,389,391,392,396,397,399,403,413,417,419,423,426,430,432,440,
447,451,452,454,457,464,466,468,481,487,490,496,497,502,523,527,532,543,545,
546,547,555,557,559,561,562,569,571,573,574,578,579,583,584,585,587,588,590,
593,595,599,603,606,619,625,626,641,650,651,655,657,659,660,662,666,670,672,
688,691,703,710,715,717,722,724,727,731,741,745,773,774,781,786,790,795,798,
858,861,863,870,885,888,889,890,891,893,896,904,905,907,912,914,916,919,921,
925,933,937,943,948,951,956,972,989,992,1022,1028,1029,1054,1064,1075,1111,
1112,1121,1149,1153,1156,1165,1167,1171,1174,1175,1176,1177,1184,1193,1217,
1220,1225,1241,1271,1313,1315,1316,1321,1358,1362,1363,1366,1369,1376,1379,
1388,1391,1395,1459,1461,1466,1500,1512,1535,1538,1540,1544,1585,1601,1620,
1624,1653],[1,2,3,4,5,6,8,9,10,11,12,13,15,16,18,19,20,21,22,23,27,28,29,30,
31,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,56,57,58,59,60,61,
62,65,67,68,72,73,80,81,82,83,86,87,89,90,92,93,94,95,96,98,99,106,108,111,
112,113,114,115,116,117,118,119,120,124,129,130,131,132,133,135,139,142,143,
147,150,152,153,155,157,158,159,160,161,165,166,167,168,169,172,174,179,181,
183,184,185,186,187,188,190,191,192,193,194,195,196,197,198,201,205,207,210,
211,212,213,218,221,232,234,235,236,251,252,253,255,259,262,264,266,267,269,
270,271,274,276,277,278,279,281,283,284,285,286,289,290,295,298,300,302,310,
311,312,313,315,318,319,320,325,326,327,328,329,330,331,334,337,338,339,340,
341,343,345,347,349,351,353,355,361,363,364,366,367,370,372,375,379,381,382,
386,388,390,391,392,395,397,400,402,412,418,420,424,425,431,433,439,446,450,
453,455,456,463,465,467,480,488,489,495,498,501,523,526,532,544,545,546,548,
556,557,558,560,563,570,572,573,574,577,580,582,584,585,586,589,591,592,594,
600,604,607,619,625,626,642,649,652,656,658,659,660,661,665,671,673,687,692,
704,709,716,718,723,724,728,732,740,744,772,775,782,785,791,794,799,857,861,
862,871,886,887,889,890,892,894,895,904,905,906,913,915,917,918,920,924,932,
936,944,947,950,955,972,990,991,1021,1027,1030,1053,1063,1076,1111,1113,1120,
1150,1154,1155,1166,1168,1172,1173,1175,1176,1178,1183,1192,1218,1219,1226,
1240,1272,1312,1314,1317,1322,1357,1361,1364,1365,1370,1375,1380,1387,1392,
1396,1460,1462,1465,1501,1513,1534,1539,1541,1545,1586,1602,1621,1625,1654],[
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,22,23,27,28,29,30,33,34,35,
36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,62,63,
66,67,70,72,73,80,81,82,83,86,87,88,89,91,92,94,95,96,97,100,106,109,110,111,
112,113,114,115,116,117,118,119,122,123,124,125,126,127,130,131,132,133,138,
145,146,149,150,153,155,158,159,161,162,163,167,168,170,175,176,177,178,179,
180,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,
201,202,203,204,209,210,211,212,213,214,215,216,219,230,234,235,251,253,254,
255,259,261,262,266,270,271,274,276,277,278,281,283,284,286,287,288,291,296,
297,299,302,310,311,312,315,316,317,318,319,320,321,322,323,326,327,328,329,
330,331,332,334,337,340,343,347,349,351,353,357,358,359,360,364,365,367,368,
369,376,377,381,383,384,386,390,391,393,394,397,401,404,405,414,427,428,429,
436,441,442,445,458,459,460,469,470,473,475,477,479,482,483,485,491,503,523,
526,530,544,545,546,548,551,556,557,558,560,566,567,570,572,574,580,581,585,
586,591,594,597,602,608,618,625,627,642,647,653,654,656,658,659,661,667,669,
675,689,690,693,696,697,708,713,718,721,724,730,735,746,748,765,771,778,787,
792,802,855,861,862,869,885,886,887,890,892,897,898,904,905,906,910,915,917,
918,919,924,930,935,940,942,949,952,971,990,994,1020,1025,1031,1045,1049,1067,
1073,1111,1113,1123,1150,1154,1155,1166,1168,1169,1170,1172,1175,1180,1181,
1195,1215,1216,1224,1237,1274,1312,1313,1314,1318,1359,1361,1364,1365,1371,
1373,1377,1385,1390,1394,1460,1462,1467,1503,1515,1536,1539,1541,1542,1586,
1604,1621,1623,1655],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,22,
23,27,28,29,30,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,55,
56,57,58,59,60,61,62,63,66,67,70,72,73,80,81,82,84,85,87,88,90,91,92,93,95,96,
97,100,105,109,110,111,112,113,114,115,116,117,118,119,122,123,124,125,126,
127,130,131,132,133,138,145,146,149,151,152,154,158,159,160,162,163,166,169,
170,175,176,177,178,179,180,183,184,185,186,187,188,189,190,191,192,193,194,
195,196,197,198,199,200,201,202,203,204,209,210,211,212,213,214,215,216,219,
230,234,235,252,253,254,256,260,261,263,267,270,271,273,275,277,278,281,282,
284,285,287,288,291,296,297,299,302,309,311,312,315,316,317,318,319,320,321,
322,323,326,327,328,329,330,331,332,333,338,339,344,348,350,352,354,357,358,
359,360,363,365,366,368,369,376,378,382,383,384,385,389,392,393,394,397,401,
404,405,414,427,428,429,436,441,442,445,458,459,460,469,470,474,476,478,479,
482,483,486,492,503,523,527,530,543,545,546,547,552,555,557,559,561,566,567,
569,571,573,579,581,584,587,590,595,596,601,608,618,625,627,641,648,653,654,
655,657,660,662,667,668,674,689,690,694,695,698,707,714,717,721,724,729,734,
747,748,764,770,778,787,792,802,855,861,863,869,885,886,888,889,891,897,898,
904,905,907,911,914,916,918,919,925,929,934,939,941,949,953,971,989,993,1019,
1026,1031,1046,1050,1068,1074,1111,1112,1123,1149,1153,1156,1165,1167,1169,
1170,1171,1176,1179,1182,1194,1215,1216,1223,1238,1273,1312,1313,1315,1318,
1360,1362,1363,1366,1372,1374,1378,1386,1389,1393,1459,1461,1467,1502,1514,
1537,1538,1540,1543,1585,1603,1620,1622,1656],[1,2,3,4,5,6,8,9,10,11,12,13,14,
15,16,18,19,20,21,22,23,27,28,29,30,33,34,35,36,38,39,40,41,42,43,45,46,47,48,
49,50,51,52,56,57,58,59,60,61,62,65,66,67,72,73,80,81,82,84,85,87,90,92,93,95,
96,100,105,111,112,113,114,115,116,117,118,119,124,126,129,130,131,132,133,
152,154,157,159,160,162,166,169,170,172,174,183,184,185,186,187,188,190,191,
192,193,194,195,196,197,198,201,210,211,212,213,234,235,252,254,256,260,263,
267,270,271,273,275,277,278,281,282,284,285,302,309,311,312,315,318,319,320,
326,327,328,329,330,332,333,338,339,344,348,350,354,363,366,379,382,384,385,
389,392,395,397,472,476,480,488,494,498,523,527,543,545,546,547,555,557,559,
561,569,571,573,579,584,587,590,595,597,625,641,655,657,660,662,669,671,704,
706,709,711,717,724,861,863,885,888,889,891,904,905,907,914,916,919,925,970,
989,1023,1027,1111,1112,1149,1153,1156,1165,1167,1171,1176,1195,1268,1313,
1315,1362,1363,1366,1459,1461,1505,1538,1540,1585,1620,1657],[1,2,3,4,5,6,8,9,
10,11,12,13,14,15,16,18,19,20,21,22,23,27,28,29,30,33,34,35,36,38,39,40,41,42,
43,45,46,47,48,49,50,51,52,56,57,58,59,60,61,62,64,66,67,72,73,80,81,82,83,86,
87,89,92,94,95,96,100,106,111,112,113,114,115,116,117,118,119,124,125,128,130,
131,132,133,153,155,156,158,161,163,167,168,170,171,173,183,184,185,186,187,
188,190,191,192,193,194,195,196,197,198,201,210,211,212,213,234,235,251,253,
255,259,262,266,270,271,274,276,277,278,281,283,284,286,302,310,311,312,315,
318,319,320,326,327,328,329,330,331,334,337,340,343,347,349,353,364,367,380,
381,383,386,390,391,396,397,471,475,481,487,493,497,523,526,544,545,546,548,
556,557,558,560,570,572,574,580,585,586,591,594,596,625,642,656,658,659,661,
668,670,703,705,710,712,718,724,861,862,886,887,890,892,904,905,906,915,917,
918,924,970,990,1024,1028,1111,1113,1150,1154,1155,1166,1168,1172,1175,1194,
1267,1312,1314,1361,1364,1365,1460,1462,1504,1539,1541,1586,1621,1658],[1,2,3,
4,6,8,9,12,13,15,17,19,20,22,29,35,36,46,47,58,72,74,75,76,80,81,82,87,92,95,
104,111,158,187,231,234,237,239,240,241,253,271,281,284,301,306,307,308,331,
523,529,531,535,545,546,557,623,624,631,632,633,635,638,861,865,886,918,967,
968,977,979,981,984,1111,1147,1244,1250,1312,1331,1356,1473,1486,1627,1659],[
1,2,3,4,6,8,9,12,13,15,17,19,20,22,30,35,36,46,48,57,72,74,75,76,80,81,82,87,
92,95,104,111,159,188,231,234,237,239,240,241,254,270,281,284,301,306,307,308,
332,523,529,531,535,545,546,557,623,624,631,632,633,635,638,861,865,885,919,
967,968,976,979,980,984,1111,1147,1244,1250,1313,1331,1356,1473,1486,1627,
1660],[1,2,3,4,6,7,8,9,12,13,14,15,17,19,20,22,35,36,37,44,47,48,55,63,66,72,
74,75,76,80,81,82,87,88,91,92,95,97,100,104,111,170,178,202,209,230,231,233,
234,237,238,239,240,241,253,254,261,281,284,287,288,291,296,297,299,301,306,
307,308,365,521,523,530,531,533,535,536,537,545,546,557,581,608,618,623,624,
631,632,633,635,636,637,638,855,860,861,869,877,897,898,949,966,967,968,975,
976,977,979,984,985,1111,1123,1147,1245,1250,1257,1260,1261,1318,1331,1353,
1354,1356,1439,1473,1486,1488,1551,1561,1627,1661],[1,2,4,5,6,7,14,17,18,19,
22,24,44,72,73,74,77,78,79,80,87,88,91,97,100,104,233,234,235,238,243,244,248,
249,250,261,288,296,302,307,520,523,524,525,533,534,625,631,634,637,640,867,
868,869,873,969,970,975,1138,1147,1148,1246,1353,1441,1533,1662],[1,2,3,5,6,7,
8,9,10,11,12,13,14,15,16,17,18,21,23,27,28,29,30,31,32,33,34,35,36,37,38,39,
40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,
67,68,69,70,71,74,75,76,79,84,85,89,90,93,94,96,98,99,105,107,108,109,111,112,
113,114,115,116,117,118,119,120,121,123,124,126,128,129,130,131,132,133,134,
135,137,139,140,141,142,143,144,147,148,149,150,151,152,153,154,156,157,158,
159,160,161,162,164,165,166,167,168,169,170,171,173,175,176,177,178,179,180,
181,182,183,184,185,186,187,188,190,191,192,193,194,195,196,197,198,200,201,
202,204,205,206,207,208,210,211,212,213,215,217,218,219,220,221,222,223,224,
225,226,227,228,237,238,239,240,241,256,258,260,263,265,268,273,275,280,282,
285,286,289,290,295,298,300,309,311,312,313,314,315,316,318,319,320,324,325,
326,327,328,329,330,332,333,336,337,338,339,340,341,342,344,345,346,348,350,
351,352,354,356,358,360,361,362,363,364,366,367,371,372,373,374,375,377,379,
380,381,382,384,385,387,388,389,391,392,394,396,397,398,399,400,402,403,405,
407,409,410,412,413,415,417,418,419,420,421,423,424,425,426,427,428,430,431,
432,433,435,437,439,440,446,447,448,450,451,452,453,454,455,456,457,458,461,
463,464,465,466,467,468,471,473,477,479,481,482,485,487,490,491,492,494,496,
497,500,501,502,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,
535,536,537,547,549,555,561,562,565,571,578,579,583,588,590,593,595,599,603,
606,619,634,641,644,645,647,649,650,651,655,657,659,660,662,664,665,666,670,
672,675,676,678,681,683,685,687,688,690,691,692,693,696,699,703,706,708,710,
713,715,717,720,722,723,724,725,727,731,739,741,742,745,747,751,753,755,757,
759,761,763,765,769,773,774,775,776,779,780,781,782,783,785,786,789,790,791,
793,794,795,796,798,799,800,806,807,808,809,811,812,814,815,816,817,818,821,
823,825,826,828,830,831,832,834,837,839,841,843,845,847,876,877,888,891,896,
900,907,912,914,921,922,927,933,937,943,948,951,956,958,959,978,989,992,995,
998,999,1008,1009,1022,1025,1028,1029,1030,1033,1034,1037,1039,1044,1045,1048,
1054,1055,1056,1058,1059,1061,1064,1069,1070,1075,1078,1080,1084,1086,1089,
1092,1094,1096,1098,1100,1102,1105,1107,1131,1133,1135,1151,1156,1161,1165,
1167,1174,1177,1184,1193,1213,1220,1222,1225,1231,1233,1236,1241,1266,1271,
1280,1284,1288,1293,1296,1300,1301,1303,1306,1334,1336,1338,1340,1342,1366,
1367,1369,1376,1379,1388,1391,1395,1397,1423,1427,1453,1474,1476,1478,1496,
1509,1511,1512,1522,1554,1584,1588,1590,1631,1632,1634,1663],[1,2,3,5,6,7,8,9,
10,11,12,13,14,15,16,17,18,21,23,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,
42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,
69,70,71,74,75,76,79,83,86,89,90,93,94,96,98,99,106,107,108,110,111,112,113,
114,115,116,117,118,119,120,121,122,124,125,128,129,130,131,132,133,134,135,
136,139,140,141,142,143,144,147,148,149,150,151,152,153,155,156,157,158,159,
160,161,163,164,165,166,167,168,169,170,172,174,175,176,177,178,179,180,181,
182,183,184,185,186,187,188,190,191,192,193,194,195,196,197,198,199,201,202,
203,205,206,207,208,210,211,212,213,216,217,218,219,220,221,222,223,224,225,
226,227,228,237,238,239,240,241,255,258,259,262,264,269,274,276,279,283,285,
286,289,290,295,298,300,310,311,312,313,314,315,317,318,319,320,324,325,326,
327,328,329,330,331,334,335,337,338,339,340,341,342,343,345,346,347,349,351,
352,353,355,357,359,361,362,363,364,366,367,370,372,373,374,375,378,379,380,
381,382,383,386,387,388,390,391,392,393,395,397,398,399,400,402,403,404,406,
408,411,412,413,416,417,418,419,420,422,423,424,425,426,427,429,430,431,432,
433,434,438,439,440,446,447,449,450,451,452,453,454,455,456,457,459,462,463,
464,465,466,467,468,472,474,478,479,480,483,486,488,489,491,492,493,495,498,
499,501,502,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,535,
536,537,548,550,556,560,563,564,572,577,580,582,589,591,592,594,600,604,607,
619,634,642,643,646,648,649,650,652,656,658,659,660,661,663,665,666,671,673,
674,677,679,682,684,686,687,688,689,691,692,694,695,700,704,705,707,709,714,
716,718,719,722,723,724,726,728,732,738,740,743,744,746,750,752,755,756,758,
760,762,764,768,772,774,775,777,779,780,781,782,784,785,786,788,790,791,793,
794,795,797,798,799,801,806,807,808,809,810,813,814,815,816,817,819,820,822,
824,827,829,830,831,833,835,837,838,840,842,844,847,875,877,887,892,895,899,
906,913,915,920,923,928,932,936,944,947,950,955,957,960,978,990,991,996,997,
1000,1007,1010,1021,1026,1027,1029,1030,1032,1035,1036,1038,1044,1046,1047,
1053,1055,1056,1057,1060,1062,1063,1069,1070,1076,1077,1079,1083,1085,1090,
1091,1095,1097,1098,1099,1101,1104,1106,1132,1134,1136,1152,1155,1162,1166,
1168,1173,1178,1183,1192,1212,1219,1221,1226,1230,1232,1235,1240,1265,1272,
1279,1283,1287,1294,1296,1299,1302,1304,1305,1333,1335,1337,1339,1341,1365,
1368,1370,1375,1380,1387,1392,1396,1398,1422,1428,1454,1475,1477,1479,1497,
1508,1510,1513,1523,1553,1583,1589,1591,1630,1633,1635,1664],[1,2,3,4,6,7,8,9,
10,11,12,13,14,15,16,17,19,20,22,27,28,29,30,33,34,35,36,37,38,39,40,41,42,43,
44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,62,63,66,67,70,71,74,75,76,80,
81,82,87,88,91,92,95,97,100,105,106,109,110,111,112,113,114,115,116,117,118,
119,122,123,124,125,126,127,130,131,132,133,138,145,146,149,150,151,152,153,
154,155,158,159,160,161,162,163,166,167,168,169,170,175,176,177,178,179,180,
183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,
202,203,204,209,210,211,212,213,214,215,216,219,222,223,224,237,238,239,240,
241,251,253,254,261,266,270,271,277,278,281,284,287,288,291,296,297,299,309,
310,311,312,315,316,317,318,319,320,321,322,323,326,327,328,329,330,331,332,
333,334,337,338,339,340,343,344,347,348,349,350,351,352,353,354,357,358,359,
360,363,364,365,366,367,368,369,376,377,378,381,382,383,384,385,386,389,390,
391,392,393,394,397,401,404,405,414,427,428,429,436,441,442,443,445,458,459,
460,469,470,473,474,475,476,477,478,479,482,483,485,486,491,492,503,504,505,
506,507,508,517,535,536,537,545,546,551,557,558,559,566,567,570,574,581,585,
586,597,601,602,608,618,631,633,641,642,647,648,653,654,655,656,657,658,659,
660,661,662,667,668,669,674,675,680,689,690,693,694,695,696,697,698,707,708,
713,714,717,718,721,724,729,730,734,735,746,747,748,764,765,770,771,778,779,
780,787,792,793,802,818,819,820,821,822,823,826,827,848,849,875,877,886,890,
897,898,904,905,910,917,919,926,930,935,940,941,942,949,952,975,976,979,981,
983,989,990,993,994,1014,1019,1020,1025,1026,1031,1044,1045,1046,1049,1050,
1067,1068,1073,1074,1077,1078,1079,1080,1088,1132,1134,1136,1153,1154,1169,
1170,1172,1175,1180,1181,1182,1195,1214,1215,1224,1229,1234,1237,1250,1252,
1255,1257,1258,1260,1264,1273,1274,1287,1288,1292,1297,1333,1335,1337,1339,
1341,1364,1371,1373,1377,1378,1385,1390,1394,1426,1437,1439,1455,1475,1477,
1479,1495,1515,1553,1582,1628,1665],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,
19,20,22,27,28,29,30,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,
52,55,56,57,58,59,60,61,62,63,66,67,70,71,74,75,76,80,81,82,87,88,91,92,95,97,
100,105,106,109,110,111,112,113,114,115,116,117,118,119,122,123,124,125,126,
127,130,131,132,133,138,145,146,149,150,151,152,153,154,155,158,159,160,161,
162,163,166,167,168,169,170,175,176,177,178,179,180,183,184,185,186,187,188,
189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,209,210,211,
212,213,214,215,216,219,222,223,224,237,238,239,240,241,252,253,254,261,267,
270,271,277,278,281,284,287,288,291,296,297,299,309,310,311,312,315,316,317,
318,319,320,321,322,323,326,327,328,329,330,331,332,333,334,337,338,339,340,
343,344,347,348,349,350,351,352,353,354,357,358,359,360,363,364,365,366,367,
368,369,376,377,378,381,382,383,384,385,386,389,390,391,392,393,394,397,401,
404,405,414,427,428,429,436,441,442,443,445,458,459,460,469,470,473,474,475,
476,477,478,479,482,483,485,486,491,492,503,504,505,506,507,508,517,535,536,
537,545,546,552,557,558,559,566,567,569,573,581,584,587,596,601,602,608,618,
631,632,641,642,647,648,653,654,655,656,657,658,659,660,661,662,667,668,669,
674,675,680,689,690,693,694,695,696,697,698,707,708,713,714,717,718,721,724,
729,730,734,735,746,747,748,764,765,770,771,778,779,780,787,792,793,802,818,
819,820,821,822,823,826,827,848,849,876,877,885,889,897,898,904,905,911,916,
918,926,929,934,939,941,942,949,953,975,977,979,980,982,989,990,993,994,1014,
1019,1020,1025,1026,1031,1044,1045,1046,1049,1050,1067,1068,1073,1074,1077,
1078,1079,1080,1088,1131,1133,1135,1153,1154,1169,1170,1171,1176,1179,1181,
1182,1194,1214,1216,1223,1229,1234,1238,1250,1251,1256,1257,1259,1260,1264,
1273,1274,1287,1288,1292,1297,1334,1336,1338,1340,1342,1363,1372,1374,1377,
1378,1386,1389,1393,1426,1438,1439,1455,1474,1476,1478,1495,1514,1554,1582,
1629,1666],[1,2,3,4,8,11,12,16,17,19,20,22,29,34,51,60,74,75,76,81,92,104,106,
153,183,229,240,271,306,307,308,334,519,544,633,638,850,875,924,981,1132,1253,
1435,1640,1667],[1,2,3,4,9,10,12,16,17,19,20,22,30,33,52,59,74,75,76,82,92,
104,105,152,184,229,240,270,306,307,308,333,519,543,632,638,850,876,925,980,
1131,1254,1436,1639,1668],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,
22,23,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,
51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,77,79,80,82,
84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,105,106,107,108,109,110,
111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,
130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,
149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,
168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,
187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,
206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,
225,226,227,228,232,235,236,249,251,253,255,256,257,258,259,260,261,262,263,
264,265,266,268,270,272,273,274,275,276,277,279,280,281,282,284,285,286,287,
288,289,290,291,292,294,295,296,297,298,299,300,309,310,311,312,313,314,315,
316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,
335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,
354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,
373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,
392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,
411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,
430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,
449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,
468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,
487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,
506,507,508,509,510,511,512,513,514,515,516,517,518,525,527,532,543,545,547,
549,551,553,554,555,557,558,560,561,562,563,565,566,568,570,571,572,574,575,
576,577,578,579,580,581,582,583,585,586,588,590,591,592,593,594,595,597,598,
599,600,602,603,604,605,606,608,609,611,612,613,615,617,618,619,641,642,643,
644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,
663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,
682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,
701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,
720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,
739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,
758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,
777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,
796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,
815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,
834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,856,858,863,
864,867,870,886,888,890,891,893,896,897,900,901,903,904,907,908,909,910,912,
913,914,915,917,919,921,922,925,927,930,931,932,933,935,936,937,938,940,942,
943,944,945,946,947,948,949,951,952,954,955,956,958,959,962,963,988,989,990,
991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,
1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,
1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,
1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,
1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,
1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,
1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,
1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1110,1112,1121,1122,1149,
1151,1154,1156,1157,1160,1161,1164,1165,1167,1170,1172,1174,1175,1177,1180,
1181,1184,1185,1187,1188,1190,1191,1193,1195,1197,1199,1200,1201,1203,1204,
1206,1208,1209,1211,1213,1215,1217,1220,1222,1224,1225,1228,1231,1233,1236,
1237,1239,1240,1241,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,
1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,
1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,
1305,1306,1307,1308,1309,1310,1315,1316,1320,1321,1325,1326,1358,1360,1362,
1364,1366,1367,1369,1371,1373,1376,1377,1379,1382,1383,1384,1385,1388,1390,
1391,1394,1395,1397,1400,1401,1403,1404,1405,1406,1409,1410,1412,1414,1415,
1417,1419,1421,1423,1425,1427,1444,1445,1446,1447,1448,1449,1450,1451,1452,
1453,1454,1455,1456,1457,1458,1461,1464,1466,1468,1490,1491,1494,1496,1499,
1500,1502,1505,1506,1509,1511,1512,1515,1516,1518,1529,1535,1538,1544,1547,
1563,1565,1567,1569,1571,1573,1574,1577,1578,1580,1584,1600,1601,1616,1618,
1645,1647,1648,1669],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,22,
23,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,
52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,77,79,80,81,83,
85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,105,106,107,108,109,110,111,
112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,
131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,
150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,
169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,
188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,
207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,
226,227,228,232,235,236,249,252,254,255,256,257,258,259,260,261,262,263,264,
265,267,269,271,272,273,274,275,276,278,279,280,281,283,284,285,286,287,288,
289,290,291,292,293,295,296,297,298,299,300,309,310,311,312,313,314,315,316,
317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,
336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,
355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,
374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,
393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,
412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,
431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,
450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,
469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,
488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,
507,508,509,510,511,512,513,514,515,516,517,518,525,526,532,544,546,548,550,
552,553,554,556,557,559,560,561,562,563,564,567,568,569,571,572,573,575,576,
577,578,579,580,581,582,583,584,587,589,590,591,592,593,594,595,596,598,599,
600,601,603,604,605,607,608,610,611,612,614,616,617,618,619,641,642,643,644,
645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,
664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,
683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,
702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,
721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,
740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,
759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,
778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,
797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,
816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,
835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,856,857,862,864,
867,871,885,887,889,892,894,895,898,899,902,903,905,906,908,909,911,912,913,
914,915,916,918,920,923,924,928,929,931,932,933,934,936,937,938,939,941,943,
944,945,946,947,948,949,950,953,954,955,956,957,960,961,963,988,989,990,991,
992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,
1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,
1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,
1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,
1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,
1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,
1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,
1099,1100,1101,1102,1103,1104,1105,1106,1107,1109,1113,1120,1122,1150,1152,
1153,1155,1158,1159,1162,1163,1166,1168,1169,1171,1173,1176,1178,1179,1182,
1183,1186,1187,1188,1189,1191,1192,1194,1196,1198,1200,1201,1202,1204,1205,
1207,1209,1210,1212,1216,1218,1219,1221,1223,1226,1227,1230,1232,1235,1238,
1239,1240,1241,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,1275,
1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,
1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,
1306,1307,1308,1309,1310,1314,1317,1319,1322,1324,1327,1357,1359,1361,1363,
1365,1368,1370,1372,1374,1375,1378,1380,1381,1383,1384,1386,1387,1389,1392,
1393,1396,1398,1399,1402,1403,1404,1405,1407,1408,1411,1413,1414,1415,1416,
1418,1420,1422,1424,1428,1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,
1454,1455,1456,1457,1458,1462,1463,1465,1469,1489,1492,1493,1497,1498,1501,
1503,1504,1507,1508,1510,1513,1514,1517,1518,1529,1534,1539,1545,1546,1562,
1564,1566,1568,1570,1572,1575,1576,1579,1581,1583,1599,1602,1615,1617,1644,
1646,1649,1670],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,19,20,22,27,28,29,30,31,
32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,
58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,80,81,82,87,88,91,92,95,97,100,
105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,
124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,
143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,
162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,
181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,
200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,
219,220,221,222,223,224,225,226,227,228,230,234,251,252,253,254,261,266,267,
270,271,277,278,281,284,287,288,291,296,297,299,309,310,311,312,313,314,315,
316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,
335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,
354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,
373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,
392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,
411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,
430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,
449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,
468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,
487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,
506,507,508,509,510,511,512,513,514,515,516,517,518,523,530,543,544,545,546,
551,552,557,558,559,566,567,569,570,573,574,581,584,585,586,587,596,597,601,
602,608,618,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,
657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,
676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,
695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,
714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,
733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,
752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,
771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,
790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,
809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,
828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,
847,848,849,855,861,869,885,886,889,890,893,894,897,898,904,905,910,911,916,
917,918,919,924,925,926,929,930,934,935,939,940,941,942,949,952,953,988,989,
990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,
1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,
1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,
1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,
1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,
1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,
1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,
1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1111,1123,1149,1150,
1153,1154,1163,1164,1169,1170,1171,1172,1175,1176,1179,1180,1181,1182,1194,
1195,1210,1211,1214,1215,1216,1217,1218,1223,1224,1229,1234,1237,1238,1264,
1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,
1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,
1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,1308,1309,
1310,1312,1313,1318,1357,1358,1359,1360,1361,1362,1363,1364,1371,1372,1373,
1374,1377,1378,1385,1386,1389,1390,1393,1394,1420,1421,1426,1444,1445,1446,
1447,1448,1449,1450,1451,1452,1453,1454,1455,1456,1457,1458,1459,1460,1467,
1489,1490,1491,1492,1495,1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,
1514,1515,1529,1536,1537,1540,1541,1542,1543,1562,1563,1564,1565,1568,1569,
1570,1571,1572,1573,1574,1575,1576,1577,1582,1598,1603,1604,1615,1616,1641,
1642,1643,1671],[1,2,3,4,6,8,9,10,11,12,13,15,16,17,19,20,22,27,28,29,30,33,
34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,56,57,58,59,60,61,62,67,72,
74,75,76,80,81,82,87,92,95,104,105,106,111,112,113,114,115,116,117,118,119,
124,130,131,132,133,152,153,154,155,158,159,160,161,166,167,168,169,183,184,
185,186,187,188,190,191,192,193,194,195,196,197,198,201,210,211,212,213,234,
237,240,241,251,253,266,270,271,277,278,281,284,307,309,310,311,312,315,318,
319,320,326,327,328,329,330,331,332,333,334,337,338,339,340,343,344,347,348,
349,350,353,354,363,364,366,367,381,382,385,386,389,390,391,392,397,443,523,
535,543,544,545,546,557,558,559,570,574,585,586,631,633,635,641,642,655,656,
657,658,659,660,661,662,680,717,718,724,861,875,886,890,904,905,917,918,919,
924,925,926,979,981,983,984,989,990,1014,1111,1132,1134,1136,1147,1149,1150,
1153,1154,1172,1175,1214,1250,1252,1253,1264,1312,1333,1335,1337,1361,1362,
1364,1435,1459,1460,1475,1486,1489,1490,1495,1525,1541,1592,1598,1628,1672],[
1,2,3,4,6,8,9,10,11,12,13,15,16,17,19,20,22,27,28,29,30,33,34,35,36,38,39,40,
41,42,43,45,46,47,48,49,50,51,52,56,57,58,59,60,61,62,67,72,74,75,76,80,81,82,
87,92,95,104,105,106,111,112,113,114,115,116,117,118,119,124,130,131,132,133,
152,153,154,155,158,159,160,161,166,167,168,169,183,184,185,186,187,188,190,
191,192,193,194,195,196,197,198,201,210,211,212,213,234,237,240,241,252,254,
267,270,271,277,278,281,284,307,309,310,311,312,315,318,319,320,326,327,328,
329,330,331,332,333,334,337,338,339,340,343,344,347,348,349,350,353,354,363,
364,366,367,381,382,385,386,389,390,391,392,397,443,523,535,543,544,545,546,
557,558,559,569,573,584,587,631,632,635,641,642,655,656,657,658,659,660,661,
662,680,717,718,724,861,876,885,889,904,905,916,918,919,924,925,926,979,980,
982,984,989,990,1014,1111,1131,1133,1135,1147,1149,1150,1153,1154,1171,1176,
1214,1250,1251,1254,1264,1313,1334,1336,1338,1361,1362,1363,1436,1459,1460,
1474,1486,1489,1490,1495,1524,1540,1593,1598,1629,1673],[1,2,3,4,5,6,7,8,9,10,
11,12,13,15,16,17,18,21,22,23,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,
45,46,47,48,49,50,51,52,54,56,57,58,59,60,61,62,63,64,67,69,70,73,74,75,76,77,
79,80,81,83,85,86,88,89,94,96,104,106,107,110,111,112,113,114,115,116,117,118,
119,121,122,124,128,130,131,132,133,134,136,140,141,144,148,151,153,155,156,
158,161,164,167,168,180,182,183,184,185,186,187,188,190,191,192,193,194,195,
196,197,198,199,201,202,206,208,210,211,212,213,216,217,219,220,235,237,240,
241,255,259,262,271,272,273,274,276,278,280,281,283,286,292,293,307,310,311,
312,314,315,317,318,319,320,324,326,327,328,329,330,331,334,335,337,340,342,
343,346,347,349,352,353,362,364,367,373,374,378,380,381,386,387,390,391,397,
398,399,403,404,406,408,411,413,416,417,419,422,423,426,430,432,434,438,440,
447,449,451,452,454,457,462,464,466,468,499,502,525,526,535,544,546,548,550,
552,553,556,560,562,564,572,580,591,594,611,614,634,635,642,643,646,648,650,
656,658,659,661,663,666,677,679,682,684,686,688,691,718,719,722,724,758,760,
762,774,777,781,784,786,788,790,795,797,798,801,810,813,862,875,887,892,902,
903,905,906,915,918,923,924,928,957,984,990,1007,1010,1029,1032,1057,1109,
1113,1132,1134,1136,1148,1150,1152,1155,1158,1159,1162,1163,1166,1168,1179,
1201,1202,1227,1232,1253,1265,1314,1333,1335,1337,1361,1365,1368,1435,1462,
1463,1475,1492,1493,1497,1523,1525,1539,1589,1592,1599,1612,1630,1674],[1,2,3,
4,5,6,7,8,9,10,11,12,13,15,16,17,18,21,22,23,27,28,29,30,31,33,34,35,36,37,38,
39,40,41,42,43,45,46,47,48,49,50,51,52,53,56,57,58,59,60,61,62,63,65,67,68,70,
73,74,75,76,77,79,80,82,84,85,86,88,90,93,96,104,105,108,109,111,112,113,114,
115,116,117,118,119,120,123,124,129,130,131,132,133,135,137,139,142,143,147,
150,152,154,157,159,160,165,166,169,179,181,183,184,185,186,187,188,190,191,
192,193,194,195,196,197,198,200,201,202,205,207,210,211,212,213,215,218,219,
221,235,237,240,241,256,260,263,270,272,273,274,275,277,279,281,282,285,292,
294,307,309,311,312,313,315,316,318,319,320,325,326,327,328,329,330,332,333,
336,338,339,341,344,345,348,350,351,354,361,363,366,372,375,377,379,382,385,
388,389,392,397,398,400,402,405,407,409,410,412,415,418,420,421,424,425,431,
433,435,437,439,446,448,450,453,455,456,461,463,465,467,500,501,525,527,535,
543,545,547,549,551,554,555,561,563,565,571,579,590,595,612,613,634,635,641,
644,645,647,649,655,657,660,662,664,665,676,678,681,683,685,687,692,717,720,
723,724,759,761,763,775,776,782,783,785,789,791,794,796,799,800,811,812,863,
876,888,891,901,903,904,907,914,919,922,925,927,958,984,989,1008,1009,1030,
1033,1058,1110,1112,1131,1133,1135,1148,1149,1151,1156,1157,1160,1161,1164,
1165,1167,1180,1200,1203,1228,1233,1254,1266,1315,1334,1336,1338,1362,1366,
1367,1436,1461,1464,1474,1491,1494,1496,1522,1524,1538,1588,1593,1600,1613,
1631,1675],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,22,23,27,28,29,
30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,
58,59,60,61,62,63,64,65,66,67,68,70,72,73,80,81,82,83,86,87,88,89,90,91,92,93,
94,95,96,97,98,99,100,106,108,109,110,111,112,113,114,115,116,117,118,119,120,
122,123,124,125,126,127,128,129,130,131,132,133,135,138,139,142,143,145,146,
147,148,149,150,152,153,155,156,157,158,159,160,161,162,163,165,166,167,168,
169,170,171,172,173,174,175,176,177,178,179,180,181,183,184,185,186,187,188,
189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,207,209,
210,211,212,213,214,215,216,218,219,221,230,232,234,235,236,251,252,253,254,
255,259,261,262,264,266,267,269,270,271,274,276,277,278,279,281,283,284,285,
286,287,288,289,290,291,295,296,297,298,299,300,302,310,311,312,313,315,316,
317,318,319,320,321,322,323,325,326,327,328,329,330,331,332,334,335,337,338,
339,340,341,343,345,347,349,351,353,355,357,358,359,360,361,363,364,365,366,
367,368,369,370,372,375,376,377,379,380,381,382,383,384,386,388,390,391,392,
393,394,395,396,397,400,401,402,404,405,412,414,418,420,422,423,424,425,427,
428,429,431,433,436,439,441,442,445,446,450,452,453,455,456,458,459,460,463,
465,467,469,470,471,473,475,476,477,478,479,480,481,482,483,484,485,487,488,
489,491,493,495,497,498,501,503,523,526,530,532,544,545,546,548,551,556,557,
558,560,563,566,567,570,572,573,574,577,580,581,582,584,585,586,589,591,592,
594,596,597,600,602,604,607,608,618,619,625,626,627,642,647,649,652,653,654,
656,658,659,660,661,665,667,668,669,670,671,673,675,686,687,689,690,692,693,
695,696,697,698,702,703,704,705,708,709,710,712,713,716,718,721,723,724,728,
730,732,735,737,740,743,744,746,748,753,754,756,765,766,770,771,772,775,778,
782,785,787,791,792,794,799,802,832,834,836,843,845,846,855,857,861,862,869,
871,885,886,887,889,890,892,894,895,897,898,904,905,906,910,913,915,917,918,
919,920,924,929,930,932,935,936,940,942,944,947,949,950,952,955,970,971,972,
990,991,994,997,1001,1020,1021,1024,1025,1027,1028,1030,1031,1041,1042,1045,
1049,1050,1051,1053,1063,1067,1073,1076,1084,1086,1087,1111,1113,1120,1123,
1150,1154,1155,1166,1168,1169,1170,1172,1173,1175,1176,1178,1180,1181,1183,
1192,1194,1195,1215,1216,1218,1219,1224,1226,1237,1240,1249,1267,1272,1274,
1282,1289,1293,1295,1312,1313,1314,1317,1318,1322,1357,1359,1361,1364,1365,
1370,1371,1373,1374,1375,1377,1380,1385,1387,1390,1392,1394,1396,1452,1460,
1462,1465,1467,1501,1503,1504,1513,1515,1534,1536,1539,1541,1542,1545,1568,
1586,1602,1604,1621,1623,1625,1654,1655,1658,1676],[1,2,3,4,5,6,7,8,9,10,11,
12,13,14,15,16,18,19,20,21,22,23,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,
43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,
72,73,80,81,82,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99,100,105,107,109,
110,111,112,113,114,115,116,117,118,119,121,122,123,124,125,126,127,128,129,
130,131,132,133,134,138,140,141,144,145,146,147,148,149,151,152,153,154,156,
157,158,159,160,161,162,163,164,166,167,168,169,170,171,172,173,174,175,176,
177,178,179,180,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,
197,198,199,200,201,202,203,204,206,208,209,210,211,212,213,214,215,216,217,
219,220,230,232,234,235,236,251,252,253,254,256,260,261,263,265,266,267,268,
270,271,273,275,277,278,280,281,282,284,285,286,287,288,289,290,291,295,296,
297,298,299,300,302,309,311,312,314,315,316,317,318,319,320,321,322,323,324,
326,327,328,329,330,331,332,333,336,337,338,339,340,342,344,346,348,350,352,
354,356,357,358,359,360,362,363,364,365,366,367,368,369,371,373,374,376,378,
379,380,381,382,383,384,385,387,389,391,392,393,394,395,396,397,399,401,403,
404,405,413,414,417,419,421,423,424,426,427,428,429,430,432,436,440,441,442,
445,447,451,452,453,454,457,458,459,460,464,466,468,469,470,472,474,475,476,
477,478,479,480,481,482,483,484,486,487,488,490,492,494,496,497,498,502,503,
523,527,530,532,543,545,546,547,552,555,557,559,561,562,566,567,569,571,573,
574,578,579,581,583,584,585,587,588,590,593,595,596,597,599,601,603,606,608,
618,619,625,626,627,641,648,650,651,653,654,655,657,659,660,662,666,667,668,
669,670,671,672,674,685,688,689,690,691,694,695,696,697,698,701,703,704,706,
707,709,710,711,714,715,717,721,722,724,727,729,731,734,736,741,742,745,747,
748,752,754,757,764,767,770,771,773,774,778,781,786,787,790,792,795,798,802,
833,835,836,842,844,846,855,858,861,863,869,870,885,886,888,889,890,891,893,
896,897,898,904,905,907,911,912,914,916,918,919,921,925,929,930,933,934,937,
939,941,943,948,949,951,953,956,970,971,972,989,992,993,998,1002,1019,1022,
1023,1026,1027,1028,1029,1031,1040,1043,1046,1049,1050,1052,1054,1064,1068,
1074,1075,1083,1085,1087,1111,1112,1121,1123,1149,1153,1156,1165,1167,1169,
1170,1171,1174,1175,1176,1177,1179,1182,1184,1193,1194,1195,1215,1216,1217,
1220,1223,1225,1238,1241,1249,1268,1271,1273,1281,1290,1294,1295,1312,1313,
1315,1316,1318,1321,1358,1360,1362,1363,1366,1369,1372,1373,1374,1376,1378,
1379,1386,1388,1389,1391,1393,1395,1451,1459,1461,1466,1467,1500,1502,1505,
1512,1514,1535,1537,1538,1540,1543,1544,1569,1585,1601,1603,1620,1622,1624,
1653,1656,1657,1677],[1,2,3,4,6,7,8,9,12,13,14,15,17,19,20,22,29,30,35,36,37,
44,46,47,48,55,57,58,62,63,66,70,72,74,75,76,80,81,82,87,88,91,92,95,97,100,
104,111,158,159,170,178,187,188,189,199,200,202,209,214,215,216,230,231,233,
234,237,238,239,240,241,253,254,261,270,271,281,284,287,288,291,296,297,299,
301,306,307,308,331,332,365,401,479,482,483,521,523,529,530,531,533,535,536,
537,545,546,557,566,567,581,608,618,623,624,631,632,633,635,636,637,638,748,
852,855,860,861,865,869,877,885,886,897,898,918,919,949,966,967,968,975,976,
977,979,980,981,984,985,1111,1116,1123,1147,1215,1216,1243,1244,1245,1250,
1257,1258,1259,1260,1261,1312,1313,1318,1331,1353,1354,1356,1432,1439,1467,
1473,1486,1488,1551,1561,1627,1659,1660,1661,1678],[1,2,3,4,5,6,7,12,13,14,17,
18,19,20,21,22,23,24,35,37,44,55,66,72,73,74,75,76,77,78,79,80,87,88,91,92,95,
96,97,100,101,104,209,230,231,232,233,234,235,236,238,240,243,244,248,249,250,
257,258,261,272,281,284,287,288,291,296,297,299,302,306,307,308,520,521,522,
523,524,525,530,531,532,533,534,537,541,542,568,581,618,625,626,627,631,634,
636,637,638,640,851,855,856,859,860,861,864,866,867,868,869,873,969,970,971,
972,975,978,979,985,987,1118,1122,1123,1138,1147,1148,1246,1247,1248,1249,
1260,1353,1354,1355,1356,1433,1441,1488,1533,1597,1662,1679],[1,2,3,4,9,10,12,
14,16,17,19,20,22,30,33,52,59,66,71,74,75,76,82,92,97,100,104,105,152,162,184,
223,229,238,240,270,297,306,307,308,333,477,507,519,537,543,602,632,636,637,
638,818,850,876,925,980,985,1108,1131,1211,1254,1256,1342,1436,1526,1639,1668,
1680],[1,2,3,4,8,11,12,14,16,17,19,20,22,29,34,51,60,66,71,74,75,76,81,92,97,
100,104,106,153,163,183,224,229,238,240,271,297,306,307,308,334,478,506,519,
537,544,601,633,636,637,638,819,850,875,924,981,985,1108,1132,1210,1253,1255,
1341,1435,1527,1640,1667,1681],[1,3,5,16,23,24,25,26,68,69,71,98,101,103,228,
244,245,246,293,294,539,542,609,610,620,621,622,964,965,1125,1126,1127,1242,
1329,1330,1348,1351,1429,1430,1431,1471,1483,1519,1531,1549,1550,1596,1605,
1606,1682],[1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,18,21,23,26,27,28,29,30,31,
32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,
58,59,60,61,62,63,64,65,66,67,68,69,70,71,77,83,84,85,86,89,90,93,94,96,98,99,
103,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,
123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,
142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,
161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,
180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,
199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,
218,219,220,221,222,223,224,225,226,227,228,246,249,255,256,257,259,260,262,
263,264,265,268,269,272,273,274,275,276,279,280,282,283,285,286,289,290,292,
293,294,295,298,300,309,310,311,312,313,314,315,316,317,318,319,320,321,322,
323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,
342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,
361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,
380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,
399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,
418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,
437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,
456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,
475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,
494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,
513,514,515,516,517,518,539,547,548,553,554,555,556,560,561,562,563,568,571,
572,575,576,577,578,579,580,582,583,588,589,590,591,592,593,594,595,598,599,
600,603,604,605,606,607,609,610,611,612,613,614,615,616,617,619,628,629,641,
642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,
661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,
680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,
699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,
718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,
737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,
756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,
775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,
794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,
813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,
832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,887,
888,891,892,895,896,901,902,903,906,907,908,909,912,913,914,915,920,921,931,
932,933,936,937,938,943,944,945,946,947,948,950,951,954,955,956,961,962,963,
973,974,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,
1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,
1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,
1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,
1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,
1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,
1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,
1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1139,
1140,1141,1144,1145,1155,1156,1157,1158,1159,1160,1165,1166,1167,1168,1173,
1174,1177,1178,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1196,
1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1219,1220,
1225,1226,1227,1228,1239,1240,1241,1264,1265,1266,1267,1268,1269,1270,1271,
1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,
1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,
1302,1303,1304,1305,1306,1307,1308,1309,1310,1345,1346,1347,1348,1349,1350,
1365,1366,1369,1370,1375,1376,1379,1380,1381,1382,1383,1384,1387,1388,1391,
1392,1395,1396,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,1410,
1411,1412,1413,1414,1415,1416,1417,1418,1419,1424,1425,1444,1445,1446,1447,
1448,1449,1450,1451,1452,1453,1454,1455,1456,1457,1458,1493,1494,1512,1513,
1516,1517,1518,1521,1529,1555,1556,1566,1567,1578,1579,1580,1581,1607,1608,
1609,1610,1611,1617,1618,1683],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,19,20,
22,27,28,29,30,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,55,
56,57,58,59,60,61,62,63,66,67,70,71,72,74,75,76,80,81,82,87,88,91,92,95,97,
100,104,105,106,109,110,111,112,113,114,115,116,117,118,119,122,123,124,125,
126,127,130,131,132,133,138,145,146,149,150,151,152,153,154,155,158,159,160,
161,162,163,166,167,168,169,170,175,176,177,178,179,180,183,184,185,186,187,
188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,209,210,
211,212,213,214,215,216,219,222,223,224,230,234,237,238,239,240,241,251,253,
254,261,266,270,271,277,278,281,284,287,288,291,296,297,299,307,309,310,311,
312,315,316,317,318,319,320,321,322,323,326,327,328,329,330,331,332,333,334,
337,338,339,340,343,344,347,348,349,350,351,352,353,354,357,358,359,360,363,
364,365,366,367,368,369,376,377,378,381,382,383,384,385,386,389,390,391,392,
393,394,397,401,404,405,414,427,428,429,436,441,442,443,445,458,459,460,469,
470,473,474,475,476,477,478,479,482,483,485,486,491,492,503,504,505,506,507,
508,517,523,530,535,536,537,543,544,545,546,551,557,558,559,566,567,570,574,
581,585,586,597,601,602,608,618,631,633,635,636,641,642,647,648,653,654,655,
656,657,658,659,660,661,662,667,668,669,674,675,680,689,690,693,694,695,696,
697,698,707,708,713,714,717,718,721,724,729,730,734,735,746,747,748,764,765,
770,771,778,779,780,787,792,793,802,818,819,820,821,822,823,826,827,848,849,
855,861,869,875,877,885,886,890,897,898,904,905,910,917,918,919,924,925,926,
930,935,940,941,942,949,952,975,976,979,981,983,984,989,990,993,994,1014,1019,
1020,1025,1026,1031,1044,1045,1046,1049,1050,1067,1068,1073,1074,1077,1078,
1079,1080,1088,1111,1123,1132,1134,1136,1147,1149,1150,1153,1154,1169,1170,
1172,1175,1180,1181,1182,1195,1210,1211,1214,1215,1216,1224,1229,1234,1237,
1250,1252,1253,1255,1257,1258,1260,1261,1264,1273,1274,1287,1288,1292,1297,
1312,1313,1318,1333,1335,1337,1339,1341,1354,1359,1360,1361,1362,1364,1371,
1373,1377,1378,1385,1390,1394,1426,1435,1437,1439,1455,1459,1460,1467,1475,
1477,1479,1486,1489,1490,1495,1502,1503,1506,1507,1515,1525,1527,1536,1537,
1541,1542,1553,1561,1576,1577,1582,1592,1598,1604,1628,1637,1641,1665,1672,
1684],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,19,20,22,27,28,29,30,33,34,35,
36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,62,63,
66,67,70,71,72,74,75,76,80,81,82,87,88,91,92,95,97,100,104,105,106,109,110,
111,112,113,114,115,116,117,118,119,122,123,124,125,126,127,130,131,132,133,
138,145,146,149,150,151,152,153,154,155,158,159,160,161,162,163,166,167,168,
169,170,175,176,177,178,179,180,183,184,185,186,187,188,189,190,191,192,193,
194,195,196,197,198,199,200,201,202,203,204,209,210,211,212,213,214,215,216,
219,222,223,224,230,234,237,238,239,240,241,252,253,254,261,267,270,271,277,
278,281,284,287,288,291,296,297,299,307,309,310,311,312,315,316,317,318,319,
320,321,322,323,326,327,328,329,330,331,332,333,334,337,338,339,340,343,344,
347,348,349,350,351,352,353,354,357,358,359,360,363,364,365,366,367,368,369,
376,377,378,381,382,383,384,385,386,389,390,391,392,393,394,397,401,404,405,
414,427,428,429,436,441,442,443,445,458,459,460,469,470,473,474,475,476,477,
478,479,482,483,485,486,491,492,503,504,505,506,507,508,517,523,530,535,536,
537,543,544,545,546,552,557,558,559,566,567,569,573,581,584,587,596,601,602,
608,618,631,632,635,636,641,642,647,648,653,654,655,656,657,658,659,660,661,
662,667,668,669,674,675,680,689,690,693,694,695,696,697,698,707,708,713,714,
717,718,721,724,729,730,734,735,746,747,748,764,765,770,771,778,779,780,787,
792,793,802,818,819,820,821,822,823,826,827,848,849,855,861,869,876,877,885,
886,889,897,898,904,905,911,916,918,919,924,925,926,929,934,939,941,942,949,
953,975,977,979,980,982,984,989,990,993,994,1014,1019,1020,1025,1026,1031,
1044,1045,1046,1049,1050,1067,1068,1073,1074,1077,1078,1079,1080,1088,1111,
1123,1131,1133,1135,1147,1149,1150,1153,1154,1169,1170,1171,1176,1179,1181,
1182,1194,1210,1211,1214,1215,1216,1223,1229,1234,1238,1250,1251,1254,1256,
1257,1259,1260,1261,1264,1273,1274,1287,1288,1292,1297,1312,1313,1318,1334,
1336,1338,1340,1342,1354,1359,1360,1361,1362,1363,1372,1374,1377,1378,1386,
1389,1393,1426,1436,1438,1439,1455,1459,1460,1467,1474,1476,1478,1486,1489,
1490,1495,1502,1503,1506,1507,1514,1524,1526,1536,1537,1540,1543,1554,1561,
1576,1577,1582,1593,1598,1603,1629,1636,1641,1666,1673,1685],[1,2,3,4,5,6,7,8,
9,10,11,12,13,14,15,16,17,18,20,21,22,23,27,28,29,30,31,32,33,34,35,36,37,38,
39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,
66,67,68,69,70,71,73,74,75,76,77,79,80,82,84,85,86,88,89,90,93,94,95,96,97,98,
99,104,105,107,108,109,111,112,113,114,115,116,117,118,119,120,121,123,124,
126,128,129,130,131,132,133,134,135,137,139,140,141,142,143,144,147,148,149,
150,151,152,153,154,156,157,158,159,160,161,162,164,165,166,167,168,169,170,
171,173,175,176,177,178,179,180,181,182,183,184,185,186,187,188,190,191,192,
193,194,195,196,197,198,200,201,202,204,205,206,207,208,210,211,212,213,215,
217,218,219,220,221,222,223,224,225,226,227,228,232,235,236,237,238,239,240,
241,251,256,257,258,260,262,263,265,266,268,270,272,273,274,275,277,279,280,
281,282,285,286,289,290,291,292,294,295,298,300,307,309,311,312,313,314,315,
316,318,319,320,324,325,326,327,328,329,330,332,333,336,337,338,339,340,341,
342,344,345,346,348,350,351,352,354,356,358,360,361,362,363,364,366,367,371,
372,373,374,375,377,379,380,381,382,384,385,387,388,389,391,392,394,396,397,
398,399,400,402,403,405,407,409,410,412,413,415,417,418,419,420,421,423,424,
425,426,427,428,430,431,432,433,435,437,439,440,446,447,448,450,451,452,453,
454,455,456,457,458,461,463,464,465,466,467,468,471,473,477,479,481,482,485,
487,490,491,492,494,496,497,500,501,502,504,505,506,507,508,509,510,511,512,
513,514,515,516,517,518,525,527,532,535,536,537,543,545,547,549,551,554,555,
561,562,563,565,571,574,576,578,579,580,583,585,588,590,593,595,599,602,603,
604,605,606,608,609,612,613,615,619,634,635,636,641,644,645,647,649,650,651,
655,657,659,660,662,664,665,666,670,672,675,676,678,681,683,685,687,688,690,
691,692,693,696,699,703,706,708,710,713,715,717,720,722,723,724,725,727,731,
739,741,742,745,747,751,753,755,757,759,761,763,765,769,773,774,775,776,779,
780,781,782,783,785,786,789,790,791,793,794,795,796,798,799,800,806,807,808,
809,811,812,814,815,816,817,818,821,823,825,826,828,830,831,832,834,837,839,
841,843,845,847,856,858,863,870,876,877,888,890,891,893,896,900,901,903,904,
907,912,914,919,921,922,925,927,933,937,940,943,944,946,948,951,956,958,959,
962,978,984,989,992,995,998,999,1008,1009,1022,1025,1028,1029,1030,1033,1034,
1037,1039,1044,1045,1048,1054,1055,1056,1058,1059,1061,1064,1069,1070,1075,
1078,1080,1084,1086,1089,1092,1094,1096,1098,1100,1102,1105,1107,1110,1112,
1121,1131,1133,1135,1148,1149,1151,1156,1157,1160,1161,1164,1165,1167,1174,
1175,1177,1180,1181,1184,1188,1193,1197,1199,1200,1203,1204,1211,1213,1217,
1220,1222,1225,1228,1231,1233,1236,1241,1254,1261,1266,1271,1280,1284,1288,
1293,1296,1300,1301,1303,1306,1315,1316,1320,1321,1334,1336,1338,1340,1342,
1355,1358,1362,1366,1367,1369,1376,1379,1385,1388,1391,1395,1397,1403,1412,
1417,1419,1421,1423,1427,1436,1453,1461,1464,1466,1474,1476,1478,1491,1494,
1496,1500,1506,1509,1511,1512,1522,1524,1526,1535,1538,1544,1547,1554,1571,
1578,1584,1588,1590,1593,1600,1601,1613,1631,1632,1634,1636,1645,1651,1663,
1675,1686],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,27,28,29,
30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,
57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,79,80,81,83,85,86,
88,89,90,93,94,95,96,97,98,99,104,106,107,108,110,111,112,113,114,115,116,117,
118,119,120,121,122,124,125,128,129,130,131,132,133,134,135,136,139,140,141,
142,143,144,147,148,149,150,151,152,153,155,156,157,158,159,160,161,163,164,
165,166,167,168,169,170,172,174,175,176,177,178,179,180,181,182,183,184,185,
186,187,188,190,191,192,193,194,195,196,197,198,199,201,202,203,205,206,207,
208,210,211,212,213,216,217,218,219,220,221,222,223,224,225,226,227,228,232,
235,236,237,238,239,240,241,252,255,257,258,259,262,263,264,267,269,271,272,
273,274,276,278,279,280,281,283,285,286,289,290,291,292,293,295,298,300,307,
310,311,312,313,314,315,317,318,319,320,324,325,326,327,328,329,330,331,334,
335,337,338,339,340,341,342,343,345,346,347,349,351,352,353,355,357,359,361,
362,363,364,366,367,370,372,373,374,375,378,379,380,381,382,383,386,387,388,
390,391,392,393,395,397,398,399,400,402,403,404,406,408,411,412,413,416,417,
418,419,420,422,423,424,425,426,427,429,430,431,432,433,434,438,439,440,446,
447,449,450,451,452,453,454,455,456,457,459,462,463,464,465,466,467,468,472,
474,478,479,480,483,486,488,489,491,492,493,495,498,499,501,502,504,505,506,
507,508,509,510,511,512,513,514,515,516,517,518,525,526,532,535,536,537,544,
546,548,550,552,553,556,560,562,563,564,572,573,575,577,579,580,582,584,589,
591,592,594,600,601,603,604,605,607,608,610,611,614,616,619,634,635,636,642,
643,646,648,649,650,652,656,658,659,660,661,663,665,666,671,673,674,677,679,
682,684,686,687,688,689,691,692,694,695,700,704,705,707,709,714,716,718,719,
722,723,724,726,728,732,738,740,743,744,746,750,752,755,756,758,760,762,764,
768,772,774,775,777,779,780,781,782,784,785,786,788,790,791,793,794,795,797,
798,799,801,806,807,808,809,810,813,814,815,816,817,819,820,822,824,827,829,
830,831,833,835,837,838,840,842,844,847,856,857,862,871,875,877,887,889,892,
894,895,899,902,903,905,906,913,915,918,920,923,924,928,932,936,939,943,944,
945,947,950,955,957,960,961,978,984,990,991,996,997,1000,1007,1010,1021,1026,
1027,1029,1030,1032,1035,1036,1038,1044,1046,1047,1053,1055,1056,1057,1060,
1062,1063,1069,1070,1076,1077,1079,1083,1085,1090,1091,1095,1097,1098,1099,
1101,1104,1106,1109,1113,1120,1132,1134,1136,1148,1150,1152,1155,1158,1159,
1162,1163,1166,1168,1173,1176,1178,1179,1182,1183,1187,1192,1196,1198,1201,
1202,1204,1210,1212,1218,1219,1221,1226,1227,1230,1232,1235,1240,1253,1261,
1265,1272,1279,1283,1287,1294,1296,1299,1302,1304,1305,1314,1317,1319,1322,
1333,1335,1337,1339,1341,1355,1357,1361,1365,1368,1370,1375,1380,1386,1387,
1392,1396,1398,1404,1413,1416,1418,1420,1422,1428,1435,1454,1462,1463,1465,
1475,1477,1479,1492,1493,1497,1501,1507,1508,1510,1513,1523,1525,1527,1534,
1539,1545,1546,1553,1570,1579,1583,1589,1591,1592,1599,1602,1612,1630,1633,
1635,1637,1644,1650,1664,1674,1687],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,18,19,20,21,22,23,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,
47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,66,67,69,70,72,73,74,75,76,
77,79,80,81,82,83,85,86,87,88,89,92,94,95,96,100,104,105,106,107,110,111,112,
113,114,115,116,117,118,119,121,122,124,125,128,130,131,132,133,134,136,140,
141,144,148,151,152,153,154,155,156,158,159,160,161,163,164,166,167,168,169,
170,171,173,177,178,180,182,183,184,185,186,187,188,190,191,192,193,194,195,
196,197,198,199,201,202,204,206,208,209,210,211,212,213,216,217,219,220,234,
235,237,240,241,249,251,253,255,256,257,259,260,261,262,265,266,270,271,272,
273,274,276,277,278,280,281,283,284,286,292,293,296,302,307,309,310,311,312,
314,315,317,318,319,320,321,324,326,327,328,329,330,331,332,333,334,335,337,
338,339,340,342,343,344,346,347,348,349,350,352,353,354,356,358,362,363,364,
365,366,367,369,371,373,374,378,380,381,382,383,385,386,387,389,390,391,392,
393,396,397,398,399,403,404,406,408,411,413,416,417,419,422,423,426,430,432,
434,438,440,443,447,449,451,452,454,457,462,464,466,468,471,472,473,475,481,
484,487,490,491,493,496,497,499,502,523,525,526,535,543,544,545,546,548,550,
552,553,556,557,558,559,560,562,564,568,570,571,572,574,576,578,580,583,585,
586,591,593,594,596,611,614,625,631,633,634,635,641,642,643,646,648,650,651,
654,655,656,657,658,659,660,661,662,663,666,668,670,672,674,677,679,680,682,
684,686,688,691,700,702,703,705,710,712,715,717,718,719,722,724,727,731,733,
735,736,739,741,745,758,760,762,766,768,773,774,777,781,784,786,788,790,795,
797,798,801,810,813,861,862,867,869,875,886,887,890,892,893,897,902,903,904,
905,906,909,912,915,917,918,919,923,924,925,926,928,953,957,970,979,981,983,
984,989,990,992,993,1007,1010,1014,1016,1017,1022,1024,1028,1029,1032,1047,
1051,1054,1057,1064,1065,1072,1075,1109,1111,1113,1132,1134,1136,1147,1148,
1149,1150,1152,1153,1154,1155,1158,1159,1162,1163,1166,1168,1172,1175,1179,
1186,1188,1189,1191,1194,1201,1202,1214,1217,1224,1227,1232,1250,1252,1253,
1264,1265,1267,1270,1271,1275,1277,1312,1314,1327,1333,1335,1337,1358,1360,
1361,1362,1364,1365,1368,1381,1383,1389,1435,1447,1459,1460,1462,1463,1475,
1486,1489,1490,1492,1493,1495,1497,1499,1500,1504,1523,1525,1533,1539,1541,
1543,1563,1566,1572,1586,1589,1592,1598,1599,1612,1621,1628,1630,1642,1649,
1658,1672,1674,1688],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,
22,23,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,
52,53,55,56,57,58,59,60,61,62,63,65,66,67,68,70,72,73,74,75,76,77,79,80,81,82,
84,85,86,87,88,90,92,93,95,96,100,104,105,106,108,109,111,112,113,114,115,116,
117,118,119,120,123,124,126,129,130,131,132,133,135,137,139,142,143,147,150,
152,153,154,155,157,158,159,160,161,162,165,166,167,168,169,170,172,174,176,
178,179,181,183,184,185,186,187,188,190,191,192,193,194,195,196,197,198,200,
201,202,203,205,207,209,210,211,212,213,215,218,219,221,234,235,237,240,241,
249,252,254,255,256,257,259,260,261,263,264,267,270,271,272,273,274,275,277,
278,279,281,282,284,285,292,294,296,302,307,309,310,311,312,313,315,316,318,
319,320,322,325,326,327,328,329,330,331,332,333,334,336,337,338,339,340,341,
343,344,345,347,348,349,350,351,353,354,355,357,361,363,364,365,366,367,368,
370,372,375,377,379,381,382,384,385,386,388,389,390,391,392,394,395,397,398,
400,402,405,407,409,410,412,415,418,420,421,424,425,431,433,435,437,439,443,
446,448,450,453,455,456,461,463,465,467,471,472,474,476,480,484,488,489,492,
494,495,498,500,501,523,525,527,535,543,544,545,546,547,549,551,554,555,557,
558,559,561,563,565,568,569,571,572,573,575,577,579,582,584,587,590,592,595,
597,612,613,625,631,632,634,635,641,642,644,645,647,649,652,653,655,656,657,
658,659,660,661,662,664,665,669,671,673,675,676,678,680,681,683,685,687,692,
699,701,704,706,709,711,716,717,718,720,723,724,728,732,733,734,737,738,740,
744,759,761,763,767,769,772,775,776,782,783,785,789,791,794,796,799,800,811,
812,861,863,867,869,876,885,888,889,891,894,898,901,903,904,905,907,908,913,
914,916,918,919,922,924,925,926,927,952,958,970,979,980,982,984,989,990,991,
994,1008,1009,1014,1015,1018,1021,1023,1027,1030,1033,1048,1052,1053,1058,
1063,1066,1071,1076,1110,1111,1112,1131,1133,1135,1147,1148,1149,1150,1151,
1153,1154,1156,1157,1160,1161,1164,1165,1167,1171,1176,1180,1185,1187,1190,
1191,1195,1200,1203,1214,1218,1223,1228,1233,1250,1251,1254,1264,1266,1268,
1269,1272,1276,1278,1313,1315,1326,1334,1336,1338,1357,1359,1361,1362,1363,
1366,1367,1382,1384,1390,1436,1446,1459,1460,1461,1464,1474,1486,1489,1490,
1491,1494,1495,1496,1498,1501,1505,1522,1524,1533,1538,1540,1542,1562,1567,
1573,1585,1588,1593,1598,1600,1613,1620,1629,1631,1643,1648,1657,1673,1675,
1689],[1,2,3,4,6,8,9,10,11,12,13,15,16,17,19,20,22,25,27,28,29,30,33,34,35,36,
38,39,40,41,42,43,45,46,47,48,49,50,51,52,56,57,58,59,60,61,62,67,72,74,75,76,
80,81,82,87,92,95,102,105,106,111,112,113,114,115,116,117,118,119,124,130,131,
132,133,152,153,154,155,158,159,160,161,166,167,168,169,183,184,185,186,187,
188,190,191,192,193,194,195,196,197,198,201,210,211,212,213,230,231,233,237,
240,241,242,251,252,253,254,266,267,270,271,277,278,281,284,303,309,310,311,
312,315,318,319,320,326,327,328,329,330,331,332,333,334,337,338,339,340,343,
344,347,348,349,350,353,354,363,364,366,367,381,382,385,386,389,390,391,392,
397,443,520,521,522,528,529,535,538,545,546,557,558,559,569,570,573,574,584,
585,586,587,631,632,633,641,642,655,656,657,658,659,660,661,662,680,717,718,
724,851,852,853,854,875,876,878,885,886,889,890,904,905,916,917,926,979,980,
981,982,983,989,990,1014,1114,1131,1132,1133,1134,1135,1136,1137,1153,1154,
1171,1172,1175,1176,1214,1250,1251,1252,1264,1311,1333,1334,1335,1336,1337,
1338,1343,1344,1352,1363,1364,1474,1475,1481,1484,1485,1495,1559,1628,1629,
1690],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,27,28,29,
30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,
56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,
84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,104,105,106,107,108,109,
110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,
129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,
148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,
167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,
186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,
205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,
224,225,226,227,228,230,232,234,235,236,237,238,239,240,241,249,251,252,253,
254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,270,271,272,273,
274,275,276,277,278,279,280,281,282,284,285,286,287,288,289,290,291,292,294,
295,296,297,298,299,300,302,307,309,310,311,312,313,314,315,316,317,318,319,
320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,
339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,
358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,
377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,
396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,
415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,
434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,
453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,
472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,
491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,
510,511,512,513,514,515,516,517,518,523,525,527,530,532,535,536,537,543,544,
545,546,547,549,551,552,553,554,555,557,558,559,560,561,562,563,565,566,567,
568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,
587,588,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,
608,609,611,612,613,615,617,618,619,625,626,627,631,632,634,635,636,641,642,
643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,
662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,
681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,
700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,
719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,
738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,
757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,
776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,
795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,
814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,
833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,855,856,
858,861,863,864,867,869,870,876,877,885,886,888,889,890,891,893,894,896,897,
898,900,901,903,904,905,907,908,909,910,911,912,913,914,915,916,917,918,919,
921,922,924,925,926,927,929,930,931,932,933,934,935,936,937,938,939,940,941,
942,943,944,945,946,947,948,949,951,952,953,954,955,956,958,959,962,963,970,
971,972,975,977,978,979,980,982,984,988,989,990,991,992,993,994,995,996,997,
998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,
1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,
1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,
1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,
1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,
1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,
1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,
1104,1105,1106,1107,1110,1111,1112,1121,1122,1123,1131,1133,1135,1147,1148,
1149,1150,1151,1153,1154,1156,1157,1160,1161,1163,1164,1165,1167,1169,1170,
1171,1172,1174,1175,1176,1177,1179,1180,1181,1182,1184,1185,1187,1188,1190,
1191,1193,1194,1195,1197,1199,1200,1201,1203,1204,1206,1208,1209,1210,1211,
1213,1214,1215,1216,1217,1218,1220,1222,1223,1224,1225,1228,1229,1231,1233,
1234,1236,1237,1238,1239,1240,1241,1249,1250,1251,1254,1256,1257,1259,1260,
1261,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,
1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,
1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,
1308,1309,1310,1312,1313,1315,1316,1318,1320,1321,1325,1326,1334,1336,1338,
1340,1342,1354,1355,1357,1358,1359,1360,1361,1362,1363,1364,1366,1367,1369,
1371,1372,1373,1374,1376,1377,1378,1379,1382,1383,1384,1385,1386,1388,1389,
1390,1391,1393,1394,1395,1397,1400,1401,1403,1404,1405,1406,1409,1410,1412,
1414,1415,1417,1419,1420,1421,1423,1425,1426,1427,1436,1438,1439,1444,1445,
1446,1447,1448,1449,1450,1451,1452,1453,1454,1455,1456,1457,1458,1459,1460,
1461,1464,1466,1467,1468,1474,1476,1478,1486,1489,1490,1491,1492,1494,1495,
1496,1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,1509,1511,1512,1514,
1515,1516,1518,1522,1524,1526,1529,1533,1535,1536,1537,1538,1540,1541,1542,
1543,1544,1547,1554,1561,1562,1563,1564,1565,1567,1568,1569,1570,1571,1572,
1573,1574,1575,1576,1577,1578,1580,1582,1584,1585,1588,1590,1593,1597,1598,
1600,1601,1603,1604,1613,1615,1616,1618,1620,1622,1624,1629,1631,1632,1634,
1636,1641,1642,1643,1645,1647,1648,1651,1653,1656,1657,1663,1666,1669,1671,
1673,1675,1677,1685,1686,1689,1691],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,18,19,20,21,22,23,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,
46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,
72,73,74,75,76,77,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,
100,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,
122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,
141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,
160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,
179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,
198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,
217,218,219,220,221,222,223,224,225,226,227,228,230,232,234,235,236,237,238,
239,240,241,249,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,
266,267,269,270,271,272,273,274,275,276,277,278,279,280,281,283,284,285,286,
287,288,289,290,291,292,293,295,296,297,298,299,300,302,307,309,310,311,312,
313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,
332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,
351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,
370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,
389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,
408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,
427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,
446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,
465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,
484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,
503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,523,525,526,
530,532,535,536,537,543,544,545,546,548,550,551,552,553,554,556,557,558,559,
560,561,562,563,564,566,567,568,569,570,571,572,573,574,575,576,577,578,579,
580,581,582,583,584,585,586,587,589,590,591,592,593,594,595,596,597,598,599,
600,601,602,603,604,605,607,608,610,611,612,614,616,617,618,619,625,626,627,
631,633,634,635,636,641,642,643,644,645,646,647,648,649,650,651,652,653,654,
655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,
674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,
693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,
712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,
731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,
750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,
769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,
788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,
807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,
826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,
845,846,847,848,849,855,856,857,861,862,864,867,869,871,875,877,885,886,887,
889,890,892,893,894,895,897,898,899,902,903,904,905,906,908,909,910,911,912,
913,914,915,916,917,918,919,920,923,924,925,926,928,929,930,931,932,933,934,
935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,952,953,954,
955,956,957,960,961,963,970,971,972,975,976,978,979,981,983,984,988,989,990,
991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,
1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,
1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,
1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,
1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,
1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,
1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,
1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1109,1111,1113,1120,1122,
1123,1132,1134,1136,1147,1148,1149,1150,1152,1153,1154,1155,1158,1159,1162,
1163,1164,1166,1168,1169,1170,1171,1172,1173,1175,1176,1178,1179,1180,1181,
1182,1183,1186,1187,1188,1189,1191,1192,1194,1195,1196,1198,1200,1201,1202,
1204,1205,1207,1209,1210,1211,1212,1214,1215,1216,1217,1218,1219,1221,1223,
1224,1226,1227,1229,1230,1232,1234,1235,1237,1238,1239,1240,1241,1249,1250,
1252,1253,1255,1257,1258,1260,1261,1264,1265,1266,1267,1268,1269,1270,1271,
1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,
1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,
1302,1303,1304,1305,1306,1307,1308,1309,1310,1312,1313,1314,1317,1318,1319,
1322,1324,1327,1333,1335,1337,1339,1341,1354,1355,1357,1358,1359,1360,1361,
1362,1363,1364,1365,1368,1370,1371,1372,1373,1374,1375,1377,1378,1380,1381,
1383,1384,1385,1386,1387,1389,1390,1392,1393,1394,1396,1398,1399,1402,1403,
1404,1405,1407,1408,1411,1413,1414,1415,1416,1418,1420,1421,1422,1424,1426,
1428,1435,1437,1439,1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,
1455,1456,1457,1458,1459,1460,1462,1463,1465,1467,1469,1475,1477,1479,1486,
1489,1490,1491,1492,1493,1495,1497,1498,1499,1500,1501,1502,1503,1504,1505,
1506,1507,1508,1510,1513,1514,1515,1517,1518,1523,1525,1527,1529,1533,1534,
1536,1537,1539,1540,1541,1542,1543,1545,1546,1553,1561,1562,1563,1564,1565,
1566,1568,1569,1570,1571,1572,1573,1574,1575,1576,1577,1579,1581,1582,1583,
1586,1589,1591,1592,1597,1598,1599,1602,1603,1604,1612,1615,1616,1617,1621,
1623,1625,1628,1630,1633,1635,1637,1641,1642,1643,1644,1646,1649,1650,1654,
1655,1658,1664,1665,1670,1671,1672,1674,1676,1684,1687,1688,1692],[1,2,3,4,6,
7,8,9,10,11,12,13,14,15,16,17,19,20,22,25,27,28,29,30,33,34,35,36,37,38,39,40,
41,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,62,63,66,67,70,71,72,
74,75,76,80,81,82,87,88,91,92,95,97,100,102,105,106,109,110,111,112,113,114,
115,116,117,118,119,122,123,124,125,126,127,130,131,132,133,138,145,146,149,
150,151,152,153,154,155,158,159,160,161,162,163,166,167,168,169,170,175,176,
177,178,179,180,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,
198,199,200,201,202,203,204,209,210,211,212,213,214,215,216,219,222,223,224,
230,231,233,234,237,238,239,240,241,242,251,252,253,254,261,266,267,270,271,
277,278,281,284,287,288,291,296,297,299,303,304,305,309,310,311,312,315,316,
317,318,319,320,321,322,323,326,327,328,329,330,331,332,333,334,337,338,339,
340,343,344,347,348,349,350,351,352,353,354,357,358,359,360,363,364,365,366,
367,368,369,376,377,378,381,382,383,384,385,386,389,390,391,392,393,394,397,
401,404,405,414,427,428,429,436,441,442,443,445,458,459,460,469,470,473,474,
475,476,477,478,479,482,483,485,486,491,492,503,504,505,506,507,508,517,520,
521,522,528,529,530,531,533,534,535,536,537,538,545,546,551,552,557,558,559,
566,567,569,570,573,574,581,584,585,586,587,596,597,601,602,608,618,630,631,
632,633,641,642,647,648,653,654,655,656,657,658,659,660,661,662,667,668,669,
674,675,680,689,690,693,694,695,696,697,698,707,708,713,714,717,718,721,724,
729,730,734,735,746,747,748,764,765,770,771,778,779,780,787,792,793,802,818,
819,820,821,822,823,826,827,848,849,851,852,853,854,859,860,865,866,872,873,
875,876,877,878,879,884,885,886,889,890,897,898,904,905,910,911,916,917,918,
919,926,929,930,934,935,939,940,941,942,949,952,953,975,976,977,979,980,981,
982,983,989,990,993,994,1014,1019,1020,1025,1026,1031,1044,1045,1046,1049,
1050,1067,1068,1073,1074,1077,1078,1079,1080,1088,1114,1115,1116,1117,1118,
1119,1131,1132,1133,1134,1135,1136,1137,1146,1153,1154,1169,1170,1171,1172,
1175,1176,1179,1180,1181,1182,1194,1195,1214,1215,1216,1223,1224,1229,1234,
1237,1238,1250,1251,1252,1255,1256,1257,1258,1259,1260,1264,1273,1274,1287,
1288,1292,1297,1311,1323,1328,1333,1334,1335,1336,1337,1338,1339,1340,1341,
1342,1343,1344,1352,1363,1364,1371,1372,1373,1374,1377,1378,1385,1386,1389,
1390,1393,1394,1426,1437,1438,1439,1455,1470,1474,1475,1476,1477,1478,1479,
1480,1481,1482,1484,1485,1487,1495,1514,1515,1553,1554,1557,1558,1559,1560,
1582,1614,1628,1629,1665,1666,1690,1693],[1,2,3,4,5,6,8,9,10,11,12,13,15,16,
17,19,20,22,25,27,28,29,30,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,
52,56,57,58,59,60,61,62,67,72,73,74,75,76,78,80,81,82,87,92,95,102,104,105,
106,111,112,113,114,115,116,117,118,119,124,130,131,132,133,152,153,154,155,
158,159,160,161,166,167,168,169,183,184,185,186,187,188,190,191,192,193,194,
195,196,197,198,201,210,211,212,213,230,231,233,234,237,240,241,242,245,247,
251,252,253,254,266,267,270,271,277,278,281,284,302,303,307,309,310,311,312,
315,318,319,320,326,327,328,329,330,331,332,333,334,337,338,339,340,343,344,
347,348,349,350,353,354,363,364,366,367,381,382,385,386,389,390,391,392,397,
443,520,521,522,523,524,528,529,535,538,543,544,545,546,557,558,559,569,570,
573,574,584,585,586,587,627,631,632,633,635,639,641,642,655,656,657,658,659,
660,661,662,680,717,718,724,851,852,853,854,861,875,876,878,880,882,885,886,
889,890,904,905,916,917,918,919,924,925,926,969,979,980,981,982,983,984,989,
990,1014,1111,1114,1131,1132,1133,1134,1135,1136,1137,1147,1149,1150,1153,
1154,1171,1172,1175,1176,1214,1247,1250,1251,1252,1253,1254,1263,1264,1311,
1312,1313,1333,1334,1335,1336,1337,1338,1343,1344,1352,1361,1362,1363,1364,
1435,1436,1459,1460,1474,1475,1481,1484,1485,1486,1489,1490,1495,1520,1524,
1525,1540,1541,1559,1592,1593,1598,1628,1629,1672,1673,1690,1694],[1,2,3,4,5,
6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,22,25,27,28,29,30,33,34,35,36,37,38,
39,40,41,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,62,63,66,67,70,
71,72,73,74,75,76,78,80,81,82,87,88,91,92,95,97,100,102,104,105,106,109,110,
111,112,113,114,115,116,117,118,119,122,123,124,125,126,127,130,131,132,133,
138,145,146,149,150,151,152,153,154,155,158,159,160,161,162,163,166,167,168,
169,170,175,176,177,178,179,180,183,184,185,186,187,188,189,190,191,192,193,
194,195,196,197,198,199,200,201,202,203,204,209,210,211,212,213,214,215,216,
219,222,223,224,230,231,233,234,235,237,238,239,240,241,242,245,247,250,251,
252,253,254,261,266,267,270,271,277,278,281,284,287,288,291,296,297,299,302,
303,304,305,307,309,310,311,312,315,316,317,318,319,320,321,322,323,326,327,
328,329,330,331,332,333,334,337,338,339,340,343,344,347,348,349,350,351,352,
353,354,357,358,359,360,363,364,365,366,367,368,369,376,377,378,381,382,383,
384,385,386,389,390,391,392,393,394,397,401,404,405,414,427,428,429,436,441,
442,443,445,458,459,460,469,470,473,474,475,476,477,478,479,482,483,485,486,
491,492,503,504,505,506,507,508,517,520,521,522,523,524,528,529,530,531,533,
534,535,536,537,538,540,543,544,545,546,551,552,557,558,559,566,567,569,570,
573,574,581,584,585,586,587,596,597,601,602,608,618,625,627,630,631,632,633,
635,636,639,641,642,647,648,653,654,655,656,657,658,659,660,661,662,667,668,
669,674,675,680,689,690,693,694,695,696,697,698,707,708,713,714,717,718,721,
724,729,730,734,735,746,747,748,764,765,770,771,778,779,780,787,792,793,802,
818,819,820,821,822,823,826,827,848,849,851,852,853,854,855,859,860,861,865,
866,868,869,872,873,875,876,877,878,879,880,882,884,885,886,889,890,897,898,
904,905,910,911,916,917,918,919,924,925,926,929,930,934,935,939,940,941,942,
949,952,953,969,971,975,976,977,979,980,981,982,983,984,986,989,990,993,994,
1014,1019,1020,1025,1026,1031,1044,1045,1046,1049,1050,1067,1068,1073,1074,
1077,1078,1079,1080,1088,1111,1114,1115,1116,1117,1118,1119,1123,1131,1132,
1133,1134,1135,1136,1137,1142,1146,1147,1149,1150,1153,1154,1169,1170,1171,
1172,1175,1176,1179,1180,1181,1182,1194,1195,1210,1211,1214,1215,1216,1223,
1224,1229,1234,1237,1238,1246,1247,1248,1250,1251,1252,1253,1254,1255,1256,
1257,1258,1259,1260,1261,1263,1264,1273,1274,1287,1288,1292,1297,1311,1312,
1313,1318,1323,1328,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,
1344,1352,1354,1359,1360,1361,1362,1363,1364,1371,1372,1373,1374,1377,1378,
1385,1386,1389,1390,1393,1394,1426,1433,1435,1436,1437,1438,1439,1443,1455,
1459,1460,1467,1470,1474,1475,1476,1477,1478,1479,1480,1481,1482,1484,1485,
1486,1487,1489,1490,1495,1502,1503,1506,1507,1514,1515,1520,1524,1525,1526,
1527,1536,1537,1540,1541,1542,1543,1553,1554,1557,1558,1559,1560,1561,1576,
1577,1582,1587,1592,1593,1598,1603,1604,1614,1628,1629,1636,1637,1641,1665,
1666,1672,1673,1684,1685,1690,1693,1694,1695],[1,2,3,4,6,8,9,10,11,12,13,15,
16,17,19,20,22,27,28,29,30,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,
52,56,57,58,59,60,61,62,67,72,74,75,76,80,81,82,87,92,95,104,105,106,111,112,
113,114,115,116,117,118,119,124,130,131,132,133,152,153,154,155,158,159,160,
161,166,167,168,169,183,184,185,186,187,188,190,191,192,193,194,195,196,197,
198,201,210,211,212,213,229,231,234,237,239,240,241,251,252,253,254,266,267,
270,271,277,278,281,284,301,306,307,308,309,310,311,312,315,318,319,320,326,
327,328,329,330,331,332,333,334,337,338,339,340,343,344,347,348,349,350,353,
354,363,364,366,367,381,382,385,386,389,390,391,392,397,443,519,523,529,531,
535,543,544,545,546,557,558,559,569,570,573,574,584,585,586,587,623,624,631,
632,633,635,638,641,642,655,656,657,658,659,660,661,662,680,717,718,724,850,
861,865,875,876,885,886,889,890,904,905,916,917,918,919,924,925,926,967,968,
976,977,979,980,981,982,983,984,989,990,1014,1111,1131,1132,1133,1134,1135,
1136,1147,1149,1150,1153,1154,1171,1172,1175,1176,1214,1244,1250,1251,1252,
1253,1254,1264,1312,1313,1331,1333,1334,1335,1336,1337,1338,1352,1356,1361,
1362,1363,1364,1435,1436,1459,1460,1473,1474,1475,1486,1487,1489,1490,1495,
1524,1525,1540,1541,1592,1593,1598,1627,1628,1629,1639,1640,1659,1660,1667,
1668,1672,1673,1696],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,19,20,22,27,28,
29,30,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,
59,60,61,62,63,66,67,70,71,72,74,75,76,80,81,82,87,88,91,92,95,97,100,104,105,
106,109,110,111,112,113,114,115,116,117,118,119,122,123,124,125,126,127,130,
131,132,133,138,145,146,149,150,151,152,153,154,155,158,159,160,161,162,163,
166,167,168,169,170,175,176,177,178,179,180,183,184,185,186,187,188,189,190,
191,192,193,194,195,196,197,198,199,200,201,202,203,204,209,210,211,212,213,
214,215,216,219,222,223,224,229,230,231,233,234,237,238,239,240,241,251,252,
253,254,261,266,267,270,271,277,278,281,284,287,288,291,296,297,299,301,306,
307,308,309,310,311,312,315,316,317,318,319,320,321,322,323,326,327,328,329,
330,331,332,333,334,337,338,339,340,343,344,347,348,349,350,351,352,353,354,
357,358,359,360,363,364,365,366,367,368,369,376,377,378,381,382,383,384,385,
386,389,390,391,392,393,394,397,401,404,405,414,427,428,429,436,441,442,443,
445,458,459,460,469,470,473,474,475,476,477,478,479,482,483,485,486,491,492,
503,504,505,506,507,508,517,519,521,523,529,530,531,533,535,536,537,543,544,
545,546,551,552,557,558,559,566,567,569,570,573,574,581,584,585,586,587,596,
597,601,602,608,618,623,624,631,632,633,635,636,637,638,641,642,647,648,653,
654,655,656,657,658,659,660,661,662,667,668,669,674,675,680,689,690,693,694,
695,696,697,698,707,708,713,714,717,718,721,724,729,730,734,735,746,747,748,
764,765,770,771,778,779,780,787,792,793,802,818,819,820,821,822,823,826,827,
848,849,850,852,855,860,861,865,869,875,876,877,885,886,889,890,897,898,904,
905,910,911,916,917,918,919,924,925,926,929,930,934,935,939,940,941,942,949,
952,953,966,967,968,975,976,977,979,980,981,982,983,984,985,989,990,993,994,
1014,1019,1020,1025,1026,1031,1044,1045,1046,1049,1050,1067,1068,1073,1074,
1077,1078,1079,1080,1088,1108,1111,1116,1123,1131,1132,1133,1134,1135,1136,
1147,1149,1150,1153,1154,1169,1170,1171,1172,1175,1176,1179,1180,1181,1182,
1194,1195,1210,1211,1214,1215,1216,1223,1224,1229,1234,1237,1238,1243,1244,
1245,1250,1251,1252,1253,1254,1255,1256,1257,1258,1259,1260,1261,1264,1273,
1274,1287,1288,1292,1297,1312,1313,1318,1331,1333,1334,1335,1336,1337,1338,
1339,1340,1341,1342,1352,1353,1354,1356,1359,1360,1361,1362,1363,1364,1371,
1372,1373,1374,1377,1378,1385,1386,1389,1390,1393,1394,1426,1432,1435,1436,
1437,1438,1439,1455,1459,1460,1467,1473,1474,1475,1476,1477,1478,1479,1484,
1486,1487,1488,1489,1490,1495,1502,1503,1506,1507,1514,1515,1524,1525,1526,
1527,1536,1537,1540,1541,1542,1543,1551,1553,1554,1560,1561,1576,1577,1582,
1592,1593,1598,1603,1604,1627,1628,1629,1636,1637,1639,1640,1641,1659,1660,
1661,1665,1666,1667,1668,1672,1673,1678,1680,1681,1684,1685,1696,1697],[1,2,3,
4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,
32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,
58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,
84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,
107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,
126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,
145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,
164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,
183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,
202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,
221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,
240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,
259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,
278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,
297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,
316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,
335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,
354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,
373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,
392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,
411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,
430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,
449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,
468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,
487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,
506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,
525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,
544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,
563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,
582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,
601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,
620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,
639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,
658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,
677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,
696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,
715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,
734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,
753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,
772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,
791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,
810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,
829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,
848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,
867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,
886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,
905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,
924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,
943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,
962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,
981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,
1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,
1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,
1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,
1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,
1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,
1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,
1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,
1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,
1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,
1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,
1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,
1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,
1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,
1195,1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,
1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,
1225,1226,1227,1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,
1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,
1255,1256,1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,
1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,
1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,
1300,1301,1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,
1315,1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,
1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,
1345,1346,1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,
1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,
1375,1376,1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,
1390,1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,
1405,1406,1407,1408,1409,1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,
1420,1421,1422,1423,1424,1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,
1435,1436,1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,
1450,1451,1452,1453,1454,1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,
1465,1466,1467,1468,1469,1470,1471,1472,1473,1474,1475,1476,1477,1478,1479,
1480,1481,1482,1483,1484,1485,1486,1487,1488,1489,1490,1491,1492,1493,1494,
1495,1496,1497,1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,
1510,1511,1512,1513,1514,1515,1516,1517,1518,1519,1520,1521,1522,1523,1524,
1525,1526,1527,1528,1529,1530,1531,1532,1533,1534,1535,1536,1537,1538,1539,
1540,1541,1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,
1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,
1570,1571,1572,1573,1574,1575,1576,1577,1578,1579,1580,1581,1582,1583,1584,
1585,1586,1587,1588,1589,1590,1591,1592,1593,1594,1595,1596,1597,1598,1599,
1600,1601,1602,1603,1604,1605,1606,1607,1608,1609,1610,1611,1612,1613,1614,
1615,1616,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,
1630,1631,1632,1633,1634,1635,1636,1637,1638,1639,1640,1641,1642,1643,1644,
1645,1646,1647,1648,1649,1650,1651,1652,1653,1654,1655,1656,1657,1658,1659,
1660,1661,1662,1663,1664,1665,1666,1667,1668,1669,1670,1671,1672,1673,1674,
1675,1676,1677,1678,1679,1680,1681,1682,1683,1684,1685,1686,1687,1688,1689,
1690,1691,1692,1693,1694,1695,1696,1697,1698]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,3,1],[1,3,1],[1,3,1],[1,3,
1],[1,2,1,1],[1,1,2,1],[1,1,1],[1,1,1],[1,1,1],[1,1],[1,3,1,1],[1,3,1,1],[1,3,
1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,1],[1,1],[1,1],[1,7,3,4,1],[1,7,3,4,1],[
1,4,3,1,6,1],[1,4,3,1,6,1],[1,7,7,1],[1,7,7,1],[1,7,1,6,1],[1,7,1,6,1],[1,4,3,
1,3,3,1],[1,2,5,1,1,1,4,1],[1,6,1,4,3,1],[1,2,5,2,1,4,1],[1,2,5,2,1,4,1],[1,1,
6,1,3,3,1],[1,1,6,1,3,3,1],[1,3,4,1,3,3,1],[1,3,4,1,3,3,1],[1,5,1,1,1,1],[1,5,
1,1,1,1],[1,4,1,2,1,1],[1,2,3,1,1,1,1],[1,2,3,1,1,1,1],[1,5,1,1,1,1],[1,5,1,1,
1,1],[1,2,3,1,1,1,1],[1,2,3,1,1,1,1],[1,5,2,1,1],[1,5,2,1,1],[1,3,2,1,1,1,1],[
1,5,1,1,1,1],[1,3,1,2,1],[1,3,1,2,1],[1,3,1,2,1],[1,3,1,2,1],[1,2,1,1,2,1],[1,
2,1,1,2,1],[1,2,1,1,2,1],[1,3,1,2,1],[1,3,1,2,1],[1,2,1,1,2,1],[1,1,2,1,1,1,
1],[1,1,3,1],[1,1,3,1],[1,1,3,1],[1,1,1,1],[1,4,1],[1,1,3,1],[1,5,1,1],[1,5,1,
1],[1,1,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,
4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,3,1,1,
3,1],[1,3,1,1,3,1],[1,3,1,1,3,1],[1,7,1,3,2,1,1],[1,4,3,1,3,1,1,1,1],[1,7,1,3,
2,1,1],[1,7,1,3,2,1,1],[1,1,6,1,3,2,1,1],[1,3,4,1,3,1,1,1,1],[1,1,1,3,1,1],[1,
1,1,3,1,1],[1,1,1,1,1,1],[1,1,1,1,1,1],[1,7,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,
1],[1,15,5,30,15,1],[1,15,5,30,15,1],[1,15,7,28,7,8,1],[1,15,7,28,7,8,1],[1,
12,3,16,1,18,3,12,1],[1,12,3,16,1,18,3,12,1],[1,6,9,2,3,3,9,18,6,9,1],[1,6,9,
3,1,4,15,12,1,3,3,8,1],[1,6,9,1,3,4,15,12,1,3,3,8,1],[1,2,13,1,5,16,1,12,2,2,
1,2,8,1],[1,2,13,5,1,16,1,12,2,2,1,2,8,1],[1,6,9,1,1,6,12,15,1,3,3,2,6,1],[1,
6,9,1,1,6,12,15,1,3,3,2,6,1],[1,4,11,1,2,10,6,16,1,2,4,4,4,1],[1,4,11,2,1,10,
6,16,1,2,4,4,4,1],[1,7,3,4,4,1,6,1],[1,7,3,4,4,1,6,1],[1,4,3,1,6,4,1,2,4,1],[
1,4,3,1,6,4,1,2,4,1],[1,2,5,1,1,1,4,4,1,2,2,2,1],[1,4,3,1,6,4,1,6,1],[1,4,3,1,
6,4,1,6,1],[1,6,1,4,3,4,1,3,3,1],[1,7,3,4,4,1,2,4,1],[1,7,3,4,4,1,2,4,1],[1,2,
5,1,1,1,4,4,1,2,2,2,1],[1,2,5,1,1,1,4,2,2,1,1,1,4,1],[1,2,5,1,1,1,4,2,2,1,1,1,
4,1],[1,4,3,1,3,3,2,2,1,1,1,4,1],[1,3,1,6,3,4,1],[1,3,1,6,3,4,1],[1,3,1,6,3,4,
1],[1,3,1,6,3,4,1],[1,2,1,1,6,1,2,4,1],[1,3,1,6,3,1],[1,3,1,6,3,1],[1,3,1,4,2,
2,1,1],[1,3,1,4,2,2,1,1],[1,3,1,4,2,2,1,1],[1,3,1,4,2,2,1,1],[1,2,1,1,4,2,1,2,
1],[1,2,1,1,4,2,1,2,1],[1,3,1,2,4,1,2,1],[1,3,1,2,4,1,2,1],[1,2,1,1,2,2,2,1,1,
1,1],[1,7,3,4,4,1,2,1],[1,7,3,4,4,1,2,1],[1,7,1,6,4,1,2,1],[1,7,1,6,4,1,2,1],[
1,7,1,6,4,1,2,1],[1,7,1,6,4,1,2,1],[1,4,3,1,6,4,1,2,1],[1,4,3,1,6,4,1,2,1],[1,
2,5,1,1,1,4,4,1,2,1],[1,2,5,1,1,1,4,4,1,2,1],[1,2,5,1,1,1,4,4,1,2,1],[1,2,5,1,
1,1,4,4,1,2,1],[1,4,3,1,6,4,1,2,1],[1,4,3,1,6,4,1,2,1],[1,7,3,4,2,2,1,1,1,1],[
1,7,3,4,2,2,1,1,1,1],[1,2,5,1,1,1,4,2,2,1,1,1,1],[1,2,5,1,1,1,4,2,2,1,1,1,1],[
1,7,1,6,2,2,1,1,1,1],[1,7,1,6,2,2,1,1,1,1],[1,2,5,1,1,1,4,4,1,2,1],[1,2,5,2,1,
4,4,1,2,1],[1,2,5,2,1,4,4,1,2,1],[1,7,1,6,4,1,2,1],[1,7,1,6,4,1,2,1],[1,6,1,4,
3,2,2,1,1,1,1],[1,2,5,2,1,4,2,2,1,1,1,1],[1,2,5,2,1,4,2,2,1,1,1,1],[1,4,3,1,3,
3,2,2,1,1,1,1],[1,4,7,3,4,6,2,1,1,4,1,1],[1,4,7,3,4,6,2,1,1,4,1,1],[1,11,5,8,
2,2,4,1,1],[1,11,5,8,2,2,4,1,1],[1,4,7,1,6,6,2,1,1,4,1,1],[1,4,7,1,6,6,2,1,1,
4,1,1],[1,2,9,3,1,4,1,4,2,1,1,2,2,1,1],[1,2,9,1,3,4,1,4,2,1,1,2,2,1,1],[1,6,5,
1,1,7,4,2,1,1,2,2,1,1],[1,6,5,1,1,7,4,2,1,1,2,2,1,1],[1,10,1,8,5,2,2,4,1,1],[
1,11,3,4,6,2,1,1,4,1,1],[1,11,3,6,4,2,1,1,4,1,1],[1,2,9,2,2,1,8,2,1,1,4,1,1],[
1,4,7,1,2,6,4,2,1,1,2,2,1,1],[1,4,7,1,2,6,4,2,1,1,2,2,1,1],[1,11,3,6,4,2,1,1,
4,1,1],[1,11,3,4,6,2,1,1,4,1,1],[1,2,9,1,3,4,1,4,2,1,1,2,2,1,1],[1,2,9,3,1,4,
1,4,2,1,1,2,2,1,1],[1,8,3,4,1,8,2,1,1,2,2,1,1],[1,8,3,4,1,8,2,1,1,2,2,1,1],[1,
6,5,1,1,11,2,1,1,1,1,1,1,1,1],[1,6,5,4,1,1,3,4,2,1,1,2,2,1,1],[1,6,5,4,2,3,4,
2,1,1,4,1,1],[1,6,5,4,2,3,4,2,1,1,4,1,1],[1,11,1,12,2,1,1,2,2,1,1],[1,11,1,12,
2,1,1,2,2,1,1],[1,2,9,8,1,4,2,1,1,2,2,1,1],[1,2,9,8,1,4,2,1,1,2,2,1,1],[1,8,3,
1,4,5,3,2,1,1,2,2,1,1],[1,3,8,1,3,1,3,5,1,1,1,1,1,1,1,1,1,1],[1,3,8,1,1,3,3,5,
1,1,1,1,1,1,1,1,1,1],[1,1,10,1,1,3,3,5,1,1,1,1,1,1,1,1,1,1],[1,5,6,1,1,6,5,1,
1,1,1,1,1,1,1,1,1],[1,6,1,3,4,3,3,1,1],[1,4,3,1,2,4,1,2,1,1,1,1,1],[1,4,3,1,2,
4,1,2,1,1,1,1,1],[1,7,1,2,4,2,1,1,2,1,1],[1,7,1,2,4,2,1,1,2,1,1],[1,2,5,1,1,1,
4,1,1,1,1,1,1,1,1],[1,2,5,2,1,4,2,1,1,2,1,1],[1,2,5,2,1,4,2,1,1,2,1,1],[1,2,1,
1,2,1,2,1],[1,3,1,2,1,2,1],[1,3,1,2,1,2,1],[1,9,2,2,1,1,1,1,1],[1,5,2,3,1,1,1,
1],[1,5,2,3,1,1,1,1],[1,1,5,1,1,1,1],[1,1],[1,9,4,12,1,1],[1,9,4,12,1,1],[1,9,
1,3,3,9,1,1],[1,1,4,4,1,1],[1,3,4,1,3,1,1],[1,3,1,3,1,3,1,1],[1,3,1,3,1,3,1,
1],[1,3,1,1,3,1],[1,5,5,1,1,1],[1,5,5,1,1,1],[1,6,5,5,1,1,1,1,1],[1,1,10,5,1,
2,1,1],[1,7,1,1],[1,7,1,1],[1,7,1,1],[1,7,1,1],[1,7,1,1],[1,1,1,1],[1,1,1,1],[
1,9,4,3,1,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,9,4,3,1,3,4,3,1,1],[1,9,4,1,3,3,
4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,
1],[1,6,3,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,
9,4,3,1,3,4,3,1,1],[1,9,4,3,1,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,9,4,3,1,3,4,
3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,9,4,4,3,4,3,1,1],[1,9,4,4,3,4,3,1,1],[1,9,4,1,
3,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,
1],[1,4,3,4,1,6,4,1,1,1],[1,4,3,4,1,6,4,1,1,1],[1,6,1,4,4,3,4,1,1,1],[1,7,4,3,
4,4,1,1,1],[1,7,4,3,4,4,1,1,1],[1,3,4,4,1,3,3,4,1,1,1],[1,3,4,4,1,3,3,4,1,1,
1],[1,1,6,4,1,3,3,4,1,1,1],[1,1,6,4,1,3,3,4,1,1,1],[1,7,4,7,4,1,1,1],[1,7,4,7,
4,1,1,1],[1,4,3,4,1,3,3,4,1,1,1],[1,7,4,1,6,4,1,1,1],[1,7,4,1,6,4,1,1,1],[1,6,
9,1,1,9,9,1,3,3,3,1,3,3,1],[1,3,12,1,1,9,9,1,3,3,3,1,3,3,1],[1,3,12,1,1,9,9,1,
3,3,3,1,3,3,1],[1,12,3,1,10,9,3,1,3,3,1,3,3,1],[1,9,1,1,3,3,2,3,3,1,1,1,1],[1,
9,1,1,3,3,2,3,3,1,1,1,1],[1,9,1,1,3,3,2,3,3,1,1,1,1],[1,3,6,1,1,3,3,2,3,3,1,1,
1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,5,1,1,1,1,5,1,1,1,1,
1],[1,5,1,1,1,1,5,1,1,1,1,1],[1,4,3,1,3,4,1,1,1,3,1,1,1,1],[1,3,4,1,3,1,3,1,1,
1,3,1,1,1,1],[1,7,6,1,3,3,1,2,2,1,3,1,1,1,1],[1,13,1,3,3,1,4,1,3,1,1,1,1],[1,
6,1],[1,7,6,2,2,1],[1,3,1,1,3,1],[1,3,1,1,3,1],[1,1,1,1,1,1],[1,3,1,1,1,3,1,
1],[1,5,1,1,5,1,1,1],[1,15,1,1,5,3,1,1],[1,6,25,15,5,60,15,60,10,20,15,30,60,
20,1,15,15,1],[1,6,25,5,15,60,15,60,10,20,15,30,60,20,1,15,15,1],[1,10,21,2,9,
3,36,39,66,3,7,6,14,15,30,32,48,1,3,3,12,12,1],[1,10,21,2,3,9,36,39,66,3,7,6,
14,15,30,32,48,1,3,3,12,12,1],[1,6,17,1,7,28,15,12,4,7,3,8,3,8,4,12,6,1,1,1,6,
6,1],[1,6,17,7,1,28,15,12,4,7,3,8,3,8,4,12,6,1,1,1,6,6,1],[1,10,13,3,3,4,4,29,
20,4,1,1,3,3,5,8,8,4,4,4,4,2,2,2,1,1,1,2,2,2,2,4,1],[1,14,9,16,1,3,4,27,12,4,
1,5,3,12,8,4,8,4,2,4,1,1,1,2,2,4,4,1],[1,14,9,16,3,1,4,27,12,4,1,5,3,12,8,4,4,
8,2,4,1,1,1,2,2,4,4,1],[1,6,17,5,3,16,4,15,20,4,2,1,3,2,3,2,8,8,8,8,2,2,2,1,1,
1,2,2,4,4,1],[1,6,17,3,5,4,16,15,20,4,1,2,3,2,3,2,8,8,8,8,2,2,2,1,1,1,2,2,4,4,
1],[1,2,21,5,5,16,16,1,20,4,2,2,2,2,1,2,2,8,8,16,2,2,2,1,1,1,4,4,4,1],[1,14,9,
1,16,1,6,24,15,4,3,3,12,3,2,6,4,12,6,1,1,1,6,6,1],[1,14,9,1,16,1,6,24,15,4,3,
3,12,3,2,6,4,12,6,1,1,1,6,6,1],[1,18,5,28,1,1,33,4,3,3,23,1,9,3,3,3,3,1,1,1,3,
3,3,3,1],[1,2,21,9,1,40,1,12,4,8,8,2,1,2,8,4,4,8,2,4,1,1,1,2,2,4,4,1],[1,2,21,
1,9,40,1,12,4,8,8,2,1,2,8,4,4,8,2,4,1,1,1,2,2,4,4,1],[1,4,19,5,2,16,10,6,24,2,
2,2,2,1,2,2,4,8,4,4,2,2,4,2,2,4,1,1,4,1,1,1,1,1,1,1,4,4,1],[1,4,19,2,5,10,16,
6,24,2,2,2,1,2,2,4,2,4,8,4,2,2,2,4,2,4,1,1,4,1,1,1,1,1,1,1,4,4,1],[1,8,15,2,3,
10,4,20,24,2,2,1,3,1,4,4,4,4,8,2,2,2,2,4,4,1,1,4,1,1,1,1,1,1,1,4,4,1],[1,8,15,
3,2,4,10,20,24,2,2,1,3,1,4,4,4,8,4,2,2,2,4,2,4,1,1,4,1,1,1,1,1,1,1,4,4,1],[1,
8,15,1,1,1,6,6,21,27,2,2,1,1,5,3,3,2,2,6,6,1,1,1,1,2,2,2,2,4,1,1,4,1,1,1,1,1,
1,1,2,2,2,2,1],[1,10,9,2,3,3,15,18,6,1,6,9,6,6,3,1,3,3,1],[1,10,9,2,3,3,15,18,
6,1,6,9,6,6,3,1,3,3,1],[1,4,15,5,30,6,6,1,15,12,3,1,3,3,1],[1,4,15,5,30,6,6,1,
15,12,3,1,3,3,1],[1,12,7,16,1,6,18,6,3,1,12,12,3,1,3,3,1],[1,12,7,16,1,6,18,6,
3,1,12,12,3,1,3,3,1],[1,6,13,2,5,3,4,9,18,2,4,1,6,9,2,2,4,4,1,2,1,1,2,1,2,1],[
1,6,13,2,3,5,4,9,18,2,4,1,6,9,2,2,4,4,1,2,1,1,2,1,2,1],[1,4,15,2,3,10,4,6,16,
6,1,1,2,4,4,4,4,4,4,3,1,1,2,1,2,1],[1,4,15,3,2,4,10,6,16,6,1,1,2,4,4,4,4,4,4,
3,1,1,2,1,2,1],[1,19,7,6,28,4,2,7,8,1,4,8,2,1,1,1,2,1,2,1],[1,19,7,28,6,4,2,7,
8,1,4,8,2,1,1,1,2,1,2,1],[1,2,17,3,5,4,16,1,12,6,1,2,2,1,2,8,2,2,8,3,1,2,1,1,
2,1],[1,2,17,5,3,16,4,1,12,6,2,1,2,1,2,8,2,2,8,3,1,2,1,1,2,1],[1,2,17,1,7,20,
1,12,2,4,3,2,1,2,8,2,2,8,1,2,1,1,2,2,1,1],[1,2,17,7,1,20,1,12,2,4,3,2,1,2,8,2,
2,8,1,2,1,1,2,2,1,1],[1,8,11,1,2,10,12,16,4,2,1,1,2,4,4,4,4,4,4,2,1,1,1,2,1,2,
1],[1,8,11,2,1,10,12,16,4,2,1,1,2,4,4,4,4,4,4,2,1,1,1,2,1,2,1],[1,6,13,1,5,16,
7,12,2,4,2,1,2,1,2,8,2,2,8,1,2,1,1,2,2,1,1],[1,6,13,5,1,16,7,12,2,4,2,1,2,1,2,
8,2,2,8,1,2,1,1,2,2,1,1],[1,6,13,1,5,16,7,12,6,2,1,2,1,2,8,2,8,2,3,1,2,1,2,1,
1],[1,6,13,5,1,16,7,12,6,2,1,2,1,2,8,2,2,8,3,1,2,1,2,1,1],[1,19,7,4,30,4,2,1,
15,4,8,2,1,1,1,2,1,2,1],[1,19,7,30,4,4,2,1,15,4,8,2,1,1,1,2,1,2,1],[1,19,5,36,
6,1,15,6,6,3,1,3,3,1],[1,19,5,36,6,1,15,6,6,3,1,3,3,1],[1,6,13,4,1,5,16,3,12,
4,2,2,2,1,1,2,8,2,2,8,1,2,1,1,2,1,2,1],[1,6,13,4,5,1,16,3,12,4,2,2,2,1,1,2,8,
2,2,8,1,2,1,1,2,1,2,1],[1,12,7,16,1,2,18,4,4,2,3,12,1,2,2,8,1,2,1,1,2,1,2,1],[
1,12,7,16,1,2,18,4,4,2,3,12,1,2,2,8,1,2,1,1,2,1,2,1],[1,6,13,1,5,8,15,12,2,4,
2,3,3,8,4,2,2,4,1,2,1,1,1,1,1,1,1,1],[1,6,13,5,1,8,15,12,2,4,2,3,3,8,4,2,2,4,
1,2,1,1,1,1,1,1,1,1],[1,2,17,5,3,16,4,1,12,2,4,2,1,2,1,2,8,2,4,2,4,1,2,1,1,1,
1,1,1,1,1],[1,2,17,3,5,4,16,1,12,2,4,1,2,2,1,2,8,4,2,2,4,1,2,1,1,1,1,1,1,1,
1],[1,10,9,2,4,3,3,11,18,4,2,6,9,1,4,2,2,4,1,2,1,1,2,1,2,1],[1,4,15,2,3,10,4,
6,16,4,2,1,1,2,4,4,4,2,2,2,2,4,2,1,1,1,1,1,1,1,1,1],[1,4,15,3,2,4,10,6,16,4,2,
1,1,2,4,4,4,2,2,2,2,4,2,1,1,1,1,1,1,1,1,1],[1,10,9,1,4,1,6,14,15,4,2,1,3,1,3,
2,6,2,2,2,6,1,2,1,1,1,1,1,1,1,1],[1,10,9,1,4,1,6,14,15,4,2,1,3,1,3,2,6,2,2,2,
6,1,2,1,1,1,1,1,1,1,1],[1,4,15,1,2,16,6,16,6,1,1,2,4,4,4,2,4,6,3,1,2,1,1,2,
1],[1,4,15,2,1,16,6,16,6,1,1,2,4,4,4,2,4,6,3,1,2,1,1,2,1],[1,19,7,6,12,6,3,1,
12,12,3,1,3,3,1],[1,19,7,12,6,6,3,1,12,12,3,1,3,3,1],[1,4,15,5,8,6,6,4,2,2,1,
1,8,4,4,8,2,1,1,2,1,1,2,1],[1,4,15,5,6,8,6,4,2,2,1,1,8,4,4,8,2,1,1,2,1,1,2,
1],[1,10,9,8,2,2,5,8,4,2,2,1,1,4,16,4,1,2,1,1,1,2,2,1],[1,6,9,1,3,4,15,12,8,1,
3,3,8,4,8,1,2,2,2,1],[1,6,9,3,1,4,15,12,8,1,3,3,8,4,8,1,2,2,2,1],[1,6,9,1,3,4,
15,12,8,1,3,3,8,4,8,1,2,2,2,1],[1,6,9,3,1,4,15,12,8,1,3,3,8,4,8,1,2,2,2,1],[1,
6,9,1,3,4,15,12,4,4,1,3,3,8,2,2,8,1,2,1,1,2,1],[1,6,9,3,1,4,15,12,4,4,1,3,3,8,
2,2,8,1,2,1,1,2,1],[1,6,9,3,1,4,15,12,8,1,3,3,8,12,1,2,2,2,1],[1,6,9,1,3,4,15,
12,8,1,3,3,8,12,1,2,2,2,1],[1,2,13,5,1,16,1,12,4,4,2,2,1,2,8,2,2,8,1,2,1,1,2,
1],[1,2,13,1,5,16,1,12,4,4,2,2,1,2,8,2,2,8,1,2,1,1,2,1],[1,2,13,5,1,16,1,12,4,
4,2,2,1,2,8,6,2,4,1,1,1,2,2,1],[1,2,13,1,5,16,1,12,4,4,2,2,1,2,8,6,2,4,1,1,1,
2,2,1],[1,4,11,2,1,10,6,16,6,2,1,2,4,4,4,3,2,1,2,4,1,1,1,1,1,1,1,1],[1,4,11,1,
2,10,6,16,6,2,1,2,4,4,4,2,3,1,2,4,1,1,1,1,1,1,1,1],[1,4,11,1,2,10,6,16,2,6,1,
2,4,4,4,1,2,3,2,4,1,1,1,1,1,1,1,1],[1,4,11,2,1,10,6,16,2,6,1,2,4,4,4,1,3,2,2,
4,1,1,1,1,1,1,1,1],[1,6,9,1,1,6,12,15,4,4,1,3,3,2,6,2,4,6,1,1,1,2,2,1],[1,6,9,
1,1,6,12,15,4,4,1,3,3,2,6,2,4,6,1,1,1,2,2,1],[1,2,13,1,5,16,1,12,8,2,2,1,2,8,
4,8,1,2,2,2,1],[1,2,13,5,1,16,1,12,8,2,2,1,2,8,4,8,1,2,2,2,1],[1,6,9,2,3,3,9,
18,4,4,6,9,2,2,2,2,2,2,16,1,1,1,4,4,4,1],[1,6,13,4,3,3,4,4,3,12,6,1,1,3,1,6,6,
6,3,3,3,2,3,3,3,6,1],[1,19,3,26,4,6,1,2,3,12,6,3,6,2,3,6,6,1],[1,19,3,4,26,6,
1,2,3,12,6,3,6,2,3,6,6,1],[1,14,5,12,1,1,15,4,6,1,1,1,3,10,4,4,1,1,2,5,2,1,1,
2,2,2,1,2,2,2,1],[1,4,15,1,18,6,8,6,1,2,1,2,4,8,6,1,2,6,2,1,2,2,4,2,4,1],[1,4,
15,1,18,6,8,6,1,2,1,2,4,8,6,1,2,6,2,1,2,2,4,2,4,1],[1,10,9,4,3,1,4,17,4,6,1,2,
1,1,1,2,4,2,10,1,3,2,3,2,2,1,1,2,2,1,4,2,1],[1,10,9,4,1,3,4,17,4,6,1,1,2,1,1,
2,4,10,2,3,1,2,3,2,2,1,1,2,2,1,4,2,1],[1,7,1,6,6,6,1,3,3,1,3,3,1],[1,7,1,6,6,
6,1,3,3,1,3,3,1],[1,7,1,6,6,6,1,3,3,1,1,2,1,1,1,1],[1,7,1,6,6,6,1,3,3,1,1,2,1,
1,1,1],[1,2,5,1,1,1,4,8,4,1,4,2,2,2,1,2,2,1,1,1],[1,2,5,1,1,1,4,8,4,1,2,4,2,2,
1,2,2,1,1,1],[1,2,5,1,1,1,4,4,8,1,2,4,2,2,1,1,1,2,2,1],[1,2,5,1,1,1,4,4,8,1,2,
2,4,2,1,1,1,2,2,1],[1,2,5,1,1,1,4,8,4,1,2,2,2,4,1,2,2,2,1],[1,11,3,6,4,8,2,1,
1,4,8,1,1,2,1,2,1,1],[1,11,3,4,6,8,2,1,1,4,8,1,1,2,1,2,1,1],[1,2,9,3,1,4,1,4,
6,4,1,1,2,2,3,2,2,2,1,2,1,2,1,1],[1,2,9,1,3,4,1,4,6,4,1,1,2,2,3,2,2,2,1,2,1,2,
1,1],[1,2,9,3,1,4,1,4,6,4,1,1,2,2,2,3,2,2,1,1,1,1,1,1,1,1],[1,2,9,1,3,4,1,4,6,
4,1,1,2,2,3,2,2,2,1,1,1,1,1,1,1,1],[1,4,7,1,6,6,4,6,1,1,4,2,3,4,1,2,1,2,1,1],[
1,4,7,1,6,6,4,6,1,1,4,2,3,4,1,2,1,2,1,1],[1,6,5,1,1,7,4,2,8,1,1,2,2,1,2,4,2,1,
2,2,1,1,1],[1,6,5,1,1,7,4,2,8,1,1,2,2,1,4,2,2,1,2,2,1,1,1],[1,11,3,6,4,4,6,1,
1,4,2,3,4,1,1,1,1,1,1,1,1],[1,11,3,4,6,4,6,1,1,4,2,3,4,1,1,1,1,1,1,1,1],[1,6,
5,4,1,1,3,4,4,2,4,1,1,2,2,2,2,2,1,2,1,2,1,2,1,1],[1,4,7,1,2,6,4,4,4,2,1,1,2,2,
2,1,4,2,1,2,1,2,1,1],[1,4,7,1,2,6,4,4,4,2,1,1,2,2,2,1,4,2,1,2,1,2,1,1],[1,4,7,
1,6,6,10,1,1,4,5,4,1,1,2,2,1,1],[1,4,7,1,6,6,10,1,1,4,5,4,1,1,2,2,1,1],[1,11,
3,4,6,4,6,1,1,4,2,3,4,1,1,2,2,1,1],[1,11,3,6,4,4,6,1,1,4,2,3,4,1,1,2,2,1,1],[
1,11,3,4,6,8,2,1,1,4,4,1,4,1,1,1,1,1,1,1,1],[1,11,3,6,4,8,2,1,1,4,4,1,4,1,1,1,
1,1,1,1,1],[1,2,9,2,2,1,8,4,6,1,1,4,1,2,2,4,1,1,2,2,1,1],[1,6,9,1,3,4,7,4,8,1,
1,1,2,2,6,2,8,2,2,4,4,1,1,1,1,1,1,1,4,4,1],[1,6,9,3,1,4,7,4,8,1,1,1,2,2,2,6,2,
8,2,4,4,1,1,1,1,1,1,1,4,4,1],[1,2,13,1,5,8,1,4,8,2,1,4,4,4,4,2,2,8,4,2,1,1,1,
2,4,4,1],[1,2,13,5,1,8,1,4,8,2,1,4,4,4,2,4,2,8,4,2,1,1,1,2,4,4,1],[1,10,5,8,1,
1,5,4,8,1,2,4,4,4,2,2,6,6,4,1,2,1,1,2,4,4,1],[1,10,5,4,1,1,13,8,1,1,1,1,5,3,3,
2,2,3,9,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,4,3,1,3,3,6,6,1,3,3,12,3,1],[1,6,5,1,1,
3,10,1,3,3,3,3,3,3,6,10,1,1,3,1,3,3,3,1],[1,12,3,1,8,7,3,4,2,2,1,2,4,4,4,1,1,
2,4,1,1,2,1,2,1],[1,2,13,1,5,8,1,4,4,4,2,1,2,2,2,2,4,2,2,4,1,1,1,1,1,1,1,1],[
1,2,13,5,1,8,1,4,4,4,2,1,2,2,2,2,4,2,2,4,1,1,1,1,1,1,1,1],[1,4,11,3,6,4,6,6,2,
1,1,1,4,4,4,3,1,4,1,1,1,1,1,1,1,1],[1,4,11,3,4,6,6,6,2,1,1,1,4,4,4,3,1,4,1,1,
1,1,1,1,1,1],[1,15,5,6,8,6,2,2,1,4,8,7,1,1,1,1,1,1,2,1],[1,15,5,8,6,6,2,2,1,4,
8,7,1,1,1,1,1,1,2,1],[1,4,11,3,4,6,6,2,6,1,1,1,4,4,4,1,3,4,1,1,1,1,1,1,1,1],[
1,4,11,3,6,4,6,2,6,1,1,1,4,4,4,1,3,4,1,1,1,1,1,1,1,1],[1,15,5,8,6,2,6,2,1,4,4,
4,1,3,4,1,1,1,1,1,1,1,1],[1,15,5,6,8,2,6,2,1,4,4,4,1,3,4,1,1,1,1,1,1,1,1],[1,
6,9,1,3,4,7,4,4,4,1,1,1,2,4,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,6,9,3,1,4,7,4,4,4,
1,1,1,2,2,4,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,8,7,4,1,2,8,4,4,2,2,1,1,1,2,2,2,2,4,
1,1,6,1,1,1,1,1,1,1,1],[1,8,7,4,1,2,8,4,4,2,2,1,1,1,2,2,2,2,4,1,1,6,1,1,1,1,1,
1,1,1],[1,6,9,4,2,2,3,8,4,4,1,1,1,8,4,3,3,2,1,1,1,1,1,1,1,1],[1,6,5,1,1,7,4,6,
4,1,1,2,2,3,2,4,4,1,1,1,1,1,1,1,1],[1,6,5,1,1,7,4,6,4,1,1,2,2,3,2,4,4,1,1,1,1,
1,1,1,1],[1,2,9,1,3,4,1,4,6,4,1,1,2,2,7,2,4,1,1,1,1,1,1,1,1],[1,2,9,3,1,4,1,4,
6,4,1,1,2,2,7,2,4,1,1,1,1,1,1,1,1],[1,2,9,1,3,4,1,4,6,4,1,1,2,2,3,2,4,4,1,1,1,
1,1,1,1,1],[1,2,9,3,1,4,1,4,6,4,1,1,2,2,3,2,4,4,1,1,1,1,1,1,1,1],[1,2,9,1,3,4,
1,4,2,8,1,1,2,2,1,4,4,4,1,1,1,1,1,1,1,1],[1,2,9,3,1,4,1,4,2,8,1,1,2,2,1,4,4,4,
1,1,1,1,1,1,1,1],[1,6,5,1,1,11,8,2,1,1,1,1,1,1,1,12,1,1,1,1,1,1,1,1],[1,8,3,1,
4,5,3,4,4,2,1,1,2,2,1,3,3,2,4,1,1,1,1,1,1,1,1],[1,2,9,1,3,4,1,4,4,2,4,1,1,2,2,
1,2,2,1,1,1,1],[1,2,9,3,1,4,1,4,4,2,4,1,1,2,2,1,2,2,1,1,1,1],[1,6,5,4,1,1,3,4,
6,4,1,1,2,2,2,2,1,1,1,1,1],[1,6,5,4,1,1,3,4,6,4,1,1,2,2,2,2,1,1,1,1,1],[1,6,5,
1,1,7,4,4,2,4,1,1,2,2,1,2,2,1,1,1,1],[1,6,5,1,1,7,4,4,2,4,1,1,2,2,1,2,2,1,1,1,
1],[1,4,7,1,6,6,8,2,1,1,4,1,4,2,1,1],[1,4,7,1,6,6,8,2,1,1,4,1,4,2,1,1],[1,6,5,
4,1,1,3,4,10,1,1,2,2,2,2,1,1,1,1,1],[1,4,7,1,6,6,10,1,1,4,1,4,2,1,1],[1,4,7,1,
6,6,10,1,1,4,1,4,2,1,1],[1,6,5,1,1,7,4,4,6,1,1,2,2,2,1,2,1,1,1,1],[1,6,5,1,1,
7,4,4,6,1,1,2,2,1,2,2,1,1,1,1],[1,6,5,4,1,1,3,4,2,8,1,1,2,2,2,2,1,1,1,1,1],[1,
11,3,6,4,8,2,1,1,4,4,1,2,1,1],[1,11,3,4,6,8,2,1,1,4,4,1,2,1,1],[1,11,3,6,4,10,
1,1,4,1,4,2,1,1],[1,11,3,4,6,10,1,1,4,1,4,2,1,1],[1,11,1,12,10,1,1,2,2,2,3,1,
1,1,1],[1,11,1,12,10,1,1,2,2,2,3,1,1,1,1],[1,2,9,3,1,4,1,4,4,6,1,1,2,2,2,1,2,
1,1,1,1],[1,2,9,1,3,4,1,4,4,6,1,1,2,2,1,2,2,1,1,1,1],[1,4,7,1,2,6,4,4,6,1,1,2,
2,2,1,2,1,1,1,1],[1,4,7,1,2,6,4,4,6,1,1,2,2,2,1,2,1,1,1,1],[1,11,1,12,4,6,1,1,
2,2,2,3,1,1,1,1],[1,11,1,12,4,6,1,1,2,2,2,3,1,1,1,1],[1,2,9,2,2,1,8,2,8,1,1,4,
1,4,2,1,1],[1,2,9,2,2,1,8,2,8,1,1,4,1,4,2,1,1],[1,2,5,1,1,1,4,8,4,1,4,2,4,4,1,
1,2,1,1,1,1],[1,2,5,1,1,1,4,8,4,1,4,2,4,4,1,1,2,1,1,1,1],[1,2,5,1,1,1,4,4,8,1,
2,4,4,4,1,1,1,2,1,1,1],[1,2,5,1,1,1,4,4,8,1,2,4,4,4,1,1,1,2,1,1,1],[1,4,3,1,3,
3,4,6,2,1,1,1,2,2,4,4,1,1,1,2,2,1],[1,11,3,6,4,2,1,1,4,1,4,1,2,1],[1,11,3,4,6,
2,1,1,4,1,4,1,2,1],[1,4,7,1,6,6,2,1,1,4,1,4,1,2,1],[1,4,7,1,6,6,2,1,1,4,1,4,1,
2,1],[1,2,5,1,1,1,4,4,1,2,2,2,4,1,2,2,2,1],[1,7,1,2,8,2,1,3,2,1,2,1,1,1,1],[1,
7,1,2,8,2,1,3,2,1,2,1,1,1,1],[1,7,1,2,4,4,2,1,2,1,2,1,2,1,1,1,1],[1,7,1,2,4,4,
2,1,2,1,2,1,2,1,1,1,1],[1,7,1,2,8,2,1,3,2,4,1,2,1,1,1,2,2,1],[1,7,1,2,8,2,1,3,
2,1,4,2,1,1,1,2,2,1],[1,15,5,2,8,4,2,2,4,1,1,2,1,2,1,1,1,2,2,1],[1,15,5,8,2,4,
2,2,1,4,1,2,1,2,1,1,1,2,2,1],[1,4,3,1,3,3,2,2,1,1,1,4,4,1,2,1],[1,2,9,2,2,1,6,
2,2,1,1,1,2,2,1,1,2,1,1,1,1,1,1,1,1],[1,17,1,1],[1,3,4,1,12,1,4,3,1],[1,10,9,
4,9,12,12,4,1,12,1,1,1,1],[1,1,18,4,9,24,4,1,12,2,1,1],[1,3,13,1,3,4,3,1,1],[
1,3,1,12,1,3,4,3,1,1],[1,3,1,12,1,3,4,1,2,1,1],[1,3,4,9,1,3,4,1,2,1,1],[1,3,4,
9,1,3,4,1,2,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,15,4,9,14,6,1,6,1,2,
1],[1,6,9,4,9,2,12,6,1,6,1,2,1],[1,3,12,1,3,9,1,4,9,3,3,1,3,3,1,1,1,1],[1,7,4,
3,2,10,1,3,1,1,2,1],[1,1,4,3,4,1,1,3,1,1],[1,8,15,1,15,15,1,5,1,3,3,1,3,3,1],[
1,6,5,5,10,1,5,1,1,1,2,1,1],[1,6,5,5,10,1,5,1,1,1,2,1,1],[1,1,7,7,1,1,1,1],[1,
1,7,7,1,1,1,1],[1,3,1,1,1,3,1,1],[1,21,1,7,1,3,1,1],[1,7,7,7,1,1,1,1],[1,15,
16,5,30,15,20,1,1],[1,15,16,5,30,15,20,1,1],[1,6,9,16,2,3,3,9,18,6,9,8,12,1,
1],[1,6,9,16,2,3,3,9,18,6,9,8,12,1,1],[1,15,16,5,30,15,8,12,1,1],[1,15,16,5,
30,15,8,12,1,1],[1,12,3,16,16,1,18,3,12,16,4,1,1],[1,12,3,16,16,1,18,3,12,16,
4,1,1],[1,12,3,4,16,1,18,12,3,12,1,4,1,3,1],[1,12,3,4,16,1,18,12,3,12,1,4,1,3,
1],[1,12,3,4,16,1,18,12,3,12,1,4,1,3,1],[1,12,3,4,16,1,18,12,3,12,1,4,1,3,1],[
1,15,4,5,30,12,15,1,4,1,3,1],[1,15,4,5,30,12,15,1,4,1,3,1],[1,6,9,4,2,3,3,9,
18,12,6,9,1,4,1,3,1],[1,6,9,4,1,1,6,12,15,12,1,3,3,2,6,1,4,1,1,2,1],[1,6,9,4,
1,1,6,12,15,12,1,3,3,2,6,1,4,1,1,2,1],[1,6,9,4,1,3,4,15,12,12,1,3,3,8,1,4,1,1,
2,1],[1,6,9,4,3,1,4,15,12,12,1,3,3,8,1,4,1,1,2,1],[1,15,4,7,28,12,7,8,1,4,1,1,
2,1],[1,15,4,7,28,12,7,8,1,4,1,1,2,1],[1,3,16,1,6,3,4,1,1],[1,3,16,1,6,3,4,1,
1],[1,16,3,4,12,1,12,6,8,4,1,3,6,6,3,1,4,3,2,1,1],[1,16,3,4,12,1,12,6,8,4,1,3,
6,6,3,1,4,3,2,1,1],[1,12,7,4,3,4,9,9,6,4,4,4,3,1,6,6,3,1,4,3,1,1,1,1],[1,10,9,
4,1,3,21,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,10,9,4,3,1,21,6,4,4,4,3,1,3,
3,3,3,3,1,4,3,1,1,1,1],[1,6,13,4,3,3,4,3,12,6,4,4,4,1,3,6,6,3,1,4,3,1,1,1,1],[
1,6,13,4,3,3,4,3,12,6,4,4,4,1,3,6,6,3,1,4,3,1,1,1,1],[1,4,15,4,1,6,6,12,6,8,4,
1,3,6,6,3,1,4,3,2,1,1],[1,4,15,4,1,6,6,12,6,8,4,1,3,6,6,3,1,4,3,2,1,1],[1,6,
13,4,4,6,3,12,6,8,4,1,3,12,3,1,4,3,2,1,1],[1,6,13,4,4,6,3,12,6,8,4,1,3,12,3,1,
4,3,2,1,1],[1,19,4,9,16,6,8,4,4,12,3,1,4,3,2,1,1],[1,19,4,9,16,6,8,4,4,12,3,1,
4,3,2,1,1],[1,19,4,3,4,18,6,8,4,1,3,12,3,1,4,3,2,1,1],[1,19,4,3,18,4,6,8,4,1,
3,12,3,1,4,3,2,1,1],[1,16,3,4,1,12,9,3,6,8,4,1,3,6,6,3,1,4,3,2,1,1],[1,19,4,3,
22,6,8,4,1,3,6,6,3,1,4,3,1,1,1,1],[1,19,4,3,22,6,8,4,1,3,6,6,3,1,4,3,1,1,1,
1],[1,1,18,4,1,3,3,9,9,3,3,8,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,18,4,3,1,9,3,
9,3,3,8,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,7,12,4,1,3,3,9,9,3,3,4,4,4,1,3,3,3,
3,3,3,1,4,3,1,1,1,1],[1,7,12,4,1,3,3,9,9,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,
1],[1,19,4,1,24,6,8,4,3,1,6,6,3,1,4,3,2,1,1],[1,19,4,1,24,6,8,4,3,1,6,6,3,1,4,
3,2,1,1],[1,3,16,4,3,1,9,3,9,3,3,8,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,16,4,3,
9,1,3,9,3,3,8,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,6,13,4,10,3,12,6,4,4,4,1,3,6,
6,3,1,4,3,1,1,1,1],[1,6,13,4,10,3,12,6,4,4,4,1,3,6,6,3,1,4,3,1,1,1,1],[1,9,10,
4,3,1,12,9,3,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,9,10,4,1,3,12,9,3,3,4,4,
4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,4,3,4,1,6,4,4,1,6,1,4,1,1,1],[1,4,3,4,1,6,4,
4,1,6,1,4,1,1,1],[1,6,1,4,4,3,4,4,1,3,3,1,4,1,1,1],[1,7,4,3,4,4,4,1,6,1,4,1,1,
1],[1,7,4,3,4,4,4,1,6,1,4,1,1,1],[1,4,3,4,1,6,12,4,1,6,1,4,3,1,1],[1,4,3,4,1,
6,12,4,1,6,1,4,3,1,1],[1,7,4,3,4,6,6,4,1,3,3,1,4,3,1,1],[1,7,4,3,4,6,6,4,1,3,
3,1,4,3,1,1],[1,6,1,4,4,3,6,6,4,1,3,3,1,4,3,1,1],[1,7,4,1,6,12,4,1,6,1,4,3,1,
1],[1,7,4,1,6,12,4,1,6,1,4,3,1,1],[1,4,3,4,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,1,
4,9,4,1,3,3,4,3,1,1],[1,1,4,9,4,3,1,3,4,3,1,1],[1,3,4,1,6,12,3,4,4,1,1,1],[1,
3,4,1,6,12,3,4,4,1,1,1],[1,3,4,1,6,12,3,4,4,1,1,1],[1,3,4,1,6,12,3,4,4,1,1,
1],[1,13,4,6,3,8,4,3,1,3,4,3,1,1],[1,13,4,6,3,8,4,3,1,3,4,3,1,1],[1,6,1,4,3,4,
4,3,3,1,4,1,1,1],[1,14,9,1,1,10,15,9,4,3,3,5,3,3,4,6,3,1,1,3,5,3,1,1,3,1,1,1,
1,1,1,1,1],[1,3,20,1,1,1,9,9,15,1,3,1,5,5,3,3,1,3,3,3,3,1,1,3,3,5,1,1,3,1,1,1,
1,1,1,1,1],[1,8,1],[1,1,7,1],[1,1,7,1],[1,25,6,30,1,1],[1,5,6,1,5,1,1],[1,9,7,
6,6,6,9,2,2,6,6,1,1],[1,9,7,6,3,9,9,2,2,1,3,1,1],[1,9,7,6,12,9,2,2,1,3,1,1],[
1,7,7,8,1,1],[1,7,7,8,1,1],[1,5,1,1,1,1,1,5,1,1,1,1],[1,15,10,5,6,10,6,5,1],[
1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,3,4,1,
1,3,1,4,1,1],[1,5,1,15,1,5,1,5,1,3,1,1],[1,5,1,5,1,5,1,5,1,1,1,1],[1,8,15,1,
15,1,1,5,5,1,3,3,5,1,3,1,1,1,1],[1,7,15,1,7,1,2,1,1],[1,1,21,1,7,2,1,1,1],[1,
18,45,6,45,15,180,135,270,45,45,90,90,135,270,360,360,6,15,45,135,180,270,18,
45,1],[1,18,45,6,15,45,180,135,270,45,45,90,90,135,270,360,360,6,15,45,135,
180,270,18,45,1],[1,12,15,16,5,30,18,18,3,15,12,36,9,12,1,1,3,3,9,9,9,3,3,9,
1],[1,12,15,16,5,30,18,18,3,15,12,36,9,12,1,1,3,3,9,9,9,3,3,9,1],[1,27,11,30,
28,12,6,7,8,15,12,24,6,3,4,8,1,1,1,2,3,3,3,6,6,3,6,3,3,3,6,1],[1,27,11,28,30,
12,6,7,8,15,12,24,6,3,4,8,1,1,1,2,3,3,3,6,6,3,6,3,3,3,6,1],[1,18,21,2,16,3,9,
36,51,66,12,3,9,6,14,15,12,30,32,48,12,24,12,6,12,1,1,3,3,12,12,3,6,6,6,6,12,
12,1,3,2,6,3,1],[1,18,21,2,16,9,3,36,51,66,12,3,9,6,14,15,12,30,32,48,12,12,
24,6,12,1,1,3,3,12,12,3,6,6,6,6,12,12,1,3,2,6,3,1],[1,10,29,2,3,13,60,39,66,4,
8,9,7,8,6,14,15,30,32,48,4,12,8,8,16,6,4,8,1,1,3,3,12,12,1,2,2,2,4,4,6,4,6,4,
8,8,1,1,2,2,2,4,1,2,1],[1,10,29,2,13,3,60,39,66,4,8,9,7,8,6,14,15,30,32,48,4,
12,8,8,16,6,4,8,1,1,3,3,12,12,1,2,2,2,4,4,6,4,6,4,8,8,1,1,2,2,2,4,1,2,1],[1,6,
33,19,5,84,15,60,12,16,8,20,15,30,60,20,12,12,24,6,12,1,1,15,15,3,6,6,6,6,12,
12,1,3,2,6,3,1],[1,6,33,5,19,84,15,60,12,16,8,20,15,30,60,20,12,12,24,6,12,1,
1,15,15,3,6,6,6,6,12,12,1,3,2,6,3,1],[1,18,21,2,16,3,9,36,51,66,8,4,3,9,6,14,
15,12,30,32,48,8,4,8,4,24,2,4,12,1,1,3,3,12,12,1,2,2,2,4,4,2,2,4,4,12,12,1,1,
2,2,2,4,1,2,1],[1,18,21,2,16,9,3,36,51,66,8,4,3,9,6,14,15,12,30,32,48,8,4,4,8,
24,2,4,12,1,1,3,3,12,12,1,2,2,2,4,4,2,2,4,4,12,12,1,1,2,2,2,4,1,2,1],[1,14,25,
2,9,5,36,4,53,74,8,4,3,1,7,3,6,14,17,30,32,48,8,4,8,4,8,4,4,8,8,4,2,2,2,8,1,3,
1,3,12,12,1,2,2,3,1,4,2,2,2,2,2,4,2,2,4,8,8,1,1,2,1,1,1,2,1,2,1,2,1],[1,14,25,
2,5,9,4,36,53,74,8,4,1,3,3,7,6,14,17,30,32,8,48,4,8,8,4,4,8,4,8,2,4,2,2,8,1,1,
3,3,12,12,1,2,2,3,1,4,2,2,2,2,4,2,2,2,4,8,8,1,1,2,1,1,1,2,1,2,1,2,1],[1,6,33,
15,9,60,16,15,68,8,4,10,2,20,2,15,30,2,60,8,20,4,4,4,8,4,24,4,2,2,2,8,1,1,15,
15,1,2,1,3,2,2,4,2,2,4,6,4,2,8,8,1,1,2,2,2,2,2,1,2,1],[1,6,33,9,15,16,60,15,
68,8,4,2,10,2,20,15,2,30,8,60,20,4,4,8,4,4,24,2,4,2,2,8,1,15,1,15,1,2,1,3,2,2,
4,2,2,4,4,6,2,8,8,1,1,2,2,2,2,2,1,2,1],[1,10,29,2,7,9,16,36,39,74,4,8,2,3,7,2,
6,14,15,2,30,8,32,48,4,4,8,12,12,8,2,2,4,2,8,1,3,3,1,12,12,1,2,2,1,3,4,2,2,2,
2,2,4,2,6,8,8,1,1,2,2,2,2,2,1,2,1],[1,10,29,2,9,7,36,16,39,74,4,8,3,2,7,6,2,
14,15,30,2,32,8,48,4,4,12,8,12,8,2,4,2,2,8,1,3,1,3,12,12,1,2,2,1,3,4,2,2,2,2,
2,4,2,6,8,8,1,1,2,2,2,2,2,1,2,1],[1,10,29,7,15,4,60,29,68,4,8,1,10,3,20,17,30,
60,8,20,4,4,8,4,16,4,8,2,2,4,2,8,1,1,15,15,1,2,3,1,2,2,4,4,2,2,4,2,4,2,8,8,1,
1,2,1,1,1,2,1,2,1,2,1],[1,10,29,15,7,60,4,29,68,4,8,10,1,3,20,17,30,60,20,8,4,
4,4,8,4,16,8,2,4,2,2,8,1,1,15,15,1,2,3,1,2,2,4,4,2,2,4,2,2,4,8,8,1,1,2,1,1,1,
2,1,2,1,2,1],[1,18,21,16,7,3,28,4,57,36,12,7,1,9,3,8,9,12,24,8,12,12,12,36,6,
18,6,12,8,1,1,3,1,3,3,3,2,18,18,6,6,6,12,12,12,24,24,3,3,3,4,12,6,1],[1,18,21,
16,3,7,4,28,57,36,12,1,7,3,9,8,9,12,8,24,12,12,36,12,18,6,6,12,8,1,1,1,3,3,3,
3,2,18,6,18,6,6,12,12,12,24,24,3,3,3,4,12,6,1],[1,6,33,3,13,4,80,15,36,12,1,
14,3,16,6,3,6,24,8,24,24,24,6,6,6,24,8,2,1,3,6,3,2,6,6,6,12,12,24,24,24,24,3,
6,4,12,6,1],[1,6,33,13,3,80,4,15,36,12,14,1,3,16,6,3,6,24,8,24,24,24,6,6,6,24,
8,2,1,3,6,3,2,6,6,6,12,12,24,24,24,24,3,6,4,12,6,1],[1,26,13,48,3,3,4,4,69,20,
12,1,1,7,7,5,44,8,8,4,28,20,20,6,6,10,20,8,2,2,1,1,2,2,1,4,2,4,4,2,2,6,6,10,
16,16,12,12,8,16,16,8,1,2,2,4,8,4,4,2,4,1],[1,10,21,2,9,3,36,39,66,16,3,7,6,
14,15,30,32,48,24,1,3,3,12,12,4,12,12,1,6,1],[1,10,21,2,3,9,36,39,66,16,3,7,6,
14,15,30,32,48,24,1,3,3,12,12,4,12,12,1,6,1],[1,10,21,2,9,3,36,39,66,16,3,7,6,
14,15,30,32,48,8,16,1,3,3,12,12,4,4,4,8,8,1,2,4,1],[1,10,21,2,3,9,36,39,66,16,
3,7,6,14,15,30,32,48,8,16,1,3,3,12,12,4,4,4,8,8,1,2,4,1],[1,6,25,15,5,60,15,
60,4,12,10,20,15,30,60,20,6,6,12,1,15,15,1,3,6,6,6,6,1,3,3,1],[1,6,25,5,15,60,
15,60,4,12,10,20,15,30,60,20,6,6,12,1,15,15,1,3,6,6,6,6,1,3,3,1],[1,10,21,2,9,
3,36,39,66,8,8,3,7,6,14,15,30,32,48,4,8,12,1,3,3,12,12,2,2,2,2,2,2,8,8,1,1,1,
4,1],[1,10,21,2,3,9,36,39,66,8,8,3,7,6,14,15,30,32,48,4,8,12,1,3,3,12,12,2,2,
2,2,2,2,8,8,1,1,1,4,1],[1,27,11,30,12,12,6,3,15,12,12,24,18,3,1,3,1,6,3,3,6,3,
3,6,3,1,2,3,6,1],[1,27,11,12,30,12,6,3,15,12,12,24,18,3,1,3,1,6,3,3,6,3,3,6,3,
1,2,3,6,1],[1,4,23,9,30,8,6,8,10,2,1,15,8,8,12,4,16,4,5,4,8,1,1,2,1,2,4,3,2,1,
2,4,2,1,3,2,4,1,2,1,2,1,2,2,2,2,1],[1,4,23,9,8,30,6,8,10,2,1,15,8,8,12,4,16,4,
5,4,8,1,1,2,1,2,4,3,2,1,2,4,2,1,3,2,4,1,2,1,2,1,2,2,2,2,1],[1,6,9,2,3,3,9,18,
12,12,6,9,6,6,6,6,6,6,48,1,3,3,12,12,12,3,4,1],[1,6,9,3,1,4,15,12,12,12,1,3,3,
8,6,6,24,8,8,1,6,2,2,6,6,3,3,6,3,6,6,1],[1,6,9,1,3,4,15,12,12,12,1,3,3,8,6,6,
24,8,8,1,6,2,2,6,6,3,3,6,3,6,6,1],[1,6,25,5,7,16,28,15,20,12,4,2,7,3,8,2,3,2,
8,8,4,12,8,8,16,10,2,2,2,8,1,1,1,1,2,1,4,2,4,2,4,6,2,6,2,4,4,4,1,1,2,2,1,2,2,
4,1],[1,6,25,7,5,28,16,15,20,12,4,7,2,3,8,2,3,2,8,8,4,12,8,8,16,10,2,2,2,8,1,
1,1,1,2,1,4,2,4,2,4,6,2,6,2,4,4,4,1,1,2,2,1,2,2,4,1],[1,14,17,16,5,3,16,4,27,
20,4,12,2,1,5,2,3,12,2,8,8,4,8,4,8,24,2,6,2,2,4,8,1,1,1,1,2,1,4,6,2,4,2,6,2,2,
4,4,4,4,1,1,2,2,1,2,2,4,1],[1,14,17,16,3,5,4,16,27,20,4,12,1,2,5,2,3,12,2,8,8,
4,4,8,8,24,2,2,6,2,4,8,1,1,1,1,2,1,4,6,2,4,2,6,2,2,4,4,4,4,1,1,2,2,1,2,2,4,
1],[1,2,29,5,9,16,40,1,20,8,8,2,8,8,2,2,1,2,2,8,8,4,8,4,8,24,8,2,4,2,8,1,1,1,
1,1,2,2,2,2,2,4,2,2,2,2,4,6,4,2,4,4,1,1,2,2,1,2,2,2,2,1],[1,2,29,9,5,40,16,1,
20,8,8,8,2,8,2,2,1,2,2,8,8,8,4,4,8,24,2,8,4,2,8,1,1,1,1,1,2,2,2,2,2,4,2,2,2,2,
4,4,6,2,4,4,1,1,2,2,1,2,2,2,2,1],[1,14,17,16,3,5,4,16,27,20,8,4,4,1,2,5,2,3,
12,2,8,8,4,4,8,8,8,16,2,2,2,2,4,12,1,1,1,1,2,1,4,2,2,4,4,2,2,2,2,4,4,4,4,4,1,
1,2,2,1,2,2,4,1],[1,14,17,16,5,3,16,4,27,20,8,4,4,2,1,5,2,3,12,2,8,8,4,8,4,8,
8,16,2,2,2,2,4,12,1,1,1,1,2,1,4,2,2,4,4,2,2,2,2,4,4,4,4,4,1,1,2,2,1,2,2,4,1],[
1,10,21,7,3,20,4,29,28,8,8,3,1,3,3,2,5,2,8,8,8,4,4,4,12,8,8,8,2,4,2,4,2,2,8,1,
1,1,1,1,2,2,2,2,2,1,1,4,2,2,2,2,2,2,2,2,2,4,4,4,1,1,1,1,2,1,1,2,1,2,2,1],[1,
10,21,3,7,4,20,29,28,8,8,1,3,3,3,2,5,2,8,8,8,4,4,12,4,8,8,8,4,2,4,2,2,2,8,1,1,
1,1,1,2,2,2,2,2,1,1,4,2,2,2,2,2,2,2,2,2,4,4,4,1,1,1,1,2,1,1,2,1,2,2,1],[1,6,
17,5,3,16,4,15,20,16,4,2,1,3,2,3,2,8,8,8,8,8,2,2,2,16,1,1,4,1,4,4,2,2,4,4,1,2,
4,1],[1,6,17,3,5,4,16,15,20,16,4,1,2,3,2,3,2,8,8,8,8,8,2,2,2,16,1,1,4,1,4,4,2,
2,4,4,1,2,4,1],[1,6,17,3,5,4,16,15,20,16,4,1,2,3,2,3,2,8,8,8,8,2,2,2,24,1,1,4,
1,4,4,2,2,4,4,1,2,4,1],[1,6,17,5,3,16,4,15,20,16,4,2,1,3,2,3,2,8,8,8,8,2,2,2,
24,1,1,4,1,4,4,2,2,4,4,1,2,4,1],[1,14,9,16,1,3,4,27,12,8,8,4,1,5,3,12,8,4,8,4,
2,2,2,4,12,8,1,1,1,2,2,1,1,2,2,2,2,2,4,4,1,1,1,2,2,1],[1,14,9,16,3,1,4,27,12,
8,8,4,1,5,3,12,8,4,4,8,2,2,2,4,12,8,1,1,1,2,2,1,1,2,2,2,2,2,4,4,1,1,1,2,2,1],[
1,6,17,1,7,28,15,12,8,8,4,7,3,8,3,8,4,12,6,2,2,12,8,1,1,1,2,2,1,1,2,2,2,6,6,1,
1,1,2,2,1],[1,6,17,7,1,28,15,12,8,8,4,7,3,8,3,8,4,12,2,6,2,12,8,1,1,1,2,2,1,1,
2,2,2,6,6,1,1,1,2,2,1],[1,14,9,16,1,3,4,27,12,8,12,1,5,3,12,8,4,8,4,2,2,4,2,4,
8,8,1,1,1,2,2,2,1,2,1,2,2,2,4,4,1,1,1,2,2,1],[1,14,9,16,3,1,4,27,12,8,12,1,5,
3,12,8,4,4,8,2,2,2,4,4,8,8,1,1,1,2,2,2,1,1,2,2,2,2,4,4,1,1,1,2,2,1],[1,6,17,5,
3,16,4,15,20,20,2,1,3,2,3,2,8,8,8,8,2,10,2,16,1,1,4,1,4,4,2,2,4,4,1,2,2,2,1],[
1,6,17,3,5,4,16,15,20,20,1,2,3,2,3,2,8,8,8,8,10,2,2,16,1,1,4,1,4,4,2,2,4,4,1,
2,2,2,1],[1,6,17,3,5,4,16,15,20,8,12,1,2,3,2,3,2,8,8,8,8,2,6,2,8,12,1,1,2,2,1,
2,2,2,2,2,2,4,4,1,1,1,4,1],[1,6,17,5,3,16,4,15,20,8,12,2,1,3,2,3,2,8,8,8,8,6,
2,2,8,12,1,1,2,2,1,2,2,2,2,2,2,4,4,1,1,1,4,1],[1,14,9,16,3,1,4,27,12,16,4,1,5,
3,12,8,4,4,8,2,6,2,12,8,1,1,3,2,2,2,1,1,2,2,2,4,4,1,1,1,2,2,1],[1,14,9,16,1,3,
4,27,12,16,4,1,5,3,12,8,4,8,4,6,2,2,12,8,1,1,3,2,2,1,2,1,2,2,2,4,4,1,1,1,2,2,
1],[1,2,21,5,5,16,16,1,20,4,16,2,2,2,2,1,2,2,8,8,16,2,2,8,2,16,1,1,1,4,4,4,4,
4,4,1,2,4,1],[1,2,21,5,5,16,16,1,20,4,16,2,2,2,2,1,2,2,8,8,16,2,2,8,2,16,1,1,
1,4,4,4,4,4,4,1,2,4,1],[1,10,13,3,3,4,4,29,20,8,4,8,1,1,3,3,5,8,8,4,4,4,4,2,2,
4,2,8,12,1,1,1,2,2,2,2,2,2,2,2,2,2,4,1,1,1,2,2,1],[1,10,13,3,3,4,4,29,20,8,4,
8,1,1,3,3,5,8,8,4,4,4,4,2,2,4,2,8,12,1,1,1,2,2,2,2,2,2,2,2,2,2,4,1,1,1,2,2,
1],[1,10,13,3,3,4,4,29,20,8,12,1,1,3,3,5,8,8,4,4,4,4,6,2,2,8,12,1,1,2,1,2,2,2,
2,2,2,2,2,2,4,1,1,1,2,2,1],[1,10,13,3,3,4,4,29,20,8,12,1,1,3,3,5,8,8,4,4,4,4,
2,6,2,8,12,1,1,2,1,2,2,2,2,2,2,2,2,2,4,1,1,1,2,2,1],[1,2,21,9,1,40,1,12,4,16,
8,8,2,1,2,8,4,4,8,2,2,6,12,8,1,1,3,2,1,1,2,2,2,2,2,4,4,1,1,1,2,2,1],[1,2,21,1,
9,40,1,12,4,16,8,8,2,1,2,8,4,4,8,2,6,2,12,8,1,1,3,2,1,1,2,2,2,2,2,4,4,1,1,1,2,
2,1],[1,10,21,2,9,3,36,39,66,8,8,3,7,6,14,15,30,32,48,4,4,4,4,4,4,32,1,3,3,12,
12,2,2,8,8,8,2,2,2,2,4,4,1,2,2,4,4,2,1],[1,10,21,2,3,9,36,39,66,8,8,3,7,6,14,
15,30,32,48,4,4,4,4,4,4,32,1,3,3,12,12,2,2,8,8,8,2,2,2,2,4,4,1,2,2,4,4,2,1],[
1,10,13,3,3,4,4,29,20,12,8,1,1,3,3,5,8,8,4,4,4,4,2,6,4,2,8,8,16,1,1,2,1,2,4,4,
4,2,2,2,2,4,2,2,2,2,4,1,1,1,2,2,4,4,1],[1,10,13,3,3,4,4,29,20,12,8,1,1,3,3,5,
8,8,4,4,4,4,6,2,4,2,8,8,16,1,1,2,1,2,4,4,4,2,2,2,2,4,2,2,2,2,4,1,1,1,2,2,4,4,
1],[1,10,13,3,3,4,4,29,20,16,4,1,1,3,3,5,8,8,4,4,4,4,2,2,2,40,1,1,1,4,4,4,4,4,
4,4,2,2,2,2,4,1,2,2,2,8,1],[1,6,17,5,3,16,4,15,20,8,12,2,1,3,2,3,2,8,8,8,8,12,
2,6,2,8,16,1,1,2,2,1,4,2,2,4,2,2,4,4,2,2,4,4,1,2,2,2,4,4,1],[1,6,17,3,5,4,16,
15,20,8,12,1,2,3,2,3,2,8,8,8,8,12,6,2,2,8,16,1,1,2,2,1,4,2,2,4,2,2,4,4,2,2,4,
4,1,2,2,2,4,4,1],[1,14,33,2,9,9,36,36,69,114,4,4,3,3,7,7,6,6,22,21,30,30,32,
32,48,48,4,4,4,4,8,8,8,8,16,2,2,2,2,2,2,16,1,3,3,3,3,12,12,12,12,1,1,4,4,4,2,
2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,16,16,16,16,1,1,1,1,1,1,4,4,4,4,8,1,1],[1,27,7,
26,28,12,6,7,8,2,3,12,6,24,6,3,6,2,1,3,6,3,6,6,6,3,1,3,1],[1,27,7,28,26,12,6,
7,2,8,3,12,6,24,6,3,6,2,1,3,6,3,6,6,6,3,1,3,1],[1,4,23,2,3,30,4,6,16,18,1,2,3,
2,4,4,4,4,12,4,8,14,5,10,2,1,1,2,4,2,3,2,6,4,6,1,2,1,1,2,1],[1,4,23,3,2,4,30,
6,16,18,1,2,3,2,4,4,4,12,4,8,4,14,5,10,2,1,1,2,4,2,3,2,6,4,6,1,2,1,1,2,1],[1,
14,13,12,5,1,16,15,12,4,10,4,2,1,1,2,1,3,2,8,10,4,12,8,8,1,3,2,2,5,2,2,1,2,1,
1,2,1,2,2,2,1,1,2,2,2,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,14,13,12,1,5,16,15,12,4,
10,4,2,1,1,2,1,3,2,8,10,12,4,8,8,3,1,2,2,5,2,2,1,2,1,1,2,1,2,2,2,1,1,2,2,2,1,
2,2,2,2,1,1,1,1,1,1,1,1],[1,27,7,50,4,4,14,1,2,17,20,14,8,2,3,10,2,1,1,2,6,3,
2,10,6,1,2,1,1,2,1],[1,27,7,4,50,4,14,1,2,17,20,14,8,2,3,10,2,1,1,2,6,3,2,10,
6,1,2,1,1,2,1],[1,10,17,2,4,5,5,4,4,11,26,4,6,8,1,1,6,11,1,4,6,6,6,4,4,4,4,4,
3,3,2,2,3,2,2,1,1,1,2,2,1,2,3,3,2,2,3,2,6,1,1,1,1,1,1,1,1],[1,14,13,2,4,3,5,4,
25,18,4,10,4,1,1,2,6,9,1,4,2,8,14,2,4,4,4,3,3,2,2,3,2,2,1,3,1,2,1,2,2,1,3,2,2,
2,1,2,4,2,1,1,1,1,1,1,1,1],[1,14,13,2,4,5,3,4,25,18,4,10,4,1,2,1,6,9,1,4,2,8,
2,14,4,4,4,3,3,2,2,3,2,2,1,3,1,2,1,2,2,1,3,2,2,2,1,2,4,2,1,1,1,1,1,1,1,1],[1,
10,17,4,7,1,20,17,12,4,6,8,3,2,1,2,1,1,2,8,2,4,2,10,8,8,8,1,3,2,2,2,3,2,2,1,1,
1,2,2,1,2,2,2,2,1,1,2,2,1,2,4,2,1,1,1,1,1,1,1,1],[1,10,17,4,1,7,20,17,12,4,6,
8,3,1,2,2,1,1,2,8,2,4,10,2,8,8,8,3,1,2,2,2,3,2,2,1,1,1,2,2,1,2,2,2,2,1,1,2,2,
1,2,4,2,1,1,1,1,1,1,1,1],[1,6,21,4,3,7,4,20,3,20,4,10,4,1,3,2,3,1,2,8,6,6,6,8,
8,8,3,5,2,3,2,2,1,2,1,1,2,1,2,2,3,3,2,3,2,6,1,1,1,1,1,1,1,1],[1,6,21,4,7,3,20,
4,3,20,4,10,4,3,1,2,3,1,2,8,6,6,6,8,8,8,5,3,2,3,2,2,1,2,1,1,2,1,2,2,3,3,2,3,2,
6,1,1,1,1,1,1,1,1],[1,8,19,1,2,22,12,24,4,14,1,2,1,2,6,4,4,4,4,4,16,14,2,1,2,
10,2,1,1,2,4,2,1,2,2,2,8,2,4,1,2,1,1,2,1],[1,8,19,2,1,22,12,24,4,14,1,2,1,2,6,
4,4,4,4,4,16,14,2,1,2,10,2,1,1,2,4,2,1,2,2,2,8,2,4,1,2,1,1,2,1],[1,12,15,16,1,
18,18,8,8,10,3,2,1,12,2,4,16,6,16,3,2,6,4,2,1,3,2,4,3,2,4,2,4,2,4,1,2,1,1,2,
1],[1,12,15,16,1,18,18,8,8,10,3,2,1,12,2,4,16,6,16,3,2,6,4,2,1,3,2,4,3,2,4,2,
4,2,4,1,2,1,1,2,1],[1,4,23,5,42,6,8,18,1,2,15,2,12,16,14,3,2,10,2,1,3,6,3,2,6,
4,2,4,1,2,1,1,2,1],[1,4,23,5,42,6,8,18,1,2,15,2,12,16,14,3,2,10,2,1,3,6,3,2,6,
4,2,4,1,2,1,1,2,1],[1,10,17,4,3,5,4,16,17,12,4,14,1,2,2,1,2,1,1,2,8,2,4,10,10,
8,8,3,5,2,3,2,2,1,2,2,1,1,1,2,2,2,1,1,2,2,2,1,2,4,2,1,1,1,1,1,1,1,1],[1,10,17,
4,5,3,16,4,17,12,4,14,2,1,1,2,2,1,1,2,8,2,4,10,10,8,8,5,3,2,3,2,2,1,2,2,1,1,1,
2,2,2,1,1,2,2,2,1,2,4,2,1,1,1,1,1,1,1,1],[1,18,9,2,12,3,3,23,18,4,14,1,1,6,9,
3,4,18,8,8,4,3,3,2,5,2,2,1,3,3,1,2,3,3,2,2,2,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,18,
13,16,3,3,4,4,33,12,16,1,1,3,3,3,4,6,18,18,18,12,12,12,24,20,1,1,3,3,3,4,3,3,
9,3,3,3,3,3,3,3,6,6,6,6,8,24,24,24,1,3,3,3,3,3,3,6,6,1],[1,19,3,4,26,16,6,1,2,
3,12,6,12,3,6,2,1,6,3,6,3,6,6,1,3,3,1],[1,19,3,26,4,16,6,1,2,3,12,6,12,3,6,2,
1,6,3,6,3,6,6,1,3,3,1],[1,10,9,4,3,1,4,17,4,4,10,8,1,2,1,1,1,2,4,2,10,1,5,4,2,
2,2,3,2,2,1,2,2,2,2,1,1,2,1,2,2,1,1,2,2,1,4,2,1,1,1,1,1,1,1,1],[1,10,9,4,1,3,
4,17,4,4,10,8,1,1,2,1,1,2,4,10,2,5,1,2,4,2,2,3,2,2,1,2,2,2,2,1,1,2,1,2,2,1,1,
2,2,1,4,2,1,1,1,1,1,1,1,1],[1,14,5,12,1,1,15,4,4,6,12,1,1,1,3,10,4,4,1,1,4,4,
2,2,5,2,2,1,2,2,2,2,2,1,1,1,2,1,1,2,2,2,1,2,2,2,1,1,1,1,1,1,1,1],[1,6,13,4,3,
3,4,4,3,12,4,14,4,1,1,3,1,6,6,6,5,5,2,2,2,3,2,2,1,2,2,2,1,1,2,2,1,2,3,3,3,6,1,
1,1,1,1,1,1,1],[1,4,15,1,18,6,8,8,4,10,1,2,1,2,4,8,6,2,3,2,4,6,4,2,1,2,4,1,2,
2,4,1,2,2,4,2,4,1,1,2,1,2,1],[1,4,15,1,18,6,8,8,4,10,1,2,1,2,4,8,6,2,3,2,4,6,
4,2,1,2,4,1,2,2,4,1,2,2,4,2,4,1,1,2,1,2,1],[1,4,15,3,2,4,10,6,16,12,10,1,1,2,
4,4,4,4,4,4,4,10,5,4,8,4,1,1,2,2,1,3,4,4,1,1,2,2,2,2,2,2,1,2,1,2,2,2,1,2,1,2,
2,1],[1,4,15,2,3,10,4,6,16,12,10,1,1,2,4,4,4,4,4,4,10,4,5,4,8,4,1,1,2,2,1,3,4,
4,1,1,2,2,2,2,2,2,1,2,1,2,2,2,1,2,1,2,2,1],[1,4,15,3,2,4,10,6,16,12,10,1,1,2,
4,4,4,2,2,2,2,4,2,6,2,5,2,2,4,8,4,1,1,1,1,2,1,1,2,5,3,1,1,1,2,1,2,3,3,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,2,1],[1,4,15,2,3,10,4,6,16,12,10,1,1,2,4,4,4,2,2,2,2,
4,6,2,5,2,2,2,4,8,4,1,1,1,1,2,1,1,2,5,3,1,1,1,2,1,2,3,3,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,2,1],[1,8,11,1,2,10,12,16,8,14,1,1,2,4,4,4,4,4,4,4,4,7,4,4,8,4,1,1,
2,2,1,1,2,2,6,2,1,3,2,4,2,1,2,1,2,2,2,1,2,1,2,2,1],[1,8,11,2,1,10,12,16,8,14,
1,1,2,4,4,4,4,4,4,4,7,4,4,4,8,4,1,1,2,2,1,1,2,2,6,2,1,3,2,4,2,1,2,1,2,2,2,1,2,
1,2,2,1],[1,6,9,3,1,4,15,12,8,12,4,1,3,3,8,2,4,2,8,12,8,1,2,2,2,2,2,1,1,2,2,2,
1,1,1,1],[1,6,9,1,3,4,15,12,8,12,4,1,3,3,8,4,2,2,8,12,8,1,2,2,2,2,1,2,1,2,2,2,
1,1,1,1],[1,6,9,3,1,4,15,12,8,4,12,1,3,3,8,2,2,4,8,12,8,1,2,2,2,2,1,1,2,2,2,2,
1,1,1,1],[1,6,9,1,3,4,15,12,8,4,12,1,3,3,8,2,4,2,8,12,8,1,2,2,2,2,1,2,1,2,2,2,
1,1,1,1],[1,6,9,3,1,4,15,12,12,12,1,3,3,8,2,4,2,4,8,8,8,1,2,2,2,2,2,2,1,1,2,2,
1,1,1,1],[1,6,9,1,3,4,15,12,12,12,1,3,3,8,4,2,4,2,8,8,8,1,2,2,2,2,2,1,2,2,1,2,
1,1,1,1],[1,6,9,3,1,4,15,12,16,4,4,1,3,3,8,2,2,24,8,1,4,2,1,1,4,2,4,1,2,1],[1,
6,9,1,3,4,15,12,16,4,4,1,3,3,8,2,2,24,8,1,4,2,1,1,4,2,4,1,2,1],[1,2,13,1,5,16,
1,12,8,16,2,2,1,2,8,6,2,6,2,12,8,1,1,3,2,1,1,2,2,2,2,2,1,1,1,1],[1,2,13,5,1,
16,1,12,8,16,2,2,1,2,8,2,6,2,6,12,8,1,1,3,2,1,1,2,2,2,2,2,1,1,1,1],[1,6,25,7,
5,12,16,15,20,4,12,3,2,3,2,3,2,8,8,8,16,4,8,4,12,8,2,2,6,2,8,4,1,1,2,1,1,1,1,
2,2,2,2,2,2,2,3,2,4,4,2,4,2,4,4,1,2,2,1,1,1,1,1,1,2,2,1],[1,6,25,5,7,16,12,15,
20,4,12,2,3,3,2,3,2,8,8,8,4,16,4,8,12,8,2,6,2,2,8,4,1,1,2,1,1,1,1,2,2,2,2,2,2,
2,3,2,4,4,2,2,4,4,4,1,2,2,1,1,1,1,1,1,2,2,1],[1,6,25,5,7,16,20,7,20,12,4,2,3,
1,2,2,1,2,2,8,8,2,2,14,2,8,8,24,10,2,2,2,4,4,1,1,1,1,1,1,2,2,2,2,1,1,2,2,3,2,
2,1,1,4,6,4,4,4,1,1,1,1,1,2,1,2,1,2,2,1],[1,6,25,7,5,20,16,7,20,12,4,3,2,1,2,
2,1,2,2,8,8,2,2,2,14,8,8,24,2,10,2,2,4,4,1,1,1,1,1,1,2,2,2,2,1,1,2,2,3,2,2,1,
1,4,4,6,4,4,1,1,1,1,1,2,1,2,1,2,2,1],[1,10,21,8,5,5,16,16,5,20,8,8,2,2,2,2,1,
2,2,2,8,8,4,4,4,32,16,2,2,6,6,4,4,1,1,1,2,1,2,2,2,4,4,1,4,4,4,2,4,4,4,4,1,2,2,
2,1,2,1,4,1],[1,6,17,3,5,4,16,15,20,4,1,2,3,2,3,2,8,8,8,8,2,2,2,8,1,1,1,2,2,4,
4,4,4,4,1,2,2,2,1],[1,6,17,5,3,16,4,15,20,4,2,1,3,2,3,2,8,8,8,8,2,2,2,8,1,1,1,
2,2,4,4,4,4,4,1,2,2,2,1],[1,4,31,11,2,52,10,6,32,4,10,9,8,4,1,2,4,4,16,4,4,4,
4,12,8,8,20,8,2,5,8,8,1,2,1,2,2,1,2,1,1,2,4,5,2,3,2,4,8,8,8,8,2,2,1,1,2,1,2,2,
2,1],[1,4,31,2,11,10,52,6,32,4,10,9,8,1,4,2,4,4,4,16,4,4,4,8,12,8,20,8,2,5,8,
8,1,2,1,2,2,1,2,1,1,2,4,5,2,3,2,4,8,8,8,8,2,2,1,1,2,1,2,2,2,1],[1,16,19,16,2,
5,10,8,40,32,8,6,2,7,1,6,12,4,4,4,16,8,16,8,4,4,12,4,8,4,3,8,8,1,2,1,2,2,1,2,
1,3,2,2,4,1,3,4,2,2,8,8,8,8,2,2,1,1,2,1,2,2,2,1],[1,16,19,16,5,2,8,10,40,32,8,
6,2,7,1,6,12,4,4,16,4,8,8,16,4,12,4,4,8,4,3,8,8,1,2,1,2,2,1,2,1,3,2,2,4,1,3,4,
2,2,8,8,8,8,2,2,1,1,2,1,2,2,2,1],[1,8,27,2,9,10,40,20,32,8,6,8,3,8,1,2,4,4,2,
4,8,4,8,4,2,16,2,6,4,6,4,8,12,8,3,4,8,1,1,1,1,1,1,2,1,1,1,2,1,1,2,1,1,7,2,1,6,
1,1,3,3,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,8,27,9,2,40,10,20,32,
8,6,8,3,8,2,1,4,2,4,8,4,8,4,4,2,2,16,4,6,4,6,8,12,8,3,4,8,1,1,1,1,1,1,2,1,1,1,
2,1,1,2,1,1,7,2,1,6,1,1,3,3,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,
20,15,1,28,1,1,6,6,43,27,8,4,2,3,3,5,23,3,3,2,2,6,6,6,1,9,3,3,2,2,2,2,30,4,1,
3,3,12,4,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,3,1,1,1,3,3,3,7,7,11,2,2,2,2,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1],[1,10,13,2,5,3,4,15,18,12,8,1,1,6,9,2,6,6,6,4,4,2,
10,2,4,2,2,4,16,4,1,1,1,1,1,4,4,4,1,2,4,2,2,3,1,2,2,1,1,3,2,4,4,1,1,1,1,1,1,1,
2,2,2,2,1],[1,10,13,2,3,5,4,15,18,12,8,1,1,6,9,2,6,6,6,4,4,10,2,4,2,2,2,4,16,
4,1,1,1,1,1,4,4,4,1,2,4,2,2,3,1,2,2,1,1,3,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,6,
17,2,7,3,8,9,18,8,12,2,6,9,4,4,8,8,4,2,4,2,6,2,2,8,16,4,1,1,2,1,4,4,4,1,1,1,2,
4,2,2,2,4,1,2,4,4,4,2,1,1,2,1,2,2,2,2,1],[1,6,17,2,3,7,8,9,18,8,12,2,6,9,4,4,
8,8,4,4,2,6,2,2,2,8,16,4,1,1,2,1,4,4,4,1,1,1,2,4,2,2,2,4,1,2,4,4,4,2,1,1,2,1,
2,2,2,2,1],[1,14,9,2,8,3,3,13,18,8,8,4,6,9,2,8,4,4,4,8,2,2,2,2,2,6,6,4,16,4,1,
1,2,1,4,4,4,1,2,2,4,2,4,4,1,2,4,4,4,2,1,1,2,1,2,4,2,1],[1,6,9,2,3,3,9,18,4,4,
6,9,2,2,2,2,2,2,16,8,1,1,1,4,4,4,4,4,4,1,2,4,1],[1,8,19,2,5,10,8,20,24,4,14,2,
3,1,4,4,4,4,8,2,4,2,6,4,6,4,4,4,2,7,2,2,12,8,4,1,1,3,1,2,1,1,1,3,2,3,3,2,1,1,
1,1,1,1,1,1,3,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1],[1,8,19,5,2,8,10,20,24,4,
14,2,3,1,4,4,4,8,4,2,2,4,4,6,4,6,4,4,2,2,7,2,12,8,4,1,1,3,1,2,1,1,1,3,2,3,3,2,
1,1,1,1,1,1,1,1,3,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1],[1,8,19,2,5,10,8,20,
24,12,6,2,3,1,4,4,4,4,8,2,2,6,2,4,4,4,4,8,10,2,3,2,8,8,4,1,1,1,2,1,2,1,1,2,2,
2,1,1,2,2,2,2,1,1,1,1,1,2,2,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,8,19,
5,2,8,10,20,24,12,6,2,3,1,4,4,4,8,4,2,2,2,6,4,4,4,4,8,2,10,3,2,8,8,4,1,1,1,2,
1,2,1,1,2,2,2,1,1,2,2,2,2,1,1,1,1,1,2,2,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,4,23,7,2,20,10,6,24,8,10,3,2,1,2,2,4,8,4,4,4,4,4,4,4,8,8,8,2,5,2,8,8,4,
1,1,1,2,1,2,1,1,2,2,1,1,1,1,4,2,2,2,2,1,2,2,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1],[1,4,23,2,7,10,20,6,24,8,10,3,1,2,2,4,2,4,8,4,4,4,4,4,4,8,8,8,5,2,2,8,
8,4,1,1,1,2,1,2,1,1,2,2,1,1,1,1,4,2,2,2,2,1,2,2,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1],[1,8,19,2,5,10,16,12,24,12,6,2,1,1,2,2,4,2,4,8,4,2,4,10,4,2,4,2,4,
4,10,2,3,2,4,4,8,4,1,1,1,1,1,1,2,1,1,3,1,2,2,1,1,2,3,1,2,1,1,2,1,1,1,4,4,4,4,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,8,19,5,2,16,10,12,24,12,6,2,1,2,1,2,2,4,8,
4,4,2,4,4,10,4,2,4,2,4,2,10,3,2,4,4,8,4,1,1,1,1,1,1,2,1,1,3,1,2,2,1,1,2,3,1,2,
1,1,2,1,1,1,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,12,15,1,4,1,1,6,6,23,
27,8,8,2,1,1,5,1,3,3,2,2,6,6,2,1,5,3,3,2,2,2,2,10,4,2,2,1,3,9,12,4,4,1,1,1,1,
1,1,1,1,1,1,1,3,1,1,1,3,3,3,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1],[1,6,9,3,1,4,7,4,8,12,4,1,1,1,2,2,2,6,4,8,2,2,4,4,4,1,1,1,1,
2,2,2,2,1,1,2,1,1,1,4,4,1,1,1,1,1,1,1,1],[1,6,9,1,3,4,7,4,8,12,4,1,1,1,2,2,6,
2,8,4,2,2,4,4,4,1,1,1,1,2,2,2,2,1,1,2,1,1,1,4,4,1,1,1,1,1,1,1,1],[1,10,5,8,1,
1,5,4,16,8,1,2,4,4,4,4,4,2,2,6,6,4,1,2,1,2,2,2,2,1,1,1,1,1,2,4,4,1,1,1,1,1,1,
1,1],[1,27,7,26,12,10,3,2,3,20,12,6,5,6,2,4,1,3,5,6,6,2,4,4,1,1,1,2,2,1],[1,
27,7,12,26,10,3,2,3,20,6,12,5,6,2,4,1,3,5,6,6,2,4,4,1,1,1,2,2,1],[1,4,23,5,18,
8,6,8,4,6,2,1,2,1,2,8,4,8,4,6,8,2,1,2,6,2,4,1,2,1,1,2,2,2,4,2,4,2,4,4,1,1,1,2,
2,1],[1,4,23,5,8,18,6,8,4,6,2,1,2,1,2,8,4,8,6,4,8,2,1,2,6,2,4,1,2,1,1,2,2,2,4,
2,4,2,4,4,1,1,1,2,2,1],[1,2,21,5,5,8,16,1,12,12,8,2,2,2,1,2,8,2,2,4,2,2,4,12,
10,4,4,8,4,1,1,1,2,1,2,3,3,2,2,3,1,2,1,3,1,1,1,3,1,1,1,1,2,1,1,2,1,1,1,1,1,1,
1],[1,2,21,5,5,16,8,1,12,12,8,2,2,2,1,2,8,2,2,2,4,2,4,12,10,4,4,8,4,1,1,1,2,1,
2,3,3,2,2,3,1,2,1,3,1,1,1,3,1,1,1,1,2,1,1,2,1,1,1,1,1,1,1],[1,6,17,5,3,16,4,7,
12,8,12,2,1,1,2,1,2,8,2,4,2,2,4,2,8,4,4,6,4,4,8,4,1,1,1,2,1,1,1,3,3,2,1,2,1,2,
1,5,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,6,17,3,5,4,16,7,12,8,12,1,
2,1,2,1,2,8,2,2,4,4,2,8,2,4,4,6,4,4,8,4,1,1,1,2,1,1,1,3,3,2,1,2,1,2,1,5,1,2,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,4,15,1,18,6,8,14,1,2,1,2,4,8,6,5,2,
6,2,4,4,1,1,2,2,1,2,2,4,2,4,2,4,4,1,1,1,2,2,1],[1,4,15,1,18,6,8,14,1,2,1,2,4,
8,6,5,2,6,4,2,4,1,1,2,2,1,2,2,4,2,4,2,4,4,1,1,1,2,2,1],[1,19,3,26,4,4,10,1,2,
3,12,6,2,5,6,4,2,4,1,1,2,2,3,6,6,2,4,4,1,1,1,2,2,1],[1,19,3,4,26,4,10,1,2,3,
12,6,2,5,6,2,4,4,1,1,2,2,3,6,6,2,4,4,1,1,1,2,2,1],[1,4,15,5,30,6,8,6,1,15,12,
3,4,4,1,3,2,3,2,1,1,1,1],[1,4,15,5,30,6,8,6,1,15,12,3,4,4,1,3,2,3,2,1,1,1,1],[
1,4,15,3,2,4,10,6,16,8,6,1,1,2,4,4,4,4,4,4,4,3,4,1,2,1,2,1,2,2,1,1,1,1],[1,4,
15,2,3,10,4,6,16,8,6,1,1,2,4,4,4,4,4,4,4,3,4,1,2,1,2,1,2,2,1,1,1,1],[1,19,7,4,
30,12,2,1,15,4,8,6,1,4,1,2,1,2,1,2,2,1,1,1,1],[1,19,7,30,4,12,2,1,15,4,8,6,1,
4,1,2,1,2,1,2,2,1,1,1,1],[1,12,7,16,1,6,18,14,3,1,12,12,3,4,4,1,3,2,3,2,1,1,1,
1],[1,12,7,16,1,6,18,14,3,1,12,12,3,4,4,1,3,2,3,2,1,1,1,1],[1,8,11,2,1,10,12,
16,8,4,2,1,1,2,4,4,4,4,4,4,2,1,4,4,1,1,2,2,1,2,2,1,1,1,1],[1,8,11,1,2,10,12,
16,8,4,2,1,1,2,4,4,4,4,4,4,2,1,4,4,1,1,2,2,1,2,2,1,1,1,1],[1,19,7,6,28,4,10,7,
8,1,4,8,2,1,4,4,1,1,2,2,1,2,2,1,1,1,1],[1,19,7,28,6,4,10,7,8,1,4,8,2,1,4,4,1,
1,2,2,1,2,2,1,1,1,1],[1,2,13,1,5,8,1,4,4,12,2,1,4,4,4,2,4,4,2,8,4,4,2,1,1,1,1,
2,2,1,2,4,4,2,2,2,1,1,1,2,2,1],[1,2,13,5,1,8,1,4,4,12,2,1,4,4,4,2,4,4,2,8,4,4,
2,1,1,1,1,2,2,1,2,4,4,2,2,2,1,1,1,2,2,1],[1,11,3,6,4,12,14,1,1,4,6,3,4,4,1,1,
2,2,2,2,1,1,1,1,1],[1,11,3,4,6,12,14,1,1,4,6,3,4,4,1,1,2,2,2,2,1,1,1,1,1],[1,
4,7,1,6,6,8,18,1,1,4,5,4,4,4,1,1,2,2,2,2,1,1,1,1,1],[1,4,7,1,6,6,8,18,1,1,4,5,
4,4,4,1,1,2,2,2,2,1,1,1,1,1],[1,2,9,2,2,1,8,4,6,16,1,1,4,1,2,4,4,2,4,1,1,2,2,
2,2,1,1,1,1,1],[1,2,21,5,5,8,8,1,4,12,2,2,1,4,4,4,4,4,4,4,4,2,8,8,4,4,4,2,2,1,
1,1,1,1,2,2,4,4,4,4,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,11,3,4,6,8,10,1,1,4,8,
1,4,4,1,2,1,2,2,1,2,1,1,1,1],[1,11,3,6,4,8,10,1,1,4,8,1,4,4,1,2,1,2,2,1,2,1,1,
1,1],[1,4,7,1,6,6,4,14,1,1,4,2,3,4,4,4,1,2,1,2,2,1,2,1,1,1,1],[1,4,7,1,6,6,4,
14,1,1,4,2,3,4,4,4,1,2,1,2,2,1,2,1,1,1,1],[1,4,15,5,8,6,6,8,4,10,2,1,1,8,4,4,
8,2,1,4,4,1,2,2,2,1,1,2,1,1,1,1],[1,4,15,5,6,8,6,8,4,10,2,1,1,8,4,4,8,2,1,4,4,
1,2,2,2,1,1,2,1,1,1,1],[1,19,7,12,6,8,14,3,1,12,12,4,3,4,1,2,2,3,3,1,1,1,1],[
1,19,7,6,12,8,14,3,1,12,12,4,3,4,1,2,2,3,3,1,1,1,1],[1,10,9,8,2,2,5,8,4,2,16,
2,1,1,4,16,4,1,4,4,2,1,2,2,1,1,2,2,1,1,1,1],[1,2,5,1,1,1,4,8,12,1,2,2,4,4,2,4,
1,1,1,1,1,2,2,2,2,2,2,2,1,1,1,1],[1,12,3,1,8,7,3,4,6,6,1,2,4,4,4,3,3,2,12,4,3,
1,2,1,2,2,1,1,1,1],[1,4,3,1,3,3,4,10,6,1,3,3,2,2,12,4,4,3,1,1,2,2,2,1,1,1,1],[
1,17,17,1,1,1],[1,12,27,4,1,27,27,12,36,12,9,1,4,36,36,1,3,3,12,1,3,3,1],[1,
10,9,4,9,18,12,12,4,9,1,12,1,1,1,1,2,1],[1,10,9,4,9,18,12,12,4,9,1,12,1,1,1,1,
2,1],[1,1,18,4,9,9,9,24,4,9,1,12,2,1,1,1,1,1],[1,21,13,1,9,9,42,3,9,4,3,1,3,3,
4,9,3,1,1],[1,3,18,1,12,1,9,9,6,36,3,9,4,1,2,1,3,3,4,3,6,3,1,1],[1,21,4,9,1,9,
9,12,30,3,9,4,1,2,1,3,3,4,3,6,3,1,1],[1,21,4,9,1,9,9,12,30,3,9,4,1,2,1,3,3,4,
3,6,3,1,1],[1,10,9,4,9,6,12,12,4,9,1,12,2,6,1,1,1,6,1,2,1],[1,22,9,4,24,27,16,
12,16,9,1,6,14,24,1,1,1,4,6,1,2,2,2,1],[1,6,9,13,1,9,9,1,3,15,3,4,3,1,3,3,4,3,
1,1,1],[1,3,12,4,9,1,9,9,1,3,12,3,3,4,1,2,1,3,3,4,3,1,1,1],[1,3,12,4,9,1,9,9,
1,3,12,3,3,4,1,2,1,3,3,4,3,1,1,1],[1,12,3,1,12,10,9,3,1,3,12,3,4,1,2,1,3,3,4,
3,1,1,1],[1,12,9,4,18,9,4,12,12,9,1,12,1,4,1,2,1],[1,7,18,4,3,9,3,2,24,10,9,1,
3,1,12,1,3,2,1,2,3,3,1,1,1,1],[1,9,1,12,3,1,3,4,9,3,4,1,2,3,1,3,4,1,3,1,1],[1,
9,1,12,1,3,3,4,9,3,4,3,1,3,3,4,1,3,1,1],[1,9,13,1,3,3,4,9,3,4,3,1,3,3,4,1,3,1,
1],[1,9,4,9,3,1,3,4,9,3,4,1,2,3,1,3,4,1,3,1,1],[1,9,4,9,1,3,3,4,9,3,4,1,2,1,3,
3,4,1,3,1,1],[1,9,4,9,12,9,1,1,1,1],[1,9,4,1,3,3,2,18,3,1,4,3,1,1,3,3,2,1,3,1,
1,1,1],[1,25,6,1,1],[1,15,5,30,16,15,1,1],[1,15,5,30,16,15,1,1],[1,8,15,1,15,
15,10,10,1,5,5,5,1,3,3,5,1,2,2,3,3,1,1,1,1],[1,3,7,1,21,1,7,3,1,1,3,1],[1,3,7,
1,21,1,7,3,1,1,3,1],[1,3,4,1,1,1,3,4,1,1],[1,3,4,1,1,1,3,4,1,1],[1,3,28,1,1,7,
3,4,1,1],[1,3,28,1,1,7,3,4,1,1],[1,1,7,1,7,1,7,1,1,1,1,1],[1,18,9,16,2,3,3,27,
18,18,16,3,6,9,18,18,9,8,12,1,9,9,12,3,1,1],[1,18,9,16,2,3,3,27,18,18,16,3,6,
9,18,18,9,8,12,1,9,9,12,3,1,1],[1,12,15,16,5,30,18,18,16,3,15,36,9,8,12,1,9,9,
12,3,1,1],[1,12,15,16,5,30,18,18,16,3,15,36,9,8,12,1,9,9,12,3,1,1],[1,6,21,16,
2,3,9,12,9,18,6,12,16,3,6,9,6,6,12,12,3,6,8,12,1,3,6,3,6,4,8,3,1,1],[1,6,21,
16,2,9,3,12,9,18,6,12,16,3,6,9,6,6,12,12,3,6,8,12,1,3,6,3,6,4,8,3,1,1],[1,27,
16,11,30,12,12,6,16,3,15,12,24,6,3,8,12,1,3,6,3,6,4,8,3,1,1],[1,27,16,11,12,
30,12,6,16,3,15,12,24,6,3,8,12,1,3,6,3,6,4,8,3,1,1],[1,27,16,5,48,18,16,3,15,
18,18,9,20,1,9,9,12,3,1,1],[1,27,16,5,48,18,16,3,15,18,18,9,20,1,9,9,12,3,1,
1],[1,27,16,5,48,18,16,3,15,18,18,9,8,12,1,9,9,4,8,3,1,1],[1,27,16,5,48,18,16,
3,15,18,18,9,8,12,1,9,9,4,8,3,1,1],[1,18,9,16,2,12,3,3,15,18,12,6,16,6,9,3,12,
6,6,12,3,6,8,12,1,3,6,3,6,4,8,3,1,1],[1,18,9,16,2,12,3,3,15,18,12,6,16,6,9,3,
12,6,6,12,3,6,8,12,1,3,6,3,6,4,8,3,1,1],[1,12,15,16,16,1,6,18,12,12,6,16,3,12,
3,6,6,24,3,6,16,4,1,3,6,3,6,8,4,3,1,1],[1,12,15,16,16,1,6,18,12,12,6,16,3,12,
3,6,6,24,3,6,16,4,1,3,6,3,6,8,4,3,1,1],[1,19,16,3,4,26,6,16,1,2,3,12,6,3,6,2,
4,8,3,6,6,4,8,8,1,1],[1,19,16,3,26,4,6,16,1,2,3,12,6,3,6,2,8,4,3,6,6,4,8,8,1,
1],[1,6,13,16,4,3,3,4,4,3,12,6,16,1,1,3,1,6,6,6,3,3,3,2,4,4,4,3,3,3,6,4,4,4,8,
1,1],[1,10,21,16,2,3,9,36,39,66,16,3,7,6,14,15,30,32,48,8,12,1,3,3,12,12,4,8,
8,1,1,1],[1,10,21,16,2,9,3,36,39,66,16,3,7,6,14,15,30,32,48,8,12,1,3,3,12,12,
4,8,8,1,1,1],[1,6,25,16,5,15,60,15,60,16,10,20,15,30,60,20,8,12,1,15,15,4,8,8,
1,1,1],[1,6,25,16,15,5,60,15,60,16,10,20,15,30,60,20,8,12,1,15,15,4,8,8,1,1,
1],[1,18,21,4,3,16,1,18,36,45,12,4,12,12,3,9,12,9,6,18,12,36,18,1,4,12,12,1,3,
3,18,18,1,3,3,4,3,1,3,3,1],[1,18,21,4,3,16,1,18,36,45,12,4,12,12,3,9,12,9,6,
18,12,36,18,1,4,12,12,1,3,3,18,18,1,3,3,4,3,1,3,3,1],[1,30,9,4,52,3,1,63,12,
12,4,12,9,3,45,3,27,9,9,9,9,1,4,12,12,1,3,3,9,9,9,9,1,3,3,4,3,1,3,3,1],[1,30,
9,4,52,1,3,63,12,12,4,12,3,9,45,3,27,9,9,9,9,1,4,12,12,3,1,3,9,9,9,9,1,3,3,4,
3,1,3,3,1],[1,6,33,4,13,3,64,3,36,12,4,12,12,10,8,6,3,6,24,12,12,24,6,12,1,4,
12,12,1,3,3,6,6,12,12,1,1,2,1,2,4,3,1,1,1,2,2,1],[1,6,33,4,3,13,64,3,36,12,4,
12,12,10,8,6,3,6,24,12,12,24,6,12,1,4,12,12,1,3,3,6,6,12,12,1,1,2,1,2,4,3,1,1,
1,2,2,1],[1,12,27,4,3,4,4,30,30,48,6,6,4,12,12,1,3,3,6,12,12,8,12,6,6,6,12,6,
12,3,3,12,1,4,12,12,1,3,3,3,3,3,3,12,12,1,1,2,1,2,4,3,1,1,1,2,2,1],[1,12,27,4,
4,3,30,4,30,48,6,6,4,12,12,1,3,3,6,12,12,12,8,6,6,6,6,12,12,3,3,12,1,4,12,12,
1,3,3,3,3,3,3,12,12,1,1,2,1,2,4,3,1,1,1,2,2,1],[1,12,27,4,1,1,3,6,18,39,51,6,
6,4,12,12,1,3,9,3,9,2,6,6,18,3,3,3,3,6,6,6,6,12,3,3,12,1,4,12,12,3,1,3,3,3,3,
3,6,6,6,6,1,1,2,1,2,4,3,1,1,1,2,2,1],[1,12,27,4,1,3,1,18,6,39,51,6,6,4,12,12,
3,1,9,9,3,6,2,18,6,3,3,3,3,6,6,6,6,12,3,3,12,1,4,12,12,1,3,3,3,3,3,3,6,6,6,6,
1,1,2,1,2,4,3,1,1,1,2,2,1],[1,10,9,16,2,3,3,15,18,6,16,1,6,9,6,6,3,8,12,1,3,3,
4,1,1,1],[1,10,9,16,2,3,3,15,18,6,16,1,6,9,6,6,3,8,12,1,3,3,4,1,1,1],[1,19,16,
5,36,6,16,1,15,6,6,3,8,12,1,3,3,4,1,1,1],[1,19,16,5,36,6,16,1,15,6,6,3,8,12,1,
3,3,4,1,1,1],[1,12,7,16,16,1,6,18,6,16,3,1,12,12,3,16,4,1,3,3,4,1,1,1],[1,12,
7,16,16,1,6,18,6,16,3,1,12,12,3,16,4,1,3,3,4,1,1,1],[1,4,15,16,5,30,6,6,16,1,
15,12,3,20,1,3,3,4,1,1,1],[1,4,15,16,5,30,6,6,16,1,15,12,3,20,1,3,3,4,1,1,1],[
1,4,3,16,1,3,3,6,6,16,1,3,3,12,4,3,4,1,1],[1,19,16,7,6,12,6,16,3,1,12,12,3,4,
1,3,3,4,1,1,1],[1,19,16,7,12,6,6,16,3,1,12,12,3,4,1,3,3,4,1,1,1],[1,16,15,4,
12,1,6,12,12,4,6,6,8,8,4,1,3,3,6,6,6,6,12,3,3,6,1,4,4,4,1,3,3,3,3,3,3,2,2,1,4,
3,1,1,1,1],[1,16,15,4,12,1,6,12,12,4,6,6,8,8,4,1,3,3,6,6,6,6,12,3,3,6,1,4,4,4,
1,3,3,3,3,3,3,2,2,1,4,3,1,1,1,1],[1,6,25,4,4,6,6,3,24,12,4,16,4,1,3,3,24,12,3,
3,6,1,4,4,4,1,3,3,3,3,3,3,4,1,4,3,1,1,1,1],[1,31,4,9,18,16,10,6,16,4,4,3,12,
24,9,3,1,4,4,4,1,3,3,3,3,6,2,2,1,4,3,1,1,1,1],[1,31,4,9,16,18,10,6,16,4,4,3,
12,24,9,3,1,4,4,4,1,3,3,3,3,6,2,2,1,4,3,1,1,1,1],[1,10,9,4,1,3,21,16,6,4,4,4,
1,3,3,3,3,3,3,24,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,10,9,4,3,1,21,16,
6,4,4,4,3,1,3,3,3,3,3,24,1,4,4,4,3,1,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,6,13,4,3,
3,4,3,12,10,12,4,4,4,1,3,6,6,9,6,12,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[
1,6,13,4,3,3,4,3,12,10,12,4,4,4,1,3,6,6,9,6,12,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,
3,1,1,1,1],[1,12,7,4,3,4,9,9,12,4,6,4,4,4,3,1,6,6,3,3,3,6,12,1,4,4,4,1,3,3,3,
3,3,3,1,1,1,4,3,1,1,1,1],[1,12,15,4,16,1,6,18,12,12,6,8,12,3,12,3,6,6,24,3,6,
1,4,4,4,1,3,6,3,6,2,3,4,3,1,1,1,1],[1,12,15,4,16,1,6,18,12,12,6,8,12,3,12,3,6,
6,24,3,6,1,4,4,4,1,3,6,3,6,2,3,4,3,1,1,1,1],[1,18,9,4,1,12,1,6,18,15,12,6,8,
12,1,3,3,3,2,6,6,6,6,18,3,6,1,4,4,4,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,18,9,
4,1,12,1,6,18,15,12,6,8,12,1,3,3,3,2,6,6,6,6,18,3,6,1,4,4,4,1,3,3,3,3,3,3,2,1,
2,4,3,1,1,1,1],[1,27,4,7,28,18,12,6,8,12,7,8,3,12,24,6,3,1,4,4,4,1,3,6,3,6,2,
1,2,4,3,1,1,1,1],[1,27,4,7,18,28,12,6,8,12,7,8,3,12,24,6,3,1,4,4,4,1,3,6,3,6,
2,1,2,4,3,1,1,1,1],[1,12,15,4,16,1,6,18,12,12,6,8,12,3,12,3,6,6,24,3,6,1,4,4,
4,1,3,6,3,6,2,3,4,3,1,1,1,1],[1,12,15,4,16,1,6,18,12,12,6,8,12,3,12,3,6,6,24,
3,6,1,4,4,4,1,3,6,3,6,2,3,4,3,1,1,1,1],[1,6,21,4,1,9,16,15,12,6,12,8,12,4,3,3,
8,12,6,6,12,3,6,1,4,4,4,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,6,21,4,9,1,16,15,
12,6,12,8,12,4,3,3,8,12,6,6,12,3,6,1,4,4,4,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[
1,18,9,4,2,12,3,3,15,18,12,6,8,12,6,9,3,12,6,6,12,3,6,1,4,4,4,1,3,6,3,6,2,3,4,
3,1,1,1,1],[1,27,4,5,48,18,8,12,3,15,18,18,9,1,4,4,4,1,9,9,2,3,4,3,1,1,1,1],[
1,27,4,5,48,18,8,12,3,15,18,18,9,1,4,4,4,1,9,9,2,3,4,3,1,1,1,1],[1,14,9,4,1,
16,1,6,24,15,4,20,3,3,12,3,2,6,4,12,6,1,4,4,4,1,1,1,6,6,3,2,4,1,1,1,1,1],[1,
14,9,4,1,16,1,6,24,15,4,20,3,3,12,3,2,6,4,12,6,1,4,4,4,1,1,1,6,6,3,2,4,1,1,1,
1,1],[1,18,5,4,28,1,1,33,4,20,3,3,23,1,9,3,3,3,3,1,4,4,4,1,1,1,3,3,3,3,5,4,1,
1,1,1,1],[1,6,17,4,1,7,28,15,12,4,20,7,3,8,3,8,4,12,6,1,4,4,4,1,1,1,6,6,1,2,2,
4,1,1,1,1,1],[1,6,17,4,7,1,28,15,12,4,20,7,3,8,3,8,4,12,6,1,4,4,4,1,1,1,6,6,1,
2,2,4,1,1,1,1,1],[1,7,16,1,6,6,6,16,1,3,3,4,1,3,3,4,1,1,1],[1,7,16,1,6,6,6,16,
1,3,3,4,1,3,3,4,1,1,1],[1,15,16,1,6,12,16,6,3,3,6,3,6,4,1,3,3,4,3,1,1],[1,15,
16,1,6,12,16,6,3,3,6,3,6,4,1,3,3,4,3,1,1],[1,15,4,1,6,12,8,12,6,3,3,6,3,4,6,4,
4,4,1,3,3,6,6,4,1,3,1,1,1,1],[1,15,4,1,6,12,8,12,6,3,3,6,4,3,6,4,4,4,1,3,3,6,
6,4,1,3,1,1,1,1],[1,6,5,4,1,1,3,10,20,1,3,3,3,3,3,3,6,10,4,4,4,1,1,3,1,3,3,3,
1,4,1,1,1,1,1],[1,49,8,56,1,1],[1,7,1,7,1,7,1,1],[1,25,25,6,30,30,1,1,1],[1,
10,25,25,6,2,30,10,10,1,1,2,1],[1,25,25,6,30,10,1,1,1],[1,3,16,24,1,12,5,8,6,
3,4,3,4,1,1,2,1],[1,9,7,6,9,6,6,9,2,2,9,6,6,1,1,1],[1,27,7,6,27,6,30,27,2,2,
27,2,12,6,1,6,1,2,1],[1,9,18,7,6,27,6,6,6,18,9,18,2,2,9,18,2,6,6,6,1,6,1,2,
1],[1,15,7,28,8,7,8,8,1,1,1],[1,15,7,28,8,7,8,8,1,1,1],[1,25,10,5,15,15,6,20,
10,15,6,5,10,6,5,1,1],[1,10,15,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,10,
15,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,15,10,10,5,15,15,6,10,10,10,15,
6,5,10,6,5,1,1],[1,16,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,16,15,
10,5,30,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,16,15,10,5,30,6,10,10,10,5,6,6,6,
5,10,6,5,1,1],[1,1,30,10,5,15,15,6,20,10,5,12,6,5,10,6,5,1,1],[1,1,30,10,5,15,
15,6,20,10,5,12,6,5,10,6,5,1,1],[1,8,15,4,1,15,15,1,20,5,1,3,3,1,4,1,3,3,5,4,
1,1,1],[1,8,15,1,15,20,1,1,5,5,15,1,3,3,5,5,5,1,4,3,5,1,1,1,3,1,1,1,1],[1,3,7,
15,1,21,1,7,3,7,1,2,1,3,1,1,1],[1,21,1,21,7,21,1,7,3,7,2,1,1,1,3,1,1],[1,42,
29,112,7,7,28,28,189,84,28,7,7,21,21,8,8,21,140,56,56,28,84,84,84,42,42,42,84,
56,1,1,7,7,7,7,7,7,21,21,21,28,14,14,42,42,42,42,42,42,42,42,84,84,84,84,56,
168,168,168,7,7,21,21,21,28,28,84,84,84,42,42,42,84,56,7,7,21,28,1],[1,22,57,
6,45,21,180,36,165,318,12,12,45,3,45,7,90,6,98,141,270,30,360,32,360,48,12,12,
12,12,24,24,24,24,48,6,6,6,6,6,6,48,6,15,45,3,3,135,12,180,12,270,3,3,12,12,
12,6,6,6,6,12,12,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,48,48,48,48,18,45,1,
3,3,3,3,12,12,12,12,24,2,2,6,6,6,6,6,6,12,12,6,6,12,12,3,1,6,6,6,6,3,3,1],[1,
22,57,6,21,45,36,180,165,318,12,12,3,45,7,45,6,90,98,141,30,270,32,360,48,360,
12,12,12,12,24,24,24,24,48,6,6,6,6,6,6,48,6,15,3,45,135,3,180,12,270,12,3,3,
12,12,12,6,6,6,6,12,12,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,48,48,48,48,18,
1,45,3,3,3,3,12,12,12,12,24,2,2,6,6,6,6,6,6,12,12,6,6,12,12,3,1,6,6,6,6,3,3,
1],[1,18,53,6,15,49,204,135,270,4,24,51,45,8,90,90,135,270,360,360,4,12,24,24,
48,6,12,24,6,1,15,45,135,180,270,1,6,6,6,12,12,24,24,6,12,6,12,24,24,18,45,1,
6,6,6,8,12,24,3,6,12,1,3,4,3,4,1],[1,18,53,6,49,15,204,135,270,4,24,51,45,8,
90,90,135,270,360,360,4,12,24,24,48,6,12,24,6,1,15,45,135,180,270,1,6,6,6,12,
12,24,24,6,12,6,12,24,24,18,45,1,6,6,6,8,12,24,3,6,12,1,3,4,3,4,1],[1,26,45,6,
16,45,15,180,147,270,16,12,45,47,90,90,135,12,270,360,360,16,12,12,24,48,6,12,
24,6,1,15,45,135,180,270,3,4,6,6,12,12,24,24,6,6,12,12,24,24,18,45,3,4,2,6,12,
12,24,3,6,12,1,1,6,1,6,1],[1,26,45,6,16,15,45,180,147,270,16,12,45,47,90,90,
135,12,270,360,360,16,12,24,12,48,6,12,24,6,1,15,45,135,180,270,3,4,6,6,12,12,
24,24,6,6,12,12,24,24,18,45,3,4,2,6,12,12,24,3,6,12,1,1,6,1,6,1],[1,6,41,13,7,
80,28,15,36,28,12,14,7,3,8,16,6,3,6,24,8,4,12,24,24,24,48,18,6,6,6,24,24,8,2,
1,1,3,1,6,6,3,2,12,6,12,6,12,6,6,6,6,6,12,12,12,24,24,24,24,1,3,6,6,6,3,4,12,
6,6,6,12,12,1,3,3,4,4,1],[1,6,41,7,13,28,80,15,36,28,12,7,14,3,16,8,6,3,6,24,
8,4,12,24,24,24,48,18,6,6,6,24,24,8,1,2,1,3,1,6,6,3,2,12,6,12,6,12,6,6,6,6,6,
12,12,12,24,24,24,24,1,3,6,6,6,3,4,12,6,6,6,12,12,1,3,3,4,4,1],[1,14,33,16,3,
13,4,80,27,36,16,4,20,1,14,5,16,6,3,12,6,24,8,4,4,8,24,40,24,32,2,6,10,6,4,8,
24,24,8,2,1,1,3,1,4,2,6,3,2,4,8,6,2,4,4,4,8,8,2,6,10,2,6,12,12,4,4,8,24,24,24,
24,1,3,6,2,2,4,4,1,2,4,12,2,2,4,4,6,4,8,4,8,1,1,2,1,2,4,4,1],[1,14,33,16,13,3,
80,4,27,36,16,4,20,14,1,5,16,6,3,12,6,24,8,4,8,4,24,40,24,32,2,10,6,6,4,24,8,
24,8,2,1,1,3,1,4,6,2,3,2,4,8,6,2,4,4,4,8,8,2,6,10,2,6,12,12,4,4,8,24,24,24,24,
1,3,6,2,2,4,4,1,2,4,12,2,2,4,4,6,4,8,4,8,1,1,2,1,2,4,4,1],[1,18,29,16,7,7,20,
28,57,44,8,24,8,3,7,3,9,8,2,9,12,2,8,8,24,12,12,36,20,8,8,8,16,16,22,8,2,4,2,
6,20,12,8,8,1,1,1,3,1,3,5,3,2,1,2,2,4,2,2,4,2,2,4,2,1,2,1,2,4,4,2,2,4,4,18,2,
2,2,6,18,6,6,2,4,4,4,12,12,12,4,24,24,3,3,3,1,2,2,1,1,2,2,2,1,1,1,4,12,2,1,2,
2,1,2,2,6,2,4,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,18,29,16,7,7,28,20,
57,44,8,24,8,7,3,9,3,8,2,9,12,2,8,24,8,12,12,20,36,8,8,8,16,16,8,22,4,2,2,6,
20,12,8,8,1,1,3,1,1,3,5,3,2,1,2,2,2,4,2,4,2,2,4,2,2,1,1,2,4,4,2,2,4,4,2,18,2,
2,18,6,6,6,2,4,4,4,12,12,12,4,24,24,3,3,3,1,2,2,1,1,2,2,2,1,1,1,4,12,2,2,1,2,
1,2,2,6,2,4,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,26,21,48,3,7,4,20,69,
28,8,16,16,1,3,7,7,2,5,44,2,8,8,8,4,28,28,20,8,24,8,16,8,6,4,6,2,10,20,8,12,8,
8,2,2,1,1,1,2,2,1,2,4,2,1,2,2,2,2,4,4,2,6,2,1,1,2,2,4,2,4,2,4,4,6,4,2,6,2,2,6,
6,10,2,4,4,16,16,12,12,4,8,16,16,8,1,2,2,1,4,2,1,2,1,2,2,2,1,1,1,8,4,4,1,2,2,
2,1,2,2,2,4,2,4,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,26,21,48,7,3,20,4,
69,28,8,16,16,3,1,7,7,2,5,44,2,8,8,8,4,28,20,28,8,24,8,16,6,8,6,4,2,10,20,8,
12,8,8,2,2,1,1,1,2,2,1,2,4,2,1,2,2,2,4,2,4,2,2,6,1,2,1,2,4,2,4,2,4,4,4,6,2,6,
2,2,6,6,10,2,4,4,16,16,12,12,4,8,16,16,8,1,2,2,1,4,2,1,2,1,2,2,2,1,1,1,8,4,4,
1,2,2,1,2,2,2,2,4,2,4,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,6,17,7,1,28,
15,12,24,16,12,7,3,8,3,8,4,12,6,6,6,36,24,8,8,1,1,1,6,6,2,2,6,6,3,3,6,6,6,6,6,
1,3,3,6,6,6,6,1,3,3,1],[1,6,17,1,7,28,15,12,24,16,12,7,3,8,3,8,4,12,6,6,6,36,
24,8,8,1,1,1,6,6,2,2,6,6,3,3,6,6,6,6,6,1,3,3,6,6,6,6,1,3,3,1],[1,14,9,16,3,1,
4,27,12,8,24,20,1,5,3,12,8,4,4,8,6,6,6,4,12,8,12,24,8,8,1,1,3,2,2,6,2,2,6,6,2,
2,2,3,3,2,2,6,2,2,2,4,4,1,1,1,3,1,2,2,2,2,2,2,6,6,1,1,1,1,1,1,1,1],[1,14,9,16,
1,3,4,27,12,8,24,20,1,5,3,12,8,4,8,4,6,6,4,6,12,8,12,24,8,8,1,1,3,2,2,6,2,2,6,
6,2,2,3,2,2,3,2,6,2,2,2,4,4,1,1,1,3,1,2,2,2,2,2,2,6,6,1,1,1,1,1,1,1,1],[1,18,
37,16,11,15,12,60,57,84,12,24,3,10,9,20,21,12,30,60,24,20,12,12,24,24,12,48,
12,12,24,6,6,12,6,12,24,24,12,1,1,3,15,15,3,6,3,6,3,3,3,6,12,9,3,12,6,6,6,12,
6,3,12,6,6,12,6,12,6,12,12,24,24,12,12,1,3,3,6,3,4,3,3,6,3,6,6,1,3,3,3,6,2,6,
3,6,6,6,9,3,3,6,12,6,6,6,6,6,1,3,3,3,3,3,3,6,6,1],[1,18,37,16,15,11,60,12,57,
84,12,24,10,3,9,20,21,12,30,60,20,24,12,24,12,12,24,12,48,12,24,6,12,6,6,12,
24,24,12,1,1,3,15,15,3,6,3,6,3,3,3,6,12,9,3,12,6,6,6,12,6,3,12,6,6,12,6,6,12,
12,12,24,24,12,12,1,3,3,6,3,4,3,3,6,3,6,6,1,3,3,3,6,2,6,3,6,6,6,9,3,3,6,12,6,
6,6,6,6,1,3,3,3,3,3,3,6,6,1],[1,10,45,15,15,60,52,29,84,20,16,10,9,3,8,20,4,
17,30,4,60,16,20,8,8,4,24,4,12,24,12,16,20,56,22,4,8,2,2,4,8,16,24,4,8,1,1,1,
2,15,15,3,2,2,4,1,6,1,2,1,5,10,8,6,5,7,2,4,2,10,6,12,8,5,4,8,2,6,8,4,14,8,6,4,
8,8,8,16,16,8,8,4,8,4,1,1,1,2,2,4,2,1,1,4,4,2,1,2,2,5,2,6,4,1,3,1,3,2,4,2,2,6,
2,1,4,2,4,2,6,1,3,8,2,1,4,6,8,4,6,2,2,4,4,2,4,2,1,2,1,1,2,1,2,1,2,1,2,1,2,2,2,
2,4,2,1],[1,10,45,15,15,52,60,29,84,20,16,9,10,3,8,4,20,17,4,30,16,60,8,20,8,
4,4,24,24,12,16,12,20,56,4,22,2,8,2,4,8,16,24,4,8,1,1,1,15,2,15,3,2,2,4,1,6,1,
2,1,5,10,8,6,5,7,2,4,2,10,6,12,8,5,4,8,2,6,8,4,8,14,4,6,8,8,16,8,16,8,8,4,8,4,
1,1,1,2,2,4,2,1,1,4,4,2,1,2,2,5,2,6,4,1,3,1,3,2,4,2,2,6,2,1,4,2,4,2,6,1,3,8,2,
1,4,6,8,4,6,2,2,4,4,2,4,2,1,2,1,1,2,1,2,1,2,1,2,1,2,2,2,2,4,2,1],[1,18,21,16,
7,3,28,4,57,36,16,20,8,7,1,9,3,8,9,12,24,8,12,12,12,36,10,18,4,6,20,8,40,16,8,
1,1,3,1,3,3,2,3,4,4,2,4,2,4,4,4,4,2,2,2,2,4,4,4,4,18,18,6,6,6,12,12,12,24,24,
3,3,3,1,1,2,2,2,4,12,2,2,6,4,4,8,4,4,4,4,1,2,2,2,2,1,1,4,1],[1,18,21,16,3,7,4,
28,57,36,16,20,8,1,7,3,9,8,9,12,8,24,12,12,36,12,18,10,4,6,20,8,40,16,8,1,1,1,
3,3,2,3,3,4,4,2,4,2,4,4,4,4,2,2,2,2,4,4,4,4,18,6,18,6,6,12,12,12,24,24,3,3,3,
1,1,2,2,2,4,12,2,2,6,4,4,8,4,4,4,4,1,2,2,2,2,1,1,4,1],[1,26,13,48,3,3,4,4,69,
20,28,16,1,1,7,7,5,44,8,8,4,28,20,20,10,10,4,4,10,36,8,8,32,8,2,2,1,1,4,4,1,4,
2,2,4,4,2,4,4,4,4,2,2,2,2,2,2,2,2,4,4,4,4,2,2,6,6,10,16,16,12,12,8,16,16,8,1,
2,2,4,1,1,1,1,2,2,8,4,4,2,2,2,4,4,4,4,4,4,4,4,4,1,2,2,2,2,1,1,4,1],[1,14,33,2,
9,9,36,36,69,114,20,20,3,3,7,7,6,6,22,21,30,30,32,32,48,48,4,4,4,4,8,8,8,8,16,
10,10,10,10,10,10,80,1,3,3,3,3,12,12,12,12,5,5,20,20,20,4,4,4,4,4,4,4,4,8,8,8,
8,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,16,16,16,16,1,1,1,1,1,1,4,4,4,4,8,4,4,4,4,8,
8,8,8,5,8,2,2,2,1,1],[1,10,29,2,3,13,60,39,66,16,12,16,9,7,8,6,14,15,30,32,48,
4,12,8,8,16,10,4,8,4,4,4,8,24,32,1,1,3,3,12,12,1,2,4,2,2,8,8,8,2,2,2,2,2,2,12,
4,4,4,4,12,6,4,6,4,8,8,1,1,2,2,2,4,1,2,6,2,2,4,4,2,4,4,1,1,2,1,2,1],[1,10,29,
2,13,3,60,39,66,16,12,16,9,7,8,6,14,15,30,32,48,4,12,8,8,16,4,10,4,8,4,4,8,24,
32,1,1,3,3,12,12,1,2,4,2,2,8,8,8,2,2,2,2,2,2,12,4,4,4,4,12,6,4,6,4,8,8,1,1,2,
2,2,4,1,2,6,2,2,4,4,2,4,4,1,1,2,1,2,1],[1,18,21,2,16,9,3,36,51,66,20,24,3,9,6,
14,15,12,30,32,48,12,12,24,4,10,4,12,4,4,12,16,32,1,1,3,3,12,12,3,2,4,2,8,8,8,
6,2,2,4,6,2,2,4,4,4,8,8,6,6,12,12,1,3,2,6,3,2,2,2,4,4,4,2,4,4,1,1,2,1,2,1],[1,
18,21,2,16,3,9,36,51,66,20,24,3,9,6,14,15,12,30,32,48,12,24,12,10,4,12,4,4,4,
12,16,32,1,1,3,3,12,12,3,2,4,2,8,8,8,6,2,2,4,2,6,4,2,4,4,8,8,6,6,12,12,1,3,2,
6,3,2,2,2,4,4,4,2,4,4,1,1,2,1,2,1],[1,18,21,2,16,9,3,36,51,66,16,20,8,3,9,6,
14,15,12,30,32,48,8,4,4,8,24,4,10,4,4,4,4,12,24,32,1,1,3,3,12,12,3,2,4,2,8,8,
8,2,2,2,2,2,2,4,4,4,4,12,12,2,2,4,4,12,12,1,1,2,2,2,4,1,2,2,2,4,4,6,2,2,2,2,2,
1,1,1,1,1,1,1,1],[1,18,21,2,16,3,9,36,51,66,16,20,8,3,9,6,14,15,12,30,32,48,8,
4,8,4,24,10,4,4,4,4,4,12,24,32,1,1,3,3,12,12,3,2,4,2,8,8,8,2,2,2,2,2,2,4,4,4,
4,12,12,2,2,4,4,12,12,1,1,2,2,2,4,1,2,2,2,4,4,6,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,
10,29,2,3,13,60,39,66,12,32,9,7,8,6,14,15,30,32,48,4,12,8,8,16,10,4,16,4,4,4,
24,32,1,1,3,3,12,12,1,2,6,2,8,8,8,2,2,6,2,6,2,4,4,4,4,8,8,6,4,6,4,8,8,1,1,2,2,
2,4,3,2,2,2,4,4,4,2,4,4,1,1,2,1,2,1],[1,10,29,2,13,3,60,39,66,12,32,9,7,8,6,
14,15,30,32,48,4,12,8,8,16,4,10,4,16,4,4,24,32,1,1,3,3,12,12,1,2,6,2,8,8,8,2,
2,6,2,2,6,4,4,4,4,8,8,6,4,6,4,8,8,1,1,2,2,2,4,3,2,2,2,4,4,4,2,4,4,1,1,2,1,2,
1],[1,14,33,2,9,9,36,36,69,114,16,4,20,3,3,7,7,6,6,22,21,30,30,32,32,48,48,4,
4,4,4,8,8,8,8,16,2,2,10,2,2,2,16,24,16,1,3,3,3,3,12,12,12,12,1,4,4,1,4,4,4,4,
4,12,12,8,8,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,16,16,16,16,1,1,1,1,1,1,4,4,4,4,8,
2,6,4,1,4,4,8,1,1,2,2,1,1],[1,14,33,2,9,9,36,36,69,114,16,4,20,3,3,7,7,6,6,22,
21,30,30,32,32,48,48,4,4,4,4,8,8,8,8,16,2,2,2,10,2,2,16,24,16,1,3,3,3,3,12,12,
12,12,1,4,4,1,4,4,4,4,4,12,12,8,8,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,16,16,16,16,
1,1,1,1,1,1,4,4,4,4,8,2,6,4,1,4,4,8,1,1,2,2,1,1],[1,14,33,2,9,9,36,36,69,114,
16,20,4,3,3,7,7,6,6,22,21,30,30,32,32,48,48,4,4,4,4,8,8,8,8,16,10,2,2,2,2,2,
16,24,16,1,3,3,3,3,12,12,12,12,4,1,4,1,4,4,4,4,4,4,4,16,16,2,2,2,2,2,2,2,2,4,
4,4,4,4,4,4,4,16,16,16,16,1,1,1,1,1,1,4,4,4,4,8,2,2,8,1,4,4,4,4,2,1,1,2,1,1],[
1,14,33,2,9,9,36,36,69,114,16,20,4,3,3,7,7,6,6,22,21,30,30,32,32,48,48,4,4,4,
4,8,8,8,8,16,2,10,2,2,2,2,16,24,16,1,3,3,3,3,12,12,12,12,4,1,4,1,4,4,4,4,4,4,
4,16,16,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,16,16,16,16,1,1,1,1,1,1,4,4,4,4,8,2,2,
8,1,4,4,4,4,2,1,1,2,1,1],[1,14,33,2,9,9,36,36,69,114,4,36,3,3,7,7,6,6,22,21,
30,30,32,32,48,48,4,4,4,4,8,8,8,8,16,2,2,18,2,2,2,32,16,1,3,3,3,3,12,12,12,12,
1,8,1,4,4,4,8,8,16,16,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,16,16,16,16,1,1,1,1,1,1,
4,4,4,4,8,4,8,1,4,4,8,2,2,2,1,1],[1,14,33,2,9,9,36,36,69,114,4,36,3,3,7,7,6,6,
22,21,30,30,32,32,48,48,4,4,4,4,8,8,8,8,16,2,2,2,18,2,2,32,16,1,3,3,3,3,12,12,
12,12,1,8,1,4,4,4,8,8,16,16,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,16,16,16,16,1,1,1,
1,1,1,4,4,4,4,8,4,8,1,4,4,8,2,2,2,1,1],[1,14,49,2,17,9,100,36,69,130,12,20,15,
3,7,7,16,10,6,22,21,34,30,48,32,48,48,12,4,4,28,24,32,8,32,40,32,2,14,6,10,6,
2,32,32,8,2,1,3,3,3,5,12,12,12,12,2,1,8,3,4,8,4,2,2,2,4,8,4,4,4,2,6,12,8,4,12,
10,2,6,14,2,2,2,6,6,4,12,4,4,8,4,16,4,32,32,32,16,32,16,24,24,1,1,2,1,3,1,1,8,
8,4,4,4,8,4,4,4,6,2,8,4,4,2,2,2,2,4,4,1,4,12,2,2,4,2,4,2,2,6,8,4,4,8,4,4,4,8,
4,2,2,1,2,2,1,1,2,4,4,2,4,4,1],[1,14,49,2,9,17,36,100,69,130,12,20,3,15,7,7,
16,6,10,22,21,30,34,32,48,48,48,12,4,28,4,32,24,32,8,40,32,14,2,10,6,6,2,32,
32,8,2,1,3,3,5,3,12,12,12,12,2,1,8,3,8,4,4,2,2,2,4,8,4,4,4,2,6,12,8,4,12,10,6,
2,2,14,2,2,6,6,4,4,12,8,4,16,4,4,32,32,16,32,32,16,24,24,1,1,2,1,1,3,1,8,4,8,
4,4,8,4,4,4,6,2,8,4,4,2,2,2,2,4,4,1,4,12,2,2,4,2,4,2,2,6,8,4,4,8,4,4,4,8,4,2,
2,1,2,2,1,1,2,4,4,2,4,4,1],[1,30,33,2,48,9,9,36,36,109,114,16,12,4,3,3,11,11,
6,6,22,21,44,30,30,32,32,48,48,16,4,28,20,20,8,8,8,8,80,16,6,6,2,2,2,10,20,40,
16,8,2,2,1,3,3,3,3,12,12,12,12,2,2,1,4,4,4,1,4,4,4,2,4,4,8,4,4,4,8,8,8,8,4,4,
2,2,2,2,6,6,10,2,2,4,4,4,4,4,4,4,16,16,12,12,24,24,40,16,16,16,16,8,16,16,8,1,
1,1,2,2,1,1,1,4,4,4,4,4,4,4,8,4,4,4,4,4,8,8,4,2,2,4,4,1,8,4,4,2,4,4,4,4,2,4,4,
8,8,8,8,8,4,2,2,1,2,2,1,1,2,8,2,8,1],[1,22,41,2,16,13,9,60,36,97,130,20,12,9,
3,13,7,8,6,6,22,25,12,30,30,32,32,64,48,12,20,20,52,8,16,24,16,16,32,6,22,2,6,
2,6,20,8,32,8,1,1,1,5,3,3,3,12,12,12,12,3,5,3,2,1,4,8,4,2,4,8,4,6,4,6,6,2,8,8,
4,22,4,6,2,18,6,10,6,2,2,4,4,4,4,8,4,8,20,12,20,8,8,16,32,16,32,24,24,1,1,3,3,
5,1,1,1,2,4,4,4,8,8,2,2,2,2,2,2,4,2,6,8,4,4,3,1,2,2,4,1,4,12,2,2,2,4,2,2,4,6,
4,8,4,4,8,8,4,4,4,1,1,2,1,1,1,2,1,1,2,4,4,2,4,4,1],[1,22,41,2,16,9,13,36,60,
97,130,20,12,3,9,7,13,8,6,6,22,25,12,30,30,32,32,48,64,12,20,52,20,16,8,16,24,
16,32,22,6,6,2,2,6,20,8,32,8,1,1,1,3,5,3,3,12,12,12,12,3,5,3,2,1,8,4,4,2,4,8,
4,6,4,6,6,2,8,8,4,22,4,2,6,6,18,6,10,2,2,4,4,4,8,4,8,4,20,12,20,8,8,32,16,16,
32,24,24,1,1,3,3,5,1,1,1,2,4,4,8,4,8,2,2,2,2,2,2,4,2,6,8,4,4,3,1,2,2,4,1,4,12,
2,2,2,4,2,2,4,6,4,8,4,4,8,8,4,4,4,1,1,2,1,1,1,2,1,1,2,4,4,2,4,4,1],[1,6,25,5,
7,16,28,15,20,16,20,12,2,7,3,8,2,3,2,8,8,4,12,8,8,16,10,12,2,6,2,8,8,24,16,1,
1,1,1,2,2,4,2,1,4,2,2,4,4,2,4,2,2,2,4,4,4,4,4,6,2,6,2,4,4,4,1,1,2,2,1,2,2,2,2,
2,2,4,4,4,4,4,4,1,1,2,1,2,1],[1,6,25,7,5,28,16,15,20,16,20,12,7,2,3,8,2,3,2,8,
8,4,12,8,8,16,12,10,6,2,2,8,8,24,16,1,1,1,2,1,2,4,2,1,4,2,2,4,4,2,4,2,2,2,4,4,
4,4,4,6,2,6,2,4,4,4,1,1,2,2,1,2,2,2,2,2,2,4,4,4,4,4,4,1,1,2,1,2,1],[1,14,17,
16,3,5,4,16,27,20,28,20,1,2,5,2,3,12,2,8,8,4,4,8,8,24,12,10,6,6,2,20,8,8,16,1,
1,1,2,5,2,2,1,4,2,2,4,4,4,6,4,2,2,2,4,4,4,2,6,2,2,4,4,4,4,1,1,2,2,2,1,2,2,2,2,
2,4,4,4,4,4,4,1,1,2,1,2,1],[1,14,17,16,5,3,16,4,27,20,28,20,2,1,5,2,3,12,2,8,
8,4,8,4,8,24,10,12,6,6,2,20,8,8,16,1,1,1,2,5,2,2,1,4,2,2,4,4,4,6,2,4,2,2,4,4,
4,2,6,2,2,4,4,4,4,1,1,2,2,2,1,2,2,2,2,2,4,4,4,4,4,4,1,1,2,1,2,1],[1,10,21,3,7,
4,20,29,28,8,24,16,1,3,3,3,2,5,2,8,8,8,4,4,12,4,8,8,8,4,10,4,6,2,2,16,8,12,24,
1,1,1,4,1,2,2,1,2,4,4,2,4,2,2,4,2,2,4,1,1,2,2,4,2,4,2,2,2,2,2,2,2,2,2,4,4,4,1,
1,1,1,2,2,1,2,1,1,2,1,2,1,2,2,4,4,2,4,2,4,1,1,1,1,1,1,1,1],[1,10,21,7,3,20,4,
29,28,8,24,16,3,1,3,3,2,5,2,8,8,8,4,4,4,12,8,8,8,10,4,6,4,2,2,16,8,12,24,1,1,
1,4,1,2,2,1,4,2,4,4,2,2,4,2,2,2,1,4,2,1,2,4,4,2,2,2,2,2,2,2,2,2,2,4,4,4,1,1,1,
1,2,2,1,1,2,1,2,1,2,1,2,2,4,4,2,4,2,4,1,1,1,1,1,1,1,1],[1,10,21,7,3,20,4,29,
28,24,8,16,3,1,3,3,2,5,2,8,8,8,4,4,4,12,8,8,8,2,4,6,4,2,2,8,52,8,1,1,1,1,4,6,
2,1,2,2,4,4,2,2,2,2,1,2,1,6,4,4,2,6,2,2,2,2,2,2,2,2,4,4,4,1,1,1,1,2,1,1,2,3,2,
1,2,1,2,2,8,2,2,4,4,1,1,1,1,1,1,1,1],[1,10,21,3,7,4,20,29,28,24,8,16,1,3,3,3,
2,5,2,8,8,8,4,4,12,4,8,8,8,4,2,4,6,2,2,8,52,8,1,1,1,1,6,4,2,1,2,2,4,4,2,2,2,2,
1,1,2,4,6,4,2,6,2,2,2,2,2,2,2,2,4,4,4,1,1,1,1,2,1,1,3,2,2,1,2,1,2,2,8,2,2,4,4,
1,1,1,1,1,1,1,1],[1,14,17,16,3,5,4,16,27,20,16,12,20,1,2,5,2,3,12,2,8,8,4,4,8,
8,8,16,12,2,6,6,2,4,8,8,24,16,1,1,1,2,1,4,2,2,1,4,2,2,4,4,2,2,2,2,4,4,4,4,4,4,
2,2,2,2,4,4,4,4,4,1,1,2,2,1,2,2,2,2,2,2,4,4,4,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,
14,17,16,5,3,16,4,27,20,16,12,20,2,1,5,2,3,12,2,8,8,4,8,4,8,8,16,2,12,6,6,2,4,
8,8,24,16,1,1,1,2,1,4,2,2,1,4,2,2,4,4,2,2,2,2,4,4,4,4,4,4,2,2,2,2,4,4,4,4,4,1,
1,2,2,1,2,2,2,2,2,2,4,4,4,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,14,33,2,9,9,36,36,69,
114,4,4,3,3,7,7,6,6,22,21,30,30,32,32,48,48,4,4,4,4,8,8,8,8,16,2,2,2,2,2,2,16,
16,1,3,3,3,3,12,12,12,12,1,1,4,4,4,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,16,16,16,
16,8,8,8,1,1,1,1,1,1,4,4,4,4,8,1,4,4,4,4,4,8,1,2,2,2,1],[1,18,29,2,16,7,9,16,
36,51,74,8,24,8,2,3,9,2,6,14,15,12,2,30,8,32,48,4,12,24,16,8,12,12,16,8,10,2,
2,4,2,20,12,8,1,1,3,3,1,12,12,5,2,1,2,4,8,2,1,8,3,2,4,2,2,4,8,4,8,6,2,2,6,2,2,
4,2,6,12,12,4,8,8,1,3,1,2,2,2,2,6,2,2,2,2,4,1,1,2,4,2,2,4,2,2,4,1,1,1,1,1,1,1,
1],[1,18,29,2,16,9,7,36,16,51,74,8,24,8,3,2,9,6,2,14,15,12,30,2,32,8,48,4,12,
16,24,12,8,12,16,8,2,10,4,2,2,20,12,8,1,1,3,1,3,12,12,5,2,1,2,4,8,2,8,1,3,2,4,
2,2,4,4,8,8,6,2,2,6,2,2,4,2,6,12,12,4,8,8,1,3,1,2,2,2,2,6,2,2,2,2,4,1,1,2,4,2,
2,4,2,2,4,1,1,1,1,1,1,1,1],[1,10,37,2,13,7,60,16,39,74,8,16,16,9,2,7,8,6,2,14,
15,30,2,32,8,48,8,4,12,12,16,12,8,16,24,2,10,4,6,2,8,8,12,8,1,1,3,1,3,12,12,1,
2,2,2,1,2,4,2,2,4,2,2,1,3,2,2,8,4,4,2,2,8,8,6,4,2,6,2,2,2,4,2,4,6,4,8,8,8,8,1,
1,1,2,2,2,2,2,2,2,2,4,2,2,1,1,1,1,2,2,4,2,2,4,2,2,4,1,1,1,1,1,1,1,1],[1,10,37,
2,7,13,16,60,39,74,8,16,16,2,9,7,8,2,6,14,15,2,30,8,32,48,8,12,4,16,12,8,12,
16,24,10,2,6,4,2,8,8,12,8,1,1,3,3,1,12,12,1,2,2,2,1,2,4,2,2,4,2,1,2,2,3,2,8,4,
4,2,2,8,8,6,4,2,2,6,2,2,4,4,2,4,6,8,8,8,8,1,1,1,2,2,2,2,2,2,2,2,4,2,2,1,1,1,1,
2,2,4,2,2,4,2,2,4,1,1,1,1,1,1,1,1],[1,18,29,2,16,7,9,16,36,51,74,24,8,8,2,3,9,
2,6,14,15,12,2,30,8,32,48,8,4,4,8,8,8,12,12,40,8,2,2,2,4,2,4,36,8,1,1,3,3,1,
12,12,1,6,1,2,4,2,1,3,14,4,2,14,4,4,4,4,2,2,2,2,2,2,4,2,6,4,4,12,4,12,8,8,1,1,
1,2,2,2,2,2,2,2,2,2,2,4,1,7,2,2,2,2,4,2,4,2,1,1,1,1,1,1,1,1],[1,18,29,2,16,9,
7,36,16,51,74,24,8,8,3,2,9,6,2,14,15,12,30,2,32,8,48,8,4,4,8,8,12,8,12,40,8,2,
2,4,2,2,4,36,8,1,1,3,1,3,12,12,1,6,1,2,4,2,1,3,14,4,2,14,4,4,4,4,2,2,2,2,2,2,
4,2,6,4,4,4,12,12,8,8,1,1,1,2,2,2,2,2,2,2,2,2,2,4,1,7,2,2,2,2,4,2,4,2,1,1,1,1,
1,1,1,1],[1,18,29,2,16,9,7,36,16,51,74,8,8,24,3,2,9,6,2,14,15,12,30,2,32,8,48,
8,4,4,8,8,12,8,28,24,8,2,2,4,10,2,4,16,12,8,1,1,3,1,3,12,12,1,2,4,1,2,4,2,8,1,
3,4,2,4,4,2,2,8,8,4,4,2,6,2,2,2,2,4,2,6,4,4,12,12,8,8,1,1,1,2,2,2,2,2,2,2,2,2,
2,4,2,1,1,2,2,4,2,2,4,2,2,4,1,1,1,1,1,1,1,1],[1,18,29,2,16,7,9,16,36,51,74,8,
8,24,2,3,9,2,6,14,15,12,2,30,8,32,48,8,4,4,8,8,8,12,28,24,8,2,2,10,4,2,4,16,
12,8,1,1,3,3,1,12,12,1,2,4,1,2,4,2,8,1,4,3,2,4,2,4,2,8,8,4,4,2,6,2,2,2,2,4,2,
6,4,4,12,12,8,8,1,1,1,2,2,2,2,2,2,2,2,2,2,4,2,1,1,2,2,4,2,2,4,2,2,4,1,1,1,1,1,
1,1,1],[1,6,41,9,19,16,84,15,68,12,28,2,16,8,2,20,15,2,30,8,60,20,4,4,20,12,
12,4,24,32,8,4,12,2,2,24,8,1,1,15,1,15,1,1,6,2,2,2,2,2,1,3,2,8,6,2,4,2,12,12,
6,2,2,2,4,6,6,6,2,12,12,8,8,1,1,3,2,2,2,2,2,2,2,2,6,1,3,2,6,2,2,2,2,2,2,4,1,1,
1,1,1,1,1,1],[1,6,41,19,9,84,16,15,68,12,28,16,2,8,20,2,15,30,2,60,8,20,4,4,
12,20,4,12,24,32,4,8,2,12,2,24,8,1,1,1,15,15,1,1,6,2,2,2,2,1,2,3,2,8,2,6,2,4,
12,12,6,2,2,2,4,6,6,2,6,12,12,8,8,1,1,3,2,2,2,2,2,2,2,2,6,1,3,2,6,2,2,2,2,2,2,
4,1,1,1,1,1,1,1,1],[1,6,41,13,7,80,12,15,36,4,20,14,3,3,16,6,3,6,24,8,8,4,32,
4,24,12,24,8,2,10,6,6,24,8,4,8,8,2,1,3,6,2,3,2,1,1,1,2,2,2,2,2,2,2,3,6,6,8,12,
2,2,12,24,24,24,4,24,4,4,4,4,8,8,8,8,3,6,2,2,1,1,4,12,1,1,1,1,6,2,2,2,2,2,4,4,
4,4,4,4,8,1,1,1,2,2,2,2,2,2,1],[1,6,41,7,13,12,80,15,36,4,20,3,14,3,16,6,3,6,
24,8,8,32,4,24,4,24,12,8,2,6,10,6,8,24,8,4,8,2,1,3,2,6,3,1,2,1,1,2,2,2,2,2,2,
2,6,3,6,8,12,2,12,2,24,24,4,24,4,24,4,4,4,8,8,8,8,3,6,2,2,1,1,4,12,1,1,1,6,1,
2,2,2,2,2,4,4,4,4,4,4,8,1,1,1,2,2,2,2,2,2,1],[1,14,33,2,9,9,20,36,53,82,20,20,
3,3,3,7,2,6,14,17,2,30,8,32,8,48,8,8,8,16,8,16,8,16,8,16,6,18,6,10,6,6,8,16,
48,8,8,1,1,3,3,1,12,12,2,2,3,4,3,8,12,8,2,2,2,6,12,12,4,4,4,4,6,6,8,12,8,2,2,
2,2,4,2,4,2,2,2,4,4,8,4,8,8,8,8,8,8,8,8,1,1,1,2,2,1,3,2,1,1,2,1,1,2,2,4,1,1,4,
2,2,6,6,2,2,6,4,4,2,3,6,2,3,4,2,2,4,2,2,4,2,2,2,2,4,6,6,6,6,8,8,1,1,1,1,1,1,1,
2,4,2,2,2,2,2,2,2,2,2,1],[1,14,33,2,9,9,36,20,53,82,20,20,3,3,7,3,6,2,14,17,
30,2,32,8,48,8,8,8,16,8,16,8,16,8,8,16,18,6,10,6,6,6,8,16,48,8,8,1,3,1,1,3,12,
12,2,2,3,4,3,12,8,8,2,2,2,6,12,12,4,4,4,4,6,6,8,12,8,2,2,2,2,2,4,2,4,2,2,4,4,
8,4,8,8,8,8,8,8,8,8,1,1,1,2,2,1,3,2,1,1,2,1,1,2,2,4,1,1,4,2,2,6,6,2,2,6,4,4,2,
3,6,2,3,4,2,2,4,2,2,4,2,2,2,2,4,6,6,6,6,8,8,1,1,1,1,1,1,1,2,4,2,2,2,2,2,2,2,2,
2,1],[1,6,25,5,7,16,28,15,20,12,20,2,7,3,8,2,3,2,8,8,4,12,8,8,16,10,2,10,2,8,
16,8,1,1,1,1,2,4,1,4,2,4,2,4,4,4,6,2,6,2,4,4,4,4,4,4,1,1,2,2,1,2,2,2,4,2,2,2,
2,2,1,1,1,2,2,1],[1,6,25,7,5,28,16,15,20,12,20,7,2,3,8,2,3,2,8,8,4,12,8,8,16,
10,10,2,2,8,16,8,1,1,1,1,2,4,1,4,2,4,2,4,4,4,6,2,6,2,4,4,4,4,4,4,1,1,2,2,1,2,
2,2,4,2,2,2,2,2,1,1,1,2,2,1],[1,14,17,16,5,3,16,4,27,20,4,28,2,1,5,2,3,12,2,8,
8,4,8,4,8,24,2,6,10,2,4,16,8,8,1,1,1,1,4,2,1,4,6,2,4,4,4,2,6,2,2,4,4,4,4,4,4,
4,1,1,2,2,1,2,2,2,4,2,2,2,2,2,1,1,1,2,2,1],[1,14,17,16,3,5,4,16,27,20,4,28,1,
2,5,2,3,12,2,8,8,4,4,8,8,24,2,10,6,2,4,8,16,8,1,1,1,1,2,4,1,4,6,2,4,4,4,2,6,2,
2,4,4,4,4,4,4,4,1,1,2,2,1,2,2,2,4,2,2,2,2,2,1,1,1,2,2,1],[1,10,29,7,15,4,60,
29,68,12,32,1,10,3,20,17,30,60,8,20,4,4,8,4,16,4,8,12,2,14,4,2,24,24,1,1,15,
15,2,6,1,4,2,2,2,4,3,1,2,2,2,12,12,2,4,12,12,4,2,2,4,2,4,2,8,8,1,1,2,1,1,1,2,
1,2,2,1,6,2,6,2,4,4,2,2,1,2,1,1,2,1],[1,10,29,15,7,60,4,29,68,12,32,10,1,3,20,
17,30,60,20,8,4,4,4,8,4,16,8,2,12,4,14,2,24,24,1,1,15,15,2,6,1,2,4,2,2,4,3,1,
2,2,2,12,2,12,4,12,12,4,2,2,4,2,2,4,8,8,1,1,2,1,1,1,2,1,2,2,1,6,2,6,2,4,4,2,2,
1,2,1,1,2,1],[1,14,25,2,9,5,36,4,53,74,8,16,20,3,1,7,3,6,14,17,30,32,48,8,4,8,
4,8,4,4,8,8,4,6,2,8,2,8,16,12,24,1,3,1,3,12,12,2,1,2,4,2,4,4,4,2,2,4,2,3,1,4,
2,4,4,2,2,8,8,8,8,2,2,2,2,4,2,2,4,8,8,1,1,2,1,1,1,2,1,2,1,2,2,1,1,2,4,4,2,4,4,
2,2,1,1,1,1,1,1,1,1],[1,14,25,2,5,9,4,36,53,74,8,16,20,1,3,3,7,6,14,17,30,32,
8,48,4,8,8,4,4,8,4,8,6,4,8,2,2,8,16,12,24,1,1,3,3,12,12,2,1,2,4,4,2,4,4,2,2,4,
3,2,4,1,2,4,4,2,2,8,8,8,8,2,2,2,4,2,2,2,4,8,8,1,1,2,1,1,1,2,1,2,1,2,1,2,1,2,4,
4,2,4,4,2,2,1,1,1,1,1,1,1,1],[1,14,25,2,5,9,4,36,53,74,24,16,4,1,3,3,7,6,14,
17,30,32,8,48,4,8,8,4,4,8,4,8,6,4,2,2,8,52,8,1,1,3,3,12,12,2,1,4,6,2,4,4,2,2,
3,2,1,14,4,4,2,14,8,8,2,2,2,4,2,2,2,4,8,8,1,1,2,1,1,1,2,1,2,1,1,2,7,2,4,2,8,2,
2,1,1,1,1,1,1,1,1],[1,14,25,2,9,5,36,4,53,74,24,16,4,3,1,7,3,6,14,17,30,32,48,
8,4,8,4,8,4,4,8,8,4,6,2,2,8,52,8,1,3,1,3,12,12,2,1,6,4,2,4,4,2,2,2,3,1,4,14,4,
2,14,8,8,2,2,2,2,4,2,2,4,8,8,1,1,2,1,1,1,2,1,2,1,1,7,2,2,4,2,8,2,2,1,1,1,1,1,
1,1,1],[1,6,25,5,7,16,12,15,20,12,20,2,3,3,2,3,2,8,8,8,4,16,4,8,12,8,2,12,6,6,
2,8,8,16,4,8,1,1,2,2,2,1,4,1,1,2,2,1,2,4,2,2,2,2,4,2,2,4,2,2,3,2,4,4,2,2,4,4,
4,4,4,4,1,2,2,1,1,2,2,1,2,1,1,1,2,2,4,4,2,2,2,4,4,1,1,1,2,2,1],[1,6,25,7,5,12,
16,15,20,12,20,3,2,3,2,3,2,8,8,8,16,4,8,4,12,8,12,2,6,6,2,8,8,16,4,8,1,1,2,2,
2,1,4,1,2,1,1,2,4,2,2,2,2,2,2,4,4,2,2,2,3,2,4,4,2,4,2,4,4,4,4,4,1,2,2,1,1,2,2,
2,1,1,1,1,2,2,4,4,2,2,2,4,4,1,1,1,2,2,1],[1,22,33,2,16,5,13,4,60,81,90,8,16,
12,1,9,3,13,8,6,14,21,12,30,32,8,64,8,12,16,40,12,8,4,16,4,16,24,8,18,8,4,2,6,
12,8,12,8,8,1,1,1,1,5,3,12,12,3,3,3,2,2,2,2,2,2,3,2,1,2,4,4,4,2,2,4,4,18,4,2,
6,18,8,6,2,4,2,12,12,12,12,8,8,12,8,8,24,24,1,3,3,3,2,2,2,1,1,2,1,2,2,1,2,4,2,
2,4,1,1,1,2,2,2,4,12,6,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,22,33,2,16,13,
5,60,4,81,90,8,16,12,9,1,13,3,8,6,14,21,12,30,32,64,8,8,12,16,12,40,4,8,4,16,
16,24,8,8,18,2,4,6,12,8,12,8,8,1,1,1,5,1,3,12,12,3,3,3,2,2,2,2,2,2,3,1,2,2,4,
4,4,2,2,4,4,18,4,2,18,6,6,8,2,2,4,12,12,12,12,8,8,12,8,8,24,24,1,3,3,3,2,2,2,
1,2,1,1,2,2,1,2,4,2,2,4,1,1,1,2,2,2,4,12,6,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,
1],[1,30,25,2,48,5,9,4,36,93,74,8,24,4,1,3,7,11,6,14,17,44,30,32,8,48,8,4,40,
40,28,4,8,4,24,8,10,8,2,10,28,12,8,8,2,2,1,1,3,3,12,12,2,4,1,2,4,2,2,6,2,3,6,
1,2,4,2,2,4,4,8,4,2,2,2,8,10,10,2,2,16,24,12,20,12,12,8,8,8,16,16,8,1,1,4,2,2,
4,2,1,2,1,1,2,1,6,2,2,2,4,3,1,1,2,2,8,4,4,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,
2,1],[1,30,25,2,48,9,5,36,4,93,74,8,24,4,3,1,11,7,6,14,17,44,30,32,48,8,8,4,
40,28,40,4,4,8,24,8,8,10,2,10,28,12,8,8,2,2,1,3,1,3,12,12,4,2,1,2,4,2,2,6,2,6,
3,1,2,4,2,2,4,4,4,8,2,2,2,10,8,10,2,2,24,16,12,20,12,12,8,8,8,16,16,8,1,1,2,4,
2,4,2,2,1,1,1,2,1,6,2,2,2,4,3,1,1,2,2,8,4,4,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,
2,2,1],[1,10,45,23,7,124,4,29,84,4,32,22,1,3,16,24,17,34,76,20,8,4,4,4,40,4,
48,56,8,2,8,14,6,40,8,8,1,2,1,17,15,10,3,2,2,3,1,2,2,4,12,12,14,8,2,6,12,2,2,
20,40,40,8,8,24,24,1,3,10,2,1,1,1,2,1,4,2,12,1,2,6,4,12,6,2,2,4,4,2,1,1,1,2,2,
2,2,2,1],[1,10,45,7,23,4,124,29,84,4,32,1,22,3,16,24,17,34,76,8,20,4,4,40,4,
48,4,56,8,2,14,8,6,40,8,8,1,2,1,17,15,10,3,2,2,3,1,2,2,4,12,12,14,8,2,6,12,2,
20,2,40,40,8,8,24,24,1,3,10,2,1,1,1,2,1,4,2,12,1,2,6,4,12,6,2,2,4,4,2,1,1,1,2,
2,2,2,2,1],[1,10,29,7,15,4,60,29,68,16,4,8,1,10,3,20,17,30,60,8,20,4,4,8,4,16,
4,8,2,2,4,2,24,8,8,1,1,15,15,4,1,2,3,1,2,4,2,4,4,4,2,2,4,2,4,2,8,8,4,4,4,1,1,
2,1,1,1,2,1,2,2,1,2,4,2,2,2,1,1,1,2,2,1],[1,10,29,15,7,60,4,29,68,16,4,8,10,1,
3,20,17,30,60,20,8,4,4,4,8,4,16,8,2,4,2,2,24,8,8,1,1,15,15,4,1,2,3,1,2,4,2,4,
4,4,2,2,4,2,2,4,8,8,4,4,4,1,1,2,1,1,1,2,1,2,2,1,2,4,2,2,2,1,1,1,2,2,1],[1,10,
29,7,15,4,60,29,68,20,8,1,10,3,20,17,30,60,8,20,4,4,8,4,16,4,8,10,2,4,2,16,8,
8,1,1,15,15,4,1,2,4,3,1,4,2,2,4,4,2,2,4,2,4,2,8,8,4,4,4,1,1,2,1,1,1,2,1,2,2,1,
2,4,2,2,2,1,1,1,2,2,1],[1,10,29,15,7,60,4,29,68,20,8,10,1,3,20,17,30,60,20,8,
4,4,4,8,4,16,8,10,4,2,2,16,8,8,1,1,15,15,4,1,2,4,3,1,4,2,2,4,4,2,2,4,2,2,4,8,
8,4,4,4,1,1,2,1,1,1,2,1,2,2,1,2,4,2,2,2,1,1,1,2,2,1],[1,10,13,3,3,4,4,29,20,
16,20,16,1,1,3,3,5,8,8,4,4,4,4,6,6,4,4,2,16,8,8,24,16,1,1,2,2,1,4,2,2,4,4,4,2,
2,2,2,2,2,2,2,4,4,4,2,2,2,2,4,1,1,1,1,1,2,2,2,4,4,2,2,2,2,1,1,1,1,1,1,1,1],[1,
10,13,3,3,4,4,29,20,16,20,16,1,1,3,3,5,8,8,4,4,4,4,6,6,4,4,2,16,8,8,24,16,1,1,
2,2,1,4,2,2,4,4,4,2,2,2,2,2,2,2,2,4,4,4,2,2,2,2,4,1,1,1,1,1,2,2,2,4,4,2,2,2,2,
1,1,1,1,1,1,1,1],[1,6,25,7,5,12,16,15,20,20,28,3,2,3,2,3,2,8,8,8,16,4,8,4,12,
8,10,10,6,2,16,8,16,4,1,1,4,2,4,1,1,1,1,2,4,2,2,4,2,2,2,4,4,2,3,2,4,4,2,4,2,4,
4,1,2,2,1,1,2,2,1,1,1,1,2,2,2,4,2,1,1,1,2,2,1],[1,6,25,5,7,16,12,15,20,20,28,
2,3,3,2,3,2,8,8,8,4,16,4,8,12,8,10,6,10,2,16,16,8,4,1,1,4,4,2,1,1,1,1,2,4,2,2,
4,2,2,2,4,4,2,3,2,4,4,2,2,4,4,4,1,2,2,1,1,2,2,1,1,1,1,2,2,2,4,2,1,1,1,2,2,1],[
1,6,25,7,5,12,16,15,20,16,4,28,3,2,3,2,3,2,8,8,8,16,4,8,4,12,8,2,10,6,2,8,16,
24,4,1,1,4,2,4,1,1,1,1,2,2,2,4,2,2,2,4,4,4,2,3,2,4,4,2,4,2,4,4,1,2,2,1,1,2,2,
1,1,1,1,2,2,4,2,2,1,1,1,2,2,1],[1,6,25,5,7,16,12,15,20,16,4,28,2,3,3,2,3,2,8,
8,8,4,16,4,8,12,8,2,6,10,2,16,8,24,4,1,1,4,4,2,1,1,1,1,2,2,2,4,2,2,2,4,4,4,2,
3,2,4,4,2,2,4,4,4,1,2,2,1,1,2,2,1,1,1,1,2,2,4,2,2,1,1,1,2,2,1],[1,10,21,8,5,5,
16,16,5,20,8,8,32,2,2,2,2,1,2,2,2,8,8,4,4,4,32,16,2,2,8,8,6,6,16,16,4,4,1,1,1,
2,4,4,1,2,2,2,4,4,4,4,4,4,1,4,4,4,2,4,4,4,4,1,2,2,2,2,2,1,2,1,4,4,4,1,1,1,2,2,
1],[1,14,9,2,8,3,3,13,18,8,16,12,6,9,2,8,4,4,4,8,6,6,6,6,6,10,6,4,48,4,8,1,3,
2,3,12,12,12,1,2,2,4,2,4,4,1,2,4,4,4,4,4,4,2,3,1,2,1,4,2,4,2,2,4,1,1,1,2,2,
1],[1,16,27,16,2,5,22,8,40,40,8,8,18,2,7,2,1,6,12,6,4,4,16,8,16,8,4,4,4,24,4,
14,16,8,4,3,2,8,10,4,8,2,4,1,2,1,2,2,1,2,1,3,2,2,2,4,2,4,4,1,3,4,2,2,2,8,8,4,
2,8,8,8,2,4,2,4,4,2,2,1,1,2,2,2,1,1,2,2,2,1,1,2,2,1,2,2,1,1,1,1,1,1,1,1],[1,
16,27,16,5,2,8,22,40,40,8,8,18,2,7,2,1,6,12,6,4,16,4,8,8,16,4,4,24,4,14,4,16,
8,4,3,2,8,10,4,8,2,4,1,2,1,2,2,1,2,1,3,2,2,2,4,2,4,4,1,3,4,2,2,2,8,8,4,2,8,8,
8,2,4,2,4,4,2,2,1,1,2,2,2,1,1,2,2,2,1,1,2,2,1,2,2,1,1,1,1,1,1,1,1],[1,4,39,11,
2,52,30,6,32,12,22,9,2,8,4,3,2,4,4,16,4,4,4,4,20,8,8,8,14,20,24,6,7,8,10,8,2,
4,1,2,1,2,2,1,2,3,1,2,8,4,2,5,2,5,6,4,6,8,4,8,8,8,6,2,4,4,2,2,1,3,2,2,1,1,2,2,
2,3,1,2,1,2,2,1,1,1,1,1,1,1,1],[1,4,39,2,11,30,52,6,32,12,22,9,8,2,3,4,2,4,4,
4,16,4,4,4,8,20,8,8,20,14,24,6,7,10,8,8,2,4,1,2,1,2,2,1,2,3,1,2,8,4,2,5,2,5,6,
4,8,6,8,4,8,8,6,2,4,4,2,2,1,3,2,2,1,1,2,2,2,3,1,2,1,2,2,1,1,1,1,1,1,1,1],[1,
22,17,2,16,5,5,4,4,41,26,8,24,12,1,1,3,3,6,11,4,8,6,26,22,22,4,4,4,4,8,14,14,
4,4,2,12,24,4,16,20,1,1,1,3,3,3,4,1,4,4,4,3,3,9,2,2,4,4,2,2,2,2,4,2,2,3,3,1,1,
2,2,2,2,2,4,4,3,3,3,3,5,5,3,2,2,6,6,6,6,4,8,24,24,24,1,1,1,1,2,1,1,3,3,3,1,1,
1,1,1,1,1,2,3,3,3,6,6,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1],[1,12,23,16,5,42,18,8,8,30,3,2,15,12,2,12,40,14,16,9,2,
10,4,12,2,4,1,1,3,3,9,9,2,6,4,9,2,4,6,4,2,4,2,4,4,3,3,2,2,1,9,1,1,2,2,1,2,2,1,
1,1,1,1,1,1,1],[1,12,23,16,5,42,18,8,8,30,3,2,15,12,2,12,40,14,16,9,2,10,4,2,
12,4,1,1,3,3,9,9,2,6,4,9,2,4,6,4,2,4,2,4,4,3,3,2,2,1,9,1,1,2,2,1,2,2,1,1,1,1,
1,1,1,1],[1,35,11,50,28,20,18,7,8,2,17,28,14,40,10,5,10,4,2,8,4,1,1,1,2,3,5,3,
10,6,6,5,10,10,6,2,4,4,5,3,2,1,3,6,3,1,2,1,2,2,1,1,1,1,1,1,1,1],[1,35,11,28,
50,20,18,7,2,8,17,28,14,40,10,5,10,2,4,8,4,1,1,1,2,3,5,3,10,6,6,5,10,10,6,2,4,
4,5,3,2,1,3,6,3,1,2,1,2,2,1,1,1,1,1,1,1,1],[1,6,25,2,7,7,8,8,9,18,12,20,2,2,6,
9,8,4,4,8,8,8,8,4,4,4,4,6,6,2,2,8,8,16,4,4,8,1,1,2,2,1,4,4,4,1,1,1,1,1,1,2,2,
4,4,2,2,2,2,2,2,4,4,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,1,1,1,2,2,1,1,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,4,23,3,2,4,30,6,16,20,22,
1,2,3,2,4,4,4,12,4,8,4,14,4,14,7,4,10,8,2,4,4,1,1,2,2,1,3,8,4,3,1,6,2,2,2,2,2,
4,2,3,2,6,4,6,2,4,4,1,2,2,1,2,2,3,2,1,2,3,1,2,2,1,2,2,1,1,1,1,1,1,1,1],[1,4,
23,2,3,30,4,6,16,20,22,1,2,3,2,4,4,4,4,12,4,8,14,14,4,7,4,10,8,4,2,4,1,1,2,2,
1,3,8,4,3,1,6,2,2,2,2,2,4,2,3,2,6,4,6,2,4,4,1,2,2,1,2,2,3,2,1,2,3,1,2,2,1,2,2,
1,1,1,1,1,1,1,1],[1,8,19,1,2,22,12,24,8,8,26,1,2,1,2,6,4,4,4,4,4,16,14,4,4,7,
6,4,10,4,8,2,4,4,1,1,2,2,1,1,2,2,6,4,2,1,3,2,2,4,2,4,2,4,1,2,2,2,8,2,4,2,4,4,
1,2,2,1,2,2,1,2,2,1,2,1,1,2,2,2,1,2,2,1,1,1,1,1,1,1,1],[1,8,19,2,1,22,12,24,8,
8,26,1,2,1,2,6,4,4,4,4,4,16,14,4,7,4,6,4,10,4,8,4,2,4,1,1,2,2,1,1,2,2,6,4,2,1,
3,2,2,4,2,4,2,4,1,2,2,2,8,2,4,2,4,4,1,2,2,1,2,2,1,2,2,1,2,1,1,2,2,2,1,2,2,1,1,
1,1,1,1,1,1],[1,18,29,16,7,7,20,20,33,28,8,24,8,3,3,3,3,2,2,3,4,2,2,8,8,6,18,
26,26,8,8,8,8,32,32,14,14,2,2,12,24,4,20,1,1,1,1,3,3,3,4,3,3,9,2,2,2,2,2,2,2,
2,2,2,1,1,1,1,2,2,2,2,2,4,4,5,5,2,2,2,2,3,3,3,3,3,4,6,6,6,6,6,6,4,4,8,24,24,
24,1,1,1,1,1,1,1,1,1,2,2,2,2,2,1,3,3,3,1,1,1,2,2,2,3,3,3,6,6,2,2,2,2,4,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,4,31,9,8,42,6,8,8,8,22,
2,1,2,15,2,8,20,16,14,4,16,4,5,2,4,8,10,4,2,4,1,1,2,1,2,4,4,3,2,1,2,2,4,6,4,2,
1,3,2,2,4,6,4,2,4,2,4,4,1,2,2,1,1,2,1,2,2,2,2,2,1,1,2,2,1,2,2,1,1,1,1,1,1,1,
1],[1,4,31,9,42,8,6,8,8,8,22,2,1,2,15,2,8,20,16,4,14,16,4,5,2,4,10,8,4,2,4,1,
1,2,1,2,4,4,3,2,1,2,2,4,6,4,2,1,3,2,2,4,6,4,2,4,2,4,4,1,2,2,1,1,2,1,2,2,2,2,2,
1,1,2,2,1,2,2,1,1,1,1,1,1,1,1],[1,35,11,12,50,20,18,3,2,17,28,14,12,24,22,5,
10,2,4,1,3,1,10,5,7,6,6,3,5,6,10,6,2,4,4,3,2,1,1,2,5,6,3,1,2,1,2,2,1,1,1,1,1,
1,1,1],[1,35,11,50,12,20,18,3,2,17,28,12,14,24,22,5,10,2,4,1,3,1,10,5,7,6,6,3,
5,6,10,6,2,4,4,3,2,1,1,2,5,6,3,1,2,1,2,2,1,1,1,1,1,1,1,1],[1,17,17,17,1,1,1,
1],[1,12,3,4,36,16,1,18,12,12,3,12,16,1,32,1,8,4,4,1,3,3,4,4,2,1,1,1],[1,12,3,
4,36,16,1,18,12,12,3,12,16,1,32,1,8,4,4,1,3,3,4,4,2,1,1,1],[1,6,9,40,2,3,3,9,
18,24,6,9,16,18,12,12,8,1,6,8,1,1,2,1],[1,15,16,24,5,30,24,15,16,20,10,12,8,1,
6,8,1,1,2,1],[1,15,16,24,5,30,24,15,16,20,10,12,8,1,6,8,1,1,2,1],[1,12,27,4,1,
27,27,18,18,12,36,12,9,9,9,36,1,4,36,36,9,1,3,3,12,1,3,3,2,2,1,1,1,4,1],[1,10,
9,4,9,12,18,12,12,4,9,18,1,12,4,12,9,1,1,1,12,1,2,4,1,2,1],[1,34,9,4,48,45,18,
20,12,28,18,36,9,1,12,28,36,9,1,1,1,8,12,1,2,4,4,4,1,2,4,1],[1,22,9,4,24,27,6,
18,16,12,16,9,9,9,1,6,14,24,2,6,9,1,1,1,4,6,6,1,2,2,2,2,2,1,1,1,1],[1,24,27,4,
1,24,45,27,6,16,36,24,9,9,6,18,9,1,4,6,14,48,36,2,6,9,1,3,3,4,12,6,2,6,6,6,6,
1,3,3,2,2,2,2,6,1,1,1,2,2,1],[1,10,9,4,9,18,12,12,4,9,18,1,12,9,1,1,1,1,2,1,2,
1],[1,3,36,4,9,1,3,9,27,27,3,9,1,16,33,12,9,3,9,3,9,9,9,9,4,1,2,1,3,9,3,12,9,
3,3,9,4,4,4,1,3,6,3,3,1,3,3,3,3,3,1,4,3,3,1,1,1,1],[1,3,36,4,9,3,1,27,9,27,3,
9,1,16,33,12,9,9,3,3,9,9,9,9,4,1,2,3,1,3,9,12,9,3,3,9,4,4,4,1,3,6,3,1,3,3,3,3,
3,3,1,4,3,3,1,1,1,1],[1,18,21,1,12,3,10,27,27,12,4,3,7,36,9,12,9,3,12,18,9,4,
1,2,3,1,3,9,9,12,3,3,9,4,4,4,1,3,6,3,3,1,3,3,3,3,3,1,4,3,3,1,1,1,1],[1,30,9,
13,1,30,27,9,12,47,3,21,3,9,12,18,9,4,3,1,3,21,9,3,3,3,9,4,8,10,3,1,3,3,3,3,3,
3,1,4,3,3,1,1,1,1],[1,49,1,7,7,49,1,1],[1,49,8,14,1,1],[1,49,1,7,7,7,1,1],[1,
49,1,7,7,7,1,1],[1,7,1,7,1,7,1,1],[1,7,1,7,1,7,1,1],[1,25,25,6,25,30,1,1,1,
1],[1,20,15,5,30,30,30,16,5,15,60,15,16,1,15,15,5,1,1],[1,20,15,5,30,30,30,16,
5,15,60,15,16,1,15,15,5,1,1],[1,35,15,30,20,20,10,16,5,15,20,40,10,5,16,1,5,
10,5,10,5,1,1],[1,35,15,20,30,20,10,16,5,15,20,40,10,5,16,1,5,10,5,10,5,1,1],[
1,6,25,15,5,60,15,60,16,10,20,15,30,60,20,16,1,15,15,1,1,1],[1,6,25,5,15,60,
15,60,16,10,20,15,30,60,20,16,1,15,15,1,1,1],[1,21,28,7,7,21,28,8,21,7,7,8,7,
7,1],[1,21,28,7,7,21,28,8,21,7,7,8,7,7,1],[1,21,28,7,7,21,28,8,21,7,7,8,7,7,
1],[1,21,28,7,7,21,28,8,21,7,7,8,7,7,1],[1,21,28,7,7,21,28,8,21,7,7,8,7,7,1],[
1,9,4,1,3,3,4,1,3,1,9,4,1,1,3,3,4,3,1,1],[1,9,4,3,1,3,4,1,3,1,9,4,1,3,1,3,4,3,
1,1],[1,7,28,7,28,8,1,7,8,7,1,1],[1,7,28,7,28,8,1,7,8,7,1,1],[1,5,7,1,1,1,35,
1,1,7,7,7,5,1,7,1,1,1,5,1,1,1,1,1],[1,15,31,5,6,10,15,10,6,15,5,6,10,6,5,1,
1],[1,15,1,30,5,6,10,15,10,6,5,10,5,6,10,6,5,1,1],[1,18,45,64,6,45,15,180,135,
270,45,45,90,90,135,270,360,360,96,240,6,15,45,135,180,270,18,45,24,60,1,1],[
1,18,45,64,6,15,45,180,135,270,45,45,90,90,135,270,360,360,96,240,6,15,45,135,
180,270,18,45,24,60,1,1],[1,12,15,64,16,5,30,18,18,3,15,12,36,9,12,64,32,48,1,
1,3,3,9,9,9,3,3,9,4,4,12,1,1],[1,12,15,64,16,5,30,18,18,3,15,12,36,9,12,64,32,
48,1,1,3,3,9,9,9,3,3,9,4,4,12,1,1],[1,18,45,16,6,45,15,180,135,270,48,45,45,
90,90,135,270,360,360,8,12,16,6,15,45,135,180,270,12,24,24,18,45,1,8,12,1,3,
1],[1,18,45,16,6,15,45,180,135,270,48,45,45,90,90,135,270,360,360,8,12,16,6,
15,45,135,180,270,12,24,24,18,45,1,8,12,1,3,1],[1,18,45,16,6,15,45,180,135,
270,48,45,45,90,90,135,270,360,360,8,12,16,6,15,45,135,180,270,12,24,24,18,45,
1,8,12,1,3,1],[1,18,45,16,6,45,15,180,135,270,48,45,45,90,90,135,270,360,360,
8,12,16,6,15,45,135,180,270,12,24,24,18,45,1,8,12,1,3,1],[1,12,15,16,16,5,30,
18,18,48,3,15,12,36,9,12,4,4,16,1,1,3,3,9,9,9,12,12,12,3,3,9,4,4,12,1,1],[1,
12,15,16,16,5,30,18,18,48,3,15,12,36,9,12,4,4,16,1,1,3,3,9,9,9,12,12,12,3,3,9,
4,4,12,1,1],[1,27,16,11,28,30,12,6,48,7,8,15,12,24,6,3,4,8,4,4,16,1,1,1,2,3,3,
3,6,6,3,6,4,8,12,8,4,3,3,3,6,4,4,8,4,1,1],[1,27,16,11,30,28,12,6,48,7,8,15,12,
24,6,3,4,8,4,4,16,1,1,1,2,3,3,3,6,6,3,6,4,8,12,8,4,3,3,3,6,4,4,8,4,1,1],[1,12,
15,16,16,5,30,18,18,48,3,15,12,36,9,12,16,4,16,1,1,3,3,9,9,9,12,3,3,9,1,4,1,3,
1],[1,12,15,16,16,5,30,18,18,48,3,15,12,36,9,12,16,4,16,1,1,3,3,9,9,9,12,3,3,
9,1,4,1,3,1],[1,12,15,16,16,5,30,18,18,48,3,15,12,36,9,12,20,16,1,1,3,3,9,9,9,
12,3,3,9,1,4,1,3,1],[1,12,15,16,16,5,30,18,18,48,3,15,12,36,9,12,20,16,1,1,3,
3,9,9,9,12,3,3,9,1,4,1,3,1],[1,18,37,16,15,11,60,12,57,84,12,24,16,16,16,10,3,
9,20,21,30,60,20,24,12,12,12,24,12,48,24,6,12,6,6,24,8,12,16,1,3,15,15,3,6,9,
3,6,6,12,12,6,6,12,6,6,12,24,24,12,4,8,4,8,8,1,3,6,3,3,3,6,3,6,3,6,1,4,8,3,1,
1,1,1],[1,18,37,16,11,15,12,60,57,84,12,24,16,16,16,3,10,9,20,21,30,60,24,20,
12,12,24,12,48,12,24,6,6,12,6,24,8,12,16,1,3,15,15,3,6,9,3,6,6,12,12,6,6,12,6,
12,6,24,24,12,4,8,4,8,8,1,3,6,3,3,3,6,3,6,3,6,1,4,8,3,1,1,1,1],[1,6,49,16,15,
17,60,48,15,84,24,12,32,16,10,6,20,6,15,30,6,60,24,20,12,12,12,24,12,72,12,6,
6,6,24,8,12,16,1,3,15,15,3,6,3,9,6,6,12,6,6,12,18,12,6,24,24,8,16,4,8,8,1,3,6,
6,6,6,6,3,6,1,4,8,3,2,1,1],[1,6,49,16,17,15,48,60,15,84,24,12,32,16,6,10,6,20,
15,6,30,24,60,20,12,12,24,12,12,72,6,12,6,6,24,8,12,16,1,15,3,15,3,6,3,9,6,6,
12,6,6,12,12,18,6,24,24,8,16,4,8,8,1,3,6,6,6,6,6,3,6,1,4,8,3,2,1,1],[1,34,21,
16,2,48,9,3,36,75,66,24,12,32,16,3,13,6,14,15,36,30,32,48,24,12,12,24,72,6,12,
36,8,12,16,3,1,3,3,12,12,3,6,6,6,12,12,6,6,12,12,36,36,8,16,4,8,8,1,3,6,6,6,
12,3,6,1,4,8,3,2,1,1],[1,34,21,16,2,48,3,9,36,75,66,24,12,32,16,3,13,6,14,15,
36,30,32,48,24,12,24,12,72,6,12,36,8,12,16,3,1,3,3,12,12,3,6,6,6,12,12,6,6,12,
12,36,36,8,16,4,8,8,1,3,6,6,6,12,3,6,1,4,8,3,2,1,1],[1,22,33,16,2,9,9,36,12,
81,90,24,12,16,16,16,3,3,7,9,6,14,21,30,32,48,24,12,24,12,24,12,12,24,24,12,6,
6,6,24,8,12,16,1,3,3,3,12,12,3,6,6,9,3,12,6,6,6,6,6,12,6,6,12,24,24,4,12,8,4,
8,8,1,3,6,3,3,3,6,3,6,3,6,1,4,8,3,1,1,1,1],[1,22,33,16,2,9,9,12,36,81,90,24,
12,16,16,16,3,3,9,7,6,14,21,30,32,24,48,12,24,24,12,12,24,12,24,6,12,6,6,24,8,
12,16,1,3,3,3,12,12,3,6,6,9,3,12,6,6,6,6,12,6,6,6,12,24,24,4,12,8,4,8,8,1,3,6,
3,3,3,6,3,6,3,6,1,4,8,3,1,1,1,1],[1,6,49,16,5,27,132,15,60,36,32,16,28,24,20,
15,30,60,20,36,36,72,18,36,8,12,16,1,3,15,15,9,18,18,18,18,36,36,8,16,4,8,8,1,
9,6,18,9,1,4,8,3,2,1,1],[1,6,49,16,27,5,132,15,60,36,32,16,28,24,20,15,30,60,
20,36,36,72,18,36,8,12,16,1,3,15,15,9,18,18,18,18,36,36,8,16,4,8,8,1,9,6,18,9,
1,4,8,3,2,1,1],[1,10,45,16,2,15,9,48,36,39,90,12,24,32,16,6,3,7,6,6,14,15,6,
30,24,32,48,12,12,24,36,36,24,6,6,12,6,24,8,12,16,1,3,3,3,12,12,3,6,6,3,9,12,
6,6,6,6,6,12,6,18,24,24,8,16,4,8,8,1,3,6,6,6,6,6,3,6,1,4,8,3,2,1,1],[1,10,45,
16,2,9,15,36,48,39,90,12,24,32,16,3,6,7,6,6,14,15,30,6,32,24,48,12,12,36,24,
36,24,6,12,6,6,24,8,12,16,1,3,3,3,12,12,3,6,6,3,9,12,6,6,6,6,6,12,6,18,24,24,
8,16,4,8,8,1,3,6,6,6,6,6,3,6,1,4,8,3,2,1,1],[1,6,33,16,19,5,84,15,60,12,48,16,
8,20,15,30,60,20,12,12,24,6,12,8,12,16,1,1,15,15,3,6,6,6,6,12,12,4,8,8,8,1,3,
2,6,3,1,4,1,1,2,1],[1,6,33,16,5,19,84,15,60,12,48,16,8,20,15,30,60,20,12,12,
24,6,12,8,12,16,1,1,15,15,3,6,6,6,6,12,12,4,8,8,8,1,3,2,6,3,1,4,1,1,2,1],[1,
18,21,16,2,16,9,3,36,51,66,12,48,3,9,6,14,15,12,30,32,48,12,12,24,6,12,8,12,
16,1,1,3,3,12,12,3,6,6,6,6,12,12,12,8,8,1,3,2,6,3,1,4,1,1,2,1],[1,18,21,16,2,
16,3,9,36,51,66,12,48,3,9,6,14,15,12,30,32,48,12,24,12,6,12,8,12,16,1,1,3,3,
12,12,3,6,6,6,6,12,12,12,8,8,1,3,2,6,3,1,4,1,1,2,1],[1,10,21,16,2,3,9,36,39,
66,24,24,16,3,7,6,14,15,30,32,48,12,24,36,8,12,16,1,3,3,12,12,6,6,6,6,6,6,24,
24,4,8,8,1,3,3,12,1,4,8,3,1,1],[1,10,21,16,2,9,3,36,39,66,24,24,16,3,7,6,14,
15,30,32,48,12,24,36,8,12,16,1,3,3,12,12,6,6,6,6,6,6,24,24,4,8,8,1,3,3,12,1,4,
8,3,1,1],[1,6,25,16,5,15,60,15,60,12,36,16,10,20,15,30,60,20,18,18,36,8,12,16,
1,15,15,3,9,18,18,18,18,4,8,8,1,9,9,1,4,8,3,1,1],[1,6,25,16,15,5,60,15,60,12,
36,16,10,20,15,30,60,20,18,18,36,8,12,16,1,15,15,3,9,18,18,18,18,4,8,8,1,9,9,
1,4,8,3,1,1],[1,43,16,15,4,98,12,30,32,16,1,2,45,36,30,24,6,3,18,2,4,8,16,3,3,
6,18,3,6,18,6,8,8,8,4,8,8,3,6,1,3,6,4,8,3,1,1],[1,43,16,15,98,4,12,30,32,16,1,
2,45,36,30,24,6,3,18,2,8,4,16,3,3,6,18,3,6,18,6,8,8,8,4,8,8,3,6,1,3,6,4,8,3,1,
1],[1,6,37,16,4,3,15,4,52,3,36,12,18,12,32,16,1,7,6,3,1,6,24,6,6,6,24,24,24,3,
9,6,3,6,2,4,4,4,16,3,6,3,3,6,3,6,6,3,3,6,3,6,6,8,8,8,4,4,4,8,3,3,3,1,3,3,3,4,
4,4,3,1,1],[1,6,37,16,4,15,3,52,4,3,36,12,18,12,32,16,7,1,6,3,1,6,24,6,6,6,24,
24,24,9,3,6,3,6,2,4,4,4,16,3,6,3,3,6,3,6,6,3,3,6,3,6,6,8,8,8,4,4,4,8,3,3,3,1,
3,3,3,4,4,4,3,1,1],[1,12,31,16,6,3,38,4,18,48,42,16,16,16,1,2,3,6,12,12,12,12,
12,12,24,30,9,18,2,8,4,16,3,3,6,12,6,3,6,6,12,6,4,8,4,8,4,8,8,3,6,1,3,6,4,8,3,
1,1],[1,12,31,16,3,6,4,38,18,48,42,16,16,16,1,2,3,6,12,12,12,12,12,24,12,30,9,
18,2,4,8,16,3,3,6,12,6,3,6,6,12,6,8,4,4,8,4,8,8,3,6,1,3,6,4,8,3,1,1],[1,18,25,
16,6,4,9,9,4,4,27,54,12,6,24,16,16,16,1,1,18,27,1,12,6,6,6,12,12,12,12,12,3,3,
6,6,3,6,2,4,4,4,16,3,3,3,6,6,3,6,3,3,6,6,3,6,6,4,4,4,4,4,4,4,4,4,8,3,3,3,1,3,
3,3,4,4,4,3,1,1],[1,6,25,16,5,15,60,15,60,4,12,16,10,20,15,30,60,20,6,6,12,8,
12,16,1,15,15,1,3,6,6,6,6,4,8,8,1,3,3,1,4,1,1,1],[1,6,25,16,15,5,60,15,60,4,
12,16,10,20,15,30,60,20,6,6,12,8,12,16,1,15,15,1,3,6,6,6,6,4,8,8,1,3,3,1,4,1,
1,1],[1,10,21,16,2,9,3,36,39,66,16,16,3,7,6,14,15,30,32,48,24,8,12,16,1,3,3,
12,12,4,12,12,4,8,8,1,6,1,4,1,1,1],[1,10,21,16,2,3,9,36,39,66,16,16,3,7,6,14,
15,30,32,48,24,8,12,16,1,3,3,12,12,4,12,12,4,8,8,1,6,1,4,1,1,1],[1,19,16,3,26,
4,12,18,16,1,2,3,12,6,6,9,6,12,2,12,8,4,16,3,3,6,6,3,6,6,6,12,12,4,8,8,1,3,3,
6,6,4,8,3,1,1],[1,19,16,3,4,26,12,18,16,1,2,3,12,6,6,9,6,2,12,12,4,8,16,3,3,6,
6,3,6,6,6,12,12,4,8,8,1,3,3,6,6,4,8,3,1,1],[1,43,16,15,26,28,18,32,16,7,2,3,
36,36,6,9,6,2,12,8,4,16,3,9,9,6,6,6,12,12,8,4,8,8,3,1,3,6,6,4,8,3,1,1],[1,43,
16,15,28,26,18,32,16,7,2,3,36,6,36,9,6,2,12,4,8,16,3,9,9,6,6,6,12,12,8,4,8,8,
3,1,3,6,6,4,8,3,1,1],[1,18,21,16,16,3,7,4,28,57,36,12,48,1,7,3,9,8,9,12,8,24,
12,12,36,12,18,6,6,12,8,4,4,4,16,1,1,1,3,3,3,3,2,18,6,18,6,6,12,12,12,24,24,
12,4,4,8,8,8,3,3,3,4,12,6,4,4,4,8,1,1,1],[1,18,21,16,16,7,3,28,4,57,36,12,48,
7,1,9,3,8,9,12,24,8,12,12,12,36,6,18,6,12,8,4,4,4,16,1,1,3,1,3,3,3,2,18,18,6,
6,6,12,12,12,24,24,12,4,4,8,8,8,3,3,3,4,12,6,4,4,4,8,1,1,1],[1,6,33,16,13,3,
80,4,15,36,12,48,14,1,3,16,6,3,6,24,8,24,24,24,6,6,6,24,8,8,4,16,2,1,3,6,3,2,
6,6,6,12,12,24,24,24,24,8,4,8,16,8,3,6,4,12,6,4,8,8,1,1,1],[1,6,33,16,3,13,4,
80,15,36,12,48,1,14,3,16,6,3,6,24,8,24,24,24,6,6,6,24,8,4,8,16,2,1,3,6,3,2,6,
6,6,12,12,24,24,24,24,4,8,8,16,8,3,6,4,12,6,4,8,8,1,1,1],[1,6,13,16,4,3,3,4,4,
3,12,12,30,12,16,1,1,3,1,6,6,6,9,9,6,6,6,3,6,2,4,4,4,16,3,6,6,6,3,3,6,6,3,6,3,
3,3,6,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,27,16,7,26,28,12,6,48,7,8,2,3,12,
6,24,6,3,6,2,8,4,16,1,3,6,3,6,6,6,4,8,8,8,3,1,3,4,1,1,1],[1,27,16,7,28,26,12,
6,48,7,2,8,3,12,6,24,6,3,6,2,4,8,16,1,3,6,3,6,6,6,4,8,8,8,3,1,3,4,1,1,1],[1,
19,16,3,26,4,16,6,16,1,2,3,12,6,12,3,6,2,8,4,16,1,6,3,6,3,6,6,4,8,8,1,3,3,4,1,
1,1],[1,19,16,3,4,26,16,6,16,1,2,3,12,6,12,3,6,2,4,8,16,1,6,3,6,3,6,6,4,8,8,1,
3,3,4,1,1,1],[1,18,13,16,16,3,3,4,4,33,12,16,16,1,1,3,3,3,4,6,18,18,18,12,12,
12,24,20,4,4,4,16,1,1,3,3,3,4,3,3,9,3,3,3,3,3,3,3,6,6,6,6,8,24,24,24,4,4,4,8,
1,3,3,3,3,3,3,6,6,4,4,4,8,1,1,1],[1,4,15,16,5,30,6,24,6,16,1,15,12,3,12,12,20,
16,1,3,6,3,6,4,1,3,3,1,4,3,1,1],[1,4,15,16,5,30,6,24,6,16,1,15,12,3,12,12,20,
16,1,3,6,3,6,4,1,3,3,1,4,3,1,1],[1,12,7,16,16,1,6,18,30,16,3,1,12,12,3,12,12,
16,4,16,1,3,6,3,6,4,1,3,3,1,4,3,1,1],[1,12,7,16,16,1,6,18,30,16,3,1,12,12,3,
12,12,16,4,16,1,3,6,3,6,4,1,3,3,1,4,3,1,1],[1,6,9,16,2,3,3,9,18,12,12,48,6,9,
6,6,6,6,6,6,48,4,16,1,3,3,12,12,12,12,3,4,4,1,1,1],[1,34,9,16,2,36,3,3,39,18,
12,30,32,16,3,1,6,9,9,12,42,24,12,12,3,9,6,15,6,6,8,12,16,1,9,3,3,6,9,3,6,6,6,
3,6,6,6,6,16,8,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,34,9,16,2,36,3,3,39,18,12,30,
32,16,1,3,6,9,9,12,42,12,24,12,9,3,6,15,6,6,8,12,16,1,3,9,3,6,3,9,6,6,6,3,6,6,
6,6,16,8,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,4,39,16,5,66,6,24,42,32,16,1,6,15,
6,36,24,42,3,6,30,6,20,16,1,3,18,3,6,18,12,6,12,24,4,1,6,3,3,6,1,4,3,2,1,1],[
1,4,39,16,5,66,6,24,42,32,16,1,6,15,6,36,24,42,3,6,30,6,20,16,1,3,18,3,6,18,
12,6,12,24,4,1,6,3,3,6,1,4,3,2,1,1],[1,12,31,16,5,54,18,24,42,16,16,16,3,4,15,
6,24,48,30,9,6,24,6,8,12,16,1,9,12,9,6,12,12,6,12,12,4,8,4,3,4,3,3,6,1,4,3,1,
1,1,1],[1,12,31,16,5,54,18,24,42,16,16,16,3,4,15,6,24,48,30,9,6,24,6,8,12,16,
1,9,12,9,6,12,12,6,12,12,4,8,4,3,4,3,3,6,1,4,3,1,1,1,1],[1,12,31,16,16,1,42,
18,24,24,18,32,16,3,6,1,12,6,12,24,18,48,3,6,18,12,6,16,4,16,1,3,6,12,3,6,12,
6,12,6,12,16,8,4,1,6,3,3,6,1,4,3,2,1,1],[1,12,31,16,16,1,42,18,24,24,18,32,16,
3,6,1,12,6,12,24,18,48,3,6,18,12,6,16,4,16,1,3,6,12,3,6,12,6,12,6,12,16,8,4,1,
6,3,3,6,1,4,3,2,1,1],[1,22,21,16,2,12,3,9,12,45,18,12,18,12,16,16,16,3,1,6,6,
9,3,12,6,12,30,6,12,12,12,9,3,6,6,9,6,6,8,12,16,1,3,3,6,3,6,6,3,3,6,6,6,3,6,
12,6,4,4,8,8,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,22,21,16,2,12,9,3,12,45,18,12,
18,12,16,16,16,3,6,1,6,9,3,12,6,12,6,30,12,12,12,3,9,6,6,9,6,6,8,12,16,1,3,3,
6,3,6,6,3,3,6,6,6,3,6,12,6,4,4,8,8,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,43,16,11,
78,12,12,30,32,16,3,4,21,48,30,24,6,9,24,6,8,12,16,1,3,6,12,9,6,24,18,4,8,4,8,
4,3,4,3,3,6,1,4,3,1,1,1,1],[1,43,16,11,12,78,12,30,32,16,3,4,21,48,30,24,6,9,
24,6,8,12,16,1,3,6,12,9,6,24,18,4,8,4,8,4,3,4,3,3,6,1,4,3,1,1,1,1],[1,6,9,16,
1,3,4,15,12,12,12,48,1,3,3,8,6,6,24,8,8,4,16,1,6,2,2,6,6,3,3,6,4,8,8,8,3,6,6,
4,8,8,1,1],[1,6,9,16,3,1,4,15,12,12,12,48,1,3,3,8,6,6,24,8,8,4,16,1,6,2,2,6,6,
3,3,6,4,8,8,8,3,6,6,4,8,8,1,1],[1,4,3,16,1,3,3,12,18,6,16,1,3,3,6,6,12,12,12,
4,16,3,3,3,6,6,6,4,1,3,3,4,3,1,1],[1,43,16,7,12,66,18,32,16,3,6,7,36,18,12,9,
18,6,12,4,16,1,3,9,18,18,6,12,12,8,4,1,3,3,6,6,1,4,3,1,2,1],[1,43,16,7,66,12,
18,32,16,3,6,7,36,12,18,9,18,6,12,4,16,1,3,9,18,18,6,12,12,8,4,1,3,3,6,6,1,4,
3,1,2,1],[1,27,16,11,12,30,12,6,48,3,15,12,12,24,18,3,4,16,1,3,1,6,3,3,6,3,3,
6,12,3,1,2,3,6,4,1,1,1,2,1],[1,27,16,11,30,12,12,6,48,3,15,12,12,24,18,3,4,16,
1,3,1,6,3,3,6,3,3,6,12,3,1,2,3,6,4,1,1,1,2,1],[1,28,3,16,1,24,15,3,12,6,6,32,
16,1,6,12,12,12,3,3,6,12,12,4,16,3,3,6,3,6,6,8,4,1,3,3,4,3,1,1],[1,19,16,7,12,
6,24,30,16,3,1,12,12,12,3,12,4,16,1,6,6,3,3,4,1,3,3,1,4,3,1,1],[1,19,16,7,6,
12,24,30,16,3,1,12,12,12,3,12,4,16,1,6,6,3,3,4,1,3,3,1,4,3,1,1],[1,32,27,4,1,
52,3,1,18,6,81,51,16,12,6,12,12,20,9,3,9,45,9,3,6,2,18,6,10,3,27,9,9,6,6,6,6,
66,12,3,9,9,24,12,1,4,4,12,20,12,4,4,1,3,1,3,3,1,3,3,3,3,3,3,3,9,3,3,3,9,3,3,
3,9,9,9,9,21,21,6,6,6,6,1,3,2,3,2,4,4,4,4,4,4,4,3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,
1,1,3,3,1,2,2,1,1,4,3,1,1,1,1,1,1,1,1],[1,32,27,4,1,52,1,3,6,18,81,51,16,12,6,
12,12,20,3,9,9,45,3,9,2,6,6,18,10,3,27,9,9,6,6,6,6,66,12,3,9,9,24,12,1,4,4,12,
20,12,4,4,3,1,3,1,1,3,3,3,3,3,3,3,3,9,3,3,3,9,3,3,3,9,9,9,21,9,21,6,6,6,6,1,3,
2,3,2,4,4,4,4,4,4,4,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,3,3,1,2,2,1,1,4,3,1,1,1,
1,1,1,1,1],[1,24,35,4,3,28,1,1,18,18,63,81,24,4,6,4,20,20,3,3,15,23,9,9,6,6,
18,18,18,1,9,3,3,6,6,6,6,90,12,3,3,3,36,12,1,4,4,12,12,20,4,4,1,1,3,3,3,3,1,3,
3,3,3,3,3,9,3,3,3,3,3,3,3,3,3,3,21,21,33,6,6,6,6,1,5,5,4,4,4,4,4,4,4,3,3,1,3,
3,3,3,3,3,3,3,3,3,3,3,1,1,5,3,3,1,1,4,3,1,1,1,1,1,1,1,1],[1,12,47,4,4,13,30,
64,30,72,16,18,4,20,20,10,3,8,3,6,6,12,6,12,24,12,8,4,6,24,6,18,12,18,12,24,
36,12,9,12,24,1,4,4,12,12,20,4,4,1,1,3,3,1,3,6,3,3,3,6,3,3,6,3,3,9,6,3,6,3,3,
9,9,12,12,12,12,12,12,1,1,2,2,1,2,2,4,4,4,4,4,4,4,1,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,1,1,1,1,1,2,2,2,2,1,1,4,3,1,1,1,1,1,1,1,1],[1,12,47,4,13,4,64,30,30,72,16,
18,4,20,20,10,3,8,6,3,6,6,12,24,12,8,12,4,6,6,24,12,18,12,18,24,36,12,9,12,24,
1,4,4,12,12,20,4,4,1,1,3,3,1,3,6,3,3,3,6,3,3,6,3,3,9,6,3,6,3,3,9,9,12,12,12,
12,12,12,1,1,2,2,1,2,2,4,4,4,4,4,4,4,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,
2,2,2,2,1,1,4,3,1,1,1,1,1,1,1,1],[1,49,49,8,56,1,1,1],[1,25,75,6,25,30,30,1,1,
3,1],[1,20,25,50,25,6,25,4,30,20,10,20,1,1,4,2,1,1],[1,10,25,25,50,6,25,2,30,
10,40,10,1,10,1,2,1,1,1,1],[1,21,16,24,1,9,9,24,18,30,9,5,8,6,3,4,9,3,3,9,3,
18,24,6,3,3,9,4,1,1,2,3,3,4,6,3,3,1,1],[1,12,27,16,24,1,27,27,12,36,48,9,5,8,
6,3,4,36,36,1,3,3,12,9,12,4,1,3,3,1,2,4,1,3,1,1],[1,21,16,24,1,9,9,42,30,9,5,
8,6,3,4,9,3,3,9,4,3,6,9,3,9,4,1,1,2,3,3,4,1,3,1,1],[1,27,18,7,6,27,27,9,6,30,
6,18,27,18,27,2,2,27,9,18,9,2,2,12,6,6,9,1,6,6,1,2,2,1,1,1,1],[1,18,45,10,6,
15,15,45,90,6,10,30,30,30,45,6,18,18,5,10,30,30,5,6,18,18,15,10,6,5,1,3,1],[1,
18,45,10,1,5,30,60,75,6,10,30,30,5,15,15,10,30,6,18,18,5,10,30,30,5,6,18,18,5,
10,10,6,5,1,1,2,1],[1,18,45,10,1,5,30,60,75,6,10,30,30,5,15,15,10,30,6,18,18,
5,10,30,30,5,6,18,18,5,10,10,6,5,1,1,2,1],[1,15,16,5,30,16,15,20,16,1,1,1,1],[
1,15,16,5,30,16,15,20,16,1,1,1,1],[1,16,15,10,5,30,40,6,10,10,10,5,30,6,6,6,5,
10,10,10,15,12,6,5,10,6,5,1,1,1],[1,16,15,10,5,30,40,6,10,10,10,5,30,6,6,6,5,
10,10,10,15,12,6,5,10,6,5,1,1,1],[1,16,15,10,5,15,15,10,30,6,10,10,10,5,15,15,
6,6,6,5,10,10,10,15,12,6,5,10,6,5,1,1,1],[1,36,15,10,40,5,60,30,6,30,10,30,5,
15,30,30,15,6,6,6,5,10,30,30,15,12,6,10,5,10,6,5,1,2,1,1],[1,36,15,10,40,5,60,
30,6,30,10,30,5,15,30,30,15,6,6,6,5,10,30,30,15,12,6,10,5,10,6,5,1,2,1,1],[1,
36,15,10,5,40,45,15,30,6,30,10,30,5,15,30,30,15,6,6,6,5,10,30,30,15,12,6,10,5,
10,6,5,1,2,1,1],[1,8,15,4,1,15,15,30,30,1,20,5,15,15,1,3,3,1,20,4,15,1,6,6,3,
3,5,4,1,3,3,5,1,4,3,1,1],[1,3,7,60,1,21,1,28,1,14,7,3,1,8,4,1,7,3,4,1,1,2,1],[
1,3,7,60,1,21,1,28,15,7,3,1,8,4,1,7,3,4,1,1,2,1],[1,30,81,10,57,57,180,180,
261,522,36,36,45,45,45,45,90,90,174,261,270,270,360,360,360,360,36,36,36,36,
72,72,72,72,144,18,18,18,18,18,18,144,6,6,29,45,45,135,135,180,180,270,270,9,
9,36,36,36,18,18,18,18,18,18,18,18,36,36,36,36,18,18,18,18,18,18,18,18,36,36,
36,36,36,36,36,36,144,144,144,144,18,18,45,45,9,9,9,9,36,36,36,36,72,6,6,6,6,
18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,18,18,18,18,36,36,36,36,9,24,
1,1,18,18,18,18,18,18,18,18,6,9,9,9,3,3,9,1],[1,30,81,6,16,33,45,156,180,225,
414,36,36,21,45,21,45,24,18,90,114,153,12,90,270,96,360,144,360,36,36,36,108,
72,72,72,72,72,144,18,54,18,18,18,18,36,72,144,24,24,6,3,1,15,9,45,135,9,180,
36,270,36,9,9,9,18,9,36,36,36,6,6,6,18,36,36,18,18,18,18,18,18,36,36,36,54,18,
18,18,54,18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,72,72,144,144,144,144,
72,72,72,72,18,3,45,9,9,9,9,9,9,18,36,36,36,36,72,6,6,6,18,18,18,18,18,18,18,
18,18,36,36,36,6,18,9,9,18,18,18,36,36,9,12,12,36,36,12,36,18,18,18,18,36,18,
18,36,18,18,36,18,18,36,36,36,36,36,36,36,36,36,36,36,36,1,2,6,3,9,18,18,18,
18,3,3,6,18,6,9,9,18,18,9,9,9,9,18,36,18,18,18,18,18,36,18,18,36,36,36,36,36,
36,3,6,18,9,9,18,1],[1,30,81,6,16,45,33,180,156,225,414,36,36,45,21,45,21,24,
90,18,114,153,12,270,90,360,96,360,144,36,36,108,36,72,72,72,72,72,144,54,18,
18,18,18,18,36,72,144,24,24,6,3,1,15,45,9,9,135,36,180,36,270,9,9,9,18,9,36,
36,36,6,6,6,18,36,36,18,18,18,18,18,18,36,36,36,54,18,18,18,18,54,18,18,18,18,
36,36,36,36,36,36,36,36,36,36,72,72,144,144,144,144,72,72,72,72,18,45,3,9,9,9,
9,9,9,18,36,36,36,36,72,6,6,6,18,18,18,18,18,18,18,18,18,36,36,36,6,18,9,9,18,
18,18,36,36,9,12,12,36,36,12,36,18,18,18,18,36,18,18,36,18,18,36,18,18,36,36,
36,36,36,36,36,36,36,36,36,36,1,2,6,3,9,18,18,18,18,3,3,6,18,6,9,9,18,18,9,9,
9,9,18,36,18,18,18,18,18,36,18,18,36,36,36,36,36,36,3,6,18,9,9,18,1],[1,22,57,
6,21,45,36,180,165,318,16,12,60,3,45,7,45,6,90,98,141,30,270,32,360,48,360,12,
12,12,12,24,24,24,24,48,6,6,6,30,6,6,48,24,48,6,15,3,45,135,3,180,12,270,12,3,
4,12,3,12,12,12,6,6,12,6,18,12,12,12,12,24,24,6,6,6,6,6,6,6,6,12,12,12,12,12,
12,12,12,48,48,48,48,18,1,45,3,3,3,3,12,12,12,12,24,2,2,6,6,6,6,6,6,12,12,6,6,
6,6,12,12,12,3,12,12,12,12,24,24,1,6,6,6,6,1,3,6,6,6,6,3,3,1,3,3,1],[1,22,57,
6,45,21,180,36,165,318,16,12,60,45,3,45,7,90,6,98,141,270,30,360,32,360,48,12,
12,12,12,24,24,24,24,48,6,6,30,6,6,6,48,24,48,6,15,45,3,3,135,12,180,12,270,3,
4,12,3,12,12,12,6,6,12,6,18,12,12,12,12,24,24,6,6,6,6,6,6,6,6,12,12,12,12,12,
12,12,12,48,48,48,48,18,45,1,3,3,3,3,12,12,12,12,24,2,2,6,6,6,6,6,6,12,12,6,6,
6,6,12,12,12,3,12,12,12,12,24,24,1,6,6,6,6,1,3,6,6,6,6,3,3,1,3,3,1],[1,30,65,
6,16,21,49,36,204,193,334,16,28,36,3,51,7,51,8,6,90,98,145,12,30,270,32,360,
48,376,16,20,28,60,28,48,24,48,40,48,48,64,26,10,18,6,6,10,20,24,24,64,8,6,1,
1,15,3,47,135,3,180,12,270,12,3,5,5,4,6,3,16,12,12,2,4,8,4,6,6,4,6,10,6,6,6,6,
12,16,16,12,12,4,12,24,24,24,24,22,12,6,10,10,22,10,14,6,6,12,12,12,16,12,24,
12,20,20,20,24,24,24,24,64,48,48,64,24,24,18,1,45,3,5,5,3,3,3,4,6,12,12,16,12,
24,2,2,2,2,6,6,6,2,6,2,6,6,4,6,2,6,6,8,12,16,12,12,4,12,24,24,4,3,3,6,2,6,6,6,
4,12,12,12,12,3,4,12,2,2,2,4,2,2,4,6,4,8,4,4,8,8,4,4,4,4,4,4,4,4,8,4,1,1,3,4,
6,2,6,6,6,6,1,1,3,4,6,1,1,2,2,2,2,2,3,1,3,4,4,4,4,2,2,2,4,4,2,4,4,1,1,1,1,1,1,
1,2,2,2,2,1],[1,30,65,6,16,49,21,204,36,193,334,16,28,36,51,3,51,7,8,90,6,98,
145,12,270,30,360,32,376,48,16,20,28,28,60,24,48,40,48,48,48,64,10,26,6,18,6,
10,20,24,24,64,8,6,1,1,15,47,3,3,135,12,180,12,270,3,5,5,4,6,3,12,16,12,2,4,8,
4,6,6,6,4,10,6,6,6,6,12,16,12,16,4,12,12,24,24,24,24,22,12,10,6,22,10,14,10,6,
6,12,12,12,12,16,12,24,20,20,20,24,24,24,24,48,64,48,64,24,24,18,45,1,3,5,5,3,
3,3,4,6,12,12,12,16,24,2,2,2,2,6,6,6,2,2,6,6,4,6,2,6,6,6,8,12,16,12,12,12,4,
24,24,4,3,3,2,6,6,6,6,12,4,12,12,12,3,4,12,2,2,2,4,2,2,4,6,4,8,4,4,8,8,4,4,4,
4,4,4,4,4,8,4,1,1,3,4,6,6,2,6,6,6,1,1,3,4,6,1,1,2,2,2,2,2,3,1,3,4,4,4,4,2,2,2,
4,4,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,22,73,6,53,21,244,36,165,334,20,60,57,3,
45,7,16,94,6,98,141,274,30,376,32,360,48,20,12,12,36,40,80,24,80,104,64,6,18,
10,30,10,6,64,64,8,6,2,15,45,3,3,137,12,180,12,270,2,3,16,5,12,16,12,2,2,2,4,
8,4,6,4,6,12,2,6,6,14,28,12,24,4,12,48,48,12,26,6,10,18,6,6,6,10,10,12,20,12,
12,16,12,40,12,64,64,64,48,64,48,24,24,18,45,1,2,3,5,3,3,16,16,12,12,12,24,2,
2,12,6,6,4,4,6,14,6,6,2,6,16,24,12,4,12,4,48,2,2,6,2,6,6,12,12,4,12,24,3,4,12,
2,2,4,2,4,2,2,6,8,4,4,8,4,4,4,8,4,4,8,8,8,4,1,6,8,6,6,2,6,6,1,6,8,2,2,2,2,4,3,
1,3,4,4,4,4,4,2,4,4,2,4,4,1,2,2,1,1,4,2,2,1],[1,22,73,6,21,53,36,244,165,334,
20,60,3,57,7,45,16,6,94,98,141,30,274,32,376,48,360,20,12,36,12,80,40,80,24,
104,64,18,6,30,10,10,6,64,64,8,6,2,15,3,45,137,3,180,12,270,12,2,3,16,5,16,12,
12,2,2,2,4,8,4,4,6,6,12,6,2,14,6,28,24,12,12,4,48,48,12,26,10,6,6,18,6,6,10,
10,12,12,20,16,12,40,12,12,64,64,48,64,64,48,24,24,18,1,45,2,3,3,5,3,16,12,16,
12,12,24,2,2,6,12,4,6,4,6,14,6,6,2,6,16,24,4,12,4,12,48,2,2,6,6,2,6,12,12,12,
4,24,3,4,12,2,2,4,2,4,2,2,6,8,4,4,8,4,4,4,8,4,4,8,8,8,4,1,6,8,6,6,6,2,6,1,6,8,
2,2,2,2,4,3,1,3,4,4,4,4,4,2,4,4,2,4,4,1,2,2,1,1,4,2,2,1],[1,38,57,6,48,45,21,
180,36,205,318,32,36,12,45,3,49,11,90,6,98,141,44,270,30,360,32,360,48,32,12,
52,44,60,24,24,24,24,128,48,10,18,6,6,6,14,36,64,48,8,6,2,2,15,45,3,3,135,12,
180,12,270,6,2,3,8,4,4,3,12,12,12,2,4,4,8,12,6,6,12,6,6,4,24,12,12,24,8,8,48,
48,4,12,6,6,6,6,18,10,10,6,6,12,12,12,12,12,12,12,32,16,20,28,24,48,64,48,48,
48,48,8,16,16,8,18,45,1,3,2,6,3,3,3,8,4,4,12,12,12,12,24,4,2,2,6,6,6,6,6,12,6,
4,24,4,4,12,24,12,8,48,4,6,6,12,2,6,12,12,24,4,3,8,4,4,2,4,4,4,4,2,4,4,8,8,8,
8,8,4,4,4,4,4,4,4,4,4,1,2,2,12,6,6,6,6,1,2,12,2,2,1,1,2,2,2,3,1,3,4,4,4,4,2,2,
2,8,2,8,1,2,2,1,1,2,2,2,2,1],[1,38,57,6,48,21,45,36,180,205,318,32,36,12,3,45,
11,49,6,90,98,141,44,30,270,32,360,48,360,32,12,52,60,44,24,24,24,24,128,48,
18,10,6,6,6,14,36,64,48,8,6,2,2,15,3,45,135,3,180,12,270,12,2,6,3,4,8,4,3,12,
12,12,2,4,4,8,12,6,6,6,12,6,24,4,12,12,24,8,48,8,48,12,4,6,6,6,6,10,18,10,6,6,
12,12,12,12,12,12,12,16,32,20,28,48,24,64,48,48,48,48,8,16,16,8,18,1,45,3,6,2,
3,3,3,4,8,4,12,12,12,12,24,2,4,2,6,6,6,6,6,12,6,24,4,4,4,12,24,12,48,8,4,6,6,
2,12,6,12,12,4,24,3,8,4,4,2,4,4,4,4,2,4,4,8,8,8,8,8,4,4,4,4,4,4,4,4,4,1,2,12,
2,6,6,6,6,1,2,12,2,2,1,1,2,2,2,3,1,3,4,4,4,4,2,2,2,8,2,8,1,2,2,1,1,2,2,2,2,
1],[1,14,49,2,17,9,100,36,69,130,16,28,52,15,3,7,7,16,10,6,22,21,34,30,48,32,
48,48,12,4,4,28,24,32,8,32,40,32,10,22,14,26,14,10,48,24,96,8,2,1,3,3,3,5,12,
12,12,12,2,5,4,12,7,20,24,20,2,2,2,4,8,4,4,8,4,4,8,6,4,4,14,12,12,8,16,12,8,
12,8,8,12,10,2,6,14,2,2,2,6,6,4,12,4,4,8,4,16,4,32,32,32,16,32,16,24,24,1,1,2,
1,3,1,1,8,8,4,4,4,8,4,4,4,6,2,8,4,4,2,2,4,6,4,6,4,4,4,8,8,12,8,4,5,4,12,2,2,4,
2,4,2,2,6,8,8,4,4,8,4,4,4,8,4,8,4,8,8,8,8,4,2,2,1,1,1,2,2,2,4,2,2,4,2,2,1,1,4,
4,2,4,4,2,4,4,1,2,2,1,1,1],[1,14,49,2,9,17,36,100,69,130,16,28,52,3,15,7,7,16,
6,10,22,21,30,34,32,48,48,48,12,4,28,4,32,24,32,8,40,32,22,10,26,14,14,10,48,
24,96,8,2,1,3,3,5,3,12,12,12,12,2,5,4,12,7,24,20,20,2,2,2,4,8,4,8,4,4,4,8,4,6,
14,4,12,12,16,8,8,12,12,8,8,12,10,6,2,2,14,2,2,6,6,4,4,12,8,4,16,4,4,32,32,16,
32,32,16,24,24,1,1,2,1,1,3,1,8,4,8,4,4,8,4,4,4,6,2,8,4,4,2,2,4,4,6,6,4,4,4,8,
8,8,12,4,5,4,12,2,2,4,2,4,2,2,6,8,8,4,4,8,4,4,4,8,8,4,4,8,8,8,8,4,2,2,1,1,1,2,
2,2,4,2,2,4,2,2,1,1,4,4,2,4,4,2,4,4,1,2,2,1,1,1],[1,22,41,2,16,13,9,60,36,97,
130,36,60,9,3,13,7,8,6,6,22,25,12,30,30,32,32,64,48,12,20,20,52,8,16,24,16,16,
32,14,30,10,30,10,14,20,40,96,8,1,1,1,5,3,3,3,12,12,12,12,3,5,7,10,5,20,24,20,
2,4,8,4,6,4,4,4,8,14,10,4,4,14,8,8,16,12,8,16,16,22,4,6,2,18,6,10,6,2,2,4,4,4,
4,8,4,8,20,12,20,8,8,16,32,16,32,24,24,1,1,3,3,5,1,1,1,2,4,4,4,8,8,2,2,2,2,2,
2,4,2,6,8,4,4,3,5,6,4,4,4,2,8,12,8,8,8,5,4,12,2,2,2,4,2,2,4,6,8,4,8,4,4,8,8,4,
4,8,4,8,4,8,8,8,4,1,1,2,1,2,2,1,1,2,4,2,2,4,2,2,1,1,4,4,2,4,4,2,4,4,1,2,2,1,1,
1],[1,22,41,2,16,9,13,36,60,97,130,36,60,3,9,7,13,8,6,6,22,25,12,30,30,32,32,
48,64,12,20,52,20,16,8,16,24,16,32,30,14,30,10,10,14,20,40,96,8,1,1,1,3,5,3,3,
12,12,12,12,3,5,7,10,5,24,20,20,2,4,8,4,6,4,4,8,4,14,4,10,14,4,8,16,8,8,12,16,
16,22,4,2,6,6,18,6,10,2,2,4,4,4,8,4,8,4,20,12,20,8,8,32,16,16,32,24,24,1,1,3,
3,5,1,1,1,2,4,4,8,4,8,2,2,2,2,2,2,4,2,6,8,4,4,3,5,4,6,4,4,2,12,8,8,8,8,5,4,12,
2,2,2,4,2,2,4,6,8,4,8,4,4,8,8,4,4,8,4,8,4,8,8,8,4,1,1,2,1,2,2,1,1,2,4,2,2,4,2,
2,1,1,4,4,2,4,4,2,4,4,1,2,2,1,1,1],[1,22,57,2,16,13,17,60,100,97,146,16,44,28,
9,15,13,7,16,8,6,10,22,25,12,30,34,32,48,64,48,20,20,44,52,32,32,48,16,40,16,
32,80,18,30,10,10,6,6,36,8,32,24,48,8,8,1,2,1,1,5,3,5,3,12,12,12,12,2,3,9,3,4,
2,8,3,8,8,4,2,2,2,4,2,4,16,8,4,8,4,10,4,12,6,4,10,2,6,2,4,16,12,8,8,4,4,4,8,8,
16,16,12,22,10,4,10,2,18,18,10,6,6,6,4,4,12,8,16,16,8,20,12,20,8,32,8,32,8,16,
48,32,32,24,24,24,24,1,1,2,3,3,5,1,3,1,2,8,4,8,4,8,8,2,2,2,4,4,4,6,6,6,2,4,2,
2,6,4,4,8,8,4,4,4,2,4,2,5,2,1,2,2,2,2,4,4,4,8,1,4,4,12,12,2,2,6,6,2,4,4,2,2,2,
4,4,4,2,2,4,6,6,8,4,16,4,4,4,4,8,4,8,8,8,4,4,4,4,8,4,4,4,4,4,12,4,4,8,4,4,1,2,
1,2,2,1,1,2,3,1,2,2,2,2,3,1,2,2,2,2,1,1,1,4,4,4,4,4,4,4,4,2,2,2,2,4,4,4,4,2,2,
4,4,4,4,1,1,2,1,1,1,1,1,2,2,2,1],[1,22,57,2,16,17,13,100,60,97,146,16,44,28,
15,9,7,13,8,16,10,6,22,25,12,34,30,48,32,48,64,20,20,52,44,32,32,16,48,16,40,
32,80,30,18,10,10,6,6,36,32,8,24,48,8,8,2,1,1,1,3,5,3,5,12,12,12,12,3,2,9,3,4,
8,2,3,8,8,4,2,2,2,2,4,16,4,4,8,8,10,4,4,12,4,6,2,10,2,6,4,12,16,8,8,4,4,4,8,
16,8,16,22,12,4,10,2,10,18,18,6,10,6,6,4,12,4,16,8,8,16,20,12,20,8,8,32,8,32,
48,16,32,32,24,24,24,24,1,1,3,2,3,5,3,1,1,8,2,8,4,8,4,8,2,2,4,2,4,6,4,6,2,6,4,
2,6,2,4,4,8,8,4,4,4,2,2,4,5,1,2,2,2,2,4,2,4,4,8,1,4,4,12,12,2,2,6,2,6,4,4,2,2,
2,4,4,4,2,2,4,6,6,4,8,16,4,4,4,4,8,8,4,8,8,4,4,4,4,8,4,4,4,4,4,12,4,4,8,4,4,1,
1,2,2,2,1,1,2,3,1,2,2,2,2,3,1,2,2,2,2,1,1,1,4,4,4,4,4,4,4,4,2,2,2,2,4,4,4,4,2,
2,4,4,4,4,1,1,2,1,1,1,1,1,2,2,2,1],[1,30,49,2,48,17,9,100,36,109,130,32,20,36,
15,3,11,11,16,10,6,22,21,44,34,30,48,32,48,48,16,12,28,20,44,24,32,8,64,40,
112,32,6,18,14,10,6,10,20,32,16,64,32,8,8,2,2,2,1,3,3,3,5,12,12,12,12,2,2,2,1,
4,8,4,8,4,3,4,8,4,2,2,2,2,4,4,4,8,8,16,4,4,4,12,2,4,6,16,4,12,8,4,8,16,8,8,16,
8,16,8,4,16,10,2,14,14,2,6,6,10,6,6,4,12,4,4,8,4,16,16,16,12,12,24,32,32,32,
40,32,16,32,16,8,16,16,24,8,24,1,1,2,1,2,2,3,1,1,4,4,4,8,8,4,4,4,8,4,4,4,4,6,
4,2,4,8,4,8,8,4,4,4,8,8,2,2,4,2,2,2,2,8,4,4,4,4,4,1,4,8,12,4,4,2,2,2,4,4,2,4,
4,8,8,4,2,2,4,6,2,4,4,8,4,4,8,8,4,16,8,8,4,4,8,8,8,4,4,4,4,8,4,4,16,4,4,2,2,2,
2,1,1,1,1,2,2,2,4,2,2,2,2,4,2,1,1,1,4,4,8,4,4,8,2,2,2,2,4,4,8,2,2,4,4,8,2,2,1,
1,1,2,2,2,2,1],[1,30,49,2,48,9,17,36,100,109,130,32,20,36,3,15,11,11,16,6,10,
22,21,44,30,34,32,48,48,48,16,12,28,44,20,32,24,64,8,40,112,32,18,6,10,14,6,
10,20,16,32,64,32,8,8,2,2,2,1,3,3,5,3,12,12,12,12,2,2,2,1,8,4,4,4,8,3,8,4,4,2,
2,2,2,4,4,4,8,8,16,4,4,12,4,2,6,4,4,16,12,8,8,4,16,8,8,16,16,8,8,16,4,10,14,2,
2,14,6,6,10,6,6,4,4,12,8,4,16,4,16,16,12,12,32,24,32,32,40,16,32,32,16,8,16,
16,24,8,24,1,1,2,1,2,2,1,3,1,4,4,4,8,4,8,4,4,8,4,4,4,4,6,4,2,8,4,8,4,8,4,4,4,
8,8,2,2,4,2,2,2,8,2,4,4,4,4,4,1,4,8,12,4,4,2,2,2,4,4,4,2,4,8,4,8,2,2,4,6,2,4,
4,8,4,8,4,8,4,8,16,8,4,4,8,8,8,4,4,4,4,8,4,4,16,4,4,2,2,2,2,1,1,1,1,2,2,4,2,2,
2,2,2,4,2,1,1,1,4,4,8,4,4,8,2,2,2,2,4,4,8,2,2,4,4,8,2,2,1,1,1,2,2,2,2,1],[1,
22,41,2,16,13,9,60,36,97,130,20,44,9,3,13,7,8,6,6,22,25,12,30,30,32,32,64,48,
12,20,20,52,8,16,24,16,16,32,6,22,18,6,2,6,20,8,32,32,8,16,1,1,1,5,3,3,3,12,
12,12,12,3,5,3,2,8,1,4,8,4,2,4,8,4,6,4,6,8,6,8,2,8,8,4,16,16,22,4,6,2,18,6,10,
6,2,2,4,4,4,4,8,4,8,20,12,20,8,8,16,32,16,32,24,24,8,8,8,1,1,3,3,5,1,1,1,2,4,
4,4,8,8,2,2,2,2,2,2,4,2,6,8,4,4,3,4,1,2,2,4,8,1,4,12,2,2,2,4,2,2,4,6,4,8,4,4,
8,8,4,4,4,4,8,4,4,4,4,4,4,8,1,1,2,1,2,1,1,2,2,2,1,1,2,2,2,4,4,2,2,4,4,4,4,4,4,
1,1,1,2,2,1],[1,22,41,2,16,9,13,36,60,97,130,20,44,3,9,7,13,8,6,6,22,25,12,30,
30,32,32,48,64,12,20,52,20,16,8,16,24,16,32,22,6,6,18,2,6,20,32,8,32,8,16,1,1,
1,3,5,3,3,12,12,12,12,3,5,3,8,2,1,8,4,4,2,4,8,4,6,4,8,6,6,2,8,8,8,4,16,16,22,
4,2,6,6,18,6,10,2,2,4,4,4,8,4,8,4,20,12,20,8,8,32,16,16,32,24,24,8,8,8,1,1,3,
3,5,1,1,1,2,4,4,8,4,8,2,2,2,2,2,2,4,2,6,8,4,4,3,1,4,2,2,4,8,1,4,12,2,2,2,4,2,
2,4,6,4,8,4,4,8,8,4,4,4,4,8,4,4,4,4,4,4,8,1,1,2,1,2,1,1,2,2,2,1,1,2,2,2,4,4,2,
2,4,4,4,4,4,4,1,1,1,2,2,1],[1,22,41,2,16,9,13,36,60,97,130,32,36,28,3,9,7,13,
8,6,6,22,25,12,30,30,32,32,48,64,12,20,52,20,16,8,16,24,16,32,22,14,6,10,2,6,
36,16,8,80,64,8,1,1,1,3,5,3,3,12,12,12,12,3,4,5,3,8,8,4,2,1,8,12,4,2,8,4,8,8,
8,8,4,6,4,4,4,6,4,6,2,4,8,16,8,8,8,4,16,8,8,16,16,22,4,2,6,6,18,6,10,2,2,4,4,
4,8,4,8,4,20,12,20,8,8,32,16,16,32,24,24,1,1,3,3,5,1,1,1,2,4,4,8,4,8,2,2,2,2,
2,2,4,2,6,8,4,4,3,2,1,2,4,2,8,4,2,4,8,4,1,4,12,2,4,4,2,2,4,2,2,4,6,4,8,4,4,8,
8,8,4,4,8,16,8,8,4,8,4,8,8,4,1,1,2,1,1,1,2,1,1,2,1,1,4,4,2,4,4,2,1,2,1,2,2,2,
2,2,4,4,2,4,4,8,2,1,1,1,2,2,2,2,2,1],[1,22,41,2,16,13,9,60,36,97,130,32,36,28,
9,3,13,7,8,6,6,22,25,12,30,30,32,32,64,48,12,20,20,52,8,16,24,16,16,32,14,22,
10,6,2,6,36,8,16,80,64,8,1,1,1,5,3,3,3,12,12,12,12,3,5,4,3,8,8,2,4,1,12,8,4,2,
4,8,8,8,8,8,4,4,6,4,6,4,6,4,4,2,16,8,8,8,8,4,16,8,8,16,16,22,4,6,2,18,6,10,6,
2,2,4,4,4,4,8,4,8,20,12,20,8,8,16,32,16,32,24,24,1,1,3,3,5,1,1,1,2,4,4,4,8,8,
2,2,2,2,2,2,4,2,6,8,4,4,2,3,2,1,2,4,4,8,2,4,8,4,1,4,12,4,2,4,2,2,4,2,2,4,6,4,
8,4,4,8,8,8,4,8,4,16,8,8,4,8,4,8,8,4,1,1,2,1,1,1,2,1,1,2,1,1,4,4,2,4,4,1,2,2,
1,2,2,2,2,2,4,4,2,4,4,8,2,1,1,1,2,2,2,2,2,1],[1,22,57,6,21,45,36,180,165,318,
16,28,12,3,45,7,45,6,90,98,141,30,270,32,360,48,360,12,12,12,12,24,24,24,24,
48,6,14,6,6,6,6,16,24,48,16,6,15,3,45,135,3,180,12,270,12,4,3,4,3,12,12,12,4,
6,6,10,6,4,12,12,4,16,16,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,48,48,48,48,
8,8,8,18,1,45,3,3,3,3,12,12,12,12,24,2,2,6,6,6,6,6,6,12,12,2,6,2,6,12,12,8,3,
4,4,4,4,4,4,4,4,4,8,1,6,6,6,6,2,1,1,2,3,3,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,22,57,
6,45,21,180,36,165,318,16,28,12,45,3,45,7,90,6,98,141,270,30,360,32,360,48,12,
12,12,12,24,24,24,24,48,14,6,6,6,6,6,16,24,48,16,6,15,45,3,3,135,12,180,12,
270,4,3,4,3,12,12,12,4,6,6,10,6,4,12,12,4,16,16,6,6,6,6,6,6,6,6,12,12,12,12,
12,12,12,12,48,48,48,48,8,8,8,18,45,1,3,3,3,3,12,12,12,12,24,2,2,6,6,6,6,6,6,
12,12,2,6,2,6,12,12,8,3,4,4,4,4,4,4,4,4,4,8,1,6,6,6,6,2,1,1,2,3,3,2,2,2,4,4,4,
4,1,1,1,2,2,1],[1,14,33,2,9,9,36,36,69,114,32,20,52,3,3,7,7,6,6,22,21,30,30,
32,32,48,48,4,4,4,4,8,8,8,8,16,10,2,18,10,2,2,16,16,32,48,16,1,3,3,3,3,12,12,
12,12,4,1,4,4,4,8,1,4,4,4,4,4,8,4,8,4,4,12,16,8,16,8,16,16,16,2,2,2,2,2,2,2,2,
4,4,4,4,4,4,4,4,16,16,16,16,1,1,1,1,1,1,4,4,4,4,8,2,4,2,6,2,8,8,4,1,4,4,4,4,4,
4,4,4,8,8,1,1,2,2,1,1,2,2,2,2,2,1,1,1,1,1],[1,14,33,2,9,9,36,36,69,114,32,20,
52,3,3,7,7,6,6,22,21,30,30,32,32,48,48,4,4,4,4,8,8,8,8,16,2,10,10,18,2,2,16,
32,16,48,16,1,3,3,3,3,12,12,12,12,4,1,4,4,8,4,1,4,4,4,4,8,4,4,4,8,12,4,16,16,
8,16,8,16,16,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,16,16,16,16,1,1,1,1,1,1,4,4,4,4,
8,2,2,4,2,6,8,4,8,1,4,4,4,4,4,4,4,4,8,8,1,2,1,2,1,1,2,2,2,2,2,1,1,1,1,1],[1,
46,49,2,112,13,13,60,60,229,178,16,44,20,9,9,25,25,8,8,6,6,22,37,140,30,30,32,
32,96,96,16,28,100,108,108,16,16,32,32,16,16,80,48,46,46,6,6,2,42,100,8,8,40,
48,56,1,1,7,7,1,9,9,3,3,12,12,12,12,7,7,23,23,21,4,4,28,2,2,1,8,8,4,14,14,42,
4,4,8,8,4,4,4,4,8,6,6,4,4,6,6,6,6,2,2,4,4,8,8,8,8,4,4,4,8,8,8,8,46,46,4,4,6,6,
42,42,46,46,42,2,2,4,4,4,8,8,8,8,92,92,84,100,24,24,8,8,8,8,40,32,32,16,48,56,
168,168,168,1,1,7,7,21,23,23,1,1,1,4,4,28,2,2,4,4,8,8,8,2,2,2,2,2,2,2,2,2,2,2,
2,4,4,2,2,6,6,4,4,4,4,8,8,4,4,4,8,8,4,4,4,3,3,1,1,2,2,2,2,2,2,4,4,4,4,1,28,84,
84,84,2,2,2,2,2,2,2,4,4,2,2,2,2,4,4,4,4,4,4,42,42,42,84,56,4,4,4,8,8,4,4,4,4,
8,8,8,8,8,8,8,4,4,4,4,8,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,2,2,2,2,7,7,
21,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,28,
4,4,4,4,2,2,2,4,4,4,4,8,2,2,2,4,4,4,4,8,4,4,4,1,2,2,2,2,1,1,1,1,1,1,2,2,2,2,4,
4,1],[1,14,33,2,9,9,36,36,69,114,32,52,20,3,3,7,7,6,6,22,21,30,30,32,32,48,48,
4,4,4,4,8,8,8,8,16,18,18,10,10,10,10,32,48,80,1,3,3,3,3,12,12,12,12,4,4,5,4,4,
5,20,20,20,4,4,4,4,4,4,8,8,4,4,4,4,8,8,8,8,8,16,16,32,2,2,2,2,2,2,2,2,4,4,4,4,
4,4,4,4,16,16,16,16,1,1,1,1,1,1,4,4,4,4,8,2,2,4,4,2,2,4,4,8,8,8,8,8,8,5,8,4,4,
4,4,4,4,4,4,2,2,2,1,1,1,1,2,2,2,2,1,1,1,1,1],[1,14,49,2,9,17,36,100,69,130,16,
28,52,3,15,7,7,16,6,10,22,21,30,34,32,48,48,48,12,4,28,4,32,24,32,8,40,32,22,
2,10,22,6,2,16,32,32,24,32,8,2,1,3,3,5,3,12,12,12,12,2,4,1,4,8,8,3,8,4,4,2,2,
2,4,8,8,4,8,4,6,6,8,4,12,8,4,4,16,16,16,16,12,10,6,2,2,14,2,2,6,6,4,4,12,8,4,
16,4,4,32,32,16,32,32,16,24,24,1,1,2,1,1,3,1,8,4,8,4,4,8,4,4,4,6,2,8,4,4,2,2,
2,2,4,2,2,4,4,8,8,1,4,12,2,2,4,2,4,2,2,6,8,4,4,8,4,4,4,8,4,4,4,4,4,4,8,4,2,2,
1,2,2,2,2,1,1,2,2,2,1,1,2,4,4,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,14,49,2,17,9,100,
36,69,130,16,28,52,15,3,7,7,16,10,6,22,21,34,30,48,32,48,48,12,4,4,28,24,32,8,
32,40,32,2,22,22,10,6,2,16,32,32,24,32,8,2,1,3,3,3,5,12,12,12,12,2,4,1,4,8,8,
3,4,8,4,2,2,2,4,8,8,4,4,8,6,8,6,4,12,8,4,4,16,16,16,16,12,10,2,6,14,2,2,2,6,6,
4,12,4,4,8,4,16,4,32,32,32,16,32,16,24,24,1,1,2,1,3,1,1,8,8,4,4,4,8,4,4,4,6,2,
8,4,4,2,2,2,4,2,2,2,4,4,8,8,1,4,12,2,2,4,2,4,2,2,6,8,4,4,8,4,4,4,8,4,4,4,4,4,
4,8,4,2,2,1,2,2,2,2,1,1,2,2,2,1,1,2,4,4,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,30,33,2,
48,9,9,36,36,109,114,16,12,68,3,3,11,11,6,6,22,21,44,30,30,32,32,48,48,16,4,
28,20,20,8,8,8,8,80,16,6,6,18,18,2,10,20,32,32,40,16,8,2,2,1,3,3,3,3,12,12,12,
12,2,2,1,4,4,4,8,8,1,4,4,4,2,4,4,8,8,8,8,8,4,4,4,16,16,16,16,8,8,8,8,4,4,2,2,
2,2,6,6,10,2,2,4,4,4,4,4,4,4,16,16,12,12,24,24,40,16,16,16,16,8,16,16,8,1,1,1,
2,2,1,1,1,4,4,4,4,4,4,4,8,4,4,4,4,4,8,8,4,4,4,2,2,4,4,8,8,1,8,4,4,2,4,4,4,4,2,
4,4,8,8,8,8,8,4,4,4,4,8,8,4,2,2,1,2,2,2,2,2,2,2,2,1,1,2,8,2,8,8,8,1,1,1,4,1],[
1,14,65,2,17,17,100,100,69,146,20,36,15,15,7,7,16,16,10,10,22,21,34,34,48,48,
48,48,20,4,28,28,48,48,32,32,40,40,48,14,14,14,14,10,2,32,32,48,8,8,16,2,2,1,
3,3,5,5,12,12,12,12,2,2,1,8,8,5,8,8,4,2,2,2,2,2,2,4,4,8,8,4,4,4,4,4,4,2,2,6,6,
12,12,8,8,4,4,12,12,10,10,6,6,14,14,2,2,10,10,4,12,12,8,8,16,16,4,32,32,32,32,
32,32,48,16,24,24,24,24,8,8,8,16,16,16,16,1,1,2,2,1,3,3,1,8,8,8,8,4,4,8,4,4,4,
4,4,4,6,6,2,2,8,8,4,4,4,4,2,2,2,2,2,2,2,2,4,4,4,4,1,4,4,12,12,2,2,2,2,4,4,2,2,
4,4,2,2,2,2,6,6,8,8,4,4,4,4,8,8,4,4,4,4,4,4,8,8,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,
8,16,2,2,2,2,1,1,2,2,2,2,1,1,1,2,2,2,2,4,4,4,4,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,1,1,1,2,2,2,2,4,1],[1,30,33,2,48,9,9,36,36,109,114,16,28,20,3,3,11,11,
6,6,22,21,44,30,30,32,32,48,48,16,4,28,20,20,8,8,8,8,80,16,14,14,10,10,10,18,
20,40,80,8,16,2,2,1,3,3,3,3,12,12,12,12,2,2,5,4,4,4,5,20,20,20,2,4,4,8,4,4,4,
4,4,4,4,4,4,4,8,8,8,8,4,8,8,8,8,4,4,2,2,2,2,6,6,10,2,2,4,4,4,4,4,4,4,16,16,12,
12,24,24,40,16,16,16,16,8,16,16,8,8,8,8,1,1,1,2,2,1,1,1,4,4,4,4,4,4,4,8,4,4,4,
4,4,8,8,4,4,4,2,2,4,4,8,8,8,8,4,4,5,8,4,4,2,4,4,4,4,2,4,8,4,8,8,8,8,8,4,4,4,4,
4,4,8,2,2,1,2,2,2,2,2,1,1,2,2,2,8,2,2,8,8,8,1,1,1,4,1],[1,14,33,2,9,9,36,36,
69,114,32,4,36,3,3,7,7,6,6,22,21,30,30,32,32,48,48,4,4,4,4,8,8,8,8,16,2,2,10,
10,2,2,16,16,48,16,16,1,3,3,3,3,12,12,12,12,1,4,4,4,4,1,4,4,4,4,4,4,4,12,12,
24,8,8,8,8,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,16,16,16,16,8,8,8,1,1,1,1,1,1,4,4,
4,4,8,2,2,6,6,4,4,1,4,4,4,4,8,8,4,4,4,4,4,8,1,1,1,1,2,2,2,2,1,2,2,2,1,1,1,1],[
1,10,61,15,23,52,124,29,100,36,40,9,22,3,16,8,4,24,17,4,34,16,76,8,20,8,4,4,
24,56,12,48,12,56,20,88,4,30,14,12,6,4,24,16,40,24,8,4,8,8,1,1,2,1,17,2,15,3,
6,2,4,10,3,6,1,2,2,1,5,18,8,10,5,15,2,8,2,18,6,12,12,12,8,14,5,8,8,2,10,8,12,
8,22,20,6,40,8,40,8,16,8,16,8,8,4,24,8,4,24,4,4,4,8,8,8,8,1,1,3,2,2,10,4,2,1,
1,8,8,2,1,2,2,5,4,2,6,4,12,1,3,3,3,2,4,2,6,4,12,2,6,2,1,8,6,4,2,6,1,3,8,2,6,1,
4,14,8,4,6,2,2,4,4,2,2,12,2,4,4,4,2,2,2,2,4,4,4,4,4,4,8,1,2,2,1,1,1,2,3,2,3,1,
2,4,2,2,2,2,4,1,2,1,2,1,1,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,
2,2,2,1],[1,10,61,23,15,124,52,29,100,36,40,22,9,3,8,16,24,4,17,34,4,76,16,20,
8,8,4,24,4,12,56,12,48,20,56,88,30,4,12,14,6,4,24,40,16,24,4,8,8,8,1,2,1,1,2,
17,15,3,6,2,10,4,3,6,2,1,2,1,5,18,8,10,5,15,2,8,2,18,6,12,12,12,8,5,14,8,8,2,
10,8,12,22,8,6,20,8,40,8,40,8,16,16,8,8,24,4,8,24,4,4,4,4,8,8,8,8,1,1,3,2,10,
2,4,2,1,1,8,8,2,1,2,2,5,4,2,6,4,12,1,3,3,3,2,4,2,6,4,12,2,6,2,1,8,6,4,2,6,1,3,
8,2,1,6,4,14,8,4,6,2,2,4,4,2,2,12,2,4,4,4,2,2,2,2,4,4,4,4,4,4,8,1,2,2,1,1,1,2,
3,2,3,1,2,4,2,2,2,2,4,1,2,1,2,1,1,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,
1,1,1,2,2,2,2,1],[1,18,53,16,23,11,124,12,57,100,16,12,48,22,3,9,16,24,21,12,
34,76,20,24,12,24,12,12,56,12,80,12,56,32,24,6,16,18,10,12,40,24,24,24,12,8,8,
1,2,1,3,17,15,3,4,10,6,5,6,2,3,3,3,6,12,8,9,3,12,6,4,6,6,12,4,12,12,8,8,6,3,
14,16,6,10,20,6,6,28,12,12,8,40,40,24,24,24,12,24,12,4,4,4,8,8,8,8,1,3,5,10,6,
3,4,3,3,6,3,4,4,4,6,6,12,1,3,3,2,3,6,6,4,12,2,6,3,6,6,6,4,4,9,3,3,6,6,12,6,6,
8,6,6,4,2,2,4,8,4,6,2,2,2,4,4,4,4,4,4,8,1,2,3,1,3,3,2,1,1,2,2,2,2,2,4,2,4,3,3,
1,3,6,2,2,6,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,18,53,16,11,23,12,
124,57,100,16,12,48,3,22,9,16,24,21,12,34,76,24,20,12,12,24,56,12,80,12,56,12,
32,24,6,18,16,10,12,24,40,24,24,8,12,8,1,2,1,3,17,15,3,4,6,10,5,6,3,2,3,3,6,
12,8,9,3,12,6,4,6,6,12,4,12,12,8,8,6,14,3,16,6,10,20,6,28,6,12,12,8,40,40,24,
24,12,24,12,24,4,4,4,8,8,8,8,1,3,5,10,6,3,4,3,3,6,3,4,4,4,6,6,12,1,3,3,2,3,6,
6,4,12,2,6,3,6,6,6,4,4,9,3,6,3,6,12,6,6,8,6,6,4,2,2,4,8,4,6,2,2,2,4,4,4,4,4,4,
8,1,2,3,1,3,3,2,1,1,2,2,2,2,2,4,2,4,3,3,1,3,6,2,2,6,2,2,2,2,2,2,2,2,2,2,1,1,1,
1,1,1,1,2,2,2,2,1],[1,10,45,15,15,60,52,29,84,16,28,40,10,9,3,8,20,4,17,30,4,
60,16,20,8,8,4,24,4,12,24,12,16,20,56,22,16,8,14,2,4,8,24,16,24,40,4,8,8,1,1,
1,2,15,15,3,2,2,2,4,6,4,1,6,4,1,2,1,2,2,5,10,8,4,6,5,7,2,2,4,2,2,4,12,10,6,12,
12,4,12,12,8,5,4,8,2,6,8,4,14,8,6,4,8,8,8,16,16,8,8,4,8,4,4,4,4,1,1,1,2,2,4,2,
1,1,4,4,2,1,2,2,5,2,6,4,1,3,1,2,2,3,6,2,4,2,6,2,6,2,1,2,4,2,4,2,6,1,3,8,2,1,4,
6,8,4,6,2,2,4,4,4,2,4,4,4,2,2,4,4,2,2,2,2,4,4,1,2,1,2,1,2,1,2,1,2,1,1,1,2,2,2,
1,2,1,1,2,2,2,2,4,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,10,45,15,15,52,60,29,
84,16,28,40,9,10,3,8,4,20,17,4,30,16,60,8,20,8,4,4,24,24,12,16,12,20,56,16,22,
14,8,2,4,8,16,24,24,40,4,8,8,1,1,1,15,2,15,2,3,2,2,4,4,6,1,4,6,1,2,2,1,5,2,10,
4,8,6,5,7,2,4,2,2,2,4,10,12,12,6,12,4,12,12,8,5,4,8,2,6,8,4,8,14,4,6,8,8,16,8,
16,8,8,4,8,4,4,4,4,1,1,1,2,2,4,2,1,1,4,4,2,1,2,2,5,2,6,4,1,3,1,2,2,3,2,6,4,2,
6,2,6,2,2,1,4,2,4,2,6,1,3,8,2,1,4,6,8,4,6,2,2,4,4,4,4,2,4,4,2,2,4,4,2,2,2,2,4,
4,1,2,1,2,1,2,1,2,1,2,1,1,1,2,2,2,1,2,1,1,2,2,2,2,4,2,2,2,2,2,2,2,2,2,1,1,1,1,
1,1,1,1],[1,18,37,16,11,15,12,60,57,84,36,48,3,10,9,20,21,12,30,60,24,20,12,
12,24,24,12,48,12,12,24,12,14,18,12,6,28,24,24,40,12,8,1,1,3,15,15,2,7,6,6,3,
4,6,3,2,3,3,2,6,4,12,4,9,3,12,4,2,2,6,6,12,12,6,12,12,12,6,3,12,6,6,12,6,12,6,
12,12,24,24,12,12,4,4,4,1,3,3,6,3,4,3,3,6,3,6,6,1,3,2,3,2,3,6,6,6,2,6,2,3,6,6,
6,9,3,3,6,12,6,6,6,4,4,6,4,4,2,4,2,6,2,2,2,4,4,1,3,2,3,3,1,1,2,1,3,2,2,3,1,3,
6,6,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,18,37,16,15,11,60,12,57,84,36,48,10,3,
9,20,21,12,30,60,20,24,12,24,12,12,24,12,48,12,24,14,12,12,18,6,28,24,24,40,
12,8,1,1,3,15,15,2,7,6,6,3,6,4,3,3,2,2,3,6,12,4,4,9,3,12,2,4,6,2,12,6,6,12,12,
12,12,6,3,12,6,6,12,6,6,12,12,12,24,24,12,12,4,4,4,1,3,3,6,3,4,3,3,6,3,6,6,1,
3,2,3,2,3,6,6,6,2,6,3,2,6,6,6,9,3,3,6,12,6,6,6,4,6,4,4,4,2,4,2,6,2,2,2,4,4,1,
3,2,3,3,1,1,2,1,3,2,2,3,1,3,6,6,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,22,41,2,
16,9,13,20,60,81,98,32,36,28,3,9,3,13,8,2,6,14,21,12,2,30,8,32,8,64,8,16,16,
40,24,16,16,16,16,16,8,40,32,26,22,10,10,6,10,28,16,8,64,48,8,16,1,1,1,1,5,3,
1,12,12,3,2,2,5,5,4,8,4,2,3,8,12,8,2,2,2,2,6,4,12,4,4,12,4,2,4,4,4,4,4,2,6,2,
2,6,16,4,8,8,4,12,8,16,4,12,4,12,18,2,4,2,2,2,8,18,8,6,2,2,4,4,4,4,8,12,12,12,
12,4,8,8,12,8,8,8,8,24,8,8,32,8,1,3,3,3,1,2,2,2,2,1,3,2,2,2,1,2,2,1,2,1,1,2,2,
2,4,2,2,2,4,4,1,1,1,1,4,2,8,2,2,2,6,6,6,2,4,12,2,6,4,4,2,2,2,3,2,6,2,3,4,2,2,
2,2,4,6,2,2,4,4,2,2,2,2,4,4,6,6,6,6,8,8,2,2,2,4,2,4,2,2,4,2,2,8,4,8,8,1,1,1,1,
1,1,1,1,1,1,1,1,2,4,1,1,1,1,2,1,2,1,1,1,1,2,2,2,2,2,2,2,2,2,4,2,2,2,1,3,2,2,2,
2,2,2,4,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,22,41,2,16,13,9,60,20,81,98,
32,36,28,9,3,13,3,8,6,2,14,21,12,30,2,32,8,64,8,8,16,16,24,40,16,16,16,16,8,
16,40,32,22,26,10,10,6,10,28,8,16,64,48,8,16,1,1,1,5,1,1,3,12,12,2,3,5,2,5,8,
4,2,4,3,12,8,8,2,2,2,2,6,12,4,4,4,12,4,4,2,4,4,4,2,4,2,6,6,2,4,16,8,8,12,4,8,
16,4,4,12,12,2,18,2,4,2,2,18,8,6,8,2,2,4,4,4,8,4,12,12,12,4,12,8,8,12,8,8,8,8,
8,24,8,32,8,1,3,3,3,1,2,2,2,2,1,2,3,2,2,2,1,1,2,2,1,1,2,2,2,2,4,2,2,4,4,1,1,1,
1,4,8,2,2,2,2,6,6,6,2,4,12,2,6,4,4,2,2,2,2,3,6,2,3,4,2,2,2,2,4,2,6,2,4,2,4,2,
2,2,4,4,6,6,6,6,8,2,8,2,2,2,4,4,2,4,2,2,8,2,4,8,8,1,1,1,1,1,1,1,1,1,1,1,1,2,4,
1,1,1,2,1,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,2,2,2,1,3,2,2,2,2,2,2,4,2,2,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1],[1,30,33,2,48,9,9,20,36,93,82,16,44,36,3,3,7,11,2,6,
14,17,44,2,30,8,32,8,48,8,8,40,40,40,8,16,8,32,8,40,16,18,22,14,10,6,14,44,16,
16,24,64,8,16,2,2,1,1,3,3,1,12,12,2,4,6,3,4,4,4,4,3,12,12,8,2,2,2,2,6,4,4,12,
4,12,4,8,4,4,4,4,8,6,8,4,6,4,8,4,12,8,4,4,8,8,4,12,4,12,8,6,2,2,6,4,2,8,10,10,
2,2,4,4,8,16,24,12,20,12,4,12,8,8,8,8,8,16,24,8,16,8,1,1,4,2,1,2,4,2,2,1,2,2,
3,2,1,1,2,1,2,6,1,2,2,2,2,2,2,4,4,4,1,2,1,4,2,2,2,2,6,6,6,4,2,8,4,4,2,6,2,4,4,
2,3,6,2,2,3,2,4,2,2,2,2,4,2,2,2,4,4,2,2,2,4,2,4,4,4,6,6,4,6,6,2,6,6,4,2,6,2,4,
6,4,2,4,8,8,1,1,1,1,1,1,1,1,1,1,1,1,2,3,2,1,2,3,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,
4,2,2,2,3,1,2,2,2,2,2,2,4,2,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,30,33,2,48,9,
9,36,20,93,82,16,44,36,3,3,11,7,6,2,14,17,44,30,2,32,8,48,8,8,8,40,40,40,16,8,
32,8,8,40,16,22,18,10,14,6,14,44,16,16,24,64,8,16,2,2,1,3,1,1,3,12,12,2,6,4,3,
4,4,4,4,3,12,12,8,2,2,2,2,4,6,12,4,12,4,4,4,8,4,4,8,4,8,6,6,4,4,8,12,4,4,8,4,
8,8,4,4,12,12,6,8,2,6,2,2,4,10,8,10,2,2,4,4,8,24,16,12,20,4,12,12,8,8,8,8,8,
24,16,8,16,8,1,1,2,4,1,2,4,2,2,2,1,2,3,2,1,1,2,2,1,1,6,2,2,2,2,2,2,4,4,1,4,1,
2,2,4,2,2,2,6,6,6,4,2,8,4,4,2,6,4,2,4,2,3,6,2,2,2,3,4,2,2,2,2,4,2,2,2,4,4,2,2,
4,2,2,4,4,6,4,6,6,4,6,2,6,6,2,4,6,4,2,6,4,2,4,8,8,1,1,1,1,1,1,1,1,1,1,1,1,2,2,
3,1,3,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,2,2,2,3,1,2,2,2,2,2,2,4,2,2,1,2,1,1,1,
1,1,1,1,1,1,1,1,1,1],[1,12,27,4,1,27,27,54,54,12,36,12,9,27,27,108,1,4,36,36,
27,1,3,3,12,9,1,3,3,6,6,1,3,3,12,3,1],[1,18,9,40,2,3,3,27,18,18,16,72,3,6,9,
18,18,9,16,18,12,12,8,1,9,9,16,12,12,6,3,8,1,1,2,1,3,1,1],[1,18,9,40,2,3,3,27,
18,18,16,72,3,6,9,18,18,9,16,18,12,12,8,1,9,9,16,12,12,6,3,8,1,1,2,1,3,1,1],[
1,12,15,16,24,5,30,18,18,16,48,24,3,15,36,9,16,20,10,12,8,1,9,9,16,12,12,6,3,
8,1,1,2,1,3,1,1],[1,12,15,16,24,5,30,18,18,16,48,24,3,15,36,9,16,20,10,12,8,1,
9,9,16,12,12,6,3,8,1,1,2,1,3,1,1],[1,27,16,24,5,48,18,16,72,3,15,18,18,9,16,
20,10,12,8,1,9,9,16,12,12,6,3,8,1,1,2,1,3,1,1],[1,27,16,24,5,48,18,16,72,3,15,
18,18,9,16,20,10,12,8,1,9,9,16,12,12,6,3,8,1,1,2,1,3,1,1],[1,42,9,40,2,36,3,3,
27,18,36,18,144,24,6,9,9,36,18,18,36,9,18,16,18,12,12,8,24,24,1,9,18,9,18,16,
12,12,60,6,24,9,8,1,1,2,6,6,8,3,3,6,1,1],[1,12,39,4,36,16,1,18,18,36,36,18,24,
120,12,12,3,12,9,18,18,72,9,18,16,1,32,1,8,4,4,12,12,12,12,1,9,18,9,18,16,6,
48,6,24,3,3,12,12,9,4,4,2,1,1,3,3,3,3,4,4,6,3,3,1,1],[1,12,39,4,36,16,1,18,18,
36,36,18,24,120,12,12,3,12,9,18,18,72,9,18,16,1,32,1,8,4,4,12,12,12,12,1,9,18,
9,18,16,6,48,6,24,3,3,12,12,9,4,4,2,1,1,3,3,3,3,4,4,6,3,3,1,1],[1,51,16,24,5,
84,54,48,96,24,9,15,54,54,27,16,20,10,12,8,24,24,1,27,27,16,12,36,36,6,24,9,8,
1,1,2,6,6,8,3,3,6,1,1],[1,51,16,24,5,84,54,48,96,24,9,15,54,54,27,16,20,10,12,
8,24,24,1,27,27,16,12,36,36,6,24,9,8,1,1,2,6,6,8,3,3,6,1,1],[1,12,27,4,1,27,
27,18,18,12,36,12,9,9,9,36,36,1,4,36,36,9,18,1,3,3,12,9,1,3,3,2,2,1,1,1,4,4,1,
2,1],[1,30,9,4,36,52,1,3,63,12,12,4,12,36,3,9,45,3,27,9,9,9,9,16,1,32,1,8,4,4,
12,12,12,12,3,1,3,9,9,9,9,16,1,3,3,9,4,12,3,4,4,2,1,1,3,3,3,3,4,4,1,3,1,1],[1,
30,9,4,36,52,3,1,63,12,12,4,12,36,9,3,45,3,27,9,9,9,9,16,1,32,1,8,4,12,4,12,
12,12,1,3,3,9,9,9,9,16,1,3,3,9,4,12,3,4,4,2,1,3,1,3,3,3,4,4,1,3,1,1],[1,18,21,
4,36,3,16,1,18,36,45,12,4,12,36,12,3,9,12,9,6,18,12,36,18,16,1,32,1,8,12,4,4,
12,12,12,1,3,3,18,18,16,1,3,3,3,6,4,12,3,4,4,2,1,1,3,3,3,3,4,4,1,3,1,1],[1,18,
21,4,36,3,16,1,18,36,45,12,4,12,36,12,3,9,12,9,6,18,12,36,18,16,1,32,1,8,12,4,
4,12,12,12,1,3,3,18,18,16,1,3,3,3,6,4,12,3,4,4,2,1,1,3,3,3,3,4,4,1,3,1,1],[1,
36,27,4,1,48,63,27,12,18,18,20,36,36,9,18,12,36,36,9,9,18,36,1,4,12,28,60,36,
4,12,9,9,18,9,18,1,3,3,8,12,12,4,12,12,12,12,9,1,3,3,2,2,4,4,4,4,12,1,1,1,4,2,
2,4,4,4,1,1,1,2,2,1],[1,49,49,49,8,56,14,14,1,1,1,1],[1,7,49,49,1,7,1,7,7,7,7,
7,1,1,1,1],[1,15,10,5,31,10,6,15,5,10,5,6,10,6,1,5,1],[1,25,25,25,6,25,30,25,
30,1,1,1,1,1,1],[1,18,45,6,15,45,180,135,270,16,45,45,90,90,135,270,360,360,
48,6,15,45,135,180,270,16,18,45,1,1,3,1],[1,18,45,6,45,15,180,135,270,16,45,
45,90,90,135,270,360,360,48,6,15,45,135,180,270,16,18,45,1,1,3,1],[1,6,65,25,
15,80,60,15,100,40,20,16,10,10,10,20,15,10,30,40,60,20,20,20,40,20,20,120,10,
20,10,10,40,32,16,1,15,5,15,5,10,5,15,10,10,20,10,10,20,20,30,10,40,40,16,1,5,
10,10,10,10,10,5,10,5,1,2,1,1],[1,6,65,15,25,60,80,15,100,40,20,16,10,10,20,
10,15,30,10,60,40,20,20,20,20,40,20,120,20,10,10,10,40,32,16,1,5,15,15,5,10,5,
15,10,10,20,10,10,20,30,20,10,40,40,16,1,5,10,10,10,10,10,5,10,5,1,2,1,1],[1,
26,45,15,15,20,60,85,100,20,40,16,5,10,15,20,25,30,60,40,20,20,20,40,20,80,20,
40,10,10,20,10,40,16,16,16,1,5,15,15,5,10,15,5,10,10,20,20,10,10,20,10,20,10,
40,40,16,1,5,10,5,5,5,10,5,10,5,10,5,1,1,1,1,1],[1,26,45,15,15,60,20,85,100,
20,40,16,10,5,15,20,25,30,60,20,40,20,20,20,40,20,80,40,10,20,10,10,40,16,16,
16,1,5,15,15,5,10,15,5,10,10,20,20,10,10,20,10,10,20,40,40,16,1,5,10,5,5,5,10,
5,10,5,10,5,1,1,1,1,1],[1,35,15,20,30,60,10,16,5,15,20,40,30,5,20,16,1,10,5,
10,5,10,10,16,5,5,5,5,1,1,1],[1,35,15,30,20,60,10,16,5,15,20,40,30,5,20,16,1,
10,5,10,5,10,10,16,5,5,5,5,1,1,1],[1,20,15,5,30,30,40,30,16,5,15,60,15,20,20,
16,1,15,10,15,10,16,5,5,5,5,1,1,1],[1,20,15,5,30,30,40,30,16,5,15,60,15,20,20,
16,1,15,10,15,10,16,5,5,5,5,1,1,1],[1,22,21,28,7,7,63,42,28,28,28,8,7,7,21,21,
21,21,21,7,7,28,8,21,8,7,7,7,7,7,7,8,7,7,1,1],[1,1,42,28,7,7,21,21,21,21,21,
56,28,8,7,7,21,21,21,21,21,7,7,28,8,21,8,7,7,7,7,7,7,8,7,7,1,1],[1,43,28,7,70,
42,56,28,8,7,7,42,42,21,7,7,28,8,21,8,7,7,14,7,7,8,7,7,1,1],[1,43,28,7,70,42,
56,28,8,7,7,42,42,21,7,7,28,8,21,8,7,7,14,7,7,8,7,7,1,1],[1,21,22,28,7,7,42,
21,21,21,28,28,28,8,7,7,21,21,21,21,21,7,7,28,8,21,8,7,7,7,7,7,7,8,7,7,1,1],[
1,1,28,21,28,8,7,7,21,28,8,21,8,7,7,8,7,7,1],[1,15,28,7,28,84,8,7,8,7,28,8,1,
8,7,14,8,7,1,1,1,1],[1,15,28,7,28,84,8,7,8,7,28,8,1,8,7,14,8,7,1,1,1,1],[1,22,
14,21,3,2,3,1],[1,45,40,15,15,45,36,120,45,10,36,15,15,10,15,15,10,6,6,1],[1,
25,31,5,15,15,6,20,55,15,10,6,15,5,15,10,15,6,10,20,6,5,15,6,5,10,1,6,5,1,1,
1],[1,45,31,5,45,45,6,110,45,45,10,6,15,5,45,15,6,10,20,18,45,15,6,5,10,1,6,5,
3,1,1],[1,15,30,1,30,5,45,45,6,10,10,90,15,30,45,10,6,5,10,5,15,30,15,6,10,10,
10,18,15,30,15,6,5,10,1,6,5,3,1,1],[1,18,45,31,5,45,45,6,11,105,45,15,10,6,18,
18,15,5,45,15,6,10,20,18,15,5,6,6,6,5,10,1,6,5,3,1,1],[1,18,69,64,6,15,57,252,
135,270,12,72,64,63,45,24,90,90,135,270,360,360,12,36,72,72,144,18,36,72,96,
240,6,3,15,45,135,180,270,3,18,18,18,36,36,72,72,18,36,18,36,72,72,16,96,18,
45,3,18,18,18,24,36,72,9,18,36,24,60,1,9,12,9,12,12,16,3,1,1],[1,18,69,64,6,
57,15,252,135,270,12,72,64,63,45,24,90,90,135,270,360,360,12,36,72,72,144,18,
36,72,96,240,6,3,15,45,135,180,270,3,18,18,18,36,36,72,72,18,36,18,36,72,72,
16,96,18,45,3,18,18,18,24,36,72,9,18,36,24,60,1,9,12,9,12,12,16,3,1,1],[1,42,
45,64,6,48,15,45,180,171,270,48,36,64,45,51,90,90,135,36,270,360,360,48,36,72,
36,144,18,36,72,96,240,6,3,15,45,135,180,270,9,12,18,18,36,36,72,72,18,18,36,
36,72,72,48,64,18,45,9,12,6,18,36,36,72,9,18,36,24,60,1,3,18,3,18,4,24,3,1,
1],[1,42,45,64,6,48,45,15,180,171,270,48,36,64,45,51,90,90,135,36,270,360,360,
48,36,36,72,144,18,36,72,96,240,6,3,15,45,135,180,270,9,12,18,18,36,36,72,72,
18,18,36,36,72,72,48,64,18,45,9,12,6,18,36,36,72,9,18,36,24,60,1,3,18,3,18,4,
24,3,1,1],[1,22,57,64,6,21,45,36,180,165,318,12,12,64,3,45,7,45,6,90,98,141,
30,270,32,360,48,360,12,12,12,12,24,24,24,24,48,6,6,6,6,6,6,48,96,240,6,15,3,
45,135,3,180,12,270,12,3,3,12,12,12,6,6,6,6,12,12,6,6,6,6,6,6,6,6,12,12,12,12,
12,12,12,12,48,48,48,48,16,32,32,18,1,45,3,3,3,3,12,12,12,12,24,2,2,6,6,6,6,6,
6,12,12,6,6,12,12,3,24,60,1,6,6,6,6,3,3,4,8,8,1,1,1],[1,22,57,64,6,45,21,180,
36,165,318,12,12,64,45,3,45,7,90,6,98,141,270,30,360,32,360,48,12,12,12,12,24,
24,24,24,48,6,6,6,6,6,6,48,96,240,6,15,45,3,3,135,12,180,12,270,3,3,12,12,12,
6,6,6,6,12,12,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,48,48,48,48,16,32,32,18,
45,1,3,3,3,3,12,12,12,12,24,2,2,6,6,6,6,6,6,12,12,6,6,12,12,3,24,60,1,6,6,6,6,
3,3,4,8,8,1,1,1],[1,30,81,16,6,45,33,180,108,225,414,36,36,16,48,48,45,9,45,
21,90,18,114,153,270,90,360,96,360,144,36,36,36,36,72,72,72,72,144,18,18,18,
18,18,18,144,8,12,16,48,48,6,15,45,9,9,135,36,180,36,270,9,9,36,36,36,18,18,
18,18,36,36,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,144,144,144,144,
12,12,24,12,24,24,16,18,45,3,9,9,9,9,36,36,36,36,72,6,6,18,18,18,18,18,18,36,
36,18,18,36,36,9,1,8,12,12,12,24,24,1,18,18,18,18,9,9,1,3,3,12,3,1,3,3,1],[1,
30,81,16,6,33,45,108,180,225,414,36,36,16,48,48,9,45,21,45,18,90,114,153,90,
270,96,360,144,360,36,36,36,36,72,72,72,72,144,18,18,18,18,18,18,144,8,12,16,
48,48,6,15,9,45,135,9,180,36,270,36,9,9,36,36,36,18,18,18,18,36,36,18,18,18,
18,18,18,18,18,36,36,36,36,36,36,36,36,144,144,144,144,12,12,24,12,24,24,16,
18,3,45,9,9,9,9,36,36,36,36,72,6,6,18,18,18,18,18,18,36,36,18,18,36,36,9,1,8,
12,12,12,24,24,1,18,18,18,18,9,9,1,3,3,12,3,1,3,3,1],[1,30,81,16,6,33,45,108,
180,225,414,36,36,16,48,48,9,45,21,45,18,90,114,153,90,270,96,360,144,360,36,
36,36,36,72,72,72,72,144,18,18,18,18,18,18,144,8,12,16,48,48,6,15,9,45,135,9,
180,36,270,36,9,9,36,36,36,18,18,18,18,36,36,18,18,18,18,18,18,18,18,36,36,36,
36,36,36,36,36,144,144,144,144,12,12,24,12,24,24,16,18,3,45,9,9,9,9,36,36,36,
36,72,6,6,18,18,18,18,18,18,36,36,18,18,36,36,9,1,8,12,12,12,24,24,1,18,18,18,
18,9,9,1,3,3,12,3,1,3,3,1],[1,30,81,16,6,45,33,180,108,225,414,36,36,16,48,48,
45,9,45,21,90,18,114,153,270,90,360,96,360,144,36,36,36,36,72,72,72,72,144,18,
18,18,18,18,18,144,8,12,16,48,48,6,15,45,9,9,135,36,180,36,270,9,9,36,36,36,
18,18,18,18,36,36,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,144,144,144,
144,12,12,24,12,24,24,16,18,45,3,9,9,9,9,36,36,36,36,72,6,6,18,18,18,18,18,18,
36,36,18,18,36,36,9,1,8,12,12,12,24,24,1,18,18,18,18,9,9,1,3,3,12,3,1,3,3,1],[
1,18,37,64,16,15,11,60,12,57,84,12,24,64,10,3,9,20,21,12,30,60,20,24,12,24,12,
12,24,12,48,12,24,6,12,6,6,12,24,24,12,64,32,48,1,1,3,15,15,3,6,3,6,3,3,3,6,
12,9,3,12,6,6,6,12,6,3,12,6,6,12,6,6,12,12,12,24,24,12,12,16,32,32,1,3,3,6,3,
4,3,3,6,3,6,6,1,3,3,3,6,2,6,3,6,6,6,9,3,3,6,12,6,6,6,6,6,4,4,12,1,3,3,3,3,3,3,
6,6,4,4,4,8,1,1,1],[1,18,37,64,16,11,15,12,60,57,84,12,24,64,3,10,9,20,21,12,
30,60,24,20,12,12,24,24,12,48,12,12,24,6,6,12,6,12,24,24,12,64,32,48,1,1,3,15,
15,3,6,3,6,3,3,3,6,12,9,3,12,6,6,6,12,6,3,12,6,6,12,6,12,6,12,12,24,24,12,12,
16,32,32,1,3,3,6,3,4,3,3,6,3,6,6,1,3,3,3,6,2,6,3,6,6,6,9,3,3,6,12,6,6,6,6,6,4,
4,12,1,3,3,3,3,3,3,6,6,4,4,4,8,1,1,1],[1,18,37,16,15,11,60,12,57,84,28,72,16,
16,16,10,3,9,20,21,30,60,20,24,12,12,12,24,12,48,24,6,24,12,30,6,48,72,8,12,
16,16,16,1,3,15,15,4,12,3,6,12,6,6,12,9,3,6,6,6,24,6,24,12,24,24,12,6,6,12,6,
6,12,24,24,12,4,8,4,8,8,16,1,3,6,3,3,3,6,3,6,6,3,12,6,12,6,12,12,6,6,1,4,8,4,
4,8,3,4,3,3,6,1,1,1,4,3,1,1,1,1],[1,18,37,16,11,15,12,60,57,84,28,72,16,16,16,
3,10,9,20,21,30,60,24,20,12,12,24,12,48,12,24,24,6,30,12,6,48,72,8,12,16,16,
16,1,3,15,15,4,12,3,12,6,6,6,12,9,3,6,6,6,24,24,6,12,24,24,12,6,6,12,6,12,6,
24,24,12,4,8,4,8,8,16,1,3,6,3,3,3,6,3,6,6,3,12,6,12,6,12,12,6,6,1,4,8,4,4,8,3,
4,3,3,6,1,1,1,4,3,1,1,1,1],[1,22,33,16,2,9,9,12,36,81,90,40,48,12,16,16,16,3,
3,9,7,6,14,21,30,32,24,48,12,24,24,12,12,24,12,24,18,12,6,6,24,108,24,8,12,16,
16,16,1,3,3,3,12,12,6,3,12,10,6,12,12,6,6,9,6,3,18,12,12,6,18,24,24,6,6,6,12,
6,6,6,12,24,24,4,12,8,4,8,8,16,1,3,6,3,3,3,6,3,6,3,3,6,9,6,12,6,24,6,6,1,4,8,
4,4,8,3,1,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,22,33,16,2,9,9,36,12,81,90,40,48,12,
16,16,16,3,3,7,9,6,14,21,30,32,48,24,12,24,12,24,12,12,24,24,12,18,6,6,24,108,
24,8,12,16,16,16,1,3,3,3,12,12,6,3,10,12,6,12,12,6,6,6,9,3,12,18,12,6,18,24,
24,6,6,6,6,12,6,6,12,24,24,4,12,8,4,8,8,16,1,3,6,3,3,3,6,3,6,3,3,9,6,6,12,6,
24,6,6,1,4,8,4,4,8,3,1,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,34,45,16,2,48,15,9,48,
36,75,90,40,24,24,32,32,16,6,3,13,6,6,14,15,36,6,30,24,32,48,24,12,12,24,24,
24,36,36,120,24,6,6,6,12,6,12,60,24,8,12,16,16,16,3,1,3,3,3,12,12,3,10,3,6,12,
6,3,9,18,12,6,18,12,12,12,12,6,6,6,6,6,6,12,6,18,12,12,36,12,36,24,24,8,8,16,
16,4,8,8,16,1,3,3,6,6,6,6,6,6,6,6,6,6,12,3,9,6,6,6,6,12,6,12,6,1,4,4,8,8,4,3,
3,1,3,3,3,3,2,2,1,4,3,1,1,1,1],[1,34,45,16,2,48,9,15,36,48,75,90,40,24,24,32,
32,16,3,6,13,6,6,14,15,36,30,6,32,24,48,24,12,12,24,24,36,24,36,120,24,6,6,12,
6,6,12,60,24,8,12,16,16,16,3,1,3,3,3,12,12,3,10,3,6,12,6,3,9,18,12,6,18,12,12,
12,12,6,6,6,6,6,6,12,6,18,12,12,12,36,36,24,24,8,8,16,16,4,8,8,16,1,3,3,6,6,6,
6,6,6,6,6,6,6,12,3,9,6,6,6,6,12,6,12,6,1,4,4,8,8,4,3,3,1,3,3,3,3,2,2,1,4,3,1,
1,1,1],[1,6,73,16,17,27,48,132,15,84,28,60,64,16,6,28,24,6,20,15,6,30,24,60,
20,12,12,60,36,36,12,72,96,12,12,24,6,6,48,24,8,12,16,16,16,1,3,15,3,15,1,3,
12,6,6,6,6,6,3,9,6,12,6,6,12,6,24,24,18,6,6,6,12,18,18,18,6,36,36,24,24,8,16,
8,16,4,8,8,16,1,3,9,6,6,6,6,6,6,6,6,18,3,3,6,12,6,6,6,6,6,6,12,1,4,4,8,8,4,3,
3,1,3,3,3,3,2,2,1,4,3,1,1,1,1],[1,6,73,16,27,17,132,48,15,84,28,60,64,16,28,6,
24,20,6,15,30,6,60,24,20,12,12,36,60,12,36,72,96,12,12,6,24,6,48,24,8,12,16,
16,16,1,3,3,15,15,1,3,12,6,6,6,6,3,6,9,6,12,6,6,6,12,24,24,18,6,6,6,12,18,18,
6,18,36,36,24,24,8,16,8,16,4,8,8,16,1,3,9,6,6,6,6,6,6,6,6,18,3,3,6,12,6,6,6,6,
6,6,12,1,4,4,8,8,4,3,3,1,3,3,3,3,2,2,1,4,3,1,1,1,1],[1,42,45,16,6,48,15,45,
180,171,270,48,36,32,48,45,51,90,90,135,36,270,360,360,48,36,72,36,144,18,36,
72,8,12,16,16,16,6,3,15,45,135,180,270,9,12,18,18,36,36,72,72,18,18,36,36,72,
72,8,16,12,24,24,16,18,45,9,12,6,18,36,36,72,9,18,36,1,8,12,4,8,4,8,1,3,18,3,
18,2,3,4,8,3,1,1,1,1],[1,42,45,16,6,48,45,15,180,171,270,48,36,32,48,45,51,90,
90,135,36,270,360,360,48,36,36,72,144,18,36,72,8,12,16,16,16,6,3,15,45,135,
180,270,9,12,18,18,36,36,72,72,18,18,36,36,72,72,8,16,12,24,24,16,18,45,9,12,
6,18,36,36,72,9,18,36,1,8,12,4,8,4,8,1,3,18,3,18,2,3,4,8,3,1,1,1,1],[1,18,69,
16,6,57,15,252,135,270,12,72,32,48,63,45,24,90,90,135,270,360,360,12,36,72,72,
144,18,36,72,8,12,16,16,16,6,3,15,45,135,180,270,3,18,18,18,36,36,72,72,18,36,
18,36,72,72,8,16,12,24,24,16,18,45,3,18,18,18,24,36,72,9,18,36,1,8,12,4,8,4,8,
1,9,12,9,12,2,3,4,8,3,1,1,1,1],[1,18,69,16,6,15,57,252,135,270,12,72,32,48,63,
45,24,90,90,135,270,360,360,12,36,72,72,144,18,36,72,8,12,16,16,16,6,3,15,45,
135,180,270,3,18,18,18,36,36,72,72,18,36,18,36,72,72,8,16,12,24,24,16,18,45,3,
18,18,18,24,36,72,9,18,36,1,8,12,4,8,4,8,1,9,12,9,12,2,3,4,8,3,1,1,1,1],[1,18,
69,16,43,15,212,4,57,180,12,72,16,48,48,38,1,3,16,60,45,90,180,60,8,12,12,12,
72,12,96,120,24,6,12,30,6,72,24,8,8,4,16,48,48,3,2,1,45,45,18,3,6,2,9,3,6,6,
12,36,36,30,12,6,6,12,6,6,36,72,72,24,24,24,24,4,8,4,8,8,16,8,4,8,16,16,8,3,3,
18,6,3,3,3,6,3,12,6,36,3,6,18,4,12,6,6,6,12,12,4,8,8,4,8,4,16,8,16,8,8,6,3,1,
3,6,6,6,6,6,1,8,4,3,1,1,1,1],[1,18,69,16,15,43,4,212,57,180,12,72,16,48,48,1,
38,3,16,60,45,90,180,8,60,12,12,72,12,96,12,120,24,6,30,12,6,72,24,8,4,8,16,
48,48,3,2,1,45,45,18,3,6,2,9,3,6,6,12,36,36,30,12,6,6,12,6,36,6,72,72,24,24,
24,24,8,4,8,4,8,16,4,8,8,16,16,8,3,3,18,6,3,3,3,6,3,12,6,36,3,6,18,4,12,6,6,6,
12,12,4,8,4,8,8,4,16,8,16,8,8,6,3,1,3,6,6,6,6,6,1,8,4,3,1,1,1,1],[1,30,57,16,
6,16,25,9,124,4,129,198,24,24,36,16,48,48,13,1,21,3,8,18,42,45,12,90,96,144,8,
24,12,24,12,48,12,24,12,48,48,72,24,12,18,6,12,6,12,24,36,24,8,4,4,4,16,48,48,
1,1,3,9,1,9,36,36,3,3,3,6,6,6,2,6,6,9,3,6,6,12,12,12,6,6,12,12,18,12,6,18,6,6,
12,6,6,12,12,12,12,36,24,24,36,24,24,24,24,4,4,4,12,4,4,8,8,12,4,4,8,8,16,8,3,
3,3,3,6,6,6,3,6,3,3,6,6,3,6,12,6,6,12,3,3,3,6,6,6,4,12,6,6,6,6,6,6,6,4,4,4,12,
4,4,12,4,4,8,8,8,8,8,3,3,3,1,3,3,3,6,6,6,6,1,4,4,4,3,1,1,1,1],[1,30,57,16,6,
16,9,25,4,124,129,198,24,24,36,16,48,48,1,13,3,21,8,18,42,45,12,90,96,8,144,
24,12,24,48,12,24,12,48,12,48,72,24,18,12,12,6,6,12,24,36,24,8,4,4,4,16,48,48,
1,1,3,1,9,9,36,36,3,3,3,6,6,6,2,6,6,9,6,3,6,12,12,12,6,6,12,12,18,12,6,6,18,
12,6,6,12,6,12,12,12,36,24,24,36,24,24,24,24,4,4,4,12,4,4,8,8,12,4,4,8,8,16,8,
3,3,3,3,6,6,6,3,3,6,3,6,6,3,6,12,6,6,12,3,3,3,6,6,6,4,12,6,6,6,6,6,6,6,4,4,4,
12,4,4,12,4,4,8,8,8,8,8,3,3,3,1,3,3,3,6,6,6,6,1,4,4,4,3,1,1,1,1],[1,18,45,16,
2,16,15,9,48,36,51,90,24,48,24,32,48,6,3,9,6,6,14,15,12,6,30,24,32,48,12,12,
24,24,24,36,36,48,24,18,6,6,12,6,36,36,24,8,12,16,16,16,1,1,3,3,3,12,12,9,6,3,
6,12,12,6,3,12,9,6,12,6,6,12,24,12,24,6,6,6,6,6,6,12,6,18,12,12,12,24,24,8,16,
12,8,8,16,1,3,3,6,2,6,6,6,6,6,6,6,6,3,3,6,12,6,6,12,6,6,12,1,4,4,8,4,8,1,3,3,
3,3,3,3,2,1,2,4,3,1,1,1,1],[1,18,45,16,2,16,9,15,36,48,51,90,24,48,24,32,48,3,
6,9,6,6,14,15,12,30,6,32,24,48,12,12,24,24,36,24,36,48,24,6,18,12,6,6,36,36,
24,8,12,16,16,16,1,1,3,3,3,12,12,9,6,3,6,12,12,6,12,3,9,6,12,6,6,12,12,24,24,
6,6,6,6,6,6,12,6,18,12,12,12,24,24,8,16,12,8,8,16,1,3,3,6,2,6,6,6,6,6,6,6,6,3,
3,6,12,6,6,12,6,6,12,1,4,4,8,4,8,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,6,57,16,
17,19,48,84,15,84,36,60,32,48,6,16,8,6,20,15,6,30,24,60,20,12,12,36,36,12,12,
24,96,24,12,24,6,6,48,24,8,12,16,16,16,1,1,15,3,15,3,3,12,6,6,6,6,6,3,9,6,24,
18,6,12,6,24,24,6,6,6,6,12,18,18,6,6,12,12,24,24,8,16,4,8,8,8,16,1,3,3,6,6,6,
6,2,6,6,6,6,3,9,6,12,6,6,6,6,6,6,12,1,4,4,8,4,8,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,
1],[1,6,57,16,19,17,84,48,15,84,36,60,32,48,16,6,8,20,6,15,30,6,60,24,20,12,
12,36,36,12,12,24,96,12,24,6,24,6,48,24,8,12,16,16,16,1,1,3,15,15,3,3,12,6,6,
6,6,3,6,9,6,24,6,18,6,12,24,24,6,6,6,6,12,18,18,6,6,12,12,24,24,8,16,4,8,8,8,
16,1,3,3,6,6,6,6,2,6,6,6,6,3,9,6,12,6,6,6,6,6,6,12,1,4,4,8,4,8,1,3,3,3,3,3,3,
2,1,2,4,3,1,1,1,1],[1,26,45,16,6,16,45,15,180,147,270,16,12,80,45,47,90,90,
135,12,270,360,360,16,12,12,24,48,6,12,24,8,12,16,16,16,6,1,15,45,135,180,270,
3,4,6,6,12,12,24,24,6,6,12,12,24,24,20,24,24,16,18,45,3,4,2,6,12,12,24,3,6,12,
1,4,8,12,4,1,1,6,1,6,3,2,4,1,1,1,1,1],[1,26,45,16,6,16,15,45,180,147,270,16,
12,80,45,47,90,90,135,12,270,360,360,16,12,24,12,48,6,12,24,8,12,16,16,16,6,1,
15,45,135,180,270,3,4,6,6,12,12,24,24,6,6,12,12,24,24,20,24,24,16,18,45,3,4,2,
6,12,12,24,3,6,12,1,4,8,12,4,1,1,6,1,6,3,2,4,1,1,1,1,1],[1,18,53,16,6,49,15,
204,135,270,4,24,80,51,45,8,90,90,135,270,360,360,4,12,24,24,48,6,12,24,8,12,
16,16,16,6,1,15,45,135,180,270,1,6,6,6,12,12,24,24,6,12,6,12,24,24,12,24,8,24,
16,18,45,1,6,6,6,8,12,24,3,6,12,1,8,12,4,4,1,3,4,3,4,3,2,4,1,1,1,1,1],[1,18,
53,16,6,15,49,204,135,270,4,24,80,51,45,8,90,90,135,270,360,360,4,12,24,24,48,
6,12,24,8,12,16,16,16,6,1,15,45,135,180,270,1,6,6,6,12,12,24,24,6,12,6,12,24,
24,12,24,8,24,16,18,45,1,6,6,6,8,12,24,3,6,12,1,8,12,4,4,1,3,4,3,4,3,2,4,1,1,
1,1,1],[1,54,33,16,2,112,9,9,36,12,177,90,24,48,12,48,16,48,3,3,15,21,6,14,21,
108,30,32,48,24,24,12,96,60,72,12,12,24,72,24,24,18,6,30,60,36,24,24,8,12,16,
48,48,6,4,1,3,3,3,12,12,6,6,3,6,12,6,6,6,6,6,9,3,6,12,6,6,12,12,12,12,6,6,6,
18,24,30,6,6,48,48,36,36,36,36,24,24,24,48,48,24,4,20,16,8,12,8,8,16,1,3,6,6,
6,12,6,2,3,3,3,6,3,6,6,6,6,12,3,3,3,6,6,24,12,12,6,12,6,6,6,6,6,6,1,4,12,12,8,
8,1,3,3,3,3,3,3,6,6,6,6,1,1,2,1,4,2,3,1,1,1,2,2,1],[1,54,33,16,2,112,9,9,12,
36,177,90,24,48,12,48,16,48,3,3,21,15,6,14,21,108,30,32,24,48,24,12,96,72,60,
12,24,12,72,24,18,24,6,30,60,36,24,24,8,12,16,48,48,4,6,1,3,3,3,12,12,6,6,3,6,
12,6,6,6,6,9,6,3,6,12,6,6,12,12,12,12,6,6,6,24,18,30,6,6,48,48,36,36,36,36,24,
24,24,48,48,24,4,20,16,8,12,8,8,16,1,3,6,6,6,12,6,3,2,3,3,6,3,6,6,6,6,12,3,3,
3,6,6,24,12,12,6,12,6,6,6,6,6,6,1,4,12,12,8,8,1,3,3,3,3,3,3,6,6,6,6,1,1,2,1,4,
2,3,1,1,1,2,2,1],[1,18,69,16,31,11,204,12,57,132,12,72,16,48,48,34,3,9,32,32,
21,42,108,20,24,12,12,12,96,12,120,120,24,6,24,30,18,96,24,24,8,12,16,48,48,1,
4,3,21,15,24,9,6,6,9,3,6,6,12,24,24,30,24,6,18,36,6,6,48,96,96,24,24,72,72,12,
4,8,8,16,4,8,8,8,16,1,9,24,6,3,3,3,6,3,8,6,24,3,6,12,12,36,18,6,6,12,12,1,4,4,
4,8,8,8,8,4,3,3,3,6,6,6,6,6,1,1,2,1,4,2,3,1,1,1,2,2,1],[1,18,69,16,11,31,12,
204,57,132,12,72,16,48,48,3,34,9,32,32,21,42,108,24,20,12,12,96,12,120,12,120,
24,6,30,24,18,96,24,24,8,12,16,48,48,1,4,3,21,15,24,9,6,6,9,3,6,6,12,24,24,30,
24,6,18,36,6,48,6,96,96,24,24,72,72,12,4,8,8,16,4,8,8,8,16,1,9,24,6,3,3,3,6,3,
8,6,24,3,6,12,12,36,18,6,6,12,12,1,4,4,4,8,8,8,8,4,3,3,3,6,6,6,6,6,1,1,2,1,4,
2,3,1,1,1,2,2,1],[1,12,39,64,16,5,66,18,24,24,54,64,3,6,15,12,6,36,48,42,48,9,
6,30,12,12,6,12,64,32,48,1,1,3,3,9,9,6,18,12,9,6,12,18,12,6,12,6,12,12,32,16,
32,3,3,6,6,3,9,3,3,6,6,3,6,6,4,4,12,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,12,39,64,16,
5,66,18,24,24,54,64,3,6,15,12,6,36,48,42,48,9,6,30,12,6,12,12,64,32,48,1,1,3,
3,9,9,6,18,12,9,6,12,18,12,6,12,6,12,12,32,16,32,3,3,6,6,3,9,3,3,6,6,3,6,6,4,
4,12,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,12,31,16,6,3,38,4,18,48,28,54,16,16,16,1,2,
3,6,12,12,12,12,12,12,24,30,18,12,15,12,18,24,12,2,12,8,4,16,16,16,3,1,6,6,3,
9,12,12,3,3,6,6,6,6,6,6,12,6,3,6,6,12,6,6,12,12,4,8,4,8,4,8,8,16,3,6,6,1,6,6,
3,6,3,6,3,3,6,6,3,6,6,4,8,4,4,8,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,12,31,16,3,6,
4,38,18,48,28,54,16,16,16,1,2,3,6,12,12,12,12,12,24,12,30,12,18,15,12,18,24,2,
12,12,4,8,16,16,16,3,1,6,6,3,9,12,12,3,3,6,6,6,6,6,6,12,6,3,6,6,12,6,6,12,12,
8,4,4,8,4,8,8,16,3,6,6,1,6,6,3,6,3,6,3,3,6,6,3,6,6,4,8,4,4,8,3,1,3,3,3,3,3,1,
4,3,1,1,1,1],[1,67,16,27,28,98,28,42,64,16,7,2,45,60,30,36,72,42,9,18,2,12,4,
8,16,16,16,3,7,3,18,9,9,18,18,9,9,18,18,6,6,12,12,8,8,8,8,4,8,8,16,9,6,3,1,6,
9,18,3,3,6,3,6,6,4,4,8,4,8,3,3,1,3,3,3,3,1,4,3,1,1,1,1],[1,67,16,27,98,28,28,
42,64,16,7,2,45,60,36,30,72,42,9,18,2,12,8,4,16,16,16,3,7,3,18,9,9,18,18,9,9,
18,18,6,6,12,12,8,8,8,8,4,8,8,16,9,6,3,1,6,9,18,3,3,6,3,6,6,4,4,8,4,8,3,3,1,3,
3,3,3,1,4,3,1,1,1,1],[1,18,45,16,16,15,7,52,28,57,60,24,48,24,32,48,7,7,3,9,8,
6,9,12,6,24,8,24,12,12,36,36,24,24,24,48,48,30,12,6,12,6,6,36,36,24,8,4,4,4,
16,16,16,1,1,1,3,3,3,9,3,6,3,6,2,12,6,6,12,6,6,12,6,3,6,3,6,12,12,6,6,12,12,
18,6,6,6,6,18,6,6,6,12,12,12,12,12,12,12,24,24,8,8,8,12,4,4,8,8,16,8,3,3,3,3,
6,6,3,3,6,6,6,3,3,3,4,12,6,3,6,6,3,6,6,6,6,12,6,12,6,6,6,6,6,6,4,4,4,4,4,4,4,
4,4,8,1,3,3,3,3,3,3,6,6,6,6,1,4,4,4,3,1,1,1,1],[1,18,45,16,16,7,15,28,52,57,
60,24,48,24,32,48,7,7,9,3,8,6,9,12,6,24,24,8,12,12,36,36,24,24,24,48,48,12,30,
12,6,6,6,36,36,24,8,4,4,4,16,16,16,1,1,3,1,3,3,9,3,6,3,6,2,6,12,6,12,6,6,12,6,
6,3,3,6,12,12,6,6,12,12,6,18,6,6,18,6,6,6,6,12,12,12,12,12,12,12,24,24,8,8,8,
12,4,4,8,8,16,8,3,3,3,3,6,6,3,3,6,6,6,3,3,3,4,12,6,6,3,6,3,6,6,6,6,12,6,12,6,
6,6,6,6,6,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,6,6,6,6,1,4,4,4,3,1,1,1,1],[1,18,
61,16,16,15,15,52,52,33,60,24,40,24,64,16,7,7,3,3,6,6,3,4,6,6,24,24,6,18,42,
42,24,24,24,24,96,96,18,18,6,6,12,24,12,20,4,4,4,16,16,16,3,3,1,1,3,3,3,4,3,3,
9,6,6,6,6,6,6,6,6,6,6,3,3,3,3,6,6,6,6,6,12,12,9,9,6,6,6,6,3,3,3,3,3,12,18,18,
6,6,6,6,12,12,8,24,24,24,16,8,8,8,8,4,4,4,8,16,3,3,3,3,3,3,3,3,3,6,6,6,6,6,1,
3,3,3,3,3,3,6,6,6,3,3,3,6,6,6,6,6,6,12,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,
4,4,8,3,3,3,3,3,3,3,3,1,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,6,41,16,7,13,28,80,
15,36,28,12,80,7,14,3,16,8,6,3,6,24,8,4,12,24,24,24,48,18,6,6,6,24,24,8,4,8,
16,16,16,1,2,1,3,1,6,6,3,2,12,6,12,6,12,6,6,6,6,6,12,12,12,24,24,24,24,4,8,8,
16,8,8,16,1,3,6,6,6,3,4,12,6,6,6,12,12,4,4,8,4,8,1,3,3,4,4,1,4,1,1,1,1,1],[1,
6,41,16,13,7,80,28,15,36,28,12,80,14,7,3,8,16,6,3,6,24,8,4,12,24,24,24,48,18,
6,6,6,24,24,8,8,4,16,16,16,2,1,1,3,1,6,6,3,2,12,6,12,6,12,6,6,6,6,6,12,12,12,
24,24,24,24,8,4,8,8,16,8,16,1,3,6,6,6,3,4,12,6,6,6,12,12,4,8,4,4,8,1,3,3,4,4,
1,4,1,1,1,1,1],[1,12,63,16,6,19,38,100,18,96,12,54,16,48,48,13,8,2,3,12,6,12,
12,12,48,12,12,12,24,36,24,24,60,30,24,6,15,18,24,24,2,12,8,4,16,48,48,1,6,3,
6,6,3,6,3,3,6,12,12,6,15,6,9,6,12,24,6,24,12,24,24,6,6,12,12,4,8,4,8,8,4,8,8,
16,8,6,6,3,3,6,6,3,1,6,6,6,3,3,6,3,6,6,4,4,4,8,8,8,8,1,3,3,3,3,3,3,1,4,3,1,1,
1,1],[1,12,63,16,19,6,100,38,18,96,12,54,16,48,48,13,2,8,12,3,6,12,12,48,12,
12,12,12,36,24,24,24,30,60,24,6,15,24,18,24,2,12,4,8,16,48,48,1,6,3,6,6,3,6,3,
3,6,12,12,6,15,6,9,6,12,6,24,12,24,24,24,6,6,12,12,8,4,4,8,8,4,8,8,16,8,6,6,3,
3,6,6,3,1,6,6,6,3,3,6,3,6,6,4,4,4,8,8,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,51,
16,19,28,98,36,42,32,48,7,2,8,45,60,30,72,18,9,18,2,12,24,12,4,8,16,16,16,3,1,
3,6,9,9,9,18,18,18,9,18,18,6,6,12,12,8,8,8,4,8,8,16,8,9,9,6,1,9,18,3,3,6,3,6,
6,4,4,8,4,8,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,51,16,19,98,28,36,42,32,48,7,8,2,
45,60,30,72,18,9,18,12,2,24,12,8,4,16,16,16,3,1,3,6,9,9,9,18,18,18,9,18,18,6,
6,12,12,8,8,8,4,8,8,16,8,9,9,6,1,9,18,3,3,6,3,6,6,4,4,8,4,8,3,1,3,3,3,3,3,1,4,
3,1,1,1,1],[1,6,57,16,15,13,28,80,15,36,12,36,32,48,7,14,3,16,6,3,6,24,8,24,
48,12,24,12,24,36,24,6,6,18,6,24,24,8,12,24,4,8,16,16,16,2,1,3,6,6,3,3,2,3,3,
6,6,6,6,6,6,6,6,9,6,12,12,6,12,6,24,24,12,24,12,24,12,12,12,24,24,24,24,8,4,8,
8,16,16,8,3,6,6,6,3,3,4,12,3,3,3,6,3,6,6,6,6,6,12,12,12,12,12,12,24,4,8,4,4,8,
8,8,1,3,3,6,6,6,6,6,6,1,4,8,3,1,1,1,1],[1,6,57,16,13,15,80,28,15,36,12,36,32,
48,14,7,3,16,6,3,6,24,8,24,12,48,12,24,36,24,24,6,18,6,6,24,24,12,8,24,8,4,16,
16,16,2,1,3,6,6,3,2,3,3,3,6,6,6,6,6,6,6,9,6,6,12,12,6,6,12,24,24,24,12,24,12,
12,12,12,24,24,24,24,8,8,4,8,16,16,8,3,6,6,6,3,3,4,12,3,3,3,3,6,6,6,6,6,6,12,
12,12,12,12,12,24,4,8,4,4,8,8,8,1,3,3,6,6,6,6,6,6,1,4,8,3,1,1,1,1],[1,42,29,
16,112,7,7,28,28,189,84,28,80,7,7,21,21,8,8,21,140,56,56,28,84,84,84,42,42,42,
84,56,4,4,4,16,16,16,1,1,7,7,7,7,7,7,21,21,21,28,14,14,42,42,42,42,42,42,42,
42,84,84,84,84,56,168,168,168,20,4,4,8,8,8,8,8,16,7,7,21,21,21,28,28,84,84,84,
42,42,42,84,56,4,4,4,4,4,4,4,4,4,8,8,8,7,7,21,28,1,4,4,4,8,1,1,1,1,1],[1,30,
25,16,6,16,9,9,4,4,57,54,24,40,36,16,16,16,1,1,3,3,18,27,4,24,6,42,30,30,12,
12,12,12,24,18,18,12,12,6,12,24,12,48,20,4,4,4,16,16,16,3,1,1,3,3,3,4,3,12,12,
12,3,3,9,6,6,12,12,6,6,6,6,12,6,6,9,9,3,3,6,6,6,6,6,12,12,3,3,3,3,9,9,3,6,6,6,
6,6,6,12,8,24,24,24,4,4,4,4,4,4,4,4,4,8,16,3,3,3,3,6,3,1,3,3,3,3,3,3,3,3,3,3,
6,3,3,3,6,6,6,6,6,6,6,6,6,12,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,4,4,4,4,4,4,4,4,4,
8,3,3,3,3,1,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,12,39,16,16,5,66,18,24,
24,54,32,48,3,6,15,12,6,36,48,42,48,9,6,30,12,6,12,12,4,4,16,16,16,1,1,3,3,9,
9,6,18,12,9,6,12,18,12,6,12,6,12,12,8,8,12,12,16,12,3,3,6,6,3,9,3,3,6,6,3,6,6,
4,4,4,4,4,4,4,12,4,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,12,39,16,16,5,66,18,24,24,54,
32,48,3,6,15,12,6,36,48,42,48,9,6,30,12,12,6,12,4,4,16,16,16,1,1,3,3,9,9,6,18,
12,9,6,12,18,12,6,12,6,12,12,8,8,12,12,16,12,3,3,6,6,3,9,3,3,6,6,3,6,6,4,4,4,
4,4,4,4,12,4,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,51,16,11,28,90,36,42,32,48,7,6,8,
21,60,42,72,18,9,30,6,4,8,12,4,4,16,16,16,1,1,1,2,3,9,3,18,6,18,9,18,30,18,6,
12,12,8,8,4,8,12,16,8,4,9,3,6,3,3,6,9,3,6,3,6,6,4,4,4,4,4,4,4,8,4,4,1,3,3,3,3,
3,3,4,4,4,3,1,1],[1,51,16,11,90,28,36,42,32,48,7,8,6,21,60,42,72,18,9,30,4,6,
8,12,4,4,16,16,16,1,1,1,2,3,9,3,18,6,18,9,18,30,18,6,12,12,8,8,4,8,12,16,8,4,
9,3,6,3,3,6,9,3,6,3,6,6,4,4,4,4,4,4,4,8,4,4,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,12,
39,16,16,5,66,18,24,24,54,32,48,3,6,15,12,6,36,48,42,48,9,6,30,12,6,12,12,20,
16,16,16,1,1,3,3,9,9,6,18,12,9,6,12,18,12,6,12,6,12,12,24,12,16,3,3,6,6,3,9,3,
3,6,6,3,6,6,1,4,4,4,1,3,3,3,3,3,3,2,3,4,3,1,1,1,1],[1,12,39,16,16,5,66,18,24,
24,54,32,48,3,6,15,12,6,36,48,42,48,9,6,30,12,12,6,12,20,16,16,16,1,1,3,3,9,9,
6,18,12,9,6,12,18,12,6,12,6,12,12,24,12,16,3,3,6,6,3,9,3,3,6,6,3,6,6,1,4,4,4,
1,3,3,3,3,3,3,2,3,4,3,1,1,1,1],[1,12,39,16,16,5,66,18,24,24,54,32,48,3,6,15,
12,6,36,48,42,48,9,6,30,12,6,12,12,16,4,16,16,16,1,1,3,3,9,9,6,18,12,9,6,12,
18,12,6,12,6,12,12,16,8,12,16,3,3,6,6,3,9,3,3,6,6,3,6,6,1,4,4,4,1,3,3,3,3,3,3,
2,3,4,3,1,1,1,1],[1,12,39,16,16,5,66,18,24,24,54,32,48,3,6,15,12,6,36,48,42,
48,9,6,30,12,12,6,12,16,4,16,16,16,1,1,3,3,9,9,6,18,12,9,6,12,18,12,6,12,6,12,
12,16,8,12,16,3,3,6,6,3,9,3,3,6,6,3,6,6,1,4,4,4,1,3,3,3,3,3,3,2,3,4,3,1,1,1,
1],[1,6,17,16,1,7,28,15,12,24,16,12,80,7,3,8,3,8,4,12,6,6,6,36,24,8,8,4,16,16,
16,1,1,1,6,6,2,2,6,6,3,3,6,6,6,6,6,4,8,8,8,8,16,1,3,3,6,6,6,6,4,4,4,8,8,1,3,3,
4,1,1,1],[1,6,17,16,7,1,28,15,12,24,16,12,80,7,3,8,3,8,4,12,6,6,6,36,24,8,8,4,
16,16,16,1,1,1,6,6,2,2,6,6,3,3,6,6,6,6,6,4,8,8,8,8,16,1,3,3,6,6,6,6,4,4,4,8,8,
1,3,3,4,1,1,1],[1,30,9,16,2,24,3,3,21,18,24,24,12,32,48,6,9,6,24,12,12,12,24,
6,6,6,6,6,18,18,12,48,12,24,4,16,16,16,1,3,6,3,12,12,12,3,6,6,12,6,12,12,3,6,
12,12,12,12,12,12,8,12,16,6,3,3,6,3,4,6,12,6,6,12,4,4,4,1,3,3,6,6,1,4,3,1,1,1,
1],[1,51,16,11,90,12,36,42,32,48,3,6,21,60,12,42,24,30,9,30,6,12,4,16,16,16,1,
3,1,18,9,15,6,18,3,9,6,30,18,6,12,12,8,12,16,3,6,1,3,2,9,6,9,3,6,3,6,6,4,1,4,
4,1,3,3,3,3,3,3,1,4,2,2,3,1,1,1,1],[1,51,16,11,12,90,36,42,32,48,3,6,21,60,42,
12,24,30,9,30,6,12,4,16,16,16,1,3,1,18,9,15,6,18,3,9,6,30,18,6,12,12,8,12,16,
3,6,1,3,2,9,6,9,3,6,3,6,6,4,1,4,4,1,3,3,3,3,3,3,1,4,2,2,3,1,1,1,1],[1,49,147,
8,49,56,1,1,3,1],[1,49,147,8,49,56,1,1,3,1],[1,49,49,8,49,56,1,1,1,1],[1,30,
25,75,100,6,75,75,25,6,30,30,25,60,30,1,30,1,6,1,3,3,1,3,3,1],[1,48,27,16,24,
1,72,81,27,18,24,72,36,84,9,27,18,54,27,5,8,6,3,4,18,78,72,36,6,18,27,5,3,3,
36,24,6,12,9,12,18,6,18,18,18,18,4,1,3,3,1,2,18,6,6,6,9,18,4,8,1,1,3,3,3,6,6,
3,6,1,4,3,3,1,1,1,1],[1,7,105,1,7,49,1,8,7,56,7,7,1,7,7,1,1,1,1,1],[1,20,15,
16,5,30,30,30,16,80,5,15,60,15,16,20,16,1,15,15,20,16,5,1,1,5,1,1,1],[1,20,15,
16,5,30,30,30,16,80,5,15,60,15,16,20,16,1,15,15,20,16,5,1,1,5,1,1,1],[1,38,45,
10,1,40,5,30,90,75,40,30,6,30,30,50,5,15,15,15,10,30,10,30,30,90,15,30,6,18,
18,5,10,10,30,50,30,10,10,5,15,15,15,15,15,15,6,12,12,18,18,10,5,10,10,10,10,
10,10,10,10,15,6,6,6,5,5,5,10,1,6,5,2,1,2,1,1,1,1],[1,38,45,10,1,40,5,30,90,
75,40,30,6,30,30,50,5,15,15,15,10,30,10,30,30,90,15,30,6,18,18,5,10,10,30,50,
30,10,10,5,15,15,15,15,15,15,6,12,12,18,18,10,5,10,10,10,10,10,10,10,10,15,6,
6,6,5,5,5,10,1,6,5,2,1,2,1,1,1,1],[1,38,45,10,6,40,15,15,75,90,40,30,6,30,30,
50,30,45,15,40,30,30,60,15,30,6,18,18,5,10,10,30,50,30,10,10,5,15,30,15,30,6,
12,12,18,18,10,15,10,10,10,10,10,10,10,15,6,6,6,5,5,5,10,1,6,5,2,3,1,1,1,1],[
1,21,28,57,7,7,21,28,21,8,21,28,7,7,14,14,7,7,21,28,8,16,8,7,7,21,7,7,8,7,7,1,
1],[1,21,1,84,7,7,21,28,21,8,21,28,7,21,14,7,7,21,28,16,8,8,7,7,21,7,7,8,7,7,
1,1],[1,9,7,60,3,1,3,4,63,1,3,28,1,14,21,7,21,9,28,1,8,4,1,21,3,1,3,7,9,4,3,4,
7,3,1,1,2,3,4,1,3,1,1],[1,9,7,60,1,3,3,4,63,1,3,28,15,7,21,21,9,28,1,8,4,1,21,
1,3,3,7,9,4,3,4,7,1,3,1,2,3,4,1,3,1,1],[1,54,89,6,112,49,33,204,156,357,462,
48,76,60,51,21,63,33,24,8,90,18,114,165,140,270,90,360,96,408,176,48,52,132,
180,156,72,96,120,96,72,48,240,192,78,66,18,30,18,54,132,24,72,120,192,24,72,
6,1,3,7,7,15,51,13,9,135,36,180,36,270,13,7,27,27,27,12,12,28,6,18,9,36,48,36,
6,14,18,42,6,12,18,36,24,12,12,36,12,24,18,18,18,18,12,18,18,18,18,18,6,12,36,
24,36,36,24,12,36,36,24,24,24,24,72,72,78,54,18,12,30,18,54,78,66,54,42,18,18,
36,36,36,36,48,36,48,108,108,108,132,72,72,72,24,72,24,120,144,192,144,192,56,
216,168,72,216,72,18,45,3,13,7,27,27,27,9,9,9,12,12,28,6,18,36,36,36,48,72,6,
6,6,6,6,6,18,18,18,6,6,18,18,6,12,18,6,18,18,18,18,8,12,36,12,12,36,24,36,36,
36,12,24,72,24,6,12,18,12,9,9,9,3,6,18,18,6,18,6,18,36,12,36,36,12,12,9,36,12,
84,36,84,108,12,36,18,6,18,6,18,6,6,18,12,36,18,6,6,18,36,12,12,12,18,18,12,
36,12,54,42,18,42,84,56,12,36,12,36,24,36,12,12,36,36,36,24,24,24,24,36,24,36,
12,36,12,36,24,24,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,12,36,36,12,1,
2,6,3,3,9,3,4,6,18,18,6,18,18,18,7,9,3,21,3,3,4,18,6,18,6,9,3,9,3,18,6,6,6,18,
3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,9,3,9,3,9,9,4,12,12,12,12,12,12,12,12,12,12,12,
12,12,28,4,12,12,12,12,12,18,36,18,6,6,6,6,18,18,6,6,18,18,12,36,12,24,6,18,
18,6,36,36,12,36,36,12,24,12,12,12,36,36,1,3,1,3,1,3,6,6,6,6,2,6,6,18,3,3,3,3,
3,6,3,3,9,3,3,9,3,3,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,12,12,1,3,3,3,3,3,3,6,6,
1],[1,54,89,6,112,33,49,156,204,357,462,48,76,60,21,51,33,63,8,24,18,90,114,
165,140,90,270,96,360,176,408,48,52,132,156,180,96,72,96,120,48,72,240,192,66,
78,30,18,18,54,132,72,24,120,192,24,72,6,3,1,7,7,15,13,51,135,9,180,36,270,36,
7,13,27,27,27,12,12,28,18,6,9,48,36,36,6,18,14,42,6,18,12,24,36,12,12,12,36,
24,18,18,18,12,18,18,18,18,18,6,18,36,12,36,24,24,36,36,12,36,24,24,24,72,24,
72,54,78,12,18,18,30,78,54,54,66,42,18,18,36,36,36,48,36,48,36,108,108,108,
132,72,72,24,72,24,72,120,192,144,144,192,56,168,216,72,216,72,18,3,45,7,13,
27,27,27,9,9,9,12,12,28,18,6,36,36,48,36,72,6,6,6,6,6,18,6,18,6,18,18,6,6,18,
18,12,18,6,18,18,18,8,36,12,12,12,24,36,36,36,12,36,72,24,24,6,18,12,12,9,9,3,
9,18,6,6,18,18,18,6,12,36,36,12,36,12,9,36,12,84,36,108,84,12,36,6,18,18,6,6,
18,18,6,36,12,6,18,18,6,36,12,12,12,18,18,36,12,12,42,54,18,42,84,56,12,12,36,
24,36,12,36,36,12,36,24,36,24,24,24,24,36,12,36,12,36,36,24,24,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,24,36,12,36,12,1,2,6,3,3,3,9,4,18,6,6,18,18,18,18,
9,7,3,21,3,3,4,18,6,18,6,3,9,3,9,18,6,6,18,6,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,9,
9,3,3,9,9,4,12,12,12,12,12,12,12,12,12,12,12,12,12,28,4,12,12,12,12,12,18,36,
18,6,6,6,6,18,6,18,6,18,12,18,12,36,24,18,6,18,6,36,12,36,36,12,36,24,12,12,
12,36,36,1,3,1,3,1,3,6,6,6,6,2,6,6,18,3,3,3,3,3,6,3,3,9,3,9,3,3,3,6,6,6,6,6,6,
6,18,6,6,6,6,6,6,6,12,12,1,3,3,3,3,3,3,6,6,1],[1,38,105,10,16,57,69,180,300,
321,618,16,60,108,45,63,45,59,24,90,102,190,273,12,270,330,360,424,360,456,16,
60,60,132,60,168,120,168,120,168,48,240,66,30,54,30,30,30,36,120,24,240,24,24,
6,6,3,1,29,45,51,141,135,204,180,294,270,9,9,15,4,30,15,60,60,60,6,6,6,18,36,
36,18,30,18,30,18,30,18,30,42,18,12,60,84,36,36,60,12,72,72,24,24,54,42,30,30,
30,66,30,30,30,30,60,60,60,60,60,84,60,36,60,36,24,120,120,24,240,240,240,240,
72,72,72,72,18,18,45,47,9,15,9,15,15,15,4,30,60,60,60,60,120,6,10,10,6,6,18,
42,30,18,18,18,30,30,18,30,18,30,18,18,30,24,12,60,60,36,12,60,36,24,72,6,18,
9,15,18,30,6,30,18,30,60,36,36,60,12,36,15,12,12,36,36,12,36,18,18,18,18,36,
18,18,36,18,18,36,18,18,24,36,36,36,36,36,36,36,36,36,36,12,12,12,12,12,12,12,
24,12,24,24,24,36,36,1,1,2,6,3,15,12,6,30,18,30,18,18,30,18,30,3,3,1,9,12,6,6,
18,6,6,9,9,18,18,6,6,6,6,6,6,12,15,9,9,9,15,12,12,12,12,12,12,12,12,18,36,18,
6,6,12,18,18,18,18,36,18,18,36,36,36,36,36,36,5,3,3,1,6,18,9,3,3,6,3,3,9,9,6,
6,12,18,6,6,6,6,1,1,1,3,3,3,3,1],[1,38,105,10,16,69,57,300,180,321,618,16,60,
108,63,45,59,45,24,102,90,190,273,12,330,270,424,360,456,360,16,60,60,60,132,
120,168,120,168,168,48,240,30,66,30,54,30,30,36,120,24,240,24,24,6,6,3,1,29,
51,45,135,141,180,204,270,294,9,9,15,4,30,15,60,60,60,6,6,6,18,36,36,18,18,30,
18,30,30,30,18,18,42,12,60,36,84,60,36,12,72,72,24,24,54,42,30,30,66,30,30,30,
30,30,60,60,60,60,60,60,84,36,60,36,24,120,120,24,240,240,240,240,72,72,72,72,
18,18,47,45,9,15,9,15,15,15,4,30,60,60,60,60,120,10,6,6,10,6,42,18,18,30,18,
30,18,30,30,18,30,18,18,30,18,24,12,60,36,60,12,36,60,24,72,6,18,9,15,30,18,6,
18,30,30,36,60,60,36,12,36,15,12,12,36,36,12,36,18,18,18,18,36,18,18,36,18,18,
36,18,18,24,36,36,36,36,36,36,36,36,36,36,12,12,12,12,12,12,12,24,12,24,24,24,
36,36,1,1,2,6,3,15,12,6,18,30,18,30,30,18,30,18,3,3,1,9,12,6,6,18,6,6,9,9,18,
18,6,6,6,6,6,6,12,9,15,9,9,15,12,12,12,12,12,12,12,12,18,36,18,6,6,12,18,18,
18,18,36,18,18,36,36,36,36,36,36,3,5,3,1,6,18,9,3,3,6,3,3,9,9,6,6,12,18,6,6,6,
6,1,1,1,3,3,3,3,1],[1,30,65,2,48,17,17,100,100,109,146,48,44,84,15,15,11,11,
16,16,10,10,22,21,44,34,34,48,48,48,48,16,20,28,44,44,48,48,64,64,40,40,144,
48,26,26,30,30,18,18,20,48,48,88,112,8,8,8,16,2,2,2,2,1,3,3,5,5,12,12,12,12,2,
2,2,2,5,8,8,4,12,12,9,24,24,20,2,2,2,2,2,2,2,4,4,4,4,16,16,24,4,4,8,8,4,4,16,
16,6,6,14,14,16,16,12,12,16,16,20,20,28,8,8,8,8,24,16,16,8,16,16,10,10,14,14,
14,14,6,6,10,10,10,4,12,12,8,8,16,16,16,16,12,12,32,32,32,32,32,32,40,32,32,
48,16,8,16,16,24,24,8,24,24,8,8,8,16,16,16,16,1,1,2,2,1,2,2,3,3,1,4,4,4,8,8,8,
8,4,4,8,4,4,4,4,4,4,4,4,6,6,4,4,2,2,8,8,8,8,8,8,4,4,4,4,4,8,8,2,2,2,2,4,4,4,6,
6,8,8,4,4,4,4,8,8,12,12,4,4,4,4,5,4,4,8,12,12,4,4,2,2,2,2,2,4,4,4,4,6,6,4,4,
12,8,8,2,2,2,2,4,6,6,2,4,8,4,8,8,4,4,12,12,8,8,4,4,16,16,8,4,4,4,4,8,8,8,8,12,
12,4,4,8,8,8,8,4,4,8,8,8,8,8,16,16,8,8,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,16,2,
2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,2,4,4,2,2,2,2,2,2,4,4,2,2,4,4,2,2,4,4,2,2,1,1,
1,1,4,4,4,4,8,8,4,4,8,8,8,6,6,2,2,4,4,2,2,2,2,2,4,4,4,4,8,2,2,2,2,4,4,4,4,8,4,
4,4,4,4,4,4,4,4,4,4,4,8,8,2,2,2,2,1,2,2,2,2,1,1,1,1,1,2,2,2,2,1,2,2,2,2,2,2,2,
2,4,4,1,1,1,1,1,1,1,1],[1,30,65,6,16,49,21,204,36,193,334,48,44,84,51,3,51,7,
8,90,6,98,145,12,270,30,360,32,376,48,16,20,28,28,60,24,48,40,48,48,48,64,18,
26,30,18,6,10,36,24,48,104,96,8,16,6,1,1,15,47,3,3,135,12,180,12,270,3,5,4,5,
12,8,6,12,3,20,16,12,2,4,8,8,8,8,8,4,4,6,6,6,4,10,12,6,10,18,6,16,20,16,20,16,
4,12,28,24,24,24,24,16,24,40,22,12,10,6,22,10,14,10,6,6,12,12,12,12,16,12,24,
20,20,20,24,24,24,24,48,64,48,64,24,24,8,8,8,18,45,1,3,5,5,3,3,3,4,6,12,12,12,
16,24,2,2,2,2,6,6,6,2,2,6,6,4,6,2,6,6,6,8,12,16,12,12,12,4,24,24,4,2,3,6,3,2,
10,10,8,6,6,12,4,12,12,8,12,12,3,4,12,4,2,4,2,2,4,2,2,4,6,4,8,4,4,8,8,8,4,8,4,
16,4,20,4,4,16,4,12,8,4,4,12,12,8,24,24,4,4,4,4,4,4,8,1,1,3,4,6,6,2,6,6,6,1,1,
1,3,3,4,6,2,1,1,2,1,1,4,6,2,6,2,6,6,8,2,4,3,1,2,2,3,4,4,4,4,2,2,2,2,2,2,2,2,2,
4,4,2,2,4,4,8,4,4,4,4,4,4,4,4,1,1,1,2,1,1,3,1,1,3,1,2,2,1,2,2,2,2,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,30,65,6,16,21,49,36,204,193,334,48,44,84,3,51,7,51,8,6,
90,98,145,12,30,270,32,360,48,376,16,20,28,60,28,48,24,48,40,48,48,64,26,18,
18,30,6,10,36,48,24,104,96,8,16,6,1,1,15,3,47,135,3,180,12,270,12,3,4,5,5,8,
12,12,6,3,16,20,12,2,8,4,8,8,8,8,4,6,4,6,4,6,12,10,10,6,6,18,20,16,16,16,20,
12,4,28,24,24,24,24,24,16,40,22,12,6,10,10,22,10,14,6,6,12,12,12,16,12,24,12,
20,20,20,24,24,24,24,64,48,48,64,24,24,8,8,8,18,1,45,3,5,5,3,3,3,4,6,12,12,16,
12,24,2,2,2,2,6,6,6,2,6,2,6,6,4,6,2,6,6,8,12,16,12,12,4,12,24,24,4,3,2,3,6,10,
2,8,10,6,6,4,12,12,8,12,12,12,3,4,12,2,4,4,2,2,4,2,2,4,6,4,8,4,4,8,8,8,4,4,8,
16,20,4,4,16,4,4,12,8,4,4,12,12,24,8,24,4,4,4,4,4,4,8,1,1,3,4,6,2,6,6,6,6,1,1,
1,3,3,4,2,6,1,1,2,1,1,4,6,2,6,6,2,6,2,8,4,3,2,1,2,3,4,4,4,4,2,2,2,2,2,2,2,2,2,
4,4,2,2,4,4,8,4,4,4,4,4,4,4,4,1,1,1,2,1,1,1,3,1,3,1,2,2,1,2,2,2,2,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,38,73,6,48,53,21,244,36,205,334,48,44,108,57,3,49,11,16,
94,6,98,141,44,274,30,376,32,360,48,32,20,52,44,84,40,80,24,112,104,160,64,10,
30,34,30,10,14,36,64,48,88,64,8,8,6,2,2,2,15,45,3,3,137,12,180,12,270,2,6,2,3,
8,8,4,16,12,5,12,16,12,2,2,2,2,4,4,4,8,8,16,16,6,4,6,12,20,14,6,18,14,16,24,
28,12,24,4,20,36,48,24,48,24,16,8,56,48,4,24,26,6,18,18,6,18,10,10,10,10,12,
20,12,12,16,12,40,32,16,20,28,24,56,64,64,64,64,48,64,48,8,16,16,24,8,24,18,
45,1,2,3,2,6,5,3,3,8,4,4,16,16,12,12,12,24,4,2,2,4,12,6,6,4,4,6,14,6,10,14,6,
16,4,28,4,8,24,12,4,24,12,4,8,48,48,2,2,4,6,6,6,2,6,12,8,6,12,12,4,12,24,4,12,
24,3,4,8,12,4,4,2,2,2,4,4,2,4,4,8,8,4,2,2,4,6,2,4,4,8,4,4,8,8,4,16,8,8,4,4,8,
8,8,12,8,4,16,8,4,4,12,4,4,8,4,4,4,12,8,4,32,8,8,24,4,4,1,2,6,8,2,12,6,6,2,6,
6,1,1,2,1,6,3,8,12,2,2,2,4,2,1,1,2,2,2,2,2,6,8,2,6,2,6,2,4,3,1,1,3,4,8,4,4,4,
4,8,4,4,4,4,4,8,2,2,2,2,4,2,2,4,4,8,2,2,4,4,8,4,4,8,4,4,8,1,2,2,2,2,2,2,3,1,3,
1,1,1,2,2,2,2,2,2,4,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,38,73,6,48,21,53,36,244,
205,334,48,44,108,3,57,11,49,16,6,94,98,141,44,30,274,32,376,48,360,32,20,52,
84,44,80,40,112,24,104,160,64,30,10,30,34,10,14,36,48,64,88,64,8,8,6,2,2,2,15,
3,45,137,3,180,12,270,12,2,2,6,3,8,8,4,12,16,5,16,12,12,2,2,2,2,4,4,4,8,8,16,
16,4,6,6,20,12,6,14,14,18,24,16,28,24,12,20,4,36,24,48,24,48,16,56,8,48,24,4,
26,18,6,6,18,10,18,10,10,10,12,12,20,16,12,40,12,16,32,20,28,56,24,64,64,64,
48,64,64,48,8,16,16,24,8,24,18,1,45,2,3,6,2,3,5,3,4,8,4,16,12,16,12,12,24,2,4,
2,4,6,12,4,6,4,6,14,6,10,14,6,16,28,4,8,4,24,4,12,24,4,12,48,8,48,2,2,4,6,6,6,
6,2,8,12,6,12,12,12,4,4,24,24,12,3,4,8,12,4,4,2,2,2,4,4,4,2,4,8,4,8,2,2,4,6,2,
4,4,8,4,8,4,8,4,8,16,8,4,4,8,8,8,12,8,16,4,4,8,4,4,12,8,4,4,4,12,4,8,4,32,8,
24,8,4,4,1,2,6,8,12,2,6,6,6,2,6,1,1,1,2,3,6,8,12,2,2,4,2,2,1,2,1,2,2,2,6,2,8,
2,2,6,6,2,4,3,1,1,3,4,8,4,4,4,4,8,4,4,4,4,4,8,2,2,2,2,4,2,2,4,4,8,2,2,4,4,8,4,
4,8,4,4,8,1,2,2,2,2,2,2,3,1,1,3,1,1,2,2,2,2,2,2,4,2,2,2,2,2,2,4,1,1,1,1,1,1,1,
1],[1,30,97,6,16,53,33,244,156,225,430,16,60,84,57,21,45,21,24,16,94,18,114,
153,12,274,90,376,96,360,144,44,36,108,60,88,128,72,128,72,104,32,192,62,30,
22,42,22,18,52,64,72,24,160,24,8,24,16,6,2,3,1,15,45,9,9,137,36,180,36,270,9,
2,13,9,4,16,18,11,36,40,36,2,6,6,6,2,2,18,44,4,36,8,8,22,4,18,4,26,12,18,2,22,
18,14,4,28,44,36,24,4,36,4,48,48,8,16,8,16,54,12,18,26,18,22,30,54,18,18,22,
22,36,44,36,44,40,36,64,36,36,36,8,72,64,72,64,160,144,160,144,72,24,72,72,24,
72,8,8,8,16,16,16,16,18,45,3,9,2,9,9,11,9,9,16,18,40,36,36,36,72,6,6,6,12,18,
18,4,22,4,22,18,14,18,18,18,2,18,16,4,4,36,24,36,4,36,4,48,6,2,2,18,11,9,6,2,
18,2,18,12,18,36,4,36,8,24,9,12,4,12,36,12,36,12,36,18,18,2,22,2,22,4,36,18,2,
18,36,4,4,4,2,18,2,18,36,18,18,6,36,8,44,36,4,4,36,8,36,36,4,8,36,36,4,36,4,
36,8,4,4,4,4,4,4,12,4,8,4,4,8,8,8,36,36,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,16,1,2,
6,3,9,6,8,18,18,2,18,18,3,3,1,6,8,2,6,18,6,11,9,18,2,2,2,18,3,1,2,2,2,2,2,2,4,
9,9,1,9,9,4,4,4,4,4,4,4,4,4,4,4,4,18,36,18,2,2,4,2,18,18,2,2,4,18,18,36,4,18,
2,18,2,36,4,36,4,36,36,4,4,4,4,36,36,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
3,2,1,1,2,6,18,2,1,1,1,9,9,1,1,2,1,2,2,4,2,2,18,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,
4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,30,97,6,16,33,53,156,244,225,430,16,60,84,
21,57,21,45,16,24,18,94,114,153,12,90,274,96,376,144,360,44,36,60,108,128,88,
128,72,104,72,32,192,30,62,42,22,22,18,52,72,64,24,160,8,24,24,16,6,3,2,1,15,
9,45,137,9,180,36,270,36,2,9,13,9,4,18,16,11,40,36,36,6,2,6,2,6,18,2,4,44,8,
36,8,4,22,4,18,26,18,12,22,2,14,18,4,44,28,24,36,36,4,4,48,48,8,8,16,16,12,54,
26,18,22,18,54,30,18,18,22,22,36,36,44,40,44,64,36,36,36,36,8,64,72,64,72,144,
160,160,144,72,72,24,72,72,24,8,8,8,16,16,16,16,18,3,45,2,9,9,9,9,11,9,18,16,
36,40,36,36,72,6,6,6,18,12,4,18,4,22,22,14,18,18,18,2,18,18,16,4,4,24,36,4,36,
4,36,48,2,6,18,2,11,6,9,18,2,2,18,18,12,36,36,4,8,24,9,12,12,4,12,36,36,12,36,
18,2,18,22,22,2,36,4,18,18,2,4,36,4,4,18,2,18,2,36,18,6,18,8,36,44,4,36,36,4,
36,8,4,36,8,36,4,36,4,36,8,36,4,4,4,4,4,4,12,4,8,4,4,8,8,8,36,4,36,4,4,4,4,4,
8,8,8,8,8,8,8,8,8,16,1,2,6,3,6,9,8,18,18,18,2,18,3,1,3,6,8,2,6,18,6,11,9,2,18,
2,18,2,3,1,2,2,2,2,2,2,4,9,9,9,1,9,4,4,4,4,4,4,4,4,4,4,4,4,18,36,18,2,2,4,18,
2,18,2,2,18,4,18,4,36,18,18,2,2,4,36,36,36,4,36,4,4,4,4,36,36,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,3,2,1,1,2,6,18,2,1,1,9,1,9,1,1,2,1,2,2,4,2,2,18,2,2,2,
2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,46,81,10,48,57,57,
180,180,301,522,48,76,36,45,45,49,49,90,90,174,261,44,270,270,360,360,360,360,
48,36,92,100,100,72,72,72,72,176,144,30,30,18,18,18,26,52,88,144,8,16,6,6,2,2,
29,45,45,135,135,180,180,270,270,6,6,9,8,8,4,9,36,36,36,2,4,4,8,12,12,18,18,
18,18,30,30,18,18,24,24,36,36,36,36,44,8,48,48,88,12,12,18,18,18,18,30,30,10,
18,18,36,36,36,36,36,36,36,32,32,44,44,48,48,88,144,144,144,144,8,16,16,8,8,8,
8,18,18,45,45,9,6,6,9,9,9,8,8,4,36,36,36,36,72,10,10,6,6,18,18,18,18,18,18,18,
18,18,18,12,12,18,18,24,24,4,4,36,36,44,36,36,48,48,4,6,6,18,18,12,12,18,18,
36,36,36,36,24,24,9,8,4,4,2,4,4,4,4,2,4,24,4,8,8,8,8,8,4,4,4,4,4,4,8,8,8,4,4,
4,4,4,4,4,4,4,4,8,1,1,2,2,12,12,18,18,18,18,18,18,18,18,1,2,2,12,12,6,2,2,1,1,
1,1,2,2,2,2,2,2,9,9,1,9,4,4,4,4,4,4,8,2,2,2,2,2,2,2,8,2,2,8,4,4,4,4,4,4,4,4,8,
8,3,3,2,2,9,2,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,46,49,2,
112,13,13,60,60,229,178,16,60,100,9,9,25,25,8,8,6,6,22,37,140,30,30,32,32,96,
96,16,28,100,108,108,16,16,32,32,16,16,80,48,54,54,30,30,10,50,100,40,40,40,
112,56,16,1,1,7,7,1,9,9,3,3,12,12,12,12,7,7,23,23,25,4,4,28,10,10,5,24,24,20,
14,14,42,4,4,8,8,4,4,4,4,8,6,6,4,4,8,8,14,14,10,10,14,14,4,4,8,8,16,16,12,12,
4,16,16,16,16,8,8,8,8,46,46,4,4,6,6,42,42,46,46,42,2,2,4,4,4,8,8,8,8,92,92,84,
100,24,24,8,8,8,8,40,32,32,16,48,56,168,168,168,8,8,8,1,1,7,7,21,23,23,1,1,1,
4,4,28,2,2,4,4,8,8,8,2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,2,6,6,4,4,4,4,8,8,4,4,4,8,
8,4,4,4,3,3,5,5,6,6,2,2,4,4,2,2,12,12,8,8,4,4,8,8,5,28,84,84,84,2,2,2,2,2,2,2,
4,4,2,2,2,2,4,4,4,4,4,4,42,42,42,84,8,56,4,4,4,8,8,4,4,4,4,8,8,8,8,8,8,8,4,4,
4,4,8,8,4,4,12,12,4,4,4,4,4,4,4,20,4,4,8,8,4,4,8,8,8,8,4,4,4,4,4,4,4,4,8,1,1,
1,1,2,2,2,2,7,7,21,2,2,2,1,1,1,1,2,2,2,2,2,2,2,2,6,6,2,2,2,2,2,2,2,2,2,2,4,4,
2,2,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,28,4,4,4,4,4,4,4,4,2,2,2,2,2,4,4,4,4,8,2,
2,2,2,4,4,4,4,8,4,4,4,4,4,4,4,8,4,4,4,4,8,8,8,1,2,2,2,2,1,1,1,1,2,2,2,2,1,1,1,
1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,1],[1,22,57,2,16,17,13,100,60,97,
146,48,76,92,15,9,7,13,8,16,10,6,22,25,12,34,30,48,32,48,64,20,20,52,44,32,32,
16,48,16,40,32,80,38,34,34,26,14,14,52,48,40,104,144,8,8,2,1,1,1,3,5,3,5,12,
12,12,12,3,2,4,9,7,8,12,12,10,7,24,32,20,2,2,2,10,4,16,12,8,8,4,8,8,10,8,4,8,
16,4,8,14,10,14,14,14,12,16,12,16,16,24,12,12,20,8,16,8,16,8,16,24,32,22,12,4,
10,2,10,18,18,6,10,6,6,4,12,4,16,8,8,16,20,12,20,8,8,32,8,32,48,16,32,32,24,
24,24,24,1,1,3,2,3,5,3,1,1,8,2,8,4,8,4,8,2,2,4,2,4,6,4,6,2,6,4,2,6,2,4,4,8,8,
4,4,4,2,2,4,5,2,5,4,10,6,8,6,4,4,4,2,12,8,12,8,8,8,8,4,5,4,4,12,12,2,4,2,4,6,
2,6,4,4,2,2,2,4,4,4,2,2,4,6,6,8,4,8,16,4,4,4,4,8,8,4,8,8,8,4,4,4,12,8,16,12,8,
4,8,8,4,4,4,4,4,8,8,12,4,4,8,8,12,12,8,8,8,8,8,4,4,1,1,2,2,2,1,1,1,1,2,2,2,2,
3,1,2,2,2,2,3,1,1,1,4,6,4,4,2,2,2,2,2,4,2,4,4,4,2,2,2,1,2,1,1,4,4,4,4,4,4,4,4,
2,2,6,2,6,2,4,4,2,2,4,4,4,4,2,2,4,4,4,4,8,4,4,4,4,1,1,2,2,1,2,2,2,2,1,1,1,1,1,
1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,22,57,2,16,13,17,60,100,97,146,
48,76,92,9,15,13,7,16,8,6,10,22,25,12,30,34,32,48,64,48,20,20,44,52,32,32,48,
16,40,16,32,80,34,38,26,34,14,14,52,40,48,104,144,8,8,1,2,1,1,5,3,5,3,12,12,
12,12,2,3,9,4,7,12,8,10,12,7,32,24,20,2,2,2,4,10,12,16,8,8,8,4,8,8,10,8,4,4,
16,14,8,14,10,14,14,16,12,16,12,24,16,12,12,20,16,8,16,8,8,24,16,32,12,22,10,
4,10,2,18,18,10,6,6,6,4,4,12,8,16,16,8,20,12,20,8,32,8,32,8,16,48,32,32,24,24,
24,24,1,1,2,3,3,5,1,3,1,2,8,4,8,4,8,8,2,2,2,4,4,4,6,6,6,2,4,2,2,6,4,4,8,8,4,4,
4,2,4,2,2,5,4,5,6,10,6,8,4,4,2,4,8,12,8,12,8,8,4,8,5,4,4,12,12,4,2,2,4,6,6,2,
4,4,2,2,2,4,4,4,2,2,4,6,6,8,8,4,16,4,4,4,4,8,4,8,8,8,8,4,4,12,4,8,16,8,12,8,4,
8,4,4,4,4,8,4,8,4,12,4,8,8,12,12,8,8,8,8,8,4,4,1,2,1,2,2,1,1,1,2,1,2,2,2,3,1,
2,2,2,2,1,3,1,1,4,4,6,4,2,2,2,2,2,4,4,2,4,4,2,2,1,2,2,1,1,4,4,4,4,4,4,4,4,2,2,
6,6,2,2,4,4,2,2,4,4,4,4,2,2,4,4,4,4,8,4,4,4,4,1,1,2,2,1,2,2,2,2,1,1,1,1,1,1,1,
1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,18,45,112,6,45,15,180,135,270,144,
45,45,90,90,135,270,360,360,64,120,36,240,48,6,15,45,135,180,270,36,72,72,18,
45,48,24,60,3,24,36,1,9,12,1,3,1],[1,18,45,112,6,15,45,180,135,270,144,45,45,
90,90,135,270,360,360,64,120,240,36,48,6,15,45,135,180,270,36,72,72,18,45,48,
24,3,60,24,36,1,9,12,1,3,1],[1,18,45,64,48,6,45,15,180,135,270,144,45,45,90,
90,135,270,360,360,64,96,240,24,36,48,6,15,45,135,180,270,36,72,72,18,45,48,
24,60,3,24,36,1,9,12,1,3,1],[1,18,45,64,48,6,15,45,180,135,270,144,45,45,90,
90,135,270,360,360,64,96,240,24,36,48,6,15,45,135,180,270,36,72,72,18,45,48,
24,60,3,24,36,1,9,12,1,3,1],[1,12,15,16,96,16,5,30,18,18,48,96,3,15,12,36,9,
12,64,4,80,20,40,48,16,32,1,1,3,3,9,9,9,12,12,24,12,3,3,9,16,32,1,4,5,4,4,8,
12,12,1,3,3,4,4,1,1,1,1,1],[1,12,15,16,96,16,5,30,18,18,48,96,3,15,12,36,9,12,
64,4,80,20,40,48,16,32,1,1,3,3,9,9,9,12,12,24,12,3,3,9,16,32,1,4,5,4,4,8,12,
12,1,3,3,4,4,1,1,1,1,1],[1,12,63,16,24,5,102,18,72,90,16,64,96,48,72,3,12,15,
18,72,72,90,9,18,72,18,16,20,10,12,8,24,48,48,24,1,9,36,9,18,36,36,18,36,16,
16,16,12,12,48,36,12,12,6,24,3,12,9,9,18,8,16,1,1,2,12,6,12,6,9,8,1,4,3,3,3,6,
1,3,3,1,1,1,1],[1,12,63,16,24,5,102,18,72,90,16,64,96,48,72,3,12,15,18,72,72,
90,9,18,72,18,16,20,10,12,8,24,48,48,24,1,9,36,9,18,36,36,18,36,16,16,16,12,
12,48,36,12,12,6,24,3,12,9,9,18,8,16,1,1,2,12,6,12,6,9,8,1,4,3,3,3,6,1,3,3,1,
1,1,1],[1,66,9,40,2,108,3,3,63,18,36,54,176,120,3,3,6,9,27,36,90,36,36,36,9,9,
18,45,18,18,16,18,12,12,8,120,24,1,9,9,9,18,9,9,18,18,18,9,18,18,18,18,16,32,
24,24,60,12,12,6,24,3,3,9,9,9,9,9,8,16,1,1,2,12,12,6,6,9,8,1,1,3,3,3,3,6,1,3,
3,1,1,1,1],[1,36,63,4,36,3,52,3,1,54,18,117,153,48,12,18,4,12,28,132,36,36,9,
3,27,45,27,9,18,6,54,18,30,3,27,9,9,18,18,18,18,198,36,9,9,9,72,36,16,1,32,1,
8,12,4,12,4,12,36,12,36,36,36,12,12,12,12,1,3,3,9,9,3,3,9,9,9,9,9,9,27,9,9,9,
9,9,9,9,9,9,9,27,63,63,18,18,18,18,16,16,16,1,1,3,9,48,6,24,3,9,6,12,4,12,4,
12,12,12,12,12,12,12,12,12,12,9,3,3,9,9,9,9,9,9,9,9,9,9,9,9,4,4,16,2,1,3,1,3,
3,9,3,3,3,9,6,6,3,3,3,3,12,12,9,4,4,4,4,4,4,6,1,3,1,3,3,3,3,3,3,3,3,3,3,3,1,4,
4,3,3,1,1,1,1],[1,36,63,4,36,3,52,1,3,18,54,117,153,48,12,18,4,12,28,132,36,
36,3,9,27,45,9,27,6,18,18,54,30,3,27,9,9,18,18,18,18,198,36,9,9,9,72,36,16,1,
32,1,8,12,4,4,12,12,36,36,12,36,36,12,12,12,12,3,1,9,3,3,9,3,9,9,9,9,9,9,27,9,
9,9,9,9,9,9,9,9,9,63,27,63,18,18,18,18,16,16,16,1,1,3,9,48,6,24,3,9,6,12,12,4,
4,12,12,12,12,12,12,12,12,12,12,3,9,3,9,9,9,9,9,9,9,9,9,9,9,9,4,4,16,2,1,1,3,
3,3,9,3,3,9,3,6,6,3,3,3,3,12,12,9,4,4,4,4,4,4,6,3,1,1,3,3,3,3,3,3,3,3,3,3,3,1,
4,4,3,3,1,1,1,1],[1,36,27,4,1,48,63,27,12,54,54,20,36,36,9,18,12,36,36,27,27,
18,108,36,1,4,12,28,60,36,4,12,27,9,18,9,18,18,1,3,3,8,12,12,4,12,12,12,12,9,
9,9,1,3,3,6,6,4,4,4,4,12,9,1,3,3,12,2,2,4,4,4,4,3,1,1,2,2,2,1,1,1,1],[1,49,49,
147,49,8,49,56,14,14,1,1,1,3,1,1],[1,25,100,75,6,100,25,30,30,25,1,1,4,3,4,1,
1],[1,20,75,10,5,75,75,31,10,50,50,25,7,165,45,5,50,10,5,45,15,25,6,10,10,10,
5,6,12,1,5,10,6,5,5,1,1],[1,38,105,6,45,45,180,180,285,510,60,60,16,45,15,45,
35,90,30,130,165,270,150,360,160,360,240,60,60,60,60,120,120,120,120,240,30,
30,30,30,30,30,240,16,48,48,6,15,45,15,15,135,60,180,60,270,15,15,60,60,60,30,
30,30,30,60,60,30,30,30,30,30,30,30,30,60,60,60,60,60,60,60,60,240,240,240,
240,16,48,48,18,45,5,15,15,15,15,60,60,60,60,120,10,10,30,30,30,30,30,30,60,
60,30,30,60,60,15,16,1,30,30,30,30,15,15,1,5,1,3,3,1,3,3,1],[1,38,105,6,45,45,
180,180,285,510,60,60,16,15,45,35,45,30,90,130,165,150,270,160,360,240,360,60,
60,60,60,120,120,120,120,240,30,30,30,30,30,30,240,16,48,48,6,15,15,45,135,15,
180,60,270,60,15,15,60,60,60,30,30,30,30,60,60,30,30,30,30,30,30,30,30,60,60,
60,60,60,60,60,60,240,240,240,240,16,48,48,18,5,45,15,15,15,15,60,60,60,60,
120,10,10,30,30,30,30,30,30,60,60,30,30,60,60,15,16,1,30,30,30,30,15,15,1,5,1,
3,3,1,3,3,1],[1,26,45,15,15,60,20,85,100,100,40,16,10,5,15,20,25,30,60,20,40,
20,20,20,40,20,80,40,50,20,10,10,80,40,40,16,16,16,1,5,15,15,20,5,10,20,15,5,
20,10,10,20,20,10,10,20,10,10,20,40,40,20,20,20,32,16,1,5,10,5,5,5,10,5,10,10,
5,10,20,10,10,10,16,5,5,5,10,10,1,5,1,1,1,1,2,1],[1,26,45,15,15,20,60,85,100,
100,40,16,5,10,15,20,25,30,60,40,20,20,20,40,20,80,20,40,50,10,20,10,80,40,40,
16,16,16,1,5,15,15,20,5,10,20,15,5,20,10,10,20,20,10,10,20,10,20,10,40,40,20,
20,20,32,16,1,5,10,5,5,5,10,5,10,10,5,10,20,10,10,10,16,5,5,5,10,10,1,5,1,1,1,
1,2,1],[1,26,45,15,15,60,20,85,100,80,20,40,16,10,5,15,20,25,30,60,20,40,20,
20,20,40,20,80,40,10,20,10,10,120,40,40,16,16,16,1,5,15,15,20,5,10,15,5,10,20,
10,20,20,20,10,10,20,10,10,20,40,40,20,20,20,32,16,1,5,10,5,5,5,10,5,10,10,5,
10,20,10,10,10,16,5,5,5,10,10,1,5,1,1,1,1,2,1],[1,26,45,15,15,20,60,85,100,80,
20,40,16,5,10,15,20,25,30,60,40,20,20,20,40,20,80,20,40,10,10,20,10,120,40,40,
16,16,16,1,5,15,15,20,5,10,15,5,10,20,10,20,20,20,10,10,20,10,20,10,40,40,20,
20,20,32,16,1,5,10,5,5,5,10,5,10,10,5,10,20,10,10,10,16,5,5,5,10,10,1,5,1,1,1,
1,2,1],[1,66,21,28,148,7,7,189,84,84,28,84,8,21,21,147,21,189,63,63,63,63,7,7,
28,84,84,24,7,7,21,63,63,63,63,8,7,7,21,21,21,21,28,8,21,24,7,7,21,21,21,21,8,
7,7,1,3,1],[1,24,63,28,1,7,7,42,42,105,147,42,42,28,84,84,8,7,7,21,21,21,14,
14,42,42,21,21,21,21,42,42,42,42,84,21,21,84,7,7,28,84,84,24,7,7,21,21,21,21,
21,42,42,42,42,8,7,7,7,7,14,14,7,7,14,14,28,8,21,24,7,7,7,7,7,7,14,14,14,14,8,
7,7,1,1,2,1],[1,22,21,28,7,7,63,64,42,28,28,28,8,7,7,21,21,21,21,21,84,7,7,28,
28,28,8,7,7,21,21,21,21,21,8,7,7,7,7,7,7,28,8,21,8,7,7,7,7,7,7,8,7,7,1,1,1],[
1,49,22,14,21,56,49,3,2,3,1,7,1,1],[1,46,45,40,15,15,135,90,36,120,120,40,15,
15,45,45,45,45,45,10,36,36,36,15,15,120,45,10,10,10,36,15,15,15,15,15,15,10,
20,15,15,6,6,10,6,6,1,1],[1,1,90,40,15,15,45,45,45,45,45,36,240,40,15,15,45,
45,45,45,45,10,72,36,15,15,120,45,20,10,36,15,15,15,15,15,15,10,10,10,15,15,6,
6,10,6,6,1,1],[1,18,45,94,6,15,15,45,90,6,10,30,90,30,45,40,6,18,18,66,60,60,
30,30,30,24,5,40,6,18,18,30,10,24,30,6,5,5,10,1,6,10,3,6,5,4,1,1],[1,30,45,40,
15,15,135,90,36,40,120,120,15,15,45,45,45,45,45,10,36,15,15,120,45,10,40,36,
15,15,15,15,15,15,10,20,15,15,6,6,10,6,6,1,1],[1,58,45,31,5,90,135,45,60,6,
121,105,115,15,45,60,90,45,10,6,18,18,15,5,45,95,195,15,15,15,6,45,10,10,10,
40,24,18,50,15,5,45,15,15,15,15,15,6,6,6,10,5,20,20,20,18,15,15,1,6,6,6,5,10,
5,5,4,3,6,5,1,3,1,1,1,1],[1,30,81,64,10,57,57,180,180,261,522,36,36,192,45,45,
45,45,90,90,174,261,270,270,360,360,360,360,36,36,36,36,72,72,72,72,144,18,18,
18,18,18,18,144,96,240,64,6,6,29,45,45,135,135,180,180,270,270,9,9,36,36,36,
18,18,18,18,18,18,18,18,36,36,36,36,18,18,18,18,18,18,18,18,36,36,36,36,36,36,
36,36,144,144,144,144,48,96,96,18,18,45,45,9,9,9,9,36,36,36,36,72,6,6,6,6,18,
18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,18,18,18,18,36,36,36,36,9,24,24,
60,32,48,1,1,18,18,18,18,18,18,18,18,6,9,9,9,12,24,24,3,3,9,1,4,1,3,1],[1,30,
81,64,10,57,57,180,180,261,522,36,36,192,45,45,45,45,90,90,174,261,270,270,
360,360,360,360,36,36,36,36,72,72,72,72,144,18,18,18,18,18,18,144,96,240,64,6,
6,29,45,45,135,135,180,180,270,270,9,9,36,36,36,18,18,18,18,18,18,18,18,36,36,
36,36,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,144,144,144,144,48,96,
96,18,18,45,45,9,9,9,9,36,36,36,36,72,6,6,6,6,18,18,18,18,18,18,18,18,18,18,
18,18,36,36,36,36,18,18,18,18,36,36,36,36,9,24,24,60,32,48,1,1,18,18,18,18,18,
18,18,18,6,9,9,9,12,24,24,3,3,9,1,4,1,3,1],[1,30,81,64,6,16,45,33,180,156,225,
414,36,36,192,45,21,45,21,24,90,18,114,153,12,270,90,360,96,360,144,36,36,108,
36,72,72,72,72,72,144,54,18,18,18,18,18,36,72,144,24,24,96,240,64,6,3,1,15,45,
9,9,135,36,180,36,270,9,9,9,18,9,36,36,36,6,6,6,18,36,36,18,18,18,18,18,18,36,
36,36,54,18,18,18,18,54,18,18,18,18,36,36,36,36,36,36,36,36,36,36,72,72,144,
144,144,144,72,72,72,72,48,96,96,18,45,3,9,9,9,9,9,9,18,36,36,36,36,72,6,6,6,
18,18,18,18,18,18,18,18,18,36,36,36,6,18,9,9,18,18,18,36,36,9,12,12,36,36,12,
36,18,18,18,18,36,18,18,36,18,18,36,18,18,36,36,36,36,36,36,36,36,36,36,36,36,
24,60,16,1,2,6,3,9,18,18,18,18,3,3,6,18,6,9,9,18,18,9,9,9,9,18,36,18,18,18,18,
18,36,18,18,36,36,36,36,36,36,12,24,24,3,6,18,9,9,18,1,8,12,1,3,1],[1,30,81,
64,6,16,33,45,156,180,225,414,36,36,192,21,45,21,45,24,18,90,114,153,12,90,
270,96,360,144,360,36,36,36,108,72,72,72,72,72,144,18,54,18,18,18,18,36,72,
144,24,24,96,240,64,6,3,1,15,9,45,135,9,180,36,270,36,9,9,9,18,9,36,36,36,6,6,
6,18,36,36,18,18,18,18,18,18,36,36,36,54,18,18,18,54,18,18,18,18,18,36,36,36,
36,36,36,36,36,36,36,72,72,144,144,144,144,72,72,72,72,48,96,96,18,3,45,9,9,9,
9,9,9,18,36,36,36,36,72,6,6,6,18,18,18,18,18,18,18,18,18,36,36,36,6,18,9,9,18,
18,18,36,36,9,12,12,36,36,12,36,18,18,18,18,36,18,18,36,18,18,36,18,18,36,36,
36,36,36,36,36,36,36,36,36,36,24,60,16,1,2,6,3,9,18,18,18,18,3,3,6,18,6,9,9,
18,18,9,9,9,9,18,36,18,18,18,18,18,36,18,18,36,36,36,36,36,36,12,24,24,3,6,18,
9,9,18,1,8,12,1,3,1],[1,30,81,64,6,16,33,45,156,180,225,414,36,36,192,21,45,
21,45,24,18,90,114,153,12,90,270,96,360,144,360,36,36,36,108,72,72,72,72,72,
144,18,54,18,18,18,18,36,72,144,24,24,16,32,48,48,64,6,3,1,15,9,45,135,9,180,
36,270,36,9,9,9,18,9,36,36,36,6,6,6,18,36,36,18,18,18,18,18,18,36,36,36,54,18,
18,18,54,18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,72,72,144,144,144,144,
72,72,72,72,48,48,48,96,96,96,96,96,18,3,45,9,9,9,9,9,9,18,36,36,36,36,72,6,6,
6,18,18,18,18,18,18,18,18,18,36,36,36,6,18,9,9,18,18,18,36,36,9,12,12,36,36,
12,36,18,18,18,18,36,18,18,36,18,18,36,18,18,36,36,36,36,36,36,36,36,36,36,36,
36,4,16,32,48,48,96,96,1,2,6,3,9,18,18,18,18,3,3,6,18,6,9,9,18,18,9,9,9,9,18,
36,18,18,18,18,18,36,18,18,36,36,36,36,36,36,12,12,12,3,6,18,9,9,18,4,8,24,12,
12,24,1,1],[1,30,81,64,6,16,45,33,180,156,225,414,36,36,192,45,21,45,21,24,90,
18,114,153,12,270,90,360,96,360,144,36,36,108,36,72,72,72,72,72,144,54,18,18,
18,18,18,36,72,144,24,24,16,32,48,48,64,6,3,1,15,45,9,9,135,36,180,36,270,9,9,
9,18,9,36,36,36,6,6,6,18,36,36,18,18,18,18,18,18,36,36,36,54,18,18,18,18,54,
18,18,18,18,36,36,36,36,36,36,36,36,36,36,72,72,144,144,144,144,72,72,72,72,
48,48,48,96,96,96,96,96,18,45,3,9,9,9,9,9,9,18,36,36,36,36,72,6,6,6,18,18,18,
18,18,18,18,18,18,36,36,36,6,18,9,9,18,18,18,36,36,9,12,12,36,36,12,36,18,18,
18,18,36,18,18,36,18,18,36,18,18,36,36,36,36,36,36,36,36,36,36,36,36,4,16,32,
48,48,96,96,1,2,6,3,9,18,18,18,18,3,3,6,18,6,9,9,18,18,9,9,9,9,18,36,18,18,18,
18,18,36,18,18,36,36,36,36,36,36,12,12,12,3,6,18,9,9,18,4,8,24,12,12,24,1,1],[
1,30,81,64,10,57,57,180,180,261,522,36,36,192,45,45,45,45,90,90,174,261,270,
270,360,360,360,360,36,36,36,36,72,72,72,72,144,18,18,18,18,18,18,144,48,48,
48,64,6,6,29,45,45,135,135,180,180,270,270,9,9,36,36,36,18,18,18,18,18,18,18,
18,36,36,36,36,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,144,144,144,
144,48,48,96,96,144,18,18,45,45,9,9,9,9,36,36,36,36,72,6,6,6,6,18,18,18,18,18,
18,18,18,18,18,18,18,36,36,36,36,18,18,18,18,36,36,36,36,9,24,4,4,48,48,48,1,
1,18,18,18,18,18,18,18,18,6,9,9,9,12,12,12,3,3,9,4,4,12,1,1],[1,30,81,64,6,16,
45,33,180,156,225,414,36,36,192,45,21,45,21,24,90,18,114,153,12,270,90,360,96,
360,144,36,36,108,36,72,72,72,72,72,144,54,18,18,18,18,18,36,72,144,24,24,64,
32,48,64,6,3,1,15,45,9,9,135,36,180,36,270,9,9,9,18,9,36,36,36,6,6,6,18,36,36,
18,18,18,18,18,18,36,36,36,54,18,18,18,18,54,18,18,18,18,36,36,36,36,36,36,36,
36,36,36,72,72,144,144,144,144,72,72,72,72,48,96,96,18,45,3,9,9,9,9,9,9,18,36,
36,36,36,72,6,6,6,18,18,18,18,18,18,18,18,18,36,36,36,6,18,9,9,18,18,18,36,36,
9,12,12,36,36,12,36,18,18,18,18,36,18,18,36,18,18,36,18,18,36,36,36,36,36,36,
36,36,36,36,36,36,4,4,32,48,12,1,2,6,3,9,18,18,18,18,3,3,6,18,6,9,9,18,18,9,9,
9,9,18,36,18,18,18,18,18,36,18,18,36,36,36,36,36,36,12,12,12,24,3,6,18,9,9,18,
1,4,4,12,1,3,1],[1,30,81,64,6,16,33,45,156,180,225,414,36,36,192,21,45,21,45,
24,18,90,114,153,12,90,270,96,360,144,360,36,36,36,108,72,72,72,72,72,144,18,
54,18,18,18,18,36,72,144,24,24,64,32,48,64,6,3,1,15,9,45,135,9,180,36,270,36,
9,9,9,18,9,36,36,36,6,6,6,18,36,36,18,18,18,18,18,18,36,36,36,54,18,18,18,54,
18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,72,72,144,144,144,144,72,72,72,
72,48,96,96,18,3,45,9,9,9,9,9,9,18,36,36,36,36,72,6,6,6,18,18,18,18,18,18,18,
18,18,36,36,36,6,18,9,9,18,18,18,36,36,9,12,12,36,36,12,36,18,18,18,18,36,18,
18,36,18,18,36,18,18,36,36,36,36,36,36,36,36,36,36,36,36,4,4,32,48,12,1,2,6,3,
9,18,18,18,18,3,3,6,18,6,9,9,18,18,9,9,9,9,18,36,18,18,18,18,18,36,18,18,36,
36,36,36,36,36,12,12,12,24,3,6,18,9,9,18,1,4,4,12,1,3,1],[1,46,81,64,6,48,21,
57,36,252,249,366,48,60,84,64,64,64,3,63,7,63,24,6,90,98,153,36,30,270,32,360,
48,408,48,36,60,156,60,96,24,96,72,144,144,96,66,18,42,6,6,18,60,72,72,96,24,
96,240,64,6,3,3,15,3,51,135,3,180,12,270,12,9,15,9,12,18,3,24,12,12,6,12,24,
12,18,6,12,6,30,6,18,18,6,36,48,48,12,12,12,36,72,72,72,72,66,36,6,18,18,54,
18,30,6,6,12,12,12,24,12,48,12,60,36,60,72,72,72,72,96,48,48,96,72,72,16,48,
64,96,16,32,32,18,1,45,9,9,15,3,3,3,12,18,12,12,24,12,24,2,6,2,6,6,18,6,6,6,6,
18,6,12,6,6,18,6,24,36,48,12,36,12,12,72,72,12,9,9,6,6,18,6,18,12,12,12,36,36,
3,12,36,6,6,6,12,6,6,12,18,12,24,12,12,24,24,12,12,12,12,12,12,12,12,24,12,24,
60,16,32,1,3,9,12,18,6,6,6,6,6,3,3,9,12,18,3,3,6,6,6,6,6,3,3,3,12,12,12,12,6,
6,6,12,12,6,12,12,4,12,16,24,4,8,8,1,3,3,3,3,3,3,6,6,6,6,1,4,8,3,1,1,1,1],[1,
46,81,64,6,48,57,21,252,36,249,366,48,60,84,64,64,64,63,3,63,7,24,90,6,98,153,
36,270,30,360,32,408,48,48,36,60,60,156,24,96,72,96,144,144,96,18,66,6,42,6,
18,60,72,72,96,24,96,240,64,6,3,3,15,51,3,3,135,12,180,12,270,9,15,9,12,18,3,
12,24,12,6,12,24,12,18,6,6,12,30,18,6,6,18,36,48,12,48,12,12,36,72,72,72,72,
66,36,18,6,54,18,30,18,6,6,12,12,12,12,24,12,48,60,36,60,72,72,72,72,48,96,48,
96,72,72,16,48,64,96,16,32,32,18,45,1,9,9,15,3,3,3,12,18,12,12,12,24,24,6,2,2,
6,18,6,6,6,6,6,18,12,6,6,6,18,6,24,36,48,12,36,12,12,72,72,12,9,9,6,6,18,6,18,
12,12,12,36,36,3,12,36,6,6,6,12,6,6,12,18,12,24,12,12,24,24,12,12,12,12,12,12,
12,12,24,12,24,60,16,32,1,3,9,12,18,6,6,6,6,6,3,3,9,12,18,3,3,6,6,6,6,6,3,3,3,
12,12,12,12,6,6,6,12,12,6,12,12,4,12,16,24,4,8,8,1,3,3,3,3,3,3,6,6,6,6,1,4,8,
3,1,1,1,1],[1,22,105,64,6,69,21,372,36,165,366,36,156,128,64,81,3,45,7,48,102,
6,98,141,282,30,408,32,360,48,36,12,12,84,72,192,24,192,312,96,6,42,18,78,18,
6,192,96,24,96,240,64,6,6,15,45,3,3,141,12,180,12,270,6,3,48,9,12,24,12,6,6,6,
12,24,12,6,12,6,36,6,6,6,42,84,12,72,12,12,144,144,36,78,6,18,42,6,6,6,18,18,
12,36,12,12,24,12,96,12,192,192,96,48,96,48,72,72,32,192,16,32,32,18,45,1,6,3,
9,3,3,48,24,12,12,12,24,2,2,36,6,6,12,12,6,42,6,6,6,6,48,72,12,12,12,12,144,6,
6,18,6,6,6,36,12,12,12,72,3,12,36,6,6,12,6,12,6,6,18,24,12,12,24,12,12,12,24,
12,12,24,24,24,12,24,60,16,32,1,18,24,6,6,6,6,6,3,18,24,6,6,6,6,12,3,3,3,12,
12,12,12,12,6,12,12,6,12,12,24,32,4,8,8,1,6,6,3,3,12,6,6,1,4,8,3,2,1,1],[1,22,
105,64,6,21,69,36,372,165,366,36,156,128,64,3,81,7,45,48,6,102,98,141,30,282,
32,408,48,360,36,12,84,12,192,72,192,24,312,96,42,6,78,18,18,6,192,96,24,96,
240,64,6,6,15,3,45,141,3,180,12,270,12,6,3,48,9,24,12,12,6,6,6,12,24,12,12,6,
6,36,6,6,42,6,84,72,12,12,12,144,144,36,78,18,6,6,42,6,6,18,18,12,12,36,24,12,
96,12,12,192,192,48,96,96,48,72,72,32,192,16,32,32,18,1,45,6,3,3,9,3,48,12,24,
12,12,24,2,2,6,36,12,6,12,6,42,6,6,6,6,48,72,12,12,12,12,144,6,6,18,6,6,6,36,
12,12,12,72,3,12,36,6,6,12,6,12,6,6,18,24,12,12,24,12,12,12,24,12,12,24,24,24,
12,24,60,16,32,1,18,24,6,6,6,6,6,3,18,24,6,6,6,6,12,3,3,3,12,12,12,12,12,6,12,
12,6,12,12,24,32,4,8,8,1,6,6,3,3,12,6,6,1,4,8,3,2,1,1],[1,70,57,64,6,144,45,
21,180,36,285,318,96,84,12,128,64,45,3,57,19,90,6,98,141,132,270,30,360,32,
360,48,96,12,132,108,156,24,24,24,24,384,48,18,42,6,6,6,30,108,192,48,24,96,
240,64,6,6,6,15,45,3,3,135,12,180,12,270,18,6,3,24,12,12,3,12,12,12,6,12,12,
24,36,6,6,36,6,6,12,72,12,12,72,24,24,144,144,12,36,6,6,6,6,42,18,30,6,6,12,
12,12,12,12,12,12,96,48,36,84,72,144,192,48,48,48,48,24,48,48,24,96,128,16,32,
32,18,45,1,3,6,18,3,3,3,24,12,12,12,12,12,12,24,12,2,2,6,6,6,6,6,36,6,12,72,
12,12,12,72,12,24,144,12,18,6,36,6,6,12,12,72,12,3,24,12,12,6,12,12,12,12,6,
12,12,24,24,24,24,24,12,12,12,12,12,12,12,12,12,24,60,16,32,1,6,6,36,6,6,6,6,
3,6,36,6,6,3,3,6,6,6,3,3,3,12,12,12,12,6,6,6,24,6,24,8,48,4,8,8,1,6,6,3,3,6,6,
6,6,1,4,8,3,2,1,1],[1,70,57,64,6,144,21,45,36,180,285,318,96,84,12,128,64,3,
45,19,57,6,90,98,141,132,30,270,32,360,48,360,96,12,132,156,108,24,24,24,24,
384,48,42,18,6,6,6,30,108,192,48,24,96,240,64,6,6,6,15,3,45,135,3,180,12,270,
12,6,18,3,12,24,12,3,12,12,12,6,12,12,24,36,6,6,6,36,6,72,12,12,12,72,24,144,
24,144,36,12,6,6,6,6,18,42,30,6,6,12,12,12,12,12,12,12,48,96,36,84,144,72,192,
48,48,48,48,24,48,48,24,96,128,16,32,32,18,1,45,3,18,6,3,3,3,12,24,12,12,12,
12,12,24,2,12,2,6,6,6,6,6,36,6,72,12,12,12,12,72,12,144,24,12,18,6,6,36,6,12,
12,12,72,3,24,12,12,6,12,12,12,12,6,12,12,24,24,24,24,24,12,12,12,12,12,12,12,
12,12,24,60,16,32,1,6,36,6,6,6,6,6,3,6,36,6,6,3,3,6,6,6,3,3,3,12,12,12,12,6,6,
6,24,6,24,8,48,4,8,8,1,6,6,3,3,6,6,6,6,1,4,8,3,2,1,1],[1,22,57,64,6,21,45,36,
180,165,318,16,12,60,64,3,45,7,45,6,90,98,141,30,270,32,360,48,360,12,12,12,
12,24,24,24,24,48,6,6,6,30,6,6,48,24,48,96,240,64,6,15,3,45,135,3,180,12,270,
12,3,4,12,3,12,12,12,6,6,12,6,18,12,12,12,12,24,24,6,6,6,6,6,6,6,6,12,12,12,
12,12,12,12,12,48,48,48,48,16,32,32,18,1,45,3,3,3,3,12,12,12,12,24,2,2,6,6,6,
6,6,6,12,12,6,6,6,6,12,12,12,3,12,12,12,12,24,24,24,60,16,1,6,6,6,6,1,3,6,6,6,
6,3,3,4,8,8,1,3,3,1,4,1,1,1],[1,22,57,64,6,45,21,180,36,165,318,16,12,60,64,
45,3,45,7,90,6,98,141,270,30,360,32,360,48,12,12,12,12,24,24,24,24,48,6,6,30,
6,6,6,48,24,48,96,240,64,6,15,45,3,3,135,12,180,12,270,3,4,12,3,12,12,12,6,6,
12,6,18,12,12,12,12,24,24,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,48,48,48,48,
16,32,32,18,45,1,3,3,3,3,12,12,12,12,24,2,2,6,6,6,6,6,6,12,12,6,6,6,6,12,12,
12,3,12,12,12,12,24,24,24,60,16,1,6,6,6,6,1,3,6,6,6,6,3,3,4,8,8,1,3,3,1,4,1,1,
1],[1,22,57,64,6,45,21,180,36,165,318,48,60,12,64,45,3,45,7,90,6,98,141,270,
30,360,32,360,48,12,12,12,12,24,24,24,24,48,30,6,6,6,6,6,48,72,48,48,96,240,
64,6,15,45,3,3,135,12,180,12,270,12,3,12,3,12,12,12,12,6,6,18,6,12,12,12,12,
48,48,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,48,48,48,48,24,24,24,16,32,32,
18,45,1,3,3,3,3,12,12,12,12,24,2,2,6,6,6,6,6,6,12,12,6,6,6,6,12,12,24,3,12,12,
12,12,12,12,12,12,12,24,24,60,16,32,1,6,6,6,6,6,3,3,6,3,3,6,6,6,12,12,12,12,4,
8,8,1,3,3,6,6,1,4,8,3,1,1],[1,22,57,64,6,21,45,36,180,165,318,48,60,12,64,3,
45,7,45,6,90,98,141,30,270,32,360,48,360,12,12,12,12,24,24,24,24,48,6,30,6,6,
6,6,48,72,48,48,96,240,64,6,15,3,45,135,3,180,12,270,12,12,3,12,3,12,12,12,12,
6,6,18,6,12,12,12,12,48,48,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,48,48,48,
48,24,24,24,16,32,32,18,1,45,3,3,3,3,12,12,12,12,24,2,2,6,6,6,6,6,6,12,12,6,6,
6,6,12,12,24,3,12,12,12,12,12,12,12,12,12,24,24,60,16,32,1,6,6,6,6,6,3,3,6,3,
3,6,6,6,12,12,12,12,4,8,8,1,3,3,6,6,1,4,8,3,1,1],[1,18,85,64,16,11,39,12,252,
57,132,48,12,96,128,64,3,46,9,48,32,21,12,42,108,24,20,12,12,24,120,12,144,12,
168,12,96,24,6,42,24,18,12,24,120,72,24,24,12,24,64,32,48,64,1,6,1,3,21,15,3,
12,6,30,9,6,3,6,3,3,6,12,24,9,3,12,6,12,6,6,12,12,36,36,24,24,6,42,3,24,6,18,
36,6,60,6,12,12,24,120,120,24,24,12,72,12,72,12,12,12,24,24,24,24,64,32,64,16,
32,32,1,3,9,30,6,3,4,3,3,6,3,12,12,12,6,6,36,1,3,3,6,3,6,18,12,36,2,6,3,6,6,6,
12,12,9,3,18,3,6,12,6,6,24,6,6,12,6,6,12,24,12,6,6,6,6,12,12,12,12,12,12,24,4,
4,12,16,32,1,6,3,3,3,3,6,3,3,6,6,6,6,6,12,6,12,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,8,8,4,4,4,8,8,3,1,3,3,3,3,3,6,6,6,6,1,4,4,4,3,1,2,1],[1,18,85,64,16,39,
11,252,12,57,132,48,12,96,128,64,46,3,9,48,32,21,12,42,108,20,24,12,24,12,12,
120,12,144,12,168,96,24,6,24,42,18,12,120,24,72,24,12,24,24,64,32,48,64,1,6,1,
3,21,15,3,12,30,6,9,6,6,3,3,3,6,12,24,9,3,12,6,12,6,6,12,12,36,36,24,24,6,3,
42,24,6,18,36,6,6,60,12,12,24,120,120,24,24,72,12,72,12,12,12,12,24,24,24,24,
64,32,64,16,32,32,1,3,9,30,6,3,4,3,3,6,3,12,12,12,6,6,36,1,3,3,6,3,6,18,12,36,
2,6,3,6,6,6,12,12,9,3,3,18,6,12,6,6,24,6,6,12,6,6,12,24,12,6,6,6,6,12,12,12,
12,12,12,24,4,4,12,16,32,1,6,3,3,3,3,6,3,3,6,6,6,6,6,12,6,12,3,3,3,3,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,8,8,4,4,4,8,8,3,1,3,3,3,3,3,6,6,6,6,1,4,4,4,3,1,2,1],[1,
18,37,64,16,11,15,12,60,57,84,84,96,64,3,10,9,20,21,12,30,60,24,20,12,12,24,
24,12,48,12,12,24,36,30,42,12,6,60,24,72,72,12,24,64,32,48,64,1,1,3,15,15,6,
15,6,18,3,12,6,3,6,3,3,6,6,12,12,12,9,3,12,12,6,6,6,6,36,36,6,12,36,36,6,3,12,
6,6,12,6,12,6,12,12,24,24,12,12,12,12,12,16,32,32,1,3,3,6,3,4,3,3,6,3,6,6,1,3,
6,3,6,3,18,6,18,2,6,6,3,6,6,6,9,3,3,6,12,6,6,6,12,12,6,12,12,6,12,6,6,6,6,6,
12,12,4,4,12,16,32,1,3,6,3,3,3,3,6,3,3,6,6,3,3,3,6,6,6,6,6,6,6,6,6,6,4,4,4,8,
1,3,3,3,3,3,3,1,4,4,4,3,1,1],[1,18,37,64,16,15,11,60,12,57,84,84,96,64,10,3,9,
20,21,12,30,60,20,24,12,24,12,12,24,12,48,12,24,30,36,12,42,6,60,72,24,72,12,
24,64,32,48,64,1,1,3,15,15,6,15,18,6,3,6,12,3,3,6,6,3,6,12,12,12,9,3,12,6,12,
6,6,36,6,6,36,12,36,36,6,3,12,6,6,12,6,6,12,12,12,24,24,12,12,12,12,12,16,32,
32,1,3,3,6,3,4,3,3,6,3,6,6,1,3,6,3,6,3,18,6,18,2,6,3,6,6,6,6,9,3,3,6,12,6,6,6,
12,6,12,12,12,6,12,6,6,6,6,6,12,12,4,4,12,16,32,1,3,6,3,3,3,3,6,3,3,6,6,3,3,3,
6,6,6,6,6,6,6,6,6,6,4,4,4,8,1,3,3,3,3,3,3,1,4,4,4,3,1,1],[1,30,113,16,6,61,33,
324,108,225,462,52,132,16,80,80,69,9,45,21,32,102,18,114,153,282,90,408,96,
360,144,52,36,36,84,120,192,72,192,216,192,18,42,30,66,30,18,144,192,24,8,12,
16,16,48,48,80,16,16,6,4,15,45,9,9,141,36,180,36,270,4,9,36,15,36,48,36,6,6,6,
12,24,12,18,12,18,24,6,18,18,30,60,36,48,12,36,96,96,24,54,18,30,42,18,18,18,
30,30,36,60,36,36,48,36,96,36,144,144,192,144,192,144,72,72,12,12,24,8,16,12,
24,8,24,16,16,16,16,16,16,16,18,45,3,4,9,15,9,9,36,48,36,36,36,72,6,6,24,18,
18,12,12,18,30,18,18,6,18,32,48,36,12,36,12,96,6,6,12,6,18,18,24,36,12,36,48,
9,12,36,6,6,12,6,12,6,6,18,24,12,12,24,12,12,12,24,12,12,24,24,24,12,1,8,12,4,
12,4,12,8,8,24,8,24,4,4,8,16,1,12,16,18,18,6,18,18,3,12,16,6,6,6,6,12,9,3,9,
12,12,12,12,12,6,12,12,6,12,12,1,3,2,3,4,12,2,4,4,4,4,8,4,3,4,6,3,3,12,6,6,1,
3,3,1,1,1,1,2,2,4,3,1,1,1,1,1,1,1,1],[1,30,113,16,6,33,61,108,324,225,462,52,
132,16,80,80,9,69,21,45,32,18,102,114,153,90,282,96,408,144,360,52,36,84,36,
192,120,192,72,216,192,42,18,66,30,30,18,144,192,24,8,12,16,16,48,48,80,16,16,
6,4,15,9,45,141,9,180,36,270,36,4,9,36,15,48,36,36,6,6,6,12,24,12,12,18,18,24,
18,6,30,18,60,48,36,36,12,96,96,24,54,30,18,18,42,18,18,30,30,36,36,60,48,36,
96,36,36,144,144,144,192,192,144,72,72,12,12,24,8,16,12,24,8,24,16,16,16,16,
16,16,16,18,3,45,4,9,9,15,9,36,36,48,36,36,72,6,6,18,24,12,18,12,18,30,18,18,
6,18,32,48,12,36,12,36,96,6,6,12,18,6,18,24,36,36,12,48,9,12,36,6,6,12,6,12,6,
6,18,24,12,12,24,12,12,12,24,12,12,24,24,24,12,1,8,12,4,12,4,12,8,8,24,8,24,4,
4,8,16,1,12,16,18,18,18,6,18,3,12,16,6,6,6,6,12,9,3,9,12,12,12,12,12,6,12,12,
6,12,12,1,3,2,3,4,12,2,4,4,4,4,8,4,3,4,6,3,3,12,6,6,1,3,3,1,1,1,1,2,2,4,3,1,1,
1,1,1,1,1,1],[1,62,81,16,6,112,45,33,180,108,321,414,64,84,36,48,48,80,45,9,
53,33,90,18,114,153,108,270,90,360,96,360,144,64,36,132,108,132,72,72,72,72,
288,144,30,42,18,18,18,42,84,144,144,24,8,12,16,16,48,80,48,16,16,6,6,4,15,45,
9,9,135,36,180,36,270,12,6,9,16,12,12,9,36,36,36,6,12,12,24,24,18,18,24,18,18,
12,48,36,36,48,24,24,96,96,12,24,18,18,18,18,42,30,30,18,18,36,36,36,36,36,36,
36,72,48,60,60,72,96,144,144,144,144,144,24,48,48,24,12,20,16,24,20,24,24,16,
16,16,16,16,16,16,18,45,3,9,6,12,9,9,9,16,12,12,36,36,36,36,72,8,6,6,18,18,18,
18,18,24,18,12,48,12,12,36,48,36,24,96,12,12,18,24,6,18,36,36,48,12,9,24,12,
12,6,12,12,12,12,6,12,12,24,24,24,24,24,12,12,12,12,12,12,12,12,12,1,4,8,12,
12,20,12,8,24,24,4,4,8,16,1,4,6,24,18,18,18,18,3,4,24,6,6,3,3,6,6,6,9,3,9,12,
12,12,12,6,6,6,24,6,24,1,3,2,3,4,12,2,4,4,4,4,8,4,3,4,6,3,3,6,6,6,6,1,1,3,3,1,
1,1,2,2,4,3,1,1,1,1,1,1,1,1],[1,62,81,16,6,112,33,45,108,180,321,414,64,84,36,
48,48,80,9,45,33,53,18,90,114,153,108,90,270,96,360,144,360,64,36,132,132,108,
72,72,72,72,288,144,42,30,18,18,18,42,84,144,144,24,8,12,16,16,48,80,48,16,16,
6,4,6,15,9,45,135,9,180,36,270,36,6,12,9,12,16,12,9,36,36,36,6,12,12,24,24,18,
18,18,24,18,48,12,36,36,48,24,96,24,96,24,12,18,18,18,18,30,42,30,18,18,36,36,
36,36,36,36,36,48,72,60,60,96,72,144,144,144,144,144,24,48,48,24,12,20,16,24,
20,24,24,16,16,16,16,16,16,16,18,3,45,9,12,6,9,9,9,12,16,12,36,36,36,36,72,6,
8,6,18,18,18,18,18,24,18,48,12,12,12,36,48,36,96,24,12,12,18,6,24,18,36,36,12,
48,9,24,12,12,6,12,12,12,12,6,12,12,24,24,24,24,24,12,12,12,12,12,12,12,12,12,
1,4,8,12,12,20,12,8,24,24,4,4,8,16,1,4,24,6,18,18,18,18,3,4,24,6,6,3,3,6,6,6,
9,3,9,12,12,12,12,6,6,6,24,6,24,1,3,2,3,4,12,2,4,4,4,4,8,4,3,4,6,3,3,6,6,6,6,
1,1,3,3,1,1,1,2,2,4,3,1,1,1,1,1,1,1,1],[1,18,101,16,31,43,100,212,57,228,52,
96,16,80,80,13,38,3,16,8,12,60,45,12,90,48,180,8,60,16,12,12,48,120,36,96,36,
120,60,168,12,54,30,24,6,12,24,48,72,72,8,12,24,24,4,8,16,16,48,48,80,16,16,3,
1,2,1,45,6,45,7,6,6,12,18,3,18,3,2,6,3,15,30,24,18,15,21,6,12,6,30,18,36,36,
36,12,30,15,12,12,6,18,24,12,24,42,36,18,72,24,72,24,48,24,48,24,24,12,24,24,
12,24,12,12,12,24,24,24,24,8,4,8,4,8,16,8,4,8,8,16,8,16,16,16,16,8,16,16,16,3,
1,3,6,6,18,12,6,3,3,12,12,6,3,6,6,15,12,6,18,12,36,3,9,3,9,6,12,6,18,4,12,6,
18,6,3,12,6,12,6,18,3,9,24,6,6,3,12,18,24,12,18,6,6,12,12,6,6,12,6,12,12,12,6,
6,6,6,12,12,12,12,12,12,24,4,4,8,4,8,8,4,4,16,8,8,16,8,8,4,4,8,8,8,16,3,6,6,3,
1,3,6,3,6,3,3,6,4,6,6,6,6,4,3,6,3,6,3,3,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,
1,4,8,4,4,4,4,4,4,8,1,3,3,3,3,3,3,6,6,6,6,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[
1,18,101,16,43,31,212,100,57,228,52,96,16,80,80,38,13,3,8,16,60,12,45,90,12,
180,48,60,8,16,12,48,12,36,120,36,96,60,120,168,54,12,24,30,6,12,24,72,48,72,
12,8,24,24,8,4,16,16,48,48,80,16,16,3,2,1,1,6,45,45,7,6,6,18,12,3,18,2,3,6,3,
15,30,24,18,15,21,6,12,6,30,18,36,36,36,12,15,30,12,12,6,18,24,12,42,24,18,36,
24,72,24,72,24,48,48,24,24,24,12,24,24,12,12,12,12,24,24,24,24,4,8,4,8,8,8,16,
8,4,8,8,16,16,16,16,16,8,16,16,16,3,1,3,6,18,6,12,6,3,3,12,12,6,3,6,6,15,12,6,
18,12,36,3,9,3,9,6,12,6,18,4,12,6,18,6,3,12,6,12,6,18,3,9,24,6,3,6,12,18,24,
12,18,6,6,12,12,6,6,12,6,12,12,12,6,6,6,6,12,12,12,12,12,12,24,4,8,4,8,4,4,8,
4,8,16,8,8,16,8,4,4,8,8,8,16,3,6,6,3,1,3,6,3,6,3,3,6,4,6,6,6,6,4,3,6,3,6,3,3,
6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,1,8,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,6,6,6,
6,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,54,89,16,6,112,25,25,124,124,309,366,
48,76,60,16,80,80,13,13,33,33,8,8,18,18,66,69,140,90,90,96,96,176,176,48,28,
132,156,156,48,48,96,96,48,48,240,144,54,54,18,18,6,42,132,24,24,120,144,56,4,
4,4,16,16,48,48,80,16,16,1,1,7,7,3,13,13,9,9,36,36,36,36,7,7,27,27,21,12,12,
28,6,6,3,24,24,12,14,14,42,12,12,24,24,12,12,12,12,24,18,18,12,12,18,18,18,18,
6,6,12,12,24,24,24,24,12,12,12,24,24,24,24,54,54,12,12,18,18,42,42,54,54,42,6,
6,12,12,12,24,24,24,24,108,108,84,132,72,72,24,24,24,24,120,96,96,48,144,56,
168,168,168,4,4,4,20,4,4,8,8,8,8,20,4,4,8,8,8,8,16,16,16,16,8,16,16,16,3,3,7,
7,21,27,27,3,3,3,12,12,28,6,6,12,12,24,24,24,6,6,6,6,6,6,6,6,6,6,6,6,12,12,6,
6,18,18,12,12,12,12,24,24,12,12,12,24,24,12,12,12,9,9,3,3,6,6,6,6,6,6,12,12,
12,12,3,28,84,84,84,6,6,6,6,6,6,6,12,12,6,6,6,6,12,12,12,12,12,12,42,42,42,84,
56,12,12,12,24,24,12,12,12,12,24,24,24,24,24,24,24,12,12,12,12,24,24,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,4,4,4,4,4,4,20,4,4,12,12,4,4,4,4,8,8,8,8,
8,8,8,8,4,4,4,4,4,4,8,8,8,16,3,3,3,3,6,6,6,6,7,7,21,3,3,3,3,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,3,3,3,3,12,12,12,12,12,12,12,12,12,12,12,12,28,12,12,12,12,6,6,
6,12,12,12,12,24,6,6,6,12,12,12,12,24,12,12,12,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,8,1,6,6,6,6,3,3,3,3,3,3,6,6,6,6,12,12,1,1,1,1,1,1,1,4,4,4,3,1,1,
1,1,1,1,1,1],[1,49,245,8,49,49,49,56,49,1,1,5,1,1,1,1],[1,12,27,52,96,1,27,27,
54,54,12,36,156,9,27,27,108,17,32,24,12,4,36,36,27,1,3,3,48,36,12,16,9,1,3,3,
4,8,6,6,16,1,3,3,12,12,9,4,3,4,1,1],[1,42,29,112,7,7,28,28,189,84,28,64,7,7,
21,21,8,8,21,140,56,56,28,84,84,84,42,42,42,84,56,64,1,1,7,7,7,7,7,7,21,21,21,
28,14,14,42,42,42,42,42,42,42,42,84,84,84,84,56,168,168,168,7,7,21,21,21,28,
28,84,84,84,42,42,42,84,56,8,8,7,7,21,28,8,8,1,1],[1,60,15,160,80,5,30,90,90,
96,160,15,15,60,180,45,60,96,320,80,120,1,5,15,15,45,45,45,120,15,15,45,10,20,
60,64,5,6,10,6,5,1],[1,60,15,160,80,5,30,90,90,96,160,15,15,60,180,45,60,96,
320,80,120,1,5,15,15,45,45,45,120,15,15,45,10,20,60,64,5,6,10,6,5,1],[1,18,45,
64,6,45,15,180,135,270,16,45,45,90,90,135,270,360,360,48,96,240,64,6,15,45,
135,180,270,16,18,45,24,60,16,1,1,3,1,4,1,1],[1,18,45,64,6,15,45,180,135,270,
16,45,45,90,90,135,270,360,360,48,96,240,64,6,15,45,135,180,270,16,18,45,24,
60,16,1,1,3,1,4,1,1],[1,20,15,16,5,30,30,120,30,16,80,5,15,60,15,60,60,16,20,
80,16,1,15,30,15,30,48,20,16,5,15,15,1,20,16,15,1,5,1,5,1,3,1,1],[1,20,15,16,
5,30,30,120,30,16,80,5,15,60,15,60,60,16,20,80,16,1,15,30,15,30,48,20,16,5,15,
15,1,20,16,15,1,5,1,5,1,3,1,1],[1,3,84,28,57,7,7,63,63,63,21,63,1,112,189,84,
21,8,21,21,21,63,63,63,63,28,7,7,14,14,7,7,21,21,84,21,21,21,24,63,28,28,28,8,
16,8,7,7,21,21,42,42,21,21,7,7,21,21,21,21,21,7,7,28,24,8,21,21,21,8,7,7,7,7,
7,7,8,7,7,1,3,1,1],[1,62,129,10,112,69,69,300,300,485,746,80,124,180,63,63,71,
71,24,24,102,102,206,293,140,330,330,424,424,488,488,80,92,180,244,244,216,
216,248,248,168,168,400,400,106,106,66,66,42,74,164,120,120,200,400,24,24,88,
16,6,6,3,3,7,7,29,55,55,141,141,204,204,294,294,13,13,31,31,37,20,20,28,30,30,
21,92,92,84,6,6,18,18,42,6,6,26,26,52,52,20,20,44,44,40,30,30,30,30,38,38,38,
38,42,42,42,42,44,44,68,68,92,92,68,68,68,72,72,72,72,40,88,88,136,86,86,42,
42,50,50,98,98,82,82,42,42,42,84,84,84,92,92,108,108,124,124,148,164,120,120,
120,120,120,120,200,368,368,336,400,56,216,216,72,72,264,72,72,8,8,8,16,16,16,
16,18,18,47,47,13,13,37,31,31,21,21,21,20,20,28,30,30,84,84,92,92,168,14,14,
10,10,10,10,42,42,30,30,22,22,34,34,30,30,38,38,34,34,30,30,30,30,24,24,44,44,
20,20,68,68,60,60,68,68,68,88,88,72,72,6,6,26,26,20,15,15,15,15,34,34,22,22,
30,30,30,30,68,68,60,60,44,44,36,36,21,44,12,12,84,36,36,108,108,12,12,36,36,
22,22,18,18,10,22,22,22,22,44,44,22,22,22,22,36,36,20,20,20,18,18,18,18,44,44,
20,54,54,18,18,42,84,24,56,20,44,44,52,52,44,44,44,44,36,36,52,52,40,40,40,52,
52,44,44,44,44,36,36,40,40,36,36,28,28,28,28,12,12,20,12,12,20,20,36,12,12,12,
12,24,24,28,28,40,40,24,24,24,24,44,44,36,36,20,4,4,4,4,4,8,8,8,8,8,8,8,8,8,
16,1,1,2,2,6,6,5,5,15,15,12,12,22,22,34,34,30,30,30,30,30,30,9,9,3,3,21,3,3,9,
9,12,12,18,18,6,6,18,18,6,6,6,11,11,11,11,18,18,10,10,22,22,3,3,3,3,10,10,14,
14,14,14,6,6,10,10,10,10,6,6,14,14,10,10,12,12,15,15,11,11,5,9,9,21,4,4,12,12,
20,20,12,12,36,28,28,28,28,28,28,12,12,12,12,12,12,20,20,20,28,4,4,20,20,20,
20,12,12,18,18,36,36,18,18,6,6,10,10,10,10,6,6,12,12,18,18,22,22,10,2,2,18,18,
26,26,44,44,40,22,22,18,18,10,2,36,36,44,44,36,36,44,44,40,20,20,20,4,4,4,4,
36,36,36,36,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,8,
4,8,8,1,5,5,3,3,3,3,1,1,3,3,10,10,10,10,2,2,6,6,6,6,18,18,5,5,5,9,5,5,5,5,6,6,
6,6,5,5,3,3,3,3,9,9,5,11,11,3,3,3,3,6,6,6,6,6,6,1,6,6,10,10,6,6,10,10,12,12,2,
2,18,18,2,2,2,2,6,6,10,10,6,6,2,2,14,14,10,10,6,6,2,2,2,2,6,6,2,2,2,2,4,4,4,4,
4,4,20,4,4,4,4,4,4,4,4,4,20,4,4,4,4,1,1,1,1,1,5,5,3,3,3,3,3,3,3,3,3,3,3,3,1,1,
3,3,1,1,1,1,5,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,6,6,6,6,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1],[1,49,22,14,21,14,49,3,2,3,14,1,1],[1,343,22,14,21,196,98,147,3,2,3,21,
14,21,1,1],[1,49,22,14,21,7,49,49,3,2,3,1,7,1,1],[1,45,61,60,15,15,45,36,60,
60,45,45,20,20,36,15,30,45,15,15,45,36,60,60,15,15,45,10,36,15,15,10,6,6,15,
15,10,6,6,1],[1,18,117,64,48,6,15,81,396,135,270,36,216,192,288,144,99,45,72,
90,90,135,270,360,360,36,108,216,216,432,54,108,216,64,96,240,24,36,48,144,
144,6,9,15,45,135,180,270,9,54,54,54,108,108,216,216,54,108,54,108,216,216,64,
48,72,288,144,36,72,72,144,18,45,9,54,54,54,72,108,216,27,54,108,48,24,60,3,
24,36,36,72,36,72,1,27,36,27,36,48,36,48,18,9,36,72,9,12,1,3,9,9,12,3,9,1,1],[
1,18,117,64,48,6,81,15,396,135,270,36,216,192,288,144,99,45,72,90,90,135,270,
360,360,36,108,216,216,432,54,108,216,64,96,240,24,36,48,144,144,6,9,15,45,
135,180,270,9,54,54,54,108,108,216,216,54,108,54,108,216,216,64,48,72,288,144,
36,72,72,144,18,45,9,54,54,54,72,108,216,27,54,108,48,24,60,3,24,36,36,72,36,
72,1,27,36,27,36,48,36,48,18,9,36,72,9,12,1,3,9,9,12,3,9,1,1],[1,90,45,112,6,
144,15,45,180,243,270,144,108,480,144,45,63,90,90,135,108,270,360,360,144,108,
216,108,432,54,108,216,64,120,240,36,48,144,144,6,9,15,45,135,180,270,27,36,
54,54,108,108,216,216,54,54,108,108,216,216,64,72,144,336,36,72,72,144,18,45,
27,36,18,54,108,108,216,27,54,108,48,24,3,60,24,36,36,72,36,72,1,9,54,9,54,48,
12,18,72,9,36,72,9,12,1,3,9,9,12,3,9,1,1],[1,90,45,112,6,144,45,15,180,243,
270,144,108,480,144,45,63,90,90,135,108,270,360,360,144,108,108,216,432,54,
108,216,64,120,36,240,48,144,144,6,9,15,45,135,180,270,27,36,54,54,108,108,
216,216,54,54,108,108,216,216,64,144,72,336,36,72,72,144,18,45,27,36,18,54,
108,108,216,27,54,108,48,24,60,3,24,36,36,72,36,72,1,9,54,9,54,48,12,72,18,9,
36,72,9,12,1,3,9,9,12,3,9,1,1],[1,30,81,64,48,6,45,33,180,108,225,414,36,36,
16,48,192,144,45,9,45,21,90,18,114,153,270,90,360,96,360,144,36,36,36,36,72,
72,72,72,144,18,18,18,18,18,18,144,64,96,240,24,36,48,48,48,6,15,45,9,9,135,
36,180,36,270,9,9,36,36,36,18,18,18,18,36,36,18,18,18,18,18,18,18,18,36,36,36,
36,36,36,36,36,144,144,144,144,64,12,12,24,48,36,72,96,96,72,16,18,45,3,9,9,9,
9,36,36,36,36,72,6,6,18,18,18,18,18,18,36,36,18,18,36,36,9,48,24,60,3,24,36,
12,12,24,24,1,18,18,18,18,9,9,16,1,3,12,9,12,24,24,3,12,1,3,3,3,4,3,1,1,1],[1,
30,81,64,48,6,33,45,108,180,225,414,36,36,16,48,192,144,9,45,21,45,18,90,114,
153,90,270,96,360,144,360,36,36,36,36,72,72,72,72,144,18,18,18,18,18,18,144,
64,96,240,24,36,48,48,48,6,15,9,45,135,9,180,36,270,36,9,9,36,36,36,18,18,18,
18,36,36,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,144,144,144,144,64,
12,12,24,48,36,72,96,96,72,16,18,3,45,9,9,9,9,36,36,36,36,72,6,6,18,18,18,18,
18,18,36,36,18,18,36,36,9,48,24,60,3,24,36,12,12,24,24,1,18,18,18,18,9,9,16,1,
3,12,9,12,24,24,3,12,1,3,3,3,4,3,1,1,1],[1,30,81,112,6,45,33,180,108,225,414,
36,36,16,48,336,45,9,45,21,90,18,114,153,270,90,360,96,360,144,36,36,36,36,72,
72,72,72,144,18,18,18,18,18,18,144,64,120,36,240,48,48,48,6,15,45,9,9,135,36,
180,36,270,9,9,36,36,36,18,18,18,18,36,36,18,18,18,18,18,18,18,18,36,36,36,36,
36,36,36,36,144,144,144,144,64,12,12,24,48,36,96,72,168,16,18,45,3,9,9,9,9,36,
36,36,36,72,6,6,18,18,18,18,18,18,36,36,18,18,36,36,9,48,24,60,3,24,36,12,12,
24,24,1,18,18,18,18,9,9,16,1,3,12,9,12,24,24,3,12,1,3,3,3,4,3,1,1,1],[1,30,81,
112,6,33,45,108,180,225,414,36,36,16,48,336,9,45,21,45,18,90,114,153,90,270,
96,360,144,360,36,36,36,36,72,72,72,72,144,18,18,18,18,18,18,144,64,120,240,
36,48,48,48,6,15,9,45,135,9,180,36,270,36,9,9,36,36,36,18,18,18,18,36,36,18,
18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,144,144,144,144,64,12,12,24,36,
48,72,96,168,16,18,3,45,9,9,9,9,36,36,36,36,72,6,6,18,18,18,18,18,18,36,36,18,
18,36,36,9,48,24,3,60,24,36,12,12,24,24,1,18,18,18,18,9,9,16,1,3,9,12,12,24,
24,3,12,1,3,3,3,4,3,1,1,1],[1,42,45,112,6,48,15,45,180,171,270,48,36,64,240,
45,51,90,90,135,36,270,360,360,48,36,72,36,144,18,36,72,64,120,240,36,48,48,
48,6,3,15,45,135,180,270,9,12,18,18,36,36,72,72,18,18,36,36,72,72,64,48,64,60,
72,72,48,18,45,9,12,6,18,36,36,72,9,18,36,48,24,3,60,12,24,36,12,1,3,18,3,18,
16,4,24,9,6,12,3,12,1,3,3,3,4,1,3,1,1],[1,42,45,112,6,48,45,15,180,171,270,48,
36,64,240,45,51,90,90,135,36,270,360,360,48,36,36,72,144,18,36,72,64,120,36,
240,48,48,48,6,3,15,45,135,180,270,9,12,18,18,36,36,72,72,18,18,36,36,72,72,
64,48,64,60,72,72,48,18,45,9,12,6,18,36,36,72,9,18,36,48,24,60,3,12,24,36,12,
1,3,18,3,18,16,4,24,9,6,12,3,12,1,3,3,3,4,1,3,1,1],[1,18,69,64,48,6,57,15,252,
135,270,12,72,64,240,63,45,24,90,90,135,270,360,360,12,36,72,72,144,18,36,72,
64,96,240,24,36,48,48,48,6,3,15,45,135,180,270,3,18,18,18,36,36,72,72,18,36,
18,36,72,72,64,16,96,36,72,24,72,48,18,45,3,18,18,18,24,36,72,9,18,36,48,24,
60,3,24,36,12,12,1,9,12,9,12,16,12,16,9,6,12,3,12,1,3,3,3,4,1,3,1,1],[1,18,69,
64,48,6,15,57,252,135,270,12,72,64,240,63,45,24,90,90,135,270,360,360,12,36,
72,72,144,18,36,72,64,96,240,24,36,48,48,48,6,3,15,45,135,180,270,3,18,18,18,
36,36,72,72,18,36,18,36,72,72,64,16,96,36,72,24,72,48,18,45,3,18,18,18,24,36,
72,9,18,36,48,24,60,3,24,36,12,12,1,9,12,9,12,16,12,16,9,6,12,3,12,1,3,3,3,4,
1,3,1,1],[1,12,87,16,96,16,5,138,18,72,72,126,96,384,48,96,3,18,15,12,18,108,
72,126,144,9,18,90,36,18,12,36,64,4,80,20,40,48,16,32,96,48,48,96,1,1,3,3,9,9,
18,54,36,9,18,36,54,36,18,36,18,36,36,64,24,144,48,72,144,12,12,24,96,48,12,3,
3,18,18,9,9,9,9,18,18,9,18,18,16,32,1,4,5,4,4,8,12,12,12,24,12,12,24,12,12,12,
1,9,9,9,9,9,9,16,32,6,12,18,3,3,12,12,24,12,12,9,4,4,1,1,1,1,3,3,3,3,4,4,3,3,
3,3,1,1],[1,12,87,16,96,16,5,138,18,72,72,126,96,384,48,96,3,18,15,12,18,108,
72,126,144,9,18,90,36,12,18,36,64,4,80,20,40,48,16,32,96,48,48,96,1,1,3,3,9,9,
18,54,36,9,18,36,54,36,18,36,18,36,36,64,24,144,48,72,144,12,12,24,96,48,12,3,
3,18,18,9,9,9,9,18,18,9,18,18,16,32,1,4,5,4,4,8,12,12,12,24,12,12,24,12,12,12,
1,9,9,9,9,9,9,16,32,6,12,18,3,3,12,12,24,12,12,9,4,4,1,1,1,1,3,3,3,3,4,4,3,3,
3,3,1,1],[1,21,28,7,7,21,28,8,49,21,7,7,21,8,28,7,7,7,7,21,28,8,21,7,7,8,1,7,
7,1],[1,49,196,147,196,8,49,56,56,49,56,1,1,4,3,4,1,1],[1,49,196,147,196,8,49,
56,56,49,56,1,1,4,3,4,1,1],[1,20,75,10,5,75,75,50,150,31,10,50,50,25,75,75,7,
165,45,5,50,50,50,10,75,5,10,210,45,15,25,50,6,10,10,10,5,45,15,25,6,12,1,5,
10,10,10,15,6,6,6,5,5,10,6,5,5,1,1,1],[1,30,25,100,75,100,6,100,75,75,25,6,30,
30,100,25,60,30,25,1,30,25,1,6,4,1,3,3,4,1,3,3,4,1,1,1],[1,38,105,6,45,45,180,
180,285,510,80,140,60,16,15,45,35,45,30,90,130,165,150,270,160,360,240,360,60,
60,60,60,120,120,120,120,240,30,70,30,30,30,30,80,120,240,80,16,48,48,6,15,15,
45,135,15,180,60,270,60,20,15,20,15,60,60,60,20,30,30,50,30,20,60,60,20,80,80,
30,30,30,30,30,30,30,30,60,60,60,60,60,60,60,60,240,240,240,240,40,40,40,16,
32,32,48,48,18,5,45,15,15,15,15,60,60,60,60,120,10,10,30,30,30,30,30,30,60,60,
10,30,10,30,60,60,40,15,20,20,20,20,20,20,20,20,20,40,16,16,16,1,30,30,30,30,
10,5,5,10,15,15,10,10,10,20,20,20,20,1,16,5,5,5,10,10,1,3,3,5,1,3,3,2,2,1,1,1,
1],[1,38,105,6,45,45,180,180,285,510,80,140,60,16,45,15,45,35,90,30,130,165,
270,150,360,160,360,240,60,60,60,60,120,120,120,120,240,70,30,30,30,30,30,80,
120,240,80,16,48,48,6,15,45,15,15,135,60,180,60,270,20,15,20,15,60,60,60,20,
30,30,50,30,20,60,60,20,80,80,30,30,30,30,30,30,30,30,60,60,60,60,60,60,60,60,
240,240,240,240,40,40,40,16,32,32,48,48,18,45,5,15,15,15,15,60,60,60,60,120,
10,10,30,30,30,30,30,30,60,60,10,30,10,30,60,60,40,15,20,20,20,20,20,20,20,20,
20,40,16,16,16,1,30,30,30,30,10,5,5,10,15,15,10,10,10,20,20,20,20,1,16,5,5,5,
10,10,1,3,3,5,1,3,3,2,2,1,1,1,1],[1,91,112,35,238,28,84,126,224,112,64,7,8,
105,168,126,168,42,21,84,14,56,112,28,112,7,21,42,84,21,42,84,42,64,56,56,56,
56,56,28,56,56,21,28,7,21,42,7,28,56,8,21,7,7,7,7,8,8,8,7,7,1],[1,91,112,35,
28,238,84,126,224,112,64,7,8,105,168,126,168,42,21,84,14,56,28,112,112,7,21,
42,84,21,42,84,42,64,56,56,56,56,56,28,56,56,21,28,7,21,42,7,28,56,8,21,7,7,7,
7,8,8,8,7,7,1],[1,68,63,28,1,148,7,7,42,42,231,147,64,84,42,84,84,140,8,21,21,
21,147,21,21,14,14,42,42,22,21,189,63,63,42,42,42,42,294,84,21,63,63,84,84,7,
7,28,28,84,140,84,28,28,40,7,7,7,7,7,7,21,21,21,21,21,21,21,63,21,21,21,63,21,
21,21,63,63,63,63,63,63,42,42,42,42,8,7,7,21,21,14,14,21,21,14,14,28,28,28,28,
28,28,28,8,8,8,7,7,21,21,21,21,21,21,21,21,21,21,21,21,21,40,7,7,7,7,21,21,21,
21,7,7,14,14,14,14,7,7,7,7,28,8,21,8,8,8,7,7,7,7,7,7,7,7,7,7,7,7,7,7,1,8,7,7,
3,2,1,1,1,1],[1,46,45,40,15,15,135,120,90,36,120,120,40,15,15,45,45,45,45,45,
180,10,36,36,36,15,15,120,40,120,15,15,45,45,45,45,45,10,10,10,72,36,15,15,15,
15,15,15,120,45,10,20,40,36,15,15,15,15,15,15,6,6,10,20,15,15,6,6,10,6,6,1,1,
1],[1,48,135,40,1,15,15,90,90,225,315,90,90,36,120,360,120,15,15,45,45,45,30,
30,90,90,45,45,45,45,90,90,90,90,180,45,45,180,10,36,108,108,15,15,40,360,360,
15,15,45,45,45,45,45,90,90,90,90,10,30,30,36,108,108,15,15,15,15,30,30,15,15,
30,30,120,45,10,30,30,20,20,36,15,15,15,15,15,15,30,30,30,30,6,6,10,10,10,40,
15,15,6,6,12,12,10,6,6,1,1,2,1],[1,106,45,40,300,15,15,405,180,36,200,120,280,
45,45,315,45,405,135,135,135,135,10,36,36,36,15,15,120,280,360,15,15,45,135,
135,135,135,10,10,10,80,72,36,15,15,45,45,45,45,120,45,10,20,40,40,40,36,15,
15,45,45,45,45,6,6,10,20,40,15,15,12,12,6,6,10,6,6,1,1,2,1],[1,78,45,94,6,120,
15,15,135,90,120,90,6,350,30,150,30,45,45,120,90,90,180,45,90,40,6,18,18,66,
60,60,30,30,150,90,30,90,30,24,5,45,90,45,90,40,80,6,36,36,18,18,60,60,220,30,
10,30,90,30,30,30,30,24,45,30,40,6,18,18,5,5,10,30,30,30,1,6,24,30,10,10,18,
15,15,30,6,3,6,5,10,4,1,3,3,6,5,4,3,1,1],[1,54,153,64,10,48,57,93,180,540,441,
810,48,108,252,64,192,192,45,99,45,87,72,90,126,222,297,36,270,450,360,552,
360,648,48,108,108,324,108,360,216,360,216,504,144,432,162,54,126,54,54,54,
108,360,72,432,72,72,96,240,64,192,192,6,6,9,3,29,45,63,153,135,252,180,342,
270,27,27,27,12,90,27,108,108,108,18,18,18,54,108,108,54,54,18,54,18,90,18,54,
90,18,36,180,180,36,36,108,36,216,216,72,72,162,126,54,54,54,162,54,54,54,54,
108,108,108,108,108,180,108,108,108,108,72,360,360,72,432,432,432,432,216,216,
216,216,48,48,64,288,48,96,96,64,18,18,45,51,27,27,27,27,27,27,12,90,108,108,
108,108,216,6,18,18,6,18,18,90,54,18,54,18,54,90,18,54,18,54,54,18,54,72,36,
180,108,36,36,108,36,72,216,18,54,27,45,18,54,18,54,18,90,108,36,36,108,36,
108,27,36,36,108,108,36,108,54,54,54,54,108,54,54,108,54,54,108,54,54,24,108,
108,108,108,108,108,108,108,108,108,36,36,36,36,36,36,36,72,36,72,72,72,108,
108,24,60,32,48,48,48,96,96,1,1,6,18,9,45,36,18,54,18,54,18,18,54,18,54,9,9,3,
27,36,18,18,54,6,18,27,27,54,54,18,18,18,18,18,18,36,27,9,27,27,27,36,36,36,
36,36,36,36,36,54,108,54,18,18,36,54,54,54,54,108,54,54,108,108,108,108,108,
108,4,36,48,24,12,48,24,24,9,3,9,3,18,54,9,9,9,18,9,9,27,27,18,18,36,54,18,18,
18,18,1,4,12,12,24,24,1,3,3,9,9,9,9,3,1,3,4,3,1,3,3,1],[1,54,153,64,10,48,93,
57,540,180,441,810,48,108,252,64,192,192,99,45,87,45,72,126,90,222,297,36,450,
270,552,360,648,360,48,108,108,108,324,216,360,216,360,504,144,432,54,162,54,
126,54,54,108,360,72,432,72,72,96,240,64,192,192,6,6,9,3,29,63,45,135,153,180,
252,270,342,27,27,27,12,90,27,108,108,108,18,18,18,54,108,108,54,18,54,18,54,
90,54,18,18,90,36,180,36,180,108,36,36,216,216,72,72,162,126,54,54,162,54,54,
54,54,54,108,108,108,108,108,108,180,108,108,108,72,360,360,72,432,432,432,
432,216,216,216,216,48,48,64,288,48,96,96,64,18,18,51,45,27,27,27,27,27,27,12,
90,108,108,108,108,216,18,6,6,18,18,90,18,18,54,54,54,18,90,54,18,54,18,54,54,
18,72,36,180,36,108,36,36,108,72,216,18,54,27,45,54,18,18,18,54,90,36,108,108,
36,36,108,27,36,36,108,108,36,108,54,54,54,54,108,54,54,108,54,54,108,54,54,
24,108,108,108,108,108,108,108,108,108,108,36,36,36,36,36,36,36,72,36,72,72,
72,108,108,24,60,32,48,48,48,96,96,1,1,6,18,9,45,36,18,18,54,18,54,54,18,54,
18,9,9,3,27,36,18,18,54,6,18,27,27,54,54,18,18,18,18,18,18,36,9,27,27,27,27,
36,36,36,36,36,36,36,36,54,108,54,18,18,36,54,54,54,54,108,54,54,108,108,108,
108,108,108,4,36,48,24,12,48,24,24,3,9,9,3,18,54,9,9,9,18,9,9,27,27,18,18,36,
54,18,18,18,18,1,4,12,12,24,24,1,3,3,9,9,9,9,3,1,3,4,3,1,3,3,1],[1,102,105,64,
6,304,33,57,156,252,621,558,144,156,108,192,64,192,21,63,57,99,24,24,18,90,
114,189,396,90,270,96,360,240,504,144,84,324,396,324,144,72,144,216,144,72,
720,288,162,126,54,18,18,126,324,72,72,360,288,24,168,96,240,64,192,192,6,3,3,
21,19,15,21,63,135,9,180,36,270,36,21,21,63,81,63,36,36,84,18,18,9,72,36,36,6,
42,42,126,6,18,36,72,36,36,36,36,36,72,54,18,18,36,18,18,54,18,54,18,18,108,
36,36,72,72,36,36,36,108,72,72,72,216,72,216,162,126,36,18,18,54,126,126,126,
162,126,18,18,36,36,36,72,36,72,36,252,324,252,324,216,216,72,72,72,72,360,
288,144,144,288,168,504,504,72,504,72,16,144,192,96,48,96,96,64,18,3,45,21,21,
63,81,63,9,9,9,36,36,84,18,18,36,36,72,36,72,6,18,6,6,18,18,18,18,18,18,18,18,
18,18,18,36,18,18,54,18,18,24,108,36,36,36,72,36,36,108,36,36,216,72,72,6,18,
36,36,27,9,9,9,18,18,18,54,18,18,18,36,36,36,36,108,36,9,84,12,252,36,252,252,
12,36,18,18,18,18,18,18,18,18,36,36,18,18,18,18,36,36,36,36,18,18,36,36,36,
126,126,18,126,252,168,36,36,36,72,36,36,36,36,36,36,72,36,72,72,72,72,36,36,
36,36,36,36,72,72,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,36,36,36,36,24,
60,16,48,48,96,96,1,2,6,9,3,9,9,12,54,18,18,18,18,18,18,21,21,3,63,9,9,12,54,
6,18,6,9,9,9,9,18,18,18,18,18,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,9,9,
9,9,9,9,12,36,36,36,36,36,36,36,36,36,36,36,36,36,84,12,36,36,36,36,36,18,36,
18,18,18,18,18,18,18,18,18,18,36,18,36,36,72,18,18,18,18,36,36,36,36,36,36,72,
36,36,36,36,36,12,12,16,72,12,16,24,24,3,3,3,9,3,9,18,18,18,18,6,18,6,18,9,9,
9,9,9,18,9,9,9,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,1,
8,12,12,12,24,24,1,9,9,9,9,9,9,18,18,1,3,3,12,3,1,3,3,1],[1,102,105,64,6,304,
57,33,252,156,621,558,144,156,108,192,64,192,63,21,99,57,24,24,90,18,114,189,
396,270,90,360,96,504,240,144,84,324,324,396,72,144,216,144,72,144,720,288,
126,162,18,54,18,126,324,72,72,360,288,24,168,96,240,64,192,192,6,3,3,19,21,
15,63,21,9,135,36,180,36,270,21,21,81,63,63,36,36,84,18,18,9,36,72,36,6,42,42,
126,6,36,18,36,72,36,36,36,36,72,18,54,18,18,36,54,18,54,18,18,18,36,108,72,
36,36,72,36,36,108,72,72,72,72,216,216,126,162,18,36,54,18,126,126,162,126,
126,18,18,36,36,36,36,72,36,72,324,252,252,324,216,216,72,72,72,72,360,144,
288,144,288,168,504,504,72,504,72,16,144,192,96,48,96,96,64,18,45,3,21,21,63,
63,81,9,9,9,36,36,84,18,18,36,36,36,72,72,18,6,6,18,6,18,18,18,18,18,18,18,18,
18,36,18,18,18,18,54,18,24,36,108,36,36,36,72,36,108,36,36,72,216,72,6,36,18,
36,9,27,9,9,18,18,54,18,18,18,18,36,36,36,108,36,36,9,84,12,252,36,252,252,12,
36,18,18,18,18,18,18,18,18,36,36,18,18,18,18,36,36,36,36,18,18,36,36,36,126,
126,18,126,252,168,36,36,36,36,72,36,36,36,36,36,36,72,72,72,72,36,72,36,36,
36,36,36,72,72,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,36,36,36,36,24,60,
16,48,48,96,96,1,2,6,3,9,9,9,12,18,54,18,18,18,18,18,21,21,3,63,9,9,12,54,6,
18,6,9,9,9,9,18,18,18,18,18,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,9,9,9,
9,9,9,12,36,36,36,36,36,36,36,36,36,36,36,36,36,84,12,36,36,36,36,36,18,36,18,
18,18,18,18,18,18,18,18,18,18,36,36,36,72,18,18,18,18,36,36,36,36,36,36,72,36,
36,36,36,36,12,12,16,72,12,16,24,24,3,3,3,9,3,9,18,18,18,18,6,18,6,18,9,9,9,9,
9,18,9,9,9,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,1,8,
12,12,12,24,24,1,9,9,9,9,9,9,18,18,1,3,3,12,3,1,3,3,1],[1,54,153,64,18,16,141,
81,588,180,513,1026,48,108,252,64,192,192,147,45,135,45,24,270,90,342,513,12,
810,270,1080,360,1080,360,48,108,108,108,180,216,360,216,360,360,144,432,54,
90,54,126,54,54,36,216,72,432,24,24,16,32,48,48,64,192,192,18,6,3,1,57,135,45,
135,405,180,540,270,810,9,9,27,12,54,27,108,108,108,6,6,6,18,36,36,18,54,54,
54,54,54,54,54,54,90,36,108,108,180,108,108,36,216,216,72,72,54,90,54,54,90,
54,54,54,54,54,108,108,108,108,108,108,180,36,108,36,72,216,216,72,432,432,
432,432,72,72,72,72,16,48,48,48,48,48,96,96,48,48,48,96,96,96,64,96,96,54,18,
135,45,9,27,9,27,27,27,12,54,108,108,108,108,216,18,18,18,18,6,90,54,54,54,18,
54,54,54,54,54,54,54,18,54,54,72,36,108,108,108,36,108,108,72,216,6,18,9,27,
54,54,18,54,54,54,108,108,108,108,36,108,27,12,12,36,36,12,36,18,18,18,18,36,
18,18,36,18,18,36,18,18,72,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
72,36,72,72,72,36,36,4,16,32,48,48,48,48,48,48,48,48,96,96,96,96,96,96,3,1,2,
6,3,27,36,18,54,54,54,54,54,54,54,54,3,3,3,27,36,18,6,18,18,6,9,9,18,18,18,18,
18,18,18,18,36,27,27,9,9,27,36,36,36,36,36,36,36,36,18,36,18,18,18,36,18,18,
18,18,36,18,18,36,36,36,36,36,36,4,12,12,12,12,16,48,48,9,9,9,3,6,18,27,9,9,
18,9,9,9,9,18,18,36,18,18,18,18,18,4,8,24,12,12,12,12,12,12,12,12,24,3,1,3,9,
9,9,9,4,12,12,3,1,1],[1,54,153,64,18,16,81,141,180,588,513,1026,48,108,252,64,
192,192,45,147,45,135,24,90,270,342,513,12,270,810,360,1080,360,1080,48,108,
108,180,108,360,216,360,216,360,144,432,90,54,126,54,54,54,36,216,72,432,24,
24,16,32,48,48,64,192,192,6,18,3,1,57,45,135,405,135,540,180,810,270,9,9,27,
12,54,27,108,108,108,6,6,6,18,36,36,18,54,54,54,54,54,54,54,90,54,36,108,180,
108,108,108,36,216,216,72,72,54,90,54,54,54,90,54,54,54,54,108,108,108,108,
108,180,108,36,108,36,72,216,216,72,432,432,432,432,72,72,72,72,16,48,48,48,
48,48,96,96,48,48,48,96,96,96,64,96,96,18,54,45,135,9,27,9,27,27,27,12,54,108,
108,108,108,216,18,18,18,18,6,54,90,54,54,18,54,54,54,54,54,54,54,18,54,54,72,
36,108,108,108,36,108,108,72,216,6,18,9,27,54,54,18,54,54,54,108,108,108,108,
36,108,27,12,12,36,36,12,36,18,18,18,18,36,18,18,36,18,18,36,18,18,72,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,36,72,72,72,36,36,4,16,32,48,
48,48,48,48,48,48,48,96,96,96,96,96,96,1,3,2,6,3,27,36,18,54,54,54,54,54,54,
54,54,3,3,3,27,36,18,6,18,18,6,9,9,18,18,18,18,18,18,18,18,36,27,27,9,9,27,36,
36,36,36,36,36,36,36,18,36,18,18,18,36,18,18,18,18,36,18,18,36,36,36,36,36,36,
4,12,12,12,12,16,48,48,9,9,9,3,6,18,27,9,9,18,9,9,9,9,18,18,36,18,18,18,18,18,
4,8,24,12,12,12,12,12,12,12,12,24,3,1,3,9,9,9,9,4,12,12,3,1,1],[1,70,105,64,6,
144,21,69,36,372,285,366,112,108,204,128,128,64,3,81,19,57,48,6,102,98,141,
132,30,282,32,408,48,360,96,36,132,228,108,192,72,288,24,312,480,96,78,18,78,
42,18,30,108,48,192,216,96,24,24,96,240,64,64,64,6,6,6,6,15,3,45,141,3,180,12,
270,12,6,6,18,3,16,24,12,12,48,9,24,12,12,6,6,6,6,12,12,12,24,24,48,48,12,6,6,
36,36,6,42,42,18,72,24,84,72,12,36,12,84,24,144,24,144,48,168,24,144,72,12,78,
42,6,6,42,18,42,30,18,18,12,12,36,24,12,96,12,48,96,36,84,168,72,192,192,192,
48,96,96,48,24,48,48,72,24,72,32,96,128,192,16,32,32,64,18,1,45,6,3,18,6,3,9,
3,12,24,12,48,12,24,12,12,24,2,12,2,12,6,36,12,6,12,6,42,6,18,42,6,48,84,12,
24,12,72,12,12,72,12,12,144,24,144,6,6,12,18,18,6,6,6,12,36,6,36,12,12,12,12,
72,72,12,3,12,24,36,12,12,6,6,6,12,12,12,6,12,24,12,24,6,6,12,18,6,12,12,24,
12,24,12,24,12,24,48,24,12,12,24,24,24,12,24,24,12,12,24,12,12,12,24,12,12,12,
12,12,24,12,48,24,24,24,12,12,24,60,16,16,32,32,16,1,6,18,24,36,6,6,6,6,6,6,3,
3,1,6,3,18,24,36,6,6,12,6,6,3,6,3,6,6,6,6,6,12,6,6,6,6,6,12,3,3,3,3,12,24,12,
12,12,12,24,12,12,12,12,12,24,6,6,6,6,12,6,6,12,12,24,6,6,12,12,24,12,12,24,
12,12,24,8,24,32,48,4,8,8,16,1,6,6,6,6,6,6,3,3,3,3,3,3,6,6,6,6,6,6,12,6,6,6,6,
6,6,12,1,4,4,4,8,8,1,3,3,3,3,3,3,2,2,1,4,3,1,1,1,1],[1,70,105,64,6,144,69,21,
372,36,285,366,112,108,204,128,128,64,81,3,57,19,48,102,6,98,141,132,282,30,
408,32,360,48,96,36,132,108,228,72,192,24,288,312,480,96,18,78,42,78,18,30,
108,192,48,216,96,24,24,96,240,64,64,64,6,6,6,6,15,45,3,3,141,12,180,12,270,6,
18,6,3,24,16,12,48,12,9,12,24,12,6,6,6,6,12,12,12,24,24,48,48,6,12,6,36,36,42,
6,18,42,24,72,84,12,72,12,36,84,144,24,144,24,48,24,168,144,12,72,78,6,42,42,
6,42,18,30,18,18,12,36,12,12,24,12,96,96,48,36,84,72,168,192,192,192,96,48,96,
48,24,48,48,72,24,72,32,96,128,192,16,32,32,64,18,45,1,6,3,6,18,9,3,3,24,12,
12,48,24,12,12,12,24,12,2,2,12,36,6,6,12,12,6,42,6,18,42,6,48,12,84,12,24,72,
12,12,72,12,12,24,144,144,6,6,12,18,6,18,6,6,36,12,6,36,12,12,12,72,12,12,72,
3,12,24,36,12,12,6,6,6,12,12,6,12,12,24,24,12,6,6,12,18,6,12,12,24,12,12,24,
24,12,48,24,24,12,12,24,24,24,12,24,12,24,24,12,12,12,12,12,24,12,12,12,12,24,
12,48,24,24,24,12,12,24,60,16,16,32,32,16,1,6,18,24,6,36,6,6,6,6,6,3,3,6,1,18,
3,24,36,6,6,6,12,6,3,3,6,6,6,6,6,6,12,6,6,6,6,6,12,3,3,3,3,12,24,12,12,12,12,
24,12,12,12,12,12,24,6,6,6,6,12,6,6,12,12,24,6,6,12,12,24,12,12,24,12,12,24,8,
24,32,48,4,8,8,16,1,6,6,6,6,6,6,3,3,3,3,3,3,6,6,6,6,6,6,12,6,6,6,6,6,6,12,1,4,
4,4,8,8,1,3,3,3,3,3,3,2,2,1,4,3,1,1,1,1],[1,30,129,64,6,16,33,69,156,372,225,
462,48,108,180,128,192,21,81,21,45,48,24,18,102,114,153,12,90,282,96,408,144,
360,60,36,108,108,240,120,240,72,312,72,96,288,54,78,90,30,30,18,84,72,192,72,
192,24,24,24,48,96,240,64,64,64,6,3,6,1,15,9,45,141,9,180,36,270,36,6,9,21,9,
12,18,48,15,48,36,36,6,6,6,6,6,18,6,12,60,24,36,24,12,30,12,18,42,18,36,30,6,
42,18,12,60,84,72,36,36,12,12,144,144,24,24,48,48,36,54,78,18,30,18,54,54,18,
18,30,30,36,36,60,48,60,120,36,36,36,36,24,192,72,192,72,144,192,192,144,72,
72,72,72,72,72,24,24,24,48,48,48,48,32,192,48,96,96,64,18,3,45,6,9,9,9,9,15,9,
18,48,36,48,36,36,72,6,6,6,18,36,12,18,12,30,30,42,18,18,18,6,18,18,48,12,12,
72,36,12,36,12,36,144,6,6,18,6,15,18,9,18,6,6,18,18,36,36,36,12,24,72,9,12,12,
12,36,36,36,12,36,18,6,18,30,30,6,36,12,18,18,6,12,36,12,12,18,6,18,6,36,18,
18,18,24,36,60,12,36,36,12,36,24,12,36,24,36,12,36,12,36,24,36,12,12,12,12,12,
12,36,12,24,12,12,24,24,24,36,12,36,12,12,12,12,12,24,24,24,24,24,24,24,24,24,
48,24,60,16,16,32,16,32,1,2,6,3,18,9,24,18,18,18,6,18,3,3,3,18,24,6,6,18,6,15,
9,6,18,6,18,6,9,3,6,6,6,6,6,6,12,9,9,9,3,9,12,12,12,12,12,12,12,12,12,12,12,
12,18,36,18,6,6,12,18,6,18,6,6,18,12,18,12,36,18,18,6,6,12,36,36,36,12,36,12,
12,12,12,36,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,
32,12,24,24,16,3,6,3,3,6,6,18,6,3,3,9,3,9,3,3,6,3,6,6,12,6,6,18,6,6,6,6,6,6,6,
6,6,6,12,12,12,12,12,12,12,12,12,1,8,4,12,4,8,8,1,3,3,3,3,3,3,6,6,6,6,2,3,4,8,
3,1,1,1,1],[1,30,129,64,6,16,69,33,372,156,225,462,48,108,180,128,192,81,21,
45,21,24,48,102,18,114,153,12,282,90,408,96,360,144,60,36,108,108,120,240,72,
240,72,312,96,288,78,54,30,90,30,18,84,192,72,72,192,24,24,24,48,96,240,64,64,
64,6,6,3,1,15,45,9,9,141,36,180,36,270,9,6,21,9,12,48,18,15,36,48,36,6,6,6,6,
6,6,18,60,12,36,24,24,30,12,18,12,42,36,18,6,30,18,42,12,84,60,36,72,12,36,12,
144,144,24,48,24,48,54,36,18,78,18,30,54,54,18,18,30,30,36,60,36,60,48,36,120,
36,36,36,24,72,192,72,192,192,144,192,144,72,72,72,72,72,72,24,24,24,48,48,48,
48,32,192,48,96,96,64,18,45,3,9,6,9,9,15,9,9,48,18,48,36,36,36,72,6,6,6,36,18,
18,12,30,12,30,18,42,18,18,18,6,18,48,12,12,36,72,36,12,36,12,144,6,6,6,18,15,
9,18,6,18,6,18,36,18,36,12,36,24,72,9,12,12,12,36,36,36,12,36,18,18,6,30,6,30,
12,36,18,6,18,36,12,12,12,6,18,6,18,36,18,18,18,36,24,60,36,12,12,36,24,36,36,
12,24,36,36,12,36,12,36,24,12,12,12,12,12,12,36,12,24,12,12,24,24,24,36,36,12,
12,12,12,12,12,24,24,24,24,24,24,24,24,24,48,24,60,16,16,32,16,32,1,2,6,3,9,
18,24,18,18,6,18,18,3,3,3,18,24,6,6,18,6,15,9,18,6,6,6,18,9,3,6,6,6,6,6,6,12,
9,9,3,9,9,12,12,12,12,12,12,12,12,12,12,12,12,18,36,18,6,6,12,6,18,18,6,6,12,
18,18,36,12,18,6,18,6,36,12,36,12,36,36,12,12,12,12,36,36,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,32,12,24,24,16,3,6,3,3,6,6,18,6,
3,3,3,9,9,3,3,6,3,6,6,12,6,6,18,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,
12,1,8,4,12,4,8,8,1,3,3,3,3,3,3,6,6,6,6,2,3,4,8,3,1,1,1,1],[1,38,105,64,10,16,
69,57,300,180,321,618,16,60,108,320,63,45,59,45,24,102,90,190,273,12,330,270,
424,360,456,360,16,60,60,60,132,120,168,120,168,168,48,240,30,66,30,54,30,30,
36,120,24,240,24,24,96,240,64,64,64,6,6,3,1,29,51,45,135,141,180,204,270,294,
9,9,15,4,30,15,60,60,60,6,6,6,18,36,36,18,18,30,18,30,30,30,18,18,42,12,60,36,
84,60,36,12,72,72,24,24,54,42,30,30,66,30,30,30,30,30,60,60,60,60,60,60,84,36,
60,36,24,120,120,24,240,240,240,240,72,72,72,72,80,160,160,64,18,18,47,45,9,
15,9,15,15,15,4,30,60,60,60,60,120,10,6,6,10,6,42,18,18,30,18,30,18,30,30,18,
30,18,18,30,18,24,12,60,36,60,12,36,60,24,72,6,18,9,15,30,18,6,18,30,30,36,60,
60,36,12,36,15,12,12,36,36,12,36,18,18,18,18,36,18,18,36,18,18,36,18,18,24,36,
36,36,36,36,36,36,36,36,36,12,12,12,12,12,12,12,24,12,24,24,24,36,36,24,60,16,
32,48,16,1,1,2,6,3,15,12,6,18,30,18,30,30,18,30,18,3,3,1,9,12,6,6,18,6,6,9,9,
18,18,6,6,6,6,6,6,12,9,15,9,9,15,12,12,12,12,12,12,12,12,18,36,18,6,6,12,18,
18,18,18,36,18,18,36,36,36,36,36,36,20,40,40,16,3,5,3,1,6,18,9,3,3,6,3,3,9,9,
6,6,12,18,6,6,6,6,1,4,8,12,4,1,1,1,3,3,3,3,5,4,1,1,1,1,1],[1,38,105,64,10,16,
57,69,180,300,321,618,16,60,108,320,45,63,45,59,24,90,102,190,273,12,270,330,
360,424,360,456,16,60,60,132,60,168,120,168,120,168,48,240,66,30,54,30,30,30,
36,120,24,240,24,24,96,240,64,64,64,6,6,3,1,29,45,51,141,135,204,180,294,270,
9,9,15,4,30,15,60,60,60,6,6,6,18,36,36,18,30,18,30,18,30,18,30,42,18,12,60,84,
36,36,60,12,72,72,24,24,54,42,30,30,30,66,30,30,30,30,60,60,60,60,60,84,60,36,
60,36,24,120,120,24,240,240,240,240,72,72,72,72,80,160,160,64,18,18,45,47,9,
15,9,15,15,15,4,30,60,60,60,60,120,6,10,10,6,6,18,42,30,18,18,18,30,30,18,30,
18,30,18,18,30,24,12,60,60,36,12,60,36,24,72,6,18,9,15,18,30,6,30,18,30,60,36,
36,60,12,36,15,12,12,36,36,12,36,18,18,18,18,36,18,18,36,18,18,36,18,18,24,36,
36,36,36,36,36,36,36,36,36,12,12,12,12,12,12,12,24,12,24,24,24,36,36,24,60,16,
32,48,16,1,1,2,6,3,15,12,6,30,18,30,18,18,30,18,30,3,3,1,9,12,6,6,18,6,6,9,9,
18,18,6,6,6,6,6,6,12,15,9,9,9,15,12,12,12,12,12,12,12,12,18,36,18,6,6,12,18,
18,18,18,36,18,18,36,36,36,36,36,36,20,40,40,16,5,3,3,1,6,18,9,3,3,6,3,3,9,9,
6,6,12,18,6,6,6,6,1,4,8,12,4,1,1,1,3,3,3,3,5,4,1,1,1,1,1],[1,46,81,64,6,48,57,
21,252,36,249,366,112,108,132,64,64,64,63,3,63,7,24,90,6,98,153,36,270,30,360,
32,408,48,48,36,60,60,156,24,96,72,96,144,144,96,42,66,30,42,6,18,108,72,48,
264,192,24,48,96,240,64,64,64,6,3,3,15,51,3,3,135,12,180,12,270,9,15,12,9,36,
16,18,12,3,36,24,12,6,12,24,24,24,24,24,12,12,18,6,6,12,30,12,18,18,18,18,24,
60,48,36,48,12,12,60,72,24,72,24,48,72,120,66,36,18,6,54,18,30,18,6,6,12,12,
12,12,24,12,48,60,36,60,72,72,72,72,48,96,48,96,72,72,24,24,24,16,48,64,96,16,
32,32,64,18,45,1,9,9,15,3,3,3,12,18,12,12,12,24,24,6,2,2,6,18,6,6,6,6,6,18,12,
6,6,6,18,6,24,36,48,12,36,12,12,72,72,12,6,9,6,9,6,18,30,12,6,18,12,12,12,36,
24,12,36,3,12,36,12,6,12,6,6,12,6,6,12,18,12,24,12,12,24,24,24,12,24,12,48,12,
36,12,12,24,12,12,24,12,12,12,36,24,24,24,12,12,12,12,12,12,24,24,60,16,32,16,
16,32,1,3,9,12,18,6,6,6,6,6,3,3,1,9,3,12,18,6,3,3,6,3,3,12,18,6,6,6,6,6,12,6,
12,3,3,6,6,3,12,12,12,12,6,6,6,6,6,6,6,6,6,12,12,6,6,12,12,24,12,12,12,12,12,
12,12,12,4,12,16,24,4,8,8,16,1,3,3,6,3,3,3,3,3,3,3,6,6,3,6,6,6,6,6,6,6,6,6,6,
6,1,4,4,4,8,8,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,46,81,64,6,48,21,57,36,252,
249,366,112,108,132,64,64,64,3,63,7,63,24,6,90,98,153,36,30,270,32,360,48,408,
48,36,60,156,60,96,24,96,72,144,144,96,66,42,42,30,6,18,108,48,72,264,192,24,
48,96,240,64,64,64,6,3,3,15,3,51,135,3,180,12,270,12,9,12,15,9,16,36,12,18,3,
24,36,12,6,24,12,24,24,24,24,12,18,12,6,12,6,12,30,18,18,18,18,60,24,48,48,36,
12,12,60,24,72,24,72,72,48,120,66,36,6,18,18,54,18,30,6,6,12,12,12,24,12,48,
12,60,36,60,72,72,72,72,96,48,48,96,72,72,24,24,24,16,48,64,96,16,32,32,64,18,
1,45,9,9,15,3,3,3,12,18,12,12,24,12,24,2,6,2,6,6,18,6,6,6,6,18,6,12,6,6,18,6,
24,36,48,12,36,12,12,72,72,12,9,6,9,6,18,6,12,30,6,18,12,12,12,24,36,36,12,3,
12,36,6,12,12,6,6,12,6,6,12,18,12,24,12,12,24,24,24,12,12,24,48,36,12,12,24,
12,12,12,24,12,12,12,36,24,24,24,12,12,12,12,12,12,24,24,60,16,32,16,16,32,1,
3,9,12,18,6,6,6,6,6,3,1,3,3,9,12,6,18,3,3,6,3,3,12,18,6,6,6,6,6,6,12,12,3,6,3,
6,3,12,12,12,12,6,6,6,6,6,6,6,6,6,12,12,6,6,12,12,24,12,12,12,12,12,12,12,12,
4,12,16,24,4,8,8,16,1,3,3,6,3,3,3,3,3,3,3,6,6,3,6,6,6,6,6,6,6,6,6,6,6,1,4,4,4,
8,8,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,78,81,64,10,144,57,57,180,180,381,522,
144,156,36,128,192,45,45,57,57,90,90,174,261,132,270,270,360,360,360,360,144,
36,204,228,228,72,72,72,72,528,144,54,54,18,18,18,42,156,264,144,24,48,96,240,
64,64,64,6,6,6,6,29,45,45,135,135,180,180,270,270,18,18,9,24,24,12,9,36,36,36,
6,12,12,24,36,36,18,18,18,18,54,54,18,18,72,72,36,36,36,36,132,24,144,144,264,
36,36,18,18,18,18,54,54,30,18,18,36,36,36,36,36,36,36,96,96,60,132,144,144,
264,144,144,144,144,24,48,48,24,24,24,24,96,128,48,96,96,64,18,18,45,45,9,18,
18,9,9,9,24,24,12,36,36,36,36,72,18,18,6,6,18,18,18,18,18,18,18,18,18,18,36,
36,18,18,72,72,12,12,36,36,132,36,36,144,144,12,18,18,18,18,36,36,18,18,36,36,
36,36,72,72,9,24,12,12,6,12,12,12,12,6,12,24,12,24,24,24,24,24,12,12,12,12,12,
12,24,24,24,12,12,12,12,12,12,12,12,12,12,24,24,60,32,48,16,32,16,32,1,1,6,6,
36,36,18,18,18,18,18,18,18,18,3,6,6,36,36,6,6,6,3,3,3,3,6,6,6,6,6,6,9,9,3,9,
12,12,12,12,12,12,24,6,6,6,6,6,6,6,24,6,6,24,12,12,12,12,12,12,12,12,24,24,8,
48,12,24,24,16,32,3,3,6,6,9,6,6,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,12,1,4,4,4,8,
8,1,3,3,3,3,3,3,2,3,4,3,1,1,1,1],[1,78,81,64,10,144,57,57,180,180,381,522,144,
156,36,128,192,45,45,57,57,90,90,174,261,132,270,270,360,360,360,360,144,36,
204,228,228,72,72,72,72,528,144,54,54,18,18,18,42,156,264,144,24,48,96,240,64,
64,64,6,6,6,6,29,45,45,135,135,180,180,270,270,18,18,9,24,24,12,9,36,36,36,6,
12,12,24,36,36,18,18,18,18,54,54,18,18,72,72,36,36,36,36,132,24,144,144,264,
36,36,18,18,18,18,54,54,30,18,18,36,36,36,36,36,36,36,96,96,60,132,144,144,
264,144,144,144,144,24,48,48,24,24,24,24,96,128,48,96,96,64,18,18,45,45,9,18,
18,9,9,9,24,24,12,36,36,36,36,72,18,18,6,6,18,18,18,18,18,18,18,18,18,18,36,
36,18,18,72,72,12,12,36,36,132,36,36,144,144,12,18,18,18,18,36,36,18,18,36,36,
36,36,72,72,9,24,12,12,6,12,12,12,12,6,12,24,12,24,24,24,24,24,12,12,12,12,12,
12,24,24,24,12,12,12,12,12,12,12,12,12,12,24,24,60,32,48,16,32,16,32,1,1,6,6,
36,36,18,18,18,18,18,18,18,18,3,6,6,36,36,6,6,6,3,3,3,3,6,6,6,6,6,6,9,9,3,9,
12,12,12,12,12,12,24,6,6,6,6,6,6,6,24,6,6,24,12,12,12,12,12,12,12,12,24,24,8,
48,12,24,24,16,32,3,3,6,6,9,6,6,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,12,1,4,4,4,8,
8,1,3,3,3,3,3,3,2,3,4,3,1,1,1,1],[1,30,129,64,6,16,69,33,372,156,225,462,48,
108,180,128,192,81,21,45,21,24,48,102,18,114,153,12,282,90,408,96,360,144,60,
36,108,108,120,240,72,240,72,312,96,288,78,54,30,90,30,18,84,192,72,72,192,24,
24,24,48,16,32,48,48,64,64,64,6,6,3,1,15,45,9,9,141,36,180,36,270,9,6,21,9,12,
48,18,15,36,48,36,6,6,6,6,6,6,18,60,12,36,24,24,30,12,18,12,42,36,18,6,30,18,
42,12,84,60,36,72,12,36,12,144,144,24,48,24,48,54,36,18,78,18,30,54,54,18,18,
30,30,36,60,36,60,48,36,120,36,36,36,24,72,192,72,192,192,144,192,144,72,72,
72,72,72,72,24,24,24,48,48,48,48,32,32,32,64,48,48,48,96,96,96,64,96,96,18,45,
3,9,6,9,9,15,9,9,48,18,48,36,36,36,72,6,6,6,36,18,18,12,30,12,30,18,42,18,18,
18,6,18,48,12,12,36,72,36,12,36,12,144,6,6,6,18,15,9,18,6,18,6,18,36,18,36,12,
36,24,72,9,12,12,12,36,36,36,12,36,18,18,6,30,6,30,12,36,18,6,18,36,12,12,12,
6,18,6,18,36,18,18,18,36,24,60,36,12,12,36,24,36,36,12,24,36,36,12,36,12,36,
24,12,12,12,12,12,12,36,12,24,12,12,24,24,24,36,36,12,12,12,12,12,12,24,24,24,
24,24,24,24,24,24,48,4,16,32,48,48,16,16,16,32,16,16,16,32,32,96,96,32,1,2,6,
3,9,18,24,18,18,6,18,18,3,3,3,18,24,6,6,18,6,15,9,18,6,6,6,18,9,3,6,6,6,6,6,6,
12,9,9,3,9,9,12,12,12,12,12,12,12,12,12,12,12,12,18,36,18,6,6,12,6,18,18,6,6,
12,18,18,36,12,18,6,18,6,36,12,36,12,36,36,12,12,12,12,36,36,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,8,12,12,12,16,16,16,32,32,3,6,3,
3,6,6,18,6,3,3,3,9,9,3,3,6,3,6,6,12,6,6,18,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,
12,12,12,12,4,8,24,4,4,4,4,4,12,12,4,24,1,3,3,3,3,3,3,6,6,6,6,4,4,4,8,8,3,1,
1],[1,30,129,64,6,16,33,69,156,372,225,462,48,108,180,128,192,21,81,21,45,48,
24,18,102,114,153,12,90,282,96,408,144,360,60,36,108,108,240,120,240,72,312,
72,96,288,54,78,90,30,30,18,84,72,192,72,192,24,24,24,48,16,32,48,48,64,64,64,
6,3,6,1,15,9,45,141,9,180,36,270,36,6,9,21,9,12,18,48,15,48,36,36,6,6,6,6,6,
18,6,12,60,24,36,24,12,30,12,18,42,18,36,30,6,42,18,12,60,84,72,36,36,12,12,
144,144,24,24,48,48,36,54,78,18,30,18,54,54,18,18,30,30,36,36,60,48,60,120,36,
36,36,36,24,192,72,192,72,144,192,192,144,72,72,72,72,72,72,24,24,24,48,48,48,
48,32,32,32,64,48,48,48,96,96,96,64,96,96,18,3,45,6,9,9,9,9,15,9,18,48,36,48,
36,36,72,6,6,6,18,36,12,18,12,30,30,42,18,18,18,6,18,18,48,12,12,72,36,12,36,
12,36,144,6,6,18,6,15,18,9,18,6,6,18,18,36,36,36,12,24,72,9,12,12,12,36,36,36,
12,36,18,6,18,30,30,6,36,12,18,18,6,12,36,12,12,18,6,18,6,36,18,18,18,24,36,
60,12,36,36,12,36,24,12,36,24,36,12,36,12,36,24,36,12,12,12,12,12,12,36,12,24,
12,12,24,24,24,36,12,36,12,12,12,12,12,24,24,24,24,24,24,24,24,24,48,4,16,32,
48,48,16,16,16,32,16,16,16,32,32,96,96,32,1,2,6,3,18,9,24,18,18,18,6,18,3,3,3,
18,24,6,6,18,6,15,9,6,18,6,18,6,9,3,6,6,6,6,6,6,12,9,9,9,3,9,12,12,12,12,12,
12,12,12,12,12,12,12,18,36,18,6,6,12,18,6,18,6,6,18,12,18,12,36,18,18,6,6,12,
36,36,36,12,36,12,12,12,12,36,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,8,12,12,12,16,16,16,32,32,3,6,3,3,6,6,18,6,3,3,9,3,9,3,3,6,3,6,
6,12,6,6,18,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,4,8,24,4,4,4,4,4,
12,12,4,24,1,3,3,3,3,3,3,6,6,6,6,4,4,4,8,8,3,1,1],[1,54,89,64,6,112,49,33,204,
156,357,462,48,76,60,320,51,21,63,33,24,8,90,18,114,165,140,270,90,360,96,408,
176,48,52,132,180,156,72,96,120,96,72,48,240,192,78,66,18,30,18,54,132,24,72,
120,192,24,72,16,32,48,48,64,64,64,6,1,3,7,7,15,51,13,9,135,36,180,36,270,13,
7,27,27,27,12,12,28,6,18,9,36,48,36,6,14,18,42,6,12,18,36,24,12,12,36,12,24,
18,18,18,18,12,18,18,18,18,18,6,12,36,24,36,36,24,12,36,36,24,24,24,24,72,72,
78,54,18,12,30,18,54,78,66,54,42,18,18,36,36,36,36,48,36,48,108,108,108,132,
72,72,72,24,72,24,120,144,192,144,192,56,216,168,72,216,72,80,48,48,96,32,96,
32,96,96,96,64,18,45,3,13,7,27,27,27,9,9,9,12,12,28,6,18,36,36,36,48,72,6,6,6,
6,6,6,18,18,18,6,6,18,18,6,12,18,6,18,18,18,18,8,12,36,12,12,36,24,36,36,36,
12,24,72,24,6,12,18,12,9,9,9,3,6,18,18,6,18,6,18,36,12,36,36,12,12,9,36,12,84,
36,84,108,12,36,18,6,18,6,18,6,6,18,12,36,18,6,6,18,36,12,12,12,18,18,12,36,
12,54,42,18,42,84,56,12,36,12,36,24,36,12,12,36,36,36,24,24,24,24,36,24,36,12,
36,12,36,24,24,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,12,36,36,12,4,16,
16,32,16,48,16,48,16,16,16,32,96,96,32,1,2,6,3,3,9,3,4,6,18,18,6,18,18,18,7,9,
3,21,3,3,4,18,6,18,6,9,3,9,3,18,6,6,6,18,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,9,3,9,
3,9,9,4,12,12,12,12,12,12,12,12,12,12,12,12,12,28,4,12,12,12,12,12,18,36,18,6,
6,6,6,18,18,6,6,18,18,12,36,12,24,6,18,18,6,36,36,12,36,36,12,24,12,12,12,36,
36,12,12,12,8,16,16,16,32,1,3,1,3,1,3,6,6,6,6,2,6,6,18,3,3,3,3,3,6,3,3,9,3,3,
9,3,3,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,12,12,4,8,24,4,4,12,4,12,4,4,4,24,1,3,3,
3,3,3,3,6,6,4,4,4,8,1,1,1],[1,54,89,64,6,112,33,49,156,204,357,462,48,76,60,
320,21,51,33,63,8,24,18,90,114,165,140,90,270,96,360,176,408,48,52,132,156,
180,96,72,96,120,48,72,240,192,66,78,30,18,18,54,132,72,24,120,192,24,72,16,
32,48,48,64,64,64,6,3,1,7,7,15,13,51,135,9,180,36,270,36,7,13,27,27,27,12,12,
28,18,6,9,48,36,36,6,18,14,42,6,18,12,24,36,12,12,12,36,24,18,18,18,12,18,18,
18,18,18,6,18,36,12,36,24,24,36,36,12,36,24,24,24,72,24,72,54,78,12,18,18,30,
78,54,54,66,42,18,18,36,36,36,48,36,48,36,108,108,108,132,72,72,24,72,24,72,
120,192,144,144,192,56,168,216,72,216,72,80,48,48,32,96,32,96,96,96,96,64,18,
3,45,7,13,27,27,27,9,9,9,12,12,28,18,6,36,36,48,36,72,6,6,6,6,6,18,6,18,6,18,
18,6,6,18,18,12,18,6,18,18,18,8,36,12,12,12,24,36,36,36,12,36,72,24,24,6,18,
12,12,9,9,3,9,18,6,6,18,18,18,6,12,36,36,12,36,12,9,36,12,84,36,108,84,12,36,
6,18,18,6,6,18,18,6,36,12,6,18,18,6,36,12,12,12,18,18,36,12,12,42,54,18,42,84,
56,12,12,36,24,36,12,36,36,12,36,24,36,24,24,24,24,36,12,36,12,36,36,24,24,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,24,36,12,36,12,4,16,16,32,48,16,48,16,
16,16,16,96,32,96,32,1,2,6,3,3,3,9,4,18,6,6,18,18,18,18,9,7,3,21,3,3,4,18,6,
18,6,3,9,3,9,18,6,6,18,6,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,9,9,3,3,9,9,4,12,12,12,
12,12,12,12,12,12,12,12,12,12,28,4,12,12,12,12,12,18,36,18,6,6,6,6,18,6,18,6,
18,12,18,12,36,24,18,6,18,6,36,12,36,36,12,36,24,12,12,12,36,36,12,12,12,8,16,
16,16,32,1,3,1,3,1,3,6,6,6,6,2,6,6,18,3,3,3,3,3,6,3,3,9,3,9,3,3,3,6,6,6,6,6,6,
6,18,6,6,6,6,6,6,6,12,12,4,8,24,4,4,4,12,12,4,4,4,24,1,3,3,3,3,3,3,6,6,4,4,4,
8,1,1,1],[1,78,81,64,10,144,57,57,180,180,381,522,144,156,36,128,192,45,45,57,
57,90,90,174,261,132,270,270,360,360,360,360,144,36,204,228,228,72,72,72,72,
528,144,54,54,18,18,18,42,156,264,144,24,48,48,48,48,64,64,64,6,6,6,6,29,45,
45,135,135,180,180,270,270,18,18,9,24,24,12,9,36,36,36,6,12,12,24,36,36,18,18,
18,18,54,54,18,18,72,72,36,36,36,36,132,24,144,144,264,36,36,18,18,18,18,54,
54,30,18,18,36,36,36,36,36,36,36,96,96,60,132,144,144,264,144,144,144,144,24,
48,48,24,24,24,24,32,32,96,48,48,96,96,144,64,18,18,45,45,9,18,18,9,9,9,24,24,
12,36,36,36,36,72,18,18,6,6,18,18,18,18,18,18,18,18,18,18,36,36,18,18,72,72,
12,12,36,36,132,36,36,144,144,12,18,18,18,18,36,36,18,18,36,36,36,36,72,72,9,
24,12,12,6,12,12,12,12,6,12,24,12,24,24,24,24,24,12,12,12,12,12,12,24,24,24,
12,12,12,12,12,12,12,12,12,12,24,4,4,48,48,48,16,16,48,16,16,48,1,1,6,6,36,36,
18,18,18,18,18,18,18,18,3,6,6,36,36,6,6,6,3,3,3,3,6,6,6,6,6,6,9,9,3,9,12,12,
12,12,12,12,24,6,6,6,6,6,6,6,24,6,6,24,12,12,12,12,12,12,12,12,24,24,8,8,12,
12,12,16,16,48,3,3,6,6,9,6,6,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,12,4,4,4,4,4,4,
12,4,4,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,30,129,64,6,16,33,69,156,372,225,462,48,
108,180,128,192,21,81,21,45,48,24,18,102,114,153,12,90,282,96,408,144,360,60,
36,108,108,240,120,240,72,312,72,96,288,54,78,90,30,30,18,84,72,192,72,192,24,
24,24,48,64,32,48,64,64,64,6,3,6,1,15,9,45,141,9,180,36,270,36,6,9,21,9,12,18,
48,15,48,36,36,6,6,6,6,6,18,6,12,60,24,36,24,12,30,12,18,42,18,36,30,6,42,18,
12,60,84,72,36,36,12,12,144,144,24,24,48,48,36,54,78,18,30,18,54,54,18,18,30,
30,36,36,60,48,60,120,36,36,36,36,24,192,72,192,72,144,192,192,144,72,72,72,
72,72,72,24,24,24,48,48,48,48,64,32,64,48,96,96,64,18,3,45,6,9,9,9,9,15,9,18,
48,36,48,36,36,72,6,6,6,18,36,12,18,12,30,30,42,18,18,18,6,18,18,48,12,12,72,
36,12,36,12,36,144,6,6,18,6,15,18,9,18,6,6,18,18,36,36,36,12,24,72,9,12,12,12,
36,36,36,12,36,18,6,18,30,30,6,36,12,18,18,6,12,36,12,12,18,6,18,6,36,18,18,
18,24,36,60,12,36,36,12,36,24,12,36,24,36,12,36,12,36,24,36,12,12,12,12,12,12,
36,12,24,12,12,24,24,24,36,12,36,12,12,12,12,12,24,24,24,24,24,24,24,24,24,48,
4,4,32,48,12,16,32,16,32,1,2,6,3,18,9,24,18,18,18,6,18,3,3,3,18,24,6,6,18,6,
15,9,6,18,6,18,6,9,3,6,6,6,6,6,6,12,9,9,9,3,9,12,12,12,12,12,12,12,12,12,12,
12,12,18,36,18,6,6,12,18,6,18,6,6,18,12,18,12,36,18,18,6,6,12,36,36,36,12,36,
12,12,12,12,36,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
8,8,12,12,12,16,32,24,8,3,6,3,3,6,6,18,6,3,3,9,3,9,3,3,6,3,6,6,12,6,6,18,6,6,
6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,1,4,4,4,4,4,4,4,12,4,1,3,3,3,3,3,3,
6,6,6,6,3,4,2,4,4,3,1,1,1,1],[1,30,129,64,6,16,69,33,372,156,225,462,48,108,
180,128,192,81,21,45,21,24,48,102,18,114,153,12,282,90,408,96,360,144,60,36,
108,108,120,240,72,240,72,312,96,288,78,54,30,90,30,18,84,192,72,72,192,24,24,
24,48,64,32,48,64,64,64,6,6,3,1,15,45,9,9,141,36,180,36,270,9,6,21,9,12,48,18,
15,36,48,36,6,6,6,6,6,6,18,60,12,36,24,24,30,12,18,12,42,36,18,6,30,18,42,12,
84,60,36,72,12,36,12,144,144,24,48,24,48,54,36,18,78,18,30,54,54,18,18,30,30,
36,60,36,60,48,36,120,36,36,36,24,72,192,72,192,192,144,192,144,72,72,72,72,
72,72,24,24,24,48,48,48,48,64,32,64,48,96,96,64,18,45,3,9,6,9,9,15,9,9,48,18,
48,36,36,36,72,6,6,6,36,18,18,12,30,12,30,18,42,18,18,18,6,18,48,12,12,36,72,
36,12,36,12,144,6,6,6,18,15,9,18,6,18,6,18,36,18,36,12,36,24,72,9,12,12,12,36,
36,36,12,36,18,18,6,30,6,30,12,36,18,6,18,36,12,12,12,6,18,6,18,36,18,18,18,
36,24,60,36,12,12,36,24,36,36,12,24,36,36,12,36,12,36,24,12,12,12,12,12,12,36,
12,24,12,12,24,24,24,36,36,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,48,4,
4,32,48,12,16,32,16,32,1,2,6,3,9,18,24,18,18,6,18,18,3,3,3,18,24,6,6,18,6,15,
9,18,6,6,6,18,9,3,6,6,6,6,6,6,12,9,9,3,9,9,12,12,12,12,12,12,12,12,12,12,12,
12,18,36,18,6,6,12,6,18,18,6,6,12,18,18,36,12,18,6,18,6,36,12,36,12,36,36,12,
12,12,12,36,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,8,
8,12,12,12,16,32,24,8,3,6,3,3,6,6,18,6,3,3,3,9,9,3,3,6,3,6,6,12,6,6,18,6,6,6,
6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,1,4,4,4,4,4,4,4,12,4,1,3,3,3,3,3,3,6,
6,6,6,3,4,2,4,4,3,1,1,1,1],[1,18,45,160,96,6,45,15,180,135,270,288,288,45,45,
90,90,135,270,360,360,128,128,144,72,240,48,72,96,96,6,15,45,135,180,270,72,
72,144,144,144,144,64,18,45,96,96,24,60,6,6,48,48,72,72,1,18,18,24,24,1,6,6,2,
2,1],[1,18,45,160,96,6,15,45,180,135,270,288,288,45,45,90,90,135,270,360,360,
128,128,144,240,72,48,72,96,96,6,15,45,135,180,270,72,72,144,144,144,144,64,
18,45,96,96,24,6,60,6,48,48,72,72,1,18,18,24,24,1,6,6,2,2,1],[1,84,27,52,96,1,
144,135,27,36,54,54,96,228,36,228,9,54,36,108,108,27,27,54,108,108,17,32,24,
12,4,36,228,108,36,12,36,27,27,54,27,54,54,17,3,3,120,96,24,48,36,12,36,12,36,
36,36,36,16,9,27,27,1,3,3,4,8,6,6,60,12,12,12,36,36,16,32,27,1,3,3,12,4,6,6,
12,12,12,24,12,12,12,9,4,16,3,3,3,6,6,6,12,9,4,4,4,1,3,3,4,3,1,1],[1,66,85,
160,80,15,35,60,60,225,180,60,120,96,160,160,160,10,15,45,20,45,60,30,60,20,
120,60,120,60,60,120,60,240,60,120,30,60,30,30,60,120,120,60,96,96,96,320,80,
120,160,1,5,15,15,15,15,30,15,30,15,15,15,30,60,45,15,60,30,30,30,60,30,15,60,
30,30,60,30,30,60,60,60,120,120,60,60,96,120,40,80,40,80,80,1,15,15,30,15,20,
15,15,30,15,30,30,5,15,15,15,30,10,30,15,30,30,30,45,15,15,30,60,30,30,30,30,
30,10,20,60,40,80,64,5,15,15,15,15,15,15,30,30,6,10,10,10,20,20,40,5,6,6,6,5,
10,6,5,1,1],[1,66,85,160,80,35,15,60,60,225,180,60,120,96,160,160,160,15,10,
45,20,45,60,30,60,120,20,60,60,120,120,60,240,60,60,120,30,30,60,30,60,120,
120,60,96,96,96,320,80,120,160,1,5,15,15,15,15,30,15,30,15,15,15,30,60,45,15,
60,30,30,30,60,30,15,60,30,30,60,30,60,30,60,60,120,120,60,60,96,120,40,80,40,
80,80,1,15,15,30,15,20,15,15,30,15,30,30,5,15,15,15,30,10,30,15,30,30,30,45,
15,15,30,60,30,30,30,30,30,10,20,60,40,80,64,5,15,15,15,15,15,15,30,30,6,10,
10,10,20,20,40,5,6,6,6,5,10,6,5,1,1],[1,60,55,160,80,5,90,90,120,120,150,96,
160,160,160,15,10,15,60,30,60,240,90,240,45,30,90,60,60,30,60,96,320,80,120,
160,1,5,15,15,45,45,30,30,60,45,30,60,30,60,30,60,30,60,60,96,120,160,40,80,
40,15,15,10,30,15,45,15,15,30,30,15,30,30,10,20,60,40,64,5,15,15,15,15,15,15,
6,10,10,20,10,20,32,15,6,5,10,6,5,1,1],[1,60,55,160,80,5,90,90,120,120,150,96,
160,160,160,15,10,15,60,30,60,240,90,240,45,30,90,60,30,60,60,96,320,80,120,
160,1,5,15,15,45,45,30,30,60,45,30,60,30,60,30,60,30,60,60,96,120,160,40,80,
40,15,15,10,30,15,45,15,15,30,30,15,30,30,10,20,60,40,64,5,15,15,15,15,15,15,
6,10,10,20,10,20,32,15,6,5,10,6,5,1,1],[1,38,105,64,6,45,45,180,180,285,510,
60,60,16,320,15,45,35,45,30,90,130,165,150,270,160,360,240,360,60,60,60,60,
120,120,120,120,240,30,30,30,30,30,30,240,16,48,48,96,240,64,6,15,15,45,135,
15,180,60,270,60,15,15,60,60,60,30,30,30,30,60,60,30,30,30,30,30,30,30,30,60,
60,60,60,60,60,60,60,240,240,240,240,16,48,48,80,160,160,64,18,5,45,15,15,15,
15,60,60,60,60,120,10,10,30,30,30,30,30,30,60,60,30,30,60,60,15,16,24,60,16,1,
30,30,30,30,15,15,1,20,40,40,16,5,1,3,3,1,4,1,3,3,5,4,1,1,1],[1,38,105,64,6,
45,45,180,180,285,510,60,60,16,320,45,15,45,35,90,30,130,165,270,150,360,160,
360,240,60,60,60,60,120,120,120,120,240,30,30,30,30,30,30,240,16,48,48,96,240,
64,6,15,45,15,15,135,60,180,60,270,15,15,60,60,60,30,30,30,30,60,60,30,30,30,
30,30,30,30,30,60,60,60,60,60,60,60,60,240,240,240,240,16,48,48,80,160,160,64,
18,45,5,15,15,15,15,60,60,60,60,120,10,10,30,30,30,30,30,30,60,60,30,30,60,60,
15,16,24,60,16,1,30,30,30,30,15,15,1,20,40,40,16,5,1,3,3,1,4,1,3,3,5,4,1,1,
1],[1,66,21,28,228,148,7,7,189,84,84,28,84,84,8,21,21,147,21,189,63,63,63,63,
112,1,392,7,7,56,56,28,28,28,84,84,84,24,7,7,21,63,63,63,63,112,8,64,32,7,7,
21,21,21,21,21,28,84,8,21,28,28,28,24,14,14,7,7,7,7,21,21,21,21,21,32,28,28,
28,8,8,16,7,7,21,7,7,1,8,7,7,3,4,1,1],[1,147,49,343,22,14,21,168,147,14,49,49,
3,2,3,3,21,14,1,3,1,1],[1,49,343,343,22,14,21,56,49,196,98,147,49,98,3,2,3,1,
7,21,14,21,7,7,1,1,1,1],[1,90,45,61,60,15,150,135,135,180,36,60,255,15,180,
225,180,45,45,180,270,135,20,20,36,15,30,45,15,15,225,45,45,180,45,45,36,135,
20,20,120,60,60,108,15,45,90,150,45,45,15,15,45,45,45,45,45,10,36,15,15,60,60,
45,45,45,10,20,20,6,6,36,15,15,15,15,15,15,10,10,10,18,18,15,15,6,6,10,6,6,1,
1],[1,30,81,256,10,57,57,180,180,261,522,36,36,768,45,45,45,45,90,90,174,261,
270,270,360,360,360,360,36,36,36,36,72,72,72,72,144,18,18,18,18,18,18,144,256,
288,336,336,256,6,6,29,45,45,135,135,180,180,270,270,9,9,36,36,36,18,18,18,18,
18,18,18,18,36,36,36,36,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,144,
144,144,144,144,144,288,288,480,18,18,45,45,9,9,9,9,36,36,36,36,72,6,6,6,6,18,
18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,18,18,18,18,36,36,36,36,9,24,256,
24,24,68,68,160,144,144,1,1,18,18,18,18,18,18,18,18,6,9,9,9,36,36,24,24,24,24,
24,3,3,9,80,1,1,12,12,24,1,3,3,4,4,1,1,2,1],[1,30,81,64,192,6,16,33,45,156,
180,225,414,36,36,192,576,21,45,21,45,24,18,90,114,153,12,90,270,96,360,144,
360,36,36,36,108,72,72,72,72,72,144,18,54,18,18,18,18,36,72,144,24,24,256,16,
128,96,240,96,48,144,64,192,6,3,1,15,9,45,135,9,180,36,270,36,9,9,9,18,9,36,
36,36,6,6,6,18,36,36,18,18,18,18,18,18,36,36,36,54,18,18,18,54,18,18,18,18,18,
36,36,36,36,36,36,36,36,36,36,72,72,144,144,144,144,72,72,72,72,48,48,48,144,
288,96,96,96,288,96,96,18,3,45,9,9,9,9,9,9,18,36,36,36,36,72,6,6,6,18,18,18,
18,18,18,18,18,18,36,36,36,6,18,9,9,18,18,18,36,36,9,12,12,36,36,12,36,18,18,
18,18,36,18,18,36,18,18,36,18,18,36,36,36,36,36,36,36,36,36,36,36,36,64,192,
24,60,12,8,16,16,96,144,48,24,96,96,1,2,6,3,9,18,18,18,18,3,3,6,18,6,9,9,18,
18,9,9,9,9,18,36,18,18,18,18,18,36,18,18,36,36,36,36,36,36,12,12,12,36,24,24,
24,24,48,3,6,18,9,9,18,16,48,1,2,12,8,24,8,8,12,12,12,24,24,1,3,6,4,8,1,1,2,
1],[1,30,81,64,192,6,16,45,33,180,156,225,414,36,36,192,576,45,21,45,21,24,90,
18,114,153,12,270,90,360,96,360,144,36,36,108,36,72,72,72,72,72,144,54,18,18,
18,18,18,36,72,144,24,24,256,16,128,96,240,96,144,48,64,192,6,3,1,15,45,9,9,
135,36,180,36,270,9,9,9,18,9,36,36,36,6,6,6,18,36,36,18,18,18,18,18,18,36,36,
36,54,18,18,18,18,54,18,18,18,18,36,36,36,36,36,36,36,36,36,36,72,72,144,144,
144,144,72,72,72,72,48,48,144,48,288,96,96,96,288,96,96,18,45,3,9,9,9,9,9,9,
18,36,36,36,36,72,6,6,6,18,18,18,18,18,18,18,18,18,36,36,36,6,18,9,9,18,18,18,
36,36,9,12,12,36,36,12,36,18,18,18,18,36,18,18,36,18,18,36,18,18,36,36,36,36,
36,36,36,36,36,36,36,36,64,192,24,60,12,8,16,16,96,144,48,24,96,96,1,2,6,3,9,
18,18,18,18,3,3,6,18,6,9,9,18,18,9,9,9,9,18,36,18,18,18,18,18,36,18,18,36,36,
36,36,36,36,12,12,12,36,24,24,24,24,48,3,6,18,9,9,18,16,48,1,2,12,8,24,8,8,12,
12,12,24,24,1,3,6,4,8,1,1,2,1],[1,30,177,64,48,6,93,33,612,108,225,558,84,324,
16,256,336,192,240,117,9,45,21,96,126,18,114,153,306,90,504,96,360,144,84,36,
36,180,216,432,72,432,648,288,18,90,54,162,54,18,432,288,72,64,96,240,24,36,
48,48,48,240,192,144,144,48,6,12,15,45,9,9,153,36,180,36,270,12,9,108,27,36,
72,36,18,18,18,36,72,36,18,36,18,72,18,18,18,90,180,36,144,36,36,288,288,72,
162,18,54,90,18,18,18,54,54,36,108,36,36,72,36,216,36,432,432,288,144,288,144,
216,216,64,64,64,64,12,12,24,72,384,144,48,36,72,96,24,96,72,16,48,144,48,48,
48,48,18,45,3,12,9,27,9,9,108,72,36,36,36,72,6,6,72,18,18,36,36,18,90,18,18,
18,18,96,144,36,36,36,36,288,18,18,36,18,18,18,72,36,36,36,144,9,36,108,18,18,
36,18,36,18,18,54,72,36,36,72,36,36,36,72,36,36,72,72,72,36,48,64,24,60,3,24,
36,12,12,48,36,12,24,96,72,24,24,24,12,36,72,48,1,36,48,18,18,18,18,18,9,36,
48,18,18,18,18,36,9,9,9,36,36,36,36,36,18,36,36,18,36,36,48,16,16,1,48,3,64,
18,12,9,12,12,24,6,24,12,12,12,36,72,12,3,12,18,9,9,36,18,18,12,16,1,3,3,3,9,
12,3,9,3,24,6,6,12,9,4,4,12,4,3,1,3,3,9,3,3,3,1,4,3,3,1,1,1,1],[1,30,177,64,
48,6,33,93,108,612,225,558,84,324,16,256,336,192,240,9,117,21,45,96,18,126,
114,153,90,306,96,504,144,360,84,36,180,36,432,216,432,72,648,288,90,18,162,
54,54,18,432,288,72,64,96,240,24,36,48,48,240,48,192,144,144,48,6,12,15,9,45,
153,9,180,36,270,36,12,9,108,27,72,36,36,18,18,18,36,72,36,36,18,18,72,18,18,
90,18,180,144,36,36,36,288,288,72,162,54,18,18,90,18,18,54,54,36,36,108,72,36,
216,36,36,432,432,144,288,288,144,216,216,64,64,64,64,12,12,24,72,384,144,48,
36,72,96,24,96,72,48,16,48,144,48,48,48,18,3,45,12,9,9,27,9,108,36,72,36,36,
72,6,6,18,72,36,18,36,18,90,18,18,18,18,96,144,36,36,36,36,288,18,18,36,18,18,
18,72,36,36,36,144,9,36,108,18,18,36,18,36,18,18,54,72,36,36,72,36,36,36,72,
36,36,72,72,72,36,48,64,24,60,3,24,36,12,12,48,36,12,24,96,72,24,24,24,12,36,
72,48,1,36,48,18,18,18,18,18,9,36,48,18,18,18,18,36,9,9,9,36,36,36,36,36,18,
36,36,18,36,36,48,16,16,1,48,3,64,18,12,9,12,12,24,6,24,12,12,12,36,72,12,3,
12,18,9,9,36,18,18,12,16,1,3,3,3,9,12,3,9,3,24,6,6,12,9,4,4,12,4,3,1,3,3,9,3,
3,3,1,4,3,3,1,1,1,1],[1,126,81,112,6,336,45,33,180,108,513,414,192,180,36,560,
48,432,45,9,69,57,90,18,114,153,324,270,90,360,96,360,144,192,36,324,252,324,
72,72,72,72,864,144,54,90,18,18,18,90,252,432,144,72,64,120,36,240,48,48,432,
144,48,144,48,6,18,12,15,45,9,9,135,36,180,36,270,36,18,9,48,36,36,9,36,36,36,
18,36,36,72,72,18,18,72,18,18,36,144,36,36,144,72,72,288,288,36,72,18,18,18,
18,90,54,90,18,18,36,36,36,36,36,36,36,216,144,108,180,216,288,432,144,144,
144,144,72,144,144,72,64,128,12,192,84,400,24,48,60,96,72,168,16,48,144,48,48,
48,48,18,45,3,9,18,36,9,9,9,48,36,36,36,36,36,36,72,24,6,6,18,18,18,18,18,72,
18,36,144,36,36,36,144,36,72,288,36,36,18,72,18,18,36,36,144,36,9,72,36,36,18,
36,36,36,36,18,36,36,72,72,72,72,72,36,36,36,36,36,36,36,36,36,48,64,24,60,3,
12,24,36,48,60,36,12,168,24,24,12,36,72,48,1,12,18,72,18,18,18,18,9,12,72,18,
18,9,9,18,18,18,9,9,9,36,36,36,36,18,18,18,72,18,72,48,16,16,1,16,3,96,18,12,
9,12,12,6,24,24,12,12,12,36,72,12,3,12,18,9,9,18,18,18,18,12,16,1,3,9,12,3,3,
3,9,3,24,6,6,12,9,4,4,12,4,3,1,3,3,9,3,3,3,1,4,3,3,1,1,1,1],[1,126,81,112,6,
336,33,45,108,180,513,414,192,180,36,560,48,432,9,45,57,69,18,90,114,153,324,
90,270,96,360,144,360,192,36,324,324,252,72,72,72,72,864,144,90,54,18,18,18,
90,252,432,144,72,64,120,240,36,48,48,432,144,48,144,48,6,12,18,15,9,45,135,9,
180,36,270,36,18,36,9,36,48,36,9,36,36,36,18,36,36,72,72,18,18,18,72,18,144,
36,36,36,144,72,288,72,288,72,36,18,18,18,18,54,90,90,18,18,36,36,36,36,36,36,
36,144,216,108,180,288,216,432,144,144,144,144,72,144,144,72,64,128,12,84,192,
400,24,60,48,72,96,168,16,48,144,48,48,48,48,18,3,45,9,36,18,9,9,9,36,48,36,
36,36,36,36,72,6,24,6,18,18,18,18,18,72,18,144,36,36,36,36,144,36,288,72,36,
36,18,18,72,18,36,36,36,144,9,72,36,36,18,36,36,36,36,18,36,36,72,72,72,72,72,
36,36,36,36,36,36,36,36,36,48,64,24,3,60,12,24,36,60,48,36,12,168,24,24,12,36,
72,48,1,12,72,18,18,18,18,18,9,12,72,18,18,9,9,18,18,18,9,9,9,36,36,36,36,18,
18,18,72,18,72,48,16,16,16,1,3,18,96,9,12,12,12,24,6,24,12,12,12,36,72,12,3,
12,18,9,9,18,18,18,18,12,16,1,3,12,9,3,3,3,9,3,6,24,6,12,9,4,4,12,4,3,1,3,3,9,
3,3,3,1,4,3,3,1,1,1,1],[1,49,196,441,196,8,147,49,147,196,56,147,56,49,56,49,
1,1,4,9,4,3,1,3,4,3,1,1],[1,49,196,441,196,8,49,147,147,196,56,147,56,49,56,
49,1,1,4,9,4,1,3,3,4,3,1,1],[1,42,29,112,112,7,7,28,28,189,84,28,560,64,7,7,
21,21,8,8,21,140,56,56,28,84,84,84,42,42,42,84,56,28,28,28,112,112,112,64,1,1,
7,7,7,7,7,7,21,21,21,28,14,14,42,42,42,42,42,42,42,42,84,84,84,84,56,168,168,
168,64,140,28,28,56,56,56,56,56,112,7,7,21,21,21,28,28,84,84,84,42,42,42,84,
56,64,28,28,28,28,28,28,28,28,28,56,56,56,8,8,7,7,21,28,7,28,28,28,56,8,8,1,8,
8,7,7,7,8,8,7,1,1],[1,99,112,35,266,28,84,210,224,336,64,7,8,14,105,252,210,
168,42,21,126,28,14,56,84,28,56,28,112,112,112,64,7,1,7,14,21,21,21,42,42,126,
21,42,126,42,42,84,84,64,56,56,56,56,28,56,56,84,112,56,56,28,21,21,42,7,21,
42,21,21,42,21,42,42,64,28,28,28,56,28,28,28,28,56,56,28,28,8,7,7,21,21,21,21,
21,7,28,28,28,8,21,8,8,7,7,7,7,8,8,8,7,7,1],[1,99,112,35,28,266,84,210,224,
336,64,7,14,8,105,252,210,168,42,21,126,14,28,56,84,28,28,56,112,112,112,64,7,
1,7,14,21,21,21,42,42,126,21,42,126,42,42,84,84,64,56,56,56,56,28,56,56,84,
112,56,28,56,21,21,42,7,21,42,21,21,42,21,42,42,64,28,28,28,56,28,28,28,56,28,
56,28,28,8,7,7,21,21,21,21,21,7,28,28,28,8,21,8,8,7,7,7,7,8,8,8,7,7,1],[1,42,
141,112,91,35,532,28,189,420,84,336,112,336,336,64,98,7,21,64,140,105,210,420,
140,56,84,84,84,336,84,504,504,168,42,84,126,42,336,168,56,56,112,28,112,336,
336,64,7,8,7,105,105,84,21,42,14,63,21,42,42,84,168,168,126,84,42,42,84,42,42,
168,336,336,168,168,168,168,64,28,112,28,56,56,56,112,112,56,28,56,56,112,56,
112,56,7,21,84,42,21,21,21,42,21,56,42,168,21,42,84,28,84,42,42,42,84,84,64,7,
28,56,56,28,56,28,112,56,56,112,56,56,56,8,28,21,7,21,42,42,42,42,42,7,7,14,7,
7,56,28,14,8,21,8,8,8,7,7,7,7,7,7,14,14,8,8,8,7,7,1,1],[1,42,141,112,35,91,28,
532,189,420,84,336,112,336,336,64,7,98,21,64,140,105,210,420,56,140,84,84,336,
84,504,84,504,168,42,126,84,42,336,168,56,56,28,112,112,336,336,64,7,8,7,105,
105,84,21,42,14,63,21,42,42,84,168,168,126,84,42,42,84,42,168,42,336,336,168,
168,168,168,64,112,28,56,28,56,56,112,112,28,56,56,56,112,56,112,56,7,21,84,
42,21,21,21,42,21,56,42,168,21,42,84,28,84,42,42,42,84,84,64,7,28,56,28,56,56,
28,112,56,56,112,56,56,56,8,28,21,7,21,42,42,42,42,42,7,7,14,7,7,56,28,14,8,
21,8,8,8,7,7,7,7,7,7,14,14,8,8,8,7,7,1,1],[1,60,15,16,240,80,5,30,90,90,96,
160,240,240,15,15,60,180,45,60,160,96,20,400,20,100,120,80,80,96,1,5,15,15,45,
45,45,160,120,60,60,60,60,96,15,15,45,80,80,1,10,25,20,20,20,60,60,64,5,6,10,
15,15,20,10,6,16,5,5,5,5,6,10,6,5,1,1],[1,60,15,16,240,80,5,30,90,90,96,160,
240,240,15,15,60,180,45,60,160,96,20,400,20,100,120,80,80,96,1,5,15,15,45,45,
45,160,120,60,60,60,60,96,15,15,45,80,80,1,10,25,20,20,20,60,60,64,5,6,10,15,
15,20,10,6,16,5,5,5,5,6,10,6,5,1,1],[1,108,135,40,1,300,15,15,90,90,495,315,
120,180,90,36,200,360,360,45,45,45,315,45,45,30,30,90,90,30,45,405,135,135,90,
90,90,90,630,180,45,135,135,180,180,10,36,108,108,15,15,40,120,280,600,360,40,
120,15,15,15,15,15,15,45,45,45,45,45,45,45,135,45,45,45,135,45,45,45,135,135,
135,135,135,135,90,90,90,90,10,30,30,80,36,72,72,108,108,15,15,45,45,30,30,45,
45,30,30,120,120,40,120,120,120,120,15,15,45,45,45,45,45,45,45,45,45,45,45,45,
45,10,30,30,20,20,40,40,40,40,36,36,36,15,15,15,15,45,45,45,45,15,15,30,30,30,
30,15,15,15,15,120,6,6,45,10,10,10,40,20,20,40,40,40,36,15,15,15,15,15,15,15,
15,15,15,15,15,15,15,12,12,6,6,12,12,10,10,10,20,20,15,15,6,6,6,6,6,6,10,1,6,
6,1,2,2,1,1,1,1],[1,110,177,64,10,304,69,93,300,540,813,1002,208,252,324,192,
192,320,63,99,95,123,72,24,102,126,238,333,396,330,450,424,552,552,744,208,
156,420,612,468,408,312,504,408,504,168,1104,720,258,186,138,90,66,162,420,
120,360,552,720,72,24,216,48,96,240,64,64,192,320,192,64,64,6,6,3,9,21,19,29,
63,75,153,141,252,204,342,294,39,21,75,93,81,52,60,84,30,90,33,156,156,132,6,
18,42,54,126,18,6,42,78,156,84,60,60,132,60,120,90,54,54,30,78,54,54,114,66,
90,90,42,132,108,84,204,204,108,84,132,180,72,216,72,216,120,264,216,360,258,
150,126,42,90,90,162,234,186,186,126,66,66,132,132,132,156,156,204,156,300,
372,324,420,360,312,360,120,360,120,552,624,624,528,720,168,648,504,72,216,
648,72,216,24,24,24,48,48,48,48,48,144,192,288,80,160,160,64,64,64,64,64,64,
64,18,18,47,51,39,21,81,93,75,33,33,33,52,60,84,30,90,132,132,156,156,264,22,
30,18,10,18,30,42,90,54,30,66,30,42,66,90,30,54,78,42,66,90,54,30,54,72,24,
132,108,60,60,204,84,108,60,180,132,84,264,216,216,72,18,6,42,78,60,45,27,45,
15,42,66,54,66,54,30,30,90,132,84,60,108,108,132,108,36,33,108,12,36,252,108,
36,252,324,12,36,36,108,66,30,54,18,30,66,30,30,66,60,132,66,30,30,66,108,36,
60,60,60,18,54,18,54,60,132,60,162,126,54,18,126,252,24,168,60,132,60,156,84,
132,60,60,132,36,108,156,84,120,120,120,156,84,132,60,132,60,108,36,120,120,
84,84,60,84,60,84,36,36,60,36,12,60,60,84,36,36,12,36,72,24,60,84,72,120,72,
24,24,72,60,132,108,36,60,12,12,12,12,12,24,24,24,24,24,24,24,24,24,48,24,60,
16,32,48,48,80,48,96,96,160,16,16,32,64,1,1,2,6,18,6,15,9,45,15,12,36,66,54,
66,42,54,30,30,54,30,54,21,27,9,3,63,7,9,9,27,12,36,42,54,18,6,54,18,6,18,6,
33,15,33,15,54,18,30,30,30,66,9,9,9,9,30,30,42,30,42,30,6,18,18,30,30,30,18,6,
42,30,30,30,12,36,27,15,15,33,15,9,27,33,12,12,12,36,60,60,12,36,84,84,60,60,
84,84,60,36,12,36,36,36,12,60,60,60,84,12,12,60,60,60,60,36,36,18,54,36,108,
18,54,18,18,18,30,18,30,18,18,36,12,18,54,66,30,30,6,6,18,54,78,42,132,60,120,
30,66,18,54,30,6,108,36,132,60,36,108,132,60,120,60,60,60,12,12,12,12,36,108,
108,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,
12,12,12,12,12,12,12,12,12,24,12,24,24,12,36,48,72,20,16,48,40,40,16,16,16,16,
32,16,3,9,5,9,3,7,9,3,3,9,9,30,30,30,30,6,6,18,18,6,18,54,18,15,15,15,9,15,9,
9,15,18,18,18,6,15,9,9,9,9,3,9,27,15,15,33,9,9,9,9,18,18,18,18,18,18,3,18,18,
18,30,18,18,18,30,36,12,6,6,18,54,6,6,6,6,18,6,18,30,18,18,6,6,42,30,30,30,6,
18,6,6,6,6,18,18,6,6,6,6,12,12,12,12,12,12,60,12,12,12,12,12,12,12,12,12,60,
12,12,12,12,1,4,8,12,20,12,12,4,4,8,24,24,40,16,1,1,3,1,3,15,9,3,9,9,9,3,9,3,
9,9,9,9,9,3,3,9,9,3,3,3,3,15,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,18,18,18,18,3,3,5,
4,4,4,4,4,4,12,8,3,3,3,1,3,3,3,3,3,3,3,3,3,3,3,1,1,5,3,3,1,1,4,3,1,1,1,1,1,1,
1,1],[1,110,177,64,10,304,93,69,540,300,813,1002,208,252,324,192,192,320,99,
63,123,95,24,72,126,102,238,333,396,450,330,552,424,744,552,208,156,420,468,
612,312,408,408,504,168,504,1104,720,186,258,90,138,66,162,420,360,120,552,
720,24,72,216,48,96,240,64,64,192,320,192,64,64,6,6,9,3,19,21,29,75,63,141,
153,204,252,294,342,21,39,93,75,81,60,52,84,90,30,33,156,156,132,18,6,54,42,
126,6,18,78,42,84,156,60,60,60,132,120,54,90,30,54,54,78,114,54,90,66,42,90,
108,132,204,84,108,204,132,84,180,216,72,216,72,120,216,264,360,150,258,42,
126,90,90,234,162,186,186,126,66,66,132,132,132,156,156,156,204,372,300,324,
420,312,360,120,360,120,360,552,624,624,528,720,168,504,648,216,72,648,216,72,
24,24,24,48,48,48,48,48,144,192,288,80,160,160,64,64,64,64,64,64,64,18,18,51,
47,21,39,81,75,93,33,33,33,60,52,84,90,30,132,132,156,156,264,30,22,10,18,30,
18,90,42,30,54,30,66,66,42,30,90,78,54,66,42,54,90,54,30,24,72,108,132,60,60,
84,204,60,108,180,84,132,216,264,72,216,6,18,78,42,60,27,45,15,45,66,42,66,54,
30,54,90,30,84,132,108,60,132,108,36,108,33,108,36,12,252,36,108,324,252,36,
12,108,36,30,66,18,54,30,30,66,66,30,132,60,30,66,66,30,36,108,60,60,60,54,18,
54,18,132,60,60,126,162,18,54,126,252,24,168,60,60,132,84,156,60,132,132,60,
108,36,84,156,120,120,120,84,156,60,132,60,132,36,108,120,120,84,84,84,60,84,
60,36,36,60,12,36,60,60,84,36,36,36,12,24,72,84,60,120,72,24,72,72,24,132,60,
36,108,60,12,12,12,12,12,24,24,24,24,24,24,24,24,24,48,24,60,16,32,48,48,80,
48,96,96,160,16,16,32,64,1,1,6,2,6,18,9,15,15,45,36,12,54,66,42,66,30,54,54,
30,54,30,27,21,3,9,63,9,7,27,9,36,12,54,42,6,18,18,54,6,6,18,15,33,15,33,18,
54,30,30,66,30,9,9,9,9,30,30,30,42,30,42,18,6,30,18,30,30,6,18,30,42,30,30,36,
12,15,27,33,15,15,27,9,33,12,12,36,12,60,60,36,12,84,60,84,84,60,60,84,12,36,
36,36,12,36,60,60,60,84,12,12,60,60,60,60,36,36,54,18,108,36,54,18,18,18,30,
18,30,18,18,18,12,36,54,18,30,66,30,6,6,54,18,42,78,60,132,120,66,30,54,18,30,
6,36,108,60,132,108,36,60,132,120,60,60,60,12,12,12,12,108,36,36,108,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,12,12,12,12,12,12,
12,12,12,24,12,24,24,12,36,48,72,20,16,48,40,40,16,16,16,16,32,16,3,5,9,3,9,9,
7,3,3,9,9,30,30,30,30,6,6,18,18,18,6,18,54,15,15,15,9,9,15,15,9,18,18,6,18,9,
15,9,9,3,9,27,9,15,33,15,9,9,9,9,18,18,18,18,18,18,3,18,18,30,18,18,18,30,18,
12,36,6,6,54,18,6,6,6,6,6,18,30,18,18,18,6,6,30,42,30,30,18,6,6,6,6,6,18,18,6,
6,6,6,12,12,12,12,12,12,60,12,12,12,12,12,12,12,12,12,60,12,12,12,12,1,4,8,12,
20,12,12,4,4,8,24,24,40,16,1,3,1,3,1,9,15,9,3,9,9,9,3,9,3,9,9,9,9,3,3,9,9,3,3,
3,3,15,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,18,18,18,18,3,3,5,4,4,4,4,4,4,12,8,3,3,1,
3,3,3,3,3,3,3,3,3,3,3,3,1,1,5,3,3,1,1,4,3,1,1,1,1,1,1,1,1],[1,78,209,64,18,
112,141,109,588,492,741,1314,144,220,420,64,320,320,147,87,147,87,56,24,270,
126,390,549,140,810,450,1080,552,1112,648,144,172,276,420,372,456,504,552,504,
408,360,720,816,186,162,138,162,90,114,228,216,312,360,816,72,24,120,48,16,32,
48,48,64,64,192,192,320,64,64,18,6,3,7,7,7,57,139,63,153,405,252,540,342,810,
25,13,39,39,57,36,36,28,54,78,45,180,204,180,6,18,18,26,42,18,6,42,54,108,84,
36,36,108,60,72,54,54,90,54,90,78,78,78,90,90,114,90,60,108,132,156,228,204,
132,180,132,216,168,216,168,72,120,216,264,150,102,102,90,114,90,138,186,138,
114,42,90,90,180,180,180,180,204,228,252,156,156,228,228,216,216,312,216,312,
216,360,720,816,720,816,56,312,216,72,216,360,72,216,24,24,24,48,48,48,48,16,
48,48,80,48,48,96,32,32,96,64,80,48,48,32,96,32,96,96,64,64,64,64,96,96,64,64,
64,54,18,135,51,25,13,57,39,39,45,45,45,36,36,28,54,78,180,180,180,204,360,30,
30,30,18,18,18,90,114,90,54,54,30,66,90,78,54,78,90,66,90,54,54,54,90,56,72,
60,108,36,36,156,132,180,108,132,180,132,120,216,168,216,18,6,42,54,36,27,27,
39,27,66,90,54,30,90,54,54,78,180,132,108,180,108,60,84,108,45,60,12,36,84,
108,36,108,156,12,36,36,108,54,30,54,18,18,54,30,30,54,60,108,54,30,30,54,108,
36,36,36,36,18,54,18,54,60,108,36,78,54,54,18,42,84,72,56,36,108,60,108,84,
108,60,60,108,36,108,108,84,72,72,72,108,84,108,60,108,60,108,36,72,72,84,84,
60,60,60,60,12,36,36,36,36,36,36,84,12,36,36,36,72,72,60,60,120,72,72,72,72,
72,60,108,108,36,36,12,12,12,12,12,24,24,24,24,24,24,24,24,24,48,4,16,16,32,
48,16,48,16,80,48,48,48,48,16,48,16,48,32,96,32,32,96,32,96,96,32,16,16,16,16,
16,16,32,32,96,32,96,32,32,64,3,1,2,6,18,6,9,9,39,27,36,28,30,54,90,66,90,54,
54,90,54,90,9,13,9,3,21,9,3,27,21,36,28,54,18,18,6,54,18,18,18,6,27,15,27,15,
54,18,18,18,30,54,3,9,9,3,18,18,30,30,30,30,18,18,30,18,18,18,18,18,30,30,18,
18,36,36,45,27,15,27,9,9,27,45,4,12,36,36,36,36,36,36,84,60,60,60,60,60,60,36,
36,12,36,36,36,36,36,36,28,12,4,36,36,36,36,36,12,18,54,36,108,18,54,18,6,30,
18,30,18,18,6,36,36,18,54,54,30,18,6,6,18,54,54,42,108,60,72,30,54,18,54,18,6,
108,36,108,60,36,108,108,60,72,36,36,36,12,12,12,12,36,108,108,36,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,12,12,12,12,12,12,12,
12,12,24,12,24,24,4,12,8,12,12,12,16,16,48,16,16,48,8,16,16,16,16,16,16,16,16,
16,16,16,16,32,16,16,16,32,32,1,15,9,7,9,9,3,1,3,9,3,18,18,18,18,6,2,18,6,6,
18,54,18,9,9,9,27,9,15,15,9,18,6,18,18,9,15,3,9,9,9,9,27,9,15,27,3,9,9,3,18,6,
6,18,18,6,3,6,18,30,18,6,18,30,18,36,36,6,6,18,54,6,6,6,6,18,18,30,18,6,18,6,
6,30,30,18,18,18,18,6,6,6,6,18,6,6,6,6,6,12,12,12,12,12,12,36,12,12,12,12,12,
12,12,12,12,36,12,12,12,12,4,8,24,12,12,4,4,4,12,4,12,12,12,4,4,4,4,12,12,4,4,
4,4,8,8,24,16,16,16,3,1,3,3,3,9,15,9,9,9,3,9,9,9,9,9,3,3,9,3,3,9,3,3,3,3,3,9,
3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,18,6,18,4,4,4,4,12,12,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,8,8,8,3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,78,209,64,18,
112,109,141,492,588,741,1314,144,220,420,64,320,320,87,147,87,147,24,56,126,
270,390,549,140,450,810,552,1080,648,1112,144,172,276,372,420,504,456,504,552,
360,408,720,816,162,186,162,138,90,114,228,312,216,360,816,24,72,120,48,16,32,
48,48,64,64,192,192,320,64,64,6,18,7,3,7,7,57,63,139,405,153,540,252,810,342,
13,25,39,39,57,36,36,28,78,54,45,204,180,180,18,6,26,18,42,6,18,54,42,84,108,
36,36,60,108,72,54,54,54,90,78,90,78,78,90,90,90,114,108,60,156,132,204,228,
180,132,132,168,216,168,216,72,216,120,264,102,150,90,102,90,114,186,138,114,
138,42,90,90,180,180,180,204,180,252,228,156,156,228,228,216,216,216,312,216,
312,360,816,720,720,816,56,216,312,216,72,360,216,72,24,24,24,48,48,48,48,16,
48,48,80,48,48,32,96,96,32,64,80,48,48,96,32,96,32,96,64,64,64,64,96,96,64,64,
64,18,54,51,135,13,25,57,39,39,45,45,45,36,36,28,78,54,180,180,204,180,360,30,
30,18,30,18,18,114,90,54,90,30,54,90,66,54,78,90,78,90,66,54,54,90,54,72,56,
108,60,36,36,132,156,108,180,132,132,180,216,120,216,168,6,18,54,42,36,27,27,
27,39,90,66,30,54,54,90,78,54,132,180,180,108,60,108,108,84,45,60,36,12,84,36,
108,156,108,36,12,108,36,30,54,18,54,18,30,54,54,30,108,60,30,54,54,30,36,108,
36,36,36,54,18,54,18,108,60,36,54,78,18,54,42,84,72,56,36,60,108,84,108,60,
108,108,60,108,36,84,108,72,72,72,84,108,60,108,60,108,36,108,72,72,84,84,60,
60,60,60,36,12,36,36,36,36,36,84,36,12,36,36,72,72,60,60,72,120,72,72,72,72,
108,60,36,108,36,12,12,12,12,12,24,24,24,24,24,24,24,24,24,48,4,16,16,32,16,
48,16,48,80,48,48,48,48,48,16,48,16,96,32,32,96,32,96,32,32,96,16,16,16,16,16,
16,32,32,32,96,96,32,32,64,1,3,6,2,6,18,9,9,27,39,28,36,54,30,66,90,54,90,90,
54,90,54,13,9,3,9,21,3,9,21,27,28,36,18,54,6,18,18,54,18,6,18,15,27,15,27,18,
54,18,18,54,30,9,3,3,9,18,18,30,30,30,30,18,18,18,30,18,18,18,18,30,30,18,18,
36,36,27,45,27,15,9,27,9,45,12,4,36,36,36,36,36,36,84,60,60,60,60,60,60,36,36,
36,12,36,36,36,36,36,28,4,12,36,36,36,36,12,36,54,18,108,36,54,18,6,18,18,30,
18,30,6,18,36,36,54,18,30,54,18,6,6,54,18,42,54,60,108,72,54,30,54,18,18,6,36,
108,60,108,108,36,60,108,72,36,36,36,12,12,12,12,108,36,36,108,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,12,12,12,12,12,12,12,12,
12,24,12,24,24,4,12,8,12,12,12,16,16,16,48,48,16,8,16,16,16,16,16,16,16,16,16,
16,16,16,32,16,16,16,32,32,1,9,15,9,7,3,9,3,1,3,9,18,18,18,18,2,6,6,18,18,6,
18,54,9,9,9,27,15,9,9,15,6,18,18,18,15,9,9,3,9,9,27,9,9,27,15,9,3,3,9,6,18,18,
6,6,18,3,18,6,18,30,18,6,18,30,36,36,6,6,54,18,6,6,6,6,18,18,18,30,18,6,6,6,
30,30,18,18,18,18,6,6,6,6,6,18,6,6,6,6,12,12,12,12,12,12,36,12,12,12,12,12,12,
12,12,12,36,12,12,12,12,4,8,24,12,12,4,4,4,12,12,4,12,12,4,4,4,12,4,12,4,4,4,
4,8,8,24,16,16,16,3,3,1,3,3,15,9,9,9,3,9,9,9,9,9,3,9,9,3,3,3,3,9,3,3,3,3,9,3,
3,3,3,3,3,3,6,6,6,6,6,6,6,6,18,6,18,6,4,4,4,4,12,4,12,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,8,8,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,49,441,22,14,21,
343,14,14,196,196,147,98,49,3,2,3,98,49,2,21,14,21,14,14,1,14,1,1,2,1],[1,54,
153,160,96,6,45,69,180,324,405,702,108,108,96,96,288,288,864,288,45,27,45,63,
90,54,162,189,270,270,360,288,360,432,108,108,108,108,216,216,216,216,432,54,
54,54,54,54,54,432,128,128,144,72,240,48,72,96,96,288,288,288,288,6,15,45,27,
27,135,108,180,108,270,27,27,108,108,108,54,54,54,54,108,108,54,54,54,54,54,
54,54,54,108,108,108,108,108,108,108,108,432,432,432,432,384,384,72,72,72,72,
144,144,144,72,72,144,288,144,432,144,96,96,64,18,45,9,27,27,27,27,108,108,
108,108,216,18,18,54,54,54,54,54,54,108,108,54,54,108,108,27,96,96,24,60,6,6,
48,48,72,72,72,72,72,72,144,144,144,144,64,1,54,54,54,54,27,27,96,96,6,6,18,
18,36,18,18,72,72,72,72,9,24,24,1,6,6,18,18,18,18,24,24,9,6,6,2,2,6,6,1,1],[1,
54,153,160,96,6,69,45,324,180,405,702,108,108,96,96,288,288,864,288,27,45,63,
45,54,90,162,189,270,270,288,360,432,360,108,108,108,108,216,216,216,216,432,
54,54,54,54,54,54,432,128,128,144,240,72,48,72,96,96,288,288,288,288,6,15,27,
45,135,27,180,108,270,108,27,27,108,108,108,54,54,54,54,108,108,54,54,54,54,
54,54,54,54,108,108,108,108,108,108,108,108,432,432,432,432,384,384,72,72,72,
72,144,144,72,144,72,144,144,288,432,144,96,96,64,18,9,45,27,27,27,27,108,108,
108,108,216,18,18,54,54,54,54,54,54,108,108,54,54,108,108,27,96,96,24,6,60,6,
48,48,72,72,72,72,72,72,144,144,144,144,64,1,54,54,54,54,27,27,96,96,6,6,18,
18,18,36,18,72,72,72,72,9,24,24,1,6,6,18,18,18,18,24,24,9,6,6,2,2,6,6,1,1],[1,
90,45,160,96,6,144,45,15,180,243,270,144,108,480,576,288,45,63,90,90,135,108,
270,360,360,144,108,108,216,432,54,108,216,128,128,144,72,240,48,72,96,144,96,
144,144,144,6,9,15,45,135,180,270,27,36,54,54,108,108,216,216,54,54,108,108,
216,216,64,192,144,72,336,144,72,144,144,144,144,144,144,64,18,45,27,36,18,54,
108,108,216,27,54,108,96,96,24,60,6,6,36,48,48,72,72,36,72,36,36,72,64,1,9,54,
9,54,48,48,12,72,18,18,18,18,36,72,36,9,24,24,1,6,6,9,9,9,9,12,12,3,9,9,2,2,1,
3,1,1],[1,90,45,160,96,6,144,15,45,180,243,270,144,108,480,576,288,45,63,90,
90,135,108,270,360,360,144,108,216,108,432,54,108,216,128,128,144,240,72,48,
72,96,144,96,144,144,144,6,9,15,45,135,180,270,27,36,54,54,108,108,216,216,54,
54,108,108,216,216,64,192,72,144,336,144,72,144,144,144,144,144,144,64,18,45,
27,36,18,54,108,108,216,27,54,108,96,96,24,6,60,6,36,48,48,72,72,36,72,36,36,
72,64,1,9,54,9,54,48,48,12,18,72,18,18,18,36,72,36,9,24,24,1,6,6,9,9,9,9,12,
12,3,9,9,2,2,1,3,1,1],[1,18,117,160,96,6,81,15,396,135,270,36,216,192,288,288,
576,99,45,72,90,90,135,270,360,360,36,108,216,216,432,54,108,216,128,128,144,
72,240,48,72,96,144,96,144,144,144,6,9,15,45,135,180,270,9,54,54,54,108,108,
216,216,54,108,54,108,216,216,64,192,48,72,288,144,72,72,144,144,72,144,144,
144,144,64,18,45,9,54,54,54,72,108,216,27,54,108,96,96,24,60,6,6,48,48,72,72,
36,36,72,36,36,72,64,1,27,36,27,36,48,48,36,48,18,18,18,18,36,72,36,9,24,24,1,
6,6,9,9,9,9,12,12,3,9,9,2,2,1,3,1,1],[1,18,117,160,96,6,15,81,396,135,270,36,
216,192,288,288,576,99,45,72,90,90,135,270,360,360,36,108,216,216,432,54,108,
216,128,128,144,240,72,48,72,96,96,144,144,144,144,6,9,15,45,135,180,270,9,54,
54,54,108,108,216,216,54,108,54,108,216,216,64,192,48,72,288,144,72,72,144,
144,72,144,144,144,144,64,18,45,9,54,54,54,72,108,216,27,54,108,96,96,24,6,60,
6,48,48,72,72,36,36,72,36,36,72,64,1,27,36,27,36,48,48,36,48,18,18,18,18,36,
72,36,9,24,24,1,6,6,9,9,9,9,12,12,3,9,9,2,2,1,3,1,1],[1,21,7,420,7,7,21,28,
147,8,49,21,196,7,105,98,49,49,147,21,196,1,64,56,392,28,56,7,7,147,7,7,21,49,
49,21,28,8,21,28,56,49,49,7,7,7,7,14,14,21,28,8,8,8,8,1,7,7,21,7,7,8,7,7,7,1,
1],[1,30,225,220,10,75,75,225,450,156,20,900,300,150,225,100,12,900,180,210,
300,300,100,300,300,120,25,100,200,60,180,180,150,100,36,120,120,120,100,100,
60,25,25,50,36,72,2,60,60,60,120,100,36,30,60,25,20,10,12,20,12,10,1],[1,78,
225,160,26,225,105,900,180,765,1530,180,180,96,160,480,480,225,45,225,45,450,
90,510,765,1350,270,1800,360,1800,360,180,180,180,180,360,360,360,360,720,90,
90,90,90,90,90,720,96,288,288,160,240,120,160,480,480,30,6,85,225,45,135,675,
180,900,270,1350,45,45,180,180,180,90,90,90,90,90,90,90,90,180,180,180,180,90,
90,90,90,90,90,90,90,180,180,180,180,180,180,180,180,720,720,720,720,96,288,
288,120,120,240,120,240,240,480,480,160,90,18,225,45,45,45,45,45,180,180,180,
180,360,30,30,30,30,90,90,90,90,90,90,90,90,90,90,90,90,180,180,180,180,90,90,
90,90,180,180,180,180,45,120,96,10,20,160,120,240,120,120,240,240,16,48,5,1,
90,90,90,90,90,90,90,90,30,45,45,45,6,10,30,30,60,120,60,48,48,96,15,15,45,6,
18,18,20,10,30,30,60,16,48,5,6,18,18,10,6,5,1],[1,78,225,160,26,105,225,180,
900,765,1530,180,180,96,160,480,480,45,225,45,225,90,450,510,765,270,1350,360,
1800,360,1800,180,180,180,180,360,360,360,360,720,90,90,90,90,90,90,720,96,
288,288,160,120,240,160,480,480,6,30,85,45,225,675,135,900,180,1350,270,45,45,
180,180,180,90,90,90,90,90,90,90,90,180,180,180,180,90,90,90,90,90,90,90,90,
180,180,180,180,180,180,180,180,720,720,720,720,96,288,288,120,120,240,240,
120,480,240,480,160,18,90,45,225,45,45,45,45,180,180,180,180,360,30,30,30,30,
90,90,90,90,90,90,90,90,90,90,90,90,180,180,180,180,90,90,90,90,180,180,180,
180,45,120,96,20,10,160,240,120,120,120,240,240,16,48,1,5,90,90,90,90,90,90,
90,90,30,45,45,45,6,10,30,60,30,120,60,48,48,96,15,15,45,6,18,18,10,20,30,30,
60,16,48,5,6,18,18,10,6,5,1],[1,78,225,160,6,80,105,45,780,180,585,990,180,
180,96,160,480,480,105,45,105,45,120,90,90,210,225,60,450,270,480,360,720,360,
180,180,180,540,360,360,360,360,360,720,90,270,90,90,90,90,180,360,720,120,
120,96,288,288,320,80,120,160,480,480,6,15,5,15,45,45,135,45,180,180,270,180,
45,45,45,90,45,180,180,180,30,30,30,90,180,180,90,90,90,90,90,90,180,180,180,
270,90,90,90,270,90,90,90,90,90,180,180,180,180,180,180,180,180,180,180,360,
360,720,720,720,720,360,360,360,360,96,288,288,120,120,240,120,240,240,160,18,
15,45,45,45,45,45,45,45,90,180,180,180,180,360,30,30,30,90,90,90,90,90,90,90,
90,90,180,180,180,30,90,45,45,90,90,90,180,180,45,60,60,180,180,60,180,90,90,
90,90,180,90,90,180,90,90,180,90,90,180,180,180,180,180,180,180,180,180,180,
180,180,96,10,20,80,120,60,120,120,240,240,64,1,10,30,15,45,90,90,90,90,15,15,
30,90,30,45,45,90,90,45,45,45,45,90,180,90,90,90,90,90,180,90,90,180,180,180,
180,180,180,6,10,30,30,120,60,60,120,15,30,90,45,45,90,6,18,18,5,10,20,30,30,
60,5,6,18,18,10,15,6,5,1,3,1],[1,78,225,160,6,80,45,105,180,780,585,990,180,
180,96,160,480,480,45,105,45,105,120,90,90,210,225,60,270,450,360,480,360,720,
180,180,540,180,360,360,360,360,360,720,270,90,90,90,90,90,180,360,720,120,
120,96,288,288,320,80,120,160,480,480,6,15,5,15,45,45,45,135,180,180,180,270,
45,45,45,90,45,180,180,180,30,30,30,90,180,180,90,90,90,90,90,90,180,180,180,
270,90,90,90,90,270,90,90,90,90,180,180,180,180,180,180,180,180,180,180,360,
360,720,720,720,720,360,360,360,360,96,288,288,120,120,240,120,240,240,160,18,
45,15,45,45,45,45,45,45,90,180,180,180,180,360,30,30,30,90,90,90,90,90,90,90,
90,90,180,180,180,30,90,45,45,90,90,90,180,180,45,60,60,180,180,60,180,90,90,
90,90,180,90,90,180,90,90,180,90,90,180,180,180,180,180,180,180,180,180,180,
180,180,96,10,20,80,120,60,120,120,240,240,64,1,10,30,15,45,90,90,90,90,15,15,
30,90,30,45,45,90,90,45,45,45,45,90,180,90,90,90,90,90,180,90,90,180,180,180,
180,180,180,6,10,30,30,120,60,60,120,15,30,90,45,45,90,6,18,18,5,10,20,30,30,
60,5,6,18,18,10,15,6,5,1,3,1],[1,66,85,160,80,15,35,60,60,225,180,340,240,96,
160,160,160,10,15,45,20,45,60,30,60,20,120,60,120,60,60,120,60,240,60,120,150,
60,60,90,30,300,120,120,360,60,120,96,96,96,320,80,120,160,160,160,1,5,15,15,
15,10,75,30,30,15,30,60,15,15,30,30,15,30,60,60,60,45,15,60,30,60,30,30,60,30,
30,60,60,60,60,30,15,60,30,30,60,30,30,60,60,60,120,120,60,60,60,60,60,192,96,
120,40,80,40,80,80,160,1,15,15,30,15,20,15,15,30,15,30,30,5,15,30,15,30,15,30,
30,30,10,30,15,30,30,30,30,45,15,15,30,60,30,30,30,60,30,60,60,60,30,60,30,30,
30,30,30,60,60,96,10,20,60,40,80,40,40,80,64,5,15,10,15,15,15,15,30,15,15,30,
30,15,15,15,30,30,30,30,30,30,30,30,30,30,6,10,10,10,20,20,40,40,5,15,15,15,
15,15,15,6,6,6,5,10,10,10,20,20,15,6,12,5,10,6,5,1,1,1],[1,66,85,160,80,35,15,
60,60,225,180,340,240,96,160,160,160,15,10,45,20,45,60,30,60,120,20,60,60,120,
120,60,240,60,60,120,60,150,90,60,30,300,120,120,360,60,120,96,96,96,320,80,
120,160,160,160,1,5,15,15,15,10,75,30,30,15,60,30,15,30,15,15,30,30,60,60,60,
45,15,60,60,30,30,30,30,60,60,30,60,60,60,30,15,60,30,30,60,30,60,30,60,60,
120,120,60,60,60,60,60,192,96,120,40,80,40,80,80,160,1,15,15,30,15,20,15,15,
30,15,30,30,5,15,30,15,30,15,30,30,30,10,30,30,15,30,30,30,45,15,15,30,60,30,
30,30,60,60,30,60,60,30,60,30,30,30,30,30,60,60,96,10,20,60,40,80,40,40,80,64,
5,15,10,15,15,15,15,30,15,15,30,30,15,15,15,30,30,30,30,30,30,30,30,30,30,6,
10,10,10,20,20,40,40,5,15,15,15,15,15,15,6,6,6,5,10,10,10,20,20,15,6,12,5,10,
6,5,1,1,1],[1,66,165,160,80,55,35,540,60,225,420,240,60,240,96,160,480,480,70,
15,45,80,80,45,60,90,300,20,120,60,120,60,60,360,60,480,60,360,480,120,30,120,
90,90,60,360,120,360,120,60,120,120,96,96,96,320,80,120,160,480,480,1,10,5,15,
45,15,15,60,90,30,45,30,30,15,15,15,30,60,120,45,15,60,30,60,30,30,60,60,60,
60,120,120,30,15,90,120,30,90,180,30,30,180,60,60,120,360,360,120,120,360,60,
360,60,60,60,60,120,120,120,120,192,96,120,320,40,80,80,160,40,80,80,80,160,1,
15,45,90,30,15,20,15,15,30,15,20,60,60,30,30,60,5,15,15,30,15,30,30,60,180,10,
30,15,30,30,30,60,60,45,15,15,90,30,60,30,30,120,30,30,60,30,30,60,120,60,30,
30,30,30,60,60,60,60,60,60,120,96,10,20,40,60,40,40,80,80,80,80,64,5,10,15,15,
15,15,30,15,15,30,30,30,30,30,60,30,60,15,15,15,15,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,6,10,10,20,40,10,40,20,20,20,40,40,64,15,5,15,15,15,15,15,30,
30,30,30,6,6,6,5,10,10,10,20,20,20,20,15,6,12,5,10,10,6,5,1,1,2,1],[1,66,165,
160,80,35,55,60,540,225,420,240,60,240,96,160,480,480,15,70,45,80,80,45,60,90,
300,120,20,60,60,120,360,60,480,60,360,60,480,120,30,90,120,90,60,120,360,360,
120,120,60,120,96,96,96,320,80,120,160,480,480,1,10,5,15,45,15,15,60,30,90,45,
30,15,30,15,15,30,60,120,45,15,60,30,60,30,30,60,60,60,60,120,120,30,90,15,
120,30,90,180,30,180,30,60,60,120,360,360,120,120,60,360,60,360,60,60,60,120,
120,120,120,192,96,120,320,40,80,80,160,40,80,80,80,160,1,15,45,90,30,15,20,
15,15,30,15,20,60,60,30,30,60,5,15,15,30,15,30,30,60,180,10,30,15,30,30,30,60,
60,45,15,90,15,30,60,30,30,120,30,30,60,30,30,60,120,60,30,30,30,30,60,60,60,
60,60,60,120,96,10,20,40,60,40,40,80,80,80,80,64,5,10,15,15,15,15,30,15,15,30,
30,30,30,30,60,30,60,15,15,15,15,30,30,30,30,30,30,30,30,30,30,30,30,30,30,6,
10,10,20,40,10,40,20,20,20,40,40,64,15,5,15,15,15,15,15,30,30,30,30,6,6,6,5,
10,10,10,20,20,20,20,15,6,12,5,10,10,6,5,1,1,2,1],[1,38,105,64,6,45,45,180,
180,285,510,240,300,60,16,320,45,15,45,35,90,30,130,165,270,150,360,160,360,
240,60,60,60,60,120,120,120,120,240,150,30,30,30,30,30,240,360,240,240,16,48,
48,96,240,320,64,6,15,45,15,15,135,60,180,60,270,60,15,60,15,60,60,60,60,30,
30,90,30,60,60,60,60,240,240,30,30,30,30,30,30,30,30,60,60,60,60,60,60,60,60,
240,240,240,240,120,120,120,16,96,96,48,48,80,160,160,64,18,45,5,15,15,15,15,
60,60,60,60,120,10,10,30,30,30,30,30,30,60,60,30,30,30,30,60,60,120,15,60,60,
60,60,60,60,60,60,60,120,16,48,48,24,60,80,160,16,64,1,30,30,30,30,30,15,15,
30,15,15,30,30,30,60,60,60,60,1,48,20,40,40,16,5,15,15,30,30,1,3,3,1,20,40,4,
16,15,1,3,3,6,6,5,4,1,3,3,5,1,4,3,1,1],[1,38,105,64,6,45,45,180,180,285,510,
240,300,60,16,320,15,45,35,45,30,90,130,165,150,270,160,360,240,360,60,60,60,
60,120,120,120,120,240,30,150,30,30,30,30,240,360,240,240,16,48,48,96,240,320,
64,6,15,15,45,135,15,180,60,270,60,60,15,60,15,60,60,60,60,30,30,90,30,60,60,
60,60,240,240,30,30,30,30,30,30,30,30,60,60,60,60,60,60,60,60,240,240,240,240,
120,120,120,16,96,96,48,48,80,160,160,64,18,5,45,15,15,15,15,60,60,60,60,120,
10,10,30,30,30,30,30,30,60,60,30,30,30,30,60,60,120,15,60,60,60,60,60,60,60,
60,60,120,16,48,48,24,60,80,160,16,64,1,30,30,30,30,30,15,15,30,15,15,30,30,
30,60,60,60,60,1,48,20,40,40,16,5,15,15,30,30,1,3,3,1,20,40,4,16,15,1,3,3,6,6,
5,4,1,3,3,5,1,4,3,1,1],[1,72,147,28,228,3,148,7,7,126,126,315,441,192,84,126,
4,84,196,756,252,84,8,21,21,63,147,63,63,42,42,126,126,66,21,189,63,63,126,
126,126,126,882,252,63,63,63,252,252,112,1,392,7,7,56,56,84,28,28,28,84,252,
84,84,252,84,84,84,84,84,72,7,7,21,21,21,21,21,63,63,63,63,63,63,189,63,63,63,
63,63,63,63,63,63,63,189,189,189,126,126,126,126,112,112,112,8,64,32,1,7,7,21,
21,21,504,42,42,168,168,21,21,21,42,42,84,28,28,28,84,84,84,84,84,84,84,84,84,
84,24,8,24,21,21,21,63,63,63,63,63,63,63,63,63,63,63,63,28,28,28,112,72,32,14,
14,7,7,7,7,21,21,21,21,21,21,21,21,21,21,21,42,42,42,42,21,21,21,21,21,21,84,
84,24,32,63,28,28,28,28,28,28,28,28,28,24,8,8,16,24,42,42,7,7,7,7,21,21,21,21,
21,21,21,21,21,21,21,21,21,21,21,21,21,32,7,7,28,28,28,1,8,24,21,21,21,8,7,7,
7,7,7,7,3,6,4,8,7,7,1,3,3,4,3,1,1],[1,255,136,85,510,136,680,255,408,340,136,
17,120,136,120,17,68,17,17,1],[1,255,136,85,510,136,680,255,408,340,136,17,
120,136,120,17,68,17,17,1],[1,174,81,256,10,432,57,57,180,180,621,522,432,396,
36,1536,768,45,45,81,81,90,90,174,261,396,270,270,360,360,360,360,432,36,540,
612,612,72,72,72,72,1584,144,126,126,18,18,18,90,468,792,144,72,144,256,288,
336,336,256,768,768,6,6,18,18,29,45,45,135,135,180,180,270,270,54,54,9,72,72,
36,9,36,36,36,18,36,36,72,108,108,18,18,18,18,126,126,18,18,216,216,36,36,36,
36,396,72,432,432,792,108,108,18,18,18,18,126,126,90,18,18,36,36,36,36,36,36,
36,288,288,108,396,432,432,792,144,144,144,144,72,144,144,72,72,72,72,256,480,
480,1344,144,144,288,288,480,768,18,18,45,45,9,54,54,9,9,9,72,72,36,36,36,36,
36,72,42,42,6,6,18,18,18,18,18,18,18,18,18,18,108,108,18,18,216,216,36,36,36,
36,396,36,36,432,432,36,54,54,18,18,108,108,18,18,36,36,36,36,216,216,9,72,36,
36,18,36,36,36,36,18,36,24,36,72,72,72,72,72,36,36,36,36,36,36,72,72,72,36,36,
36,36,36,36,36,36,36,36,72,256,24,24,68,68,160,144,144,144,144,480,144,144,
480,1,1,18,18,108,108,18,18,18,18,18,18,18,18,9,18,18,108,108,6,18,18,9,9,9,9,
18,18,18,18,18,18,9,9,9,9,36,36,36,36,36,36,72,18,18,18,18,18,18,18,72,18,18,
72,36,36,36,36,36,36,36,36,72,72,256,24,24,192,192,36,36,24,24,24,24,24,144,
144,480,3,3,18,18,9,18,18,9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,36,80,1,
1,12,12,36,36,36,36,24,24,24,24,24,24,24,1,9,9,9,9,9,9,80,6,6,3,3,36,36,24,9,
4,4,1,1,2,3,3,3,3,4,4,3,3,6,1,1],[1,54,153,256,10,48,93,57,540,180,441,810,48,
108,252,64,192,1152,99,45,87,45,72,126,90,222,297,36,450,270,552,360,648,360,
48,108,108,108,324,216,360,216,360,504,144,432,54,162,54,126,54,54,108,360,72,
432,72,72,256,288,336,336,256,192,192,192,192,6,6,9,3,29,63,45,135,153,180,
252,270,342,27,27,27,12,90,27,108,108,108,18,18,18,54,108,108,54,18,54,18,54,
90,54,18,18,90,36,180,36,180,108,36,36,216,216,72,72,162,126,54,54,162,54,54,
54,54,54,108,108,108,108,108,108,180,108,108,108,72,360,360,72,432,432,432,
432,216,216,216,216,256,48,48,64,288,144,240,288,480,672,64,192,18,18,51,45,
27,27,27,27,27,27,12,90,108,108,108,108,216,18,6,6,18,18,90,18,18,54,54,54,18,
90,54,18,54,18,54,54,18,72,36,180,36,108,36,36,108,72,216,18,54,27,45,54,18,
18,18,54,90,36,108,108,36,36,108,27,36,36,108,108,36,108,54,54,54,54,108,54,
54,108,54,54,108,54,54,24,108,108,108,108,108,108,108,108,108,108,36,36,36,36,
36,36,36,72,36,72,72,72,108,108,256,24,24,68,68,48,160,144,144,48,48,96,96,48,
1,1,6,18,9,45,36,18,18,54,18,54,54,18,54,18,9,9,3,27,36,18,18,54,6,18,27,27,
54,54,18,18,18,18,18,18,36,9,27,27,27,27,36,36,36,36,36,36,36,36,54,108,54,18,
18,36,54,54,54,54,108,54,54,108,108,108,108,108,108,64,64,4,36,48,24,36,60,48,
72,24,72,24,24,48,3,9,9,3,18,54,9,9,9,18,9,9,27,27,18,18,36,54,18,18,18,18,80,
1,1,12,12,24,12,12,36,12,24,24,24,1,3,3,9,9,9,9,16,3,1,9,3,4,12,3,4,4,1,1,3,2,
3,3,3,4,4,1,3,1,1],[1,54,153,256,10,48,57,93,180,540,441,810,48,108,252,64,
192,1152,45,99,45,87,72,90,126,222,297,36,270,450,360,552,360,648,48,108,108,
324,108,360,216,360,216,504,144,432,162,54,126,54,54,54,108,360,72,432,72,72,
256,288,336,336,256,192,192,192,192,6,6,9,3,29,45,63,153,135,252,180,342,270,
27,27,27,12,90,27,108,108,108,18,18,18,54,108,108,54,54,18,54,18,90,18,54,90,
18,36,180,180,36,36,108,36,216,216,72,72,162,126,54,54,54,162,54,54,54,54,108,
108,108,108,108,180,108,108,108,108,72,360,360,72,432,432,432,432,216,216,216,
216,256,48,48,64,288,240,144,480,288,672,64,192,18,18,45,51,27,27,27,27,27,27,
12,90,108,108,108,108,216,6,18,18,6,18,18,90,54,18,54,18,54,90,18,54,18,54,54,
18,54,72,36,180,108,36,36,108,36,72,216,18,54,27,45,18,54,18,54,18,90,108,36,
36,108,36,108,27,36,36,108,108,36,108,54,54,54,54,108,54,54,108,54,54,108,54,
54,24,108,108,108,108,108,108,108,108,108,108,36,36,36,36,36,36,36,72,36,72,
72,72,108,108,256,24,24,68,68,48,160,144,144,48,48,96,96,48,1,1,6,18,9,45,36,
18,54,18,54,18,18,54,18,54,9,9,3,27,36,18,18,54,6,18,27,27,54,54,18,18,18,18,
18,18,36,27,9,27,27,27,36,36,36,36,36,36,36,36,54,108,54,18,18,36,54,54,54,54,
108,54,54,108,108,108,108,108,108,64,64,4,36,48,24,60,36,48,24,72,24,72,24,48,
9,3,9,3,18,54,9,9,9,18,9,9,27,27,18,18,36,54,18,18,18,18,80,1,1,12,12,24,12,
12,36,12,24,24,24,1,3,3,9,9,9,9,16,3,1,3,9,4,12,3,4,4,1,1,3,2,3,3,3,4,4,1,3,1,
1],[1,30,225,64,192,6,16,33,117,156,756,225,558,144,252,468,384,1152,192,576,
21,153,21,45,144,24,18,126,114,153,12,90,306,96,504,144,360,108,36,252,108,
576,216,576,72,936,72,288,576,126,126,234,54,54,18,180,72,576,216,288,72,24,
24,144,256,16,128,96,240,96,48,144,64,192,576,192,192,576,6,3,18,1,15,9,45,
153,9,180,36,270,36,18,9,45,9,36,18,144,27,72,36,36,6,18,6,18,6,18,18,36,108,
72,36,72,36,54,36,18,90,18,108,54,18,126,18,36,108,252,216,36,36,36,36,432,
432,72,72,144,144,108,54,234,18,54,18,54,126,18,18,54,54,36,36,108,72,108,288,
36,36,36,36,72,576,72,576,72,144,288,288,144,72,72,216,72,72,216,72,72,72,144,
144,144,144,256,96,96,384,96,288,576,576,48,48,48,144,288,96,96,96,288,576,
192,96,96,18,3,45,18,9,9,9,9,27,9,18,144,36,72,36,36,72,6,6,6,18,108,36,18,36,
54,54,126,18,18,18,18,18,18,144,36,36,216,36,36,36,36,36,432,18,6,18,18,27,54,
9,18,18,18,18,18,108,36,36,36,72,216,9,12,12,36,108,36,36,12,36,18,18,18,54,
54,18,36,36,18,18,18,36,36,36,36,18,18,18,18,36,18,54,18,72,36,108,36,36,36,
36,36,72,36,36,72,36,36,36,36,36,72,36,36,36,36,36,36,36,108,36,72,36,36,72,
72,72,36,36,36,36,36,36,36,36,72,72,72,72,72,72,72,72,72,144,64,192,24,60,12,
8,16,16,96,144,48,24,48,48,144,48,96,288,48,48,144,48,288,96,96,96,96,96,1,2,
6,3,54,9,72,18,18,18,18,18,3,9,3,54,72,18,6,18,6,27,9,18,18,18,18,18,27,9,18,
18,18,18,18,18,36,9,9,9,9,9,36,36,36,36,36,36,36,36,36,36,36,36,18,36,18,18,
18,36,18,18,18,18,18,18,36,18,36,36,18,18,18,18,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,64,192,72,
96,72,48,12,12,12,36,24,24,24,24,48,48,48,144,288,48,48,96,3,18,9,9,18,6,18,
18,9,9,9,9,9,9,9,18,9,18,18,36,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,
36,36,36,36,36,36,36,16,48,1,2,12,8,24,8,8,36,12,12,12,36,12,12,12,12,12,12,
24,24,24,24,24,24,24,24,1,9,9,9,9,9,9,18,18,18,18,16,48,6,3,6,36,12,12,12,12,
24,24,24,24,24,9,4,8,1,1,2,3,3,6,6,4,8,3,3,6,1,1],[1,30,225,64,192,6,16,117,
33,756,156,225,558,144,252,468,384,1152,192,576,153,21,45,21,24,144,126,18,
114,153,12,306,90,504,96,360,144,108,36,108,252,216,576,72,576,72,936,288,576,
126,126,54,234,54,18,180,576,72,216,288,24,72,24,144,256,16,128,96,240,96,144,
48,64,192,576,192,192,576,6,18,3,1,15,45,9,9,153,36,180,36,270,9,18,45,9,36,
144,18,27,36,72,36,18,6,6,6,18,18,18,108,36,36,72,72,54,36,18,36,90,108,18,18,
54,18,126,36,252,108,36,216,36,36,36,432,432,72,144,72,144,54,108,18,234,18,
54,126,54,18,18,54,54,36,108,36,108,72,36,288,36,36,36,72,72,576,72,576,288,
144,288,144,72,216,72,72,216,72,72,72,72,144,144,144,144,256,96,96,384,96,288,
576,576,48,48,144,48,288,96,96,96,288,576,192,96,96,18,45,3,9,18,9,9,27,9,9,
144,18,72,36,36,36,72,6,6,6,108,18,18,36,54,36,54,18,126,18,18,18,18,18,144,
36,36,36,216,36,36,36,36,432,6,18,18,18,27,9,54,18,18,18,18,108,18,36,36,36,
72,216,9,12,36,12,36,108,36,12,36,18,18,18,54,18,54,36,36,18,18,18,36,36,36,
36,18,18,18,18,36,18,18,54,36,72,108,36,36,36,36,72,36,36,36,72,36,36,36,36,
36,36,72,36,36,36,36,36,36,108,36,72,36,36,72,72,72,36,36,36,36,36,36,36,36,
72,72,72,72,72,72,72,72,72,144,64,192,24,60,12,8,16,16,96,144,48,24,48,48,144,
48,96,288,48,144,48,48,288,96,96,96,96,96,1,2,6,3,9,54,72,18,18,18,18,18,3,3,
9,54,72,18,6,18,6,27,9,18,18,18,18,18,27,9,18,18,18,18,18,18,36,9,9,9,9,9,36,
36,36,36,36,36,36,36,36,36,36,36,18,36,18,18,18,36,18,18,18,18,18,36,18,18,36,
36,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,64,192,72,96,72,48,12,12,12,36,24,24,24,24,
48,48,48,144,288,48,48,96,3,18,9,9,18,6,18,18,9,9,9,9,9,9,9,18,9,18,18,36,18,
18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,16,48,1,2,12,8,
24,8,8,36,12,12,12,36,12,12,12,12,12,12,24,24,24,24,24,24,24,24,1,9,9,9,9,9,9,
18,18,18,18,16,48,6,3,6,36,12,12,12,12,24,24,24,24,24,9,4,8,1,1,2,3,3,6,6,4,8,
3,3,6,1,1],[1,102,105,64,192,6,304,33,57,156,252,621,558,144,156,108,192,64,
192,960,21,63,57,99,24,24,18,90,114,189,396,90,270,96,360,240,504,144,84,324,
396,324,144,72,144,216,144,72,720,288,162,126,54,18,18,126,324,72,72,360,288,
24,168,256,16,128,96,240,96,48,144,64,192,192,192,192,192,6,3,3,21,19,15,21,
63,135,9,180,36,270,36,21,21,63,81,63,36,36,84,18,18,9,72,36,36,6,42,42,126,6,
18,36,72,36,36,36,36,36,72,54,18,18,36,18,18,54,18,54,18,18,108,36,36,72,72,
36,36,36,108,72,72,72,216,72,216,162,126,36,18,18,54,126,126,126,162,126,18,
18,36,36,36,72,36,72,36,252,324,252,324,216,216,72,72,72,72,360,288,144,144,
288,168,504,504,72,504,72,256,16,144,192,96,48,144,48,144,96,288,96,96,96,96,
288,64,96,96,192,18,3,45,21,21,63,81,63,9,9,9,36,36,84,18,18,36,36,72,36,72,6,
18,6,6,18,18,18,18,18,18,18,18,18,18,18,36,18,18,54,18,18,24,108,36,36,36,72,
36,36,108,36,36,216,72,72,6,18,36,36,27,9,9,9,18,18,18,54,18,18,18,36,36,36,
36,108,36,9,84,12,252,36,252,252,12,36,18,18,18,18,18,18,18,18,36,36,18,18,18,
18,36,36,36,36,18,18,36,36,36,126,126,18,126,252,168,36,36,36,72,36,36,36,36,
36,36,72,36,72,72,72,72,36,36,36,36,36,36,72,72,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,72,36,36,36,36,64,192,24,60,12,8,16,16,48,96,144,48,48,48,24,48,
48,96,96,48,48,48,96,96,96,96,1,2,6,9,3,9,9,12,54,18,18,18,18,18,18,21,21,3,
63,9,9,12,54,6,18,6,9,9,9,9,18,18,18,18,18,9,9,18,18,18,18,18,18,18,18,18,18,
18,18,18,9,9,9,9,9,9,12,36,36,36,36,36,36,36,36,36,36,36,36,36,84,12,36,36,36,
36,36,18,36,18,18,18,18,18,18,18,18,18,18,36,18,36,36,72,18,18,18,18,36,36,36,
36,36,36,72,36,36,36,36,36,64,64,12,12,16,72,12,12,12,36,16,24,24,24,24,24,48,
48,48,48,96,3,3,3,9,3,9,18,18,18,18,6,18,6,18,9,9,9,9,9,18,9,9,9,9,9,9,9,9,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,16,48,1,2,12,8,24,8,8,12,12,
12,12,12,12,12,12,12,12,12,24,24,24,24,1,9,9,9,9,9,9,18,18,16,16,1,3,3,6,12,
12,12,12,24,3,4,8,1,1,2,3,3,4,1,3,1,1],[1,102,105,64,192,6,304,57,33,252,156,
621,558,144,156,108,192,64,192,960,63,21,99,57,24,24,90,18,114,189,396,270,90,
360,96,504,240,144,84,324,324,396,72,144,216,144,72,144,720,288,126,162,18,54,
18,126,324,72,72,360,288,24,168,256,16,128,96,240,96,144,48,64,192,192,192,
192,192,6,3,3,19,21,15,63,21,9,135,36,180,36,270,21,21,81,63,63,36,36,84,18,
18,9,36,72,36,6,42,42,126,6,36,18,36,72,36,36,36,36,72,18,54,18,18,36,54,18,
54,18,18,18,36,108,72,36,36,72,36,36,108,72,72,72,72,216,216,126,162,18,36,54,
18,126,126,162,126,126,18,18,36,36,36,36,72,36,72,324,252,252,324,216,216,72,
72,72,72,360,144,288,144,288,168,504,504,72,504,72,256,16,144,192,96,48,144,
144,48,288,96,96,96,96,96,288,64,96,96,192,18,45,3,21,21,63,63,81,9,9,9,36,36,
84,18,18,36,36,36,72,72,18,6,6,18,6,18,18,18,18,18,18,18,18,18,36,18,18,18,18,
54,18,24,36,108,36,36,36,72,36,108,36,36,72,216,72,6,36,18,36,9,27,9,9,18,18,
54,18,18,18,18,36,36,36,108,36,36,9,84,12,252,36,252,252,12,36,18,18,18,18,18,
18,18,18,36,36,18,18,18,18,36,36,36,36,18,18,36,36,36,126,126,18,126,252,168,
36,36,36,36,72,36,36,36,36,36,36,72,72,72,72,36,72,36,36,36,36,36,72,72,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,72,36,36,36,36,64,192,24,60,12,8,16,48,16,
96,48,144,48,48,24,48,48,96,96,48,48,48,96,96,96,96,1,2,6,3,9,9,9,12,18,54,18,
18,18,18,18,21,21,3,63,9,9,12,54,6,18,6,9,9,9,9,18,18,18,18,18,9,9,18,18,18,
18,18,18,18,18,18,18,18,18,18,9,9,9,9,9,9,12,36,36,36,36,36,36,36,36,36,36,36,
36,36,84,12,36,36,36,36,36,18,36,18,18,18,18,18,18,18,18,18,18,18,36,36,36,72,
18,18,18,18,36,36,36,36,36,36,72,36,36,36,36,36,64,64,12,12,16,72,12,12,12,36,
16,24,24,24,24,24,48,48,48,48,96,3,3,3,9,3,9,18,18,18,18,6,18,6,18,9,9,9,9,9,
18,9,9,9,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,16,48,1,
2,12,8,24,8,8,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,1,9,9,9,9,9,9,18,
18,16,16,1,3,3,6,12,12,12,12,24,3,4,8,1,1,2,3,3,4,1,3,1,1],[1,54,153,64,192,
18,16,81,141,180,588,513,1026,48,108,252,64,192,576,576,45,147,45,135,24,90,
270,342,513,12,270,810,360,1080,360,1080,48,108,108,180,108,360,216,360,216,
360,144,432,90,54,126,54,54,54,36,216,72,432,24,24,256,16,128,96,240,96,144,
48,192,64,192,192,192,192,6,18,3,1,57,45,135,405,135,540,180,810,270,9,9,27,
12,54,27,108,108,108,6,6,6,18,36,36,18,54,54,54,54,54,54,54,90,54,36,108,180,
108,108,108,36,216,216,72,72,54,90,54,54,54,90,54,54,54,54,108,108,108,108,
108,180,108,36,108,36,72,216,216,72,432,432,432,432,72,72,72,72,256,16,48,48,
48,48,48,96,96,144,48,144,48,288,288,96,288,288,64,96,96,192,18,54,45,135,9,
27,9,27,27,27,12,54,108,108,108,108,216,18,18,18,18,6,54,90,54,54,18,54,54,54,
54,54,54,54,18,54,54,72,36,108,108,108,36,108,108,72,216,6,18,9,27,54,54,18,
54,54,54,108,108,108,108,36,108,27,12,12,36,36,12,36,18,18,18,18,36,18,18,36,
18,18,36,18,18,72,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,36,72,
72,72,36,36,64,192,24,60,12,8,16,16,96,96,144,144,48,24,48,48,48,48,48,48,96,
96,96,96,48,96,96,1,3,2,6,3,27,36,18,54,54,54,54,54,54,54,54,3,3,3,27,36,18,6,
18,18,6,9,9,18,18,18,18,18,18,18,18,36,27,27,9,9,27,36,36,36,36,36,36,36,36,
18,36,18,18,18,36,18,18,18,18,36,18,18,36,36,36,36,36,36,64,64,4,12,12,12,36,
36,16,48,48,72,24,72,24,48,48,9,9,9,3,6,18,27,9,9,18,9,9,9,9,18,18,36,18,18,
18,18,18,16,48,1,2,12,12,8,24,8,8,12,12,12,12,12,12,12,12,12,12,24,24,3,1,3,9,
9,9,9,16,16,9,4,6,12,12,12,3,4,8,3,1,1,2,3,4,1,3,1,1],[1,54,153,64,192,18,16,
141,81,588,180,513,1026,48,108,252,64,192,576,576,147,45,135,45,24,270,90,342,
513,12,810,270,1080,360,1080,360,48,108,108,108,180,216,360,216,360,360,144,
432,54,90,54,126,54,54,36,216,72,432,24,24,256,16,128,96,240,96,48,144,192,64,
192,192,192,192,18,6,3,1,57,135,45,135,405,180,540,270,810,9,9,27,12,54,27,
108,108,108,6,6,6,18,36,36,18,54,54,54,54,54,54,54,54,90,36,108,108,180,108,
108,36,216,216,72,72,54,90,54,54,90,54,54,54,54,54,108,108,108,108,108,108,
180,36,108,36,72,216,216,72,432,432,432,432,72,72,72,72,256,16,48,48,48,48,48,
96,96,144,48,48,144,288,288,96,288,288,64,96,96,192,54,18,135,45,9,27,9,27,27,
27,12,54,108,108,108,108,216,18,18,18,18,6,90,54,54,54,18,54,54,54,54,54,54,
54,18,54,54,72,36,108,108,108,36,108,108,72,216,6,18,9,27,54,54,18,54,54,54,
108,108,108,108,36,108,27,12,12,36,36,12,36,18,18,18,18,36,18,18,36,18,18,36,
18,18,72,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,36,72,72,72,36,
36,64,192,24,60,12,8,16,16,96,96,144,144,48,24,48,48,48,48,48,48,96,96,96,96,
48,96,96,3,1,2,6,3,27,36,18,54,54,54,54,54,54,54,54,3,3,3,27,36,18,6,18,18,6,
9,9,18,18,18,18,18,18,18,18,36,27,27,9,9,27,36,36,36,36,36,36,36,36,18,36,18,
18,18,36,18,18,18,18,36,18,18,36,36,36,36,36,36,64,64,4,12,12,12,36,36,16,48,
48,72,24,72,24,48,48,9,9,9,3,6,18,27,9,9,18,9,9,9,9,18,18,36,18,18,18,18,18,
16,48,1,2,12,12,8,24,8,8,12,12,12,12,12,12,12,12,12,12,24,24,3,1,3,9,9,9,9,16,
16,9,4,6,12,12,12,3,4,8,3,1,1,2,3,4,1,3,1,1],[1,60,135,16,240,80,5,210,90,360,
360,270,96,160,160,960,240,720,15,30,15,60,90,180,360,270,720,45,90,270,180,
90,60,180,160,96,20,400,20,100,120,80,80,240,240,480,240,240,96,1,5,15,15,45,
45,90,90,180,45,90,180,90,180,90,180,90,180,180,160,160,160,288,120,120,720,
120,120,360,60,60,120,60,240,240,60,96,15,15,30,90,45,45,45,45,90,90,45,90,90,
80,80,160,1,10,25,20,20,20,60,60,60,60,120,60,60,60,60,60,60,64,96,5,45,45,45,
45,45,45,80,80,6,10,10,30,90,30,15,15,60,60,60,60,60,96,45,20,10,6,16,5,5,5,5,
15,15,15,30,15,6,10,10,20,10,18,16,15,15,15,15,6,5,10,1,6,5,3,1,1],[1,60,135,
16,240,80,5,210,90,360,360,270,96,160,160,960,240,720,15,30,15,60,90,180,360,
270,720,45,90,270,180,60,90,180,160,96,20,400,20,100,120,80,80,240,240,480,
240,240,96,1,5,15,15,45,45,90,90,180,45,90,180,90,180,90,180,90,180,180,160,
160,160,288,120,120,720,120,120,360,60,60,120,60,240,240,60,96,15,15,30,90,45,
45,45,45,90,90,45,90,90,80,80,160,1,10,25,20,20,20,60,60,60,60,120,60,60,60,
60,60,60,64,96,5,45,45,45,45,45,45,80,80,6,10,10,30,90,30,15,15,60,60,60,60,
60,96,45,20,10,6,16,5,5,5,5,15,15,15,30,15,6,10,10,20,10,18,16,15,15,15,15,6,
5,10,1,6,5,3,1,1],[1,147,49,441,343,1029,22,14,21,343,168,147,343,14,14,196,
196,147,98,49,147,49,294,3,2,3,98,49,3,21,49,2,21,14,21,14,14,21,21,1,14,3,1,
1,2,1,3,1,1],[1,54,297,160,96,6,117,69,1044,324,405,1134,180,540,96,96,672,
864,864,864,153,27,45,63,144,198,54,162,189,378,270,792,288,360,432,180,108,
108,324,648,864,216,864,1080,864,54,162,162,270,162,54,864,864,216,128,128,
144,72,240,48,72,96,288,96,288,288,864,864,864,288,288,6,18,15,45,27,27,189,
108,180,108,270,18,27,216,81,108,216,108,54,54,54,108,216,108,54,108,54,108,
54,54,54,162,324,108,216,108,108,432,432,108,270,54,162,162,54,54,54,162,162,
108,324,108,108,216,108,432,108,864,864,864,432,864,432,648,648,128,384,384,
384,96,72,72,72,72,144,144,576,144,288,144,72,72,144,288,144,144,432,144,96,
96,288,288,288,288,288,288,64,18,45,9,18,27,81,27,27,216,216,108,108,108,216,
18,18,108,54,54,108,108,54,162,54,54,54,54,144,216,108,108,108,108,432,54,54,
54,54,54,54,108,108,108,108,216,27,108,324,54,54,108,54,108,54,54,162,216,108,
108,216,108,108,108,216,108,108,216,216,216,108,96,96,384,24,60,6,6,48,48,72,
72,72,72,72,72,144,72,72,144,144,288,144,144,144,144,144,72,72,144,288,64,128,
1,54,72,54,54,54,54,54,27,54,72,54,54,54,54,108,27,27,27,108,108,108,108,108,
54,108,108,54,108,108,96,96,96,96,6,6,18,72,18,96,36,36,18,18,72,72,72,72,36,
72,72,72,72,72,144,72,64,9,18,54,27,27,108,54,54,24,24,96,1,6,6,18,18,18,18,
36,18,18,18,18,72,36,36,72,27,24,24,24,24,6,9,6,6,18,18,18,18,18,18,2,2,24,9,
18,2,6,6,6,1,6,1,2,1],[1,54,297,160,96,6,69,117,324,1044,405,1134,180,540,96,
96,672,864,864,864,27,153,63,45,144,54,198,162,189,270,378,288,792,432,360,
180,108,324,108,864,648,864,216,1080,864,162,54,270,162,162,54,864,864,216,
128,128,144,240,72,48,72,96,96,288,288,864,288,864,864,288,288,6,18,15,27,45,
189,27,180,108,270,108,18,27,216,81,216,108,108,54,54,54,108,216,108,108,54,
54,108,54,54,162,54,324,216,108,108,108,432,432,108,270,162,54,54,162,54,54,
162,162,108,108,324,216,108,432,108,108,864,864,432,864,864,432,648,648,128,
384,384,384,72,96,72,72,72,144,144,144,576,288,72,144,72,144,144,288,144,432,
144,96,288,96,288,288,288,288,288,64,18,9,45,18,27,27,81,27,216,108,216,108,
108,216,18,18,54,108,108,54,108,54,162,54,54,54,54,144,216,108,108,108,108,
432,54,54,54,54,54,54,108,108,108,108,216,27,108,324,54,54,108,54,108,54,54,
162,216,108,108,216,108,108,108,216,108,108,216,216,216,108,96,96,384,24,6,60,
6,48,48,72,72,72,72,72,144,72,72,72,144,288,144,144,144,144,144,144,72,72,144,
288,64,128,1,54,72,54,54,54,54,54,27,54,72,54,54,54,54,108,27,27,27,108,108,
108,108,108,54,108,108,54,108,108,96,96,96,96,6,6,72,18,18,96,36,18,36,18,72,
72,72,72,36,72,72,72,72,72,144,72,64,9,18,54,27,27,108,54,54,24,24,96,1,6,6,
18,18,18,18,18,36,18,18,18,72,36,36,72,27,24,24,24,24,6,9,6,6,18,18,18,18,18,
18,2,2,24,9,18,2,6,6,6,1,6,1,2,1],[1,198,153,160,96,6,720,69,45,324,180,1053,
702,288,324,108,96,1056,288,288,1440,288,27,45,171,81,54,90,162,189,756,270,
270,288,360,432,360,288,108,756,540,540,216,216,216,216,1728,432,162,162,54,
54,54,270,540,864,432,216,128,128,144,240,72,48,72,96,288,96,1440,864,288,288,
288,288,288,6,18,54,15,27,45,135,27,180,108,270,108,54,54,27,108,72,108,27,
108,108,108,54,108,108,216,108,54,54,54,108,54,216,108,108,108,216,216,432,
216,432,108,108,54,54,54,54,162,162,270,54,54,108,108,108,108,108,108,108,432,
432,324,324,432,648,864,432,432,432,432,216,432,432,216,128,768,384,72,216,
288,72,72,672,144,144,216,144,72,144,144,288,432,144,96,96,288,288,288,288,
288,288,64,18,9,45,27,54,54,27,27,27,108,72,108,108,108,108,108,216,18,36,18,
54,54,54,54,54,108,54,216,108,108,108,108,216,108,432,216,108,54,54,54,108,54,
108,108,108,216,27,216,108,108,54,108,108,108,108,54,108,108,216,216,216,216,
216,108,108,108,108,108,108,108,108,108,96,96,384,24,6,60,6,72,48,48,72,72,
216,144,216,72,72,72,432,144,144,144,144,72,72,144,288,64,128,1,18,108,54,54,
54,54,54,27,18,108,54,54,27,27,54,54,54,27,27,27,108,108,108,108,54,54,54,216,
54,216,96,96,96,96,24,6,6,18,18,36,144,18,36,18,72,72,72,72,36,72,72,72,72,72,
144,72,64,9,18,54,27,27,54,54,54,54,24,24,96,1,6,6,18,18,36,18,18,18,18,18,18,
36,72,36,72,27,24,24,24,24,6,9,6,6,18,18,18,18,18,18,2,2,24,9,18,2,6,6,6,1,6,
1,2,1],[1,198,153,160,96,6,720,45,69,180,324,1053,702,288,324,108,96,1056,288,
288,1440,288,45,27,81,171,90,54,162,189,756,270,270,360,288,360,432,288,108,
756,540,540,216,216,216,216,1728,432,162,162,54,54,54,270,540,864,432,216,128,
128,144,72,240,48,72,96,288,96,1440,864,288,288,288,288,288,6,54,18,15,45,27,
27,135,108,180,108,270,54,54,27,72,108,108,27,108,108,108,54,108,108,216,108,
54,54,108,54,54,108,216,108,108,216,216,216,432,432,108,108,54,54,54,54,162,
162,270,54,54,108,108,108,108,108,108,108,432,432,324,324,648,432,864,432,432,
432,432,216,432,432,216,128,768,384,72,288,216,72,72,672,144,144,144,216,72,
144,288,144,432,144,96,96,288,288,288,288,288,288,64,18,45,9,27,54,54,27,27,
27,72,108,108,108,108,108,108,216,36,18,18,54,54,54,54,54,108,54,108,216,108,
108,108,216,108,216,432,108,54,54,108,54,54,108,108,216,108,27,216,108,108,54,
108,108,108,108,54,108,108,216,216,216,216,216,108,108,108,108,108,108,108,
108,108,96,96,384,24,60,6,6,72,48,48,72,72,144,216,216,72,72,72,432,144,144,
144,144,72,72,144,288,64,128,1,18,54,108,54,54,54,54,27,18,108,54,54,27,27,54,
54,54,27,27,27,108,108,108,108,54,54,54,216,54,216,96,96,96,96,6,24,6,18,18,
144,36,36,18,18,72,72,72,36,72,72,72,72,72,72,144,72,64,9,18,54,27,27,54,54,
54,54,24,24,96,1,6,6,18,18,18,36,18,18,18,18,18,72,36,36,72,27,24,24,24,24,6,
9,6,6,18,18,18,18,18,18,2,2,24,9,18,2,6,6,6,1,6,1,2,1],[1,54,153,160,96,6,45,
69,180,324,405,702,144,108,540,96,96,288,288,864,288,45,27,45,63,90,54,162,
189,270,270,360,288,360,432,108,108,108,108,216,216,216,216,432,54,54,270,54,
54,54,432,216,432,128,128,144,72,240,48,72,96,96,288,288,288,288,576,6,15,45,
27,27,135,108,180,108,270,27,36,108,27,108,108,108,54,54,108,54,162,108,108,
108,108,216,216,54,54,54,54,54,54,54,54,108,108,108,108,108,108,108,108,432,
432,432,432,384,384,72,72,72,72,144,144,144,72,72,144,288,144,432,144,96,96,
64,18,45,9,27,27,27,27,108,108,108,108,216,18,18,54,54,54,54,54,54,108,108,54,
54,54,54,108,108,108,27,108,108,108,108,216,216,96,96,24,60,6,6,48,48,72,72,
72,72,72,72,144,144,144,144,144,64,1,54,54,54,54,9,27,54,54,54,54,27,27,96,96,
6,6,18,18,36,18,18,72,72,72,72,64,9,27,27,24,24,1,6,6,18,18,18,18,36,9,24,24,
9,6,6,2,2,9,6,6,1,1,1],[1,54,153,160,96,6,69,45,324,180,405,702,144,108,540,
96,96,288,288,864,288,27,45,63,45,54,90,162,189,270,270,288,360,432,360,108,
108,108,108,216,216,216,216,432,54,54,54,270,54,54,432,216,432,128,128,144,
240,72,48,72,96,96,288,288,288,288,576,6,15,27,45,135,27,180,108,270,108,27,
36,108,27,108,108,108,54,54,108,54,162,108,108,108,108,216,216,54,54,54,54,54,
54,54,54,108,108,108,108,108,108,108,108,432,432,432,432,384,384,72,72,72,72,
144,144,72,144,72,144,144,288,432,144,96,96,64,18,9,45,27,27,27,27,108,108,
108,108,216,18,18,54,54,54,54,54,54,108,108,54,54,54,54,108,108,108,27,108,
108,108,108,216,216,96,96,24,6,60,6,48,48,72,72,72,72,72,72,144,144,144,144,
144,64,1,54,54,54,54,9,27,54,54,54,54,27,27,96,96,6,6,18,18,18,36,18,72,72,72,
72,64,9,27,27,24,24,1,6,6,18,18,18,18,36,9,24,24,9,6,6,2,2,9,6,6,1,1,1],[1,90,
225,220,10,75,75,675,450,450,156,220,900,900,75,150,225,450,450,225,100,84,
900,540,210,300,300,100,900,300,120,25,225,225,100,400,60,360,540,180,300,300,
150,100,36,120,120,120,75,100,100,200,60,25,25,50,36,144,2,60,60,60,120,100,
100,25,75,72,36,60,30,60,60,25,20,36,10,25,12,20,12,10,1,1],[1,90,225,220,10,
75,75,675,450,450,156,220,900,900,75,150,225,450,450,225,100,84,900,540,210,
300,300,100,900,300,120,25,225,225,100,400,60,360,540,180,300,300,150,100,36,
120,120,120,75,100,100,200,60,25,25,50,36,144,2,60,60,60,120,100,100,25,75,72,
36,60,30,60,60,25,20,36,10,25,12,20,12,10,1,1],[1,130,225,220,10,300,75,75,
675,450,300,450,156,820,900,700,150,225,225,300,450,450,900,225,450,100,12,
900,180,210,300,300,100,300,500,1500,300,300,300,120,25,225,450,225,450,100,
100,100,400,60,120,1080,180,180,300,300,700,150,100,300,300,300,300,300,300,
36,120,120,120,225,100,100,200,200,200,60,180,180,25,25,50,150,150,300,36,72,
2,60,60,60,120,120,120,100,100,100,100,180,75,75,150,36,36,36,20,60,60,30,60,
120,25,100,20,36,10,30,30,60,25,12,20,20,20,30,12,10,20,12,10,1,1],[1,105,106,
420,35,105,315,126,420,210,420,120,315,35,140,126,105,210,210,105,140,105,105,
105,315,126,105,210,420,126,240,120,120,105,210,105,105,315,70,126,35,35,70,
105,105,105,70,21,42,126,120,105,210,105,105,35,70,21,30,21,42,35,21,30,7,1],[
1,78,305,160,6,80,85,105,660,780,585,1230,240,460,420,96,160,800,800,105,105,
45,105,120,80,150,90,210,225,60,330,450,600,480,360,720,220,180,540,300,600,
720,360,720,360,600,480,1440,390,150,150,210,150,90,420,480,360,360,960,120,
120,120,240,96,288,288,320,80,120,160,160,480,480,800,160,160,6,10,15,5,15,45,
45,45,165,180,180,180,270,45,10,105,45,60,120,90,75,180,240,180,30,30,30,30,
30,30,90,300,60,180,120,120,150,60,90,60,210,60,90,30,150,90,90,60,180,300,
180,120,60,180,60,240,240,120,240,120,240,270,60,90,150,90,150,150,270,90,90,
150,150,180,300,180,300,240,180,360,180,180,180,120,360,480,360,480,960,720,
960,720,360,360,360,360,360,360,120,120,120,240,240,240,240,96,192,192,288,
288,120,320,120,240,80,160,120,240,80,240,160,160,160,160,160,160,160,18,45,
15,45,10,45,45,75,45,45,120,90,240,180,180,180,360,30,30,30,60,90,90,60,150,
60,150,90,90,90,90,90,30,90,80,60,60,180,120,180,60,180,60,240,30,30,30,90,75,
45,30,30,90,30,90,60,90,180,60,180,120,120,45,60,60,60,180,180,180,60,180,90,
90,30,150,30,150,60,180,90,30,90,180,60,60,60,30,90,30,90,180,90,90,90,180,
120,300,180,60,60,180,120,180,180,60,120,180,180,60,180,60,180,120,60,60,60,
60,60,60,180,60,120,60,60,120,120,120,180,180,60,60,60,60,60,60,120,120,120,
120,120,120,120,120,120,240,96,96,96,10,20,80,120,40,60,120,40,120,80,80,240,
80,240,40,40,80,160,64,1,10,30,15,45,30,40,90,90,30,90,90,15,15,15,30,40,30,
30,90,30,75,45,90,30,30,30,90,45,15,30,30,30,30,30,30,60,45,45,15,45,45,60,60,
60,60,60,60,60,60,60,60,60,60,90,180,90,30,30,60,30,90,90,30,30,60,90,90,180,
60,90,30,90,30,180,60,180,60,180,180,60,60,60,60,180,180,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,6,96,10,30,20,40,30,40,120,20,60,60,40,
40,40,40,80,40,120,40,64,15,10,15,15,30,30,90,30,15,15,15,45,45,15,15,30,15,
30,30,60,30,30,90,30,30,30,30,30,30,30,30,30,30,60,60,60,60,60,60,60,60,60,6,
18,18,5,10,20,30,30,10,10,10,10,20,20,20,20,20,60,20,40,5,15,15,15,15,15,15,
30,30,30,30,6,18,18,12,12,10,15,10,10,10,10,10,10,10,20,20,15,6,6,6,5,5,5,10,
1,6,5,3,2,1,1,1,1],[1,78,305,160,6,80,105,85,780,660,585,1230,240,460,420,96,
160,800,800,105,105,105,45,80,120,90,150,210,225,60,450,330,480,600,720,360,
220,180,300,540,720,600,720,360,600,360,480,1440,150,390,210,150,150,90,420,
360,480,360,960,120,120,120,240,96,288,288,320,80,120,160,160,480,480,800,160,
160,6,15,10,5,15,45,45,165,45,180,180,270,180,10,45,105,45,60,90,120,75,240,
180,180,30,30,30,30,30,90,30,60,300,120,180,120,60,150,60,90,210,90,60,150,30,
90,90,60,300,180,120,180,180,60,60,240,240,120,120,240,240,60,270,150,90,150,
90,270,150,90,90,150,150,180,180,300,240,300,360,180,180,180,180,120,480,360,
480,360,720,960,960,720,360,360,360,360,360,360,120,120,120,240,240,240,240,
96,192,192,288,288,120,320,120,240,80,160,120,240,80,240,160,160,160,160,160,
160,160,18,15,45,10,45,45,45,45,75,45,90,120,180,240,180,180,360,30,30,30,90,
60,60,90,60,150,150,90,90,90,90,30,90,90,80,60,60,120,180,60,180,60,180,240,
30,30,90,30,75,30,45,90,30,30,90,90,60,180,180,60,120,120,45,60,60,60,180,180,
180,60,180,90,30,90,150,150,30,180,60,90,90,30,60,180,60,60,90,30,90,30,180,
90,90,90,120,180,300,60,180,180,60,180,120,60,180,120,180,60,180,60,180,120,
180,60,60,60,60,60,60,180,60,120,60,60,120,120,120,180,60,180,60,60,60,60,60,
120,120,120,120,120,120,120,120,120,240,96,96,96,10,20,80,120,40,60,120,40,
120,80,80,240,80,240,40,40,80,160,64,1,10,30,15,30,45,40,90,90,90,30,90,15,15,
15,30,40,30,30,90,30,75,45,30,90,30,90,30,45,15,30,30,30,30,30,30,60,45,45,45,
15,45,60,60,60,60,60,60,60,60,60,60,60,60,90,180,90,30,30,60,90,30,90,30,30,
90,60,90,60,180,90,90,30,30,60,180,180,180,60,180,60,60,60,60,180,180,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,6,96,10,30,20,40,30,40,
120,20,60,60,40,40,40,40,80,40,120,40,64,15,10,15,15,30,30,90,30,15,15,45,15,
45,15,15,30,15,30,30,60,30,30,90,30,30,30,30,30,30,30,30,30,30,60,60,60,60,60,
60,60,60,60,6,18,18,5,10,20,30,30,10,10,10,10,20,20,20,20,20,60,20,40,5,15,15,
15,15,15,15,30,30,30,30,6,18,18,12,12,10,15,10,10,10,10,10,10,10,20,20,15,6,6,
6,5,5,5,10,1,6,5,3,2,1,1,1,1],[1,158,225,160,26,400,225,105,900,180,1125,1530,
400,540,180,96,480,480,800,225,45,285,65,450,90,510,765,420,1350,270,1800,360,
1800,360,400,180,780,660,900,360,360,360,360,1680,720,150,270,90,90,90,210,
540,840,720,120,240,96,288,288,160,240,120,160,160,480,800,480,160,160,30,6,
10,30,85,225,45,135,675,180,900,270,1350,90,30,45,120,40,60,45,180,180,180,30,
60,60,120,60,180,90,90,90,90,270,150,90,90,120,360,180,180,180,180,420,120,
240,720,840,60,180,90,90,90,90,270,150,150,90,90,180,180,180,180,180,180,180,
480,240,300,420,240,720,840,720,720,720,720,120,240,240,120,120,120,120,96,
192,192,288,288,120,200,160,320,240,200,240,240,480,480,160,160,160,160,160,
160,160,90,18,225,45,45,30,90,45,45,45,120,40,60,180,180,180,180,360,90,50,30,
30,90,90,90,90,90,90,90,90,90,90,60,180,90,90,120,360,60,60,180,180,420,180,
180,240,720,60,30,90,90,90,180,60,90,90,180,180,180,180,360,120,45,120,60,60,
30,60,60,60,60,30,60,120,60,120,120,120,120,120,60,60,60,60,60,60,120,120,120,
60,60,60,60,60,60,60,60,60,60,120,96,96,96,10,20,40,160,120,240,120,80,200,
120,160,240,240,40,80,40,160,160,16,48,5,1,10,30,60,180,90,90,90,90,90,90,90,
90,15,30,10,180,60,30,30,30,15,15,15,15,30,30,30,30,30,30,45,45,15,45,60,60,
60,60,60,60,120,30,30,30,30,30,30,30,120,30,30,120,60,60,60,60,60,60,60,60,
120,120,6,96,10,30,20,40,30,60,40,120,20,60,40,40,40,80,40,160,40,32,32,48,48,
96,15,15,30,10,45,30,30,15,15,15,15,30,30,30,30,30,30,30,30,30,30,30,30,60,6,
18,18,20,10,20,10,30,30,10,10,20,10,60,20,20,20,20,40,16,48,16,16,16,16,5,15,
15,15,15,15,15,6,18,18,12,12,10,10,10,10,20,10,10,10,20,16,16,15,6,6,6,5,10,6,
5,1,1],[1,158,225,160,26,400,105,225,180,900,1125,1530,400,540,180,96,480,480,
800,45,225,65,285,90,450,510,765,420,270,1350,360,1800,360,1800,400,180,780,
900,660,360,360,360,360,1680,720,270,150,90,90,90,210,540,840,720,120,240,96,
288,288,160,120,240,160,160,480,800,480,160,160,6,30,30,10,85,45,225,675,135,
900,180,1350,270,30,90,45,40,120,60,45,180,180,180,30,60,60,120,180,60,90,90,
90,90,150,270,90,90,360,120,180,180,180,180,420,120,720,240,840,180,60,90,90,
90,90,150,270,150,90,90,180,180,180,180,180,180,180,240,480,300,420,720,240,
840,720,720,720,720,120,240,240,120,120,120,120,96,192,192,288,288,120,160,
200,320,240,240,200,480,240,480,160,160,160,160,160,160,160,18,90,45,225,45,
90,30,45,45,45,40,120,60,180,180,180,180,360,50,90,30,30,90,90,90,90,90,90,90,
90,90,90,180,60,90,90,360,120,60,60,180,180,420,180,180,720,240,60,90,30,90,
90,60,180,90,90,180,180,180,180,120,360,45,120,60,60,30,60,60,60,60,30,60,120,
60,120,120,120,120,120,60,60,60,60,60,60,120,120,120,60,60,60,60,60,60,60,60,
60,60,120,96,96,96,20,10,40,160,240,120,80,120,200,120,160,240,240,40,40,80,
160,160,16,48,1,5,30,10,180,60,90,90,90,90,90,90,90,90,15,10,30,60,180,30,30,
30,15,15,15,15,30,30,30,30,30,30,45,45,15,45,60,60,60,60,60,60,120,30,30,30,
30,30,30,30,120,30,30,120,60,60,60,60,60,60,60,60,120,120,6,96,10,30,40,20,60,
30,40,120,20,60,40,40,40,40,80,160,40,32,32,48,48,96,15,15,10,30,45,30,30,15,
15,15,15,30,30,30,30,30,30,30,30,30,30,30,30,60,6,18,18,10,20,10,20,30,30,10,
20,10,10,60,20,20,20,20,40,16,48,16,16,16,16,5,15,15,15,15,15,15,6,18,18,12,
12,10,10,10,20,10,10,10,10,20,16,16,15,6,6,6,5,10,6,5,1,1],[1,68,255,136,85,
510,510,510,136,136,680,680,85,255,1020,255,136,408,408,340,680,136,17,255,
255,120,408,340,136,136,136,85,120,17,68,136,120,17,85,68,17,17,17,1,1],[1,68,
255,136,85,510,510,510,136,136,680,680,85,255,1020,255,136,408,408,340,680,
136,17,255,255,120,408,340,136,136,136,85,120,17,68,136,120,17,85,68,17,17,17,
1,1],[1,126,321,64,192,18,304,165,141,1116,588,1197,1890,336,444,756,64,192,
448,1344,576,960,171,147,171,171,24,168,198,270,486,621,396,810,810,936,1080,
1224,1176,336,300,612,756,1044,792,936,792,1224,360,1224,1872,1584,306,450,
234,306,162,234,612,936,216,936,1584,24,216,312,144,256,16,128,96,240,96,144,
48,192,64,192,192,192,576,192,960,576,576,192,576,192,192,6,18,21,3,19,21,57,
99,147,405,189,540,396,810,486,21,75,117,99,117,108,84,84,234,54,81,396,324,
324,54,6,78,42,126,6,54,162,90,180,324,108,108,108,324,216,126,162,54,162,126,
162,234,126,162,162,90,234,252,180,468,180,252,468,324,180,324,504,216,504,
216,216,504,360,648,198,450,90,306,162,234,450,234,234,306,126,162,162,324,
324,324,396,324,396,468,468,396,468,612,504,648,216,936,216,936,936,1584,1296,
1296,1584,168,504,936,648,72,936,648,72,72,72,72,144,144,144,144,256,256,256,
16,112,144,48,48,144,384,48,48,192,96,96,96,288,672,576,144,144,144,48,288,96,
288,96,96,288,288,192,64,192,64,192,576,192,192,96,96,192,192,192,192,192,192,
18,54,63,135,21,75,117,99,117,81,81,81,108,84,84,234,54,324,324,396,324,648,
54,54,18,54,54,42,234,90,54,162,54,162,162,90,54,234,162,126,162,90,126,162,
162,54,72,168,252,180,108,108,180,468,108,324,324,180,324,504,360,216,504,6,
54,162,90,108,63,81,27,117,162,90,90,126,54,162,234,54,180,324,324,108,180,
252,108,252,81,156,108,12,252,36,324,468,252,108,12,324,36,54,162,18,162,54,
54,162,162,54,324,108,54,162,162,54,36,324,108,108,108,162,18,162,18,324,108,
108,126,234,18,162,126,252,72,168,108,108,324,180,324,108,324,324,108,324,36,
180,324,216,216,216,180,324,108,324,108,324,36,324,216,216,180,180,180,108,
180,108,108,36,108,36,108,108,108,180,108,36,108,36,72,216,180,108,216,216,72,
216,216,72,324,108,36,324,108,36,36,36,36,36,72,72,72,72,72,72,72,72,72,144,
64,192,256,24,60,12,8,16,48,16,96,96,144,48,144,48,48,24,48,144,144,48,48,144,
48,144,48,144,48,48,96,96,96,288,288,288,96,96,96,96,96,96,48,48,48,48,48,144,
48,48,288,96,96,96,96,96,96,96,192,192,1,3,18,2,6,54,21,27,27,117,84,36,126,
90,90,162,54,162,162,54,162,54,39,21,3,27,63,9,21,63,27,84,36,54,126,6,54,18,
162,18,6,54,27,81,27,81,18,162,54,54,162,54,27,9,9,27,54,54,54,90,54,90,54,18,
54,54,54,54,18,54,54,90,54,54,108,36,27,81,81,27,27,81,9,81,36,12,108,36,108,
108,108,36,180,108,180,180,108,108,180,36,108,108,36,36,108,108,108,108,84,12,
36,108,108,108,108,36,108,162,18,324,36,162,18,18,54,54,54,54,54,18,54,36,108,
162,18,54,162,54,18,18,162,18,90,162,108,324,216,162,54,162,18,54,18,36,324,
108,324,324,36,108,324,216,108,108,108,36,36,36,36,324,36,36,324,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,36,36,36,36,36,36,36,
36,36,72,36,72,72,64,192,64,64,64,64,12,4,84,12,112,72,72,48,12,12,36,36,16,
48,16,48,48,48,48,144,72,24,24,72,24,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,144,96,288,48,48,48,48,48,48,96,96,3,9,27,9,21,9,21,9,3,9,27,54,54,54,
54,6,18,18,54,54,6,18,162,27,27,27,27,27,27,27,27,18,54,18,54,27,27,27,9,9,27,
81,9,27,81,27,27,9,9,27,18,54,54,18,18,54,9,54,18,54,54,54,18,54,54,36,108,18,
18,162,18,18,18,18,18,18,54,54,54,54,18,18,18,54,90,54,54,54,18,18,18,18,18,
18,54,18,18,18,18,36,36,36,36,36,36,108,36,36,36,36,36,36,36,36,36,108,36,36,
36,36,16,48,64,64,1,2,12,12,8,24,8,8,12,12,12,36,36,36,12,12,12,36,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,72,24,24,72,24,24,24,24,24,48,
48,48,48,3,9,1,9,3,27,27,27,9,9,27,27,9,27,9,9,27,27,9,9,9,9,27,9,9,9,9,27,9,
9,9,9,9,9,9,18,18,18,18,18,18,18,18,54,18,54,18,16,16,16,48,16,16,7,3,9,12,4,
6,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,24,24,24,24,24,24,3,9,3,9,9,9,9,9,9,9,9,9,9,9,9,4,8,16,16,3,1,1,2,9,9,3,
3,3,6,6,12,12,12,12,9,4,4,4,8,3,1,1,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,126,
321,64,192,18,304,141,165,588,1116,1197,1890,336,444,756,64,192,448,1344,576,
960,147,171,171,171,168,24,270,198,486,621,396,810,810,1080,936,1176,1224,336,
300,612,1044,756,936,792,1224,792,1224,360,1872,1584,450,306,306,234,162,234,
612,216,936,936,1584,216,24,312,144,256,16,128,96,240,96,48,144,192,64,192,
192,192,576,960,192,576,576,192,576,192,192,18,6,3,21,21,19,57,147,99,189,405,
396,540,486,810,75,21,99,117,117,84,108,84,54,234,81,324,396,324,6,54,42,78,
126,54,6,90,162,324,180,108,108,324,108,216,162,126,162,54,162,126,126,234,
162,162,234,90,180,252,180,468,468,252,180,324,324,216,504,216,504,216,360,
504,648,450,198,306,90,234,162,234,450,306,234,126,162,162,324,324,324,324,
396,468,396,396,468,468,612,648,504,936,216,936,216,936,1296,1584,1296,1584,
168,936,504,72,648,936,72,648,72,72,72,144,144,144,144,256,256,256,16,112,144,
48,48,144,384,48,48,192,96,96,288,96,672,576,144,144,48,144,96,288,288,96,96,
288,288,192,192,64,64,192,192,576,192,96,96,192,192,192,192,192,192,54,18,135,
63,75,21,117,117,99,81,81,81,84,108,84,54,234,324,324,324,396,648,54,54,54,18,
42,54,90,234,162,54,162,54,90,162,234,54,126,162,90,162,162,126,54,162,168,72,
180,252,108,108,468,180,324,108,324,324,180,360,504,504,216,54,6,90,162,108,
81,63,117,27,90,162,126,90,162,54,54,234,324,180,108,324,252,180,252,108,81,
156,12,108,252,324,36,252,468,12,108,36,324,162,54,162,18,54,162,54,54,162,
108,324,162,54,54,162,324,36,108,108,108,18,162,18,162,108,324,108,234,126,
162,18,126,252,72,168,108,324,108,324,180,324,108,108,324,36,324,324,180,216,
216,216,324,180,324,108,324,108,324,36,216,216,180,180,108,180,108,180,36,108,
108,108,36,108,108,180,36,108,36,108,216,72,108,180,216,216,216,72,72,216,108,
324,324,36,108,36,36,36,36,36,72,72,72,72,72,72,72,72,72,144,64,192,256,24,60,
12,8,16,16,48,96,96,144,144,48,48,48,24,48,144,144,48,48,144,144,48,144,48,48,
48,96,96,96,288,288,288,96,96,96,96,96,96,48,48,48,48,48,48,144,48,288,96,96,
96,96,96,96,96,192,192,3,1,2,18,54,6,27,21,117,27,36,84,90,126,162,90,162,54,
54,162,54,162,21,39,27,3,63,21,9,27,63,36,84,126,54,54,6,162,18,18,54,6,81,27,
81,27,162,18,54,54,54,162,9,27,27,9,54,54,90,54,90,54,18,54,54,54,54,54,54,18,
90,54,54,54,36,108,81,27,27,81,27,9,81,81,12,36,36,108,108,108,36,108,180,180,
108,108,180,180,108,108,36,36,108,108,36,108,108,108,84,36,12,108,108,108,108,
108,36,18,162,36,324,18,162,54,18,54,54,54,54,54,18,108,36,18,162,162,54,54,
18,18,18,162,162,90,324,108,216,54,162,18,162,54,18,324,36,324,108,36,324,324,
108,216,108,108,108,36,36,36,36,36,324,324,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,72,36,36,36,36,36,36,36,36,36,72,36,72,72,
64,192,64,64,64,64,12,4,84,12,112,72,72,48,12,12,36,36,48,16,16,48,48,48,48,
144,72,24,24,72,24,48,48,48,48,48,48,48,48,48,48,48,48,48,48,144,48,96,288,48,
48,48,48,48,48,96,96,3,27,9,21,9,21,9,3,9,27,9,54,54,54,54,18,6,54,18,6,54,
162,18,27,27,27,27,27,27,27,27,54,18,54,18,27,27,9,27,27,9,9,81,27,27,81,9,27,
27,9,54,18,18,54,54,18,9,18,54,54,54,18,54,54,54,108,36,18,18,18,162,18,18,18,
18,54,18,54,54,18,54,18,18,90,54,54,54,18,54,18,18,18,18,54,18,18,18,18,18,36,
36,36,36,36,36,108,36,36,36,36,36,36,36,36,36,108,36,36,36,36,16,48,64,64,1,2,
12,12,8,24,8,8,12,12,12,36,36,36,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,24,24,24,72,24,24,72,24,24,24,24,24,48,48,48,48,3,1,9,3,9,27,
27,9,27,27,9,9,27,9,27,27,9,9,27,9,9,27,9,9,9,9,9,27,9,9,9,9,9,9,9,18,18,18,
18,18,18,18,18,18,54,18,54,16,16,16,48,16,16,7,3,9,12,4,6,12,12,12,12,12,36,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,
24,9,3,9,3,9,9,9,9,9,9,9,9,9,9,9,4,8,16,16,3,1,1,2,9,9,3,3,3,6,6,12,12,12,12,
9,4,4,4,8,3,1,1,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,222,225,256,10,816,93,93,
540,540,1557,1386,528,540,468,1664,384,1536,99,99,195,195,72,72,126,126,270,
405,1116,450,450,552,552,936,936,528,252,1044,1188,1188,504,504,792,792,504,
504,3024,1296,450,450,162,162,90,378,1044,360,360,1512,1296,72,72,504,144,256,
288,336,336,256,384,1536,1152,384,768,384,6,6,9,9,57,57,29,99,99,153,153,252,
252,342,342,63,63,225,225,189,156,156,252,90,90,45,252,252,180,18,18,126,126,
378,18,18,126,126,252,252,180,180,180,180,360,162,162,54,54,126,126,162,162,
162,162,90,90,324,324,252,252,252,252,180,180,468,216,216,216,216,360,648,648,
936,450,450,126,126,162,162,378,378,450,450,378,90,90,180,180,180,252,252,252,
252,900,900,756,1044,936,936,360,360,360,360,1512,1008,1008,720,1296,504,1512,
1512,216,216,1512,216,216,72,72,72,144,144,144,144,256,512,48,48,528,528,1472,
288,288,240,240,480,480,864,128,384,768,384,384,384,384,18,18,51,51,63,63,189,
225,225,45,45,45,156,156,252,90,90,180,180,252,252,360,54,54,18,18,54,54,90,
90,54,54,90,90,90,90,90,90,126,126,90,90,162,162,54,54,72,72,324,324,180,180,
252,252,108,108,468,180,180,648,648,216,216,18,18,126,126,180,81,81,45,45,90,
90,162,162,54,54,90,90,180,180,108,108,324,324,108,108,45,252,36,36,756,108,
108,756,756,36,36,108,108,90,90,54,54,90,90,90,90,90,180,180,90,90,90,90,108,
108,180,180,180,54,54,54,54,180,180,180,378,378,54,54,378,756,24,504,180,180,
180,252,252,180,180,180,180,108,108,252,252,360,360,360,252,252,180,180,180,
180,108,108,360,360,180,180,180,180,180,180,108,108,180,36,36,180,180,180,108,
108,36,36,72,72,180,180,216,216,72,72,72,72,180,180,108,108,180,36,36,36,36,
36,72,72,72,72,72,72,72,72,72,144,256,256,24,24,68,68,48,48,160,144,144,240,
240,144,144,48,48,864,96,96,288,288,48,48,144,144,480,384,1,1,6,6,18,18,27,27,
45,45,36,36,162,162,90,90,54,54,54,54,54,54,63,63,9,9,189,21,21,27,27,36,36,
126,126,18,18,54,54,6,18,18,45,45,45,45,54,54,90,90,90,90,27,27,27,27,90,90,
90,90,90,90,18,18,54,54,90,90,18,18,90,90,90,90,36,36,27,27,45,45,45,27,27,45,
36,36,36,36,180,180,36,36,180,180,180,180,180,180,180,36,36,108,108,36,36,180,
180,180,252,36,36,180,180,180,180,108,108,54,54,108,108,54,54,54,54,54,54,54,
54,54,54,36,36,54,54,90,90,90,18,18,54,54,126,126,180,180,360,90,90,54,54,90,
18,108,108,180,180,108,108,180,180,360,180,180,180,36,36,36,36,108,108,108,
108,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,36,
36,36,36,36,36,36,36,36,72,36,72,72,256,128,128,28,28,36,36,48,48,216,216,60,
60,48,48,48,48,72,72,72,72,24,48,48,48,48,48,48,144,144,480,48,48,9,9,9,9,9,
21,21,9,9,27,27,90,90,90,90,18,18,54,54,18,18,54,54,45,45,45,9,27,27,27,27,54,
54,18,18,27,27,27,27,9,9,27,27,45,45,45,27,27,27,27,54,54,54,54,54,54,9,54,54,
54,54,54,54,54,54,36,36,18,18,54,54,18,18,18,18,18,18,54,54,54,54,18,18,90,90,
90,90,18,18,18,18,18,18,54,54,18,18,18,18,36,36,36,36,36,36,180,36,36,36,36,
36,36,36,36,36,180,36,36,36,36,80,128,1,1,12,12,24,24,60,60,36,36,12,12,36,36,
36,36,12,12,24,24,24,72,72,24,24,72,72,24,24,48,48,1,3,3,3,3,27,27,9,9,27,27,
9,9,9,9,27,27,27,27,9,9,27,27,9,9,9,9,45,9,9,9,9,9,9,9,18,18,18,18,18,18,18,
18,54,54,54,54,16,16,80,3,3,7,7,9,9,4,4,12,12,12,12,36,36,12,12,12,12,36,36,
24,24,24,9,9,3,3,9,9,9,9,9,9,9,9,9,9,9,4,4,16,1,1,3,3,2,9,9,3,3,9,9,3,3,3,3,
12,12,9,4,4,4,4,4,4,1,1,3,3,3,3,3,3,3,3,3,3,3,3,6,1,4,4,3,3,1,1,1,1],[1,78,
225,544,26,225,105,900,180,765,1530,180,180,96,160,480,2400,225,45,225,45,450,
90,510,765,1350,270,1800,360,1800,360,180,180,180,180,360,360,360,360,720,90,
90,90,90,90,90,720,640,96,288,288,816,720,1320,800,480,480,384,30,6,85,225,45,
135,675,180,900,270,1350,45,45,180,180,180,90,90,90,90,90,90,90,90,180,180,
180,180,90,90,90,90,90,90,90,90,180,180,180,180,180,180,180,180,720,720,720,
720,640,96,288,288,120,120,240,360,720,720,1440,1680,160,384,90,18,225,45,45,
45,45,45,180,180,180,180,360,30,30,30,30,90,90,90,90,90,90,90,90,90,90,90,90,
180,180,180,180,90,90,90,90,180,180,180,180,45,120,800,96,120,24,310,100,560,
360,720,120,120,240,240,16,48,96,5,1,90,90,90,90,90,90,90,90,30,45,45,45,160,
6,10,30,90,180,120,120,120,120,120,120,48,48,96,96,15,15,45,280,6,18,18,64,5,
1,60,30,30,30,120,16,48,24,5,40,6,18,18,15,15,10,24,20,10,6,16,5,5,10,6,10,6,
5,1,1],[1,78,225,544,26,105,225,180,900,765,1530,180,180,96,160,480,2400,45,
225,45,225,90,450,510,765,270,1350,360,1800,360,1800,180,180,180,180,360,360,
360,360,720,90,90,90,90,90,90,720,640,96,288,288,816,1320,720,800,480,480,384,
6,30,85,45,225,675,135,900,180,1350,270,45,45,180,180,180,90,90,90,90,90,90,
90,90,180,180,180,180,90,90,90,90,90,90,90,90,180,180,180,180,180,180,180,180,
720,720,720,720,640,96,288,288,120,120,240,720,360,1440,720,1680,160,384,18,
90,45,225,45,45,45,45,180,180,180,180,360,30,30,30,30,90,90,90,90,90,90,90,90,
90,90,90,90,180,180,180,180,90,90,90,90,180,180,180,180,45,120,800,96,24,120,
100,310,560,720,360,120,120,240,240,16,48,96,1,5,90,90,90,90,90,90,90,90,30,
45,45,45,160,6,10,30,180,90,120,120,120,120,120,120,48,48,96,96,15,15,45,280,
6,18,18,64,1,5,30,60,30,30,120,16,48,24,5,40,6,18,18,15,15,10,24,10,20,6,16,5,
5,10,6,10,6,5,1,1],[1,78,225,64,480,6,80,105,45,780,180,585,990,180,180,96,
160,480,960,1440,105,45,105,45,120,90,90,210,225,60,450,270,480,360,720,360,
180,180,180,540,360,360,360,360,360,720,90,270,90,90,90,90,180,360,720,120,
120,640,96,288,288,80,640,96,240,240,240,360,320,480,480,480,384,6,15,5,15,45,
45,135,45,180,180,270,180,45,45,45,90,45,180,180,180,30,30,30,90,180,180,90,
90,90,90,90,90,180,180,180,270,90,90,90,270,90,90,90,90,90,180,180,180,180,
180,180,180,180,180,180,360,360,720,720,720,720,360,360,360,360,640,96,288,
288,120,120,240,240,240,240,360,720,480,480,480,720,160,480,480,384,18,15,45,
45,45,45,45,45,45,90,180,180,180,180,360,30,30,30,90,90,90,90,90,90,90,90,90,
180,180,180,30,90,45,45,90,90,90,180,180,45,60,60,180,180,60,180,90,90,90,90,
180,90,90,180,90,90,180,90,90,180,180,180,180,180,180,180,180,180,180,180,180,
320,480,96,24,60,30,40,80,80,240,360,240,120,120,120,240,240,480,480,64,96,1,
10,30,15,45,90,90,90,90,15,15,30,90,30,45,45,90,90,45,45,45,45,90,180,90,90,
90,90,90,180,90,90,180,180,180,180,180,180,160,6,10,30,60,60,60,90,120,120,
120,120,120,240,96,15,30,90,45,45,90,80,120,6,18,18,64,1,10,30,40,120,40,40,
30,30,60,60,60,120,120,24,5,40,6,18,18,15,10,30,24,10,40,6,5,5,10,1,6,10,3,6,
5,4,1,1],[1,78,225,64,480,6,80,45,105,180,780,585,990,180,180,96,160,480,960,
1440,45,105,45,105,120,90,90,210,225,60,270,450,360,480,360,720,180,180,540,
180,360,360,360,360,360,720,270,90,90,90,90,90,180,360,720,120,120,640,96,288,
288,80,640,96,240,240,360,240,320,480,480,480,384,6,15,5,15,45,45,45,135,180,
180,180,270,45,45,45,90,45,180,180,180,30,30,30,90,180,180,90,90,90,90,90,90,
180,180,180,270,90,90,90,90,270,90,90,90,90,180,180,180,180,180,180,180,180,
180,180,360,360,720,720,720,720,360,360,360,360,640,96,288,288,120,120,240,
240,240,360,240,720,480,480,480,720,160,480,480,384,18,45,15,45,45,45,45,45,
45,90,180,180,180,180,360,30,30,30,90,90,90,90,90,90,90,90,90,180,180,180,30,
90,45,45,90,90,90,180,180,45,60,60,180,180,60,180,90,90,90,90,180,90,90,180,
90,90,180,90,90,180,180,180,180,180,180,180,180,180,180,180,180,320,480,96,24,
60,30,40,80,80,240,360,240,120,120,120,240,240,480,480,64,96,1,10,30,15,45,90,
90,90,90,15,15,30,90,30,45,45,90,90,45,45,45,45,90,180,90,90,90,90,90,180,90,
90,180,180,180,180,180,180,160,6,10,30,60,60,60,90,120,120,120,120,120,240,96,
15,30,90,45,45,90,80,120,6,18,18,64,1,10,30,40,120,40,40,30,30,60,60,60,120,
120,24,5,40,6,18,18,15,10,30,24,10,40,6,5,5,10,1,6,10,3,6,5,4,1,1],[1,198,297,
160,96,6,720,69,117,324,1044,1053,1134,432,396,972,96,1056,672,864,1440,864,
27,153,171,81,144,54,198,162,189,756,270,378,288,792,432,360,288,180,756,756,
540,864,648,1728,216,1080,2592,864,270,162,270,378,162,270,540,432,864,1080,
864,216,216,128,128,144,240,72,48,72,96,288,96,288,1440,864,864,288,864,864,
288,288,288,864,6,18,18,54,15,27,45,189,27,180,108,270,108,18,54,54,27,144,72,
108,108,216,81,216,108,108,54,54,54,54,108,108,108,216,216,432,216,108,54,54,
324,108,54,162,162,162,216,216,324,216,108,324,108,324,216,432,216,432,432,
648,216,432,216,108,270,378,54,54,162,162,162,270,162,162,108,108,324,216,108,
432,108,432,432,324,324,648,648,864,864,864,432,864,864,432,216,432,432,648,
216,648,128,128,768,384,384,72,96,216,288,72,72,672,144,144,144,576,288,216,
144,72,144,144,288,144,432,144,96,288,96,288,288,288,288,288,288,288,288,288,
864,288,64,18,9,45,18,27,54,54,27,81,27,108,72,108,216,108,216,108,108,216,18,
36,18,108,54,108,108,54,108,54,162,54,162,162,54,144,324,108,216,108,216,108,
108,216,108,108,432,216,432,54,54,108,54,54,54,54,54,108,108,54,108,108,108,
108,108,216,216,108,27,108,216,324,108,108,54,54,54,108,108,108,54,108,216,
108,216,54,54,108,162,54,108,108,216,108,216,108,216,108,216,432,216,108,108,
216,216,216,108,216,216,108,108,216,108,108,108,216,108,108,108,108,108,216,
108,432,216,216,216,108,108,96,96,384,384,24,6,60,6,72,48,48,72,72,72,216,144,
216,72,144,72,72,72,432,144,288,144,144,144,144,144,144,144,72,72,72,72,144,
144,288,288,64,128,128,1,18,54,72,108,54,54,54,54,54,54,27,27,9,18,27,54,72,
108,54,54,108,54,54,27,54,27,54,54,54,54,54,108,54,54,54,54,54,108,27,27,27,
27,108,216,108,108,108,108,216,108,108,108,108,108,216,54,54,54,54,108,54,54,
108,108,216,54,54,108,108,216,108,108,216,108,108,216,96,96,96,96,96,96,24,6,
6,72,18,18,96,36,36,144,18,36,18,72,72,72,72,72,36,36,72,144,72,72,72,72,72,
72,72,72,144,144,72,72,64,64,64,9,18,18,54,54,54,54,27,27,27,27,27,27,54,54,
54,54,54,54,108,54,54,54,54,54,54,108,24,24,96,96,1,6,6,18,18,36,18,18,18,18,
36,18,18,18,18,18,36,18,36,72,72,36,36,36,72,72,64,9,27,27,27,27,27,27,24,24,
24,24,24,24,6,6,9,6,6,18,18,18,36,18,18,18,18,18,18,18,18,18,27,2,2,24,24,9,9,
9,18,18,2,2,6,6,6,6,9,1,6,6,1,2,2,1,1,1,1],[1,198,297,160,96,6,720,117,69,
1044,324,1053,1134,432,396,972,96,1056,672,864,1440,864,153,27,81,171,144,198,
54,162,189,756,378,270,792,288,360,432,288,180,756,540,756,648,864,216,1728,
1080,2592,864,162,270,378,270,162,270,540,864,432,1080,864,216,216,128,128,
144,72,240,48,72,96,288,288,96,1440,864,288,864,864,864,288,288,288,864,6,18,
54,18,15,45,27,27,189,108,180,108,270,18,54,54,27,72,144,108,216,108,81,108,
216,108,54,54,54,54,108,108,108,216,216,432,216,54,108,54,108,324,162,54,162,
162,216,216,324,108,216,108,324,324,432,216,432,216,432,216,648,432,108,216,
270,54,378,162,54,162,162,270,162,162,108,324,108,108,216,108,432,432,432,324,
324,648,648,864,864,864,864,432,864,432,216,432,432,648,216,648,128,128,768,
384,384,96,72,288,216,72,72,672,144,144,576,144,288,144,216,72,144,288,144,
144,432,144,96,96,288,288,288,288,288,288,288,288,288,288,864,288,64,18,45,9,
18,27,54,54,81,27,27,72,108,108,216,216,108,108,108,216,36,18,18,108,108,54,
54,108,108,54,162,54,162,162,54,144,108,324,108,216,216,108,108,216,108,108,
216,432,432,54,54,108,54,54,54,54,54,108,108,54,108,108,108,108,216,108,108,
216,27,108,216,324,108,108,54,54,54,108,108,54,108,108,216,216,108,54,54,108,
162,54,108,108,216,108,108,216,216,108,432,216,216,108,108,216,216,216,108,
216,108,216,216,108,108,108,108,108,216,108,108,108,108,216,108,432,216,216,
216,108,108,96,96,384,384,24,60,6,6,72,48,48,72,72,72,144,216,216,72,72,144,
72,72,432,144,144,288,144,144,144,144,144,72,144,72,72,72,144,144,288,288,64,
128,128,1,18,54,72,54,108,54,54,54,54,54,27,27,18,9,54,27,72,108,54,54,54,108,
54,27,27,54,54,54,54,54,54,108,54,54,54,54,54,108,27,27,27,27,108,216,108,108,
108,108,216,108,108,108,108,108,216,54,54,54,54,108,54,54,108,108,216,54,54,
108,108,216,108,108,216,108,108,216,96,96,96,96,96,96,6,24,6,18,72,18,96,36,
144,36,36,18,18,72,72,72,72,36,72,36,72,72,144,72,72,72,72,72,72,72,144,144,
72,72,64,64,64,9,18,18,54,54,54,54,27,27,27,27,27,27,54,54,54,54,54,54,108,54,
54,54,54,54,54,108,24,24,96,96,1,6,6,18,18,18,36,18,18,36,18,18,18,18,18,18,
18,36,72,36,72,36,36,36,72,72,64,9,27,27,27,27,27,27,24,24,24,24,24,24,6,6,9,
6,6,18,18,36,18,18,18,18,18,18,18,18,18,18,27,2,2,24,24,9,9,9,18,18,2,2,6,6,6,
6,9,1,6,6,1,2,2,1,1,1,1],[1,250,225,220,10,900,75,75,1575,450,300,1350,156,
1220,900,1900,75,75,150,225,675,300,2250,900,900,900,225,225,450,1125,450,450,
100,156,900,900,210,300,300,100,900,1900,2700,300,300,300,120,25,225,225,225,
450,225,225,450,450,450,225,450,450,450,450,100,100,100,800,60,120,1800,900,
180,600,600,700,300,300,150,100,900,300,300,300,300,300,36,120,120,120,75,75,
225,225,225,225,225,100,100,200,400,400,400,60,900,180,25,25,50,300,300,150,
150,300,36,216,2,60,60,60,120,120,120,225,100,100,200,100,400,100,180,25,25,
75,75,75,75,150,36,108,108,20,120,120,30,60,60,60,120,25,100,100,20,75,75,36,
108,108,10,30,60,60,30,60,25,25,25,12,20,20,20,36,30,25,12,10,20,12,10,1,1,1,
1,1],[1,168,315,106,420,35,420,945,945,630,126,420,546,1050,1260,1050,1260,
120,315,315,630,1890,945,35,140,126,378,378,105,210,210,105,140,420,840,1890,
1260,1260,210,630,360,126,945,35,105,140,105,420,420,420,504,378,240,120,120,
105,210,315,630,420,315,315,420,420,210,630,630,630,630,70,126,126,126,35,105,
105,35,70,105,210,210,420,210,210,378,120,360,315,315,630,70,140,140,21,42,
126,126,126,120,35,35,105,105,105,105,105,210,105,210,105,210,35,70,70,70,84,
126,63,126,120,105,105,105,30,21,42,35,35,35,70,63,21,21,42,21,35,30,21,7,7,1,
1],[1,68,255,136,85,510,510,680,510,136,136,680,680,85,255,1020,255,1020,1020,
136,408,408,340,680,680,680,136,17,255,510,255,510,120,544,408,340,680,136,
136,136,85,255,255,120,408,17,340,68,136,136,136,255,120,17,85,68,136,120,17,
85,17,68,51,17,17,1,1,1],[1,68,255,136,85,510,510,680,510,136,136,680,680,85,
255,1020,255,1020,1020,136,408,408,340,680,680,680,136,17,255,510,255,510,120,
544,408,340,680,136,136,136,85,255,255,120,408,17,340,68,136,136,136,255,120,
17,85,68,136,120,17,85,17,68,51,17,17,1,1,1],[1,49,1372,1029,1372,120,112,168,
343,343,1029,1372,56,392,1029,1176,784,1176,343,343,392,392,343,343,17,16,24,
1,56,140,112,168,21,28,56,49,8,7,7,21,28,8,21,8,7,7,8,7,7,1],[1,126,449,448,
42,112,357,357,1484,1484,1701,3402,336,700,2100,448,2240,2240,512,371,371,315,
315,120,120,630,630,1134,1701,140,1890,1890,2520,2520,2520,2520,336,700,756,
1092,1092,2184,2184,2184,2184,1848,1848,1680,3024,546,546,714,714,378,378,420,
1176,1176,840,3024,168,168,280,336,112,224,224,560,560,448,448,1344,1344,2240,
448,448,512,42,42,15,15,7,7,189,315,315,945,945,1260,1260,1890,1890,49,49,63,
63,189,84,84,28,294,294,189,756,756,756,42,42,42,42,42,42,42,126,126,252,252,
84,84,252,252,168,126,126,378,378,378,378,294,294,378,378,546,546,252,252,588,
588,1092,1092,756,756,420,1176,1176,1176,1176,168,504,504,840,294,294,462,462,
378,378,546,546,378,378,42,378,378,756,756,756,756,756,1092,1092,252,252,756,
420,504,504,1176,1176,1176,1176,840,3024,3024,3024,3024,56,504,504,504,504,
840,504,504,168,168,168,336,336,336,336,512,112,560,560,560,560,560,672,672,
672,672,448,448,560,560,560,672,672,672,672,672,672,448,448,448,448,1120,672,
672,448,448,448,126,126,315,315,49,49,189,63,63,189,189,189,84,84,28,294,294,
756,756,756,756,1512,126,126,126,126,42,42,546,546,378,378,126,126,378,378,
294,294,378,378,378,378,126,126,378,378,392,392,252,252,84,84,588,588,756,756,
420,756,756,504,504,1176,1176,42,42,126,126,84,63,63,147,147,378,378,126,126,
378,378,294,294,756,756,756,756,252,252,588,588,189,140,84,84,84,252,252,252,
252,84,84,252,252,126,126,126,126,42,126,126,126,126,252,252,126,126,126,126,
252,252,84,84,84,126,126,126,126,252,252,84,126,126,126,126,42,84,504,56,84,
252,252,252,252,252,252,252,252,252,252,252,252,168,168,168,252,252,252,252,
252,252,252,252,168,168,420,420,252,252,252,252,84,84,84,252,252,84,84,420,84,
84,252,252,504,504,252,252,504,504,504,504,504,504,252,252,252,252,84,84,84,
84,84,84,168,168,168,168,168,168,168,168,168,336,512,28,28,112,112,224,224,
336,336,336,336,560,560,560,336,336,336,336,336,336,672,672,224,224,672,672,
672,672,672,672,112,112,112,112,112,112,224,224,224,224,672,672,672,672,224,
224,224,448,64,64,7,7,14,14,42,42,21,21,147,147,196,196,126,126,378,378,378,
378,378,378,378,378,21,21,21,21,21,21,21,147,147,196,196,126,126,42,42,126,
126,126,42,42,63,63,63,63,126,126,42,42,126,126,21,21,21,21,42,42,126,126,126,
126,126,126,126,126,42,42,126,126,126,126,42,42,252,252,189,189,63,63,21,63,
63,189,28,28,252,252,84,84,252,252,420,252,252,252,252,252,252,252,252,84,84,
252,252,84,84,84,28,28,28,84,84,84,84,84,84,126,126,252,252,126,126,42,42,126,
126,126,126,42,42,252,252,126,126,126,126,42,42,42,126,126,126,126,252,252,
168,126,126,126,126,42,42,252,252,252,252,252,252,252,252,168,84,84,84,84,84,
84,84,252,252,252,252,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,
84,84,84,84,168,84,84,84,84,84,84,84,84,84,168,84,168,168,28,28,84,84,56,56,
84,84,140,84,84,112,112,336,336,336,336,56,56,112,112,112,112,112,112,112,112,
112,112,112,112,224,224,112,112,112,224,224,224,64,64,1,63,63,49,49,21,21,7,7,
21,21,42,42,42,42,14,14,42,42,42,42,126,126,21,21,21,189,63,63,63,63,42,42,
126,126,63,63,21,21,63,63,63,63,21,63,63,21,21,21,21,42,42,42,42,42,42,21,42,
42,126,126,42,42,126,126,252,252,42,42,126,126,42,42,42,42,126,126,126,126,42,
42,42,42,126,126,42,42,126,126,42,42,42,42,42,42,42,42,42,42,84,84,84,84,84,
84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,64,64,64,64,64,28,28,56,56,
168,168,84,84,84,84,28,28,28,28,28,28,84,84,84,84,84,84,140,28,28,28,28,28,28,
84,84,84,84,28,28,28,28,28,28,56,56,56,56,168,168,112,112,112,21,7,7,21,21,63,
63,63,63,21,21,63,63,63,63,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,
21,21,21,42,42,42,42,42,42,42,42,42,42,42,42,64,64,64,64,64,64,28,28,28,28,28,
28,28,28,84,84,84,84,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,
28,28,28,28,56,56,56,56,56,56,7,7,21,21,21,21,21,21,21,21,21,21,21,21,21,7,7,
28,28,28,28,28,8,21,8,8,7,7,7,7,7,7,8,8,8,8,8,7,7,1],[1,318,225,544,26,1200,
225,105,900,180,1845,1530,1200,1260,180,96,3680,480,3360,225,45,405,105,450,
90,510,765,1260,1350,270,1800,360,1800,360,1200,180,1980,1620,2340,360,360,
360,360,5040,720,270,630,90,90,90,450,1620,2520,720,360,720,640,96,288,288,
816,720,1320,800,480,3360,1440,480,2400,480,384,30,6,30,90,85,225,45,135,675,
180,900,270,1350,270,90,45,360,120,180,45,180,180,180,90,180,180,360,180,540,
90,90,90,90,630,270,90,90,360,1080,180,180,180,180,1260,360,720,2160,2520,180,
540,90,90,90,90,630,270,450,90,90,180,180,180,180,180,180,180,1440,720,540,
1260,720,2160,2520,720,720,720,720,360,720,720,360,360,360,360,640,1280,96,
576,576,288,288,120,1800,1440,4000,240,600,720,720,1440,1680,160,480,2400,480,
480,480,480,384,90,18,225,45,45,90,270,45,45,45,360,120,180,180,180,180,180,
360,210,90,30,30,90,90,90,90,90,90,90,90,90,90,180,540,90,90,360,1080,180,180,
180,180,1260,180,180,720,2160,180,90,270,90,90,540,180,90,90,180,180,180,180,
1080,360,45,360,180,180,90,180,180,180,180,90,180,120,180,360,360,360,360,360,
180,180,180,180,180,180,360,360,360,180,180,180,180,180,180,180,180,180,180,
360,800,640,96,288,288,120,24,310,100,120,560,360,720,600,720,360,120,1680,
240,240,120,720,360,1680,480,16,48,96,384,5,1,30,90,180,540,90,90,90,90,90,90,
90,90,45,90,30,540,180,30,90,90,45,45,45,45,90,90,90,90,90,90,45,45,45,45,180,
180,180,180,180,180,360,90,90,90,90,90,90,90,360,90,90,360,180,180,180,180,
180,180,180,180,360,360,800,160,160,6,288,40,130,30,780,480,90,180,120,120,
120,180,120,120,120,120,120,120,720,360,1680,120,96,96,48,48,96,96,15,15,90,
30,45,90,90,45,45,45,45,90,90,90,90,90,90,90,90,90,90,90,90,180,280,160,6,18,
18,64,5,1,60,30,180,90,30,30,30,90,180,30,120,120,120,180,120,60,120,120,120,
16,48,24,48,48,48,48,96,5,45,45,45,45,45,45,40,40,280,6,18,18,36,36,64,10,30,
15,15,10,30,30,90,180,30,30,30,120,24,48,48,45,20,10,40,6,18,18,16,5,5,10,15,
15,15,15,30,6,24,10,20,10,10,18,16,15,15,30,6,5,10,1,6,5,3,1,1],[1,318,225,
544,26,1200,105,225,180,900,1845,1530,1200,1260,180,96,3680,480,3360,45,225,
105,405,90,450,510,765,1260,270,1350,360,1800,360,1800,1200,180,1980,2340,
1620,360,360,360,360,5040,720,630,270,90,90,90,450,1620,2520,720,360,720,640,
96,288,288,816,1320,720,800,480,3360,1440,480,2400,480,384,6,30,90,30,85,45,
225,675,135,900,180,1350,270,90,270,45,120,360,180,45,180,180,180,90,180,180,
360,540,180,90,90,90,90,270,630,90,90,1080,360,180,180,180,180,1260,360,2160,
720,2520,540,180,90,90,90,90,270,630,450,90,90,180,180,180,180,180,180,180,
720,1440,540,1260,2160,720,2520,720,720,720,720,360,720,720,360,360,360,360,
640,1280,96,576,576,288,288,120,1440,1800,4000,240,720,600,1440,720,1680,160,
480,2400,480,480,480,480,384,18,90,45,225,45,270,90,45,45,45,120,360,180,180,
180,180,180,360,90,210,30,30,90,90,90,90,90,90,90,90,90,90,540,180,90,90,1080,
360,180,180,180,180,1260,180,180,2160,720,180,270,90,90,90,180,540,90,90,180,
180,180,180,360,1080,45,360,180,180,90,180,180,180,180,90,180,120,180,360,360,
360,360,360,180,180,180,180,180,180,360,360,360,180,180,180,180,180,180,180,
180,180,180,360,800,640,96,288,288,24,120,100,310,120,560,720,360,720,600,360,
120,1680,240,240,120,360,720,1680,480,16,48,96,384,1,5,90,30,540,180,90,90,90,
90,90,90,90,90,45,30,90,180,540,30,90,90,45,45,45,45,90,90,90,90,90,90,45,45,
45,45,180,180,180,180,180,180,360,90,90,90,90,90,90,90,360,90,90,360,180,180,
180,180,180,180,180,180,360,360,800,160,160,6,288,130,40,30,480,780,180,90,
120,120,180,120,120,120,120,120,120,120,360,720,1680,120,96,96,48,48,96,96,15,
15,30,90,45,90,90,45,45,45,45,90,90,90,90,90,90,90,90,90,90,90,90,180,280,160,
6,18,18,64,1,5,30,60,90,180,30,30,30,180,90,30,120,120,120,120,180,60,120,120,
120,16,48,24,48,48,48,48,96,5,45,45,45,45,45,45,40,40,280,6,18,18,36,36,64,30,
10,15,15,10,30,30,180,90,30,30,30,120,24,48,48,45,10,20,40,6,18,18,16,5,5,10,
15,15,15,15,30,6,24,20,10,10,10,18,16,15,15,30,6,5,10,1,6,5,3,1,1],[1,78,465,
64,480,6,80,165,105,1620,780,585,1710,720,1020,900,96,160,640,3360,960,2400,
225,105,45,105,120,240,270,90,210,225,60,450,450,1080,480,360,720,300,180,540,
540,1080,1440,360,1440,360,1800,1440,2880,630,270,270,450,270,90,900,1440,360,
1080,1440,120,360,120,720,640,96,288,288,80,640,96,240,240,360,240,320,480,
480,480,2400,960,1440,960,1440,480,384,6,30,15,5,15,45,45,45,225,180,180,180,
270,45,30,225,45,180,360,90,135,180,360,180,90,30,30,30,90,90,90,540,180,180,
360,360,270,180,90,180,450,180,90,90,270,90,270,180,540,540,180,360,180,180,
180,720,720,360,720,360,720,270,180,90,450,90,270,270,270,90,90,270,270,180,
540,180,540,360,180,720,180,180,180,360,360,1440,360,1440,1440,720,1440,720,
360,1080,360,360,1080,360,360,360,360,720,720,720,720,640,640,640,96,576,576,
288,288,160,120,480,1920,120,480,240,720,960,1440,240,240,360,240,720,480,480,
240,480,720,160,480,1440,480,960,480,480,480,480,480,384,18,45,15,45,30,45,45,
135,45,45,360,90,360,180,180,180,360,30,30,30,180,90,90,180,270,180,270,90,
270,90,90,90,90,90,240,180,180,180,360,180,180,180,180,720,30,90,90,90,135,45,
90,90,90,90,90,180,90,180,180,180,360,360,45,60,180,60,180,540,180,60,180,90,
90,90,270,90,270,180,180,90,90,90,180,180,180,180,90,90,90,90,180,90,90,270,
180,360,540,180,180,180,180,360,180,180,180,360,180,180,180,180,180,180,360,
180,180,180,180,180,180,540,180,360,180,180,360,360,360,180,180,180,180,180,
180,180,180,360,360,360,360,360,360,360,360,360,720,320,480,640,96,288,288,24,
60,30,40,80,80,240,360,120,240,120,120,240,240,360,120,240,240,480,720,240,
240,240,120,240,360,240,240,720,480,480,480,480,480,480,64,96,384,1,10,30,15,
45,90,120,90,90,90,90,90,15,15,45,90,120,90,30,90,30,135,45,90,90,90,90,90,
135,45,90,90,90,90,90,90,180,45,45,45,45,45,180,180,180,180,180,180,180,180,
180,180,180,180,90,180,90,90,90,180,90,90,90,90,90,180,90,90,180,180,90,90,90,
90,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,320,480,160,160,6,288,
10,120,30,160,180,240,60,60,60,90,120,120,120,60,120,120,120,120,120,240,120,
240,240,360,720,120,240,240,480,192,96,15,30,45,45,90,30,90,90,45,45,45,45,45,
45,45,90,45,90,90,180,90,90,90,90,90,90,90,90,90,90,90,90,90,180,180,180,180,
180,180,180,180,180,80,120,160,6,18,18,64,1,10,30,40,120,40,40,30,30,90,60,30,
60,60,90,60,30,60,60,60,60,60,120,120,120,60,120,60,120,120,120,120,120,24,96,
5,45,45,45,45,45,45,90,90,90,90,40,40,80,120,6,18,18,36,36,64,10,15,10,30,30,
30,90,60,30,30,30,60,60,60,120,120,120,120,120,24,45,10,40,40,6,18,18,5,5,10,
15,15,30,30,30,1,6,24,10,10,10,40,18,15,15,30,3,6,6,5,10,4,1,3,3,6,5,4,3,1,
1],[1,78,465,64,480,6,80,105,165,780,1620,585,1710,720,1020,900,96,160,640,
3360,960,2400,105,225,105,45,240,120,90,270,210,225,60,450,450,480,1080,720,
360,300,180,540,540,1440,1080,1440,360,1800,360,1440,2880,270,630,450,270,270,
90,900,360,1440,1080,1440,360,120,120,720,640,96,288,288,80,640,96,240,240,
240,360,320,480,480,2400,480,960,1440,960,1440,480,384,6,15,30,5,15,45,45,225,
45,180,180,270,180,30,45,225,45,180,90,360,135,360,180,180,30,90,30,90,30,90,
90,180,540,360,180,360,180,270,180,90,450,90,180,270,90,270,90,180,540,540,
360,180,180,180,180,720,720,360,360,720,720,180,270,450,90,270,90,270,270,90,
90,270,270,180,180,540,360,540,720,180,180,180,180,360,1440,360,1440,360,720,
1440,1440,720,360,360,1080,360,360,1080,360,360,360,720,720,720,720,640,640,
640,96,576,576,288,288,160,120,480,1920,120,240,480,720,960,1440,240,240,240,
360,720,480,240,480,480,720,480,160,480,1440,960,480,480,480,480,480,384,18,
15,45,30,45,45,45,45,135,45,90,360,180,360,180,180,360,30,30,30,90,180,180,90,
180,270,270,270,90,90,90,90,90,90,240,180,180,360,180,180,180,180,180,720,90,
30,90,90,135,90,45,90,90,90,90,90,180,180,180,180,360,360,45,60,60,180,540,
180,180,60,180,90,90,90,270,270,90,180,180,90,90,90,180,180,180,180,90,90,90,
90,180,90,270,90,360,180,540,180,180,180,180,180,360,180,180,360,180,180,180,
180,180,360,180,180,180,180,180,180,180,540,180,360,180,180,360,360,360,180,
180,180,180,180,180,180,180,360,360,360,360,360,360,360,360,360,720,320,480,
640,96,288,288,24,60,30,40,80,80,240,360,240,120,120,120,240,240,360,240,120,
240,480,720,240,240,240,120,240,240,360,240,720,480,480,480,480,480,480,64,96,
384,1,10,30,15,90,45,120,90,90,90,90,90,15,45,15,90,120,90,30,90,30,135,45,90,
90,90,90,90,135,45,90,90,90,90,90,90,180,45,45,45,45,45,180,180,180,180,180,
180,180,180,180,180,180,180,90,180,90,90,90,180,90,90,90,90,90,90,180,90,180,
180,90,90,90,90,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,320,480,
160,160,6,288,10,120,30,160,180,240,60,60,60,90,120,120,120,60,120,120,120,
120,120,240,240,120,240,360,720,120,240,240,480,192,96,15,30,45,45,90,30,90,
90,45,45,45,45,45,45,45,90,45,90,90,180,90,90,90,90,90,90,90,90,90,90,90,90,
90,180,180,180,180,180,180,180,180,180,80,120,160,6,18,18,64,1,10,30,40,120,
40,40,30,30,90,60,30,60,60,90,60,30,60,60,60,60,60,120,120,120,60,120,60,120,
120,120,120,120,24,96,5,45,45,45,45,45,45,90,90,90,90,40,40,80,120,6,18,18,36,
36,64,10,15,10,30,30,30,90,60,30,30,30,60,60,60,120,120,120,120,120,24,45,10,
40,40,6,18,18,5,5,10,15,15,30,30,30,1,6,24,10,10,10,40,18,15,15,30,3,6,6,5,10,
4,1,3,3,6,5,4,3,1,1],[1,198,585,1024,960,66,240,645,225,3420,180,2025,4050,
720,540,2700,576,960,960,2880,2880,5760,2880,855,45,675,45,360,1350,90,1350,
2025,180,4050,270,5400,360,5400,360,720,540,540,540,1620,1080,3240,1080,3240,
5400,2160,2160,270,810,270,1350,270,270,540,3240,1080,2160,360,360,1280,1280,
576,1728,1728,240,1920,2016,1680,3600,480,720,720,1920,960,960,2880,2880,2880,
2880,2880,2304,90,6,45,15,225,675,45,135,2025,180,2700,270,4050,135,135,135,
180,810,135,540,540,540,90,90,90,270,540,540,270,270,270,270,270,810,270,270,
270,810,540,1620,540,1620,540,540,540,3240,3240,1080,1080,810,1350,270,270,
810,270,270,270,270,270,540,540,540,540,540,540,1620,540,540,540,1080,3240,
3240,1080,2160,2160,2160,2160,1080,1080,1080,1080,3840,3840,576,1728,1728,240,
720,720,720,720,720,720,720,960,1440,1440,4320,720,2160,720,720,720,1440,1440,
4320,1440,4320,1440,960,960,1440,1440,2880,640,2304,270,18,675,45,135,135,135,
135,135,135,180,810,540,540,540,540,1080,90,90,90,90,90,810,270,270,270,270,
270,270,810,270,270,270,270,270,270,270,1080,540,1620,540,540,540,540,540,
1080,3240,90,270,135,405,270,270,270,270,270,810,540,540,540,540,540,1620,135,
180,180,540,540,180,540,270,270,270,270,540,270,270,540,270,270,540,270,270,
360,540,540,540,540,540,540,540,540,540,540,540,540,540,540,540,540,540,1080,
540,1080,1080,1080,540,540,1920,960,960,576,360,24,900,180,60,120,240,240,480,
1440,720,2160,720,720,360,720,720,720,720,720,720,720,720,1440,1440,1440,1440,
1440,1440,720,1440,1440,640,96,288,384,576,15,1,30,90,45,405,540,270,270,270,
270,270,270,270,270,270,45,45,45,405,540,270,90,270,90,90,135,135,270,270,270,
270,270,270,270,270,540,135,135,135,135,135,540,540,540,540,540,540,540,540,
270,540,270,270,270,540,270,270,270,270,540,270,270,540,540,540,540,540,540,
960,960,960,960,36,60,60,540,180,720,360,180,180,180,540,180,240,720,720,720,
360,360,360,360,360,360,360,720,720,640,288,288,576,576,45,45,135,45,90,270,
135,135,135,270,135,135,135,135,270,270,540,270,270,270,270,270,240,720,240,
36,108,108,384,384,15,1,30,180,60,60,120,360,120,120,180,180,180,180,180,180,
180,180,180,180,180,180,360,360,360,360,360,96,288,144,15,15,45,135,135,135,
135,240,240,240,36,108,108,45,15,45,45,60,60,90,180,180,180,144,45,60,20,20,
120,36,96,15,15,15,15,30,30,45,45,45,6,36,64,60,60,60,15,15,45,10,18,36,15,15,
24,10,6,6,15,15,10,6,6,1],[1,198,585,1024,960,66,240,225,645,180,3420,2025,
4050,720,540,2700,576,960,960,2880,2880,5760,2880,45,855,45,675,360,90,1350,
1350,2025,180,270,4050,360,5400,360,5400,720,540,540,1620,540,3240,1080,3240,
1080,5400,2160,2160,810,270,1350,270,270,270,540,3240,1080,2160,360,360,1280,
1280,576,1728,1728,240,1920,2016,3600,1680,480,720,720,1920,960,960,2880,2880,
2880,2880,2880,2304,6,90,45,15,225,45,675,2025,135,2700,180,4050,270,135,135,
135,180,810,135,540,540,540,90,90,90,270,540,540,270,270,270,270,270,810,270,
270,810,270,540,1620,1620,540,540,540,540,3240,3240,1080,1080,810,1350,270,
270,270,810,270,270,270,270,540,540,540,540,540,1620,540,540,540,540,1080,
3240,3240,1080,2160,2160,2160,2160,1080,1080,1080,1080,3840,3840,576,1728,
1728,240,720,720,720,720,720,720,720,960,1440,1440,4320,2160,720,720,720,720,
1440,4320,1440,1440,4320,1440,960,960,1440,1440,2880,640,2304,18,270,45,675,
135,135,135,135,135,135,180,810,540,540,540,540,1080,90,90,90,90,90,270,810,
270,270,270,270,270,810,270,270,270,270,270,270,270,1080,540,1620,540,540,540,
540,540,1080,3240,90,270,135,405,270,270,270,270,270,810,540,540,540,540,540,
1620,135,180,180,540,540,180,540,270,270,270,270,540,270,270,540,270,270,540,
270,270,360,540,540,540,540,540,540,540,540,540,540,540,540,540,540,540,540,
540,1080,540,1080,1080,1080,540,540,1920,960,960,576,24,360,180,900,60,120,
240,240,480,1440,2160,720,720,720,360,720,720,720,720,720,720,720,720,1440,
1440,1440,1440,1440,1440,720,1440,1440,640,96,288,384,576,1,15,30,90,45,405,
540,270,270,270,270,270,270,270,270,270,45,45,45,405,540,270,90,270,90,90,135,
135,270,270,270,270,270,270,270,270,540,135,135,135,135,135,540,540,540,540,
540,540,540,540,270,540,270,270,270,540,270,270,270,270,540,270,270,540,540,
540,540,540,540,960,960,960,960,36,60,60,540,180,720,360,180,180,540,180,180,
240,720,720,720,360,360,360,360,360,360,360,720,720,640,288,288,576,576,45,45,
135,45,90,270,135,135,135,270,135,135,135,135,270,270,540,270,270,270,270,270,
240,720,240,36,108,108,384,384,1,15,30,60,180,60,120,360,120,120,180,180,180,
180,180,180,180,180,180,180,180,180,360,360,360,360,360,96,288,144,15,15,45,
135,135,135,135,240,240,240,36,108,108,45,15,45,45,60,60,90,180,180,180,144,
45,20,60,20,120,36,96,15,15,15,15,30,30,45,45,45,6,36,64,60,60,60,15,15,45,10,
18,36,15,15,24,10,6,6,15,15,10,6,6,1],[1,318,945,1120,106,945,945,3780,3780,
4725,9450,3780,3780,2016,3360,10080,3360,960,945,945,945,945,1890,1890,3150,
4725,5670,5670,7560,7560,7560,7560,3780,3780,3780,3780,7560,7560,7560,7560,
15120,1890,1890,1890,1890,1890,1890,15120,280,2016,6048,6048,1680,2520,2520,
1120,10080,10080,2880,126,126,525,945,945,2835,2835,3780,3780,5670,5670,945,
945,3780,3780,3780,1890,1890,1890,1890,1890,1890,1890,1890,3780,3780,3780,
3780,1890,1890,1890,1890,1890,1890,1890,1890,3780,3780,3780,3780,3780,3780,
3780,3780,15120,15120,15120,15120,280,840,840,2016,6048,6048,960,2520,2520,
2520,2520,5040,5040,2520,2520,5040,5040,5040,3360,960,378,378,945,945,945,945,
945,945,3780,3780,3780,3780,7560,630,630,630,630,1890,1890,1890,1890,1890,
1890,1890,1890,1890,1890,1890,1890,3780,3780,3780,3780,1890,1890,1890,1890,
3780,3780,3780,3780,945,2520,280,840,840,1680,1680,2016,2880,210,210,1680,
2520,2520,2520,2520,2520,2520,5040,5040,5040,5040,336,1008,1008,21,21,1890,
1890,1890,1890,1890,1890,1890,1890,630,945,945,945,280,840,840,3360,126,126,
960,210,210,630,630,630,630,2520,2520,1260,1008,1008,1008,2016,2016,315,315,
945,840,126,126,378,378,378,378,360,210,210,630,630,630,630,1260,336,1008,
1008,105,280,126,126,378,378,378,378,360,720,168,210,210,126,126,360,168,336,
105,168,21,21,1],[1,558,945,1024,960,66,3120,405,645,3420,3420,6885,8370,3600,
3420,3780,576,960,7680,3840,8640,11520,8640,315,855,675,1215,360,360,630,1350,
2070,2565,4860,2970,4050,3240,5400,4680,6840,3600,1260,5940,8100,5940,5400,
3240,5400,7560,5400,3240,23760,10800,2970,1890,1890,810,810,1890,5940,3240,
3240,11880,10800,360,1080,2520,2160,1280,1280,576,1728,1728,240,1920,2016,
3600,1680,480,720,720,1920,3840,2880,960,11520,11520,2880,8640,5760,8640,5760,
2880,2880,5760,2304,6,90,45,45,285,225,225,315,855,2025,405,2700,1260,4050,
1350,315,315,945,1485,945,1260,1260,1260,810,810,405,2700,1620,1620,270,90,
630,630,1890,90,270,810,1350,2700,1620,1620,1620,1620,1620,3240,1890,810,270,
810,1350,810,810,1890,810,1890,810,810,3780,1620,1620,2700,2700,1620,1620,
1620,3780,1080,3240,1080,3240,3240,7560,3240,7560,2970,1890,1350,810,810,1890,
1890,1890,1890,2970,1890,810,810,1620,1620,1620,2700,1620,2700,1620,3780,5940,
3780,5940,7560,7560,3240,3240,3240,3240,11880,10800,6480,6480,10800,2520,7560,
7560,3240,1080,7560,3240,1080,1080,1080,1080,2160,2160,2160,2160,1280,1280,
7680,3840,3840,576,3456,3456,1728,1728,240,240,720,3600,5040,720,720,2160,
5760,720,720,10560,1440,1440,1440,1440,1440,4320,2880,2160,2160,2160,720,720,
1440,1440,4320,4320,1440,1440,7200,1440,1920,960,2880,3840,5760,2880,2880,
5760,1440,1440,2880,5760,5760,2880,5760,2880,640,2304,18,270,135,675,315,315,
945,1485,945,405,405,405,1260,1260,1260,810,810,1620,1620,2700,1620,3240,270,
630,90,270,270,630,810,810,270,810,810,810,810,810,810,810,810,1350,810,810,
1890,810,810,270,1080,360,3780,1620,1620,1620,2700,1620,540,1620,3780,1620,
1620,7560,3240,3240,1080,90,270,810,1350,1620,945,405,405,405,810,810,810,
1890,270,810,810,810,1620,1620,1620,540,1620,3780,1620,540,405,1260,540,180,
3780,540,1620,3780,3780,540,180,1620,540,810,810,270,810,810,810,810,810,810,
1620,1620,810,810,810,810,540,1620,1620,1620,1620,810,270,810,270,1620,1620,
1620,1890,1890,270,810,1890,3780,360,2520,1620,1620,1620,2700,1620,1620,1620,
1620,1620,1620,540,2700,1620,3240,3240,3240,2700,1620,1620,1620,1620,1620,540,
1620,3240,3240,1620,1620,1620,1620,1620,1620,1620,540,1620,540,540,1620,1620,
1620,1620,540,540,540,1080,1080,1620,1620,1080,3240,1080,1080,1080,1080,1620,
1620,540,1620,1620,540,540,540,540,540,1080,1080,1080,1080,1080,1080,1080,
1080,1080,2160,1920,960,960,3840,3840,576,1728,1728,24,360,180,900,60,120,240,
720,720,240,480,1440,2160,720,720,720,720,720,360,2160,2160,2160,2160,720,720,
720,720,720,720,2160,720,720,720,720,7200,1440,1440,1440,1440,1440,4320,1440,
1440,1440,1440,1440,1440,1440,720,720,720,720,720,720,2160,720,720,720,1440,
4320,1440,1440,1440,1440,1440,1440,5760,2880,640,1280,1280,96,288,384,576,
2304,1,15,90,30,90,270,315,135,405,405,180,540,1890,810,810,810,270,810,810,
270,810,270,315,315,45,135,945,45,315,135,405,180,540,270,1890,90,270,270,810,
90,90,270,405,405,405,405,270,810,810,810,810,810,405,135,135,405,810,810,810,
810,810,810,270,270,270,810,810,810,270,270,810,810,810,810,540,540,135,405,
405,405,405,405,135,405,540,180,540,540,1620,1620,540,540,1620,1620,1620,1620,
1620,1620,1620,540,540,1620,540,540,540,1620,1620,1620,1260,180,540,1620,1620,
1620,1620,540,1620,810,270,1620,540,810,270,270,810,270,810,270,810,270,810,
540,540,810,270,810,810,810,270,270,810,270,1350,810,1620,1620,3240,810,810,
810,270,810,270,540,1620,1620,1620,1620,540,1620,1620,3240,1620,1620,1620,540,
540,540,540,1620,540,540,1620,540,540,540,540,540,540,540,540,540,540,540,540,
540,540,540,540,540,540,540,540,540,540,1080,540,540,540,540,540,540,540,540,
540,1080,540,1080,1080,1920,960,960,1920,960,960,960,1920,960,36,1728,420,60,
60,540,180,180,240,720,360,1080,2520,720,180,180,540,540,180,240,720,240,720,
720,720,720,720,720,720,1080,360,360,360,1080,360,360,360,720,720,720,720,720,
720,720,720,720,720,720,720,720,2160,720,720,720,720,720,720,4320,1440,720,
720,720,720,720,720,720,1440,1440,640,640,640,576,576,1152,288,288,576,576,45,
45,135,135,45,45,315,135,45,135,405,810,810,810,810,90,270,270,810,270,90,270,
810,405,405,405,135,405,135,135,405,270,810,270,270,405,135,405,135,135,135,
405,135,405,405,405,405,135,135,405,270,810,810,270,270,810,135,810,270,270,
810,810,270,270,810,540,540,270,270,810,270,270,270,270,270,270,270,270,810,
810,270,270,270,810,810,810,810,270,270,270,270,270,270,270,810,270,270,270,
270,540,540,540,540,540,540,1620,540,540,540,540,540,540,540,540,540,1620,540,
540,540,540,240,720,240,960,960,1920,36,108,108,384,384,1,15,30,60,180,60,120,
360,120,360,120,180,180,540,540,540,180,180,180,180,180,540,180,540,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,360,360,
360,360,360,1080,360,360,360,360,1080,360,360,360,360,360,360,360,360,720,720,
720,720,720,640,96,288,144,288,288,288,288,576,15,45,15,45,45,405,135,135,135,
135,405,135,135,135,135,135,405,405,135,135,135,135,405,135,135,135,135,405,
135,135,135,135,135,135,135,270,270,270,270,270,270,270,270,810,270,810,270,
240,240,240,240,720,240,240,240,240,36,108,108,216,216,384,384,45,15,105,15,
135,45,60,60,60,90,180,180,180,180,180,180,540,180,180,180,180,180,180,180,
180,180,180,180,540,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
360,360,360,360,360,360,360,360,144,288,288,45,135,45,45,135,135,135,135,135,
135,135,135,135,135,135,20,60,20,120,240,240,240,36,108,108,96,15,15,15,45,15,
30,30,135,45,45,45,45,135,45,45,45,45,90,90,180,180,180,180,180,6,36,144,135,
64,20,60,20,60,60,60,60,60,60,120,108,96,15,15,45,15,15,45,45,45,45,45,45,45,
45,45,45,45,45,90,90,10,18,36,36,64,15,15,60,60,60,24,45,45,45,10,20,20,6,6,
18,18,36,15,15,15,15,15,15,24,10,10,10,18,18,15,15,6,6,10,6,6,1,1],[1,558,945,
1024,960,66,3120,645,405,3420,3420,6885,8370,3600,3420,3780,576,960,7680,3840,
8640,11520,8640,855,315,1215,675,360,360,1350,630,2070,2565,4860,4050,2970,
5400,3240,6840,4680,3600,1260,5940,5940,8100,3240,5400,7560,5400,3240,5400,
23760,10800,1890,2970,810,1890,810,1890,5940,3240,3240,11880,10800,1080,360,
2520,2160,1280,1280,576,1728,1728,240,1920,2016,1680,3600,480,720,720,1920,
3840,960,2880,11520,11520,8640,2880,5760,8640,5760,2880,2880,5760,2304,90,6,
45,45,225,285,225,855,315,405,2025,1260,2700,1350,4050,315,315,1485,945,945,
1260,1260,1260,810,810,405,1620,2700,1620,90,270,630,630,1890,270,90,1350,810,
1620,2700,1620,1620,1620,1620,3240,810,1890,810,270,810,1350,1890,810,1890,
810,810,810,1620,3780,2700,1620,1620,2700,1620,1620,3780,3240,1080,3240,1080,
3240,3240,7560,7560,1890,2970,810,1350,1890,810,1890,1890,2970,1890,1890,810,
810,1620,1620,1620,1620,2700,1620,2700,5940,3780,3780,5940,7560,7560,3240,
3240,3240,3240,11880,6480,10800,6480,10800,2520,7560,7560,1080,3240,7560,1080,
3240,1080,1080,1080,2160,2160,2160,2160,1280,1280,7680,3840,3840,576,3456,
3456,1728,1728,240,720,240,5040,3600,720,720,2160,5760,720,720,10560,1440,
1440,1440,1440,4320,1440,2880,2160,2160,2160,720,720,1440,1440,4320,4320,1440,
1440,7200,1440,1920,2880,960,3840,5760,2880,2880,5760,1440,1440,2880,5760,
5760,2880,5760,2880,640,2304,270,18,675,135,315,315,945,945,1485,405,405,405,
1260,1260,1260,810,810,1620,1620,1620,2700,3240,630,270,270,90,630,270,810,
810,810,270,810,810,810,810,810,810,1350,810,810,810,810,1890,270,810,360,
1080,1620,3780,1620,1620,1620,2700,1620,540,3780,1620,1620,3240,7560,1080,
3240,270,90,1350,810,1620,405,945,405,405,810,810,1890,810,810,270,810,810,
1620,1620,540,1620,3780,1620,540,1620,405,1260,180,540,3780,1620,540,3780,
3780,180,540,540,1620,810,810,810,270,810,810,810,810,810,1620,1620,810,810,
810,810,1620,540,1620,1620,1620,270,810,270,810,1620,1620,1620,1890,1890,810,
270,1890,3780,360,2520,1620,1620,1620,1620,2700,1620,1620,1620,1620,540,1620,
1620,2700,3240,3240,3240,1620,2700,1620,1620,1620,1620,1620,540,3240,3240,
1620,1620,1620,1620,1620,1620,540,1620,1620,540,540,1620,1620,1620,540,1620,
540,540,1080,1080,1620,1620,3240,1080,1080,1080,1080,1080,1620,1620,1620,540,
1620,540,540,540,540,540,1080,1080,1080,1080,1080,1080,1080,1080,1080,2160,
1920,960,960,3840,3840,576,1728,1728,360,24,900,180,60,120,720,240,240,720,
480,1440,720,2160,720,720,720,720,360,2160,2160,2160,720,2160,720,720,720,720,
2160,720,720,720,720,720,7200,1440,1440,1440,1440,4320,1440,1440,1440,1440,
1440,1440,1440,1440,720,720,720,720,720,2160,720,720,720,720,1440,4320,1440,
1440,1440,1440,1440,1440,5760,2880,640,1280,1280,96,288,384,576,2304,15,1,30,
90,270,90,135,315,405,405,540,180,810,1890,810,810,810,270,270,810,270,810,
315,315,135,45,945,315,45,405,135,540,180,1890,270,270,90,810,270,90,270,90,
405,405,405,405,810,270,810,810,810,810,135,405,405,135,810,810,810,810,810,
810,270,270,810,270,810,810,270,270,810,810,810,810,540,540,405,135,405,405,
405,135,405,405,180,540,540,540,1620,1620,540,540,1620,1620,1620,1620,1620,
1620,1620,540,540,540,1620,540,540,1620,1620,1620,1260,540,180,1620,1620,1620,
1620,1620,540,270,810,540,1620,270,810,810,270,810,270,810,270,810,270,540,
540,270,810,810,810,810,270,270,270,810,810,1350,1620,1620,3240,810,810,270,
810,810,270,1620,540,1620,1620,540,1620,1620,1620,3240,1620,1620,1620,540,540,
540,540,540,1620,1620,540,540,540,540,540,540,540,540,540,540,540,540,540,540,
540,540,540,540,540,540,540,540,540,1080,540,540,540,540,540,540,540,540,540,
1080,540,1080,1080,1920,960,960,1920,960,960,960,1920,960,36,1728,60,420,60,
180,540,180,720,240,360,2520,1080,720,180,180,540,540,180,720,240,720,240,720,
720,720,720,720,720,360,1080,360,360,360,1080,360,360,720,720,720,720,720,720,
720,720,720,720,720,720,2160,720,720,720,720,720,720,720,4320,1440,720,720,
720,720,720,720,720,1440,1440,640,640,640,576,576,1152,288,288,576,576,45,135,
45,45,135,315,45,45,135,405,135,810,810,810,810,270,90,810,270,90,270,810,270,
405,405,405,135,135,405,405,135,810,270,270,270,135,405,135,405,135,135,135,
405,405,405,405,135,405,405,135,810,270,270,810,810,270,135,270,810,810,270,
270,810,810,270,540,540,270,270,270,810,270,270,270,270,270,270,810,270,270,
810,270,270,810,810,810,810,270,270,270,270,270,270,810,270,270,270,270,270,
540,540,540,540,540,540,1620,540,540,540,540,540,540,540,540,540,1620,540,540,
540,540,240,720,240,960,960,1920,36,108,108,384,384,15,1,30,180,60,60,120,360,
120,120,360,180,180,540,540,180,540,180,180,180,180,180,540,180,540,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,360,360,360,
360,1080,360,360,360,360,360,360,1080,360,360,360,360,360,360,360,720,720,720,
720,720,640,96,288,144,288,288,288,288,576,15,15,45,45,45,135,405,135,135,405,
135,135,135,135,135,405,135,135,405,135,135,405,135,135,135,135,135,405,135,
135,135,135,135,135,135,270,270,270,270,270,270,270,270,270,810,270,810,240,
240,240,240,720,240,240,240,240,36,108,108,216,216,384,384,15,45,15,105,45,
135,60,60,60,90,180,180,180,180,180,180,180,540,180,180,180,180,180,180,180,
180,180,180,180,540,180,180,180,180,180,180,180,180,180,180,180,180,180,360,
360,360,360,360,360,360,360,144,288,288,135,45,45,45,135,135,135,135,135,135,
135,135,135,135,135,60,20,20,120,240,240,240,36,108,108,96,15,15,45,15,15,30,
30,45,135,45,45,135,45,45,45,45,45,90,90,180,180,180,180,180,6,36,144,135,64,
20,20,60,60,60,60,60,60,60,120,108,96,15,15,15,45,15,45,45,45,45,45,45,45,45,
45,45,45,45,90,90,10,18,36,36,64,15,15,60,60,60,24,45,45,45,10,20,20,6,6,18,
18,36,15,15,15,15,15,15,24,10,10,10,18,18,15,15,6,6,10,6,6,1,1],[1,558,945,
1120,106,2640,945,945,3780,3780,7245,9450,2640,6300,3780,2016,5600,10080,
10080,960,945,945,1365,1365,1890,1890,3150,4725,3780,5670,5670,7560,7560,7560,
7560,2640,3780,11340,8820,8820,7560,7560,7560,7560,15120,15120,3150,3150,1890,
1890,1890,4410,6300,7560,15120,2520,5040,280,2016,6048,6048,1680,2520,2520,
1120,3360,7840,16800,10080,1120,3360,4800,126,126,210,210,525,945,945,2835,
2835,3780,3780,5670,5670,630,630,945,840,840,1260,945,3780,3780,3780,630,1260,
1260,2520,1260,1260,1890,1890,1890,1890,3150,3150,1890,1890,2520,2520,3780,
3780,3780,3780,3780,2520,5040,5040,7560,1260,1260,1890,1890,1890,1890,3150,
3150,3150,1890,1890,3780,3780,3780,3780,3780,3780,3780,5040,5040,6300,3780,
5040,5040,7560,15120,15120,15120,15120,2520,5040,5040,2520,2520,2520,2520,280,
840,840,2240,2016,4032,4032,6048,6048,960,2520,2520,4200,4200,3360,5040,5040,
4200,4200,5040,5040,5040,3360,3360,1120,3360,3360,3360,3360,960,960,960,378,
378,945,945,945,630,630,945,945,945,840,840,1260,3780,3780,3780,3780,7560,
1050,1050,630,630,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1260,1260,
1890,1890,2520,2520,1260,1260,3780,3780,3780,3780,3780,5040,5040,1260,630,630,
1890,1890,1260,1260,1890,1890,3780,3780,3780,3780,2520,2520,945,2520,1260,
1260,630,1260,1260,1260,1260,630,1260,2520,1260,2520,2520,2520,2520,2520,1260,
1260,1260,1260,1260,1260,2520,2520,2520,1260,1260,1260,1260,1260,1260,1260,
1260,1260,1260,2520,280,840,840,1680,1680,1120,1120,1120,1120,2016,2016,2016,
4800,210,210,840,840,1680,2520,2520,2520,2520,4200,4200,2520,2520,1680,5040,
5040,5040,5040,840,840,840,840,1680,3360,960,336,1008,1008,21,21,210,210,1260,
1260,1890,1890,1890,1890,1890,1890,1890,1890,315,210,210,1260,1260,630,630,
630,315,315,315,315,630,630,630,630,630,630,945,945,315,945,1260,1260,1260,
1260,1260,1260,2520,630,630,630,630,630,630,630,2520,630,630,2520,1260,1260,
1260,1260,1260,1260,1260,1260,2520,2520,280,840,840,3360,560,560,1120,1120,
1120,1120,126,126,2016,960,960,960,210,210,630,630,420,420,630,630,840,840,
2520,2520,420,420,1260,840,840,840,840,840,840,840,840,1680,840,840,672,672,
672,1008,1008,1008,2016,2016,315,315,210,210,945,630,630,315,315,315,315,630,
630,630,630,630,630,630,630,630,630,630,630,1260,840,280,280,560,560,560,126,
126,378,378,378,378,360,960,210,210,210,210,630,630,630,630,210,210,210,210,
210,210,1260,420,420,420,420,420,420,840,840,336,1008,1008,336,336,336,336,
336,336,105,315,315,315,315,315,315,280,280,280,126,126,378,378,378,378,252,
252,252,252,600,720,168,210,210,210,210,210,210,210,210,210,210,210,210,210,
210,420,336,336,336,315,280,126,126,126,126,126,126,120,360,120,168,336,112,
105,210,210,126,126,120,56,168,56,105,56,21,21,21,21,1,1],[1,318,945,2464,
3840,106,945,945,3780,3780,4725,9450,3780,3780,2016,3360,10080,23520,960,945,
945,945,945,1890,1890,3150,4725,5670,5670,7560,7560,7560,7560,3780,3780,3780,
3780,7560,7560,7560,7560,15120,1890,1890,1890,1890,1890,1890,15120,4760,8960,
2016,6048,6048,960,5376,7560,7560,7840,10080,10080,2880,8064,126,126,525,945,
945,2835,2835,3780,3780,5670,5670,945,945,3780,3780,3780,1890,1890,1890,1890,
1890,1890,1890,1890,3780,3780,3780,3780,1890,1890,1890,1890,1890,1890,1890,
1890,3780,3780,3780,3780,3780,3780,3780,3780,15120,15120,15120,15120,280,840,
840,13440,2016,6048,6048,960,7680,3840,2520,2520,2520,2520,5040,5040,7560,
7560,15120,15120,20160,3360,4480,960,8064,378,378,945,945,945,945,945,945,
3780,3780,3780,3780,7560,630,630,630,630,1890,1890,1890,1890,1890,1890,1890,
1890,1890,1890,1890,1890,3780,3780,3780,3780,1890,1890,1890,1890,3780,3780,
3780,3780,945,2520,280,840,840,7840,2240,1680,1680,2016,2880,504,504,1470,
1470,6720,7560,7560,2520,2520,2520,2520,5040,5040,5040,5040,4480,336,1008,
1008,2016,3840,21,21,1890,1890,1890,1890,1890,1890,1890,1890,630,945,945,945,
280,840,840,3360,3360,126,126,960,960,1920,210,210,630,630,1890,1890,2520,
2520,2520,2520,2520,2520,2520,1120,1008,1008,1008,2016,2016,2016,315,315,945,
3360,840,126,126,378,378,378,378,360,1344,21,21,630,630,630,630,630,630,2520,
1120,336,1008,1008,504,504,960,105,280,840,840,126,126,378,378,378,378,360,
720,168,315,315,210,210,504,504,210,210,126,126,360,168,336,336,105,105,210,
280,126,126,210,210,168,126,126,105,21,21,21,21,1,1],[1,1038,945,2464,3840,
106,7920,945,945,3780,3780,12285,9450,7920,11340,3780,2016,3840,23520,10080,
43680,960,945,945,2205,2205,1890,1890,3150,4725,11340,5670,5670,7560,7560,
7560,7560,7920,3780,26460,18900,18900,7560,7560,7560,7560,45360,15120,5670,
5670,1890,1890,1890,9450,18900,22680,15120,7560,15120,4760,8960,2016,6048,
6048,960,5376,7560,7560,7840,10080,43680,30240,10080,23520,10080,8640,8064,
126,126,630,630,525,945,945,2835,2835,3780,3780,5670,5670,1890,1890,945,2520,
2520,3780,945,3780,3780,3780,1890,3780,3780,7560,3780,3780,1890,1890,1890,
1890,5670,5670,1890,1890,7560,7560,3780,3780,3780,3780,11340,7560,15120,15120,
22680,3780,3780,1890,1890,1890,1890,5670,5670,9450,1890,1890,3780,3780,3780,
3780,3780,3780,3780,15120,15120,11340,11340,15120,15120,22680,15120,15120,
15120,15120,7560,15120,15120,7560,7560,7560,7560,4760,840,840,33600,26880,
2016,12096,12096,6048,6048,960,7680,3840,960,2520,2520,17640,17640,33600,5040,
5040,12600,12600,15120,15120,20160,3360,10080,23520,10080,10080,10080,10080,
4480,960,2880,2880,8064,378,378,945,945,945,1890,1890,945,945,945,2520,2520,
3780,3780,3780,3780,3780,7560,1890,1890,630,630,1890,1890,1890,1890,1890,1890,
1890,1890,1890,1890,3780,3780,1890,1890,7560,7560,3780,3780,3780,3780,11340,
3780,3780,15120,15120,3780,1890,1890,1890,1890,3780,3780,1890,1890,3780,3780,
3780,3780,7560,7560,945,7560,3780,3780,1890,3780,3780,3780,3780,1890,3780,
2520,3780,7560,7560,7560,7560,7560,3780,3780,3780,3780,3780,3780,7560,7560,
7560,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,7560,280,840,840,7840,
2240,1680,1680,16800,3360,3360,3360,2016,6048,6048,8640,3840,504,504,1470,
1470,2520,2520,6720,7560,7560,12600,12600,7560,7560,2520,2520,20160,5040,5040,
5040,5040,2520,2520,7560,7560,20160,10080,4480,8960,2880,336,1008,1008,2016,
8064,3840,21,21,630,630,3780,3780,1890,1890,1890,1890,1890,1890,1890,1890,945,
630,630,3780,3780,630,1890,1890,945,945,945,945,1890,1890,1890,1890,1890,1890,
945,945,945,945,3780,3780,3780,3780,3780,3780,7560,1890,1890,1890,1890,1890,
1890,1890,7560,1890,1890,7560,3780,3780,3780,3780,3780,3780,3780,3780,7560,
7560,280,840,840,3360,7840,1680,1680,3360,3360,3360,6720,3360,3360,3360,126,
126,6048,960,2880,960,1920,2880,1050,1050,630,630,6300,6300,1890,1890,2520,
2520,2520,2520,3780,3780,2520,2520,2520,2520,2520,2520,2520,2520,2520,7560,
7560,20160,2520,2520,1120,4480,2016,2016,2016,1008,1008,1008,2016,2016,2016,
3840,315,315,630,630,945,1890,1890,945,945,945,945,1890,1890,1890,1890,1890,
1890,1890,1890,1890,1890,1890,1890,3780,3360,840,840,840,1680,1680,1680,3360,
126,126,378,378,378,378,360,960,2880,1344,21,21,630,630,1890,1890,630,630,630,
630,630,630,1890,1890,630,630,2520,2520,2520,3780,3780,1260,1260,2520,2520,
2520,2520,1120,1120,1120,336,1008,1008,504,504,1008,1008,1008,1008,1008,1008,
2016,960,105,945,945,945,945,945,945,280,1680,1680,3360,840,840,126,126,378,
378,378,378,756,756,756,756,1080,720,168,1344,210,210,315,315,210,210,630,630,
630,630,1890,1890,630,630,630,630,630,630,2520,1120,504,504,1008,1008,1008,
960,945,210,210,1680,840,126,126,378,378,378,378,360,360,360,168,336,336,336,
105,105,210,315,315,315,315,630,630,280,126,126,504,504,210,210,210,210,210,
210,378,378,360,168,168,168,336,315,315,630,280,126,126,105,210,210,168,21,21,
126,126,105,63,63,21,21,21,21,1,3,1,1],[1,510,3825,5440,170,3825,3825,15300,
15300,19125,38250,15300,15300,13056,5440,81600,81600,3825,3825,3825,3825,7650,
7650,12750,19125,22950,22950,30600,30600,30600,30600,15300,15300,15300,15300,
30600,30600,30600,30600,61200,7650,7650,7650,7650,7650,7650,61200,13600,3264,
97920,48960,16320,30600,30600,27200,81600,81600,32640,510,510,2125,3825,3825,
11475,11475,15300,15300,22950,22950,3825,3825,15300,15300,15300,7650,7650,
7650,7650,7650,7650,7650,7650,15300,15300,15300,15300,7650,7650,7650,7650,
7650,7650,7650,7650,15300,15300,15300,15300,15300,15300,15300,15300,61200,
61200,61200,61200,14400,13600,54400,16320,48960,48960,48960,10200,10200,10200,
10200,20400,20400,30600,30600,61200,61200,81600,27200,4896,32640,32640,32640,
1530,1530,3825,3825,3825,3825,3825,3825,15300,15300,15300,15300,30600,2550,
2550,2550,2550,7650,7650,7650,7650,7650,7650,7650,7650,7650,7650,7650,7650,
15300,15300,15300,15300,7650,7650,7650,7650,15300,15300,15300,15300,3825,
10200,14400,27200,13600,27200,16320,2040,2040,5950,5950,27200,30600,30600,
10200,10200,10200,10200,20400,20400,20400,20400,4896,19584,544,12240,12240,
16320,32640,85,85,7650,7650,7650,7650,7650,7650,7650,7650,2550,3825,3825,3825,
14400,27200,13600,510,510,850,850,2550,2550,7650,7650,10200,10200,10200,10200,
10200,10200,10200,9792,4896,8160,8160,8160,4080,4080,8160,8160,16320,1275,
1275,3825,13600,510,510,1530,1530,1530,1530,5440,85,85,2550,2550,2550,2550,
2550,2550,10200,4896,2720,4080,4080,2040,2040,425,3400,3400,3264,510,510,1530,
1530,1530,1530,1360,5440,1275,1275,850,850,2040,2040,850,850,3264,510,510,
2720,1360,425,425,850,510,510,850,850,510,510,425,272,85,85,120,120,136,136,
120,120,85,85,1],[1,1870,3825,5440,170,20400,3825,3825,15300,15300,49725,
38250,20400,45900,15300,13056,59840,81600,136000,3825,3825,8925,8925,7650,
7650,12750,19125,45900,22950,22950,30600,30600,30600,30600,20400,15300,107100,
76500,76500,30600,30600,30600,30600,183600,61200,22950,22950,7650,7650,7650,
38250,76500,91800,61200,30600,61200,13600,13056,97920,97920,16320,30600,30600,
27200,81600,136000,244800,81600,81600,81600,32640,510,510,2550,2550,2125,3825,
3825,11475,11475,15300,15300,22950,22950,7650,7650,3825,10200,10200,15300,
3825,15300,15300,15300,7650,15300,15300,30600,15300,15300,7650,7650,7650,7650,
22950,22950,7650,7650,30600,30600,15300,15300,15300,15300,45900,30600,61200,
61200,91800,15300,15300,7650,7650,7650,7650,22950,22950,38250,7650,7650,15300,
15300,15300,15300,15300,15300,15300,61200,61200,45900,45900,61200,61200,91800,
61200,61200,61200,61200,30600,61200,61200,30600,30600,30600,30600,14400,13600,
13600,13600,108800,16320,32640,195840,97920,48960,10200,10200,71400,71400,
108800,20400,20400,51000,51000,61200,61200,81600,27200,81600,81600,81600,
81600,81600,81600,4896,32640,32640,32640,1530,1530,3825,3825,3825,7650,7650,
3825,3825,3825,10200,10200,15300,15300,15300,15300,15300,30600,7650,7650,2550,
2550,7650,7650,7650,7650,7650,7650,7650,7650,7650,7650,15300,15300,7650,7650,
30600,30600,15300,15300,15300,15300,45900,15300,15300,61200,61200,15300,7650,
7650,7650,7650,15300,15300,7650,7650,15300,15300,15300,15300,30600,30600,3825,
30600,15300,15300,7650,15300,15300,15300,15300,7650,15300,10200,15300,30600,
30600,30600,30600,30600,15300,15300,15300,15300,15300,15300,30600,30600,30600,
15300,15300,15300,15300,15300,15300,15300,15300,15300,15300,30600,14400,13600,
27200,27200,54400,54400,54400,16320,97920,48960,2040,2040,5950,5950,10200,
10200,27200,30600,30600,51000,51000,30600,30600,10200,10200,81600,20400,20400,
20400,20400,10200,10200,30600,30600,81600,81600,4896,29376,544,12240,12240,
16320,32640,32640,32640,85,85,2550,2550,15300,15300,7650,7650,7650,7650,7650,
7650,7650,7650,3825,2550,2550,15300,15300,2550,7650,7650,3825,3825,3825,3825,
7650,7650,7650,7650,7650,7650,3825,3825,3825,3825,15300,15300,15300,15300,
15300,15300,30600,7650,7650,7650,7650,7650,7650,7650,30600,7650,7650,30600,
15300,15300,15300,15300,15300,15300,15300,15300,30600,30600,14400,13600,27200,
27200,27200,54400,27200,510,510,48960,4250,4250,2550,2550,25500,25500,7650,
7650,10200,10200,10200,10200,15300,15300,10200,10200,10200,10200,10200,10200,
10200,10200,10200,30600,30600,81600,10200,10200,4896,14688,14688,5440,24480,
24480,8160,12240,12240,8160,8160,16320,32640,1275,1275,2550,2550,3825,7650,
7650,3825,3825,3825,3825,7650,7650,7650,7650,7650,7650,7650,7650,7650,7650,
7650,7650,15300,14400,13600,13600,27200,510,510,1530,1530,1530,1530,5440,85,
85,2550,2550,7650,7650,2550,2550,2550,2550,2550,2550,7650,7650,2550,2550,
10200,10200,10200,15300,15300,5100,5100,10200,10200,10200,10200,4896,14688,
14688,2720,4080,4080,2040,2040,4080,4080,8160,12240,12240,8160,16320,425,3825,
3825,3825,3825,3825,3825,6800,6800,13600,3264,510,510,1530,1530,1530,1530,
3060,3060,3060,3060,1360,5440,5440,5440,850,850,1275,1275,850,850,2550,2550,
2550,2550,7650,7650,2550,2550,2550,2550,2550,2550,10200,4896,2040,2040,4080,
4080,8160,3825,850,850,6800,3264,510,510,1530,1530,1530,1530,1360,2720,2720,
5440,425,425,850,1275,1275,1275,1275,2550,2550,510,510,2040,2040,850,850,850,
850,850,850,3264,1530,1530,1360,2720,1275,1275,2550,510,510,425,850,850,272,
85,85,510,510,120,120,425,272,272,272,255,255,120,120,85,85,272,120,120,85,85,
1,1],[1,24990,187425,266560,3998400,8330,999600,437325,437325,5247900,5247900,
3935925,7871850,2998800,5247900,15743700,3358656,3998400,5597760,27988800,
83966400,27988800,83966400,652800,1142400,13708800,1311975,1311975,1311975,
1311975,1499400,1499400,2623950,2623950,2623950,3935925,5247900,7871850,
7871850,10495800,10495800,10495800,10495800,2998800,5247900,15743700,15743700,
15743700,31487400,31487400,31487400,31487400,31487400,31487400,62974800,
62974800,7871850,7871850,7871850,7871850,7871850,7871850,15743700,31487400,
31487400,31487400,62974800,10495800,10495800,10495800,62974800,2332400,
37318400,3358656,50379840,50379840,999600,7996800,55977600,2798880,6997200,
6997200,13994400,13994400,20991600,20991600,9329600,27988800,27988800,
27988800,27988800,83966400,83966400,83966400,83966400,83966400,27988800,
83966400,83966400,83966400,13708800,23990400,95961600,33586560,174930,174930,
187425,187425,437325,437325,437325,1311975,1311975,3935925,3935925,5247900,
5247900,7871850,7871850,1311975,1311975,3935925,3935925,3935925,5247900,
5247900,5247900,7871850,7871850,3935925,15743700,15743700,15743700,2623950,
2623950,2623950,2623950,7871850,2623950,2623950,7871850,7871850,15743700,
15743700,15743700,15743700,15743700,15743700,31487400,7871850,7871850,7871850,
7871850,7871850,7871850,7871850,7871850,7871850,7871850,7871850,7871850,
15743700,15743700,15743700,15743700,15743700,15743700,15743700,15743700,
15743700,31487400,31487400,31487400,31487400,31487400,31487400,31487400,
31487400,7871850,7871850,7871850,7871850,7871850,7871850,7871850,7871850,
7871850,7871850,7871850,7871850,7871850,15743700,15743700,15743700,15743700,
15743700,15743700,15743700,15743700,15743700,15743700,15743700,31487400,
31487400,31487400,31487400,31487400,31487400,31487400,62974800,62974800,
62974800,62974800,10495800,31487400,31487400,31487400,31487400,31487400,
31487400,31487400,31487400,31487400,31487400,62974800,62974800,62974800,
62974800,29635200,2332400,6997200,37318400,6997200,55977600,111955200,
111955200,16793280,33586560,100759680,50379840,50379840,1142400,9139200,
31987200,63974400,95961600,31987200,31987200,999600,7996800,6997200,6997200,
20991600,20991600,20991600,20991600,20991600,167932800,20991600,20991600,
27988800,41983200,41983200,41983200,41983200,41983200,41983200,83966400,
83966400,20991600,20991600,20991600,20991600,20991600,41983200,41983200,
41983200,41983200,41983200,41983200,41983200,41983200,41983200,27988800,
27988800,27988800,27988800,27988800,83966400,83966400,83966400,41983200,
41983200,41983200,83966400,83966400,83966400,83966400,83966400,83966400,
3358656,18659200,7996800,7996800,23990400,33586560,33586560,33586560,524790,
524790,1311975,1311975,1311975,1311975,3935925,3935925,3935925,3935925,
3935925,3935925,5247900,5247900,5247900,7871850,7871850,15743700,15743700,
15743700,15743700,31487400,2623950,2623950,2623950,2623950,2623950,2623950,
7871850,7871850,7871850,7871850,7871850,7871850,7871850,7871850,7871850,
7871850,7871850,7871850,7871850,7871850,7871850,7871850,7871850,7871850,
10495800,10495800,15743700,15743700,15743700,15743700,15743700,15743700,
15743700,15743700,15743700,15743700,15743700,31487400,31487400,31487400,
31487400,2623950,2623950,7871850,7871850,15743700,3935925,3935925,3935925,
3935925,7871850,7871850,7871850,7871850,7871850,7871850,7871850,7871850,
15743700,15743700,15743700,15743700,15743700,15743700,15743700,15743700,
3935925,5247900,5247900,5247900,15743700,15743700,15743700,15743700,15743700,
5247900,5247900,15743700,15743700,7871850,7871850,7871850,7871850,7871850,
7871850,7871850,7871850,7871850,15743700,15743700,7871850,7871850,7871850,
7871850,15743700,15743700,15743700,15743700,15743700,7871850,7871850,7871850,
7871850,15743700,15743700,15743700,7871850,7871850,7871850,7871850,7871850,
15743700,10495800,10495800,15743700,15743700,15743700,15743700,15743700,
15743700,15743700,15743700,15743700,15743700,15743700,15743700,15743700,
31487400,31487400,31487400,15743700,15743700,15743700,15743700,15743700,
15743700,15743700,15743700,31487400,31487400,15743700,15743700,15743700,
15743700,15743700,15743700,15743700,15743700,15743700,15743700,15743700,
15743700,15743700,15743700,15743700,15743700,15743700,15743700,31487400,
31487400,15743700,15743700,31487400,31487400,31487400,31487400,31487400,
31487400,15743700,15743700,15743700,15743700,15743700,15743700,15743700,
15743700,15743700,15743700,31487400,31487400,31487400,31487400,31487400,
31487400,31487400,31487400,31487400,62974800,29635200,2332400,6997200,6997200,
9329600,18659200,27988800,27988800,27988800,13994400,13994400,27988800,
27988800,111955200,27988800,27988800,16793280,50379840,50379840,23990400,
95961600,31987200,31987200,95961600,699720,699720,1749300,1749300,1749300,
1749300,3498600,3498600,6997200,6997200,6997200,6997200,13994400,13994400,
13994400,20991600,20991600,20991600,20991600,20991600,20991600,10495800,
10495800,20991600,20991600,20991600,20991600,20991600,20991600,20991600,
20991600,20991600,20991600,20991600,20991600,20991600,20991600,20991600,
41983200,41983200,41983200,41983200,41983200,41983200,41983200,41983200,
41983200,41983200,41983200,41983200,41983200,41983200,41983200,20991600,
20991600,20991600,20991600,20991600,20991600,20991600,20991600,20991600,
20991600,41983200,41983200,41983200,41983200,41983200,41983200,41983200,
41983200,41983200,41983200,41983200,41983200,83966400,83966400,244800,1305600,
1958400,3358656,20151936,18659200,37318400,37318400,11995200,11995200,
23990400,559776,8396640,8396640,11195520,16793280,33586560,33586560,33586560,
31987200,31987200,29155,29155,874650,874650,2623950,2623950,1311975,1311975,
3935925,3935925,5247900,5247900,7871850,7871850,7871850,7871850,7871850,
7871850,7871850,7871850,7871850,7871850,1311975,1311975,1311975,1311975,
3935925,1311975,1311975,3935925,3935925,5247900,5247900,7871850,7871850,
2623950,2623950,7871850,7871850,2623950,2623950,2623950,3935925,3935925,
3935925,3935925,7871850,7871850,7871850,7871850,7871850,7871850,3935925,
3935925,3935925,3935925,7871850,7871850,7871850,7871850,7871850,7871850,
7871850,7871850,7871850,7871850,7871850,7871850,7871850,7871850,7871850,
7871850,7871850,7871850,15743700,15743700,3935925,3935925,3935925,3935925,
3935925,3935925,3935925,3935925,5247900,5247900,15743700,15743700,15743700,
15743700,15743700,15743700,15743700,15743700,15743700,15743700,15743700,
15743700,15743700,15743700,15743700,15743700,15743700,15743700,15743700,
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8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,10,10,
10,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,14,
14,14,15,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,17,18,18,
18,18,18,18,18,20,20,20,20,20,21,21,21,21,21,21,21,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,25,27,28,28,28,30,30,30,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,34,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,40,40,40,42,42,42,42,42,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,49,49,
49,50,50,54,54,54,56,56,56,60,60,60,60,60,60,60,60,63,63,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,68,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,75,80,80,80,84,84,84,84,
84,84,84,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,96,98,98,100,100,100,108,108,108,108,112,112,120,120,120,120,120,120,
120,120,120,120,120,126,126,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,136,144,144,144,144,144,
144,144,144,144,144,144,144,144,144,144,147,147,147,147,147,147,150,160,160,
160,160,160,160,168,168,168,168,168,168,168,168,168,168,180,180,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,196,200,200,200,216,
216,216,216,240,240,240,240,240,240,240,240,240,240,240,240,252,252,256,256,
256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,
256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,
256,256,256,256,256,256,256,288,288,288,288,288,288,288,288,288,288,288,288,
288,288,288,288,288,288,294,294,300,300,320,320,320,320,320,320,320,320,320,
320,336,336,336,336,336,336,336,336,343,360,360,360,360,360,384,384,384,384,
384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,
384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,
384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,
384,384,384,384,384,384,384,384,384,384,384,392,392,392,400,432,441,480,480,
480,480,480,504,504,504,504,512,512,512,512,512,512,512,512,512,512,512,512,
512,512,512,576,576,576,576,576,576,576,576,576,576,576,576,588,600,600,640,
640,640,640,640,640,672,672,672,686,720,720,720,720,720,768,768,768,768,768,
768,768,768,768,768,768,768,768,768,768,768,768,768,768,768,768,768,768,768,
768,768,768,768,768,768,784,864,896,960,960,960,960,960,960,1008,1024,1029,
1029,1029,1080,1152,1152,1152,1152,1152,1152,1152,1152,1152,1152,1152,1152,
1152,1152,1176,1176,1176,1200,1200,1280,1280,1344,1344,1344,1440,1440,1440,
1440,1536,1536,1536,1536,1536,1536,1536,1536,1536,1536,1536,1536,1536,1536,
1536,1536,1536,1536,1536,1536,1536,1536,1536,1728,1728,1728,1920,1920,1920,
1920,1920,1920,2016,2058,2058,2160,2304,2304,2304,2304,2304,2304,2304,2352,
2352,2688,2688,2688,2688,2688,2880,2880,2880,3072,3072,3072,3072,3087,3456,
3456,3456,3456,3456,3456,3528,3600,3840,3840,3840,3840,3840,3840,3840,3840,
3840,3840,4032,4080,4080,4608,4608,4608,4608,4608,4608,4608,4608,4608,5760,
5760,6174,6912,6912,6912,6912,6912,6912,7200,7200,7200,7560,7680,7680,7680,
7680,8160,8160,9216,9216,9216,11520,11520,11520,11520,13824,13824,14400,15120,
16320,16320,16464,21504,23040,23040,23040,23040,69120,69120,80640,138240,
138240,161280,241920,483840,979200,1958400,4030387200],
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1296,1551,1528,1488,1122,619,1118,619,1652,1626,1330,1618,1617,1615,1616,1611,
1610,1584,1583,1582,1529,1518,1451,1452,1363,1364,1366,1365,1557,1518,1291,
1291,1291,1030,1029,1030,1029,1056,1055,787,724,1444,1445,1453,1454,1448,1456,
1291,1075,1076,1031,724,1412,1413,1414,837,1587,972,1551,877,877,1638,1443,
856,1561,1469,1468,1322,1321,1241,1240,1433,1122,1120,1121,1118,618,619,619,
618,619,1118,619,619,618,1330,1146,539,985,1686,1687,1683,1683,1669,1670,1671,
1618,1617,1529,1529,1515,1514,1454,1453,1617,1618,1529,1529,1529,1514,1515,
1518,1447,1446,1529,1266,1265,1297,1579,1578,1581,1580,1456,1584,1583,1454,
1453,1266,1265,1295,1297,1266,1265,1031,1453,1454,1453,1454,1453,1454,1454,
1453,1445,1444,1444,1445,1281,1282,1265,1266,1266,1265,1265,1266,1291,1054,
1053,1075,1076,1031,1031,1031,1031,1444,1445,1453,1454,1454,1453,1445,1444,
1445,1444,1456,1454,1453,1295,1281,1282,1266,1265,1266,1265,1291,1291,1291,
1291,1031,1031,1076,1075,1076,1075,1031,724,724,724,724,1414,988,988,1055,
1056,988,1055,1056,1098,1055,1056,837,837,837,837,1108,1587,1470,972,1470,860,
532,532,1261,985,536,877,877,1626,1434,987,639,539,986,987,1638,1443,1468,
1469,1237,1238,1240,1241,1239,258,1240,1241,1123,915,914,913,912,917,916,588,
589,1237,1238,1239,1241,1240,914,915,917,916,913,912,949,951,950,1123,1121,
1120,1122,1118,619,619,618,963,961,962,619,618,618,619,618,619,1552,1249,1443,
1442,1146,985,985,985,1663,1664,1615,1616,1617,1618,1529,1529,1529,1529,1529,
1529,1514,1515,1518,1447,1446,1265,1266,1266,1265,1031,1564,1565,1571,1570,
1583,1584,1445,1444,1453,1454,1453,1454,1445,1444,1444,1445,1454,1453,1445,
1444,1444,1445,1454,1453,1396,1395,1291,1291,1282,1281,1266,1265,1266,1265,
1291,1266,1265,1031,1031,1076,1075,1584,1583,1454,1453,1295,1529,1529,1529,
1529,1445,1444,1444,1445,1453,1454,1447,1446,1266,1265,1265,1266,1273,1274,
1272,1271,1529,1518,1517,1516,1291,1302,1301,1291,1291,1497,1496,1265,1266,
1444,1445,1453,1454,1456,1453,1454,1445,1444,1265,1266,1453,1454,1445,1444,
1266,1265,1291,1281,1282,1454,1453,1454,1453,1265,1266,1295,1444,1445,1453,
1454,1456,1291,1426,1414,1297,1266,1265,1266,1265,1266,1265,1265,1266,1265,
1266,1266,1265,1031,1031,1031,1266,1265,1266,1265,1266,1265,1266,1265,1031,
1031,1291,1291,1291,1291,1291,1291,1301,1302,1291,1302,1301,1291,1291,1291,
1300,1299,1300,1299,1076,1075,1291,1291,997,998,1076,1075,1087,1087,1265,1266,
1266,1265,1297,1300,1299,1302,1301,1296,1055,1056,1056,1055,1055,1056,1055,
1056,1088,837,1108,1587,1470,1470,1433,1246,1122,1120,1121,1323,1328,1117,
1116,532,1118,1118,1261,877,877,1146,539,986,987,542,1651,1650,1604,1603,1601,
1602,1547,1546,1468,1469,1469,1468,1321,1322,1318,1237,1238,1240,1241,1241,
1240,1428,1427,1237,1238,1239,1238,1237,1241,1240,1238,1237,1239,1239,1240,
1241,1241,1240,949,913,912,916,917,917,916,951,950,914,915,913,912,915,914,
1238,1237,1239,1241,1240,1238,1237,1241,1240,1239,951,950,949,962,961,963,963,
962,961,962,961,963,618,619,1682,1619,1596,1552,1245,1249,972,971,1349,1350,
1146,1661,1438,1437,1355,1261,985,985,985,986,987,1691,1692,1644,1645,1578,
1579,1616,1615,1529,1529,1512,1513,1445,1444,1444,1445,1453,1454,1445,1444,
1454,1453,1617,1618,1618,1617,1529,1615,1616,1529,1529,1512,1513,1444,1445,
1584,1583,1453,1454,1582,1580,1581,1529,1529,1529,1529,1446,1447,1444,1445,
1445,1444,1529,1529,1529,1529,1445,1444,1445,1444,1445,1444,1453,1454,1444,
1445,1444,1445,1452,1451,1445,1444,1445,1444,1271,1272,1529,1529,1529,1529,
1529,1529,1529,1529,1517,1516,1300,1299,1291,1291,1300,1299,1291,1291,1291,
1291,1291,1291,1291,1302,1301,1301,1302,1302,1301,1291,1291,1291,1518,1516,
1517,1291,1291,1291,1291,1302,1301,1454,1453,1265,1266,1454,1453,1444,1445,
1444,1445,1444,1445,1444,1445,1272,1271,1454,1453,1444,1445,1456,1454,1453,
1454,1453,1453,1454,1266,1265,1031,1445,1444,1454,1453,1456,1448,1266,1265,
1266,1265,1265,1266,1266,1265,1031,1291,1291,1291,1300,1299,1301,1302,1265,
1266,1266,1265,1302,1301,1300,1299,1301,1302,1299,1300,1299,1300,1302,1301,
1301,1302,1300,1299,1296,1296,1300,1299,1301,1302,1087,1296,1299,1300,1302,
1301,1302,1301,1299,1300,1087,1296,1088,1088,1108,1587,1470,1470,1114,1433,
1122,1120,1121,1328,1328,1123,1120,1121,1122,1116,1118,1122,868,1123,1121,
1120,1119,1118,1332,1637,1636,877,1443,1442,1443,1442,1263,1262,1146,1603,
1604,1602,1601,1514,1515,1512,1513,1466,1465,1396,1395,1394,1393,1221,1222,
1516,1517,1518,1515,1514,1513,1512,1468,1469,1468,1469,1241,1240,1241,1240,
1238,1237,1393,1394,1396,1395,1423,1422,1420,1421,1426,1427,1428,1238,1237,
1239,1240,1241,1238,1237,1240,1241,1239,1238,1237,1238,1237,1241,1240,1239,
1239,1240,1241,949,950,951,1237,1238,1239,1240,1241,1232,1233,1231,1230,961,
962,963,1682,1330,1552,1432,1432,1433,1249,1249,1249,1350,1349,1488,1258,1259,
978,1439,1438,1437,1251,1252,1261,985,986,987,1683,1616,1615,1617,1618,1615,
1616,1617,1618,1529,1529,1445,1444,1444,1445,1580,1581,1444,1445,1583,1584,
1453,1454,1529,1529,1529,1529,1529,1529,1529,1529,1444,1445,1446,1447,1529,
1529,1529,1529,1529,1529,1529,1529,1529,1529,1529,1529,1529,1529,1529,1444,
1445,1445,1444,1444,1445,1529,1445,1444,1444,1445,1445,1444,1444,1445,1272,
1271,1453,1454,1445,1444,1453,1454,1453,1454,1454,1453,1444,1445,1445,1444,
1453,1454,1445,1444,1445,1444,1453,1454,1454,1453,1454,1453,1444,1445,1454,
1453,1454,1453,1295,1297,1301,1302,1299,1300,1291,1301,1302,1300,1299,1296,
1299,1300,1302,1301,1291,1302,1301,1299,1300,1108,1469,1468,1467,1466,1465,
1470,1470,1470,1328,1328,1323,1120,1121,1122,1123,1619,1471,1434,1330,1434,
1434,1332,1636,1637,1554,1553,1554,1553,1638,1626,1347,1345,1346,1443,1442,
1349,1350,1146,1488,1355,1691,1692,1645,1644,1603,1604,1602,1601,1547,1546,
1418,1419,1547,1546,1546,1547,1512,1513,1512,1513,1514,1515,1514,1515,1513,
1512,1515,1514,1512,1513,1514,1515,1515,1514,1513,1512,1516,1517,1518,1518,
1517,1516,1518,1513,1512,1514,1515,1517,1516,1517,1516,1518,1518,1517,1516,
1518,1517,1516,1517,1516,1518,1420,1421,1422,1423,1426,1394,1393,1421,1420,
1396,1395,1422,1423,1393,1394,1395,1396,1424,1425,1426,1428,1427,1428,1427,
1426,1428,1427,1237,1238,1239,1240,1241,1519,1552,1432,1432,1433,1433,1433,
1249,1561,1438,1437,1527,1526,1437,1438,1439,1437,1438,1439,1261,1442,1443,
1671,1670,1669,1615,1616,1529,1529,1529,1529,1529,1529,1529,1529,1529,1529,
1529,1529,1529,1529,1529,1529,1529,1529,1529,1529,1529,1529,1529,1529,1529,
1529,1529,1529,1529,1529,1454,1453,1453,1454,1453,1454,1454,1453,1445,1444,
1445,1444,1587,1467,1467,1465,1466,1466,1465,1467,1469,1468,1466,1465,1470,
1469,1468,1468,1469,1470,1471,1330,1551,1332,1637,1636,1553,1554,1553,1554,
1477,1476,1479,1478,1557,1481,1345,1346,1347,1348,1349,1350,1652,1614,1488,
1488,1355,1488,1670,1669,1671,1671,1615,1616,1603,1604,1602,1601,1584,1583,
1512,1513,1515,1514,1515,1514,1513,1512,1515,1514,1512,1513,1517,1516,1518,
1518,1515,1514,1513,1512,1514,1515,1512,1513,1514,1515,1512,1513,1509,1508,
1517,1516,1516,1517,1518,1518,1518,1516,1517,1517,1516,1516,1517,1516,1517,
1518,1518,1416,1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,1427,1428,
1606,1605,1519,1552,1433,1434,1527,1526,1437,1438,1439,1528,1441,1442,1443,
1618,1617,1616,1615,1529,1529,1529,1529,1529,1529,1529,1529,1529,1529,1529,
1656,1655,1653,1654,1546,1547,1465,1466,1467,1468,1469,1470,1471,1552,1551,
1636,1637,1554,1553,1554,1553,1638,1557,1557,1596,1614,1559,1561,1560,1488,
1671,1671,1669,1670,1670,1669,1641,1645,1644,1615,1616,1616,1615,1616,1615,
1615,1616,1616,1615,1583,1584,1583,1584,1512,1513,1514,1515,1516,1517,1518,
1519,1587,1607,1686,1687,1636,1637,1526,1527,1528,1529,1652,1652,1619,1597,
1654,1653,1655,1656,1601,1602,1603,1604,1604,1603,1601,1602,1546,1547,1626,
1606,1605,1551,1552,1553,1554,1610,1611,1557,1614,1614,1614,1561,1671,1671,
1670,1669,1670,1669,1615,1616,1615,1616,1615,1616,1616,1615,1615,1616,1618,
1617,1618,1617,1582,1583,1584,1677,1676,1587,1663,1664,1634,1635,1637,1636,
1638,1652,1596,1597,1671,1670,1669,1601,1602,1603,1604,1605,1606,1607,1608,
1609,1610,1611,1650,1651,1614,1615,1616,1617,1618,1652,1677,1676,1656,1655,
1653,1654,1626,1678,1684,1685,1687,1686,1663,1664,1663,1664,1636,1637,1638,
1680,1681,1671,1671,1671,1670,1669,1670,1669,1669,1670,1650,1651,1652,1677,
1676,1676,1677,1677,1676,1678,1678,1678,1679,1663,1664,1665,1666,1681,1680,
1669,1670,1671,1684,1685,1687,1686,1676,1677,1678,1679,1680,1681,1682,1683,
1684,1685,1686,1687,1692,1691,1695,1691,1692,1693,1695,1695,1697,1697,1698],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,4,4,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,2,3,1,1,1,1,1,1,1,1,1,1,1,3,3,3,1,1,1,17,17,1,
7,6,7,6,8,9,8,9,10,11,1,1,1,1,4,4,5,5,4,5,4,5,1,1,24,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,1,1,1,1,3,3,1,3,3,3,2,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,2,2,3,3,3,3,2,3,3,3,3,3,3,3,3,3,3,3,3,1,3,3,16,16,16,16,
1,72,72,73,1,4,5,4,1,17,17,17,17,25,24,24,25,26,1,1,77,78,82,81,82,81,86,85,
77,79,86,85,80,86,85,86,85,82,81,84,83,9,8,7,10,11,10,11,9,8,11,10,6,9,8,4,5,
5,4,22,23,23,22,70,69,68,3,2,4,5,22,23,1,4,1,1,1,4,17,104,1,1,1,1,3,3,3,3,3,3,
3,3,2,2,3,3,3,3,3,3,3,3,8,9,9,8,8,9,8,9,9,8,9,8,8,9,9,8,8,9,8,9,9,8,8,9,11,10,
12,12,12,12,9,8,9,8,12,9,8,12,12,11,10,9,8,8,9,12,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,2,2,3,3,1,3,3,3,3,3,3,3,3,8,9,8,9,3,3,3,3,3,9,8,8,9,8,9,9,8,8,9,9,8,12,12,
12,8,9,8,9,8,9,12,3,3,3,3,3,3,2,3,12,9,8,9,8,9,8,8,9,8,9,9,8,12,12,12,3,3,3,3,
3,3,3,3,3,2,9,8,12,12,9,8,9,8,12,8,9,8,9,12,9,8,9,8,11,10,8,9,12,12,11,10,12,
12,8,9,9,8,12,9,8,8,9,3,16,16,16,16,16,16,16,16,2,16,229,1,72,72,6,6,7,8,9,72,
72,72,72,73,4,4,17,17,17,25,26,5,248,24,105,106,111,111,105,106,109,110,9,8,7,
7,9,8,6,9,8,11,10,10,11,140,139,82,81,77,81,82,85,86,81,82,77,77,86,85,85,86,
80,86,85,81,82,82,81,84,83,85,86,86,85,86,85,8,9,7,10,11,81,82,85,86,77,84,83,
80,294,293,70,70,68,69,294,293,70,22,23,1,1,1,301,17,302,73,72,31,32,2,631,
632,633,634,6,104,17,104,25,24,1,1,8,9,9,8,9,8,9,8,10,11,12,12,9,8,9,8,8,9,8,
9,3,3,3,3,3,8,9,8,9,10,11,12,12,9,8,9,8,2,9,8,9,8,9,8,9,8,12,12,8,9,9,8,8,9,9,
8,9,8,12,12,9,8,12,12,12,12,12,12,8,9,8,9,10,11,3,3,3,3,3,3,3,3,28,27,33,34,
36,36,33,34,36,36,36,36,36,36,36,34,33,30,29,34,33,36,36,36,3,27,28,36,36,36,
36,29,30,8,9,8,9,8,9,8,9,8,9,12,12,12,12,11,10,8,9,9,8,12,8,9,8,9,9,8,9,8,12,
8,9,8,9,12,12,9,8,9,8,8,9,9,8,12,8,9,12,59,60,59,60,8,9,9,8,60,59,59,60,33,34,
34,33,34,33,29,30,33,34,28,27,16,16,59,60,59,60,62,16,27,28,29,30,60,59,60,59,
62,16,62,62,229,72,72,72,72,523,525,526,527,72,72,87,89,90,88,231,233,77,78,
80,82,81,72,22,301,106,105,76,25,25,6,7,303,304,25,546,545,548,547,546,545,
547,548,543,544,548,547,545,546,550,549,400,399,398,111,111,106,105,77,77,82,
81,85,86,85,86,81,82,111,111,106,105,109,110,106,105,443,139,140,271,270,272,
274,273,81,82,86,85,77,271,270,271,270,273,274,272,272,274,273,281,283,282,30,
29,37,28,27,140,139,565,564,293,294,70,620,24,301,301,301,87,302,302,302,32,
31,631,633,632,634,631,632,633,632,633,237,104,247,248,3,9,8,28,27,29,30,28,
27,29,30,36,36,36,36,112,113,112,113,8,9,9,8,8,9,12,36,28,27,29,30,29,30,28,
27,36,36,36,36,36,36,8,9,12,8,9,28,27,29,30,36,36,36,36,29,30,36,113,112,112,
113,113,112,112,113,114,115,59,60,8,9,28,27,30,29,34,33,36,36,36,36,59,60,36,
36,36,36,33,34,34,33,34,33,36,36,60,59,60,59,62,62,184,183,190,191,36,184,183,
191,190,130,190,191,183,184,36,183,184,190,191,229,110,109,111,105,106,72,231,
231,230,233,72,526,527,525,523,621,620,621,622,24,25,301,876,875,876,875,105,
106,1137,1138,1139,1140,1141,78,77,628,629,102,631,634,641,642,644,643,111,
111,106,105,644,643,646,645,109,110,106,105,547,548,547,548,546,545,546,545,
548,547,545,546,105,106,111,111,545,546,548,547,901,902,903,903,902,901,903,
106,105,111,111,902,901,902,901,398,398,399,400,903,399,400,399,400,398,544,
543,550,549,443,545,546,543,544,548,547,550,549,546,545,547,548,682,681,926,
564,565,140,139,926,564,565,270,271,272,274,273,620,623,623,301,969,520,523,
625,631,632,633,106,105,633,632,631,633,632,631,635,304,303,111,8,9,111,111,
113,112,115,114,112,113,115,114,112,113,112,113,113,112,112,113,36,36,114,115,
115,114,36,130,130,130,124,130,124,111,190,191,184,183,191,190,183,184,113,
112,113,112,230,545,546,548,547,543,544,1111,1109,1110,1112,1113,233,552,551,
554,553,521,620,622,631,301,106,105,875,876,875,876,875,876,875,876,1137,1137,
1140,1141,1139,1348,628,629,24,1352,631,1147,1148,1147,1150,1149,1150,1149,
642,641,546,545,548,547,644,643,547,548,545,546,904,905,906,907,904,905,907,
906,902,901,903,903,904,905,906,907,311,312,309,310,546,545,547,548,1151,1152,
902,901,901,902,903,903,903,400,399,902,901,901,902,901,902,398,903,1158,1157,
1159,1160,924,925,923,922,682,681,926,927,928,964,964,620,623,969,621,875,876,
981,980,979,1137,1138,881,880,112,113,312,311,724,311,312,724,724,318,319,724,
315,318,319,641,642,641,642,643,644,1113,1112,1111,1110,1109,852,1125,1243,
1331,876,875,876,875,876,875,1137,1137,1137,620,1352,1352,1250,1352,1147,642,
641,641,642,1265,1266,1264,644,643,1150,1149,1149,1150,1149,1150,642,641,1149,
1150,1152,1151,1152,1151,907,906,905,904,901,902,903,1242,1311,988,1522,1523,
641,642,1254,1253,1440,724,1351,1351,621,1533,1462,1461,1460,1459,1156,1155,
1153,1154,1150,1149,1149,1150,1463,1464,1138,1429,1430,1331,1243,1136,1135,
1555,1556,1343,1352,1352,1352,1486,1150,1149,1150,1149,1493,1494,1361,1362,
1361,1362,990,989,1149,1150,1361,1362,1494,1493,1266,1265,1495,1368,1367,1149,
1150,1520,1522,1523,1522,1523,1333,1334,1480,1530,1351,1533,1264,1265,1266,
1461,1462,1459,1460,1550,1549,1521,1608,1609,1555,1556,1523,1522,1484,1361,
1362,1493,1494,1351,1585,1586,1459,1460,1461,1462,1548,1627,1628,1629,1523,
1522,1522,1523,1522,1523,1524,1525,1594,1639,1640,1598,1490,1489,1599,1600,
1492,1491,1494,1493,1612,1613,1530,1585,1586,1586,1585,1585,1586,1627,1627,
1627,1662,1588,1589,1628,1629,1640,1639,1600,1599,1598,1628,1629,1630,1631,
1621,1620,1627,1662,1639,1640,1682,1683,1672,1673,1675,1674,1688,1689,1690,
1689,1688,1690,1690,1694,1696,1696,1698],
[( 1,1505)( 2, 253)( 4,1249)( 5, 282)( 6, 113)( 7, 276)( 8,1213)
( 10,1588)( 11,1108)( 12,1451)( 13,1874)( 14, 318)( 15, 92)( 16,1257)
( 17, 919)( 18,2008)( 19,1913)( 20, 59)( 21,1400)( 22, 952)( 23,1486)
( 24,1175)( 25,1641)( 26, 626)( 27,1276)( 28,1129)( 30, 453)( 31, 738)
( 32,1861)( 33,1355)( 34,1226)( 35,1402)( 36, 242)( 37,1311)( 38,1952)
( 39,1970)( 40, 931)( 41,1305)( 42, 250)( 43,1732)( 44, 235)( 45, 885)
( 46,1339)( 47, 470)( 49, 726)( 51, 500)( 52, 613)( 53, 575)( 54,1231)
( 55, 636)( 56,1542)( 57,1916)( 58,1145)( 60, 692)( 61,1824)( 62,1780)
( 63,1239)( 64, 736)( 65, 189)( 67, 498)( 68,1786)( 69, 913)( 70,1343)
( 71,1088)( 72,1452)( 73,1096)( 74, 369)( 75, 867)( 76,1835)( 77,1352)
( 78,1017)( 79, 550)( 80,1590)( 81,1056)( 82, 633)( 83,1582)( 84,1881)
( 85, 333)( 86,1976)( 87,1887)( 88,1670)( 89,1233)( 90,1238)( 91,1267)
( 93, 560)( 94,1992)( 95, 598)( 96, 162)( 97,1077)( 98,1528)( 99,1868)
( 100,1774)( 102,1436)( 103,1150)( 104, 335)( 105,1092)( 106, 524)( 107,1370)
( 108,1812)( 109,1020)( 110,1803)( 111,1930)( 112,1059)( 114,1596)( 115,1362)
( 116,1424)( 117, 159)( 118, 596)( 119,2006)( 120,1387)( 121, 723)( 122, 213)
( 123, 887)( 125,1931)( 126, 676)( 127, 480)( 129,1853)( 130, 785)( 131,1386)
( 132,1479)( 133, 902)( 134, 593)( 135,1501)( 136, 184)( 137, 381)( 138, 713)
( 139, 527)( 140,1119)( 141,1154)( 142,1372)( 143,1236)( 144, 824)( 145,1366)
( 147, 151)( 148, 449)( 149,1736)( 150,1114)( 152,1052)( 153,1926)( 154,1279)
( 156,1557)( 157, 742)( 158,1405)( 160, 813)( 161,1866)( 163,1292)( 164,2046)
( 166,2047)( 167, 748)( 168, 461)( 169,1082)( 170,1512)( 172, 224)( 173,1253)
( 174,1769)( 175,1579)( 176, 665)( 177,2042)( 178, 454)( 179,1345)( 180,1326)
( 182, 460)( 183, 661)( 185, 319)( 186, 735)( 187,1801)( 188, 778)( 190,1902)
( 191, 218)( 192,1552)( 193,1823)( 194,1197)( 195, 994)( 196, 203)( 197, 741)
( 198, 825)( 199,1831)( 200, 834)( 202,1616)( 204,1182)( 205,2056)( 206, 228)
( 207,1697)( 208, 307)( 209, 992)( 212,1982)( 214, 532)( 215,1629)( 216,1132)
( 217,1133)( 219, 380)( 220,1754)( 221, 999)( 222,1713)( 223, 377)( 225,1773)
( 226, 466)( 227,1727)( 229,1097)( 230, 923)( 231,1415)( 232,1299)( 233,1758)
( 234, 332)( 237, 859)( 238,1614)( 239,1907)( 240,1435)( 241, 432)( 243, 835)
( 244,1055)( 245,1390)( 246, 706)( 247, 963)( 248, 968)( 249, 771)( 251, 351)
( 252,1654)( 254, 721)( 255, 347)( 256,1647)( 257, 892)( 258, 283)( 259, 886)
( 260, 958)( 261,1000)( 262,1814)( 263, 747)( 264,1941)( 265, 589)( 266,1105)
( 267,1162)( 268,1808)( 269, 541)( 270, 600)( 272, 444)( 273,1633)( 274,1019)
( 275,1260)( 277,1480)( 278, 681)( 279,1323)( 280,1168)( 281,1353)( 284, 523)
( 285,1256)( 286,1261)( 287, 930)( 288,1859)( 289,1294)( 291, 405)( 292,1805)
( 294, 565)( 295, 587)( 296, 640)( 297,1639)( 298, 711)( 299,1816)( 300, 556)
( 301, 704)( 302,1063)( 303,2007)( 304,1707)( 309,1271)( 310, 728)( 311, 561)
( 312, 489)( 313, 934)( 314,1949)( 315,1606)( 316,1050)( 317, 971)( 320,1448)
( 322,1621)( 323, 584)( 324,1025)( 325,1850)( 326,1458)( 327, 505)( 328,1731)
( 329, 716)( 330,1443)( 331, 978)( 334, 707)( 336,1551)( 338,1688)( 340,1618)
( 341,1038)( 342,1600)( 343,1036)( 344,1141)( 346,1678)( 348, 690)( 349, 456)
( 350,1205)( 352, 427)( 353, 562)( 354, 647)( 355,2034)( 356,1429)( 357,1987)
( 359,1524)( 360,1657)( 361,1676)( 362, 654)( 363,1211)( 364, 951)( 365,1396)
( 366, 699)( 367, 977)( 368,1843)( 370, 513)( 371,1933)( 372,1974)( 373, 780)
( 375,1430)( 376,1051)( 378,1209)( 379,1533)( 382,1794)( 383,1394)( 384, 933)
( 385, 722)( 386,1525)( 387, 429)( 388,1380)( 389,1298)( 390,1553)( 391, 504)
( 392,1586)( 393,1201)( 394,1510)( 395, 910)( 396,1196)( 397,1715)( 398, 608)
( 401,1497)( 402,1867)( 403,1766)( 404,2043)( 406,1095)( 407,1948)( 408,1725)
( 409,1441)( 410, 434)( 411,1411)( 412,1889)( 413,1806)( 415, 687)( 416,1126)
( 418,1081)( 419,1977)( 421,1539)( 422,1920)( 423, 606)( 424,1555)( 425, 973)
( 426,1232)( 428,1817)( 430, 877)( 431,1149)( 433,1855)( 435,1107)( 436, 601)
( 437, 870)( 438, 843)( 439, 577)( 440,1476)( 442,1575)( 443,1882)( 445,1414)
( 446, 702)( 447, 793)( 448,1310)( 450,1540)( 451,1037)( 452, 938)( 455,1135)
( 457, 499)( 458, 691)( 459, 517)( 462,1351)( 463,1222)( 464, 925)( 465,1912)
( 467,1944)( 468, 850)( 471,1752)( 472,1316)( 473,1388)( 474,1811)( 475,1123)
( 476,1589)( 477,1900)( 478,1243)( 479, 881)( 481, 878)( 482,1347)( 483,1764)
( 484,1746)( 485,1187)( 486,1829)( 487, 549)( 488, 717)( 490,1174)( 491,1964)
( 492, 580)( 493, 983)( 494,1863)( 495,2055)( 496, 781)( 497,1765)( 501,1024)
( 502,1591)( 506,1378)( 507, 896)( 508,1444)( 509, 643)( 510,2041)( 511,1471)
( 512, 749)( 514,1190)( 515,1250)( 516,1934)( 518,1309)( 520,1566)( 521,1280)
( 522,1172)( 525, 537)( 526,1446)( 528,1956)( 529,1409)( 530,1997)( 531,1885)
( 533, 642)( 534,1313)( 535,1767)( 538, 840)( 539, 854)( 540,1296)( 542,1717)
( 543,1207)( 544,1519)( 545, 841)( 546,1314)( 547,1612)( 548,1856)( 551, 670)
( 552, 772)( 553,1485)( 555, 836)( 557, 664)( 558, 656)( 559, 755)( 563, 694)
( 564,1972)( 566, 760)( 568,1694)( 569, 829)( 570,1893)( 571,1113)( 572, 815)
( 573,1673)( 576,1593)( 579, 754)( 581,1463)( 582, 945)( 585,1721)( 586,1909)
( 588,1860)( 590, 720)( 591, 594)( 592,1550)( 597,1842)( 599, 712)( 602,1576)
( 604,1093)( 605,1869)( 607,1768)( 609, 987)( 610, 873)( 611,1312)( 612, 618)
( 614, 893)( 615,1371)( 616, 637)( 617,1121)( 619, 872)( 620,1915)( 621,1028)
( 622,2045)( 623,1143)( 624,2019)( 625, 875)( 628, 961)( 629,1705)( 630,1840)
( 631,1099)( 632,1610)( 634,1466)( 635, 830)( 638,1068)( 639,1652)( 641,1412)
( 645,1686)( 646,1666)( 648, 984)( 649,1777)( 650,1668)( 651,1422)( 652,1929)
( 653, 828)( 655,2057)( 657,1374)( 658,1407)( 659,1513)( 660, 957)( 662, 732)
( 663,1674)( 666,1365)( 667,1932)( 668,1564)( 671, 912)( 672,1287)( 673, 674)
( 675,1957)( 677,2003)( 678,1894)( 679,1228)( 682,1300)( 684,1465)( 685, 700)
( 686,1361)( 688, 959)( 689,1615)( 693,1295)( 695,1089)( 696,1622)( 697,1573)
( 701,2012)( 705,1836)( 708,1979)( 709,1437)( 710,1094)( 715,1342)( 718,1523)
( 719,1884)( 724, 777)( 727, 796)( 729,1937)( 731,1846)( 733,1953)( 734, 997)
( 737,1423)( 740,1367)( 743,1828)( 744,1665)( 746, 937)( 750,1391)( 751,1218)
( 752,1691)( 753,1230)( 756,1058)( 758,1173)( 759,1180)( 761,1027)( 762,1078)
( 763,1636)( 764,1644)( 765,1659)( 766,1832)( 767,1572)( 768,1722)( 770,1630)
( 773,1289)( 774,1942)( 775,1981)( 776,1661)( 779,1193)( 782,1779)( 783,1288)
( 786,1897)( 787,1285)( 788,1917)( 789,1087)( 790,1341)( 791,1532)( 792,1219)
( 794,1729)( 795,1184)( 797,1395)( 798, 832)( 799,1750)( 800,1013)( 801,1583)
( 802, 827)( 803,1784)( 804, 847)( 805,1179)( 806,1508)( 807,1139)( 809,1760)
( 810,2040)( 811, 985)( 812,1118)( 814,1426)( 816, 852)( 817,1703)( 818,1502)
( 819,2000)( 820,1146)( 821,1965)( 822,1009)( 823,1603)( 831,1206)( 833,1696)
( 837,1864)( 838,1906)( 839,1083)( 842,1029)( 844,1128)( 846, 904)( 848,1759)
( 849,1171)( 851,1515)( 853,1016)( 855,1628)( 856,1839)( 858, 914)( 860,1254)
( 862,1723)( 863,1973)( 864,1936)( 865,1503)( 866,1708)( 868,1004)( 869,1014)
( 871,1841)( 874, 883)( 876,1247)( 879,1778)( 880,1240)( 882,1663)( 888,2002)
( 889,1493)( 890,1521)( 891, 969)( 894,1809)( 895,1061)( 897,1306)( 898,1109)
( 899,1286)( 900,1282)( 903,1062)( 905,1819)( 906,1140)( 907,1730)( 908,1153)
( 911,1993)( 916,1266)( 917,1376)( 918,2016)( 921,1270)( 922,1494)( 924,1677)
( 926,1015)( 927,1134)( 928,1235)( 929,1642)( 932,1845)( 935,1255)( 936,1726)
( 939,1100)( 940,1692)( 941,1720)( 943,1617)( 944,1169)( 947,1399)( 948,1454)
( 953,1578)( 954,1960)( 955,1896)( 956,1672)( 960,1335)( 962,1875)( 965,1074)
( 966,1449)( 967,1156)( 970,1189)( 972,1166)( 974,1538)( 975,1799)( 976,1364)
( 979,1344)( 980,1739)( 988,1040)( 989,2049)( 990,1065)( 991,1530)( 993,1825)
( 995,1604)( 996,1738)(1001,1852)(1003,1418)(1005,1838)(1006,1980)(1007,1155)
(1008,1469)(1010,1012)(1011,1357)(1018,1775)(1021,1049)(1022,1895)(1023,1477)
(1026,2050)(1030,2022)(1031,1244)(1032,1537)(1034,1072)(1039,1106)(1041,1822)
(1042,1650)(1043,2015)(1044,1120)(1045,1406)(1046,1224)(1047,1359)(1048,1419)
(1053,1274)(1054,1950)(1057,1504)(1060,1961)(1064,1699)(1067,1334)(1069,1714)
(1073,1876)(1075,1743)(1076,1761)(1079,1322)(1080,1484)(1084,1800)(1085,1921)
(1086,1702)(1090,1598)(1091,1164)(1098,1994)(1101,1792)(1103,1718)(1104,1338)
(1110,1223)(1111,1385)(1112,1813)(1115,1304)(1116,2054)(1117,1689)(1122,1373)
(1124,1790)(1125,1785)(1127,1669)(1130,1290)(1131,1928)(1137,1988)(1138,1922)
(1142,1751)(1144,1398)(1147,1645)(1148,1923)(1151,1192)(1152,1999)(1158,2010)
(1159,1178)(1160,1632)(1161,2005)(1163,1329)(1165,1577)(1167,1203)(1170,1475)
(1176,1434)(1177,1943)(1181,1872)(1183,1220)(1185,1200)(1188,1788)(1194,1455)
(1195,1975)(1198,2013)(1199,1833)(1202,2048)(1204,1535)(1208,1358)(1210,1927)
(1212,1445)(1214,1903)(1216,1613)(1217,1701)(1225,1580)(1227,1924)(1229,1251)
(1241,1397)(1242,2024)(1245,1558)(1246,1594)(1248,1488)(1252,1776)(1258,1425)
(1259,1821)(1262,1348)(1263,1620)(1264,1324)(1265,1277)(1268,1470)(1269,2017)
(1272,1273)(1278,1319)(1281,1619)(1283,1360)(1284,2044)(1293,1450)(1297,1634)
(1301,1456)(1302,1783)(1303,1724)(1317,1837)(1318,1377)(1321,1711)(1325,1461)
(1327,1940)(1330,1693)(1331,1662)(1332,2051)(1333,1602)(1336,1439)(1337,1695)
(1340,1548)(1346,1520)(1349,1782)(1350,1878)(1354,1568)(1356,2026)(1363,1925)
(1368,1793)(1369,1771)(1375,1854)(1379,1440)(1381,2031)(1382,1640)(1384,1899)
(1389,1664)(1401,1554)(1403,1700)(1404,1998)(1408,1991)(1410,1954)(1413,1427)
(1416,1967)(1417,1541)(1420,1631)(1421,1851)(1428,1978)(1431,1547)(1432,1877)
(1433,1624)(1438,1795)(1442,1638)(1447,1919)(1453,1945)(1457,1601)(1459,1857)
(1460,1947)(1462,1865)(1468,1627)(1472,2035)(1473,1990)(1474,1741)(1478,2030)
(1481,1762)(1490,1500)(1491,2011)(1495,1848)(1496,1667)(1499,1611)(1506,1625)
(1509,2033)(1514,1968)(1517,1985)(1518,1549)(1526,1757)(1527,1797)(1529,1571)
(1531,2001)(1543,1986)(1544,1873)(1546,1653)(1559,1849)(1560,1802)(1561,1649)
(1562,1690)(1565,1844)(1567,1886)(1569,1918)(1574,1935)(1581,1883)(1584,1911)
(1585,1599)(1592,1685)(1597,1995)(1605,1787)(1608,1737)(1609,1946)(1623,1891)
(1626,1807)(1635,1938)(1637,2032)(1646,1706)(1648,2021)(1655,2004)(1656,1939)
(1660,1748)(1671,1704)(1681,1818)(1682,1955)(1683,2058)(1684,1740)(1687,2039)
(1698,2025)(1710,1745)(1716,1989)(1719,2023)(1728,1770)(1735,2014)(1742,1858)
(1744,1890)(1747,1781)(1749,2038)(1753,1772)(1756,1820)(1763,1996)(1791,2037)
(1810,1969)(1815,1870)(1826,1971)(1830,1901)(1834,2053)(1847,1983)(1862,1905)
(1879,1951)(1880,1898)(1904,2018)(1908,2027)(1910,1959)(1962,2036)(2028,2052),
( 1,1568,1547, 569,1676,1767, 880)( 2,2058,1348,1557,2007, 417,1517)
( 3,1890,1707,1960, 216, 568, 254)( 4,1920, 853,1603,1163, 256, 312)
( 5, 168,1827,1641,1731, 486,1540)( 6, 612, 108,1737, 507,2046, 665)
( 7,1874, 673, 738, 625,1854,1195)( 8, 695,1456,1793,1227, 326,1905)
( 9, 870, 997,1918, 337, 775,1944)( 10,1958, 826, 525, 123,1430,1795)
( 11, 847, 243,1842, 358, 142,1406)( 12,1805, 514,1077,1411, 634, 379)
( 13,1292, 548,1421,1891,1741,1537)( 14,1165, 731, 472, 362, 771,1353)
( 15, 728, 790,1201, 586, 87, 601)( 16,1908, 571, 577,1873, 53,1264)
( 17, 46, 656, 753,1721,1039,1238)( 18, 351, 315,1318, 236,1271,1619)
( 19,1127,1234,1237, 894,1419,1119)( 20, 241, 499, 240,1968,1424, 437)
( 21,1293,1276, 581, 559,1511, 968)( 22, 373,1366,1020, 282,1290, 195)
( 23,1393,1132,1280,1004, 767,1432)( 24,1662, 536,1961,1345,1230, 814)
( 25,1049,1695,1055,1248,1639, 957)( 26,1030,1496, 355, 131, 397,1577)
( 27,1023,1356, 415, 879, 670, 624)( 28,1358,1247,1104, 95, 737,1489)
( 29, 38,1843, 304, 111,1224,1460)( 30, 297,1141, 130, 943, 959,1986)
( 31,1796,1281, 62,1303,2021,1352)( 32,1386, 740,1340,1103,1923, 265)
( 33,1857, 126,1635,1481, 852, 66)( 34,1452, 795,1970, 694,1988, 921)
( 35,1221, 301, 110, 159,1217, 427)( 36,1402,1680, 746,1070,1310, 626)
( 37,1613,1623, 411,2019, 867,1956)( 39, 744, 729,1478, 459, 143,1633)
( 40,1520,1820,1471, 544, 121,2024)( 41,1666, 535,1475, 875,1713, 348)
( 42, 335, 49,1061,1895,1803,1778)( 43, 73, 64,1184,1732, 980,1832)
( 44, 931, 639,1597, 107,1701,1423)( 45,1112, 228,1915,1487,1321, 522)
( 47, 303, 414,1951, 388, 296,1966)( 48,1316,1258,1167,1565,1295,1308)
( 50, 754, 667,1700, 177, 988, 855)( 51,2047,1552,1215,1252, 659,1017)
( 52,1320,1139,1911,1022,1559,1370)( 54,1996, 302,1148,1754,1206, 154)
( 55,1714, 443, 657, 868, 365, 550)( 56, 668, 555, 279,1210,1587, 349)
( 57,1155, 399,1940, 653,1880,1032)( 58,1617, 86,1107, 474, 77, 941)
( 59,1682, 768, 372,1188,1725,1130)( 60, 129, 268,1837,1865, 224,1728)
( 61, 725, 82,1530, 647,1398,1657)( 63,1025, 316,1442, 901,1390,1558)
( 65,1776, 418, 671, 796, 320, 375)( 67, 359,1054, 272,1154, 864, 950)
( 68, 360,2004, 71, 986,1572,1359)( 69,1205, 700,1115,1062,1924, 810)
( 70, 856,1417,1068, 558,2000,1522)( 72, 759,1401,1809,1484, 703,1979)
( 74, 840, 101,1329, 949, 251,1902)( 75,1688,1702,1126,2038,1831,1868)
( 76,1704, 537, 904,1240,1604, 981)( 78,1942, 684,1223, 432, 336, 354)
( 79,1812,1399,1439, 623,1576,1751)( 80,2027, 492,1284, 89,1426, 909)
( 81, 176,1585,1098, 783,1535,1189)( 83,1888, 807,1785, 366,1414, 845)
( 84, 812, 883,1279, 645,2016,1766)( 85, 422,2008,1396, 275,1654,1445)
( 88, 800,1187,1125,1844,1693,1848)( 90,1862,1508,1636, 155,1903,2044)
( 91, 524,2017, 869, 798, 553,1703)( 92, 677,1472,1546,1120,1317, 541)
( 93,1212,1640,1781,1342,1425,1787)( 94,1574, 194, 962, 118, 611,1679)
( 96, 330,1719,1656, 644, 779, 785)( 97,1833,1621, 676,1965,1008, 575)
( 98,1172, 823,1606, 919,1763, 226)( 99, 802,1451,1720,1977,1335, 733)
( 100, 321, 714, 460, 956,1134, 222)( 102, 944, 547, 678,1207, 404,1218)
( 103,1311, 619,1507,1529,1253, 629)( 104, 288, 652,1729,1685,1671,1936)
( 105, 861,1738, 204,2031,1236,1397)( 106, 188, 338, 793,1798,1748, 672)
( 109, 309,1412, 187,1802,1219,1395)( 112,1830, 877, 289,1817,2050,1056)
( 113,1824, 969,1594, 572,1834,1742)( 114, 930, 739,1560, 469,1602,1354)
( 115, 655, 669,1600,1101, 906,1260)( 116, 438, 722, 628, 748,2005, 489)
( 117, 513, 313, 878, 570, 598, 441)( 119,1852,1593, 987, 248, 156,1978)
( 120, 829,1044,1847,1360, 207,1458)( 122, 658, 347, 693, 916,1216,1468)
( 124,1780,1045,1272, 215, 385,1684)( 125,1060,1883, 345, 416,1291,1630)
( 127,1997, 429,1573, 471, 433, 151)( 128,1757,1338,1860, 509, 958, 376)
( 132,1441,1616, 995, 770,1681,1078)( 133,1898, 497, 939,1243,1436,1711)
( 134,1797,1361, 490, 622,1950,1298)( 135, 756, 762, 179,1545,1026,1571)
( 136, 907,1896,1789,1620, 557,1482)( 137,1443, 688, 563,1588,1706,1906)
( 138,1174, 319,1288, 213,1063, 649)( 139,1153,1515, 983, 723,1649, 185)
( 140, 686, 445,1057,1362, 815,1197)( 141, 184, 186,1644, 209,1173,1042)
( 144, 938,1491,1589, 390,1196, 884)( 145,1437,1365, 533, 393,1771, 620)
( 146,1177,1287,1467,1596, 148, 614)( 147, 934,1347, 273,1447,1466,1162)
( 149, 764,1274,1764,1036, 747,1278)( 150,1486, 206,1136,1910,1474, 608)
( 152,1371,1807, 842,1117, 424,1753)( 153, 825,1698, 539, 972,1209, 482)
( 157, 196, 401,1926, 212, 457, 778)( 158, 496,1296, 582,1861, 210, 715)
( 160,1668,1152, 687, 599,1752, 430)( 161, 267, 857, 971,1784, 371,1383)
( 162, 163,1534, 410, 702,1614, 270)( 164,1913,1519,1730, 794,1168,1608)
( 165,1161, 780,2035,1919,1192, 654)( 166,2056, 831,1038, 191, 353,1116)
( 167, 293,1422, 367, 517, 573,1877)( 169,2055,1690,1097, 311, 965,1325)
( 170,1912,1377,1514, 421, 750,1627)( 171,1024, 640,1267,1839, 201, 642)
( 172, 512,1323,1384,1538,1373, 211)( 173, 799,1485,1246,1089,1677, 854)
( 174,1501, 361,1250,1029,1124, 766)( 175, 494, 824,1931, 308,1790,1349)
( 178,2036, 765, 412,1866,1533,1829)( 180, 516,1872,1076, 721,1952,1648)
( 181,1503, 761, 963,1081, 219, 757)( 182,1266,1999,2041, 217,1043,1761)
( 183, 504, 252, 860, 689, 290,1579)( 189,1433, 389,1289, 955,1783,1853)
( 190,1327,1213,1277, 391,1211,1035)( 192, 758, 247, 451, 975, 234, 887)
( 193, 913,1615,1156, 299, 462, 483)( 197, 964,1526,1634,1483, 605,1093)
( 198,1673, 538, 488,1369, 792, 791)( 199, 455,1505, 470,1818, 339, 260)
( 200, 816,1492, 910, 696,1151, 597)( 202,1863,1904, 464,1528,1265, 881)
( 203, 609,1532,1786, 637,1180,1513)( 205, 789,1524, 915,1678, 610,1664)
( 208, 917,1755, 704,1583, 985,1050)( 214, 551,1987,1925,1232, 518, 664)
( 218, 666, 641,1007,1745,1108, 999)( 220,1198,1285,1856,1921, 834, 281)
( 221,1415,1962,1775,1270,1283,1882)( 223,1109,1838, 927,1916,1065, 467)
( 225, 498, 698,1969,1897, 532, 662)( 227,1548, 580,1564,1691,1813,1647)
( 229,1972,1774,1490,1858,1692,1759)( 230,1836, 888,1457,1758, 554, 368)
( 231,1497,2054, 329,1135,1612, 446)( 232,1510,1983,1553,1892, 713, 960)
( 233,1672,1251,1884,1014,1683,1341)( 235,1444,1816, 851,1438,1971, 786)
( 237, 911,1012,1542,1699, 448, 263)( 238,1128,1495,1929,1948, 300,1110)
( 239,2042,1263,1073, 381,1199, 951)( 242, 485,1259,1791,1561,1934, 905)
( 244, 811,1747, 473,1375,1028, 699)( 245, 344, 651, 328,1041,1768,1002)
( 246,1743, 305,2032,1927, 277,1404)( 249, 660, 683,1350,1712,1385,1328)
( 250,2037,1736, 850,1867, 838,1300)( 253,1523,1808,1650, 701,1739,1946)
( 255, 413,1746,1765, 419, 564, 973)( 257, 899, 942, 458, 635, 317, 945)
( 258, 426,1928,1079, 865, 286, 787)( 259, 707,1140,1374, 463, 836, 953)
( 261, 523,1580, 444,1378, 772,1034)( 262, 925, 276,1938, 813,1407, 363)
( 264,2011,2033, 914,1058, 648, 574)( 266,1047,1357, 966, 720,1186, 734)
( 269, 886, 487, 992, 630, 323,1624)( 271, 526,1592,1364,1463, 710, 274)
( 278,1225, 515, 477,1344,1477, 468)( 280, 859, 405, 873,1709, 946,1137)
( 283,1313,1085, 830, 583,1470, 386)( 284, 832, 476, 846,1828,1331,1772)
( 285, 705,1740, 822,1930,1569,2020)( 287, 617, 334,1084, 776,1794,1428)
( 291,1121, 820, 882,1610,1048,1190)( 292,1334, 340,1967, 324,1957,1363)
( 294,1899,1792,1551,1609,1914,1006)( 295, 755, 562,1262,2048, 978,1575)
( 298,1953, 402,2051,1607,1645, 777)( 306, 590, 819, 314,1825, 961,1735)
( 307,1901,1405,1933,1193, 691,1275)( 310,1241,1434, 591, 440,1088,1886)
( 318,1091,1408,1394, 346,1651,2023)( 322,1145,1762, 540,1102, 680, 392)
( 325,1727, 519, 333,1549,2057, 456)( 327,1431,1106, 924,1420,1011,1689)
( 331,1075,1138, 403,1235, 565,1963)( 332, 592, 604, 508, 912,1626,1052)
( 341, 993,1273,2029,1567,1800, 991)( 342,1343,1871,1083,1864,1479, 505)
( 343, 872,1158, 863, 484, 602, 844)( 350,1631, 543, 952, 600, 760, 926)
( 352,1502,1932,1570,1015, 970,1582)( 356,1244, 929, 454, 520, 804, 545)
( 357, 862,1723, 364,1815,1176,2026)( 369,1601, 603, 546, 594,1566, 989)
( 370,1849, 784,1418, 782, 736,1659)( 374,1123,1269,1769, 380,1756, 643)
( 377, 923,1556,1744,2014,2043, 982)( 378, 848,1822, 480,1440, 741,1282)
( 382, 706,1368, 837, 871,1536,1563)( 383, 436,1400,1455, 511, 711,1658)
( 384,1663,1202,1157,1122, 984,1879)( 387,1598,1939, 395, 890, 607,1268)
( 394,1708,1799,1351, 932,1150,1314)( 396,1454, 529,1461, 892,1203, 947)
( 398,1947,1256,1500, 491,1330,1632)( 400,1845, 773, 735,1611, 503, 994)
( 406, 431,1294,1391,1183,1100,1409)( 407, 866,1175, 874,1782, 631, 493)
( 408, 527,1982,2003, 769,1976, 534)( 409,1231,1993,1935,1909, 920,1922)
( 420, 900,1779, 584,1810,1178, 809)( 423,1170, 948, 663,1991,1169, 979)
( 425,1819,1059, 589,1021,1804,1033)( 428, 719,1653,1072,1435,1625,1823)
( 434,2052, 549, 718,1750, 606, 450)( 435,1687,1324,1667,1229,1959, 674)
( 439,1301, 928, 891,1069,1722, 502)( 442,1841, 933,1655,1578, 632, 501)
( 447,1835, 724, 542,1297,1984, 876)( 449,1985,1389,1543,1133, 636,1686)
( 452,1660,1581, 475, 585, 596,1998)( 453,1605,1973, 466,1875,1118, 616)
( 461,1372,1105, 521,1255, 751,1249)( 465,1850,1142,2049,1111,1114, 898)
( 478,1469, 627,1618,1539,1718, 560)( 479, 817,1480,1555,1949,1955,1697)
( 481,1465, 897, 743,1770,1306,1945)( 495,1066,1013,1859,1937,1149, 566)
( 500,1144, 749,1894, 908,1096, 774)( 506, 593,1670,1652,1179,1131,1990)
( 510,1018, 531,1869, 818,2001,1622)( 528,1446, 588,1159,1595,1826,1473)
( 530,1286,1459,1715, 788, 613, 595)( 552,1450, 827,1907,1995,1562,1870)
( 556, 833,1550, 726,1040,1332,1027)( 561, 650,1846,1638, 803,1355,1337)
( 567, 717,1005,1811,1512,2053, 806)( 576, 646,1462,1171, 578,1943, 587)
( 579, 730,1346,1302, 681,1053, 708)( 615, 692,1410,1749,1086,1716,2012)
( 618,2015, 828,1010,1387,1304, 633)( 621,1319, 682, 732, 679, 977,1326)
( 638,2040,1113,1254,1164,1975,1067)( 661,1413, 843, 954,1392, 797,1900)
( 675, 697,2009,1498, 781,1245,1851)( 685, 889,1599, 752,1629,1222,2025)
( 690, 996,2002,1694,1981,1046, 808)( 709,1307,1009, 935,1814,1233,1000)
( 712,1788,1095,1429,1242,1821,1464)( 716,1954,1760,1129,1646, 976,1509)
( 727,1099,1705,1092,1299,1499,1726)( 742, 858,1194,1322,1200,1494,1989)
( 745,1448,1665,1309,1876,1031,1037)( 763, 885,1516,1016,1315,1710,1182)
( 801,1143, 841,2030,1204,1917,1521)( 805,1527,2022,1160, 835,1855,1403)
( 821,1416,2034,2010, 896,1777,1388)( 839,2006,1191, 974, 903, 918,1312)
( 849,1380,1881,1493, 940,2013,1554)( 893,1941,1980, 998,1001,1146,1661)
( 895,1003,1717,1051,1208,1185,1733)( 902, 990,1724,1878,1381,1994,1518)
( 922,1147,1628,1840,1893,1885,1675)( 936,1696,1226,1590,1591,1674,2045)
( 937,1336,1974,1071,1773,1379,1584)( 967,1166,1669,1261,1642,1453,1087)
(1019,1506,1257,1488,1525,1734,1080)(1064,1382,1220,1367,1504,1181,1964)
(1074,1239,2039,1339,1427,1214,1806)(1082,1586,1090,1376,1531,1889,1228)
(1094,1541,1992,1801,1305,1476,2028)(1333,1637,1643,1449,2018,1544,1887)],
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1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,1,11,1,10,-1,11,1,10,-1,11,1,9,-1,
11,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[
2,1,7,2],[8,3],[9,1,6,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,
3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,11,-1,9,-1,11,
2,10,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[9,1,6,1],[10,1,9,1,10,1,9,-1,6,1],[11,2,9,1,6,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1],[9,2,6,1],[10,1,11,-1,10,1,11,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[9,1,10,-1,6,1,9,
1],[10,1,11,1,10,1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,1,11,1,10,-1,7,
1],[12,2,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,7,1],[11,1,12,-1,11,1,12,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,1,7,1],[10,1,11,-1,7,1,10,1],[11,1,12,1,11,1,12,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,-1,12,1,10,
-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1],[11,1,12,1,11,1,12,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[7,1,10,-1],[12,2,11,1,10,1,7,1,11,-1,10,-1,11,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,-1,12,1,10,-1,12,-1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[10,1,7,1],[11,2,10,1,12,1,10,1,12,1,11,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[7,1,10,-1,11,1,10,1,12,-1,11,-1,12,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[7,1,10,-2,12,-1,11,2,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,
1],[12,1,11,1,12,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,10,1,11,1,12,
-2,11,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[6,1,9,-2,11,-1,10,2,11,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1],[9,1,10,1],[11,1,10,1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,
9,1,10,1,11,-2,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,-1,11,1,
12,2,11,-1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,10,1,7,1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[10,1,7,1],[10,1,12,1,11,1,12,-1,11,2,10,1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[10,1,7,1,11,-1,10,-2,7,1,10,-1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,
10,-2],[12,1,11,1,12,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,
10,1,11,2]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,
-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,1,8,1,4,
-1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,
-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[4,-1,9,-1,8,1,4,
1,9,1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,
1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[9,2,8,1,4,1,
8,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,11,1],[7,1,10,-1,12,-2,10,1,7,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[10,1,7,1],[11,1,10,-1,7,1,11,1,10,-1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[10,1,7,1],[10,1,12,1,11,1,12,-1,11,2,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[11,1,7,1,12,2,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1],[11,1,7,1,10,1],[11,1,
12,1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-2],[12,1,11,1,12,1,11,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,-1,12,1,10,
-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,2,10,-2,7,1,11,1,10,2]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[11,2,10,1,12,1,10,1,12,1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
10,1,7,1],[11,1,7,1,12,2,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,7,1],[11,1,
12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,1,11,-1,7,1,10,1],[11,1,12,1,11,
1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,10,-2,11,1,10,1,11,1,
12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1],[11,1,12,-1,11,1,12,-1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[11,2,10,1],[7,1,10,-1,12,-2,10,1,7,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1,11,-1,10,-2,7,1,10,-1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1],[11,
1,7,1,10,1],[11,1,12,1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,
1,12,2,10,1,11,2]]],[[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,
1,2,1],[6,1,7,1,6,1,7,1],[5,1,8,-1,5,3,8,1]],[[1,1,2,1],[3,1,2,2,3,1,2,1,3,
1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[5,1,8,1],[8,1,5,2],[9,1,
10,-1,9,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-2],[12,1,11,1,12,1,11,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,-1,10,1,12,-1,11,1]]],[[[1,1,2,1],[2,
1,1,1],[4,1,2,1,3,4,4,1],[5,4],[1,1,2,1],[2,1,1,1],[1,1,2,-2,7,-1,8,2,2,1,8,1,
7,1],[6,1,9,-1,6,1,9,2,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1],[5,4],[1,
1,2,1],[2,1,1,1],[1,1,2,-2,7,-1,8,2,2,1,8,1,7,1],[6,-1,9,1,6,-1,9,1,6,-1,9,
-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,2],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[
2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,
6,1],[6,1,9,1,10,-1,9,-1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,2],[12,
1,13,-1,12,1,13,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1,10,-1,11,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,2,11,2,12,1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[11,1,7,1,10,1,7,1,11,-2]]],[[[1,1,2,-3,1,1,2,1,1,1],[3,6]],[[2,1,1,
1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,
1,1,1],[7,6],[6,2],[9,1,6,1,8,1,9,1,8,1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,
10,1,11,-1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,11,-1,10,1,7,
1,10,-1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1],[11,1,12,-1,11,1,12,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,-2,7,1,10,2,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1,10,-1],[11,1,12,1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,2,10,-1,7,1,10,1,
7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,2,11,-1,12,1,11,-1,10,-1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[11,2,10,1,7,1,10,-1,11,-2]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,1,
3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,
1,1],[7,-1,1,1,7,1],[4,2],[4,-1,9,-1,8,1,4,1,9,1]],[[1,1,2,-1],[2,1,3,-1,2,1,
1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,
-1,1,1],[7,-1,1,1,7,1],[4,2],[4,1,8,1,9,1,8,1,9,1,8,1,4,1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[12,1,11,-1,10,-1,11,2,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,
10,-2],[12,1,11,1,12,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-2],[12,1,11,1,
12,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,4,10,1,7,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[12,1,11,-2,12,1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[10,1,12,-1,11,-1,12,1,11,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,10,-1],[
12,1,11,1,12,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,7,1,10,-1,11,1,7,1]]],[[[
1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[
8,3],[6,1,9,1],[9,1,6,1,9,-1],[11,1,10,1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,
1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,6,
1,9,-1,10,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,10,-1,11,-1,
12,1,10,-1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,
2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,2,10,1,11,2]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[10,1,7,1],[11,2],[12,1,13,-1,12,1,13,-1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,2,1,3,4,4,1],[5,4],[1,1,2,1],[2,1,1,1],[1,1,2,-2,7,-1,8,2,2,1,8,1,7,1],[9,1,
6,-1,9,-1,6,-1,9,-1,6,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1],[5,4],[1,1,
2,1],[2,1,1,1],[1,1,2,-2,7,-1,8,2,2,1,8,1,7,1],[6,-1,9,2,6,-1,9,1,6,-1,9,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[9,1,6,1],[10,2,9,-2,6,1,10,1,9,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-1],[10,1,6,1,
9,-1,10,1,6,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,2,10,-2,7,1,11,1,10,2]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,-1],[11,1,7,1,10,-1,11,1,7,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,
1],[7,1,10,1,11,-1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,1,11,
1,10,-1,7,1,11,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,1,10,-1,11,
-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,7,1,10,-1,11,2]]],[[[1,1,2,1],[2,2],[3,1,
4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[7,3],[8,1,5,1,8,1,5,-1,8,1,5,-1,
8,-1]],[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[7,
3],[5,-1,8,1,5,1,8,-1,5,1,8,2]]],[[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,
-1],[1,1,2,1],[2,3,6,2],[7,3],[5,-1],[5,1,8,-2,9,-1,8,1,5,1,8,1,9,-1]],[[1,1,
2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[7,3],[5,-1],[8,1,
5,1,8,1,9,1,8,1,5,-1,8,-1,9,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1],[5,
4],[1,1,2,1],[2,1,1,1],[1,1,2,-2,7,-1,8,2,2,1,8,1,7,1],[6,1,9,1,6,-1,9,1]],[[
1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1],[5,4],[1,1,2,1],[2,1,1,1],[1,1,2,-2,7,-1,
8,2,2,1,8,1,7,1],[6,-1,9,1,6,-1,9,1,6,-1,9,-2]]],[[[1,1,2,1],[2,2],[3,1,4,1,1,
1,2,-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[7,3],[8,-3,5,1]]],[[[1,1,2,-1],[2,1,3,
-1,2,1,1,1,3,-1],[4,2],[5,1,4,1,5,2]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,
1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,
-1,1,1,7,1],[4,2],[9,2,8,1,9,1,8,1,4,1]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,
-1],[4,2],[5,1,4,1,5,2]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,
-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,
2],[8,1,4,1,8,1,9,-1,8,1,4,-1,8,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,
1],[5,4],[1,1,2,1],[2,1,1,1],[1,1,2,-2,7,-1,8,2,2,1,8,1,7,1],[6,-1,9,2,6,
1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1],[5,4],[1,1,2,1],[2,1,1,1],[1,1,2,
-2,7,-1,8,2,2,1,8,1,7,1],[9,1,6,-1,9,-1,6,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,
2,1,3,4,4,1],[5,4],[1,1,2,1],[2,1,1,1],[1,1,2,-2,7,-1,8,2,2,1,8,1,7,1],[6,-1,
9,2,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1],[5,4],[1,1,2,1],[2,1,1,1],[1,
1,2,-2,7,-1,8,2,2,1,8,1,7,1],[6,-1],[9,1,6,1,9,-1,10,1,9,1,6,1,9,1,10,1]]],[[[
1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,
2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[9,1,8,1,4,-1,9,-1]]],[[[
1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,
1],[5,2],[9,1,8,1,9,1,5,1,8,-1]],[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,
1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[5,2],[5,1,8,-1,9,-1,8,1,5,1,9,1]]],[[[1,
1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[
5,1,8,-1,5,-2,8,-1,5,-1,8,-1]],[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,
1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[5,2],[9,1,8,-1,9,-1,8,1,9,1]]],[[[1,1,2,
1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[5,
2],[8,1,5,-1,9,-1,8,1,9,1]],[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[
2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[5,2],[5,1,8,-1,9,-1,8,1,5,1,8,1,9,-1]]],[[[1,
1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,
1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[9,1,4,1,8,1,9,1,8,1,9,
1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,
-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[4,1,8,1],[8,1,9,
1,10,1,9,-1,10,-1,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,4,11,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-2],[12,1,11,1,12,1,11,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[7,1,10,-1,11,-2,10,-1,7,1,11,-1,10,1,7,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,
7,1],[7,1,10,1,11,-1,10,-1],[11,1,12,-1,11,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,
1],[6,1,9,-1,10,-2,11,1,9,1,11,-1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,
4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,1,11,1,
10,-1,11,1,10,-1,11,1,9,-1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,
10,-1,11,-2,12,1,10,1,12,-1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,
1,11,-1,12,1,11,-1,12,1,10,-1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,1,11,1,10,
-1,7,1],[12,1,11,1,12,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,1,11,-1,7,1,10,1],[
11,1,12,1,11,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,
1,11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1],[11,1,12,1,11,1,12,
1]]],[[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,
6,1,7,1],[8,1,5,2,8,1,5,1,8,-1]],[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,
1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[5,2],[9,2,8,-1,5,-1,8,-1,9,1]]],[[[1,1,
2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[5,
1,8,1,5,2]],[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,
1,7,1,6,1,7,1],[5,2],[8,1,5,1,8,1,9,1,5,1,8,-1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[10,1,7,1],[11,1,10,1,11,1,12,-2,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,11,1,
10,1,11,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,
2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,9,1,10,1,11,-2,10,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1],[9,2,10,1,9,1,10,2]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,
1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,
1,7,1],[4,2],[4,-1,9,-1,8,1,4,1,9,1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,
1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,
-1,1,1,7,1],[4,2],[9,1,4,1,9,1,8,1,9,1]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,
-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,
1],[7,-1,1,1,7,1],[4,2],[9,1,8,1,9,-1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[
2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,
-1,1,1,7,1],[4,2],[4,1,8,1],[10,1,9,1,4,1,8,1,10,1,9,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[
10,1,6,1,9,-2,10,1,9,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[
5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,9,1],[10,1,11,1,10,1,11,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,7,1,10,-2,11,1,10,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[11,1,10,1],[11,1,12,1,11,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
7,1,10,-2,12,-1,11,2,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,10,1,7,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[10,1,7,1],[7,1,10,1,11,-1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[11,2,10,1,7,1,10,-1,11,-2]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[4,2],[
5,1,4,1,5,2]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,
-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,1,8,1],[8,1,
9,1],[10,1,4,2,10,1,9,1]]],[[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,
1,2,1],[2,3,6,2],[7,3],[8,1,5,-1,8,-1,5,1,8,1]],[[1,1,2,1],[2,2],[3,1,4,1,1,1,
2,-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[7,3],[5,-1],[9,1,8,1,5,-1,8,-1,9,1,8,1,5,
1,8,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1],[5,4],[1,1,2,1],[2,1,1,1],[1,
1,2,-2,7,-1,8,2,2,1,8,1,7,1],[6,1,9,-1,6,-1,9,1,6,-1,9,-1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1]]],[[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[7,
3],[5,-1,8,2,5,-1,8,2]],[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,
1],[2,3,6,2],[7,3],[5,-1],[8,1,5,-1,8,1],[9,1,10,-1,9,1,10,-1]]],[[[1,1,2,1],[
3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[5,2],[5,
1,8,-1,9,-1,5,1,8,1,9,1]]],[[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,
1,2,1],[2,3,6,2],[7,3],[5,-1],[5,1,8,1,9,1,8,1,5,-1,8,1,9,1]]],[[[1,1,2,-1],[
2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,
1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[8,1,4,-1,9,-1,8,1,9,-1]]],[[[2,1,1,
1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,
1,1,1],[7,6],[6,1,8,1],[9,1,6,1,9,-2]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,
1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,1,8,1],[
9,1,10,-1,8,1,10,1,9,-1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,
1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[8,1,6,-1,8,1],[10,1,9,1,
10,1,9,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,
1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[8,1,6,-1,9,-1,8,1,9,1,6,1,8,1]]],[[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-1],[13,1,11,2,10,1,12,-1,13,1,12,-2,
11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,-1,10,-1,12,2,11,-1,12,1,10,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,-1,11,-1,12,1,10,2,11,1,12,
-1,7,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-1,11,1,12,-1,10,
-1,12,1,10,1,12,-1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-1],[12,
1,10,1,11,2,13,2,12,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-1,11,-1,7,1,10,1,7,1,
11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,3,11,-2,10,-2]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[10,1,7,1],[7,1,10,-2,11,1,12,-1,11,1,12,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[10,2,11,1,12,-1,10,-1,7,1,10,-1,12,-1,11,-1,12,1,10,-1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[11,1,10,1],[11,1,12,1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,
1],[7,1,10,-1],[7,1,10,1,11,-2],[13,1,12,1,13,1,12,1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,-1,12,1,10,-1,12,-1]]],[[[1,1,2,1],[2,
1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,
1],[9,1,6,1],[9,1,11,1],[12,1,10,-1,11,2,12,1,10,-1,9,1,6,1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,
1],[9,1,6,1],[10,1,6,1,11,2,9,1,10,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,
-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,1,10,-2,
9,-1,6,1,9,-1,11,-2,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[10,1,9,1,10,-1,6,1,9,1],[11,1,
9,1,6,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1],[13,1,11,-1,12,
2,13,1,11,-1,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,
11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-2,10,-1,7,1,10,-1,12,-2,10,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,1,11,-1,7,1,10,1],[12,1,10,1,7,1,12,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-1],[11,1,10,2,12,3,7,1,10,1,11,1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[11,2],[12,1,13,-1,12,1,13,-1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
10,1,7,1],[7,1,10,-1],[11,2,10,-1,7,1],[12,1,13,-1,12,1,13,-1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[10,1,7,1],[12,1,10,1,11,3,7,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[11,1,12,-1,10,-1,12,2,11,-1,12,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[11,1,7,1,12,2,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,
11,-1,12,1,11,-1,12,1,10,-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,
1,11,3,7,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,10,1,12,-2,7,1,10,
-1,11,1,10,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1],[11,1,7,1,10,1],[11,1,12,1,11,1,12,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,11,-1,10,-2,7,1,10,-1,11,1,10,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[7,1,10,-2],[12,1,11,1,12,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,
1,7,1],[10,1,12,1,11,-1,12,2,11,-1,12,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,1,
11,-1,7,1,10,1],[11,1,12,1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1],[7,
1,10,-1,12,-2,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,
1,11,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,2,11,1,12,-1,11,2,12,-1,7,1,
10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,1,7,1],[11,2,10,-2,7,1,11,1,10,2]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,-1,12,1,10,-1,12,-1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[10,1,7,1],[11,2,10,1,12,1,10,1,12,1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[10,1,7,1],[11,1,10,1,12,-2,7,1,10,-1,11,1,10,1,11,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,-1],[11,1,7,1,10,1],[11,1,12,1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,
1],[11,1,7,1,12,2,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-2],[12,1,11,1,12,
1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,11,2,12,-1,11,1,12,-2,7,1,
10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,7,1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,
7,1],[7,1,10,-1],[11,1,10,-1,7,1,11,1],[12,1,13,-1,12,1,13,-1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
10,1,7,1],[11,1,10,2,11,-1,10,-1,7,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,
10,1],[7,1,10,-1,12,-2,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1],[11,
1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,1,11,-1,7,1,10,1],[11,1,12,
1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,7,1],[11,1,12,-1,11,1,12,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,-1,10,-1,11,-1,10,2,11,1,10,1,7,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,-1],[11,1,7,1,10,1],[11,1,12,1,11,1,12,1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[10,1,7,1],[12,2,11,-1,12,1,11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,
1,7,1],[12,1,11,-1,10,-1,11,2,12,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,
-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,9,-1,10,1,9,1,10,
3,9,1,6,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[
8,3],[6,1,9,1],[9,1,6,1],[10,1,11,-1,9,-1,11,2,10,-1,11,1,9,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[7,1,10,-1,11,1,10,1,11,3,10,1,7,1,10,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,
1],[11,1,12,-1,10,-1,12,2,11,-1,12,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,
10,-1],[12,1,10,-1,11,1,7,1,10,-1,12,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,
-1],[12,2,11,1,12,1,10,-1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,1,
11,3,7,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,2,10,1],[12,1,13,-2,12,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,1,11,2,12,1,11,1,10,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,2]]],[[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
10,1,7,1],[11,1,12,2,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,10,-1],[11,
1,12,1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,2],[12,1,13,-1,12,1,
13,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,6,1,11,2,9,1,10,2]],[[1,1,2,1],[
2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,
9,-2,6,1,9,-2,6,1,9,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[
5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[9,1,10,-1,9,-1,6,1],[11,1,10,1,11,1,
10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,2]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,-2,7,1,10,-2,7,1,10,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,1,11,-1,10,-1,7,
1],[12,1,11,1,12,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,-1,11,1,
12,2,11,-1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,4,10,1,7,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,-1],[11,1,7,1,10,1],[11,1,12,1,11,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[
4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,
6,1],[9,2,11,2,9,1,10,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,2,6,1],[10,1,11,-1,10,1,11,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[9,1,6,1],[9,1,10,-1,6,1,9,1],[10,1,11,1,10,1,11,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[10,2,12,2,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,
7,1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,1,11,-1,7,1,10,1],[11,
1,12,1,11,1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,1,11,-1,7,1,10,1],[10,2,12,
1,11,1,12,1,7,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-2,10,-1,7,
1,10,-1,12,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1,10,-1],[12,1,11,
-1,7,1,10,-1,12,-1,10,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,11,-1,10,-2,7,1,
10,-1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,10,1,11,1,12,1,11,-1,
12,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1],[11,1,7,1,10,1],[11,1,12,1,11,1,12,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[9,1,6,1,10,-1,9,-2,6,1,9,-1,10,1,9,1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,
1],[9,1,6,1],[10,1,9,1,10,1,11,1,10,-1,11,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-1],[10,1,6,
1,9,1],[10,1,11,1,10,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-2,
10,-1,7,1,10,-1,12,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,1,10,-1,7,1,
10,-1,11,1,10,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,1,11,3,7,1,
12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,2,10,1,7,1,10,-2,12,-1,11,
1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1,10,-1],[12,1,11,-1,7,1,10,-1,
12,-1,10,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,1,11,-1,7,1,10,1],[10,2,12,1,11,1,12,
1,7,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,
1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,11,2,9,1,6,1,9,-2,11,-1,10,1,
11,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[
2,1,7,2],[8,3],[9,1,6,1],[6,1,9,1,10,-1,9,-1],[11,1,10,-1,6,1,9,-1,11,-1,9,
-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[9,1,6,1],[9,1,10,-1,6,1,9,1],[9,2,11,1,10,1,11,1,6,1,9,-1]]],[[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,2,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
10,1,7,1],[10,1,12,-1,11,-1,12,1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
12,1,11,-2,12,1,10,-1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,1,7,1,10,-1,7,
1,10,-1,11,2,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,1,10,1,11,1,10,1,7,1,
10,-1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,11,-2,10,-1,7,1,10,-1,11,1,10,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,-1,11,1,12,2,11,-1,10,-1,11,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,4,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,
1,10,-1],[12,1,10,-1,11,1,7,1,10,-1,12,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,
10,-1],[12,1,11,2,10,1,12,1,11,1,10,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,
-1],[12,2,11,3,7,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,9,-1],[11,1,10,2,9,1,11,1,
10,1,9,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,
1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,9,-1],[11,2,10,3,6,1,9,-1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1],[10,2],[11,2,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,
3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,-2,6,1,9,1,6,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[11,2],[12,2,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,-2,7,1,10,1,7,1]]],[[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
10,1,7,1],[7,1,10,-1,11,-3,10,-1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,2,10,-1,7,1,
10,1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,
2,1],[2,1,7,2],[8,3],[9,1,6,1],[6,1,9,-1,10,-3,9,-1,6,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[
10,2,9,-1,6,1,9,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-2,10,
-1,12,-2,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,1,11,1,10,-1,7,1,11,1,10,-1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,11,4,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1],[11,2,7,1,10,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,2,11,-1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[10,2,7,1,11,1,7,1,10,-2,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[7,1,10,-1,11,2,12,2,11,-1,10,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,4,10,1,
7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,12,1,10,-1,11,1,10,1,11,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[11,2,7,1,10,-1,12,2,11,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[10,1,11,1],[13,1,12,2,13,1,11,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,2,7,1],[11,1,12,-1,11,1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,4,
10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,2,7,1,10,1,11,-2,10,-1]]],[[[2,1,1,1],[
1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,
1],[7,6],[6,1,8,1,6,-1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,
1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[9,1,8,1,9,1,8,1,6,-1,8,
1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,-2,7,1,10,-1,11,2]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[10,1,7,1],[7,1,10,2,11,-1],[11,1,12,-1,11,1,12,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[11,1,10,1,11,1,7,1,10,-1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,1,7,1,10,-1,7,
1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,9,1,10,1,6,1,9,-1,10,-2]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1,
9,1,6,1,9,-1,6,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,2,11,2,9,1,10,
2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[9,1,6,1],[6,1,9,1,10,-1],[10,1,11,-1,10,1,11,-1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[10,1,7,1],[10,2,12,2,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,
-1],[11,1,12,-1,11,1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,
3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,2],[11,1,12,-1,
11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[9,1,6,1,9,1],[10,2,9,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,
1,7,1],[11,2],[12,1,13,-1,12,1,13,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,1],[11,2,10,1,
7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,1,7,1],[11,2,10,-1,7,1,10,1,11,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1,7,1,10,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[
1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[10,2,9,-1,6,1,9,1,10,-1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1,
6,1,9,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,-1,11,-1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,2,11,2,12,1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[7,1,10,-2,11,-2,10,1,7,1,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,1,7,1,10,-1,
7,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,-1,10,-1,12,2,11,-1,
12,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,1,10,1,11,2]]],[[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[10,1,7,1],[11,2,10,1],[12,1,13,-2,12,-1]],[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
10,1,11,1],[10,1,7,1,12,1,11,2,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,
10,-2,11,1,12,2,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,10,
1,11,1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,7,1,11,-2,10,-2,7,1,10,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,2]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[11,1,12,2,10,2,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[10,1,11,3,12,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-2,12,-1,
11,2,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,7,1,11,1,7,1,10,-2,11,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,2,7,1,10,-1,11,2,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,2,7,1,10,
1,11,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,-1],[10,1,6,1,9,-1,10,1,6,1,9,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,-2,6,1,9,
-1,6,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1],[11,1,7,1,10,-1,11,1,7,1,10,1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[10,-2,7,1,10,-1,7,1,10,-1]]],[[[1,1,2,-3,1,1,2,1,1,1],[3,6]],[[2,1,
1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,
2,1,1,1],[7,6],[6,2],[6,1,8,1],[9,1,8,1,9,1,10,2,9,1,8,1,6,1]]],[[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[10,1,11,1],[11,1,12,2,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,
1],[12,1,11,1,12,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,2,7,1,10,-2,7,1,10,1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[10,1,7,1],[7,1,10,1,11,-1],[11,1,12,-1,11,1,12,-1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[7,1,10,-1,11,3,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,3,12,
2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-2,12,2]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[11,2,10,1,7,1,10,-1,11,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,
2],[12,1,13,-1,12,1,13,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-1,11,-2]]],[[[1,1,
2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[6,1,9,1],[9,1,10,4,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-1,6,1,9,1,6,1]],[[1,1,2,1],[
2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,
9,1],[9,1,6,1],[10,-1,9,1,11,-1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,4,10,
1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,
1],[11,-1,10,1,12,-1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,11,2],[
12,1,13,-2,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,7,1],[11,1,12,-1,11,1,12,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,1,7,1],[10,1,11,-1,7,1,10,1],[11,1,12,1,11,1,12,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-2,12,-1,11,2,12,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[10,1,7,1],[11,1,10,-2,7,1,10,2,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
11,1,10,1,11,1,12,-2,11,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,
3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,6,1,11,2,9,1,
10,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,-2,6,1,9,2,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,
2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[6,1,9,1,10,-1],[10,1,11,
-1,10,1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,
2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,-2,7,1,10,2,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,
-1],[11,1,12,-1,11,1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-2],[12,1,11,1,
12,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[11,-1,10,1,12,-1,11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,
3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,9,-2],[11,1,10,1,11,1,10,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[6,1,9,-1,6,1,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,-1,9,1,11,-1,
10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-1,12,-2,11,-1,12,1,11,1,
12,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,1,7,1,10,-1,7,1,10,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[12,1,10,-1,11,-2,12,1,10,1,12,1,11,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[10,1,12,-1,11,1,12,2,11,-1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[11,-1,10,1,12,-1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
12,1,10,1,11,3,7,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,-1,11,1,
12,2,11,-1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,1,11,3,10,2,7,1,10,1,7,1,
10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,-1],[11,1,7,1,10,1],[11,1,12,1,11,1,12,1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[10,1,7,1],[10,2,11,-1,7,1,10,1,11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,
1,10,1],[11,1,12,1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,1,7,1,10,-1,7,1,10,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[9,1,6,1],[9,2,10,-1,6,1,9,1,10,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,
9,1],[10,1,11,1,10,1,11,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1,9,1,6,1,9,-1,6,1,9,-1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,-1,12,1,10,-1,12,-1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[7,1,10,-2],[12,1,11,1,12,1,11,1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
11,2,10,1],[12,1,13,-2,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-2,
12,-1,11,2,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,
2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,11,1],[7,1,10,-1,12,-2,10,1,7,1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[12,3,11,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,
1,7,1],[11,2,10,1],[12,1,13,-2,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,11,
-2,10,-1,7,1,10,-1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,2,10,-2,7,1,11,1,10,
2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,2,10,1,12,1,10,1,12,1,11,-1]]],[[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,11,2],[12,1,13,-2,12,-1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
10,1,7,1],[7,1,10,-1,11,-1,7,1,10,1,7,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[10,2,11,2,12,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,11,1],[7,1,10,-1,
12,-2,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,-1,7,1,11,1,10,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[10,1,7,1],[10,1,11,-1,10,-1,7,1],[12,1,11,1,12,1,11,1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[11,1,12,-1,10,-1,12,2,11,-1,12,1,10,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,-1],[11,1,7,1,10,1],[11,1,12,1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,
-2],[12,1,11,1,12,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,-1,11,
1,12,2,11,-1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,-1,10,1,12,
-1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,2,11,1,12,1,10,-1,11,1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,11,1],[13,1,12,2,13,1,11,1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
10,1,7,1],[7,1,10,1,11,-1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,
2,10,1],[7,1,10,-1,12,-2,10,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,
10,-1,11,-2,12,1,10,1,12,1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,1,10,1,
11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,7,1,10,1,7,1,11,-2]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[11,1,10,1,11,1,12,2,10,1,12,1,11,-1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
-1],[11,1,7,1,10,1],[11,1,12,1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
11,-1,10,1,12,-1,11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[6,1,9,-2,11,-1,10,2,
11,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,2],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[
2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,-1,
6,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-2,12,-1,11,2,12,1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[11,2],[12,1,13,-1,12,1,13,-1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
10,-1,7,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[
1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,9,-1,10,-1,9,-1,10,-1,9,2,10,1,9,1,6,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[6,1,9,1],[10,2,9,1,6,1,9,-1,10,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[
11,1,10,-1,9,-1,10,2,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,-1,10,-1,
11,-1,10,2,11,1,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,1,10,-1,11,
-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,10,-1,11,2,12,-1]]],[[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,2,7,1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[11,1,10,1],[11,1,12,1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1],[
11,1,12,-1,11,1,12,-1]]],[[[1,1,2,-3,1,1,2,1,1,1],[3,6]],[[2,1,1,1],[1,1,2,2,
3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,
6],[6,2],[9,1,8,1,9,-1,8,1,6,2,8,1,9,-1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,
-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,1,
8,1],[10,2,9,2,10,-1,8,1,10,1]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,
1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,
1,7,1],[4,-1,8,1,4,1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,
-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,
2],[8,1,9,3,4,1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,
1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[9,1,
8,1,9,1,4,1,8,1,9,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,2,10,1,
11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,-1,7,1,11,1,10,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[11,1,12,2,10,2,11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,
4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,11,
2,9,1,10,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[9,1,6,1],[10,1,9,-1,6,1,10,1,9,-1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,
6,1],[10,1,11,2,9,2,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,2,11,-1,12,
1,11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-2],[12,1,11,1,12,1,11,1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,10,-1,11,2,12,-1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[10,1,7,1,11,-1,10,-2,7,1,10,-1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,
1,7,1,10,1,11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1],[11,1,7,1,10,1],[11,1,12,1,
11,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1],[5,4],[1,1,2,1],[2,1,1,
1],[1,1,2,-2,7,-1,8,2,2,1,8,1,7,1],[6,1,9,1,6,-1,9,1]],[[1,1,2,1],[2,1,1,1],[
4,1,2,1,3,4,4,1],[5,4],[1,1,2,1],[2,1,1,1],[1,1,2,-2,7,-1,8,2,2,1,8,1,7,1],[6,
1,9,-1,6,1,9,2,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1],[5,4],[1,1,2,1],[
2,1,1,1],[1,1,2,-2,7,-1,8,2,2,1,8,1,7,1],[6,-1,9,1,6,-1,9,1,6,-1,9,-2]]],[[[1,
1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[6,1,9,1],[9,1,6,1],[10,1,11,2,9,1,10,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[10,1,9,-1,6,1,
10,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,1,11,-1,10,-1,11,1,10,-2]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[10,1,7,1],[11,1,12,2,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,
10,-1,7,1,11,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,-1,11,-1,12,
1,11,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,2,11,3,7,1,10,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[11,1,12,-1,10,-1,12,2,11,-1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[10,1,7,1],[7,1,10,-2,11,1,12,-1,11,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,
10,-1],[12,1,11,2,10,1,12,1,11,1,10,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,
1],[10,2,11,2,12,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,1,11,1,10,1,11,
1,12,1,11,2,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-2],[12,1,11,1,12,1,11,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,-1,7,1,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,4,10,
1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,2,11,1,12,1,10,-1,11,-2,12,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,-2,7,1,10,2,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,
1],[11,1,7,1,12,2,10,1,11,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,
10,-1,11,-1,12,1,10,-1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,2,
11,2,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,2]]],[[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,2]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[12,1,10,-1,11,-2,10,1,11,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,
1],[9,1,10,1],[10,1,12,1,11,-2,12,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,
-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,1,9,-1,
10,-2,9,1,10,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,11,1],[11,1,13,
1,12,-2,13,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,-1,11,-2,10,1,11,
1,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,7,1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,-1,7,1,10,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1,10,-1],[
11,1,12,-1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,2,11,1,12,1,11,
1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,-1,11,-2,12,1,11,-1,10,
-1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,-1,7,1,11,1,10,-1]]],[[[1,1,2,1],[
2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[7,3],[5,-1],[9,1,8,-1,
5,1,8,-1,9,1,8,2,5,1]],[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,
1],[2,3,6,2],[7,3],[5,-1],[9,1,8,1,5,1,8,-1,5,1,8,-2,9,-1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1],[1,1,2,3],[7,2],[6,1,8,1],[1,1,2,1],[2,
1,1,1],[2,1,11,1],[11,1,10,1,12,-1,11,-1,12,-1],[2,1,11,-2,10,-1,11,1],[13,1,
14,1],[9,1,15,-1,9,1,15,1,9,1,15,1,9,1],[16,1,15,1],[17,2,16,-1,15,-1]]],[[[1,
1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,
1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,-1,8,1,4,1]],[[1,1,2,-1],[2,1,
3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,
-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[8,1,4,-1,8,1,4,1,8,1]],[[1,1,2,-1],[2,1,3,-1,
2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,
1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[4,-1,9,-1,8,1,4,1,9,1]]],[[[1,1,2,-1],[2,1,
3,-1,2,1,1,1,3,-1],[4,2],[5,1,4,1,5,2]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[
2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,
-1,1,1,7,1],[4,2],[9,2,8,1,9,1,8,1,4,1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[
2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,
-1,1,1,7,1],[4,2],[4,1,8,1],[8,1,9,1,10,2,9,1,4,1]]],[[[1,1,2,-1],[2,1,3,-1,2,
1,1,1,3,-1],[4,2],[5,1,4,1,5,2]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,
1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,
1,7,1],[4,2],[4,1,8,1,9,1,8,1,9,1,8,1,4,1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,
-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,
1],[7,-1,1,1,7,1],[4,2],[4,1,8,1],[8,1,9,1,10,2,9,1,4,1]]],[[[1,1,2,-1],[2,1,
3,-1,2,1,1,1,3,-1],[4,2],[5,1,4,1,5,2]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[
2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,
-1,1,1,7,1],[4,2],[9,2,8,1,4,1,8,1,9,1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[
2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,
-1,1,1,7,1],[4,1,8,1],[4,2,8,1,4,1,8,1,9,2]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,1,
3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,
1,1],[7,-1,1,1,7,1],[4,2],[9,1,4,1,9,1,8,1,9,1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,
1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,
-1,1,1],[7,-1,1,1,7,1],[4,2],[9,2,8,1,9,1,8,1,4,1]]],[[[1,1,2,1],[3,1,2,2,3,1,
2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[8,1,5,-1,8,-1,5,-1,
8,1]],[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,
6,1,7,1],[5,2],[8,1,5,1,9,1,8,-1,9,1]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[
4,2],[5,1,4,1,5,2]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[
5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,1,8,
1],[8,1,9,4]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,-1,11,1,12,1,11,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,10,-1,11,-2,10,-1,11,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[10,1,7,1],[10,1,11,1,10,-1,7,1,11,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,
10,-1,11,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1],[5,4],[1,1,2,1],[2,1,1,
1],[1,1,2,-2,7,-1,8,2,2,1,8,1,7,1],[6,1,9,1,6,-1,9,1]],[[1,1,2,1],[2,1,1,1],[
4,1,2,1,3,4,4,1],[5,4],[1,1,2,1],[2,1,1,1],[1,1,2,-2,7,-1,8,2,2,1,8,1,7,1],[6,
-1,9,2,6,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1],[5,4],[1,1,2,1],[2,1,1,
1],[1,1,2,-2,7,-1,8,2,2,1,8,1,7,1],[9,1,6,-1,9,-1,6,1,9,1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,1,3,4,4,1],[5,4],[1,1,2,1],[2,1,1,1],[1,1,2,-2,7,-1,8,2,2,1,8,1,7,
1],[6,-1],[9,1,6,1,9,-1,10,1,9,1,6,1,9,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[11,1,12,2,10,2,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,10,-1],[12,1,11,1,
12,1,11,1]]],[[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[
6,1,7,1,6,1,7,1],[5,2],[5,1,8,1],[10,1,9,1,10,1,9,1]],[[1,1,2,1],[3,1,2,2,3,1,
2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[5,2],[9,1,8,-1],[10,
1,9,1,10,1,9,1]]],[[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,
2,1],[6,1,7,1,6,1,7,1],[5,2],[9,2,8,-1,5,-1,9,-1]],[[1,1,2,1],[3,1,2,2,3,1,2,
1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[5,2],[8,1,5,-1,9,-1,8,
1,9,-1]]],[[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[
7,3],[8,1,5,1],[8,1,9,-1,5,-1,9,1]],[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,
-1],[1,1,2,1],[2,3,6,2],[7,3],[8,1,5,1],[5,-1,8,1,9,1,8,1,9,-1]]],[[[1,1,2,
1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[7,3],[8,2,5,-1,8,
-2]],[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[7,3],[
5,1,8,-1,5,-1,8,1,5,-1,8,1]]],[[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[
1,1,2,1],[2,3,6,2],[7,3],[8,1,5,1,8,-1,5,-1,8,1]],[[1,1,2,1],[2,2],[3,1,4,1,1,
1,2,-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[7,3],[8,2,5,-1,8,-2]]],[[[1,1,2,1],[3,
1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[8,-1,5,-1,
8,-1,5,-1,8,-1,5,-2]]],[[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,
1,1,2,1],[6,1,7,1,6,1,7,1],[8,-1,5,-1,8,-1,5,1]]],[[[1,1,2,1],[3,1,2,2,3,1,2,
1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[8,1,5,-1,8,-1,5,
-3]],[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,
6,1,7,1],[5,2],[9,1,8,1,9,1,5,1,8,-1]]],[[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,
4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[5,1,8,-1,5,-2,8,-1,5,-1,8,
-1]],[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,
6,1,7,1],[5,2],[9,1,8,1,9,1,8,-1,5,-1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,
10,1,7,1,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,2,11,-1,7,1,10,1,11,-1,10,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,1],[7,1,10,-1,11,1,12,1,10,1,7,1,11,-1,
12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1],[11,1,12,1,11,1,12,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[10,1,7,1],[7,1,10,-1,11,-3,10,-1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,
7,1,10,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,4,11,-1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[10,1,11,3,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,2],[12,1,
13,-1,12,1,13,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-2,7,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[
4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,
6,1],[10,2],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,
2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-2,6,1,9,-1]]],[[[1,1,2,
-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,
-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[8,1,9,1],[9,1,10,2,4,1,8,
1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,
-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[4,1,8,1,9,1,8,1,
9,1,8,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,1,11,1,10,-1,7,1,11,1,10,-1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[11,1,10,1,7,1,10,-1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,
1,7,1],[11,1,7,1,12,3,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-2],[12,1,11,1,12,
1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,2,12,-2,11,-1,12,1,10,-1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[7,1,10,-2],[12,1,11,1,12,1,11,1]]],[[[1,1,2,-1],[2,1,3,
-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,
-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[4,-1,9,-1,8,1,4,1,9,1]],[[1,1,2,-1],[2,
1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,
2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[8,1,4,-1,8,1,9,1,8,1,9,2]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[11,1,10,1,11,1,12,-2,11,-1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[11,2],[12,2,10,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-2,12,
2,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,1],[12,1,11,1,12,1,11,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,11,3,7,1,10,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1],[11,1,
12,1,11,1,12,1]]],[[[1,1,2,-3,1,1,2,1,1,1],[3,6]],[[2,1,1,1],[1,1,2,2,3,-1,2,
-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,
2],[6,1,8,1],[10,1,9,1,6,1,10,-1,8,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,
2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,2,
10,2,11,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,10,-3,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[10,2,11,2,12,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,11,-3,10,-1]]],[[[2,1,1,
1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,
1,1,1],[7,6],[8,1,6,1],[9,1,8,1,9,-1,6,1,8,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,
3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1,
6,-1,8,1,6,-1,8,1,6,2]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,
1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[8,1,6,1],[9,1,6,2,9,1]],[[2,1,
1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,
2,1,1,1],[7,6],[6,1,8,1],[8,1,6,1],[9,1,10,-1,9,1,10,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[7,1,10,-2],[12,1,11,1,12,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,2,10,-1,7,
1,10,-2,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,10,1,12,
-1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,11,-3,10,-1]]],[[[1,1,2,-1],[2,1,3,-1,2,
1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,
5,-1,1,1],[7,-1,1,1,7,1],[4,1,8,1,4,-1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[
2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,
-1,1,1,7,1],[4,2],[8,1,9,2,4,1,8,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,
11,2,9,2,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,
1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,9,1,6,1,10,-2,9,-1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[11,1,12,2,10,2,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,7,1,
11,-2,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,11,-1,10,1,7,1,10,-1,11,1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,11,4,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,
2,12,-1,11,1,12,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,11,2,10,1,11,1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[10,1,11,1],[10,1,7,1,12,-1,11,-1,12,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[11,1,10,1],[11,1,12,1,11,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
11,1,12,4,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,1,10,-1,11,-2]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[10,1,7,1],[12,1,10,2,11,2,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,
10,1,7,1,10,-1,7,1,11,-1]]],[[[1,1,2,-3,1,1,2,1,1,1],[3,6]],[[2,1,1,1],[1,1,2,
2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,
6],[6,1,8,1],[6,2,9,-1,8,1,6,-1,8,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,
1],[12,1,11,2,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,7,1,10,-1,11,2]]],[[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[11,2,12,-1,11,1,12,-2]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,2,
7,1,10,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,
2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,2,11,-1,10,1,11,-2]],[[1,1,2,1],[
2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,
9,2,6,1,9,-2]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,
1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[9,1,
4,1,8,1,4,-1,9,-1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[
5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[9,
3,8,1,4,1,8,1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,
6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,1,8,1],[8,
1,9,1,4,-2,8,1,4,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[6,1,9,-2,11,-1,10,2,
11,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[9,1,10,1,6,1,9,-2,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,10,1],[
11,1,10,1,11,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-2,12,-1,11,
2,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,1,7,1,10,-2,11,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,11,1],[12,1,11,1,12,1,11,1]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,
-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,
1],[7,-1,1,1,7,1],[4,1,8,1,4,-1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,
1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,
1,7,1],[4,2],[9,2,8,1,9,-2]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,
1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,
1],[4,2],[9,1,4,1,9,1,8,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,
-1,10,-1,11,1,12,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,10,-1],[12,1,11,-1,12,
1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-2,12,-1,11,2,12,1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[11,1,7,1,10,-2,11,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[6,1,9,
-2,11,-1,10,2,11,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,
7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,6,1,9,-2,10,2]]],[[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[11,2,10,1,7,1,10,-1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,-1,7,1,
11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1],[5,4],[1,1,2,1],[2,1,1,1],[1,
1,2,-2,7,-1,8,2,2,1,8,1,7,1],[6,-1,9,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,
1],[5,4],[1,1,2,1],[2,1,1,1],[1,1,2,-2,7,-1,8,2,2,1,8,1,7,1],[6,1,9,1,6,-1,9,
1]]],[[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[7,
3],[8,2,5,-1,8,2,5,1]],[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,
1],[2,3,6,2],[7,3],[8,1,5,1],[5,-1,8,1,9,1,8,1,9,-1]]],[[[1,1,2,1],[2,2],[3,1,
4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[7,3],[5,-1,8,-2,5,-1,8,2,5,1]],[[
1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[7,3],[5,-1],[
5,1,8,1],[10,1,9,-1,8,1,10,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,
12,2,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,11,1,10,1,11,1]]],[[[1,1,2,1],[
3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[5,1,8,1,
5,2]],[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,
6,1,7,1],[8,1,5,1,8,-1,5,-2,8,1]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,
1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,
1,1,7,1],[4,2],[9,1,8,1,9,2,4,1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,
1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,
1,7,1],[8,1,4,-1,8,1,4,-1,8,1,4,3]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,10,-1],[
11,1,12,1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,1,11,4,10,-1,7,1]]],[[[1,1,
2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,
5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[9,2,8,1,9,-2]],[[1,1,2,-1],[
2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,
1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[4,1,8,1,9,1,8,1,9,1,8,1,4,1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,11,2,12,2,11,-1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[7,1,10,-2],[12,1,11,1,12,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,
2,2,1,4,1,3,1],[5,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1],[5,4],[1,1,2,
1],[2,1,1,1],[1,1,2,-2,7,-1,8,2,2,1,8,1,7,1],[6,1,9,2,6,-1]]],[[[1,1,2,-1],[2,
1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,
2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[8,1,9,-1,8,1,9,1]],[[1,1,2,-1],[2,1,
3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,
-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[9,2,8,1,9,1,8,1,4,1]]],[[[1,1,2,1],[3,
1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[8,-1,5,3,
8,1,5,-1]],[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,
1,7,1,6,1,7,1],[5,2],[8,-1,9,1,8,1,9,1]]],[[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[
4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[5,1,8,-1,5,2,8,1,5,1]],[[1,1,
2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[5,
2],[5,1,8,-1,9,-1,5,1,8,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,4,-1,1,1,
2,-2,3,1]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[4,2],[5,1,4,1,5,2]],[[1,1,2,
-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,
-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[8,1,4,-1,8,1,9,-1,8,1,9,
2]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,
6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,1,8,1],[4,2,9,
-2]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,
-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,1,8,1],[8,1,4,3,8,1,
9,2]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,
1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[4,1,8,1],[10,
1,9,1,4,1,8,1,10,1,9,1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,
-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,
2],[4,1,8,1],[8,1,9,1,10,2,9,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,
-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,2,9,-1,
10,-2,9,-1,10,-1,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1,9,-1],[10,1,11,1,10,1,
11,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,11,-1,9,-1,11,2,10,-1,11,1,9,-1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[6,1,9,1],[9,1,6,1],[11,1,9,1,10,3,6,1,11,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[
10,2],[11,1,12,-1,11,1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,2,10,
-1,11,-2,10,-1,11,-1,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,10,-1],[11,1,
12,1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,-1,10,-1,12,2,11,
-1,12,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,1,11,3,7,1,12,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,2],[12,1,13,-1,12,1,13,-1]]],[[[1,1,
2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[6,1,9,1],[9,1,6,1],[10,1,9,1,11,-2,6,1,9,-1,10,1,9,1,10,1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,
-1],[10,1,6,1,9,1],[10,1,11,1,10,1,11,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,
4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1,10,-1,9,-2,
6,1,9,-1,10,1,9,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,
7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,6,1,11,2,9,1,10,2]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[
8,3],[6,1,9,1],[6,1,9,-2],[11,1,10,1,11,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,
1,7,1],[11,1,10,1,12,-2,7,1,10,-1,11,1,10,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1],[
11,1,7,1,10,1],[11,1,12,1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,11,-1,
10,-2,7,1,10,-1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,
10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-2],[12,1,11,1,12,1,11,1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,-1,12,1,10,-1,12,-1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,-2,7,1,10,2,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,2,
11,1,10,1,7,1,11,-1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1],[11,1,12,
1,11,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,
1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,1,11,1,10,-1,11,1,10,-1,11,1,9,
-1,11,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,-2,6,1,9,2,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,9,-1],[11,2,
10,1,9,1,6,1,10,-1,9,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,
3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,9,1],[10,1,11,1,10,1,11,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,1,11,1,10,-1,7,1,10,1,7,1,10,-2,11,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,1,7,1],[10,1,11,-1,10,-1,7,1],[12,1,11,1,12,1,11,1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[10,1,7,1],[7,1,10,-1],[12,1,11,-2,7,1,10,1,7,1,11,1,12,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,2]]],[[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
10,1,7,1],[10,1,12,1,11,-1,12,2,11,-1,12,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,
1,7,1],[10,1,11,1],[13,1,12,2,13,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,
-1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1],[7,1,10,-1,12,
-2,10,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-1],[10,2,11,-1,12,1,7,1,10,1,
11,-2,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,10,1,12,-1,11,2,10,1,12,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[11,1,7,1,10,1,7,1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
10,1,7,1],[12,1,10,-1,11,-2,12,1,10,1,12,1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
10,1,7,1],[10,1,12,1,11,-1,12,2,11,-1,12,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-2,7,1,
10,2,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,2]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[10,1,7,1],[7,1,10,1,11,-1],[11,1,12,-1,11,1,12,-1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[
9,1,6,1],[9,1,11,1,10,-1,11,2,10,-1,11,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-2,6,1,9,2,6,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,6,1,11,2,9,1,10,2]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[
6,1,9,1,10,-1],[10,1,11,-1,10,1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
10,1,12,1,11,-1,12,1,11,-1,12,1,10,-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,
11,-2,10,-1,7,1,10,-1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,2,10,-2,7,1,11,1,
10,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,2,10,1,12,1,10,1,12,1,11,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,-1,11,1,12,2,11,-1,10,-1,11,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,2,11,-1,12,1,11,-1,10,-1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,-1],[11,1,7,1,10,1],[11,1,12,1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[10,1,7,1],[12,1,11,-1,10,-1,11,2,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,
10,-1],[10,2,11,-1,12,1,7,1,10,1,11,-2,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,
-1],[11,2],[12,1,13,1,12,1,13,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1],[11,1,12,
1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1,10,-1],[11,1,12,-1,11,1,
12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,1,10,-1,7,1,10,-1,11,1,10,1,11,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[10,1,7,1],[10,1,11,-1,10,-1,7,1],[12,1,11,1,12,1,11,1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
10,1,7,1],[12,3,11,-2,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,
11,-1,12,1,11,-1,12,1,10,-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,2,10,-2,7,1,11,
1,10,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-1,11,1,10,1,12,-1,11,-1,
12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,2,10,1,12,1,10,1,12,1,11,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,-1,12,1,10,
-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1],[11,1,12,1,11,1,12,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,
1,10,-1],[12,2,11,1,10,1,7,1,11,-1,10,-1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,
1,7,1,11,-1,10,-2,7,1,10,-1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,10,1,7,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,1,10,-1,11,1,7,1,10,-1,12,1,11,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,2,11,1,12,1,10,-1,11,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1],[9,1,6,1,10,-1,9,-2,6,1,9,-1,10,1,9,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-1,6,1,9,1,6,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[6,1,9,1],[6,1,9,-1],[11,1,9,-1,10,1,6,1,9,-1,11,1,10,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1],[6,1,9,-1],[11,2,10,1,11,1,9,-1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[11,1,7,1,12,2,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,-1,7,1,11,1,10,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,1,12,-1,11,2,10,1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[10,1,7,1],[10,1,11,-1,10,-1,7,1],[12,1,11,1,12,1,11,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[12,1,10,1,12,1,11,-1,12,1,10,-1,11,-2]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[10,1,11,1],[12,1,11,1,12,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,
1],[7,1,10,-1,11,1,10,1,12,-1,11,-1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
11,2,10,1,12,1,10,1,12,1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,2,10,
1],[12,1,13,-2,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,-1,7,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
10,1,7,1],[11,1,7,1,12,2,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,
10,-2,12,-1,11,2,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,-1,10,-1,
12,2,11,-1,12,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,-1,10,-1,11,-1,10,
1,7,1,10,-1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,1,11,3,7,1,12,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,-1,12,1,10,
-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,10,-1,11,-1,12,1,10,
2,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1,10,-1],[11,1,12,-1,11,1,12,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,6,1,11,2,9,1,10,2]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[
9,1,6,1],[10,1,11,2,9,2,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,
3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[6,1,9,2,10,-1],[10,1,11,-1,
10,1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,
2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,2,10,2,11,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,
7,1],[7,1,10,2,11,-1],[11,1,12,-1,11,1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[
9,1,11,-1,10,1,11,2,10,-1,9,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,
-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,1,11,1,
10,-1,11,1,10,-1,11,1,9,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-1],[10,1,6,1,9,1],[10,1,11,1,
10,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,-1,11,1,12,2,11,-1,10,
-1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,-1,12,1,
10,-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1],[11,1,7,1,10,1],[11,1,12,1,11,1,12,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,1,11,3,7,1,12,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[11,2,10,1,7,1,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,7,1,10,
1,7,1,11,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,
1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,1,9,1,10,3,6,1,11,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1],[10,2,9,1,6,1,9,1,10,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,6,1,9,1,6,1,10,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,-1,10,-1,12,2,11,-1,12,1,10,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-1,11,3,12,-2]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[10,1,7,1],[11,1,10,1,11,1,12,-1,11,2,10,1,12,-1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[10,1,7,1],[11,1,12,-1,10,-1,12,2,11,-1,12,1,10,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,-1],[11,1,7,1,10,1],[11,1,12,1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,
11,-1,10,-2,7,1,10,-1,11,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,
2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,10,4,9,1,6,1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[9,1,6,1],[9,2,10,-1,6,1,9,1,10,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1,9,1,6,1,9,-1,6,1,
9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,4,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[
10,2,11,-1,7,1,10,1,11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,1,7,1,10,-1,7,1,10,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[10,1,9,1,10,1,6,1,9,-1,10,-2]],[[1,1,2,1],[2,1,1,1],[
4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1,9,1,6,
1,9,-1,6,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[
1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[9,2,10,-1,6,1,9,1,10,-1,9,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[11,1,10,1,11,1,7,1,10,-1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,1,7,
1,10,-1,7,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,2,11,-1,7,1,10,1,11,-1,10,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,1,10,-1,9,-1,10,2,11,-1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,
1],[10,1,6,1,9,1,10,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,2,9,1,6,1,9,-1,10,-2]]],[[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,10,-1,11,2,12,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,
1,7,1],[11,1,7,1,10,1,11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,1,10,
-1,11,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,1,11,3,7,1,12,1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[11,1,10,1],[11,1,12,1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,
1],[7,1,10,1,11,-1,10,-1],[11,1,12,-1,11,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,
1,7,1],[10,1,12,1,11,-1,12,1,10,-1,11,-2,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,
1,10,-1,11,-1,10,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,10,-1,
11,2,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,
2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1],[11,1,12,1,11,1,12,1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,
1,7,1],[7,1,10,1,11,-1,10,-1],[11,1,12,-1,11,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[10,1,7,1],[12,2,11,-1,12,1,11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,
1],[11,2,12,3,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,7,1,10,1,11,-1,10,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[9,1,10,4,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[9,2,6,1,9,1,10,
-2,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,-1,9,1,11,-1,10,1]]],[[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[10,1,11,4,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,2,7,1,10,1,11,-2,10,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,-1,10,1,12,-1,11,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[11,1,12,2,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,1,
11,-1,10,-1,7,1],[12,1,11,1,12,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,2,7,1,10,1,
11,-2,10,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,
1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,11,2,9,1,10,2]],[[1,1,2,1],[
2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,
6,1],[9,1,10,-1,9,-1,6,1],[11,1,10,1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[9,2,6,1,9,
1,10,-2,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,2,10,-1,11,-2,10,-1,11,
-1,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,-1,11,-2,12,1,11,-1,
10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,-1,10,-1,12,2,11,-1,
12,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-1],[13,1,11,1,12,
-2,13,1,11,-1,10,-2,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,
12,1,11,-1,12,1,10,-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,-1,10,-2,11,1,10,1,11,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-2,11,1,12,2,11,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[7,1,10,-1,11,3,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,10,
-1],[12,1,11,1,12,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,10,1,12,
-1,11,2,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,2,12,-2,11,-1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[10,1,7,1],[11,1,10,-2,7,1,10,2,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[12,1,10,-1,11,-2,12,1,10,1,12,1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,
1],[12,1,10,2,11,2,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,7,1,10,1,7,1,11,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-2,12,-1,11,2,12,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[10,1,7,1],[7,1,10,1,11,-1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,
10,2,7,1,10,-2,7,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-2,11,1,
12,2,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,10,1,11,1,12,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,10,-1],[12,1,11,1,12,1,11,1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,-1,12,1,10,-1,12,-1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,-1],[11,1,7,1,10,1],[11,1,12,1,11,1,12,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[12,1,11,-1,10,-1,11,2,12,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[
11,1,10,-1,9,-1,10,2,11,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,2,9,1,6,1,9,1,10,2]],[[1,1,
2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[6,1,9,1],[9,1,6,1],[11,1,9,2,10,2,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[12,1,11,-1,10,-1,11,2,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,1,10,1,
11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,2,11,2,12,1]]],[[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[10,1,7,1],[10,1,12,-1,11,1,12,1,10,1,12,1,11,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,-1,7,1,10,-1,11,2,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,2],[12,1,11,2,
10,-1,7,1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,-2,7,1,10,2,11,-1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[11,1,10,1],[11,1,12,1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-2,7,1,
10,2,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,7,1],[11,1,12,-1,11,1,12,-1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,-2,7,1,10,2,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1],[11,1,
12,-1,11,1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,11,1],[7,1,10,-1,12,
-2,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[11,2],[12,1,13,1,12,1,13,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[10,1,7,1],[10,1,11,-1,10,-1,7,1],[12,1,11,1,12,1,11,1]]],[[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,1,11,3,7,1,12,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,2,11,2,7,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,
10,1,11,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,2],[12,1,13,-1,12,1,13,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,2,7,1,10,-1,7,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,
10,-1],[11,1,12,1,11,1,12,1]]],[[[1,1,2,-3,1,1,2,1,1,1],[3,6]],[[2,1,1,1],[1,
1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,
1],[7,6],[6,2],[9,1,6,1,8,1,6,-1,9,-1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[
1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1],[8,1,
6,-1,9,-1,8,1,9,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,
7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,1,10,-1,9,-1,10,2,11,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[6,1,9,1],[10,1,6,1,9,1,6,1,10,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,
2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,
1,9,2,10,2,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,10,-1,11,2,
12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,7,1,10,1,7,1,11,-2]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[12,1,10,2,11,2,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
11,1,12,2,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,-1,7,1,11,1,10,-1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[10,1,7,1],[10,2,7,1,10,1,11,-2,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,
1,7,1],[7,1,10,-2,11,1,12,2,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,2,11,-1,10,
-1,7,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,10,-1],[12,1,11,1,12,1,11,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,2,10,-1,11,-2,10,-1,11,-1,10,1,7,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[10,1,7,1],[11,1,10,-1,7,1,11,1,10,-1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[10,1,7,1],[10,1,12,1,11,-1,12,1,10,-1,11,-2,10,1,7,1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[10,1,11,1],[13,1,12,2,13,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,
2,7,1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1],[11,1,
12,-1,11,1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,-1,11,1,12,
2,11,-1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-2,10,-1,12,
-1,11,-1,10,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,10,1,7,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,-1,12,1,10,-1,12,-1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,-1],[11,1,7,1,10,-1,11,1,7,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,2,10,-2,7,
1,11,1,10,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,
1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,1,11,1,10,-1,11,1,10,-1,11,1,9,
-1,11,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,-1],[10,1,6,1,9,-1,10,1,6,1,9,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[
10,2,9,-2,6,1,10,1,9,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,2,10,-1,11,1,10,
-1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,-1],[10,1,6,1,9,-1,10,1,6,1,9,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[
10,1,6,1,9,1,10,-1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,2,11,-1,12,1,
11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1],[11,1,7,1,10,-1,11,1,7,1,10,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[10,1,7,1],[11,1,7,1,10,1,11,-1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,
1],[12,2,11,-1,12,1,11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,7,1,10,-1,
11,-1,10,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,2,10,2,11,1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[11,2,10,1],[7,1,10,-1,12,-2,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,
1],[10,1,11,1,10,-1,7,1,11,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1],[
11,1,12,-1,11,1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,-1,10,-1,
12,2,11,-1,12,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,1,11,1,10,1,11,
1,12,1,11,2,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,
-1,12,1,10,-1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,10,1,12,-2,7,1,
10,-1,11,1,10,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,4,10,1,7,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1,11,-1,10,-2,7,1,10,-1,11,1,10,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,-1,12,1,10,-1,12,-1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[7,1,10,-1,7,1,11,-2,10,-2,7,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[11,1,7,1,12,2,10,1,11,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,11,-1,10,-2,
7,1,10,-1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,10,1,12,-3,7,1,
11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-2],[12,1,11,1,12,1,11,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[10,1,7,1],[11,1,10,-2,7,1,10,2,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,7,1,
11,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-2,7,1,10,2,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[10,1,9,
-2,6,1,9,2,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[
1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,6,1,10,-2,9,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-2,6,
1,9,2,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,10,-1,11,
-2,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,1,10,1,11,2]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[10,1,7,1],[12,1,10,2,11,2,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
12,1,11,-1,10,-1,11,-1,12,1,10,-1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
12,1,10,1,11,3,7,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,
1,11,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,1,10,1,11,1,10,1,7,1,10,-1,11,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[10,1,7,1],[10,2,7,1,10,1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[11,2,10,1,12,1,10,1,12,1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1],[
10,1,7,1,12,-1,11,-1,7,1,10,-1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1],[11,1,7,1,10,1],[
11,1,12,1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-2],[12,1,11,1,12,1,11,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,-1,12,1,10,
-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,11,2],[13,1,12,2,13,1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[10,1,7,1],[11,2,10,-2,7,1,11,1,10,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[
9,1,11,1,10,-1,11,1,10,-1,11,1,9,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,1,
10,2],[12,1,11,2,12,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[
5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[10,2,9,-2,6,1,10,1,9,2]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[7,1,10,-1],[12,1,11,-1,12,1,10,-1,13,2,11,2,10,1,12,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,2]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[12,1,10,2,11,1,7,1,10,-1,12,-1,11,-2]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[10,1,7,1],[12,1,10,1,11,3,7,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[11,1,10,1,11,1,12,2,10,1,12,1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,10,1,7,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,1,10,-1,11,1,7,1,10,-1,12,1,11,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,2,11,1,12,1,10,-1,11,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,-1,12,1,10,-1,12,-1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-2,11,1,12,-1,11,1,12,1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[11,1,12,-1,10,-1,12,2,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,
10,-1],[12,2,11,3,7,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,-1,
10,-1,12,2,11,-1,12,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,2,11,
2,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,2,10,1,12,-1,11,1,10,1,11,1,12,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,-1,11,-2,12,1,11,-1,10,-1,
11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,-1,11,1,12,2,11,-1,10,-1,
11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,-1,10,1,12,-1,11,1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[10,1,7,1],[12,1,10,1,11,3,7,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,
10,-1],[12,2,11,1,12,1,10,-1,11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,
-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[9,2,10,-1,6,1,9,1,10,
-1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,-1,9,1,11,-1,10,1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,
-1,6,1,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,
1,2,1],[2,1,7,2],[8,3],[9,1,6,1,9,1,6,1,9,-1,6,1,9,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,
7,1],[10,2,11,-1,7,1,10,1,11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,
-1,10,1,12,-1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,10,1,7,1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,
1,7,1,10,1,7,1,10,-1,7,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,
-1,11,1,12,2,11,-1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,-1,10,
1,12,-1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[7,1,10,-1],[12,2,11,1,12,1,10,-1,11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,
2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,1,
11,-1,10,1,11,2,10,-1,9,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,-1,9,1,11,-1,
10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,-1,6,1,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,
2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,9,-1],[11,2,10,1,11,
1,9,-1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,2,10,-1,11,-2,10,-1,11,
-1,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1],[10,2,7,1,10,-1,11,3,7,1,10,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[12,1,10,1,11,2,7,1,10,-1,11,1,12,2]]],[[[1,1,2,1],[
2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,
9,1],[9,1,6,1],[11,2,9,-1,10,-2,9,-1,10,-1,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,
1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-1],[9,2,6,
1,9,-1,10,3,6,1,9,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,
7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,1,9,1,10,2,6,1,9,-1,10,1,
11,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-2,10,-1,12,-1,11,-1,10,
-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,1,7,1],[10,1,11,-1,10,-1,7,1],[12,1,11,1,12,1,11,1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,2,10,1,11,2]]],[[[1,1,2,1],[2,1,1,1],[
4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,
6,1],[11,1,10,-2,9,-1,11,-1,10,-1,9,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,
4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[9,1,10,-1,9,-1,6,
1],[11,1,10,1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,11,2,9,1,10,
2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-1,11,-3,10,-1,7,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1,7,1,10,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1],[11,1,12,-1,11,1,12,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[9,1,6,1],[6,1,9,-1,10,-3,9,-1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1,6,1,9,-2]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[
8,3],[9,1,6,1],[6,1,9,1,10,-1],[10,1,11,-1,10,1,11,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[7,1,10,-1],[12,1,11,2,10,1,12,1,11,1,10,1,11,1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[7,1,10,-1],[12,2,11,3,7,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,
7,1,12,2,10,1,11,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,
1,11,-1,12,1,10,-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,1,10,1,11,
2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[11,2,7,1,10,-1,12,2,11,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[11,1,12,2,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,
7,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,10,-1],[11,1,12,1,11,1,12,1]]],[[[
1,1,2,-3,1,1,2,1,1,1],[3,6]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,
1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,1,8,1],[9,1,8,1,9,
1,10,-2,9,-1,10,-1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,
-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1],[8,1,6,-1,8,1,9,1,6,2,8,
1,9,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,10,-2,11,1,10,1,11,1,
12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,1,7,1],[11,2,10,-2,7,1,11,1,10,2]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[12,1,11,-1,12,1,10,-1,11,1,10,1,11,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[12,1,11,-2,10,1,7,1,10,1,12,-1,11,-1,12,1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,
1,7,1],[7,1,10,1,11,-1,10,-1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,11,1],[7,
1,10,-1,12,-2,10,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,-1,11,
-2,12,1,10,1,12,1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,1,10,-1,11,1,
10,1,7,1,11,-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1,10,-1],[11,1,12,
-1,11,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-1,11,1,10,1,12,-1,
11,-1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,11,-2,10,-1,7,1,10,-1,11,1,10,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[10,1,7,1],[11,2,10,-2,7,1,11,1,10,2]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,
1],[10,2,11,1,10,1,11,-1,10,-1,7,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,
2,10,1,11,1,10,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,2,11,-1,10,-1,7,1,10,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-2,12,-1,11,2,12,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,2,7,1,11,1,7,1,10,-2,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,
1],[10,1,12,1,11,-1,12,2,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,10,
1,12,-2,7,1,10,-1,11,1,10,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,2,
11,1,12,1,10,-1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,1,11,3,7,1,
12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,-1,11,-1,12,2,11,-2,10,1,
7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,7,1,11,1,10,1,7,1,11,1,10,2]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[11,2,10,1],[12,1,13,-2,12,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[10,1,12,-1,11,-1,12,1,11,1,12,-1,10,-1,12,-1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[10,2,7,1,11,1,7,1,10,-2,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
10,1,12,1,11,-1,12,2,11,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,
3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,11,-2,6,1,9,
-1,10,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[9,1,6,1],[6,1,9,2,10,-1],[10,1,11,-1,10,1,11,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
9,1,6,1],[10,1,9,-1,6,1,10,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,
12,-2,7,1,10,-1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,2,11,-1],[11,1,12,-1,11,
1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,-1,7,1,11,1,10,-1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[10,1,7,1],[10,1,12,-1,11,-1,12,1,11,2,10,1]],[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[
7,1,10,1,11,-1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,2,7,1,10,-2,
7,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[11,2],[12,1,13,1,12,1,13,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-2,12,2]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[11,2,10,1,7,1,10,-1,11,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,1,
11,2,12,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,1,10,-1,11,-2]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[10,1,7,1],[10,2,11,1,10,1,11,-1,10,-1,7,1,11,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[
9,1,6,1],[10,1,11,-1,9,-1,11,2,10,-1,11,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,9,-1],[
11,1,10,2,9,1,11,1,10,1,9,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,9,-1],[11,2,10,3,6,1,
9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,-1,10,-1,12,2,11,-1,12,1,
10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,1,11,2,10,1,12,1,11,1,10,1,11,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,2,11,3,7,1,10,-1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[10,1,7,1],[11,1,12,-1,10,-1,12,2,11,-1,12,1,10,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,11,4,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,11,-1,10,-2,7,1,
10,-1,11,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,
7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,11,-1,9,-1,11,2,10,-1,
11,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,10,4,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1,10,
-1,9,-2,6,1,9,-1,10,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,10,
-2,11,1,10,1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[11,2,7,1,10,-1,
12,2,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,1,10,1,11,2]]],[[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,2,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,
10,-1,11,-1,7,1,10,1,7,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,2,11,2,
12,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,2,10,1,11,2]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[10,1,7,1],[11,1,12,2,10,2,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
10,1,12,-1,11,-1,12,1,11,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,
3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,9,-2],[11,1,10,1,11,1,10,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[6,1,9,-1,6,1,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,10,4,9,1,6,1]],[[1,1,
2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[6,1,9,1],[9,1,6,1],[10,-1,9,1,11,-1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,
10,-2],[12,1,11,1,12,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,10,1,7,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,11,4,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,-1,
10,1,12,-1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,
-1,12,1,10,-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[11,2,7,1,10,-1,12,
2,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,2]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[7,1,10,-1],[12,2,11,1,10,1,7,1,11,-1,10,-1,11,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[11,1,12,-1,10,-1,12,2,11,-1,12,1,10,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[10,1,7,1],[11,2,10,-2,7,1,11,1,10,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
10,1,12,1,11,-1,12,1,11,-1,12,1,10,-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,
1],[7,1,10,-1,11,1,10,1,12,-1,11,-1,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,
1],[11,1,10,1,11,1,12,2,10,1,12,1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,4,10,
1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,-1,10,1,12,-1,11,1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[7,1,10,-1],[12,2,11,1,12,1,10,-1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
10,1,7,1],[10,1,12,-1,11,1,12,2,11,-1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,
1,7,1],[11,-1,10,1,12,-1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,2,11,1,
12,1,10,-1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,-3,10,-1,7,1,10,
-1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[
1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,1,8,1],[8,1,9,1,10,2,9,-1]],[[2,1,1,1],[
1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,
1],[7,6],[6,2],[6,1,8,1],[9,1,6,1,10,-1,9,-1,10,-1,8,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[10,1,12,-1,11,1,12,2,11,-1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[11,-1,10,1,12,-1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[
12,1,10,-1,11,1,7,1,10,-1,12,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,-3,
10,-1,7,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,12,1,10,-1,
11,1,10,1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,2,11,-3]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,10,-1,11,-1,10,1,12,-1,11,1,12,1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[7,1,10,-2],[12,1,11,1,12,1,11,1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[11,1,7,1,10,-1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,1,10,-1,11,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,4,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,
2,7,1,10,1,11,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,10,1,7,1]]],[[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
10,1,7,1],[7,1,10,-2,11,-1,7,1,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,-1,7,1,
10,-1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,1],[12,1,11,1,10,1,7,1,12,-1,11,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1,10,-1],[11,1,12,-1,11,1,12,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,1,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
11,1,7,1,10,1,7,1,11,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,10,
-1,11,2,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-2],[12,1,11,1,12,1,11,1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,2,10,2,11,1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[10,1,7,1],[12,1,11,-1,10,-1,11,2,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,7,1,
10,1,11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-2],[12,1,11,1,12,1,11,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,2,10,2,11,1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[10,1,7,1],[10,1,11,3,12,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-1,11,-1,
7,1,10,1,7,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,2,10,1],[12,1,13,
-2,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,1,11,1,10,1,12,1,11,2]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-2,12,-1,11,2,12,1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[12,1,11,-1,10,-1,11,2,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,
10,1,7,1,10,-1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-2],[12,1,11,1,12,1,11,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,1,10,-1,9,-1,10,2,11,-1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,
1],[10,2,9,1,6,1,9,-1,10,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,9,-2],[11,1,10,1,11,1,10,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,-1,11,-1,12,1,10,1,11,2,12,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1],[11,1,12,1,11,1,12,1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
10,1,7,1,10,1,7,1,10,-1,7,1,10,-1]]],[[[1,1,2,-3,1,1,2,1,1,1],[3,6]],[[2,1,1,
1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,
1,1,1],[7,6],[6,2],[6,1,8,1],[10,1,9,-1,10,-1,8,1,6,-1,8,1,9,1]],[[2,1,1,1],[
1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,
1],[7,6],[6,2],[6,1,8,1],[10,1,9,1,10,-1,8,1,9,1,8,1,6,1,10,-1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1],[9,1,6,1],[10,2],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[10,1,9,
-1,6,1,10,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[
1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,11,2,9,2,10,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[11,2],[12,1,13,-1,12,1,13,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,
7,1],[11,1,10,-1,7,1,11,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,2,
10,2,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,10,-1,11,2,12,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,-1,11,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[11,2,10,1,7,1,10,1,11,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
10,1,11,3,12,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,1,11,-1,7,1,10,1,11,1,10,-2]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[10,1,7,1],[7,1,10,-1,11,-1,7,1,10,1,7,1,11,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[
9,1,6,1],[9,1,10,3,11,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[9,1,10,-1,6,1,9,1,10,1,9,
-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[9,1,6,1],[6,1,9,-1,10,-1,6,1,9,1,6,1,10,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,
7,1],[7,1,10,1,11,-1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,
10,1,7,1,10,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,11,-1,10,1,7,1,10,-1,11,-1]]],[[[
1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[
8,3],[9,1,6,1],[6,1,9,1,10,-1],[10,1,11,-1,10,1,11,-1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,2,
9,1,6,1,9,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,
2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,10,-1,9,1,6,1,9,-1,10,-1]]],[[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,10,1,12,-1,11,1,12,1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,
1,7,1],[7,1,10,-2,11,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,11,1,7,1,10,
-1,11,2,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,11,3,12,2]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[11,2,10,1,7,1,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-1,11,
-1,7,1,10,1,7,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,-1,10,-1,
12,2,11,-1,12,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[11,2,7,1,10,-1,12,
2,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,2,11,1,10,1,7,1,11,-1,10,-1,
11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,10,-1,11,-1,10,1,12,-1,
11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,11,3,12,2]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[10,1,7,1],[11,1,12,-1,10,-1,12,2,11,-1,12,1,10,-1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[10,1,7,1],[12,1,10,1,11,3,7,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-2,7,1,10,-2,
7,1,10,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,1,11,-1,10,-1,7,1],[12,1,11,1,12,1,11,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,10,1,11,1,12,1,11,-1,12,1,10,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,1,7,1],[10,2],[11,1,12,1,7,1,10,1,11,1,12,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,-1],[11,1,7,1,10,1],[11,1,12,1,11,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[
4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,
6,1,9,1,6,1,10,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,
7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,9,1,6,1,9,-1,10,-2]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[11,1,7,1,10,1,7,1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,7,
1,10,-1,11,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-2,11,-1,7,1,10,1,11,2]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[10,1,7,1],[7,1,10,1,11,-1],[11,1,12,-1,11,1,12,-1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[10,2,7,1,11,1,7,1,10,-2,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,
-1],[11,1,12,-1,11,1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,2],[12,1,
13,-1,12,1,13,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,3,10,1,7,1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[10,1,7,1],[11,1,12,-1,10,-1,11,1,12,2]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,11,4,10,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,2,11,-1,12,
1,11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,3,10,1,7,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[7,1,10,-2],[12,1,11,1,12,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-2,7,1,
10,-2,7,1,10,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,4,10,1,7,1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
10,1,7,1],[7,1,10,1,11,-1],[11,1,12,-1,11,1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
10,1,7,1],[11,1,7,1,12,3,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,11,1]]],[[[
1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[
8,3],[6,1,9,1],[9,1,6,1],[10,1,6,1,11,3,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,9,1,
10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-1,11,-3,10,-1,7,1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,
1,7,1],[11,2,10,-1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[6,1,9,-1,10,-3,9,-1,6,1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[9,1,6,1],[10,2,9,-1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,-1,
11,1,12,1,10,1,12,1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,11,2]]],[[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[10,1,7,1],[12,1,11,-1,10,-1,11,2,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,
2,10,2,11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,
1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,1,10,-1,9,-1,10,2,11,-1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[6,1,9,1],[10,2,9,2,10,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,
3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,-1,11,1,10,
-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[6,1,9,1],[6,1,10,-1,9,1,6,1,9,-1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[10,1,7,1],[11,-1,12,1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,11,-1,10,1,7,1,
10,-1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,11,1,12,1,11,-1,12,1,
10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1],[11,1,12,1,11,1,12,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1],[9,1,6,1],[9,1,10,1,11,1,10,-1,11,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,9,
1],[10,1,11,1,10,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-1,11,-1,7,1,10,1,7,
1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,2,10,-2,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,
1,7,1],[11,1,12,2,10,2,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,2,7,1,10,1,11,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-2],[12,1,11,1,12,1,11,1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[10,1,7,1],[11,1,12,3,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,11,
1,10,1,7,1,10,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,2,11,-1,7,1,10,1,11,-1,10,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,2,12,-3,11,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,11,1],[12,1,11,1,12,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,2,
11,-3,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,
2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,10,1],[11,1,10,1,11,1,10,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1],[9,1,6,1],[10,1,11,-1,9,-1,11,2,10,-1,11,1,9,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[
9,1,6,1],[10,1,6,1,11,3,10,-1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,
-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[9,1,8,1,9,
-1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,
1,2,-3,1,1,2,1,1,1],[7,6],[8,1,6,1],[9,2,6,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[12,1,10,1,11,3,7,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,-1,
11,-1,12,1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,2,10,1,11,
2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,1,9,1,10,3,6,1,11,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[
9,1,6,1],[9,1,11,-1,10,-1,11,1,10,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,
-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,11,2,
9,1,10,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-1],[11,1,12,-2,13,2,
12,-2,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,1,11,2,10,1,12,1,11,1,10,
1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,1,11,2,7,1,10,-1,12,-2,10,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-1,11,2,12,2,11,-1,10,-2]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-2,10,-1,12,-1,11,-1,10,-2]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[12,1,10,1,11,3,7,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
10,1,7,1,11,-2,10,-1,7,1,10,-1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,7,1,
10,-1,11,2,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,1,10,1,11,1,10,1,7,1,10,
-1,11,1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,
5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1,6,-1]],[[2,1,1,1],[1,1,2,2,3,-1,2,
-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,
2],[6,1,8,1],[9,2,10,-1,8,1,6,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
11,1,12,-1,10,-1,12,2,11,-1,12,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,11,
-1,10,-2,7,1,10,-1,11,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,1,12,1,
11,-1,12,1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,
1,11,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,-1,4,-1,5,-1],[2,1,4,-2,
3,-1,4,1],[6,1,7,1],[8,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,
5,-1],[1,1,2,3],[7,2],[6,1,8,1],[1,1,2,1],[2,1,1,1],[2,1,11,1],[11,1,10,1,12,
-1,11,-1,12,-1],[2,1,11,-2,10,-1,11,1],[13,1,14,1],[9,1,15,-1,9,1,15,1,9,1,15,
1,9,1],[16,1,15,-1,16,-2,15,-1,16,-1,15,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[11,1,7,1,12,2,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,-1,
11,-2,10,1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,11,1],[13,1,12,
2,13,-1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,-1,11,-2,12,1,11,
-1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-1,11,-1,10,-1,7,1,10,1,11,
2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,-1,11,-2,12,1,11,-1,10,-1,
11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,11,1,12,2,10,-1,11,-2]]],[[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,11,4,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,7,1],[
11,1,12,-1,11,1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,2,11,-1,12,1,
11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,-1,11,1,12,1,11,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,-1,12,1,10,
-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-1,11,-1,10,-1,7,1,10,1,11,2]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[7,1,10,-1],[11,2,7,1,10,-1,12,2,11,1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[12,1,10,1,11,2,12,1,11,-1,12,1,10,1,7,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[7,1,10,-1,11,-2,10,1,7,1,10,2,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,
11,1,7,1,10,-1,7,1,10,-2,11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,2,6,1],[10,1,11,-1,10,1,
11,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[
2,1,7,2],[8,3],[6,1,9,-1,6,1,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,
-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[9,2,6,1,9,1,10,-2,9,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,7,1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,-1,7,1,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,2,7,1,10,1,11,-2,10,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-2,11,1,7,1,10,-1,11,1,10,1,11,1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,2]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,2,
11,-1,10,-1,7,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,2,10,-2,7,1,11,1,10,2]]],[[[
1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1],[1,1,2,3],[7,2],[6,1,8,
1],[1,1,2,1],[2,1,1,1],[2,1,11,1],[11,1,10,1,12,-1,11,-1,12,-1],[2,1,11,-2,10,
-1,11,1],[13,1,14,1],[9,1,15,-1,9,1,15,1,9,1,15,1,9,1],[16,1,15,1],[17,2,16,
-1,15,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1],[1,1,2,3],[
7,2],[6,1,8,1],[1,1,2,1],[2,1,1,1],[2,1,11,1],[11,1,10,1,12,-1,11,-1,12,-1],[
2,1,11,-2,10,-1,11,1],[13,1,14,1],[9,1,15,-1,9,1,15,1,9,1,15,1,9,1],[15,1,16,
-1,15,-1,16,-2,15,1,16,1,15,1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,
7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[8,-1,5,-1],[8,2,5,-1,
8,-2],[10,1,9,-1,10,1,9,-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,
1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[8,-1,5,-1],[8,2,5,-1,8,-2],[
9,-1,10,1,9,-1,10,1]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,
-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,
1,8,1,4,-1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[4,2],[5,1,4,1,5,2]],[[1,1,2,
-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,
-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[9,2,8,1,4,1,8,1,9,1]],[[1,1,2,
-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,
-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,1,8,1],[4,2,8,1,4,1,8,1,9,2]]],[[[
1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[4,2],[5,1,4,1,5,2]],[[1,1,2,-1],[2,1,3,-1,
2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,
1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[9,2,8,1,4,1,8,1,9,1]],[[1,1,2,-1],[2,1,3,-1,
2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,
1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[4,1,8,1,9,1,8,1,9,1,8,1,4,1]],[[1,1,2,-1],[
2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,
1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,1,8,1],[4,2,8,1,4,1,8,1,9,2]]],[[[1,1,
2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,
5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[4,1,8,1,9,2,8,1,9,1]],[[1,1,
2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,
5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[4,1,8,1,9,1,8,1,9,2]]],[[[1,
1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[
8,1,5,2,8,1,5,1]],[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,
1],[6,1,7,1,6,1,7,1],[8,1,5,1,8,-1,5,-2,8,1]]],[[[1,1,2,1],[3,1,2,2,3,1,2,1,3,
1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[8,1,5,1,8,-1,5,-2,8,1]],[[
1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,
1],[5,1,8,1,5,-2,8,1,5,1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,1,10,-2,11,2,
10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[
2,1,7,2],[8,3],[6,1,9,1],[6,1,10,-1,9,1,6,1,9,-1,10,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[12,1,11,-2,12,2,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,11,-1,10,
1,7,1,10,-1,11,1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[
2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[8,-1,5,-1],[8,2,5,-1,8,-2],[10,-1,9,
-3,10,-1,9,-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,
1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[8,-1,5,-1],[9,2]]],[[[1,1,2,1],[1,1,2,-2,
3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[
8,-1,5,-1],[8,2,5,-1,8,-2],[9,1,10,1,9,-1,10,1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,
1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[8,-1,5,
-1],[9,-4]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,11,2,12,1,10,-1,11,-2,12,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,-2,10,1,7,1,10,-1,11,1]]],[[[1,1,
2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,
1,1,2,-2,6,1],[8,-1,5,-1],[8,2,5,-1,8,-2],[10,-1,9,-1,10,-1,9,-2]],[[1,1,2,
1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,
1,2,-2,6,1],[8,-1,5,-1],[9,-4]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,
1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,
1,7,1],[4,2],[4,1,8,1,9,1,8,1,9,1,8,1,4,1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,
-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,
1],[7,-1,1,1,7,1],[4,2],[4,1,8,1],[8,1,9,-1,10,-1,8,1,9,1,10,1]]],[[[1,1,2,
1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,
1,2,-2,6,1],[8,-1,5,-1],[8,2,5,-1,8,-2],[10,1,9,1,10,1,9,-2]],[[1,1,2,1],[1,1,
2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,
1],[8,-1,5,-1],[8,2,5,-1,8,-2],[10,-1,9,-1,10,1,9,-1,10,-1]]],[[[1,1,2,-1],[2,
1,3,-1,2,1,1,1,3,-1],[4,2],[5,1,4,1,5,2]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,
-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,
1],[7,-1,1,1,7,1],[8,1,4,-1,8,1,4,-1,8,1,4,3]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1,10,-1],[11,1,12,1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,1],[12,1,11,
1,12,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,7,1,11,-1,10,-1,11,-2]]],[[[1,1,2,
1],[2,1,1,1],[4,1,2,1,3,4,4,1],[5,4],[1,1,2,1],[2,1,1,1],[1,1,2,-2,7,-1,8,2,2,
1,8,1,7,1],[6,1,9,1,6,-1,9,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1],[5,4],[
1,1,2,1],[2,1,1,1],[1,1,2,-2,7,-1,8,2,2,1,8,1,7,1],[9,1,6,-1,9,-1,6,1,9,
1]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,
6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[9,1,8,1,4,-1,9,
-1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,
-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,1,8,1],[8,1,9,3,4,2,
8,1]]],[[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,
1,6,1,7,1],[8,1,5,1,8,-1,5,-2,8,1]],[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,
1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[8,1,5,-1,8,1,5,2,8,-1,5,-1]]],[[[1,1,
2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[7,3],[8,1,5,1,8,
-1,5,-1,8,1]],[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,1],[2,3,6,
2],[7,3],[8,2,5,-1,8,2,5,1]]],[[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,
1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[5,1,8,1,5,2,8,-1,5,1]],[[1,1,2,1],[3,1,2,
2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[5,2],[8,-1,9,
2,8,1,5,1]]],[[[1,1,2,-2],[3,2,2,-1,1,1,2,1,1,1],[4,6],[1,1,2,1],[2,1,1,1],[7,
1,6,-1,2,-1,6,-1,7,1,6,2,2,1],[5,1,8,-1,5,1,8,1,5,1]],[[1,1,2,-2],[3,2,2,-1,1,
1,2,1,1,1],[4,6],[1,1,2,1],[2,1,1,1],[7,1,6,-1,2,-1,6,-1,7,1,6,2,2,1],[8,1,5,
1],[9,1,8,2,9,-1,8,-1,5,1,8,-1]]],[[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,
-1],[1,1,2,1],[2,3,6,2],[7,3],[5,-1],[5,1,8,1,9,-1,8,1,5,1,8,-1,9,-1]],[[1,1,
2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[7,3],[5,-1],[8,1,
5,-1,8,1],[9,1,10,-1,9,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[11,2,7,
1,10,-1],[13,1,12,1,13,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[10,1,7,1,
11,-2],[13,1,12,-1,13,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,
11,-1,12,1,11,-1,12,1,10,-1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,
12,1,11,-1,12,1,11,-1,12,1,10,-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,11,
-1,10,-1,11,-1,10,-1,11,-2,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,2,
11,1,10,1,7,1,11,-1,10,-1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,
2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,1,11,1,10,
-1,11,1,10,-1,11,1,9,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,
3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,6,1,9,1,6,1,9,1,10,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[9,1,6,1],[10,2,9,-2,6,1,10,1,9,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[10,1,12,1,11,-1,12,1,11,-1,12,1,10,-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,
1,7,1,10,1,7,1,10,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,2,10,-2,7,1,11,1,10,
2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,-1,12,1,10,
-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-2,10,1,12,-1,11,1,12,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,11,2,12,-1,11,1,12,-1,10,-1,12,
-1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[
1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2,8,1,6,1,8,1,6,-1,8,1]],[[2,1,1,1],[1,1,2,2,3,
-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[
8,1,6,1,8,1],[9,1,6,2,9,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,
3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1,6,-1,8,1,6,-1,8,1,6,
2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,-2,10,1,7,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[7,1,10,-1],[12,1,11,1,7,1,10,-1,12,1,11,2]]],[[[1,1,2,1],[2,1,
1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,
1],[9,1,6,1],[9,1,11,1,10,-1,11,1,10,-2,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[6,1,9,1,10,
-1],[10,1,11,-1,10,1,11,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,9,-1],[11,1,10,1,6,1,9,-1,
11,1,10,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,1],[12,1,11,1,12,1,10,1,7,1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[10,1,7,1],[7,1,10,1,11,-1],[11,1,12,-1,11,1,12,-1]]],[[[1,1,2,1],[2,
1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,
1],[9,1,10,1],[11,1,10,1,11,1,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,
-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[6,1,9,1,10,-1],[10,1,
11,-1,10,1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1],[11,1,12,-1,11,
1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,1,11,2,10,-2,7,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,
7,1],[7,1,10,1,11,-1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[11,1,10,1,11,1,12,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,10,1,12,
-2,11,-1,10,-1,11,-1,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,
11,-1,12,1,11,-1,12,1,10,-1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,
-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,9,1,
11,-2,10,-1,9,-1,10,-1,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,1,11,1,10,-1,
11,1,10,-1,11,1,9,-1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,2,
10,2,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,10,-1],[12,1,11,2,12,1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[10,2,7,1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,2,
7,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,1],[9,2,6,1],[10,1,11,-1,10,1,11,-1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,
1,9,2,6,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,2,12,-1,11,1,12,1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,11,1],[12,1,11,1,12,1,11,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[7,1,10,-2,11,3]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,7,1,10,-1,7,1,11,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-1,11,1,12,-2,11,-1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[10,-1,11,2,10,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
11,1,10,1,11,1,12,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,7,1,10,-2,11,1]]],[[[1,1,
2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[6,1,9,1],[9,1,6,1],[11,1,10,-1,11,1,9,-1,6,1,10,-1,11,1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,
1],[9,1,10,-1,6,1,9,1],[10,1,11,1,10,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[12,1,11,-1,12,1,10,-1,7,1,11,-1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,1,11,
-1,7,1,10,1],[11,1,12,1,11,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,
11,1],[13,1,12,2,13,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,1,12,
-1,11,2,10,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,11,2,12,-1,7,1,
10,-1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,-1,11,-1,12,1,11,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,2,11,-2,10,-1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,-1,7,1,10,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,11,1,7,1,10,-1,7,
1,10,-1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-2,12,1,10,-1,11,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[10,1,9,1,10,1,6,1,9,-1,6,1,9,-1,10,1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,
1],[9,1,6,1],[11,1,10,-2,11,1,9,-1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,
2],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,2,10,2]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[11,2],[12,1,13,-1,12,1,13,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,
11,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,2,10,1,12,2,10,1,12,-1,11,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1],[11,1,12,1,11,1,12,1]]],[[[1,1,2,1],[2,
1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,
1],[9,1,6,1],[10,2,9,1,11,2,9,1,11,-1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,9,1],[10,1,
11,1,10,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[
1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[6,1,9,-2,11,-1,10,2,11,1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[6,1,9,1],[6,1,9,-1,10,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-2,
12,-1,11,2,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,2]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,-2,
7,1,10,-1,7,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,11,1]]],[[[1,1,2,1],[
2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,-2,
6,1,9,-1,6,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,
7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,9,1,10,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[
10,2,9,1,6,1,9,-1,10,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,9,1,6,1,10,-2,9,-1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[11,2,10,1,7,1,10,-1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,
10,1,7,1,11,-2,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,7,1,10,-1,11,-1,10,-1,
11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,-2,7,1,10,1,11,2]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[11,1,10,1],[11,1,12,1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,2,7,1,10,2,7,1,10,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[10,1,9,1],[10,1,11,1,10,1,11,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,2,6,1,9,
2,6,1,9,-1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,
1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[8,-1,5,1,8,1],[5,1,8,1,5,1],[9,-1],[10,1,
9,1,10,1],[11,1,12,1,11,-1,12,-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,
7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[8,-1,5,1,8,1],[5,1,8,
1,5,1],[9,1,10,2,9,1,10,1,9,-1,10,1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,
-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[5,-1,8,1],[8,3,
5,-1],[9,2],[9,1,10,1,11,-1,10,1,9,1,11,1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,
3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[5,-1,8,1],[8,
3,5,-1],[9,1,10,-2],[11,1,9,2,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,2,11,-1,7,1,
10,1,11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,1],[12,1,11,2,12,1]]],[[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,-1,11,1,12,2,11,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,
1,7,1],[10,1,11,2]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,
-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[8,1,6,1],[9,1,8,1,9,-1,6,1,8,
1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,
1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[9,1,6,1,9,1,8,1,9,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[
9,1,6,1],[6,1,9,-2,11,-1,10,2,11,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,
2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,2,9,1,6,1,9,-1,10,
-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[9,1,6,1],[9,2,10,-1,6,1,9,1,10,-1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[10,1,7,1],[10,2,11,2,12,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,7,1,10,-2,11,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-1,11,-1,7,1,10,1,7,1,11,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[10,1,7,1],[11,2,10,-1,7,1,10,1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,
1,7,1,10,-1,7,1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-2,7,1,10,-1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[
10,1,9,1,6,1,9,-1,6,1,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-2,6,1,9,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[12,1,11,-1,10,-1,11,2,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,
10,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,
2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,1,10,-1,9,-1,10,2,11,-1]],[[1,1,
2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[6,1,9,1],[10,1,9,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,11,-1,10,1,7,1,10,
1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,-2]]],[[[1,1,2,1],[2,1,1,1],[4,
1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,10,
-1,9,1,6,1,9,1,10,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,
7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,9,-1,10,-2]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[11,2,12,1,10,1,12,-1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,
11,-1],[11,1,12,-1,11,1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,4,10,1,7,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[11,1,7,1,10,-2,11,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,
3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,10,4,
9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,6,1,9,-2,10,2]]],[[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
10,1,7,1],[11,2,12,-1,11,1,7,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,2,
10,1,11,1,12,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,1,10,2,11,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[10,2,7,1,10,-2,7,1,10,2,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,
2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,2,6,1,9,-1,6,1,9,-2,6,1,9,1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[
8,3],[6,1,9,1],[9,1,10,1],[11,1,10,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,2,7,1,10,-1,7,1,
10,-2,7,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,1],[12,1,11,1,12,1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[10,2,7,1,10,-1,11,2,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,
7,1,10,-1,11,-1,10,-2]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,
1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1,6,-1,8,1,6,1,8,1]],[[
2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,
1,1,2,1,1,1],[7,6],[6,2],[6,1,8,1],[8,1,9,-1,10,-1,8,1,9,1,10,1]]],[[[2,1,1,
1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,
1,1,1],[7,6],[8,1,6,-2,8,1,6,1,8,1,6,-1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,
-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[8,1,6,1,8,
1,6,-3,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,2,10,1,11,1,12,2]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,-1,11,2,7,1,10,-1]]],[[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,
-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[7,3],[5,1,8,2],[9,1,5,1,9,-1]],[[1,1,2,1],[
2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[7,3],[5,-1],[9,1,8,1,5,
-1,8,-1,9,1,8,1,5,1,8,1]]],[[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,
1,2,1],[2,3,6,2],[7,3],[5,-1],[5,1,8,-1,9,-1,8,1,5,-1,8,-1,9,1]],[[1,1,2,1],[
2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[7,3],[5,-1],[9,1,8,1,5,
-1,8,-1,9,1,8,1,5,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,
12,2,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,7,1,10,-2,11,1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,11,1],[12,1,10,1,7,1,11,-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,
10,-2,7,1,10,-1,11,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,10,-1,
11,1,10,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-2,11,3]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[
9,1,6,1],[11,1,10,-1,9,-1,10,1,9,1,11,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,9,-2,10,
3]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[
1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[9,2,8,1,9,1,6,1]],[[2,1,1,1],[1,1,2,2,3,-1,
2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,
2],[6,1,8,1,9,1,6,1,8,1,9,1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,
1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1],[8,1,9,1,6,-2,
9,-1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[
1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[9,1,8,1,9,-1,8,1,6,1,9,1]]],[[[1,1,2,1],[2,
1,1,1],[4,1,2,1,3,4,4,1],[5,4],[1,1,2,1],[2,1,1,1],[1,1,2,-2,7,-1,8,2,2,1,8,1,
7,1],[6,1,9,1,6,-1,9,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1],[5,4],[1,1,2,
1],[2,1,1,1],[1,1,2,-2,7,-1,8,2,2,1,8,1,7,1],[9,1,6,-1,9,1,6,-1,9,-1]]],[[[1,
1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,
1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,1,8,1,4,-1]],[[1,1,2,-1],[2,1,
3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,
-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[4,-1,9,-1,8,1,4,1,9,1]],[[1,1,2,-1],[2,
1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,
2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[9,1,4,1,8,1,9,1,8,1,4,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[11,2],[12,1,13,-1,12,1,13,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,
7,1],[10,2,11,-1,7,1,10,1,11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,10,
-1],[11,1,12,1,11,1,12,1]]],[[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,
1,2,1],[2,3,6,2],[7,3],[8,1,5,1,8,-1,5,-1,8,-1]],[[1,1,2,1],[2,2],[3,1,4,1,1,
1,2,-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[7,3],[5,-1],[9,1,8,1,5,1,8,-1,5,-1,8,
-1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,3,2,2,1],[5,3]],[[1,
1,2,-2],[3,2,2,-1,1,1,2,1,1,1],[4,6],[1,1,2,1],[2,1,1,1],[7,1,6,-1,2,-1,6,-1,
7,1,6,2,2,1],[5,1,8,1],[9,1,5,1,8,-2,9,-2]]],[[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,
-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[7,3],[8,1,5,-1,8,1,5,-1,8,-1]],[[1,1,2,1],[
2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[7,3],[5,-1,8,-2,5,-1,8,
-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,2,2,1,4,1,3,1],[5,2]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,3,4,4,1],[5,4],[1,1,2,1],[2,1,1,1],[1,1,2,-2,7,-1,8,2,2,
1,8,1,7,1],[6,-1,9,2,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1],[5,4],[1,1,
2,1],[2,1,1,1],[1,1,2,-2,7,-1,8,2,2,1,8,1,7,1],[6,-1],[9,1,6,-1,9,-1],[10,1,
11,-1,10,1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,2,2,1,4,1,3,1],[5,
-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1],[5,4],[1,1,2,1],[2,1,1,1],[1,1,2,
-2,7,-1,8,2,2,1,8,1,7,1],[9,1,6,-1,9,-1,6,1,9,1]]],[[[1,1,2,-1],[2,1,3,-1,2,1,
1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,
-1,1,1],[7,-1,1,1,7,1],[8,1,4,-1,8,1,4,1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,
-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,
1],[7,-1,1,1,7,1],[4,2],[8,1,9,-1,8,1,9,1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,
-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,
1],[7,-1,1,1,7,1],[4,2],[9,2,8,1,4,1,8,1,9,1]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,
1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,
-1,1,1],[7,-1,1,1,7,1],[4,2],[8,1,9,-1,8,1,9,1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,
1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,
-1,1,1],[7,-1,1,1,7,1],[4,2],[4,1,8,1,9,1,8,1,9,1,8,1,4,1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,11,1],[10,1,7,1,11,-1,12,-1,7,1,10,-1,11,1,12,1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[7,1,10,-1,11,-2,10,1,7,1,10,-1,11,1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,
3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[8,1,6,2,
8,1,6,-3]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,
1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1],[8,1,6,-1,8,1,9,1,6,-2,9,-1]]],[[[2,
1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,
1,2,1,1,1],[7,6],[6,1,8,1,6,1,8,1,6,-1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[
1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1],[8,1,
6,-1,8,1,9,2,6,2]]],[[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,
1,2,1],[6,1,7,1,6,1,7,1],[8,-1,5,-2,8,1,5,1]],[[1,1,2,1],[3,1,2,2,3,1,2,1,3,
1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[5,2],[8,-1,9,1,8,1,9,
1]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,
6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[8,1,4,1,8,1],[9,1,4,
-2,9,1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,
1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[8,1,9,-1,8,1,
9,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,4,11,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,-1,7,1,10,1,7,1,10,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,
3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,11,4,10,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[6,1,9,-1,6,1,9,1,6,1,9,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,
1,7,1,10,-1,11,-1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,2,7,1,10,1,7,1,10,-2]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[11,1,10,1,7,1,10,-1,7,1,10,-1,11,1]],[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
10,1,7,1,10,-1,11,-2,10,-1,11,-1]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,
1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,
1,1,7,1],[4,1,8,1,4,-1,8,1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,
1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,
1],[4,1,8,1],[9,3,4,2]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,
2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[
4,1,8,1],[8,1,4,3,8,1,9,2]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,
1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,
1],[4,2],[4,1,8,1],[8,1,10,2,9,1,8,1,9,1]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,
-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,
1],[7,-1,1,1,7,1],[4,1,8,1,4,-1,8,1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,
1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,
-1,1,1,7,1],[4,2],[8,1,4,-1,8,1,9,-1,8,1,9,2]]],[[[1,1,2,1],[3,1,2,2,3,1,2,1,
3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[5,2,8,-1,5,1,8,-1]],[[1,
1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[
5,2],[9,2,8,1,9,1]]],[[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,
1,2,1],[6,1,7,1,6,1,7,1],[8,-1,5,-1,8,-1,5,1]],[[1,1,2,1],[3,1,2,2,3,1,2,1,3,
1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[5,2],[8,-1,9,1,8,-1,9,
-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[9,1,6,1],[6,1,9,-1],[10,1,9,2,11,3,6,1,9,1,10,1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,
1],[9,1,6,1,9,-1],[10,1,11,1,10,1,11,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,
4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[6,1,9,-1],[10,2,9,
-1,6,1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,11,-1,9,-1,
11,2,10,-1,11,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,
7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,1,9,1,10,3,6,1,11,1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[
8,3],[6,1,9,1],[9,1,6,1],[10,2],[11,1,12,-1,11,1,12,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,
7,1],[7,1,10,-1],[11,1,10,2,12,3,7,1,10,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1,10,-1],[11,1,12,1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-1],[11,2,10,
-1,7,1],[12,1,13,-1,12,1,13,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,
-1,10,-1,12,2,11,-1,12,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,1,
11,3,7,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,2],[12,1,13,-1,12,1,13,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-1],[10,2,11,1,12,1,13,-1,12,
1,11,-1,12,1,13,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-2,10,-1,7,
1,10,-1,12,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,11,-1,10,-2,7,1,10,-1,
11,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,10,1,12,-2,7,1,10,-1,11,1,
10,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-1],[13,1,12,-1,11,1,
12,-1,10,-1,12,1,10,1,12,-1,11,1,13,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
11,2,12,1,10,1,7,1,11,-1,10,-2,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,
1,10,-1,11,-2,12,1,10,1,12,1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-1],[10,2,
11,-1,12,1,7,1,10,1,11,-2,12,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,1,11,1,10,1,
11,-1,10,2,9,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,
1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,11,2,9,1,10,2]],[[1,1,2,1],[
2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,
6,1],[9,2,6,1,9,1,10,-2,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,
3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[9,1,10,-1,9,-1,6,1],[11,1,10,
1,11,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,1,12,-1,11,2,
10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,2,10,1,11,2]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
10,1,7,1],[10,2,7,1,10,1,11,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,1,11,-1,10,
-1,7,1],[12,1,11,1,12,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,
-1,11,1,12,2,11,-1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-2],[12,1,11,
1,12,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,2]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,-1],[11,1,7,1,10,1],[11,1,12,1,11,1,12,1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[11,1,10,1,11,1],[7,1,10,-1,12,-2,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,
1,7,1],[11,1,12,2,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,
1,12,-1,11,2,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,-1,7,1,11,1,10,-1]]],[[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[11,2,10,1],[12,1,13,-2,12,-1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[11,1,10,1],[11,1,12,1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,
11,-1,10,-1],[11,1,12,-1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,2,11,1,10,1,
11,-1,10,-1,7,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,11,1],[7,1,10,-1,
12,-2,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,2,7,1,10,1,11,-2,10,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[10,1,7,1],[11,1,10,-1,7,1,11,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
10,1,12,1,11,1,12,-1,11,2,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,
-1,10,-1,12,2,11,-1,12,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,2,7,1,10,1,11,-2,
10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,-1,12,1,10,
-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,1,12,-1,11,2,10,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,1,11,1,10,1,11,1,12,1,11,2,10,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[7,1,11,-1,10,1,7,1,10,1,11,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
10,2,11,2,12,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,1,11,3,7,1,12,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[10,1,7,1,10,2,7,1,10,-2,7,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,
1,7,1],[10,1,12,-1,11,-1,12,1,11,2,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
11,1,12,-1,10,-1,11,1,12,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,-1,
11,1,12,1,10,1,12,1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,-1,7,1,10,-1,11,2,10,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-1,11,1,10,1,12,-1,11,-1,12,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[10,1,7,1],[10,2],[12,1,11,2,10,-1,7,1,12,-1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[7,1,10,-1,11,1,10,1,11,1,10,1,7,1,10,-1,11,1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
-1],[11,1,7,1,10,-1,11,1,7,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,7,1,10,1,11,
-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,2,11,-1,12,1,11,-1,10,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,-1,11,-2,12,1,10,1,12,1,11,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,1,10,1,11,2]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[12,1,10,1,11,3,7,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,7,1,
10,1,7,1,11,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,
-1,12,1,10,-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,11,2],[12,1,13,
-2,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,2]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[7,1,10,-1],[12,2,11,3,7,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
10,1,7,1,11,-2,10,-1,7,1,10,-1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
12,1,10,1,11,3,7,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,2,10,-2,7,1,11,1,10,2]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[11,2,10,1,12,1,10,1,12,1,11,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,10,-2,11,1,10,1,11,1,12,-1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[11,1,10,1],[11,1,12,1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,
11,-1,10,-1],[11,1,12,-1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,
10,1,12,-1,11,2,10,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,
-1,12,1,11,-1,12,1,10,-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,2,11,-1],[11,
1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,1,11,3,7,1,
12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,2]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[11,2,10,1],[7,1,10,-1,12,-2,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
10,1,7,1],[12,1,10,1,11,3,7,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1],[
11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,
11,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,-1,10,-1,12,2,11,-1,12,1,
10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[11,2],[12,1,13,1,12,1,13,1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,-1,12,1,10,-1,12,-1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[10,1,7,1],[10,2,11,1,10,1,11,-1,10,-1,7,1,11,1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1,11,-2,10,-1,7,1,10,-1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,
7,1,10,1,11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,1,10,1,11,1,10,1,
7,1,10,-1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,2,11,-1,12,1,11,-1,10,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,2,10,2,11,1]]],[[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[7,1,10,-1,11,1,10,1,11,1,10,1,7,1,10,-1,11,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,
7,1],[11,1,7,1,10,1,11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,2,11,
-1,12,1,11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,2,10,-2,7,1,11,1,10,2]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,2,10,2,11,1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[10,1,7,1],[12,2,10,-1,11,-2,10,-1,11,-1,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
12,1,10,1,11,3,7,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,
12,1,11,-1,12,1,10,-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1],[7,1,10,-1,12,
-2,10,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,-1,10,-1,12,2,11,
-1,12,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,2,10,-2,7,1,11,1,10,2]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,-1,12,1,10,-1,12,-1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-1,11,1,10,1,12,-1,11,-1,12,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[11,2,10,1,12,1,10,1,12,1,11,-1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[11,2,10,1,7,1,10,-1,7,1,10,-1,11,1,10,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[
10,1,11,-1,10,-1,7,1],[12,1,11,1,12,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,
1],[7,1,10,-1,12,-2,11,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,1,
11,3,7,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,
2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,1,11,3,7,1,12,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,11,1,10,1,7,1,10,2,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,
1],[11,1,7,1,12,2,10,1,11,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-2,
10,-1,12,-2,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,7,1],[11,1,12,-1,11,1,12,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,2]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1],[9,1,6,1],[11,1,10,-1,9,-1,10,-1,9,1,11,-1,10,1,11,1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,
1],[6,1,9,-1],[11,1,10,1,9,1,6,1,9,-1,10,-2,11,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,
1],[9,2,10,2,11,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,10,-1,11,
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4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,1,11,1,10,1,7,
1,10,-1,11,-2,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,2,11,2,12,
2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[9,1,6,1],[6,1,9,1,10,-1,9,-1],[10,1,11,-1,10,1,11,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
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4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,9,1],[10,1,11,
1,10,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1,10,-1],[11,1,12,-1,11,
1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,-1,12,1,10,1,11,2]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[11,1,10,1],[11,1,12,1,11,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,
3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,
1],[10,2],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[6,1,9,-1,10,-2]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1],[9,1,6,1,9,-1],[10,1,11,1,10,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[11,2],[12,1,13,-1,12,1,13,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-1,11,
-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,10,-1],[11,1,12,1,11,1,12,1]]],[[[1,1,
2,-3,1,1,2,1,1,1],[3,6]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,
1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[9,1,6,1,8,1,9,1,8,1,6,
-1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,
1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,1,8,1],[9,1,8,1,9,1,10,-2,9,-1,10,-1]],[[2,
1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,
1,2,1,1,1],[7,6],[6,1,8,1],[8,1,6,-1,8,1,9,1,6,2,8,1,9,2]]],[[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[11,2,10,1],[12,1,13,-2,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,
10,1,11,-1,10,-1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,1,12,
-1,11,2,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,1,11,-1,10,-1,7,1],[12,1,11,1,12,
1,11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,9,1,11,-1,10,2,9,1,11,1]],[[1,1,
2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[6,1,9,1],[6,1,9,-1,10,1,6,1,10,-1,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[
10,1,6,1,11,2,9,1,10,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[
5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[6,1,9,1,10,-1,9,-1],[10,1,11,-1,10,
1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,10,1,12,-1,11,2,10,1,12,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,1,7,1,11,-1,10,1,7,1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,
11,-1,10,-1],[11,1,12,-1,11,1,12,1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,
1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[8,1,9,-1,8,
1,6,1,8,1,6,-1,9,-1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,
-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1],[6,2,8,1,6,1,9,-1,8,1,9,
2]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,
1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,1,8,1],[8,1,6,1,10,1,9,2,10,-1,8,1,10,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-1],[12,1,11,-2,10,-1,7,1,12,-1,11,1,10,
-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,2]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[12,1,11,-2,10,-1,7,1,10,-1,12,-2,10,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[11,2,12,1,10,1,7,1,11,-1,10,-2,12,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[7,1,10,-1],[11,1,12,-2,13,2,12,-2,11,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,12,1,10,-1,11,1,10,1,11,1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[10,1,7,1],[12,1,11,2,10,1,7,1,10,-1,11,1,10,1,11,1,12,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[10,2,11,1,12,-1,11,2,12,-1,7,1,10,-1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1],[9,1,6,1],[9,1,11,-1,10,1,11,2,10,-1,9,-1,10,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[
9,1,6,1],[11,1,10,-2,9,-1,11,-1,10,-1,9,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-1,6,1,9,1,6,1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[
8,3],[6,1,9,1],[9,1,6,1],[10,-1,9,1,11,-1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,
1,7,1],[10,1,12,-1,11,1,12,2,11,-1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[12,1,11,-2,10,-1,12,-1,11,-1,10,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,10,1,7,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,-1,10,1,12,-1,11,1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,-1,12,1,10,-1,12,-1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,-1],[11,1,7,1,10,-1,11,1,7,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,2,10,-2,
7,1,11,1,10,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-1,11,1,10,1,12,-1,
11,-1,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,11,1],[7,1,10,-1,12,-2,10,
1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,11,2,12,3]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[11,2,10,1],[12,1,13,-2,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[12,3,11,-2,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,10,1,11,1,
12,2,10,1,12,1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,
1,11,-1,12,1,10,-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-2],[12,1,11,1,12,1,
11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,-1,10,-1,12,2,11,-1,12,1,10,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,-1,10,-1,12,2,11,-1,12,1,10,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,1,7,1],[10,2,7,1,10,1,11,-2,10,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[11,2,10,1],[12,1,13,-2,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[10,1,12,1,11,1,12,-1,11,2,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
12,1,10,-1,11,-2,12,1,10,1,12,1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,
1,10,2,11,2,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,7,1,10,1,7,1,11,-2]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[11,1,10,1,12,-1,11,2,10,1,12,1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[10,1,12,1,11,-1,12,2,11,-1,12,1,10,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,-1,7,1,10,-1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,11,1,10,1,11,1,
7,1,10,-1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1],[11,1,12,-1,11,
1,12,-1]]],[[[1,1,2,-3,1,1,2,1,1,1],[3,6]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,
-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1],[
8,1,6,1],[9,1,10,-1,6,2,9,-1,10,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,
2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,1,8,1],[9,
2,8,1],[11,1,10,1,11,1,10,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,
1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,1,8,1],[9,1,8,1,9,
1,10,1,9,1,10,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,2,11,-1,12,1,11,-1,
10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,-1],[11,1,7,1,10,-1,11,1,7,1,10,1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
10,1,7,1],[11,1,7,1,10,1,11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,
1,12,2,10,2,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,
1,11,-1,12,1,10,-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,11,1,7,1,10,-1,
11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,10,-1,11,-1,12,1,10,2,11,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,12,1,10,-1,11,1,10,1,11,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[10,1,11,1],[12,1,11,1,12,1,11,1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[10,1,11,2,12,-2,7,1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[
10,1,11,-1,9,-1,11,2,10,-1,11,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,
-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,9,-1,10,2]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[9,1,6,1],[9,2,10,1,9,1,10,-1,9,-1,6,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,
1,7,1],[11,1,12,-1,10,-1,12,2,11,-1,12,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,
10,-1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,2,11,1,10,1,11,-1,10,-1,7,1,11,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,11,-1,9,-1,10,1,11,2]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,
1],[9,1,10,4,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,
7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,-1,9,1,11,-1,10,1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,-1,10,-1,11,1,12,2]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,11,4,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,-1,10,1,12,
-1,11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,11,1,9,1,11,1,10,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,-1,6,1,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,
7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,-1,9,1,11,-1,10,1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,1,10,1,12,1,11,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,-1,7,1,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,-1,10,1,12,-1,11,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,10,-1,11,-2,10,
1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,1,7,1,11,-3,12,-1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[11,2,10,1,7,1,10,1,11,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,
1,11,2,10,1,7,1,10,-2,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,2,11,
3,7,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-2,11,1,12,-1,11,1,12,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[9,1,10,3,9,1,6,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,6,1,
10,-1,9,2,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,
1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[9,1,10,-1,6,1,9,1,6,1,10,1]]],[[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[10,1,11,3,10,1,7,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,7,1,11,-1,
10,2,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,1,11,-1,7,1,10,1,7,1,11,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1],[10,1,9,1,10,1,9,1,6,1,9,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,
-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1,9,1,6,1,9,-1,6,1,9,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[9,1,6,1],[9,2,10,-1,6,1,9,1,10,-1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[11,1,10,1,11,1,10,1,7,1,10,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,1,7,1,10,-1,7,1,
10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,1,7,1],[10,2,11,-1,7,1,10,1,11,-1,10,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[10,1,7,1],[7,1,10,-1,11,-1,7,1,10,1,7,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,
2,10,1,7,1,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,1,11,-1,7,1,10,1,11,1,10,
-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[9,1,6,1],[6,1,9,-1,10,-1,6,1,9,1,6,1,10,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[
10,2,9,1,6,1,9,1,10,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[
5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[9,1,10,-1,6,1,9,1,10,1,9,-2]]],[[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,-1,12,1,10,-1,12,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,1,7,1,11,-3,12,-1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[10,1,7,1],[12,1,10,2,11,2,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,
1],[7,1,10,-1,11,1,12,3,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,
2,11,2,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,-1,12,
1,10,-1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,4,10,1,7,1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[11,1,12,1,10,1,12,1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,10,1,
7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[
2,1,7,2],[8,3],[6,1,9,1],[9,1,10,4,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,
11,1,9,1,11,1,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,
7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-1,6,1,9,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[10,1,7,1],[10,1,11,2,12,-1,11,1,12,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,2,7,1,
10,1,11,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,1],[7,1,10,-1,11,-1,12,-1,
11,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,-1,10,-1,11,1,12,
2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-2],[12,1,11,1,12,1,11,1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[11,-1,10,1,12,-1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
12,1,10,-1,11,-2,12,1,11,-1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,1,7,1,10,-1,
7,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,2,11,-1,7,1,10,1,11,-1,10,-1]]],[[[1,1,
2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[6,1,9,1],[9,1,6,1],[11,1,9,-1,10,-2,11,1,10,-1,9,-1,10,-1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,
1,9,1,6,1,9,-1,6,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[9,2,10,-1,6,1,9,1,10,-1,9,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,9,1,11,-2,6,1,9,-1,10,1,9,1,10,1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[6,1,9,1],[9,1,10,4,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1,10,-1,9,-2,6,1,9,
-1,10,1,9,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,
2,1],[2,1,7,2],[8,3],[6,1,9,-1],[10,1,6,1,9,1],[10,1,11,1,10,1,11,1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[10,1,7,1],[11,1,10,1,12,-2,7,1,10,-1,11,1,10,1,11,1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[10,1,11,4,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,11,-1,
10,-2,7,1,10,-1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1],[11,1,7,1,10,1],[11,1,12,1,
11,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,-1,11,1,12,2,11,-1,10,
-1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-2,10,-1,12,-1,11,-1,10,
-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,
4,10,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,-1,11,-1,12,1,10,
1,11,2,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,2,11,-1,7,1,10,1,11,-1,10,-1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[10,1,7,1,10,1,7,1,10,-1,7,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,
11,-1,10,-1],[11,1,12,-1,11,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,
1,11,2,12,1,10,2,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1],[11,1,7,1,10,1],[11,1,12,
1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,1,11,3,7,1,12,1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[7,1,10,-2],[12,1,11,1,12,1,11,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[11,1,10,1,12,-2,7,1,10,-1,11,1,10,1,11,1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[11,1,10,1,11,1,12,1,11,-1,12,1,10,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,
7,1],[11,1,10,2,11,-1,10,-1,7,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1],[11,1,7,1,10,
1],[11,1,12,1,11,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,1,11,2,10,1,
12,1,11,1,10,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,1,11,3,7,1,
12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,2,11,2,12,2]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[7,1,10,-1],[12,2,11,3,7,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,
-1],[12,2,11,1,10,1,7,1,11,-1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,7,1,
10,1,11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-1,11,1,10,1,12,
-1,11,-1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,1,7,1,10,-1,7,1,10,-1,11,2,
10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,2,11,-1,12,1,11,-1,10,-1]]],[[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,10,-1,11,2,12,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[11,2,10,1,7,1,10,-1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,
2,10,2,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,2,11,1,12,1,10,-1,11,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,12,1,10,1,12,-1,11,1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[7,1,10,-1],[12,1,11,1,10,1,12,1,11,2]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[
6,1,9,1,10,-1],[10,1,11,-1,10,1,11,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,
-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,-1,11,1,
10,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[
2,1,7,2],[8,3],[6,1,9,1],[6,1,10,-1,9,1,6,1,9,-1,10,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,
7,1],[7,1,10,1,11,-1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[11,-1,12,1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,11,-1,10,1,7,1,10,-1,11,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,3,11,-1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[10,1,7,1],[10,1,11,3,12,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-1,11,-1,
7,1,10,1,7,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,
7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,6,1,11,3,10,-1]],[[1,1,
2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[6,1,9,1],[9,1,6,1],[9,1,10,3,11,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,
-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[6,1,9,-1,10,-1,6,1,9,
1,6,1,10,1]]],[[[1,1,2,-3,1,1,2,1,1,1],[3,6]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,
-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,1,
8,1],[10,1,9,1,8,1,9,-1,10,-1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,
1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,1,8,1],[10,1,9,
-1,8,1,9,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,
1,11,-1,12,1,10,-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,1,7,1,11,-2,
10,-1,11,-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1],[7,1,10,-1,12,-2,10,1,7,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1],[11,1,12,-1,11,1,12,-1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,-2,7,1,10,2,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1],[11,1,12,1,
11,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,-1,10,-1,11,1,12,
2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[10,1,11,4,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,
10,-2],[12,1,11,1,12,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,
10,-1,11,-1,10,1,12,-1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1,7,1,10,1,7,1,10,
-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,1,11,1,10,1,11,1,12,1,11,2,10,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-1,11,-1,7,1,10,1,7,1,11,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[10,1,7,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1],[11,1,12,-1,11,
1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[9,1,6,1],[6,1,9,-1,10,-1,6,1,9,1,6,1,10,1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,
1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[
2,1,7,2],[8,3],[9,1,6,1],[6,1,9,1,10,-1],[10,1,11,-1,10,1,11,-1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
9,1,6,1],[6,1,9,-1,10,-1,6,1,9,1,6,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1,9,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1],[9,2,6,1],[10,1,11,-1,10,1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,
-1,11,-1,7,1,10,1,7,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,2,7,1],[11,1,12,-1,11,1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,1,
11,1,10,-1,11,1,10,-1,11,1,9,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,
-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[10,1,9,-1,6,1,10,1,9,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,1,11,1,10,1,11,-1,10,2,9,1]]],[[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,-1,12,1,10,-1,12,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[10,1,7,1],[11,1,10,-1,7,1,11,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
10,1,12,1,11,1,12,-1,11,2,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,2,11,
-1,12,1,11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,2],[12,1,13,-1,
12,1,13,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,7,1,10,1,11,-1,10,-1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1],[9,1,6,1],[11,2,10,-1,11,1,10,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[
10,2],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,
3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[10,1,6,1,9,1,10,-1,9,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,11,1,12,1,11,-1,12,1,10,-1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[11,1,10,1],[11,1,12,1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,
1],[7,1,10,1,11,2,10,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,-1,
11,-2,12,1,11,-1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,10,1,7,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[10,1,7,1],[10,2,11,-1,7,1,10,1,11,-1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,
1,7,1],[12,1,11,-1,10,-1,11,2,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,1,10,1,7,
1,11,-1,10,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,1,10,1,11,2]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,11,4,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1],[
11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,-1,10,1,12,-1,11,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,1,10,1,11,1,10,1,7,1,10,-1,11,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,11,1],[12,1,11,-1,13,-1,12,-1,13,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,1,7,1],[10,2,7,1,10,1,11,-2]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[10,1,7,1],[10,1,12,-1,11,1,12,2,11,-1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[10,1,7,1],[11,-1,10,1,12,-1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,10,1,7,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,1,11,3,7,1,12,1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[7,1,10,-1],[12,2,11,1,12,1,10,-1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,
1,7,1],[12,2,10,-1,11,-2,10,-1,11,-1,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[12,2,11,-1,10,1,12,1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,
-1,11,-1,12,1,11,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,-1,11,-2,10,
1,12,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-1,11,1,10,1,12,-1,11,-1,
12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,1,12,-1,11,2,10,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,2],[12,1,13,-1,12,1,13,-1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,-1],[11,1,10,-1,7,1,10,-2,7,1,11,-1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,
1],[7,1,10,1,11,-1,10,-1,11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,2],[11,1,12,
-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,
1,2,1],[2,1,7,2],[8,3],[6,1,9,-1],[10,1,9,-1,6,1,9,-2,6,1,10,-1]],[[1,1,2,1],[
2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,
6,1],[6,1,9,1,10,-1,9,-1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,2,
10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,-1],[11,1,10,-1,7,1,10,-2,7,1,11,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[12,1,11,-2,12,1,10,-1,11,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,2,7,1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,2,7,1,10,-2,
7,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1],[11,1,12,-1,11,1,12,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,10,1,11,1,12,2,10,1,12,1,11,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,-2,7,1,10,-2,7,1,10,-2]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,
1,10,-2],[12,1,11,1,12,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,
-2,7,1,10,-1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,2,7,1,10,1,11,-2]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[10,1,7,1],[11,2,10,1,12,1,10,1,12,1,11,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[11,1,12,-1,10,-1,12,2,11,-1,12,1,10,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,11,4,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,11,-1,10,-2,7,1,
10,-1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1],[11,1,7,1,10,1],[11,1,12,1,11,1,12,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,11,-1,9,-1,11,2,10,-1,11,1,9,-1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[6,1,9,1],[9,1,10,4,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1,10,-1,9,-2,6,1,9,
-1,10,1,9,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,
2,1],[2,1,7,2],[8,3],[6,1,9,-1],[10,1,6,1,9,1],[10,1,11,1,10,1,11,1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[10,1,7,1],[10,1,12,-1,11,1,12,2,11,-1,10,-1,11,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[12,1,11,-2,10,-1,12,-1,11,-1,10,-2]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
10,1,7,1],[10,2,7,1,10,1,11,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,4,10,1,
7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,10,-1,11,-1,12,1,10,-1,
11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,1,11,3,7,1,12,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,
1,7,1],[7,1,10,-1,11,3,12,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,2,
10,1,7,1,10,-1,11,1,10,1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,2,10,-2,7,1,
11,1,10,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,-1,12,1,
10,-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,12,1,10,-1,11,1,10,
1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,10,-1,11,
-2,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,10,-1,11,-1,12,1,
10,-1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,2]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,1,11,3,7,1,12,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[7,1,10,-1],[12,1,11,2,10,1,12,1,11,1,10,1,11,1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[10,2,11,2,7,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,10,
-1,11,-1,12,1,10,2,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,11,1,10,1,7,1,10,
2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[9,1,6,1],[9,2,6,1,9,1,10,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-1],[10,1,6,1,9,-1,
10,1,6,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,2,7,1,10,1,11,-2]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,-1],[11,1,7,1,10,-1,11,1,7,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,10,3,6,1,9,
-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[6,1,9,1],[10,2],[11,2,9,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,
3,7,1,10,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2],[12,2,10,1,7,1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[7,1,10,-1],[12,1,11,1,10,1,11,1,12,1,11,2,10,1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[10,2,11,2,7,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-2,7,1,10,-2,7,1,10,-2]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[11,2,10,1,7,1,10,1,11,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[6,1,9,
-1,10,3,11,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,
1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,2,9,1,6,1,9,1,10,2]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[7,1,10,-1,11,3,12,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,
1,10,1,11,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,10,-1,11,2,12,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,7,1,10,1,7,1,11,-2]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[12,1,10,2,11,2,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,1,
10,1,11,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,
2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,1,10,-1,9,-1,10,2,11,-1]],[[1,1,
2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[6,1,9,1],[10,1,6,1,9,1,6,1,10,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,
-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,1,9,2,
10,2,11,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,1],[10,2,9,1,6,1,9,1,10,2]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,-1,12,1,10,-1,12,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,-1],[11,1,7,1,10,-1,11,1,7,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,
2,11,1,10,1,7,1,11,-1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,1,10,
1,11,1,10,1,7,1,10,-1,11,1]]],[[[1,1,2,-3,1,1,2,1,1,1],[3,6]],[[2,1,1,1],[1,1,
2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[
7,6],[6,1,8,1],[8,1,6,1],[9,1,10,-1,6,2,9,-1,10,1]],[[2,1,1,1],[1,1,2,2,3,-1,
2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,
2],[6,1,8,1],[9,1,8,1,9,1,10,1,9,1,10,2]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,
-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,1,
8,1],[10,1,9,1,10,-1,8,1,9,1,8,1,6,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1,11,-2,10,-1,7,1,10,-1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,2,7,1,10,1,11,
-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,2,10,1,12,1,10,1,12,1,11,-1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1],[13,1,11,1,12,-1,11,1,13,-1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,1,11,3,7,1,12,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[12,1,11,-2,10,1,12,-1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[11,1,7,1,12,2,10,1,11,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,2,11,1,
12,-1,11,1,12,-1,10,-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1],[11,1,7,1,10,1],[11,1,
12,1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-2],[12,1,11,1,12,1,11,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,4,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,
2,11,-1,7,1,10,1,11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,1,7,1,10,-1,7,1,10,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,-1,10,1,12,-1,11,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1],[9,1,10,4,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[9,2,10,-1,6,1,9,1,10,-1,9,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[9,1,6,1,9,1,6,1,9,-1,6,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,-1,
9,1,11,-1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,10,1,11,1,12,2,10,
1,12,1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1],[11,1,7,1,10,1],[11,1,12,1,11,1,12,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,3,10,-1,11,-1]],[[1,1,2,1],[
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1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[10,1,12,1,11,-1,12,1,11,-1,12,1,10,-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1],[
11,1,7,1,10,1],[11,1,12,1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,
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4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-2],[12,1,11,1,12,1,
11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[
2,1,7,2],[8,3],[6,1,9,1],[9,1,10,4,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[9,2,10,-1,6,1,9,
1,10,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,
2,1],[2,1,7,2],[8,3],[6,1,9,-1,6,1,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1,9,1,6,1,9,-1,6,1,
9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,4,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[
10,2,11,-1,7,1,10,1,11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,10,1,7,1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[10,1,7,1,10,1,7,1,10,-1,7,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
7,1,10,-2,12,-1,11,2,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,2,11,-1,10,1,
12,1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1],[11,1,12,-1,11,1,12,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,1,7,1,10,2,7,1,10,-2,7,1,10,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1,11,-1,10,-2,7,1,10,-1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,
10,2,11,-1,10,-1,7,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1],[11,1,7,1,10,1],[11,1,12,
1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,12,1,10,-1,11,-1,
10,-1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,2,10,1],[12,1,13,-2,12,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,1],[10,1,7,1,12,1,11,2,12,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[7,1,10,-1],[12,1,11,1,10,1,12,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
7,1,10,-1],[12,1,11,2,12,1,11,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
10,1,11,3,12,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,7,1,10,1,7,1,11,-2]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[10,1,7,1],[7,1,10,-1,11,-1,7,1,10,1,7,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,
2,10,1,7,1,10,1,11,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[
5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,1,10,3,11,2]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1],[10,1,6,1,9,1,6,1,10,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[6,1,9,-1,10,-1,6,1,9,1,6,
1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[
2,1,7,2],[8,3],[6,1,9,1],[10,2,9,1,6,1,9,1,10,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,
1,7,1,11,-2,10,-1,7,1,10,-1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,2,7,1,10,1,
11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,1,10,1,11,1,10,1,7,1,10,-1,11,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1],[13,1,11,1,12,-1,11,1,13,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,1,11,3,7,1,12,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[10,1,11,1,12,2,10,-1,11,-2]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[10,1,7,1],[10,1,11,1],[12,1,13,-1,11,-1,13,1,12,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[
9,1,6,1],[11,1,10,-1,9,-1,10,2,11,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,
-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,2,9,1,6,1,9,-1,10,
-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[6,1,9,1],[6,1,9,-2],[11,1,10,1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-1],[10,
1,6,1,9,1],[10,1,11,1,10,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,
-1,10,-1,11,2,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,1,10,-1,11,-2]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[7,1,10,-2],[12,1,11,1,12,1,11,1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
-1],[11,1,7,1,10,1],[11,1,12,1,11,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,
-2,7,1,10,2,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,7,1,11,-2,10,-1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,-2,7,1,10,2,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1],[11,1,12,1,11,1,
12,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[
2,1,7,2],[8,3],[9,1,6,1],[10,1,9,-2,6,1,9,2,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,6,1,
10,-2,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,-2,6,1,9,2,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,9,1],[10,1,
11,1,10,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,10,-1,11,2,
12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,7,1,10,1,11,-1,10,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[7,1,10,-2],[12,1,11,1,12,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,
1,10,-1,11,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[
1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,1,10,-1,9,-1,10,2,11,-1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[
8,3],[9,1,6,1],[10,1,6,1,9,1,10,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,
4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,9,-2],[11,1,10,
1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,
2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,2,9,1,6,1,9,-1,10,-2]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[11,1,10,1,11,1,12,2,10,1,12,1,11,-1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[10,1,11,4,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,1,12,
-1,11,2,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,2,11,1,12,1,10,-1,11,
1]]],[[[1,1,2,-3,1,1,2,1,1,1],[3,6]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,
2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[9,2,8,1,9,-1,
8,1,6,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,
1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1],[8,1,6,1],[9,1,10,-1,6,2,9,-1,10,
1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,
1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,1,8,1],[10,1,9,1,10,-1,8,1,9,1,8,1,6,1,10,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,2,10,1,11,2]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
10,1,7,1],[11,1,10,-1,7,1,11,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,
1,12,-1,11,-1,12,1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,2,10,2,
11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,7,1,10,1,7,1,11,-2]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[7,1,10,-1,11,-1,10,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,1,10,
-1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,6,1,9,1,6,1,10,-2]],[[1,1,2,1],[2,1,1,1],[
4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,
9,-1,10,-1,9,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,
7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,2,9,1,6,1,9,-1,10,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[10,1,11,3,12,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,1,11,-1,
7,1,10,1,11,1,10,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,1,10,1,11,2]]],[[[
1,1,2,-3,1,1,2,1,1,1],[3,6]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,
1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[9,1,6,1,8,1,9,1,8,1,
6,-1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[
1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,1,8,1],[10,1,9,1,8,1,9,-1,10,-1]]],[[[1,
1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[6,1,9,1],[9,1,6,1,9,-1],[11,1,10,1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1,9,1,6,1,9,
-1,6,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,
2,1],[2,1,7,2],[8,3],[9,1,6,1],[9,2,10,-1,6,1,9,1,10,-1,9,-1]]],[[[1,1,2,1],[
2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,
9,1],[9,1,10,4,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[
5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,2,6,1],[10,1,11,-1,10,1,11,-1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[
8,3],[6,1,9,1],[9,1,6,1],[10,-1,9,1,11,-1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,
1,11,4,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,7,1],[11,1,12,-1,11,1,12,-1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[11,-1,10,1,12,-1,11,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,-1,12,1,10,-1,12,-1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[11,2,10,1,7,1,10,-1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,11,-1,
10,-2,7,1,10,-1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-2],[12,1,11,1,12,1,
11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[
2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,1,11,1,10,-1,11,1,10,-1,11,1,9,-1,11,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[6,1,9,1],[10,2,9,1,6,1,9,-1,10,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1,10,
-1,9,-2,6,1,9,-1,10,1,9,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,9,-2],[11,1,10,1,11,1,10,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,1,10,-1,7,1,10,-1,11,1,10,1,11,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,-1,12,1,10,-1,
12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,1,7,1],[10,1,11,-1,10,-1,7,1],[12,1,11,1,12,1,11,1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,-1,10,-1,12,2,11,-1,12,1,10,-1]]],[[[
1,1,2,-3,1,1,2,1,1,1],[3,6]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,
1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,1,8,1],[10,1,9,-1,
10,-1,8,1,6,-1,8,1,9,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,
1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,1,8,1],[9,1,8,1,9,1,
10,1,9,1,10,2]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[
4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,1,8,1],[10,1,9,1,10,-1,8,1,9,1,
8,1,6,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,-1,11,-2,12,1,11,
-1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,11,1,12,2,10,-1,11,
-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,2]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,-1,12,1,10,-1,12,-1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[7,1,10,-1],[12,1,11,1,10,1,11,1,12,1,11,2,10,1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
10,1,7,1],[11,1,10,2,11,-1,10,-1,7,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,
10,-1],[12,1,11,2,10,1,12,1,11,1,10,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,-1,7,
1,10,-1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,11,2],[12,1,13,-2,12,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,-1,12,1,10,
-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,2,10,1,11,2]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[11,2,10,1],[7,1,10,-1,12,-2,10,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[
4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,
6,1],[10,2,9,1,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,1,9,2,10,2,11,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,2,10,1,11,1,12,2]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[10,1,7,1],[12,1,10,2,11,2,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
10,1,12,-1,11,-1,12,1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1],[11,1,12,
-1,11,1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[
1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,1,11,-1,10,-1,11,1,10,-2]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[
8,3],[9,1,6,1],[6,1,9,1,10,-1],[10,1,11,-1,10,1,11,-1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[
9,1,6,1],[11,1,10,-2,9,1,11,-1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,
-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-1,6,1,9,2,6,1,9,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-2,10,1,12,-1,11,1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,-1,7,1,10,2,7,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,
-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,1,11,1,
10,-1,11,1,9,-1,10,-2,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,
3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,1,9,-1,10,-2,9,
1,10,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,10,
-1,11,-2,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,-1,11,-2,10,1,
11,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,10,1,12,-1,11,1,12,
-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,-2,7,1,10,1,11,2]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[7,1,10,-1,11,3,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1],[11,1,12,
-1,11,1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[
1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,6,1,9,1,6,1,10,-2]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1,
9,2,6,1,9,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,7,1,10,1,7,1,11,-2]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[10,1,7,1,10,2,7,1,10,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,1,11,-1,7,1,10,1],[
11,1,12,1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,4,10,1,7,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,2,7,1],[11,1,12,-1,11,1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,
1,10,1,11,1,7,1,10,-1,7,1,10,-2,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,-2,7,1,
10,2,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,-2,10,1,7,1,10,2,11,1]]],[[[
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1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-1,11,3,12,-2]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[10,1,7,1],[11,3,12,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,2,10,
1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,2,11,-1,10,1,12,1,11,-1]]],[[[
1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[
8,3],[6,1,9,1],[9,1,10,3,6,1,9,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,
2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,9,1,10,1,9,1,6,1,9,
2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,3,7,1,10,-2]],[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
11,1,10,1,11,1,10,1,7,1,10,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,3,
11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,-2,7,1,10,-1,7,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[10,1,12,1,11,1,12,-1,11,2,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,7,1],[11,
1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,-1,10,1,12,-1,11,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[10,1,7,1],[10,1,11,-1,7,1,10,1],[11,1,12,1,11,1,12,-1]]],[[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[11,2,10,1,7,1,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,2,7,
1,10,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,1],[10,2,9,1,6,1,9,1,10,2]],[[1,1,2,1],[2,1,1,1],[4,
1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1,9,2,6,1,
9,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,2,10,1,12,-1,11,1,12,-1,10,-1,
12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,11,1,7,1,10,-1,7,1,10,-1,11,2]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[11,2,10,1,7,1,10,-1,7,1,10,-1,11,1,10,1,11,1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[12,1,11,-2,10,1,12,-1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,
11,2,7,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1,10,-1,11,1]]],[[[1,1,
2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[6,1,9,1],[9,2,10,2,6,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[6,1,9,1,10,-1,9,-1,10,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1,10,-1,11,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,2,
7,1,10,2,7,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,
7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[6,1,9,1,10,-1,9,-1,10,1]],[[1,1,2,1],[
2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,2,
6,1,9,2,6,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,3,10,1,7,1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[10,1,7,1],[10,1,11,-2,7,1,10,-1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[10,1,12,-1,11,-1,12,2,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,4,10,1,7,
1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[
1,1,2,-3,1,1,2,1,1,1],[7,6],[8,1,6,-1,8,1,6,3]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,
3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[8,
1,6,-1,9,-1,8,1,9,1,8,1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,
-2,10,1,12,-1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-2,7,1,10,-2,7,1,10,-2]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1],[1,1,2,3],[7,2],[6,1,8,1],[1,1,
2,1],[2,1,1,1],[2,1,11,1],[11,1,10,1,12,-1,11,-1,12,-1],[2,1,11,-2,10,-1,11,
1],[13,1,14,1],[9,1,15,-1,9,1,15,1,9,1,15,1,9,1],[16,1,15,1],[17,2,16,-1,15,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1],[1,1,2,3],[7,2],[
6,1,8,1],[1,1,2,1],[2,1,1,1],[2,1,11,1],[11,1,10,1,12,-1,11,-1,12,-1],[2,1,11,
-2,10,-1,11,1],[13,1,14,1],[9,1,15,-1,9,1,15,1,9,1,15,1,9,1],[15,1,16,1],[16,
-2,15,1,17,2,15,-1]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,
-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,
1,8,1,4,-1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[4,2],[5,1,4,1,5,2]],[[1,1,2,
-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,
-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[9,2,8,1,4,1,8,1,9,1]],[[1,1,2,
-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,
-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[9,1,4,1,8,1,9,1,8,1,4,1]]],[[[
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-1,1,1,2,-2,6,1],[8,-1,5,-1],[8,2,5,-1,8,-2],[10,1,9,-1,10,1,9,1]],[[1,1,2,
1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,
1,2,-2,6,1],[8,-1,5,-1],[8,2,5,-1,8,-2],[9,1,10,1,9,-1,10,1]]],[[[1,1,2,1],[1,
1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,
6,1],[8,-1,5,-1],[8,2,5,-1,8,-2],[10,-1,9,-1,10,1,9,-1,10,-1]],[[1,1,2,1],[1,
1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,
6,1],[8,-1,5,-1],[9,2]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,
1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[8,-1,5,-1],[8,2,5,-1,8,-2],[10,
1,9,2,10,-1,9,-2]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,
1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[8,-1,5,-1],[8,2,5,-1,8,-2],[10,-1,9,
-1,10,1,9,-1,10,-1]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,
-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,
2],[4,-1,9,-1,8,1,4,1,9,1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,
1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,
1],[4,2],[9,1,4,1,9,1,8,1,9,1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,
1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,
1,7,1],[8,1,4,2,8,1,4,-2,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-1,11,-1,7,1,
10,1,7,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[10,2,7,1,10,-2,7,1,10,2,7,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,
7,1],[11,1,10,-2,7,1,10,2,11,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,
2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[10,1,9,-2,6,1,9,2,10,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[9,1,6,1],[10,1,9,2,10,-1,9,-1,6,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,
1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,2,9,
1,6,1,9,-1,10,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,-2,7,1,10,2,11,-1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[10,1,7,1],[11,1,10,2,11,-1,10,-1,7,1,10,-1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[11,2,10,1,7,1,10,-1,11,-2]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,
1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,
1,7,1],[4,2],[9,1,8,1,9,-1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,
1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,
1],[8,1,4,-1,8,1,4,-1,8,1,4,3]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,
7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[8,-1,5,-1],[8,2,5,-1,
8,-2],[10,-1,9,2,10,1,9,1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,
2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[8,-1,5,-1],[9,-4]],[[1,1,2,
1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,
1,2,-2,6,1],[8,-1,5,-1],[8,2,5,-1,8,-2],[10,1,9,1,10,1,9,2]]],[[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
10,1,7,1],[10,2,11,-1,7,1,10,1,11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,11,
-3,10,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,1],[9,2,10,3,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[
10,1,9,1,10,1,11,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,11,3,10,1,7,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[11,1,10,1,11,1,12,2]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,
1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,
-1,1,1],[7,-1,1,1,7,1],[4,1,8,1,4,-1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,
1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,
-1,1,1,7,1],[4,2,8,1,4,2,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,
3,-1,5,-1],[1,1,2,3],[7,2],[6,1,8,1],[1,1,2,1],[2,1,1,1],[2,1,11,1],[11,1,10,
1,12,-1,11,-1,12,-1],[2,1,11,-2,10,-1,11,1],[13,1,14,1],[9,1,15,-1,9,1,15,1],[
16,2],[17,-1,15,1,9,1,15,-1,17,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,
1,3,-1,5,-1],[1,1,2,3],[7,2],[6,1,8,1],[1,1,2,1],[2,1,1,1],[2,1,11,1],[11,1,
10,1,12,-1,11,-1,12,-1],[2,1,11,-2,10,-1,11,1],[13,1,14,1],[9,1,15,-1,9,1,15,
1],[15,1,9,1,15,-1],[16,1,17,1],[17,1,18,2,16,2,18,1]]],[[[1,1,2,-1],[2,1,3,
-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,
-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[4,1,8,1,9,2,8,1,9,1]],[[1,1,2,-1],[2,1,
3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,
-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[4,1,8,1,9,1,8,1,9,1,8,1,4,1]]],[[[1,1,
2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[5,
1,8,1,5,2]],[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,
1,7,1,6,1,7,1],[5,3,8,1,5,1,8,-1]]],[[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[
2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[8,1,5,-1,8,-1,5,-1,8,1]],[[1,1,2,
1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[8,1,
5,2,8,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,11,-1,12,2,10,-1,11,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,-1,11,2,12,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[10,1,11,2,12,2,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[12,2,11,-1,12,1,11,-1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,
-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,1,10,2,
11,2,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,2,10,-1,11,1,10,-1,9,-1]]],[[[1,1,
2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,
1,1,2,-2,6,1],[8,-1,5,-1],[8,2,5,-1,8,-2],[10,1,9,2,10,1,9,-1,10,-1]],[[1,1,2,
1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,
1,2,-2,6,1],[8,-1,5,-1],[9,2]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,
1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,
1,7,1],[4,2],[4,1,8,1,9,2,8,1,9,1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,
1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,
1,1,7,1],[4,2],[9,1,4,1,8,1,9,1,8,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,
-1,4,2,2,1,4,1,3,1],[5,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1],[5,4],[1,1,
2,1],[2,1,1,1],[1,1,2,-2,7,-1,8,2,2,1,8,1,7,1],[6,-1,9,-1,6,-1,9,1,6,1]]],[[[
1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[
8,3],[6,1,9,1],[9,1,6,1],[11,1,9,1,11,-1,10,1,11,2,10,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[
6,1,9,-1],[11,1,10,2,11,1,10,2,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,
1,10,1,12,-1,11,1,12,2,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,1,11,2,
12,1,11,2,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-2,11,-1,7,1,10,1,11,2]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[10,1,7,1],[10,2,7,1,10,1,11,-2]]],[[[1,1,2,1],[3,1,2,2,3,1,2,1,3,
1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[5,1,8,1,5,1,8,1]],[[1,1,2,
1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[8,1,
5,3]]],[[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,
1,6,1,7,1],[5,-2,8,1,5,-2]],[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[
2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[8,1,5,1,8,-1,5,-2,8,1]]],[[[1,1,2,1],[3,1,2,2,
3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[8,-1,5,1,8,-1,5,
-1,8,-1]],[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,
7,1,6,1,7,1],[8,1,5,-1,8,-1,5,-2]]],[[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[
2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[5,1,8,1,5,-1,8,-1]],[[1,1,2,1],[3,1,
2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[5,1,8,-1,5,
2,8,1,5,1]]],[[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[
6,1,7,1,6,1,7,1],[5,-1,8,1,5,1]],[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,
1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[8,-1,5,3,8,1,5,-1]]],[[[1,1,2,1],[3,1,2,
2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[5,-1,8,1]],[[
1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,
1],[5,1,8,-1,5,2,8,1,5,1]]],[[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,
1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[8,-1,5,-2,8,1,5,1]],[[1,1,2,1],[3,1,2,2,3,
1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[8,1,5,1,8,1,5,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,3,12,2]],[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
10,1,11,1],[12,2,11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,3,11,2]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1],[9,1,10,1],[11,2,10,1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,
-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[8,1,6,-1,9,-1,
8,1,9,1,8,1,6,-1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,
-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[8,1,6,-1,8,1,9,1,6,1,8,1,9,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,-1,12,1,10,
-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,10,1,11,1],[12,1,13,-1,12,
1,13,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,2],[12,1,13,-1,12,1,13,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,2,12,3,11,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,-1],[11,1,7,1,10,-1,11,1,7,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,
4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,2,11,
3,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,-1],[10,1,6,1,9,-1,10,1,6,1,9,1]]],[[[2,1,1,1],[1,1,
2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[
7,6],[6,2],[6,1,8,1],[9,1,8,1,10,2,9,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[
1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,1,8,
1],[9,1,6,1,10,-1,9,-1,10,-1,8,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,
2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,1,11,1,10,
-1,11,1,10,-1,11,1,9,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,
3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,9,1,10,1],[11,
1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,
7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,9,-1],[11,1,10,2,9,1,11,1,10,1,9,
1,10,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,1],[10,2,6,1,9,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,10,
-3,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,7,1,10,-2,11,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[7,1,11,-3,10,-1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,
3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1],[8,1,6,-1,9,-2,8,1,
6,-2]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[
1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1],[8,1,6,2,9,-1,8,1,6,1,9,1]]],[[[2,1,1,
1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,
1,1,1],[7,6],[6,2],[9,2,8,1,9,1,6,1,8,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,
-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,1,
8,1],[10,1,9,1,8,1,10,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,10,-3,9,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1],[9,1,10,1],[11,2,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,11,-3,10,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,1],[12,2,11,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[
6,1,9,1,10,-1],[10,1,11,-1,10,1,11,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,
-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-1,6,1,9,1,6,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
9,1,6,1],[9,1,10,-1,6,1,9,1,10,-1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,
11,-1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,10,1,7,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[10,1,7,1],[10,1,11,-1,7,1,10,1,11,-1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,
1,7,1],[11,1,10,1,11,1],[12,1,13,-1,12,1,13,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,
10,1,7,1,10,-1,7,1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,-1,11,
-1,10,1,11,1,12,-1]]],[[[1,1,2,-3,1,1,2,1,1,1],[3,6]],[[2,1,1,1],[1,1,2,2,3,
-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[
6,2],[6,1,8,1,9,1,6,1,8,1,9,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,
1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[8,1,6,1,8,1],[10,
1,9,1,10,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,7,1],[11,1,12,-1,11,1,12,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,7,1,10,-2,11,1]],[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[
7,1,10,1,11,-1],[11,1,12,-1,11,1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
11,2],[12,1,13,-1,12,1,13,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,1,10,1,7,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[10,1,11,1],[12,1,11,1,12,1,7,1,10,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[10,1,12,-1,11,1,12,-1,11,-2]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[7,1,10,-1,11,1,7,1,11,-1,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,
1,10,1,11,1,12,-2,11,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,11,-1,9,-1,11,2,
10,-1,11,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[
1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,9,-1],[10,2,9,1],[11,1,12,1,11,1,12,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,1,11,1,10,-1,11,1,10,-1,11,1,9,-1,11,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,-1,10,-1,12,2,11,-1,12,1,10,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[11,2,10,1],[12,1,13,1,12,1,13,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,-1,12,1,10,-1,
12,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,6,1,9,-2,10,1,9,1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[10,1,
9,-1,6,1,10,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,
7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,9,1],[10,1,11,1,10,1,11,1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[11,1,7,1,10,-2,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,
10,-1,7,1,11,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1],[11,1,12,1,11,1,12,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,1,10,-1,11,-1,10,-1,11,-1,10,1,7,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[10,1,11,1,7,1,10,-1,7,1,10,-1,11,2,10,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[10,1,7,1],[11,1,7,1,10,1,11,-1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,
-1],[12,1,10,-1,11,1,7,1,10,-1,12,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,
11,-1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-2,
12,-1,11,2,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-1,11,1,12,
-2,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,-1,11,2,10,1,7,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[7,1,10,-2],[12,1,11,1,12,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
11,2],[12,1,13,-1,12,1,13,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-2,11,3]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[10,1,7,1,10,-1],[11,1,12,1,11,1,12,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[
10,2,9,1,6,1,9,-1,10,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-1],[10,1,6,1,9,-1,10,1,6,1,9,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[9,1,6,1],[10,1,6,1,9,1,10,-1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,
10,1,7,1,10,-1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1],[11,1,7,1,10,-1,11,1,7,1,10,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[10,1,7,1],[11,1,7,1,10,1,11,-1,10,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[7,1,10,-2],[12,1,11,1,12,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,
-1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,7,1],[11,1,12,-1,11,
1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,-1,10,-1,12,2,11,-1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,11,1],[12,1,11,1,12,1,10,1,7,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,11,4,10,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,11,-3,10,-2]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[10,1,7,1],[7,1,10,1,11,-1],[11,1,12,-2]]],[[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
11,2,10,1,7,1,10,2,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,2,7,1,10,1,11,
2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,1,10,-2,11,2,10,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[
9,1,10,2,9,1,6,1,9,2]]],[[[1,1,2,-3,1,1,2,1,1,1],[3,6]],[[2,1,1,1],[1,1,2,2,3,
-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[
6,1,8,1],[8,1,6,-1,8,1,9,1,6,2,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,
1,11,-2,12,2,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,2,7,1,10,-2]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[
9,1,6,1],[11,1,10,-2,11,2,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,2,6,1,9,-2]]],[[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[10,1,7,1],[11,1,12,2,10,2,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,-2,7,1,10,
2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,10,-1,11,1,7,1,10,-2,11,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[11,1,7,1,10,-1,7,1,10,-1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[11,2,12,-1,11,1,7,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,
-2,11,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,7,1],[11,1,12,-1,11,1,12,-1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[11,1,10,1,7,1,11,-2,10,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,
2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,2,6,1],[10,
1,11,-1,10,1,11,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,
7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,9,1,6,1,10,-2,9,-1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1],[9,1,6,1],[11,2,10,-1,9,1,11,1,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-1,6,1,9,1,6,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,2,11,-1,10,1,12,1,11,-1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,-1,7,1,10,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-2],[12,1,11,
1,12,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,7,1,10,-1,11,-1,10,-2]]],[[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[11,2,10,1,7,1,10,-1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,
10,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,
2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,2,9,1,6,1,9,-1,10,-2]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[
10,1,9,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,7,1],[11,1,12,-1,11,1,12,-1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,2,11,2,7,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,
10,-1,11,3]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-2,7,1,10,2,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,
1],[9,1,10,3,11,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,
7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,9,-2],[11,1,10,1,11,1,10,1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,11,3,12,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,
10,-2],[12,1,11,1,12,1,11,1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,
1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[8,1,6,1],[9,2,6,1,8,
1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,
1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1],[9,2,6,2,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
10,1,7,1],[12,1,11,-2,10,1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,7,1],[11,
1,12,-1,11,1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,
7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,1,10,-2,9,1,10,1,11,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[6,1,9,1],[9,2,6,1],[10,1,11,-1,10,1,11,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[11,1,10,1,7,1,10,-1,11,-1,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,7,1,
10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,2,11,-2,12,1,10,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[11,1,7,1,11,-1,10,-1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,
1],[10,1,11,3,12,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,-1,11,2,10,1,7,1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[7,1,11,-2,10,2,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1,
10,-1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,11,1,10,1,7,1,10,-1,11,1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1,10,-1],[11,1,12,1,11,1,12,1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[11,1,10,1,7,1,10,-1,11,-1,10,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,
1,10,-1,11,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2],[12,2,10,1,7,1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[11,1,10,1],[11,1,12,1,11,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,2],[11,2,9,1,
6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[10,1,9,1],[10,1,11,1,10,1,11,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,2,7,1,10,-1,11,2,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,1],[12,1,11,
1,12,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,9,1,10,1,11,-2,10,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1],[10,1,6,1,9,-2,10,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,10,1,
11,1,12,-2,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,7,1,10,-2,11,2]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,2,11,3,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1],[
11,1,12,-1,11,1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,3,10,1,7,1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,1,10,1,12,-1,11,1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[11,2,12,1,10,1,12,-1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,1,11,
2,10,-2,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,
1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,10,1],[11,1,9,1,6,1,10,-1,11,-1]],[[1,1,
2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[9,-1,6,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,1],[12,1,10,1,7,1,11,
-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[10,-1,7,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,1,
10,-1,9,-1,10,1,9,1,11,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,9,-2,6,1,9,-1,10,-2]]],[[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,10,-1,11,1,10,1,12,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[7,1,10,-2,7,1,10,-1,11,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,
1],[7,1,10,-2,12,-1,11,2,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,-2,7,1,10,2,11,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-1,11,-1,7,1,10,1,7,1,11,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1],[9,1,6,1],[6,1,9,-2,11,-1,10,2,11,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,
2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[10,1,9,-2,6,1,
9,2,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[9,1,6,1],[6,1,9,-1,10,-1,6,1,9,1,6,1,10,1]]],[[[1,1,2,1],[
2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,
9,1],[9,1,6,1],[6,1,9,-2,11,-1,10,2,11,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,
9,1,10,1,11,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-2,12,-1,11,2,12,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,10,1,11,1,12,2]]],[[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[12,2,11,-1,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,7,
1,10,-1,7,1,11,-1]]],[[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,
1],[2,3,6,2],[7,3],[5,-1,8,2,5,-1,8,2]],[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,
-1,4,-1],[1,1,2,1],[2,3,6,2],[7,3],[8,2,5,-1,8,2,5,-1]],[[1,1,2,1],[2,2],[3,1,
4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[7,3],[5,1,8,2,5,-1,8,2,5,1]]],[[[
1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[7,3],[5,-1,8,
-2]],[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[7,3],[
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1],[5,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1],[5,4],[1,1,2,1],[2,1,1,1],[1,
1,2,-2,7,-1,8,2,2,1,8,1,7,1],[6,1,9,-2,6,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,
4,4,1],[5,4],[1,1,2,1],[2,1,1,1],[1,1,2,-2,7,-1,8,2,2,1,8,1,7,1],[6,-1,9,1,6,
-1,9,1,6,-1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1],[5,4],[1,1,2,1],[
2,1,1,1],[1,1,2,-2,7,-1,8,2,2,1,8,1,7,1],[6,-1,9,1,6,1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,1,3,4,4,1],[5,4],[1,1,2,1],[2,1,1,1],[1,1,2,-2,7,-1,8,2,2,1,8,1,7,
1],[9,1,6,-1,9,1,6,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,2,2,1,4,1,
3,1],[5,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1],[5,4],[1,1,2,1],[2,1,1,1],[
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1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,
5,-1,1,1],[7,-1,1,1,7,1],[4,2],[9,1,4,1,8,1,9,1,8,1,9,1]],[[1,1,2,-1],[2,1,3,
-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,
-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[4,1,8,1],[8,1,10,1,9,1,10,1,9,1,8,
1]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,
6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[8,1,9,-1,8,1,9,
1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,
-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[4,1,8,1],[10,1,9,
1,8,1,9,1,8,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,-1,11,1,12,
1,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1],[11,1,12,-1,11,1,12,
-1]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,
6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[8,1,9,-1,8,1,9,
1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,
-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[9,2,8,1,4,1,8,1,
9,1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,
6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[4,1,8,1,9,1,8,
1,9,1,8,1,4,1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,
-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[8,1,6,1],[9,1,8,1,6,-1,9,1,6,
2]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,
1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,1,8,1],[10,1,6,-1,9,-1,8,1,9,1,10,-1]]],[[[
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1,1,2,1,1,1],[7,6],[6,1,8,1],[9,1,6,-2,9,-2,8,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,
-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,
2],[6,1,8,1],[10,1,9,1,10,-1,8,1,9,-1]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,
-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,
1],[7,-1,1,1,7,1],[4,1,8,1,4,-1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,
1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,
1,7,1],[4,2],[8,1,9,-1,8,1,9,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1,9,-1],[10,1,11,1,
10,1,11,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,1,6,1,9,1,6,1,9,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1,10,-1],[11,1,12,1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1,7,1,10,1,7,1,10,
-2]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,
6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,1,8,1],[8,1,9,1,4,
2,9,1,4,1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,
-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[9,1,4,1,
8,1,4,1,8,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,10,-1],[12,1,11,1,12,
1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,7,1,10,-1,11,2,10,1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,4,1],[4,1,3,1,5,-1,4,-1,5,-1],[2,1,4,-2,3,-1,4,1],[6,1,7,1],[8,
-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1],[1,1,2,3],[7,2],[
6,1,8,1],[1,1,2,1],[2,1,1,1],[2,1,11,1],[11,1,10,1,12,-1,11,-1,12,-1],[2,1,11,
-2,10,-1,11,1],[13,1,14,1],[9,1,15,-1,9,1,15,1,9,1],[16,1,15,1],[15,1,16,1,17,
-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,1,11,1,10,-1,11,1,10,-1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-1,
6,1,9,1,6,1,9,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1],[11,1,12,1,11,1,12,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[10,-1,7,1,10,-1,11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,
3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,9,
1],[10,1,11,1,10,1,11,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,-1,6,1,9,-1,10,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,2,11,1,10,1,7,1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,10,
-1,11,-1,10,-1,11,-2]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,
-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,
1,8,1],[9,3,4,2]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,
1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[8,1,
4,-1,8,1,9,-1,8,1,9,2]]],[[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,
2,1,1,2,1],[6,1,7,1,6,1,7,1],[8,1,5,-1,8,-1,5,-1,8,1]],[[1,1,2,1],[3,1,2,2,3,
1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[8,1,5,-1,8,1,5,
-2]]],[[[1,1,2,-2],[3,2,2,-1,1,1,2,1,1,1],[4,6],[1,1,2,1],[2,1,1,1],[7,1,6,-1,
2,-1,6,-1,7,1,6,2,2,1],[5,1,8,-1,5,1,8,1,5,1]],[[1,1,2,-2],[3,2,2,-1,1,1,2,1,
1,1],[4,6],[1,1,2,1],[2,1,1,1],[7,1,6,-1,2,-1,6,-1,7,1,6,2,2,1],[5,1,8,1],[9,
2,8,1,5,1,8,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,11,-2,10,-1,7,1,10,-1,11,
1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,7,1,10,1,11,-1,10,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[7,1,10,-1,11,1,10,1,11,1,10,1,7,1,10,-1,11,1]],[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
10,1,7,1],[12,2,11,-1,12,1,11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,2,10,-2,7,
1,11,1,10,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,2,10,2,11,1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,-1,12,1,10,-1,12,-1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[7,1,10,-1],[11,2],[12,1,13,1,12,1,13,1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
12,1,10,1,11,3,7,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,2,11,1,10,1,11,-1,10,-1,7,
1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,2,10,1],[12,1,13,-2,12,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,-1,7,1,11,1,10,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
10,1,12,1,11,1,12,-1,11,2,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,1,11,-1,10,-1,7,
1],[12,1,11,1,12,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,
12,1,11,-1,12,1,10,-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-1,11,
1,12,-1,11,1,12,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,2,10,-2,7,1,11,1,10,2]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[7,1,10,-1],[12,2,11,1,10,1,7,1,11,-1,10,-1,11,-1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1],[9,1,6,1],[9,1,11,1,10,-1,11,1,10,-1,11,1,9,-1,11,-1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,
1],[9,1,6,1],[6,1,9,-1,10,1,11,-1,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,
2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[10,2,9,-2,6,1,
10,1,9,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,9,-1],[11,2,10,1,9,1,6,1,10,-1,9,-1,10,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,-1,12,1,10,
-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,10,1,12,-2,11,1,12,1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,2]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[12,1,10,1,11,3,7,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,
1],[10,1,12,-1,11,1,12,1,10,1,12,1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,-1,7,1,
10,-1,11,2,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,
2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[10,1,7,1],[10,2],[12,1,11,2,10,-1,7,1,12,-1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[10,1,7,1],[7,1,10,-1,11,1,10,1,12,-1,11,-1,12,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[10,1,11,1],[12,1,11,-1,13,-1,12,-1,13,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[11,1,12,2,10,2,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,
2,10,1,12,1,10,1,12,1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,
2,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,2,11,1,12,1,10,-1,11,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,12,1,10,1,12,-1,11,1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[7,1,10,-1],[12,1,11,1,10,1,12,1,11,2]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[11,1,10,1,11,1,12,2,10,1,12,1,11,-1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-2,
7,1,10,-2,7,1,10,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,
11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-2],[12,1,11,1,12,1,11,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[7,1,10,-2,12,-1,11,2,12,1]],[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
10,1,7,1],[11,2,10,1,11,1,12,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,-2,7,1,10,2,
11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,10,1,11,1,12,-2,11,-1]]],[[[1,
1,2,-3,1,1,2,1,1,1],[3,6]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,
3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[8,1,6,1],[8,1,9,-1,6,2,8,1,
6,-1,9,2]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,
1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,1,8,1],[9,1,8,1,9,1,10,-2,9,-1,10,
-1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,
1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[9,1,6,1,8,1,6,1,9,1,8,1,9,1,6,1,8,1]]],[[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,-1],[11,1,10,-1,7,1,10,-2,7,1,11,-1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,
1],[7,1,10,1,11,-1,10,-1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,-1,7,1,11,1,10,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,10,-1],[11,1,12,1,11,1,12,1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[10,1,7,1],[11,1,12,2,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1],[11,
1,10,-1,7,1,10,-2,7,1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,-1,7,1,11,1,10,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,10,-1],[11,1,12,1,11,1,12,1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-2,12,-1,11,2,12,1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[10,2,7,1,11,1,7,1,10,-2,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,-1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,2,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
10,1,7,1],[10,2,11,1,12,1,10,-1,11,-2,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,
1],[11,1,10,1,12,-2,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,2,
11,2,12,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,1,12,-1,11,1,7,1,
10,-1,11,1,10,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,-1,7,1,10,-1,11,2,10,1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,2,11,2,12,1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[7,1,10,-1],[12,1,11,2,10,1,12,1,11,1,10,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
10,2,11,2,7,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,1,12,1,11,
-1,10,1,12,-1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,1,11,2,10,1,12,
1,11,1,10,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,1,11,-2,7,1,10,-1,7,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,-1,7,1,10,-1,11,2,10,1]]],[[[1,1,2,-3,1,1,2,1,1,1],[3,6]],[[
2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,
1,1,2,1,1,1],[7,6],[6,2],[6,1,8,1],[10,1,9,1,8,1,9,-1,10,-1]],[[2,1,1,1],[1,1,
2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[
7,6],[6,1,8,1],[9,2,6,2,8,1,6,1,9,-1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,
1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,1,8,1],[
10,1,9,-1,10,-1,8,1,6,-1,8,1,9,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,
-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,1,8,1],[9,1,
8,1,9,1,10,1,9,1,10,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,
12,1,10,-1,11,-2,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,10,
-1,11,-1,12,1,10,-1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,2,11,2,
12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,2]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[12,1,10,1,11,3,7,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
10,1,7,1],[11,1,12,-1,10,-1,12,2,11,-1,12,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,
1,10,-1],[11,2],[12,1,13,1,12,1,13,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,
1,12,1,11,-1,12,1,11,-1,12,1,10,-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
11,2,10,1],[12,1,13,-2,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,2,11,1,10,1,11,-1,
10,-1,7,1,11,1]]],[[[1,1,2,-3,1,1,2,1,1,1],[3,6]],[[2,1,1,1],[1,1,2,2,3,-1,2,
-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,
2],[9,2,8,1,9,-1,8,1,6,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,
3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1],[8,1,6,1],[9,1,10,
-1,6,2,9,-1,10,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,
-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[9,1,8,1,9,-1,8,1,6,2,8,1,9,
-1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,
1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,1,8,1],[10,1,9,1,10,-1,8,1,9,1,8,1,6,1,10,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,4,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,
1,7,1],[11,1,12,1,10,1,12,1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,10,1,7,1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[11,-1,10,1,12,-1,11,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[
9,1,10,4,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[
1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,11,1,9,1,11,1,10,-1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[6,1,9,-1,6,1,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,-1,9,1,11,-1,10,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,11,3,12,2]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,
7,1],[10,1,11,-1,7,1,10,1,11,1,10,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,1,
10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-1,11,-1,7,1,10,1,7,1,11,1]]],[[[2,
1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,
1,2,1,1,1],[7,6],[8,1,6,-1,8,1,6,1,8,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[
1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1,6,2,8,
1,6,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,
1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,1,8,1],[9,1,6,1,10,-1,9,-1,10,-1,8,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,2,10,2,11,1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
10,1,7,1],[10,2,7,1,10,1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1],[11,1,7,1,10,-1,11,1,
7,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,1,11,3,7,1,12,1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,11,1,10,1,7,1,10,2,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,
1,7,1,10,1,7,1,11,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[
5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,9,-1],[11,1,10,2,9,1,11,1,10,1,
9,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[9,1,6,1],[9,1,10,-2,6,1,9,-1,6,1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,2,
10,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,1,11,2,10,1,12,1,11,1,10,1,11,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[10,1,7,1],[10,1,11,-2,7,1,10,-1,7,1]],[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
10,2,11,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,
2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,2,10,2,11,2]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-2,6,
1,9,-2,6,1,9,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[
1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[6,1,9,1,10,-1],[10,1,11,-1,10,1,11,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,2,11,2,12,2]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,-2,7,1,10,-2,7,1,10,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1],[11,1,12,
-1,11,1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,2,12,3,11,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,11,1],[12,1,11,1,12,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[11,1,12,3,11,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,2,11,3,10,-1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[
8,3],[6,1,9,1],[9,1,10,1],[11,1,10,1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[
10,1,11,3,10,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-2,12,-1,11,2,12,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[10,2,7,1,10,2,7,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,-1,7,1,10,1]]],[[[1,
1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[6,1,9,1],[9,1,6,1],[6,1,9,-2,11,-1,10,2,11,1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,2,6,1,9,2,6,1,9,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[9,-1,6,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,2,11,
3]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[10,1,11,2],[10,1,7,1,12,-2]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[10,1,7,1],[11,3,12,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,2],[12,1,
13,-1,12,1,13,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,11,1,10,1,7,1,10,2]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1,10,-1],[11,1,12,1,11,1,12,1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[12,1,10,1,11,3,7,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,11,
2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,2]]],[[[1,1,2,1],[
2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,
9,1],[9,1,6,1],[11,1,9,1,10,3,6,1,11,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,
4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,2,10,2]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1],[9,1,6,1],[10,1,6,1,11,2,9,1,10,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
11,4,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,2,11,-1,7,1,10,1,11,-1,10,-1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,-1,7,1,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,-1,
10,1,12,-1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,1,7,1,10,-1,7,1,10,-1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1],[9,1,10,4,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[9,2,10,-1,6,1,9,1,10,-1,9,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[6,1,9,-1,6,1,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,-1,9,1,11,-1,
10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[9,1,6,1,9,1,6,1,9,-1,6,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1,11,-2,10,-1,7,1,10,-1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,2,7,1,10,1,11,
-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,1,10,1,11,1,10,1,7,1,10,-1,11,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,2,10,1,12,1,10,1,12,1,11,-1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1],[13,1,11,1,12,-1,11,1,13,-1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[11,1,10,1,11,1],[7,1,10,-1,12,-2,10,1,7,1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,
1,7,1],[10,2,7,1,10,1,11,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,-1,7,1,11,
1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,1,12,-1,11,2,10,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,2,10,1,11,2]]],[[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[7,1,10,-1],[12,1,11,2,12,1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,
1],[11,1,12,1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1,10,-1],[11,1,
12,-1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,1,7,1,11,-1,10,1,7,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[11,1,7,1,10,1,7,1,11,-2]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[10,1,7,1],[11,1,12,-1,10,-1,12,2,11,-1,12,1,10,-1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[7,1,10,-1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,2,10,1],[12,1,13,
-2,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,10,-1,11,2,12,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,-2,7,1,10,-2,7,1,10,-2]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,
1,10,-2],[12,1,11,1,12,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,1,11,
2,10,1,12,1,11,1,10,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,
-1,10,1,12,-1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,2,11,2,12,
2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,10,-1,11,-2,10,
1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,3,12,2]],[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
10,1,11,2],[10,1,7,1,12,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,
3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,10,3,6,1,9,-2]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1],[10,2],[11,2,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,
3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,-1,6,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[10,1,11,3,7,1,10,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2],[12,2,10,1,7,1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[10,-1,7,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-2,7,1,10,-2,7,1,10,-2]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[11,2,10,1,7,1,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,7,1,10,
1,7,1,11,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,
1,2,1],[2,1,7,2],[8,3],[6,1,9,-2,6,1,9,-2,6,1,9,-2]],[[1,1,2,1],[2,1,1,1],[4,
1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,2,9,
1,6,1,9,1,10,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,
1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,6,1,9,1,6,1,10,-2]]],[[[1,1,2,1],[2,1,
1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,
1],[9,1,6,1],[9,1,11,1,10,-1,11,2,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,
4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1,9,2,6,1,9,-2,6,1,9,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,9,1,10,1,11,-2,10,-1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[10,1,12,1,11,-1,12,2,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,2,7,
1,10,-2,7,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,10,1,11,1,12,-2,11,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-2,11,1,7,1,10,-1,11,1,10,1,11,1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,2]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[12,1,10,1,11,3,7,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,
4,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1],[11,1,12,-1,11,1,12,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,10,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,
2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,10,4,9,1,
6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[9,1,6,1],[6,1,9,1,10,-1],[10,1,11,-1,10,1,11,-1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,
-1,6,1,9,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[
1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,9,1,10,1,11,-2,10,-1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[9,1,6,1,9,2,6,1,9,-2,6,1,9,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,2,6,1],[10,1,11,-1,10,1,
11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,10,1,11,1,12,-2,11,-1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[10,1,7,1,10,2,7,1,10,-2,7,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,7,
1],[11,1,12,-1,11,1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,2,11,2,12,
2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,7,1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,
1],[7,1,10,1,11,-1],[11,1,12,-1,11,1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,
2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,2,
10,2,11,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,9,1,6,1,9,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[6,1,
9,1,10,-1],[10,1,11,-1,10,1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,
-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,6,1,
11,3,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[9,1,6,1],[6,1,9,-1,10,-1,6,1,9,1,6,1,10,1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,
1],[9,1,6,1],[10,1,11,2,9,2,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,
7,1,12,3,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-1,11,-1,7,1,10,1,7,1,11,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,2,10,2,11,1]]],[[[2,1,1,1],[1,1,
2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[
7,6],[6,2],[9,1,8,1,9,-1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,
3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[8,1,6,1],[9,2,6,2]],[[2,1,1,
1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,
1,1,1],[7,6],[6,1,8,1,6,2,8,1,6,1]]],[[[1,1,2,-3,1,1,2,1,1,1],[3,6]],[[2,1,1,
1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,
1,1,1],[7,6],[6,2],[9,1,8,1,9,-1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,
-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,1,8,1,6,-1,9,
-1,8,1,6,-1,8,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,7,1],[11,1,12,-1,11,1,12,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,
1],[11,-1,10,1,12,-1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,2,7,1,10,1,11,-2,10,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[9,2,6,1],[10,1,11,-1,10,1,11,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-1,6,
1,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,-1,9,1,11,-1,10,1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,
1],[9,2,6,1,9,1,10,-2,9,-1]]],[[[1,1,2,-3,1,1,2,1,1,1],[3,6]],[[2,1,1,1],[1,1,
2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[
7,6],[6,1,8,1],[9,2,6,2,8,1,6,1,9,-1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,
1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1],[8,1,6,
1],[9,1,10,-1,6,2,9,-1,10,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,
1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,1,8,1],[9,2,8,1],[
11,1,10,1,11,1,10,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,
-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,1,8,1],[9,1,8,1,9,1,10,1,
9,1,10,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,-1,10,-1,12,2,11,-1,
12,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,2,10,-2,7,1,11,1,10,2]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[10,1,7,1],[11,1,12,-2,7,1,10,-1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[12,1,10,1,11,3,7,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,
2,10,1,11,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,
1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,2,9,1,6,1,9,1,10,2]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1,9,
2,6,1,9,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,6,1,9,1,6,1,10,-2]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[11,2,10,1,7,1,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,2,7,1,10,-2]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[11,1,7,1,10,1,7,1,11,-2]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,
-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[8,1,6,-1,
8,1,6,1,8,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,
1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[8,1,6,-2,8,1,6,1]],[[2,1,1,1],[1,1,2,2,3,
-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[
6,2],[8,1,9,1,8,1,6,-1,8,1,6,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,
1,11,-1,10,-1,11,-1,10,1,12,-1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,2,
11,2,12,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,1,11,2]]],[[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,11,1],[11,1,12,2,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,2],[11,1,
7,1,10,2,7,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,1],[12,1,11,1,12,1,11,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[9,1,10,1],[10,1,11,2,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,2],[10,1,6,1,
9,2,6,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,
2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,10,1],[11,1,10,1,11,1,10,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1],[9,1,10,1,9,1,6,1,9,2,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,
-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,9,1,6,1,9,-1,10,
-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[6,1,9,1],[6,1,9,-1,10,-1,9,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
11,1,10,1,7,1,10,2,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,7,1,10,-1,11,
-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,-1,10,1,11,1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[11,1,10,1],[11,1,12,1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,10,-1,7,1,
10,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,2,7,1,10,-2]]],[[[1,1,2,1],[2,1,1,1],[
4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,
9,1],[10,1,11,1,10,1,11,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-1,6,1,9,-1,6,1,9,2]],[[1,1,2,1],[
2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,
9,1],[9,1,10,2,6,1,9,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,1,11,-1,10,-1,11,2,
10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[
2,1,7,2],[8,3],[6,1,9,1],[9,1,10,4,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,-1,
9,1,11,-1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,-1,11,-1,12,2,
11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,4,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,
1,7,1],[11,-1,10,1,12,-1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-2],[12,1,11,
1,12,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,
1,7,1],[11,1,12,-1,10,-1,12,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,4,10,1,
7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-2],[12,1,11,1,12,1,11,1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,-1,7,1,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,2,11,-1,7,1,10,1,11,-1,10,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,-1,10,1,12,-1,11,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,10,1,12,-1,11,1,12,1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
10,1,7,1],[7,1,10,1,11,2,10,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,
2,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,2,11,1,12,-1,11,2,12,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,-1,10,-1,12,2,11,-1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[10,1,7,1],[10,1,11,3,12,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,
11,-1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-1,11,-1,7,1,10,
1,7,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,
2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,1,10,1,11,1,10,-1,11,1,9,-1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[6,1,9,1],[10,1,6,1,10,-2,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,
2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[6,1,9,1,10,2,9,1,6,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[6,1,9,1],[10,1,9,1],[10,1,11,1,10,1,11,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[10,1,11,1,12,1,11,-1,12,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,
1,7,1,11,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,2,10,1,7,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[11,1,10,1],[11,1,12,1,11,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-2,7,1,
10,-2,7,1,10,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,1],[12,1,11,1,12,1,11,1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[11,1,10,1,11,1,10,1,7,1,10,2]]],[[[1,1,2,1],[2,1,1,1],[4,
1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-2,6,1,9,
-2,6,1,9,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,
2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,10,1],[11,1,10,1,11,1,10,1]],[[1,1,2,1],[
2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,
9,1],[10,1,9,1,10,1,9,1,6,1,9,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,2,
11,1,10,1,7,1,11,-1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,1,
12,1,11,-1,10,1,12,-1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,
10,1,11,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,11,-1,12,
1,10,-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,1],[11,1,12,1,7,1,10,-1,11,
-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-1,12,-1,11,-1,10,1,11,1,
12,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[
2,1,7,2],[8,3],[6,1,9,1],[9,1,10,3,6,1,9,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,
2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,9,-1,10,
2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[6,1,9,1],[10,2],[11,2,9,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,
3,7,1,10,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,2]],[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
11,2],[12,2,10,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,11,3,12,
2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-1,
11,-1,7,1,10,1,7,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,1,10,3,11,2]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[6,1,9,1],[10,1,9,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[6,1,9,-1,10,-1,6,1,9,1,6,1,10,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,3,10,1,7,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[11,-1,10,1,12,-1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-1,11,
-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[6,1,9,-1,10,3,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[
10,-1,9,1,11,-1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,
7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[6,1,9,-1,10,-2]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,
7,1],[11,2,10,-2,7,1,11,1,10,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,3,
11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,-1],[11,1,7,1,10,-1,11,1,7,1,10,1]]],[[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[10,1,7,1],[12,1,11,1,12,-1,10,-1,7,1,10,-2,11,1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[10,1,11,1,12,2,10,-1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[7,1,10,-2,12,-1,11,1,10,1,11,1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,
7,1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,10,1,7,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[10,1,7,1],[7,1,10,1,11,-1],[11,1,12,-1,11,1,12,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[7,1,10,-1,11,3,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,-1,7,1,10,1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[10,1,7,1,10,-1],[11,1,12,1,11,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,
10,-1,11,1,7,1,11,-1,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,2,7,1,10,-2]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[11,1,7,1,10,1,7,1,11,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,9,-1,10,1,6,
1,10,-1,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[
1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1,9,2,6,1,9,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,6,1,9,
1,6,1,10,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,2,10,1,11,2]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,-1],[11,1,10,-1,7,1,10,-2,7,1,11,-1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[10,1,7,1],[12,1,11,-2,12,1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,
1],[10,1,12,-1,11,-1,12,1,11,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,
2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,1,11,-1,10,
-1,11,1,10,1,11,-1,9,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,
3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,-1,10,3,9,1]],[[1,1,2,1],[
2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,
9,1],[9,2,6,1],[10,1,11,-1,10,1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
10,1,12,-1,11,-1,12,1,11,1,12,-1,10,-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,
-1,11,3,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,7,1],[11,1,12,-1,11,1,12,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-1,12,-1,11,-1,12,1,10,2,11,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,10,-2,11,2,10,1,12,-1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[11,-1,10,1,12,-1,11,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[11,1,12,2,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,
2,11,-1,10,1,12,1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-2,12,1,
10,-1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,10,-1],[12,1,11,1,12,1,11,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,1,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
11,1,7,1,10,1,7,1,11,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,2,10,1,
11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,2,7,1,10,-1,7,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,
1],[11,2],[12,1,13,-1,12,1,13,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,
12,1,11,-1,12,1,11,-1,12,1,10,-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-2,11,
-1,7,1,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,-1,7,1,10,-1,11,2]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,10,-1,11,-2,10,1,7,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[7,1,10,-1],[12,2,11,1,12,1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[
7,1,10,1,11,-1,10,-1],[11,1,12,-1,11,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[11,1,12,-1,10,-1,12,2,11,-1,12,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,
11,1,7,1,10,-1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,2,11,-3,10,1,
7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,11,3,12,2]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,
7,1],[7,1,10,1,11,-1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-1,11,-1,7,1,10,1,7,1,11,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[11,1,12,2,10,2,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[10,1,11,3,12,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,10,-1],[11,1,12,1,11,
1,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,-1],[13,1,11,-1,13,1,11,
1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-2,12,2]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[11,2,10,1,7,1,10,-1,11,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,7,1,11,1,7,
1,10,-2,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[10,2,7,1],[11,1,12,-1,11,1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-2],[
12,1,11,1,12,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,1,10,1,7,1,11,-1,10,
-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,7,1,10,1,7,1,11,-2]]],[[[1,1,2,1],[2,1,1,
1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1],[1,1,2,3],[7,2],[6,1,8,1],[1,1,2,1],[2,1,
1,1],[2,1,11,1],[11,1,10,1,12,-1,11,-1,12,-1],[2,1,11,-2,10,-1,11,1],[13,1,14,
1],[9,1,15,-1,9,1,15,1,9,1,15,1,9,1],[16,1,15,1],[17,2,16,-1,15,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1],[1,1,2,3],[7,2],[6,1,8,1],[1,1,
2,1],[2,1,1,1],[2,1,11,1],[11,1,10,1,12,-1,11,-1,12,-1],[2,1,11,-2,10,-1,11,
1],[13,1,14,1],[9,1,15,-1,9,1,15,1,9,1,15,1,9,1],[16,-2],[17,1,15,1,16,-1,15,
-1,17,1,15,-1,16,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[
5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,1,10,-2,11,2,10,-1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[
8,3],[6,1,9,-2,6,1,9,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-2,12,2,
11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,-2,7,1,10,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
11,1,12,4,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,1,10,1,7,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[10,1,11,1,12,-1,11,-1,12,1,10,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[7,1,10,-2,11,3]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,1,10,1,11,-1,10,-1,
11,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,9,-2,10,3]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,
1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[8,-1,5,
-1],[8,2,5,-1,8,-2],[9,1,10,1,9,-1,10,1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,
-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[8,-1,5,-1],[9,
2]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,
6,1,7,-1,1,1,2,-2,6,1],[8,-1,5,-1],[8,2,5,-1,8,-2],[9,1,10,-1,9,1,10,-1]]],[[[
1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,
-1,1,1,2,-2,6,1],[8,-1,5,-1],[8,2,5,-1,8,-2],[10,1,9,-1,10,1,9,1]],[[1,1,2,
1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,
1,2,-2,6,1],[8,2,5,-1,8,-2],[9,1,8,-1,5,-1,9,1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,
1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[8,-1,5,
-1],[8,2,5,-1,8,-2],[10,-1,9,2,10,1,9,1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,
-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[8,-1,5,-1],[8,
2,5,-1,8,-2],[10,-1,9,1,10,-1,9,-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[
4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[8,-1,5,-1],[8,2,5,
-1,8,-2],[10,1,9,1,10,-1,9,1,10,1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[
4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[8,2,5,-1,8,-2],[9,1,
8,-1,5,-1,9,1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,
1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[8,-1,5,-1],[9,2]]],[[[1,1,2,-1],[2,1,3,-1,
2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,
1,5,-1,1,1],[7,-1,1,1,7,1],[4,1,8,1,4,-1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,
-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,
1],[7,-1,1,1,7,1],[4,2],[9,2,8,1,9,-2]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[
2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,
-1,1,1,7,1],[4,2],[9,1,4,1,8,1,9,1,8,1,4,1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,
1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[8,-1,5,
-1],[8,2,5,-1,8,-2],[10,-1,9,-1,10,1,9,-1,10,-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,
1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[5,1,8,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[9,1,6,1],[9,2,10,-1,6,1,9,1,10,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,-1,6,1,9,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[9,1,6,1],[10,1,9,2,10,-1,9,-1,6,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,
1],[10,2,11,-1,7,1,10,1,11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,-1,7,1,10,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[10,1,7,1],[11,1,10,2,11,-1,10,-1,7,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,
1,11,1],[12,1,11,2,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,-1,7,1,11,1]]],[[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,11,1],[12,1,10,1,7,1,12,1,11,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,
7,1],[7,1,10,-1,11,-2]]],[[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,
2,1,1,2,1],[6,1,7,1,6,1,7,1],[5,-1,8,1]],[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,
4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[8,1,5,-1,8,-1,5,-1]],[[1,1,2,
1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[5,
2],[9,1,8,1,9,-1]]],[[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,1],[
2,3,6,2],[7,3],[5,1,8,-1,5,1,8,2]],[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,
-1],[1,1,2,1],[2,3,6,2],[7,3],[8,1,5,1],[9,1,8,1,9,-1,5,1]]],[[[1,1,2,1],[2,1,
1,1],[4,1,3,-1,2,-1,3,-1,4,1,3,2,2,1],[5,3]],[[1,1,2,-2],[3,2,2,-1,1,1,2,1,1,
1],[4,6],[1,1,2,1],[2,1,1,1],[7,1,6,-1,2,-1,6,-1,7,1,6,2,2,1],[5,1,8,-1,5,1,8,
-1]]],[[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[7,
3],[8,2,5,1,8,-1,5,-1]],[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,
1],[2,3,6,2],[7,3],[8,1,5,1],[8,1,9,-1,5,-1,8,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[
4,1,3,-1,2,-1,3,-1,4,1,3,2,2,1],[5,3]],[[1,1,2,-2],[3,2,2,-1,1,1,2,1,1,1],[4,
6],[1,1,2,1],[2,1,1,1],[7,1,6,-1,2,-1,6,-1,7,1,6,2,2,1],[5,1,8,1],[8,1,9,1,8,
2,9,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,3,2,2,1],[5,3]],[[1,1,
2,-2],[3,2,2,-1,1,1,2,1,1,1],[4,6],[1,1,2,1],[2,1,1,1],[7,1,6,-1,2,-1,6,-1,7,
1,6,2,2,1],[5,1,8,1],[9,1,8,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,2,
2,1,4,1,3,1],[5,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1],[5,4],[1,1,2,1],[
2,1,1,1],[1,1,2,-2,7,-1,8,2,2,1,8,1,7,1],[6,1,9,1,6,1,9,-1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[10,1,7,1],[12,1,10,1,12,-1,11,1,12,2,11,-1]],[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[
11,1,10,-1,7,1],[12,1,11,1,12,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,
4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,1,9,1,
11,-1,10,1,11,2,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[
5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[10,1,9,-1,6,1],[11,1,10,1,11,1,10,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-2],[12,1,11,1,12,1,11,1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[10,1,7,1],[12,1,11,-2,10,1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,9,-2],[
11,1,10,1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,
7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,1,10,-2,9,1,11,-1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,10,1,12,-1,11,1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,1,10,-1,9,1,11,-1,10,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1,6,1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,
1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[5,-1],[8,1,5,1],[10,1,8,-1,9,-1,10,1,8,-1,
9,-1],[8,1],[11,-1,8,1,11,1,8,1,11,-1],[12,1,13,-1,12,1,13,-1]],[[1,1,2,1],[1,
1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,
6,1],[5,-1],[8,1,5,1],[10,1,8,-1,9,-1,10,1,8,-1,9,-1],[11,-1,8,1,11,1,8,1,11,
-1],[12,-2]]],[[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,
1],[6,1,7,1,6,1,7,1],[8,1,5,-2,8,-1,5,1]],[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,
4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[8,1,5,2,8,-1,5,-1]]],[[[2,1,1,
1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,
1,1,1],[7,6],[8,1,6,-1,8,1,6,1,8,1,6,2,8,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,
-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,1,
8,1],[9,1,10,-1,8,1,6,-1,9,-1,10,-1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[
1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1],[9,3,
6,-2]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[
1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[8,1,9,1,6,1,8,1,6,-1,9,-1]]],[[[2,1,1,1],[
1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,
1],[7,6],[6,1,8,1],[9,1,6,2,9,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,
-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[8,1,6,2,8,1,6,
-3]]],[[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,
1,6,1,7,1],[5,2,8,1,5,1,8,-1]],[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,
1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[8,-1,5,-2,8,1,5,1]]],[[[1,1,2,1],[3,1,2,2,
3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[8,1,5,1,8,-1,5,
-1]],[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,
6,1,7,1],[8,-1,5,-2,8,1,5,1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,
1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[8,1,6,2,8,1,6,-3]],[[2,
1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,
1,2,1,1,1],[7,6],[8,1,6,-2,8,1,6,1,8,1,6,-1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,
3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,
1],[6,3,9,-2,8,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,
-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1],[9,1,6,-3,8,1,9,1]]],[[[
1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,
1],[8,1,5,3]],[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[
6,1,7,1,6,1,7,1],[8,-1,5,-2,8,1,5,1]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[
2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,
-1,1,1,7,1],[4,1,8,1],[9,2,4,-2]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,
1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,
1,7,1],[4,2],[9,1,4,1,8,1,9,1,8,1]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,
1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,
-1,1,1,7,1],[4,2],[4,1,8,1,9,1,8,1,9,1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[
2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,
-1,1,1,7,1],[4,1,8,1],[9,2,4,3]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1,10,-1,9,-1,10,-1,
9,-1,10,-2,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,
7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,6,1,9,1,6,1,9,1,10,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1],[9,1,6,1],[11,1,9,1,10,3,6,1,11,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[10,2,9,-2,6,1,
10,1,9,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,11,-1,10,-1,11,-1,10,-1,11,-2,
10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,7,1,10,1,7,1,10,1,11,1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[10,1,7,1],[12,1,10,1,11,3,7,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,2,
10,-2,7,1,11,1,10,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,1,11,1,7,1,10,
-1,12,1,11,2,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,-1,11,-2,12,1,
11,-1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,12,1,10,-1,7,
1,11,-1,12,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,
1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,9,-1],[11,1,10,1,6,1,9,-1,11,1,10,2,9,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,1,9,-1,10,-2,11,1,10,-1,9,-1,10,-1]],[[1,1,
2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[6,1,9,1],[9,1,6,1],[11,1,10,-1,11,1,9,-1,6,1,10,-1,11,1]]],[[[1,1,2,1],[2,
1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,
1],[6,1,9,-2,10,1,9,1,10,1,6,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,
-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[6,1,9,1,10,-1],[10,1,
11,-1,10,1,11,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[
1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,2,6,1],[10,1,11,-1,10,1,11,-1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[7,1,10,-2,11,1,10,1,11,1,7,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[
7,1,10,1,11,-1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,7,1],[
11,1,12,-1,11,1,12,-1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,
1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1,6,2,8,1,6,1]],[[2,1,1,
1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,
1,1,1],[7,6],[6,2],[8,1,9,-1,8,1,6,-1,8,1,9,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,
3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,
1,8,1],[9,1,8,1,10,1,9,1,10,1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,
-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[8,1,6,-1,8,1,6,1]],[[
2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,
1,1,2,1,1,1],[7,6],[6,2],[9,1,8,1,9,-1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[
1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1],[6,3,
9,-2,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,1,10,-1,11,
-2,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,10,2,11,1,10,1,11,2]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[11,1,10,1,11,1,12,-1,11,2,10,1,12,-1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1],[9,1,6,1],[9,1,11,1,10,-1,11,1,9,-1,10,-2,9,1,6,1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,
1],[9,1,6,1,9,2,10,1,9,1,10,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,
3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,9,1,10,1,11,
-1,10,2,9,1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,
7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,1,10,1,11,-1,10,-1,11,1,9,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[6,1,9,2,6,1,9,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,
3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,2,11,-1,10,1,11,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,11,1,12,-1,11,-1,12,1,10,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,2,7,1,10,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
11,2,12,-1,11,1,12,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,1],[12,1,10,1,7,1,11,
-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,7,1,10,-2,11,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[
9,1,10,1],[11,1,9,1,6,1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,
-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,2,6,1,9,-2,10,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,1,11,2,10,1,12,1,11,1,10,1,11,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[10,1,11,1],[7,1,10,-1,11,1,12,1,10,1,7,1,12,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,1,10,-1,11,-1,10,-1,11,-1,10,1,7,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-2,10,-1,11,2,10,1,12,-1]]],[[[
2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,
1,1,2,1,1,1],[7,6],[8,1,6,-1,8,1,6,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,
1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1],[6,3,9,
-2,8,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,
1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,1,8,1,6,-1,9,-1,8,1,6,-1,8,1,9,
1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[
1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,1,8,1],[8,1,9,1,10,2,9,-1]],[[2,1,1,1],[
1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,
1],[7,6],[6,2],[6,1,8,1,9,1,8,1,6,-1,8,1,9,1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,
-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,
2],[9,1,8,1,6,-1,9,-1,8,1,6,1,8,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,
2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,1,8,1,6,-1,
9,-1,8,1,6,-1,8,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,1,9,1,10,3,6,1,11,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[6,1,9,1],[6,1,9,-1,10,-1,9,-1,10,-2,9,-2]],[[1,1,2,1],[2,1,1,1],[
4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,
6,1,9,-1],[10,1,11,1,10,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,11,2,7,1,10,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,7,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,
11,2,7,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,-2,7,1,10,2]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[11,2,12,3,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,
2,10,2,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,7,1,10,1,11,-1,10,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[10,1,7,1],[10,2,7,1,10,1,11,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,
11,3,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,7,1,10,-1,7,1,10,-1,11,1]]],[[[2,1,1,
1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,
1,1,1],[7,6],[6,1,8,1],[9,1,6,-1,8,1,6,-1,9,-1]],[[2,1,1,1],[1,1,2,2,3,-1,2,
-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,
8,1],[8,1,6,2,9,-1,8,1,6,1,9,1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,
-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[8,1,6,1,8,1,6,-1]],[[
2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,
1,1,2,1,1,1],[7,6],[6,2],[9,2,8,1,6,-1,8,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,
2,10,1,7,1,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,-1,10,1,12,-1,11,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[10,1,7,1,10,1,7,1,10,-1,7,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,4,1],[4,1,3,1,5,1,3,-1,5,-1],[1,1,2,3],[7,2],[6,1,8,1],[1,1,2,1],[2,1,1,1],[
2,1,11,1],[11,1,10,1,12,-1,11,-1,12,-1],[2,1,11,-2,10,-1,11,1],[13,1,14,1],[9,
1,15,-1,9,1,15,1,9,1],[15,1,16,1],[15,1,17,1,15,1,17,-1,16,1,15,1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1],[1,1,2,3],[7,2],[6,1,8,1],[1,1,
2,1],[2,1,1,1],[2,1,11,1],[11,1,10,1,12,-1,11,-1,12,-1],[2,1,11,-2,10,-1,11,
1],[13,1,14,1],[9,1,15,-1,9,1,15,1,9,1],[16,1,15,1],[15,1,16,1],[18,1,15,-2,
17,1,18,1,17,-1,18,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,11,-3,10,2,7,1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[10,1,7,1],[10,1,11,2,10,-2,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1,10,-3,9,
2,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[
2,1,7,2],[8,3],[9,1,6,1],[9,1,10,2,9,-2,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,
10,1,11,-1],[11,1,12,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,2,7,1,10,1,7,1,10,-1]]],[[[1,1,2,1],[
2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,
6,1],[6,1,9,1,10,-1],[10,1,11,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,2,6,1,9,1,6,1,9,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,11,1],[12,2,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,-2,7,1,10,
2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[9,1,10,1],[11,2,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,
2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1,9,-2,6,1,9,
2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[9,1,10,4,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,10,-1,9,2,6,
1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,4,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[7,1,11,-1,10,2,7,1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,7,1,10,-1,
7,1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,11,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,9,1,6,
1,9,-1,6,1,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[
1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,2,10,2]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,
-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[8,1,
6,-1,8,1,6,3]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,
1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,1,8,1],[10,1,9,1,8,1,10,1,9,
1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[
1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1],[8,1,9,2,6,3]],[[2,1,1,1],[1,1,2,2,3,-1,
2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,
1,8,1],[9,1,6,-2,8,1,9,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,6,1,11,3,10,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[9,-2,6,1,9,-1,6,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,
1,7,1,12,3,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,-2,7,1,10,-1,7,1,10,-1]]],[[[2,1,1,1],[1,1,
2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[
7,6],[6,1,8,1],[9,2,6,2,9,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,
1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1],[9,1,6,-2,8,1,9,
2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,1,11,1,10,-1,11,1,10,-1,9,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1],[9,1,6,1],[10,1,11,2,9,1,11,-1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[10,1,12,1,11,-1,12,1,11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
11,1,12,2,10,1,12,-1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,2,7,1,11,-1,10,1,
7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,1,10,1,7,1,10,-1,11,1]]],[[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[7,1,10,-1,11,1,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,1,10,
-1,11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,1,9,2,10,2,11,1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,
1],[10,1,9,1,6,1,9,-1,6,1,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,2,9,1,6,1,9,1,10,
2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,2,11,2,12,1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[11,1,10,1,7,1,10,-1,7,1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,
1,10,1,11,2]]],[[[1,1,2,-3,1,1,2,1,1,1],[3,6]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,
3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,
1,8,1,9,1,6,1,8,1,9,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,
2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[9,1,6,1,8,1,9,1,8,1,6,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,-2,7,1,10,2,11,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[11,1,10,1,7,1,10,-1,7,1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,-1,7,1,
11,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,7,1],[11,1,12,-1,11,1,12,-1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,10,1,11,1,12,2]],[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[
7,1,10,1,11,-1],[11,1,12,-1,11,1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,
11,-3,10,2,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,-1,10,-1,7,1,11,
-1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1],[11,1,12,-1,11,1,12,-1]]],[[[
1,1,2,-3,1,1,2,1,1,1],[3,6]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,
1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1],[9,1,6,-2,8,1,9,
1,6,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,
1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[8,1,6,1,8,1],[10,1,9,1,10,1,9,1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,2,10,2,11,1]],[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
7,1,11,-2,10,2,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,7,1,11,-2,10,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,1,10,1,11,2]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[11,2],[12,2,10,1,7,1]]],[[[1,1,2,-3,1,1,2,1,1,1],[3,6]],[[2,1,1,1],[1,
1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,
1],[7,6],[8,1,6,1],[6,1,8,1,9,-1,6,-2,9,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1,10,-1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,11,1,7,1,10,-1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
9,1,6,1],[9,1,10,4,9,-1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,9,1,6,1,9,-1,6,1,10,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,1,7,1],[10,1,11,4,10,-1,7,1]],[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
11,1,10,1,7,1,10,-1,7,1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-2],[12,1,11,
1,12,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,7,1,10,-2,11,2]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,11,4,10,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,11,-1,9,-1,10,2,
11,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[
2,1,7,2],[8,3],[6,1,9,1],[10,1,9,1,10,3,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,
1],[4,1,3,1,5,-1,4,-1,5,-1],[2,1,4,-2,3,-1,4,1],[6,1,7,1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1],[1,1,2,3],[7,2],[6,1,8,1],[1,1,2,1],[2,1,
1,1],[2,1,11,1],[11,1,10,1,12,-1,11,-1,12,-1],[2,1,11,-2,10,-1,11,1],[13,1,14,
1],[9,1,15,-1,9,1,15,1,9,1,15,1,9,1],[16,1,15,-1,16,-2,15,-1,16,-1]]],[[[1,1,
2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[6,1,9,1],[9,1,6,1],[10,1,11,-1,9,-1,10,2,11,-1]],[[1,1,2,1],[2,1,1,1],[4,
1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,
1],[9,1,11,-1,10,-1,11,2,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,
-1,10,-1,11,2,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,-1,11,-1,12,
2,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,2,10,1,7,1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,
2,7,1,10,1,7,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[
5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[6,1,9,1,10,-1],[10,1,11,-1,10,1,11,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[6,1,9,1],[10,2,9,2,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,
-1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,2,11,1]]],[[[1,1,
2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[9,1,6,1,9,-2,6,1,9,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,9,1,10,1]]],[[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
10,1,7,1,10,-2,7,1,10,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,11,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
9,1,6,1],[10,1,9,-2,6,1,9,2,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,
2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,-1,10,2,9,1,6,1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[10,1,7,1],[11,1,10,-2,7,1,10,2,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,
-1,11,2,10,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,
7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[9,2,10,-1,6,1,9,1,10,-1,9,-1]],[[1,1,
2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[6,1,9,1],[10,1,9,1,6,1,9,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,
-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-1,6,1,9,1,6,1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[10,1,7,1],[10,2,11,-1,7,1,10,1,11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,
1,10,1,7,1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,10,1,7,1]]],[[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[10,1,7,1],[11,2],[12,1,13,-1,12,1,13,-1]],[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,
-2,7,1,10,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,3,11,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[10,1,7,1],[11,1,7,1,10,1,11,-1,10,-1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,
-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[8,1,
9,-1,8,1,9,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,
1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1],[8,1,6,-1,8,1,9,1,6,2,9,
-1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[
1,1,2,-3,1,1,2,1,1,1],[7,6],[6,-1,8,1,6,3]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,
-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[8,1,6,1],[
6,1,8,1,9,-1,6,-2,9,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,1,9,1,10,3,6,1,11,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[6,1,9,1],[10,1,9,1,6,1,9,-1,6,1,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,
1],[10,1,9,1,10,1],[11,1,12,-1,11,1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,
1],[12,1,10,1,11,3,7,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,7,1,10,-1,7,1,
11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,10,1,11,1],[12,1,13,-1,12,1,13,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,-1,11,-1,12,1,11,-2]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[10,1,7,1,10,-1],[12,1,11,2,12,1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,
1],[11,1,10,-1,9,-1,10,2,11,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,9,-2,6,1,9,-1,10,
-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[9,1,6,1],[6,1,9,1,10,-1,9,-1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[12,1,11,-1,10,-1,11,2,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-2,7,1,10,
-1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1,10,-1,11,1]]],[[[1,1,2,1],[
2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,
9,1],[9,1,6,1],[10,1,11,2,9,2,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,
2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,9,-2,6,1,9,-1,10,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,2,10,2,11,1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[7,1,10,-2,7,1,10,-1,11,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,
2,12,-1,11,1,12,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,3,10,1,7,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,1,11,1,10,-1,11,1,10,-1,9,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1],[9,1,10,3,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,
12,1,11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,3,10,1]]],[[[1,1,2,1],[2,1,
1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,
1],[9,1,6,1],[11,1,10,-2,9,1,10,1,11,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,
4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,2,6,1],[10,1,11,
-1,10,1,11,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,
1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[6,1,9,1,10,-1],[10,1,11,-1,10,1,11,-1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-2,10,1,11,1,12,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,2,7,1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,
-1],[11,1,12,-1,11,1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,2,11,-1,
12,1,11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,7,1,10,-1,11,-1,10,
-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-2],[12,1,11,1,12,1,11,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1],[9,1,6,1],[9,1,10,3,11,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,
2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,-1,10,2,9,1,6,1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[6,1,9,1],[6,1,9,-2],[11,1,10,1,11,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[10,1,11,3,12,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,-1,11,2,10,1,7,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[7,1,10,-2],[12,1,11,1,12,1,11,1]]],[[[1,1,2,1],[2,2],[3,1,4,1,
1,1,2,-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[7,3],[5,-1,8,2,5,-1,8,2]],[[1,1,2,
1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[7,3],[5,-1,8,1,5,1,
8,-1,5,1,8,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1],[5,4],[1,1,2,1],[2,1,
1,1],[1,1,2,-2,7,-1,8,2,2,1,8,1,7,1],[9,1,6,-1,9,1,6,1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,1,3,4,4,1],[5,4],[1,1,2,1],[2,1,1,1],[1,1,2,-2,7,-1,8,2,2,1,8,1,7,
1],[9,1,6,1,9,1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1],[5,4],[1,1,2,
1],[2,1,1,1],[1,1,2,-2,7,-1,8,2,2,1,8,1,7,1],[6,-1,9,1,6,1]],[[1,1,2,1],[2,1,
1,1],[4,1,2,1,3,4,4,1],[5,4],[1,1,2,1],[2,1,1,1],[1,1,2,-2,7,-1,8,2,2,1,8,1,7,
1],[6,1,9,-1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1],[5,4],[1,1,2,1],[
2,1,1,1],[1,1,2,-2,7,-1,8,2,2,1,8,1,7,1],[6,-1,9,1,6,1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,1,3,4,4,1],[5,4],[1,1,2,1],[2,1,1,1],[1,1,2,-2,7,-1,8,2,2,1,8,1,7,
1],[6,1,9,1,6,-1,9,1]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,
-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,
2],[4,1,8,1,9,2,8,1,9,1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,
2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[
4,2],[9,1,4,1,8,1,9,1,8,1,4,1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,
1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,
1,7,1],[4,1,8,1],[8,1,4,2,9,-2,8,1]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,
1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,
-1,1,1,7,1],[4,2],[9,1,8,1,4,1,8,1,9,1,8,1,9,1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,
1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,
-1,1,1],[7,-1,1,1,7,1],[4,2],[4,1,8,1],[8,1,10,1,9,1,10,1,9,1,8,1]]],[[[1,1,2,
1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,
1,2,-2,6,1],[8,2,5,-1,8,-2],[9,1,8,-1,5,-1,9,1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,
1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[8,-1,5,
-1],[9,1,8,2,5,1,8,-2,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,2,12,-1,
11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[10,2],[11,1,10,1,7,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[11,4,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[10,2,7,1,10,1,7,1,10,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[10,2,11,2,12,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,-2,7,1,10,-1,7,1,10,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,2,10,2,11,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,-2,6,1,9,-1,6,1,9,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[6,1,9,-2,10,2,9,1,6,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,
1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,2,6,
1,10,-1,9,1,10,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-2,11,2,10,1,7,1,10,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,7,1,11,-1,10,1,11,2]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1,9,
2,6,1,9,-2,6,1,9,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,
7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,2,10,2,6,1,9,-1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,
1,7,1,10,2,7,1,10,-2,7,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,11,2,7,1,10,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,-2,7,1,10,-2,7,1,10,-2]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,
-1,7,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,
1,2,1],[2,1,7,2],[8,3],[6,1,9,-1,6,1,9,-1,6,1,9,2]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1,6,1,9,1,6,
1,9,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,10,-1,7,1,10,2]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1,
7,1,10,1,7,1,10,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,2,12,-2,11,-1,10,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,2,11,2,12,2]]],[[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1,10,-1,11,-1,10,-1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,-1,7,
1,11,1]]],[[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,
1,7,1,6,1,7,1],[8,-1,5,1]],[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[
2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[8,1,5,1,8,-1,5,-1]]],[[[1,1,2,1],[3,1,2,2,3,1,
2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[5,-1,8,-1,5,1]],[[1,
1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[
8,-1,5,-1,8,-1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,12,
1,11,-1,12,1,10,-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,10,
-1,11,-1,12,1,10,-1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,1,11,2,10,1,
12,1,11,1,10,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,1,11,3,7,1,
12,1]]],[[[1,1,2,-3,1,1,2,1,1,1],[3,6]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[
1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[9,2,8,1,
9,-1,8,1,6,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,
1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1],[9,2,6,2,8,1,6,1,9,-1]],[[2,1,1,
1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,
1,1,1],[7,6],[6,2],[6,1,8,1],[10,1,9,1,8,1,9,-1,10,-1]],[[2,1,1,1],[1,1,2,2,3,
-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[
6,2],[9,1,8,1,9,-1,8,1,6,2,8,1,9,-1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,
1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1],[8,1,6,
1],[9,1,10,-1,6,2,9,-1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,
11,-1,12,1,11,-1,12,1,10,-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,
-1,11,-2,12,1,11,-1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,2,
11,2,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,10,-1,11,-1,12,1,10,
-1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,1,11,3,7,1,12,1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[10,1,7,1],[7,1,10,-1,11,3,12,-2]]],[[[2,1,1,1],[1,1,2,2,3,-1,
2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,
2,8,1,6,-2,8,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[
4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[8,1,6,-1,8,1,9,1,8,1,9,1,6,1,8,
1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,
1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,1,8,1],[10,1,9,1,8,1,9,-1,10,-1,8,1]]],[[[
2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,
1,1,2,1,1,1],[7,6],[6,2],[9,1,8,1,9,-1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[
1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[8,1,6,1],[9,2,
6,2]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[
1,1,2,-3,1,1,2,1,1,1],[7,6],[8,1,6,2,8,1,6,-2,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
10,1,7,1],[11,1,12,2,10,2,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,2,7,1,10,1,11,
-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,-1],[11,1,7,1,10,-1,11,1,7,1,10,1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
10,-2,7,1,10,-1,7,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,11,2,9,2,10,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[9,1,6,1],[9,2,6,1,9,1,10,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,
4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-1],[10,1,6,1,9,-1,10,
1,6,1,9,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[9,-2,6,1,9,-1,6,1,9,-1]]],[[[1,1,2,-3,1,1,2,1,1,1],[3,
6]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,
1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[9,1,8,1,9,-1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,
3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,
1,8,1],[10,1,9,1,8,1,9,-1,10,-1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,
-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,1,8,1],[10,1,
9,-1,8,1,9,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,1,11,3,7,1,
12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
11,1,7,1,12,2,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,2,11,2,12,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[6,1,9,-1,10,3,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,10,2],[
9,1,6,1,11,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,
1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,3,11,2]],[[1,1,2,1],[2,1,1,1],[
4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,
9,-1],[11,2,10,3]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,3,10,1,7,1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,11,2],[10,1,7,1,12,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[11,3,12,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1],[12,2,11,3]]],[[[1,1,2,-3,
1,1,2,1,1,1],[3,6]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,
-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,1,8,1],[10,1,9,1,8,1,9,-1,
10,-1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,
1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[8,1,6,-1,8,1,9,2,8,1,9,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
9,1,6,1],[6,1,9,-1,10,-1,6,1,9,1,6,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,10,1,9,1,6,
1,9,2,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,6,1,9,1,6,1,10,-2]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[12,1,11,-1,10,-1,11,-1,12,1,10,-1,11,-2]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[11,2,10,1,12,1,10,1,12,1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,
2,11,1,7,1,10,-1,7,1,10,-1,11,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,
2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,1,10,-1,9,
-1,10,-1,11,1,9,-1,10,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,2,9,1,11,1,9,1,11,
1,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,1],[9,2,10,1,6,1,9,-1,6,1,9,-1,10,2]]],[[[1,1,2,1],[
2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,
9,1],[9,1,10,4,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[
5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[6,1,9,1,10,-1],[10,1,11,-1,10,1,11,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[6,1,9,-1,6,1,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[9,2,6,1,9,1,10,-2,9,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,4,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,
1,10,1,11,-1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,10,1,7,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[10,1,7,1],[10,2,7,1,10,1,11,-2,10,-1]]],[[[1,1,2,-3,1,1,2,1,1,
1],[3,6]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,
1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1],[6,2,9,2,6,1]],[[2,1,1,1],[1,1,2,2,
3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,
6],[6,2],[6,1,8,1],[10,1,9,1,8,1,9,-1,10,-1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,
-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[9,2,
8,1,9,-1,8,1,6,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[
5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[6,1,9,-2,11,-1,10,2,11,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[9,2,6,1,9,2,6,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,-1,6,1,9,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[
9,1,6,1],[10,1,9,1,10,1,11,-2,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,3,10,1,
7,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,1,10,-1,11,-2]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
10,1,7,1],[10,1,11,-1,7,1,10,1,7,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,10,3,9,1,6,
1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[
2,1,7,2],[8,3],[6,1,9,1],[10,2,9,1,6,1,9,-1,10,-2]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[9,1,10,
-1,6,1,9,1,6,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[
5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,10,3,6,1,9,-2]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,
1],[6,1,9,-1,10,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,
7],[1,1,2,1],[2,1,7,2],[8,3],[9,-1,6,1,9,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,2],[11,2,9,1,
6,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,3,7,1,10,-2]],[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
7,1,10,-1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[10,-1,7,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,
2],[12,2,10,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,3,10,1,7,1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[10,1,7,1],[7,1,10,1,11,-1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,2,7,1],[11,1,12,-1,11,1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
11,1,10,1,12,-1,11,1,12,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1,7,1,10,1,7,1,10,-2]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[10,-2,7,1,10,1,11,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-2,11,
-2,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-1,11,-2]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,
1],[10,1,11,2,10,-1,7,1,11,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,7,1,10,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-2],[12,1,11,1,12,1,11,1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,-1,7,1,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,2,11,-1,7,1,10,1,11,-1,10,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,4,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,
1,7,1],[11,-1,10,1,12,-1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,-1,10,
-1,11,-1,10,1,7,1,10,-1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,3,12,
2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[9,1,6,1],[6,1,9,1,10,-1,9,-1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,2,6,1,9,2,6,1,9,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[9,1,6,1],[10,1,9,-1,6,1,10,1,9,-1]]],[[[1,1,2,-3,1,1,2,1,1,1],[3,
6]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,
1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1],[9,3,6,-1,8,1]],[[2,1,1,1],[1,1,2,2,3,-1,
2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,
1,8,1],[8,1,6,-1,8,1,9,1,6,-3,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,3,
10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,1,
11,-2,7,1,10,-1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,4,10,1,7,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,2,7,1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,
10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,-1,10,1,12,-1,11,1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[7,1,10,-2,11,1,7,1,10,-1,11,1,10,1,11,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[7,1,10,-1,11,3,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,2,11,
-2,10,-2,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-2,10,1,12,-1,
11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,11,1,10,1,7,1,10,2]]],[[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[10,1,7,1],[12,1,10,2,11,2,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,2],[11,1,10,1,7,1,
11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,2,11,2,12,-2]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,11,1],[12,1,11,1,12,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,1,
9,2,10,2,11,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,
1,2,1],[2,1,7,2],[8,3],[9,2],[10,1,9,1,6,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[
9,2,10,2,11,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,
1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,10,1],[11,1,10,1,11,1,10,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,2,7,1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,
10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1],[11,1,12,-1,11,1,12,-1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[10,1,7,1],[10,2,7,1,10,1,11,-2,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,
1,7,1],[11,1,12,2,10,2,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,-2,7,1,10,2,11,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,-2,7,1,10,-1,7,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1],[11,
1,7,1,10,-1,11,1,7,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,9,1],[10,1,11,1,10,1,11,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[9,1,6,1,9,2,6,1,9,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,-1,6,1,9,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[11,1,10,1],[11,1,12,1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,2,7,1,10,
-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,-1,7,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,
2,11,-1,12,1,11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,-1,7,1,10,2]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[7,1,10,-2],[12,1,11,1,12,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,
2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,
2,10,-1,11,1,10,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1,9,-1,6,1,9,2]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[
6,1,9,-2],[11,1,10,1,11,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,
-1,10,-1,12,2,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,2,7,1,10,-2,7,1,10,1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[10,1,7,1],[11,1,10,1,11,1,12,-2,11,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,2,7,1],[11,1,12,-1,11,1,12,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
12,1,10,1,11,3,7,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,1,10,1,7,1,10,2,11,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[11,1,7,1,10,1,7,1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[
7,1,10,1,11,-1,10,-1],[11,1,12,-1,11,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[10,1,12,1,11,-1,12,2,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,2,7,1,10,-2,7,1,
10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,10,1,11,1,12,-2,11,-1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[10,1,7,1],[11,1,12,-1,10,-1,11,1,12,-2]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[7,1,10,-1],[12,1,11,2,10,1,12,1,11,1,10,1,11,1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[10,2,11,2,7,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,1,11,-1,
10,1,12,-1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,1,12,1,11,
-1,10,1,12,-1,11,1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,
1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[8,-1,5,-1],[8,2,5,-1,8,-2],[10,
1,9,2,10,-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,
1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[8,-1,5,-1],[9,2]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[10,1,7,1],[10,1,12,-1,11,1,12,-1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,-2,7,1,10,-1,7,1,
10,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[
2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,1,11,-1,10,1,11,-1,10,-2]],[[1,1,2,1],[
2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,-2,
6,1,9,-1,6,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,
7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1,10,-2,9,1,6,1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,
1],[6,1,10,-2,9,2,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,11,-2,10,1,7,1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[7,1,11,-2,10,2,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,-1,11,2,
10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,7,1,10,1,11,-1,10,-1]]],[[[1,1,2,1],[
2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,
9,1],[9,-1,10,2,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[10,1,6,1,9,1,10,-1,9,-1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[11,2,10,1,11,1,12,2]],[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
11,1,10,1,11,3,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,-1,11,2,7,1,10,-1]]],[[[1,
1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[9,1,6,1],[10,1,9,2,10,-1,9,-1,6,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-1,6,1,9,1,6,1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[
8,3],[9,1,6,1],[10,1,9,-1,6,1,10,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,2,
11,-1,10,-1,7,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,10,1,7,1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,
1,7,1],[11,1,10,-1,7,1,11,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,2,11,-1,7,1,
10,1,11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,2,11,-1,10,-1,7,1,10,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,1,10,-1,11,-2]]],[[[1,1,2,1],[2,1,
1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,
1],[9,2,10,-1,6,1,9,1,10,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[10,1,9,2,10,-1,9,-1,6,1,9,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[6,1,9,1],[10,2,9,1,6,1,9,-1,10,-2]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,
1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[8,2,5,
-1,8,-2],[9,1,5,1,8,1,9,1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,
2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[5,1,8,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[
9,1,6,1],[10,1,11,-1,9,-1,11,2,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,
-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[9,1,10,2,9,-2,6,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[9,1,6,1],[6,1,9,1,10,-1],[10,1,11,-1,10,1,11,-1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[10,1,7,1],[11,1,12,-1,10,-1,12,2,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,1,
11,2,10,-2,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1],[11,1,12,-1,11,1,12,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,11,3,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,
1,10,1,11,-1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,
1,10,1,11,1,12,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,
7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,2,10,3,9,1,6,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[
6,1,9,1,10,-1],[10,1,11,-1,10,1,11,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,
-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,9,1,
10,1,11,2]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,
1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[8,-1,5,-1],[8,2,5,-1,8,-2],[9,1,10,1,9,-1,
10,1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,
7,1,6,1,7,-1,1,1,2,-2,6,1],[8,2,5,-1,8,-2],[9,1,8,-1,5,-1,9,1]],[[1,1,2,1],[1,
1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,
6,1],[8,-1,5,-1],[9,2]]],[[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,
2,1],[2,3,6,2],[7,3],[5,1,8,-1,5,1,8,2]],[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,
-1,4,-1],[1,1,2,1],[2,3,6,2],[7,3],[5,1,8,-1,5,-1,8,-2,5,1]]],[[[1,1,2,1],[2,
2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[7,3],[8,2,5,1]],[[1,1,2,
1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[7,3],[5,-1],[5,1,8,
1,9,-1,8,1,5,1,8,-1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,
5,-1],[1,1,2,3],[7,2],[6,1,8,1],[1,1,2,1],[2,1,1,1],[2,1,11,1],[11,1,10,1,12,
-1,11,-1,12,-1],[2,1,11,-2,10,-1,11,1],[13,1,14,1],[9,1,15,-1,9,1,15,1],[15,1,
9,1,15,-1],[16,1,17,1,16,-2,17,1,16,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,
1,5,1,3,-1,5,-1],[1,1,2,3],[7,2],[6,1,8,1],[1,1,2,1],[2,1,1,1],[2,1,11,1],[11,
1,10,1,12,-1,11,-1,12,-1],[2,1,11,-2,10,-1,11,1],[13,1,14,1],[9,1,15,-1,9,1,
15,1],[15,1,9,1,15,-1],[16,2,17,1,16,-1,17,1,16,1]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-2,3,-1,4,2,2,1,4,1,3,1],[5,-2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1],[
5,4],[1,1,2,1],[2,1,1,1],[1,1,2,-2,7,-1,8,2,2,1,8,1,7,1],[6,1,9,1]]],[[[1,1,2,
1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,
1,2,-2,6,1],[5,-1,8,1],[8,3,5,-1],[9,-3,10,-2,9,1]],[[1,1,2,1],[1,1,2,-2,3,1,
2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[5,-1,
8,1],[8,3,5,-1],[9,1,10,1,9,-2,10,1,9,-1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,
3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[5,1,8,1,5,
1],[8,-1,5,1,8,1,9,1],[10,1,9,2,10,1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,
-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[8,-1,5,1,8,1],[
5,1,8,1,5,1],[10,1,9,1,10,-1,9,1,10,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,
4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,11,
2,9,2,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,6,1,9,-2,10,2,9,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[11,1,12,2,10,2,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,7,1,10,-2,
11,2,10,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,
2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1,9,-1],[11,1,10,1,11,1,10,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1],[10,1,6,1,9,-2,10,2,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,10,-1],[
12,1,11,1,12,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,7,1,10,-2,11,2,10,1]]],[[[
1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[
8,3],[6,1,9,1],[9,1,6,1,9,-1],[11,1,10,1,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,
1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,9,
1,10,1,6,1,9,-1,10,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,10,-1],[12,1,11,1,
12,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,11,1,7,1,10,-1,11,-2]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
9,1,6,1],[6,1,9,1,10,-1],[10,1,11,-1,10,1,11,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,9,-1,
10,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1],[11,1,12,-1,11,1,12,-1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[7,1,10,-1,11,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,4,
-1,1,1,2,-2,3,1],[5,1],[6,2]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,
1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[5,-1],[8,1,5,1],[10,1,8,-1,
9,-1,10,1,8,-1,9,-1],[11,-1,8,1,11,1,8,1,11,-1],[12,-2]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,1,2,2,3,2,2,1,4,1],[5,14],[1,1,2,-2,3,-1,4,1,2,1,4,-1,3,1],[7,5],[3,
1,2,2,4,-2,3,1,4,-1,2,-1],[9,4],[6,1,8,1,10,1],[11,4]],[[1,1,2,1],[2,1,1,1],[
3,1,4,2,3,-1,4,1,2,-1,4,-1],[5,4]]],[[[1,1,2,-3,1,1,2,1,1,1],[3,6]],[[2,1,1,
1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,
1,1,1],[7,6],[6,1,8,1],[6,2,9,-3]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,
-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[9,1,6,1,8,1,6,
-1,9,-1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,
5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1],[9,2,6,-2]],[[2,1,1,1],[1,1,2,2,3,
-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[
8,1,6,2,8,1,6,-3]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,
-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[8,1,6,-1,8,1,6,2,8,1]],[[2,1,1,
1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,
1,1,1],[7,6],[6,1,8,1],[9,1,6,2,9,-1,8,1]]],[[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,
-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[7,3],[8,-3,5,1]],[[1,1,2,1],[2,2],[3,1,4,1,
1,1,2,-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[7,3],[8,2,5,1,8,-2]]],[[[2,1,1,1],[1,
1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,
1],[7,6],[8,1,6,2,8,1,6,-1,8,1,6,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,
2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[8,1,6,1,8,
1],[9,1,10,1,9,1,10,1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,
1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[8,1,6,-1,8,1,6,1,8,1,6,-2]],[[
2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,
1,1,2,1,1,1],[7,6],[6,1,8,1],[9,3,6,-2,8,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,
2,-1,3,-1,4,1,3,2,2,1],[5,3]],[[1,1,2,-2],[3,2,2,-1,1,1,2,1,1,1],[4,6],[1,1,2,
1],[2,1,1,1],[7,1,6,-1,2,-1,6,-1,7,1,6,2,2,1],[5,1,8,-3,5,1]]],[[[1,1,2,1],[1,
1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,
6,1],[5,-1],[8,1,5,1],[10,1,8,-1,9,-1,10,1,8,-1,9,-1],[11,-1,8,-3],[11,1,8,-1,
11,1,8,2],[13,1,12,-1,13,1,12,-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,
7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[5,-1],[8,1,5,1],[10,1,
8,-1,9,-1,10,1,8,-1,9,-1],[11,1,8,-1,11,1,8,2],[12,-2]]],[[[1,1,2,-1],[2,1,3,
-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,
-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[8,1,9,-1,8,1,9,2]],[[1,1,2,-1],[2,1,3,
-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,
-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[4,1,8,1,9,2,8,1,9,1]]],[[[1,1,2,-1],[2,
1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,
2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,1,8,1,4,-1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,
1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,
-1,1,1],[7,-1,1,1,7,1],[4,2],[9,1,4,1,8,1,9,1,8,1]]],[[[1,1,2,-1],[2,1,3,-1,2,
1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,
5,-1,1,1],[7,-1,1,1,7,1],[4,2],[4,1,8,1,9,1,8,1,9,1]],[[1,1,2,-1],[2,1,3,-1,2,
1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,
5,-1,1,1],[7,-1,1,1,7,1],[4,1,8,1],[8,1,9,1,4,2,9,1,4,1]]],[[[1,1,2,-1],[2,1,
3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,
-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,1,8,1,4,-2,8,1,4,1]],[[1,1,2,-1],[2,1,3,-1,
2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,
1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[9,1,4,1,8,1,9,1,8,1]],[[1,1,2,-1],[2,1,3,-1,
2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,
1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[9,1,4,1,9,1,8,1,9,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[10,2,11,2,12,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,2],[11,1,10,1,7,1,11,1,7,1,
10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,3,7,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[
4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,
6,1],[9,2,10,2,11,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,
7],[1,1,2,1],[2,1,7,2],[8,3],[9,2],[10,1,9,1,6,1,10,1,6,1,9,1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,
1],[9,1,10,3,6,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,7,1,12,2,10,
-1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,1,10,1,7,1,11,-1,10,-2]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[12,1,10,2,11,2,12,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[12,1,11,-2,12,1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,3,10,
1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,-1,11,-1,12,1,11,-2]]],[[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,2,7,1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,-2,7,1,
10,-1,7,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1],[11,1,12,-1,11,1,12,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,10,-1],[12,1,11,-1,12,1,11,1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[10,1,7,1,11,-2,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-2,
11,-3,10,-1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,
1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[8,-1,5,1,8,1],[5,1,8,1,5,1],[9,1,10,1],[9,
-1,10,-1,11,-1,10,1,11,1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,
2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[8,-1,5,1,8,1],[5,1,8,1,5,1],[
9,1,10,-1,9,-1,10,-1,9,1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,
2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[8,-1,5,1,8,1],[5,1,8,1,5,1],[
9,1,10,1],[11,1,10,1,9,1,11,-1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
12,2,11,-1,12,1,11,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1,10,-1,11,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,12,2,10,2,11,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,
7,1],[7,1,10,-1,11,-1,7,1,10,1,7,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,10,1],[11,1,
9,1,6,1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,
7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,9,1],[10,1,11,1,10,1,11,1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[9,1,6,1],[6,1,9,-1,10,-1,6,1,9,2,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
11,1],[12,1,10,1,7,1,11,-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1],[11,1,
12,1,11,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-1,11,-1,7,1,10,2,11,-1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,11,1,12,-1,11,-1,12,1,10,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[11,1,7,1,10,-2,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[7,1,
11,-1,12,3,11,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,
7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,1,10,1,11,-1,10,-1,11,1,9,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[6,1,9,1],[10,1,6,1,9,-2,10,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[6,1,
10,-1,11,3,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,2,11,2,12,2]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[11,2,7,1,10,-1,11,2,10,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[
9,2,10,2,11,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,
1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,2,6,1,9,-1,10,2,9,1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[11,2,10,1,11,1,7,1,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,7,1,10,1,11,
-1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,-1,11,-1,12,1,11,
-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,1,10,1,7,1,10,-1,11,1]]],[[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[10,1,7,1],[11,1,12,3,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-2,7,1,10,2,7,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,11,3,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-2,6,1,9,2,6,
1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[
1,1,2,-3,1,1,2,1,1,1],[7,6],[8,1,6,1],[9,2,6,1,8,1]],[[2,1,1,1],[1,1,2,2,3,-1,
2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,
1,8,1],[9,1,6,1,8,1,6,1,9,-1]]],[[[1,1,2,-3,1,1,2,1,1,1],[3,6]],[[2,1,1,1],[1,
1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,
1],[7,6],[6,2],[9,1,8,1,9,-1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,
1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1,6,2,8,1,6,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,7,1,10,-1,11,-1,10,1,7,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,11,1],[12,2,11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,
4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,9,1,6,1,9,-1,
10,-1,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,
1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,10,1],[11,2,10,1]]],[[[2,1,1,1],[1,1,2,
2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,
6],[8,1,6,2,8,1,6,-2]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,
2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,3,8,1,6,-1,8,1,6,-1]]],[[[2,1,
1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,
2,1,1,1],[7,6],[6,1,8,1,6,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,
1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[8,1,9,-1,8,1,6,-1,8,
1,9,1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,
1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[8,1,6,-2,8,1,6,1]],[[2,1,1,1],[1,1,2,2,3,-1,
2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,
1,8,1],[9,2,6,-3]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,
-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1],[9,1,6,2,8,1,9,2]],[[2,1,
1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,
2,1,1,1],[7,6],[6,2],[8,1,6,-1,8,1,9,-1,8,1,9,1]]],[[[2,1,1,1],[1,1,2,2,3,-1,
2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[8,
1,6,3,8,1,6,-1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[
4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[8,1,9,-1,8,1,6,-1,8,1,9,1]]],[[[
2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,
1,1,2,1,1,1],[7,6],[8,1,6,-1,8,1,6,3]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,
1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[8,1,6,1],[6,2,9,
2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,1,11,-1,10,-1,11,1,10,-2]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,
1],[10,1,9,1],[10,1,11,1,10,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,
1,12,-1,11,-1,12,1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1],[11,1,12,1,11,1,
12,1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,
1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,-1,8,1,6,3]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,
3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[8,1,6,2,
8,1,6,-2,8,1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[
4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1,6,2,8,1,6,1]],[[2,1,1,1],[1,1,
2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[
7,6],[6,2],[6,1,8,1],[8,1,10,1,9,-1,8,1,9,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
10,1,7,1],[10,1,12,-1,11,1,12,-2,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1],[11,1,12,1,11,1,12,1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[10,1,11,1],[11,1,12,2,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,1],[
12,1,10,1,7,1,11,-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,7,1,10,-2,11,1,10,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[9,1,10,1],[11,1,9,1,6,1,10,-1,11,-1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,
1],[10,1,6,1,9,-2,10,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,2],[12,1,
13,-1,12,1,13,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,-2,7,1,10,2]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,
7,1],[7,1,10,-1,11,-1,7,1,10,1,7,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[10,2,7,1,
10,1,11,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,11,-2,10,1,7,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[11,1,7,1,10,-1,7,1,10,-1,11,1]]],[[[1,1,2,-3,1,1,2,1,1,1],[3,
6]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,
1,2,-3,1,1,2,1,1,1],[7,6],[6,-1,8,1,6,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,
-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,1,
8,1,6,-1,9,-1,8,1,6,-1,8,1,9,1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,
-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1],[9,1,6,-1,8,
1,6,-1,9,-1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,
1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1],[8,1,6,2,9,-1,8,1,6,1,9,1]],[[2,
1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,
1,2,1,1,1],[7,6],[6,2],[8,1,6,-1,8,1,9,2,8,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
10,1,7,1],[7,1,10,-1,12,-1,11,2,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,-2,7,1,
10,2,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[10,-1,7,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[6,1,9,
-1,11,-1,10,2,11,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,
7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[10,1,9,-2,6,1,9,2,10,-1]],[[1,1,2,1],[
2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,-1,
6,1,9,1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,
5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1,6,-1,8,1,6,1]],[[2,1,1,1],[1,1,2,2,
3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,
6],[6,2],[9,1,6,1,8,1,6,-1,8,1,6,-1,8,1,9,1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,
3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[8,1,6,2,
8,1,6,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,
1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[8,1,9,-1,8,1,6,1,8,1,9,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[10,1,7,1],[11,1,10,-1,7,1,11,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,11,
2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[9,1,6,1],[10,1,9,-1,6,1,10,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,2,10,
2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[6,1,9,-2],[11,1,10,1,11,1,10,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-1],[
10,1,6,1,9,-1,10,1,6,1,9,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[10,1,6,1,9,1,10,-1,9,-1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[7,1,10,-2],[12,1,11,1,12,1,11,1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
-1],[11,1,7,1,10,-1,11,1,7,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,7,1,10,1,11,
-1,10,-1]]],[[[1,1,2,-3,1,1,2,1,1,1],[3,6]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,
-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[9,1,
8,1,9,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,
1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1,6,3,8,1,6,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[11,1,10,1,7,1,11,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1],[11,2,10,-1,7,1,10,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[10,1,9,1,6,1,10,-2,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-1],[10,2,9,-1,
6,1,9,1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,
5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[9,1,6,1,8,1,9,1,8,1,6,-1]],[[2,1,1,
1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,
1,1,1],[7,6],[8,1,6,1],[6,1,8,1,9,-1,6,-2,9,1,8,1]]],[[[2,1,1,1],[1,1,2,2,3,
-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[
6,2],[9,1,6,1,9,1,8,1,9,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,
3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[8,1,9,-1,8,1,6,1,8,1,
9,-1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,
1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1,6,-3]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,
3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,
1,8,1],[8,1,9,-1,10,-1,8,1,10,1,9,1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[
1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2,8,1,6,-2,8,
1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,
1,2,-3,1,1,2,1,1,1],[7,6],[8,1,6,1],[6,1,8,1,9,-1,6,-2,9,1,8,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[11,1,12,2,10,2,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,
10,-2,7,1,10,2,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,11,3,12,
2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,11,2,9,2,10,1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[10,1,
9,-2,6,1,9,2,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,
7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,1,10,3,11,2]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[10,1,7,1],[7,1,10,1,11,-1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,
1],[10,1,7,1],[11,1,10,1,11,1,12,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,-1]]],[[[2,1,1,
1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,
1,1,1],[7,6],[6,2],[8,1,6,1,8,1],[9,1,10,-1,9,1,10,1]],[[2,1,1,1],[1,1,2,2,3,
-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[
6,2],[9,1,6,1,8,1,6,-1,9,-1,8,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,
4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1,9,2,6,1,9,-2,6,1,9,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,9,1,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[4,
1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[9,1,10,
1,9,-1,6,1,10,1,9,-1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,
1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[8,1,6,-2,8,1,6,1]],[[2,1,1,
1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,
1,1,1],[7,6],[6,3,8,1,6,-1,8,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,1,10,-1,9,-1,
10,2,11,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,9,1,6,1,10,-2,9,-1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,
6,1],[10,1,11,2,9,2,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,10,
-1,11,2,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,7,1,11,-2,10,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,1,7,1],[11,1,12,2,10,2,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
11,1,10,1,7,1,10,2,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,-2,7,1,10,-1,7,1]]],[[[1,1,2,1],[2,1,
1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,
1],[9,1,10,1,9,1,6,1,9,2,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,
3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,-2,6,1,9,-1,6,1]]],[[[1,1,2,1],[2,1,
1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,
1],[9,1,6,1],[10,1,9,1,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[10,1,9,-1,6,1,10,1,9,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,10,1,11,1,12,2]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
10,1,7,1],[11,1,10,-1,7,1,11,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,
4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,9,1,6,1,9,-1,
6,1,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[9,1,6,1],[6,1,9,-1,10,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,
10,1,7,1,10,-1,7,1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-1,11,-2]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[10,1,7,1],[7,1,10,-1,7,1,10,1,11,-2,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[11,1,12,3,11,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,10,-1,
11,1,10,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,2,11,-1,10,-1,7,1,10,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,1,10,-1,9,-1,10,1,9,1,11,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
9,1,6,1],[10,1,9,2,10,-1,9,-1,6,1,9,-1]]],[[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,
3,-1,4,-1],[1,1,2,1],[2,3,6,2],[7,3],[5,1,8,-1,5,1,8,-1]],[[1,1,2,1],[2,2],[3,
1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[7,3],[5,1,8,1],[5,-1,9,-1,8,-1,
9,1,8,1]]],[[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,1],[2,3,6,
2],[7,3],[8,2,5,1,8,1,5,-1,8,-1]],[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,
-1],[1,1,2,1],[2,3,6,2],[7,3],[8,1,5,-1,8,-2,5,-1,8,-1]]],[[[1,1,2,1],[2,2],[
3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[7,3],[8,2,5,-1,8,2,5,-1]],[[
1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[7,3],[8,1,5,
1,8,3,5,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,2,2,1,4,1,3,1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,3,4,4,1],[5,4],[1,1,2,1],[2,1,1,1],[1,1,2,-2,7,-1,8,2,2,
1,8,1,7,1],[6,1,9,-1,6,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1],[5,4],[1,1,
2,1],[2,1,1,1],[1,1,2,-2,7,-1,8,2,2,1,8,1,7,1],[6,-1,9,1,6,1]]],[[[1,1,2,1],[
1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,
-2,6,1],[8,2,5,-1,8,-2],[9,1,8,-1,5,-1,9,1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,
3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[8,2,5,1,8,-3,
5,-1]]],[[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,
7,1,6,1,7,1],[8,-1,5,1]],[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,
2,1,1,2,1],[6,1,7,1,6,1,7,1],[5,-2,8,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[10,1,9,2,6,1,9,
1,10,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[
2,1,7,2],[8,3],[6,1,9,1],[9,1,10,1],[10,1,11,2,10,1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,
1],[11,1,10,2,7,1,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,1],[11,1,12,2,11,
1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,
1,6,1,7,-1,1,1,2,-2,6,1],[5,-1],[8,1,5,1],[10,1,8,-1,9,-1,10,1,8,-1,9,-1],[11,
1,8,1],[8,1,11,1,8,-1],[13,1,12,-2,13,-1,12,-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,
1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[5,-1],[8,
1,5,1],[10,1,8,-1,9,-1,10,1,8,-1,9,-1],[8,1,11,1,8,-1,11,1,8,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1],[1,1,2,3],[7,2],[6,1,8,1],[1,1,
2,1],[2,1,1,1],[2,1,11,1],[11,1,10,1,12,-1,11,-1,12,-1],[2,1,11,-2,10,-1,11,
1],[13,1,14,1],[9,1,15,-1,9,1,15,1,9,1],[16,1,15,1],[15,1,17,3,16,1,15,-1]],[[
1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1],[1,1,2,3],[7,2],[6,1,8,
1],[1,1,2,1],[2,1,1,1],[2,1,11,1],[11,1,10,1,12,-1,11,-1,12,-1],[2,1,11,-2,10,
-1,11,1],[13,1,14,1],[9,1,15,-1,9,1,15,1,9,1],[16,1,15,1],[17,2,16,1,15,-1,17,
1,16,1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[
2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[5,-1,8,1],[8,3,5,-1],[9,1,10,-1,9,2,10,1,9,
1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,
6,1,7,-1,1,1,2,-2,6,1],[8,3,5,-1],[9,1,5,-1,8,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[
3,1,4,2,3,-1,4,1,2,-1,4,-1],[5,4],[1,1,2,1],[2,1,1,1],[8,1,7,1,2,2,7,2,2,1,8,
1],[9,14],[1,1,2,-2,7,-1,8,1,2,1,8,-1,7,1],[11,5],[7,1,2,2,8,-2,7,1,8,-1,2,
-1],[13,4],[10,1,12,1,14,1],[15,2,6,1,15,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,
-1,4,1,2,-1,4,-1],[5,4],[1,1,2,1],[2,1,1,1],[8,1,7,1,2,2,7,2,2,1,8,1],[9,14],[
1,1,2,-2,7,-1,8,1,2,1,8,-1,7,1],[11,5],[7,1,2,2,8,-2,7,1,8,-1,2,-1],[13,4],[
10,1,12,1,14,1],[15,1,6,1,15,-1,6,1]]],[[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,
4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[5,2,8,1]],[[1,1,2,1],[3,1,2,2,3,
1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[8,1,5,-1,8,
1]]],[[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,
6,1,7,1],[8,-1,5,1]],[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,
1,2,1],[6,1,7,1,6,1,7,1],[5,1,8,-1,5,-2]]],[[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[
4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[5,1,8,1]],[[1,1,2,1],[3,1,2,2,
3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,1,7,1],[5,-1,8,1,5,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,1,10,-1,9,-1,10,2,11,-1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,
1],[10,1,6,1,9,1,10,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,11,2,9,2,10,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[6,1,9,1],[10,2,9,1,6,1,9,-1,10,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,9,-2],[
11,1,10,1,11,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,11,-1,10,-1,11,
2,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,7,1,10,1,11,-1,10,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[11,1,12,2,10,2,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,1,
10,-1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-2],[12,1,11,1,12,1,11,1]]],[[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[10,1,7,1],[11,2,10,1,12,-1,11,1,10,1,11,1,12,-1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[10,2,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,1,11,
3,7,1,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,-1,11,-2,12,1,11,-1,
10,-1,11,-1]]],[[[1,1,2,-3,1,1,2,1,1,1],[3,6]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,
3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[9,
1,8,1,9,-1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,
5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[9,2,8,1,9,-1,8,1,6,1,8,1]],[[2,1,1,
1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,
1,1,1],[7,6],[6,2],[6,1,8,1],[10,1,9,1,8,1,9,-1,10,-1]]],[[[1,1,2,-3,1,1,2,1,
1,1],[3,6]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,
5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1],[6,2,9,2,6,1]],[[2,1,1,1],[1,1,2,
2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,
6],[6,2],[8,1,6,-1,8,1,9,2,8,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,
2,12,-1,11,1,12,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-2,7,1,10,1,11,
2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[10,1,7,1],[11,2,10,-2,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,
-2],[12,1,11,1,12,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,11,2,7,1,10,-1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[11,1,7,1,10,-1,11,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,
1],[11,1,7,1,12,3,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,11,1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
10,1,7,1],[7,1,10,-1,11,-1,7,1,10,1,7,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,
10,-1,11,3,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,11,2]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[11,3,12,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,4,10,1,7,1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[10,1,7,1],[7,1,10,1,11,-1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,2,7,1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,10,1,7,
1]]],[[[1,1,2,-3,1,1,2,1,1,1],[3,6]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,
2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[9,1,8,1,6,-1,
8,1,9,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,
1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[9,1,6,1,8,1,9,1,8,1,6,-1]],[[2,1,1,1],[
1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,
1],[7,6],[6,2],[9,1,8,1,9,-1,8,1,6,1,8,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[12,1,11,-2,10,1,12,-1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,10,2,7,1,10,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,11,1,10,1,11,1,10,1,7,1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[10,1,7,1],[11,2,12,-1,11,1,12,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
11,1,10,1,7,1,10,2,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,11,3,12,
2]]],[[[1,1,2,-3,1,1,2,1,1,1],[3,6]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,
2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1],[9,1,6,1,
8,1,6,1,9,-1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,
1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[8,1,6,-1,8,1,9,2,8,1,9,1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[11,2,10,1,7,1,10,-1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,11,
2,7,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,7,1,10,-1,11,2]]],[[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,11,1],[10,1,7,1,12,-1,11,-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,
10,-1,11,2,10,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,10,-1,11,1,7,1,10,-2,
11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,7,1,11,-1,10,-1,11,-1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,11,1],[12,1,10,1,7,1,11,-1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,
7,1,10,-2,11,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[
1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,10,1],[11,1,9,1,6,1,10,-1,11,-1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[6,1,9,1],[10,1,6,1,9,-2,10,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,
2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,2,11,-1,10,
1,11,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,-2,6,1,9,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
11,2,12,-1,11,1,12,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-2,7,1,10,2]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[
10,1,9,2,10,-1,9,-1,6,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,
3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,-1,10,2,9,1,6,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
9,1,6,1],[10,1,6,1,9,1,10,-1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,2,11,-1,
10,-1,7,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,-1,11,2,10,1,7,1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
10,1,7,1],[11,1,7,1,10,1,11,-1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,
3,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,7,1,10,-1,7,1,10,-1]]],[[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[7,1,10,-1,11,1,7,1,11,-1,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,
7,1,10,-2,11,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,-1,7,1,11,1,10,-1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[11,2,10,1,7,1,10,-1,11,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,
3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,9,-1,
10,1,6,1,10,-1,9,1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[
5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,6,1,9,-2,10,1,9,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
9,1,6,1],[10,1,9,-1,6,1,10,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,
2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,2,9,1,6,1,9,-1,10,
-2]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,
7,1,6,1,7,-1,1,1,2,-2,6,1],[8,2,5,-1,8,-2],[9,1,8,-1,5,-1,9,1]],[[1,1,2,1],[1,
1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,
6,1],[5,1,8,1]]],[[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,1],[2,
3,6,2],[7,3],[5,1,8,2,5,1]],[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,
1,2,1],[2,3,6,2],[7,3],[8,1,5,-1,8,-1,5,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,
1,3,4,4,1],[5,4]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,4,4,1],[5,4],[1,1,2,1],[2,1,
1,1],[1,1,2,-2,7,-1,8,2,2,1,8,1,7,1],[9,1,6,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,4,1],[4,1,3,1,5,1,3,-1,5,-1],[1,1,2,3],[7,2],[6,1,8,1],[1,1,2,1],[2,1,1,1],[
2,1,11,1],[11,1,10,1,12,-1,11,-1,12,-1],[2,1,11,-2,10,-1,11,1],[13,1,14,1],[9,
1,15,-1,9,1,15,1],[15,1,9,1,15,-1],[16,2,17,1,16,-1,17,1,16,1]],[[1,1,2,1],[2,
1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1],[1,1,2,3],[7,2],[6,1,8,1],[1,1,2,1],[
2,1,1,1],[2,1,11,1],[11,1,10,1,12,-1,11,-1,12,-1],[2,1,11,-2,10,-1,11,1],[13,
1,14,1],[9,1,15,-1,9,1,15,1],[15,1,9,1,15,-1],[17,1,16,2,17,1,16,2]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[10,1,7,1],[11,1,12,2,10,2,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,
7,1,10,-2,11,2,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,10,-1],[12,1,11,1,12,
1,11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[10,1,11,2,9,2,10,1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,
1],[10,1,6,1,9,-2,10,2,9,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1,9,-1],[11,1,10,1,11,1,
10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,-1,4,-1,5,-1],[2,1,4,-2,3,
-1,4,1],[6,1,7,1],[8,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,
-1],[1,1,2,3],[7,2],[6,1,8,1],[1,1,2,1],[2,1,1,1],[2,1,11,1],[11,1,10,1,12,-1,
11,-1,12,-1],[2,1,11,-2,10,-1,11,1],[13,1,14,1],[9,1,15,-1,9,1,15,1,9,1],[15,
1,16,1],[15,1,17,-1,15,-1,16,1,17,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,
-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,6,1,9,-2,10,2,9,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[6,1,9,1],[10,1,9,1,10,1,6,1,9,-1,10,-2]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,
1],[10,2,7,1,10,1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,-1,7,1,11,1]]],[[[1,
1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[9,1,6,1],[9,2,6,1,9,1,10,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[10,1,9,-1,6,1,10,1]]],[[[
1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,
-1,1,1,2,-2,6,1],[5,-1],[8,1,5,1],[10,1,8,-1,9,-1,10,1,8,-1,9,-1],[11,1,8,-1,
11,-1,8,-1,11,1,8,1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[
2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[5,-1],[8,1,5,1],[10,1,8,-1,9,-1,10,
1,8,-1,9,-1],[11,-1,8,1,11,1,8,1,11,-1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,
3,1,4,-1,1,1,2,-2,3,1],[5,1],[6,2]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,
7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[5,-1],[8,1,5,1],[10,1,
8,-1,9,-1,10,1,8,-1,9,-1],[11,1,8,-1,11,-1,8,-1,11,1]]],[[[1,1,2,1],[1,1,2,-2,
3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[
5,-1],[8,1,5,1],[10,1,8,-1,9,-1,10,1,8,-1,9,-1],[11,-1,8,1,11,1,8,1,11,-1],[
12,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,4,-1,1,1,2,-2,3,1]]],[[[1,1,2,1],[2,
1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,3,2,2,1],[5,3]],[[1,1,2,-2],[3,2,2,-1,1,1,2,1,
1,1],[4,6],[1,1,2,1],[2,1,1,1],[7,1,6,-1,2,-1,6,-1,7,1,6,2,2,1],[8,-1,5,1,8,
1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,
1,6,1,7,-1,1,1,2,-2,6,1],[5,-1],[8,1,5,1],[10,1,8,-1,9,-1,10,1,8,-1,9,-1],[11,
-1,8,2,11,1,8,2,11,-1],[11,-1,8,1,11,-1,8,-1],[12,-1,13,-1,12,1,13,-1]],[[1,1,
2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,
1,1,2,-2,6,1],[5,-1],[8,1,5,1],[10,1,8,-1,9,-1,10,1,8,-1,9,-1],[11,-1,8,1,11,
-1,8,-1],[11,-1,8,2,11,1,8,2,11,-1,12,2]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,
3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[5,-1],[8,1,5,
1],[10,1,8,-1,9,-1,10,1,8,-1,9,-1],[11,-1,8,-3,11,1,8,-1,11,1,8,2]],[[1,1,2,
1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,
1,2,-2,6,1],[5,-1],[8,1,5,1],[10,1,8,-1,9,-1,10,1,8,-1,9,-1],[11,1,8,-1,11,1,
8,2],[12,-2]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,
1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[5,1,8,1,5,1],[9,-3,8,-1,5,1,8,1,9,1]],[[1,
1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,
-1,1,1,2,-2,6,1],[8,-1,5,-1,8,1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,
7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[5,-1],[8,1,5,1],[10,1,
8,-1,9,-1,10,1,8,-1,9,-1],[11,-1,8,-3],[12,1,8,-2,11,-1,8,1,11,-1,12,-1]],[[1,
1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,
-1,1,1,2,-2,6,1],[5,-1],[8,1,5,1],[10,1,8,-1,9,-1,10,1,8,-1,9,-1],[11,1,8,-1,
11,1,8,2],[12,-2]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,
-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,
-1,8,1,4,1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,
-1,5,1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,1,8,1],[4,2,
9,-2]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,
6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[9,1,4,1,9,1,8,
1,9,1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,
1,6,-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2],[4,-1,9,-1,8,
1,4,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,-2,11,-2]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[10,2,7,1,10,-2,7,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,
3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,1,11,-2,10,
-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[9,2,6,1,9,-2,6,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,10,-1],[
12,1,11,1,12,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,2,7,1,10,1,11,2]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[11,2,10,1,7,1,10,2,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[12,1,10,2,11,2,12,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,2,7,1,10,-2,7,1,10,1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[11,2,10,1,7,1,10,1,11,2]]],[[[1,1,2,-3,1,1,2,1,1,1],[3,6]],[[2,1,1,
1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,
1,1,1],[7,6],[6,1,8,1],[9,1,6,-2,8,1,9,1,6,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,
3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[9,
1,6,1,8,1,6,-1,8,1,9,-1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,
1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[6,1,8,1,9,1,6,1,8,1,9,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,7,1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[11,2,7,1,10,-2,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[11,1,10,1,
11,1,12,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1],[11,1,12,-1,11,1,12,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,2,11,-1,10,1,11,1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[7,1,10,-1,11,2,10,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,2,7,1,10,-1,7,1,10,
2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,11,1,12,-1,11,-1,12,1,10,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[12,1,10,2,11,2,12,1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[7,1,11,-1,10,2,7,1,11,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,
-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,1,10,1,
11,-1,10,-1,11,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[
5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[11,1,9,2,10,2,11,1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[6,1,9,1],[6,1,10,-1,9,2,6,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-2,7,
1,10,1,11,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,11,1,10,1,7,1,10,2]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
9,1,6,1],[6,1,9,-2,6,1,9,1,10,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,9,1,10,1,9,1,6,1,9,
2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,10,1,7,1,10,1,11,2]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,-1,7,1,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,1,7,1,10,-1,7,1,10,-1]]],[[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[11,1,10,2,7,1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,11,
2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,-1,7,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,
-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,2,6,1,9,1]],[[1,1,
2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[6,1,9,-1,6,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,7,1,10,1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,-1,7,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[
5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,2,10,1,9,1,6,1,10,-2]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
9,-2,6,1,9,-1,6,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,11,1,10,1,7,1,11,
-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,-2,7,1,10,-1,7,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[
11,1,10,-2,9,1,11,-1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,-2,6,1,9,-2,6,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,7,1],[12,1,11,-2,10,1,12,-1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,-2,7,1,10,-2,
7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[
2,1,7,2],[8,3],[9,1,6,1],[6,1,9,1,10,-1,9,-1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-1,6,1,9,1,6,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[9,1,6,1,9,1,6,1,9,-1,6,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[10,1,9,-1,6,1,
10,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,-1,10,-1,11,1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,-1,7,1,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,1,7,1,10,-1,7,1,10,-1]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[10,1,7,1],[11,1,10,-1,7,1,11,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,
3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,
1],[9,1,10,1,11,-1,10,-1,11,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,
2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,10,4,9,1,6,1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[6,1,9,1],[6,1,10,-1,9,2,6,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[
10,1,11,1,12,-1,11,-1,12,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,4,10,1,7,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[
8,2,2,1],[9,3],[7,1,10,1],[7,1,11,-1,10,2,7,1,11,-1]]],[[[2,1,1,1],[1,1,2,2,3,
-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[
6,-1,8,1,6,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,
1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[9,1,8,1,9,-1]],[[2,1,1,1],[1,1,2,2,
3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,
6],[6,2],[6,1,8,1,6,-1,9,-1,8,1,6,-1,8,1,9,1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,
-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,
8,1,6,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,
1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[9,2,8,1,9,1,6,1]],[[2,1,1,1],[1,1,2,2,
3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,
6],[6,2],[8,1,9,1,6,1,8,1,9,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,7,1],[11,1,
12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[
6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,11,1,10,1,7,1,10,2]],[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[10,1,7,1],[7,1,10,1,11,-1],[11,1,12,-1,11,1,12,-1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[10,1,7,1],[11,1,12,3,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-2,7,1,10,2,7,1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[10,1,7,1],[10,2,7,1,10,1,11,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,
1],[10,1,11,3,12,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,-2,7,1,10,2,11,-1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[11,1,10,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,
-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,1,10,3,
11,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[9,1,6,1],[10,1,9,-2,6,1,9,2,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,9,1,
10,1]]],[[[1,1,2,-3,1,1,2,1,1,1],[3,6]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[
1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1,6,3,8,
1,6,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,
1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1],[8,1,6,-1,8,1,9,2,6,-3]]],[[[1,1,2,
1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[7,3],[5,1,8,-1,5,1,
8,-1]],[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[7,
3],[8,1,5,1,8,-1,5,-1,8,-2]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[
1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[8,-1,5,-1],[9,2]],[[1,1,2,
1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,
1,2,-2,6,1],[8,2,5,-1,8,-2]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,
1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[9,1,8,1,6,-1,9,
-1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,
1,2,-3,1,1,2,1,1,1],[7,6],[8,1,6,-1,8,1,6,2,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,
1,11,-1,10,1,7,1,10,-1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,2,7,1,10,1,7,1,10,-2]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1],[6,1,10,-1,9,1,6,1,9,-1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,
-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,2,6,1,9,1,6,1,9,-2]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[7,1,10,-1,7,1,10,-1,11,1,10,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[
10,1,7,1,10,-1,11,-1,10,-1,11,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,
2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,9,-1,6,1,9,-1,10,1,
9,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1,9,-1,10,-1,9,-1,10,-2]]],[[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[10,1,11,1],[11,1,12,2,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,-1,7,1,
11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[
2,1,7,2],[8,3],[6,1,9,1],[9,1,10,1],[10,1,11,2,10,1]],[[1,1,2,1],[2,1,1,1],[4,
1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[10,1,9,
-1,6,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,3,2,2,1,4,1],[5,14],[1,1,2,
-2,3,-1,4,1,2,1,4,-1,3,1],[7,5],[3,1,2,2,4,-2,3,1,4,-1,2,-1],[9,4],[6,1,8,1,
10,1],[11,4]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1,2,-1,4,-1],[5,4]],[[1,1,
2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1,2,-1,4,-1],[5,4],[1,1,2,1],[2,1,1,1],[8,1,7,
1,2,2,7,2,2,1,8,1],[9,14],[1,1,2,-2,7,-1,8,1,2,1,8,-1,7,1],[11,5],[7,1,2,2,8,
-2,7,1,8,-1,2,-1],[13,4],[10,1,12,1,14,1],[15,1,6,1,15,-1]]],[[[1,1,2,-3,1,1,
2,1,1,1],[3,6]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[
4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[9,1,8,1,9,-1]],[[2,1,1,1],[1,1,2,
2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,
6],[6,1,8,1],[9,3,6,-1,8,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,
1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[8,1,6,1],[8,1,10,-1,
9,1,10,1,9,1]]],[[[1,1,2,-2],[3,2,2,-1,1,1,2,1,1,1],[4,6],[1,1,2,1],[2,1,1,
1],[7,1,6,-1,2,-1,6,-1,7,1,6,2,2,1],[8,1,5,1,8,-1,5,1]],[[1,1,2,-2],[3,2,2,-1,
1,1,2,1,1,1],[4,6],[1,1,2,1],[2,1,1,1],[7,1,6,-1,2,-1,6,-1,7,1,6,2,2,1],[5,1,
8,-1,5,1,8,1]]],[[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,1],[2,3,
6,2],[7,3],[5,1,8,1,5,-1]],[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,
2,1],[2,3,6,2],[7,3],[8,-1,5,1,8,1]],[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,
4,-1],[1,1,2,1],[2,3,6,2],[7,3],[5,-1,8,2,5,1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[
4,1,3,-1,2,-1,3,-1,4,1,3,2,2,1],[5,3]],[[1,1,2,-2],[3,2,2,-1,1,1,2,1,1,1],[4,
6],[1,1,2,1],[2,1,1,1],[7,1,6,-1,2,-1,6,-1,7,1,6,2,2,1],[5,1,8,-1,5,1]]],[[[1,
1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,
1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[8,1,4,1,8,1,4,-3]],[[1,1,2,-1],[
2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,-1,5,1,2,1,5,-1,6,
1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[4,2,8,1,4,-2,8,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[
10,1,9,-2,6,1,9,2,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1,9,1,6,1,9,-1,6,1,9,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1],[10,1,6,1,9,1,6,1,10,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[9,2,10,-1,6,1,9,1,10,-1,9,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,-2,7,1,10,2,11,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,
7,1,10,1,7,1,10,-1,7,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,7,1,10,1,7,1,11,
-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,1,7,1],[10,2,11,-1,7,1,10,1,11,-1,10,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[7,1,11,-3,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,-2,7,1,10,-2,7,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[11,2,7,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[6,1,10,-3,9,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
9,-2,6,1,9,-2,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,
7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,2,6,1,9,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[10,1,11,1],[11,1,12,1,10,1,7,1,12,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1,
10,-1],[11,1,12,1,11,1,12,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,
3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,10,1],[10,1,11,1,9,1,6,1,
11,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[
2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1,9,-1],[10,1,11,1,10,1,11,1]]],[[[1,1,2,1],[
2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
7,1,10,1],[11,1,10,1,7,1,10,-1,11,-1,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
11,1],[12,1,11,1,12,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,-2,7,1,10,2,11,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,-2,7,1,10,-2,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,9,1,10,1,9,
1,6,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[9,1,6,1],[6,1,9,-1,10,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,
10,1,11,1,10,1,7,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-1,11,-2]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[10,1,7,1],[10,1,11,4,10,-1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,2],[11,1,10,1,7,1,11,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[9,1,6,1],[9,1,10,4,9,-1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,2],[10,1,9,1,6,1,10,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[10,1,9,1,6,1,9,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-1,6,1,9,1,6,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[9,1,6,1],[10,1,9,-1,6,1,10,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,
10,1,7,1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,10,1,7,1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,
1,7,1],[11,1,10,-1,7,1,11,1,10,-1]]],[[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,
4]],[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1],[4,4],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,
1,7,1],[8,-1,5,-1,8,1]]],[[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,
2,1],[2,3,6,2],[7,3],[5,1,8,1,5,-1,8,1]],[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,
-1,4,-1],[1,1,2,1],[2,3,6,2],[7,3],[8,-2,5,-1,8,-1]]],[[[1,1,2,1],[2,2],[3,1,
4,1,1,1,2,-1,3,-1,4,-1]],[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,
1],[2,3,6,2],[7,3],[8,2,5,1,8,1,5,-1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[
4,1,3,1,5,1,3,-1,5,-1],[1,1,2,3],[7,2],[6,1,8,1],[1,1,2,1],[2,1,1,1],[2,1,11,
1],[11,1,10,1,12,-1,11,-1,12,-1],[2,1,11,-2,10,-1,11,1],[13,1,14,1],[9,1,15,
-1,9,1,15,1],[15,1,9,1,15,-1,16,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,
1,3,-1,5,-1],[1,1,2,3],[7,2],[6,1,8,1],[1,1,2,1],[2,1,1,1],[2,1,11,1],[11,1,
10,1,12,-1,11,-1,12,-1],[2,1,11,-2,10,-1,11,1],[13,1,14,1],[9,1,15,-1,9,1,15,
1],[15,1,9,1,15,-1],[16,2,17,1,16,1,17,1,16,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,
2,1,3,4,4,1],[5,4]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,2,2,1,4,1,3,1]]],[[[
1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[
8,3],[6,1,9,1],[9,1,6,1],[11,1,9,2,10,2,11,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,
2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,2,6,1,9,-1,
10,2,9,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[9,1,6,1],[10,1,9,-1,6,1,10,1]]],[[[1,1,2,1],[1,1,2,-2,3,1,
2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[5,
-1],[8,1,5,1],[10,1,8,-1,9,-1,10,1,8,-1,9,-1],[11,-1,8,2,11,1,8,-1,11,1]],[[1,
1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,
-1,1,1,2,-2,6,1],[5,-1],[8,1,5,1],[10,1,8,-1,9,-1,10,1,8,-1,9,-1],[11,1,8,2,
11,1,8,-1,11,-1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,
-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[8,1,6,-1,8,1,6,2]],[[2,1,1,1],[1,
1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,
1],[7,6],[6,1,8,1,6,-1,8,1,6,-1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,
2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[8,1,6,-2]],[[2,1,1,
1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,
1,1,1],[7,6],[8,1,6,1,8,1],[9,1,6,-2,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,
1,4,-1,1,1,2,-2,3,1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[
2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[5,-1],[8,1,5,1],[10,1,8,-1,9,-1,10,
1,8,-1,9,-1],[11,-1,8,1,11,1,8,1,11,-1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,
-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[5,-1],[8,1,5,
1],[10,1,8,-1,9,-1,10,1,8,-1,9,-1],[11,1,8,-1,11,1,8,2],[12,1,11,-1,8,-3,12,
-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,
1,6,1,7,-1,1,1,2,-2,6,1],[5,-1],[8,1,5,1],[10,1,8,-1,9,-1,10,1,8,-1,9,-1],[11,
-1,8,-3]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,
1,7,1,6,1,7,-1,1,1,2,-2,6,1],[5,-1],[8,1,5,1],[10,1,8,-1,9,-1,10,1,8,-1,9,
-1],[11,1,8,-1,11,1,8,2],[12,-2]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,
7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[5,1,8,1],[9,1,5,-1,9,
-1],[8,4],[10,-1],[11,1,10,-1,11,-1],[13,1,12,-1,13,1,12,-1],[10,1,11,-1,10,
-1],[15,2,14,-1,15,-1,14,-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,
1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[5,1,8,1],[9,1,5,-1,9,-1],[8,
4],[10,-1],[11,1,10,-1,11,-1],[13,1,12,-1,13,1,12,-1],[10,1,11,-1,10,-1],[14,
1,15,-1,14,-1,15,1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,
1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[5,-1],[8,1,5,1],[10,1,8,-1,9,-1,
10,1,8,-1,9,-1],[11,-1,8,-3],[12,1,11,1,8,-1,11,1,8,2,12,-1]],[[1,1,2,1],[1,1,
2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,
1],[5,-1],[8,1,5,1],[10,1,8,-1,9,-1,10,1,8,-1,9,-1],[8,-2,11,-1,8,1,11,
-1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,
7,1,6,1,7,-1,1,1,2,-2,6,1],[8,-1,5,1,8,1],[5,1,8,1,5,1],[9,1,10,-1,9,-1,10,1,
9,1,10,1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[
2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[8,-1,5,-1,8,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1],[10,1,12,1,11,-1,10,1,12,-1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,
1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,11,2]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,-1,7,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,7,1,10,-1,
11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,2],[11,1,10,
1,7,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,7,1,10,-1,11,-2]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[10,2,7,1,10,-2,7,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,-1,10,1,11,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,3,10,1,7,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,
2],[11,1,10,1,7,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,
4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-1,11,-2]]],[[[2,1,1,
1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,
1,1,1],[7,6],[6,2],[9,1,8,1,9,-1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,
-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1,6,-1,8,1,6,1,
8,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[
1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1],[9,2,6,2,9,1]]],[[[2,1,1,1],[1,1,2,2,3,
-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[
8,1,6,-1,8,1,6,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,
-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[9,1,8,1,9,-1]],[[2,1,1,1],[
1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,
1],[7,6],[6,2],[9,1,6,1,8,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,2,7,1,10,1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[10,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,
7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,2,6,1,9,1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[7,1,11,-1,10,1,7,1,10,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,2],[11,1,
10,1,7,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,11,-3,10,-1]]],[[[1,1,2,1],[2,1,
1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,
1],[6,1,10,-1,9,1,6,1,9,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,2],[10,1,9,1,6,1,10,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1],[6,1,10,-3,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,2],[11,1,10,1,7,1,11,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[10,1,7,1,10,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,2],[10,1,9,1,6,1,10,1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,
1,9,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[10,2],[11,1,10,1,7,1,11,1]],[[1,1,2,1],[2,1,1,1],[2,
1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[
7,1,10,-1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,11,2]]],[[[1,1,2,1],[2,1,1,1],[
4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,2],[10,1,9,1,
6,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[9,1,6,1],[6,1,9,-1,10,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,
2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,2,10,
2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,7,1],[10,1,12,-2,11,-2]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[7,1,10,-1,11,-1,10,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,
2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1],[9,1,11,-2,10,
-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[6,1,9,1],[6,1,9,-1,10,-1,9,1,10,1]]],[[[1,1,2,-3,1,1,2,1,1,1],[3,
6]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,
1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1,6,-1,8,1,6,2]],[[2,1,1,1],[1,1,2,2,3,-1,2,
-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,3,
8,1,6,-1,8,1,6,-1]]],[[[1,1,2,-3,1,1,2,1,1,1],[3,6]],[[2,1,1,1],[1,1,2,2,3,-1,
2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,
-1,8,1,6,3]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,
5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1],[9,1,6,-1,9,-2,8,1]]],[[[2,1,1,
1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,
1,1,1],[7,6],[6,1,8,1,6,-1,8,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,
-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[9,1,8,1,9,
1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,
1,2,-3,1,1,2,1,1,1],[7,6],[8,1,6,-3,8,1,6,1]]],[[[1,1,2,-3,1,1,2,1,1,1],[3,
6]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,
1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1,6,2]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[
1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1],[6,2,
9,2,6,1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[
2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[5,1,8,1,5,1],[9,1,8,-1,5,1,8,1],[10,2,9,
-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,
1,6,1,7,-1,1,1,2,-2,6,1],[8,-1,5,-1,8,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,10,4,9,1,6,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[6,1,9,1],[6,1,10,-1,9,2,6,1,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1,9,1,6,1,9,-1,
6,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,-1,6,1,9,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,
4,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,11,-1,10,2,7,1,11,-1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[
10,1,7,1,10,1,7,1,10,-1,7,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,10,1,7,1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[10,2,7,1,10,-1,7,1,10,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,-1,11,1,10,1,7,
1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[9,2,6,1,9,-1,6,1,9,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,-1,10,1,9,1,6,
1,9,-1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[
2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[8,-1,5,-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,
3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[8,2,5,-1,8,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,7,1,10,-2,11,2]],[[1,1,2,1],[3,2,2,1],[4,
3]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,
1,7,2],[8,3],[6,1,9,1],[10,1,6,1,9,-2,10,2]],[[1,1,2,1],[2,1,3,2],[4,3]]],[[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[10,1,7,1],[7,1,10,1,11,-1],[11,1,12,-1,11,1,12,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,
-2,7,1,10,-1,7,1,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,
1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,10,-1,11,2]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
9,1,6,1],[6,1,9,1,10,-1],[10,1,11,-1,10,1,11,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,-2,6,1,9,-1,6,1,9,
1,6,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[
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-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1,9,-1,10,
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1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,10,1],[10,1,11,2,10,1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1],[10,1,7,1,10,-1,11,-1,10,-1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,11,
1],[11,1,12,2,11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,3,2,2,1,4,1],[5,14],[
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1,2,1],[2,1,1,1],[8,1,7,1,2,2,7,2,2,1,8,1],[9,14],[1,1,2,-2,7,-1,8,1,2,1,8,-1,
7,1],[11,5],[7,1,2,2,8,-2,7,1,8,-1,2,-1],[13,4],[10,1,12,1,14,1],[15,1,6,
1]]],[[[1,1,2,-2],[3,2,2,-1,1,1,2,1,1,1],[4,6]],[[1,1,2,-2],[3,2,2,-1,1,1,2,1,
1,1],[4,6],[1,1,2,1],[2,1,1,1],[7,1,6,-1,2,-1,6,-1,7,1,6,2,2,1],[8,1,5,1,8,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,3,2,2,1],[5,3]]],[[[1,1,2,
1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[7,3],[8,2,5,1]],[[
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3,-1,1,1],[5,-1,1,1,5,1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,
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6],[1,1,2,1],[8,2,2,1],[9,3],[10,-2,7,1,10,-2,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,1,
7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[
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1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,7,1,10,-1,7,1,11,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,11,-1,10,2,7,1,11,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,
7,1,10,1,7,1,10,-1,7,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,
1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,11,1,7,1,10,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,2],[11,1,10,1,7,1,11,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1,9,1,6,1,9,-1,
6,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,9,1,10,1,6,1,9,-1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,2],[10,1,9,1,
6,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[
1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,11,1,10,1,7,1,10,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[11,2,7,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,9,1,10,1,9,1,6,1,9,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[6,1,9,1],[10,2,6,1,9,1]]],[[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,
-1,4,-1]],[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,1],[2,3,6,2],[
7,3],[8,-3,5,-1,8,-1]]],[[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[1,1,2,
1],[2,3,6,2],[7,3],[5,1,8,-1]],[[1,1,2,1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1],[
1,1,2,1],[2,3,6,2],[7,3],[5,-1,8,2]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,
1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[8,1,6,1,8,1,6,
-1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,
1,2,-3,1,1,2,1,1,1],[7,6],[8,1,6,3]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,
1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[8,1,6,1,8,1]],[[
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1,1,2,1,1,1],[7,6],[6,2],[9,1,6,1,8,1,9,-1]]],[[[2,1,1,1],[1,1,2,2,3,-1,2,-2,
3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1,
6,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[
1,1,2,-3,1,1,2,1,1,1],[7,6],[8,1,6,1],[9,1,8,1,6,-1,9,-1]]],[[[2,1,1,1],[1,1,
2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[
7,6],[6,-1,8,1,6,2]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,
-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1,6,1,8,1,6,-1]]],[[[2,1,1,
1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,
1,1,1],[7,6],[6,1,8,1,6,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,
3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,2],[9,2,8,1,9,1]]],[[[1,1,
2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[6,1,9,1],[9,1,10,1],[10,1,11,2,10,1]],[[1,1,2,1],[2,1,3,2],[4,3]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[10,1,11,1],[11,1,12,2,11,1]],[[1,1,2,1],[3,2,2,1],[4,3]]],[[[
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-1,1,1,2,-2,6,1],[5,-1],[8,1,5,1],[10,1,8,-1,9,-1,10,1,8,-1,9,-1],[11,-1,8,
-3]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,
1,6,1,7,-1,1,1,2,-2,6,1],[5,-1],[8,1,5,1],[10,1,8,-1,9,-1,10,1,8,-1,9,-1],[11,
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6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,2],[11,1,10,1,7,1,11,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
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6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,11,2]]],[[[1,1,2,1],[2,1,1,1],[
4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,2],[10,1,9,1,
6,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,-1,6,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,
-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,2,10,2]]],[[[2,1,1,
1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,
1,1,1],[7,6],[6,1,8,1,6,2]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,
3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,1,8,1,6,-1,8,1,6,1]]],[[[
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1,1,2,1,1,1],[7,6],[6,2],[9,1,8,1,9,1]],[[2,1,1,1],[1,1,2,2,3,-1,2,-2,3,-1],[
1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1],[1,1,2,-3,1,1,2,1,1,1],[7,6],[6,-1,8,1,6,
3]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,3,2,2,1]],[[1,1,2,-2],[3,2,
2,-1,1,1,2,1,1,1],[4,6],[1,1,2,1],[2,1,1,1],[7,1,6,-1,2,-1,6,-1,7,1,6,2,2,1],[
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6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,11,1,10,1,7,1,11,-2]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,1],[10,-1,11,1,10,1,7,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,-2,
11,-2,10,-1,7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,
7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,2,10,1,9,1,6,1,10,-2]],[[1,1,2,1],[
2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,
9,1],[9,-1,10,1,9,1,6,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,
3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1],[6,1,9,-2,10,-2,9,-1,6,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[10,2,7,1,10,-1,7,1,10,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,10,-1,
7,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[
2,1,7,2],[8,3],[9,2,6,1,9,-1,6,1,9,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,
-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-1,6,1,9,-1,6,1]]],[[[1,
1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[10,2,7,1,10,-1,7,1,10,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,
1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-2,7,1,10,2,7,1]]],[[[
1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[
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-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-2,6,1,9,2,6,1]]],[[[1,1,2,1],[3,1,
2,2,3,1,2,1,3,1],[4,4]],[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1],[1,1,2,3],[7,2],[6,1,8,1],[1,1,
2,1],[2,1,1,1],[2,1,11,1],[11,1,10,1,12,-1,11,-1,12,-1],[2,1,11,-2,10,-1,11,
1],[13,1,14,1],[9,1,15,-1,9,1,15,1],[15,1,9,1,15,-1],[17,1,16,1,17,1,16,1]],[[
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1],[1,1,2,1],[2,1,1,1],[2,1,11,1],[11,1,10,1,12,-1,11,-1,12,-1],[2,1,11,-2,10,
-1,11,1],[13,1,14,1],[9,1,15,-1,9,1,15,1],[15,1,9,1,15,-1],[17,1,16,-1,17,1,
16,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,6,1,10,-1,9,-1,10,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1,9,
-1,6,1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,7,1,11,-1,10,-1,11,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[10,1,7,1,10,-1,7,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,
-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,9,1,10,2,9,1,6,1]],[[
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8,3],[6,1,9,1],[6,1,10,-1,9,2,6,1,10,-1]],[[1,1,2,1],[2,1,3,2],[4,3]]],[[[1,1,
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1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[7,1,11,-1,
10,2,7,1,11,-1]],[[1,1,2,1],[3,2,2,1],[4,3]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,
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-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,2],[11,
2,9,1,6,1]],[[1,1,2,1],[2,1,3,2],[4,3]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[7,1,10,1,11,
-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,10,1,7,1]],[[1,1,2,1],[3,2,2,1],[4,3]]],[[[
1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[
8,3],[9,1,6,1],[6,1,9,1,10,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,
3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-1,6,1,9,1,6,1]],[[1,1,2,1],[2,1,
3,2],[4,3]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1],[1,1,2,
3],[7,2],[6,1,8,1],[1,1,2,1],[2,1,1,1],[2,1,11,1],[11,1,10,1,12,-1,11,-1,12,
-1],[2,1,11,-2,10,-1,11,1],[13,1,14,1],[9,1,15,-1,9,1,15,1,9,1],[16,1,15,1,16,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1],[1,1,2,3],[7,2],[6,
1,8,1],[1,1,2,1],[2,1,1,1],[2,1,11,1],[11,1,10,1,12,-1,11,-1,12,-1],[2,1,11,
-2,10,-1,11,1],[13,1,14,1],[15,-2,9,1,15,-1,9,1,15,1,9,1,15,1]]],[[[1,1,2,1],[
1,1,2,-2,3,1,2,1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,
-2,6,1],[5,-1,8,1],[9,-1,8,3,5,-1,9,2]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,
-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[5,1,8,-3]]],[[[
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4,1,3,1,2,2,3,2,2,1,4,1],[5,14],[1,1,2,-2,3,-1,4,1,2,1,4,-1,3,1],[7,5],[3,1,2,
2,4,-2,3,1,4,-1,2,-1],[9,4],[6,1,8,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[
4,1,3,1,5,1,3,-1,5,-1],[1,1,2,3],[7,2],[6,1,8,1],[1,1,2,1],[2,1,1,1],[2,1,11,
1],[11,1,10,1,12,-1,11,-1,12,-1],[2,1,11,-2,10,-1,11,1],[13,1,14,1],[15,1,9,1,
15,-1,9,1,15,1,9,1,15,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,
-1,5,-1],[1,1,2,3],[7,2],[6,1,8,1],[1,1,2,1],[2,1,1,1],[2,1,11,1],[11,1,10,1,
12,-1,11,-1,12,-1],[2,1,11,-2,10,-1,11,1],[13,1,14,1],[9,1,15,-1,9,1,15,1,9,1,
15,1,9,1,15,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1],[1,1,
2,3],[7,2],[6,1,8,1],[1,1,2,1],[2,1,1,1],[2,1,11,1],[11,1,10,1,12,-1,11,-1,12,
-1],[2,1,11,-2,10,-1,11,1],[13,1,14,1],[9,1,15,-1,9,1,15,1],[16,2]],[[1,1,2,
1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1],[1,1,2,3],[7,2],[6,1,8,1],[1,1,
2,1],[2,1,1,1],[2,1,11,1],[11,1,10,1,12,-1,11,-1,12,-1],[2,1,11,-2,10,-1,11,
1],[13,1,14,1],[9,1,15,1],[15,1,16,3,15,1,9,1],[9,1,15,-1,9,1,15,1,17,2]]],[[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,
1],[9,3],[7,1,10,1],[11,2,7,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,
4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,10,-1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
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3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,2],[11,1,10,1,7,1,11,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,
3],[7,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[
1,1,2,1],[2,1,7,2],[8,3],[9,2],[10,1,9,1,6,1,10,1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-1]]],[[[1,1,
2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[6,1,9,1],[10,1,9,1,6,1,9,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,
-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-1,6,1,9,1,6,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
9,1,6,1],[10,1,9,-1,6,1,10,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,
2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1,9,1,6,1,9,-1,6,1,9,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,7,1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,-1,7,1,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,-1,7,1,11,1,10,-1]],[[
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1],[9,3],[10,1,7,1,10,1,7,1,10,-1,7,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,1,6,1,9,
-1,10,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,
1],[2,1,7,2],[8,3],[9,1,6,1],[10,2,9,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,1,
7,1,10,-1,11,-2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,2,10,1,7,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1],[7,1,11,-1,10,2,7,1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,2,7,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
6,1,9,1],[6,1,10,-1,9,2,6,1,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,
2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1,9,2,6,1]]],[[[1,1,2,1],[2,
1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,
1],[10,1,9,1,6,1,9,-1,10,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-1,6,1,9,1,6,1,9,-2]],[[1,1,2,1],[
2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,
9,1],[9,1,6,1,10,-1,9,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,
5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,7,1,10,-1,
11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,
1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,10,1,7,1,10,-2]],[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,
1,7,1,11,-1,10,1,11,1]]],[[[1,1,2,-2],[3,2,2,-1,1,1,2,1,1,1],[4,6]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-2,7,1,
10,2,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,
1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,
5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,7,
1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[10,-1,7,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-2,6,1,9,2,6,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,
7,2],[8,3],[9,1,6,1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,9,1,6,1,9,-1,10,-1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,
3],[9,-1,6,1,9,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,
7],[1,1,2,1],[2,1,7,2],[8,3],[9,2],[10,1,9,1,6,1,10,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,-1,6,
1,9,-1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[10,2],[11,1,10,1,7,1,11,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,-1,7,1,10,-1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,
1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[10,2,11,2]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,-2,
7,1,10,-1,7,1,10,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[
5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[9,2,10,2]],[[1,1,2,1],[2,1,1,1],[4,
1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,-2,6,1,9,-1,6,
1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1],[1,1,2,3],[
7,2],[6,1,8,1],[1,1,2,1],[2,1,1,1],[2,1,11,1],[11,1,10,1,12,-1,11,-1,12,-1],[
2,1,11,-2,10,-1,11,1],[13,1,14,1],[15,-1,9,-1,15,1,9,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1],[1,1,2,3],[7,2],[6,1,8,1],[1,1,2,1],[2,1,
1,1],[2,1,11,1],[11,1,10,1,12,-1,11,-1,12,-1],[2,1,11,-2,10,-1,11,1],[13,1,14,
1],[15,1,9,1,15,-1],[16,1,9,1,15,-1,9,1,15,1,16,1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,4,1],[4,1,3,1,5,1,3,-1,5,-1],[1,1,2,3],[7,2],[6,1,8,1],[1,1,2,1],[2,1,1,1],[
2,1,11,1],[11,1,10,1,12,-1,11,-1,12,-1],[2,1,11,-2,10,-1,11,1],[13,1,14,1],[9,
1,15,-1,9,1,15,1],[16,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,
-1],[1,1,2,3],[7,2],[6,1,8,1],[1,1,2,1],[2,1,1,1],[2,1,11,1],[11,1,10,1,12,-1,
11,-1,12,-1],[2,1,11,-2,10,-1,11,1],[13,1,14,1],[15,1,9,1,15,-2,9,-1,15,1,9,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1],[1,1,2,3],[7,
2],[6,1,8,1],[1,1,2,1],[2,1,1,1],[2,1,11,1],[11,1,10,1,12,-1,11,-1,12,-1],[2,
1,11,-2,10,-1,11,1],[13,1,14,1],[15,1,9,1,15,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,
1],[4,1,3,1,5,1,3,-1,5,-1],[1,1,2,3],[7,2],[6,1,8,1],[1,1,2,1],[2,1,1,1],[2,1,
11,1],[11,1,10,1,12,-1,11,-1,12,-1],[2,1,11,-2,10,-1,11,1],[13,1,14,1],[9,1,
15,-1,9,1,15,1],[16,1,15,1,9,1,15,-1,16,1]]],[[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,
-1]],[[1,1,2,-1],[2,1,3,-1,2,1,1,1,3,-1],[2,1,1,1],[1,1,2,-1],[5,1,6,-1,5,1,6,
-1,5,1,2,1,5,-1,6,1,2,-1,1,1,5,-1,1,1],[7,-1,1,1,7,1],[8,1,4,1,8,1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[
9,3],[7,1,10,1],[11,1,10,1,11,2,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1],[11,1,10,-1,
7,1,11,1]],[[1,1,2,1],[3,2,2,1],[4,3]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,
4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,1,9,1,10,2,9,1,
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1,1],[2,1,11,1],[11,1,10,1,12,-1,11,-1,12,-1],[2,1,11,-2,10,-1,11,1],[13,1,14,
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1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,2],[11,1,10,
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1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,-2,7,1,
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2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,1,6,1,9,1,6,1,9,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[
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6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,1,7,1,10,1,7,1,10,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,
10,1,7,1,10,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[
1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1],[10,2,6,1,9,-1,10,-1,9,-1]],[[1,1,2,1],[2,
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1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,-1,6,
1,9,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,
2,1],[8,2,2,1],[9,3],[7,1,10,1,7,1,10,1,7,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[
3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,-1,7,1,10,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1],[1,1,2,3],[7,2],[
6,1,8,1],[1,1,2,1],[2,1,1,1],[2,1,11,1],[11,1,10,1,12,-1,11,-1,12,-1],[2,1,11,
-2,10,-1,11,1],[13,1,14,1],[9,1,15,1],[15,1,9,1],[15,1,16,3,17,-2]],[[1,1,2,
1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1],[1,1,2,3],[7,2],[6,1,8,1]]],[[[
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1,2,1,3,-1,4,1,2,-1,1,1,3,-1,1,1],[5,-1,1,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
4,1],[4,1,3,1,5,1,3,-1,5,-1],[1,1,2,3],[7,2],[6,1,8,1],[1,1,2,1],[2,1,1,1],[2,
1,11,1],[11,1,10,1,12,-1,11,-1,12,-1],[2,1,11,-2,10,-1,11,1],[13,1,14,1],[9,1,
15,-1,9,1,15,1,9,1,15,1,9,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,-1,4,
-1,5,-1],[2,1,4,-2,3,-1,4,1],[6,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,
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1,15,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1],[1,1,2,3],[7,
2],[6,1,8,1],[1,1,2,1],[2,1,1,1],[2,1,11,1],[11,1,10,1,12,-1,11,-1,12,-1],[2,
1,11,-2,10,-1,11,1],[13,1,14,1],[9,1,15,1],[15,1,16,3,15,1,9,1]]],[[[1,1,2,
1],[2,2],[3,1,4,1,1,1,2,-1,3,-1,4,-1]],[[1,1,2,1],[2,3,3,2],[4,3]]],[[[2,1,1,
1],[1,1,2,2,3,-1,2,-2,3,-1],[1,1,2,-2,1,1,3,1,2,-2],[4,1,5,1]],[[1,1,2,-3,1,1,
2,1,1,1],[3,6]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7],[
1,1,2,1],[2,1,7,2],[8,3],[6,1,9,1,6,1,9,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,
-1,4,-2,2,-1,3,-1],[5,7],[1,1,2,1],[2,1,7,2],[8,3],[9,2,6,1]]],[[[1,1,2,1],[2,
1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,
1,10,1,7,1,10,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[10,2,7,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,
1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,1],[11,1,10,1,
7,1,10,-1,11,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,
6],[1,1,2,1],[8,2,2,1],[9,3],[7,1,10,-1,7,1,10,1,7,1,10,-2]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,3,1,4,1],[6,6],[1,1,2,1],[8,2,2,1],[9,3],[10,
1,7,1],[7,1,10,1,11,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,-2,2,-1,3,
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1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[5,1,8,1],[9,1,5,-1,9,-1],[8,4],[
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1,1,1,3,-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[5,1,8,
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1,4,1,5,1,3,1,4,1],[6,6]],[[1,1,2,1],[3,2,2,1],[4,3]]],[[[1,1,2,1],[2,1,1,1],[
4,1,3,-2,2,-1,4,-2,2,-1,3,-1],[5,7]],[[1,1,2,1],[2,1,3,2],[4,3]]],[[[1,1,2,
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1,2,-2,6,1],[5,-1],[8,1,5,1],[10,1,8,-1,9,-1,10,1,8,-1,9,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,4,1,3,1,4,-1,1,1,2,-2,3,1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,
-2],[4,7],[1,1,2,1],[2,1,1,1],[2,1,7,1,6,1,7,-1,1,1,2,-2,6,1],[5,1,8,1],[9,1,
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1,2,3],[7,2],[6,1,8,1],[1,1,2,1],[2,1,1,1],[2,1,11,1],[11,1,10,1,12,-1,11,-1,
12,-1],[2,1,11,-2,10,-1,11,1],[13,1,14,1],[9,1,15,1],[15,1,9,1],[17,1,16,-1],[
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5,-1],[1,1,2,3],[7,2],[6,1,8,1],[1,1,2,1],[2,1,1,1],[2,1,11,1],[11,1,10,1,12,
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5,-1],[1,1,2,3],[7,2],[6,1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,-1,
4,-1,5,-1],[2,1,4,-2,3,-1,4,1],[6,1,7,1]]],[[[1,1]],[[2,1]]]]);
ACLT( "He",
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,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,[[[2,1,1,
1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[2,2],[2,1,1,1,3,1,1,1,2,1,3,1]]],[[[1,1,
2,1],[2,1,1,1],[4,2,3,-1,2,1,4,1,3,-1,4,1],[5,3]],[[1,1,2,-3,1,1,2,-1]]]]);
AFLT( "He","He.2", [ 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19,
20, 21, 22, 23, 24, 25, 25, 26, 26, 27, 27, 28, 28, 29, 30, 31, 32, 32, 33,
33, 34, 34, 35, 36, 37, 38, 38, 39, 39, 40, 40, 41, 41, 42, 43, 44, 44, 45,
45, 46, 47, 48, 49, 49, 50, 51, 52, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61,
62, 63, 64, 64, 65, 65, 66, 66, 67, 68, 69, 69, 70, 71, 72, 72, 73, 74, 75,
76, 77, 78, 79, 80, 81, 82, 83, 83, 84, 84, 85, 85, 86, 87, 87, 88, 88, 89,
89, 90, 90, 91, 91, 92, 92, 93, 94, 94, 95, 96, 96, 97, 98, 98, 99, 100,
100, 101, 101, 102, 103, 103, 104, 104, 105, 105, 106, 107, 108, 108, 109,
110, 110, 111, 111, 112, 112, 113, 113, 114, 114, 115, 115, 116, 116, 117,
117, 118, 118, 119, 119, 120, 121, 121, 122, 122, 123, 124, 124, 125, 126,
126, 127, 127, 128, 128, 129, 129, 130, 130, 131, 132, 132, 133, 134, 134,
135, 135, 136, 136, 137, 137, 138, 139, 140, 140, 141, 141, 142, 142, 143,
144, 144, 145, 146, 147, 148, 148, 149, 149, 150, 151, 151, 152, 153, 153,
154, 155, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167,
168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 179, 180, 180,
181, 181, 182, 183, 184, 184, 185, 186, 186, 187, 187, 188, 188, 189, 189,
190, 190, 191, 192, 192, 193, 193, 194, 194, 195, 195, 196, 197, 197, 198,
199, 199, 200, 201, 202, 202, 203, 204, 205, 205, 206, 207, 208, 209, 210,
211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 220, 221, 221, 222, 222,
223, 224, 224, 225, 225, 226, 227, 227, 228, 229, 229, 230, 230, 231, 231,
232, 233, 233, 234, 234, 235, 235, 236, 236, 237, 237, 238, 238, 239, 239,
240, 240, 241, 241, 242, 242, 243, 243, 244, 244, 245, 245, 246, 246, 247,
247, 248, 248, 249, 249, 250, 251, 251, 252, 252, 253, 253, 254, 254, 255,
255, 256, 257, 257, 258, 258, 259, 259, 260, 260, 261, 261, 262, 262, 263,
263, 264, 264, 265, 265, 266, 266, 267, 268, 269, 269, 270, 271, 271, 272,
272, 273, 273, 274, 274, 275, 275, 276, 276, 277, 278, 278, 279, 279, 280,
280, 281, 281, 282, 282, 283, 283, 284, 285, 285, 286, 286, 287, 287, 288,
288, 289, 290, 290, 291, 291, 292, 293, 294, 295, 296, 297, 297, 298, 298,
299, 299, 300, 300, 301, 301, 302, 302, 303, 303, 304, 305, 305, 306, 306,
307, 307, 308, 308, 309, 310, 311, 311, 312, 312, 313, 313, 314, 314, 315,
316, 316, 317, 317, 318, 319, 319, 320, 320, 321, 321, 322, 322, 323, 323,
324, 324, 325, 325, 326, 326, 327, 327, 328, 329, 329, 330, 330, 331, 332,
332, 333, 333, 334, 334, 335, 335, 336, 337, 338, 339, 340, 341, 342, 343,
344, 345, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357,
358, 359, 360, 361, 361, 362, 362, 363, 363, 364, 364, 365, 365, 366, 366,
367, 367, 368, 369, 369, 370, 370, 371, 371, 372, 372, 373, 373, 374, 375,
375, 376, 376, 377, 377, 378, 378, 379, 379, 380, 380, 381, 382, 382, 383,
383, 384, 384, 385, 385, 386, 386, 387, 387, 388, 388, 389, 389, 390, 391,
391, 392, 392, 393, 393, 394, 395, 395, 396, 397, 397, 398, 398, 399, 399,
400, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 412,
413, 414, 415, 415, 416, 417, 418, 419, 420, 421, 422, 423, 423, 424, 424,
425, 425, 426, 426, 427, 427, 428, 428, 429, 429, 430, 430, 431, 431, 432,
432, 433, 433, 434, 434, 435, 435, 436, 437, 437, 438, 438, 439, 439, 440,
440, 441, 441, 442, 442, 443, 444, 444, 445, 445, 446, 446, 447, 447, 448,
448, 449, 449, 450, 450, 451, 451, 452, 452, 453, 453, 454, 454, 455, 455,
456, 456, 457, 457, 458, 458, 459, 459, 460, 460, 461, 461, 462, 462, 463,
463, 464, 465, 465, 466, 467, 467, 468, 468, 469, 469, 470, 470, 471, 472,
472, 473, 473, 474, 474, 475, 475, 476, 476, 477, 477, 478, 478, 479, 480,
481, 481, 482, 482, 483, 484, 485, 485, 486, 486, 487, 487, 488, 488, 489,
489, 490, 490, 491, 491, 492, 492, 493, 493, 494, 494, 495, 495, 496, 497,
497, 498, 498, 499, 499, 500, 500, 501, 502, 502, 503, 503, 504, 505, 506,
506, 507, 507, 508, 508, 509, 509, 510, 511, 511, 512, 513, 513, 514, 514,
515, 515, 516, 516, 517, 517, 518, 518, 519, 519, 520, 520, 521, 521, 522,
522, 523, 523, 524, 524, 525, 525, 526, 526, 527, 527, 528, 529, 530, 530,
531, 531, 532, 532, 533, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542,
543, 544, 545, 545, 546, 547, 548, 549, 549, 550, 551, 552, 553, 554, 555,
556, 556, 557, 558, 559, 560, 560, 561, 562, 563, 564, 565, 566, 567, 568,
569, 569, 570, 570, 571, 571, 572, 572, 573, 573, 574, 574, 575, 575, 576,
576, 577, 577, 578, 579, 579, 580, 580, 581, 581, 582, 582, 583, 583, 584,
584, 585, 585, 586, 586, 587, 587, 588, 588, 589, 589, 590, 591, 591, 592,
592, 593, 594, 594, 595, 595, 596, 596, 597, 598, 598, 599, 599, 600, 600,
601, 601, 602, 602, 603, 604, 604, 605, 605, 606, 607, 607, 608, 608, 609,
609, 610, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 621,
622, 623, 623, 624, 625, 626, 626, 627, 627, 628, 629, 630, 631, 632, 633,
633, 634, 634, 635, 635, 636, 636, 637, 637, 638, 638, 639, 639, 640, 640,
641, 641, 642, 642, 643, 643, 644, 644, 645, 646, 647, 647, 648, 648, 649,
649, 650, 650, 651, 651, 652, 652, 653, 653, 654, 654, 655, 656, 656, 657,
657, 658, 658, 659, 659, 660, 660, 661, 661, 662, 663, 663, 664, 664, 665,
665, 666, 666, 667, 667, 668, 668, 669, 669, 670, 670, 671, 671, 672, 672,
673, 673, 674, 674, 675, 675, 676, 676, 677, 677, 678, 678, 679, 679, 680,
680, 681, 681, 682, 682, 683, 683, 684, 685, 686, 686, 687, 687, 688, 689,
689, 690, 690, 691, 692, 692, 693, 693, 694, 695, 695, 696, 696, 697, 698,
698, 699, 700, 700, 701, 702, 703, 704, 705, 706, 707, 707, 708, 709, 710,
711, 712, 713, 714, 715, 716, 717, 717, 718, 718, 719, 719, 720, 721, 722,
723, 723, 724, 725, 726, 726, 727, 728, 729, 730, 730, 731, 731, 732, 732,
733, 733, 734, 734, 735, 735, 736, 736, 737, 737, 738, 738, 739, 739, 740,
740, 741, 741, 742, 742, 743, 743, 744, 744, 745, 745, 746, 746, 747, 747,
748, 748, 749, 749, 750, 750, 751, 752, 752, 753, 753, 754, 754, 755, 755,
756, 756, 757, 757, 758, 759, 759, 760, 760, 761, 762, 762, 763, 763, 764,
765, 765, 766, 766, 767, 767, 768, 768, 769, 769, 770, 770, 771, 771, 772,
773, 773, 774, 774, 775, 776, 776, 777, 777, 778, 779, 779, 780, 781, 782,
783, 784, 785, 786, 787, 788, 789, 789, 790, 790, 791, 791, 792, 793, 793,
794, 795, 796, 797, 798, 799, 799, 800, 800, 801, 801, 802, 802, 803, 803,
804, 804, 805, 805, 806, 806, 807, 807, 808, 808, 809, 809, 810, 810, 811,
811, 812, 813, 814, 814, 815, 816, 817, 818, 819, 819, 820, 820, 821, 821,
822, 822, 823, 823, 824, 824, 825, 826, 826, 827, 827, 828, 828, 829, 830,
830, 831, 831, 832, 833, 833, 834, 834, 835, 836, 837, 838, 839, 840, 840,
841, 841, 842, 842, 843, 843, 844, 844, 845, 846, 847, 847, 848, 849, 850,
850, 851, 852, 853, 854, 855, 856, 857, 857, 858, 858, 859, 859, 860, 860,
861, 861, 862, 862, 863, 863, 864, 864, 865, 865, 866, 866, 867, 867, 868,
868, 869, 869, 870, 870, 871, 871, 872, 872, 873, 873, 874, 874, 875, 875,
876, 876, 877, 877, 878, 878, 879, 879, 880, 880, 881, 882, 882, 883, 883,
884, 884, 885, 885, 886, 887, 888, 888, 889, 889, 890, 890, 891, 891, 892,
892, 893, 894, 894, 895, 895, 896, 897, 898, 899, 900, 900, 901, 901, 902,
903, 904, 905, 906, 907, 907, 908, 908, 909, 910, 910, 911, 911, 912, 912,
913, 914, 915, 915, 916, 916, 917, 917, 918, 918, 919, 919, 920, 921, 921,
922, 923, 924, 925, 926, 926, 927, 927, 928, 928, 929, 930, 931, 932, 933,
934, 935, 936, 937, 938, 938, 939, 939, 940, 940, 941, 942, 942, 943, 943,
944, 944, 945, 945, 946, 946, 947, 947, 948, 948, 949, 949, 950, 950, 951,
951, 952, 952, 953, 954, 955, 956, 957, 957, 958, 958, 959, 959, 960, 961,
962, 963, 964, 965, 966, 966, 967, 967, 968, 968, 969, 969, 970, 970, 971,
971, 972, 972, 973, 974, 974, 975, 976, 977, 977, 978, 978, 979, 980, 981,
982, 983, 984, 984, 985, 985, 986, 986, 987, 987, 988, 988, 989, 989, 990,
990, 991, 991, 992, 992, 993, 993, 994, 995, 995, 996, 996, 997, 998, 998,
999, 999, 1000, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1006, 1007, 1007,
1008, 1008, 1009, 1009, 1010, 1011, 1011, 1012, 1012, 1013, 1013, 1014,
1015, 1015, 1016, 1016, 1017, 1018, 1018, 1019, 1019, 1020, 1020, 1021,
1022, 1023, 1023, 1024, 1024, 1025, 1025, 1026, 1026, 1027, 1027, 1028,
1029, 1029, 1030, 1031, 1031, 1032, 1032, 1033, 1033, 1034, 1034, 1035,
1035, 1036, 1037, 1037, 1038, 1038, 1039, 1039, 1040, 1040, 1041, 1042,
1043, 1043, 1044, 1044, 1045, 1045, 1046, 1046, 1047, 1048, 1048, 1049,
1049, 1050, 1050, 1051, 1052, 1053, 1053, 1054, 1055, 1056, 1056, 1057,
1057, 1058, 1058, 1059, 1060, 1060, 1061, 1062, 1063, 1064, 1065, 1066 ]
);
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##
#E