GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#############################################################################
##
#W tmhs2.tom GAP table of marks library Liam Naughton
##
#Y Copyright (C) 2011, School of Maths Stats Appl Maths, NUI Galway, Ireland
##
## This file contains the table of marks of the ATLAS group $HS.2$.
##
Revision.tmhs2_tom :=
"2011-02-15 08:58:52";
SetActualLibFileName("tmhs2");
LIBTOM("HS.2",[[1],[1,2],[1,3],[1,4],[1,2,5],[1,2,6],
[1,2,7],[1,2,8],[1,2,9],[1,3,10],[1,2,3,11],
[1,2,3,12],[1,13],[1,14],[1,15],[1,3,4,16],
[1,3,4,17],[1,2,4,18],[1,3,4,19],[1,2,4,20],
[1,21],[1,2,8,22],[1,2,8,9,23],[1,2,3,8,11,12,24],
[1,2,3,10,12,25],[1,2,3,9,11,12,26],[1,2,6,8,27],
[1,2,6,8,28],[1,2,5,6,8,29],[1,2,7,8,30],
[1,2,3,5,7,12,31],[1,2,3,6,7,12,32],
[1,2,3,7,12,33],[1,2,7,34],[1,2,6,35],
[1,2,6,7,36],[1,2,3,5,9,11,37],[1,2,3,7,12,38],
[1,2,3,7,11,39],[1,2,3,6,12,40],[1,2,6,8,41],
[1,2,3,7,8,12,42],[1,2,3,6,9,11,43],[1,2,7,9,44],
[1,2,7,45],[1,2,6,46],[1,4,47],[1,2,14,48],
[1,3,13,49],[1,3,14,50],[1,2,15,51],[1,2,13,52],
[1,3,14,53],[1,54],[1,2,4,9,55],[1,3,4,10,56],
[1,2,4,8,57],[1,2,4,9,58],[1,2,4,9,20,59],
[1,2,3,4,11,19,20,60],[1,2,3,4,11,16,18,19,61],
[1,2,3,4,12,17,18,19,62],[1,2,3,4,12,16,17,20,63],
[1,2,3,4,11,17,20,64],[1,2,4,9,18,20,65],
[1,2,4,7,20,66],[1,2,4,5,20,67],[1,3,21,68],
[1,4,14,69],[1,2,8,9,23,70],
[1,2,3,8,9,11,12,23,24,26,71],
[1,2,5,6,8,22,27,29,72],[1,2,5,6,8,9,23,28,29,73],
[1,2,3,5,6,7,8,11,12,24,29,30,31,32,74],
[1,2,3,5,7,10,12,25,31,33,75],[1,2,6,8,27,76],
[1,2,7,8,30,77],[1,2,5,6,8,27,29,78],
[1,2,6,7,8,28,30,79],[1,2,5,6,7,8,28,29,30,80],
[1,2,3,6,8,11,12,24,27,40,81],
[1,2,6,8,9,22,23,28,41,82],
[1,2,3,7,8,11,12,24,30,39,83],
[1,2,6,8,9,23,27,41,84],[1,2,7,8,9,23,30,44,85],
[1,2,3,7,8,11,12,22,24,30,42,86],
[1,2,3,6,8,9,11,12,23,24,28,43,87],
[1,2,3,6,7,10,12,25,32,38,40,88],
[1,2,3,5,6,8,9,11,12,23,24,29,37,43,89],
[1,2,3,5,7,9,11,12,26,31,37,39,44,90],
[1,2,3,7,8,10,11,12,24,25,33,38,42,91],
[1,2,3,6,7,9,11,12,26,32,39,43,44,92],
[1,2,6,7,8,27,30,36,93],[1,2,6,8,27,28,35,94],
[1,2,3,6,7,12,32,33,34,36,95],
[1,2,3,5,7,12,31,34,38,96],[1,2,5,6,8,29,35,41,97],
[1,2,6,8,27,28,35,41,98],
[1,2,3,7,8,12,30,33,34,38,42,99],
[1,2,3,5,6,7,8,12,29,31,36,40,42,100],
[1,2,3,6,7,8,12,27,32,36,40,42,101],
[1,2,3,6,7,12,32,33,36,38,40,102],
[1,2,6,8,9,23,28,103],[1,2,7,8,9,23,30,104],
[1,2,6,7,8,9,23,27,30,105],
[1,2,3,6,8,11,12,24,27,28,106],
[1,2,3,6,7,8,11,12,24,28,30,107],[1,2,7,8,30,45,108],
[1,2,6,8,27,46,109],[1,2,5,6,8,29,46,110],
[1,2,6,8,27,46,111],[1,2,3,5,7,12,31,45,112],
[1,2,3,6,7,12,32,45,113],[1,2,3,7,11,12,38,39,45,114]
,[1,2,3,7,9,12,38,44,45,115],
[1,2,3,6,8,12,40,41,46,116],[1,2,7,9,34,44,45,117],
[1,2,3,7,11,34,39,45,118],[1,2,6,7,8,36,41,46,119],
[1,2,3,6,12,35,40,46,120],[1,2,6,7,35,36,46,121],
[1,3,4,19,47,122],[1,3,4,17,47,123],
[1,2,4,18,47,124],[1,2,4,18,20,47,125],
[1,3,4,16,19,47,126],[1,2,5,14,48,127],
[1,2,7,14,48,128],[1,2,7,15,51,129],
[1,3,10,14,53,130],[1,2,3,12,14,48,50,53,131],
[1,3,10,14,50,53,132],[1,2,3,12,13,49,52,133],
[1,2,7,13,52,134],[1,2,5,13,52,135],[1,4,21,136],
[1,2,3,4,5,9,11,16,37,55,137],
[1,2,3,4,6,9,11,17,43,55,138],
[1,2,4,7,9,18,44,55,139],
[1,2,3,4,7,8,12,17,42,57,140],
[1,2,4,6,8,18,41,57,141],[1,2,4,7,9,18,44,58,142],
[1,2,4,8,9,20,23,55,143],
[1,2,3,4,9,11,12,19,26,55,144],
[1,2,4,8,20,22,57,145],[1,2,3,4,10,12,20,25,56,146],
[1,2,3,4,9,11,12,16,17,20,26,59,63,64,147],
[1,2,3,4,9,11,12,16,17,18,19,20,26,60,61,62,63,65,148],
[1,2,4,7,20,34,149],[1,2,4,6,20,35,150],
[1,2,4,7,9,18,20,44,59,65,66,151],
[1,2,3,4,7,11,17,19,20,39,60,64,66,152],
[1,2,3,4,5,7,12,16,17,20,31,63,66,67,153],
[1,2,3,4,5,9,11,17,18,20,37,64,65,67,154],
[1,2,3,4,5,9,11,19,20,37,59,60,67,155],[1,13,14,156],
[1,13,15,157],[1,3,4,14,16,53,69,158],
[1,2,4,14,20,48,69,159],[1,3,4,14,17,50,69,160],
[1,2,5,6,8,22,27,29,72,76,78,161],
[1,2,6,8,27,28,35,41,94,98,162],
[1,2,3,6,7,8,12,27,30,32,33,34,36,38,40,42,93,95,99,
101,102,163],
[1,2,6,8,9,22,23,27,28,35,41,82,84,98,164],
[1,2,3,7,8,10,11,12,22,24,25,30,33,34,38,42,86,91,99,
165],[1,2,3,6,7,8,10,11,12,24,25,27,32,33,36,38,40,
42,81,88,91,101,102,166],
[1,2,3,5,6,8,9,11,12,23,24,26,28,29,37,43,70,71,73,87,
89,167],
[1,2,3,5,6,7,8,9,11,12,23,24,26,29,30,31,32,37,39,43,
44,71,74,83,85,89,90,92,168],
[1,2,6,8,9,22,23,28,41,70,82,103,169],
[1,2,3,6,8,9,11,12,23,24,26,27,28,41,43,71,84,87,103,
106,170],
[1,2,3,6,7,8,9,11,12,22,23,24,26,28,30,41,42,71,82,86,
104,107,171],
[1,2,6,7,8,9,23,27,30,41,44,70,84,85,104,105,172],
[1,2,3,6,7,8,9,11,12,23,24,26,27,28,30,39,40,43,71,81,
83,87,105,106,107,173],
[1,2,3,7,8,11,12,22,24,30,39,42,77,83,86,174],
[1,2,3,5,6,8,9,11,12,23,24,27,29,37,40,41,43,78,81,84,
89,175],
[1,2,3,6,7,8,9,11,12,22,23,24,28,30,41,42,43,44,79,82,
85,86,87,176],
[1,2,6,7,8,9,23,27,30,36,41,76,84,93,105,177],
[1,2,3,6,8,11,12,24,27,28,35,40,76,81,94,106,178],
[1,2,3,6,7,8,11,12,24,27,28,30,36,39,79,83,93,106,107,
179],
[1,2,6,7,8,9,23,27,30,36,44,77,85,93,104,105,180],
[1,2,3,6,7,8,9,11,12,23,24,27,28,30,35,43,79,87,94,
103,105,106,107,181],
[1,2,3,5,6,7,8,11,12,22,24,27,29,30,31,32,36,40,42,72,
74,81,86,93,100,101,182],
[1,2,5,6,8,9,22,23,27,28,29,35,41,72,73,82,84,94,97,
98,183],
[1,2,3,5,6,7,8,10,11,12,24,25,29,30,31,32,33,34,36,38,
40,42,74,75,88,91,95,96,99,100,102,184],
[1,2,5,6,7,8,27,28,29,30,35,36,78,80,93,94,185],
[1,2,3,5,6,7,8,11,12,24,28,29,30,31,32,74,77,79,80,
107,186],
[1,2,5,6,7,8,9,23,28,29,30,73,79,80,103,104,187],
[1,2,6,8,9,23,27,28,41,84,103,188],
[1,2,6,7,8,9,23,27,30,41,84,104,189],
[1,2,6,7,8,9,22,23,28,30,41,82,103,104,190],
[1,2,5,6,8,22,27,29,46,72,109,110,111,191],
[1,2,3,5,6,7,8,11,12,24,29,30,31,32,45,74,108,112,113,
192],[1,2,6,8,27,28,35,46,94,111,193],
[1,2,6,7,8,27,30,36,45,93,108,194],
[1,2,6,7,8,27,30,36,46,93,109,195],
[1,2,3,6,8,11,12,24,27,40,46,81,109,196],
[1,2,6,8,9,23,27,41,46,84,111,197],
[1,2,3,7,8,11,12,22,24,30,42,45,86,108,198],
[1,2,3,5,6,7,8,9,11,12,22,23,24,27,28,29,30,37,41,42,
43,72,80,82,86,89,105,106,199],
[1,2,3,5,6,7,8,9,11,12,23,24,28,29,30,37,43,44,73,80,
85,87,89,103,107,200],
[1,2,3,5,6,7,8,9,11,12,23,24,28,29,30,31,32,37,39,43,
74,80,83,87,89,104,107,201],
[1,2,6,7,8,27,28,30,35,36,41,46,93,98,111,119,121,202],
[1,2,3,6,7,8,12,27,28,32,35,36,40,42,46,94,101,109,120,
121,203],
[1,2,3,7,8,12,30,33,34,38,42,45,77,99,108,204],
[1,2,3,6,7,8,12,28,30,33,34,38,42,45,79,99,108,205],
[1,2,3,5,6,7,8,12,27,29,32,36,40,42,46,78,101,109,206],
[1,2,5,6,8,27,28,29,35,41,46,78,98,111,207],
[1,2,3,6,7,8,12,27,32,36,40,42,46,76,101,109,208],
[1,2,6,8,27,28,35,41,46,76,98,111,209],
[1,2,3,7,8,11,12,24,30,33,34,38,39,42,45,83,99,108,114,
118,210],
[1,2,3,7,8,9,12,23,30,33,34,38,42,44,45,85,99,108,115,
117,211],
[1,2,3,6,7,8,9,12,23,27,32,36,40,41,42,46,84,101,109,
116,119,212],
[1,2,3,6,8,11,12,24,27,28,35,40,41,46,81,98,111,116,
120,213],
[1,2,3,5,7,9,11,12,26,31,34,37,38,39,44,45,90,96,112,
114,115,117,118,214],
[1,2,3,5,6,7,8,9,11,12,23,24,27,28,29,30,31,32,37,43,
73,74,78,80,89,105,106,215],
[1,2,5,6,8,27,29,46,78,110,216],
[1,2,3,6,7,9,10,11,12,25,26,32,38,39,40,43,44,45,88,
92,113,114,115,217],
[1,2,3,5,6,7,8,12,29,31,35,36,40,41,42,46,97,100,110,
116,119,120,121,218],
[1,2,3,6,7,9,11,12,26,32,33,34,36,39,43,44,45,92,95,
113,117,118,219],
[1,2,3,4,12,17,18,19,47,62,122,123,124,220],
[1,2,4,7,18,47,124,221],[1,2,4,6,18,47,124,222],
[1,2,4,7,18,47,124,223],
[1,2,3,4,11,16,18,19,47,61,124,126,224],
[1,2,4,9,18,20,47,65,124,125,225],
[1,2,3,4,12,16,17,18,19,20,47,62,63,123,125,126,226],
[1,2,4,9,20,47,55,58,59,227],
[1,2,3,4,11,16,18,19,20,47,60,61,122,125,126,228],
[1,2,3,10,12,14,25,48,50,53,130,131,132,229],
[1,2,7,13,45,52,134,230],
[1,2,3,7,12,14,33,48,50,53,128,131,231],
[1,2,3,5,7,12,14,31,48,50,53,127,128,131,232],
[1,2,3,5,7,12,13,31,49,52,133,134,135,233],
[1,3,4,19,21,68,136,234],[1,2,4,8,9,23,57,58,70,235],
[1,2,4,8,9,20,23,55,59,70,143,236],
[1,2,3,4,8,9,11,12,19,20,23,24,26,55,60,71,143,144,237]
,[1,2,4,6,8,27,57,76,238],[1,2,4,7,8,30,57,77,239],
[1,2,4,7,8,9,18,20,23,30,44,55,65,85,139,143,240],
[1,2,3,4,6,8,9,11,12,17,20,23,24,28,43,55,64,87,138,
143,241],
[1,2,3,4,5,6,8,9,11,12,16,17,20,23,24,29,37,43,55,63,
89,137,138,143,242],
[1,2,3,4,5,7,9,11,12,16,18,19,26,31,37,39,44,55,61,90,
137,139,144,243],
[1,2,3,4,6,7,9,11,12,17,18,19,26,32,39,43,44,55,62,92,
138,139,144,244],
[1,2,4,6,8,9,18,20,22,23,28,41,57,65,82,141,145,245],
[1,2,3,4,7,8,11,12,17,20,22,24,30,42,57,64,86,140,145,
246],[1,2,4,5,6,8,9,20,23,28,29,55,67,73,143,247],
[1,2,4,5,6,8,20,22,27,29,57,67,72,145,248],
[1,2,3,4,5,7,10,12,20,25,31,33,56,67,75,146,249],
[1,2,4,6,7,8,9,20,23,27,30,55,66,105,143,250],
[1,2,3,4,6,12,16,17,20,35,40,46,63,120,150,251],
[1,2,3,4,7,11,17,20,34,39,45,64,118,149,252],
[1,2,4,7,9,18,20,34,44,45,65,117,149,253],
[1,2,3,4,5,7,12,20,31,34,38,67,96,149,254],
[1,2,4,5,6,8,20,29,35,41,67,97,150,255],
[1,2,4,6,7,20,35,36,46,66,121,150,256],
[1,2,3,4,5,7,9,11,12,16,17,18,19,20,26,31,37,39,44,59,
60,61,62,63,64,65,66,67,90,147,148,151,152,153,154,155,
257],[1,3,13,14,49,50,156,258],
[1,2,13,14,48,52,156,259],[1,3,13,14,49,53,156,260],
[1,2,13,15,51,52,157,261],[1,15,54,262],
[1,2,8,21,22,263],[1,3,4,10,13,16,49,56,264],
[1,2,4,9,14,18,48,55,265],[1,2,4,9,15,18,51,58,266],
[1,2,4,8,15,18,51,57,267],
[1,3,4,10,14,53,56,69,130,268],
[1,2,4,5,14,20,48,67,69,127,159,269],
[1,2,3,4,12,14,16,17,20,48,50,53,63,69,131,158,159,160,
270],[1,2,4,7,14,20,48,66,69,128,159,271],
[1,2,5,6,8,22,27,29,72,76,78,161,272],
[1,2,5,6,8,9,22,23,27,28,29,35,41,72,73,82,84,94,97,
98,162,164,183,273],
[1,2,3,5,6,7,8,10,11,12,22,24,25,27,29,30,31,32,33,34,
36,38,40,42,72,74,75,81,86,88,91,93,95,96,99,100,101,
102,163,165,166,182,184,274],
[1,2,6,7,8,9,23,27,30,36,41,44,70,76,77,84,85,93,104,
105,172,177,180,275],
[1,2,3,6,7,8,9,11,12,23,24,26,27,28,30,35,36,39,40,41,
43,71,76,79,81,83,84,87,93,94,103,105,106,107,170,173,
177,178,179,181,276],
[1,2,3,6,8,9,11,12,22,23,24,26,27,28,35,41,43,71,82,
84,87,98,103,106,164,170,188,277],
[1,2,6,7,8,9,22,23,27,28,30,35,41,44,70,82,84,85,98,
104,105,164,172,189,278],
[1,2,3,6,7,8,9,11,12,22,23,24,26,27,28,30,35,41,42,43,
71,82,84,86,87,98,103,104,106,107,164,170,171,189,190,
279],[1,2,6,7,8,9,22,23,27,28,30,35,41,44,70,82,84,
85,98,103,104,105,164,169,172,188,190,280],
[1,2,5,6,8,22,27,29,46,72,109,110,111,191,281],
[1,2,3,5,6,8,9,11,12,23,24,27,28,29,37,40,41,43,78,81,
84,89,103,175,188,282],
[1,2,3,5,6,7,8,9,11,12,23,24,27,29,30,37,40,41,43,78,
81,84,89,104,175,189,283],
[1,2,3,5,6,7,8,11,12,22,24,27,29,30,31,32,36,40,42,46,
72,74,81,86,93,100,101,109,110,111,182,191,195,196,284],
[1,2,5,6,8,9,22,23,27,28,29,35,41,46,72,73,82,84,94,
97,98,109,110,111,183,191,193,197,285],
[1,2,3,5,6,7,8,11,12,22,24,27,29,30,31,32,36,40,42,45,
72,74,81,86,93,100,101,108,112,113,182,192,194,198,286],
[1,2,5,6,8,22,27,29,46,72,76,78,109,110,111,161,191,216,
287],[1,2,5,6,7,8,27,28,29,30,35,36,45,78,80,93,94,
108,185,194,288],
[1,2,3,5,6,7,8,9,11,12,22,23,24,27,28,29,30,31,32,35,
36,37,40,41,42,43,72,73,74,76,78,80,81,82,84,86,89,
93,94,97,98,100,101,105,106,161,175,177,178,182,183,185,
199,215,289],
[1,2,6,7,8,9,23,27,28,30,41,44,46,70,84,85,103,104,105,
111,172,188,197,290],
[1,2,3,6,8,9,11,12,23,24,26,27,28,41,43,46,71,84,87,
103,106,111,170,188,197,291],
[1,2,6,7,8,9,23,27,30,41,44,46,70,84,85,104,105,111,
172,189,197,292],
[1,2,3,6,7,8,9,11,12,23,24,26,27,28,30,41,43,46,71,84,
87,103,104,106,111,170,189,197,293],
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74,76,78,80,81,82,84,86,89,93,94,97,98,100,101,105,
106,109,110,111,140,141,145,154,161,175,177,178,182,183,
185,191,199,206,207,208,209,215,216,238,245,246,248,272,
287,289,310,311,343,347,348,350,376,418,419,420,468],
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45,56,57,64,65,67,71,72,74,75,77,79,80,81,82,83,85,
86,87,88,89,90,91,92,93,95,96,99,100,101,102,104,105,
106,107,108,112,113,114,115,117,118,140,141,145,146,149,
154,163,165,166,168,171,173,174,176,179,180,182,184,186,
192,194,198,199,201,204,205,210,211,214,217,219,245,246,
248,249,252,253,254,274,286,297,298,301,304,315,320,321,
338,347,355,382,411,416,417,469],
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114,115,117,118,133,134,135,147,148,149,151,152,153,154,
155,214,230,233,252,253,254,257,336,355,365,426,427,428,
471],
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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,
118,119,120,121,161,162,163,164,165,166,167,168,169,170,
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,
213,214,215,216,217,218,219,272,273,274,275,276,277,278,
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,
321,371,372,373,374,375,376,377,378,379,380,381,382,383,
384,385,386,387,388,389,390,391,392,434,435,436,437,438,
439,440,475],
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59,65,66,70,84,85,103,104,105,111,124,139,141,142,143,
151,172,188,197,222,227,235,236,240,250,290,330,342,345,
393,441,476],
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28,29,30,31,32,37,39,40,41,43,44,47,55,57,58,59,60,
61,62,63,64,65,66,67,70,71,73,74,78,80,81,83,84,85,
87,89,90,92,103,104,105,106,107,124,126,137,138,139,141,
142,143,144,147,148,151,152,153,154,155,167,168,170,172,
173,175,200,201,215,224,227,235,236,237,240,241,242,243,
244,247,250,257,294,330,331,333,339,340,342,344,345,346,
351,352,393,399,421,441,442,477],
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58,59,65,66,70,82,84,85,98,103,104,105,124,125,139,141,
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245,250,280,330,341,342,345,354,393,422,441,443,478],
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264,268,270,360,366,368,445,479],
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93,94,98,108,110,111,119,121,134,162,185,193,194,202,
207,216,230,288,299,318,391,400,447,480],
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82,84,86,89,93,94,97,98,100,101,105,106,109,110,111,
116,119,120,121,133,134,135,161,162,164,175,177,178,182,
183,185,191,193,197,199,202,203,207,209,212,213,215,218,
233,273,285,289,296,303,310,312,317,318,373,400,446,447,
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131,139,221,265,322,452,483],
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55,61,90,124,126,127,137,139,144,221,224,243,265,327,
361,452,484],
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223,266,323,453,488],
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50,53,55,62,92,122,123,124,131,138,139,144,220,221,222,
244,265,325,367,452,489],
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47,48,50,53,55,58,59,60,61,62,63,64,65,66,67,69,90,
122,123,124,125,126,127,128,131,137,139,142,144,147,148,
151,152,153,154,155,158,159,160,220,224,225,226,227,228,
232,243,257,265,269,270,271,330,331,332,333,361,362,367,
369,399,406,430,455,456,457,490],
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28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,
45,46,57,58,64,70,71,72,73,74,75,76,77,78,79,80,81,
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99,100,101,102,103,104,105,106,107,108,109,110,111,112,
113,114,115,116,117,118,119,120,121,140,145,161,163,165,
166,167,168,169,170,171,172,173,174,175,176,177,178,179,
180,181,182,183,184,185,186,187,191,192,194,195,196,198,
199,200,201,202,203,204,205,206,208,210,211,212,213,214,
215,217,218,219,235,238,239,246,274,275,276,284,286,288,
289,294,295,297,298,301,302,304,305,307,308,309,311,313,
314,315,317,319,320,321,343,348,349,353,354,371,374,377,
381,382,383,388,389,407,418,424,438,458,467,491],
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72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,89,90,
92,93,94,97,98,100,101,103,104,105,106,107,109,110,111,
145,161,167,168,169,170,171,172,173,174,175,176,177,178,
179,180,181,182,183,185,186,187,191,199,200,201,206,207,
208,209,215,216,235,238,239,248,272,275,276,287,289,294,
299,305,310,311,314,315,316,343,353,354,371,376,378,407,
420,435,458,492],
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67,72,73,74,75,76,78,80,81,82,84,86,88,89,91,93,94,
95,96,97,98,99,100,101,102,105,106,109,110,111,116,119,
120,121,143,145,146,149,150,161,162,163,164,165,166,175,
177,178,182,183,184,185,191,193,195,196,197,199,202,203,
206,207,208,209,212,213,215,216,218,238,247,248,249,254,
255,272,273,274,281,284,285,287,289,295,296,302,303,310,
311,312,313,317,318,319,337,338,343,373,374,376,392,410,
411,420,423,434,493],
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71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,89,
90,92,93,94,97,98,100,101,103,104,105,106,107,109,110,
111,116,119,120,121,141,142,145,161,162,164,167,168,169,
170,171,172,173,174,175,176,177,178,179,180,181,182,183,
185,186,187,188,189,190,191,193,197,199,200,201,202,203,
207,209,212,213,215,218,235,238,239,245,273,275,276,277,
278,279,280,282,283,285,289,290,291,292,293,294,296,300,
303,305,306,310,312,314,315,317,318,341,342,343,350,353,
354,371,372,373,375,379,380,384,385,390,407,419,422,439,
458,465,494],
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27,28,29,30,31,32,35,36,37,39,40,41,42,43,44,46,55,
57,59,60,61,62,63,64,65,66,67,70,71,72,73,74,76,77,
78,79,80,81,82,83,84,85,86,87,89,90,92,93,94,97,98,
100,101,103,104,105,106,107,109,110,111,116,119,120,121,
137,138,139,140,141,143,144,145,147,148,150,151,152,153,
154,155,161,162,164,167,168,169,170,171,172,173,174,175,
176,177,178,179,180,181,182,183,185,186,187,188,189,190,
191,193,197,199,200,201,202,203,207,209,212,213,215,218,
236,237,240,241,242,243,244,245,246,247,248,250,251,255,
256,257,273,275,276,277,278,279,280,282,283,285,289,290,
291,292,293,294,296,300,303,305,306,310,312,314,315,317,
318,337,339,340,344,345,346,347,351,352,356,371,372,373,
375,379,380,384,385,390,408,409,410,412,413,414,415,421,
439,459,460,461,462,463,464,466,495],
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57,59,65,66,70,82,84,85,98,104,105,139,143,145,150,151,
164,172,189,236,240,250,267,278,334,337,345,401,409,496],
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267,275,334,342,401,407,497],
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261,357,358,370,432,472,498],
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358,359,360,370,425,432,433,472,473,474,499],
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58,59,60,61,62,63,64,65,66,67,70,71,73,74,78,80,81,
82,83,84,85,87,89,90,92,98,103,104,105,106,107,111,116,
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151,152,153,154,155,164,167,168,169,170,172,173,175,188,
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240,241,242,243,244,245,247,250,257,277,280,282,290,291,
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352,354,380,393,399,421,422,441,442,443,476,477,478,500],
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135,146,153,156,158,159,160,229,231,232,233,249,258,259,
260,264,268,269,270,271,335,357,359,360,366,368,369,425,
429,431,445,479,501],
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177,178,182,183,185,191,192,193,194,197,198,199,202,203,
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289,296,299,303,308,310,312,316,317,318,336,373,377,378,
391,400,436,446,447,448,480,481,502],
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145,146,149,165,174,198,204,210,239,246,252,263,297,338,
349,353,405,416,424,503],
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342,354,402,404,405,412,422,504],
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323,327,361,395,452,483,484,486,506],
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143,211,221,223,225,231,240,265,322,323,328,362,394,452,
483,485,486,507],
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124,130,131,132,138,139,144,217,220,221,222,229,244,265,
322,325,367,398,452,483,489,509],
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277,278,279,280,281,282,283,284,285,286,287,288,289,290,
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305,306,307,308,309,310,311,312,313,314,315,316,317,318,
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44,45,46,57,58,64,65,67,70,71,72,73,74,75,76,77,78,
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151,152,153,154,155,164,167,168,170,171,172,173,175,189,
190,197,200,201,207,213,215,236,237,240,241,242,243,244,
246,247,250,251,257,267,278,279,283,292,293,294,296,334,
337,339,340,344,345,346,351,352,364,379,401,409,413,415,
421,449,462,496,513],
[1,2,4,6,7,8,9,15,18,20,22,23,27,28,30,35,36,41,44,46,
51,57,58,65,70,76,77,82,84,85,93,98,103,104,105,111,
119,121,129,141,142,145,164,169,172,177,180,188,189,190,
197,202,209,235,238,239,245,266,267,275,278,280,290,292,
300,312,334,341,342,350,354,363,385,401,407,422,449,465,
497,514],
[1,2,3,5,7,12,13,14,15,31,45,48,49,50,51,52,53,112,127,
128,129,131,133,134,135,156,157,230,232,233,258,259,260,
261,336,357,358,359,360,370,425,432,433,472,473,474,498,
499,515],
[1,2,4,7,9,14,18,20,21,44,47,48,55,58,59,65,66,124,128,
136,139,142,151,221,227,265,330,362,404,452,516],
[1,2,4,7,9,15,18,20,21,44,47,51,55,58,59,65,66,124,129,
136,139,142,151,223,227,266,330,363,403,404,453,517],
[1,2,3,4,5,6,7,8,9,10,11,12,14,16,17,18,19,20,23,24,
25,26,29,30,31,32,33,34,36,37,38,39,40,42,43,44,45,
47,48,50,53,55,60,61,62,63,65,71,74,75,83,85,88,89,
90,91,92,95,96,99,100,102,108,112,113,114,115,117,118,
122,123,124,125,126,127,128,130,131,132,137,138,139,143,
144,148,168,184,192,210,211,214,217,219,220,221,222,223,
224,225,226,228,229,231,232,237,240,242,243,244,265,320,
322,323,324,325,326,327,328,329,332,335,340,361,362,367,
394,395,396,397,398,430,444,452,483,484,485,486,489,506,
507,508,509,510,518],
[1,2,3,4,5,6,7,8,9,10,11,12,13,16,17,20,22,23,24,25,
27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,46,
49,52,55,56,57,63,66,67,72,73,74,75,76,78,80,81,82,
84,86,88,89,91,93,94,95,96,97,98,99,100,101,102,105,
106,109,110,111,116,119,120,121,133,134,135,137,138,143,
145,146,149,150,153,161,162,163,164,165,166,175,177,178,
182,183,184,185,191,193,195,196,197,199,202,203,206,207,
208,209,212,213,215,216,218,233,238,242,247,248,249,250,
251,254,255,256,264,272,273,274,281,284,285,287,289,295,
296,302,303,310,311,312,313,317,318,319,337,338,343,351,
356,365,366,373,374,376,392,400,410,411,414,415,420,423,
428,429,434,446,447,448,466,481,493,519],
[1,2,3,4,5,7,9,11,12,14,16,17,18,19,20,21,26,31,37,39,
44,47,48,50,53,55,58,59,60,61,62,63,64,65,66,67,68,
90,124,126,127,128,131,136,137,139,142,144,147,148,151,
152,153,154,155,221,224,227,232,234,243,257,265,327,330,
331,333,361,362,367,399,404,430,452,484,516,520],
[1,2,4,6,7,8,9,15,18,20,22,23,27,28,30,35,36,41,44,46,
47,51,55,57,58,59,65,66,70,76,77,82,84,85,93,98,103,
104,105,111,119,121,124,139,141,142,143,145,150,151,164,
169,172,177,180,188,189,190,197,202,209,222,227,235,236,
238,239,240,245,250,256,266,267,275,278,280,290,292,300,
312,330,334,337,341,342,345,350,385,393,401,407,409,412,
414,441,454,459,465,476,496,497,521],
[1,2,3,4,5,6,7,8,9,10,11,12,13,16,17,18,19,20,22,23,
24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,
41,42,43,44,45,46,49,52,55,56,57,59,60,61,62,63,64,
65,66,67,70,71,72,73,74,75,76,77,78,79,80,81,82,83,
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,
115,116,117,118,119,120,121,133,134,135,137,138,139,140,
141,143,144,145,146,147,148,149,150,151,152,153,154,155,
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,
217,218,219,230,233,236,237,238,240,241,242,243,244,245,
246,247,248,249,250,251,252,253,254,255,256,257,264,272,
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,
315,316,317,318,319,320,321,336,337,338,339,340,343,344,
345,346,347,348,350,351,352,355,356,365,366,371,372,373,
374,375,376,377,378,379,380,381,382,383,384,385,386,387,
388,389,390,391,392,400,408,409,410,411,412,413,414,415,
416,417,418,419,420,421,423,426,427,428,429,434,435,436,
437,438,439,440,446,447,448,459,460,461,462,463,464,466,
468,469,471,475,480,481,493,495,502,511,519,522],
[1,2,4,7,9,15,18,20,34,44,45,47,51,54,58,65,117,124,
125,129,142,149,221,223,225,253,262,266,322,323,328,363,
394,453,482,488,523],
[1,2,3,4,5,6,7,8,9,10,11,12,17,18,20,21,22,23,24,25,
26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,
43,44,45,46,55,56,57,58,64,65,67,70,71,72,73,74,75,
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,
136,138,139,140,141,142,143,145,146,149,150,154,161,162,
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,
219,235,238,239,240,241,245,246,247,248,249,252,253,254,
255,263,272,273,274,275,276,277,278,279,280,281,282,283,
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,
312,313,314,315,316,317,318,319,320,321,337,338,341,342,
343,346,347,348,349,350,353,354,355,371,372,373,374,375,
376,377,378,379,380,381,382,383,384,385,386,387,388,389,
390,391,392,402,404,405,407,410,411,412,413,416,417,418,
419,420,422,423,424,434,435,436,437,438,439,440,458,463,
465,467,468,469,470,475,491,492,493,494,503,504,505,511,
512,524],
[1,2,3,4,5,6,7,8,9,11,12,15,16,17,18,19,20,22,23,24,
26,27,28,29,30,31,32,35,36,37,39,40,41,42,43,44,46,
47,51,55,57,58,59,60,61,62,63,64,65,66,67,70,71,72,
73,74,76,77,78,79,80,81,82,83,84,85,86,87,89,90,92,
93,94,97,98,100,101,103,104,105,106,107,109,110,111,116,
119,120,121,124,125,126,129,137,138,139,140,141,142,143,
144,145,147,148,150,151,152,153,154,155,161,162,164,167,
168,169,170,171,172,173,174,175,176,177,178,179,180,181,
182,183,185,186,187,188,189,190,191,193,197,199,200,201,
202,203,207,209,212,213,215,218,222,224,225,227,235,236,
237,238,239,240,241,242,243,244,245,246,247,248,250,251,
255,256,257,266,267,273,275,276,277,278,279,280,282,283,
285,289,290,291,292,293,294,296,300,303,305,306,310,312,
314,315,317,318,329,330,331,333,334,337,339,340,341,342,
343,344,345,346,347,350,351,352,353,354,356,363,364,371,
372,373,375,379,380,384,385,390,393,399,401,407,408,409,
410,412,413,414,415,419,421,422,439,441,442,443,449,454,
458,459,460,461,462,463,464,465,466,476,477,478,494,495,
496,497,500,513,514,521,525],
[1,2,4,6,7,8,9,15,18,21,23,27,30,36,41,44,47,51,57,58,
70,76,77,84,85,93,104,105,124,136,141,142,172,177,180,
222,223,235,238,239,266,267,275,324,334,342,401,402,403,
407,453,454,497,526],
[1,2,4,6,7,8,9,14,18,20,21,22,23,27,28,30,35,41,44,47,
48,55,57,58,59,65,66,69,70,82,84,85,98,103,104,105,
124,125,128,136,139,141,142,143,145,150,151,159,164,169,
172,188,190,221,225,227,235,236,240,245,250,263,265,271,
280,328,330,337,341,342,345,354,362,393,402,404,405,406,
412,422,441,443,452,455,478,485,504,516,527],
[1,2,3,4,5,6,7,8,9,11,12,14,16,17,18,19,20,21,22,23,
24,26,27,28,29,30,31,32,35,37,39,40,41,43,44,46,47,
48,50,53,55,57,58,59,60,61,62,63,64,65,66,67,68,69,
70,71,73,74,78,80,81,82,83,84,85,87,89,90,92,98,103,
104,105,106,107,111,116,120,122,123,124,125,126,127,128,
131,136,137,138,139,141,142,143,144,145,147,148,150,151,
152,153,154,155,158,159,160,164,167,168,169,170,172,173,
175,188,190,197,200,201,207,213,215,220,221,222,224,225,
226,227,228,232,234,235,236,237,240,241,242,243,244,245,
247,250,251,257,263,265,269,270,271,277,280,282,290,291,
294,296,325,327,328,329,330,331,332,333,337,339,340,341,
342,344,345,346,351,352,354,361,362,367,369,380,393,397,
399,402,404,405,406,408,412,415,421,422,430,441,442,443,
450,452,455,456,457,461,476,477,478,484,485,489,490,500,
504,508,516,520,527,528],
[1,2,3,4,6,7,8,9,12,15,17,18,19,21,23,27,30,32,33,34,
36,38,40,41,42,44,45,46,47,51,57,58,62,68,70,76,77,
84,85,93,95,99,101,102,104,105,108,109,115,116,117,119,
122,123,124,129,136,140,141,142,163,172,177,180,194,195,
204,208,211,212,220,221,222,223,234,235,238,239,266,267,
275,302,304,307,308,323,324,325,326,334,342,348,349,364,
389,396,401,402,403,407,450,451,453,454,467,487,488,497,
526,529],
[1,2,4,7,9,13,14,15,18,20,21,34,44,45,47,48,51,52,55,
58,59,65,66,117,124,128,129,134,136,139,142,149,151,156,
157,221,223,227,230,253,259,261,265,266,323,330,357,358,
362,363,365,370,403,404,427,432,452,453,472,486,488,498,
516,517,530],
[1,2,3,4,5,7,9,11,12,13,14,15,16,17,18,19,20,21,26,31,
34,37,38,39,44,45,47,48,49,50,51,52,53,55,58,59,60,
61,62,63,64,65,66,67,68,90,96,112,114,115,117,118,124,
126,127,128,129,131,133,134,135,136,137,139,142,144,147,
148,149,151,152,153,154,155,156,157,214,221,223,224,227,
230,232,233,234,243,252,253,254,257,258,259,260,261,265,
266,322,323,327,330,331,333,336,355,357,358,359,360,361,
362,363,365,367,370,395,399,403,404,425,426,427,428,430,
432,433,451,452,453,471,472,473,474,483,484,486,488,498,
499,506,515,516,517,520,530,531],
[1,2,4,6,7,8,9,15,18,20,21,22,23,27,28,30,35,36,41,44,
46,47,51,54,55,57,58,59,65,66,70,76,77,82,84,85,93,
98,103,104,105,111,119,121,124,129,136,139,141,142,143,
145,150,151,164,169,172,177,180,188,189,190,197,202,209,
222,223,227,235,236,238,239,240,245,250,256,262,263,266,
267,275,278,280,290,292,300,312,324,330,334,337,341,342,
345,350,354,363,385,393,401,402,403,404,405,407,409,412,
414,422,441,449,453,454,459,465,476,482,487,496,497,504,
514,517,521,526,532],
[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],[1,534],[1,535],
[1,2,536],[1,2,534,537],[1,2,535,538],
[1,2,534,535,539],[1,2,540],[1,2,535,541],
[1,3,534,542],[1,3,535,543],[1,3,544],
[1,3,534,535,545],[1,4,534,546],[1,4,534,547],
[1,4,535,548],[1,4,534,549],[1,4,535,550],
[1,4,535,551],[1,2,5,534,535,537,538,552],
[1,2,5,536,553],[1,2,5,535,541,554],
[1,2,5,534,535,539,540,555],[1,2,6,534,537,556],
[1,2,6,534,535,539,540,557],[1,2,6,534,536,537,558],
[1,2,6,535,541,559],[1,2,6,560],[1,2,6,561],
[1,2,6,534,535,537,538,562],[1,2,6,536,563],
[1,2,6,535,536,538,564],[1,2,6,535,541,565],
[1,2,6,535,538,566],[1,2,7,534,535,537,541,567],
[1,2,7,534,535,539,540,568],[1,2,7,535,536,541,569],
[1,2,7,535,538,541,570],[1,2,8,534,537,571],
[1,2,8,534,535,537,538,539,572],[1,2,8,536,573],
[1,2,8,540,574],[1,2,8,535,538,541,575],
[1,2,8,534,536,537,576],[1,2,8,535,536,538,577],
[1,2,8,535,541,578],[1,2,9,534,535,539,541,579],
[1,2,9,535,540,541,580],[1,2,9,534,537,540,581],
[1,2,9,534,535,537,539,582],[1,2,9,535,538,540,583],
[1,2,9,534,535,538,539,584],[1,3,10,534,542,544,585],
[1,3,10,535,543,544,586],
[1,2,3,11,534,535,539,541,543,545,587],
[1,2,3,11,534,537,540,588],
[1,2,3,11,534,535,537,539,542,545,589],
[1,2,3,11,534,535,538,539,543,545,590],
[1,2,3,11,535,540,541,591],[1,2,3,11,535,538,540,592],
[1,2,3,12,534,535,537,541,545,593],
[1,2,3,12,535,536,541,594],
[1,2,3,12,534,535,539,542,543,545,595],
[1,2,3,12,540,596],[1,2,3,12,544,597],
[1,2,3,12,535,538,541,543,598],[1,13,535,599],
[1,14,534,600],[1,14,535,601],[1,15,535,602],
[1,15,535,603],[1,3,4,16,534,535,545,547,550,604],
[1,3,4,16,535,543,548,551,605],
[1,3,4,16,534,542,546,549,606],
[1,3,4,17,535,543,548,551,607],
[1,3,4,17,534,535,545,547,550,608],
[1,3,4,17,534,535,545,546,551,609],
[1,3,4,17,534,535,545,548,549,610],
[1,2,4,18,535,541,550,551,611],
[1,2,4,18,534,535,539,547,548,612],
[1,2,4,18,534,535,539,549,550,613],
[1,2,4,18,534,537,546,547,614],
[1,3,4,19,534,535,545,547,551,615],
[1,3,4,19,534,535,545,546,550,616],
[1,3,4,19,534,542,547,549,617],
[1,3,4,19,535,543,548,550,618],
[1,2,4,20,534,535,539,546,548,619],
[1,2,4,20,534,535,539,549,551,620],[1,2,4,20,540,621],
[1,2,4,20,540,622],[1,2,4,20,534,537,547,623],
[1,2,4,20,535,541,550,624],[1,2,4,20,535,541,548,625],
[1,2,4,20,535,538,551,626],[1,21,534,627],
[1,21,535,628],[1,2,8,22,535,538,541,575,578,629],
[1,2,8,22,534,537,571,630],
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558,559,562,563,564,565,566,567,568,569,570,571,572,573,
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639,640,642,643,645,649,652,655,663,664,665,669,670,673,
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1325,1336,1338,1465,1466,1467,1468,1499,1573,1738,1739,
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191,248,281,423,534,535,537,538,541,547,551,552,560,561,
562,571,575,578,623,626,629,630,665,669,670,672,688,690,
796,797,831,849,851,1054,1056,1064,1069,1158,1159,1342,
1346,1507,1577,1905],
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42,45,57,64,77,83,86,91,99,108,114,118,140,145,165,174,
198,204,210,239,246,297,349,353,424,534,537,540,544,547,
571,574,588,596,597,622,623,630,632,645,648,653,654,657,
695,700,716,796,818,876,914,934,935,938,939,962,964,1159,
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535,539,540,542,543,544,545,546,548,549,551,555,568,585,
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703,705,715,716,774,775,793,794,813,816,826,827,829,832,
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567,568,570,579,580,581,582,583,584,587,588,589,590,591,
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612,613,614,615,616,617,618,619,620,623,624,658,659,660,
661,704,705,731,732,733,734,735,758,759,772,773,777,782,
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1165,1460,1494,1530,1531,1532,1533,1769,1770,1771,1772,
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75,127,128,130,131,132,146,159,229,231,232,249,268,269,
335,368,431,534,535,539,540,542,543,544,545,546,548,555,
568,585,586,595,596,597,600,601,619,622,656,657,703,705,
715,716,772,773,776,777,782,783,784,785,793,794,829,834,
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1161,1162,1186,1187,1456,1457,1458,1459,1460,1461,1508,
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781,1524,1912],
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776,785,1521,1522,1914],
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32,33,34,35,36,37,38,40,41,42,43,46,72,73,74,75,76,
78,80,81,82,84,86,88,89,91,93,94,95,96,97,98,99,100,
101,102,105,106,109,110,111,116,119,120,121,161,162,163,
164,165,166,175,177,178,182,183,184,185,191,193,195,196,
197,199,202,203,206,207,208,209,212,213,215,216,218,272,
273,274,281,284,285,287,289,295,296,302,303,310,311,312,
313,317,318,319,373,374,376,392,434,534,535,536,537,538,
539,540,541,543,545,552,553,554,555,556,557,558,559,560,
561,562,563,564,565,566,567,569,570,571,572,573,574,575,
576,577,578,579,580,582,583,587,588,590,591,593,594,598,
629,630,631,632,634,635,637,638,639,641,645,650,651,652,
662,663,664,665,666,667,668,669,670,671,672,673,674,677,
678,679,680,683,684,685,686,687,688,689,690,691,692,693,
694,695,697,698,701,704,706,708,710,711,712,713,714,717,
718,719,720,721,722,723,724,725,726,727,728,729,730,731,
732,736,737,738,739,740,741,742,743,744,745,746,747,748,
749,750,751,752,753,754,755,760,761,762,763,764,765,766,
767,848,849,850,851,852,853,855,856,857,862,863,864,867,
869,870,871,872,873,874,877,878,879,880,881,882,883,884,
891,892,893,894,897,899,900,901,902,906,907,908,909,918,
921,922,924,925,926,927,934,935,936,937,948,949,951,952,
953,955,957,969,970,972,973,974,975,977,978,979,980,981,
982,984,985,986,987,988,989,990,991,992,993,994,995,996,
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1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,
1063,1064,1065,1066,1067,1068,1069,1070,1071,1077,1078,
1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,
1090,1091,1092,1191,1192,1193,1194,1195,1196,1197,1198,
1199,1200,1202,1204,1206,1208,1211,1212,1213,1214,1257,
1258,1259,1261,1268,1269,1272,1273,1274,1275,1278,1288,
1291,1292,1293,1294,1295,1297,1299,1300,1301,1302,1303,
1305,1306,1308,1309,1311,1340,1341,1342,1343,1344,1345,
1346,1347,1352,1353,1354,1355,1357,1359,1361,1362,1364,
1365,1372,1373,1384,1385,1386,1387,1388,1389,1390,1391,
1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,
1403,1404,1405,1406,1407,1408,1409,1410,1411,1412,1413,
1414,1415,1416,1418,1421,1422,1426,1427,1544,1545,1547,
1548,1549,1551,1576,1577,1586,1588,1589,1590,1592,1593,
1598,1599,1601,1605,1606,1607,1609,1631,1633,1635,1636,
1647,1648,1652,1662,1663,1664,1665,1666,1667,1668,1669,
1670,1671,1674,1688,1689,1690,1691,1692,1693,1788,1789,
1793,1794,1801,1802,1834,1835,1915],
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32,33,34,35,36,37,38,40,41,42,43,46,72,73,74,75,76,
78,80,81,82,84,86,88,89,91,93,94,95,96,97,98,99,100,
101,102,105,106,109,110,111,116,119,120,121,161,162,163,
164,165,166,175,177,178,182,183,184,185,191,193,195,196,
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273,274,281,284,285,287,289,295,296,302,303,310,311,312,
313,317,318,319,373,374,376,392,434,534,535,536,537,538,
539,540,542,543,544,545,552,553,555,556,557,558,560,561,
563,564,566,568,572,573,574,576,577,581,582,583,584,585,
586,588,589,590,592,595,596,597,631,632,633,636,640,642,
643,644,646,647,648,649,653,654,655,656,657,662,663,664,
665,667,669,670,671,673,675,676,681,682,686,687,689,690,
691,693,694,696,699,700,702,703,705,707,709,715,716,732,
733,756,757,848,850,851,853,854,858,859,860,861,865,866,
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896,898,903,904,905,910,911,912,917,919,920,923,932,933,
938,939,950,954,956,958,959,961,962,963,964,971,976,983,
1028,1031,1032,1035,1037,1039,1041,1043,1191,1192,1193,
1195,1201,1203,1205,1207,1209,1210,1215,1216,1254,1255,
1256,1260,1266,1267,1270,1271,1276,1277,1279,1289,1290,
1296,1298,1304,1307,1310,1356,1358,1360,1363,1366,1367,
1374,1375,1417,1419,1420,1423,1544,1546,1550,1587,1591,
1600,1602,1603,1604,1608,1630,1632,1634,1637,1649,1650,
1651,1672,1673,1675,1790,1791,1792,1795,1800,1803,1916],
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35,36,37,39,40,41,42,43,44,46,70,71,72,73,74,76,77,
78,79,80,81,82,83,84,85,86,87,89,90,92,93,94,97,98,
100,101,103,104,105,106,107,109,110,111,161,167,168,169,
170,171,172,173,174,175,176,177,178,179,180,181,182,183,
185,186,187,191,199,200,201,206,207,208,209,215,216,272,
275,276,287,289,294,299,305,310,311,314,315,316,371,376,
378,435,534,535,536,537,538,539,540,541,542,543,545,552,
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,
581,582,583,584,587,588,589,590,591,592,593,594,595,596,
598,629,630,631,632,633,634,635,636,637,638,639,640,641,
642,643,644,645,646,647,649,650,651,652,653,654,655,658,
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,
701,702,704,705,706,707,708,710,711,717,719,720,721,725,
726,727,729,731,732,733,734,735,736,738,739,743,744,745,
746,748,749,751,752,753,754,755,756,757,758,759,761,764,
766,767,838,839,840,841,842,843,844,845,846,847,848,849,
850,851,852,853,854,855,856,857,858,859,861,863,864,865,
866,867,869,870,871,872,873,874,875,876,877,878,879,880,
881,882,883,884,885,886,887,888,889,890,891,892,893,894,
895,896,897,898,899,900,903,905,906,907,908,911,912,913,
914,915,916,919,920,921,922,926,928,929,930,931,932,933,
934,936,937,939,940,941,942,943,944,945,946,947,952,953,
954,955,956,957,958,959,960,966,968,969,970,971,974,975,
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1002,1003,1013,1015,1016,1017,1018,1019,1020,1021,1024,
1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,
1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,
1047,1048,1049,1050,1051,1052,1055,1057,1058,1061,1062,
1063,1064,1065,1067,1069,1191,1192,1193,1194,1195,1196,
1217,1218,1219,1221,1222,1223,1224,1226,1227,1230,1231,
1234,1235,1236,1238,1239,1243,1244,1245,1247,1248,1249,
1250,1251,1252,1255,1257,1260,1261,1262,1264,1265,1266,
1268,1270,1272,1275,1277,1278,1279,1280,1281,1282,1283,
1284,1285,1286,1287,1288,1289,1292,1293,1297,1298,1300,
1303,1309,1310,1311,1313,1314,1315,1316,1317,1319,1341,
1342,1343,1347,1372,1373,1374,1375,1376,1377,1378,1379,
1380,1381,1382,1383,1393,1395,1396,1397,1400,1401,1404,
1405,1416,1417,1418,1419,1420,1421,1422,1423,1544,1545,
1552,1555,1556,1558,1599,1600,1601,1603,1606,1608,1609,
1626,1628,1642,1653,1662,1663,1666,1667,1676,1678,1681,
1683,1686,1687,1782,1785,1802,1803,1808,1810,1917],
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35,36,37,39,40,41,42,43,44,46,70,71,72,73,74,76,77,
78,79,80,81,82,83,84,85,86,87,89,90,92,93,94,97,98,
100,101,103,104,105,106,107,109,110,111,161,167,168,169,
170,171,172,173,174,175,176,177,178,179,180,181,182,183,
185,186,187,191,199,200,201,206,207,208,209,215,216,272,
275,276,287,289,294,299,305,310,311,314,315,316,371,376,
378,435,534,535,536,537,538,539,540,541,544,552,553,555,
556,557,558,560,561,562,563,564,566,571,572,573,574,575,
576,577,580,588,594,597,631,632,637,638,639,640,642,643,
645,648,649,652,655,662,663,664,665,667,669,670,671,673,
674,677,681,683,686,687,688,689,690,691,693,694,703,709,
712,713,714,717,718,721,722,723,724,728,730,737,740,741,
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925,927,935,938,941,946,955,956,965,967,972,973,978,980,
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1014,1022,1023,1053,1054,1056,1059,1060,1066,1068,1070,
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1233,1237,1240,1241,1242,1246,1253,1254,1256,1258,1259,
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1392,1394,1398,1399,1402,1403,1406,1407,1544,1553,1554,
1557,1559,1598,1602,1604,1605,1607,1627,1629,1664,1665,
1668,1669,1677,1679,1680,1682,1684,1685,1783,1784,1800,
1801,1809,1811,1918],
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36,37,40,41,42,43,45,46,72,73,74,76,78,80,81,82,84,
86,89,93,94,97,98,100,101,105,106,108,109,110,111,112,
113,116,119,120,121,161,162,164,175,177,178,182,183,185,
191,192,193,194,197,198,199,202,203,207,209,212,213,215,
216,218,273,285,286,287,288,289,296,299,303,308,310,312,
316,317,318,373,377,378,391,436,534,535,536,537,538,539,
540,541,542,543,545,552,553,554,555,556,557,558,559,560,
561,563,564,565,566,568,572,573,574,575,576,577,578,580,
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635,636,639,640,642,643,644,646,647,649,653,654,655,662,
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681,682,685,686,687,689,690,691,692,693,694,696,699,700,
702,705,707,712,713,714,719,720,726,729,732,733,736,743,
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1206,1207,1255,1256,1260,1261,1266,1267,1271,1272,1277,
1278,1289,1292,1294,1295,1296,1298,1299,1300,1301,1303,
1310,1311,1340,1341,1343,1346,1347,1349,1350,1360,1363,
1366,1367,1368,1371,1374,1375,1388,1390,1408,1410,1417,
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1599,1600,1603,1604,1605,1609,1634,1637,1642,1660,1661,
1662,1664,1672,1673,1686,1687,1688,1690,1789,1790,1805,
1806,1810,1811,1919],
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36,37,40,41,42,43,45,46,72,73,74,76,78,80,81,82,84,
86,89,93,94,97,98,100,101,105,106,108,109,110,111,112,
113,116,119,120,121,161,162,164,175,177,178,182,183,185,
191,192,193,194,197,198,199,202,203,207,209,212,213,215,
216,218,273,285,286,287,288,289,296,299,303,308,310,312,
316,317,318,373,377,378,391,436,534,535,536,537,538,539,
540,541,543,544,545,552,553,554,555,556,557,558,559,560,
561,562,563,564,565,566,567,569,570,571,572,573,574,575,
576,577,578,579,580,582,583,587,588,590,591,593,594,597,
598,629,630,631,632,634,635,637,638,639,641,645,648,650,
651,652,662,663,664,665,666,667,668,669,670,671,672,673,
674,677,678,679,680,683,684,685,686,687,688,689,690,691,
692,693,694,695,697,698,701,703,704,706,708,709,710,711,
717,718,719,720,721,722,723,724,725,727,728,730,731,732,
737,738,739,740,741,742,744,745,746,747,748,749,750,751,
752,753,754,755,760,761,762,763,764,765,766,767,848,849,
850,851,852,853,855,856,857,860,863,864,867,869,870,871,
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927,934,936,937,938,952,953,955,957,970,972,973,974,975,
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1036,1038,1040,1042,1052,1053,1055,1057,1058,1059,1060,
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1073,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,
1086,1087,1088,1089,1090,1091,1092,1191,1192,1194,1195,
1197,1198,1202,1204,1206,1208,1254,1257,1258,1259,1268,
1269,1270,1273,1274,1275,1276,1279,1288,1290,1291,1293,
1297,1299,1300,1301,1302,1303,1308,1309,1341,1342,1343,
1344,1345,1348,1351,1352,1353,1361,1362,1364,1365,1369,
1370,1372,1373,1384,1385,1386,1387,1389,1391,1396,1397,
1398,1399,1404,1405,1406,1407,1409,1411,1412,1413,1414,
1415,1416,1418,1420,1423,1426,1427,1547,1548,1592,1593,
1594,1595,1600,1601,1602,1606,1607,1608,1635,1636,1651,
1652,1658,1659,1663,1665,1670,1671,1684,1685,1689,1691,
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32,33,34,35,36,37,38,40,41,42,43,46,72,73,74,75,76,
78,79,80,81,82,84,86,88,89,91,93,94,95,96,97,98,99,
100,101,102,103,104,105,106,109,110,111,116,119,120,121,
161,163,165,166,175,177,178,182,183,184,185,187,188,189,
190,191,195,196,199,202,203,206,208,212,213,215,216,218,
274,282,283,284,287,289,295,299,300,302,306,311,313,316,
317,319,374,375,378,386,387,437,534,535,536,537,538,539,
540,541,543,545,552,553,554,555,556,557,558,559,560,561,
562,563,564,565,566,567,568,569,570,571,572,573,574,575,
576,577,578,579,580,582,583,587,588,590,591,593,594,598,
629,630,631,632,634,635,637,638,639,640,641,643,645,650,
651,652,662,663,664,665,666,667,668,669,670,671,672,673,
674,675,676,677,678,679,680,681,683,684,685,686,687,688,
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729,730,731,732,736,737,738,739,740,741,742,743,744,745,
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857,858,862,863,864,867,869,871,873,877,880,881,882,883,
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953,955,957,969,970,972,973,974,977,979,981,982,984,985,
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1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1018,
1020,1022,1023,1025,1029,1030,1033,1034,1036,1038,1040,
1042,1052,1058,1063,1064,1066,1069,1071,1192,1193,1194,
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1326,1328,1332,1333,1334,1338,1339,1340,1342,1343,1344,
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1549,1551,1579,1583,1586,1589,1600,1601,1604,1605,1606,
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1792,1794,1796,1799,1808,1811,1921],
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78,79,80,81,82,84,86,88,89,91,93,94,95,96,97,98,99,
100,101,102,103,104,105,106,109,110,111,116,119,120,121,
161,163,165,166,175,177,178,182,183,184,185,187,188,189,
190,191,195,196,199,202,203,206,208,212,213,215,216,218,
274,282,283,284,287,289,295,299,300,302,306,311,313,316,
317,319,374,375,378,386,387,437,534,535,536,537,538,539,
540,541,542,543,544,545,552,553,554,555,556,557,558,559,
560,561,562,563,564,565,566,567,568,569,570,571,572,573,
574,575,576,577,578,581,582,583,584,585,586,587,588,589,
590,592,593,594,595,596,597,598,629,631,632,633,636,637,
638,640,642,643,644,646,647,648,649,651,652,653,654,655,
656,657,662,663,664,665,666,667,668,669,670,671,673,674,
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691,692,693,694,695,696,697,698,699,700,702,703,704,705,
706,707,708,709,710,711,712,713,714,715,716,717,718,719,
720,721,722,723,724,725,726,727,728,729,730,732,733,736,
737,738,739,740,741,742,743,744,745,746,747,748,749,750,
751,752,753,756,757,760,761,762,763,764,765,766,767,848,
850,851,852,853,854,857,858,859,860,861,862,864,865,866,
867,868,869,870,872,873,874,877,878,879,880,881,883,884,
886,888,889,890,893,895,896,898,899,900,901,902,903,904,
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1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1014,
1017,1019,1022,1023,1026,1027,1028,1031,1032,1035,1037,
1039,1041,1043,1052,1053,1054,1055,1056,1057,1058,1059,
1060,1061,1062,1063,1065,1067,1068,1070,1077,1078,1079,
1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,
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1214,1215,1216,1254,1255,1258,1259,1260,1261,1266,1269,
1272,1273,1274,1276,1277,1278,1289,1290,1291,1292,1293,
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1336,1337,1341,1343,1345,1346,1347,1354,1355,1356,1357,
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1393,1394,1395,1400,1401,1402,1403,1408,1409,1410,1411,
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1602,1603,1607,1609,1630,1631,1632,1633,1642,1643,1646,
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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,
118,119,120,121,161,163,165,166,167,168,169,170,171,172,
173,174,175,176,177,178,179,180,181,182,183,184,185,186,
187,191,192,194,195,196,198,199,200,201,202,203,204,205,
206,208,210,211,212,213,214,215,217,218,219,274,275,276,
284,286,288,289,294,295,297,298,301,302,304,305,307,308,
309,311,313,314,315,317,319,320,321,371,374,377,381,382,
383,388,389,438,534,535,536,537,538,539,540,541,542,543,
544,545,552,553,554,555,556,557,558,559,560,561,562,563,
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,
592,593,594,595,596,597,598,629,630,631,632,633,634,635,
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,
706,707,708,709,710,711,712,713,714,715,716,717,721,723,
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756,757,758,759,838,839,840,841,842,843,844,845,846,847,
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963,964,965,966,967,968,969,970,971,972,973,974,976,977,
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1011,1013,1015,1016,1017,1018,1019,1020,1021,1024,1025,
1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,
1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,
1048,1049,1050,1051,1063,1064,1066,1069,1071,1072,1073,
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1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,
1223,1224,1226,1227,1230,1231,1234,1235,1236,1238,1239,
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1255,1257,1260,1262,1263,1264,1265,1266,1268,1275,1276,
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1305,1306,1307,1309,1310,1312,1313,1314,1315,1316,1317,
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1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,
1379,1380,1381,1382,1383,1385,1386,1412,1415,1416,1417,
1418,1419,1424,1425,1428,1429,1549,1550,1551,1552,1556,
1586,1587,1589,1594,1595,1596,1597,1602,1603,1605,1606,
1626,1628,1630,1632,1638,1639,1640,1641,1653,1666,1669,
1675,1676,1678,1680,1681,1682,1683,1689,1690,1694,1695,
1696,1697,1782,1784,1794,1795,1804,1806,1816,1817,1818,
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31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,70,
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,
118,119,120,121,161,163,165,166,167,168,169,170,171,172,
173,174,175,176,177,178,179,180,181,182,183,184,185,186,
187,191,192,194,195,196,198,199,200,201,202,203,204,205,
206,208,210,211,212,213,214,215,217,218,219,274,275,276,
284,286,288,289,294,295,297,298,301,302,304,305,307,308,
309,311,313,314,315,317,319,320,321,371,374,377,381,382,
383,388,389,438,534,535,536,537,538,539,540,541,543,545,
552,553,554,556,558,559,560,561,562,563,564,565,566,567,
569,570,571,572,573,574,575,576,577,578,580,587,588,590,
593,594,598,629,631,637,638,639,640,642,643,645,649,651,
652,655,663,664,665,666,668,669,670,673,674,677,681,683,
685,686,688,689,690,691,692,694,697,698,704,706,708,710,
711,712,713,714,717,718,719,720,721,722,723,724,725,726,
727,728,729,730,736,737,738,739,740,741,742,743,744,745,
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1270,1271,1272,1273,1274,1278,1279,1291,1292,1293,1295,
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1345,1346,1354,1355,1357,1359,1384,1387,1388,1389,1390,
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1410,1411,1413,1414,1426,1427,1549,1553,1554,1555,1557,
1558,1559,1588,1604,1607,1608,1609,1627,1629,1631,1633,
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35,36,37,39,40,41,42,43,44,46,70,71,72,73,74,76,77,
78,79,80,81,82,83,84,85,86,87,89,90,92,93,94,97,98,
100,101,103,104,105,106,107,109,110,111,116,119,120,121,
161,162,164,167,168,169,170,171,172,173,174,175,176,177,
178,179,180,181,182,183,185,186,187,188,189,190,191,193,
197,199,200,201,202,203,207,209,212,213,215,218,273,275,
276,277,278,279,280,282,283,285,289,290,291,292,293,294,
296,300,303,305,306,310,312,314,315,317,318,371,372,373,
375,379,380,384,385,390,439,535,538,540,541,544,554,559,
560,561,565,574,575,578,580,583,597,629,632,635,639,648,
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76,77,78,79,80,81,82,83,84,85,86,87,89,90,92,93,94,
97,98,100,101,103,104,105,106,107,109,110,111,116,119,
120,121,161,162,164,167,168,169,170,171,172,173,174,175,
176,177,178,179,180,181,182,183,185,186,187,188,189,190,
191,193,197,199,200,201,202,203,207,209,212,213,215,218,
273,275,276,277,278,279,280,282,283,285,289,290,291,292,
293,294,296,300,303,305,306,310,312,314,315,317,318,371,
372,373,375,379,380,384,385,390,439,534,535,536,537,538,
539,540,541,542,543,545,552,553,554,555,556,557,558,559,
560,561,562,563,564,565,566,567,568,569,570,571,572,573,
574,575,576,577,578,579,580,581,582,583,584,587,588,589,
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1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,
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1051,1053,1055,1057,1059,1060,1061,1062,1064,1065,1066,
1067,1068,1069,1070,1071,1077,1078,1079,1080,1081,1082,
1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1191,
1192,1194,1197,1198,1201,1202,1203,1204,1205,1206,1207,
1208,1217,1218,1219,1221,1222,1223,1224,1225,1226,1227,
1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,
1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,
1250,1251,1252,1255,1256,1257,1258,1259,1260,1262,1264,
1265,1266,1267,1268,1269,1271,1273,1274,1275,1277,1280,
1281,1282,1283,1284,1285,1286,1287,1288,1289,1291,1293,
1296,1297,1298,1299,1300,1301,1302,1303,1308,1309,1310,
1313,1314,1315,1316,1317,1318,1319,1320,1321,1322,1323,
1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,
1335,1336,1337,1338,1339,1341,1342,1344,1345,1352,1353,
1360,1361,1362,1363,1364,1365,1366,1367,1372,1373,1374,
1375,1376,1377,1378,1379,1380,1381,1382,1383,1384,1385,
1386,1387,1389,1391,1396,1397,1398,1399,1404,1405,1406,
1407,1409,1411,1412,1413,1414,1415,1416,1417,1418,1419,
1426,1427,1546,1547,1548,1552,1553,1554,1556,1557,1559,
1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,
1571,1572,1573,1574,1575,1578,1579,1581,1582,1583,1585,
1591,1592,1593,1603,1604,1606,1607,1610,1611,1612,1613,
1614,1615,1616,1617,1618,1619,1620,1621,1622,1623,1624,
1625,1626,1627,1628,1629,1634,1635,1636,1637,1643,1644,
1645,1646,1652,1653,1654,1655,1656,1657,1663,1665,1670,
1671,1672,1673,1676,1677,1678,1679,1681,1683,1689,1691,
1692,1782,1783,1786,1787,1788,1790,1797,1799,1812,1813,
1814,1815,1820,1821,1822,1823,1832,1833,1926],
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84,86,89,93,94,97,98,100,101,103,104,105,106,108,109,
110,111,112,113,161,175,177,178,182,183,185,187,188,189,
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555,556,557,558,559,560,561,562,563,564,565,566,567,568,
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1057,1058,1061,1062,1063,1064,1065,1067,1069,1072,1073,
1076,1191,1192,1193,1194,1195,1196,1254,1256,1257,1261,
1267,1268,1271,1272,1275,1276,1278,1288,1290,1292,1293,
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1326,1328,1332,1333,1334,1338,1339,1341,1342,1343,1347,
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1401,1404,1405,1416,1418,1421,1422,1544,1545,1579,1580,
1583,1584,1594,1595,1599,1601,1602,1604,1606,1609,1644,
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283,286,287,288,289,300,306,308,310,311,375,376,377,440,
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556,557,558,560,561,562,563,564,566,567,568,570,571,572,
573,574,575,576,577,581,582,583,584,588,589,590,592,595,
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1269,1270,1273,1274,1277,1279,1289,1291,1294,1295,1298,
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126,137,138,143,144,147,155,167,227,235,236,237,241,242,
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333,339,352,393,442,534,535,536,537,538,539,540,541,543,
545,546,547,548,550,554,555,557,565,572,573,574,575,577,
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323,324,325,326,327,328,329,332,394,395,396,397,398,444,
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550,551,556,557,561,565,567,568,579,580,581,582,587,588,
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613,614,615,616,617,618,619,620,623,624,660,661,707,709,
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806,808,809,810,811,812,813,815,821,823,965,968,982,983,
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556,558,559,560,571,576,593,594,608,609,611,614,615,616,
627,628,737,738,744,746,761,762,795,796,811,833,1078,
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582,611,614,759,768,770,773,788,789,790,791,1099,1100,
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1006,1160,1193,1220,1253,1254,1263,1276,1290,1294,1295,
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1571,1572,1575,1655,1657,1678,1679,1723,1725,1727,1728,
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144,145,150,155,162,164,167,169,170,171,172,176,181,183,
187,188,189,190,199,200,236,237,247,248,255,273,277,278,
279,280,306,314,337,352,372,408,409,410,464,534,535,536,
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556,557,558,562,563,564,566,567,568,569,570,571,572,573,
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1323,1325,1327,1328,1330,1331,1333,1336,1337,1338,1339,
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1654,1656,1676,1677,1722,1724,1726,1729,1759,1787,1864,
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142,164,169,172,177,180,188,189,190,197,202,209,235,238,
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562,563,564,566,567,568,569,570,571,572,573,574,575,576,
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635,636,637,638,639,640,641,642,643,644,662,664,667,668,
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1032,1033,1034,1035,1064,1066,1067,1070,1081,1082,1090,
1092,1142,1144,1201,1206,1207,1208,1225,1226,1239,1242,
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1323,1326,1327,1328,1331,1334,1335,1337,1339,1363,1364,
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1481,1552,1554,1566,1567,1574,1575,1612,1613,1620,1621,
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638,639,640,641,642,643,644,662,663,664,667,668,670,671,
672,674,676,677,684,695,696,697,698,699,700,701,702,717,
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760,761,763,764,795,796,799,838,839,840,841,869,870,871,
875,876,908,909,910,911,917,918,919,920,921,925,926,928,
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1240,1241,1243,1244,1245,1266,1267,1268,1269,1282,1283,
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72,73,74,76,78,80,81,82,84,86,89,93,94,97,98,100,101,
105,106,109,110,111,116,119,120,121,137,138,143,145,150,
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1344,1345,1352,1353,1361,1362,1364,1365,1372,1373,1384,
1385,1386,1387,1389,1391,1396,1397,1398,1399,1404,1405,
1406,1407,1409,1411,1412,1413,1414,1415,1416,1418,1426,
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106,109,110,111,116,119,120,121,137,138,143,145,150,153,
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1375,1382,1383,1498,1499,1500,1501,1506,1507,1508,1550,
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893,894,897,899,901,902,906,907,908,909,918,921,922,924,
925,926,927,934,936,937,952,953,955,957,970,972,973,974,
975,977,978,979,980,985,986,987,988,989,990,991,992,993,
994,995,996,998,999,1001,1003,1005,1007,1029,1030,1033,
1034,1036,1038,1040,1042,1053,1055,1057,1059,1060,1061,
1062,1064,1065,1066,1067,1068,1069,1070,1071,1077,1078,
1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,
1090,1091,1092,1122,1124,1125,1126,1191,1192,1194,1197,
1198,1202,1204,1206,1208,1257,1258,1259,1268,1269,1273,
1274,1275,1288,1291,1293,1297,1299,1300,1301,1302,1303,
1308,1309,1341,1342,1344,1345,1352,1353,1361,1362,1364,
1365,1372,1373,1384,1385,1386,1387,1389,1391,1396,1397,
1398,1399,1404,1405,1406,1407,1409,1411,1412,1413,1414,
1415,1416,1418,1426,1427,1462,1547,1548,1592,1593,1606,
1607,1635,1636,1652,1663,1665,1670,1671,1689,1691,1692,
1788,1847,1848,1941,1942,1943,1944,1996],
[1,2,3,5,6,7,8,9,11,12,13,22,23,24,27,28,29,30,31,32,
35,36,37,40,41,42,43,46,49,52,72,73,74,76,78,80,81,
82,84,86,89,93,94,97,98,100,101,105,106,109,110,111,
116,119,120,121,133,134,135,161,162,164,175,177,178,182,
183,185,191,193,197,199,202,203,207,209,212,213,215,218,
233,273,285,289,296,303,310,312,317,318,373,400,446,447,
448,481,544,560,561,597,648,665,669,670,690,703,709,774,
775,851,860,873,883,904,938,1123,1195,1254,1270,1276,1279,
1290,1463,1602,1608,1651,1791,1940,1997],
[1,2,4,9,15,18,20,51,54,58,65,262,266,482,535,540,541,
548,580,602,603,621,625,778,786,800,822,1526,1998],
[1,2,3,4,5,7,9,11,12,14,16,18,19,26,31,37,39,44,47,48,
55,61,90,124,126,127,137,139,144,221,224,243,265,327,
361,452,484,534,535,537,538,539,540,541,542,543,545,546,
547,548,549,550,551,552,554,555,567,568,570,579,580,581,
582,583,584,587,588,589,590,591,592,593,595,596,598,600,
601,604,605,606,611,612,613,614,615,616,617,618,658,659,
660,661,704,705,731,732,733,734,735,758,759,768,769,770,
771,772,773,787,788,789,790,791,792,809,810,960,1099,
1100,1101,1102,1107,1108,1109,1110,1111,1129,1130,1131,
1136,1137,1138,1139,1153,1154,1155,1156,1434,1435,1440,
1441,1442,1443,1494,1495,1530,1531,1532,1533,1706,1769,
1770,1947,1948,1999],
[1,2,4,7,8,9,14,18,20,23,30,44,47,48,55,65,85,124,125,
128,139,143,221,225,240,265,328,362,452,485,534,535,537,
538,539,540,541,546,547,548,549,550,551,567,568,570,572,
574,575,579,580,581,582,583,584,600,601,611,612,613,614,
619,620,623,624,633,634,636,639,696,698,758,759,768,769,
770,771,772,773,787,788,789,790,791,792,821,823,929,1099,
1100,1101,1102,1103,1104,1105,1106,1112,1136,1137,1138,
1139,1146,1147,1148,1152,1434,1435,1444,1445,1446,1447,
1482,1485,1530,1531,1532,1533,1707,1771,1772,1947,1948,2000
],[1,2,4,6,7,8,15,18,36,41,46,47,51,57,119,124,129,
141,222,223,267,324,454,487,534,535,536,537,541,546,547,
556,558,559,561,567,569,571,576,602,603,614,723,725,744,
749,761,763,768,778,779,795,796,1083,1100,1113,1143,1436,
1437,1534,1699,1949,1950,2001],
[1,2,3,4,6,7,9,11,12,14,17,18,19,26,32,39,43,44,47,48,
50,53,55,62,92,122,123,124,131,138,139,144,220,221,222,
244,265,325,367,452,489,544,560,597,709,713,776,967,1097,
1116,1430,1701,2002],
[1,2,3,4,6,7,9,11,12,14,17,18,19,26,32,39,43,44,47,48,
50,53,55,62,92,122,123,124,131,138,139,144,220,221,222,
244,265,325,367,452,489,544,561,597,709,714,783,785,965,
1117,1436,1702,2003],
[1,2,3,4,6,7,9,11,12,14,17,18,19,26,32,39,43,44,47,48,
50,53,55,62,92,122,123,124,131,138,139,144,220,221,222,
244,265,325,367,452,489,534,535,537,539,540,541,542,543,
545,546,547,550,551,556,557,565,567,568,579,580,581,582,
587,588,589,591,593,595,596,608,609,611,614,615,616,660,
661,707,711,735,754,757,759,768,770,773,788,789,790,791,
811,968,1093,1096,1099,1100,1119,1134,1135,1137,1138,1155,
1156,1431,1434,1437,1439,1496,1531,1532,1700,1777,1947,2004
],[1,2,3,4,6,7,9,11,12,14,17,18,19,26,32,39,43,44,
47,48,50,53,55,62,92,122,123,124,131,138,139,144,220,
221,222,244,265,325,367,452,489,534,535,538,539,540,541,
542,543,545,547,548,549,550,557,565,566,568,570,579,580,
583,584,587,590,591,592,595,596,598,600,601,608,610,612,
613,617,618,658,659,707,710,734,754,756,758,769,771,772,
777,782,784,787,788,790,792,812,966,1094,1095,1098,1101,
1102,1118,1133,1134,1136,1139,1153,1154,1432,1433,1435,
1438,1497,1530,1533,1703,1776,1948,2005],
[1,2,3,4,5,7,9,11,12,14,16,17,18,19,20,26,31,37,39,44,
47,48,50,53,55,58,59,60,61,62,63,64,65,66,67,69,90,
122,123,124,125,126,127,128,131,137,139,142,144,147,148,
151,152,153,154,155,158,159,160,220,224,225,226,227,228,
232,243,257,265,269,270,271,330,331,332,333,361,362,367,
369,399,406,430,455,456,457,490,534,535,537,538,539,540,
541,542,543,545,546,547,548,549,550,551,552,554,555,567,
568,570,579,580,581,582,583,584,587,588,589,590,591,592,
593,595,596,598,600,601,604,605,606,607,608,609,610,611,
612,613,614,615,616,617,618,619,620,621,622,623,624,625,
626,658,659,660,661,704,705,731,732,733,734,735,758,759,
768,769,770,771,772,773,777,782,784,787,788,789,790,799,
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,
828,829,830,831,832,834,835,836,837,960,1093,1094,1095,
1096,1098,1099,1100,1101,1103,1104,1105,1106,1107,1108,
1109,1110,1111,1112,1118,1119,1130,1131,1136,1137,1144,
1153,1155,1163,1164,1165,1166,1171,1172,1173,1174,1175,
1176,1177,1178,1179,1180,1183,1184,1185,1186,1187,1188,
1189,1190,1431,1433,1440,1441,1444,1447,1448,1449,1450,
1451,1452,1453,1454,1455,1460,1494,1519,1530,1531,1532,
1533,1538,1539,1540,1541,1542,1543,1710,1711,1712,1713,
1715,1716,1717,1769,1770,1771,1772,1776,1777,1780,1846,
1855,1856,1857,1858,1909,1951,1952,1953,1954,1955,1956,2006
],[1,2,3,4,5,6,7,8,9,10,11,12,17,20,22,23,24,25,26,
27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,
44,45,46,57,58,64,70,71,72,73,74,75,76,77,78,79,80,
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,
112,113,114,115,116,117,118,119,120,121,140,145,161,163,
165,166,167,168,169,170,171,172,173,174,175,176,177,178,
179,180,181,182,183,184,185,186,187,191,192,194,195,196,
198,199,200,201,202,203,204,205,206,208,210,211,212,213,
214,215,217,218,219,235,238,239,246,274,275,276,284,286,
288,289,294,295,297,298,301,302,304,305,307,308,309,311,
313,314,315,317,319,320,321,343,348,349,353,354,371,374,
377,381,382,383,388,389,407,418,424,438,458,467,491,534,
535,536,537,538,539,540,541,542,543,544,545,547,552,553,
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,
596,597,598,622,623,629,630,631,632,633,634,635,636,637,
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,
708,709,710,711,712,713,714,715,716,717,721,723,724,725,
726,727,728,729,730,731,732,733,734,735,736,737,738,739,
740,741,742,743,744,745,748,751,752,753,754,755,756,757,
758,759,796,799,818,838,839,840,841,842,843,844,845,846,
847,848,849,850,851,852,853,854,855,856,857,858,859,860,
861,862,863,864,865,866,867,868,869,871,875,876,877,880,
881,882,885,886,887,888,889,890,891,892,893,894,895,896,
897,898,899,900,901,902,903,904,905,906,907,908,911,912,
913,914,915,916,919,920,921,926,928,929,930,931,932,933,
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,
962,963,964,965,966,967,968,969,970,971,972,973,974,976,
977,979,981,982,983,984,985,990,993,994,995,996,997,998,
999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,
1011,1013,1015,1016,1017,1018,1019,1020,1021,1024,1025,
1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,
1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,
1048,1049,1050,1051,1063,1064,1066,1069,1071,1072,1073,
1074,1075,1076,1159,1160,1192,1193,1194,1199,1200,1209,
1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,
1221,1222,1223,1224,1226,1227,1230,1231,1234,1235,1236,
1238,1239,1243,1244,1245,1247,1248,1249,1250,1251,1252,
1253,1254,1255,1257,1260,1262,1263,1264,1265,1266,1268,
1275,1276,1277,1280,1281,1282,1283,1284,1285,1286,1287,
1288,1289,1290,1291,1292,1293,1294,1295,1297,1298,1299,
1303,1304,1305,1306,1307,1309,1310,1312,1313,1314,1315,
1316,1317,1319,1340,1342,1344,1347,1348,1349,1350,1351,
1356,1358,1368,1369,1370,1371,1372,1373,1374,1375,1376,
1377,1378,1379,1380,1381,1382,1383,1385,1386,1412,1415,
1416,1417,1418,1419,1424,1425,1428,1429,1466,1467,1479,
1481,1500,1549,1550,1551,1552,1556,1586,1587,1589,1594,
1595,1596,1597,1602,1603,1605,1606,1626,1628,1630,1632,
1638,1639,1640,1641,1653,1666,1669,1675,1676,1678,1680,
1681,1682,1683,1689,1690,1694,1695,1696,1697,1742,1745,
1761,1762,1764,1782,1784,1794,1795,1804,1806,1816,1817,
1818,1819,1859,1897,1906,1923,1957,1958,2007],
[1,2,3,4,5,6,7,8,9,10,11,12,17,20,22,23,24,25,26,27,
28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,
45,46,57,58,64,70,71,72,73,74,75,76,77,78,79,80,81,
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,
113,114,115,116,117,118,119,120,121,140,145,161,163,165,
166,167,168,169,170,171,172,173,174,175,176,177,178,179,
180,181,182,183,184,185,186,187,191,192,194,195,196,198,
199,200,201,202,203,204,205,206,208,210,211,212,213,214,
215,217,218,219,235,238,239,246,274,275,276,284,286,288,
289,294,295,297,298,301,302,304,305,307,308,309,311,313,
314,315,317,319,320,321,343,348,349,353,354,371,374,377,
381,382,383,388,389,407,418,424,438,458,467,491,534,535,
536,537,538,539,540,541,543,545,546,548,551,552,553,554,
556,558,559,560,561,562,563,564,565,566,567,569,570,571,
572,573,574,575,576,577,578,580,587,588,590,593,594,598,
607,609,619,626,629,631,637,638,639,640,642,643,645,649,
651,652,655,663,664,665,666,668,669,670,673,674,677,681,
683,685,686,688,689,690,691,692,694,697,698,704,706,708,
710,711,712,713,714,717,718,719,720,721,722,723,724,725,
726,727,728,729,730,736,737,738,739,740,741,742,743,744,
745,746,747,748,749,750,751,752,753,760,761,762,763,764,
765,766,767,795,797,798,800,817,839,840,842,845,850,851,
852,857,858,862,864,867,870,872,873,874,878,879,883,884,
899,900,901,902,909,910,917,918,922,923,924,925,927,937,
941,946,948,949,951,955,956,969,970,972,973,975,978,980,
981,982,984,985,986,987,988,989,991,992,996,997,998,999,
1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,
1011,1012,1014,1022,1023,1052,1053,1054,1055,1056,1057,
1058,1059,1060,1061,1062,1065,1067,1068,1070,1077,1078,
1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,
1090,1091,1092,1140,1141,1157,1158,1191,1195,1196,1199,
1200,1213,1214,1218,1225,1228,1229,1232,1233,1237,1240,
1241,1242,1246,1256,1258,1259,1261,1267,1269,1270,1271,
1272,1273,1274,1278,1279,1291,1292,1293,1295,1296,1300,
1301,1302,1305,1306,1308,1311,1318,1341,1343,1345,1346,
1354,1355,1357,1359,1384,1387,1388,1389,1390,1391,1392,
1393,1394,1395,1400,1401,1402,1403,1408,1409,1410,1411,
1413,1414,1426,1427,1465,1468,1477,1478,1480,1501,1549,
1553,1554,1555,1557,1558,1559,1588,1604,1607,1608,1609,
1627,1629,1631,1633,1647,1648,1649,1650,1658,1659,1660,
1661,1667,1668,1674,1677,1679,1688,1691,1693,1743,1744,
1753,1754,1763,1783,1785,1792,1793,1805,1807,1828,1829,
1830,1831,1860,1861,1862,1898,1924,1959,1960,1977,1978,2008
],[1,2,3,4,5,6,7,8,9,11,12,20,22,23,24,26,27,28,29,
30,31,32,35,36,37,39,40,41,42,43,44,46,57,58,67,70,
71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,89,
90,92,93,94,97,98,100,101,103,104,105,106,107,109,110,
111,145,161,167,168,169,170,171,172,173,174,175,176,177,
178,179,180,181,182,183,185,186,187,191,199,200,201,206,
207,208,209,215,216,235,238,239,248,272,275,276,287,289,
294,299,305,310,311,314,315,316,343,353,354,371,376,378,
407,420,435,458,492,534,535,536,537,538,539,540,541,542,
543,545,547,551,552,553,554,555,556,557,558,559,560,561,
562,563,564,565,566,567,568,569,570,571,572,573,574,575,
576,577,578,579,580,581,582,583,584,587,588,589,590,591,
592,593,594,595,596,598,623,626,629,630,631,632,633,634,
635,636,637,638,639,640,641,642,643,644,645,646,647,649,
650,651,652,653,654,655,658,659,660,661,662,663,664,665,
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,
694,695,696,697,698,699,700,701,702,704,705,706,707,708,
710,711,717,719,720,721,725,726,727,729,731,732,733,734,
735,736,738,739,743,744,745,746,748,749,751,752,753,754,
755,756,757,758,759,761,764,766,767,796,797,799,831,838,
839,840,841,842,843,844,845,846,847,848,849,850,851,852,
853,854,855,856,857,858,859,861,863,864,865,866,867,869,
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,
898,899,900,903,905,906,907,908,911,912,913,914,915,916,
919,920,921,922,926,928,929,930,931,932,933,934,936,937,
939,940,941,942,943,944,945,946,947,952,953,954,955,956,
957,958,959,960,966,968,969,970,971,974,975,976,977,979,
985,986,988,990,991,993,997,998,1000,1001,1002,1003,1013,
1015,1016,1017,1018,1019,1020,1021,1024,1025,1026,1027,
1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,
1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,
1050,1051,1052,1055,1057,1058,1061,1062,1063,1064,1065,
1067,1069,1158,1159,1191,1192,1193,1194,1195,1196,1217,
1218,1219,1221,1222,1223,1224,1226,1227,1230,1231,1234,
1235,1236,1238,1239,1243,1244,1245,1247,1248,1249,1250,
1251,1252,1255,1257,1260,1261,1262,1264,1265,1266,1268,
1270,1272,1275,1277,1278,1279,1280,1281,1282,1283,1284,
1285,1286,1287,1288,1289,1292,1293,1297,1298,1300,1303,
1309,1310,1311,1313,1314,1315,1316,1317,1319,1341,1342,
1343,1347,1372,1373,1374,1375,1376,1377,1378,1379,1380,
1381,1382,1383,1393,1395,1396,1397,1400,1401,1404,1405,
1416,1417,1418,1419,1420,1421,1422,1423,1466,1467,1478,
1479,1481,1507,1544,1545,1552,1555,1556,1558,1599,1600,
1601,1603,1606,1608,1609,1626,1628,1642,1653,1662,1663,
1666,1667,1676,1678,1681,1683,1686,1687,1744,1745,1762,
1764,1782,1785,1802,1803,1808,1810,1859,1861,1902,1917,
1958,1960,2009],
[1,2,3,4,5,6,7,8,9,11,12,20,22,23,24,26,27,28,29,30,
31,32,35,36,37,39,40,41,42,43,44,46,57,58,67,70,71,
72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,89,90,
92,93,94,97,98,100,101,103,104,105,106,107,109,110,111,
145,161,167,168,169,170,171,172,173,174,175,176,177,178,
179,180,181,182,183,185,186,187,191,199,200,201,206,207,
208,209,215,216,235,238,239,248,272,275,276,287,289,294,
299,305,310,311,314,315,316,343,353,354,371,376,378,407,
420,435,458,492,534,535,536,537,538,539,540,541,544,546,
548,552,553,555,556,557,558,560,561,562,563,564,566,571,
572,573,574,575,576,577,580,588,594,597,619,622,631,632,
637,638,639,640,642,643,645,648,649,652,655,662,663,664,
665,667,669,670,671,673,674,677,681,683,686,687,688,689,
690,691,693,694,703,709,712,713,714,717,718,721,722,723,
724,728,730,737,740,741,742,744,745,747,748,750,751,760,
762,763,765,795,798,800,829,839,840,842,845,848,850,851,
853,857,858,860,862,869,870,872,873,877,879,880,881,883,
884,901,902,904,909,910,917,918,923,924,925,927,935,938,
941,946,955,956,965,967,972,973,978,980,985,987,989,992,
994,995,996,999,1004,1005,1006,1007,1012,1014,1022,1023,
1053,1054,1056,1059,1060,1066,1068,1070,1071,1157,1160,
1191,1192,1193,1195,1218,1220,1225,1228,1229,1232,1233,
1237,1240,1241,1242,1246,1253,1254,1256,1258,1259,1263,
1267,1269,1271,1273,1274,1276,1290,1291,1294,1295,1296,
1299,1301,1302,1308,1312,1318,1340,1344,1345,1346,1392,
1394,1398,1399,1402,1403,1406,1407,1465,1468,1477,1480,
1506,1544,1553,1554,1557,1559,1598,1602,1604,1605,1607,
1627,1629,1664,1665,1668,1669,1677,1679,1680,1682,1684,
1685,1742,1743,1761,1763,1783,1784,1800,1801,1809,1811,
1860,1862,1901,1918,1957,1959,2010],
[1,2,3,4,5,6,7,8,9,10,11,12,20,22,23,24,25,27,28,29,
30,31,32,33,34,35,36,37,38,40,41,42,43,46,55,56,57,
67,72,73,74,75,76,78,80,81,82,84,86,88,89,91,93,94,
95,96,97,98,99,100,101,102,105,106,109,110,111,116,119,
120,121,143,145,146,149,150,161,162,163,164,165,166,175,
177,178,182,183,184,185,191,193,195,196,197,199,202,203,
206,207,208,209,212,213,215,216,218,238,247,248,249,254,
255,272,273,274,281,284,285,287,289,295,296,302,303,310,
311,312,313,317,318,319,337,338,343,373,374,376,392,410,
411,420,423,434,493,534,535,536,537,538,539,540,541,543,
545,547,551,552,553,554,555,556,557,558,559,560,561,562,
563,564,565,566,567,569,570,571,572,573,574,575,576,577,
578,579,580,582,583,587,588,590,591,593,594,598,623,626,
629,630,631,632,634,635,637,638,639,641,645,650,651,652,
662,663,664,665,666,667,668,669,670,671,672,673,674,677,
678,679,680,683,684,685,686,687,688,689,690,691,692,693,
694,695,697,698,701,704,706,708,710,711,712,713,714,717,
718,719,720,721,722,723,724,725,726,727,728,729,730,731,
732,736,737,738,739,740,741,742,743,744,745,746,747,748,
749,750,751,752,753,754,755,760,761,762,763,764,765,766,
767,788,791,796,797,831,848,849,850,851,852,853,855,856,
857,862,863,864,867,869,870,871,872,873,874,877,878,879,
880,881,882,883,884,891,892,893,894,897,899,900,901,902,
906,907,908,909,918,921,922,924,925,926,927,934,935,936,
937,948,949,951,952,953,955,957,969,970,972,973,974,975,
977,978,979,980,981,982,984,985,986,987,988,989,990,991,
992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,
1005,1006,1007,1008,1009,1010,1011,1029,1030,1033,1034,
1036,1038,1040,1042,1052,1053,1054,1055,1056,1057,1058,
1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,
1070,1071,1077,1078,1079,1080,1081,1082,1083,1084,1085,
1086,1087,1088,1089,1090,1091,1092,1145,1146,1158,1159,
1167,1170,1191,1192,1193,1194,1195,1196,1197,1198,1199,
1200,1202,1204,1206,1208,1211,1212,1213,1214,1257,1258,
1259,1261,1268,1269,1272,1273,1274,1275,1278,1288,1291,
1292,1293,1294,1295,1297,1299,1300,1301,1302,1303,1305,
1306,1308,1309,1311,1340,1341,1342,1343,1344,1345,1346,
1347,1352,1353,1354,1355,1357,1359,1361,1362,1364,1365,
1372,1373,1384,1385,1386,1387,1388,1389,1390,1391,1392,
1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,
1404,1405,1406,1407,1408,1409,1410,1411,1412,1413,1414,
1415,1416,1418,1421,1422,1426,1427,1478,1479,1502,1507,
1516,1544,1545,1547,1548,1549,1551,1576,1577,1586,1588,
1589,1590,1592,1593,1598,1599,1601,1605,1606,1607,1609,
1631,1633,1635,1636,1647,1648,1652,1662,1663,1664,1665,
1666,1667,1668,1669,1670,1671,1674,1688,1689,1690,1691,
1692,1693,1722,1724,1731,1733,1744,1745,1788,1789,1793,
1794,1801,1802,1834,1835,1873,1875,1902,1905,1915,2011],
[1,2,3,4,5,6,7,8,9,10,11,12,20,22,23,24,25,27,28,29,
30,31,32,33,34,35,36,37,38,40,41,42,43,46,55,56,57,
67,72,73,74,75,76,78,80,81,82,84,86,88,89,91,93,94,
95,96,97,98,99,100,101,102,105,106,109,110,111,116,119,
120,121,143,145,146,149,150,161,162,163,164,165,166,175,
177,178,182,183,184,185,191,193,195,196,197,199,202,203,
206,207,208,209,212,213,215,216,218,238,247,248,249,254,
255,272,273,274,281,284,285,287,289,295,296,302,303,310,
311,312,313,317,318,319,337,338,343,373,374,376,392,410,
411,420,423,434,493,534,535,536,537,538,539,540,542,543,
544,545,546,548,552,553,555,556,557,558,560,561,563,564,
566,568,572,573,574,576,577,581,582,583,584,585,586,588,
589,590,592,595,596,597,619,622,631,632,633,636,640,642,
643,644,646,647,648,649,653,654,655,656,657,662,663,664,
665,667,669,670,671,673,675,676,681,682,686,687,689,690,
691,693,694,696,699,700,702,703,705,707,709,715,716,732,
733,756,757,789,792,793,794,795,798,829,848,850,851,853,
854,858,859,860,861,865,866,868,869,870,872,873,877,879,
880,881,883,884,889,890,895,896,898,903,904,905,910,911,
912,917,919,920,923,932,933,938,939,950,954,956,958,959,
961,962,963,964,971,976,983,1028,1031,1032,1035,1037,1039,
1041,1043,1151,1152,1157,1160,1161,1162,1191,1192,1193,
1195,1201,1203,1205,1207,1209,1210,1215,1216,1254,1255,
1256,1260,1266,1267,1270,1271,1276,1277,1279,1289,1290,
1296,1298,1304,1307,1310,1356,1358,1360,1363,1366,1367,
1374,1375,1417,1419,1420,1423,1477,1480,1503,1506,1508,
1544,1546,1550,1587,1591,1600,1602,1603,1604,1608,1630,
1632,1634,1637,1649,1650,1651,1672,1673,1675,1723,1728,
1730,1732,1742,1743,1790,1791,1792,1795,1800,1803,1872,
1876,1901,1916,2012],
[1,2,3,4,5,6,7,8,9,11,12,18,20,22,23,24,26,27,28,29,
30,31,32,35,36,37,39,40,41,42,43,44,46,57,58,65,70,
71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,89,
90,92,93,94,97,98,100,101,103,104,105,106,107,109,110,
111,116,119,120,121,141,142,145,161,162,164,167,168,169,
170,171,172,173,174,175,176,177,178,179,180,181,182,183,
185,186,187,188,189,190,191,193,197,199,200,201,202,203,
207,209,212,213,215,218,235,238,239,245,273,275,276,277,
278,279,280,282,283,285,289,290,291,292,293,294,296,300,
303,305,306,310,312,314,315,317,318,341,342,343,350,353,
354,371,372,373,375,379,380,384,385,390,407,419,422,439,
458,465,494,535,538,540,541,544,551,554,559,560,561,565,
574,575,578,580,583,597,622,626,629,632,635,639,648,665,
666,667,668,669,670,679,680,685,690,692,693,703,709,712,
713,714,719,720,726,729,736,743,746,749,797,824,851,852,
853,855,860,862,873,874,878,883,900,904,907,922,925,926,
927,935,938,965,967,969,975,979,980,986,988,991,994,995,
997,1000,1002,1004,1006,1052,1054,1056,1058,1063,1158,1160,
1193,1195,1196,1198,1204,1206,1220,1253,1254,1261,1263,
1270,1272,1276,1278,1279,1290,1292,1294,1295,1299,1300,
1301,1303,1311,1312,1340,1343,1346,1347,1388,1390,1408,
1410,1478,1498,1548,1555,1558,1580,1584,1590,1602,1605,
1608,1609,1651,1662,1664,1680,1682,1688,1690,1742,1744,
1761,1784,1785,1789,1791,1796,1798,1861,1899,1925,1957,
1960,2013],
[1,2,3,4,5,6,7,8,9,11,12,18,20,22,23,24,26,27,28,29,
30,31,32,35,36,37,39,40,41,42,43,44,46,57,58,65,70,
71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,89,
90,92,93,94,97,98,100,101,103,104,105,106,107,109,110,
111,116,119,120,121,141,142,145,161,162,164,167,168,169,
170,171,172,173,174,175,176,177,178,179,180,181,182,183,
185,186,187,188,189,190,191,193,197,199,200,201,202,203,
207,209,212,213,215,218,235,238,239,245,273,275,276,277,
278,279,280,282,283,285,289,290,291,292,293,294,296,300,
303,305,306,310,312,314,315,317,318,341,342,343,350,353,
354,371,372,373,375,379,380,384,385,390,407,419,422,439,
458,465,494,534,535,536,537,538,539,540,541,542,543,545,
546,547,548,552,553,554,555,556,557,558,559,560,561,562,
563,564,565,566,567,568,569,570,571,572,573,574,575,576,
577,578,579,580,581,582,583,584,587,588,589,590,591,592,
593,594,595,596,598,612,614,619,623,629,630,631,632,633,
634,635,636,637,638,639,640,641,642,643,644,645,646,647,
649,650,651,652,653,654,655,658,659,660,661,662,663,664,
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,
693,694,695,696,697,698,699,700,701,702,704,705,706,707,
708,710,711,717,718,719,720,721,722,723,724,725,727,728,
730,731,732,733,734,735,737,738,739,740,741,742,744,745,
746,747,748,749,750,751,752,753,754,755,756,757,758,759,
760,761,762,763,764,765,766,767,795,796,798,799,800,823,
838,839,840,841,842,843,844,845,846,847,848,849,850,851,
852,853,854,855,856,857,858,859,861,863,864,865,866,867,
869,870,871,872,875,876,877,879,880,881,882,884,885,886,
887,888,889,890,891,892,893,894,895,896,897,898,899,901,
902,903,905,906,907,908,909,910,911,912,913,914,915,916,
917,918,919,920,921,922,923,924,925,926,927,928,929,930,
931,932,933,934,936,937,939,940,941,942,943,944,945,946,
947,952,953,954,955,956,957,958,959,960,966,968,970,971,
972,973,974,975,976,977,978,979,980,985,986,987,988,989,
990,991,992,993,994,995,996,998,999,1001,1003,1005,1007,
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,
1045,1046,1047,1048,1049,1050,1051,1053,1055,1057,1059,
1060,1061,1062,1064,1065,1066,1067,1068,1069,1070,1071,
1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,
1088,1089,1090,1091,1092,1142,1143,1144,1157,1159,1191,
1192,1194,1197,1198,1201,1202,1203,1204,1205,1206,1207,
1208,1217,1218,1219,1221,1222,1223,1224,1225,1226,1227,
1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,
1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,
1250,1251,1252,1255,1256,1257,1258,1259,1260,1262,1264,
1265,1266,1267,1268,1269,1271,1273,1274,1275,1277,1280,
1281,1282,1283,1284,1285,1286,1287,1288,1289,1291,1293,
1296,1297,1298,1299,1300,1301,1302,1303,1308,1309,1310,
1313,1314,1315,1316,1317,1318,1319,1320,1321,1322,1323,
1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,
1335,1336,1337,1338,1339,1341,1342,1344,1345,1352,1353,
1360,1361,1362,1363,1364,1365,1366,1367,1372,1373,1374,
1375,1376,1377,1378,1379,1380,1381,1382,1383,1384,1385,
1386,1387,1389,1391,1396,1397,1398,1399,1404,1405,1406,
1407,1409,1411,1412,1413,1414,1415,1416,1417,1418,1419,
1426,1427,1465,1466,1467,1468,1477,1479,1480,1481,1499,
1546,1547,1548,1552,1553,1554,1556,1557,1559,1560,1561,
1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,
1573,1574,1575,1578,1579,1581,1582,1583,1585,1591,1592,
1593,1603,1604,1606,1607,1610,1611,1612,1613,1614,1615,
1616,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,
1627,1628,1629,1634,1635,1636,1637,1643,1644,1645,1646,
1652,1653,1654,1655,1656,1657,1663,1665,1670,1671,1672,
1673,1676,1677,1678,1679,1681,1683,1689,1691,1692,1738,
1739,1740,1741,1743,1745,1755,1756,1762,1763,1764,1782,
1783,1786,1787,1788,1790,1797,1799,1812,1813,1814,1815,
1820,1821,1822,1823,1832,1833,1859,1860,1862,1900,1904,
1926,1958,1959,1973,1974,2014],
[1,2,3,4,5,6,7,8,9,11,12,16,17,18,19,20,22,23,24,26,
27,28,29,30,31,32,35,36,37,39,40,41,42,43,44,46,55,
57,59,60,61,62,63,64,65,66,67,70,71,72,73,74,76,77,
78,79,80,81,82,83,84,85,86,87,89,90,92,93,94,97,98,
100,101,103,104,105,106,107,109,110,111,116,119,120,121,
137,138,139,140,141,143,144,145,147,148,150,151,152,153,
154,155,161,162,164,167,168,169,170,171,172,173,174,175,
176,177,178,179,180,181,182,183,185,186,187,188,189,190,
191,193,197,199,200,201,202,203,207,209,212,213,215,218,
236,237,240,241,242,243,244,245,246,247,248,250,251,255,
256,257,273,275,276,277,278,279,280,282,283,285,289,290,
291,292,293,294,296,300,303,305,306,310,312,314,315,317,
318,337,339,340,344,345,346,347,351,352,356,371,372,373,
375,379,380,384,385,390,408,409,410,412,413,414,415,421,
439,459,460,461,462,463,464,466,495,534,535,536,537,538,
539,540,541,542,543,545,546,547,548,549,550,551,552,553,
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,
582,583,584,587,588,589,590,591,592,593,594,595,596,598,
604,605,606,607,608,609,610,611,612,613,614,615,616,617,
618,619,620,621,622,623,624,625,626,629,630,631,632,633,
634,635,636,637,638,639,640,641,642,643,644,645,646,647,
649,650,651,652,653,654,655,658,659,660,661,662,663,664,
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,
693,694,695,696,697,698,699,700,701,702,704,705,706,707,
708,710,711,717,718,719,720,721,722,723,724,725,727,728,
730,731,732,733,734,735,737,738,739,740,741,742,744,745,
746,747,748,749,750,751,752,753,754,755,756,757,758,759,
760,761,762,763,764,765,766,767,787,788,789,790,791,792,
795,796,797,798,801,802,803,804,805,806,807,808,809,810,
811,812,813,814,815,816,817,818,819,820,821,822,823,824,
825,826,827,828,829,830,831,832,838,839,840,841,842,843,
844,845,846,847,848,849,850,851,852,853,854,855,856,857,
858,859,861,863,864,865,866,867,869,870,871,872,875,876,
877,879,880,881,882,884,885,886,887,888,889,890,891,892,
893,894,895,896,897,898,899,901,902,903,905,906,907,908,
909,910,911,912,913,914,915,916,917,918,919,920,921,922,
923,924,925,926,927,928,929,930,931,932,933,934,936,937,
939,940,941,942,943,944,945,946,947,952,953,954,955,956,
957,958,959,960,966,968,970,971,972,973,974,975,976,977,
978,979,980,985,986,987,988,989,990,991,992,993,994,995,
996,998,999,1001,1003,1005,1007,1012,1013,1014,1015,1016,
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,
1050,1051,1053,1055,1057,1059,1060,1061,1062,1064,1065,
1066,1067,1068,1069,1070,1071,1077,1078,1079,1080,1081,
1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,
1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,
1140,1141,1142,1143,1145,1146,1147,1148,1149,1150,1151,
1152,1153,1154,1155,1156,1157,1158,1159,1160,1163,1164,
1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,
1176,1177,1178,1179,1180,1191,1192,1194,1197,1198,1201,
1202,1203,1204,1205,1206,1207,1208,1217,1218,1219,1221,
1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,
1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,
1244,1245,1246,1247,1248,1249,1250,1251,1252,1255,1256,
1257,1258,1259,1260,1262,1264,1265,1266,1267,1268,1269,
1271,1273,1274,1275,1277,1280,1281,1282,1283,1284,1285,
1286,1287,1288,1289,1291,1293,1296,1297,1298,1299,1300,
1301,1302,1303,1308,1309,1310,1313,1314,1315,1316,1317,
1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,
1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,
1341,1342,1344,1345,1352,1353,1360,1361,1362,1363,1364,
1365,1366,1367,1372,1373,1374,1375,1376,1377,1378,1379,
1380,1381,1382,1383,1384,1385,1386,1387,1389,1391,1396,
1397,1398,1399,1404,1405,1406,1407,1409,1411,1412,1413,
1414,1415,1416,1417,1418,1419,1426,1427,1469,1470,1471,
1472,1473,1474,1475,1476,1482,1483,1484,1485,1486,1487,
1488,1489,1490,1491,1492,1493,1494,1495,1496,1497,1498,
1499,1500,1501,1502,1503,1504,1505,1506,1507,1509,1510,
1511,1512,1513,1514,1515,1516,1517,1518,1519,1546,1547,
1548,1552,1553,1554,1556,1557,1559,1560,1561,1562,1563,
1564,1565,1566,1567,1568,1569,1570,1571,1572,1573,1574,
1575,1578,1579,1581,1582,1583,1585,1591,1592,1593,1603,
1604,1606,1607,1610,1611,1612,1613,1614,1615,1616,1617,
1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,
1629,1634,1635,1636,1637,1643,1644,1645,1646,1652,1653,
1654,1655,1656,1657,1663,1665,1670,1671,1672,1673,1676,
1677,1678,1679,1681,1683,1689,1691,1692,1722,1723,1724,
1725,1726,1727,1728,1729,1734,1735,1736,1737,1746,1747,
1748,1749,1750,1751,1752,1757,1758,1759,1760,1765,1782,
1783,1786,1787,1788,1790,1797,1799,1812,1813,1814,1815,
1820,1821,1822,1823,1832,1833,1863,1864,1865,1866,1867,
1868,1869,1870,1871,1872,1873,1874,1877,1878,1879,1880,
1881,1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,
1892,1903,1926,1961,1962,1963,1964,1965,1966,1967,1968,
1969,1970,1971,1972,1975,1976,2015],
[1,2,4,6,7,8,9,15,18,20,22,23,27,28,30,35,41,44,51,55,
57,59,65,66,70,82,84,85,98,104,105,139,143,145,150,151,
164,172,189,236,240,250,267,278,334,337,345,401,409,496,
534,535,536,537,538,539,540,541,549,550,551,558,562,563,
564,566,567,568,570,571,572,573,574,575,576,577,578,579,
580,581,582,583,584,602,603,611,613,620,622,624,626,629,
631,633,634,636,637,638,639,640,641,642,662,664,672,673,
674,678,683,695,696,698,699,721,722,745,747,748,750,751,
758,759,778,787,790,791,797,802,803,821,824,825,827,838,
840,906,909,920,921,923,924,928,929,989,990,1022,1025,
1026,1028,1034,1136,1138,1145,1147,1148,1151,1158,1170,
1171,1207,1208,1242,1244,1328,1331,1470,1472,1482,1484,
1509,1511,1535,1566,1718,1719,1722,1729,1748,1850,1867,2016
],[1,2,4,6,7,8,9,15,18,20,22,23,27,28,30,35,41,44,
51,55,57,59,65,66,70,82,84,85,98,104,105,139,143,145,
150,151,164,172,189,236,240,250,267,278,334,337,345,401,
409,496,534,535,536,537,538,539,540,541,546,547,548,559,
561,567,568,570,572,573,574,575,576,577,579,580,581,582,
583,584,612,614,619,621,623,625,631,633,634,635,636,639,
640,643,644,662,667,668,670,676,696,698,700,701,719,749,
758,759,779,788,789,792,795,798,801,804,822,823,826,828,
841,910,911,917,920,925,926,929,931,991,995,1021,1029,
1035,1137,1139,1146,1149,1150,1152,1157,1168,1172,1203,
1204,1240,1245,1329,1332,1469,1471,1483,1485,1510,1512,
1534,1564,1723,1727,1749,1849,1868,2017],
[1,2,4,6,7,8,9,15,18,23,27,30,36,41,44,51,57,58,70,76,
77,84,85,93,104,105,141,142,172,177,180,235,238,239,266,
267,275,334,342,401,407,497,534,535,536,537,538,539,540,
541,547,548,558,559,562,564,567,568,569,570,571,572,573,
574,575,576,577,579,580,581,582,583,584,602,603,612,633,
634,635,636,637,638,639,640,641,642,643,644,662,664,667,
668,671,672,695,696,697,698,699,700,701,702,725,727,745,
748,758,759,778,796,798,799,800,838,839,840,841,869,871,
875,876,919,920,921,926,928,929,930,931,970,971,974,1020,
1021,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,
1034,1035,1142,1144,1239,1243,1244,1245,1266,1268,1282,
1283,1466,1467,1468,1479,1481,1552,1718,1719,1741,1850,
1859,2018],
[1,2,4,6,7,8,9,15,18,23,27,30,36,41,44,51,57,58,70,76,
77,84,85,93,104,105,141,142,172,177,180,235,238,239,266,
267,275,334,342,401,407,497,534,536,537,546,547,556,558,
561,563,571,573,576,614,638,643,663,670,723,724,744,747,
779,795,796,839,870,917,918,925,973,1023,1143,1240,1241,
1267,1269,1465,1466,1477,1534,1553,1740,1849,1860,2019],
[1,2,3,5,7,12,13,14,15,31,48,49,50,51,52,53,127,128,
129,131,133,134,135,156,157,232,233,258,259,260,261,357,
358,359,360,370,425,432,433,472,473,474,499,535,536,541,
553,554,569,594,599,602,603,706,778,779,780,781,1113,
1122,1124,1125,1126,1181,1182,1462,1524,1525,1766,1781,
1911,1912,1982,1983,1984,1985,2020],
[1,2,3,5,7,12,13,14,15,31,48,49,50,51,52,53,127,128,
129,131,133,134,135,156,157,232,233,258,259,260,261,357,
358,359,360,370,425,432,433,472,473,474,499,544,597,703,
774,775,776,783,785,1116,1117,1123,1461,1463,1520,1521,
1522,1523,1767,1768,1907,1913,1914,1986,2021],
[1,2,3,4,5,6,7,8,9,11,12,16,17,18,19,20,22,23,24,26,
27,28,29,30,31,32,35,37,39,40,41,43,44,46,47,55,57,
58,59,60,61,62,63,64,65,66,67,70,71,73,74,78,80,81,
82,83,84,85,87,89,90,92,98,103,104,105,106,107,111,116,
120,124,125,126,137,138,139,141,142,143,144,145,147,148,
151,152,153,154,155,164,167,168,169,170,172,173,175,188,
190,197,200,201,207,213,215,222,224,225,227,235,236,237,
240,241,242,243,244,245,247,250,257,277,280,282,290,291,
294,296,329,330,331,333,339,340,341,342,344,345,346,351,
352,354,380,393,399,421,422,441,442,443,476,477,478,500,
534,535,536,537,538,539,540,541,542,543,545,546,547,548,
549,550,551,552,554,555,556,557,558,559,560,562,563,564,
565,566,567,568,570,571,572,573,574,575,576,577,579,580,
581,582,583,584,587,588,589,590,591,592,593,594,595,596,
598,604,605,606,607,608,609,610,611,612,613,614,615,616,
617,618,619,620,621,622,623,624,625,626,630,631,633,634,
635,636,637,638,639,640,641,642,643,644,645,646,647,649,
650,651,652,653,654,658,659,660,661,662,663,664,667,668,
669,672,674,675,676,677,678,679,680,682,684,687,688,689,
692,693,694,695,696,698,699,700,701,704,705,707,710,711,
717,718,720,731,732,733,734,735,737,738,739,741,744,745,
746,747,748,750,754,755,756,757,758,759,761,762,764,765,
768,769,771,787,788,789,790,791,792,795,796,798,799,800,
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,
829,830,831,832,838,839,840,841,842,843,844,846,847,854,
855,856,859,861,863,864,866,877,879,881,882,889,890,893,
894,897,898,899,901,908,909,910,911,913,914,915,917,918,
920,921,923,926,927,928,929,931,940,942,943,944,945,947,
952,953,954,955,957,958,959,960,966,968,988,992,993,994,
1012,1013,1014,1015,1017,1018,1021,1023,1025,1026,1028,
1029,1034,1035,1036,1038,1041,1043,1045,1048,1049,1051,
1064,1065,1070,1071,1078,1080,1086,1087,1100,1101,1102,
1104,1106,1109,1110,1129,1130,1131,1132,1133,1134,1135,
1136,1137,1138,1139,1142,1143,1144,1145,1146,1147,1148,
1149,1150,1151,1152,1153,1154,1155,1156,1157,1159,1163,
1164,1165,1166,1171,1172,1173,1174,1175,1176,1177,1178,
1179,1180,1202,1203,1206,1207,1217,1219,1221,1222,1224,
1225,1230,1232,1233,1234,1241,1244,1245,1246,1247,1248,
1255,1256,1257,1259,1320,1321,1322,1323,1325,1326,1336,
1338,1360,1362,1363,1365,1376,1378,1380,1382,1396,1398,
1412,1414,1416,1419,1437,1438,1441,1443,1444,1446,1450,
1451,1452,1453,1465,1466,1467,1468,1469,1470,1471,1472,
1473,1474,1475,1476,1482,1483,1484,1485,1486,1487,1488,
1489,1490,1491,1492,1493,1494,1495,1496,1497,1499,1502,
1503,1504,1505,1509,1510,1511,1512,1519,1560,1561,1573,
1575,1578,1579,1611,1613,1615,1617,1626,1627,1634,1636,
1708,1710,1711,1712,1713,1716,1717,1734,1735,1736,1737,
1738,1739,1740,1741,1746,1747,1748,1749,1750,1751,1757,
1758,1759,1760,1763,1764,1815,1836,1837,1838,1839,1846,
1903,1904,1929,1930,1931,1932,1933,1934,1935,1936,1988,
1989,1990,1991,1992,1993,2022],
[1,2,3,4,5,7,10,12,13,14,16,17,20,25,31,33,48,49,50,
52,53,56,63,66,67,69,75,127,128,130,131,132,133,134,
135,146,153,156,158,159,160,229,231,232,233,249,258,259,
260,264,268,269,270,271,335,357,359,360,366,368,369,425,
429,431,445,479,501,534,535,539,540,542,543,544,545,546,
548,549,551,555,568,585,586,595,596,597,600,601,605,606,
609,610,619,620,621,622,656,657,703,705,715,716,772,773,
774,775,776,777,782,783,784,785,793,794,813,816,826,827,
829,832,834,835,836,837,868,1111,1112,1114,1115,1116,1117,
1118,1119,1120,1121,1123,1161,1162,1175,1183,1184,1185,
1186,1187,1188,1189,1190,1456,1457,1458,1459,1460,1461,
1463,1508,1520,1521,1522,1523,1528,1529,1536,1537,1538,
1539,1540,1541,1542,1543,1720,1767,1768,1774,1775,1778,
1779,1780,1907,1908,1910,1938,1939,1994,1995,2023],
[1,2,3,5,6,7,8,9,11,12,13,22,23,24,27,28,29,30,31,32,
35,36,37,40,41,42,43,45,46,49,52,72,73,74,76,78,80,
81,82,84,86,89,93,94,97,98,100,101,105,106,108,109,110,
111,112,113,116,119,120,121,133,134,135,161,162,164,175,
177,178,182,183,185,191,192,193,194,197,198,199,202,203,
207,209,212,213,215,216,218,230,233,273,285,286,287,288,
289,296,299,303,308,310,312,316,317,318,336,373,377,378,
391,400,436,446,447,448,480,481,502,534,535,536,537,538,
539,540,541,543,544,545,552,553,554,555,556,557,558,559,
560,561,562,563,564,565,566,567,569,570,571,572,573,574,
575,576,577,578,579,580,582,583,587,588,590,591,593,594,
597,598,599,629,630,631,632,634,635,637,638,639,641,645,
648,650,651,652,662,663,664,665,666,667,668,669,670,671,
672,673,674,677,678,679,680,683,684,685,686,687,688,689,
690,691,692,693,694,695,697,698,701,703,704,706,708,709,
710,711,717,718,719,720,721,722,723,724,725,727,728,730,
731,732,737,738,739,740,741,742,744,745,746,747,748,749,
750,751,752,753,754,755,760,761,762,763,764,765,766,767,
774,775,780,781,848,849,850,851,852,853,855,856,857,860,
863,864,867,869,870,871,872,873,877,879,880,881,882,883,
884,891,892,893,894,897,899,901,902,904,906,907,908,909,
918,921,922,924,925,926,927,934,936,937,938,952,953,955,
957,970,972,973,974,975,977,978,979,980,985,986,987,988,
989,990,991,992,993,994,995,996,998,999,1001,1003,1005,
1007,1029,1030,1033,1034,1036,1038,1040,1042,1052,1053,
1055,1057,1058,1059,1060,1061,1062,1064,1065,1066,1067,
1068,1069,1070,1071,1072,1073,1076,1077,1078,1079,1080,
1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,
1092,1122,1123,1124,1125,1126,1191,1192,1194,1195,1197,
1198,1202,1204,1206,1208,1254,1257,1258,1259,1268,1269,
1270,1273,1274,1275,1276,1279,1288,1290,1291,1293,1297,
1299,1300,1301,1302,1303,1308,1309,1341,1342,1343,1344,
1345,1348,1351,1352,1353,1361,1362,1364,1365,1369,1370,
1372,1373,1384,1385,1386,1387,1389,1391,1396,1397,1398,
1399,1404,1405,1406,1407,1409,1411,1412,1413,1414,1415,
1416,1418,1420,1423,1426,1427,1462,1463,1547,1548,1592,
1593,1594,1595,1600,1601,1602,1606,1607,1608,1635,1636,
1651,1652,1658,1659,1663,1665,1670,1671,1684,1685,1689,
1691,1692,1721,1788,1791,1804,1807,1808,1809,1847,1848,
1920,1940,1941,1942,1943,1944,1996,1997,2024],
[1,2,3,4,7,8,10,11,12,17,20,21,22,24,25,30,33,34,38,
39,42,45,56,57,64,77,83,86,91,99,108,114,118,136,140,
145,146,149,165,174,198,204,210,239,246,252,263,297,338,
349,353,405,416,424,503,534,537,540,544,547,571,574,588,
596,597,622,623,627,630,632,645,648,653,654,657,695,700,
716,796,818,876,914,934,935,938,939,962,964,1127,1159,
1160,1161,1210,1212,1251,1253,1368,1369,1481,1500,1527,
1639,1731,1732,1761,1762,1854,1893,1906,2025],
[1,2,4,6,7,8,9,18,20,21,22,23,27,28,30,35,41,44,55,57,
58,65,70,82,84,85,98,103,104,105,136,139,141,142,143,
145,150,164,169,172,188,190,235,240,245,263,280,337,341,
342,354,402,404,405,412,422,504,534,535,536,537,538,539,
540,541,546,547,548,556,558,562,563,564,567,568,570,571,
572,573,574,575,576,577,579,580,581,582,583,584,612,614,
619,623,627,630,631,633,634,636,637,638,639,640,641,642,
643,662,663,664,672,674,676,677,684,695,696,698,699,717,
718,744,745,747,748,750,758,759,788,789,792,795,796,798,
799,800,823,838,839,840,908,909,910,911,917,918,920,921,
928,929,992,993,1012,1014,1017,1018,1023,1025,1026,1028,
1034,1127,1137,1139,1142,1143,1144,1146,1152,1157,1159,
1167,1202,1203,1224,1225,1241,1244,1321,1325,1336,1338,
1465,1466,1467,1468,1485,1499,1527,1573,1723,1724,1738,
1739,1740,1741,1763,1764,1851,1853,1854,1878,1904,2026],
[1,2,4,5,6,8,20,21,22,27,29,57,67,72,76,78,136,145,161,
238,248,263,272,343,405,420,470,505,534,535,537,538,541,
547,551,552,554,559,562,565,571,575,578,623,626,627,629,
630,666,668,672,685,688,692,796,797,831,849,852,871,874,
878,882,1127,1158,1159,1194,1196,1478,1479,1507,1527,1545,
1744,1745,1854,1902,1981,2027],
[1,2,3,4,5,6,7,8,9,11,12,14,16,17,18,19,20,23,24,26,
29,30,31,32,37,39,43,44,47,48,50,53,55,60,61,62,63,
65,71,74,83,85,89,90,92,122,123,124,125,126,127,128,
131,137,138,139,143,144,148,168,220,221,222,224,225,226,
228,232,237,240,242,243,244,265,325,327,328,329,332,340,
361,362,367,397,430,452,484,485,489,508,544,560,561,597,
648,690,703,709,712,713,714,776,783,785,860,862,965,967,
1097,1116,1117,1220,1430,1436,1461,1701,1702,1842,2002,
2003,2028],
[1,2,3,4,5,6,7,8,9,11,12,14,16,17,18,19,20,23,24,26,
29,30,31,32,37,39,43,44,47,48,50,53,55,60,61,62,63,
65,71,74,83,85,89,90,92,122,123,124,125,126,127,128,
131,137,138,139,143,144,148,168,220,221,222,224,225,226,
228,232,237,240,242,243,244,265,325,327,328,329,332,340,
361,362,367,397,430,452,484,485,489,508,534,535,537,538,
539,540,541,542,543,545,546,547,548,549,550,551,552,554,
555,556,557,565,566,567,568,570,572,574,575,579,580,581,
582,583,584,587,588,589,590,591,592,593,595,596,598,600,
601,604,605,606,608,609,610,611,612,613,614,615,616,617,
618,619,620,623,624,633,634,636,639,646,647,650,651,653,
658,659,660,661,687,692,694,696,698,704,705,707,710,711,
731,732,733,734,735,754,756,757,758,759,768,769,770,771,
772,773,777,782,784,787,788,789,790,791,792,806,808,809,
810,811,812,813,815,821,823,843,846,861,864,913,929,952,
954,960,966,968,1093,1094,1095,1096,1098,1099,1100,1101,
1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,
1118,1119,1129,1130,1131,1133,1134,1135,1136,1137,1138,
1139,1146,1147,1148,1152,1153,1154,1155,1156,1165,1221,
1431,1432,1433,1434,1435,1437,1438,1439,1440,1441,1442,
1443,1444,1445,1446,1447,1448,1449,1454,1455,1460,1475,
1476,1482,1485,1490,1491,1494,1495,1496,1497,1530,1531,
1532,1533,1700,1703,1706,1707,1708,1709,1714,1715,1736,
1769,1770,1771,1772,1776,1777,1843,1909,1947,1948,1999,
2000,2004,2005,2029],
[1,2,3,4,6,7,9,10,11,12,14,17,18,19,25,26,32,38,39,40,
43,44,45,47,48,50,53,55,62,88,92,113,114,115,122,123,
124,130,131,132,138,139,144,217,220,221,222,229,244,265,
322,325,367,398,452,483,489,509,534,535,538,539,540,541,
542,543,544,545,547,548,549,550,557,561,565,566,568,570,
579,580,583,584,585,586,587,590,591,592,595,596,597,598,
600,601,608,610,612,613,617,618,656,657,658,659,707,709,
710,714,734,736,740,754,756,758,769,771,772,777,782,783,
784,785,787,788,790,792,812,950,951,965,966,1074,1076,
1094,1095,1098,1101,1102,1114,1115,1117,1118,1120,1121,
1133,1134,1136,1139,1153,1154,1425,1432,1433,1435,1436,
1438,1456,1497,1530,1533,1702,1703,1776,1845,1948,2003,
2005,2030],
[1,2,3,4,6,7,9,10,11,12,14,17,18,19,25,26,32,38,39,40,
43,44,45,47,48,50,53,55,62,88,92,113,114,115,122,123,
124,130,131,132,138,139,144,217,220,221,222,229,244,265,
322,325,367,398,452,483,489,509,534,535,537,539,540,541,
542,543,544,545,546,547,550,551,556,557,560,565,567,568,
579,580,581,582,585,586,587,588,589,591,593,595,596,597,
608,609,611,614,615,616,656,657,660,661,707,709,711,713,
735,737,743,754,757,759,768,770,773,776,788,789,790,791,
811,949,950,967,968,1073,1075,1093,1096,1097,1099,1100,
1116,1119,1134,1135,1137,1138,1155,1156,1424,1430,1431,
1434,1437,1439,1457,1496,1531,1532,1700,1701,1777,1844,
1947,2002,2004,2031],
[1,2,3,4,6,7,9,11,12,14,17,18,19,26,32,33,34,36,39,43,
44,45,47,48,50,53,55,62,92,95,113,117,118,122,123,124,
128,131,138,139,144,219,220,221,222,223,231,244,265,323,
324,325,326,367,396,452,486,489,510,534,535,537,539,540,
541,542,543,544,545,546,547,550,551,556,557,561,565,567,
568,579,580,581,582,587,588,589,591,593,595,596,597,608,
609,611,614,615,616,660,661,707,709,711,714,715,716,723,
729,735,754,757,759,768,770,773,783,785,788,789,790,791,
811,965,968,982,983,1073,1074,1093,1096,1099,1100,1117,
1119,1134,1135,1137,1138,1155,1156,1428,1431,1434,1436,
1437,1439,1459,1496,1531,1532,1698,1699,1700,1702,1777,
1840,1947,2003,2004,2032],
[1,2,3,4,6,7,9,11,12,14,17,18,19,26,32,33,34,36,39,43,
44,45,47,48,50,53,55,62,92,95,113,117,118,122,123,124,
128,131,138,139,144,219,220,221,222,223,231,244,265,323,
324,325,326,367,396,452,486,489,510,534,535,538,539,540,
541,542,543,544,545,547,548,549,550,557,560,565,566,568,
570,579,580,583,584,587,590,591,592,595,596,597,598,600,
601,608,610,612,613,617,618,658,659,707,709,710,713,715,
716,726,730,734,754,756,758,769,771,772,776,777,782,784,
787,788,790,792,812,966,967,983,984,1075,1076,1094,1095,
1097,1098,1101,1102,1116,1118,1133,1134,1136,1139,1153,
1154,1429,1430,1432,1433,1435,1438,1458,1497,1530,1533,
1701,1703,1704,1705,1776,1841,1948,2002,2005,2033],
[1,2,3,4,5,6,7,8,9,10,11,12,17,18,20,22,23,24,25,26,
27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,
44,45,46,55,56,57,64,65,67,70,71,72,73,74,75,76,77,
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,
110,111,112,113,114,115,116,117,118,119,120,121,138,139,
140,141,143,145,146,149,150,154,161,162,163,164,165,166,
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,
209,210,211,212,213,214,215,216,217,218,219,238,240,241,
245,246,247,248,249,252,253,254,255,272,273,274,275,276,
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,
319,320,321,337,338,343,346,347,348,350,355,371,372,373,
374,375,376,377,378,379,380,381,382,383,384,385,386,387,
388,389,390,391,392,410,411,412,413,416,417,418,419,420,
423,434,435,436,437,438,439,440,463,468,469,475,493,511,
534,535,536,537,538,539,540,541,542,543,544,545,546,547,
548,551,552,553,554,555,556,557,558,559,560,561,562,563,
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,
592,593,594,595,596,597,598,607,609,612,614,619,622,623,
626,629,630,631,632,633,634,635,636,637,638,639,640,641,
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,
788,789,791,792,793,794,795,796,797,798,817,818,823,824,
829,831,838,839,840,841,842,843,844,845,846,847,848,849,
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,
1091,1092,1132,1135,1137,1139,1140,1141,1142,1143,1145,
1146,1151,1152,1157,1158,1159,1160,1161,1162,1167,1170,
1177,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,
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,
1421,1422,1423,1424,1425,1426,1427,1428,1429,1477,1478,
1479,1480,1484,1485,1486,1489,1498,1499,1500,1501,1502,
1503,1506,1507,1508,1516,1544,1545,1546,1547,1548,1549,
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,
1693,1694,1695,1696,1697,1722,1723,1724,1728,1730,1731,
1732,1733,1742,1743,1744,1745,1750,1752,1753,1754,1755,
1756,1782,1783,1784,1785,1786,1787,1788,1789,1790,1791,
1792,1793,1794,1795,1796,1797,1798,1799,1800,1801,1802,
1803,1804,1805,1806,1807,1808,1809,1810,1811,1812,1813,
1814,1815,1816,1817,1818,1819,1820,1821,1822,1823,1824,
1825,1826,1827,1828,1829,1830,1831,1832,1833,1834,1835,
1872,1873,1875,1876,1878,1880,1881,1883,1893,1894,1895,
1896,1897,1898,1899,1900,1901,1902,1905,1915,1916,1917,
1918,1919,1920,1921,1922,1923,1924,1925,1926,1927,1928,
1969,1979,1980,1987,2011,2012,2034],
[1,2,3,4,5,6,7,8,9,10,11,12,17,18,20,22,23,24,25,26,
27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,
44,45,46,57,58,64,65,67,70,71,72,73,74,75,76,77,78,
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,
111,112,113,114,115,116,117,118,119,120,121,140,141,142,
145,154,161,162,163,164,165,166,167,168,169,170,171,172,
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,
215,216,217,218,219,235,238,239,245,246,248,272,273,274,
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,
317,318,319,320,321,341,342,343,347,348,349,350,353,354,
371,372,373,374,375,376,377,378,379,380,381,382,383,384,
385,386,387,388,389,390,391,392,407,418,419,420,422,424,
434,435,436,437,438,439,440,458,465,467,468,475,491,492,
494,512,534,535,536,537,538,539,540,541,542,543,544,545,
546,547,548,551,552,553,554,555,556,557,558,559,560,561,
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,
590,591,592,593,594,595,596,597,598,607,609,612,614,619,
622,623,626,629,630,631,632,633,634,635,636,637,638,639,
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,
766,767,795,796,797,798,799,800,817,818,823,824,829,831,
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,
1140,1141,1142,1143,1144,1157,1158,1159,1160,1177,1191,
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,
1423,1424,1425,1426,1427,1428,1429,1465,1466,1467,1468,
1477,1478,1479,1480,1481,1498,1499,1500,1501,1506,1507,
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,
1738,1739,1740,1741,1742,1743,1744,1745,1752,1753,1754,
1755,1756,1761,1762,1763,1764,1782,1783,1784,1785,1786,
1787,1788,1789,1790,1791,1792,1793,1794,1795,1796,1797,
1798,1799,1800,1801,1802,1803,1804,1805,1806,1807,1808,
1809,1810,1811,1812,1813,1814,1815,1816,1817,1818,1819,
1820,1821,1822,1823,1824,1825,1826,1827,1828,1829,1830,
1831,1832,1833,1834,1835,1859,1860,1861,1862,1897,1898,
1899,1900,1901,1902,1904,1906,1915,1916,1917,1918,1919,
1920,1921,1922,1923,1924,1925,1926,1927,1928,1957,1958,
1959,1960,1973,1974,1977,1978,1979,1987,2007,2008,2009,
2010,2013,2014,2035],
[1,2,3,4,5,6,7,8,9,11,12,15,16,17,18,19,20,22,23,24,
26,27,28,29,30,31,32,35,37,39,40,41,42,43,44,46,51,
55,57,59,60,61,62,63,64,65,66,67,70,71,73,74,78,80,
81,82,83,84,85,86,87,89,90,92,98,103,104,105,106,107,
111,116,120,129,137,138,139,140,143,144,145,147,148,150,
151,152,153,154,155,164,167,168,170,171,172,173,175,189,
190,197,200,201,207,213,215,236,237,240,241,242,243,244,
246,247,250,251,257,267,278,279,283,292,293,294,296,334,
337,339,340,344,345,346,351,352,364,379,401,409,413,415,
421,449,462,496,513,534,535,536,537,538,539,540,541,542,
543,545,546,547,548,549,550,551,552,554,555,556,557,558,
559,561,562,563,564,565,566,567,568,569,570,571,572,573,
574,575,576,577,578,579,580,581,582,583,584,587,588,589,
590,591,592,593,594,595,596,598,602,603,604,605,606,607,
608,609,610,611,612,613,614,615,616,617,618,619,620,621,
622,623,624,625,626,629,631,633,634,635,636,637,638,639,
640,641,642,643,644,645,646,647,649,650,651,652,653,654,
655,658,659,660,661,662,664,667,668,670,672,673,674,675,
676,678,679,680,682,683,684,687,688,689,692,693,694,695,
696,697,698,699,700,701,704,705,707,710,711,719,721,722,
731,732,733,734,735,738,739,740,742,745,747,748,749,750,
751,752,753,754,755,756,757,758,759,760,763,766,767,778,
779,787,788,789,790,791,792,795,797,798,801,802,803,804,
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,
838,840,841,842,843,844,845,846,847,854,855,856,859,861,
863,864,866,877,881,882,884,889,890,893,894,897,898,899,
902,906,909,910,911,913,914,915,917,920,921,923,924,925,
926,928,929,931,933,937,940,942,943,944,945,947,952,953,
954,955,957,958,959,960,966,968,989,990,991,995,1013,
1014,1015,1017,1020,1021,1022,1023,1025,1026,1028,1029,
1034,1035,1036,1038,1041,1043,1045,1046,1048,1049,1051,
1066,1067,1068,1069,1077,1079,1085,1088,1113,1129,1130,
1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,
1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,
1156,1157,1158,1163,1164,1165,1166,1168,1170,1171,1172,
1173,1174,1175,1176,1177,1178,1179,1180,1203,1204,1207,
1208,1217,1219,1221,1222,1228,1229,1230,1234,1237,1238,
1240,1242,1244,1245,1247,1248,1255,1256,1257,1258,1328,
1329,1331,1332,1333,1334,1336,1339,1360,1361,1363,1364,
1376,1378,1380,1382,1397,1399,1413,1415,1416,1419,1469,
1470,1471,1472,1473,1474,1475,1476,1482,1483,1484,1485,
1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,1496,
1497,1501,1502,1503,1504,1505,1509,1510,1511,1512,1514,
1519,1534,1535,1564,1566,1569,1570,1583,1585,1618,1620,
1623,1625,1626,1629,1634,1635,1718,1719,1722,1723,1727,
1729,1734,1735,1736,1737,1746,1747,1748,1749,1750,1751,
1757,1758,1759,1760,1773,1812,1849,1850,1867,1868,1882,
1883,1890,1892,1903,1945,1968,2016,2017,2036],
[1,2,4,6,7,8,9,15,18,20,22,23,27,28,30,35,36,41,44,46,
51,57,58,65,70,76,77,82,84,85,93,98,103,104,105,111,
119,121,129,141,142,145,164,169,172,177,180,188,189,190,
197,202,209,235,238,239,245,266,267,275,278,280,290,292,
300,312,334,341,342,350,354,363,385,401,407,422,449,465,
497,514,534,535,536,537,538,539,540,541,546,547,548,556,
558,559,561,562,563,564,567,568,569,570,571,572,573,574,
575,576,577,579,580,581,582,583,584,602,603,612,614,619,
623,630,631,633,634,635,636,637,638,639,640,641,642,643,
644,662,663,664,667,668,670,671,672,674,676,677,684,695,
696,697,698,699,700,701,702,717,718,719,723,724,725,727,
744,745,747,748,749,750,758,759,760,761,763,764,778,779,
795,796,798,799,800,823,838,839,840,841,869,870,871,875,
876,908,909,910,911,917,918,919,920,921,925,926,928,929,
930,931,970,971,973,974,991,992,993,995,1012,1014,1017,
1018,1020,1021,1023,1024,1025,1026,1027,1028,1029,1030,
1031,1032,1033,1034,1035,1065,1068,1069,1071,1083,1084,
1089,1091,1113,1142,1143,1144,1157,1159,1202,1203,1204,
1205,1224,1225,1239,1240,1241,1243,1244,1245,1266,1267,
1268,1269,1282,1283,1320,1321,1324,1325,1329,1330,1332,
1333,1336,1338,1360,1361,1362,1366,1384,1385,1405,1406,
1465,1466,1467,1468,1477,1479,1481,1499,1534,1552,1553,
1564,1565,1572,1573,1610,1611,1618,1619,1643,1645,1670,
1672,1718,1719,1738,1739,1740,1741,1755,1763,1764,1822,
1849,1850,1859,1860,1904,1945,1974,2018,2019,2037],
[1,2,3,5,7,12,13,14,15,31,45,48,49,50,51,52,53,112,127,
128,129,131,133,134,135,156,157,230,232,233,258,259,260,
261,336,357,358,359,360,370,425,432,433,472,473,474,498,
499,515,535,536,541,544,553,554,569,594,597,599,602,603,
703,706,774,775,776,778,779,780,781,783,785,1072,1113,
1116,1117,1122,1123,1124,1125,1126,1181,1182,1461,1462,
1463,1520,1521,1522,1523,1524,1525,1721,1766,1767,1768,
1781,1907,1911,1912,1913,1914,1982,1983,1984,1985,1986,
2020,2021,2038],
[1,2,4,7,9,14,18,20,21,44,47,48,55,58,59,65,66,124,128,
136,139,142,151,221,227,265,330,362,404,452,516,534,535,
537,539,540,541,546,547,548,550,551,567,568,579,580,581,
582,600,601,611,612,614,619,621,623,625,628,759,768,770,
772,773,788,789,790,791,801,804,822,823,826,828,1099,
1100,1112,1128,1137,1138,1172,1434,1451,1453,1530,1531,
1532,1711,1772,1947,2039],
[1,2,4,7,9,14,18,20,21,44,47,48,55,58,59,65,66,124,128,
136,139,142,151,221,227,265,330,362,404,452,516,534,535,
538,539,540,541,547,548,549,550,551,568,570,579,580,583,
584,600,601,611,612,613,620,622,624,626,627,758,769,771,
772,773,787,788,790,792,799,800,802,803,821,824,825,827,
1101,1102,1112,1127,1136,1139,1144,1171,1435,1450,1452,
1530,1531,1533,1710,1771,1853,1948,2040],
[1,2,3,4,5,6,7,8,9,10,11,12,14,16,17,18,19,20,23,24,
25,26,29,30,31,32,33,34,36,37,38,39,40,42,43,44,45,
47,48,50,53,55,60,61,62,63,65,71,74,75,83,85,88,89,
90,91,92,95,96,99,100,102,108,112,113,114,115,117,118,
122,123,124,125,126,127,128,130,131,132,137,138,139,143,
144,148,168,184,192,210,211,214,217,219,220,221,222,223,
224,225,226,228,229,231,232,237,240,242,243,244,265,320,
322,323,324,325,326,327,328,329,332,335,340,361,362,367,
394,395,396,397,398,430,444,452,483,484,485,486,489,506,
507,508,509,510,518,534,535,537,538,539,540,541,542,543,
544,545,546,547,548,549,550,551,552,554,555,556,557,560,
561,565,566,567,568,570,572,574,575,579,580,581,582,583,
584,585,586,587,588,589,590,591,592,593,595,596,597,598,
600,601,604,605,606,608,609,610,611,612,613,614,615,616,
617,618,619,620,623,624,633,634,636,639,646,647,648,650,
651,653,656,657,658,659,660,661,687,690,692,694,696,698,
703,704,705,707,709,710,711,712,713,714,715,716,723,726,
729,730,731,732,733,734,735,736,737,740,743,754,756,757,
758,759,768,769,770,771,772,773,776,777,782,783,784,785,
787,788,789,790,791,792,806,808,809,810,811,812,813,815,
821,823,843,846,860,861,862,864,868,913,929,949,950,951,
952,954,960,961,964,965,966,967,968,982,983,984,996,997,
1010,1011,1073,1074,1075,1076,1093,1094,1095,1096,1097,
1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,
1109,1110,1111,1112,1114,1115,1116,1117,1118,1119,1120,
1121,1129,1130,1131,1133,1134,1135,1136,1137,1138,1139,
1146,1147,1148,1152,1153,1154,1155,1156,1165,1220,1221,
1305,1307,1349,1351,1424,1425,1428,1429,1430,1431,1432,
1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,
1444,1445,1446,1447,1448,1449,1454,1455,1456,1457,1458,
1459,1460,1461,1475,1476,1482,1485,1490,1491,1494,1495,
1496,1497,1530,1531,1532,1533,1695,1698,1699,1700,1701,
1702,1703,1704,1705,1706,1707,1708,1709,1714,1715,1720,
1736,1769,1770,1771,1772,1776,1777,1840,1841,1842,1843,
1844,1845,1909,1937,1947,1948,1999,2000,2002,2003,2004,
2005,2028,2029,2030,2031,2032,2033,2041],
[1,2,3,4,5,6,7,8,9,10,11,12,13,16,17,20,22,23,24,25,
27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,46,
49,52,55,56,57,63,66,67,72,73,74,75,76,78,80,81,82,
84,86,88,89,91,93,94,95,96,97,98,99,100,101,102,105,
106,109,110,111,116,119,120,121,133,134,135,137,138,143,
145,146,149,150,153,161,162,163,164,165,166,175,177,178,
182,183,184,185,191,193,195,196,197,199,202,203,206,207,
208,209,212,213,215,216,218,233,238,242,247,248,249,250,
251,254,255,256,264,272,273,274,281,284,285,287,289,295,
296,302,303,310,311,312,313,317,318,319,337,338,343,351,
356,365,366,373,374,376,392,400,410,411,414,415,420,423,
428,429,434,446,447,448,466,481,493,519,534,535,536,537,
538,539,540,542,543,544,545,546,548,549,551,552,553,555,
556,557,558,560,561,563,564,566,568,572,573,574,576,577,
581,582,583,584,585,586,588,589,590,592,595,596,597,605,
606,609,610,619,620,621,622,631,632,633,636,640,642,643,
644,646,647,648,649,653,654,655,656,657,662,663,664,665,
667,669,670,671,673,675,676,681,682,686,687,689,690,691,
693,694,696,699,700,702,703,705,707,709,715,716,732,733,
756,757,774,775,787,789,791,792,793,794,795,798,813,816,
826,827,829,832,848,850,851,853,854,858,859,860,861,865,
866,868,869,870,872,873,877,879,880,881,883,884,889,890,
895,896,898,903,904,905,910,911,912,917,919,920,923,932,
933,938,939,950,954,956,958,959,961,962,963,964,971,976,
983,1028,1031,1032,1035,1037,1039,1041,1043,1123,1129,1130,
1133,1135,1148,1150,1151,1152,1157,1160,1161,1162,1175,
1191,1192,1193,1195,1201,1203,1205,1207,1209,1210,1215,
1216,1254,1255,1256,1260,1266,1267,1270,1271,1276,1277,
1279,1289,1290,1296,1298,1304,1307,1310,1356,1358,1360,
1363,1366,1367,1374,1375,1417,1419,1420,1423,1463,1477,
1480,1490,1493,1503,1504,1506,1508,1509,1510,1528,1529,
1544,1546,1550,1587,1591,1600,1602,1603,1604,1608,1630,
1632,1634,1637,1649,1650,1651,1672,1673,1675,1723,1726,
1728,1729,1730,1732,1742,1743,1757,1774,1775,1790,1791,
1792,1795,1800,1803,1872,1874,1876,1887,1888,1890,1891,
1901,1908,1916,1940,1976,1997,2012,2042],
[1,2,3,4,5,6,7,8,9,10,11,12,13,16,17,20,22,23,24,25,
27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,46,
49,52,55,56,57,63,66,67,72,73,74,75,76,78,80,81,82,
84,86,88,89,91,93,94,95,96,97,98,99,100,101,102,105,
106,109,110,111,116,119,120,121,133,134,135,137,138,143,
145,146,149,150,153,161,162,163,164,165,166,175,177,178,
182,183,184,185,191,193,195,196,197,199,202,203,206,207,
208,209,212,213,215,216,218,233,238,242,247,248,249,250,
251,254,255,256,264,272,273,274,281,284,285,287,289,295,
296,302,303,310,311,312,313,317,318,319,337,338,343,351,
356,365,366,373,374,376,392,400,410,411,414,415,420,423,
428,429,434,446,447,448,466,481,493,519,534,535,536,537,
538,539,540,541,543,545,547,548,550,551,552,553,554,555,
556,557,558,559,560,561,562,563,564,565,566,567,569,570,
571,572,573,574,575,576,577,578,579,580,582,583,587,588,
590,591,593,594,598,599,604,605,607,608,623,624,625,626,
629,630,631,632,634,635,637,638,639,641,645,650,651,652,
662,663,664,665,666,667,668,669,670,671,672,673,674,677,
678,679,680,683,684,685,686,687,688,689,690,691,692,693,
694,695,697,698,701,704,706,708,710,711,712,713,714,717,
718,719,720,721,722,723,724,725,726,727,728,729,730,731,
732,736,737,738,739,740,741,742,743,744,745,746,747,748,
749,750,751,752,753,754,755,760,761,762,763,764,765,766,
767,780,781,788,790,791,792,796,797,814,815,825,828,830,
831,848,849,850,851,852,853,855,856,857,862,863,864,867,
869,870,871,872,873,874,877,878,879,880,881,882,883,884,
891,892,893,894,897,899,900,901,902,906,907,908,909,918,
921,922,924,925,926,927,934,935,936,937,948,949,951,952,
953,955,957,969,970,972,973,974,975,977,978,979,980,981,
982,984,985,986,987,988,989,990,991,992,993,994,995,996,
997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,
1009,1010,1011,1029,1030,1033,1034,1036,1038,1040,1042,
1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,
1063,1064,1065,1066,1067,1068,1069,1070,1071,1077,1078,
1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,
1090,1091,1092,1122,1124,1125,1126,1129,1131,1132,1134,
1145,1146,1147,1149,1158,1159,1167,1168,1169,1170,1176,
1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1202,
1204,1206,1208,1211,1212,1213,1214,1257,1258,1259,1261,
1268,1269,1272,1273,1274,1275,1278,1288,1291,1292,1293,
1294,1295,1297,1299,1300,1301,1302,1303,1305,1306,1308,
1309,1311,1340,1341,1342,1343,1344,1345,1346,1347,1352,
1353,1354,1355,1357,1359,1361,1362,1364,1365,1372,1373,
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,
1418,1421,1422,1426,1427,1462,1478,1479,1491,1492,1502,
1505,1507,1511,1512,1513,1514,1515,1516,1517,1518,1544,
1545,1547,1548,1549,1551,1576,1577,1586,1588,1589,1590,
1592,1593,1598,1599,1601,1605,1606,1607,1609,1631,1633,
1635,1636,1647,1648,1652,1662,1663,1664,1665,1666,1667,
1668,1669,1670,1671,1674,1688,1689,1690,1691,1692,1693,
1722,1724,1725,1727,1731,1733,1744,1745,1758,1765,1788,
1789,1793,1794,1801,1802,1834,1835,1847,1848,1871,1873,
1875,1885,1886,1889,1892,1902,1905,1915,1941,1942,1943,
1944,1975,1996,2011,2043],
[1,2,3,4,5,7,9,11,12,14,16,17,18,19,20,21,26,31,37,39,
44,47,48,50,53,55,58,59,60,61,62,63,64,65,66,67,68,
90,124,126,127,128,131,136,137,139,142,144,147,148,151,
152,153,154,155,221,224,227,232,234,243,257,265,327,330,
331,333,361,362,367,399,404,430,452,484,516,520,534,535,
537,538,539,540,541,542,543,545,546,547,548,549,550,551,
552,554,555,567,568,570,579,580,581,582,583,584,587,588,
589,590,591,592,593,595,596,598,600,601,604,605,606,607,
608,609,610,611,612,613,614,615,616,617,618,619,620,621,
622,623,624,625,626,627,628,658,659,660,661,704,705,731,
732,733,734,735,758,759,768,769,770,771,772,773,777,782,
784,787,788,789,790,791,792,799,800,801,802,803,804,805,
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,
960,1099,1100,1101,1102,1107,1108,1109,1110,1111,1112,1118,
1119,1127,1128,1129,1130,1131,1136,1137,1138,1139,1144,
1153,1154,1155,1156,1163,1164,1165,1166,1171,1172,1173,
1174,1175,1176,1177,1178,1179,1180,1434,1435,1440,1441,
1442,1443,1450,1451,1452,1453,1460,1464,1494,1495,1519,
1530,1531,1532,1533,1706,1710,1711,1712,1713,1716,1717,
1769,1770,1771,1772,1776,1777,1846,1853,1909,1947,1948,
1999,2039,2040,2044],
[1,2,4,6,7,8,9,15,18,20,22,23,27,28,30,35,36,41,44,46,
47,51,55,57,58,59,65,66,70,76,77,82,84,85,93,98,103,
104,105,111,119,121,124,139,141,142,143,145,150,151,164,
169,172,177,180,188,189,190,197,202,209,222,227,235,236,
238,239,240,245,250,256,266,267,275,278,280,290,292,300,
312,330,334,337,341,342,345,350,385,393,401,407,409,412,
414,441,454,459,465,476,496,497,521,534,535,536,537,538,
539,540,541,547,548,549,550,551,557,558,559,560,562,563,
564,566,567,568,569,570,571,572,573,574,575,576,577,578,
579,580,581,582,583,584,602,603,611,612,613,620,622,624,
626,629,631,632,633,634,635,636,637,638,639,640,641,642,
643,644,662,664,667,668,669,671,672,673,674,675,678,679,
680,681,682,683,695,696,697,698,699,700,701,702,720,721,
722,725,727,728,730,745,746,747,748,750,751,758,759,762,
765,766,767,769,771,778,787,790,791,796,797,798,799,800,
802,803,821,824,825,827,838,839,840,841,869,871,872,875,
876,905,906,907,909,910,912,919,920,921,923,924,926,927,
928,929,930,931,970,971,972,974,988,989,990,994,1012,
1013,1014,1015,1016,1019,1020,1021,1022,1024,1025,1026,
1027,1028,1029,1030,1031,1032,1033,1034,1035,1064,1066,
1067,1070,1081,1082,1090,1092,1101,1102,1136,1138,1142,
1144,1145,1147,1148,1151,1158,1160,1169,1170,1171,1201,
1206,1207,1208,1225,1226,1239,1242,1243,1244,1245,1246,
1266,1268,1271,1273,1282,1283,1322,1323,1326,1327,1328,
1331,1334,1335,1337,1339,1363,1364,1365,1367,1386,1387,
1404,1407,1438,1450,1452,1466,1467,1468,1470,1472,1479,
1480,1481,1482,1484,1498,1509,1511,1518,1535,1552,1554,
1566,1567,1574,1575,1612,1613,1620,1621,1644,1646,1671,
1673,1710,1718,1719,1722,1725,1728,1729,1739,1741,1748,
1756,1823,1837,1838,1850,1859,1862,1867,1870,1879,1880,
1885,1887,1931,1932,1961,1973,1988,2016,2018,2045],
[1,2,4,6,7,8,9,15,18,20,22,23,27,28,30,35,36,41,44,46,
47,51,55,57,58,59,65,66,70,76,77,82,84,85,93,98,103,
104,105,111,119,121,124,139,141,142,143,145,150,151,164,
169,172,177,180,188,189,190,197,202,209,222,227,235,236,
238,239,240,245,250,256,266,267,275,278,280,290,292,300,
312,330,334,337,341,342,345,350,385,393,401,407,409,412,
414,441,454,459,465,476,496,497,521,534,535,536,537,538,
539,540,541,546,547,548,556,558,559,561,562,563,564,567,
568,569,570,571,572,573,574,575,576,577,579,580,581,582,
583,584,612,614,619,621,623,625,630,631,633,634,635,636,
637,638,639,640,641,642,643,644,662,663,664,667,668,670,
671,672,674,676,677,684,695,696,697,698,699,700,701,702,
717,718,719,723,724,725,727,744,745,747,748,749,750,758,
759,760,761,763,764,768,779,788,789,792,795,796,798,799,
801,804,822,823,826,828,838,839,840,841,869,870,871,875,
876,908,909,910,911,917,918,919,920,921,925,926,928,929,
930,931,970,971,973,974,991,992,993,995,1012,1014,1017,
1018,1020,1021,1023,1024,1025,1026,1027,1028,1029,1030,
1031,1032,1033,1034,1035,1065,1068,1069,1071,1083,1084,
1089,1091,1100,1137,1139,1142,1143,1146,1149,1150,1152,
1157,1159,1167,1168,1172,1202,1203,1204,1205,1224,1225,
1239,1240,1241,1243,1244,1245,1266,1267,1268,1269,1282,
1283,1320,1321,1324,1325,1329,1330,1332,1333,1336,1338,
1360,1361,1362,1366,1384,1385,1405,1406,1437,1451,1453,
1465,1466,1467,1469,1471,1477,1479,1481,1483,1485,1499,
1510,1512,1517,1534,1552,1553,1564,1565,1572,1573,1610,
1611,1618,1619,1643,1645,1670,1672,1711,1723,1724,1726,
1727,1738,1740,1749,1755,1822,1836,1839,1849,1859,1860,
1868,1869,1877,1878,1886,1888,1929,1930,1950,1962,1974,
1989,2017,2019,2046],
[1,2,3,4,5,6,7,8,9,10,11,12,13,16,17,18,19,20,22,23,
24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,
41,42,43,44,45,46,49,52,55,56,57,59,60,61,62,63,64,
65,66,67,70,71,72,73,74,75,76,77,78,79,80,81,82,83,
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,
115,116,117,118,119,120,121,133,134,135,137,138,139,140,
141,143,144,145,146,147,148,149,150,151,152,153,154,155,
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,
217,218,219,230,233,236,237,238,240,241,242,243,244,245,
246,247,248,249,250,251,252,253,254,255,256,257,264,272,
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,
315,316,317,318,319,320,321,336,337,338,339,340,343,344,
345,346,347,348,350,351,352,355,356,365,366,371,372,373,
374,375,376,377,378,379,380,381,382,383,384,385,386,387,
388,389,390,391,392,400,408,409,410,411,412,413,414,415,
416,417,418,419,420,421,423,426,427,428,429,434,435,436,
437,438,439,440,446,447,448,459,460,461,462,463,464,466,
468,469,471,475,480,481,493,495,502,511,519,522,534,535,
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,
592,593,594,595,596,597,598,599,604,605,606,607,608,609,
610,611,612,613,614,615,616,617,618,619,620,621,622,623,
624,625,626,629,630,631,632,633,634,635,636,637,638,639,
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,
766,767,774,775,780,781,787,788,789,790,791,792,793,794,
795,796,797,798,801,802,803,804,805,806,807,808,809,810,
811,812,813,814,815,816,817,818,819,820,821,822,823,824,
825,826,827,828,829,830,831,832,838,839,840,841,842,843,
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,
1087,1088,1089,1090,1091,1092,1122,1123,1124,1125,1126,
1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,
1140,1141,1142,1143,1145,1146,1147,1148,1149,1150,1151,
1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,
1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,
1174,1175,1176,1177,1178,1179,1180,1191,1192,1193,1194,
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,
1426,1427,1428,1429,1462,1463,1469,1470,1471,1472,1473,
1474,1475,1476,1477,1478,1479,1480,1482,1483,1484,1485,
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,
1519,1528,1529,1544,1545,1546,1547,1548,1549,1550,1551,
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,
1695,1696,1697,1721,1722,1723,1724,1725,1726,1727,1728,
1729,1730,1731,1732,1733,1734,1735,1736,1737,1742,1743,
1744,1745,1746,1747,1748,1749,1750,1751,1752,1753,1754,
1755,1756,1757,1758,1759,1760,1765,1774,1775,1782,1783,
1784,1785,1786,1787,1788,1789,1790,1791,1792,1793,1794,
1795,1796,1797,1798,1799,1800,1801,1802,1803,1804,1805,
1806,1807,1808,1809,1810,1811,1812,1813,1814,1815,1816,
1817,1818,1819,1820,1821,1822,1823,1824,1825,1826,1827,
1828,1829,1830,1831,1832,1833,1834,1835,1847,1848,1863,
1864,1865,1866,1867,1868,1869,1870,1871,1872,1873,1874,
1875,1876,1877,1878,1879,1880,1881,1882,1883,1884,1885,
1886,1887,1888,1889,1890,1891,1892,1893,1894,1895,1896,
1897,1898,1899,1900,1901,1902,1903,1905,1908,1915,1916,
1917,1918,1919,1920,1921,1922,1923,1924,1925,1926,1927,
1928,1940,1941,1942,1943,1944,1961,1962,1963,1964,1965,
1966,1967,1968,1969,1970,1971,1972,1975,1976,1979,1980,
1987,1996,1997,2011,2012,2015,2024,2034,2042,2043,2047],
[1,2,3,4,5,6,7,8,9,10,11,12,17,18,20,21,22,23,24,25,
26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,
43,44,45,46,55,56,57,58,64,65,67,70,71,72,73,74,75,
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,
136,138,139,140,141,142,143,145,146,149,150,154,161,162,
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,
219,235,238,239,240,241,245,246,247,248,249,252,253,254,
255,263,272,273,274,275,276,277,278,279,280,281,282,283,
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,
312,313,314,315,316,317,318,319,320,321,337,338,341,342,
343,346,347,348,349,350,353,354,355,371,372,373,374,375,
376,377,378,379,380,381,382,383,384,385,386,387,388,389,
390,391,392,402,404,405,407,410,411,412,413,416,417,418,
419,420,422,423,424,434,435,436,437,438,439,440,458,463,
465,467,468,469,470,475,491,492,493,494,503,504,505,511,
512,524,534,535,536,537,538,539,540,541,542,543,544,545,
546,547,548,551,552,553,554,555,556,557,558,559,560,561,
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,
590,591,592,593,594,595,596,597,598,607,609,612,614,619,
622,623,626,627,629,630,631,632,633,634,635,636,637,638,
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,
765,766,767,788,789,791,792,793,794,795,796,797,798,799,
800,817,818,823,824,829,831,838,839,840,841,842,843,844,
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,
1088,1089,1090,1091,1092,1127,1132,1135,1137,1139,1140,
1141,1142,1143,1144,1145,1146,1151,1152,1157,1158,1159,
1160,1161,1162,1167,1170,1177,1191,1192,1193,1194,1195,
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,
1427,1428,1429,1465,1466,1467,1468,1477,1478,1479,1480,
1481,1484,1485,1486,1489,1498,1499,1500,1501,1502,1503,
1506,1507,1508,1516,1527,1544,1545,1546,1547,1548,1549,
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,
1693,1694,1695,1696,1697,1722,1723,1724,1728,1730,1731,
1732,1733,1738,1739,1740,1741,1742,1743,1744,1745,1750,
1752,1753,1754,1755,1756,1761,1762,1763,1764,1782,1783,
1784,1785,1786,1787,1788,1789,1790,1791,1792,1793,1794,
1795,1796,1797,1798,1799,1800,1801,1802,1803,1804,1805,
1806,1807,1808,1809,1810,1811,1812,1813,1814,1815,1816,
1817,1818,1819,1820,1821,1822,1823,1824,1825,1826,1827,
1828,1829,1830,1831,1832,1833,1834,1835,1851,1853,1854,
1859,1860,1861,1862,1872,1873,1875,1876,1878,1880,1881,
1883,1893,1894,1895,1896,1897,1898,1899,1900,1901,1902,
1904,1905,1906,1915,1916,1917,1918,1919,1920,1921,1922,
1923,1924,1925,1926,1927,1928,1957,1958,1959,1960,1969,
1973,1974,1977,1978,1979,1980,1981,1987,2007,2008,2009,
2010,2011,2012,2013,2014,2025,2026,2027,2034,2035,2048],
[1,2,3,4,5,6,7,8,9,11,12,15,16,17,18,19,20,22,23,24,
26,27,28,29,30,31,32,35,36,37,39,40,41,42,43,44,46,
47,51,55,57,58,59,60,61,62,63,64,65,66,67,70,71,72,
73,74,76,77,78,79,80,81,82,83,84,85,86,87,89,90,92,
93,94,97,98,100,101,103,104,105,106,107,109,110,111,116,
119,120,121,124,125,126,129,137,138,139,140,141,142,143,
144,145,147,148,150,151,152,153,154,155,161,162,164,167,
168,169,170,171,172,173,174,175,176,177,178,179,180,181,
182,183,185,186,187,188,189,190,191,193,197,199,200,201,
202,203,207,209,212,213,215,218,222,224,225,227,235,236,
237,238,239,240,241,242,243,244,245,246,247,248,250,251,
255,256,257,266,267,273,275,276,277,278,279,280,282,283,
285,289,290,291,292,293,294,296,300,303,305,306,310,312,
314,315,317,318,329,330,331,333,334,337,339,340,341,342,
343,344,345,346,347,350,351,352,353,354,356,363,364,371,
372,373,375,379,380,384,385,390,393,399,401,407,408,409,
410,412,413,414,415,419,421,422,439,441,442,443,449,454,
458,459,460,461,462,463,464,465,466,476,477,478,494,495,
496,497,500,513,514,521,525,534,535,536,537,538,539,540,
541,542,543,545,546,547,548,549,550,551,552,553,554,555,
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,
584,587,588,589,590,591,592,593,594,595,596,598,602,603,
604,605,606,607,608,609,610,611,612,613,614,615,616,617,
618,619,620,621,622,623,624,625,626,629,630,631,632,633,
634,635,636,637,638,639,640,641,642,643,644,645,646,647,
649,650,651,652,653,654,655,658,659,660,661,662,663,664,
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,
693,694,695,696,697,698,699,700,701,702,704,705,706,707,
708,710,711,717,718,719,720,721,722,723,724,725,727,728,
730,731,732,733,734,735,737,738,739,740,741,742,744,745,
746,747,748,749,750,751,752,753,754,755,756,757,758,759,
760,761,762,763,764,765,766,767,768,769,771,778,779,787,
788,789,790,791,792,795,796,797,798,799,800,801,802,803,
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,
832,838,839,840,841,842,843,844,845,846,847,848,849,850,
851,852,853,854,855,856,857,858,859,861,863,864,865,866,
867,869,870,871,872,875,876,877,879,880,881,882,884,885,
886,887,888,889,890,891,892,893,894,895,896,897,898,899,
901,902,903,905,906,907,908,909,910,911,912,913,914,915,
916,917,918,919,920,921,922,923,924,925,926,927,928,929,
930,931,932,933,934,936,937,939,940,941,942,943,944,945,
946,947,952,953,954,955,956,957,958,959,960,966,968,970,
971,972,973,974,975,976,977,978,979,980,985,986,987,988,
989,990,991,992,993,994,995,996,998,999,1001,1003,1005,
1007,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,
1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,
1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,
1044,1045,1046,1047,1048,1049,1050,1051,1053,1055,1057,
1059,1060,1061,1062,1064,1065,1066,1067,1068,1069,1070,
1071,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,
1087,1088,1089,1090,1091,1092,1100,1101,1102,1104,1106,
1109,1110,1113,1129,1130,1131,1132,1133,1134,1135,1136,
1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,
1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,
1159,1160,1163,1164,1165,1166,1167,1168,1169,1170,1171,
1172,1173,1174,1175,1176,1177,1178,1179,1180,1191,1192,
1194,1197,1198,1201,1202,1203,1204,1205,1206,1207,1208,
1217,1218,1219,1221,1222,1223,1224,1225,1226,1227,1228,
1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,
1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,
1251,1252,1255,1256,1257,1258,1259,1260,1262,1264,1265,
1266,1267,1268,1269,1271,1273,1274,1275,1277,1280,1281,
1282,1283,1284,1285,1286,1287,1288,1289,1291,1293,1296,
1297,1298,1299,1300,1301,1302,1303,1308,1309,1310,1313,
1314,1315,1316,1317,1318,1319,1320,1321,1322,1323,1324,
1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,
1336,1337,1338,1339,1341,1342,1344,1345,1352,1353,1360,
1361,1362,1363,1364,1365,1366,1367,1372,1373,1374,1375,
1376,1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,
1387,1389,1391,1396,1397,1398,1399,1404,1405,1406,1407,
1409,1411,1412,1413,1414,1415,1416,1417,1418,1419,1426,
1427,1437,1438,1441,1443,1444,1446,1450,1451,1452,1453,
1465,1466,1467,1468,1469,1470,1471,1472,1473,1474,1475,
1476,1477,1479,1480,1481,1482,1483,1484,1485,1486,1487,
1488,1489,1490,1491,1492,1493,1494,1495,1496,1497,1498,
1499,1500,1501,1502,1503,1504,1505,1506,1507,1509,1510,
1511,1512,1513,1514,1515,1516,1517,1518,1519,1534,1535,
1546,1547,1548,1552,1553,1554,1556,1557,1559,1560,1561,
1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,
1573,1574,1575,1578,1579,1581,1582,1583,1585,1591,1592,
1593,1603,1604,1606,1607,1610,1611,1612,1613,1614,1615,
1616,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,
1627,1628,1629,1634,1635,1636,1637,1643,1644,1645,1646,
1652,1653,1654,1655,1656,1657,1663,1665,1670,1671,1672,
1673,1676,1677,1678,1679,1681,1683,1689,1691,1692,1708,
1710,1711,1712,1713,1716,1717,1718,1719,1722,1723,1724,
1725,1726,1727,1728,1729,1734,1735,1736,1737,1738,1739,
1740,1741,1743,1745,1746,1747,1748,1749,1750,1751,1752,
1755,1756,1757,1758,1759,1760,1762,1763,1764,1765,1773,
1782,1783,1786,1787,1788,1790,1797,1799,1812,1813,1814,
1815,1820,1821,1822,1823,1832,1833,1836,1837,1838,1839,
1846,1849,1850,1859,1860,1862,1863,1864,1865,1866,1867,
1868,1869,1870,1871,1872,1873,1874,1877,1878,1879,1880,
1881,1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,
1892,1900,1903,1904,1926,1929,1930,1931,1932,1933,1934,
1935,1936,1945,1950,1958,1959,1961,1962,1963,1964,1965,
1966,1967,1968,1969,1970,1971,1972,1973,1974,1975,1976,
1988,1989,1990,1991,1992,1993,2014,2015,2016,2017,2018,
2019,2022,2036,2037,2045,2046,2049],
[1,2,4,6,7,8,9,15,18,21,23,27,30,36,41,44,47,51,57,58,
70,76,77,84,85,93,104,105,124,136,141,142,172,177,180,
222,223,235,238,239,266,267,275,324,334,342,401,402,403,
407,453,454,497,526,535,541,550,551,559,560,561,565,578,
602,603,611,628,665,666,726,729,746,749,770,778,797,873,
874,922,969,1099,1128,1270,1272,1436,1439,1478,1535,1555,
1698,1852,1861,1949,2050],
[1,2,4,6,7,8,9,15,18,21,23,27,30,36,41,44,47,51,57,58,
70,76,77,84,85,93,104,105,124,136,141,142,172,177,180,
222,223,235,238,239,266,267,275,324,334,342,401,402,403,
407,453,454,497,526,534,536,537,546,547,556,558,561,563,
571,573,576,614,627,638,643,663,670,723,724,744,747,768,
779,795,796,839,870,917,918,925,973,1023,1100,1127,1143,
1240,1241,1267,1269,1436,1437,1465,1466,1477,1534,1553,
1699,1740,1849,1851,1860,1950,2019,2051],
[1,2,4,6,7,8,9,14,18,20,21,22,23,27,28,30,35,41,44,47,
48,55,57,58,59,65,66,69,70,82,84,85,98,103,104,105,
124,125,128,136,139,141,142,143,145,150,151,159,164,169,
172,188,190,221,225,227,235,236,240,245,250,263,265,271,
280,328,330,337,341,342,345,354,362,393,402,404,405,406,
412,422,441,443,452,455,478,485,504,516,527,534,535,536,
537,538,539,540,541,546,547,548,549,550,551,556,558,562,
563,564,567,568,570,571,572,573,574,575,576,577,579,580,
581,582,583,584,600,601,611,612,613,614,619,620,622,623,
624,626,627,630,631,633,634,636,637,638,639,640,641,642,
643,662,663,664,672,674,676,677,684,695,696,698,699,717,
718,744,745,747,748,750,758,759,768,769,770,771,772,773,
787,788,789,790,791,792,795,796,798,799,800,802,803,821,
823,824,825,827,836,837,838,839,840,908,909,910,911,917,
918,920,921,928,929,992,993,1012,1014,1017,1018,1023,1025,
1026,1028,1034,1099,1100,1101,1102,1103,1104,1105,1106,
1112,1127,1136,1137,1138,1139,1142,1143,1144,1145,1146,
1147,1148,1151,1152,1157,1159,1167,1171,1187,1188,1202,
1203,1224,1225,1241,1244,1321,1325,1336,1338,1434,1435,
1444,1445,1446,1447,1450,1452,1465,1466,1467,1468,1470,
1472,1482,1484,1485,1499,1509,1511,1527,1530,1531,1532,
1533,1543,1573,1707,1710,1723,1724,1738,1739,1740,1741,
1748,1763,1764,1771,1772,1836,1837,1838,1851,1853,1854,
1856,1858,1878,1904,1930,1932,1935,1936,1947,1948,1952,
1993,2000,2026,2040,2052],
[1,2,4,6,7,8,9,14,18,20,21,22,23,27,28,30,35,41,44,47,
48,55,57,58,59,65,66,69,70,82,84,85,98,103,104,105,
124,125,128,136,139,141,142,143,145,150,151,159,164,169,
172,188,190,221,225,227,235,236,240,245,250,263,265,271,
280,328,330,337,341,342,345,354,362,393,402,404,405,406,
412,422,441,443,452,455,478,485,504,516,527,534,535,537,
538,539,540,541,546,547,548,549,550,551,559,560,567,568,
570,572,574,575,579,580,581,582,583,584,600,601,611,612,
613,614,619,620,621,623,624,625,628,633,634,635,636,639,
640,644,662,667,668,669,696,698,700,701,720,746,758,759,
768,769,770,771,772,773,787,788,789,790,791,792,801,804,
821,822,823,826,828,834,835,841,920,923,926,927,929,931,
988,994,1021,1029,1035,1099,1100,1101,1102,1103,1104,1105,
1106,1112,1128,1136,1137,1138,1139,1146,1147,1148,1149,
1150,1152,1169,1172,1185,1186,1206,1207,1245,1246,1322,
1326,1434,1435,1444,1445,1446,1447,1451,1453,1469,1471,
1482,1483,1485,1510,1512,1530,1531,1532,1533,1542,1575,
1707,1711,1725,1729,1749,1771,1772,1839,1852,1855,1857,
1879,1929,1931,1947,1948,1951,1992,2000,2039,2053],
[1,2,3,4,5,6,7,8,9,11,12,14,16,17,18,19,20,21,22,23,
24,26,27,28,29,30,31,32,35,37,39,40,41,43,44,46,47,
48,50,53,55,57,58,59,60,61,62,63,64,65,66,67,68,69,
70,71,73,74,78,80,81,82,83,84,85,87,89,90,92,98,103,
104,105,106,107,111,116,120,122,123,124,125,126,127,128,
131,136,137,138,139,141,142,143,144,145,147,148,150,151,
152,153,154,155,158,159,160,164,167,168,169,170,172,173,
175,188,190,197,200,201,207,213,215,220,221,222,224,225,
226,227,228,232,234,235,236,237,240,241,242,243,244,245,
247,250,251,257,263,265,269,270,271,277,280,282,290,291,
294,296,325,327,328,329,330,331,332,333,337,339,340,341,
342,344,345,346,351,352,354,361,362,367,369,380,393,397,
399,402,404,405,406,408,412,415,421,422,430,441,442,443,
450,452,455,456,457,461,476,477,478,484,485,489,490,500,
504,508,516,520,527,528,534,535,536,537,538,539,540,541,
542,543,545,546,547,548,549,550,551,552,554,555,556,557,
558,559,560,562,563,564,565,566,567,568,570,571,572,573,
574,575,576,577,579,580,581,582,583,584,587,588,589,590,
591,592,593,594,595,596,598,600,601,604,605,606,607,608,
609,610,611,612,613,614,615,616,617,618,619,620,621,622,
623,624,625,626,627,628,630,631,633,634,635,636,637,638,
639,640,641,642,643,644,645,646,647,649,650,651,652,653,
654,658,659,660,661,662,663,664,667,668,669,672,674,675,
676,677,678,679,680,682,684,687,688,689,692,693,694,695,
696,698,699,700,701,704,705,707,710,711,717,718,720,731,
732,733,734,735,737,738,739,741,744,745,746,747,748,750,
754,755,756,757,758,759,761,762,764,765,768,769,770,771,
772,773,777,782,784,787,788,789,790,791,792,795,796,798,
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,
841,842,843,844,846,847,854,855,856,859,861,863,864,866,
877,879,881,882,889,890,893,894,897,898,899,901,908,909,
910,911,913,914,915,917,918,920,921,923,926,927,928,929,
931,940,942,943,944,945,947,952,953,954,955,957,958,959,
960,966,968,988,992,993,994,1012,1013,1014,1015,1017,1018,
1021,1023,1025,1026,1028,1029,1034,1035,1036,1038,1041,
1043,1045,1048,1049,1051,1064,1065,1070,1071,1078,1080,
1086,1087,1093,1094,1095,1096,1098,1099,1100,1101,1102,
1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1118,
1119,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,
1137,1138,1139,1142,1143,1144,1145,1146,1147,1148,1149,
1150,1151,1152,1153,1154,1155,1156,1157,1159,1163,1164,
1165,1166,1167,1169,1171,1172,1173,1174,1175,1176,1177,
1178,1179,1180,1183,1184,1185,1186,1187,1188,1189,1190,
1202,1203,1206,1207,1217,1219,1221,1222,1224,1225,1230,
1232,1233,1234,1241,1244,1245,1246,1247,1248,1255,1256,
1257,1259,1320,1321,1322,1323,1325,1326,1336,1338,1360,
1362,1363,1365,1376,1378,1380,1382,1396,1398,1412,1414,
1416,1419,1431,1432,1433,1434,1435,1437,1438,1439,1440,
1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,
1452,1453,1454,1455,1460,1464,1465,1466,1467,1468,1469,
1470,1471,1472,1473,1474,1475,1476,1482,1483,1484,1485,
1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,1496,
1497,1499,1502,1503,1504,1505,1509,1510,1511,1512,1513,
1519,1527,1530,1531,1532,1533,1538,1539,1540,1541,1542,
1543,1560,1561,1573,1575,1578,1579,1611,1613,1615,1617,
1626,1627,1634,1636,1700,1703,1706,1707,1708,1709,1710,
1711,1712,1713,1714,1715,1716,1717,1723,1724,1725,1729,
1734,1735,1736,1737,1738,1739,1740,1741,1746,1747,1748,
1749,1750,1751,1757,1758,1759,1760,1763,1764,1769,1770,
1771,1772,1776,1777,1780,1815,1836,1837,1838,1839,1843,
1846,1851,1852,1853,1854,1855,1856,1857,1858,1863,1864,
1878,1879,1889,1890,1903,1904,1909,1929,1930,1931,1932,
1933,1934,1935,1936,1946,1947,1948,1951,1952,1953,1954,
1955,1956,1966,1988,1989,1990,1991,1992,1993,1999,2000,
2004,2005,2006,2022,2026,2029,2039,2040,2044,2052,2053,2054
],[1,2,3,4,6,7,8,9,12,15,17,18,19,21,23,27,30,32,
33,34,36,38,40,41,42,44,45,46,47,51,57,58,62,68,70,
76,77,84,85,93,95,99,101,102,104,105,108,109,115,116,
117,119,122,123,124,129,136,140,141,142,163,172,177,180,
194,195,204,208,211,212,220,221,222,223,234,235,238,239,
266,267,275,302,304,307,308,323,324,325,326,334,342,348,
349,364,389,396,401,402,403,407,450,451,453,454,467,487,
488,497,526,529,534,535,536,537,541,545,546,547,550,551,
556,558,559,560,561,563,565,567,569,571,573,576,578,593,
594,602,603,608,609,611,614,615,616,627,628,638,643,663,
665,666,670,708,711,712,714,723,724,725,726,728,729,736,
737,738,742,744,746,747,749,753,761,762,763,767,768,770,
778,779,795,796,797,811,833,839,870,873,874,917,918,922,
925,969,973,981,982,1000,1001,1004,1005,1008,1010,1023,
1053,1054,1057,1058,1078,1079,1081,1083,1093,1096,1099,
1100,1113,1127,1128,1141,1143,1200,1240,1241,1267,1269,
1270,1272,1354,1400,1402,1408,1409,1431,1434,1436,1437,
1439,1464,1465,1466,1477,1478,1534,1535,1553,1555,1647,
1649,1659,1661,1698,1699,1700,1702,1740,1753,1773,1831,
1840,1849,1851,1852,1860,1861,1946,1949,1950,1977,2001,
2019,2050,2051,2055],
[1,2,4,6,7,8,9,15,18,20,21,22,23,27,28,30,35,36,41,44,
46,47,51,54,55,57,58,59,65,66,70,76,77,82,84,85,93,
98,103,104,105,111,119,121,124,129,136,139,141,142,143,
145,150,151,164,169,172,177,180,188,189,190,197,202,209,
222,223,227,235,236,238,239,240,245,250,256,262,263,266,
267,275,278,280,290,292,300,312,324,330,334,337,341,342,
345,350,354,363,385,393,401,402,403,404,405,407,409,412,
414,422,441,449,453,454,459,465,476,482,487,496,497,504,
514,517,521,526,532,534,535,536,537,538,539,540,541,546,
547,548,556,558,559,561,562,563,564,567,568,569,570,571,
572,573,574,575,576,577,579,580,581,582,583,584,602,603,
612,614,619,621,623,625,627,630,631,633,634,635,636,637,
638,639,640,641,642,643,644,662,663,664,667,668,670,671,
672,674,676,677,684,695,696,697,698,699,700,701,702,717,
718,719,723,724,725,727,744,745,747,748,749,750,758,759,
760,761,763,764,768,778,779,786,788,789,792,795,796,798,
799,800,801,804,822,823,826,828,838,839,840,841,869,870,
871,875,876,908,909,910,911,917,918,919,920,921,925,926,
928,929,930,931,970,971,973,974,991,992,993,995,1012,
1014,1017,1018,1020,1021,1023,1024,1025,1026,1027,1028,
1029,1030,1031,1032,1033,1034,1035,1065,1068,1069,1071,
1083,1084,1089,1091,1100,1113,1127,1137,1139,1142,1143,
1144,1146,1149,1150,1152,1157,1159,1167,1168,1172,1202,
1203,1204,1205,1224,1225,1239,1240,1241,1243,1244,1245,
1266,1267,1268,1269,1282,1283,1320,1321,1324,1325,1329,
1330,1332,1333,1336,1338,1360,1361,1362,1366,1384,1385,
1405,1406,1436,1437,1451,1453,1465,1466,1467,1468,1469,
1471,1477,1479,1481,1483,1485,1499,1510,1512,1517,1526,
1527,1534,1552,1553,1564,1565,1572,1573,1610,1611,1618,
1619,1643,1645,1670,1672,1699,1711,1718,1719,1723,1724,
1726,1727,1738,1739,1740,1741,1749,1755,1763,1764,1822,
1836,1839,1849,1850,1851,1853,1854,1859,1860,1868,1869,
1877,1878,1886,1888,1904,1929,1930,1945,1949,1950,1962,
1974,1989,1998,2001,2017,2018,2019,2026,2037,2046,2051,2056
],[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,
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1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,
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1935,1936,1937,1938,1939,1940,1941,1942,1943,1944,1945,
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1990,1991,1992,1993,1994,1995,1996,1997,1998,1999,2000,
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8,4,4,4,4,4,4,4,4,4,4,2,12,8,8,4,6,8,4,4,4,4,4,
4,4,4,4,4,4,4,2,4,4,4,2,2,8,2,2,2,2,4,2,2,4,2,2
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4,4,4,4,4,8,8,4,4,4,8,4,2,4,4,4,8,4,4,2,2,4,4,
12,2,4,4,4,4,4,2,2,4,2,4,2,4,8,2,4,4,2,2,4,2,2],
[352,32,24,10,32,8,8,8,8,2,12,2,10,2,6,6,2,2,4,8,4,
8,4,4,4,4,4,12,2,4,2,2,4,8,2,2,2,6,2,2,2,2,2,2,
2,4,4,4,2,2,2,2,4,4,12,4,2,4,2,2,2,2,8,4,2,4,2,
2,1,2,2,2,2,2,2,2,2,4,2,4,2,2,4,2,2,4,1,1,1,2,
2,2,2,2,6,1,2,2,4,2,2,2,2,1,2,2,2,2,6,2,1,1,2,
2,2,2,1,2,2,1,1,1,2,2,2,1,4,1,1,2,2,2,2,4,2,1,
2,2,2,2,2,1,2,1,1],
[200,40,20,16,8,24,16,10,12,4,4,16,16,8,8,8,4,8,12,8,
4,8,10,2,4,12,10,4,4,4,16,8,8,8,8,8,8,4,8,8,8,4,
4,4,8,2,4,4,8,6,4,4,4,4,4,8,8,8,8,4,4,4,4,4,4,
8,4,4,10,4,8,8,4,4,4,4,2,2,6,8,8,4,4,4,4,4,4,4,
4,6,4,6,6,4,4,2,2,4,4,6,4,4,2,2,8,4,4,4,2,4,2,
4,6,4,4,4,2,2,4,6,2,2,2,4,4,2],
[2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2],[44352000,40320],[44352000,1920],
[22176000,3840,320],[22176000,3840,40320,384],
[22176000,3840,1920,384],[22176000,3840,20160,960,96],
[22176000,3840,96],[22176000,3840,1920,32],
[22176000,1440,40320,1440],[22176000,1440,1920,32],
[22176000,1440,40],[22176000,1440,20160,960,48],
[14784000,240,40320,240],[14784000,240,13440,24],
[14784000,240,1920,16],[14784000,240,13440,240],
[14784000,240,1920,24],[14784000,240,640,16],
[11088000,1920,1920,20160,960,192,192,192],
[11088000,1920,1920,320,320],[11088000,1920,1920,1920,32,32],
[11088000,1920,1920,10080,480,48,48,48],
[11088000,1920,128,40320,384,128],
[11088000,1920,128,10080,480,48,48,16],
[11088000,1920,128,20160,160,192,32],
[11088000,1920,128,1920,32,16],[11088000,1920,128,32],
[11088000,1920,128,32],
[11088000,1920,128,20160,960,192,192,32],
[11088000,1920,128,320,64],
[11088000,1920,128,960,160,192,32],
[11088000,1920,128,1920,32,32],
[11088000,1920,128,1920,384,128],
[11088000,1920,32,20160,960,192,16,16],
[11088000,1920,32,10080,480,48,48,8],
[11088000,1920,32,960,160,16,8],
[11088000,1920,32,1920,192,16,16],
[11088000,5760,384,40320,1152,192],
[11088000,5760,384,20160,960,192,192,192,64],
[11088000,5760,384,320,64],[11088000,5760,384,96,32],
[11088000,5760,384,1920,384,64,64],
[11088000,5760,384,20160,160,192,32],
[11088000,5760,384,960,160,192,32],
[11088000,5760,384,1920,96,48],
[11088000,5760,144,10080,1440,144,48,24],
[11088000,5760,144,960,48,16,8],
[11088000,5760,144,20160,192,48,48],
[11088000,5760,144,30240,480,576,144,48],
[11088000,5760,144,960,192,48,16],
[11088000,5760,144,10080,1440,576,144,144],
[11088000,2160,60,20160,720,20,20],
[11088000,2160,60,960,16,20,4],
[11088000,1920,1440,48,10080,1440,48,16,32,48,8],
[11088000,1920,1440,48,20160,192,48,16],
[11088000,1920,1440,48,30240,480,192,48,1440,48,48],
[11088000,1920,1440,48,10080,1440,192,48,32,48,16],
[11088000,1920,1440,48,960,48,16,8],
[11088000,1920,1440,48,960,192,48,48],
[11088000,1920,1440,32,20160,960,192,16,96,16],
[11088000,1920,1440,32,960,160,16,8],
[11088000,1920,1440,32,20160,960,96,720,16,48,16],
[11088000,1920,1440,32,96,16],[11088000,1920,1440,32,40,8],
[11088000,1920,1440,32,1920,192,16,64,16],
[8870400,400,1920,20],[8870400,240,8064,24],
[8870400,240,1920,24],[8870400,20,384,4],
[8870400,20,1920,4],
[7392000,1440,120,120,6720,960,48,12,12,12],
[7392000,1440,120,120,1280,32,8,8,8],
[7392000,1440,120,120,26880,1440,120,120,120],
[7392000,1440,120,8,1280,32,8,8,4],
[7392000,1440,120,8,6720,960,48,12,12,4],
[7392000,1440,120,8,20160,320,48,120,8,8],
[7392000,1440,120,8,6720,960,48,8,120,8],
[7392000,3840,120,12,1280,32,12,8,4],
[7392000,3840,120,12,6720,960,96,12,8,4],
[7392000,3840,120,12,6720,960,96,120,12,12],
[7392000,3840,120,12,26880,384,120,12,12],
[7392000,480,120,12,6720,320,16,12,8,4],
[7392000,480,120,12,20160,960,48,120,12,12],
[7392000,480,120,12,13440,480,12,120,12],
[7392000,480,120,12,1920,32,8,12,4],
[7392000,1280,120,8,20160,960,96,120,8,8],
[7392000,1280,120,8,6720,320,32,120,8,8],
[7392000,1280,120,8,32,8],[7392000,1280,120,8,96,8],
[7392000,1280,120,8,13440,128,24,8],
[7392000,1280,120,8,1920,32,24,8],
[7392000,1280,120,8,1920,32,16,8],
[7392000,1280,120,8,640,128,16,8],[6336000,6,5760,6],
[6336000,6,1920,6],
[5544000,6720,1344,1344,1920,384,192,192,192,192],
[5544000,6720,1344,1344,40320,2688,1344,1344],
[5544000,6720,1344,1344,10080,480,160,96,96,96,32,32,32,32,
32],[5544000,6720,1344,1344,96,32,32],
[5544000,6720,576,288,96,10080,480,96,96,96,48,32,16,48,16,
16],
[5544000,6720,576,288,96,10080,1440,96,288,288,96,96,96,96,
96],[5544000,6720,576,288,96,960,192,48,32,16,32,32,16]
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288,96],
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[5544000,6720,576,288,96,20160,160,576,96,32,64,32],
[5544000,6720,576,288,96,960,192,48,32,16,32,16,16],
[5544000,6720,576,288,96,96,32,32],
[5544000,6720,576,288,96,30240,480,1440,96,288,288,96,192,96
],[5544000,6720,576,288,96,160,48,32,16,16],
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[5544000,2880,1440,192,96,32,32,20160,576,48,96,16,32,16],
[5544000,2880,1440,192,96,32,32,10080,480,96,96,96,48,32,
16,16,48,16],
[5544000,2880,1440,192,96,32,32,20160,960,192,192,192,1440,
32,96,64,96,32,32,32],
[5544000,2880,1440,192,96,32,32,40,8,8],
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[5544000,2880,1440,192,96,32,32,10080,1440,96,288,96,32,64,
96,32,32,16,32,16,16,16],
[5544000,2880,1440,192,96,32,32,960,160,192,32,32,32,16,16]
,[5544000,2880,1440,192,96,32,32,96,32,32,32],
[5544000,2880,1440,192,96,32,32,96,32,32],
[5544000,2880,1440,192,96,32,32,320,64,32],
[5544000,960,2160,120,48,24,10080,480,48,360,8,20,24,20,4,
8,4,4],[5544000,960,2160,120,48,24,48,20,8,4,4],
[5544000,2880,1440,72,72,48,12,960,96,48,8,32,4,8,4,24,8,
8,4],
[5544000,2880,1440,72,72,48,12,10080,1440,288,144,24,360,72,
72,12,72,12,24,24,24,12],
[5544000,2880,1440,72,72,48,12,10080,480,96,48,8,48,4,24,
8,4,8,8,4],
[5544000,2880,1440,72,72,48,12,20160,960,288,144,24,1080,24,
120,12,24,12,72,24,24,12],
[5544000,2880,128,192,64,10080,480,96,96,96,48,32,16,16],
[5544000,2880,128,192,64,20160,160,192,64,32,32,32,32],
[5544000,2880,128,192,64,10080,480,160,96,96,96,32,32,32,
32,32],[5544000,2880,128,192,64,16,16,16],
[5544000,2880,128,192,64,1920,96,16,32,48,16],
[5544000,2880,128,192,64,96,32,32],
[5544000,2880,128,192,64,1920,384,64,32,64,32],
[5544000,2880,128,192,64,32,32],
[5544000,2880,128,192,64,32,32],
[5544000,2880,128,192,64,160,48,32,16,16],
[5544000,2880,128,192,64,20160,960,576,192,32,64,96,32,32],
[5544000,2880,128,192,64,960,160,192,32,32,64,32,32],
[5544000,2880,128,192,32,10080,480,160,96,96,16,16,32,16,
16,16,8],
[5544000,2880,128,192,32,10080,480,96,96,96,48,32,32,16,16]
,[5544000,2880,128,192,32,10080,480,160,96,96,96,32,32,16
],[5544000,2880,128,192,32,20160,160,576,64,96,32,32],
[5544000,2880,128,192,32,10080,1440,96,288,96,32,32,128,32,
32,32],[5544000,2880,128,192,32,960,192,48,32,16,32,16]
,[5544000,2880,128,192,32,960,192,48,32,16,32,16],
[5544000,2880,128,192,32,160,48,32,16,16],
[5544000,2880,128,192,32,96,32,16],
[5544000,2880,128,192,32,960,160,192,32,64,32,32,32],
[5544000,2880,128,192,32,30240,480,672,96,96,128,32,96,32,
32],[5544000,2880,960,64,192,64,1920,96,32,16,48,16],
[5544000,2880,960,64,192,64,10080,480,160,96,96,96,160,16,
16,16,16,16],
[5544000,2880,960,64,192,64,10080,480,96,96,96,48,48,16,32,
16,16],
[5544000,2880,960,64,192,64,20160,960,576,192,32,192,32,96,
32,32],[5544000,2880,960,64,192,64,160,48,32,16,16],
[5544000,2880,960,64,192,64,16,16,16],
[5544000,2880,960,64,192,64,320,320,64,64,64],
[5544000,2880,960,64,192,64,1920,384,64,32,32,64,32],
[5544000,2880,960,64,192,64,96,32,32],
[5544000,2880,960,64,192,64,20160,960,192,192,192,192,64,64,
64,64],[5544000,2880,32,192,32,20160,576,48,96,16,16],
[5544000,2880,32,192,32,10080,480,96,96,96,48,16,32,16,16],
[5544000,2880,32,192,32,960,160,192,32,16,32,32,16],
[5544000,2880,32,192,32,10080,1440,96,288,96,32,16,16,32,
32,16],
[5544000,2880,32,192,32,10080,480,160,96,96,96,32,32,16],
[5544000,2880,32,192,32,96,32,16],
[5544000,2880,32,192,32,960,192,48,32,16,32,16],
[5544000,2880,32,192,32,160,48,32,16,16],
[5544000,960,720,960,16,16,16,40,8,8],
[5544000,960,720,960,16,16,16,10080,1440,96,96,16,32,48,96,
16,8,8,8,8,8],
[5544000,960,720,960,16,16,16,10080,480,48,48,360,8,24,48,
8,8,8,8],
[5544000,960,720,960,16,16,16,960,160,16,160,16,8,8,8],
[5544000,960,720,64,16,16,16,10080,480,48,48,360,8,24,16,
8,8,8,8],
[5544000,960,720,64,16,16,16,960,160,16,32,16,8,8,8],
[5544000,960,720,64,16,16,16,40,8,8],
[5544000,960,720,64,16,16,16,1920,192,16,64,16,64,16,16,16
],[5544000,960,720,64,16,16,16,20160,960,192,16,96,64,
16,16,16,16],[5544000,960,720,64,16,16,16,16,16,8],
[5544000,960,720,64,16,16,16,32,16],
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[5544000,960,720,32,16,8,10080,480,48,360,8,20,24,8,4,4],
[5544000,960,720,32,16,8,48,20,8,4,4],
[5544000,960,192,48,20160,480,80,192,96,64,32,32,16,16],
[5544000,960,192,48,10080,240,96,48,96,48],
[5544000,960,192,48,960,16,8,16,8],
[5544000,960,192,48,960,16,8,16,8],
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[5544000,960,192,48,480,240,96,96,48,48],
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[5544000,960,64,32,16,160,16,32,16],
[5544000,960,64,32,16,10080,960,80,96,16,16,8,16,8,8],
[5544000,960,64,32,16,960,16,16,16,8],
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[5544000,960,64,32,16,160,16,32,16],
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[5544000,960,64,32,16,960,192,16,64,16],
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24,12,4,4,4,4],
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24,96,24,24,8,8,8,8],
[5544000,2880,720,960,72,24,24,15120,720,96,288,72,24,720,
24,96,24,24,72,24,24,24],
[5544000,960,1440,16,48,8,5040,1200,96,24,24,8,32,48,4,8,
4,8,4,24,4],
[5544000,960,1440,16,48,8,15120,720,96,24,24,8,720,16,48,
8,4,4,8,24,4,4],
[5544000,960,1440,64,32,16,960,16,16,16,8],
[5544000,960,1440,64,32,16,20160,192,64,16,16],
[5544000,960,1440,64,32,16,10080,960,80,96,16,96,16,8,16,
8,8],
[5544000,960,1440,64,32,16,1440,80,96,16,64,8,16,8,16,8],
[5544000,960,1440,64,32,16,960,192,16,64,16],
[5544000,960,1440,64,32,16,160,16,32,16],
[5544000,960,1440,64,32,16,160,16,32,16],
[5544000,960,1440,64,32,16,960,16,16,16,8],
[5544000,4800,64,384,16,30240,80,1056,64,16,192,32,16],
[5544000,4800,64,384,16,20160,480,80,576,96,96,16,16,96,32,
16,16,8],[5544000,4800,64,384,16,960,16,8,16,8],
[5544000,4800,64,384,16,10080,240,96,16,32,64,32,16],
[5544000,4800,64,384,16,10080,960,80,96,192,96,32,16,16,32,
32,16,16,8],[5544000,4800,64,384,16,960,16,8,16,8],
[5544000,4800,64,384,16,480,240,96,32,16,64,32,16],
[5544000,4800,64,384,16,1440,80,288,64,16,64,64,32,16],
[5544000,2880,720,16,192,16,8,1440,80,96,48,32,4,8,16,24,
4,8,4],
[5544000,2880,720,16,192,16,8,10080,960,80,96,48,48,8,4,
16,24,8,4,4],
[5544000,2880,720,64,72,24,8,5040,1200,72,24,32,16,24,8,
16,12,4,4,4,4],
[5544000,2880,720,64,72,24,8,15120,720,288,96,72,24,16,24,
8,16,24,8,8,8,4],
[5544000,2880,720,64,72,24,8,5040,1200,384,72,24,16,24,8,
64,8,72,8,24,8],
[5544000,2880,720,64,72,24,8,25200,240,384,72,24,720,24,64,
8,24,24,8,24,8],
[5544000,4800,16,144,8,5040,1200,288,120,24,24,4,8,12,4,8,
72,4],
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312,120,96,24,16,48,80,12,80,12,32,32,48,32,16,8,8,
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72,72,48,24,12,12,8,8,24,8,16,8,8,12,12,4,36,8,8,4,
12,4,4,4,12,4,8,8,8,4,12,4,4,4,12,4,8,4,8,4,4,12,
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552,72,120,24,40,72,40,40,16,56,40,8,24,40,8,8,216,
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8,24,8,8,8,8,24,24,8,8,8,24,24,40,8,8,40,8,8,8,8,
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48,48,8,8,8,16,16,48,48,8,16,48,8,8,8,8,8,8,8,8,8,
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96,48,48,4,4,48,8,96,96,8,16,96,8,8,8,4,48,8,48,4,
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552,168,120,88,168,40,24,40,24,24,4,4,88,8,24,24,40,
216,40,8,88,24,24,72,24,48,72,168,8,24,8,8,24,8,8,4,
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240,48,48,24,16,48,80,24,16,8,32,4,4,16,48,32,16,48,
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8,4,4,4,4,8,16,4,8,16,8,4,4,8,4,8,8,4,8,8,8,8,8,
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8,12,12,12,8,8,12,8,8,8,8,8,4,4,4,4,4,4,4,4,4,4,
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24,12,4,72,8,336,24,12,4,12,36,4,36,4,24,12,4,12,8,
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72,8,8,4,24,8,32,36,12,12,36,16,12,12,20,4,4,12,16,
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600,40,24,24,24,16,24,8,12,12,8,8,8,24,12,24,8,4,4,
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2,2,2,2,2,2,2,4,4,4,12,4,4,4,4,4,4,4,4,4,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
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12,4,12,4,4,4,4,4,4,4,4,4,4,2,2,8,8,8,8,4,4,4,4,
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20,40,48,8,24,40,4,4,4,4,360,208,16,16,40,48,32,24,
24,4,24,204,16,180,12,20,48,24,12,12,4,24,12,24,168,
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12,4,8,12,12,4,8,8,4,24,8,8,16,12,16,24,4,4,8,4,8,
32,24,12,40,4,8,40,8,4,4,4,8,4,16,16,12,12,32,24,
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8,4,4,4,8,8,4,4,4,16,4,12,8,12,4,4,12,4,8,16,8,8,
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16,48,16,64,8,16,64,32,8,16,8,16,16,32,8,8,8,24,8,
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16,12,8,24,8,12,4,4,4,4,12,12,4,4,4,8,4,8,4,4,4,
4,2520,600,40,72,168,96,48,64,16,24,8,12,20,8,8,16,8,
32,4,4,4,4,40,8,40,64,8,24,48,24,12,24,12,32,36,4,
4,8,8,12,4,4,8,4,48,8,16,24,24,28,12,8,12,12,8,4,
36,4,4,8,4,4,8,8,4,4,4,8,8,8,4,16,4,8,12,12,8,12,
8,8,12,4,8,8,4,4,4,8,8,4,4,8,16,4,4,4,4,8,4,4,8,
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8,8,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,
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16,12,8,24,8,12,4,4,4,4,12,12,4,4,4,8,4,8,4,4,4,
4,80,24,8,8,16,8,8,8,8,8,8,8,8,8,8,8,4,4,4,8,8,
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12,4,16,4,4,4,4,8,8,8,8,4,4,8,4,8,4,12,4,4,4,8,
4,4,4,4,20,8,8,4,4,8,8,8,8,4,4,8,8,8,8,4,8,4,4,
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12,4,16,4,4,4,4,8,8,8,8,4,4,8,4,8,4,12,4,4,4,8,
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16,32,48,24,4,12,24,12,72,28,8,84,52,8,24,28,12,44,
4,28,48,16,8,4,24,4,24,8,4,4,8,8,44,8,8,28,12,4,4,
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8,4,8,4,4,8,8,4,4,4,4,4,4,4,8,4,4,8,4,8,8,8,8,
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12,4,16,4,4,4,4,8,8,8,8,4,4,8,4,8,4,12,4,4,4,8,
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4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
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4,4,4,4,12,4,4,4,8,8,4,4,12,4,4,4,4,4,4,8,4,4,4,
4,4,4,4,4,4,4,4,24,12,12,8,8,12,8,12,12,12,8,4,4,
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4,4,4,4,12,4,4,4,8,8,4,4,12,4,4,4,4,4,4,8,4,4,4,
4,4,4,4,4,4,4,4,480,96,48,20,24,24,4,4,24,48,48,4,
48,4,4,24,24,4,4,24,4,24,4,4,4,4,4,4,4,4,4,4,4,
24,4,4,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,
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4,4,4,4,12,4,4,4,8,8,4,4,12,4,4,4,4,4,4,8,4,4,4,
4,4,4,4,4,4,4,4,3780,420,100,276,84,60,36,44,16,24,
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4,4,4,4,4,36,4,12,4,4,12,4,8,4,4,4,4,12,4,4,4,12,
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4,4,4,12,4,4,4,4,4,4,4,4,84,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,84,4,4,4,4,4,80,24,20,16,8,4,8,8,4,8,8,4,
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4,4,4,4,4,4,4,4,4,4,4,84,4,84,4,4,4,4,4,4,4,4,4,
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12,24,40,24,8,16,8,8,8,8,8,8,4,24,8,16,8,8,12,12,
4,36,4,12,4,12,4,4,8,8,4,12,4,4,4,12,4,4,4,4,4,4,
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4,4,4,4,12,4,4,8,8,8,8,4,4,12,4,4,4,8,8,8,8,8,8,
8,8,8,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
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4,4,4,4,4,3780,420,20,276,84,60,12,44,16,20,24,84,20,
12,12,20,4,12,12,44,4,12,12,20,4,4,4,108,20,4,4,44,
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4,4,4,4,4,480,80,96,24,48,24,24,4,4,24,16,8,48,48,
48,8,8,4,24,24,4,4,8,24,8,4,24,4,4,4,4,4,4,4,4,4,
24,8,4,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,
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4,4,4,4,4,2520,120,40,72,72,48,48,180,4,12,24,40,24,
8,16,8,4,4,8,8,8,4,24,8,24,8,8,12,12,4,36,4,12,4,
12,4,4,8,16,4,12,4,4,4,12,4,4,4,4,4,4,8,8,8,4,16,
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4,4,4,12,4,4,8,8,4,16,4,4,12,4,4,4,4,8,8,8,8,4,
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4,4,4,4,4,2520,120,40,120,24,24,8,24,40,8,16,12,12,
8,24,16,8,24,8,24,8,16,16,8,8,8,8,8,12,12,12,8,8,
8,8,16,8,12,24,8,4,12,4,12,4,4,4,4,4,4,4,4,4,4,
12,4,12,4,8,12,8,4,4,8,4,8,4,4,4,4,4,4,4,4,4,4,
4,4,4,12,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,
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4,4,12,4,4,4,4,4,8,8,8,12,4,4,4,4,4,4,8,4,4,8,8,
4,4,4,4,3780,420,20,276,84,60,12,44,16,24,84,20,12,
12,20,4,12,12,8,8,44,4,12,12,20,4,4,4,108,20,4,4,
44,12,12,36,12,4,24,8,4,8,8,4,4,4,4,36,84,4,4,12,
4,4,4,4,12,4,4,4,4,4,4,4,8,12,4,12,8,8,4,36,4,4,
4,12,4,4,4,12,12,12,4,44,4,8,4,12,4,20,4,4,4,4,4,
4,4,4,4,8,8,4,4,4,8,4,4,8,8,8,8,4,4,4,4,4,36,4,
8,12,4,4,12,4,4,4,4,4,12,8,4,4,4,12,8,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,
4,4,4,4,4,4,4,4,8,8,8,8,4,12,8,4,4,4,4,4,4,4,4,
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4,4,12,4,4,4,4,4,8,8,8,12,4,4,4,4,4,4,8,4,4,8,8,
4,4,4,4,2520,120,40,120,24,24,8,20,24,40,8,16,4,4,8,
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8,8,16,8,4,24,8,4,4,4,12,4,12,4,4,4,4,4,4,4,4,4,
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4,4,12,4,4,4,4,4,8,8,8,12,4,4,4,4,4,4,8,4,4,8,8,
4,4,4,4,2520,600,40,72,168,48,24,48,180,4,12,24,40,
24,24,8,16,8,24,4,4,8,8,24,8,4,24,8,16,48,8,8,48,
12,12,4,36,4,12,4,12,4,4,48,8,8,4,12,4,4,4,12,4,4,
4,4,4,4,8,8,8,4,24,8,24,4,4,8,8,12,4,4,4,24,8,16,
8,4,8,24,8,8,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,
4,8,8,8,8,8,8,4,24,8,4,4,12,4,4,4,8,4,12,8,12,8,
8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
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8,8,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,4,4,4,4,
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4,4,12,4,4,4,4,4,8,8,8,12,4,4,4,4,4,4,8,4,4,8,8,
4,4,4,4,80,48,4,4,16,16,8,8,8,4,8,4,4,8,8,4,8,4,
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4,12,4,12,12,8,12,14,4,4,6,2,10,6,2,6,2,2,2,6,12,
4,2,4,6,2,4,8,2,2,2,2,2,2,2,6,2,4,2,2,2,2,2,
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6,2,4,24,12,18,4,48,12,8,4,12,90,122,26,18,42,20,32,
24,30,8,30,96,18,108,18,14,60,32,4,18,18,6,32,4,18,
24,20,18,30,12,96,18,6,8,8,90,6,4,12,12,14,32,2,4,
18,6,4,4,8,4,18,4,18,8,6,2,2,4,6,12,6,12,6,24,2,
2,2,12,12,14,12,2,4,4,24,6,8,4,12,14,2,2,4,4,4,4,
4,2,6,6,4,14,18,4,4,2,2,4,4,6,6,12,2,12,18,4,4,4,
12,14,14,8,8,2,2,2,2,90,6,12,2,18,12,4,4,2,2,2,12,
12,4,2,4,2,2,4,2,4,2,2,2,2,2,4,2,4,12,6,2,4,4,2,
2,2,8,6,6,12,4,2,6,8,2,8,4,2,12,2,2,12,2,4,2,14,
2,12,4,2,4,4,4,6,6,2,2,2,2,2,2,4,2,8,2,6,10,6,2,
6,2,2,2,2,2,2,4,6,2,2,2,2,2,2,2,2,2,2,2,2,6,6,
2,12,4,2,2,2,2,2,2,4,2,6,6,2,2,2,4,2,2,4,6,4,8,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,
2,4,2,2,2,2,2,2,2,2,2],
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24,24,20,4,4,6,18,4,4,18,8,14,12,2,90,18,12,4,4,2,
4,12,4,12,12,8,12,14,4,4,6,2,10,6,2,6,2,2,2,6,12,
4,2,4,6,2,4,8,2,2,2,2,2,2,2,6,2,4,2,2,2,2,2,
4410,210,110,402,42,54,30,10,8,12,24,40,4,6,24,2,26,
2,4,16,20,14,4,4,8,186,18,34,18,10,48,20,6,4,6,36,
10,2,18,4,4,6,2,6,4,2,168,12,8,6,6,8,10,30,4,8,18,
10,20,12,12,6,10,4,2,6,4,4,8,2,2,12,6,2,2,4,8,6,
10,2,16,2,2,4,6,4,12,8,2,4,6,8,4,4,14,4,8,6,2,2,
12,4,4,6,6,2,2,4,4,2,2,4,18,12,2,12,6,6,2,2,2,2,
2,2,18,4,6,8,6,6,2,4,2,2,4,4,2,4,2,4,2,4,4,2,2,
2,2,2,2,2,4,4,12,6,2,4,2,2,4,6,12,8,6,2,2,4,6,8,
2,4,8,2,4,2,2,4,2,2,4,4,6,2,2,4,2,6,6,2,2,2,2,
2,6,2,8,2,4,10,2,2,6,6,2,2,2,2,2,2,2,6,4,2,2,2,
2,2,2,2,2,2,6,6,2,2,4,2,4,2,2,2,2,4,2,6,6,2,2,
2,2,2,2,4,4,2,8,2,6,2,4,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,6,2,2,2,4,2,2,2,2,2,2,2,2,2,2],
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40,24,4,4,4,6,18,4,4,34,22,4,2,90,18,12,4,4,2,4,
20,4,12,4,16,14,4,4,6,18,2,2,6,2,2,2,2,6,12,4,12,
6,2,2,4,8,2,2,2,2,2,2,2,6,2,4,2,2,2,2,2,1890,330,
110,90,66,54,30,34,8,12,24,40,4,6,10,30,2,4,16,20,
26,4,24,4,18,18,34,18,34,20,32,24,18,8,6,12,10,2,10,
4,4,6,2,10,4,2,24,12,8,6,18,8,22,10,8,8,6,14,12,
12,8,6,6,4,2,10,4,4,16,2,2,6,2,2,4,8,6,12,10,4,6,
12,12,10,6,12,6,16,8,2,4,6,8,4,4,2,4,2,2,2,4,4,4,
2,6,6,2,4,2,2,4,4,6,6,12,2,12,18,2,2,2,2,2,2,6,
8,6,4,6,10,2,4,2,2,4,4,2,4,2,4,2,4,2,4,2,2,2,2,
2,2,4,4,4,12,4,6,2,4,2,2,4,6,8,6,2,12,4,2,2,4,2,
6,4,2,2,8,2,2,4,4,6,2,2,4,6,6,2,2,2,4,8,4,6,6,
10,2,2,2,2,2,2,2,2,6,2,6,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,6,6,2,4,2,4,2,4,6,2,6,2,2,2,2,2,2,2,2,
2,4,4,2,2,4,6,2,8,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,6,2,2,2,4,2,2,2,2,2,2,2,2,2],
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40,24,4,4,4,6,18,4,4,34,22,4,2,90,18,12,4,4,2,4,
20,4,12,4,16,14,4,4,6,18,2,2,6,2,2,2,2,6,12,4,12,
6,2,2,4,8,2,2,2,2,2,2,2,6,2,4,2,2,2,2,2,6930,330,
70,618,162,174,30,18,360,32,60,48,4,18,112,22,34,2,4,
40,12,6,4,24,4,4,4,258,122,26,18,18,48,20,18,4,30,
120,18,108,18,22,60,32,4,18,18,2,32,4,18,168,20,18,
18,12,96,6,26,4,8,102,2,12,12,16,14,32,6,4,18,2,4,
4,4,18,4,18,8,12,6,2,2,4,6,6,16,18,20,12,2,6,2,40,
14,12,2,4,4,24,2,4,4,2,2,2,4,4,4,4,4,6,6,2,4,14,
18,4,4,4,2,2,4,34,20,2,12,6,6,4,16,14,22,4,4,2,2,
2,2,90,12,2,12,6,18,12,4,2,2,2,12,12,4,2,4,2,2,4,
4,2,2,2,2,2,2,4,2,4,20,6,2,12,4,2,2,2,12,8,6,6,
2,4,2,4,2,2,16,6,2,12,2,4,2,14,2,12,4,2,4,4,4,2,
6,6,2,8,6,2,2,18,12,2,2,2,2,2,2,2,2,6,2,6,2,2,2,
2,2,2,2,2,2,2,2,2,2,6,2,2,6,2,12,4,2,12,2,6,2,6,
2,2,2,2,2,2,2,4,2,2,4,2,8,4,6,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,6,2,2,4,2,2,2,2,2,2,2,2,
2,2],
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12,4,12,16,12,12,12,12,12,6,12,6,12,8,16,6,2,2,12,
12,12,12,6,2,2,12,4,6,2,16,2,12,2,2,12,2,12,12,12,
12,12,12,12,4,2,2,4,2,2,2,2,2,2,2,12,12,12,2,4,2,
6,2,2,2,12,12,2,2,2,2,2,2,2,2,2,2,2,2,2,12,2,2,
2,2,2,2,2,2,2,2520,360,40,72,120,72,12,32,270,30,10,
54,12,20,4,6,4,6,4,4,4,4,4,4,12,4,20,6,4,6,6,32,
8,4,32,8,16,24,12,2,6,12,6,36,10,2,14,4,42,26,4,12,
14,6,22,2,2,14,24,8,4,2,12,2,12,4,2,2,4,4,22,2,4,
4,14,6,2,2,6,2,2,2,12,2,12,2,4,4,4,4,4,4,4,2,4,
2,4,4,2,2,2,4,4,4,2,2,4,4,4,4,4,6,6,6,2,4,4,2,
4,2,4,2,4,2,4,4,4,4,4,2,2,4,4,4,4,4,4,4,4,2,2,
6,4,4,4,4,4,4,4,4,4,4,4,8,6,6,2,2,6,2,2,2,12,4,
2,2,2,4,4,4,2,2,4,4,2,2,4,2,4,2,2,2,2,2,2,2,4,
4,4,4,2,2,2,4,2,4,4,4,4,2,2,4,6,4,6,2,2,2,2,2,
2,4,4,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,4,4,
4,4,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,
4,2,2,2,2,2,2,2,2,2,2,4,2,4,2,2,2,2,2,2,4,4,2,
2,4,4,2,2,2,2,2,2,4,2,2,4,2,2,2,2,2,4,4,4,4,2,
4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,
2,2,2,2,2,2],
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12,4,12,16,12,12,12,12,12,6,12,6,12,8,16,6,2,2,12,
12,12,12,6,2,2,12,4,6,2,16,2,12,2,2,12,2,12,12,12,
12,12,12,12,4,2,2,4,2,2,2,2,2,2,2,12,12,12,2,4,2,
6,2,2,2,12,12,2,2,2,2,2,2,2,2,2,2,2,2,2,12,2,2,
2,2,2,2,2,2,2,3780,180,20,276,36,36,48,12,90,10,10,
18,24,6,16,6,8,16,2,4,2,2,108,12,4,24,12,12,4,12,2,
6,24,6,10,2,2,36,6,6,12,12,2,2,2,6,2,2,12,84,4,16,
2,2,4,2,4,12,2,12,24,12,2,2,4,12,2,2,6,6,2,2,2,2,
2,2,12,2,12,2,4,2,2,2,4,4,2,12,2,12,16,4,2,2,2,6,
12,4,2,2,2,2,2,2,4,2,2,8,4,2,2,4,4,4,12,2,2,2,
12,12,2,2,12,2,2,2,2,6,2,2,2,2,2,2,12,2,2,2,2,2,
4,4,2,6,2,2,2,2,4,2,16,12,12,2,2,6,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,12,2,2,2,4,4,2,2,2,2,2,2,2,2,2,
2,2,2,4,4,2,2,12,12,2,2,2,4,2,2,2,6,2,2,2,2,2,2,
2,12,2,2,12,2,2,2,2,2,2,2,2,2,2,2,2,12,2,2,2,2,
2,2,2,2,2],
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8,4,4,4,6,6,4,8,8,6,2,2,4,12,12,4,6,2,2,4,4,6,2,
8,2,2,2,2,4,4,4,4,2,2,4,2,4,4,4,2,2,2,4,2,6,2,
2,2,4,2,4,2,2,4,4,2,2,2,4,2,2,2,2,2,3780,180,20,
276,36,36,24,12,90,10,10,18,24,6,16,6,8,4,4,16,2,4,
2,2,108,12,4,16,12,12,4,12,2,6,24,6,2,20,6,6,4,12,
2,2,2,6,2,2,12,84,4,8,2,2,4,2,4,12,2,12,16,12,2,
2,4,4,2,2,6,6,2,2,2,2,4,4,4,4,2,12,2,4,2,2,2,4,
4,2,12,2,4,4,8,4,2,2,2,6,4,4,2,2,2,2,4,4,4,4,2,
2,8,4,2,2,4,4,4,12,2,2,2,12,4,4,2,2,4,4,2,2,2,6,
2,2,2,2,2,2,4,2,2,2,2,2,4,4,2,6,2,2,2,2,4,2,8,
4,2,2,6,2,2,2,2,2,2,2,2,2,2,2,4,4,4,2,2,4,4,2,
2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,2,2,2,2,4,2,2,2,
6,2,2,2,2,2,4,2,2,4,2,2,4,4,2,2,2,2,2,2,2,2,2,
2,4,2,2,2,2,2,2],
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8,4,4,4,6,6,4,8,8,6,2,2,4,12,12,4,6,2,2,4,4,6,2,
8,2,2,2,2,4,4,4,4,2,2,4,2,4,4,4,2,2,2,4,2,6,2,
2,2,4,2,4,2,2,4,4,2,2,2,4,2,2,2,2,2,2520,360,40,
72,120,72,36,32,270,30,10,54,12,20,4,6,4,6,4,4,4,4,
12,4,20,6,4,6,6,32,8,12,32,8,16,24,12,2,6,12,6,36,
14,4,42,26,4,12,14,6,22,2,2,14,24,8,12,2,12,2,12,4,
2,2,4,4,22,2,4,4,14,6,2,2,6,2,12,2,12,2,4,4,4,8,
4,2,4,2,4,4,2,2,2,4,4,4,2,2,4,4,8,4,4,6,6,6,2,
4,4,2,4,2,4,2,4,2,4,4,4,4,2,2,6,4,4,4,4,4,8,6,
6,2,2,6,2,2,2,12,4,2,2,2,4,4,8,2,2,4,2,2,4,4,2,
2,2,2,2,2,2,4,2,2,2,4,2,4,4,4,4,2,2,4,6,4,4,6,
2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,4,4,4,4,2,2,4,2,
2,2,2,2,2,2,2,2,2,4,2,4,2,4,4,4,2,2,2,2,2,2,4,
2,2,4,2,2,2,2,2,2,2,4,4,2,2,4,4,2,2,2,2,2,2,2,
2,2,2,2,4,2,2,2,2,2],
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12,30,4,4,8,18,8,16,2,12,12,4,8,12,4,12,8,8,4,8,6,
8,4,4,12,8,2,2,2,6,8,4,4,4,8,4,4,6,2,2,2,2,2,4,
6,2,2,2,2,2,2,5670,270,50,438,78,78,42,10,180,20,36,
72,16,30,6,4,36,12,18,16,2,6,2,2,186,30,22,18,10,24,
12,6,2,18,42,10,18,8,28,24,16,4,12,8,4,12,4,8,168,
12,8,6,6,2,6,6,18,2,10,18,2,2,6,16,8,12,12,4,8,4,
4,4,4,2,6,2,6,10,12,10,6,6,4,6,10,6,8,8,16,4,4,8,
4,8,4,24,10,6,2,2,2,2,2,6,14,6,2,8,4,4,2,2,2,2,
4,4,18,12,12,6,2,6,8,4,12,2,2,2,2,10,6,6,2,2,2,6,
4,6,2,2,2,2,4,4,4,4,12,6,2,4,2,2,2,2,12,2,6,6,8,
4,2,4,8,2,2,6,6,2,2,2,2,2,2,4,2,4,4,4,2,6,6,2,
8,6,2,2,6,2,2,2,2,4,4,2,2,2,2,2,2,2,2,8,4,4,4,
4,8,4,4,2,2,2,2,2,2,6,6,2,2,2,2,2,2,2,2,2,6,2,
6,2,4,6,2,8,2,4,2,2,2,2,2,2,2,4,4,4,4,2,2,2,2,
2,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,6,
2,2,2,2,2,2,2,2,2,2,2,2],
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12,30,4,4,8,18,8,16,2,12,12,4,8,12,4,12,8,8,4,8,6,
8,4,4,12,8,2,2,2,6,8,4,4,4,8,4,4,6,2,2,2,2,2,4,
6,2,2,2,2,2,2,3150,390,130,126,102,78,18,34,180,20,
36,16,8,34,6,4,28,12,30,40,6,2,6,6,18,30,38,10,34,
20,32,24,18,2,6,18,6,18,8,12,24,16,4,12,8,12,12,4,
8,24,20,2,18,2,6,18,6,2,2,6,6,10,6,8,8,12,4,4,8,
12,4,4,20,2,6,2,6,6,10,6,6,4,10,10,12,6,4,12,12,
16,8,4,8,4,16,4,2,2,6,6,10,2,2,2,8,2,14,6,2,2,4,
4,2,2,4,4,6,2,6,12,12,18,4,4,4,4,4,2,2,2,2,2,6,
6,10,2,2,6,6,4,2,2,2,2,4,4,4,4,12,6,2,4,2,2,2,2,
8,6,2,6,12,2,4,8,4,6,2,2,2,2,2,6,2,2,2,4,2,4,4,
4,2,6,6,2,2,8,2,2,2,6,6,4,2,2,4,2,2,2,2,2,2,2,
2,4,8,4,4,8,4,4,4,2,2,6,2,6,2,2,2,2,2,2,2,2,2,
2,2,2,6,2,6,6,8,2,2,4,2,2,4,2,2,2,2,2,4,2,4,4,
4,2,2,2,2,2,2,2,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,4,2,6,2,2,2,2,2,2,2,2,2,2,2],
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180,12,12,20,20,20,12,6,12,16,16,2,2,2,6,12,16,12,
12,2,6,2,2,2,2,12,6,2,2,2,2,2,2,5670,270,130,582,
126,150,18,18,56,38,6,4,28,12,10,6,6,10,6,258,110,38,
18,18,72,28,18,6,18,114,18,90,168,20,18,18,18,90,10,
38,6,6,102,10,30,18,6,12,10,6,6,4,10,10,6,12,20,20,
10,6,10,6,10,6,6,10,6,6,2,4,4,6,6,34,24,12,10,2,6,
6,6,2,2,2,2,90,30,6,18,6,4,6,6,6,20,6,2,12,8,12,
10,6,10,4,6,10,6,10,6,6,6,4,6,2,6,6,2,2,2,12,12,
10,6,8,6,6,6,10,6,6,6,6,10,10,6,6,2,2,2,2,2,2,2,
2,6,2,2,6,12,2,10,4,8,6,6,6,6,4,6,4,6,6,2,2,2,2,
2,6,2,6,2,2,2,2,2,2,2,2,2,2,6,4,2,6,2,2,2,2,2,
2,2,2,2,2,2],
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180,12,12,20,20,20,12,6,12,16,16,2,2,2,6,12,16,12,
12,2,6,2,2,2,2,12,6,2,2,2,2,2,2,3150,390,50,270,
150,150,42,42,8,10,6,4,20,12,22,24,10,10,6,10,90,110,
22,26,42,20,32,24,30,14,30,90,22,90,24,12,8,22,30,18,
90,22,10,14,14,90,14,6,18,10,10,6,6,4,6,10,12,6,4,
12,4,4,4,4,12,10,10,6,10,10,6,6,6,2,6,6,6,6,4,4,
10,2,6,16,12,18,10,10,2,2,2,2,90,6,14,18,6,6,4,6,
6,4,12,4,6,2,4,6,10,10,8,12,6,4,10,10,6,6,6,6,4,
6,2,6,6,2,2,4,2,4,4,4,6,6,8,6,10,10,6,10,6,6,6,
6,6,10,6,2,2,2,2,2,2,2,2,2,2,6,6,2,4,6,8,6,10,6,
4,6,6,4,4,6,6,2,2,2,2,6,6,2,2,2,2,2,2,2,2,2,2,
2,2,6,4,6,2,2,2,2,2,2,2,2,2,2,2,2],
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2,2,12,4,6,4,2,4,6,4,4,4,4,4,2,2,2,8,2,4,2,2,2,
4,4,2,2,2,2,4,2,2,2,2520,480,20,72,96,48,12,20,180,
20,10,12,24,8,12,8,4,6,2,6,4,4,4,16,8,2,12,24,8,4,
8,12,6,12,12,4,36,10,2,4,12,4,12,2,4,2,4,4,12,8,4,
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2,2,4,12,4,2,6,2,4,2,2,2,4,4,2,4,4,2,4,2,2,6,2,
4,2,4,4,2,4,2,4,2,4,4,2,4,4,4,2,2,2,2,2,2,2,2,
4,8,2,2,2,2,4,2,2,2,2,2,2,2,2,4,4,2,4,4,2,2,2,
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6,4,6,4,2,6,4,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,2,
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4,32,8,8,8,4,12,4,24,24,12,8,40,4,24,20,4,8,4,20,
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8,8,8,72,8,8,8,8,8,8,8,8,8,8,8,8,2,72,8,8,8,8,8,
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4,2,8,2,2],
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24,8,12,8,4,8,4,4,8,24,4,2,4,4,8,3,1,2,4,1,1],
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40,40,40,40,40,40,40,40,40,40,40,40,40,40,4,4,4,4,4,
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4,4,4,4,4,180,24,4,24,4,4,24,4,8,4,4,4,4,4,4,4,4,
24,24,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,24,4,4,4,
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4,4,4,4,4,840,280,24,72,64,24,24,60,12,4,4,8,4,4,4,
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24,4,4,4,8,4,4,4,4,4,4,4,4,12,4,4,4,24,4,4,4,8,
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4,4,4,4,4,1260,140,60,60,28,36,36,20,8,16,4,8,8,12,
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8,8,8,8,4,4,4,4,4,4,4,4,8,8,12,8,4,4,12,8,12,8,
8,8,4,4,8,4,4,4,8,4,4,4,4,4,8,4,8,8,8,4,4,4,4,
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4,4,4,4,4,8,4,4,4,4,4,4,4,2940,60,60,268,12,36,36,
4,12,16,28,8,8,4,8,124,12,20,20,4,16,8,4,24,28,12,
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4,4,4,4,16,4,4,8,8,16,8,8,4,4,12,8,8,4,4,4,4,4,
8,12,4,8,4,4,8,8,4,4,4,8,16,4,4,4,4,4,4,4,4,4,8,
8,4,4,8,8,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,
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4,4,4,4,4,8,4,4,4,4,4,4,4,840,280,24,72,16,24,8,
16,24,8,60,4,8,4,8,8,32,8,8,8,4,12,4,12,12,4,4,8,
4,12,4,8,4,4,8,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,
8,4,8,4,4,4,4,4,8,12,4,8,4,4,4,4,8,4,4,4,4,4,4,
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4,4,4,4,4,8,4,4,4,4,4,4,4,3780,260,100,132,100,84,
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36,28,4,20,24,32,16,12,12,20,4,36,12,8,48,24,12,8,
24,12,4,8,4,4,16,24,4,12,12,12,4,4,4,8,4,24,4,12,
8,16,12,12,4,4,4,8,4,4,12,8,4,8,8,8,8,16,4,4,4,4,
8,8,12,8,8,4,8,12,8,4,4,4,4,4,4,12,8,8,4,4,8,4,
4,4,8,16,8,4,4,4,4,4,4,4,8,4,4,8,4,4,8,8,4,8,4,
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4,4,4,4,4,8,4,4,4,4,4,4,4,240,40,48,16,8,12,4,8,
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4,4,4,8,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,
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4,1260,380,20,60,76,36,12,28,12,8,4,12,8,24,8,12,16,
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4,12,4,4,4,4,8,4,8,8,4,4,4,4,4,4,4,4,4,4,4,4,4,
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8,8,8,8,8,16,8,24,8,8,12,12,4,4,4,4,4,8,8,4,8,4,
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8,40,24,8,4,4,40,8,24,8,40,104,40,8,40,24,24,24,24,
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56,56,4,4,56,56,56,56,56,56,56,56,2,2,4,56,56,56,56,
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48,28,8,16,32,8,8,8,28,8,8,8,20,8,3,3,1,3,1,3,3,
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3,3,1,3,1,3,1,1,1,1,1,1,16,8,4,4,4,8,4,4,4,3,1,
1,3,3,1,1,1,1,1,4,3,1,1,1,1,1,1,1,3780,420,20,244,
180,156,28,28,480,48,88,15,3,3,15,3,3,64,8,28,32,20,
4,4,24,4,8,32,8,8,8,60,100,4,20,28,8,8,28,8,28,72,
20,96,28,20,88,48,8,28,28,4,48,8,28,3,3,15,3,1,3,3,
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8,8,60,4,16,16,20,48,4,8,28,4,8,8,8,28,8,28,8,4,4,
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8,8,8,8,8,8,20,28,8,8,4,4,4,4,8,16,20,20,8,8,3,1,
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1,1,1,1,1,1,1,1,1,1,1,1,1,60,4,16,4,28,16,8,4,4,
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1,1,1,1,1,1,4,16,8,4,4,4,4,4,4,4,8,4,4,4,4,4,4,
4,3,1,1,3,1,1,1,1,1,1,1,1,3,1,3,1,3,1,3,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1,1,1,
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4,3,1,1,1,5460,180,100,628,84,132,12,12,60,12,4,80,
52,32,24,12,4,4,4,292,84,44,4,12,72,32,12,4,12,108,
4,60,4,12,4,4,224,32,4,12,60,12,44,4,4,84,4,16,4,
24,12,12,12,16,32,32,4,4,4,4,12,12,52,32,24,12,12,4,
4,6,4,2,3,1,4,60,16,4,32,12,4,16,4,24,4,12,4,4,12,
12,4,4,16,16,4,4,4,4,4,2,4,1,2,2,12,4,16,4,4,4,4,
4,4,4,3,1,3,1,2,4,3,1,1,1,1,1,1],
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1,1,1,1680,112,36,10,12,56,12,24,4,2,4,4,56,12,12,2,
4,4,2,12,4,2,2,4,4,4,12,6,2,4,2,2,2,2,2,6,4,2,2,
2,1,2,2,1,1,1],
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2,2,1,5,1,1,1,1,1],
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30,2,30,2,8,4,10,2,4,4,4,2,30,2,2,2,2,2,2,2,2,4,
4,2,2,2,10,5,1,2,2,2,2,2,2,2,2,1,1,2,2,1,1,5,1,
1,1],
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3,1,1,1,2016,320,80,48,56,24,16,132,20,44,30,6,2,30,
6,2,48,8,24,4,4,4,8,4,12,12,4,12,8,4,20,4,4,12,12,
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2,2,2,6,4,4,4,4,12,2,2,2,2,6,6,2,2,2,12,2,12,2,
2,2,6,2,2,2,2,2,2,2,2,6,2,2,2,12,2,2,2,2,2,2,2,
2,1,1,3,3,3,1,1,1,1,1,1],
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5,1,1,1,1,1,2,1,1,1,1,1,2,1,1,1,1008,240,24,24,36,
4,16,12,12,4,24,4,6,2,4,4,4,3,3,4,4,2,2,4,4,2,2,
3,3,1,1,1,1,1,1,1,1,4,2,2,2,3,1,1,1,1,1,1,1,1,
1,1,1,2,2,1,1,1,1,1,1,1,1,1,2,1,1,1,1],
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4,4,4,4,4,4],
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6,6,6,6,6,42,30,6,30,6,6,6,6,6,6,30,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,42,30,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,3150,510,30,390,102,90,
18,66,24,36,102,30,42,18,30,6,30,42,6,6,66,30,30,42,
30,6,6,6,210,30,30,6,66,30,30,66,30,6,60,12,6,12,12,
6,6,6,6,66,210,30,6,30,6,30,30,6,30,6,6,6,6,6,30,
30,6,42,6,42,6,6,6,66,30,30,30,30,6,6,30,30,42,30,
6,66,6,6,30,42,6,30,6,6,6,6,6,6,6,6,6,6,6,6,30,
30,6,6,30,30,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,
6,30,30,6,30,30,6,30,30,6,6,6,6,6,6,6,6,6,6,6,6,
6,66,30,6,42,6,6,30,30,6,6,6,6,6,6,42,6,6,42,6,42,
6,6,6,42,6,6,6,6,6,6,6,6,6,6,6,30,6,30,30,30,30,
6,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,30,
30,6,6,6,6,6,30,6,30,6,30,30,6,30,30,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,42,6,42,30,6,6,6,30,6,
6,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
30,6,6,6,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,42,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6],
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66,6,6,6,6,6,30,6,18,6,6,30,6,6,6,66,30,6,6,42,42,
6,6,30,30,6,6,6,6,6,30,6,6,30,30,6,6,6,6,6,6,6,6,
6,6,6,6,6,42,30,6,30,6,6,6,6,6,6,30,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,42,30,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,1260,60,60,36,36,24,
24,90,2,10,6,12,20,12,4,8,4,4,4,4,4,4,2,12,12,12,
12,12,18,6,6,18,10,2,2,6,2,6,2,2,2,12,12,6,6,6,6,
6,6,2,2,2,2,2,2,2,2,2,8,4,4,4,4,4,4,8,4,6,6,6,
6,4,8,8,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,6,2,2,8,
4,4,4,6,6,6,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,2,2,
2,2,2,2,2,6,6,6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,6,2,2,2,2,2,2,2,2,2,4,4,4,4,6,6,6,6,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,4,6,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2],
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66,6,6,6,18,6,18,6,6,18,6,18,6,6,90,18,42,18,6,42,
6,42,6,6,6,6,6,6,6,6,18,18,6,6,6,6,18,6,6,6,6,6,
6,6,6,6,6,6,42,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,42,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,3150,510,30,318,174,126,18,54,270,30,
54,102,30,42,18,30,18,18,42,6,6,54,6,18,42,30,6,6,6,
6,126,102,6,18,54,18,18,42,18,6,18,90,18,90,18,18,54,
30,6,18,18,6,30,6,18,42,42,6,6,18,18,18,90,6,6,6,6,
90,6,6,18,18,18,30,6,6,18,6,6,6,6,6,18,6,18,6,6,6,
6,42,6,42,6,6,6,42,6,6,18,6,6,18,6,6,6,6,6,18,42,
18,18,54,6,6,6,42,6,30,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,12,6,6,12,6,6,6,6,6,18,18,6,6,6,6,6,6,12,12,
6,12,6,12,6,6,6,18,18,18,6,6,6,6,6,6,90,6,6,18,6,
18,18,6,6,6,6,42,6,6,42,6,6,6,18,6,6,18,6,6,6,6,
6,6,6,6,42,6,6,42,6,6,6,42,6,6,6,42,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,18,6,6,
6,6,18,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,42,6,42,6,6,18,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
42,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6],
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66,6,6,6,18,6,18,6,6,18,6,18,6,6,90,18,42,18,6,42,
6,42,6,6,6,6,6,6,6,6,18,18,6,6,6,6,18,6,6,6,6,6,
6,6,6,6,6,6,42,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,42,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,1260,60,60,60,12,12,24,4,10,12,20,
12,4,4,8,4,4,4,12,8,4,12,4,20,8,4,24,8,4,8,4,2,4,
4,4,12,4,4,4,12,4,2,4,4,8,4,4,4,4,4,4,4,4,4,4,4,
4,4,8,4,4,8,4,12,4,4,2,2,2,2,2,2,6,2,6,2,2,2,2,
2,2,2,2,2,2,6,2,6,2,2,2,2,2,12,4,4,4,4,4,4,4,4,
4,2,2,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,
2,2,2,4,4,4,4,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2],
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2,30,2,6,2,30,2,2,2,6,42,30,2,6,6,2,2,30,30,2,2,
2,30,30,30,2,2,2,2,2,6,6,6,2,2,2,2,2,2,6,30,30,2,
2,2,2,30,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,30,2,
2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1260,300,60,
36,84,24,36,24,90,2,6,12,20,12,12,4,8,4,12,4,4,4,4,
12,4,2,12,12,16,24,12,12,24,4,18,6,14,18,2,6,2,6,2,
2,24,12,16,6,4,6,4,6,6,6,6,2,2,2,2,2,2,8,4,4,4,
12,8,12,4,4,8,4,6,6,4,4,6,6,12,4,8,8,4,4,12,8,4,
2,2,2,2,2,2,2,2,2,4,4,2,2,2,6,2,2,4,4,2,2,4,4,
4,4,8,4,4,12,8,6,4,6,6,2,2,2,2,4,2,6,4,6,4,4,2,
2,2,2,2,2,2,2,6,4,6,6,6,6,6,6,4,6,4,4,4,2,2,2,
2,2,2,2,2,2,2,4,6,4,4,4,4,4,4,4,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,4,2,4,2,4,4,6,4,4,2,2,4,2,2,6,
4,6,6,4,6,4,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,
4,4,4,4,2,2,2,4,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,4,4,2,6,4,2,2,2,2,4,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],
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2,30,2,6,2,30,2,2,2,6,42,30,2,6,6,2,2,30,30,2,2,
2,30,30,30,2,2,2,2,2,6,6,6,2,2,2,2,2,2,6,30,30,2,
2,2,2,30,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,30,2,
2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3150,270,30,
390,54,90,6,42,8,10,12,54,30,6,6,30,2,30,6,6,6,42,
30,30,6,30,2,2,2,210,30,30,2,42,30,30,42,30,2,60,4,
2,4,4,2,2,2,2,2,42,210,30,2,30,2,30,30,2,30,2,2,2,
2,2,2,30,30,6,6,2,6,6,6,2,42,30,30,30,30,2,2,30,
30,6,30,2,42,2,6,30,6,2,30,2,2,2,2,2,2,2,2,2,2,2,
30,30,2,2,30,30,2,2,2,2,2,2,2,4,2,2,2,2,2,2,30,
30,2,30,30,2,30,30,2,2,2,2,2,2,2,2,2,2,2,2,2,42,
30,6,6,2,2,30,30,2,2,2,2,2,2,6,2,4,2,2,2,2,6,4,
2,2,2,2,2,2,2,2,2,2,30,2,30,30,30,30,2,30,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,30,30,2,2,30,2,30,2,30,
30,2,30,30,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,
2,2,2,4,2,2,2,2,6,2,2,2,2,6,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,4,30,2,30,2,2,30,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,30,2,2,2,30,2,2,
2,2,6,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,30,2,
2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2],
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26,14,6,6,6,6,6,6,6,6,6,6,6,2,6,18,6,6,6,6,6,8,
6,6,2,2,6,6,2,6,6,2,6,6,6,2,6,6,6,6,4,4,2,2,6,
6,6,2,2,2,2,6,6,6,6,2,2,2,6,2,6,2,4,2,2,2,6,2,
2,2,2,2,2,2,2,2,2,4,2,6,2,2,2,4,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,1890,210,50,138,42,30,30,22,8,
12,42,10,6,6,10,10,22,6,6,6,22,2,6,6,10,2,4,6,2,
54,10,10,10,22,6,6,18,6,2,12,4,2,12,4,6,2,2,2,18,
42,2,6,6,2,2,2,2,4,6,4,6,6,2,2,2,2,2,6,6,6,6,6,
6,2,18,2,2,4,4,10,6,2,6,4,2,6,6,6,2,22,6,6,2,6,
6,10,10,4,6,2,4,6,2,2,2,2,2,2,2,2,4,4,2,2,2,2,2,
2,2,2,2,4,2,2,2,2,2,2,2,2,4,4,4,4,2,2,2,2,2,18,
2,6,6,6,2,6,2,4,2,6,2,2,2,6,4,2,2,2,6,4,4,4,4,
6,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,2,2,2,
2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,4,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,4,4,2,2,4,2,2,
2,2,2,2,2,2,4,4,2,6,2,6,2,2,2,6,4,2,2,6,6,2,2,
2,2,2,2,2,2,2,2,6,2,2,2,6,2,2,2,2,2,2,2,2,4,2,
2,2,2,2,2,2,2,2,2,2,2,6,4,2,2,2,2,2,2,2,2,2,2,
2,2,2,6,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2],
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26,14,6,6,6,6,6,6,6,6,6,6,6,2,6,18,6,6,6,6,6,8,
6,6,2,2,6,6,2,6,6,2,6,6,6,2,6,6,6,6,4,4,2,2,6,
6,6,2,2,2,2,6,6,6,6,2,2,2,6,2,6,2,4,2,2,2,6,2,
2,2,2,2,2,2,2,2,2,4,2,6,2,2,2,4,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2520,360,40,96,96,36,12,28,90,
18,10,30,24,40,12,12,40,8,12,12,4,4,12,16,12,12,8,8,
2,4,8,12,16,16,8,28,12,12,24,6,6,2,18,10,2,4,2,6,
10,6,4,4,2,2,2,4,24,8,4,2,6,4,4,2,2,2,6,2,2,2,2,
4,4,2,2,2,2,2,4,8,8,4,12,4,12,4,4,4,8,4,6,6,4,4,
6,2,4,8,12,12,8,4,4,4,16,12,4,8,4,2,4,8,6,2,6,2,
4,2,4,2,4,2,4,4,4,4,4,2,2,2,6,2,2,2,6,4,4,4,4,
4,4,4,4,2,6,4,4,4,4,4,4,4,4,2,2,2,6,2,2,6,2,4,
4,2,2,2,6,2,2,6,2,6,6,4,8,4,12,4,2,4,2,6,2,2,4,
4,2,2,4,2,4,2,2,2,6,4,6,2,4,4,2,2,4,4,2,2,4,6,
2,2,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,
2,4,4,2,4,2,2,2,2,2,2,2,2,4,4,2,4,4,2,2,2,2,4,
4,2,4,2,2,6,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,2,2,4,4,2,2,4,4,2,2,2,2,2,2,2,2,2,2,2,6,
2,6,2,2,2,6,6,4,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,4,2,6,4,4,2,2,4,4,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,4,4,4,4,2,2,2,2,2,4,4,2,2,
2,2,4,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,4,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,4,4,2,2,2,4,2,2,2,2,2,2,2,2,2,4,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2],
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18,18,42,10,10,10,6,6,18,10,18,6,6,10,18,10,18,6,2,
2,90,18,18,18,10,6,6,6,6,6,6,10,6,6,6,6,10,18,6,
18,6,6,6,10,6,6,6,18,6,6,10,10,6,6,6,6,6,6,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,18,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,10,6,6,6,6,6,2,2,2,2,2,2,6,6,6,2,
2,2,2,2,2,2,2,2,2,2,6,2,2,2,6,6,6,2,2,2,6,6,2,
2,2,2,2,2,6,2,2,2,2,2,6,6,2,2,2,2,6,2,2,2,2,2,
2,2,2,3150,270,30,318,126,126,30,30,270,30,10,54,54,
30,6,18,30,18,18,6,2,2,30,6,18,6,30,6,6,6,6,126,
102,6,22,30,18,18,18,18,6,18,90,18,90,10,2,18,26,54,
30,10,18,18,6,30,6,2,18,18,42,6,10,18,18,18,90,6,6,
6,6,90,6,6,18,22,18,30,2,6,10,18,6,6,6,6,2,2,6,18,
6,18,6,6,6,2,6,10,6,2,2,6,18,6,6,18,6,6,18,6,6,6,
6,6,18,6,18,18,30,6,2,6,6,10,30,10,6,6,6,6,6,10,6,
2,6,6,6,6,6,2,6,6,2,2,2,2,2,12,12,2,2,6,2,6,2,2,
2,6,18,18,6,6,2,2,6,6,2,2,2,2,12,12,12,12,6,6,6,
18,18,18,6,6,90,6,6,18,6,18,18,6,6,6,6,18,6,2,6,
10,6,6,18,6,6,18,2,6,2,10,6,6,6,6,2,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,10,6,6,2,2,2,6,2,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,10,6,10,6,
2,6,6,6,18,6,6,18,6,6,2,2,2,2,6,6,18,6,6,18,6,6,
6,2,2,2,2,2,6,2,6,2,6,6,2,2,10,6,6,6,2,2,2,2,12,
6,6,2,2,2,2,6,2,2,6,2,6,2,2,2,2,2,2,2,2,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,6,2,6,
2,2,2,2,6,6,2,2,2,2,6,6,18,2,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,2,2,6,6,6,6,2,6,6,6,
6,6,2,6,6,6,6,6,6,6,6,6,10,6,2,2,2,6,6,2,6,6,2,
6,2,2,2,2,6,6,2,6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,6,6,6,6,6,6,6,6,6,6,6,6,2,2,2,2,6,6,
6,6,2,2,2,2,2,2,6,6,6,2,2,2,2,2,2,2,2,6,2,6,6,
6,2,2,2,2,2,2,6,2,2,2,6,6,2,6,2,6,2,2,2,2,2,2,
6,2,2,2,2,2,2,2,2,2,2],
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18,18,42,10,10,10,6,6,18,10,18,6,6,10,18,10,18,6,2,
2,90,18,18,18,10,6,6,6,6,6,6,10,6,6,6,6,10,18,6,
18,6,6,6,10,6,6,6,18,6,6,10,10,6,6,6,6,6,6,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,18,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,10,6,6,6,6,6,2,2,2,2,2,2,6,6,6,2,
2,2,2,2,2,2,2,2,2,2,6,2,2,2,6,6,6,2,2,2,6,6,2,
2,2,2,2,2,6,2,2,2,2,2,6,6,2,2,2,2,6,2,2,2,2,2,
2,2,2,1260,300,60,60,60,12,12,28,16,24,12,20,12,4,8,
12,8,8,4,12,8,12,4,4,4,4,12,4,20,4,28,24,8,24,4,4,
8,8,4,8,4,24,4,4,12,4,4,4,12,4,4,4,8,8,4,4,8,12,
12,8,8,4,4,4,4,4,12,8,4,4,8,12,12,4,4,4,4,4,4,4,
4,4,4,4,2,6,6,6,2,6,4,4,4,8,4,4,8,4,8,4,4,4,4,
4,4,8,2,2,6,6,2,6,6,2,4,4,2,2,2,2,2,2,2,2,12,4,
4,4,4,8,12,4,4,4,4,4,2,2,6,6,6,2,6,2,4,8,4,4,2,
2,2,2,6,2,2,2,2,4,4,4,4,4,4,4,4,8,4,4,4,6,2,2,
4,4,4,2,6,6,6,2,6,2,4,8,4,4,8,4,8,4,4,4,4,4,4,
4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,4,4,4,4,4,
2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,6,2,6,2,2,6,6,
4,8,4,4,2,6,2,2,4,4,2,6,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,
6,2,6,2,2,2,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2],
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50,58,14,6,6,42,6,18,6,6,58,14,26,14,2,90,18,42,42,
6,6,6,6,14,10,6,42,6,34,14,14,22,18,6,6,6,34,42,34,
6,6,18,10,10,10,10,2,2,2,2,2,2,2,6,30,30,18,6,18,
10,10,10,6,6,6,14,6,6,6,6,10,6,34,6,6,10,6,6,6,2,
2,2,10,10,6,2,2,2,2,2,2,6,2,30,6,6,6,6,6,6,2,2,
2,6,2,2,2,2,6,2,2,2,6,6,2,2,10,6,2,2,6,6,2,2,2,
2,2,2,2,2,240,48,12,24,10,12,12,8,8,12,4,24,24,4,8,
2,24,4,4,4,2,8,12,4,12,8,8,4,4,12,8,12,4,2,2,2,2,
2,8,8,6,6,6,6,8,8,8,12,4,4,2,2,6,6,6,6,6,2,4,8,
4,4,4,2,2,2,2,6,8,4,4,8,8,8,4,4,6,6,6,2,2,2,2,
2,2,2,2,6,6,4,4,4,2,2,2,6,2,6,6,2,6,6,2,6,2,2,
4,8,4,4,6,2,2,2,2,2,2,2,2,2,4,6,6,2,2,2,2,2,6,
6,2,2,2,2,2,2,2,2,6,2,2,2,2,2],
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50,58,14,6,6,42,6,18,6,6,58,14,26,14,2,90,18,42,42,
6,6,6,6,14,10,6,42,6,34,14,14,22,18,6,6,6,34,42,34,
6,6,18,10,10,10,10,2,2,2,2,2,2,2,6,30,30,18,6,18,
10,10,10,6,6,6,14,6,6,6,6,10,6,34,6,6,10,6,6,6,2,
2,2,10,10,6,2,2,2,2,2,2,6,2,30,6,6,6,6,6,6,2,2,
2,6,2,2,2,2,6,2,2,2,6,6,2,2,10,6,2,2,6,6,2,2,2,
2,2,2,2,2,4410,330,90,570,138,186,30,50,270,30,54,66,
50,6,18,82,26,58,6,2,2,58,34,42,6,50,10,10,10,10,
282,122,42,22,50,66,50,42,42,10,30,138,22,90,18,26,54,
30,6,18,18,10,30,6,18,42,210,42,14,22,42,18,90,34,42,
10,10,114,14,18,18,22,18,30,10,6,18,10,6,6,14,6,18,
6,18,10,34,34,2,6,6,6,2,2,10,42,34,34,22,18,42,42,
10,10,14,10,34,50,6,42,18,50,10,2,34,6,6,50,14,10,
10,10,14,6,6,10,6,6,6,6,6,6,6,38,30,2,2,38,30,2,2,
6,6,2,2,6,18,18,6,6,2,6,6,2,2,2,54,46,2,30,38,2,
30,38,10,10,6,22,18,26,10,10,2,2,2,2,2,2,2,2,90,18,
10,18,10,18,18,10,6,6,10,42,34,2,6,6,10,6,42,34,10,
18,6,6,6,6,6,6,6,2,6,2,6,6,6,2,6,6,6,2,10,14,6,
10,10,6,10,6,10,6,10,6,6,6,6,2,2,6,14,34,10,42,30,
6,18,10,6,6,6,6,6,30,10,10,34,2,6,30,2,6,2,14,10,
10,6,10,14,14,6,10,6,10,10,22,10,6,18,14,6,6,6,18,
10,10,18,6,6,6,6,6,6,6,2,2,6,2,10,34,30,6,2,38,2,
30,2,30,34,2,30,34,2,2,2,6,2,6,6,2,2,6,10,6,10,10,
18,18,10,10,6,6,6,6,10,10,10,10,6,6,6,10,10,10,6,
10,10,6,6,10,10,6,6,6,6,10,6,10,6,10,10,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,6,6,30,2,6,30,6,2,6,2,6,30,6,10,18,6,6,6,
18,6,10,10,2,6,10,6,2,6,6,10,6,6,10,10,2,6,6,6,10,
6,2,6,6,6,6,6,6,6,2,6,2,2,6,10,14,6,6,2,6,2,2,2,
2,6,6,6,6,6,6,10,10,6,6,6,6,2,6,6,34,10,2,2,2,30,
6,2,6,6,6,6,6,10,10,6,6,2,6,2,6,2,6,2,6,6,2,6,6,
2,6,2,2,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,
10,10,6,10,10,6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,6,6,6,6,2,2,6,30,2,6,2,2,6,2,
2,2,6,2,6,2,6,6,2,6,2,6,2,2,6,6,2,2,2,2,2,2,2,
2,2,2,6,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
6,2,6,2,2,2,2,2,2,2,2,2,2,6,6,2,6,2,2,2,2,2,2,
2,10,6,6,2,6,6,2,2,2,6,2,2,6,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2],
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2,6,2,6,2,6,2,2,2,2,42,6,2,42,42,8,6,2,2,2,2,2,
2,2,6,2,2,2,4,4,2,2,2,2,2,2,2,2,42,2,2,2,2,2,2,
4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,42,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,1890,450,50,138,90,30,18,46,8,10,12,
90,10,42,6,10,10,22,42,2,2,46,2,6,42,10,2,4,6,2,54,
10,10,6,46,6,6,42,6,2,12,4,2,4,4,2,2,2,2,2,42,42,
2,2,6,2,2,2,2,4,6,4,2,2,2,2,2,2,2,2,2,42,2,42,2,
2,2,42,2,2,4,4,10,6,2,6,4,2,6,42,6,2,46,6,2,2,42,
2,10,6,4,6,2,4,2,2,2,2,2,2,2,2,4,2,2,4,2,2,2,2,
2,4,2,2,2,2,4,4,2,4,2,4,2,2,2,2,2,2,2,2,2,42,2,
2,42,2,2,6,2,4,2,2,2,2,2,2,42,2,2,42,2,42,2,2,2,
42,2,2,4,4,4,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,
2,2,2,2,4,2,4,4,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,42,2,42,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,42,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2],
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2,6,2,6,2,6,2,2,2,2,42,6,2,42,42,8,6,2,2,2,2,2,
2,2,6,2,2,2,4,4,2,2,2,2,2,2,2,2,42,2,2,2,2,2,2,
4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,42,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2520,120,40,96,48,36,24,4,90,2,6,
24,40,24,40,12,12,8,8,12,16,12,8,4,2,4,12,16,16,12,
4,12,12,6,6,2,18,2,6,2,6,2,2,8,8,2,6,4,4,2,2,2,
6,2,2,2,2,2,2,8,8,8,8,8,8,8,8,8,4,6,6,4,4,6,2,
4,8,12,12,4,8,8,16,8,8,4,2,4,6,2,6,2,2,2,2,2,2,
6,2,6,2,2,2,2,2,6,2,2,2,2,2,2,6,2,6,2,2,2,2,2,
2,2,8,8,8,8,2,4,2,6,2,2,2,2,8,8,8,8,8,8,8,8,8,
8,4,4,2,2,4,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,
2,2,2,2,4,4,2,2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,8,8,8,8,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2],
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8,4,4,4,4,40,16,16,8,8,16,4,4,4,4,4,8,4,4,4,4,4,
4,4,4,4,4,1680,240,112,144,96,16,16,20,12,4,8,8,8,8,
48,16,16,16,8,16,24,16,72,4,12,4,4,4,4,16,16,16,24,
8,8,16,8,8,8,8,8,8,8,8,8,8,4,4,4,4,4,4,4,4,4,16,
8,8,8,8,8,8,8,8,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,
4,4,4,4,4],
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8,4,4,4,4,40,16,16,8,8,16,4,4,4,4,4,8,4,4,4,4,4,
4,4,4,4,4,3360,80,288,80,24,32,16,16,64,32,48,24,32,
16,16,16,16,8,8,4,16,8,16,8,8,4,8,4,4,4,4,4],
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8,4,4,4,4,40,16,16,8,8,16,4,4,4,4,4,8,4,4,4,4,4,
4,4,4,4,4,48,16,16,16,16,8,16,8,8,4],
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8,4,4,4,4,40,16,16,8,8,16,4,4,4,4,4,8,4,4,4,4,4,
4,4,4,4,4,1400,280,40,120,88,88,24,24,8,16,20,12,4,
8,16,8,8,8,8,40,56,8,8,24,16,16,24,8,24,40,8,40,4,
8,12,4,4,4,4,8,24,40,8,8,8,8,40,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,4,4,4,4,8,4,4,4,4,4,4,4,4,40,8,8,8,
8,8,8,8,8,8,8,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4],
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8,16,8,8,16,4,8,4,4,2,2,2,2,40,8,8,8,8,4,2,2,4,
2,2,2,8,4,4,4,2,2,2,2,2,2,2,2,4,2,2240,160,128,64,
64,8,8,240,16,32,10,14,2,20,4,32,8,16,8,8,16,40,48,
8,8,8,8,40,8,40,8,8,32,16,8,8,16,8,2,10,2,2,2,2,
6,2,4,2,2,2,4,8,8,8,40,40,8,8,8,16,8,8,8,8,8,8,
8,8,16,8,8,8,8,8,4,8,4,2,2,4,2,4,4,2,4,2,2,2,2,
2,2,2,2,2,40,8,8,8,8,8,8,8,8,8,4,2,2,2,2,2,4,2,
4,2,2,2,2,2,2,2,8,4,2,2,4,2,2,4,2,2,2,2,2,2,2,
2,2,2,2,2,4,2,2],
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8,16,8,8,16,4,8,4,4,2,2,2,2,40,8,8,8,8,4,2,2,4,
2,2,2,8,4,4,4,2,2,2,2,2,2,2,2,4,2,840,360,40,8,
72,24,32,16,16,24,10,6,18,12,8,12,4,8,8,8,16,16,16,
8,8,8,8,4,4,8,8,12,4,4,8,4,6,2,6,2,2,2,4,2,4,2,
8,8,8,8,8,8,8,8,4,4,8,4,4,8,8,4,4,4,4,4,4,4,4,
8,8,4,4,4,8,2,2,4,2,8,4,2,4,2,2,2,2,2,2,2,2,2,
8,8,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,4,2,2,4,2,
2,2,2,2,4,2,4,2,4,2,4,2,2,2,2,2,2,2,2,2,2,2,2,
2,4,2,2],
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40,8,8,4,2,4,4,8,4,4,4,2,2,4,2,3080,40,40,296,40,
40,40,20,20,4,32,16,8,144,40,8,24,8,40,40,4,4,8,4,
112,8,40,8,40,8,8,8,8,16,8,4,8,4,4,4,6,4,4,40,8,
8,8,8,8,4,2,4,4,4,8,4,2,2,4,4,2,2,2,4,2],
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40,8,8,4,2,4,4,8,4,4,4,2,2,4,2,1680,240,80,48,48,
48,24,8,40,12,16,12,8,8,16,8,8,16,32,8,8,24,24,8,4,
8,4,4,16,8,8,8,8,8,8,4,4,8,4,8,4,8,4,4,2,8,4,4,
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6,40,12,8,4,4,4,8,24,6,6,6,12,10,6,2,6,2,4,4,4,4,
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22,10,6,4,8,12,4,8,8,2,2,6,4,10,6,2,6,2,4,4,4,4,
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2,2,8,2,2,2,2,4,2,2,8,6,6,4,4,2,2,2,2,2,2,2,2,
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4,4,4,24,20,4,4,8,4,8,8,4,4,8,4,4,4,8,4,4,4,4,4,
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2,2,2,2,2,2,2,1890,250,70,66,74,42,14,14,180,20,36,
30,2,6,4,16,8,14,6,4,20,4,18,24,6,2,6,6,6,18,18,6,
14,12,16,8,6,2,6,10,6,18,8,8,24,16,4,8,8,8,12,4,8,
2,4,6,2,2,2,2,2,8,12,2,6,2,6,6,2,2,2,2,2,6,2,4,
4,12,4,4,8,8,4,4,12,2,6,2,6,6,6,6,6,4,6,6,4,2,4,
8,4,8,4,4,4,4,8,4,2,2,6,6,10,2,2,2,8,2,10,2,2,2,
4,4,2,2,4,4,2,2,2,4,4,6,4,4,4,4,4,2,2,2,2,6,2,
4,2,2,2,2,2,2,2,2,2,2,2,6,2,6,2,2,6,6,4,2,2,2,
2,4,4,4,4,4,2,2,4,2,2,2,2,4,2,2,2,4,2,4,8,4,2,
2,2,2,2,2,2,2,2,2,4,2,4,4,4,2,2,2,2,2,4,2,2,2,
2,2,4,2,2,4,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,2,
2,6,2,6,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,4,2,2,4,2,2,2,2,
2,4,2,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],
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12,12,26,4,4,8,6,8,8,2,6,2,2,2,2,8,12,4,8,4,4,4,
8,4,4,8,2,4,4,4,8,8,2,2,2,4,2,2,2,2,2,2,2,4,4,
4,4,8,4,4,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,
2,2,2,2,2,2,2,1890,170,30,146,42,26,30,6,60,12,20,6,
4,30,2,24,8,18,6,4,20,4,14,16,2,6,2,2,62,10,10,14,
6,8,4,2,2,6,14,6,6,4,20,8,8,4,12,4,4,4,4,4,2,4,
2,6,2,2,2,2,56,4,8,2,2,2,2,2,6,2,6,6,2,2,6,12,8,
4,8,4,4,4,4,4,4,2,2,2,2,6,4,6,6,6,4,6,6,2,4,4,
8,4,4,4,4,8,4,8,10,6,2,2,2,2,2,6,10,2,2,8,4,4,2,
2,2,2,4,4,6,4,4,2,2,2,4,4,4,2,2,2,2,6,2,2,4,2,
2,2,2,2,2,2,6,2,6,2,2,2,6,4,6,2,2,2,2,4,4,4,4,
4,2,2,4,2,2,2,2,4,2,2,2,4,4,2,4,8,2,2,2,2,2,2,
2,2,2,2,4,2,4,4,4,2,2,2,2,4,2,2,2,2,2,2,2,2,4,
4,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,2,2,2,2,2,2,
6,6,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,4,2,2,4,2,4,2,2,2,2,2,2,2,4,4,4,4,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2],
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92,24,14,4,24,24,4,4,4,2,18,4,4,22,14,4,2,6,2,2,6,
2,2,2,90,14,12,4,4,2,4,12,4,4,4,12,14,4,4,2,14,2,
2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,12,4,12,2,2,2,4,
4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,
2,2,2,2,2,2,630,190,50,30,38,18,26,14,8,12,4,4,24,
40,4,6,10,10,2,4,8,12,14,4,8,4,6,6,14,14,14,12,16,
8,6,8,6,4,10,2,6,4,4,2,2,6,4,2,4,2,2,2,2,2,8,4,
8,6,6,8,10,6,8,8,2,10,8,8,4,2,6,4,2,6,4,4,8,2,2,
2,2,2,4,4,2,4,6,4,2,4,4,6,6,8,6,8,8,2,4,6,8,4,
4,2,4,2,2,2,4,4,4,2,2,2,2,4,2,2,4,4,2,2,4,2,4,
6,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,6,8,6,4,2,6,2,
4,2,2,4,4,2,4,2,4,2,4,2,4,2,2,2,2,2,2,4,4,4,4,
4,2,2,4,2,2,4,2,4,2,2,4,4,2,2,4,2,2,4,2,2,4,2,
2,4,4,6,2,2,4,2,2,2,2,2,4,4,4,6,2,6,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,4,2,4,2,4,2,2,2,2,2,2,
2,2,2,2,2,2,4,4,2,2,4,2,2,4,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],
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92,24,14,4,24,24,4,4,4,2,18,4,4,22,14,4,2,6,2,2,6,
2,2,2,90,14,12,4,4,2,4,12,4,4,4,12,14,4,4,2,14,2,
2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,12,4,12,2,2,2,4,
4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,
2,2,2,2,2,2,3150,230,50,326,126,122,18,14,240,24,44,
30,6,2,30,6,2,48,4,18,64,14,22,2,4,24,4,2,4,24,4,
4,4,134,102,14,14,14,32,12,14,4,18,92,14,96,14,14,44,
24,4,18,14,2,24,4,14,6,2,30,2,2,2,2,2,6,6,2,6,6,
2,2,2,2,2,56,12,14,14,12,92,2,14,4,4,90,2,12,12,12,
14,24,2,4,14,2,4,4,4,14,4,14,4,4,2,2,2,4,2,2,12,
14,12,12,2,2,2,24,14,12,2,4,4,24,2,4,4,2,2,2,4,4,
4,4,4,2,2,2,4,14,18,4,4,4,2,2,4,22,12,2,4,2,2,4,
12,14,14,4,4,2,2,2,2,6,2,6,2,2,2,2,2,2,2,2,6,2,
2,2,2,2,2,2,90,12,2,12,2,14,12,4,2,2,2,12,12,4,2,
4,2,2,4,4,2,2,2,2,2,2,4,2,4,12,2,2,12,4,2,2,2,4,
4,2,2,2,4,2,4,2,2,12,2,2,12,2,4,2,14,2,12,4,2,4,
4,4,2,2,2,2,4,2,2,2,14,12,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,4,2,
12,2,2,2,2,2,2,2,2,2,2,2,4,2,2,4,2,4,4,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2],
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32,18,4,16,24,12,4,4,2,18,4,4,6,8,14,4,2,6,2,6,6,
6,30,18,12,4,4,2,4,4,4,4,4,8,12,14,4,4,2,2,6,2,2,
6,2,2,2,6,6,2,6,2,6,2,2,12,4,2,4,2,2,4,4,2,2,2,
2,2,2,2,6,6,6,2,2,2,2,4,2,2,2,2,2,6,2,2,2,2,2,
1470,150,50,134,30,18,26,6,8,12,6,6,24,40,4,6,8,2,
14,2,4,8,12,10,4,4,4,62,6,14,14,6,16,12,2,4,2,12,
6,2,18,4,4,6,2,6,4,2,6,2,2,2,2,2,56,4,8,2,2,4,6,
10,4,8,6,6,8,8,12,6,10,4,2,6,4,4,8,2,2,4,2,2,2,
4,4,2,6,2,8,2,2,4,6,4,4,8,2,4,6,8,4,4,10,4,4,2,
2,2,8,4,4,2,2,2,2,4,4,2,2,4,6,4,2,4,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,6,4,2,8,6,6,2,4,2,2,4,
4,2,4,2,4,2,4,4,2,2,2,2,2,2,2,4,4,4,2,2,4,2,2,
4,2,4,4,2,2,2,4,2,4,2,4,8,2,4,2,2,4,2,2,4,4,6,
2,2,4,2,2,2,2,2,2,2,2,2,2,4,2,4,6,2,2,2,2,2,2,
2,2,2,2,2,6,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,4,2,4,2,2,2,2,4,2,2,2,2,2,2,2,
2,2,4,4,2,4,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],
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32,18,4,16,24,12,4,4,2,18,4,4,6,8,14,4,2,6,2,6,6,
6,30,18,12,4,4,2,4,4,4,4,4,8,12,14,4,4,2,2,6,2,2,
6,2,2,2,6,6,2,6,2,6,2,2,12,4,2,4,2,2,4,4,2,2,2,
2,2,2,2,6,6,6,2,2,2,2,4,2,2,2,2,2,6,2,2,2,2,2,
2310,270,50,126,102,90,18,22,360,32,60,30,6,30,6,48,4,
18,24,14,2,2,4,16,4,6,4,32,8,4,4,8,30,54,14,14,22,
12,16,8,18,4,18,36,14,48,18,14,60,32,4,18,18,6,32,4,
18,6,30,6,6,6,6,6,6,6,8,12,14,18,12,36,6,2,4,4,30,
2,4,12,12,14,32,2,4,18,6,4,4,8,4,18,4,18,4,2,2,2,
4,2,4,2,12,6,16,2,2,2,4,12,14,12,2,4,4,24,2,4,4,
8,10,2,2,4,4,4,4,4,2,2,2,4,14,18,4,4,2,2,4,4,2,
2,4,2,4,6,4,4,4,12,14,14,4,4,2,2,2,2,6,6,6,6,2,
2,2,6,6,6,6,6,6,30,2,12,2,18,12,4,4,2,2,2,12,12,
4,2,4,2,2,4,2,4,2,2,2,2,2,4,2,4,4,2,2,4,4,2,2,
2,4,2,2,4,4,2,2,4,2,8,4,2,12,2,2,12,2,4,2,14,2,
12,4,2,4,4,4,2,2,2,2,2,2,2,2,4,2,4,2,2,6,2,2,2,
2,2,2,2,2,2,4,6,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,
2,2,6,6,6,6,2,2,6,2,2,2,2,2,2,2,12,4,2,2,2,2,2,
2,4,2,2,2,2,2,2,4,2,2,4,2,4,4,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6,2,2,2,2,2,2,
2,4,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2],
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12,6,20,32,20,12,20,6,44,12,18,12,6,2,2,2,2,90,6,
20,20,12,6,32,20,12,12,12,6,20,20,20,18,6,6,6,6,4,
2,2,2,2,2,2,2,20,20,6,18,6,6,6,12,6,20,6,6,6,6,6,
6,2,2,2,2,2,2,2,20,6,6,6,6,6,6,2,2,2,6,2,2,2,2,
3360,160,80,440,104,132,24,20,180,12,24,30,6,2,4,20,
20,6,68,18,44,32,20,20,20,6,6,6,6,212,104,32,12,20,
56,32,20,20,6,24,118,12,90,6,18,24,12,6,6,6,12,6,2,
4,2,6,2,2,2,2,20,140,32,12,12,20,6,90,20,32,6,6,
104,12,18,6,12,6,12,6,6,6,12,6,6,6,20,20,6,20,20,
20,12,18,32,20,6,6,12,6,20,32,20,6,20,6,20,20,12,6,
6,6,12,6,20,20,20,20,6,6,44,32,20,20,20,20,6,6,12,
6,18,6,6,2,6,4,2,2,2,2,2,2,2,2,2,2,2,90,18,6,6,
6,6,6,6,6,20,20,6,20,20,6,6,6,12,6,6,6,6,6,12,20,
6,32,20,6,18,6,6,20,6,6,20,6,20,12,6,6,6,12,12,6,
6,6,12,6,6,12,6,6,6,6,6,20,20,20,20,20,20,20,20,6,
6,6,6,6,18,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,20,6,
20,6,6,6,20,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
12,6,6,6,20,6,20,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,6,20,6,6,6,6,
6,6,6,6,6,6,6,6,2,2,2,2,2,2,6,2,2,2,2,2,2,2],
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12,6,20,32,20,12,20,6,44,12,18,12,6,2,2,2,2,90,6,
20,20,12,6,32,20,12,12,12,6,20,20,20,18,6,6,6,6,4,
2,2,2,2,2,2,2,20,20,6,18,6,6,6,12,6,20,6,6,6,6,6,
6,2,2,2,2,2,2,2,20,6,6,6,6,6,6,2,2,2,6,2,2,2,2,
420,260,20,12,60,32,20,32,8,12,4,30,6,2,4,2,6,4,4,
4,4,8,4,16,2,2,2,2,12,4,16,32,4,12,24,12,6,12,2,
16,6,2,2,4,4,6,2,2,4,2,2,4,2,6,2,2,2,2,24,4,8,
12,12,14,2,4,6,6,4,2,14,2,2,4,2,2,4,4,2,2,2,4,4,
4,4,4,4,2,4,2,4,6,6,4,6,4,4,2,2,4,4,4,2,2,2,4,
4,2,4,4,2,4,4,4,8,2,2,2,2,4,2,2,6,2,2,4,2,2,2,
2,2,2,4,12,2,2,2,4,4,4,2,4,2,2,2,4,2,2,2,2,2,4,
4,6,2,2,6,2,2,2,4,2,4,4,4,2,2,4,2,4,2,4,2,2,2,
4,2,4,2,2,2,2,4,2,4,4,4,4,4,4,4,4,4,4,4,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,4,
2,2,4,2,4,2,2,4,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,
4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2],
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24,20,4,20,2,28,4,6,4,6,2,6,2,2,30,2,20,20,4,2,24,
20,4,4,4,2,20,20,20,6,2,2,2,2,6,2,2,2,2,20,20,2,
6,2,2,2,4,2,20,2,2,2,2,2,2,6,2,2,2,2,20,2,2,2,2,
2,2,2,2,2,2,2,2,2,1260,300,60,36,84,48,36,32,8,12,
30,6,6,4,6,10,4,4,4,4,8,4,16,2,2,2,2,20,12,24,32,
12,20,24,12,6,24,6,20,18,2,2,4,4,6,2,2,4,2,6,2,6,
2,2,6,24,12,16,16,12,14,6,4,6,10,8,6,18,2,2,4,2,2,
4,4,2,2,6,4,4,4,4,4,4,6,8,6,4,6,6,8,10,4,4,6,6,
4,4,4,2,2,2,4,4,2,4,4,2,4,4,4,8,2,2,2,2,4,2,2,
6,2,6,2,2,6,2,2,2,2,2,4,12,2,2,6,4,4,4,6,4,6,6,
2,4,2,2,2,2,2,8,4,6,6,6,10,6,6,6,4,6,4,4,4,2,2,
4,2,4,2,4,2,2,2,4,2,4,2,2,2,2,4,6,4,4,4,4,4,4,
4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,6,
2,2,2,2,2,2,2,4,6,6,4,6,4,6,2,4,2,2,2,2,2,2,2,
2,2,2,4,2,2,6,6,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,
2,2,6,2,2,2,2,2,2,2,6,4,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2],
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2,2,2,4,2,2,2,20,2,20,2,2,2,2,2,2,2,2,2,2,2,2,2,
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12,8,4,4,2,6,2,2,2,2,12,4,4,4,6,2,2,2,2,2,6,2,2,
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12,8,4,4,2,6,2,2,2,2,12,4,4,4,6,2,2,2,2,2,6,2,2,
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3,5,5,3,3,3,5,5,5,17,15,5,3,3,3,1,3,19,5,15,5,15,
17,5,15,17,3,3,3,5,5,3,5,5,5,5,3,3,3,3,3,3,3,3,
3,5,3,5,5,9,9,5,5,3,3,3,3,5,5,5,5,5,5,3,5,7,7,
3,7,5,5,3,7,5,5,3,3,3,5,3,5,3,5,5,5,3,3,5,3,5,
5,3,3,5,5,5,5,5,3,5,3,5,3,3,1,1,1,1,1,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,5,5,5,21,5,21,15,3,3,3,
3,15,3,3,3,3,3,15,1,1,3,3,3,3,1,1,3,5,9,1,3,3,3,
9,3,5,5,1,3,5,3,1,3,3,5,3,3,5,5,1,3,3,3,5,3,1,
3,3,3,3,3,3,1,1,3,1,5,3,3,3,5,5,1,7,3,3,1,5,3,
3,1,5,3,3,5,1,3,5,3,3,3,3,3,5,5,3,3,5,3,1,3,5,
5,3,3,3,17,5,3,5,3,15,5,1,3,3,1,3,5,3,5,1,3,3,3,
5,5,3,3,1,3,1,3,1,3,1,3,3,1,3,3,1,3,1,1,3,3,3,
3,3,5,5,5,3,3,3,5,1,1,1,1,3,3,3,3,1,3,1,3,1,3,
3,1,3,3,1,1,1,1,1,1,5,7,5,3,5,5,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,5,3,5,5,5,3,3,5,5,3,3,5,5,3,3,
3,3,3,3,3,3,3,3,5,3,5,3,3,5,5,3,1,1,3,3,1,1,5,
21,3,15,3,3,1,3,3,1,1,3,3,1,3,1,1,3,1,3,1,3,3,1,
3,1,3,1,1,3,3,1,3,3,1,1,1,1,1,1,1,1,3,1,3,3,3,
1,3,3,1,1,1,1,3,5,3,5,1,3,1,3,5,3,3,5,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,3,1,3,1,1,3,1,3,1,3,3,
1,1,1,1,1,3,1,1,1,1,3,3,1,1,1,3,3,3,1,3,1,1,1,
1,1,5,5,3,3,5,5,3,3,3,3,1,1,3,1,5,3,3,1,1,3,1,
3,1,1,3,3,3,3,3,3,3,3,1,1,1,1,3,1,1,3,1,3,3,3,
1,1,1,3,3,1,1,1,1,1,1,3,5,3,1,1,1,1,3,1,3,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,
3,1,3,1,1,1,1,1,1,1,1,1,1,1,1],
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2,2,2,20,8,8,8,4,4,4,8,2,2,2,2,2,4,4,4,8,2,2,2,
2,2,4,2,2,2,2,2,2,700,140,20,60,44,44,36,12,4,8,10,
6,2,16,4,8,8,4,4,4,4,20,28,4,12,12,8,8,12,4,12,20,
4,20,2,4,6,2,2,2,2,4,12,20,4,4,4,12,20,4,4,4,8,4,
8,8,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,4,2,2,2,2,
2,2,2,2,20,4,4,4,4,8,4,4,4,8,4,4,4,4,4,4,4,4,2,
2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,
2,2,4,2,2,2,2,2,2,2,2],
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2,2,2,20,8,8,8,4,4,4,8,2,2,2,2,2,4,4,4,8,2,2,2,
2,2,4,2,2,2,2,2,2,2520,120,40,200,72,48,8,8,50,18,
2,80,8,4,16,8,4,4,4,32,24,16,8,8,24,8,4,8,12,8,36,
2,18,2,2,2,2,8,8,8,12,16,4,4,8,8,4,8,4,4,8,16,4,
4,4,4,8,8,4,4,4,4,8,2,2,2,4,2,2,2,2,2,2,2,8,8,
4,8,4,4,4,4,4,8,4,4,4,4,4,4,8,2,2,2,2,2,2,2,2,
4,4,4,4,4,4,8,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,
2,2,2],
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20,8,8,16,8,8,8,20,8,8,8,12,8,8,2,4,2,2,2,6,2,2,
2,2,2,2,20,20,8,8,8,4,8,8,8,8,8,12,8,8,4,4,4,4,
4,8,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,8,4,4,4,8,
4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,1540,260,20,116,116,92,20,20,
240,32,56,10,10,10,10,6,2,32,8,20,16,12,4,4,16,4,8,
16,8,8,8,20,52,4,12,20,8,8,20,8,20,32,12,56,20,12,
56,32,8,20,20,4,32,8,20,6,2,10,2,2,2,2,2,6,6,6,2,
6,6,2,2,2,2,2,2,2,2,2,12,20,8,32,4,4,8,8,20,4,8,
8,12,32,4,8,20,4,8,8,8,20,8,20,8,4,4,4,4,8,4,8,4,
4,4,8,12,8,4,8,8,16,4,8,8,4,4,4,8,8,8,8,8,8,12,
20,8,8,4,4,4,4,8,8,12,12,8,8,4,4,4,2,2,2,2,2,2,
2,4,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,20,4,8,4,20,8,8,4,4,4,
8,8,8,4,8,4,4,8,4,4,4,4,4,4,8,4,8,4,4,8,4,4,4,
8,4,4,8,4,4,8,4,8,4,12,4,8,8,4,8,8,8,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,4,8,8,4,4,4,4,4,4,4,8,4,4,
4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2],
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20,8,8,16,8,8,8,20,8,8,8,12,8,8,2,4,2,2,2,6,2,2,
2,2,2,2,20,20,8,8,8,4,8,8,8,8,8,12,8,8,4,4,4,4,
4,8,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,8,4,4,4,8,
4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,1680,40,144,24,40,12,16,8,8,
8,32,16,8,24,16,12,16,8,8,8,8,8,8,8,8,8,8,4,4,2,
8,8,8,8,4,8,4,8,4,4,4,4,2,4,4,4,4,4,8,4,2,2,4,
2,2,2,2,2],
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8,2,4,2,2,10,2,20,24,24,8,12,8,4,4,8,4,2,4,2,2,4,
2,12,8,4,4,4,4,2,2,2,2,4,2,4,2,2,2,2,2,2,2,2,2,
2,840,120,56,72,48,32,8,10,6,2,4,8,4,4,4,24,16,8,8,
4,32,12,16,36,2,6,2,2,2,2,16,8,8,12,4,12,8,12,4,4,
8,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,8,12,12,4,
8,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,4,12,4,4,4,4,
4,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2],
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8,2,4,2,2,10,2,20,24,24,8,12,8,4,4,8,4,2,4,2,2,4,
2,12,8,4,4,4,4,2,2,2,2,4,2,4,2,2,2,2,2,2,2,2,2,
2,2380,140,60,332,44,92,12,12,40,16,8,10,6,2,48,36,
24,24,12,4,4,4,148,44,36,4,12,48,24,12,4,12,68,4,20,
2,8,6,16,8,2,2,8,2,2,112,24,4,12,20,12,36,4,4,44,
4,8,4,24,12,12,12,8,24,24,4,4,4,4,12,12,36,24,24,
12,12,4,4,4,4,4,2,2,2,4,4,4,2,2,2,2,2,8,2,2,2,
20,8,4,24,12,4,8,4,24,4,12,4,4,12,12,4,4,8,8,4,4,
4,4,4,4,4,4,4,2,2,4,4,2,2,2,2,2,4,4,2,12,4,8,4,
4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,4,2,2,4,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],
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2,2,2,2,4,2,10,2,2,2,2,10,2,2,2,2,2,2,2,2,2,2,
672,160,16,72,8,12,24,12,4,12,4,12,4,8,4,2,2,4,12,
4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2],
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2,2,2,2,4,2,10,2,2,2,2,10,2,2,2,2,2,2,2,2,2,2,
16,20,8,4,4,4,4,2,2,10,10,4,2,2,2,2,2,2,2,2,10,2,
2,2,2,2],
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4,4,4,12,4,12,4,12,4,4,4,10,2,36,12,4,12,12,4,4,
12,12,4,4,4,12,12,12,4,4,4,4,4,4,4,4,4,4,4,2,2,2,
12,12,12,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,2,
12,4,4,4,4,4,4,4,4,4,2,2,2,2,2,1260,300,12,156,60,
36,12,36,16,24,60,12,12,12,12,4,12,12,4,4,36,12,12,
12,12,4,4,4,84,12,12,4,36,12,12,36,12,4,24,8,4,8,8,
4,4,4,4,10,36,84,12,4,12,4,12,12,4,12,4,4,4,4,4,
12,12,4,12,4,12,4,4,4,36,12,12,12,12,4,4,12,12,12,
12,4,36,4,4,12,12,4,12,4,4,4,4,4,4,4,4,4,12,12,4,
4,12,12,4,4,4,4,4,4,4,8,4,4,4,4,4,4,12,12,4,12,
12,4,12,12,4,4,4,4,4,4,4,4,4,4,4,4,2,2,4,36,12,4,
12,4,4,12,12,4,4,4,4,4,12,4,4,4,4,4,12,4,4,4,4,4,
4,4,4,4,12,4,12,12,12,12,4,12,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,12,12,4,4,12,4,12,4,12,12,4,12,12,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
2,2,2,2,4,4,12,12,4,12,4,4,12,4,4,4,4,4,4,4,4,4,
4,4,12,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
2,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,
2,2],
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4,4,4,12,4,12,4,12,4,4,4,10,2,36,12,4,12,12,4,4,
12,12,4,4,4,12,12,12,4,4,4,4,4,4,4,4,4,4,4,2,2,2,
12,12,12,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,2,
12,4,4,4,4,4,4,4,4,4,2,2,2,2,2,20,8,8,4,4,8,8,8,
8,4,4,2,10,8,4,8,8,4,4,2,8,4,4,4,4,4,2,4,4,4,4,
2,2],
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2,2,4,4,2,1,2,4,1,1],
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4,60,24,12,4,4,4,60,24,4,4,4,4,4,12,4,12,4,4,896,
160,48,48,24,24,8,60,12,20,20,8,4,20,8,4,48,8,24,4,
4,4,4,4,12,4,4,12,4,4,12,4,4,12,4,4,4,4,6,6,8,4,
20,2,2,6,6,2,6,6,2,2,2,2,2,4,4,4,4,12,2,2,2,2,2,
2,2,2,6,6,12,4,12,4,4,4,6,2,2,2,2,2,2,2,2,2,2,6,
4,12,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,
2,6,2,2,2,2],
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4,4,8,8,4,4,8,12,4,4,4,4,896,160,64,96,64,24,16,20,
8,4,20,8,4,8,8,8,32,8,16,16,8,24,16,8,48,6,6,4,4,
8,8,4,4,4,4,8,16,16,8,8,8,8,8,2,2,2,2,6,6,12,4,
12,4,4,4,4,4,8,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,
4,2,2,2,2,2,2,4,4,2,2,6,6,2,2,2,2,2,2],
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2,2,1,1,1680,96,40,144,8,40,12,32,8,4,8,8,4,32,16,
1,1,12,8,4,8,4,4,4,4,1,5,4,2,4,4,1,2,2,4,2,2,1,
1,1],
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60,4,4,24,4,4,4,4,4,4,8,4,4,4,4,4,4,12,4,4,4,4,
20,16,4,4,8,4,4,4,4,4,4,4],
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60,4,4,24,4,4,4,4,4,4,8,4,4,4,4,4,4,12,4,4,4,4,
4,16,4,4,8,4,4,4,4,4,4,4],
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60,4,4,24,4,4,4,4,4,4,8,4,4,4,4,4,4,12,4,4,4,4,
1680,80,96,24,24,8,180,4,28,40,12,4,8,32,8,8,8,4,4,
4,24,8,4,8,24,4,8,4,4,4,8,4,12,4,4,4,4,4,8,4,4,
8,4,4,4,12,4,24,4,8,4,4,4,4,4,4,4,4,8,4,4,4,4,4,
4,4,4,4,4,12,4,4,4,4],
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60,4,4,24,4,4,4,4,4,4,8,4,4,4,4,4,4,12,4,4,4,4,
112,240,96,24,24,8,4,20,12,4,8,40,12,8,8,32,4,8,4,
4,8,24,4,8,4,24,4,4,8,12,12,4,8,4,12,4,4,4,4,4,8,
4,4,8,4,4,4,12,4,4,4,24,4,4,8,4,4,4,4,4,4,4,4,8,
4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4],
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4,4,4,10,2,2,4,1,1,3,5,5,3,1,3,1,1,1,4,4,4,4,2,
2,10,2,2,4,2,1,2,1,3,1,1,1,1,1,1,1,1,4,2,2,2,1,
2,2,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,
784,240,48,16,48,16,16,52,20,36,11,7,7,31,11,3,16,8,
16,4,4,4,8,4,4,12,4,4,8,4,12,4,4,4,12,12,4,4,4,4,
5,3,11,1,5,3,7,3,5,11,5,3,5,7,5,3,3,1,1,3,3,1,1,
2,2,2,6,4,4,4,4,4,2,2,2,2,2,4,2,4,4,4,2,2,2,4,
2,4,2,1,1,1,1,1,1,1,3,1,3,5,3,3,5,3,1,3,1,1,1,
1,1,3,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,2,
4,2,2,4,2,2,2,2,2,2,2,2,4,2,2,2,4,2,2,2,1,2,2,
1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,
4,2,2,2,2,2,2,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1],
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6,6,6,14,6,6,6,6,6,6,6,6,6,2,6,6,6,6,2,2,2,10,6,
4,30,6,6,6,6,6,2,2,2,2,2,6,2,2,2,2,6,6,6,6,2,6,
2,6,2,6,6,6,2,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,6,6,6,6,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,6,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,6,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1050,90,10,106,42,
42,18,10,90,10,10,18,12,18,10,2,6,10,6,6,2,2,2,10,
2,6,2,10,2,2,2,2,42,34,2,10,10,6,6,6,6,2,6,30,6,
30,10,2,6,14,18,10,6,6,6,2,10,2,2,6,4,4,6,14,2,6,
6,6,6,30,2,2,2,2,30,2,2,6,10,6,10,2,2,6,6,2,2,2,
2,2,2,2,6,2,6,2,2,2,2,2,6,2,2,2,2,6,2,2,6,2,2,
6,2,2,2,2,2,6,2,6,6,10,2,2,2,2,6,10,6,2,2,2,2,2,
6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,2,
2,2,2,2,6,6,2,2,2,2,2,2,2,2,2,2,4,4,4,4,2,2,2,
6,6,6,2,2,6,6,4,30,2,2,6,2,6,6,2,2,2,2,6,2,2,2,
6,2,2,6,2,2,6,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,2,2,
2,2,2,6,2,2,6,2,2,2,2,2,2,2,2,6,2,2,6,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,4,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,6,6,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,6,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,6,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2],
[57750,310,270,60,30,14,6,70,30,30,30,14,8,4,14,30,14,6,
6,6,6,14,6,6,6,6,6,6,6,6,6,2,6,6,6,6,2,2,2,10,6,
4,30,6,6,6,6,6,2,2,2,2,2,6,2,2,2,2,6,6,6,6,2,6,
2,6,2,6,6,6,2,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,6,6,6,6,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,6,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,6,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1260,140,60,60,28,
12,12,12,16,24,60,4,8,12,20,4,4,8,4,4,4,4,12,8,4,
4,4,4,4,12,4,20,4,12,24,8,8,4,4,8,8,4,8,4,4,8,4,
4,8,4,4,12,4,4,4,12,4,4,4,8,8,4,4,4,4,4,4,4,4,4,
4,4,4,4,8,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,2,6,
2,2,2,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,
6,2,2,6,2,4,4,2,2,2,2,2,2,2,2,10,2,2,2,4,12,4,4,
4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,4,4,4,4,2,2,
2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,4,
4,4,2,2,6,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,
4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,4,4,4,4,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
6,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],
[57750,310,90,60,70,22,2,70,30,18,10,4,14,30,10,6,14,6,
22,2,2,2,6,2,6,2,2,6,2,6,2,2,10,6,4,30,6,14,6,2,
14,2,14,2,2,2,2,2,2,2,2,6,6,2,2,2,2,6,2,2,2,2,2,
2,2,2,2,2,2,2,14,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,14,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1050,170,
10,106,58,42,6,18,90,10,18,12,8,34,10,14,6,10,6,6,
14,2,2,18,2,6,14,10,2,2,2,2,42,34,2,6,18,6,6,14,6,
2,6,30,6,30,6,6,18,10,2,6,6,2,10,2,6,4,4,14,14,2,
2,6,6,6,30,2,2,2,2,30,2,2,6,6,6,10,2,2,6,2,2,2,
2,2,6,2,6,2,2,2,2,14,2,14,2,2,2,14,2,2,6,2,2,6,
2,2,2,2,2,6,14,6,6,18,2,2,2,14,2,10,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,4,2,2,4,2,2,2,2,2,6,6,2,2,2,
2,2,2,4,4,2,4,2,4,2,2,2,6,6,6,2,2,2,2,2,2,6,2,
6,4,30,2,2,6,2,6,6,2,2,2,2,14,2,2,14,2,2,2,6,2,
2,6,2,2,2,2,2,2,2,2,14,2,2,14,2,2,2,14,2,2,2,14,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
6,2,2,6,2,2,2,2,6,2,2,6,2,2,2,2,2,2,2,2,2,2,2,
2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,14,2,14,
2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,6,2,2,2,2,2,14,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2],
[57750,310,90,60,70,22,2,70,30,18,10,4,14,30,10,6,14,6,
22,2,2,2,6,2,6,2,2,6,2,6,2,2,10,6,4,30,6,14,6,2,
14,2,14,2,2,2,2,2,2,2,2,6,6,2,2,2,2,6,2,2,2,2,2,
2,2,2,2,2,2,2,14,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,14,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1260,60,
60,60,12,12,24,4,10,60,4,12,20,12,4,4,8,4,4,4,12,8,
4,12,4,20,8,4,24,8,4,8,4,2,4,4,4,4,4,12,4,4,4,12,
4,2,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,8,4,
12,4,4,2,2,2,2,2,2,6,2,6,2,2,2,2,2,2,2,2,2,2,6,
2,6,2,2,2,2,2,10,2,2,4,12,4,4,4,4,4,4,4,4,4,2,2,
4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,
4,4,4,4,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,
2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],
[57750,310,90,60,70,22,2,70,30,10,6,2,4,70,10,2,2,22,
10,22,2,2,2,2,2,10,2,6,2,2,10,2,2,2,12,10,4,4,22,
10,2,2,14,14,2,2,10,10,2,2,2,2,2,10,2,2,10,10,2,2,
2,2,2,2,2,2,2,2,2,2,2,4,4,2,2,4,14,10,2,10,2,2,
2,2,2,2,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,4,4,2,2,4,14,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,4,2,2,2,2,2,2,4,2,2,2,2,2,1050,170,10,130,
34,30,6,22,8,12,12,8,34,10,14,6,10,2,10,14,2,2,22,
10,10,14,10,2,2,2,70,10,10,2,22,10,10,22,10,2,20,4,
2,4,4,2,2,2,2,4,4,22,70,10,2,10,2,10,10,2,10,2,2,
2,2,2,10,10,2,14,2,14,2,2,2,22,10,10,10,10,2,2,10,
10,14,10,2,22,2,2,10,14,2,10,2,2,2,2,2,2,2,2,2,2,
2,2,10,10,2,2,10,10,2,2,2,2,2,2,2,2,2,4,2,2,2,2,
2,2,2,2,10,10,2,10,10,2,10,10,2,2,2,2,2,2,2,2,2,
2,2,2,4,8,4,4,4,2,22,10,2,14,2,2,10,10,2,2,2,2,2,
2,14,2,2,14,2,14,2,2,2,14,2,2,2,2,2,2,2,2,2,2,2,
10,2,10,10,10,10,2,10,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,10,10,2,2,2,2,2,10,2,10,2,10,10,2,
10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,
4,2,2,2,14,2,14,10,2,2,2,10,2,2,10,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,2,2,2,10,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,2,14,10,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,
2,2,2,2,2,2,2,2,2,4,2,2,2,2,2],
[57750,310,90,60,70,22,2,70,30,10,6,2,4,70,10,2,2,22,
10,22,2,2,2,2,2,10,2,6,2,2,10,2,2,2,12,10,4,4,22,
10,2,2,14,14,2,2,10,10,2,2,2,2,2,10,2,2,10,10,2,2,
2,2,2,2,2,2,2,2,2,2,2,4,4,2,2,4,14,10,2,10,2,2,
2,2,2,2,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,4,4,2,2,4,14,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,4,2,2,2,2,2,2,4,2,2,2,2,2,1260,60,60,36,36,
24,24,90,2,10,6,60,4,12,20,12,4,8,4,4,4,4,4,4,2,
12,12,12,12,12,18,6,6,18,10,2,2,6,2,6,2,2,2,4,4,
12,12,6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,8,4,4,4,4,4,
4,8,4,6,6,6,6,4,8,8,4,4,4,4,2,2,2,2,2,2,2,2,2,
2,2,6,2,2,12,4,10,2,4,4,4,8,4,4,4,6,6,6,2,2,2,2,
2,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,6,6,6,6,6,
6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,
2,2,2,2,4,4,4,4,2,2,4,4,4,4,6,6,6,6,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,6,6,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,4,4,2,4,6,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,2,4,2,2,
2,2],
[57750,790,90,60,30,62,10,214,102,18,10,12,4,182,54,10,6,
30,38,30,10,2,2,30,2,6,2,2,46,10,14,10,2,10,6,4,30,
6,30,30,2,2,2,2,10,6,2,38,2,30,10,10,10,6,2,2,2,
30,30,30,2,2,14,6,6,6,6,2,2,2,2,2,2,2,6,2,2,2,30,
30,6,2,14,6,6,6,2,2,2,10,2,2,2,2,6,2,30,2,2,6,6,
6,6,2,2,2,6,6,2,2,2,2,2,2,2,2,2,6,2,2,2,30,2,2,
6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,6,2,2,
2,6,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
80,16,12,8,10,8,4,4,4,4,4,4,8,8,4,8,2,4,4,8,4,4,
4,2,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,4,4,2,2,
2,2,4,4,2,4,4,4,4,4,2,2,2,2,2,2,2,2,4,4,4,4,4,
2,2,2,2,2,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,
4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
],[57750,790,90,60,30,62,10,214,102,18,10,12,4,182,54,
10,6,30,38,30,10,2,2,30,2,6,2,2,46,10,14,10,2,10,6,
4,30,6,30,30,2,2,2,2,10,6,2,38,2,30,10,10,10,6,2,
2,2,30,30,30,2,2,14,6,6,6,6,2,2,2,2,2,2,2,6,2,2,
2,30,30,6,2,14,6,6,6,2,2,2,10,2,2,2,2,6,2,30,2,2,
6,6,6,6,2,2,2,6,6,2,2,2,2,2,2,2,2,2,6,2,2,2,30,
2,2,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,6,
2,2,2,6,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2310,150,70,358,54,102,18,30,90,10,18,60,12,4,30,
30,2,6,62,14,46,2,2,2,38,30,30,2,30,6,6,6,6,198,54,
38,10,30,54,38,30,30,6,18,78,10,30,6,14,18,10,2,6,6,
6,10,2,6,4,12,4,4,30,182,38,10,10,30,6,30,30,38,6,
6,54,10,14,6,10,6,10,6,2,6,6,2,2,10,2,6,2,6,6,30,
30,2,2,2,2,2,2,6,30,30,30,10,14,38,30,6,6,10,6,30,
38,2,30,6,30,6,2,30,2,2,30,10,6,6,6,10,2,2,6,2,2,
2,2,2,2,2,30,30,2,2,30,30,2,2,2,2,2,2,2,6,6,2,2,
2,2,2,2,2,2,46,38,2,30,30,2,30,30,6,6,2,10,6,14,6,
6,2,2,2,2,2,2,2,2,10,6,2,6,2,4,30,14,6,6,6,6,6,
6,2,2,6,30,30,2,2,2,6,2,30,30,6,6,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,6,10,2,6,6,2,6,2,6,2,6,2,
2,2,2,2,2,2,10,30,6,38,30,6,14,6,2,2,2,2,6,30,6,
6,30,2,6,30,2,2,2,10,6,6,2,6,10,10,2,6,2,6,6,10,
6,2,6,10,2,2,2,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,6,
30,30,2,2,30,2,30,2,30,30,2,30,30,2,2,2,2,2,2,2,2,
2,6,6,6,6,6,14,14,6,6,2,6,6,2,6,6,6,6,2,2,2,6,6,
6,2,6,6,2,2,6,6,2,2,2,2,6,2,6,2,6,6,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,6,2,2,2,2,2,2,30,2,6,30,6,2,6,2,6,30,2,
6,6,2,2,2,14,6,6,6,2,6,6,2,2,6,2,6,2,6,6,6,2,6,
6,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,10,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,6,6,2,2,2,2,2,2,6,30,6,2,2,
2,30,2,2,2,2,2,2,2,6,6,6,2,2,6,2,6,2,6,2,6,6,2,
6,6,2,6,2,2,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,6,6,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,6,2,2,2,2,
2,2,6,30,2,2,2,2,2,2,2,2,6,2,6,2,6,6,2,6,2,6,2,
2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,6,2,6,2,2,2,2,2,2,2,6,6,2,2,2,2,2,2,2,6,2,2,
2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2],
[57750,630,210,15,70,54,10,166,78,46,26,15,3,3,3,3,70,
66,26,16,22,26,38,10,6,6,22,6,16,6,6,30,10,20,10,2,
3,1,3,1,3,1,3,3,1,1,1,60,16,22,22,6,6,6,6,10,8,6,
18,6,14,10,10,18,16,6,6,6,14,22,14,6,6,12,8,8,8,8,
2,2,2,2,2,2,2,3,3,1,1,1,3,1,1,3,1,1,1,1,1,1,1,
6,10,10,16,6,12,8,8,8,6,6,6,10,6,6,6,6,8,6,14,6,
6,8,4,4,4,2,2,2,8,8,6,2,2,2,2,2,2,6,2,3,1,1,3,
3,1,1,1,1,1,1,1,1,1,1,1,10,6,6,4,4,4,4,2,2,2,6,
2,2,2,2,6,2,2,2,6,4,2,2,8,6,2,2,1,3,1,1,1,1,1,
1,1,1,6,4,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,2,1,1,
1,1,1,1,1,1,1890,210,50,250,90,102,22,30,210,26,46,
15,3,3,15,3,3,46,30,6,16,46,20,30,6,2,2,34,14,22,6,
30,8,8,8,8,118,74,18,18,30,34,26,22,22,8,22,72,18,
60,16,20,46,26,6,16,16,8,26,6,16,3,3,15,3,1,3,3,1,
1,3,3,1,3,3,1,3,3,1,1,1,1,3,3,22,70,18,10,18,22,
16,60,14,18,8,8,66,10,12,16,18,16,26,8,6,16,8,6,6,
10,6,16,6,16,8,14,14,2,6,6,6,2,2,8,22,14,14,18,12,
18,22,8,8,10,8,14,26,6,22,16,30,8,2,14,6,6,30,10,8,
8,8,10,6,6,8,6,6,6,6,6,6,6,18,10,2,2,18,10,2,2,6,
6,2,2,6,16,16,6,6,2,6,6,2,2,2,26,22,2,10,18,2,10,
18,8,8,6,18,16,20,8,8,2,2,2,2,2,2,2,2,3,1,3,1,3,
3,1,1,1,1,3,1,3,1,1,1,1,1,3,1,1,1,3,3,1,1,3,1,
3,1,1,1,1,1,1,1,1,1,1,1,1,1,60,12,8,16,8,16,16,8,
6,6,8,22,14,2,6,6,8,6,22,14,8,16,6,6,6,6,6,6,6,2,
6,2,6,6,6,2,6,6,6,2,8,10,6,8,8,6,8,6,8,6,8,6,6,
6,6,2,2,6,10,14,8,18,10,4,12,8,6,6,6,6,4,10,8,8,
14,2,4,10,2,6,2,10,8,8,6,8,10,10,6,8,6,8,8,18,8,
6,16,10,6,6,6,16,8,8,16,6,6,6,6,6,6,6,2,2,6,2,8,
14,10,6,2,18,2,10,2,10,14,2,10,14,2,2,2,6,2,6,6,2,
2,4,8,4,8,8,12,12,8,8,6,4,4,6,8,8,8,8,6,6,6,8,8,
8,6,8,8,6,6,8,8,6,6,6,6,8,6,8,6,8,8,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,3,3,1,3,3,1,3,1,1,1,1,1,1,1,1,3,1,1,3,3,
1,1,3,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,2,6,6,10,2,4,10,4,2,4,2,4,10,6,8,16,
6,6,6,12,4,8,8,2,4,8,6,2,4,6,8,6,4,8,8,2,4,4,6,
8,6,2,6,6,6,6,6,6,6,2,6,2,2,6,8,10,6,6,2,6,2,2,
2,2,6,6,6,6,6,6,8,8,6,6,6,6,2,6,4,14,8,2,2,2,10,
6,2,6,6,6,6,6,8,8,4,6,2,4,2,4,2,4,2,4,4,2,4,4,
2,4,2,2,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,
8,8,6,8,8,6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,6,6,6,6,2,2,3,1,1,3,1,1,1,1,1,
1,1,1,3,1,3,1,3,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,4,10,2,6,2,2,6,2,2,2,
4,2,4,2,4,4,2,4,2,4,2,2,4,4,2,2,2,2,2,2,2,2,2,
2,6,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,
6,2,2,2,2,2,2,2,2,2,2,6,4,2,4,2,2,2,2,2,2,2,8,
4,6,2,6,6,2,2,2,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,6,2,2,4,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1],
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10,6,4,6,2,2,12,8,8,8,4,4,4,2,6,4,4,2,4,4,4,6,2,
2,2,4,2,4,2,2,4,2,420,132,20,36,36,36,12,20,30,6,6,
4,8,8,12,16,4,4,4,12,20,12,4,20,8,16,16,12,4,12,12,
4,12,2,2,2,6,6,2,2,6,16,8,4,12,12,12,4,4,4,12,4,
4,4,4,8,4,8,8,4,4,4,4,4,4,4,4,8,8,12,4,4,2,6,2,
6,4,2,6,2,2,2,2,12,4,8,4,4,4,4,8,4,4,4,4,4,4,4,
4,4,2,2,6,2,6,2,4,4,2,4,4,4,4,4,4,2,6,2,2,2,2,
2,4,2,2,4,4,2,2,4,2],
[46200,600,30,16,8,136,48,10,6,6,112,24,8,8,8,4,12,8,
10,6,4,6,2,2,12,8,8,8,4,4,4,2,6,4,4,2,4,4,4,6,2,
2,2,4,2,4,2,2,4,2,840,120,80,56,72,48,8,8,30,6,6,
4,8,4,4,4,24,16,8,8,16,16,8,4,8,12,8,36,2,6,6,2,
2,6,16,8,8,8,12,4,4,8,8,4,4,4,8,8,4,4,4,4,4,4,4,
4,10,2,6,6,4,4,6,2,2,2,2,2,8,4,8,4,4,8,4,4,4,4,
4,4,4,4,2,2,2,6,2,6,4,4,2,4,4,4,4,4,4,6,2,2,2,
2,2,2,4,4,4,2,2,4,2],
[46200,600,120,16,8,136,72,10,12,72,8,8,8,8,8,10,28,18,
72,8,8,8,8,8,8,8,2,2,8,8,8,18,8,8,2,4,8,2,2,2,8,
2,420,132,20,36,36,36,12,12,12,8,4,4,8,4,4,4,4,4,
12,20,4,12,12,8,8,12,4,12,12,12,12,2,2,4,12,12,12,
12,4,4,4,4,12,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,2,6,4,6,2,12,4,4,12,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,
2,4,4,4,4,4,4,4,4,4,6,2,4,4,4,2,2,2,2,4,2],
[46200,600,120,16,8,136,72,10,12,72,8,8,8,8,8,10,28,18,
72,8,8,8,8,8,8,8,2,2,8,8,8,18,8,8,2,4,8,2,2,2,8,
2,1680,120,144,120,12,16,8,8,8,32,32,56,12,32,32,8,8,
8,8,8,8,10,28,2,32,8,8,8,8,8,8,2,8,8,8,8,18,2,8,
4,8,2,2,8,2],
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4,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,192,32,16,32,16,8,8,2,2,2,8,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2],
[44352,192,144,192,16,16,2,12,2,16,12,2,4,2,2,4,12,4,2,
4,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,24,8,8,2,2,4,4,4,4,4,2,4,2,2,2,2,2,2,2,2,2,2,
2,2],
[38500,500,120,25,40,64,4,92,64,28,16,5,1,11,3,5,56,28,
16,10,12,24,8,4,4,4,6,10,4,4,18,14,4,2,4,1,2,1,1,
1,3,1,1,1,5,1,1,10,10,4,4,4,2,4,12,4,12,4,8,6,4,
4,6,10,2,2,6,2,2,2,2,4,2,2,1,1,1,2,1,1,1,2,1,1,
1,1,1,1,1,6,4,4,4,6,2,2,4,8,2,2,2,2,2,2,2,4,2,
2,1,1,1,1,1,1,1,1,1,2,1,1,1,6,2,4,2,2,2,2,2,1,
1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,
1,1610,130,30,194,58,70,22,10,120,16,28,25,11,5,5,3,
1,16,4,10,64,14,18,2,4,24,12,6,4,8,4,4,4,74,34,18,
10,10,24,12,10,4,22,40,10,28,10,14,28,16,4,10,10,2,
16,4,10,3,1,5,1,1,1,1,1,5,3,11,1,3,3,1,5,1,1,1,
5,1,1,1,56,12,10,10,4,16,6,18,4,8,22,2,4,4,8,6,16,
6,4,10,2,4,4,4,10,4,10,8,12,6,2,2,4,6,6,8,10,12,
4,2,6,2,24,6,4,2,4,4,8,2,4,4,2,2,2,4,4,4,4,4,6,
6,2,4,6,10,4,4,4,2,2,4,18,12,2,12,6,6,4,8,6,14,4,
4,2,2,2,2,4,2,2,1,1,1,1,1,1,2,2,2,1,1,1,1,1,1,
1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,5,1,1,1,1,
1,1,1,1,1,10,4,2,4,6,10,4,4,2,2,2,4,4,4,2,4,2,2,
4,4,2,2,2,2,2,2,4,2,4,12,6,2,4,4,2,2,2,12,8,6,6,
2,4,2,4,2,2,8,6,2,4,2,4,2,6,2,4,4,2,4,4,4,2,6,
6,2,8,6,2,2,10,4,2,2,2,2,2,2,2,2,6,2,6,2,2,2,2,
2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,
1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,6,2,2,6,2,4,4,2,4,2,6,
2,6,2,2,2,2,2,2,2,4,2,2,4,2,8,4,6,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,2,1,1,1,1,1,1,1,1,1,2,6,2,2,4,2,2,2,2,
2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1],
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1,1,2,2,2,1,4,1,1,1,1,1,2,2,2,1,2,5,1,1,1,1,1,
1,2,1,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,336,80,8,8,36,4,16,12,6,2,6,2,8,4,6,2,4,4,4,1,
1,2,6,2,2,2,2,2,2,2,2,4,4,2,2,1,1,2,6,5,1,1,1,
1,1,1,1,2,2,2,2,2,2,1,1,1,1,2,1,1,1,1,1,1,1,1,
1,1,2,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,
5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1],
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2,6,2,6,2,6,2,2,2,6,5,1,18,6,2,6,6,2,2,6,6,2,2,
2,6,6,6,2,2,2,2,2,6,6,6,2,2,2,2,2,2,1,1,1,6,6,
6,2,2,2,2,6,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,
1,1,6,2,2,4,2,2,2,2,2,2,2,2,2,2,2,1,2,2,2,2,1,
2,1,1,1,1,1,1,630,150,6,78,30,18,6,18,8,10,12,30,6,
6,6,6,2,6,6,6,6,18,6,6,6,6,2,2,2,42,6,6,2,18,6,
6,18,6,2,12,4,2,4,4,2,2,2,2,2,5,18,42,6,2,6,2,6,
6,2,6,2,2,2,2,2,2,6,6,6,6,2,6,6,6,2,18,6,6,6,6,
2,2,6,6,6,6,2,18,2,6,6,6,2,6,2,2,2,2,2,2,2,2,2,
2,2,6,6,2,2,6,6,2,2,2,2,2,2,2,4,2,2,2,2,2,2,6,
6,2,6,6,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,1,5,1,1,
2,18,6,6,6,2,2,6,6,2,2,2,2,2,2,6,2,4,2,2,2,2,6,
4,2,2,2,2,2,2,2,2,2,2,6,2,6,6,6,6,2,6,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,6,6,2,2,6,2,6,2,6,6,2,
6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,
4,2,2,2,2,6,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,1,1,1,1,1,2,2,6,4,6,2,6,2,2,
6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,6,2,
2,2,2,6,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,
1,6,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,1,2,2,2,2,2,2,1,1,2,1,1,1,1,1,1,1,1],
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2,10,2,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,1,
2,2,1,2,2,1,1,1,2,1,1,240,16,12,10,12,8,4,8,4,2,
4,4,2,8,4,4,2,4,4,2,4,4,2,2,4,4,4,4,2,2,4,2,2,
2,2,2,2,2,2,4,2,2,2,1,2,1,2,2,2,1,1,1,2,1,1],
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12,8,3,4,60,16,8,8,4,16,4,4,2,4,6,1,4,4,4,4,16,4,
4,4,3,4,4,1,4,4,3,1,1,2,1,1,4,1,1,1500,60,60,220,
60,60,12,4,60,12,4,48,28,16,8,4,4,4,4,108,60,20,4,
4,40,16,4,4,12,60,4,60,4,12,4,4,2,64,16,4,4,60,4,
20,4,4,60,4,16,4,8,4,4,4,16,16,16,4,4,4,4,4,4,28,
16,8,4,4,4,4,4,12,4,8,6,4,3,1,4,60,16,4,16,4,4,
16,4,8,4,4,4,4,4,4,4,4,16,16,4,4,4,4,4,2,4,4,4,
6,1,4,4,4,4,4,4,4,16,4,4,4,4,4,4,4,3,1,3,1,4,4,
1,4,4,4,3,1,1,1,1,1,2,1,1,4,1,1],
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8,2,1,2,1,1,240,80,16,16,8,12,8,16,8,8,8,8,8,8,8,
4,4,2,8,8,8,8,8,8,8,8,2,2,4,8,8,8,8,8,8,2,2,2,
8,8,2,2,2,1,8,2,2,1,2,1,1],
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24,16,16,8,8,8,24,8,8,8,2,30,2,2,12,4,8,4,4,4,16,
8,8,8,8,8,8,2,2,2,2,2,30,2,2,12,4,4,4,4,4,8,2,2,
2,2,2,2,2,2,4,4,4,4,4,6,2,2,2,2,2,4,6,2,2,2,2,
2,2,2,2,2,12,8,8,4,4,8,4,4,4,4,4,2,2,2,4,4,4,4,
2,2,2,4,2,2,2,2,2,2,2,2,2],
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24,16,16,8,8,8,24,8,8,8,2,30,2,2,12,4,8,4,4,4,16,
8,8,8,8,8,8,2,2,2,2,2,30,2,2,12,4,4,4,4,4,8,2,2,
2,2,2,2,2,2,4,4,4,4,4,6,2,2,2,2,2,4,6,2,2,2,2,
2,2,2,2,2,896,160,64,96,64,24,16,152,24,40,20,8,4,
20,8,4,48,8,24,16,8,8,16,8,8,8,32,8,16,16,8,24,16,
8,48,16,8,40,24,8,24,16,24,8,16,6,6,8,4,20,4,4,4,
4,4,8,8,4,8,8,4,4,4,4,4,8,16,16,8,8,24,8,16,8,8,
16,8,16,8,8,16,8,8,8,8,8,8,8,8,8,24,8,8,8,8,8,8,
8,2,2,2,2,6,6,2,2,2,12,4,12,4,4,4,4,4,8,4,4,4,4,
4,4,4,16,8,8,8,8,8,8,8,8,8,8,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,6,2,2,2,4,12,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,8,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,2,2,6,6,2,2,
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8,4,2,2,2,30,6,6,12,2,4,2,2,2,2,2,2,2,6,6,6,4,2,
2,2,2,2,2,6,2,6,2,2,2,2,2,2,2,2,56,120,48,12,12,
4,2,10,2,6,2,4,20,6,4,8,4,16,2,4,2,2,4,12,2,2,2,
4,2,12,2,2,2,4,6,6,2,4,2,6,2,2,2,2,2,2,2,2,4,4,
2,4,8,2,4,2,2,2,6,2,2,2,2,2,12,2,2,4,2,2,4,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,6,2,2,2,2,2,2,2,2],
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8,4,2,2,2,30,6,6,12,2,4,2,2,2,2,2,2,2,6,6,6,4,2,
2,2,2,2,2,6,2,6,2,2,2,2,2,2,2,2,840,40,48,12,12,
4,90,2,10,14,20,6,2,4,16,4,8,4,4,2,2,2,12,4,10,2,
2,4,12,2,4,2,2,2,2,4,2,6,2,2,2,2,2,2,2,2,4,4,2,
8,4,2,4,2,2,2,6,2,2,12,2,4,2,4,2,2,2,2,2,2,2,2,
2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,
2,2,2,2,2],
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4,2,2,2,30,2,2,12,2,2,4,2,2,2,2,2,2,4,2,4,2,2,2,
2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,840,40,48,12,
12,4,90,2,2,14,20,6,2,4,16,4,8,4,4,2,2,2,12,4,2,
4,12,2,4,2,2,2,2,4,2,6,2,2,2,2,2,2,4,4,2,2,8,4,
2,2,4,2,2,2,6,2,2,2,12,2,4,2,2,2,4,2,2,2,2,2,2,
2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,
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2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,56,120,48,12,
12,4,2,10,10,6,2,4,20,6,4,8,4,16,2,4,2,2,4,12,2,
4,2,12,2,2,2,4,6,6,2,4,2,6,2,2,2,2,2,2,4,4,2,2,
4,8,2,2,4,2,2,2,6,2,2,2,2,12,2,2,4,2,2,2,2,4,2,
2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,6,2,2,2,2,2,2,2,2,2,2],
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1,9,11,15,19,7,3,3,1,1,11,3,9,1,3,3,19,7,13,7,1,
3,6,5,2,2,2,2,45,9,11,11,3,1,7,3,7,7,5,3,11,3,7,
7,7,11,1,9,3,1,3,3,7,1,1,11,7,1,3,3,1,9,5,5,5,5,
1,3,3,3,1,1,1,1,1,1,1,1,1,1,4,2,2,2,2,2,1,1,2,
2,7,5,1,5,1,1,9,3,9,5,5,5,3,3,3,7,3,3,3,3,5,3,
7,1,3,3,5,3,3,3,3,1,1,1,1,1,1,1,5,5,3,1,1,1,1,
3,3,3,3,1,1,1,1,1,3,3,1,1,1,1,2,2,2,2,2,2,1,1,
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1,1,3,1,1,1,1,3,1,1,1,1,1,3,3,1,1,1,3,3,1,1,5,
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5,15,49,11,45,5,1,9,13,27,15,3,9,9,5,15,3,1,9,2,4,
2,6,2,2,2,2,11,35,11,7,11,11,9,45,7,11,5,5,47,7,9,
9,11,9,15,1,5,3,9,5,3,3,7,1,1,3,9,3,9,5,7,7,3,7,
3,7,3,3,5,11,7,7,11,9,11,11,5,5,7,5,7,15,7,11,9,
15,5,3,7,7,3,15,7,5,5,5,7,3,3,5,1,3,3,3,3,3,1,3,
3,1,1,1,1,1,9,5,3,3,9,5,1,1,3,3,3,1,3,1,3,9,9,
3,3,3,1,3,3,1,1,1,3,17,13,3,5,9,3,5,9,5,5,3,11,
9,13,5,5,1,3,1,1,3,1,3,3,2,6,4,2,5,1,2,2,2,2,2,
2,2,2,2,2,45,9,5,9,5,9,9,5,3,3,5,11,7,3,7,3,5,3,
11,7,5,9,1,3,1,3,3,3,3,3,1,3,3,7,3,3,7,3,3,3,7,
3,3,3,7,3,3,5,7,3,5,5,3,5,3,5,3,5,3,3,3,3,3,1,
1,3,1,7,7,5,11,5,3,9,5,3,3,3,3,3,5,5,5,7,3,3,5,
1,3,1,7,5,5,3,5,7,7,1,3,5,1,3,5,5,11,5,3,9,7,3,
1,1,1,1,3,3,9,5,5,9,3,3,3,1,1,1,1,1,3,1,3,3,3,
3,1,1,3,3,5,7,5,3,1,1,1,1,1,9,3,5,3,5,7,3,5,7,
1,1,1,3,3,1,3,3,3,3,1,1,1,1,1,1,1,1,3,5,3,5,5,
9,9,5,5,3,3,3,3,5,5,5,5,3,3,3,5,5,5,3,5,5,3,3,
5,5,3,3,3,3,5,3,5,3,5,5,3,1,1,3,1,3,3,1,1,3,3,
3,3,3,1,3,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
1,1,2,2,2,3,3,3,7,3,7,5,1,1,1,3,5,3,1,3,1,3,5,
1,1,1,1,1,1,1,1,3,5,9,1,3,3,3,9,3,5,5,1,3,5,3,
1,3,3,5,3,3,5,5,1,3,3,3,5,3,1,3,3,3,3,3,3,1,1,
3,1,3,1,1,3,3,5,1,7,3,3,1,3,1,3,1,3,1,1,3,1,3,
3,3,3,3,3,3,5,5,3,3,3,3,1,1,3,3,1,1,3,7,5,1,3,
1,5,3,1,1,1,1,1,3,3,3,1,3,3,3,5,5,3,3,1,3,1,3,
1,3,1,3,3,1,3,3,1,3,1,1,3,3,3,3,1,3,3,3,1,1,1,
3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,3,5,5,3,5,5,3,3,3,3,3,3,1,1,1,1,1,1,1,1,1,
3,1,3,3,3,1,1,3,3,1,1,3,3,1,1,1,1,1,1,1,1,1,1,
3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,
2,2,2,2,2,2,2,1,2,3,7,3,5,1,1,1,1,3,1,1,3,3,1,
3,1,1,3,1,3,1,3,3,1,3,1,3,1,1,3,3,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,1,3,
1,1,3,1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,
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1,1,1,3,3,1,3,1,1,1,1,1,3,3,1,1,3,3,1,1,1,1,1,
1,1,1,5,3,3,1,1,3,1,3,1,1,3,3,1,1,1,1,1,1,1,1,
1,1,2,2,2,2,1,1,1,1,1,1,1,1,2,2,1,1,1,1,3,1,1,
3,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,1,1,1,1,
3,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,2,2,1,1,2,2,2,2,1,1,1,1,1,1,1,1,1,1,
1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1],
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5,3,2,2,2,15,3,19,15,3,3,7,1,7,5,5,3,19,1,15,5,7,
5,3,5,1,3,1,3,15,3,3,15,15,3,3,3,3,7,3,5,5,3,1,
3,3,3,1,1,1,1,3,1,1,3,3,3,1,3,1,1,2,7,15,3,15,3,
3,3,1,7,3,3,3,1,1,3,5,3,3,1,1,3,3,15,3,3,1,3,3,
3,3,3,1,3,1,3,3,3,1,5,3,1,3,3,1,1,3,3,3,3,1,1,
3,3,1,3,3,1,3,1,3,1,1,1,1,1,7,15,3,1,1,3,3,3,3,
3,1,1,3,3,1,3,1,3,1,1,1,1,1,3,3,1,1,1,1,1,3,3,
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1,1,1,1,1,3,3,3,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,3,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1155,115,35,179,35,51,15,19,45,13,5,21,30,6,2,4,
23,15,7,9,31,9,23,7,3,3,23,15,15,7,15,5,3,5,5,99,
27,19,7,19,27,19,19,15,5,9,39,9,15,5,1,5,11,9,9,3,
3,5,5,5,1,1,5,2,4,2,6,2,2,2,2,19,91,19,7,5,15,5,
15,15,19,5,3,27,5,7,3,7,3,5,1,3,3,5,5,1,1,5,1,1,
1,3,1,3,5,15,15,3,7,3,7,3,3,5,19,15,15,5,7,19,15,
5,5,5,3,15,19,7,15,5,19,5,3,15,7,3,15,7,3,5,5,5,
1,3,3,1,3,1,3,1,3,1,3,3,3,3,3,1,1,15,15,3,3,15,
15,3,3,3,3,3,3,3,3,3,7,3,1,1,3,3,3,3,3,3,3,3,23,
19,3,15,15,3,15,15,5,5,3,7,3,7,3,3,3,3,3,3,3,3,3,
3,5,3,1,1,3,1,2,2,2,2,2,2,15,7,3,3,3,3,3,3,1,1,
5,19,15,3,7,3,3,3,15,15,3,3,1,1,3,3,3,1,1,3,1,3,
3,7,3,3,7,1,1,3,7,3,3,3,7,3,3,3,5,1,3,3,1,5,3,
5,3,3,1,3,1,3,3,3,3,1,1,5,15,5,19,15,3,7,3,1,1,
1,1,3,15,3,3,15,3,3,15,3,3,3,5,3,3,1,3,5,7,3,3,
5,1,1,3,3,5,3,1,3,5,1,3,3,1,3,3,3,3,5,3,5,1,1,
1,1,1,1,1,1,1,1,1,3,3,1,3,3,3,3,3,15,15,3,3,3,3,
1,3,15,3,15,3,15,15,3,15,15,3,3,3,3,3,3,3,3,3,3,
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3,3,3,3,1,3,5,5,1,5,3,3,1,5,3,3,1,1,1,3,1,3,1,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,
1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,
3,1,1,1,1,1,2,3,3,3,7,3,7,15,3,3,3,3,15,3,3,3,3,
3,15,1,1,3,3,3,3,1,1,1,3,3,1,1,1,1,7,3,3,3,1,3,
3,1,1,3,1,3,1,3,3,3,1,3,3,1,3,1,1,1,1,1,1,1,1,
1,1,1,1,3,3,3,1,3,3,1,5,1,1,1,3,3,1,1,3,3,3,3,
1,1,3,1,1,1,1,1,3,3,1,1,3,1,1,3,3,3,3,3,3,15,3,
3,3,3,15,3,1,3,3,1,3,3,1,3,1,1,1,1,3,3,3,1,1,3,
1,3,1,3,1,3,3,1,3,3,1,3,1,1,3,3,3,3,3,3,3,3,3,
3,3,3,1,1,1,1,3,3,3,3,1,3,1,3,1,3,3,1,3,3,1,1,
1,1,1,1,3,5,3,1,3,3,1,1,1,1,1,1,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,1,3,1,1,3,3,1,1,1,3,3,1,1,3,1,3,1,1,1,1,
1,1,1,1,1,1,1,1,3,7,3,15,3,3,1,3,1,1,1,1,1,1,1,
1,1,3,1,3,1,3,3,1,3,1,3,1,1,3,3,1,3,3,1,1,1,1,
1,1,1,1,3,1,3,3,3,1,3,3,1,1,1,1,3,3,1,3,1,1,1,
3,3,3,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,3,1,3,1,3,3,1,1,1,1,1,1,1,1,1,1,3,3,1,1,
1,3,1,3,1,3,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,1,1,
3,1,3,3,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,1,1,1,
1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
3,3,3,1,1,1,3,3,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],
[23100,300,120,15,40,16,12,68,24,28,16,5,15,3,3,3,3,56,
12,16,10,4,8,8,12,4,4,2,10,4,4,6,8,6,4,2,5,3,2,3,
1,3,1,3,3,1,1,1,6,10,4,4,4,2,4,4,4,4,4,8,4,6,4,
4,2,2,6,2,2,6,2,2,2,1,3,3,1,2,3,1,2,3,1,2,1,1,
1,1,1,2,4,4,2,4,2,2,4,4,2,2,2,2,2,2,2,3,1,1,3,
3,1,1,2,1,1,2,1,1,2,2,4,2,2,2,2,1,2,3,1,1,1,1,
1,1,1,2,1,2,2,2,1,1,2,1,1,630,126,50,46,54,42,10,
14,120,16,28,15,3,3,15,3,3,16,4,10,8,6,2,2,4,8,4,
6,4,16,8,4,4,8,6,22,14,6,14,12,16,8,10,4,10,12,6,
24,10,6,28,16,4,10,10,6,16,4,10,1,1,3,3,15,3,1,3,
3,1,1,3,3,1,3,3,1,3,3,1,1,1,1,3,3,8,12,6,10,4,
12,6,2,4,4,6,2,4,4,4,6,16,2,4,10,6,4,4,8,4,10,4,
10,4,2,2,2,4,2,4,2,4,6,8,2,2,2,4,4,6,4,2,4,4,8,
2,4,4,8,10,2,2,4,4,4,4,4,2,2,2,4,6,10,4,4,2,2,4,
4,2,2,4,2,4,6,4,4,4,4,6,6,4,4,2,2,2,2,1,5,3,1,
3,1,3,3,2,2,2,3,1,3,1,1,1,1,1,3,1,1,1,3,3,1,1,
3,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,6,2,4,2,10,4,4,
4,2,2,2,4,4,4,2,4,2,2,4,2,4,2,2,2,2,2,4,2,4,4,
2,2,4,4,2,2,2,4,2,2,4,4,2,2,4,2,8,4,2,4,2,2,4,
2,4,2,6,2,4,4,2,4,4,4,2,2,2,2,2,2,2,2,4,2,4,2,
2,6,2,2,2,2,2,2,2,2,2,4,6,2,2,2,2,2,2,2,2,2,2,
1,3,3,1,3,3,1,3,1,1,1,1,2,2,3,1,1,3,3,1,1,3,1,
1,1,1,2,2,1,3,1,1,2,2,1,1,1,1,1,1,1,1,1,1,2,2,
2,2,2,4,4,2,2,2,2,2,2,4,2,2,2,2,2,2,4,2,2,4,2,
4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,1,
1,3,1,1,1,1,1,1,1,1,3,1,3,1,3,1,3,1,1,1,1,1,2,
1,1,1,1,1,1,1,1,2,1,1,1,2,2,2,2,2,4,2,2,2,2,2,
2,2,2,1,1,2,2,2,2,3,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,2,1,1,2,2,2,2,2,2,1,1,2,1,1,1],
[23100,460,60,24,12,116,72,5,12,4,56,48,12,12,12,6,4,18,
12,2,5,14,9,4,36,4,4,12,12,12,4,6,4,8,8,2,2,2,1,
4,3,2,6,4,8,4,4,2,6,2,2,2,2,9,4,4,2,1,2,4,6,2,
2,2,2,2,1,3,3,2,1,1,2,1,4,1,1,2,1,1,1050,66,70,
154,18,42,6,6,60,12,4,24,18,2,4,12,12,6,2,2,6,2,70,
18,26,6,6,40,12,6,2,6,30,6,6,1,1,4,12,4,4,56,12,6,
6,6,6,6,26,2,2,18,6,18,6,2,12,6,2,2,4,6,6,6,4,12,
12,6,2,6,2,6,2,2,6,6,6,2,4,4,2,2,18,12,12,6,2,6,
2,2,2,2,2,2,1,5,14,4,2,3,1,4,6,18,2,6,2,4,2,2,2,
12,6,2,4,8,12,6,2,6,4,2,6,2,6,2,2,2,4,2,2,6,6,2,
2,2,4,4,6,2,8,2,2,2,6,2,2,2,2,6,6,2,2,2,2,2,2,
2,2,2,2,1,2,4,1,2,2,6,2,2,6,4,2,6,4,8,2,2,2,2,
4,2,4,2,2,2,2,2,2,2,6,2,6,2,2,2,2,2,2,2,2,2,2,
9,3,3,1,4,2,2,2,2,2,4,2,6,2,2,2,2,2,2,2,2,2,2,
1,1,3,1,3,1,2,1,1,2,1,1,2,4,1,1,2,1,1,1],
[22176,96,72,96,8,8,1,6,1,8,4,6,1,2,1,1,2,4,6,2,1,2,
1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,96,16,8,12,16,8,4,4,4,1,1,1,4,4,1,1,2,1,
1,1,1,2,2,2,1,2,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],
[17600,320,50,16,32,60,18,2,2,8,8,60,32,2,2,2,2,8,4,2,
8,2,2,8,2,18,2,2,2,8,2,336,80,32,24,8,8,10,6,2,4,
8,8,4,4,4,8,8,6,6,4,2,6,2,2,2,2,2,4,4,4,6,6,4,
8,4,8,2,2,2,2,2,2,4,4,2,2,4,4,2,4,2,2,2,4,6,2,
2,4,2],
[17600,320,50,16,32,60,18,2,2,8,8,60,32,2,2,2,2,8,4,2,
8,2,2,8,2,18,2,2,2,8,2,16,80,32,8,24,8,4,8,10,6,
2,4,8,4,4,8,8,6,6,2,4,6,2,2,2,2,2,4,4,4,6,6,8,
4,4,8,2,2,2,2,2,2,2,2,4,4,2,2,4,4,2,2,4,2,2,4,
2,6,2,2,2,4,2],
[15400,200,148,10,120,8,12,24,24,18,20,20,15,10,2,4,4,2,
8,12,6,8,8,4,12,4,6,6,4,12,6,4,4,4,4,4,2,1,15,3,
3,6,2,4,2,2,2,8,4,6,4,4,2,4,4,2,4,2,6,2,4,2,2,
2,2,2,2,2,2,1,1,1,1,1,15,3,3,3,3,6,2,2,2,2,2,4,
2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,3,3,3,2,2,2,2,2,
3,2,1,1,1,1,1,1,1,1,1,3,2,3,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,448,80,32,48,32,12,8,76,
12,6,20,10,4,2,10,4,2,24,4,12,8,4,4,4,4,8,4,4,4,
16,4,8,8,4,12,8,4,24,6,2,8,4,20,12,4,12,8,12,4,2,
8,3,3,4,2,10,2,2,2,2,2,4,4,2,4,4,2,2,2,2,2,4,8,
8,4,4,12,2,4,8,4,2,2,4,8,4,8,4,4,4,8,4,4,2,4,4,
4,2,4,4,2,2,2,2,2,4,2,2,4,4,4,12,4,4,2,4,4,2,4,
4,4,4,4,1,1,1,1,3,3,1,1,1,1,1,1,6,2,6,2,2,2,2,
2,4,2,2,2,2,2,2,2,8,4,2,4,2,4,2,4,4,2,2,2,4,4,
4,2,2,2,4,2,4,2,2,2,4,2,2,2,2,2,2,2,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,
2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,
2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,
3,3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,1,1,1,
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],
[11550,62,90,30,62,14,2,14,6,10,6,2,50,30,2,2,14,2,2,
2,14,2,14,2,2,2,2,2,2,2,6,2,2,2,2,2,2,10,2,6,10,
2,2,2,2,14,2,2,2,14,14,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,
2,2,2,14,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,14,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
420,20,20,12,12,8,8,90,2,10,6,30,2,30,2,12,20,8,4,
4,4,4,4,4,4,4,2,4,4,4,4,4,6,2,2,6,10,2,2,6,2,6,
2,2,2,2,30,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,4,4,4,4,4,4,4,4,4,2,2,2,2,4,4,4,4,4,
4,4,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,10,6,6,2,2,10,
2,2,2,2,2,2,2,2,2,4,4,4,4,2,2,2,2,2,2,2,2,4,4,
4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
10,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2],
[11550,62,90,30,62,14,2,14,6,10,6,2,50,30,2,2,14,2,2,
2,14,2,14,2,2,2,2,2,2,2,6,2,2,2,2,2,2,10,2,6,10,
2,2,2,2,14,2,2,2,14,14,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,
2,2,2,14,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,14,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
210,130,2,26,26,6,6,14,8,12,6,4,6,4,26,2,14,6,2,2,
2,14,2,2,14,2,2,14,2,2,2,2,14,2,2,2,14,2,2,14,2,
2,4,4,2,4,4,2,2,2,2,10,6,4,2,2,2,2,2,2,14,14,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,14,2,14,2,2,2,14,
2,2,2,2,2,2,2,2,14,2,2,14,2,2,2,14,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,14,2,
2,14,2,2,2,2,2,2,2,2,2,2,14,2,2,14,2,14,2,2,2,14,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,14,2,14,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,14,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],
[8800,160,72,25,160,8,16,16,8,30,25,1,9,9,1,1,4,8,16,
4,4,4,30,2,2,16,1,1,1,9,1,1,1,1,1,1,1,4,4,4,30,
2,2,1,16,4,1,4,1,1,1,1,1,1,1,4,4,1,2,1,4,1,9,4,
1,1,1,9,1,1,1,1,1,4,4,1,1,176,80,16,16,16,16,8,12,
12,12,5,5,5,5,5,5,16,8,16,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,6,6,5,5,5,1,1,1,1,3,3,3,3,3,3,
3,3,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,2,2,
2,2,2,2,2,2,6,6,2,2,2,4,4,4,4,4,4,1,1,1,1,1,1,
1,1,1,1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,6,2,2,2,1,1,4,4,
4,2,2,2,2,1,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,2,2,2,2,2,2,1,1,1,1,2,1,2,2,1,3,3,3,3,2,1,1,
1,1,1,1,3,3,1,1,1,1,1,1,1,2,2,2,1,1,1],
[7700,260,50,40,4,92,32,10,18,2,56,32,4,12,4,2,4,22,4,
2,8,10,2,14,8,2,2,2,32,4,4,12,4,4,4,2,12,4,4,2,2,
2,8,2,8,2,2,2,2,2,2,12,4,4,4,2,2,2,2,2,2,8,2,8,
2,4,4,2,2,2,2,2,6,4,2,2,2,2,2,2,2,2,2,6,2,2,2,
2,2,2,4,2,2,2,2,4,2,2,2,2,2,2,70,62,10,6,14,14,
18,10,4,8,10,6,2,8,2,2,4,4,4,6,8,2,2,2,2,2,6,6,
10,10,4,8,8,6,6,6,2,6,2,2,2,2,4,6,2,2,2,2,8,4,8,
6,6,6,2,6,2,6,6,2,6,2,6,2,2,2,2,4,2,2,4,2,4,4,
4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,
4,4,6,2,2,2,2,2,2,4,4,2,2,2,2,2,2,4,2,4,2,2,2,
2,2,2,2,2,6,6,2,2,4,2,2,4,4,4,2,2,4,2,2,2,4,4,
2,4,2,2,2,2,2,2,4,2,2,2,2,2,2,4,2,4,4,4,2,2,4,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,4,2,2,2,
4,2,2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,4,2,2,2,2,4,2,2,2,4,2,2,2,2,2,2,2,2,2,4,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2],
[7700,260,50,40,4,92,32,10,18,2,56,32,4,12,4,2,4,22,4,
2,8,10,2,14,8,2,2,2,32,4,4,12,4,4,4,2,12,4,4,2,2,
2,8,2,8,2,2,2,2,2,2,12,4,4,4,2,2,2,2,2,2,8,2,8,
2,4,4,2,2,2,2,2,6,4,2,2,2,2,2,2,2,2,2,6,2,2,2,
2,2,2,4,2,2,2,2,4,2,2,2,2,2,2,630,30,50,134,30,30,
2,2,50,18,2,40,22,2,4,12,4,2,2,2,2,2,74,30,14,2,2,
32,12,2,2,2,30,2,30,2,18,2,2,2,2,56,12,2,2,2,30,2,
14,2,2,30,2,14,2,2,4,2,2,2,4,2,2,2,12,12,12,2,2,
2,2,2,2,2,2,2,2,2,4,4,2,2,22,12,4,2,2,2,2,2,2,2,
2,2,8,10,2,2,2,14,8,2,6,2,2,2,2,2,2,30,14,2,2,2,
4,2,2,2,12,2,2,12,4,4,2,2,2,4,2,2,2,2,2,2,2,4,2,
2,2,2,2,2,2,12,12,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,8,2,2,2,8,2,2,2,2,2,2,2,2,2,2,
2,2,2,12,2,2,4,4,2,2,2,2,4,2,4,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,8,2,2,8,2,6,2,2,4,2,2,
2,2,2,2,2,2,6,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,6,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,4,2,
2,2,2,2,2],
[5775,111,75,15,31,15,3,31,15,5,19,11,25,15,3,3,3,3,7,
15,11,1,7,7,7,15,3,3,3,1,1,7,3,7,1,3,3,7,3,7,3,
1,3,5,1,3,5,1,3,1,3,1,3,3,1,1,1,15,7,7,7,3,1,7,
3,7,3,3,3,3,3,3,3,3,7,1,7,3,1,3,3,3,1,1,7,3,1,
3,3,1,3,3,3,3,3,1,3,3,3,1,1,1,1,1,1,1,1,1,1,1,
1,1,3,3,1,1,1,3,1,1,1,3,1,1,1,1,1,1,1,1,7,1,1,
1,1,1,7,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,3,3,
3,1,1,1,3,1,1,1,1,1,1,1,3,3,3,1,1,1,1,3,3,3,3,
1,1,1,1,1,3,3,1,1,1,1,1,3,1,1,1,3,3,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,5,7,1,1,3,3,1,1,1,1,1,1,1,
1,1,1,3,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,1,3,1,
1,1,1,3,3,1,1,3,3,3,1,1,1,1,1,1,1,1,3,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,3,1,3,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,315,75,11,43,27,27,7,11,
75,11,5,19,15,3,3,15,3,3,19,11,7,7,11,7,7,7,3,3,
11,3,7,7,11,3,3,3,3,19,19,3,7,11,7,7,7,7,3,7,15,
7,15,5,1,7,7,19,11,3,7,7,3,11,3,1,7,5,3,3,15,3,1,
3,3,1,1,3,3,1,3,3,1,3,3,1,1,1,1,3,3,7,7,3,3,7,
7,7,15,3,3,3,3,15,3,3,7,7,7,11,1,3,3,7,3,3,3,3,
1,1,3,7,3,7,3,3,3,3,7,3,7,3,3,3,7,3,3,7,3,3,7,
3,3,3,3,3,7,7,7,7,11,3,3,3,7,3,11,3,3,3,3,3,3,3,
3,1,3,3,3,3,3,1,3,3,1,1,1,1,1,5,1,3,3,5,1,1,1,
3,3,3,1,3,1,3,7,7,3,3,3,1,3,3,1,1,1,3,5,5,3,1,
5,3,1,5,3,3,3,7,7,7,3,3,1,3,1,1,3,1,3,3,1,5,1,
1,3,1,3,1,3,3,5,1,1,1,1,1,3,1,3,1,1,1,1,1,3,1,
1,1,3,3,1,1,3,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,15,
3,3,7,3,7,7,3,3,3,3,7,3,3,7,3,3,3,7,3,3,7,1,3,
1,3,3,3,3,3,1,3,3,7,3,3,7,3,3,3,7,3,3,3,7,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,3,1,3,3,3,
3,1,1,3,3,3,3,3,3,1,1,3,3,3,3,1,1,1,3,1,3,3,3,
3,3,3,3,1,3,3,1,3,3,3,7,3,3,7,3,3,1,1,1,1,3,3,
7,3,3,7,3,3,3,1,1,1,1,1,3,1,3,3,3,3,1,1,3,3,3,
3,1,3,1,1,1,1,1,5,3,1,3,1,3,3,1,3,1,1,1,3,3,1,
3,3,3,3,1,1,1,1,1,1,1,1,1,3,1,3,3,3,3,3,3,3,1,
1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,1,1,3,1,3,3,1,1,3,3,3,3,3,1,3,1,
3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,3,3,1,3,3,1,3,1,1,1,1,1,1,1,1,3,1,
1,3,3,1,1,3,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,3,3,3,7,3,7,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,7,1,3,3,3,3,1,
3,3,1,1,3,3,1,1,3,3,3,1,3,3,1,1,1,3,3,3,1,3,3,
3,3,3,3,1,1,3,1,3,1,1,3,3,3,1,3,3,3,1,3,1,3,1,
3,1,1,3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,3,3,1,
1,1,3,3,1,3,1,1,3,1,1,1,1,1,3,3,3,1,3,3,3,3,3,
1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
3,3,3,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,
1,1,1,1,1,1,3,1,3,3,3,1,1,3,3,1,1,3,3,1,1,1,1,
1,1,1,1,1,1,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,1,3,
1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,3,1,3,1,3,1,3,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,5,3,7,1,1,1,1,1,1,3,1,1,3,3,1,3,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,1,3,1,1,3,1,
3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,3,1,1,
1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,3,
1,1,1,1,1,1,1,1,3,3,1,1,3,3,1,1,1,1,1,1,1,1,3,
1,3,1,1,3,1,3,1,1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,3,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,3,3,1,1,1,1,3,1,3,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],
[4125,125,45,30,5,21,5,45,21,5,9,5,4,6,2,2,29,17,5,1,
3,5,9,5,5,1,1,1,1,5,1,3,1,1,1,13,5,7,5,1,1,6,5,
6,3,2,2,2,15,3,5,5,1,1,1,1,1,5,3,1,9,1,5,5,5,5,
1,3,1,1,1,1,5,1,1,5,5,1,1,1,1,7,3,3,3,3,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,2,4,2,2,4,1,2,2,1,1,2,2,
1,5,1,5,1,1,3,1,7,3,3,3,1,1,1,5,1,1,1,1,3,1,5,
1,1,1,3,3,3,3,1,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,2,2,2,2,2,2,1,
1,1,1,2,1,1,5,1,1,1,3,3,3,3,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,
1,3,1,1,1,1,1,1,1,2,1,3,1,1,2,2,1,1,1,1,1,1,1,
3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,
1,1,2,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,345,25,25,65,17,
21,9,5,45,5,5,9,30,6,2,4,5,5,1,3,21,7,13,1,1,1,9,
5,5,1,5,3,3,3,3,37,17,9,5,5,17,9,5,5,3,9,19,5,15,
5,1,3,7,9,5,1,3,3,3,5,1,1,3,2,4,2,6,2,2,2,2,2,
5,29,9,5,5,5,3,15,5,9,3,3,17,5,7,3,5,3,5,1,3,1,
3,3,1,1,5,1,1,1,3,1,3,3,5,5,1,1,1,1,1,1,3,5,5,
5,5,7,9,5,3,3,5,3,5,9,1,5,3,5,3,1,5,1,1,5,5,3,
3,3,5,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,5,1,
1,5,5,1,1,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1,1,
1,13,9,1,5,5,1,5,5,3,3,1,5,3,7,3,3,1,1,1,1,1,1,
1,1,2,6,4,2,5,1,6,4,2,2,3,1,2,2,2,2,2,2,15,7,3,
3,3,3,3,3,1,1,3,5,5,1,1,1,3,1,5,5,3,3,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,5,
1,3,3,1,3,1,3,1,3,1,1,1,1,1,1,1,1,1,5,5,3,9,5,
3,7,3,1,1,1,1,3,5,3,3,5,1,3,5,1,1,1,5,3,3,1,3,
5,5,1,1,3,1,1,3,3,5,3,1,3,5,1,1,1,1,1,1,1,3,3,
3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,5,5,
1,1,1,1,1,1,5,1,5,1,5,5,1,5,5,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,7,7,3,3,1,3,3,1,
3,3,3,3,1,1,1,3,3,3,1,3,3,1,1,3,3,1,1,1,1,3,1,
3,1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,
2,4,2,2,2,2,2,4,1,2,2,2,2,2,2,2,2,1,1,2,2,2,1,
1,1,1,1,1,5,1,1,1,3,5,3,1,3,1,3,5,1,1,1,1,1,1,
1,1,1,3,3,1,1,1,1,7,3,3,3,1,3,3,1,1,3,1,3,1,3,
3,3,1,3,3,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,3,1,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
3,3,1,1,1,1,1,1,1,1,1,1,3,5,3,1,1,1,5,1,1,1,1,
1,1,1,1,1,1,1,1,1,3,3,3,1,1,3,1,3,1,3,1,3,3,1,
3,3,1,3,1,1,3,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,1,
3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,3,1,3,1,1,1,1,1,1,2,2,2,2,2,2,
2,2,2,2,2,2,1,2,1,1,1,3,5,1,1,1,1,1,1,1,1,1,1,
1,1,1,3,1,3,1,3,3,1,3,1,3,1,1,3,3,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,3,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,2,2,2,2,1,1,1,1,3,1,1,1,1,1,1,1,2,2,1,1,1,
1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,2,2,1,
1,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1],
[3850,170,30,25,10,26,6,58,34,10,6,5,5,1,11,3,5,42,22,
6,4,10,14,10,6,2,2,10,2,4,2,2,18,6,8,6,2,4,5,1,7,
4,1,1,3,1,1,1,5,1,1,16,4,10,10,2,2,2,2,6,4,2,14,
2,10,6,6,6,4,2,2,2,10,10,10,2,2,8,4,4,4,4,2,2,2,
2,2,2,2,4,2,2,1,1,1,1,1,5,2,1,1,3,1,1,1,1,1,1,
1,1,2,10,10,4,2,8,4,4,4,2,2,2,6,2,2,2,2,4,2,10,
2,2,4,4,4,4,2,2,2,4,4,2,2,2,2,2,2,2,2,2,4,2,2,
1,4,1,1,2,2,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,3,10,
2,2,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,4,
2,2,2,2,1,1,1,1,1,1,1,4,2,2,1,1,1,1,2,1,1,2,2,
1,1,1,2,4,2,2,2,2,2,2,2,1,1,1,2,1,1,1,1,1,1,1,
2,1,2,2,1,1,1,1,2,2,1,1,1,1,1,1,2,1,1,1,1,2,1,
1,1,1,1,1,1,1,350,46,30,86,22,34,10,10,30,6,10,25,
11,5,5,3,1,10,10,2,4,26,8,18,2,2,2,14,10,10,2,10,
4,4,4,4,50,22,14,6,10,22,14,10,10,4,10,28,6,16,4,8,
10,6,2,4,4,4,6,2,4,1,1,3,1,5,1,1,1,1,1,5,3,11,1,
3,3,1,5,1,1,1,5,1,1,1,10,42,14,6,6,10,4,16,10,14,
4,4,22,6,8,4,6,4,6,4,2,4,4,2,2,6,2,4,2,4,4,10,
10,2,2,2,2,2,2,4,10,10,10,6,8,14,10,4,4,6,4,10,14,
2,10,4,10,4,2,10,2,2,10,6,4,4,4,6,2,2,4,2,2,2,2,
2,2,2,10,10,2,2,10,10,2,2,2,2,2,2,2,4,4,2,2,2,2,
2,2,2,2,18,14,2,10,10,2,10,10,4,4,2,6,4,8,4,4,2,
2,2,2,2,2,2,2,4,2,2,1,5,1,1,1,1,1,1,7,5,1,3,4,
2,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,
5,1,1,1,1,1,1,1,1,1,16,8,4,4,4,4,4,4,2,2,4,10,
10,2,2,2,4,2,10,10,4,4,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,4,6,2,4,4,2,4,2,4,2,4,2,2,2,2,2,2,
2,6,10,4,14,10,4,8,4,2,2,2,2,4,10,4,4,10,2,4,10,
2,2,2,6,4,4,2,4,6,6,2,4,2,4,4,6,4,2,4,6,2,2,2,
4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,4,10,10,2,2,10,2,
10,2,10,10,2,10,10,2,2,2,2,2,2,2,2,2,4,4,4,4,4,8,
8,4,4,2,4,4,2,4,4,4,4,2,2,2,4,4,4,2,4,4,2,2,4,
4,2,2,2,2,4,2,4,2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,
2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,5,2,1,1,1,
1,1,1,1,1,1,1,1,1,3,1,3,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,2,2,2,10,2,4,10,4,2,4,2,4,10,2,
4,4,2,2,2,8,4,4,4,2,4,4,2,2,4,2,4,2,4,4,4,2,4,
4,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,6,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,2,2,4,10,4,2,2,
2,10,2,2,2,2,2,2,2,4,4,4,2,2,4,2,4,2,4,2,4,4,2,
4,4,2,4,2,2,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,4,4,2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,1,
1,1,1,4,2,4,2,1,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,3,1,4,10,2,2,2,2,2,2,2,2,4,
2,4,2,4,4,2,4,2,4,2,2,4,4,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,4,2,4,2,2,2,2,2,2,2,4,4,
2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,4,2,2,2,2,2,1,1,1,1,1,1,1,2,2,1,1,1,
1,2,2,2,1,1,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,2,1,1,1,
1,1,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,2,2,
1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1],
[2200,120,40,16,8,40,24,10,12,2,24,8,8,8,8,8,4,10,16,
12,24,8,8,8,8,8,8,8,4,2,4,4,8,8,8,4,2,12,8,8,4,
6,8,2,4,4,4,2,2,8,2,2,4,2,32,8,4,8,4,4,4,8,4,2,
2,4,2,4,4,4,4,4,4,4,2,4,4,4,4,4,4,2,4,4,2,4,4,
2,4,2,2,4,2,2],
[2200,120,40,16,8,40,24,10,12,2,24,8,8,8,8,8,4,10,16,
12,24,8,8,8,8,8,8,8,4,2,4,4,8,8,8,4,2,12,8,8,4,
6,8,2,4,4,4,2,2,8,2,2,4,2,240,40,48,40,12,16,8,8,
8,16,16,24,12,2,16,16,8,8,8,8,8,8,4,10,16,4,16,8,
8,8,8,8,8,4,2,4,8,8,8,8,2,4,12,4,8,6,8,2,4,4,2,
8,2,4,2],
[2200,120,22,16,8,40,32,20,10,6,2,16,24,8,8,8,4,12,8,
4,20,14,4,2,2,6,2,2,20,8,8,8,4,8,4,4,4,4,4,2,6,
4,2,6,4,4,2,2,4,8,4,4,4,4,4,2,2,2,6,4,2,2,8,2,
4,4,2,4,2,2,2,2,4,2,2,2,2,2,4,2,2,2,4,2,2,4,2,
2,2,212,20,20,52,20,20,12,4,20,8,4,2,2,2,16,12,8,8,
4,4,4,4,28,20,12,4,4,16,8,4,4,12,20,4,20,2,2,2,4,
2,8,4,2,2,4,2,2,2,16,8,4,4,20,4,12,4,4,20,4,8,4,
8,4,4,4,8,8,8,4,4,4,4,4,4,12,8,8,4,4,4,4,2,2,2,
2,2,6,2,4,12,2,2,4,4,4,4,2,2,2,2,2,4,2,2,2,2,2,
20,8,4,8,4,4,8,4,8,4,4,4,4,4,4,4,4,8,8,4,4,4,4,
4,2,2,2,2,2,2,2,2,2,2,2,4,2,4,4,4,2,2,4,2,2,2,
4,4,4,4,2,2,2,4,4,8,4,4,4,4,4,4,4,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,2,6,2,2,4,2,2,
4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,
2,2,2,2,2,2,2,2,2,2],
[2200,120,22,16,8,40,32,20,10,6,2,16,24,8,8,8,4,12,8,
4,20,14,4,2,2,6,2,2,20,8,8,8,4,8,4,4,4,4,4,2,6,
4,2,6,4,4,2,2,4,8,4,4,4,4,4,2,2,2,6,4,2,2,8,2,
4,4,2,4,2,2,2,2,4,2,2,2,2,2,4,2,2,2,4,2,2,4,2,
2,2,56,40,8,24,16,8,8,2,2,2,20,8,4,4,8,4,4,4,8,8,
8,8,4,8,4,8,12,6,6,4,2,8,2,2,4,2,2,4,2,2,8,8,8,
4,4,4,8,4,4,4,8,4,4,4,4,4,4,4,4,2,2,2,2,6,2,12,
2,2,4,4,2,2,2,4,2,2,2,2,2,2,8,4,4,4,8,4,4,4,4,
4,4,4,2,2,2,2,2,2,2,2,2,2,4,2,4,2,2,4,4,2,2,2,
4,2,2,2,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,4,2,2,
2,2,2,2,2,6,2,4,2,2,4,4,2,2,2,2,2,2,2,4,2,2,2,
2,2,2,2,2,2],
[1100,60,32,11,40,16,4,20,16,12,8,10,11,3,5,5,3,1,8,
12,8,6,4,8,8,4,4,4,2,10,4,4,6,6,4,2,2,10,2,2,7,
2,1,1,3,5,3,3,1,3,1,1,1,1,10,6,4,4,4,2,4,4,4,4,
4,4,6,4,4,2,6,2,2,2,2,2,2,2,2,2,2,2,2,10,2,2,1,
7,3,3,2,1,3,3,2,1,3,2,1,1,1,1,1,1,1,1,2,4,4,4,
2,2,2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,1,2,2,1,1,
1,3,3,1,3,3,3,2,1,1,2,1,1,4,1,1,1,2,2,4,2,2,2,
2,2,2,2,2,1,1,2,1,2,1,3,1,1,1,1,1,1,1,1,4,2,2,
1,2,1,2,1,1,1,1,1,2,2,2,1,1,2,1,1,1,1,2,1,1,1,
2,1,1,1,2,2,2,1,1,1,2,1,1,1,1,134,30,10,30,22,18,
10,6,32,8,12,11,5,3,11,5,3,16,4,10,16,6,6,2,4,8,4,
2,4,8,4,4,4,14,14,6,6,6,8,4,6,4,10,12,6,16,6,6,
12,8,4,10,6,2,8,4,6,4,4,5,3,11,1,3,3,3,3,3,5,5,
3,5,5,3,3,3,1,1,3,3,1,1,1,1,8,4,6,6,4,12,2,6,4,
4,10,2,4,4,4,6,8,2,4,6,2,4,4,4,6,4,6,4,4,2,2,2,
4,2,2,4,6,4,4,2,2,2,8,6,4,2,4,4,8,2,4,4,2,2,2,
4,4,4,4,4,2,2,2,4,6,10,4,4,4,2,2,4,6,4,2,4,2,2,
4,4,6,6,4,4,2,2,2,2,2,2,2,2,4,4,2,2,2,7,3,7,3,
3,3,2,2,2,1,1,1,1,1,1,1,3,1,3,5,3,3,3,3,1,3,1,
1,1,1,1,3,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,10,4,
2,4,2,6,4,4,2,2,2,4,4,4,2,4,2,2,4,4,2,2,2,2,2,
2,4,2,4,4,2,2,4,4,2,2,2,4,4,2,2,2,4,2,4,2,2,4,
2,2,4,2,4,2,6,2,4,4,2,4,4,4,2,2,2,2,4,2,2,2,6,
4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,
1,1,3,7,3,1,3,3,3,3,3,3,3,2,2,1,1,3,3,3,1,1,1,
3,3,3,3,3,2,2,1,1,3,1,2,2,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,2,4,2,2,2,2,2,2,
2,2,2,2,2,4,2,2,4,2,4,4,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1,1,1,1,3,3,
3,1,1,3,1,1,1,1,3,3,1,1,3,3,3,3,2,1,1,1,1,1,1,
1,1,2,1,1,2,2,4,4,1,1,1,1,1,1,2,2,2,2,4,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,2,2,1,1,2,2,2,
2,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,2,
2,2,2,2,1,2,1,1,1,1,2,1,1,1,1,1,1,1,1,1,2,2,2,
2,2,2,1,1,2,1,1,1,1,1,1,1,1,1,2,2,1,1,1,1,1,1,
2,1,1,1,1,1,1,2,2,2,2,1,1,1,2,1,1,1,1,1,1],
[1100,60,20,20,8,8,20,12,4,5,4,6,2,1,12,4,4,4,4,6,6,
2,2,4,2,4,2,2,2,5,8,6,2,1,12,4,4,4,4,4,4,2,2,2,
4,4,2,2,2,2,2,2,2,2,2,1,1,2,2,2,2,4,4,4,2,2,2,
2,2,2,2,2,2,2,1,6,4,4,2,3,4,2,2,2,2,2,2,2,2,2,
2,2,2,1,2,2,2,1,1,4,1,1,1,1,2,1,1,2,1,1,120,16,
20,24,4,8,20,6,2,4,8,4,2,2,6,4,4,4,2,8,8,12,2,4,
2,1,1,2,4,2,6,2,2,1,1,8,8,4,2,2,4,2,4,2,4,6,4,
2,2,2,4,2,2,2,2,4,2,4,2,2,2,2,2,2,2,2,1,5,8,2,
2,2,1,8,4,2,2,4,4,2,4,2,4,2,4,2,2,2,2,2,2,4,2,
2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,2,4,4,4,4,2,2,
2,2,2,2,2,2,2,2,2,2,1,6,2,4,2,3,1,4,2,2,2,2,2,
2,2,2,2,2,2,1,2,2,2,1,1,4,2,1,1,1,2,1,2,1,1,1],
[100,20,10,8,4,12,8,5,6,2,2,8,8,4,4,4,2,4,6,4,2,4,
5,1,2,6,5,2,2,2,8,4,4,4,4,4,4,2,4,4,4,2,2,2,4,
1,2,2,4,3,2,2,2,2,2,4,4,4,4,2,2,2,2,2,2,4,2,2,
5,2,4,4,2,2,2,2,1,1,3,4,4,2,2,2,2,2,2,2,2,3,2,
3,3,2,2,1,1,2,2,3,2,2,1,1,4,2,2,2,1,2,1,2,3,2,
2,2,1,1,2,3,1,1,1,2,2,1,30,6,10,14,6,6,2,2,10,6,
2,8,6,2,4,4,4,2,2,2,2,2,10,6,6,2,2,8,4,2,2,2,6,
2,6,1,1,2,6,2,2,2,2,2,8,4,2,2,2,6,2,6,2,2,6,2,
6,2,2,4,2,2,2,4,2,2,2,4,4,4,2,2,2,2,2,2,2,2,2,
2,2,4,4,2,2,6,4,4,2,2,2,2,2,2,2,2,2,4,1,5,1,2,
2,2,6,4,2,3,1,2,2,2,2,2,2,6,6,2,2,2,4,2,2,2,4,
2,2,4,4,4,2,2,2,4,2,2,2,2,2,2,2,4,2,2,2,2,2,2,
2,4,4,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,4,1,2,2,2,2,4,1,2,2,2,2,2,2,2,2,2,2,2,2,
2,4,2,2,4,4,2,2,2,2,4,2,4,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,4,2,2,5,3,3,1,2,2,4,2,2,
2,2,2,2,2,2,1,1,4,2,4,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,1,1,2,2,2,2,3,1,3,1,2,2,1,1,2,2,2,3,1,2,1,
1,2,4,2,2,2,2,2,2,1,2,2,1,1,3,2,2,2,1,1,2,1,3,
1,1,2,2,1],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1]],0,0,[2057,2047,2041,2006,2047,1987,1816,2035,1990,1910,1903,1816,
2038,2023,1766,2006,1519,1715,1715,1519,1464,2048,2015,1923,
1876,1736,1987,1926,1987,1923,1816,1816,1550,469,1975,1793,
1903,382,1695,1793,1788,1549,1626,1695,320,1691,1937,2023,
1907,1720,1766,1721,1720,1526,1990,1910,1752,1710,1846,1519,
1715,1165,1519,1519,1519,1519,1519,1464,1780,2049,2015,2034,
2015,1923,1876,2035,2007,1987,1923,1782,1987,1926,1923,1987,
1923,1923,1782,1816,1782,1695,1550,1695,1987,1987,1816,469,
1975,1788,382,1793,1793,1549,1926,1926,1782,1782,1782,382,
1793,1835,1788,1694,1695,320,320,1691,320,320,1691,1691,1691,
1937,1937,1937,1715,1715,2023,1720,1113,1910,1720,1720,1721,
1721,1721,1464,1990,1903,1736,1501,1499,1144,1903,1736,1752,
1508,1846,1519,355,1765,1519,1519,1519,1519,1519,2021,1982,
1780,1780,1780,2035,2024,1924,2015,1980,1922,2015,1923,2014,
1926,1926,1926,1782,2007,1987,1923,1987,1987,1923,1923,1782,
1987,1987,1816,1987,1923,1926,1926,1926,1787,1915,1816,1920,
438,1924,1922,1926,1817,1782,1782,1782,1788,1793,382,382,1793,
1788,1793,1788,382,382,1793,1788,320,1782,1810,1695,1691,1695,
1937,1937,1937,396,1843,1843,1715,1846,1715,1910,336,1720,
1720,1721,1464,1993,1990,1903,1979,1906,1903,1903,1903,1736,
1736,1752,1752,1903,1752,1508,1903,1765,355,355,355,1765,1765,
1519,2021,1907,1907,1766,1526,1854,2023,2006,363,1773,1910,
1780,1780,1780,2048,2047,2034,2035,1987,2015,2015,1926,1926,
2011,1987,1987,1987,1987,1923,1987,475,1987,1926,1926,1926,
1926,1926,1922,1926,1817,1817,1919,1926,438,1924,1920,438,
1923,1926,438,1924,438,1915,1915,1926,1922,1926,1923,1922,
1915,1920,1924,1816,1816,444,444,1840,1937,1841,1937,1937,
1843,1846,1846,1843,1846,1945,1910,1721,2015,1980,1990,1903,
1993,1904,1979,1903,1903,1903,1752,1898,424,1900,1903,1903,
1906,1904,355,1765,1907,1766,1907,1907,2006,1909,363,1773,471,
1908,1909,1910,1780,2038,2035,2015,1987,1987,1987,1987,1987,
1987,1926,1926,438,1923,1923,1926,1926,1922,1922,1924,1924,
1926,436,1915,2022,444,444,1937,1937,1937,1846,2024,1945,1946,
451,1853,1854,2006,2035,2015,2015,2015,1980,2015,2015,2015,
2015,1980,1980,1979,1979,1979,1903,1904,1905,1906,1907,471,
471,471,1908,1909,1910,2038,2021,2034,2035,1987,1987,1987,
1987,1987,2022,1990,1993,1937,2023,2024,2024,2024,1945,1946,
451,2041,488,2001,2006,2006,2006,2035,2015,2015,2015,2015,
2015,2015,2014,2015,2008,1979,1980,2027,471,2038,2038,2038,
1987,2022,2022,2022,2023,502,2024,1998,518,2041,2041,518,2001,
488,2041,2006,2035,2035,2034,2035,2015,2036,2037,515,2038,
2022,2023,2024,2025,2026,2027,518,518,2041,2041,2041,2034,
2035,2036,2037,2038,2044,517,2041,2047,2044,2049,2047,523,
2048,2049,2055,2054,2054,2055,531,531,2056,2057,2054,2036,
1996,2015,2015,1903,1903,1681,2041,1695,1720,1736,2006,1715,
1519,2006,1715,1519,2015,2024,1819,1903,1987,1626,1788,1691,
1793,1793,1787,1915,1788,1816,1987,1681,1221,1293,1681,2014,
1926,1926,1782,1926,1788,1788,1898,1736,1221,1903,1903,1626,
1990,1720,868,1221,1626,1903,1626,1221,1903,1681,1293,1695,
1695,1307,1681,1766,1780,1780,1113,1113,1715,1519,2006,1164,
1165,1519,1519,1165,1165,1715,1715,1165,1715,1715,1165,1519,
1519,1519,1519,1519,1519,1519,1519,1464,1464,2034,2048,1926,
1923,1782,2015,1782,2015,1926,1926,1782,1926,2015,1782,1926,
2015,1782,1782,1923,1550,1782,1782,1782,1782,1923,1923,1923,
1307,1307,1221,1736,1221,1736,1782,1915,1926,1793,1793,1926,
1926,1915,1915,1782,1926,1915,1547,1782,1782,1926,1926,1782,
1782,1782,1782,1926,1926,1835,1788,1782,1926,1782,1793,1987,
1923,1917,1987,1782,1782,1782,1782,1782,1782,1782,1782,1697,
1681,1695,1595,1695,1549,1695,1816,1816,1549,1816,1816,1307,
1307,1788,1975,1691,1691,1788,1975,1793,1793,1691,1549,1691,
1793,1549,1793,1221,1626,1903,1221,1221,1549,1793,1691,1691,
1793,1793,1793,1549,1788,1547,1691,1788,1547,1691,1788,1788,
1293,1293,1221,1219,1626,1626,1221,1221,1691,1691,1691,1691,
1691,1691,1691,1691,1715,1843,1715,1843,1780,1780,1463,1907,
1461,1460,1113,1766,1462,1462,1720,1720,1720,1720,1526,1990,
1736,1990,1736,1903,1903,1910,1508,1752,1499,1501,1752,1710,
1144,1846,1519,1846,1519,1519,1519,1519,1519,1715,1165,1165,
1165,1519,1519,1519,1519,1519,1519,1519,1519,1519,1519,1519,
1519,1519,1519,1519,1519,1519,1519,1519,1519,1464,1780,1780,
1780,1780,2049,2014,1926,2015,1926,2015,2015,1926,1782,1782,
1782,2034,1987,1915,1987,1987,1782,1782,2015,1926,1926,2015,
1816,1923,1816,1782,1923,1923,1782,1923,1307,1926,1915,2014,
1915,1924,2008,1782,1958,1926,1922,1915,1917,1917,1926,1922,
1915,1782,1782,1782,1782,1782,1782,1782,1782,1782,1782,1782,
1782,1926,1923,1926,1793,1915,1915,1923,1795,1782,1926,1782,
1926,1787,1787,1926,1926,1782,1782,1782,1782,1926,1987,1926,
1926,1926,1793,1926,1987,1987,1926,1987,1782,1782,1782,1782,
1782,1923,1923,1817,1923,1782,1817,1923,1782,1782,1782,1782,
1782,1782,1782,1782,1549,1816,1695,1816,1782,1782,1782,1782,
1782,1782,1782,1782,1221,1550,1550,1550,1550,1695,1695,1695,
1695,1793,1926,1782,1915,1915,1926,1793,1782,1926,1915,1926,
1915,1549,1816,1695,1816,1788,1691,1975,1788,1788,1788,1788,
1788,1788,1788,1788,1793,1549,1691,1793,1793,1793,1793,1793,
1793,1793,1793,1793,1549,1549,1549,1549,1787,1926,1787,1782,
1782,1926,1926,1926,1926,1782,1787,1787,1782,1926,1926,1926,
1782,1782,1782,1782,1782,1782,1782,1782,1782,1782,1782,1782,
1782,1782,1782,1782,1782,1782,1782,1782,1782,1782,1782,1782,
1793,1793,1793,1793,1793,1793,1793,1793,1691,1835,1835,1599,
1788,1788,1788,1788,1788,1788,1788,1788,1348,1695,1695,1695,
1695,1691,1691,1691,1691,1691,1691,1691,1691,1691,1691,1691,
1691,1691,1691,1691,1691,1715,1937,1937,1715,1705,1843,1843,
1843,1843,1843,1715,1715,1715,1715,1715,1715,1715,1715,1780,
1460,1113,1720,1720,1720,1720,1720,1720,1720,1720,1462,1463,
1462,1721,1721,1464,1464,1903,1990,1736,1734,1903,1736,1903,
1736,1736,1736,1736,1501,1501,1499,1499,1144,1903,1903,1903,
1903,1903,1903,1903,1903,1736,1736,1736,1736,1752,1752,1752,
1752,1508,1508,1519,1846,1519,1519,1765,1765,1765,1765,1519,
1519,1519,1519,1519,1519,1519,1519,1519,1519,1766,1982,1780,
1780,1780,1780,1780,1780,1780,1780,1915,1987,1915,2035,1987,
2035,1996,1788,1793,1793,1926,2015,1926,1926,2015,1926,2015,
2015,1817,1817,1980,1980,1793,1793,1795,1795,1782,1926,2015,
1816,1923,1782,1923,2014,1787,1926,1926,1926,1926,1926,1926,
1926,1926,1926,1926,1782,1787,1926,1926,1926,1926,1926,1926,
1926,1926,1926,1782,1782,1782,1782,2007,1923,1817,1922,1987,
1926,1926,1987,1987,1987,1922,1782,1817,1923,1923,1926,1987,
1926,1987,1924,1987,1924,1987,1915,1926,1916,1923,1924,1925,
1782,1782,1782,1782,1782,1782,1782,1782,1987,1923,1923,1915,
1915,1987,1987,1987,1926,1987,1926,1915,1915,1987,1987,1987,
1816,1816,1816,1816,1915,1926,1917,1922,1816,1923,1782,1923,
1926,1926,1787,1782,1926,1926,1926,1926,1926,1926,1926,1926,
1926,1926,1926,1926,1926,1926,1926,1926,1787,1787,1787,1787,
1915,1915,1915,1915,1915,1915,1915,1915,1816,1816,1816,1816,
1788,1788,1793,1793,1795,1793,1795,1793,1926,1926,1926,1926,
1926,1926,1926,1926,1817,1817,1817,1817,1782,1782,1782,1782,
1782,1782,1782,1782,1782,1782,1782,1782,1788,1788,1788,1788,
1793,1793,1793,1793,1793,1793,1793,1793,1788,1788,1788,1788,
1793,1793,1793,1793,1788,1788,1788,1788,1793,1793,1793,1793,
1788,1788,1788,1788,1782,1782,1782,1782,1810,1810,1810,1810,
1695,1695,1691,1691,1695,1695,1841,1843,1937,1937,1843,1843,
1840,1937,1843,1937,1843,1843,1843,1843,1843,1843,1843,1843,
1715,1715,1846,1846,1846,1846,1715,1715,1720,1720,1720,1720,
1720,1720,1721,1721,1464,1993,1904,1993,1904,1990,1903,1903,
1990,1903,1903,1903,1903,1979,1898,1900,1979,1762,1903,1903,
1903,1903,1903,1903,1903,1903,1903,1903,1903,1903,1736,1736,
1736,1736,1752,1752,1752,1752,1903,1903,1903,1903,1752,1752,
1508,1903,1903,1903,1903,1765,1765,1765,1765,1765,1765,1519,
1907,2021,1907,1907,1766,1766,1526,1854,1908,2023,1909,1909,
2006,2006,1773,1773,1910,1910,1780,1780,1780,1780,1780,1780,
1987,2048,2015,2047,1987,1987,1923,2034,2014,1987,1987,2008,
1926,1987,1924,1987,1926,2015,1926,2015,1926,2015,2015,1926,
1926,1926,1926,1926,1926,1926,1926,1926,1915,2011,1987,1926,
1922,1987,1987,1926,1922,1987,1987,1923,1915,1987,1915,1926,
1987,1987,1923,1923,1923,1923,1915,1987,1917,1987,1987,1987,
1987,1987,1987,1987,1987,1987,1926,1926,1926,1926,1926,1926,
1926,1926,1926,1926,1926,1926,1926,1926,1926,1926,1926,1926,
1926,1926,1922,1922,1922,1922,1926,1926,1926,1926,1817,1817,
1817,1817,1810,1926,1926,1926,1926,1924,1924,1924,1924,1791,
1788,1782,1926,1926,1926,1926,1924,1924,1924,1924,1915,1915,
1915,1915,1915,1915,1915,1915,1926,1926,1926,1926,1793,1795,
1926,1926,1926,1926,1923,1923,1923,1923,1922,1922,1922,1922,
1915,1915,1915,1915,1788,1793,1816,1816,1816,1816,1840,1840,
1937,1937,1937,1937,1841,1841,1843,1843,1843,1843,1846,1846,
1846,1846,1843,1843,1846,1846,1945,1945,1720,1721,2015,2015,
2015,2015,2015,2015,2015,2015,1980,1980,1980,1980,1990,1903,
1903,1903,1993,1904,1904,1904,1979,1979,1979,1979,1903,1903,
1903,1903,1903,1903,1752,1898,1898,1900,1900,1903,1903,1903,
1903,1906,1906,1904,1904,1765,1766,1907,1907,2006,1909,1909,
1909,1773,1908,1908,1909,1909,1910,1910,1780,1982,2035,1987,
1987,2035,1926,2015,1987,1987,1987,1987,1987,1987,1987,1987,
1987,1987,1987,1987,1987,1987,1987,1987,1987,1987,1987,1987,
1987,1987,1987,1987,1926,1926,1926,1926,1923,1923,1923,1923,
1926,1926,1926,1926,1922,1922,1922,1922,1924,1924,1924,1924,
1926,1926,1915,1915,1993,2022,2022,1990,1937,1937,1937,1937,
1937,1937,1846,1996,1996,1945,1945,1946,1946,1853,1854,2006,
2006,2006,2006,2014,2035,2008,2035,2015,2015,2015,2015,2015,
2015,2015,2015,2015,2015,2015,2015,1980,1980,2015,2015,2015,
2015,2015,2015,2015,2015,2015,2015,2015,2015,2015,2015,2015,
2015,1980,1980,1980,1980,1979,1979,1979,1979,1979,1979,1903,
1904,1905,1906,1907,1908,1909,1910,2020,2020,2021,2021,2034,
1987,2035,1987,1987,1987,1987,1987,1987,1987,1987,1987,1987,
1987,2022,2022,2022,2022,1990,1990,1993,1993,1937,2023,2023,
1997,1996,1996,2024,2024,1945,1946,2029,2029,2001,2001,2006,
2006,2006,2006,2006,2006,2035,2035,2035,2035,2015,2015,2015,
2015,2015,2015,2015,2015,2015,2015,2015,2015,2014,2014,2015,
2015,2008,2008,1979,1980,2027,2020,2038,2038,2020,2021,1987,
2022,2022,2022,2022,2022,2022,2023,2023,2024,2024,1998,2029,
2029,2001,2041,2041,2041,2041,2006,2035,2035,2035,2035,2034,
2034,2035,2035,2015,2036,2036,2037,2037,2038,2038,2022,2023,
2024,2025,2026,2027,2041,2041,2041,2041,2041,2041,2034,2035,
2036,2037,2038,2044,2044,2041,2047,2047,2044,2049,2049,2047,
2048,2049,2055,2055,2054,2054,2054,2055,2056,2057],[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,14,13,
14,15,1,1,1,9,10,8,9,1,1,4,4,4,4,4,4,1,21,1,1,1,1,
1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,1,2,2,1,7,7,6,7,7,6,6,6,1,
47,47,4,4,14,14,15,1,14,14,13,13,1,21,55,55,55,57,57,
58,9,9,8,10,4,4,34,35,20,20,4,20,2,1,1,4,14,69,1,2,2,
2,2,2,2,2,8,8,8,8,8,8,8,8,8,8,8,8,8,2,2,2,8,2,2,8,
8,8,2,2,8,8,8,8,8,8,8,8,8,6,6,7,7,6,6,6,6,7,7,6,6,
7,2,2,7,6,7,47,47,47,47,47,47,47,9,4,14,13,14,14,13,
21,70,9,9,76,77,55,55,55,55,55,57,57,9,8,10,55,150,149,
149,34,35,150,20,156,14,13,15,54,22,264,265,266,267,10,14,
69,69,1,2,2,8,8,23,23,23,23,5,27,27,8,8,8,8,27,8,23,
23,23,23,8,27,27,30,30,27,27,30,27,27,30,8,8,30,27,30,
6,6,27,27,8,8,27,6,27,27,7,7,47,124,124,47,47,124,124,
124,227,59,47,55,70,14,52,164,165,55,55,235,235,76,143,
143,143,145,238,239,238,55,23,77,70,149,150,156,157,14,156,
265,265,266,267,365,264,265,130,69,13,8,23,27,27,27,27,27,
27,84,84,93,30,30,84,84,81,81,93,93,23,94,72,70,221,221,
124,124,47,227,162,334,402,403,404,263,265,275,164,164,164,
165,337,337,337,337,338,338,238,238,76,143,235,281,239,156,
365,365,365,264,265,130,370,156,72,76,94,81,93,84,78,393,
236,235,221,264,400,400,162,334,402,403,452,453,454,406,265,
406,275,337,337,337,337,337,164,407,337,407,343,338,272,365,
370,370,370,289,393,393,393,445,400,400,482,452,452,452,452,
454,453,452,406,407,275,434,407,337,496,497,370,370,441,445,
400,503,504,470,452,452,452,452,452,493,458,496,497,432,516,
517,452,519,516,521,519,523,524,521,526,527,527,526,530,530,
532,533,1,1,1,1,1,1,1,1,1,1,1,1,4,1,4,1,4,1,2,2,2,
1,2,1,1,2,1,1,2,2,1,2,2,2,1,1,2,1,1,1,1,1,2,2,1,1,
2,2,1,2,1,3,3,1,2,1,1,2,2,1,2,1,1,1,1,13,1,14,1,15,
4,4,4,4,4,4,4,4,4,4,4,1,4,1,4,4,1,1,4,1,4,4,1,1,
21,1,1,2,2,2,1,2,1,2,2,2,2,1,2,2,1,2,2,1,2,2,2,1,
2,1,2,2,3,3,2,1,2,1,2,2,1,1,2,1,2,2,2,2,2,2,2,1,2,
1,2,2,2,2,2,1,2,2,2,1,2,1,2,2,2,2,2,2,1,1,2,2,2,2,
2,1,2,1,2,1,2,2,2,2,2,1,1,3,3,2,2,6,6,2,2,6,6,2,6,
2,6,6,6,2,2,2,2,2,6,6,2,2,6,6,6,6,2,2,6,2,2,6,2,2,
2,2,2,2,2,2,2,2,1,6,1,2,6,2,6,6,4,1,4,47,14,14,13,
13,14,14,15,15,13,1,14,14,1,1,54,9,9,55,55,9,55,56,56,
57,8,8,57,9,58,4,20,1,2,20,1,2,4,4,4,4,4,4,4,4,4,4,
20,4,20,4,20,4,20,20,4,4,20,4,20,2,1,21,69,4,1,14,1,
8,8,2,8,1,2,8,2,8,2,2,2,2,2,2,2,8,2,2,2,1,2,1,2,8,
2,2,2,2,3,2,6,8,6,2,8,2,8,1,8,6,2,2,8,1,6,2,2,8,2,
2,2,2,2,8,8,8,8,8,8,2,6,6,6,8,8,8,2,8,2,2,8,8,8,2,
8,8,8,8,2,8,8,2,6,8,2,8,8,8,8,2,8,8,8,8,8,8,8,2,8,
8,8,8,2,8,8,2,8,8,6,6,12,6,2,8,2,8,8,2,8,2,2,12,12,
12,12,7,2,7,2,6,2,8,6,6,8,6,8,2,2,8,8,6,6,12,6,2,6,
2,6,2,2,6,2,2,6,6,6,6,2,6,6,2,6,2,2,6,2,6,6,6,6,6,
8,2,8,8,8,8,2,8,2,8,8,8,8,2,8,8,2,8,8,8,8,8,8,2,8,
8,8,8,8,2,8,2,8,2,2,8,8,8,8,8,8,2,6,6,6,6,8,2,2,6,
6,5,8,6,6,6,2,8,2,6,5,6,3,3,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,4,1,47,47,47,47,47,47,47,47,4,4,47,47,4,
47,4,47,14,14,15,3,53,14,14,14,14,53,53,52,13,13,52,2,
21,21,55,55,55,55,55,55,55,55,55,55,55,57,57,57,57,58,9,
9,55,9,55,9,55,55,9,55,55,9,57,8,8,57,56,56,20,4,4,20,
35,150,150,35,20,20,20,20,4,20,20,20,2,20,13,157,69,4,
14,69,69,14,69,69,6,2,6,8,2,8,2,27,6,6,23,2,23,27,23,
27,23,2,24,24,22,22,6,6,24,24,8,8,2,7,2,8,8,8,23,8,8,
23,23,8,8,23,23,8,8,8,23,8,8,23,23,23,8,8,8,23,8,8,8,
8,8,8,30,27,8,27,8,27,27,8,27,8,30,8,8,8,27,8,27,27,
27,27,27,27,8,27,8,27,27,8,8,8,8,8,8,8,8,8,8,8,6,6,
2,8,2,8,2,8,6,6,8,2,8,12,6,6,12,27,8,8,27,7,8,8,2,
8,2,8,8,27,23,23,8,23,8,27,23,8,23,23,23,27,8,27,23,
23,23,8,8,8,6,8,8,6,2,6,5,5,12,12,6,8,27,27,27,24,27,
24,27,23,8,27,23,27,8,23,23,24,22,22,24,8,8,8,8,8,8,8,
8,8,8,8,8,6,27,27,6,27,6,27,6,6,27,6,27,27,27,6,6,27,
27,6,6,27,27,6,6,27,6,27,6,27,6,6,27,8,8,8,2,5,29,29,
6,32,32,6,6,32,32,47,47,47,47,124,47,47,124,47,124,47,
47,124,124,47,124,124,47,47,47,9,59,227,55,4,47,53,53,53,
53,14,14,52,13,21,235,70,70,235,55,143,23,9,23,143,9,55,
238,76,76,238,77,55,143,143,55,55,143,55,143,55,55,55,55,
55,55,55,55,145,57,145,57,23,55,9,143,57,22,56,55,55,143,
143,150,150,150,35,150,150,20,156,156,13,156,15,157,54,22,
264,264,265,265,265,265,267,267,56,268,69,14,69,69,69,69,
6,22,23,2,27,6,24,22,8,84,84,76,8,84,76,84,84,23,84,23,
84,23,23,84,23,84,23,84,84,23,23,84,29,72,84,27,78,84,
84,27,78,84,22,24,27,29,72,23,8,27,22,29,24,24,27,29,29,
22,27,8,27,27,8,27,27,27,23,84,84,23,23,23,84,84,23,84,
84,23,23,23,84,84,8,84,8,84,81,27,81,27,84,27,27,84,86,
86,86,86,78,84,27,27,84,27,27,93,93,94,27,8,23,23,8,27,
84,84,76,76,72,27,27,6,72,27,6,27,27,27,84,84,27,81,8,
23,8,23,30,8,30,8,84,84,78,78,27,27,72,6,27,27,74,32,
32,74,222,222,124,124,47,47,122,123,124,124,124,124,227,
227,59,227,124,47,55,227,334,70,53,135,164,337,164,337,164,
337,337,164,338,165,338,165,55,143,55,143,235,235,235,235,
238,238,76,76,143,143,143,143,143,143,145,238,238,238,238,
55,143,23,143,239,77,235,70,150,157,156,156,265,265,265,
265,267,264,264,265,265,268,268,69,157,8,84,93,76,84,23,
27,72,84,94,93,27,72,81,81,84,78,27,76,27,72,78,72,76,
81,84,72,84,78,93,84,84,84,84,74,86,86,74,84,84,84,84,
175,175,175,175,177,177,177,177,23,84,72,72,235,393,70,236,
222,220,221,124,222,122,227,400,162,334,334,402,402,404,263,
406,406,265,265,275,407,275,407,337,164,337,164,164,337,164,
337,337,337,164,164,165,338,337,337,337,337,337,337,337,337,
337,337,337,337,337,337,337,337,338,338,338,338,343,238,343,
238,238,161,143,235,281,353,156,264,265,268,370,370,370,156,
72,289,161,177,289,183,182,175,182,177,289,84,161,175,393,
393,393,393,236,393,235,393,325,445,264,400,400,400,400,162,
334,402,452,452,454,454,406,406,406,265,406,406,407,275,407,
275,337,337,337,337,337,337,337,337,337,337,337,164,407,407,
337,337,407,407,343,338,272,370,432,432,432,370,289,393,441,
393,441,441,393,445,445,400,400,482,452,452,454,452,452,452,
452,406,458,407,371,407,434,493,458,407,337,496,496,497,497,
432,370,441,445,448,503,504,470,452,452,489,489,489,489,493,
458,496,497,473,516,516,489,519,519,516,521,521,519,524,521,
526,526,527,527,527,526,532,533],[(1,86)(4,54)(5,30)(6,57)(8,44)(9,52)(11,14)(13,42)
(18,43)(19,85)(20,65)(22,91)(23,71)(24,87)(25,50)(26,78)
(27,88)(29,73)(31,76)(33,84)(34,72)(35,97)(36,53)(37,63)
(39,47)(40,99)(45,80)(55,81)(58,79)(62,83)(66,77)(67,98)
(68,100)(69,93)(74,89),(1,49,14,37,74)(2,16,52,96,44)
(3,99,38,18,61)(5,62,64,65,95)(6,8,40,85,58)
(7,68,80,9,39)(10,19,31,97,72)(11,77,93,84,98)
(12,46,86,78,42)(13,23,54,29,15)(17,82,69,34,30)
(21,28,56,88,89)(22,100,73,87,35)(24,79,67,59,32)
(25,43,27,66,75)(26,92,47,50,94)(33,36,57,70,81)
(41,83,55,91,51)(45,90,60,48,71)],0,[(5,9)(6,55)(7,46)(11,72)(12,51)(13,40)(14,34)(15,59)
(18,43)(19,77)(20,26)(21,56)(22,87)(23,80)(24,91)
(27,67)(29,68)(30,52)(31,97)(35,76)(38,75)(42,99)
(45,71)(57,81)(58,79)(60,70)(61,64)(62,83)(65,78)
(66,85)(69,74)(73,100)(82,96)(88,98)(89,93),
(4,14)(7,28)(8,99)(9,10)(11,45)(13,72)(17,74)
(20,54)(21,83)(23,24)(30,76)(32,89)(33,51)(35,82)
(36,43)(38,62)(40,71)(41,67)(44,87)(47,58)(49,100)
(52,96)(55,94)(56,75)(57,88)(59,95)(60,84)(61,81)
(63,85)(64,98)(65,80)(68,92)(77,86)(78,91)(90,97),
(4,16)(6,77)(7,31)(10,48)(11,67)(12,51)(15,65)
(18,56)(19,55)(20,61)(21,43)(22,74)(24,66)(25,47)
(26,64)(27,72)(29,71)(30,52)(32,54)(35,96)(36,84)
(37,49)(41,92)(42,99)(45,68)(46,97)(57,93)(59,78)
(60,83)(62,70)(63,95)(69,87)(76,82)(81,89)(85,91),
(4,16)(5,9)(6,19)(7,97)(10,48)(11,27)(13,40)
(14,34)(15,78)(18,21)(20,64)(22,69)(23,80)(24,85)
(25,47)(26,61)(29,45)(31,46)(32,54)(35,82)(36,84)
(37,49)(38,75)(41,92)(43,56)(55,77)(57,89)(58,79)
(59,65)(60,62)(63,95)(66,91)(67,72)(68,71)(70,83)
(73,100)(74,87)(76,96)(81,93)(88,98),
(4,23)(5,48)(6,22)(7,96)(9,10)(11,27)(12,51)
(13,41)(14,95)(15,85)(16,80)(17,44)(19,69)(20,81)
(24,78)(25,58)(26,89)(29,45)(31,82)(32,73)(33,53)
(34,63)(35,46)(36,38)(37,98)(40,92)(43,56)(47,79)
(49,88)(54,100)(55,74)(57,61)(59,91)(60,62)(64,93)
(65,66)(75,84)(76,97)(77,87)(86,94),
(4,24)(6,17)(7,97)(8,42)(9,48)(11,13)(14,85)
(16,59)(18,38)(19,44)(20,37)(21,36)(22,86)(23,63)
(27,92)(28,35)(29,41)(30,31)(32,88)(34,65)(40,45)
(43,60)(46,52)(47,79)(49,57)(51,53)(61,93)(64,73)
(66,78)(69,94)(70,75)(71,72)(82,90)(83,84)(89,100),
(4,32)(6,74)(7,35)(10,48)(11,72)(14,88)(15,26)
(16,54)(18,56)(19,87)(20,59)(21,43)(22,77)(23,100)
(24,89)(27,67)(29,68)(30,52)(31,96)(33,53)(34,98)
(37,95)(38,75)(39,50)(41,92)(42,99)(45,71)(46,76)
(49,63)(55,69)(57,85)(58,79)(60,83)(61,78)(62,70)
(64,65)(66,81)(73,80)(82,97)(91,93),
(4,32)(5,9)(6,69)(7,76)(10,48)(12,51)(13,40)
(14,98)(15,20)(16,54)(18,21)(19,22)(23,73)(24,93)
(26,59)(31,82)(33,53)(34,88)(35,46)(37,95)(39,50)
(41,92)(43,56)(49,63)(55,74)(57,66)(60,62)(61,65)
(64,78)(70,83)(77,87)(80,100)(81,85)(89,91)(96,97),
(4,34)(5,10)(6,94)(8,42)(11,40)(12,33)(13,45)
(15,95)(17,69)(18,36)(19,86)(21,38)(22,44)(23,78)
(24,65)(26,54)(27,41)(28,46)(29,92)(30,82)(31,90)
(32,93)(35,52)(47,79)(49,73)(56,62)(57,64)(61,88)
(63,66)(70,84)(71,72)(75,83)(76,96)(80,91)(81,98),
(4,37)(5,9)(6,19)(10,48)(11,29)(14,73)(15,61)
(16,49)(18,83)(20,65)(21,70)(22,69)(23,98)(24,89)
(25,47)(26,78)(27,45)(28,90)(30,52)(32,95)(34,100)
(39,50)(43,62)(54,63)(55,77)(56,60)(57,85)(58,79)
(59,64)(66,81)(67,71)(68,72)(74,87)(80,88)(91,93),
(4,49)(7,97)(11,45)(13,40)(14,100)(15,26)(16,37)
(18,70)(20,59)(21,83)(23,88)(24,57)(27,29)(28,90)
(30,52)(31,46)(32,63)(34,73)(35,82)(36,84)(38,75)
(39,50)(41,92)(43,60)(54,95)(56,62)(61,78)(64,65)
(66,93)(67,68)(71,72)(76,96)(80,98)(81,91)(85,89),
(4,54)(6,22)(7,96)(11,27)(12,51)(14,88)(15,64)
(16,32)(19,69)(20,78)(23,100)(24,81)(25,47)(26,65)
(29,45)(31,35)(33,53)(34,98)(36,84)(37,63)(38,75)
(39,50)(46,82)(49,95)(55,87)(57,91)(58,79)(59,61)
(66,89)(67,72)(68,71)(73,80)(74,77)(76,97)(85,93),
(4,54)(5,9)(6,87)(7,82)(11,67)(13,40)(14,98)
(15,61)(16,32)(18,43)(19,74)(20,65)(21,56)(22,55)
(23,73)(24,57)(25,47)(26,78)(27,72)(29,71)(30,52)
(31,76)(33,53)(34,88)(35,97)(36,84)(37,63)(39,50)
(42,99)(45,68)(46,96)(49,95)(59,64)(60,70)(62,83)
(66,93)(69,77)(80,100)(81,91)(85,89),
(4,57)(6,22)(11,29)(12,33)(13,41)(14,20)(15,98)
(16,89)(17,86)(19,69)(23,61)(24,49)(25,58)(26,80)
(27,45)(28,52)(30,90)(31,82)(32,66)(34,64)(35,46)
(37,85)(39,50)(40,92)(43,60)(44,94)(47,79)(51,53)
(54,91)(56,62)(59,100)(63,93)(65,73)(78,88)(81,95),
(4,59)(5,48)(6,22)(9,10)(11,29)(12,33)(14,24)
(15,63)(16,65)(17,94)(19,69)(20,49)(23,91)(25,47)
(26,32)(27,45)(28,52)(30,90)(31,35)(34,85)(36,75)
(37,64)(38,84)(43,62)(44,86)(46,82)(51,53)(54,61)
(55,77)(56,60)(57,100)(58,79)(66,80)(67,72)(68,71)
(73,89)(74,87)(78,95)(81,88)(93,98),
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88,34)(11,44,63,84,14,65,40,43)(12,39,97,49)
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(30,35)(33,43)(34,87)(37,73)(38,51)(40,67)(42,81)
(44,74)(50,58)(54,93)(56,70)(59,94)(60,75)(66,71)
(68,86)(80,85)(82,96)(92,95)(98,99),
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(7,23,93)(9,46,29)(10,63,32)(11,86,71)(12,21,79)
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(18,60,47)(20,72,95)(24,81,48)(27,65,89)(30,74,69)
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(42,88,78)(51,58,62)(57,94,91)(61,68,66)(64,80,99),
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(12,58)(13,63)(14,22)(15,41)(16,30)(17,35)(20,88)
(21,50)(24,48)(25,60)(26,89)(27,86)(28,72)(29,55)
(33,43)(34,96)(36,62)(38,51)(44,74)(45,46)(54,99)
(65,68)(66,71)(75,79)(80,90)(82,87)(92,97)(93,98),
(1,100)(2,3)(4,6)(5,38)(7,60)(8,98)(9,53)
(10,21)(12,46)(13,86)(15,72)(16,77)(17,23)(18,96)
(19,45)(20,37)(24,41)(27,65)(28,33)(29,63)(30,70)
(31,83)(34,94)(35,56)(36,76)(42,81)(43,48)(49,61)
(50,58)(51,97)(52,62)(55,68)(59,87)(66,92)(69,78)
(71,95)(73,88)(75,90)(82,84)(89,99),
(1,100,57,64,85)(2,4,96,42,34)(3,87,6,60,98)
(5,58,10,66,82)(7,8,37,59,76)(9,63,16,30,68)
(11,40,39,97,51)(12,19,80,17,54)(13,65,69,91,49)
(14,22,48,67,15)(18,20,36,94,81)(21,77,70,50,53)
(23,73,41,24,52)(25,93,99,74,90)(26,27,86,79,56)
(28,78,35,61,33)(29,38,84,92,55)(31,32,83,89,75)
(43,72,95,44,71)(45,46,62,47,88),
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(10,43)(11,39)(12,28)(13,24)(14,30)(15,68)(16,22)
(17,35)(18,31)(19,33)(20,75)(21,50)(23,91)(25,98)
(26,62)(27,46)(29,55)(32,81)(34,96)(36,89)(37,76)
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(36,89,48,63)(38,92,97,51)(40,53)(45,86)(52,56,73,91)
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(50,55,70)(52,80,62)(54,73,88)(67,95,71)(69,78,79)
(89,93,99),(1,100,87,74)(2,14,16,37)(3,89)
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(8,72,11,63)(9,67,97,51)(10,15)(12,86,88,91)
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(26,41,65,62)(32,81,92,38)(34,96,44,82)(35,52)(36,90)
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38,34)(23,26,62,91,73,78,54,69)(25,48,40,63,98,36,
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(3,85,62,5,40,9,43,57)(4,75,37,89,71,53,67,24)
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(12,86)(13,21,96,70)(14,90,51,28,73,91,36,93)
(15,25,22,99,69,47,61,92)(17,59,32,72,46,68,95,64)
(20,29,39,58,49,87,83,56)(23,78,52,82,30,26,98,94)
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(12,38)(13,58)(15,48)(16,49)(18,23)(19,50)(20,84)
(21,92)(22,44)(24,29)(25,85)(27,66)(30,37)(31,93)
(32,75)(33,65)(34,35)(39,67)(41,46)(42,79)(43,71)
(45,55)(47,98)(51,95)(57,83)(59,61)(64,90)(68,86)
(69,76)(72,97)(73,87)(77,88)(80,81),
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(5,55,37,94)(6,32,64,76)(7,81)(8,48,95,98)
(9,43,71,53)(12,65)(13,21,96,70)(14,23,99,34)
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(29,58,87,56)(33,39,38,83)(41,66)(42,80)(50,86)
(59,92,63,73)(60,79)(62,90,75,69),
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(5,46,61,82)(7,81)(8,48,97,54)(9,53,15,51)
(10,40,63,99)(12,65,84,16)(13,21)(14,30,89,59)
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(8,54)(9,53)(10,55)(12,86)(13,21)(14,22)(15,51)
(16,18)(17,59)(19,27)(20,49)(23,82)(25,90)(26,98)
(28,92)(29,58)(30,94)(32,64)(33,38)(34,77)(35,84)
(36,69)(40,67)(41,66)(42,81)(43,71)(45,63)(46,68)
(47,91)(48,97)(50,65)(52,78)(56,87)(57,89)(60,79)
(61,73)(70,96)(72,95)(75,85)(93,99),
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(8,99,20)(9,38,71)(10,21,14)(12,46,47)(13,86,91)
(15,16,29)(17,41,19)(18,59,31)(22,68,55)(23,45,24)
(25,36,76)(26,49,61)(27,28,56)(30,50,43)(32,81,42)
(33,65,35)(34,74,94)(37,89,98)(40,97,51)(44,82,84)
(48,58,70)(52,62,80)(63,77,72)(66,92,67)(83,87,96)],
[[],[244],[1177],[370],[634],[1508],[1555],
[1704,1506],[1261,1651],[1026,1641],[1427,460],
[607,1868],[1316],[2135],[744],[1514,1332],
[1786,476],[1044,1049],[641],[674],[1068],
[778,1915,1831],[1261,1651,1110],[1855,638,1059],
[1233,1955,1796],[914,1663,554],[472,1051],
[208,2103],[972,1812],[630,1272],[1427,2025],
[1198,855],[1233,1518],[1699,585],[805,1804],
[1057,494],[1261,1319],[1233,1369],[1427,1025],
[850,1990],[244,1285],[1201,139],[1897,2123],
[1878,144],[1763],[1047],[1895,2119],[774,466],
[1780,1318],[1177,1427],[439,592],[1579],[985],
[1695],[1658,1667],[1233,737],[1852,1285],
[607,1755],[1980,1867],[144,1158],[1674,1039],
[1786,465],[1780,1698],[1674,1865],[914,1049],
[1548,669],[727],[1786,478],[587],
[429,312,702,2103],[1864,1855,638,1059],[1261,911,889],
[1547,764,1048],[554,1998,1065],[1233,1955,1518],
[1764,983],[1815,950],[652,662],[1508,833],
[2018,1921],[1261,1560,1321],[1704,778,1506],
[2015,1203,1336],[1261,1651,1647],[914,1663,990],
[1704,1506,833],[1338,41,1342],[1971,1518,1369],
[1897,1101,569],[1661,1261,1319],[1026,1641,139],
[914,1261,554],[480,868,844],[1324,904,1325],
[1939,866,1398],[948,1920,1091],[244,1285,1966],
[2099,208,312],[1233,1647,1518],[652,1690,863],
[1201,1719,139],[1233,1518,1369],[1195,1500],
[1185,2099],[1897,1365],[1973,2074],[1205,1990],
[1939,1182],[473,1692],[2018,656],[878,896],
[1803,781],[917,1635],[1786,781],[1786,403],
[1046,1183],[482,1892],[628,1719],[473,1696],
[1666,1973],[2006,1654],[1414,677],[370,1869,638],
[1697,482,145],[370,2110],[1786,1845],[1355,1423],
[757,669],[1810,403],[2109,547],[323,1865],
[2029,547],[1786,741],[1220,2016],[1495],[1078,931],
[1177,1557],[1058,638],[750,1105],[2032,1295],
[489,1973],[572,1667],[914,1306],[1479,466],
[513,1903],[1496,1252],[1496,1670,1971],
[1786,1105,465],[1341,1157],[1935,1125],[1697,924],
[1865,1872],[819,2124],[1697,727],[1697,2062],
[1863,1351],[2130,661],[898,587],[2046,1605],
[1336,1412],[652,662,1966],[1736,1838,44,771],
[301,1773,181,1975],[1261,1651,1200,1647],
[1026,1659,1641,139],[1971,1233,1518,1369],
[1261,1651,1560,1110],[914,1663,554,990],
[244,2038,1285],[914,554,1110],[1201,1670,139],
[1261,1776,895],[1130,1973,2074],[1201,1026,139],
[1244,2090,1970],[244,1286,1285],[1244,2090,1907],
[2011,1907,908],[551,918,1445],[302,1265,975],
[1663,1324,904],[1201,1719,1319,139],
[1244,2090,594,2037],[1971,1233,1955,1518],
[652,1678,1966],[652,1522,863],[652,977,1466],
[208,702],[1700,1237],[1704,1747],[244,2097,1857],
[930,1478,139],[1577,1595],[818,729],[1859,2079],
[554,1595],[1047,702],[2037,1553],[1704,778,1071],
[972,429,1812],[1502,1205,1990],[1261,1647,1283],
[1690,1876,863],[1998,1064],[554,1553],[1088,1375],
[1047,312],[2011,1149],[1244,855],[1026,1478,139],
[1819,1998,126],[1704,778,828],[2099,1758,1098],
[2014,1045,1738],[1700,942,1070],[719,1970],
[1663,1233,1955],[2018,247,1913],[639,690,1251],
[1779,702,2033],[1826,465],[1897,2059],[1261,1350],
[1897,1715],[663,832],[1440,638],[1658,1542],
[526,1766],[1492,2109,1302],[801,1457],[1644,547],
[1811,653],[1177,1613],[1786,1293],[1897,1992,1370],
[728,467],[678,702],[855,1446],[893,1778],
[700,2061],[855,1306],[972,877],[634,1317],
[855,1139],[2099,472],[1888,1528],[1570,586],
[1256,2037],[941,1270],[728,472],[812,840],
[1539,2014],[1629,145],[1786,274],[1040,1600],
[1657,577],[1697,2062,278],[2014,2048,1676],
[1878,1008],[970,1299],[957,933],[1960,1525],
[1948,312],[551,905],[1871,841],[1700,903],
[1631,1989],[1031,1501],[1191,158],[898,1605],
[819,1281],[855,2011,1940],[1261,1651,1200,1647,603],
[1971,1233,1647,1955,1518],[1897,915,1184,1889],
[1080,850,1990,990],[1338,700,1342],[932,1570,1978],
[1700,1237,247],[1897,1700,1070],[2013,1063],
[1547,1187],[1198,1292],[1146,658,1825],
[1700,920,1155],[2037,1064,1554],[855,718,1577],
[640,1961],[1244,2090,1970,2037],[1897,1981],
[1047,208],[914,1445],[685,502],[765,1547,2145,1048],
[554,1970,1200],[1047,312,702],[554,1998,1064],
[2090,2037,648],[1198,1684],[1237,1070],
[554,1064,1554],[1261,1419,1595],[554,1200,1419],
[639,848,1251],[1700,942,1070,577],[1704,778,1507],
[676,738],[1156,146],[936,2012],[1700,247,1966],
[855,719,2011],[1261,1200,1063],[554,1419,1595],
[244,2038,1285,1966],[1244,2037,1259,602],[1261,1349],
[1700,247,2043,1507],[855,1200,1063],[1939,866,1178],
[1670,613,1321,1659],[554,1554,1065],[872,466],
[1309,800],[1986,1340],[819,1779],[654,1870],
[953,1127],[971,1765],[1798,764],[928,1693,924],
[563,1780],[1980,1411,2099],[1786,2143],[897,1890],
[1644,1750,1302],[1367,945],[1935,1125,312],
[2040,2132,2037],[972,877,1812],[972,526,1812],
[2068,1458],[1742,1992],[1578,1446],[1187,1278],
[489,472],[489,1801],[1897,1528],[1198,2134],
[1860,1353],[2084,1432],[472,1801],[914,1497],
[1239,921],[1897,1551],[403,1924],[1572,1748],
[762,1397],[825,933],[1590,1716],[1674,668],
[506,1202],[1093,466],[439,1003],[862,1435],
[1694,664],[606,551],[1977,1279],[1436,1031],
[1191,736],[1054,933],[1244,594,1908,1970,2037],
[1261,1651,1357,1200],[1261,855,1200,1115],
[1261,855,1419,1595],[1237,942,1070],[1261,1503,1940],
[1970,2011,1553],[1261,1375,1957],[671,1916,242],
[1047,208,312],[1244,1998,1970],[554,2090,1998,648],
[1198,554,1595],[1237,247,1070],[914,1200,1445],
[1198,2024],[562,1859],[1261,1560,1595],
[914,1261,1603],[685,2090,2037],[1570,640],
[1906,1939,612],[1806,1917],[1910,2072],[1674,1944],
[654,1415,1870],[820,1183,1186],[1559,1230],
[610,144],[1315,810],[1700,578],[1570,1043],
[1631,843],[1293,1079],[1563,2027],[506,2051],
[1897,1991,915],[1261,766],[1700,1273],
[2040,1261,887],[2146,1256,1998],[1897,1365,44],
[606,1198],[599,1209],[606,1311],[2151,1861],
[1897,915,608],[1906,1106],[1897,920],[887,941],
[914,1503,796],[1562,191],[940,1909],[691,2149],
[970,761],[1177,1316],[439,802],[1786,1175],
[606,1591],[1697,1279],[1644,1031],[774,262,466],
[1589,1716],[1261,1998,2011,1200],[914,1261,1349],
[1261,1375,1200],[1491,1204,2079],[914,1261,1998,1595],
[914,554,1200,1110],[562,861],[489,1450,184],
[1276,1965],[728,1389],[1314,1108,1536],[716,1326],
[1228,554],[1315,1393],[1261,1571],[1700,1988],
[1183,1096],[439,2092],[489,1498],[957,1298],
[1338,1683],[184,2051],[506,820],[1194,2051],
[1897,1991,657],[914,997],[2067,2096],[1597,526],
[1201,1290],[914,1661,1261],[914,1261,766],
[1143,2005],[890,1312],[510,1860],[1906,1109],
[1661,1244,1088],[1081,566],[1661,1573],
[762,1397,1105],[1556,1105],[1697,1189],
[914,1684,1200],[489,619],[184,1801],[489,506,2099],
[777,1356],[1228,1687],[1986,1571],[529,1525],
[631,711],[1786,1413],[1459,489,1498],[1344,1926],
[1249,1002],[829,784],[184,584],[1194,820],
[639,1859],[1897,683],[1261,606,940],[1897,2005,942],
[1953,1377,582],[862,1338],[1338,1531,671],
[1697,1675],[1584,1556],[1276,1143],[660,1644],
[537,1571],[1363,639],[1682,969],[2126,956],
[1771,1135],[1808,1224],[1993,584],[546,1793],
[1856,2140,2117],[1897,586,1570],[683,1570],
[1679,1277],[1174,244,1338],[1189,1675],[1459,831],
[1944,1465],[709,1429,1717],[1315,811],[1459,1142],
[1897,1852,1700],[1304,914],[958,1897],[1714,1897],
[922,1897],[1066,1984],[1459,1438,725],[1459,1545],
[1304,607],[914,1739],[1459,650],[1729,1153],
[1459,1837],[420],[1513],[244,430],[244,29],
[244,328],[244,283],[244,1844],[244,1839],
[1177,1169],[1177,272],[1177,1951],[1177,1053],
[370,9],[370,417],[370,376],[370,2102],[370,2113],
[370,2093],[634,572,1038],[634,572,1524],
[634,572,1041],[634,572,1036],[1508,1339,8],
[1508,1339,629],[1508,1339,1784],[1508,1339,1019],
[1508,1339,1320],[1508,1339,1730],[1508,1339,1121],
[1508,1339,1424],[1508,1339,1254],[1508,1339,1550],
[1508,1339,1123],[1555,199,16],[1555,199,1171],
[1555,199,1160],[1555,199,1159],[1506,1704,40],
[1506,1704,101],[1506,1704,1168],[1506,1704,1623],
[1506,1704,1294],[1506,1704,8],[1506,1704,1166],
[1506,1704,680],[1651,1261,85],[1651,1261,1331],
[1651,1261,42],[1651,1261,1327],[1651,1261,787],
[1651,1261,1469],[1641,1026,10],[1641,1026,176],
[460,1427,23],[460,1427,110],[460,1427,355],
[460,1427,1583],[460,1427,1582],[460,1427,1580],
[1868,607,143],[1868,607,481],[1868,607,1461],
[1868,607,755],[1868,607,697],[1868,607,1487],
[1316,458],[2135,286],[2135,162],[744,621],
[744,623],[1332,1514,371],[1332,1514,2066],
[1332,1514,171],[1786,1100,723],[1786,1100,71],
[1786,1100,277],[1786,1100,279],[214,1044,177],
[214,1044,1073],[214,1044,174],[214,1044,1075],
[641,1640,116],[641,1640,42],[641,1640,85],
[641,1640,70],[75,1042,1],[75,1042,1929],
[75,1042,1830],[75,1042,1886],[75,1042,3],
[75,1042,1930],[75,1042,1144],[75,1042,2019],
[1068,679],[1068,783],[1831,1915,778,1124],
[1831,1915,778,228],[1831,1915,778,27],
[1831,1915,778,763],[1110,1651,1261,42],
[1110,1651,1261,293],[1110,1651,1261,1443],
[1110,1651,1261,1703],[1110,1651,1261,558],
[1110,1651,1261,314],[1110,1651,1261,1713],
[1110,1651,1261,1464],[1110,1651,1261,556],
[1110,1651,1261,1337],[1110,1651,1261,935],
[1110,1651,1261,1193],[1059,638,1855,1400],
[1059,638,1855,42],[1059,638,1855,371],
[1059,638,1855,799],[1059,638,1855,2136],
[1059,638,1855,1622],[1059,638,1855,1624],
[1059,638,1855,1454],[1059,638,1855,2160],
[1059,638,1855,1310],[1059,638,1855,817],
[1796,1955,1233,82],[1796,1955,1233,1483],
[554,1663,914,115],[554,1663,914,85],
[554,1663,914,121],[554,1663,914,42],
[1051,472,721,193],[1051,472,721,354],
[1051,472,721,1947],[1051,472,721,590],
[1051,472,721,806],[1051,472,721,624],
[1051,472,721,1494],[1051,472,721,1362],
[1051,472,721,1449],[1051,472,721,2141],
[1051,472,721,1938],[1051,472,721,2111],
[2103,208,169,10],[2103,208,169,909],
[2103,208,169,1126],[2103,208,169,435],
[2103,208,169,138],[2103,208,169,666],
[2103,208,169,659],[2103,208,169,916],
[2103,208,169,2064],[2103,208,169,2100],
[2103,208,169,2091],[1812,972,1653,468],
[1812,972,1653,55],[1812,972,1653,1217],
[1812,972,1653,216],[1812,972,1653,1934],
[1812,972,1653,1234],[1812,972,1653,1516],
[1812,972,1653,2098],[1812,972,1653,1221],
[1812,972,1653,204],[1272,630,19,309],
[1272,630,19,1849],[1272,630,19,310],
[1272,630,19,314],[1272,630,19,1848],
[1272,630,19,588],[1272,630,19,316],
[1272,630,19,1853],[2025,1862,1427,528],
[2025,1862,1427,9],[2025,1862,1427,1896],
[2025,1862,1427,479],[855,1198,2037,1660],
[855,1198,2037,601],[855,1198,2037,1235],
[855,1198,2037,1655],[855,1198,2037,42],
[855,1198,2037,951],[855,1198,2037,633],
[855,1198,2037,713],[1518,1664,1233,497],
[1518,1664,1233,1952],[1804,805,2108,393],
[1804,805,2108,389],[1804,805,2108,1264],
[1804,805,2108,1866],[1804,805,2108,1037],
[1804,805,2108,1029],[494,1057,695,352],
[494,1057,695,1533],[494,1057,695,803],
[494,1057,695,947],[494,1057,695,1147],
[494,1057,695,798],[494,1057,695,876],
[494,1057,695,644],[1319,1200,1261,369],
[1319,1200,1261,20],[1319,1200,1261,360],
[1025,460,1427,356],[1025,460,1427,355],
[1990,1558,850,508],[1990,1558,850,20],
[1990,1558,850,593],[1990,1558,850,647],
[1990,1558,850,960],[1990,1558,850,553],
[1990,1558,850,2085],[1990,1558,850,1136],
[1285,1833,244,82],[1285,1833,244,29],
[1285,1833,244,1140],[1285,1833,244,1523],
[1285,1833,244,993],[1285,1833,244,767],
[1285,1833,244,1851],[1285,1833,244,2004],
[139,1201,1659,366],[139,1201,1659,1016],
[2123,1240,1897,1834],[2123,1240,1897,564],
[2123,1240,1897,1836],[2123,1240,1897,224],
[144,344,1878,629],[144,344,1878,614],
[1047,726,2103,665],[1047,726,2103,389],
[1047,726,2103,427],[1047,726,2103,1352],
[1047,726,2103,2157],[1047,726,2103,515],
[1047,726,2103,667],[1047,726,2103,779],[2119,1895,2],
[2119,1895,1725],[2119,1895,415],[2119,1895,1726],
[412,1847,1219],[412,1847,788],[1780,1318,926],
[1780,1318,1232],[1177,758,925],[1177,758,1896],
[439,591,637],[439,591,1740],[1579,946,1152],
[1579,946,1485],[985,1564,2050],[985,1564,743],
[985,1564,753],[985,1564,775],[1695,117],
[1658,201,398,395],[1658,201,398,865],
[1658,201,398,1900],[1658,201,398,394],
[1658,201,398,459],[1658,201,398,1911],
[737,1594,1233,82],[737,1594,1233,405],
[1852,1285,81,823],[1852,1285,81,273],
[1852,1285,81,1301],[1852,1285,81,1858],
[1755,4,607,486],[1755,4,607,488],[390,1434,1980,204],
[390,1434,1980,1282],[390,1434,1980,2102],
[390,1434,1980,441],[1158,1841,144,1307],
[1158,1841,144,1606],[1158,1841,144,1884],
[1158,1841,144,1154],[1039,1674,1215,431],
[1039,1674,1215,438],[278,1786,1100,71],
[278,1786,1100,47],[1698,1780,1712,457],
[1698,1780,1712,1346],[1698,1780,1712,456],
[1698,1780,1712,954],[109,1674,900,220],
[109,1674,900,42],[109,1674,900,1486],
[109,1674,900,1482],[214,914,2153,174],
[214,914,2153,1248],[214,914,2153,740],
[214,914,2153,1732],[1548,1637,68,1731],
[1548,1637,68,821],[1548,1637,68,853],
[1548,1637,68,1546],[727,203,1218,26],
[727,203,1218,1408],[727,203,1218,212],
[727,203,1218,1422],[1786,496,1452],[587,694,280],
[587,694,193],[587,694,2102],[587,694,2107],
[2087,702,312,429,717],[2087,702,312,429,218],
[2087,702,312,429,2095],[2087,702,312,429,441],
[1059,638,251,1864,98],[1059,638,251,1864,371],
[1059,638,251,1864,42],[1059,638,251,1864,374],
[1059,638,251,1864,325],[1059,638,251,1864,329],
[889,911,1664,1261,406],[889,911,1664,1261,20],
[889,911,1664,1261,138],[889,911,1664,1261,1794],
[889,911,1664,1261,759],[889,911,1664,1261,1809],
[1048,764,1547,1633,14],[1048,764,1547,1633,475],
[1048,764,1547,1633,118],[1048,764,1547,1633,205],
[1048,764,1547,1633,474],[1048,764,1547,1633,681],
[1065,1664,1998,554,501],[1065,1664,1998,554,42],
[1065,1664,1998,554,2133],[1065,1664,1998,554,835],
[1065,1664,1998,554,85],[1065,1664,1998,554,1420],
[1065,1664,1998,554,962],[1065,1664,1998,554,1113],
[1518,1664,1955,1233,82],[983,1902,1764,1368,720],
[983,1902,1764,1368,36],[983,1902,1764,1368,708],
[983,1902,1764,1368,706],[983,1902,1764,1368,1223],
[983,1902,1764,1368,874],[950,387,1815,1994,90],
[950,387,1815,1994,286],[662,2008,652,1922,2031],
[662,2008,652,1922,509],[662,2008,652,1922,82],
[662,2008,652,1922,2042],[662,2008,652,1922,241],
[662,2008,652,1922,2039],[662,2008,652,1922,748],
[662,2008,652,1922,1296],[833,1165,1508,1339,27],
[833,1165,1508,1339,8],[833,1165,1508,1339,1122],
[833,1165,1508,1339,1425],[1921,2009,2018,75,3],
[1921,2009,2018,75,1875],[1921,2009,2018,75,1914],
[1921,2009,2018,75,543],[1921,2009,2018,75,1999],
[1921,2009,2018,75,670],[1921,2009,2018,75,1918],
[1921,2009,2018,75,542],[1321,1997,1560,1261,20],
[1321,1997,1560,1261,85],[1321,1997,1560,1261,1469],
[1321,1997,1560,1261,571],[1321,1997,1560,1261,375],
[1321,1997,1560,1261,1474],[1321,1997,1560,1261,1471],
[1321,1997,1560,1261,1782],[1506,778,1745,1704,8],
[1506,778,1745,1704,27],[1506,778,1745,1704,816],
[1506,778,1745,1704,40],[1506,778,1745,1704,228],
[1506,778,1745,1704,490],[1506,778,1745,1704,814],
[1506,778,1745,1704,752],[1336,1203,1532,2015,69],
[1336,1203,1532,2015,745],[1336,1203,1532,2015,1266],
[1336,1203,1532,2015,1893],[139,1651,1196,1261,836],
[139,1651,1196,1261,20],[139,1651,1196,1261,839],
[139,1651,1196,1261,441],[139,1651,1196,1261,85],
[139,1651,1196,1261,730],[139,1651,1196,1261,555],
[139,1651,1196,1261,1707],[139,1651,1196,1261,1442],
[139,1651,1196,1261,1441],[139,1651,1196,1261,552],
[990,132,2035,914,854],[990,132,2035,914,1359],
[990,132,2035,914,859],[990,132,2035,914,1329],
[833,1506,1807,1704,27],[833,1506,1807,1704,8],
[833,1506,1807,1704,40],[833,1506,1807,1704,1275],
[833,1506,1807,1704,1122],[833,1506,1807,1704,1785],
[833,1506,1807,1704,632],[833,1506,1807,1704,1253],
[236,24,38,1338,463],[236,24,38,1338,1927],
[236,24,38,1338,27],[236,24,38,1338,462],
[236,24,38,1338,1931],[236,24,38,1338,1928],
[236,24,38,1338,22],[236,24,38,1338,1932],
[1369,1518,504,1971,530],[1369,1518,504,1971,110],
[1369,1518,504,1971,1636],[1369,1518,504,1971,1650],
[569,1101,1874,1897,332],[569,1101,1874,1897,1612],
[569,1101,1874,1897,334],[569,1101,1874,1897,330],
[569,1101,1874,1897,622],[569,1101,1874,1897,808],
[569,1101,1874,1897,333],[569,1101,1874,1897,2127],
[1319,1261,126,1661,364],[139,1641,1720,1026,10],
[139,1641,1720,1026,881],[139,1641,1720,1026,87],
[139,1641,1720,1026,1477],[554,1261,1663,914,511],
[554,1261,1663,914,85],[554,1261,1663,914,2118],
[554,1261,1663,914,42],[844,868,480,2045,557],
[844,868,480,2045,155],[844,868,480,2045,1510],
[844,868,480,2045,1511],[844,868,480,2045,147],
[844,868,480,2045,1933],[109,904,1324,1656,369],
[109,904,1324,1656,124],[109,904,1324,1656,20],
[109,904,1324,1656,1453],[109,904,1324,1656,413],
[109,904,1324,1656,1460],[1398,866,1939,1702,523],
[1398,866,1939,1702,190],[1398,866,1939,1702,618],
[1398,866,1939,1702,611],[1962,1285,1833,244,29],
[1962,1285,1833,244,651],[1962,1285,1833,244,1851],
[312,208,169,2099,2063],[312,208,169,2099,138],
[312,208,169,2099,10],[312,208,169,2099,2076],
[312,208,169,2099,258],[312,208,169,2099,257],
[312,208,169,2099,2073],[312,208,169,2099,2075],
[863,1690,652,1922,22],[863,1690,652,1922,507],
[863,1690,652,1922,2137],[863,1690,652,1922,979],
[139,1719,1201,1659,413],[139,1719,1201,1659,362],
[139,1719,1201,1659,411],[139,1719,1201,1659,369],
[139,1719,1201,1659,1173],[139,1719,1201,1659,1585],
[139,1719,1201,1659,1172],[139,1719,1201,1659,1586],
[1369,1518,1394,1233,530],[1369,1518,1394,1233,505],
[1369,1518,1394,1233,110],[1369,1518,1394,1233,1313],
[1500,1599,1195,813,315],[1500,1599,1195,813,216],
[1500,1599,1195,813,1530],[1500,1599,1195,813,284],
[1500,1599,1195,813,1987],[1500,1599,1195,813,256],
[1500,1599,1195,813,1133],[1500,1599,1195,813,1630],
[2099,1180,1185,372,10],[2099,1180,1185,372,14],
[2099,1180,1185,372,1783],[2099,1180,1185,372,2081],
[2099,1180,1185,372,1791],[2099,1180,1185,372,1802],
[2099,1180,1185,372,1790],[2099,1180,1185,372,138],
[1365,1976,2138,1897,517],[1365,1976,2138,1897,332],
[1365,1976,2138,1897,520],[1365,1976,2138,1897,560],
[1365,1976,2138,1897,334],[1365,1976,2138,1897,330],
[1365,1976,2138,1897,561],[1365,1976,2138,1897,333],
[292,373,1973,2065,134],[292,373,1973,2065,2154],
[292,373,1973,2065,179],[292,373,1973,2065,2162],
[292,373,1973,2065,157],[292,373,1973,2065,2157],
[292,373,1973,2065,399],[292,373,1973,2065,2158],
[1990,1269,1205,1651,627],[1990,1269,1205,1651,85],
[1990,1269,1205,1651,2091],[1990,1269,1205,1651,2083],
[1990,1269,1205,1651,441],[1990,1269,1205,1651,448],
[1990,1269,1205,1651,626],[1990,1269,1205,1651,110],
[1692,473,978,1263,570],[1692,473,978,1263,8],
[1692,473,978,1263,1734],[1692,473,978,1263,1668],
[1692,473,978,1263,1576],[1692,473,978,1263,147],
[1692,473,978,1263,1912],[1692,473,978,1263,1192],
[656,2000,2018,75,3],[656,2000,2018,75,2022],
[656,2000,2018,75,1999],[656,2000,2018,75,2028],
[373,878,1973,2065,291],[373,878,1973,2065,179],
[373,878,1973,2065,689],[373,878,1973,2065,198],
[373,878,1973,2065,1983],[373,878,1973,2065,275],
[373,878,1973,2065,1985],[373,878,1973,2065,980],
[781,1803,1894,278,1608],[1635,917,625,1664,450],
[1635,917,625,1664,10],[1635,917,625,1664,135],
[1635,917,625,1664,445],[1183,1046,712,1800,470],
[1183,1046,712,1800,263],[1183,1046,712,1800,89],
[1183,1046,712,1800,1011],[1696,473,978,1263,8],
[1696,473,978,1263,1668],[1696,473,978,1263,147],
[1696,473,978,1263,1192],[1973,1666,696,2065,157],
[1973,1666,696,2065,541],[1973,1666,696,2065,393],
[1973,1666,696,2065,1767],[1654,1167,2006,1919,79],
[1654,1167,2006,1919,237],[1654,1167,2006,1919,50],
[1654,1167,2006,1919,240],[677,1904,1414,320],
[677,1904,1414,204],[677,1904,1414,326],
[638,1869,370,994],[638,1869,370,923],
[638,1869,370,2104],[145,1689,791,25],
[145,1689,791,377],[145,1689,791,11],
[145,1689,791,379],[2086,195,370,1849],
[2086,195,370,389],[2086,195,370,1850],
[2086,195,370,314],[1845,1786,1009,271],
[1845,1786,1009,268],[1845,1786,1009,296],
[1845,1786,1009,281],[1355,425,1625,1052],
[669,68,757,1725],[385,403,1824,288],
[547,2109,735,183],[547,2109,735,411],
[1865,323,1426,545],[1865,323,1426,1129],
[1865,323,1426,645],[1865,323,1426,1056],
[547,2029,735,411],[547,2029,735,431],
[741,1786,1451,1181],[741,1786,1451,539],
[1220,1229,1105,1334],[1495,2057,1601,182],
[1495,2057,1601,2147],[1078,949,1241],[1078,949,392],
[1177,2121,822,1216,12],[1177,2121,822,1216,252],
[1177,2121,822,1216,253],[638,1058,461,1212,98],
[638,1058,461,1212,320],[638,1058,461,1212,371],
[638,1058,461,1212,204],[754,750,199,67,359],
[754,750,199,67,705],[754,750,199,67,351],
[754,750,199,67,707],[1295,2032,65,78,1102],
[1295,2032,65,78,8],[489,2125,1120,2106,393],
[489,2125,1120,2106,389],[129,790,469,1512,1032],
[1421,1663,122,914,138],[1421,1663,122,914,852],
[1421,1663,122,914,80],[1421,1663,122,914,82],
[1421,1663,122,914,1795],[1421,1663,122,914,1561],
[1421,1663,122,914,61],[1421,1663,122,914,1797],
[1479,440,466,2047,42],[1479,440,466,2047,1526],
[1479,440,466,2047,36],[1479,440,466,2047,1527],
[513,692,2065,2106,389],[513,692,2065,2106,1757],
[513,692,2065,2106,393],[513,692,2065,2106,1768],
[1252,1371,1034,1496,574],[1252,1371,1034,1496,10],
[361,1670,1496,1385,261],[361,1670,1496,1385,94],
[67,276,1786,1100,47],[67,276,1786,1100,1456],
[437,1131,804,2103,427],[437,1131,804,2103,772],
[437,1131,804,2103,1963],[437,1131,804,2103,1028],
[1854,432,1697,404,549],[1854,432,1697,404,6],
[365,109,1865,1615,21],[365,109,1865,1615,366],
[2124,819,1769,2033,171],[2124,819,1769,2033,325],
[727,433,211,1691,26],[727,433,211,1691,1408],
[2062,1387,966,1697,457],[2062,1387,966,1697,298],
[661,2130,396],[661,2130,349],[898,1772,525,280],
[898,1772,525,193],[1772,387,525,1089],
[1772,387,525,193],[1772,387,525,1746],
[1772,387,525,1007],[1336,207,2156,134],
[1336,207,2156,107],[1966,662,2008,652,1922,22],
[1966,662,2008,652,1922,224],
[1966,662,2008,652,1922,492],
[1966,662,2008,652,1922,235],
[1966,662,2008,652,1922,1727],
[1966,662,2008,652,1922,1634],[771,44,1838,1055,1736,17]
,[771,44,1838,1055,1736,322],
[1975,181,1773,301,304,160],[1975,181,1773,301,304,40],
[139,88,1651,1196,1261,600],[139,88,1651,1196,1261,20],
[139,88,1651,1196,1261,360],[139,88,1651,1196,1261,834],
[139,88,1651,1196,1261,1420],[139,88,1651,1196,1261,859]
,[139,88,1651,1196,1261,1473],
[139,88,1651,1196,1261,1013],[139,1641,88,1720,1026,10],
[139,1641,88,1720,1026,886],[139,1641,88,1720,1026,883],
[139,1641,88,1720,1026,20],[1369,1518,1233,504,1971,531]
,[1369,1518,1233,504,1971,110],
[1369,1518,1233,504,1971,360],
[1369,1518,1233,504,1971,1001],
[1110,857,1560,1651,1261,360],
[1110,857,1560,1651,1261,20],
[1110,857,1560,1651,1261,85],[990,554,132,2035,914,1380]
,[990,554,132,2035,914,42],
[990,554,132,2035,914,1197],[990,554,132,2035,914,1258],
[81,2038,53,1829,244,1],[81,2038,53,1829,244,12],
[81,2038,53,1829,244,76],[1110,1998,554,132,914,82],
[1110,1998,554,132,914,847],[1110,1998,554,132,914,388],
[1110,1998,554,132,914,85],[1110,1998,554,132,914,885],
[1110,1998,554,132,914,846],[1110,1998,554,132,914,389],
[1110,1998,554,132,914,1483],[139,361,88,1201,1659,20],
[139,361,88,1201,1659,1703],[139,361,88,1201,1659,21],
[139,361,88,1201,1659,60],[295,1959,1776,2165,1261,73],
[295,1959,1776,2165,1261,264],
[295,1959,1776,2165,1261,10],
[295,1959,1776,2165,1261,1544],
[295,1959,1776,2165,1261,1549],
[295,1959,1776,2165,1261,1588],
[295,1959,1776,2165,1261,434],
[295,1959,1776,2165,1261,1598],
[292,1973,2065,373,1130,134],
[292,1973,2065,373,1130,179],
[292,1973,2065,373,1130,157],
[292,1973,2065,373,1130,318],[139,88,1026,1201,1659,20],
[139,88,1026,1201,1659,60],[139,88,1026,1201,1659,1403],
[1970,137,1759,742,1244,550],[1970,137,1759,742,1244,20]
,[1970,137,1759,742,1244,165],
[1970,137,1759,742,1244,686],
[1970,137,1759,742,1244,684],
[1970,137,1759,742,1244,167],
[1970,137,1759,742,1244,871],
[1970,137,1759,742,1244,635],[75,1286,53,1829,244,1],
[75,1286,53,1829,244,568],[75,1286,53,1829,244,63],
[75,1286,53,1829,244,1274],[1907,137,1759,742,1244,1969]
,[1907,137,1759,742,1244,165],
[1907,137,1759,742,1244,1968],
[1907,137,1759,742,1244,167],
[1907,137,1759,742,1244,989],
[1907,137,1759,742,1244,1360],
[1907,137,1759,742,1244,1941],
[1907,137,1759,742,1244,1330],
[908,1907,603,2011,2082,164],
[908,1907,603,2011,2082,138],
[908,1907,603,2011,2082,2163],
[908,1907,603,2011,2082,20],
[908,1907,603,2011,2082,1822],
[908,1907,603,2011,2082,1061],[1445,918,642,1468,551,20]
,[1445,918,642,1468,551,85],
[975,1265,1902,1376,302,794],
[975,1265,1902,1376,302,1163],[904,1324,122,132,1663,85]
,[904,1324,122,132,1663,20],
[904,1324,122,132,1663,406],[904,1324,122,132,1663,414],
[139,88,1719,1201,1659,20],[139,88,1719,1201,1659,60],
[139,88,1719,1201,1659,1404],
[139,88,1719,1201,1659,1402],[139,88,1719,1201,1659,444]
,[139,88,1719,1201,1659,362],
[139,88,1719,1201,1659,1581],
[139,88,1719,1201,1659,1172],[2037,594,137,742,1244,168]
,[2037,594,137,742,1244,10],
[2037,594,137,742,1244,1087],
[2037,594,137,742,1244,1519],[2037,594,137,742,1244,961]
,[2037,594,137,742,1244,1090],
[2037,594,137,742,1244,164],[2037,594,137,742,1244,1645]
,[1518,1955,1233,504,1971,573],
[1518,1955,1233,504,1971,20],
[1518,1955,1233,504,1971,1291],
[1518,1955,1233,504,1971,360],
[1966,1678,2008,652,1922,103],
[1966,1678,2008,652,1922,228],
[1966,1678,2008,652,1922,241],
[1966,1678,2008,652,1922,880],
[863,1522,1831,652,1922,503],
[863,1522,1831,652,1922,224],
[863,1522,1831,652,1922,241],
[863,1522,1831,652,1922,235],[1466,38,977,652,1922,8],
[1466,38,977,652,1922,22],[1466,38,977,652,1922,241],
[1466,38,977,652,1922,1095],[702,1132,208,2106,169,864],
[702,1132,208,2106,169,2091],[702,1132,208,2106,169,483]
,[702,1132,208,2106,169,1568],
[702,1132,208,2106,169,1366],
[702,1132,208,2106,169,2094],[702,1132,208,2106,169,487]
,[702,1132,208,2106,169,1401],
[1237,75,826,2088,1700,224],[1237,75,826,2088,1700,1378]
,[1237,75,826,2088,1700,140],
[1237,75,826,2088,1700,235],[1237,75,826,2088,1700,1949]
,[1237,75,826,2088,1700,106],
[1237,75,826,2088,1700,583],[1237,75,826,2088,1700,710],
[225,38,1745,1807,1704,8],[225,38,1745,1807,1704,770],
[225,38,1745,1807,1704,27],[225,38,1745,1807,1704,768],
[53,2080,1962,1833,244,1300],[53,2080,1962,1833,244,37],
[53,2080,1962,1833,244,82],[53,2080,1962,1833,244,357],
[53,2080,1962,1833,244,2036],
[53,2080,1962,1833,244,1289],
[53,2080,1962,1833,244,2053],[53,2080,1962,1833,244,358]
,[139,1478,930,1639,1664,445],
[139,1478,930,1639,1664,448],
[139,1478,930,1639,1664,451],
[139,1478,930,1639,1664,447],
[1595,1943,1577,888,1664,110],
[1595,1943,1577,888,1664,85],
[2079,1602,1859,2128,901,98],
[2079,1602,1859,2128,901,1628],
[1595,1646,1470,1552,554,501],
[1595,1646,1470,1552,554,20],
[1595,1646,1470,1552,554,82],
[1595,1646,1470,1552,554,1374],
[169,2161,1047,726,2103,435],
[169,2161,1047,726,2103,845],
[169,2161,1047,726,2103,389],
[169,2161,1047,726,2103,257],
[169,2161,1047,726,2103,851],
[169,2161,1047,726,2103,393],
[169,2161,1047,726,2103,1475],
[169,2161,1047,726,2103,1488],
[1553,1760,912,1020,2037,500],
[1553,1760,912,1020,2037,138],
[1553,1760,912,1020,2037,499],
[1553,1760,912,1020,2037,135],
[1071,778,824,1745,1704,224],
[1071,778,824,1745,1704,228],
[1071,778,824,1745,1704,241],
[1071,778,824,1745,1704,235],
[1812,2155,429,972,1653,441],
[1812,2155,429,972,1653,269],
[1812,2155,429,972,1653,1751],
[1812,2155,429,972,1653,1749],
[139,1269,1205,1502,1651,448],
[139,1269,1205,1502,1651,593],
[139,1269,1205,1502,1651,85],
[139,1269,1205,1502,1651,2114],
[1283,1647,603,1261,1664,138],
[1283,1647,603,1261,1664,20],
[1283,1647,603,1261,1664,85],
[1283,1647,603,1261,1664,110],
[863,1876,992,1762,1690,503],[863,1876,992,1762,1690,36]
,[863,1876,992,1762,1690,1405],
[863,1876,992,1762,1690,235],
[1375,1503,964,1088,2037,511],
[1375,1503,964,1088,2037,42],
[1375,1503,964,1088,2037,384],
[1375,1503,964,1088,2037,869],
[312,484,1047,726,2103,389],[312,484,1047,726,2103,1721]
,[312,484,1047,726,2103,354],
[312,484,1047,726,2103,1718],[1149,837,2011,912,2082,94]
,[1149,837,2011,912,2082,532],
[1149,837,2011,912,2082,353],
[1149,837,2011,912,2082,519],
[855,2037,137,1244,2082,593],[855,2037,137,1244,2082,10]
,[855,2037,137,1244,2082,167],
[855,2037,137,1244,2082,1665],
[828,226,769,1704,1915,337],[828,226,769,1704,1915,79],
[828,226,769,1704,1915,338],[828,226,769,1704,1915,50],
[1098,1758,721,2099,1176,354],
[1098,1758,721,2099,1176,324],
[1098,1758,721,2099,1176,436],
[1098,1758,721,2099,1176,267],
[1070,2003,942,2088,1700,224],
[1070,2003,942,2088,1700,228],
[1070,2003,942,2088,1700,241],
[1070,2003,942,2088,1700,235],
[1970,1823,719,1686,2082,533],
[1970,1823,719,1686,2082,10],
[1970,1823,719,1686,2082,2168],
[1970,1823,719,1686,2082,135],
[1955,1233,797,132,1664,82],
[1955,1233,797,132,1664,1775],[1913,2017,247,2018,75,3],
[1913,2017,247,2018,75,1999],[1251,690,639,1754,595,147]
,[1251,690,639,1754,595,334],[136,522,1779,1490,1669],
[136,522,1779,1490,29],[136,522,1779,1490,2023],
[136,522,1779,1490,2102],[294,148,471,1842,615],
[294,148,471,1842,616],[32,78,2060,1950,299],
[32,78,2060,1950,8],[32,78,2060,1950,943],
[32,78,2060,1950,1592],[1715,78,1950,2060,1035],
[1715,78,1950,2060,8],[1715,78,1950,2060,1137],
[1715,78,1950,2060,64],[39,663,1569,1899,27],
[39,663,1569,1899,1024],[39,663,1569,1899,74],
[39,663,1569,1899,973],[638,194,443,1869,9],
[638,194,443,1869,204],[902,1658,1805,111,875],
[902,1658,1805,111,1206],[902,1658,1805,111,1437],
[902,1658,1805,111,1565],[1766,1535,461,535,204],
[1766,1535,461,535,193],[1302,2109,221,1493,183],
[1302,2109,221,1493,540],[547,1644,221,735,411],
[547,1644,221,735,1974],[653,1811,344,2054,353],
[653,1811,344,2054,860],[1613,1077,1177,944,154],
[1613,1077,1177,944,538],[1293,1786,1406,254],
[342,2116,2138,1101,1897,1],[342,2116,2138,1101,1897,17]
,[342,2116,2138,1101,1897,517],
[342,2116,2138,1101,1897,518],[467,728,285,1448,526,9],
[467,728,285,1448,526,1005],[467,728,285,1448,526,134],
[467,728,285,1448,526,999],[702,678,1672,350,1051,2],
[702,678,1672,350,1051,397],[702,678,1672,350,1051,193],
[702,678,1672,350,1051,311],[57,1958,855,1705,2037,135],
[57,1958,855,1705,2037,1226],[57,1958,855,1705,2037,138]
,[57,1958,855,1705,2037,1021],
[386,849,893,976,1774,1788],[53,28,699,1923,2009,246],
[53,28,699,1923,2009,1271],[53,28,699,1923,2009,234],
[53,28,699,1923,2009,2034],[122,855,1117,913,2037,138],
[122,855,1117,913,2037,80],[122,855,1117,913,2037,85],
[122,855,1117,913,2037,34],[877,972,419,521,1653,134],
[877,972,419,521,1653,118],[877,972,419,521,1653,1814],
[877,972,419,521,1653,1813],[1317,634,1517,383,572,72],
[1317,634,1517,383,572,324],[407,855,965,913,2037,42],
[407,855,965,913,2037,82],[178,2099,2030,721,732,1761],
[178,2099,2030,721,732,436],
[1528,1888,789,1574,1976,330],
[1528,1888,789,1574,1976,187],
[1538,1354,2071,335,1570,98],
[1538,1354,2071,335,1570,345],
[1538,1354,2071,335,1570,453],
[1538,1354,2071,335,1570,209],[1256,906,57,603,1705,135]
,[1256,906,57,603,1705,138],
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[472,728,285,1448,526,9],[472,728,285,1448,526,1138],
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