GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#############################################################################
##
#W database.g GAP4 Package `RCWA' Stefan Kohl
##
## Data library of the groups generated by 3 class transpositions which
## interchange residue classes with moduli <= 6.
##
## `grps' is the list of the groups in the database, and the following
## relations hold:
##
## 1. mods = List(grps,Mod);
## 2. sizes = List(grps,Size);
## 3. TriangleTypes() = List(grps,G->List([[1,2],[1,3],[2,3]],
## ind->CTPairProductType(GeneratorsOfGroup(G){ind})));
## where CTPairProductType is the component of the record returned by
## the function `LoadDatabaseOfProductsOf2ClassTranspositions'.
##
## Given a group G which is generated by 3 class transpositions with moduli
## <= 6, Id3CTsGroup(G,grps) is the position of the group G in the list
## grps of groups in this database.
##
## The list `freeproductcandidates' is a list of the indices of those groups
## which are possibly isomorphic to the free product of 3 cyclic groups of
## order 2, thus whose generators possibly do not satisfy any further
## relations. Only one index per class in 'conjugacyclasses' is given.
##
## The lists `stabilize_digitsum_base2_mod2',
## `stabilize_digitsum_base2_mod3' and `stabilize_digitsum_base3_mod2'
## contain indices of groups which stabilize the digit sum of an integer
## in base 2 modulo 2, in base 2 modulo 3 or in base 3 modulo 2,
## respectively.
##
## The list `abc_torsion' contains an entry [ <group number>, <order of the
## product of all 3 generators> ] for every infinite group in the database
## for which the product of all 3 generators has finite order.
##
## Descriptions of the following components can be found in other files in
## this directory:
##
## - `equalityclasses': equalityclasses.g,
## - `samegroups': samegroups.g,
## - `conjugacyclasses': conjugacyclasses.g,
## - `subgroups': subgroups.g,
## - `supergroups': supergroups.g,
## - `chains': chains.g,
## - `intransitivemodulo': intransitivemodulo.g,
## - `partitionlengths': partitionlengths.g,
## - `degrees': degrees.g,
## - `orbitlengths': orbitlengths.g,
## - `permgroupgens': permgroupgens.g,
## - `respectedpartitions': respectedpartitions.g,
## - `finiteorbits': finite-orbits.g,
## - `shortresidueclassorbitlengths': residueclassorbitlengths.g,
## - `cyclist': spheresizecycles.g,
## - `trsstatus', `trsstatuspos' and `trsstatusset': trsstatuspos.g, and
## - `orbitgrowthtype': orbitgrowthtype.g.
##
#############################################################################
return rec(
#############################################################################
##
#S Utility functions. //////////////////////////////////////////////////////
##
#############################################################################
Id3CTsGroup := function ( G, grps )
local gens;
if not IsRcwaGroupOverZ(G) then return fail; fi;
gens := Set(GeneratorsOfGroup(G));
if Length(gens) <> 3 or not ForAll(gens,IsClassTransposition)
or not ForAll(gens,g->Maximum(List(TransposedClasses(g),Mod))<=6)
then return fail; fi;
return First([1..Length(grps)],i->gens=GeneratorsOfGroup(grps[i]));
end,
TriangleTypes := function ( )
local triangles, triangle, cts, ctpairs, cttriples,
data, ctptypes, mods, sizes, i;
cts := List(ClassPairs(6),ClassTransposition);
ctpairs := Combinations(cts,2);
cttriples := Combinations(cts,3);
data := LoadDatabaseOfProductsOf2ClassTranspositions();
ctptypes := data.CTPairsProductType;
data := LoadDatabaseOfGroupsGeneratedBy3ClassTranspositions();
mods := data.mods;
sizes := data.sizes;
triangles := [];
for i in [1..Length(cttriples)] do
triangle := List([[1,2],[1,3],[2,3]],ind->Set(cttriples[i]{ind}));
triangle := List(triangle,edge->ctptypes[PositionSorted(ctpairs,edge)]);
Add(triangles,triangle);
od;
return triangles;
end,
3CTsGroupsWithGivenOrbit := function ( orbit, maxmod )
local cts, stab, perms, gens, gensp, indcombs,
grps, grpsp, trsinds, start;
start := Runtime();
orbit := AsSet(orbit);
Info(InfoRCWA,2,"Setting up the list of class transpositions ...");
cts := List(ClassPairs(maxmod),ClassTransposition);
Info(InfoRCWA,2,"Elapsed time: ",Runtime()-start); start := Runtime();
Info(InfoRCWA,2,"Determining which class transpositions stabilize ...");
stab := Filtered(cts,ct->orbit^ct=orbit);
perms := List(stab,s->Permutation(s,orbit));
Info(InfoRCWA,2,"Found ",Length(stab),
" class transpositions which stabilize.");
Info(InfoRCWA,2,"Elapsed time: ",Runtime()-start); start := Runtime();
Info(InfoRCWA,2,"Forming the list of triples of class transpositions ",
"which stabilize ...");
indcombs := Combinations([1..Length(stab)],3);
gens := List(indcombs,ind->stab{ind});
gensp := List(indcombs,ind->perms{ind});
Info(InfoRCWA,2,"Forming the list of groups ...");
grpsp := List(gensp,Group);
Info(InfoRCWA,2,"There are ",Length(grpsp)," groups to check in total.");
Info(InfoRCWA,2,"Elapsed time: ",Runtime()-start); start := Runtime();
Info(InfoRCWA,2,"Filtering the groups for transitivity ...");
trsinds := Filtered([1..Length(grpsp)],
i->IsTransitive(grpsp[i],[1..Length(orbit)]));
grps := List(gens{trsinds},Group);
Info(InfoRCWA,2,"Found ",Length(grps),
" groups which have the given orbit.");
Info(InfoRCWA,2,"Elapsed time: ",Runtime()-start); start := Runtime();
return grps;
end,
ProbablyFixesDigitSumsModulo := function ( g, b, m )
local n, B;
if b <= 1 then return fail; fi;
if IsOne(g) or m = 1 then return true; fi;
B := 100 * Mod(g);
n := 0;
repeat
if Sum(CoefficientsQadic(n ,b)) mod m
<> Sum(CoefficientsQadic(n^g,b)) mod m
then return false; fi;
if n >= B then return true; fi;
n := n + 1;
until false;
end,
ProbablyStabilizesDigitSumsModulo := function ( G, b, m )
return ForAll(GeneratorsOfGroup(G),
g->~.ProbablyFixesDigitSumsModulo(g,b,m));
end,
#############################################################################
##
#S The groups. /////////////////////////////////////////////////////////////
##
#############################################################################
cts := List(ClassPairs(6),c->SparseRep(ClassTransposition(c))),
grps := List(Combinations(~.cts,3),Group),
groups := ~.grps, # synonym for `grps'
#############################################################################
##
#S Data lists. /////////////////////////////////////////////////////////////
##
#############################################################################
mods :=
[ 6,6,12,12,12,0,12,12,0,12,0,0,30,30,30,30,30,
30,30,30,30,30,6,6,6,6,6,6,0,0,6,6,6,0,6,0,0,0,0,
0,6,6,0,6,0,6,0,6,0,0,12,12,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,6,12,12,12,0,12,12,0,12,0,0,30,30,30,30,
30,30,30,30,30,30,6,6,6,6,6,6,0,0,6,6,6,12,6,0,0,
0,0,0,6,6,0,6,0,6,12,6,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,12,12,12,0,12,12,0,12,0,0,30,30,30,
30,30,30,30,30,30,30,6,6,6,6,6,6,0,0,6,6,6,0,6,0,
0,0,0,0,6,6,0,6,0,6,0,6,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,4,4,0,4,4,0,4,0,0,20,20,20,20,20,20,
20,20,20,20,12,12,12,12,12,12,0,0,12,12,12,24,12,24,
24,0,0,0,12,12,0,12,0,12,24,12,0,0,24,24,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,4,0,4,4,0,4,0,0,20,20,20,20,
20,20,20,20,20,20,12,12,12,12,12,12,0,0,12,12,12,0,
12,0,0,0,0,0,12,12,0,12,0,12,0,12,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,4,4,0,4,0,0,20,20,20,20,
20,20,20,20,20,20,12,12,12,12,12,12,0,0,12,12,12,0,
12,0,0,0,0,0,12,12,0,12,0,12,0,12,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
4,0,4,0,0,20,20,20,20,20,20,20,20,20,20,12,12,12,12,
12,12,0,0,12,12,12,24,12,24,24,0,0,0,12,12,0,12,0,
12,24,12,0,0,24,24,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,4,0,0,20,20,20,20,20,20,20,20,20,20,12,12,12,12,12,
12,0,0,12,12,12,0,12,0,0,0,0,0,12,12,0,12,0,12,0,
12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,20,20,20,20,20,20,20,20,20,20,12,
12,12,12,12,12,0,0,12,12,12,0,12,0,0,0,0,0,12,12,0,
12,0,12,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,10,10,10,10,10,
10,10,10,30,30,30,30,30,30,0,0,30,30,30,0,30,120,120,
0,0,0,30,30,0,30,0,30,0,30,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,10,10,10,10,10,10,10,10,30,30,30,30,
30,30,0,0,30,30,30,120,30,0,0,0,0,0,30,30,0,30,0,30,
120,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,
10,10,10,10,10,10,30,30,30,30,30,30,0,0,30,30,30,0,
30,0,0,0,0,0,30,30,0,30,0,30,0,30,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,10,10,10,10,10,10,30,30,30,
30,30,30,0,0,30,30,30,0,30,0,0,0,0,0,30,30,0,30,0,
30,0,30,0,0,120,120,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
10,10,10,10,10,30,30,30,30,30,30,0,0,30,30,30,0,30,0,
0,0,0,0,30,30,0,30,0,30,0,30,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,10,10,10,10,30,30,30,30,30,30,0,
0,30,30,30,480,30,0,0,0,0,0,30,30,0,30,0,30,480,30,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,10,10,
30,30,30,30,30,30,0,0,30,30,30,0,30,120,120,0,0,0,30,
30,0,30,0,30,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,10,10,30,30,30,30,30,30,0,0,30,30,30,0,30,0,
0,0,0,0,30,30,0,30,0,30,0,30,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,10,30,30,30,30,30,30,0,0,30,30,
30,0,30,0,0,0,0,0,30,30,0,30,0,30,0,30,0,0,480,480,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,30,30,30,30,30,0,
0,30,30,30,0,30,0,0,0,0,0,30,30,0,30,0,30,0,30,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,6,6,6,6,0,0,
6,6,6,12,6,12,12,0,0,0,6,6,0,6,0,6,12,6,0,0,12,12,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,6,6,6,0,0,6,6,6,
12,6,0,0,0,0,0,6,6,0,6,0,6,12,6,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,6,6,6,0,0,6,6,6,12,6,0,0,
0,0,0,6,6,0,6,0,6,12,6,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,6,6,0,0,6,6,6,12,6,12,12,0,0,0,6,6,
0,6,0,6,12,6,0,0,12,12,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,6,0,0,6,6,6,12,6,0,0,0,0,0,6,6,0,6,0,6,12,6,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,6,6,
12,6,0,0,0,0,0,6,6,0,6,0,6,12,6,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,6,0,6,0,0,0,0,0,6,
6,0,6,0,6,0,6,0,0,12,12,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,6,0,6,0,0,0,0,0,6,6,0,6,0,6,0,6,0,0,12,12,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,12,12,0,0,0,6,
6,0,6,0,6,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,12,0,0,0,0,0,12,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,12,12,0,0,0,6,6,0,6,0,6,
0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,0,
0,0,12,0,0,0,0,12,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,12,0,0,0,0,12,0,12,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,6,0,6,0,6,12,6,0,0,12,12,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,6,0,6,0,6,0,0,12,12,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,6,0,6,0,0,12,12,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,12,12,
12,0,12,12,0,12,0,0,15,15,15,15,15,15,15,15,15,15,6,
6,6,6,6,6,0,0,6,6,6,0,6,0,0,0,0,0,6,6,0,6,0,6,0,
6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,12,12,
0,12,12,0,12,0,0,15,15,15,15,15,15,15,15,15,15,6,6,
6,6,6,6,0,0,6,6,6,0,6,0,0,0,0,0,6,6,0,6,0,6,0,6,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,12,0,12,
12,96,12,96,0,60,60,60,60,60,60,60,60,60,60,12,12,12,
12,12,12,0,0,12,12,12,0,12,0,0,0,0,0,12,12,48,12,0,
12,48,12,0,0,24,24,0,108,0,0,0,0,0,0,0,0,72,0,0,72,
0,12,0,12,12,96,12,0,0,60,60,60,60,60,60,60,60,60,60,
12,12,12,12,12,12,0,0,12,12,12,0,12,0,0,0,0,0,12,12,
0,12,108,12,0,12,24,24,0,0,0,0,0,0,0,0,0,0,0,0,0,
72,0,72,0,0,12,12,0,12,0,0,60,60,60,60,60,60,60,60,
60,60,12,12,12,12,12,12,0,0,12,12,12,0,12,0,0,0,0,0,
12,12,24,12,36,12,24,12,24,24,0,0,0,0,0,0,0,0,0,0,
0,0,36,36,0,72,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,0,
12,0,0,60,60,60,60,60,60,60,60,60,60,12,12,12,12,12,
12,48,0,12,12,12,0,12,0,48,0,0,0,12,12,0,12,0,12,0,
12,0,0,24,24,0,108,0,0,0,72,0,0,0,0,0,72,0,0,0,0,
12,0,0,60,60,60,60,60,60,60,60,60,60,12,12,12,12,12,
12,24,0,12,12,12,0,12,0,24,0,0,0,12,12,0,12,0,12,0,
12,0,0,0,0,0,36,0,0,0,36,0,0,0,0,0,72,0,36,0,0,0,
0,0,7680,0,0,0,0,0,0,0,0,48,0,0,0,0,0,0,0,48,0,0,
0,0,0,0,0,0,0,0,0,48,0,0,0,48,0,0,0,0,0,0,0,0,0,
0,144,0,0,0,0,0,0,0,0,0,0,0,60,60,60,60,60,60,60,
60,60,60,12,12,12,12,12,12,24,0,12,12,12,0,12,0,24,0,
0,0,12,12,24,12,108,12,24,12,24,24,24,24,0,0,0,0,0,
72,0,0,0,0,72,0,0,0,0,0,0,0,0,1920,0,0,0,0,0,0,48,
0,0,0,0,0,48,0,48,0,0,0,0,0,48,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,144,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,15,15,15,15,15,15,15,15,15,30,30,30,30,30,
30,120,0,30,30,30,0,30,0,120,0,0,0,30,30,60,30,810,
30,60,30,0,0,0,0,0,270,0,0,0,1080,0,0,0,0,6480,6480,
0,6480,0,15,15,15,15,15,15,15,15,30,30,30,30,30,30,0,
0,30,30,30,0,30,0,0,0,0,0,30,30,60,30,0,30,60,30,60,
60,0,0,0,0,0,0,0,0,0,0,0,0,6480,1080,0,1080,0,15,15,
15,15,15,15,15,30,30,30,30,30,30,0,0,30,30,30,0,30,0,
0,0,0,0,30,30,0,30,270,30,0,30,60,60,0,0,0,0,0,0,0,
0,0,0,0,0,1080,1080,0,1080,0,15,15,15,15,15,15,30,30,
30,30,30,30,120,0,30,30,30,0,30,0,120,0,0,0,30,30,
120,30,270,30,120,30,0,0,60,60,0,810,0,0,0,1080,0,0,
0,0,1080,0,0,0,0,15,15,15,15,15,30,30,30,30,30,30,0,
0,30,30,30,0,30,0,0,0,0,0,30,30,60,30,0,30,60,30,
120,120,120,120,0,270,0,0,0,0,0,0,0,0,1080,0,0,0,0,
15,15,15,15,30,30,30,30,30,30,30,0,30,30,30,0,30,0,
30,0,0,0,30,30,30,30,810,30,30,30,30,30,30,30,0,810,
0,0,0,0,0,0,0,0,1080,6480,0,6480,0,15,15,15,30,30,30,
30,30,30,60,0,30,30,30,0,30,0,60,0,0,0,30,30,0,30,0,
30,0,30,0,0,0,0,0,810,0,0,0,6480,0,0,0,0,0,1080,0,
1080,0,15,15,30,30,30,30,30,30,60,0,30,30,30,0,30,0,
60,0,0,0,30,30,0,30,0,30,0,30,0,0,60,60,0,270,0,0,
0,1080,0,0,0,0,0,0,0,0,0,15,30,30,30,30,30,30,30,0,
30,30,30,0,30,0,30,0,0,0,30,30,30,30,270,30,30,30,30,
30,30,30,0,0,0,0,0,6480,0,0,0,0,6480,0,0,0,0,30,30,
30,30,30,30,0,0,30,30,30,0,30,0,0,0,0,0,30,30,60,30,
0,30,60,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1080,0,0,0,
0,6,6,6,6,6,12,0,6,6,6,0,6,0,12,0,0,0,6,6,12,6,
18,6,12,6,6,6,6,6,0,18,0,0,0,36,0,0,0,0,36,36,0,
36,0,6,6,6,6,0,0,6,6,6,0,6,0,0,0,0,0,6,6,12,6,18,
6,12,6,12,12,0,0,0,0,0,0,0,0,0,0,0,0,36,36,0,0,0,
6,6,6,0,0,6,6,6,0,6,0,0,0,0,0,6,6,12,6,18,6,12,6,
12,12,0,0,0,0,0,0,0,0,0,0,0,0,36,36,0,0,0,6,6,0,
0,6,6,6,0,6,0,0,0,0,0,6,6,12,6,18,6,12,6,0,0,12,
12,0,0,0,0,0,0,0,0,0,0,36,36,0,0,0,6,12,0,6,6,6,
0,6,0,12,0,0,0,6,6,12,6,18,6,12,6,6,6,6,6,0,18,0,
0,0,36,0,0,0,0,36,36,0,36,0,12,0,6,6,6,0,6,0,12,0,
0,0,6,6,12,6,18,6,12,6,6,6,6,6,0,18,0,0,0,36,0,0,
0,0,36,36,0,36,0,0,12,0,12,0,12,0,6,0,0,0,12,12,6,
6,36,12,6,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,72,72,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,6,0,6,0,12,0,0,
0,6,6,12,6,18,6,12,6,6,6,6,6,0,18,0,0,0,36,0,0,0,
0,36,36,0,36,0,6,0,6,0,0,0,0,0,6,6,12,6,18,6,12,6,
0,0,12,12,0,0,0,0,0,0,0,0,0,0,36,36,0,0,0,0,6,0,
12,0,0,0,6,6,12,6,18,6,12,6,6,6,6,6,0,18,0,0,0,36,
0,0,0,0,36,36,0,36,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,0,0,
0,6,6,12,6,18,6,12,6,6,6,6,6,0,18,0,0,0,36,0,0,0,
0,36,36,0,36,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,12,6,6,36,
12,6,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,72,72,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,6,0,6,0,6,0,6,0,0,12,12,
0,18,0,0,0,36,0,0,0,0,0,0,0,36,0,0,6,0,6,0,6,0,0,
12,12,0,18,0,0,0,36,0,0,0,0,0,0,0,36,0,6,0,0,6,0,
0,0,0,0,0,36,0,0,0,72,0,0,0,0,0,0,0,72,0,0,6,6,6,
12,12,12,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,12,12,
0,0,0,18,0,0,0,36,0,0,0,0,0,0,0,36,0,0,0,0,0,0,0,
36,0,0,0,72,0,0,0,0,0,0,0,72,0,12,12,0,0,0,18,0,0,
0,36,0,0,0,0,0,0,0,36,0,6,6,6,0,0,0,0,0,72,0,0,0,
0,0,72,0,0,0,6,6,0,0,0,0,0,72,0,0,0,0,0,72,0,0,0,
6,0,0,0,0,0,0,0,0,0,0,0,72,0,72,0,0,0,0,0,0,0,0,
0,0,0,0,72,0,72,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,36,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,36,0,0,0,0,0,0,0,0,0,12,12,12,
0,12,12,0,12,0,0,15,15,15,15,15,15,15,15,15,15,6,6,
6,6,6,6,0,0,6,6,6,0,6,0,0,0,0,0,6,6,0,6,0,6,0,6,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,12,0,12,
12,0,12,0,0,60,60,60,60,60,60,60,60,60,60,12,12,12,
12,12,12,0,0,12,12,12,24,12,48,0,0,108,0,12,12,0,12,
0,12,24,12,0,48,0,0,0,0,0,0,0,0,0,0,72,0,0,0,0,0,
72,12,0,12,12,0,12,0,96,60,60,60,60,60,60,60,60,60,
60,12,12,12,12,12,12,24,24,12,12,12,0,12,0,0,0,0,0,
12,12,0,12,0,12,0,12,0,0,0,0,0,0,108,0,72,0,0,0,0,
0,0,0,0,0,72,0,12,12,0,12,0,0,60,60,60,60,60,60,60,
60,60,60,12,12,12,12,12,12,0,0,12,12,12,0,12,24,0,0,
36,0,12,12,0,12,0,12,0,12,0,24,0,0,0,0,0,0,36,0,0,
0,36,0,0,0,0,0,72,96,0,0,0,0,0,0,1920,0,0,0,0,0,0,
0,0,0,48,0,0,0,0,0,0,0,0,0,0,0,48,0,0,0,0,48,0,0,
0,0,0,0,0,0,48,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
144,12,0,12,0,96,60,60,60,60,60,60,60,60,60,60,12,12,
12,12,12,12,0,0,12,12,12,24,12,0,0,48,108,0,12,12,0,
12,0,12,24,12,0,0,0,48,0,0,0,0,72,0,72,0,0,0,0,0,
0,0,0,0,12,0,0,60,60,60,60,60,60,60,60,60,60,12,12,
12,12,12,12,24,24,12,12,12,0,12,0,0,24,0,0,12,12,0,
12,0,12,0,12,0,0,0,24,0,0,36,0,72,0,36,0,0,0,0,0,
0,0,36,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,60,60,60,60,60,
60,60,60,60,12,12,12,12,12,12,24,24,12,12,12,24,12,24,
0,24,0,0,12,12,0,12,0,12,24,12,0,24,0,24,0,0,108,0,
0,0,72,0,72,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
7680,0,0,0,0,0,0,0,48,0,0,0,0,0,0,0,0,0,0,0,0,0,
48,0,0,48,0,0,0,0,0,0,0,0,0,0,48,0,0,0,0,0,0,0,0,
144,0,0,0,0,0,0,15,15,15,15,15,15,15,15,15,30,30,30,
30,30,30,0,0,30,30,30,0,30,60,0,0,810,0,30,30,0,30,
0,30,0,30,0,60,0,0,0,0,0,0,1080,0,0,0,6480,0,0,0,0,
0,1080,15,15,15,15,15,15,15,15,30,30,30,30,30,30,0,0,
30,30,30,60,30,120,0,120,810,0,30,30,0,30,0,30,60,30,
0,120,0,120,0,0,270,0,0,0,1080,0,1080,0,0,0,0,0,0,
15,15,15,15,15,15,15,30,30,30,30,30,30,0,0,30,30,30,
60,30,60,0,0,270,0,30,30,0,30,0,30,60,30,0,60,0,0,0,
0,0,0,0,0,0,0,1080,0,0,0,0,0,0,15,15,15,15,15,15,
30,30,30,30,30,30,60,60,30,30,30,0,30,0,0,60,0,0,30,
30,0,30,0,30,0,30,0,0,0,60,0,0,0,0,1080,0,6480,0,0,
0,0,0,0,0,1080,15,15,15,15,15,30,30,30,30,30,30,120,
120,30,30,30,120,30,0,0,60,270,0,30,30,0,30,0,30,120,
30,0,0,0,60,0,0,0,0,0,0,1080,0,0,0,0,0,0,0,0,15,
15,15,15,30,30,30,30,30,30,30,30,30,30,30,30,30,30,0,
30,0,0,30,30,0,30,0,30,30,30,0,30,0,30,0,0,270,0,0,
0,6480,0,6480,0,0,0,0,0,0,15,15,15,30,30,30,30,30,30,
0,0,30,30,30,0,30,120,0,60,270,0,30,30,0,30,0,30,0,
30,0,120,0,60,0,0,810,0,6480,0,6480,0,1080,0,0,0,0,0,
6480,15,15,30,30,30,30,30,30,60,60,30,30,30,0,30,0,0,
0,0,0,30,30,0,30,0,30,0,30,0,0,0,0,0,0,270,0,1080,
0,1080,0,0,0,0,0,0,0,1080,15,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,0,30,810,0,30,30,0,30,0,30,30,30,0,
30,0,30,0,0,810,0,6480,0,1080,0,0,0,0,0,0,0,6480,30,
30,30,30,30,30,0,0,30,30,30,0,30,0,0,60,0,0,30,30,0,
30,0,30,0,30,0,0,0,60,0,0,0,0,0,0,1080,0,0,0,0,0,
0,0,0,6,6,6,6,6,0,0,6,6,6,12,6,12,0,0,18,0,6,6,0,
6,0,6,12,6,0,12,0,0,0,0,0,0,36,0,0,0,36,0,0,0,0,
0,0,6,6,6,6,6,6,6,6,6,6,6,12,0,12,18,0,6,6,0,6,0,
6,6,6,0,12,0,12,0,0,18,0,36,0,36,0,36,0,0,0,0,0,
36,6,6,6,0,0,6,6,6,12,6,12,0,0,18,0,6,6,0,6,0,6,
12,6,0,12,0,0,0,0,0,0,36,0,0,0,36,0,0,0,0,0,0,6,
6,0,0,6,6,6,12,6,0,0,12,0,0,6,6,0,6,0,6,12,6,0,0,
0,12,0,0,18,0,0,0,36,0,0,0,0,0,0,0,36,6,0,0,6,6,
6,12,6,0,0,12,0,0,6,6,0,6,0,6,12,6,0,0,0,12,0,0,
18,0,0,0,36,0,0,0,0,0,0,0,36,12,12,6,6,6,12,6,6,0,
6,0,0,6,6,0,6,0,6,12,6,0,6,0,6,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,6,12,6,6,6,12,0,0,0,0,0,6,12,0,6,0,
6,6,12,0,0,0,0,0,0,0,0,0,0,0,0,72,0,0,0,0,0,72,
12,6,6,6,12,0,0,0,0,0,6,12,0,6,0,6,6,12,0,0,0,0,
0,0,0,0,0,0,0,0,72,0,0,0,0,0,72,6,6,0,6,0,0,12,0,
0,6,6,0,6,0,6,0,6,0,0,0,12,0,0,18,0,0,0,36,0,0,0,
0,0,0,0,36,6,6,6,12,0,12,18,0,6,6,0,6,0,6,6,6,0,
12,0,12,0,0,18,0,36,0,36,0,36,0,0,0,0,0,36,6,6,12,
0,12,18,0,6,6,0,6,0,6,6,6,0,12,0,12,0,0,18,0,36,0,
36,0,36,0,0,0,0,0,36,0,0,0,0,0,0,6,0,0,6,0,6,6,0,
0,0,0,0,0,0,0,0,72,0,0,0,0,0,0,0,0,0,72,12,0,0,
18,0,6,6,0,6,0,6,0,6,0,12,0,0,0,0,0,0,36,0,0,0,
36,0,0,0,0,0,0,0,6,0,0,12,0,0,12,0,12,0,12,0,6,0,
6,0,0,36,0,0,0,72,0,0,0,0,0,0,0,72,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
36,0,12,12,0,12,0,12,0,0,0,6,0,6,0,0,0,0,72,0,0,0,
72,0,0,0,0,0,0,0,18,0,0,18,0,18,0,18,0,0,0,36,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,6,0,6,6,6,0,
12,0,12,0,0,18,0,36,0,36,0,36,0,0,0,0,0,36,0,6,0,
6,0,6,0,0,0,12,0,0,18,0,0,0,36,0,0,0,0,0,0,0,36,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,6,6,6,0,12,0,12,0,0,18,0,36,0,36,0,36,0,0,0,0,0,
36,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
6,6,0,12,0,12,0,0,18,0,36,0,36,0,36,0,0,0,0,0,36,
0,0,0,0,0,0,0,0,0,72,0,0,0,0,0,0,0,0,0,72,0,12,0,
0,0,0,0,0,36,0,0,0,36,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,36,0,0,0,72,0,0,0,
0,0,0,0,72,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,72,0,0,0,72,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,36,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,36,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,12,12,0,12,12,0,12,0,0,60,60,60,60,60,60,60,60,60,
60,12,12,12,12,12,12,0,0,12,12,12,48,12,48,0,0,0,0,
12,12,48,12,0,12,0,12,48,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,12,0,12,12,0,12,0,0,60,60,60,60,60,60,
60,60,60,60,12,12,12,12,12,12,0,0,12,12,12,0,12,0,0,
0,0,0,12,12,0,12,0,12,0,12,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,24,12,12,24,12,12,12,60,60,60,60,60,
60,60,60,60,60,12,12,12,12,12,12,0,24,12,12,12,0,12,
24,0,0,36,36,12,12,24,12,36,12,0,12,0,0,24,0,36,36,
36,36,36,72,72,72,36,36,36,36,72,72,72,0,12,12,0,0,0,
0,0,60,0,60,0,0,60,0,60,0,0,12,0,12,0,0,24,0,12,24,
0,12,0,0,0,0,0,0,12,0,0,0,12,0,0,0,0,24,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,12,0,12,0,0,60,60,60,60,
60,60,60,60,60,60,12,12,12,12,12,12,0,48,12,12,12,0,
12,0,48,48,0,0,12,12,0,12,0,12,0,12,0,0,48,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,12,12,24,24,60,60,60,60,60,
60,60,60,60,60,12,12,12,12,12,12,0,0,12,12,12,24,12,
0,24,24,36,36,12,12,0,12,36,12,0,12,24,0,0,0,36,36,
36,72,72,36,36,36,72,72,72,72,36,36,36,0,0,0,0,960,
60,0,60,0,0,60,0,60,0,0,12,0,12,0,0,0,0,12,24,0,12,
0,0,0,0,0,0,12,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,60,60,60,60,60,60,60,60,60,
60,12,12,12,12,12,12,0,24,12,12,12,24,12,24,24,24,0,
108,12,12,24,12,0,12,0,12,24,0,24,0,108,0,0,0,0,0,0,
72,0,72,0,0,0,0,0,12,0,0,60,0,60,0,0,60,0,60,0,0,
12,0,12,0,0,0,0,12,24,24,12,0,0,0,0,0,0,12,0,0,0,
12,0,0,24,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,60,960,60,0,0,60,0,60,0,0,12,0,12,0,0,0,0,12,24,
0,12,0,0,0,0,0,0,12,0,0,0,12,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,15,15,15,15,15,15,15,15,15,
30,30,30,30,30,30,0,0,30,30,30,60,30,60,0,0,0,0,30,
30,60,30,0,30,0,30,60,0,0,0,0,0,0,0,38880,0,0,0,0,
0,0,38880,0,38880,38880,15,15,15,15,15,15,15,15,30,30,
30,30,30,30,0,0,30,30,30,120,30,120,0,0,0,0,30,30,
120,30,0,30,0,30,120,0,0,0,0,0,0,0,0,0,0,0,38880,0,
38880,0,0,0,0,15,15,15,15,15,15,15,30,30,30,30,30,30,
0,0,30,30,30,120,30,60,0,0,90,90,30,30,60,30,90,30,0,
30,120,0,0,0,90,90,90,180,180,180,180,180,180,180,180,
180,180,180,180,15,15,15,15,15,15,30,30,30,30,30,30,0,
120,30,30,30,0,30,0,120,120,0,0,30,30,0,30,0,30,0,30,
0,0,120,0,0,0,0,0,0,38880,38880,0,0,0,0,0,0,0,0,15,
15,15,15,15,30,30,30,30,30,30,0,60,30,30,30,60,30,0,
0,0,90,90,30,30,0,30,90,30,0,30,60,0,60,0,90,90,90,
180,180,180,180,180,180,180,180,180,180,180,180,15,15,15,
15,30,30,30,30,30,30,0,30,30,30,30,30,30,30,30,30,0,
0,30,30,30,30,0,30,0,30,30,0,30,0,0,0,0,6480,0,0,0,
6480,0,0,0,0,1080,0,0,15,15,15,30,30,30,30,30,30,0,
60,30,30,30,0,30,0,60,60,0,0,30,30,0,30,0,30,0,30,0,
0,60,0,0,0,0,0,38880,0,0,0,0,0,0,38880,0,38880,38880,
15,15,30,30,30,30,30,30,0,120,30,30,30,0,30,0,60,60,
90,90,30,30,0,30,90,30,0,30,0,0,120,0,90,90,90,180,
180,180,180,180,180,180,180,180,180,180,180,15,30,30,30,
30,30,30,0,30,30,30,30,30,30,30,30,30,0,0,30,30,30,
30,0,30,0,30,30,0,30,0,0,0,0,1080,0,0,0,0,0,6480,0,
0,6480,0,0,30,30,30,30,30,30,0,0,30,30,30,0,30,60,60,
60,90,90,30,30,60,30,90,30,0,30,0,0,0,0,90,90,90,180,
180,180,180,180,180,180,180,180,180,180,180,6,6,6,6,6,
0,0,6,6,6,12,6,12,0,0,18,0,6,6,12,6,18,6,0,6,12,0,
0,0,18,0,0,0,36,0,0,36,36,0,36,36,36,0,0,6,6,6,6,
0,0,6,6,6,12,6,12,0,0,18,0,6,6,12,6,18,6,0,6,12,0,
0,0,18,0,0,0,36,0,0,36,36,0,36,36,36,0,0,6,6,6,0,
12,6,6,6,12,6,6,6,6,18,18,6,6,6,6,18,6,0,6,12,0,
12,0,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,6,
6,0,12,6,6,6,12,6,6,6,6,0,18,6,6,6,6,0,6,0,6,12,
0,12,0,18,0,0,36,0,0,0,36,0,36,0,0,36,0,0,6,0,0,6,
6,6,12,6,0,12,12,18,18,6,6,0,6,18,6,0,6,12,0,0,0,
18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,0,12,6,
6,6,12,6,6,6,6,0,18,6,6,6,6,0,6,0,6,12,0,12,0,18,
0,0,36,0,0,0,36,0,36,0,0,36,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,12,12,6,6,12,0,0,0,36,0,12,12,0,12,36,
0,0,12,6,0,6,0,36,0,0,0,72,0,0,72,72,0,72,72,72,72,
72,6,6,0,6,0,12,12,0,18,6,6,0,6,0,6,0,6,0,0,12,0,
0,18,18,36,0,36,36,0,0,36,0,0,0,36,36,6,0,6,12,0,0,
18,18,6,6,12,6,18,6,0,6,0,0,12,0,18,18,18,36,36,36,
36,36,36,36,36,36,36,36,36,6,6,12,12,12,18,0,6,6,12,
6,18,6,0,6,6,0,6,0,0,18,18,0,36,36,36,0,36,0,36,36,
0,36,36,0,0,0,0,0,36,0,12,0,12,0,12,0,12,6,0,6,0,
0,36,36,72,72,72,72,0,0,72,0,72,0,72,72,12,0,0,18,
18,6,6,12,6,18,6,0,6,0,0,12,0,18,18,18,36,36,36,36,
36,36,36,36,36,36,36,36,6,6,0,36,0,6,6,6,0,0,0,6,0,
0,0,0,0,36,36,72,0,72,72,0,0,72,0,0,0,72,72,6,36,0,
12,6,6,6,36,12,0,6,0,0,0,0,36,0,0,0,72,0,0,72,72,
0,72,72,72,0,0,36,0,12,6,6,6,36,12,0,6,0,0,0,0,36,
0,0,0,72,0,0,72,72,0,72,72,72,0,0,18,0,18,0,0,18,
18,0,0,0,0,36,0,0,0,0,36,0,0,0,0,0,36,0,0,0,0,0,
18,18,36,18,18,18,0,18,36,0,0,0,0,0,0,0,36,0,0,0,
36,0,36,36,0,0,0,6,0,6,0,6,0,6,0,0,12,0,0,18,18,
36,0,36,36,0,0,36,0,0,0,36,36,6,6,18,6,0,6,12,0,12,
0,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,6,0,0,
0,6,0,0,0,0,0,36,36,72,0,72,72,0,0,72,0,0,0,72,72,
0,6,0,6,12,0,12,0,18,0,0,36,0,0,0,36,0,36,0,0,36,
0,0,18,0,0,0,0,36,0,0,0,0,36,0,0,0,0,0,36,0,0,0,
0,0,0,6,12,0,0,0,18,18,18,36,36,36,36,36,36,36,36,
36,36,36,36,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,12,0,12,0,18,0,0,36,0,0,0,36,0,36,0,0,36,0,0,
0,6,0,0,36,36,72,72,72,72,0,0,72,0,72,0,72,72,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,36,0,0,0,72,0,0,
72,72,0,72,72,72,72,72,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,18,18,0,0,36,36,0,0,0,0,0,0,36,36,18,0,0,0,0,
36,0,0,0,0,36,0,0,0,0,0,0,36,0,0,0,0,36,0,0,36,0,
0,0,36,36,36,36,0,0,0,0,0,0,36,36,36,36,0,0,0,36,
36,0,0,0,0,36,36,36,36,0,0,0,0,36,36,36,0,0,0,0,36,
36,36,36,36,36,0,0,0,36,36,0,0,0,36,0,0,0,0,0,0,36,
36,36,4,0,4,4,8,4,0,0,20,20,20,20,20,20,20,20,20,20,
12,12,12,12,12,12,0,0,12,12,12,0,12,0,0,0,0,0,12,12,
48,12,0,12,0,12,0,48,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
24,24,24,0,4,4,8,4,0,0,20,20,20,20,20,20,20,20,20,
20,12,12,12,12,12,12,0,0,12,12,12,0,12,0,0,0,0,0,12,
12,48,12,0,12,0,12,0,48,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,24,24,24,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,4,0,0,
20,20,20,20,20,20,20,20,20,20,12,12,12,12,12,12,0,0,
12,12,12,24,12,24,24,0,0,0,12,12,0,12,0,12,24,12,0,
0,24,24,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,8,0,20,
20,20,20,20,20,20,20,20,20,12,12,12,12,12,12,0,0,12,
12,12,24,12,0,24,0,0,0,12,12,0,12,0,12,0,12,48,0,0,
24,0,0,0,0,0,0,0,0,24,24,24,0,0,0,0,0,0,0,0,160,0,
160,0,0,0,160,0,40,48,0,24,48,0,0,0,0,48,24,48,96,
24,96,0,0,0,0,0,96,96,48,0,24,48,48,0,96,96,96,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,20,20,20,20,20,20,
20,20,20,20,12,12,12,12,12,12,0,0,12,12,12,24,12,0,
24,0,0,0,12,12,0,12,0,12,0,12,48,0,0,24,0,0,0,0,0,
0,0,0,24,24,24,0,0,0,0,0,160,0,0,80,160,160,0,80,80,
40,48,0,0,48,24,0,0,0,48,96,48,0,24,96,96,0,0,0,0,
24,0,48,0,24,96,48,96,96,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,20,20,20,20,20,20,20,20,20,
60,60,60,60,60,60,0,0,60,60,60,480,60,240,240,0,4860,
0,60,60,0,60,0,60,0,60,960,960,240,0,0,1620,0,0,0,0,
0,0,4320,720,4320,0,4320,4320,720,20,20,20,20,20,20,20,
20,60,60,60,60,60,60,0,0,60,60,60,240,60,240,0,0,0,0,
60,60,960,60,0,60,240,60,0,0,0,0,0,0,0,0,0,0,0,0,
720,0,4320,0,4320,720,0,20,20,20,20,20,20,20,60,60,60,
60,60,60,0,0,60,60,60,240,60,240,0,0,0,0,60,60,0,60,
0,60,0,60,0,960,0,0,0,0,0,0,0,0,0,0,4320,0,720,0,
720,720,4320,20,20,20,20,20,20,60,60,60,60,60,60,0,0,
60,60,60,0,60,0,0,0,0,0,60,60,0,60,0,60,240,60,960,
0,240,240,0,0,0,0,0,0,0,0,0,720,720,0,720,0,720,20,
20,20,20,20,60,60,60,60,60,60,0,0,60,60,60,0,60,0,0,
0,0,0,60,60,960,60,0,60,240,60,960,960,480,960,0,0,0,
0,0,0,0,0,0,4320,4320,0,720,4320,0,20,20,20,20,60,60,
60,60,60,60,0,0,60,60,60,480,60,0,0,0,0,0,60,60,960,
60,0,60,480,60,480,0,480,480,0,4860,0,0,0,0,0,0,4320,
0,720,0,720,4320,0,20,20,20,60,60,60,60,60,60,0,0,60,
60,60,0,60,240,240,0,1620,0,60,60,0,60,0,60,0,60,0,
960,0,480,0,4860,0,0,0,0,0,0,720,4320,0,0,0,720,4320,
20,20,60,60,60,60,60,60,0,0,60,60,60,0,60,480,960,0,
0,0,60,60,960,60,0,60,0,60,0,0,480,480,0,0,0,0,0,0,
0,0,4320,720,0,0,4320,0,4320,20,60,60,60,60,60,60,0,0,
60,60,60,0,60,480,480,0,4860,0,60,60,0,60,0,60,0,60,
960,0,240,480,0,0,0,0,0,0,0,0,0,4320,4320,0,4320,0,
4320,60,60,60,60,60,60,0,0,60,60,60,0,60,0,0,0,180,0,
60,60,0,60,0,60,0,60,0,0,0,960,0,180,0,0,0,0,0,0,
120,120,120,0,120,120,120,12,12,12,12,12,0,0,12,12,12,
24,12,24,24,0,108,0,12,12,48,12,0,12,24,12,48,48,24,
24,0,108,0,0,0,0,0,0,72,0,72,0,72,72,0,12,12,12,12,
0,0,12,12,12,24,12,48,0,0,108,0,12,12,48,12,0,12,24,
12,48,48,0,0,0,0,0,0,0,0,0,0,72,0,72,0,72,0,72,12,
12,12,0,0,12,12,12,24,12,24,0,0,0,0,12,12,48,12,0,
12,24,12,48,48,0,0,0,0,0,0,0,0,0,0,0,0,72,0,24,24,
24,12,12,0,0,12,12,12,24,12,24,24,0,0,0,12,12,48,12,
0,12,24,12,48,0,24,24,0,0,0,0,0,0,0,0,0,72,72,0,72,
0,72,12,0,0,12,12,12,24,12,0,48,0,0,0,12,12,48,12,0,
12,24,12,48,48,48,24,0,0,0,0,0,0,0,0,24,24,24,0,72,
0,0,0,0,12,12,12,24,12,0,24,0,0,0,12,12,48,12,0,12,
24,12,48,48,24,48,0,108,0,0,0,0,0,0,0,72,72,0,72,72,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,12,12,0,12,0,0,0,0,0,12,12,48,12,0,12,48,
12,0,0,24,24,0,108,0,0,0,0,0,0,0,72,72,0,0,72,72,
12,0,12,0,0,0,0,0,12,12,48,12,0,12,24,12,0,48,24,24,
0,0,0,0,0,0,0,0,0,72,0,0,24,24,24,0,12,24,24,0,108,
0,12,12,0,12,0,12,0,12,48,48,48,48,0,108,0,0,0,0,0,
0,72,0,72,0,0,72,72,0,0,0,0,0,0,24,48,48,24,0,0,24,
0,48,192,96,0,0,216,0,0,0,0,0,0,0,144,0,0,0,144,144,
24,24,0,108,0,12,12,0,12,0,12,0,12,48,48,48,48,0,36,
0,0,0,0,0,0,72,72,72,0,24,24,24,24,0,0,0,24,48,48,
24,0,24,96,24,0,48,96,96,0,432,0,0,0,0,0,0,0,144,
144,0,144,288,0,0,0,0,24,24,48,48,0,24,96,24,0,48,0,
0,0,0,0,0,0,0,0,0,0,0,144,0,144,0,144,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
108,0,432,108,0,36,432,108,0,0,216,432,0,0,0,0,0,0,0,
0,0,72,72,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,12,0,12,0,12,24,12,0,48,
24,24,0,108,0,0,0,0,0,0,72,72,0,0,0,72,72,48,12,0,
12,0,12,48,0,24,24,0,0,0,0,0,0,0,0,24,24,24,0,0,0,
72,48,0,0,48,0,0,192,0,192,0,432,0,0,0,0,0,0,144,
144,0,0,0,288,0,0,12,0,12,0,0,24,24,0,0,0,0,0,0,0,
0,72,72,0,0,72,0,72,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,12,48,48,0,48,0,108,0,0,0,0,0,0,
24,24,24,0,72,72,72,0,48,0,96,0,0,0,0,0,0,0,0,0,
144,144,0,0,288,0,144,48,48,48,0,0,108,0,0,0,0,0,0,
72,72,0,0,72,72,0,0,48,48,0,0,0,0,0,0,0,0,864,288,
0,0,0,144,144,48,48,0,0,0,0,0,0,0,0,0,144,144,0,864,
0,288,24,0,0,0,0,0,0,0,0,144,0,144,0,432,144,288,0,
0,0,0,0,0,0,0,144,0,0,0,144,144,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,72,0,72,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,24,24,0,0,0,0,24,0,0,0,0,0,0,0,0,0,0,0,
24,24,24,0,4,4,8,4,0,0,20,20,20,20,20,20,20,20,20,
20,12,12,12,12,12,12,0,0,12,12,12,0,12,0,0,0,0,0,12,
12,48,12,0,12,0,12,0,48,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,24,24,24,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,4,0,8,
20,20,20,20,20,20,20,20,20,20,12,12,12,12,12,12,48,0,
12,12,12,0,12,0,0,48,0,0,12,12,0,12,0,12,0,12,0,0,
0,0,0,0,0,24,24,0,0,0,0,0,0,24,0,0,0,0,4,0,8,20,
20,20,20,20,20,20,20,20,20,12,12,12,12,12,12,48,0,12,
12,12,0,12,0,0,48,0,0,12,12,0,12,0,12,0,12,0,0,0,0,
0,0,0,24,24,0,0,0,0,0,0,24,0,0,0,0,0,0,0,160,160,
160,0,0,0,0,0,40,48,0,24,48,96,0,96,48,48,24,48,0,
24,0,0,96,0,0,0,0,96,48,0,24,0,48,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,20,20,20,20,20,20,20,20,
20,20,12,12,12,12,12,12,24,24,12,12,12,0,12,0,0,24,0,
0,12,12,24,12,0,12,0,12,24,24,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,160,0,160,0,0,0,
160,0,40,0,48,0,48,24,48,0,0,0,96,48,0,24,0,0,96,0,
0,48,24,96,0,0,24,0,48,48,96,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,20,20,20,20,20,20,20,20,20,60,60,60,
60,60,60,0,0,60,60,60,0,60,0,0,0,0,0,60,60,240,60,
4860,60,0,60,0,480,0,0,0,0,0,0,720,0,0,0,0,0,0,4320,
4320,4320,720,20,20,20,20,20,20,20,20,60,60,60,60,60,
60,0,240,60,60,60,0,60,0,0,240,0,0,60,60,480,60,0,60,
0,60,240,240,0,0,4860,0,1620,720,0,0,0,0,0,0,0,720,
4320,720,0,20,20,20,20,20,20,20,60,60,60,60,60,60,0,0,
60,60,60,0,60,0,0,0,0,0,60,60,480,60,1620,60,0,60,0,
240,0,0,1620,0,0,0,4320,0,0,0,0,0,0,720,720,4320,0,
20,20,20,20,20,20,60,60,60,60,60,60,240,240,60,60,60,
0,60,0,0,480,0,4860,60,60,240,60,1620,60,0,60,240,0,0,
0,0,0,0,4320,720,0,0,0,0,0,0,0,720,0,720,20,20,20,
20,20,60,60,60,60,60,60,0,240,60,60,60,0,60,0,0,240,
0,0,60,60,240,60,1620,60,0,60,240,0,0,0,0,0,1620,4320,
0,0,0,0,0,0,0,4320,4320,0,4320,20,20,20,20,60,60,60,
60,60,60,0,0,60,60,60,0,60,0,0,480,0,0,60,60,240,60,
0,60,0,60,480,480,0,0,0,0,4860,4320,0,0,0,0,0,0,0,
4320,720,4320,0,20,20,20,60,60,60,60,60,60,480,0,60,60,
60,0,60,0,0,240,0,0,60,60,0,60,0,60,0,60,0,0,0,0,0,
0,4860,4320,4320,0,0,0,0,0,0,720,0,720,4320,20,20,60,
60,60,60,60,60,240,0,60,60,60,0,60,0,0,480,0,1620,60,
60,0,60,0,60,0,60,0,0,0,0,0,0,1620,720,4320,0,0,0,0,
0,0,0,0,4320,720,20,60,60,60,60,60,60,480,480,60,60,
60,0,60,0,0,240,0,0,60,60,480,60,4860,60,0,60,0,0,0,
0,0,0,0,720,4320,0,0,0,0,0,0,0,4320,0,4320,60,60,60,
60,60,60,0,0,60,60,60,0,60,0,0,960,0,180,60,60,960,
60,180,60,0,60,0,0,0,0,180,0,180,120,120,0,0,0,0,0,
0,120,120,120,120,12,12,12,12,12,0,0,12,12,12,0,12,0,
0,0,0,0,12,12,0,12,108,12,0,12,24,24,0,0,108,0,0,0,
72,0,0,0,0,0,0,72,72,72,0,12,12,12,12,24,24,12,12,
12,0,12,0,0,24,0,0,12,12,24,12,108,12,0,12,24,24,0,
0,108,0,108,0,72,0,0,0,0,0,0,72,72,0,72,12,12,12,0,
0,12,12,12,0,12,0,0,0,0,0,12,12,24,12,0,12,0,12,24,
24,0,0,36,0,0,0,72,0,0,0,0,0,0,0,24,24,24,12,12,0,
48,12,12,12,0,12,0,0,24,0,108,12,12,24,12,108,12,0,
12,48,0,0,0,108,0,108,72,0,0,0,0,0,0,0,72,72,0,72,
12,48,0,12,12,12,0,12,0,0,24,0,0,12,12,24,12,36,12,
0,12,24,0,0,0,0,0,108,24,24,0,0,0,0,0,0,24,0,0,72,
24,24,12,12,12,0,12,0,0,0,0,108,12,12,48,12,108,12,0,
12,0,0,0,0,108,0,0,72,0,0,0,0,0,0,0,72,72,72,0,24,
24,0,24,0,24,0,0,0,0,0,24,24,0,0,432,0,0,24,96,0,0,
0,216,0,0,0,0,0,0,0,0,0,0,144,144,0,144,24,24,0,0,
24,0,0,0,0,0,24,24,0,0,216,0,0,24,48,96,0,0,0,0,0,
0,144,0,0,0,0,0,0,144,432,288,144,12,12,0,12,0,0,24,
0,108,12,12,24,12,108,12,0,12,24,24,0,0,0,0,108,72,0,
0,0,0,0,0,0,72,0,72,72,12,0,12,0,0,24,0,0,12,12,24,
12,108,12,0,12,0,48,0,0,0,0,36,0,0,0,0,0,0,0,0,72,
24,24,24,0,12,0,0,24,0,0,12,12,24,12,108,12,0,12,0,
24,0,0,0,0,108,0,72,0,0,0,0,0,0,72,0,72,72,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,108,12,12,48,12,108,12,0,12,0,
0,0,0,36,0,36,72,72,0,0,0,0,0,0,72,24,24,24,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,24,24,48,0,48,0,24,0,0,
0,0,0,0,0,0,144,0,0,0,0,0,0,0,144,144,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
108,36,0,108,36,36,0,108,0,216,0,0,0,0,0,0,72,0,0,0,
0,0,0,72,0,0,0,12,0,12,0,12,0,12,0,0,0,0,0,0,108,
72,72,0,0,0,0,0,0,0,0,72,72,0,12,0,12,0,12,0,0,0,
0,0,0,0,24,24,0,0,0,0,0,0,24,0,72,0,0,0,0,0,24,0,
0,0,0,0,0,0,144,144,0,0,0,0,0,0,0,0,144,0,0,12,0,
12,24,24,0,0,108,0,108,72,72,0,0,0,0,0,0,0,72,0,72,
36,0,0,0,0,0,0,0,0,0,72,72,0,0,0,0,0,0,0,0,0,0,0,
12,24,24,0,0,108,0,108,24,24,0,0,0,0,0,0,24,72,72,
72,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,24,24,
0,0,108,0,0,72,72,0,0,0,0,0,0,0,72,72,0,24,0,0,0,
0,216,432,288,0,0,0,0,0,0,144,0,144,144,0,0,0,0,432,
144,0,0,0,0,0,0,0,144,0,0,144,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,36,
0,0,0,0,0,0,0,0,0,0,72,72,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,72,72,0,24,0,0,0,0,0,0,24,
0,0,0,0,0,0,0,0,0,24,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,24,24,24,8,8,8,8,0,0,0,0,40,0,40,
80,160,40,0,40,0,0,24,0,24,0,0,48,0,24,0,0,24,48,0,
0,0,0,48,24,0,0,0,24,48,0,0,48,48,0,0,0,0,0,0,0,0,
0,0,0,0,0,24,24,24,4,0,4,0,0,20,20,20,20,20,20,20,
20,20,20,12,12,12,12,12,12,0,48,12,12,12,0,12,24,0,0,
0,0,12,12,0,12,0,12,24,12,0,0,24,0,0,0,0,0,0,24,24,
24,0,0,0,0,0,0,0,8,4,8,8,20,20,20,20,20,20,20,20,
20,20,12,12,12,12,12,12,0,48,12,12,12,0,12,0,0,0,12,
12,12,12,0,12,12,12,0,12,48,0,0,0,12,12,12,24,24,24,
24,24,24,24,24,24,24,24,24,0,0,0,0,0,40,0,40,0,0,40,
0,40,48,0,24,0,24,0,0,0,0,24,0,0,24,48,0,0,0,0,0,
24,48,0,0,24,0,0,0,48,0,0,0,0,0,0,0,24,24,24,0,0,
0,0,0,0,0,0,0,20,20,20,20,20,20,20,20,20,20,12,12,
12,12,12,12,0,48,12,12,12,0,12,24,0,0,0,0,12,12,0,
12,0,12,24,12,0,0,24,0,0,0,0,0,0,24,24,24,0,0,0,0,
0,0,0,4,0,0,20,80,20,0,0,20,0,20,0,0,12,24,12,0,0,
0,0,12,24,0,12,0,0,0,0,0,0,12,0,0,0,12,48,24,24,48,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,80,20,0,
0,20,0,20,0,0,12,24,12,0,0,0,0,12,24,0,12,0,0,0,0,
0,0,12,0,0,0,12,48,24,24,48,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,20,20,20,20,20,20,20,20,20,60,60,60,60,
60,60,0,0,60,60,60,0,60,480,0,0,1620,0,60,60,480,60,
1620,60,240,60,0,240,0,0,0,0,0,0,2160,0,0,0,2160,0,0,
0,4320,4320,0,20,20,20,20,20,20,20,20,60,60,60,60,60,
60,0,0,60,60,60,0,60,0,0,0,0,0,60,60,240,60,0,60,
480,60,0,240,0,0,0,0,0,0,0,0,0,0,0,0,2160,2160,4320,
0,0,20,20,20,20,20,20,20,60,60,60,60,60,60,0,0,60,60,
60,0,60,240,0,0,60,60,60,60,240,60,60,60,240,60,240,
240,0,0,60,60,60,60,60,120,120,120,60,60,60,60,120,120,
120,20,20,20,20,20,20,60,60,60,60,60,60,0,480,60,60,
60,0,60,0,0,0,0,1620,60,60,240,60,1620,60,0,60,480,0,
480,0,0,0,0,2160,0,0,0,0,0,2160,0,0,0,0,0,20,20,20,
20,20,60,60,60,60,60,60,0,240,60,60,60,0,60,0,0,0,60,
60,60,60,240,60,60,60,240,60,240,240,240,0,60,60,60,60,
60,120,120,120,60,60,60,60,120,120,120,20,20,20,20,60,
60,60,60,60,60,0,240,60,60,60,0,60,240,0,0,0,0,60,60,
240,60,0,60,480,60,0,0,0,0,0,1620,1620,0,0,0,0,0,0,
0,2160,2160,4320,0,0,20,20,20,60,60,60,60,60,60,0,240,
60,60,60,0,60,480,0,0,1620,0,60,60,0,60,0,60,0,60,0,
240,240,0,0,0,0,0,2160,0,0,0,2160,0,0,0,0,0,4320,20,
20,60,60,60,60,60,60,0,240,60,60,60,0,60,240,0,0,60,
60,60,60,240,60,60,60,0,60,0,0,240,0,60,60,60,60,60,
120,120,120,60,60,60,60,120,120,120,20,60,60,60,60,60,
60,0,480,60,60,60,0,60,0,0,0,0,0,60,60,0,60,0,60,
240,60,0,240,240,0,0,0,0,2160,0,0,720,0,0,2160,0,0,0,
0,0,60,60,60,60,60,60,0,240,60,60,60,0,60,240,0,0,60,
60,60,60,240,60,60,60,240,60,0,0,0,0,60,60,60,60,60,
120,120,120,60,60,60,60,120,120,120,12,12,12,12,12,0,0,
12,12,12,0,12,24,0,0,36,0,12,12,24,12,36,12,24,12,24,
24,0,0,108,0,0,0,36,0,0,72,36,0,36,36,0,72,0,12,12,
12,12,0,0,12,12,12,0,12,24,0,0,36,0,12,12,24,12,36,
12,24,12,24,24,0,0,0,0,0,0,36,0,0,72,36,0,36,36,0,
0,72,12,12,12,0,24,12,12,12,0,12,24,0,0,36,36,12,12,
24,12,36,12,24,12,0,24,24,0,12,12,12,36,36,24,24,24,
36,36,36,36,24,24,24,12,12,0,24,12,12,12,0,12,0,0,0,
0,36,12,12,24,12,36,12,24,12,24,0,24,0,108,0,108,36,
0,0,72,0,0,36,36,36,72,0,0,12,0,0,12,12,12,0,12,0,
0,0,12,12,12,12,24,12,12,12,24,12,24,24,24,0,36,36,
36,12,12,72,72,72,12,12,12,12,72,72,72,0,24,12,12,12,
0,12,0,0,0,0,36,12,12,24,12,36,12,24,12,24,0,24,0,0,
108,0,36,0,72,0,0,0,36,36,36,72,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,24,24,0,0,24,0,0,0,72,0,24,24,48,24,
72,24,24,24,48,48,24,0,0,0,0,0,72,0,0,432,72,0,72,
72,144,144,144,12,12,0,12,0,0,0,0,36,12,12,24,12,36,
12,24,12,24,24,24,0,0,108,0,36,0,0,72,0,0,36,36,36,
0,72,0,12,0,12,24,0,0,36,36,12,12,24,12,36,12,24,12,
0,24,24,0,12,12,12,36,36,24,24,24,36,36,36,36,24,24,
24,0,12,24,0,0,36,0,12,12,24,12,36,12,24,12,24,24,24,
0,0,0,108,0,36,72,0,0,36,0,36,36,0,0,72,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,24,0,0,36,36,12,12,24,12,36,12,24,12,0,24,
24,0,12,12,12,36,36,24,24,24,36,36,36,36,24,24,24,0,
0,0,72,24,24,24,24,72,24,48,24,48,24,48,0,0,432,432,
72,0,0,432,0,0,72,72,72,144,144,144,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,12,36,12,72,36,12,12,72,36,72,0,72,0,0,0,0,12,
0,0,0,0,0,12,12,12,0,0,0,36,12,72,36,12,12,72,36,72,
72,0,0,0,0,0,0,12,0,0,0,12,0,12,12,0,0,0,12,0,12,
0,12,0,12,0,24,24,0,0,0,108,36,36,72,0,0,36,36,0,0,
0,0,72,24,12,12,12,0,12,24,0,24,0,36,36,36,12,12,72,
72,72,12,12,12,12,72,72,72,0,0,0,24,0,0,48,0,0,0,0,
0,72,72,144,144,144,72,72,0,0,0,0,432,0,12,0,12,0,24,
24,0,0,0,0,36,36,0,0,72,36,36,0,0,0,0,72,12,0,0,0,
72,72,0,0,0,0,12,12,0,0,0,12,12,0,0,0,0,0,24,12,24,
24,0,0,36,36,36,12,12,72,72,72,12,12,12,12,72,72,72,
0,0,0,48,0,0,0,0,72,72,432,0,0,72,72,0,0,144,144,
144,0,24,24,0,108,0,0,36,36,0,0,72,36,36,0,0,0,72,0,
24,24,0,0,0,0,72,72,0,0,0,72,72,0,0,0,0,0,24,0,0,
0,432,72,0,144,144,144,0,72,72,72,0,0,0,0,432,0,0,0,
72,0,0,0,72,0,72,72,144,144,144,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,12,12,0,0,24,0,0,0,0,0,0,0,0,24,12,0,
0,0,0,24,0,0,0,0,0,0,24,0,0,0,0,24,0,0,0,0,0,24,
0,12,0,0,0,12,12,12,12,0,0,0,0,0,0,12,12,12,12,0,0,
0,24,24,0,0,0,0,24,24,24,24,0,0,0,0,24,24,24,0,0,0,
0,24,24,24,12,12,12,0,0,0,12,12,0,0,0,12,0,0,0,0,0,
0,24,24,24,0,0,8,0,0,0,80,80,0,160,80,160,0,160,40,
0,48,24,48,96,48,96,96,0,24,48,0,24,96,96,0,0,0,48,
0,0,0,0,24,0,48,0,0,0,96,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,4,0,0,0,0,80,20,0,20,0,0,20,0,20,0,0,12,24,
12,0,48,24,0,12,24,0,12,0,0,0,0,0,0,12,0,0,0,12,0,
24,0,0,0,48,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,80,20,0,20,0,0,20,0,20,0,0,12,24,12,0,48,24,0,12,
24,0,12,0,0,0,0,0,0,12,0,0,0,12,0,24,0,0,0,48,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,80,160,0,0,80,160,
0,160,40,0,48,24,48,0,48,96,0,0,24,48,0,24,0,96,0,0,
0,48,96,0,0,0,24,96,48,96,48,96,96,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,80,80,0,0,480,0,480,240,480,0,480,
0,0,480,0,0,480,0,0,0,0,480,480,480,0,0,0,0,0,3840,
480,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2160,360,0,0,20,0,
80,20,80,20,0,0,60,240,60,240,0,0,0,60,0,0,60,240,0,
0,0,0,240,60,0,0,0,60,0,0,0,480,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,20,0,240,60,0,60,0,
0,240,0,60,240,0,60,0,0,0,0,0,240,60,240,0,0,60,240,
0,960,240,240,960,0,0,0,0,0,0,0,0,0,0,0,0,0,180,0,
80,40,0,80,0,480,480,480,0,1920,0,0,0,480,1920,0,0,0,
0,0,0,0,480,240,960,0,0,480,1920,480,960,480,480,480,0,
0,0,0,0,0,0,0,0,0,0,0,360,2160,0,0,0,80,0,960,0,
1920,480,3840,30720,960,0,960,480,0,480,480,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
720,2160,80,20,0,480,60,240,60,0,960,240,0,60,0,0,60,
240,0,0,0,0,0,60,480,0,0,60,0,0,0,0,0,3840,0,0,0,0,
0,0,0,0,0,0,0,0,0,540,540,0,0,960,480,480,0,1920,0,
1920,0,480,480,0,0,1920,960,0,0,0,480,1920,0,0,0,480,
0,1920,960,960,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
2160,0,0,60,0,60,480,0,240,0,60,0,0,60,240,0,0,0,0,
0,60,0,0,0,60,240,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,60,60,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,24,24,48,48,48,0,24,24,0,24,24,0,0,0,0,48,24,
24,0,0,0,0,0,96,48,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
72,0,72,24,12,24,0,24,0,12,24,0,12,24,0,0,0,0,24,12,
0,0,0,12,24,0,48,24,24,0,0,0,0,0,0,0,0,0,0,0,0,0,
12,12,12,24,24,0,24,0,0,48,0,24,48,48,0,0,0,0,0,24,
0,0,24,24,48,0,0,48,96,0,0,0,0,0,0,0,0,0,0,0,0,72,
0,72,0,48,0,0,12,0,0,12,0,48,0,0,0,24,12,24,0,0,12,
24,24,48,24,24,48,0,0,0,0,0,0,0,0,0,0,0,0,0,36,0,
48,24,0,24,0,0,0,0,96,0,0,0,48,24,48,0,0,24,24,24,
96,48,48,48,0,0,0,0,0,0,0,0,0,0,0,0,72,72,0,48,0,
0,96,0,48,96,0,0,0,0,0,0,48,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,144,0,144,0,24,0,0,24,0,96,
0,0,0,48,24,48,0,0,24,24,24,96,48,24,48,0,0,0,0,0,
0,0,0,0,0,0,0,0,72,72,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
24,0,12,24,0,0,0,0,0,12,24,0,0,12,24,24,0,0,24,48,
0,0,0,0,0,0,0,0,0,0,0,0,12,12,12,0,0,24,48,0,0,0,
24,24,24,0,0,24,48,48,48,24,48,96,0,0,0,0,0,0,0,0,
0,0,0,0,0,72,72,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,24,48,0,0,0,24,
12,24,0,0,12,24,24,48,24,24,48,0,0,0,0,0,0,0,0,0,0,
0,0,12,12,12,48,0,0,0,24,24,24,0,0,24,48,48,48,48,
48,96,0,0,0,0,0,0,0,0,0,0,0,0,72,72,0,0,0,0,0,48,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,144,
0,144,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,24,0,24,0,
24,24,48,0,0,0,0,0,0,0,0,0,0,0,0,0,72,72,24,0,0,
12,0,24,0,0,24,48,0,0,0,0,0,0,0,0,0,0,0,0,0,0,36,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
72,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
24,0,48,24,0,0,0,0,0,0,0,0,0,0,0,0,0,0,36,36,36,0,
0,0,48,0,0,0,0,0,0,0,0,0,0,0,0,0,0,72,72,48,24,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,72,72,0,0,48,48,0,0,0,
0,0,0,0,0,0,0,0,0,0,144,144,24,48,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,72,0,0,0,0,0,0,0,0,0,0,0,0,0,72,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,144,144,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
12,12,12,0,4,0,8,20,20,20,20,20,20,20,20,20,20,12,12,
12,12,12,12,48,0,12,12,12,0,12,0,0,48,0,0,12,12,0,
12,0,12,0,12,0,0,0,0,0,0,0,24,24,0,0,0,0,0,0,24,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,20,20,20,20,20,20,
20,20,20,12,12,12,12,12,12,0,48,12,12,12,0,12,24,0,0,
0,0,12,12,0,12,0,12,24,12,0,0,24,0,0,0,0,0,0,24,24,
24,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,160,160,160,0,
0,0,0,0,40,0,48,96,48,24,48,96,0,0,0,48,96,24,0,96,
96,0,0,48,24,0,0,0,24,96,48,0,0,96,48,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,20,20,20,20,20,20,20,20,20,60,60,
60,60,60,60,960,0,60,60,60,0,60,240,240,0,4860,0,60,
60,0,60,0,60,480,60,0,0,0,0,0,1620,0,0,720,720,0,
4320,0,0,0,4320,0,0,0,20,20,20,20,20,20,20,20,60,60,
60,60,60,60,0,960,60,60,60,240,60,0,0,0,0,0,60,60,0,
60,0,60,240,60,0,0,0,240,0,0,0,720,0,0,720,720,0,0,
0,720,0,0,0,20,20,20,20,20,20,20,60,60,60,60,60,60,0,
0,60,60,60,480,60,960,480,960,0,0,60,60,0,60,0,60,480,
60,0,0,0,0,0,0,0,4320,0,4320,0,720,0,0,0,4320,0,0,0,
20,20,20,20,20,20,60,60,60,60,60,60,0,0,60,60,60,0,
60,0,240,960,0,0,60,60,0,60,0,60,0,60,0,0,240,240,0,
0,0,4320,720,720,4320,0,0,0,0,0,0,0,0,20,20,20,20,20,
60,60,60,60,60,60,960,960,60,60,60,480,60,0,0,960,0,0,
60,60,0,60,0,60,960,60,0,0,0,240,0,0,0,720,4320,0,
4320,4320,0,0,0,0,0,0,0,20,20,20,20,60,60,60,60,60,
60,0,960,60,60,60,240,60,480,480,0,0,0,60,60,0,60,0,
60,480,60,0,0,0,0,0,4860,0,4320,0,0,4320,4320,0,0,0,
4320,0,0,0,20,20,20,60,60,60,60,60,60,960,960,60,60,
60,240,60,240,240,0,1620,0,60,60,0,60,0,60,0,60,0,0,
480,0,0,4860,0,4320,4320,4320,4320,720,0,0,0,720,0,0,0,
20,20,60,60,60,60,60,60,960,0,60,60,60,0,60,0,240,0,
0,0,60,60,0,60,0,60,0,60,0,0,240,0,0,0,0,720,720,
4320,720,0,0,0,0,4320,0,0,0,20,60,60,60,60,60,60,0,
480,60,60,60,480,60,0,0,960,4860,0,60,60,0,60,0,60,
480,60,0,0,480,480,0,0,0,720,4320,4320,720,0,0,0,0,0,
0,0,0,60,60,60,60,60,60,0,0,60,60,60,0,60,0,0,0,180,
0,60,60,0,60,0,60,960,60,0,0,0,0,0,180,0,120,120,120,
120,120,0,0,0,120,0,0,0,12,12,12,12,12,48,0,12,12,12,
24,12,24,24,0,108,0,12,12,0,12,0,12,24,12,0,0,24,24,
0,108,0,0,72,72,0,72,0,0,0,72,0,0,0,12,12,12,12,0,
0,12,12,12,24,12,0,0,48,108,0,12,12,0,12,0,12,24,12,
0,0,0,48,0,0,0,0,72,0,72,72,0,0,0,72,0,0,0,12,12,
12,0,48,12,12,12,24,12,24,48,48,0,0,12,12,0,12,0,12,
24,12,0,0,48,0,0,0,0,0,0,24,24,24,0,0,0,72,0,0,0,
12,12,0,48,12,12,12,24,12,24,24,48,0,0,12,12,0,12,0,
12,24,12,0,0,24,24,0,0,0,72,0,0,72,72,0,0,0,72,0,0,
0,12,48,0,12,12,12,24,12,0,0,48,0,0,12,12,0,12,0,12,
24,12,0,0,0,24,0,0,0,24,24,0,0,72,0,0,0,24,0,0,0,
0,0,12,12,12,24,12,48,24,48,0,0,12,12,0,12,0,12,24,
12,0,0,24,0,0,108,0,72,0,72,0,72,0,0,0,72,0,0,0,0,
48,48,48,48,48,48,48,192,0,0,48,48,0,48,0,48,48,48,0,
0,192,0,0,0,0,864,0,0,144,144,0,0,0,288,0,0,0,48,48,
48,48,48,0,0,0,0,0,48,48,0,48,0,48,48,48,0,0,48,48,
0,0,0,0,144,864,0,288,0,0,0,144,0,0,0,12,12,0,12,0,
48,48,0,0,12,12,0,12,0,12,0,12,0,0,24,24,0,108,0,72,
0,72,72,0,0,0,0,72,0,0,0,12,48,12,48,0,48,0,0,12,
12,0,12,0,12,24,12,0,0,24,24,0,0,0,72,0,24,24,24,0,
0,0,0,0,0,0,48,12,24,24,0,108,0,12,12,0,12,0,12,48,
12,0,0,0,0,0,108,0,0,72,72,72,0,0,0,0,72,0,0,0,0,
0,96,0,0,0,24,0,0,24,0,48,24,48,0,0,96,96,0,216,0,
432,144,144,144,0,0,0,0,288,0,0,0,24,24,0,108,0,12,
12,0,12,0,12,48,12,0,0,0,0,0,36,0,72,72,24,24,24,0,
0,0,72,0,0,0,24,48,0,0,24,0,0,24,0,24,0,24,0,0,0,
96,0,0,0,144,0,0,144,0,0,0,0,144,0,0,0,48,432,0,24,
24,0,0,0,24,96,24,0,0,0,96,0,0,0,144,288,0,144,144,
0,0,0,0,0,0,0,432,0,48,48,0,48,0,0,192,0,0,0,48,48,
0,432,0,0,288,144,0,144,0,0,0,0,0,0,0,0,108,0,0,108,
0,36,0,108,0,0,216,0,0,0,0,72,0,0,0,0,0,0,0,72,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,12,0,12,0,12,24,12,0,0,24,24,0,108,0,72,
72,72,72,0,0,0,0,0,0,0,0,0,12,0,12,0,12,0,0,24,24,
0,0,0,24,24,0,72,0,0,0,0,24,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,48,12,0,0,
24,24,0,0,0,72,72,0,72,72,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,48,12,0,0,0,0,
0,108,0,24,24,72,72,72,0,0,0,24,0,0,0,0,0,0,0,0,0,
432,0,144,144,144,0,0,0,0,0,0,0,0,0,0,0,0,0,0,108,
0,72,72,72,0,72,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,24,0,0,0,0,144,0,0,144,0,0,0,144,0,0,0,0,432,0,
288,0,144,0,144,0,0,0,144,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,72,72,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,24,0,0,0,0,0,0,24,0,0,0,0,0,0,0,0,
0,24,0,0,0,24,24,0,0,0,0,0,0,0,24,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,80,20,0,20,0,0,20,0,20,0,0,12,24,
12,0,48,24,0,12,24,0,12,0,0,0,0,0,0,12,0,0,0,12,0,
24,0,0,0,48,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,20,
20,20,20,20,20,20,20,20,20,12,12,12,12,12,12,0,0,12,
12,12,24,12,0,24,0,0,0,12,12,0,12,0,12,0,12,48,0,0,
24,0,0,0,0,0,0,0,0,24,24,24,0,0,0,0,8,160,0,40,0,
40,0,0,40,80,40,48,0,24,0,24,0,48,0,0,24,0,48,24,0,
48,0,0,0,0,24,0,0,0,24,0,0,48,0,0,48,0,0,0,24,24,
0,0,0,0,0,0,24,0,0,0,0,0,40,0,40,0,0,40,0,40,0,0,
24,0,24,0,48,0,0,24,0,0,24,0,48,48,0,0,48,24,0,0,0,
24,0,0,0,0,0,0,0,0,0,0,0,0,0,0,24,24,24,0,0,0,0,
20,20,20,20,20,20,20,20,20,60,60,60,60,60,60,240,0,60,
60,60,240,60,0,480,0,0,0,60,60,0,60,0,60,0,60,240,0,
0,0,0,1620,0,0,0,2160,0,0,0,0,0,4320,0,2160,0,20,20,
20,20,20,20,20,20,60,60,60,60,60,60,0,480,60,60,60,
480,60,0,0,240,0,0,60,60,0,60,0,60,0,60,480,0,0,0,
1620,0,1620,0,0,0,0,2160,0,0,0,0,2160,0,0,20,20,20,
20,20,20,20,60,60,60,60,60,60,0,0,60,60,60,240,60,0,
240,240,60,60,60,60,0,60,60,60,0,60,240,0,0,0,60,60,
60,120,120,60,60,60,120,120,120,120,60,60,60,20,20,20,
20,20,20,60,60,60,60,60,60,240,0,60,60,60,0,60,0,0,
240,0,0,60,60,0,60,0,60,0,60,0,0,0,480,0,0,0,4320,0,
0,2160,0,0,0,0,0,0,0,2160,20,20,20,20,20,60,60,60,60,
60,60,240,240,60,60,60,240,60,0,0,240,60,60,60,60,0,
60,60,60,0,60,240,0,0,240,60,60,60,120,120,60,60,60,
120,120,120,120,60,60,60,20,20,20,20,60,60,60,60,60,60,
240,0,60,60,60,240,60,0,0,0,0,0,60,60,0,60,0,60,0,
60,480,0,0,240,0,0,0,0,0,0,0,2160,0,0,720,0,2160,0,
0,20,20,20,60,60,60,60,60,60,240,0,60,60,60,0,60,0,
480,480,0,0,60,60,0,60,0,60,0,60,0,0,0,240,0,1620,
1620,4320,4320,2160,0,0,0,0,0,0,0,2160,0,20,20,60,60,
60,60,60,60,240,240,60,60,60,0,60,0,240,240,60,60,60,
60,0,60,60,60,0,60,0,0,0,240,60,60,60,120,120,60,60,
60,120,120,120,120,60,60,60,20,60,60,60,60,60,60,0,0,
60,60,60,0,60,0,240,240,1620,0,60,60,0,60,1620,60,0,
60,240,0,0,480,0,0,0,4320,0,0,2160,0,0,0,0,0,0,0,
2160,60,60,60,60,60,60,0,0,60,60,60,0,60,0,240,240,60,
60,60,60,0,60,60,60,0,60,240,0,0,240,60,60,60,120,120,
60,60,60,120,120,120,120,60,60,60,12,12,12,12,12,24,0,
12,12,12,24,12,0,24,0,0,0,12,12,0,12,108,12,0,12,24,
0,0,0,36,36,0,0,0,36,0,36,72,0,0,72,36,36,0,12,12,
12,12,24,24,12,12,12,24,12,0,0,24,108,0,12,12,0,12,0,
12,0,12,24,0,0,24,36,0,36,0,72,0,36,36,0,0,72,0,36,
0,36,12,12,12,0,24,12,12,12,24,12,0,24,24,36,36,12,
12,0,12,36,12,0,12,24,0,0,0,12,12,12,72,72,12,12,12,
72,72,72,72,12,12,12,12,12,0,24,12,12,12,24,12,0,0,
24,0,108,12,12,0,12,108,12,0,12,24,0,0,24,36,0,36,72,
0,0,36,36,0,0,72,0,36,0,36,12,24,0,12,12,12,24,12,0,
24,24,12,12,12,12,0,12,12,12,0,12,24,0,0,24,36,36,36,
24,24,36,36,36,24,24,24,24,36,36,36,24,0,12,12,12,24,
12,0,24,0,0,0,12,12,0,12,0,12,0,12,24,0,0,0,36,36,
0,0,0,36,0,36,0,72,0,72,36,36,0,24,24,24,24,24,24,0,
24,48,0,0,24,24,0,0,432,24,0,24,48,0,0,0,72,0,72,0,
0,0,72,72,144,144,144,0,72,0,72,24,24,24,24,24,0,48,
0,0,0,24,0,0,24,0,0,0,0,48,0,0,0,72,72,0,0,0,72,0,
72,0,0,0,0,72,72,0,12,12,0,12,0,24,24,0,0,12,12,0,
12,0,12,0,12,0,0,0,24,0,36,36,0,0,36,36,0,0,72,0,
72,0,36,36,12,24,12,0,0,24,36,36,12,12,0,12,36,12,0,
12,0,0,0,24,12,12,12,72,72,12,12,12,72,72,72,72,12,
12,12,24,12,0,24,24,0,0,12,12,0,12,108,12,0,12,0,0,
0,24,0,36,36,0,0,36,36,0,72,0,0,72,0,36,36,0,0,48,
0,0,432,0,24,0,24,0,24,0,24,24,0,0,48,0,72,72,144,
144,72,72,0,0,0,0,144,0,72,72,0,24,0,36,36,12,12,0,
12,36,12,0,12,24,0,0,24,12,12,12,72,72,12,12,12,72,
72,72,72,12,12,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,24,432,0,24,24,0,0,
432,24,0,24,0,0,0,48,72,0,72,144,144,0,72,72,0,0,432,
144,72,0,72,0,0,24,24,0,24,0,24,0,0,48,0,0,24,72,72,
0,0,0,72,0,72,144,144,144,432,72,72,0,12,0,12,0,108,
12,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,24,0,24,0,0,
0,108,12,0,0,12,12,0,108,0,0,0,0,0,0,0,0,0,0,0,0,
24,0,0,24,0,0,0,12,0,12,0,12,0,12,0,0,0,24,0,36,36,
0,72,36,36,0,0,72,0,0,0,36,36,0,12,12,12,0,12,24,0,
0,24,36,36,36,24,24,36,36,36,24,24,24,24,36,36,36,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
12,0,12,24,0,0,24,36,0,36,72,0,0,36,36,72,0,0,0,36,
0,36,12,0,0,0,0,0,0,0,0,0,0,24,0,0,0,0,24,0,0,0,
0,0,0,12,24,0,0,24,36,36,36,24,24,36,36,36,24,24,24,
24,36,36,36,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,24,0,0,0,36,36,0,0,72,36,0,36,0,72,0,0,36,36,0,
0,0,24,0,72,72,144,144,72,72,0,0,432,0,144,0,72,72,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,72,72,0,144,144,72,0,72,432,0,0,144,
72,72,0,12,12,0,0,12,12,0,0,0,0,0,0,12,12,12,0,0,0,
12,12,0,0,0,0,12,0,12,0,0,12,0,12,0,0,0,0,12,12,0,
24,0,0,0,24,24,24,24,0,0,0,0,0,0,24,24,24,24,0,0,0,
12,12,0,0,0,0,12,12,12,12,0,0,0,0,12,12,12,0,0,0,0,
12,12,12,24,24,24,0,0,0,24,24,0,0,0,24,0,0,0,0,0,0,
12,12,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,80,80,0,0,0,0,80,1920,0,960,
0,0,0,0,0,480,1920,960,7680,480,1920,0,0,0,0,0,480,
960,960,0,1920,480,960,0,1920,0,0,0,0,0,0,0,0,720,720,
0,0,0,0,0,0,0,0,20,0,0,20,0,20,240,0,60,0,60,0,0,
0,240,60,960,960,60,240,0,3840,0,0,0,60,240,0,0,60,
240,0,0,240,0,0,0,0,0,0,0,0,540,0,0,0,0,0,0,0,0,
80,0,0,0,0,80,960,0,0,480,480,0,7680,480,0,1920,960,0,
0,0,0,7680,0,0,0,0,480,960,0,1920,0,0,0,0,1920,0,0,
0,0,0,0,720,0,0,0,0,0,0,0,0,0,0,0,20,0,20,0,0,60,
480,60,0,0,480,480,60,0,0,60,0,0,0,0,0,0,60,240,0,0,
60,480,480,0,240,0,1920,0,0,0,0,0,540,0,540,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,20,480,0,60,240,60,0,960,240,0,60,0,0,60,
480,0,3840,0,0,0,60,240,960,0,60,0,0,0,0,0,3840,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,240,0,60,0,60,0,0,0,0,60,0,
0,60,240,0,0,0,0,0,60,240,0,0,60,0,480,0,0,0,7680,0,
0,0,0,0,60,60,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,48,
24,24,96,24,24,0,0,0,0,0,24,24,48,0,24,48,24,0,0,48,
48,0,0,0,0,0,72,0,72,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,12,0,0,0,24,12,24,48,12,
0,0,0,0,0,0,12,24,24,0,12,24,24,0,24,24,0,0,0,0,0,
0,12,12,12,0,0,0,0,0,0,0,0,0,0,24,24,24,48,48,24,0,
0,0,0,0,0,24,48,24,0,24,24,48,0,0,24,0,0,0,0,0,0,
0,72,72,0,0,0,0,0,0,0,0,0,0,24,12,24,48,12,0,0,0,
0,0,0,12,24,24,0,12,24,24,0,24,24,48,0,0,0,0,0,0,0,
36,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,48,48,96,48,48,0,0,0,0,0,0,48,96,48,0,48,48,96,0,
0,48,0,0,0,0,0,0,0,144,144,0,0,0,0,0,0,0,24,24,48,
48,24,0,0,0,0,0,0,24,48,24,0,24,24,48,0,0,0,0,0,0,
0,0,0,0,0,72,0,0,0,0,0,0,0,24,24,0,0,0,0,0,0,0,0,
0,24,48,0,24,24,0,0,0,48,0,0,0,0,0,0,72,72,0,0,0,
0,0,0,0,0,0,48,12,24,0,48,0,0,0,12,24,0,0,12,24,24,
0,24,0,48,0,0,0,0,0,12,12,12,0,0,0,0,0,0,0,48,24,
24,0,48,0,0,0,24,24,0,0,0,24,48,0,48,0,96,0,0,0,0,
0,72,72,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,48,96,0,
48,0,0,0,0,96,0,0,0,0,0,0,144,144,0,0,0,0,0,0,0,0,
24,0,0,0,0,0,12,24,24,0,12,0,0,0,24,24,0,0,0,0,0,
0,12,12,12,0,0,0,0,0,0,0,0,0,0,0,0,24,24,48,0,24,
0,24,0,0,48,48,0,0,0,0,0,72,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,48,48,96,0,48,0,48,0,0,96,0,0,0,0,
0,0,144,0,144,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
24,24,0,12,0,0,0,0,24,0,0,0,0,0,0,36,0,0,0,0,0,0,
0,0,0,0,0,0,48,48,0,48,0,96,0,0,0,0,0,0,72,72,0,0,
0,0,0,0,0,0,0,48,24,0,24,24,48,0,0,0,0,0,0,72,72,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,24,24,0,24,0,48,0,0,0,0,0,36,36,36,0,0,
0,0,0,0,0,0,0,0,48,0,0,0,0,0,0,72,0,0,0,0,0,0,0,
0,0,0,24,24,0,0,0,0,0,0,72,0,72,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,24,0,0,0,0,0,
0,72,72,0,0,0,0,0,0,0,0,48,0,0,0,0,0,0,72,0,0,0,
0,0,0,0,0,0,0,0,0,0,144,0,144,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,12,12,0,0,0,0,0,0,0,12,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,160,0,0,80,0,160,0,160,80,40,48,
0,96,48,24,0,48,96,48,0,48,96,24,96,0,0,0,0,0,24,0,
48,0,24,96,48,0,96,0,96,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,20,20,20,20,20,20,20,20,20,60,60,
60,60,60,60,480,0,60,60,60,480,60,0,240,0,0,0,60,60,
240,60,0,60,480,60,0,480,0,0,0,0,0,0,0,720,0,4320,
4320,720,4320,0,0,0,0,20,20,20,20,20,20,20,20,60,60,
60,60,60,60,0,480,60,60,60,240,60,0,0,0,0,4860,60,60,
480,60,0,60,0,60,480,0,0,0,0,0,14580,0,0,0,720,720,
720,0,4320,0,0,0,0,20,20,20,20,20,20,20,60,60,60,60,
60,60,0,0,60,60,60,240,60,240,0,480,0,0,60,60,960,60,
0,60,480,60,480,0,0,0,0,0,0,0,0,720,4320,4320,0,4320,
0,0,0,0,0,20,20,20,20,20,20,60,60,60,60,60,60,0,480,
60,60,60,0,60,0,0,480,0,0,60,60,0,60,14580,60,0,60,
480,0,240,0,4860,0,0,0,0,720,4320,0,0,720,720,0,0,0,
0,20,20,20,20,20,60,60,60,60,60,60,480,0,60,60,60,0,
60,0,0,0,0,0,60,60,0,60,0,60,240,60,0,480,0,240,0,0,
0,0,0,4320,0,720,4320,720,0,0,0,0,0,20,20,20,20,60,
60,60,60,60,60,120,120,60,60,60,120,60,120,120,120,0,0,
60,60,120,60,0,60,120,60,120,120,120,120,0,0,1620,0,0,
0,4320,4320,4320,0,720,0,0,0,0,20,20,20,60,60,60,60,
60,60,480,0,60,60,60,0,60,240,0,240,0,0,60,60,0,60,0,
60,0,60,0,480,480,480,0,0,0,0,0,4320,4320,720,720,4320,
0,0,0,0,0,20,20,60,60,60,60,60,60,0,480,60,60,60,0,
60,0,240,960,0,0,60,60,480,60,0,60,0,60,0,0,240,480,
0,0,0,0,0,0,0,4320,720,4320,4320,0,0,0,0,20,60,60,60,
60,60,60,120,120,60,60,60,120,60,120,120,120,0,0,60,60,
120,60,1620,60,120,60,120,120,120,120,0,0,0,0,0,4320,
720,0,0,4320,4320,0,0,0,0,60,60,60,60,60,60,0,0,60,
60,60,0,60,480,480,960,0,180,60,60,960,60,180,60,480,
60,0,0,0,480,180,0,180,0,0,120,120,120,120,120,120,0,
0,0,0,12,12,12,12,12,24,0,12,12,12,0,12,0,24,0,0,0,
12,12,24,12,108,12,24,12,24,24,24,24,108,0,0,0,0,72,
0,72,72,0,72,0,0,0,0,12,12,12,12,24,24,12,12,12,24,
12,24,0,24,0,0,12,12,0,12,108,12,24,12,0,24,0,24,108,
0,108,0,0,0,72,72,72,0,72,0,0,0,0,12,12,12,0,24,12,
12,12,24,12,24,24,24,0,108,12,12,24,12,0,12,48,12,24,
0,24,0,36,0,0,0,0,24,24,24,0,72,0,0,0,0,0,12,12,0,
24,12,12,12,24,12,24,24,24,0,108,12,12,24,12,108,12,0,
12,24,0,24,0,108,0,108,0,0,0,72,72,0,72,72,0,0,0,0,
12,24,0,12,12,12,48,12,0,24,0,0,0,12,12,24,12,36,12,
24,12,24,24,24,24,0,0,0,0,0,72,0,0,24,24,24,0,0,0,
0,24,24,12,12,12,24,12,24,24,24,0,108,12,12,24,12,108,
12,24,12,24,24,24,24,108,0,0,0,0,72,0,72,0,72,72,0,
0,0,0,24,24,24,24,24,24,48,24,48,0,216,24,0,24,24,0,
24,24,48,48,0,48,0,216,0,432,0,0,0,144,144,0,144,864,
0,0,0,0,0,24,24,24,0,0,48,0,0,0,24,24,48,24,216,24,
24,24,24,48,24,48,0,0,0,0,0,144,0,0,144,0,144,0,0,0,
0,12,12,0,12,0,24,0,0,108,12,12,24,12,108,12,24,12,
24,24,24,24,0,0,108,0,0,72,72,0,0,72,72,0,0,0,0,12,
24,12,24,0,24,0,0,12,12,0,12,0,12,24,12,0,24,48,24,
0,0,36,0,0,24,24,24,72,0,0,0,0,0,0,24,12,24,24,24,
0,0,12,12,24,12,108,12,24,12,24,24,24,24,0,0,108,0,0,
72,72,0,72,0,72,0,0,0,0,0,0,48,0,0,0,24,24,48,24,
216,24,24,24,24,48,24,48,0,0,0,0,0,144,144,0,0,0,144,
0,0,0,0,0,24,0,0,108,12,12,24,12,108,12,24,12,24,24,
24,24,36,0,36,0,0,24,24,24,72,72,72,0,0,0,0,24,24,0,
0,24,24,24,24,216,24,48,24,48,24,48,24,0,0,0,0,0,144,
0,0,0,144,144,0,0,0,0,24,0,0,0,24,24,24,0,0,24,24,
0,48,0,48,0,0,216,0,0,0,144,144,144,0,0,0,0,0,0,0,
0,24,24,24,24,216,24,48,24,48,24,48,24,432,0,0,0,0,
144,0,144,864,0,144,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,108,36,432,108,
36,36,216,108,0,216,0,216,0,0,0,0,0,0,0,0,72,0,72,0,
0,0,0,12,0,12,0,12,24,12,0,24,0,24,0,0,108,0,0,72,
72,0,72,72,0,0,0,0,0,24,12,0,12,0,12,24,0,24,48,108,
0,0,0,0,0,0,72,24,24,24,0,0,0,0,24,0,0,24,24,0,48,
0,48,0,0,216,0,0,864,144,0,144,144,0,0,0,0,0,0,12,
24,12,24,24,24,24,108,0,108,0,0,0,72,72,72,72,0,0,0,
0,0,36,0,0,0,432,0,0,0,0,0,0,0,0,0,0,72,72,0,0,0,
0,0,24,12,0,24,0,24,108,0,108,0,0,72,72,72,24,24,24,
0,0,0,0,0,48,0,48,0,216,0,0,0,0,0,0,144,144,144,0,
0,0,0,0,24,48,24,0,108,0,0,0,0,72,0,72,72,72,0,0,0,
0,0,24,24,24,0,0,216,0,0,144,144,0,144,0,0,0,0,0,0,
24,24,216,0,0,0,0,0,864,144,0,144,144,0,0,0,0,24,0,
0,216,0,0,0,144,0,144,0,144,0,0,0,0,216,0,0,0,0,144,
0,144,0,144,0,0,0,0,0,0,36,0,0,72,72,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,72,0,72,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,24,24,0,0,0,0,0,0,0,24,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,24,24,0,0,0,0,24,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,20,80,20,0,0,20,0,20,0,0,12,24,12,0,0,0,0,12,
24,0,12,0,0,0,0,0,0,12,0,0,0,12,48,24,24,48,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,80,80,80,
0,0,0,1920,960,0,0,0,960,480,480,0,0,0,480,0,0,0,0,
0,0,3840,0,480,0,0,960,30720,0,0,0,0,0,0,720,0,0,0,
0,0,0,2160,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,80,20,80,0,20,40,20,0,0,
60,240,60,0,0,0,480,60,0,0,60,0,240,480,0,0,0,60,0,
0,0,60,3840,0,240,960,0,0,0,0,0,0,540,0,0,0,0,0,0,
540,0,0,0,0,80,0,0,0,0,480,0,480,480,0,0,480,3840,
480,240,480,0,0,0,480,480,0,0,0,0,0,480,0,0,0,0,480,
0,0,0,0,0,0,2160,360,0,0,0,0,0,0,0,0,0,0,0,0,20,0,
20,240,0,60,0,60,0,240,960,240,60,240,240,60,0,0,240,
0,0,0,60,0,0,0,60,960,0,240,0,0,240,0,0,0,0,180,0,
0,0,0,0,0,0,0,0,0,0,80,0,0,480,0,1920,480,480,0,960,
960,960,0,480,0,480,960,1920,0,0,0,0,480,0,1920,0,0,0,
1920,1920,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2160,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
20,240,0,60,240,60,0,480,0,0,60,0,0,60,0,240,0,0,0,
0,60,0,240,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,80,480,0,240,480,480,0,480,960,480,0,1920,
480,480,0,0,960,0,0,0,480,0,1920,0,0,480,480,0,0,0,
1920,0,0,0,360,2160,0,0,0,0,0,0,0,0,0,0,0,0,60,0,
60,0,0,0,0,60,0,0,60,0,240,0,0,0,0,60,0,480,0,60,0,
0,240,0,0,240,0,0,0,60,60,0,0,0,0,0,0,60,0,0,0,0,
0,0,0,0,24,0,48,24,24,24,24,0,24,0,0,0,0,24,0,48,0,
24,48,24,48,0,0,0,0,0,0,0,72,0,0,0,0,0,0,72,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,0,0,
0,24,12,24,24,12,48,24,24,0,0,0,12,0,24,0,12,48,24,
24,0,0,0,0,0,0,0,0,0,0,0,0,0,0,36,0,0,0,0,0,0,0,
24,24,48,48,24,48,48,24,0,0,0,24,0,24,0,24,96,48,24,
0,0,24,0,0,0,72,0,0,0,0,0,0,0,72,0,0,0,0,0,0,24,
12,24,24,12,0,24,24,0,0,0,12,0,24,0,12,48,24,24,0,0,
24,0,0,0,12,12,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,48,24,24,24,24,0,48,0,0,0,0,
24,0,48,0,24,48,24,48,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
72,0,0,0,96,48,48,48,48,0,48,0,0,0,0,48,0,96,0,48,
48,48,96,0,0,0,0,0,0,0,144,0,0,0,0,0,0,144,0,0,0,
24,24,0,0,0,24,24,0,0,0,0,0,48,0,24,0,0,48,48,0,0,
0,0,0,72,0,0,0,0,0,0,0,72,0,0,0,0,24,12,48,0,24,0,
0,0,12,0,0,0,12,48,24,0,48,0,24,0,0,0,0,36,0,0,0,
0,0,0,0,0,0,0,48,24,48,24,24,0,0,0,24,0,0,0,0,96,
48,0,96,0,48,0,0,0,0,72,0,0,0,0,0,0,72,0,0,0,0,0,
48,0,0,0,0,24,0,48,0,24,0,0,24,0,0,48,0,0,0,72,0,
0,0,0,0,0,0,0,0,0,0,0,24,0,0,0,0,12,0,24,0,12,0,
0,24,0,0,24,0,0,0,36,36,0,0,0,0,0,0,36,0,0,0,48,0,
0,0,0,0,0,96,0,48,0,0,96,0,0,0,0,0,0,144,0,0,0,0,
0,0,0,144,0,0,0,24,0,0,0,24,0,0,0,24,96,48,0,96,0,
48,0,0,0,72,72,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,48,
0,24,0,0,48,48,0,0,0,0,0,0,0,0,0,0,0,0,0,72,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,24,0,12,0,0,24,0,0,24,0,0,
0,12,12,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,48,24,24,48,0,24,
0,0,0,72,72,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,48,24,24,48,0,24,0,0,
0,12,12,0,0,0,0,0,0,12,0,0,0,0,48,0,0,0,0,0,0,144,
144,0,0,0,0,0,0,0,0,0,0,24,0,0,0,0,0,0,72,72,0,0,
0,0,0,0,0,0,0,0,48,0,24,0,0,0,0,72,0,0,0,0,0,0,
72,0,0,0,0,0,0,0,0,144,0,0,0,0,0,0,0,144,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,72,0,0,0,
0,0,0,72,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
12,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,80,80,0,0,0,0,80,0,0,0,480,1920,960,0,0,0,480,
960,1920,1920,0,0,480,0,0,960,0,7680,0,0,0,0,0,480,
7680,0,0,0,0,0,0,0,0,0,0,720,0,0,0,0,0,0,0,20,0,0,
20,0,20,0,0,60,240,60,960,0,0,0,60,0,0,60,0,480,240,
0,0,480,60,3840,0,0,60,3840,0,240,960,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,80,0,0,0,0,80,0,480,480,0,1920,
960,1920,0,0,0,960,0,1920,0,1920,960,0,0,1920,960,0,0,
0,480,0,960,0,0,7680,480,0,0,0,0,0,0,0,0,0,720,720,
0,0,0,0,0,0,20,0,20,0,480,60,480,60,0,240,0,0,60,0,
0,60,0,0,240,0,0,0,60,0,0,0,60,1920,480,480,0,0,480,
0,0,0,0,0,0,0,0,540,540,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,240,
60,0,60,0,240,0,0,60,960,0,60,0,240,240,0,0,240,60,
3840,0,0,60,0,0,0,0,960,240,0,0,0,0,0,0,0,0,0,0,
540,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,60,0,60,0,0,0,0,60,0,0,60,0,240,240,0,
0,240,60,0,0,0,60,7680,480,0,0,0,0,0,0,0,0,0,0,0,0,
60,60,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,24,24,48,0,0,0,24,24,48,24,0,0,24,0,0,48,
24,0,0,0,0,0,0,24,48,0,24,0,0,0,0,0,0,0,0,72,0,72,
0,0,0,0,24,12,24,0,0,0,12,24,24,12,0,24,24,0,0,24,
12,48,0,0,12,0,0,24,48,0,0,0,0,0,0,0,0,0,0,36,0,0,
0,0,0,0,24,24,0,0,0,0,48,24,24,0,0,48,0,0,0,0,0,0,
0,24,0,48,24,0,48,24,0,0,0,0,0,0,0,0,0,72,72,0,0,
0,0,0,24,0,0,12,0,0,12,0,24,24,0,0,24,12,48,0,0,12,
48,24,24,48,48,24,0,0,0,0,0,0,0,0,12,12,12,0,0,0,0,
24,0,0,24,0,24,0,0,48,0,0,0,48,24,96,0,0,24,48,24,
24,48,96,48,0,0,0,0,0,0,0,0,0,72,72,0,0,0,0,0,0,
24,48,24,24,0,0,48,0,0,0,24,0,0,0,24,0,24,0,0,0,0,
0,0,0,0,0,0,0,0,72,0,72,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,24,24,12,0,0,
24,0,0,0,12,0,0,0,12,48,24,0,0,48,24,0,0,0,0,0,0,
0,0,0,36,0,0,0,0,0,0,0,0,24,24,0,0,24,24,48,0,0,
24,96,48,48,96,48,24,0,0,0,0,0,0,0,0,72,0,72,0,0,0,
0,0,0,48,0,0,0,48,24,96,0,0,24,48,24,0,48,96,48,0,
0,0,0,0,0,0,0,0,0,72,0,0,0,0,0,24,0,0,0,24,12,48,
0,0,12,48,24,24,48,48,24,0,0,0,0,0,0,0,0,36,36,36,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,24,0,0,24,0,0,0,0,24,48,24,
0,0,0,0,0,0,0,0,0,0,0,0,72,0,0,0,0,0,0,0,0,24,24,
48,0,0,24,96,48,48,96,48,48,0,0,0,0,0,0,0,0,0,72,
72,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,24,48,24,0,0,
96,48,0,0,0,0,0,0,0,0,72,72,0,0,0,0,0,0,0,0,12,0,
24,0,0,48,24,0,0,0,0,0,0,0,0,12,12,12,0,0,0,0,0,0,
0,0,48,0,0,0,0,0,0,0,0,0,0,0,0,144,144,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
24,48,0,0,0,0,0,0,0,0,0,0,12,12,12,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,144,144,0,0,0,0,0,48,96,0,0,0,
0,0,0,0,0,0,0,72,72,0,0,0,0,0,0,48,24,0,0,0,0,0,
0,0,0,0,72,0,0,0,0,0,48,48,0,0,0,0,0,0,0,0,0,144,
144,0,0,0,0,0,0,0,0,0,0,0,0,0,144,0,144,0,0,0,0,0,
0,0,0,0,0,0,0,72,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,12,12,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,5,5,5,5,5,5,5,5,30,30,30,30,30,30,0,0,30,30,30,
120,30,240,0,0,270,0,30,30,0,30,0,30,0,30,0,120,0,0,
0,0,0,0,0,0,0,2160,2160,0,0,2160,0,2160,0,5,5,5,5,5,
5,5,30,30,30,30,30,30,0,0,30,30,30,120,30,240,0,0,
270,0,30,30,0,30,0,30,0,30,0,120,0,0,0,0,0,0,0,0,0,
2160,2160,0,0,2160,0,2160,0,5,5,5,5,5,5,30,30,30,30,
30,30,60,0,30,30,30,0,30,0,60,0,0,0,30,30,120,30,0,
30,120,30,120,0,60,0,0,0,0,0,0,0,0,0,0,0,77760,0,
77760,0,0,5,5,5,5,5,30,30,30,30,30,30,60,0,30,30,30,
60,30,0,0,0,0,0,30,30,60,30,0,30,60,30,60,60,60,0,0,
270,0,0,0,0,0,2160,2160,0,2160,2160,2160,2160,0,5,5,5,
5,30,30,30,30,30,30,60,0,30,30,30,60,30,0,0,0,0,0,
30,30,60,30,0,30,60,30,60,60,60,0,0,270,0,0,0,0,0,
2160,2160,0,2160,2160,2160,2160,0,5,5,5,30,30,30,30,30,
30,120,0,30,30,30,120,30,120,120,0,0,0,30,30,0,30,0,
30,0,30,0,120,120,0,0,0,0,0,77760,77760,0,77760,77760,
77760,0,77760,0,77760,77760,5,5,30,30,30,30,30,30,120,0,
30,30,30,0,30,120,60,0,270,0,30,30,120,30,270,30,0,30,
0,0,120,0,0,90,0,0,360,360,0,2160,2160,360,2160,2160,
2160,2160,360,5,30,30,30,30,30,30,0,0,30,30,30,0,30,
60,60,0,0,0,30,30,60,30,270,30,60,30,60,0,0,0,0,0,0,
0,2160,2160,0,0,0,2160,2160,0,2160,0,2160,30,30,30,30,
30,30,0,0,30,30,30,0,30,60,60,0,0,0,30,30,60,30,270,
30,60,30,60,0,0,0,0,0,0,0,2160,2160,0,0,0,2160,2160,
0,2160,0,2160,30,30,30,30,30,240,0,30,30,30,120,30,120,
120,0,810,0,30,30,120,30,810,30,120,30,120,120,0,0,0,
270,0,0,1080,1080,0,6480,6480,0,6480,6480,6480,6480,0,30,
30,30,30,0,0,30,30,30,120,30,120,0,0,810,0,30,30,120,
30,810,30,120,30,120,120,0,0,0,0,0,0,1080,0,0,6480,
6480,0,6480,6480,6480,0,1080,30,30,30,0,0,30,30,30,120,
30,60,0,0,810,0,30,30,60,30,810,30,120,30,120,120,0,0,
0,0,0,0,6480,0,0,2160,6480,0,6480,6480,2160,2160,2160,
30,30,0,0,30,30,30,120,30,60,60,0,0,0,30,30,60,30,
810,30,120,30,120,0,120,0,0,0,0,0,0,0,0,6480,0,1080,
6480,6480,6480,0,1080,30,0,0,30,30,30,120,30,0,240,0,0,
0,30,30,120,30,270,30,120,30,120,120,120,0,0,0,0,0,0,
0,0,6480,2160,2160,2160,2160,6480,0,0,120,0,30,30,30,
120,30,0,60,0,0,0,30,30,60,30,810,30,120,30,120,0,60,
0,0,270,0,0,0,1080,0,6480,0,1080,6480,6480,6480,6480,0,
0,120,120,60,120,120,240,120,0,0,0,60,120,60,60,3240,
60,60,120,240,0,0,0,0,0,0,0,0,0,0,25920,0,0,12960,
25920,12960,0,2160,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,30,
0,30,0,240,0,0,0,30,30,120,30,810,30,120,30,0,0,60,0,
0,270,0,0,0,1080,0,0,0,1080,6480,6480,0,6480,1080,30,
120,30,240,0,0,0,0,30,30,120,30,810,30,120,30,0,120,
120,0,0,0,0,0,0,2160,0,2160,0,0,6480,6480,0,0,360,0,
30,120,0,0,810,0,30,30,120,30,810,30,120,30,60,120,60,
0,0,270,0,0,1080,1080,0,0,6480,0,6480,6480,0,6480,1080,
0,0,960,0,0,0,0,120,0,120,6480,120,0,240,60,480,60,0,
0,1080,0,0,4320,2160,0,0,0,2160,25920,12960,0,12960,2160,
120,120,0,810,0,30,30,120,30,0,30,120,30,0,120,60,0,0,
90,0,0,6480,360,0,0,6480,1080,0,0,2160,2160,2160,60,0,
0,0,120,60,60,60,3240,120,480,60,0,60,480,0,0,2160,0,
0,0,4320,0,0,0,4320,25920,12960,0,0,0,0,0,0,120,60,60,
60,3240,120,120,60,0,240,0,0,0,0,0,0,0,0,0,12960,
25920,0,12960,12960,12960,0,4320,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,810,0,
3240,810,0,270,0,810,6480,0,3240,0,0,0,0,0,0,0,0,0,0,
1080,2160,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,30,0,30,0,30,0,30,0,120,120,
0,0,270,0,0,1080,1080,0,0,6480,1080,0,0,0,6480,1080,60,
30,0,30,0,30,120,0,120,0,0,270,0,0,2160,0,0,0,0,360,
0,2160,0,6480,6480,60,0,0,60,0,0,480,0,0,0,1080,0,0,
2160,6480,0,0,25920,2160,0,0,0,25920,4320,0,30,60,30,
120,120,0,0,0,0,0,0,1080,0,0,6480,6480,1080,0,0,6480,
0,1080,0,0,0,0,0,3240,0,0,0,0,0,1080,0,0,0,2160,1080,
0,0,0,0,0,0,30,120,120,0,0,0,0,0,0,360,1080,0,6480,
2160,2160,2160,0,0,0,1080,0,480,0,0,0,0,0,0,0,2160,
2160,0,25920,12960,2160,0,0,12960,12960,4320,0,120,120,0,
0,270,0,0,1080,1080,0,0,6480,1080,0,0,6480,6480,0,0,60,
0,0,1080,0,0,0,2160,0,0,25920,2160,0,25920,0,12960,2160,
120,0,0,0,0,0,0,4320,0,12960,0,2160,12960,12960,25920,0,
2160,0,0,0,0,0,2160,0,0,25920,25920,0,0,0,12960,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,2160,0,0,0,0,2160,0,360,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2160,
360,2160,2160,0,0,0,0,2160,0,0,0,0,2160,2160,360,0,0,
0,0,0,0,0,0,0,0,0,0,0,2160,2160,2160,0,2160,0,0,0,
2160,2160,0,0,0,0,0,0,0,0,0,0,0,2160,2160,5,5,5,5,5,
5,5,30,30,30,30,30,30,0,0,30,30,30,120,30,240,0,0,
270,0,30,30,0,30,0,30,0,30,0,120,0,0,0,0,0,0,0,0,0,
2160,2160,0,0,2160,0,2160,0,5,5,5,5,5,5,30,30,30,30,
30,30,0,240,30,30,30,0,30,0,0,120,0,270,30,30,120,30,
0,30,240,30,240,0,0,240,270,0,0,2160,0,0,2160,0,0,0,
2160,0,2160,0,0,5,5,5,5,5,30,30,30,30,30,30,0,240,30,
30,30,0,30,0,0,120,0,270,30,30,120,30,0,30,240,30,240,
0,0,240,270,0,0,2160,0,0,2160,0,0,0,2160,0,2160,0,0,
5,5,5,5,30,30,30,30,30,30,0,60,30,30,30,60,30,60,0,
60,0,0,30,30,60,30,0,30,60,30,60,60,0,60,0,0,0,77760,
0,0,77760,77760,77760,0,77760,77760,77760,77760,0,5,5,5,
30,30,30,30,30,30,0,120,30,30,30,60,30,60,0,120,0,0,
30,30,0,30,0,30,0,30,0,60,0,120,0,0,0,77760,0,0,
77760,0,0,0,0,0,0,0,0,5,5,30,30,30,30,30,30,0,60,30,
30,30,0,30,60,0,60,0,0,30,30,60,30,0,30,0,30,0,0,0,
60,0,0,270,2160,0,0,2160,0,0,0,2160,0,2160,0,0,5,30,
30,30,30,30,30,0,60,30,30,30,0,30,60,0,60,0,0,30,30,
60,30,0,30,0,30,0,0,0,60,0,0,270,2160,0,0,2160,0,0,
0,2160,0,2160,0,0,30,30,30,30,30,30,0,60,30,30,30,0,
30,120,0,120,270,270,30,30,60,30,0,30,60,30,60,0,0,60,
270,0,90,360,0,0,360,360,360,0,2160,360,2160,360,0,30,
30,30,30,30,0,0,30,30,30,120,30,120,0,0,810,0,30,30,
120,30,0,30,120,30,60,60,0,0,810,0,0,0,0,0,0,1080,
1080,0,6480,1080,6480,1080,0,30,30,30,30,0,0,30,30,30,
60,30,240,0,120,810,0,30,30,120,30,0,30,60,30,120,120,
0,240,810,0,270,0,0,0,1080,1080,1080,0,6480,1080,6480,0,
0,30,30,30,0,0,30,30,30,120,30,60,0,0,810,0,30,30,
120,30,0,30,120,30,120,120,0,0,270,0,0,0,0,0,0,360,
6480,0,6480,0,2160,0,0,30,30,0,240,30,30,30,120,30,0,
0,60,0,810,30,30,120,30,0,30,120,30,120,0,0,120,810,0,
270,1080,0,0,1080,1080,0,0,6480,1080,6480,0,0,30,0,0,
30,30,30,120,30,0,0,120,0,0,30,30,120,30,0,30,120,30,
60,0,0,60,810,0,270,0,0,0,6480,6480,0,0,2160,360,6480,
0,0,0,120,30,30,30,120,30,60,0,60,0,810,30,30,120,30,
0,30,120,30,60,60,0,60,810,0,0,1080,0,0,0,1080,0,0,
6480,1080,6480,1080,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
120,60,60,60,120,0,0,0,3240,0,60,120,240,60,0,60,60,
120,60,480,0,0,3240,0,0,0,0,0,0,4320,12960,0,12960,
4320,12960,8640,0,30,30,0,30,0,0,120,0,810,30,30,120,
30,0,30,120,30,60,60,0,60,0,0,270,1080,0,0,1080,0,0,
0,6480,1080,0,1080,0,30,0,30,0,0,120,0,810,30,30,120,
30,0,30,60,30,0,240,0,120,0,0,90,6480,0,0,360,0,0,0,
6480,6480,2160,2160,0,60,30,120,0,120,810,0,30,30,120,
30,0,30,60,30,0,60,0,60,0,0,270,0,0,0,1080,0,1080,0,
6480,1080,0,1080,0,0,0,0,0,0,3240,60,240,240,60,0,60,
60,0,120,480,0,480,0,0,2160,4320,0,0,4320,0,0,0,25920,
0,0,4320,0,120,0,0,0,0,30,30,120,30,0,30,120,30,60,
60,0,60,270,0,270,6480,0,0,360,360,6480,0,0,1080,0,360,
0,0,60,0,3240,120,120,120,60,0,120,480,60,240,120,0,60,
0,0,3240,12960,0,0,4320,0,0,0,25920,2160,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,3240,0,240,60,0,60,0,0,240,0,0,0,0,120,0,0,0,
0,0,0,0,4320,4320,0,0,0,12960,4320,0,0,810,0,0,810,0,
270,0,810,0,0,0,0,0,0,0,1080,0,0,0,0,0,0,2160,1080,
0,0,0,810,270,0,810,0,0,3240,0,3240,3240,0,0,0,0,0,0,
0,0,0,0,1080,0,0,1080,0,0,0,30,0,30,0,30,60,30,0,
240,0,120,0,0,270,1080,0,0,1080,0,1080,0,0,0,0,1080,0,
120,30,0,30,0,30,240,0,0,120,0,0,270,360,0,0,0,0,
2160,0,2160,0,0,0,0,0,0,0,60,0,0,960,0,0,0,0,12960,
2160,0,0,0,4320,2160,0,0,0,0,2160,0,0,30,0,30,120,0,
0,0,810,0,270,1080,0,0,1080,1080,1080,0,0,0,6480,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,
30,120,120,0,120,810,0,270,360,0,0,1080,6480,360,0,0,
360,6480,1080,0,0,240,0,0,0,0,0,0,2160,0,0,0,4320,
4320,0,0,0,0,0,0,120,120,0,0,810,0,0,1080,0,0,0,1080,
1080,0,0,0,0,1080,0,60,0,60,0,0,1080,6480,0,0,2160,0,
4320,0,0,0,0,4320,0,0,60,0,0,1080,4320,0,0,4320,0,0,
0,12960,0,25920,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,3240,0,0,0,0,0,0,4320,4320,0,0,25920,12960,12960,0,0,
270,0,0,0,1080,0,0,0,0,0,0,1080,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,360,0,0,0,0,2160,360,0,0,0,0,0,
360,0,2160,360,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,360,0,0,0,0,2160,360,0,0,0,0,0,2160,360,0,
0,2160,360,0,0,0,0,0,0,0,0,2160,0,0,0,0,0,0,2160,0,
0,5,5,5,5,5,5,30,30,30,30,30,30,0,0,30,30,30,0,30,
0,60,60,0,0,30,30,60,30,270,30,60,30,60,0,0,0,0,0,0,
2160,0,0,2160,0,0,0,2160,0,2160,0,0,5,5,5,5,5,30,30,
30,30,30,30,0,0,30,30,30,120,30,0,0,120,30,30,30,30,
60,30,30,30,120,30,120,120,0,0,30,30,30,60,60,60,60,
60,60,60,60,60,60,60,60,5,5,5,5,30,30,30,30,30,30,0,
0,30,30,30,0,30,0,60,60,0,0,30,30,60,30,270,30,60,30,
60,0,0,0,0,0,0,2160,0,0,2160,0,0,0,2160,0,2160,0,0,
5,5,5,30,30,30,30,30,30,0,0,30,30,30,120,30,60,120,
120,90,0,30,30,0,30,0,30,0,30,0,120,0,0,0,270,270,
2160,2160,2160,2160,360,360,2160,0,360,0,360,2160,5,5,30,
30,30,30,30,30,0,0,30,30,30,0,30,0,0,120,30,30,30,30,
120,30,30,30,0,30,0,0,0,0,30,30,30,60,60,60,60,60,60,
60,60,60,60,60,60,5,30,30,30,30,30,30,0,0,30,30,30,
60,30,60,60,60,270,0,30,30,60,30,90,30,60,30,60,60,0,
0,0,0,270,360,2160,2160,360,0,0,2160,2160,0,2160,0,2160,
30,30,30,30,30,30,0,0,30,30,30,0,30,0,0,120,30,30,30,
30,120,30,30,30,0,30,0,0,0,0,30,30,30,60,60,60,60,60,
60,60,60,60,60,60,60,30,30,30,30,30,0,0,30,30,30,120,
30,120,0,0,270,0,30,30,120,30,270,30,0,30,60,60,0,0,
0,0,0,0,1080,0,0,1080,1080,0,1080,1080,1080,1080,0,30,
30,30,30,0,0,30,30,30,60,30,120,0,0,270,0,30,30,120,
30,270,30,60,30,120,120,0,0,270,0,0,0,0,0,0,1080,1080,
0,1080,1080,1080,0,1080,30,30,30,0,0,30,30,30,240,30,
60,0,0,90,90,30,30,60,30,90,30,120,30,240,120,0,0,30,
30,30,180,180,60,60,60,180,180,180,180,60,60,60,30,30,
0,0,30,30,30,120,30,120,120,120,0,270,30,30,60,30,0,
30,120,30,120,0,0,0,270,0,270,0,0,0,1080,1080,0,1080,
1080,1080,1080,0,0,30,0,0,30,30,30,120,30,0,120,120,30,
30,30,30,240,30,30,30,240,30,60,0,0,0,90,90,90,60,60,
180,180,180,60,60,60,60,180,180,180,0,0,30,30,30,120,
30,60,120,60,0,270,30,30,120,30,270,30,120,30,120,0,0,
0,270,270,0,1080,0,1080,0,0,0,1080,0,1080,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,30,30,0,30,0,120,120,0,0,30,30,0,30,270,30,120,30,
60,60,0,0,0,270,270,1080,0,1080,0,0,0,0,1080,1080,0,
1080,1080,30,0,30,120,0,120,90,90,30,30,120,30,90,30,
60,30,0,120,0,0,30,30,30,180,180,60,60,60,180,180,180,
180,60,60,60,0,30,0,120,0,0,0,30,30,120,30,0,30,120,
30,0,60,0,0,0,270,0,0,1080,1080,1080,0,0,0,0,0,0,
1080,1080,0,0,240,0,0,0,60,120,480,60,0,60,60,120,120,
0,0,0,0,1080,0,720,6480,8640,4320,0,0,0,2160,720,0,
4320,4320,120,120,0,90,90,30,30,120,30,90,30,120,30,0,
60,0,0,30,30,30,180,180,60,60,60,180,180,180,180,60,60,
60,120,60,0,0,120,60,60,60,1080,240,0,120,240,60,0,0,
0,0,1080,4320,0,2160,2160,0,0,0,0,8640,6480,2160,720,0,
2160,0,120,120,60,60,1080,120,120,120,0,0,0,0,0,0,0,0,
2160,0,0,4320,2160,0,2160,720,0,0,4320,0,0,120,120,120,
120,0,120,960,120,240,60,0,0,1080,0,0,0,2160,0,0,0,
720,0,2160,2160,0,4320,0,30,270,30,2160,0,30,30,1080,
270,0,0,0,0,0,0,0,120,0,0,0,0,0,0,120,120,0,0,0,
270,30,0,0,30,30,0,0,0,2160,0,0,0,0,0,0,120,0,0,0,
0,0,0,0,0,0,0,30,0,30,0,30,60,30,0,120,0,0,0,270,
270,0,1080,0,1080,0,1080,1080,0,0,0,1080,0,60,30,30,30,
0,30,120,0,0,0,90,90,90,60,60,180,180,180,60,60,60,60,
180,180,180,60,0,0,0,120,0,480,0,0,0,0,2160,4320,8640,
2160,720,2160,0,0,0,0,0,2160,2160,0,30,0,30,120,120,0,
0,270,0,270,1080,1080,0,1080,0,1080,1080,0,0,1080,0,
1080,30,0,0,0,1080,0,0,0,0,0,120,120,0,0,0,120,120,0,
0,0,0,0,0,30,120,0,0,0,90,90,90,60,60,180,180,180,60,
60,60,60,180,180,180,0,480,0,0,0,1080,1080,0,8640,4320,
2160,0,2160,4320,0,0,0,720,2160,6480,240,120,0,0,270,
270,0,1080,1080,1080,0,0,0,1080,0,0,0,1080,0,60,0,0,0,
1080,0,2160,720,4320,8640,0,2160,2160,0,6480,0,4320,0,0,
0,1080,0,1080,4320,0,6480,720,720,0,8640,4320,0,2160,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,30,30,0,0,120,120,0,0,0,0,0,0,0,
120,30,0,0,0,0,120,0,0,0,0,0,0,120,0,0,0,0,0,0,0,
0,0,0,120,0,60,0,0,0,60,60,60,60,0,0,0,0,0,0,60,60,
60,60,0,0,0,60,60,0,0,0,0,60,60,60,60,0,0,0,0,60,
60,60,0,0,0,0,60,60,60,60,60,60,0,0,0,60,60,0,0,0,
60,0,0,0,0,0,0,60,60,60,5,5,5,5,5,30,30,30,30,30,
30,0,240,30,30,30,0,30,0,0,120,0,270,30,30,120,30,0,
30,240,30,240,0,0,240,270,0,0,2160,0,0,2160,0,0,0,
2160,0,2160,0,0,5,5,5,5,30,30,30,30,30,30,0,0,30,30,
30,0,30,0,60,60,0,0,30,30,60,30,270,30,60,30,60,0,0,
0,0,0,0,2160,0,0,2160,0,0,0,2160,0,2160,0,0,5,5,5,
30,30,30,30,30,30,120,0,30,30,30,0,30,0,240,0,0,0,30,
30,0,30,0,30,0,30,0,0,120,0,0,270,0,0,2160,2160,0,0,
0,2160,0,0,0,0,2160,5,5,30,30,30,30,30,30,120,0,30,
30,30,0,30,0,240,0,0,0,30,30,0,30,0,30,0,30,0,0,120,
0,0,270,0,0,2160,2160,0,0,0,2160,0,0,0,0,2160,5,30,
30,30,30,30,30,60,60,30,30,30,0,30,0,60,60,0,0,30,30,
60,30,0,30,60,30,60,0,60,60,0,0,0,77760,77760,77760,
77760,0,0,77760,77760,0,77760,0,77760,30,30,30,30,30,30,
0,60,30,30,30,0,30,0,120,60,0,270,30,30,120,30,90,30,
60,30,60,0,0,60,270,270,0,2160,360,360,2160,0,0,360,
360,0,360,0,360,30,30,30,30,30,240,0,30,30,30,0,30,0,
120,0,0,0,30,30,240,30,270,30,120,30,60,0,60,60,810,
810,0,0,1080,1080,0,0,0,0,1080,0,1080,0,0,30,30,30,30,
60,60,30,30,30,0,30,0,0,120,0,0,30,30,120,30,270,30,
60,30,120,0,0,120,810,0,0,0,1080,0,6480,0,0,0,1080,0,
1080,0,1080,30,30,30,0,240,30,30,30,0,30,0,120,120,0,
0,30,30,60,30,270,30,120,30,120,0,240,0,270,0,0,0,0,
2160,2160,0,0,0,0,0,360,0,0,30,30,0,120,30,30,30,0,
30,0,0,120,0,810,30,30,60,30,270,30,120,30,240,0,120,
120,810,0,0,6480,0,0,6480,0,0,1080,1080,0,1080,0,1080,
30,240,0,30,30,30,0,30,0,0,120,0,0,30,30,120,30,90,
30,120,30,60,0,0,60,810,0,0,2160,2160,0,6480,0,0,0,
360,0,6480,0,6480,0,120,30,30,30,0,30,0,60,0,0,810,30,
30,60,30,270,30,0,30,60,0,60,0,810,810,0,6480,0,1080,
0,0,0,1080,1080,0,1080,0,0,60,120,0,60,0,120,0,120,
960,0,0,60,120,0,60,1080,60,60,120,480,0,480,0,3240,0,
0,25920,0,0,12960,0,0,0,4320,0,4320,0,0,120,60,0,0,
120,0,240,0,0,0,60,120,0,60,1080,60,60,120,60,0,120,
240,3240,0,0,0,4320,4320,0,0,0,0,2160,0,6480,0,0,30,
30,0,30,0,240,120,0,810,30,30,120,30,270,30,240,30,0,
0,60,60,0,810,0,6480,0,1080,6480,0,0,1080,1080,0,0,0,
1080,30,0,30,0,0,120,0,810,30,30,120,30,270,30,60,30,
0,0,120,120,0,0,0,6480,0,0,2160,0,0,6480,6480,0,0,0,
360,0,30,0,120,120,0,0,30,30,120,30,270,30,60,30,60,0,
60,60,0,810,0,0,1080,1080,6480,0,0,0,1080,0,0,0,1080,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,120,0,0,810,30,30,0,30,270,30,
120,30,60,0,60,60,0,270,0,6480,1080,360,0,0,0,6480,
1080,0,360,0,360,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,120,0,0,120,60,60,
60,3240,120,60,60,0,0,0,480,3240,0,0,0,0,0,25920,0,0,
0,4320,0,12960,0,2160,0,0,120,120,0,120,12960,120,0,0,
240,0,240,60,0,0,0,0,2160,2160,0,0,0,4320,0,0,2160,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,810,270,0,810,270,270,3240,810,3240,0,0,0,0,
0,0,0,1080,0,0,0,0,0,1080,0,0,0,0,30,0,30,0,30,0,
30,0,0,120,120,0,810,0,6480,1080,1080,6480,0,0,1080,0,
0,0,0,1080,0,30,0,30,0,30,0,0,120,120,0,810,0,2160,0,
6480,6480,0,0,360,0,0,0,0,0,60,0,0,120,0,0,0,0,240,
0,3240,0,12960,4320,4320,0,0,0,4320,0,0,0,0,0,0,30,60,
30,120,0,120,120,810,0,0,6480,1080,0,6480,0,0,1080,0,0,
1080,0,1080,270,0,0,0,0,2160,0,0,0,0,2160,360,0,0,0,
0,360,0,0,0,0,0,60,30,120,0,0,120,0,0,0,0,360,6480,
0,0,0,360,360,0,6480,0,1080,0,0,0,480,0,0,0,0,12960,
12960,4320,0,0,0,4320,0,0,0,0,25920,120,0,0,0,0,810,0,
0,1080,1080,0,0,0,1080,0,0,1080,0,0,0,60,60,0,3240,0,
12960,8640,12960,12960,0,0,4320,0,0,0,0,4320,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,60,3240,0,0,0,4320,0,25920,
0,0,0,4320,0,4320,0,0,3240,0,0,0,0,4320,0,0,0,4320,0,
0,2160,0,0,0,0,0,0,1080,0,0,0,0,0,0,0,0,1080,0,0,0,
0,2160,0,0,0,0,0,1080,0,1080,0,0,0,0,0,0,0,0,0,0,0,
0,2160,0,0,0,0,2160,2160,0,0,0,0,0,0,0,0,360,360,0,
0,0,0,2160,0,0,0,0,0,360,0,360,0,0,0,0,0,2160,0,
2160,0,0,0,0,0,0,0,0,0,0,0,0,0,360,0,0,0,0,0,0,0,
0,0,0,0,0,360,0,5,5,5,5,30,30,30,30,30,30,60,0,30,
30,30,60,30,0,0,0,0,0,30,30,60,30,0,30,60,30,60,60,
60,0,0,270,0,0,0,0,0,2160,2160,0,2160,2160,2160,2160,0,
5,5,5,30,30,30,30,30,30,60,60,30,30,30,60,30,0,0,60,
270,0,30,30,0,30,0,30,0,30,0,60,60,60,0,0,0,2160,
2160,2160,2160,0,0,2160,0,0,0,0,2160,5,5,30,30,30,30,
30,30,120,120,30,30,30,0,30,0,0,60,30,30,30,30,120,30,
30,30,0,30,0,0,120,120,30,30,30,60,60,60,60,60,60,60,
60,60,60,60,60,5,30,30,30,30,30,30,60,60,30,30,30,60,
30,0,0,60,270,0,30,30,0,30,0,30,0,30,0,60,60,60,0,0,
0,2160,2160,2160,2160,0,0,2160,0,0,0,0,2160,30,30,30,
30,30,30,0,120,30,30,30,0,30,0,0,120,30,30,30,30,120,
30,30,30,120,30,120,0,0,120,30,30,30,60,60,60,60,60,
60,60,60,60,60,60,60,30,30,30,30,30,120,0,30,30,30,
120,30,0,0,0,0,0,30,30,120,30,0,30,120,30,60,120,120,
120,270,270,0,0,0,1080,0,0,1080,0,1080,1080,1080,0,0,
30,30,30,30,120,120,30,30,30,120,30,0,0,120,270,0,30,
30,120,30,270,30,60,30,120,0,0,120,270,0,270,0,1080,0,
1080,1080,0,0,1080,0,1080,0,0,30,30,30,0,120,30,30,30,
120,30,0,0,0,90,90,30,30,60,30,90,30,120,30,120,120,
120,0,30,30,30,180,180,60,60,60,180,180,180,180,60,60,
60,30,30,0,120,30,30,30,0,30,0,0,60,0,270,30,30,60,
30,270,30,120,30,120,0,0,120,270,0,270,1080,0,0,1080,0,
0,0,1080,1080,1080,0,1080,30,120,0,30,30,30,120,30,0,0,
120,30,30,30,30,240,30,30,30,120,30,60,0,0,60,90,90,
90,60,60,180,180,180,60,60,60,60,180,180,180,120,0,30,
30,30,0,30,0,0,0,0,0,30,30,60,30,0,30,120,30,0,60,
120,60,270,270,0,0,0,1080,0,1080,0,1080,1080,1080,0,
1080,0,120,0,0,120,0,120,0,0,240,0,2160,120,120,60,60,
1080,120,60,120,0,0,480,0,1080,0,0,2160,0,0,4320,0,0,
2160,720,2160,4320,0,4320,120,60,60,60,120,0,0,0,0,0,
60,120,240,0,1080,60,60,0,60,0,60,240,1080,0,0,0,0,
2160,0,2160,4320,0,0,4320,720,2160,0,30,30,0,30,0,0,
120,0,270,30,30,120,30,270,30,120,30,120,120,120,60,0,
270,270,1080,0,0,1080,0,0,1080,1080,0,0,1080,0,30,0,30,
0,0,240,90,90,30,30,120,30,90,30,60,30,0,120,120,120,
30,30,30,180,180,60,60,60,180,180,180,180,60,60,60,60,
30,0,0,120,270,0,30,30,120,30,270,30,0,30,60,120,60,0,
0,270,270,0,1080,1080,0,0,1080,0,0,1080,0,1080,1080,0,
0,0,0,0,0,120,120,0,120,0,120,120,0,60,480,60,0,0,
1080,1080,720,0,0,0,0,0,2160,2160,2160,0,4320,4320,0,0,
0,90,90,30,30,120,30,90,30,120,30,60,120,120,60,30,30,
30,180,180,60,60,60,180,180,180,180,60,60,60,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,120,60,60,60,1080,120,480,60,
240,60,0,60,0,1080,0,0,0,8640,0,4320,720,6480,720,0,
4320,4320,0,30,270,30,1080,270,30,30,1080,0,0,0,1080,
1080,0,0,0,0,0,0,0,0,0,120,120,120,0,0,0,270,30,0,
270,30,30,2160,270,1080,1080,0,1080,0,0,0,0,0,0,0,0,
120,0,120,0,0,0,0,30,0,30,0,30,120,30,0,120,120,120,
0,0,0,1080,0,1080,1080,0,1080,0,0,0,0,0,1080,0,30,30,
30,0,30,120,0,120,120,90,90,90,60,60,180,180,180,60,60,
60,60,180,180,180,0,0,0,60,60,0,240,0,480,0,0,1080,
4320,4320,720,720,6480,8640,4320,0,0,0,0,0,0,30,60,30,
0,120,0,120,0,0,0,0,1080,0,1080,1080,1080,1080,0,0,0,
0,1080,30,0,0,0,0,1080,0,0,0,0,120,120,0,0,0,120,120,
0,0,0,0,0,60,30,120,120,0,120,90,90,90,60,60,180,180,
180,60,60,60,60,180,180,180,0,240,0,0,0,1080,1080,0,0,
4320,2160,0,2160,0,4320,0,0,2160,720,2160,0,120,0,0,270,
0,0,0,1080,1080,0,1080,1080,1080,0,0,0,1080,0,120,60,
60,0,0,1080,720,2160,4320,0,0,2160,2160,0,0,0,0,4320,0,
60,2160,0,1080,4320,0,0,720,2160,0,0,4320,4320,2160,0,
2160,120,0,0,0,0,4320,0,2160,2160,0,0,0,4320,720,0,
2160,2160,1080,0,2160,720,0,0,4320,2160,2160,0,2160,0,
4320,0,30,30,0,0,120,120,0,0,0,0,0,0,0,0,30,0,0,0,
120,120,0,0,0,0,0,0,120,0,0,120,0,120,0,0,0,0,120,
120,0,60,0,0,0,60,60,60,60,0,0,0,0,0,0,60,60,60,60,
0,0,0,60,60,0,0,0,0,60,60,60,60,0,0,0,0,60,60,60,0,
0,0,0,60,60,60,60,60,60,0,0,0,60,60,0,0,0,60,0,0,0,
0,0,0,60,60,60,5,5,5,30,30,30,30,30,30,0,60,30,30,
30,0,30,60,60,60,0,0,30,30,0,30,0,30,0,30,0,0,0,60,
0,0,270,2160,0,0,2160,2160,2160,0,0,2160,0,2160,0,5,5,
30,30,30,30,30,30,60,60,30,30,30,0,30,60,60,60,0,0,
30,30,60,30,270,30,0,30,0,0,60,60,0,270,90,2160,0,0,
2160,2160,2160,0,360,2160,360,2160,0,5,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,0,0,30,30,30,30,0,
30,30,30,30,30,30,30,0,0,0,77760,0,0,77760,0,0,0,
77760,0,77760,0,0,30,30,30,30,30,30,0,60,30,30,30,0,
30,60,60,60,0,0,30,30,0,30,0,30,0,30,0,0,0,60,0,0,
270,2160,0,0,2160,2160,2160,0,0,2160,0,2160,0,30,30,30,
30,30,60,0,30,30,30,240,30,0,60,0,0,0,30,30,60,30,
810,30,60,30,30,30,30,30,0,810,0,0,0,0,0,6480,6480,0,
1080,6480,1080,6480,0,30,30,30,30,30,30,30,30,30,30,30,
60,0,60,0,0,30,30,120,30,810,30,30,30,240,60,0,60,0,
0,270,0,0,0,6480,6480,6480,0,1080,6480,1080,0,0,30,30,
30,0,60,30,30,30,60,30,30,30,30,0,0,30,30,30,30,0,30,
240,30,60,0,60,0,0,270,270,6480,0,0,0,2160,0,0,1080,
6480,360,0,0,30,30,0,60,30,30,30,60,30,30,30,30,0,0,
30,30,30,30,810,30,240,30,60,0,60,0,0,0,270,6480,0,0,
6480,6480,0,0,1080,6480,1080,0,0,30,60,0,30,30,30,0,30,
0,60,0,0,0,30,30,60,30,270,30,60,30,30,30,30,30,0,
810,0,0,0,0,0,0,0,0,360,2160,6480,6480,0,60,60,30,30,
30,60,30,30,30,30,0,0,30,30,30,30,810,30,60,30,30,30,
30,30,0,810,0,6480,0,0,0,6480,0,0,1080,6480,1080,6480,
0,30,60,30,30,30,60,60,30,60,0,0,30,0,30,30,0,30,30,
0,60,0,60,0,0,0,1080,12960,0,0,12960,12960,0,0,0,0,
2160,0,0,0,30,30,30,0,0,60,0,0,0,30,60,60,30,1620,30,
30,60,30,60,30,60,0,1620,0,0,0,0,0,0,0,0,2160,12960,
51840,12960,0,30,30,0,30,0,60,240,0,0,30,30,60,30,810,
30,60,30,30,30,30,30,0,810,270,6480,0,0,6480,0,0,0,
1080,6480,0,6480,0,30,30,30,60,0,60,0,0,30,30,240,30,
0,30,30,30,0,60,0,60,0,0,90,0,0,0,2160,0,6480,0,6480,
0,2160,2160,0,30,30,60,60,60,0,0,30,30,60,30,810,30,
30,30,30,30,30,30,0,810,270,0,0,0,6480,0,6480,0,1080,
6480,0,6480,0,0,0,60,0,0,0,30,60,60,30,1620,30,30,60,
30,60,30,60,0,1620,0,0,0,0,12960,0,0,0,2160,12960,0,
12960,0,0,60,0,0,0,30,30,60,30,810,30,60,30,30,30,30,
30,0,270,0,0,0,0,0,0,0,0,1080,6480,0,2160,0,30,30,0,
0,60,30,30,30,1620,60,60,30,60,30,60,30,0,1620,0,0,0,
0,0,0,0,0,2160,12960,0,12960,0,30,0,0,0,30,30,30,0,
240,30,30,0,60,0,60,0,0,540,0,0,0,12960,12960,12960,0,
51840,51840,2160,0,0,0,0,60,30,30,30,1620,60,60,30,60,
30,60,30,0,1620,0,0,0,0,0,12960,0,0,2160,12960,2160,
12960,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,30,0,30,0,30,30,30,0,60,0,
60,0,810,270,6480,0,0,6480,0,6480,0,0,0,0,6480,0,30,
30,0,30,0,30,60,0,60,240,0,0,0,2160,0,0,6480,6480,
2160,0,2160,0,1080,6480,0,30,0,0,30,30,0,60,0,60,0,
6480,540,0,0,0,12960,12960,12960,0,0,0,0,0,0,0,30,30,
30,60,60,60,60,0,0,270,6480,0,0,6480,6480,6480,0,0,0,
1080,0,0,0,0,0,0,6480,0,0,0,0,0,0,0,0,0,0,2160,0,0,
0,0,0,0,30,30,0,60,0,60,0,810,270,0,0,0,6480,0,2160,
0,0,0,0,6480,0,0,60,0,60,0,0,0,0,12960,0,0,0,12960,
12960,0,0,0,2160,51840,0,60,0,60,0,0,0,0,6480,0,0,0,
6480,0,0,0,0,1080,0,0,30,30,30,0,0,540,0,0,0,12960,0,
12960,0,0,12960,0,12960,0,30,30,0,0,6480,12960,0,0,0,
12960,0,0,0,12960,2160,0,0,30,0,0,540,0,0,0,12960,0,
12960,0,0,12960,0,0,0,0,3240,0,12960,0,0,0,12960,0,0,
0,0,2160,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,270,0,0,
0,2160,0,0,0,0,0,1080,0,0,0,0,0,0,2160,0,0,0,0,360,
2160,0,0,0,0,0,0,0,2160,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2160,0,0,0,0,0,0,
2160,2160,0,0,2160,2160,0,0,0,0,0,0,0,0,2160,0,0,0,0,
0,0,2160,0,0,5,5,30,30,30,30,30,30,120,0,30,30,30,0,
30,0,240,0,0,0,30,30,0,30,0,30,0,30,0,0,120,0,0,270,
0,0,2160,2160,0,0,0,2160,0,0,0,0,2160,5,30,30,30,30,
30,30,60,60,30,30,30,60,30,0,0,60,270,0,30,30,0,30,0,
30,0,30,0,60,60,60,0,0,0,2160,2160,2160,2160,0,0,2160,
0,0,0,0,2160,30,30,30,30,30,30,0,60,30,30,30,0,30,60,
60,60,0,0,30,30,0,30,0,30,0,30,0,0,0,60,0,0,270,
2160,0,0,2160,2160,2160,0,0,2160,0,2160,0,30,30,30,30,
30,120,0,30,30,30,120,30,120,120,0,270,0,30,30,0,30,0,
30,0,30,0,60,0,0,0,810,0,0,6480,6480,0,1080,1080,0,0,
1080,0,1080,0,30,30,30,30,0,0,30,30,30,60,30,240,0,
120,270,0,30,30,0,30,0,30,0,30,0,120,0,120,0,0,810,0,
6480,0,6480,1080,1080,0,0,1080,0,0,6480,30,30,30,0,120,
30,30,30,120,30,60,60,60,270,0,30,30,0,30,0,30,0,30,
0,120,120,0,0,0,0,0,6480,0,0,360,0,0,0,6480,0,2160,
2160,30,30,0,120,30,30,30,120,30,60,60,60,0,0,30,30,0,
30,0,30,0,30,0,0,120,120,0,0,810,6480,0,0,6480,1080,0,
6480,0,1080,0,0,6480,30,120,0,30,30,30,120,30,0,240,
120,0,0,30,30,0,30,0,30,0,30,0,120,120,120,0,0,810,0,
0,0,6480,0,2160,2160,0,360,0,0,6480,120,120,30,30,30,0,
30,60,60,60,0,0,30,30,0,30,0,30,0,30,0,60,120,60,0,
810,0,6480,0,6480,0,1080,0,6480,0,1080,0,1080,0,0,120,
120,120,120,120,240,60,480,0,0,120,120,0,0,0,120,0,120,
0,0,480,0,0,0,0,25920,0,0,12960,2160,4320,12960,0,2160,
0,0,12960,120,120,60,60,120,0,0,0,1080,0,120,120,0,120,
0,0,0,0,0,240,60,480,0,6480,0,0,12960,25920,0,2160,
2160,0,0,2160,0,0,25920,30,30,0,30,0,120,120,0,0,30,
30,0,30,0,30,0,30,0,0,120,120,0,810,810,6480,0,6480,
6480,0,0,6480,0,1080,0,1080,6480,30,120,30,240,0,120,0,
0,30,30,0,30,0,30,0,30,0,0,120,120,0,0,270,6480,0,
2160,2160,2160,0,6480,0,0,0,0,2160,60,30,0,120,120,270,
0,30,30,0,30,0,30,0,30,0,60,0,120,0,810,810,0,6480,
6480,6480,0,1080,0,0,1080,0,1080,6480,0,0,480,0,0,0,0,
0,0,60,0,60,0,120,0,0,60,0,0,3240,3240,12960,0,25920,
0,0,0,25920,0,0,0,2160,0,120,120,0,0,0,30,30,0,30,0,
30,0,30,0,60,120,0,0,270,0,0,0,2160,2160,2160,1080,
6480,0,1080,0,360,0,60,60,0,0,120,0,0,60,0,120,0,60,
0,120,960,120,0,0,3240,12960,0,25920,12960,0,0,12960,0,
4320,0,0,12960,60,2160,0,120,60,0,0,0,120,0,60,0,240,
0,480,0,0,3240,0,0,0,25920,4320,4320,0,0,0,0,0,12960,
1080,0,120,60,0,60,0,120,0,0,0,60,0,60,0,3240,0,0,
25920,25920,0,2160,6480,0,0,4320,0,2160,0,0,270,0,0,270,
0,90,0,270,0,0,1080,0,0,0,0,2160,0,0,0,0,0,2160,0,
360,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,30,0,30,0,30,0,30,0,240,120,120,0,
810,810,6480,6480,6480,6480,0,1080,6480,0,0,0,1080,6480,
0,30,0,30,0,30,0,0,120,120,0,810,810,2160,2160,6480,
6480,0,0,2160,0,2160,0,6480,6480,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,30,0,120,120,
120,0,0,810,6480,6480,0,6480,1080,1080,6480,0,0,0,0,
6480,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,30,0,120,0,120,0,810,0,2160,2160,6480,0,1080,360,0,0,
2160,0,6480,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,120,240,0,0,810,0,6480,6480,6480,0,1080,1080,0,0,
0,0,1080,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
120,60,0,0,3240,12960,0,0,12960,0,0,25920,0,2160,0,0,
25920,0,0,0,6480,0,12960,0,25920,2160,2160,0,0,2160,0,
4320,12960,0,0,0,12960,12960,12960,0,2160,2160,25920,0,
4320,0,2160,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
2160,1080,0,0,0,0,0,0,0,0,0,2160,0,1080,0,0,0,0,0,
1080,0,0,0,0,0,2160,0,0,2160,0,0,0,0,0,0,2160,2160,0,
2160,0,0,0,0,2160,0,0,0,0,0,2160,2160,2160,0,0,0,0,0,
2160,0,0,0,0,0,0,360,2160,2160,0,360,0,0,0,0,2160,0,
0,0,0,0,0,0,0,0,0,0,0,2160,5,30,30,30,30,30,30,0,
60,30,30,30,0,30,60,0,60,0,0,30,30,60,30,0,30,0,30,
0,0,0,60,0,0,270,2160,0,0,2160,0,0,0,2160,0,2160,0,0,
30,30,30,30,30,30,0,0,30,30,30,0,30,0,0,120,30,30,30,
30,120,30,30,30,0,30,0,0,0,0,30,30,30,60,60,60,60,60,
60,60,60,60,60,60,60,30,30,30,30,30,120,0,30,30,30,0,
30,120,120,0,270,0,30,30,120,30,270,30,0,30,0,0,60,60,
270,270,0,0,1080,1080,0,1080,0,0,1080,0,0,1080,0,30,30,
30,30,60,60,30,30,30,0,30,120,0,0,270,0,30,30,120,30,
270,30,0,30,0,0,0,120,0,0,270,0,1080,0,1080,0,1080,0,
0,1080,1080,0,1080,30,30,30,0,120,30,30,30,0,30,120,60,
60,90,90,30,30,120,30,90,30,0,30,0,0,120,0,30,30,30,
180,180,60,60,60,180,180,180,180,60,60,60,30,30,0,120,
30,30,30,0,30,120,120,60,0,270,30,30,120,30,270,30,0,
30,0,0,120,120,270,0,0,1080,0,0,1080,1080,0,1080,1080,
0,0,0,1080,30,120,0,30,30,30,0,30,0,120,120,30,30,30,
30,120,30,30,30,0,30,0,0,0,60,90,90,90,60,60,180,180,
180,60,60,60,60,180,180,180,120,120,30,30,30,0,30,60,
60,60,0,270,30,30,120,30,270,30,0,30,0,0,60,0,0,0,0,
1080,0,1080,0,1080,0,0,1080,1080,1080,1080,0,60,120,0,
60,0,0,0,60,480,0,1080,60,120,60,0,1080,60,0,120,0,0,
0,0,2160,0,1080,2160,0,0,4320,8640,6480,720,720,0,4320,
0,0,120,60,0,0,120,0,240,0,1080,0,60,240,240,120,0,0,
0,240,0,0,120,480,0,0,0,0,4320,2160,0,2160,4320,0,8640,
0,2160,720,6480,30,30,0,30,0,120,120,0,270,30,30,0,30,
0,30,0,30,0,0,60,60,0,270,270,1080,0,1080,1080,0,0,
1080,0,1080,0,0,1080,30,0,30,120,0,240,90,90,30,30,120,
30,90,30,0,30,0,0,120,240,30,30,30,180,180,60,60,60,
180,180,180,180,60,60,60,0,30,120,0,120,270,0,30,30,0,
30,0,30,0,30,0,0,0,120,0,0,0,0,1080,0,0,0,1080,0,
1080,1080,0,1080,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,120,240,0,90,90,
30,30,120,30,90,30,0,30,0,0,60,0,30,30,30,180,180,60,
60,60,180,180,180,180,60,60,60,120,60,0,0,0,0,0,120,0,
120,0,120,0,0,240,120,0,2160,1080,0,0,2160,2160,0,0,
4320,0,4320,0,2160,720,60,0,0,120,60,60,60,1080,120,0,
120,0,0,0,0,0,0,1080,6480,2160,0,0,0,2160,0,2160,720,
4320,0,8640,0,0,120,60,120,120,2160,120,0,120,0,0,480,
0,0,2160,0,0,2160,0,0,0,2160,2160,720,2160,4320,8640,0,
30,0,30,0,270,30,30,0,270,0,0,1080,1080,0,0,0,0,0,0,
0,0,0,120,0,120,0,0,0,0,30,1080,270,30,30,0,270,0,0,
0,1080,0,0,0,0,0,0,0,0,120,0,120,120,0,0,0,30,0,30,
0,30,0,30,0,0,120,0,0,270,270,1080,1080,1080,1080,0,0,
1080,0,0,0,1080,1080,0,30,30,30,0,30,0,0,240,120,90,
90,90,60,60,180,180,180,60,60,60,60,180,180,180,60,0,0,
0,120,0,0,0,960,0,0,0,0,4320,720,2160,0,0,0,0,0,0,
2160,2160,0,30,0,30,0,0,120,120,270,0,270,0,0,0,0,
1080,1080,0,0,0,1080,0,1080,30,0,0,0,0,0,0,0,0,0,0,
120,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,120,90,90,90,60,
60,180,180,180,60,60,60,60,180,180,180,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,120,0,0,270,0,0,
1080,0,0,1080,1080,0,0,0,1080,1080,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,60,0,0,0,0,4320,0,2160,0,8640,0,4320,4320,720,
6480,720,0,1080,0,720,2160,4320,0,0,2160,2160,0,6480,
8640,4320,0,30,30,0,0,0,0,0,0,0,0,0,0,120,0,30,0,0,
0,120,0,0,0,0,0,120,0,120,0,0,120,0,120,0,0,0,0,120,
120,0,60,0,0,0,60,60,60,60,0,0,0,0,0,0,60,60,60,60,
0,0,0,60,60,0,0,0,0,60,60,60,60,0,0,0,0,60,60,60,0,
0,0,0,60,60,60,60,60,60,0,0,0,60,60,0,0,0,60,0,0,0,
0,0,0,60,60,60,30,30,30,30,30,30,0,0,30,30,30,0,30,
60,60,0,0,0,30,30,60,30,270,30,60,30,60,0,0,0,0,0,0,
0,2160,2160,0,0,0,2160,2160,0,2160,0,2160,30,30,30,30,
30,60,0,30,30,30,0,30,0,60,0,810,0,30,30,60,30,270,
30,60,30,30,30,30,30,0,0,0,0,6480,6480,0,0,0,0,6480,
0,6480,0,0,30,30,30,30,30,30,30,30,30,30,30,60,0,60,
810,0,30,30,240,30,270,30,30,30,0,60,0,60,0,0,810,0,
6480,0,1080,0,0,0,6480,0,6480,0,6480,30,30,30,0,60,30,
30,30,60,30,30,30,30,0,0,30,30,30,30,0,30,240,30,60,
0,60,0,0,0,0,1080,6480,2160,2160,0,0,6480,6480,0,2160,
0,0,30,30,0,60,30,30,30,60,30,30,30,30,0,0,30,30,30,
30,270,30,0,30,60,0,60,240,0,0,810,1080,0,0,1080,0,0,
6480,6480,0,6480,0,6480,30,60,0,30,30,30,0,30,0,60,240,
0,0,30,30,60,30,90,30,60,30,30,30,30,30,0,0,0,2160,
2160,6480,6480,0,0,0,2160,0,0,0,0,60,60,30,30,30,60,
30,30,30,30,0,0,30,30,30,30,270,30,60,30,30,30,30,30,
0,0,0,1080,0,6480,0,0,0,6480,6480,0,6480,0,0,30,60,30,
30,30,60,60,30,60,0,0,30,0,30,30,6480,30,30,0,60,0,
60,0,0,0,6480,2160,0,0,0,0,0,12960,0,0,12960,0,12960,
240,30,30,30,0,0,60,0,0,0,30,60,60,30,540,30,30,60,
30,60,30,60,0,0,0,0,12960,12960,0,0,0,0,12960,0,0,0,
12960,30,30,0,30,0,60,120,0,0,30,30,60,30,270,30,60,
30,30,30,30,30,0,0,810,1080,0,6480,1080,0,0,6480,6480,
0,0,0,6480,30,30,30,60,0,60,810,0,30,30,0,30,0,30,30,
30,0,60,0,60,0,0,270,6480,6480,0,360,0,0,0,0,0,0,0,
2160,30,30,60,60,60,810,0,30,30,60,30,270,30,30,30,30,
30,30,30,0,0,810,0,6480,6480,1080,0,0,0,6480,0,0,0,
6480,0,0,60,0,0,0,30,60,60,30,540,30,30,60,30,60,30,
60,0,0,0,0,0,12960,0,0,0,0,12960,0,0,0,12960,240,60,
0,810,0,30,30,60,30,270,30,60,30,30,30,30,30,0,0,0,0,
6480,2160,0,0,0,0,6480,0,0,0,0,30,30,0,0,60,30,30,30,
540,60,60,30,60,30,60,30,0,0,0,2160,0,12960,51840,0,0,
12960,12960,0,0,0,51840,30,1620,0,0,30,30,30,0,0,30,30,
0,60,0,60,0,0,1620,0,12960,0,2160,0,0,0,0,0,0,0,
12960,6480,0,60,30,30,30,540,60,60,30,60,30,60,30,0,0,
0,0,0,12960,0,0,0,12960,12960,0,0,0,0,0,810,270,1620,
810,270,270,3240,0,1620,0,1620,0,0,0,0,1080,0,0,0,0,0,
0,2160,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,30,0,30,0,30,30,30,0,60,240,60,
0,0,810,1080,6480,6480,1080,0,0,6480,0,0,0,0,6480,30,
30,270,30,0,30,60,0,60,240,0,0,0,360,0,0,1080,0,0,
2160,0,0,6480,0,6480,30,0,0,30,30,0,60,0,60,0,0,1620,
2160,12960,0,2160,0,0,12960,0,0,0,0,12960,0,30,30,30,
60,60,60,60,0,0,810,1080,6480,0,1080,0,0,6480,0,0,6480,
0,6480,0,0,0,0,1080,0,0,0,0,0,360,2160,0,0,0,0,2160,
0,0,0,0,0,30,30,0,60,0,60,0,0,810,0,2160,0,1080,0,0,
0,0,0,0,0,6480,0,60,0,60,0,0,0,0,2160,0,0,0,0,0,
12960,0,0,12960,0,0,60,0,60,0,0,0,0,1080,0,0,0,0,0,
6480,0,0,6480,0,0,30,30,30,0,0,1620,51840,12960,0,2160,
0,0,0,0,0,0,0,12960,30,30,0,0,0,2160,0,0,0,0,0,
12960,12960,0,12960,0,0,30,0,0,1620,0,12960,0,2160,0,0,
0,12960,0,0,0,12960,0,0,0,2160,51840,12960,0,0,0,12960,
0,0,12960,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,2160,0,0,0,0,0,0,0,0,0,
2160,0,0,0,0,2160,2160,0,0,0,0,0,0,0,0,2160,0,0,0,0,
0,2160,0,0,0,0,0,0,0,2160,0,0,0,0,0,2160,0,2160,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,30,30,30,30,30,0,0,30,30,30,0,30,120,0,0,270,0,
30,30,120,30,270,30,120,30,120,0,0,0,0,270,0,0,0,1080,
0,0,1080,0,1080,1080,1080,0,0,30,30,30,30,0,0,30,30,
30,0,30,120,0,120,0,0,30,30,120,30,270,30,120,30,120,
0,0,120,0,0,0,0,1080,0,1080,1080,0,0,1080,0,1080,0,0,
30,30,30,0,120,30,30,30,0,30,60,60,60,90,90,30,30,60,
30,90,30,120,30,0,0,0,0,30,30,30,180,180,60,60,60,180,
180,180,180,60,60,60,30,30,0,120,30,30,30,0,30,60,60,
60,0,270,30,30,60,30,270,30,120,30,120,0,0,120,270,0,
270,1080,0,0,1080,0,0,0,1080,1080,1080,0,1080,30,0,0,
30,30,30,0,30,0,120,120,30,30,30,30,120,30,30,30,0,30,
120,0,0,120,90,90,90,60,60,180,180,180,60,60,60,60,180,
180,180,0,120,30,30,30,0,30,60,60,60,0,270,30,30,60,
30,270,30,120,30,120,0,0,0,270,0,0,0,0,1080,0,1080,0,
1080,1080,1080,0,1080,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
120,120,0,0,120,0,960,0,0,0,120,0,0,120,1080,0,0,240,
60,0,0,480,0,2160,0,0,4320,2160,0,0,0,0,4320,4320,720,
2160,2160,30,30,0,30,0,120,120,0,0,30,30,120,30,0,30,
120,30,0,0,0,120,0,0,270,1080,0,0,1080,0,0,1080,1080,
0,0,1080,0,30,0,30,120,0,120,90,90,30,30,120,30,90,30,
120,30,0,0,0,0,30,30,30,180,180,60,60,60,180,180,180,
180,60,60,60,0,30,0,0,0,270,0,30,30,0,30,0,30,120,30,
0,0,0,120,0,270,0,0,1080,1080,0,0,1080,0,0,1080,0,
1080,1080,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,120,240,0,90,90,30,30,
120,30,90,30,120,30,0,0,0,0,30,30,30,180,180,60,60,60,
180,180,180,180,60,60,60,60,60,0,1080,0,60,60,60,0,240,
240,0,960,0,0,120,0,2160,1080,0,0,2160,2160,0,0,4320,0,
0,0,720,720,60,2160,0,120,60,60,60,1080,120,120,0,0,0,
0,240,1080,0,0,0,720,0,0,4320,2160,0,2160,720,0,0,0,
1080,0,120,60,60,60,0,120,240,60,0,0,0,60,0,1080,0,0,
2160,0,0,0,720,2160,720,2160,4320,4320,0,30,270,30,1080,
0,30,30,1080,270,2160,0,0,1080,0,0,0,120,0,0,0,0,0,0,
0,120,0,0,0,0,30,0,270,30,30,1080,270,0,0,0,2160,0,0,
0,0,120,0,0,0,120,0,0,120,0,0,0,30,0,30,0,30,0,30,
0,0,0,120,0,270,270,1080,0,1080,1080,0,1080,0,0,0,0,0,
1080,60,30,30,30,0,30,120,0,0,120,90,90,90,60,60,180,
180,180,60,60,60,60,180,180,180,60,0,0,60,60,0,0,0,
240,0,1080,0,4320,4320,720,720,2160,0,0,0,0,0,2160,2160,
0,30,0,30,120,0,0,120,270,0,270,0,1080,0,1080,1080,
1080,1080,0,0,0,0,1080,30,0,0,0,0,0,0,0,0,0,120,0,0,
0,0,120,0,0,0,0,0,0,0,30,120,0,0,120,90,90,90,60,60,
180,180,180,60,60,60,60,180,180,180,0,480,0,0,0,2160,
1080,0,4320,0,0,0,2160,4320,4320,0,0,0,720,0,240,0,0,
0,270,270,0,1080,0,1080,0,1080,1080,1080,0,0,1080,0,0,
0,0,0,0,0,1080,720,2160,0,4320,0,2160,0,0,2160,0,4320,
4320,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1080,1080,0,0,720,4320,0,4320,
0,2160,0,0,4320,0,0,30,30,0,0,120,0,0,0,0,0,0,0,120,
120,30,0,0,0,0,0,0,0,0,0,120,0,120,0,0,120,0,0,0,0,
0,0,120,0,0,60,0,0,0,60,60,60,60,0,0,0,0,0,0,60,60,
60,60,0,0,0,60,60,0,0,0,0,60,60,60,60,0,0,0,0,60,
60,60,0,0,0,0,60,60,60,60,60,60,0,0,0,60,60,0,0,0,
60,0,0,0,0,0,0,60,60,60,6,6,6,6,0,0,6,6,6,12,6,12,
0,0,18,0,6,6,12,6,18,6,12,6,12,12,0,0,18,0,0,0,36,
0,0,36,36,0,36,36,36,0,0,6,6,6,0,0,6,6,6,12,6,12,
0,0,18,0,6,6,12,6,18,6,12,6,12,12,0,0,18,0,0,0,36,
0,0,36,36,0,36,36,36,0,0,6,6,0,0,6,6,6,12,6,12,12,
0,0,0,6,6,12,6,18,6,12,6,12,0,12,12,18,0,0,0,0,0,
0,36,0,0,36,36,36,0,0,6,12,0,6,6,6,12,6,0,12,0,0,
0,6,6,12,6,18,6,12,6,6,6,6,6,18,18,0,0,0,36,0,36,
0,0,36,36,36,36,0,12,0,6,6,6,12,6,0,12,0,0,0,6,6,
12,6,18,6,12,6,6,6,6,6,18,18,0,0,0,36,0,36,0,0,36,
36,36,36,0,0,12,12,12,12,12,24,12,0,0,0,12,12,12,12,
36,12,12,12,24,0,0,0,36,0,0,0,0,0,0,72,72,0,72,72,
72,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,6,0,6,0,12,
0,0,0,6,6,12,6,18,6,12,6,6,6,6,6,0,18,0,0,0,36,0,
0,0,0,36,36,0,36,0,6,12,6,12,0,0,18,0,6,6,12,6,18,
6,12,6,0,12,12,12,18,18,0,0,36,36,0,36,36,0,36,36,
36,36,0,0,6,12,12,0,18,0,6,6,12,6,18,6,12,6,6,6,6,
6,0,18,0,0,36,36,0,0,36,0,36,36,0,36,0,0,0,24,0,0,
0,12,12,24,12,36,12,12,12,12,12,12,12,0,36,0,0,72,72,
0,0,0,0,72,72,0,72,0,12,12,0,18,0,6,6,12,6,18,6,12,
6,6,6,6,6,0,18,0,0,36,36,0,0,36,0,36,36,0,36,0,12,
0,0,0,12,12,12,12,36,12,24,12,12,12,12,12,0,36,0,0,
0,72,0,0,0,0,72,72,72,72,0,0,36,0,12,12,12,12,36,12,
12,12,0,24,0,0,36,0,0,0,72,0,0,72,72,0,72,72,72,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,18,18,36,18,18,18,36,18,36,0,36,36,0,
0,0,0,0,0,0,0,0,0,36,36,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,6,0,6,
12,6,0,12,12,12,0,18,0,0,36,36,0,0,36,0,0,0,0,36,0,
12,6,18,6,0,6,12,0,12,12,18,18,0,0,36,36,0,36,36,0,
36,36,36,36,0,12,0,0,12,0,0,24,0,0,0,36,0,0,72,72,
0,72,72,0,0,0,0,72,0,0,6,12,6,12,12,12,12,18,0,0,0,
36,0,0,36,36,0,0,0,36,0,0,0,0,0,0,36,0,0,0,0,0,0,
36,0,0,0,36,0,0,0,0,0,0,0,6,12,12,0,0,18,18,0,0,
36,36,0,36,36,0,0,0,36,36,0,0,24,0,0,0,36,36,0,0,
72,72,0,72,72,0,0,0,72,72,0,12,12,0,0,18,18,0,0,36,
36,0,36,36,0,0,0,36,36,0,6,6,6,0,36,0,0,72,72,0,0,
72,0,0,72,0,72,0,6,6,36,0,0,0,0,72,0,72,0,0,72,72,
72,0,0,6,36,0,0,0,72,0,0,72,72,0,0,72,72,72,0,36,0,
0,0,72,0,0,72,72,0,0,72,72,72,0,18,0,0,0,36,0,0,0,
0,0,0,0,36,0,0,0,0,0,0,36,0,0,0,0,36,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,36,
0,36,36,0,0,0,0,36,0,0,0,0,36,36,0,0,0,0,0,0,0,0,
0,0,0,0,0,36,36,0,0,36,36,0,0,0,0,0,0,0,0,36,0,0,
0,0,0,0,36,0,0,6,6,6,0,0,6,6,6,12,6,12,0,0,18,0,
6,6,12,6,18,6,12,6,12,12,0,0,18,0,0,0,36,0,0,36,36,
0,36,36,36,0,0,6,6,0,0,6,6,6,12,6,0,0,12,0,0,6,6,
12,6,18,6,12,6,12,0,0,12,18,0,18,0,0,0,36,36,0,0,
36,36,36,0,36,6,0,0,6,6,6,12,6,0,0,12,0,0,6,6,12,
6,18,6,12,6,12,0,0,12,18,0,18,0,0,0,36,36,0,0,36,
36,36,0,36,12,12,6,6,6,12,6,12,0,12,0,0,6,6,12,6,
18,6,12,6,12,12,0,12,18,0,0,0,0,0,0,36,0,0,36,36,
36,0,0,6,12,6,6,6,12,0,0,0,0,0,6,12,12,6,36,6,6,
12,12,0,0,0,36,0,0,0,0,0,0,72,72,0,72,72,72,0,72,
12,6,6,6,12,0,0,0,0,0,6,12,12,6,36,6,6,12,12,0,0,
0,36,0,0,0,0,0,0,72,72,0,72,72,72,0,72,6,6,0,6,0,
0,12,0,0,6,6,12,6,18,6,12,6,12,12,0,12,0,0,18,0,0,
0,36,0,0,0,36,36,0,0,36,6,6,6,12,0,12,18,0,6,6,12,
6,18,6,6,6,0,12,0,12,0,0,18,0,36,0,36,0,36,0,36,36,
0,0,36,6,6,12,0,12,18,0,6,6,12,6,18,6,6,6,0,12,0,
12,0,0,18,0,36,0,36,0,36,0,36,36,0,0,36,0,0,0,0,0,
0,6,12,12,6,36,6,6,12,12,24,0,24,0,0,36,0,72,0,72,
0,0,0,72,72,0,0,72,12,0,0,18,0,6,6,12,6,18,6,12,6,
12,12,0,12,18,0,18,0,36,0,36,36,36,0,36,36,36,0,36,
0,12,0,0,12,12,12,12,36,12,24,12,24,12,0,12,0,0,36,
0,0,0,72,0,0,0,72,72,72,0,72,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,36,0,12,
12,12,12,36,12,24,12,24,12,0,12,36,0,0,0,72,0,0,72,
72,0,72,72,72,0,0,0,18,18,36,18,18,18,36,18,36,0,0,
36,0,0,0,0,0,0,0,0,0,0,36,36,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,6,0,
6,6,6,0,12,0,12,0,0,18,0,36,0,36,0,36,0,0,0,0,0,
36,12,6,18,6,0,6,12,0,0,12,18,0,18,0,36,0,36,36,36,
0,36,36,36,0,36,0,0,0,12,12,0,24,0,24,0,0,36,0,72,
0,72,72,72,0,0,0,0,0,72,0,6,6,6,12,12,0,12,18,0,18,
0,36,0,36,36,36,0,0,0,36,0,36,0,0,0,0,36,0,0,0,0,
0,0,36,0,0,0,36,0,0,0,0,0,0,6,6,12,12,0,12,18,0,
18,0,36,0,36,36,36,0,0,0,36,0,36,0,12,0,0,0,36,0,0,
0,72,0,0,72,72,0,0,0,72,0,72,12,12,0,0,18,0,0,0,36,
0,0,36,36,0,0,0,36,0,0,12,0,12,0,0,36,0,72,0,72,0,
72,0,0,72,0,0,72,0,12,36,0,36,0,0,0,72,72,0,0,72,
72,72,0,72,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,36,0,
0,0,72,0,0,72,72,0,0,72,72,0,0,0,18,0,0,0,36,0,0,
0,0,0,0,0,36,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
36,0,0,0,0,36,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,36,
0,36,36,0,0,0,0,0,0,0,0,0,0,0,0,36,0,0,0,0,36,0,
36,0,0,0,0,36,0,36,0,36,36,0,0,0,0,0,0,0,0,36,0,0,
0,0,0,0,0,36,0,6,6,0,12,6,6,6,12,6,6,6,6,0,18,6,
6,6,6,18,6,12,6,12,0,12,0,18,0,0,36,0,0,0,36,0,36,
36,36,36,0,0,6,0,0,6,6,6,12,6,0,12,12,18,18,6,6,12,
6,18,6,12,6,12,12,12,0,18,18,18,36,36,36,36,36,36,36,
36,36,36,36,36,0,12,6,6,6,12,6,6,6,6,0,18,6,6,6,6,
18,6,12,6,12,0,12,0,18,0,0,36,0,0,0,36,0,36,36,36,
36,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,12,12,12,
12,0,0,0,36,0,12,12,24,12,36,12,12,12,12,24,12,0,36,
0,0,0,72,0,0,72,72,0,72,72,72,72,72,6,6,0,6,0,12,
12,0,18,6,6,12,6,18,6,12,6,12,12,12,0,0,18,18,36,0,
36,36,0,0,36,36,36,0,36,36,6,0,6,12,0,0,18,18,6,6,
12,6,18,6,12,6,0,12,12,0,6,6,6,36,36,12,12,12,36,36,
36,36,12,12,12,12,6,12,12,12,18,0,6,6,12,6,18,6,12,
6,12,12,12,0,0,18,18,0,36,36,36,0,36,0,36,36,0,36,
36,0,0,0,0,0,36,12,12,24,12,36,12,12,12,12,24,12,0,
0,36,36,72,72,72,72,0,0,72,72,72,0,72,72,12,0,0,18,
18,6,6,12,6,18,6,12,6,0,12,12,0,6,6,6,36,36,12,12,
12,36,36,36,36,12,12,12,6,6,0,36,12,6,6,6,36,12,12,
6,24,12,24,0,0,36,36,72,0,72,72,0,0,72,72,72,72,72,
72,6,36,0,12,6,6,6,36,12,12,6,0,12,0,0,36,0,0,0,72,
0,0,72,72,0,72,72,72,0,0,36,0,12,6,6,6,36,12,12,6,
0,12,0,0,36,0,0,0,72,0,0,72,72,0,72,72,72,0,0,18,
18,18,36,18,18,18,36,18,36,0,36,0,0,0,0,36,0,0,0,0,
0,36,36,36,0,0,0,18,18,36,18,18,18,36,18,36,36,0,0,
0,0,0,0,36,0,0,0,36,0,36,36,0,0,0,6,0,6,0,6,12,6,
0,12,12,0,0,18,18,36,36,36,36,0,36,36,0,0,0,36,36,6,
6,18,6,0,6,12,0,12,0,18,18,18,36,36,36,36,36,36,36,
36,36,36,36,36,6,0,0,12,6,0,12,0,0,0,36,36,72,72,72,
72,72,72,72,0,0,0,72,72,0,6,0,6,12,12,12,0,18,0,0,
36,36,0,0,36,36,36,0,0,36,0,0,18,0,0,0,36,36,0,0,0,
0,36,36,0,0,0,36,36,0,0,0,0,0,12,6,12,12,0,0,18,18,
18,36,36,36,36,36,36,36,36,36,36,36,36,0,24,0,24,0,
36,0,0,72,72,0,0,72,72,72,0,0,72,72,72,12,12,12,0,
18,0,0,36,36,0,0,36,36,36,0,0,36,0,0,12,12,0,0,36,
36,72,72,72,72,0,72,72,0,72,0,72,72,12,0,36,0,0,72,
0,72,72,72,0,72,72,72,72,0,0,0,36,0,0,0,72,0,0,72,
72,0,72,72,72,72,72,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
6,6,0,0,12,12,0,0,0,0,0,0,12,12,6,0,0,0,0,12,0,0,
0,0,12,0,0,0,0,0,0,12,0,0,0,0,12,0,0,36,0,0,0,36,
36,36,36,0,0,0,0,0,0,36,36,36,36,0,0,0,12,12,0,0,0,
0,12,12,12,12,0,0,0,0,12,12,12,0,0,0,0,12,12,12,36,
36,36,0,0,0,36,36,0,0,0,36,0,0,0,0,0,0,12,12,12,6,
0,0,6,6,6,12,6,0,0,12,0,0,6,6,12,6,18,6,12,6,12,0,
0,12,18,0,18,0,0,0,36,36,0,0,36,36,36,0,36,0,12,6,
6,6,12,6,6,6,6,0,18,6,6,6,6,18,6,12,6,12,0,12,0,
18,0,0,36,0,0,0,36,0,36,36,36,36,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,12,12,12,12,12,0,0,0,0,0,12,12,24,
12,36,12,12,12,12,0,12,24,36,0,0,0,0,0,0,72,0,0,72,
72,72,0,72,6,6,0,6,0,0,12,0,18,6,6,12,6,18,6,12,6,
0,0,12,12,0,0,18,36,0,0,36,0,0,36,36,36,0,0,36,6,0,
6,0,0,12,0,18,6,6,12,6,18,6,12,6,0,0,12,12,0,0,18,
36,0,0,36,0,0,36,36,36,0,0,36,12,6,12,12,12,0,0,6,
6,12,6,18,6,12,6,12,0,12,12,0,0,18,0,0,0,36,0,0,0,
36,36,0,0,36,0,0,0,0,0,36,12,12,24,12,36,12,12,12,
12,0,12,24,0,0,36,72,0,0,72,0,0,72,72,72,0,0,72,12,
12,0,0,18,6,6,12,6,18,6,12,6,12,0,12,12,18,0,18,36,
0,0,36,36,0,36,36,36,36,0,36,6,6,0,0,12,6,6,6,36,
12,12,6,0,0,0,12,0,0,36,72,0,0,72,0,0,0,72,72,72,0,
72,6,0,0,12,6,6,6,36,12,12,6,0,0,0,12,0,0,36,72,0,
0,72,0,0,0,72,72,72,0,72,0,0,12,6,6,6,36,12,12,6,
24,0,24,12,36,0,0,0,0,0,0,72,0,72,72,72,72,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,18,18,36,18,18,18,36,18,36,0,0,36,0,0,0,0,0,0,
0,0,0,0,36,36,0,0,0,6,0,6,0,6,12,6,0,0,12,12,0,0,
18,36,0,0,36,0,0,36,0,0,0,0,36,6,6,0,6,0,6,12,0,
12,12,18,0,18,36,0,0,36,36,0,36,0,0,36,0,36,6,0,0,
12,6,0,0,0,12,0,0,36,72,0,0,72,72,0,72,0,0,0,0,72,
0,6,0,6,12,0,12,12,18,0,18,36,0,0,36,36,0,36,0,0,
36,0,36,18,0,0,0,0,36,0,0,0,0,36,0,0,0,0,0,36,0,0,
0,0,0,12,6,12,0,0,12,18,0,18,36,0,0,36,36,0,36,36,
36,36,0,36,0,24,0,24,0,36,0,0,72,0,0,0,72,0,72,0,0,
72,0,72,12,0,12,0,18,0,0,36,0,0,0,36,0,36,0,0,36,0,
0,0,12,12,0,0,36,72,0,0,72,0,0,72,0,72,0,0,72,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,36,0,36,0,0,0,
72,72,0,0,72,72,72,0,72,36,0,0,72,0,0,0,72,0,72,0,
72,72,0,0,0,18,0,0,0,36,0,0,0,0,0,0,0,36,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,36,0,0,0,0,36,0,0,0,0,
0,0,0,36,36,36,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,36,0,0,0,0,36,0,36,0,0,0,0,36,0,36,0,0,
0,0,0,0,36,36,0,0,0,36,0,0,0,0,0,0,0,36,0,12,0,6,
6,6,12,6,0,12,0,0,0,6,6,12,6,18,6,12,6,6,6,6,6,18,
18,0,0,0,36,0,36,0,0,36,36,36,36,0,0,12,12,12,12,12,
0,12,24,0,0,12,12,12,12,36,12,12,12,24,0,0,0,36,0,
36,0,0,0,72,72,72,72,72,72,72,0,72,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,6,6,0,6,0,12,12,0,0,6,6,12,6,18,6,12,6,
6,6,6,6,0,18,18,0,0,36,36,0,0,0,36,36,0,36,36,6,12,
6,0,0,12,18,18,6,6,12,6,18,6,12,6,0,12,12,12,18,18,
18,36,36,36,36,36,36,36,36,36,36,36,36,0,6,0,12,12,0,
0,6,6,12,6,18,6,12,6,6,6,6,6,0,18,18,0,0,36,36,0,
0,0,36,36,0,36,36,0,0,24,0,0,0,12,12,24,12,36,12,12,
12,12,12,12,12,0,36,36,72,72,72,72,0,0,0,72,72,0,72,
72,0,12,0,18,18,6,6,12,6,18,6,12,6,6,6,6,6,18,18,
18,36,36,36,36,36,36,36,36,36,36,36,36,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,12,0,0,12,12,12,12,36,12,12,12,0,0,0,24,36,0,36,
72,72,0,72,72,0,0,72,72,72,0,72,0,0,12,12,12,12,36,
12,24,12,12,12,12,12,36,36,0,0,0,72,0,72,72,72,72,72,
72,72,0,6,18,6,36,18,6,6,36,18,36,0,0,36,0,0,0,0,0,
0,0,0,0,0,12,12,0,0,0,18,6,36,18,6,6,36,18,36,0,0,
36,0,0,0,0,0,0,0,0,0,0,12,12,0,0,0,6,0,6,0,6,12,
6,0,12,12,12,0,18,18,36,36,36,36,0,36,36,0,0,0,36,
36,0,6,6,6,0,6,12,0,0,12,18,18,18,12,12,36,36,36,12,
12,12,12,36,36,36,12,0,0,12,12,0,0,0,24,0,36,36,72,
72,72,72,72,72,72,0,0,0,72,72,0,6,12,6,12,12,12,12,
18,0,18,36,36,0,36,36,36,36,0,0,36,0,36,6,0,0,0,36,
36,0,0,0,0,12,12,0,0,0,12,12,0,0,0,0,0,0,6,12,0,0,
12,18,18,18,12,12,36,36,36,12,12,12,12,36,36,36,0,24,
0,0,0,36,36,0,72,72,72,0,72,72,72,0,0,72,72,72,12,
12,12,0,18,18,0,36,36,36,0,36,36,36,0,0,36,36,0,6,6,
6,0,36,36,72,72,72,72,0,72,72,0,72,0,72,72,6,6,36,0,
36,0,0,0,72,72,0,0,72,72,72,0,72,6,36,0,36,0,0,0,
72,72,0,0,72,72,72,0,72,36,36,0,72,72,72,0,72,72,72,
0,72,72,72,0,18,18,0,0,36,36,0,0,0,0,0,0,36,36,18,
0,0,0,36,36,0,0,0,0,36,0,36,0,0,36,0,36,0,0,0,0,
36,36,0,12,0,0,0,12,12,12,12,0,0,0,0,0,0,12,12,12,
12,0,0,0,36,36,0,0,0,0,36,36,36,36,0,0,0,0,36,36,
36,0,0,0,0,36,36,36,12,12,12,0,0,0,12,12,0,0,0,12,
0,0,0,0,0,0,36,36,36,12,12,12,12,12,12,12,12,12,0,
36,12,12,12,12,36,12,12,12,24,0,24,0,36,0,0,72,0,0,
0,72,0,72,72,72,72,0,0,12,12,12,12,12,0,24,0,0,0,12,
12,24,12,36,12,12,12,12,12,12,12,36,36,0,0,0,72,0,72,
0,0,72,72,72,72,0,6,6,0,6,0,12,0,0,18,6,6,12,6,18,
6,12,6,6,6,6,6,0,18,0,36,0,36,0,0,0,36,36,36,0,36,
0,6,12,6,12,0,12,0,18,6,6,12,6,18,6,12,6,0,12,12,
12,18,18,0,36,0,36,0,36,0,36,36,36,36,36,0,12,6,12,
12,12,0,0,6,6,12,6,18,6,12,6,6,6,6,6,0,18,0,0,0,
36,0,0,0,0,36,36,0,36,0,0,0,24,0,0,36,12,12,24,12,
36,12,12,12,12,12,12,12,0,36,0,72,0,72,0,0,0,72,72,
72,0,72,0,0,12,0,0,18,6,6,12,6,18,6,12,6,6,6,6,6,
0,18,0,36,0,36,0,0,0,36,36,36,0,36,0,6,6,0,0,12,6,
6,6,36,12,12,6,12,6,12,6,0,36,0,0,0,72,0,0,0,72,72,
72,72,72,0,6,0,0,12,6,6,6,36,12,12,6,0,12,0,12,36,
0,0,72,0,0,0,72,0,0,72,72,72,0,0,0,0,12,6,6,6,36,
12,12,6,12,6,12,6,0,36,0,0,0,72,0,0,0,72,72,72,72,
72,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,18,18,36,18,18,18,36,18,36,36,0,36,0,
0,0,0,0,0,0,0,0,0,36,36,0,0,0,6,0,6,0,6,12,6,0,
12,12,12,0,18,0,36,0,36,0,0,0,36,0,0,0,36,0,6,6,0,
6,0,6,12,0,12,0,18,18,0,36,0,36,0,36,0,36,0,0,36,
36,0,6,0,0,12,6,0,12,0,12,0,36,0,72,0,72,0,72,0,72,
0,0,0,72,0,0,6,12,6,12,12,12,12,18,0,0,36,0,0,0,36,
0,36,0,0,36,0,0,18,0,0,0,0,36,0,0,0,0,36,0,0,0,0,
0,36,0,0,0,0,0,12,6,12,12,0,12,18,18,0,36,0,36,0,
36,0,36,36,36,36,36,0,0,24,0,24,0,36,36,0,72,0,72,0,
72,0,72,0,0,72,72,0,12,0,12,0,18,18,0,36,0,36,0,36,
0,36,0,0,36,36,0,6,6,6,0,36,0,72,0,72,0,0,0,72,0,
72,0,72,0,6,6,36,0,0,72,0,72,0,72,0,72,0,72,72,0,0,
6,36,0,0,0,0,0,0,72,0,0,72,72,72,72,0,36,0,0,72,0,
72,0,72,0,72,0,72,72,0,0,18,0,0,0,36,0,0,0,0,0,0,
0,36,0,0,0,0,0,0,36,0,0,0,0,36,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,36,36,36,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,36,0,0,0,0,36,36,0,0,0,0,0,0,0,0,0,0,0,0,
0,36,36,0,0,0,0,0,0,0,36,36,0,0,0,36,0,0,0,0,0,0,
36,0,0,12,6,6,6,12,0,0,0,0,0,6,12,12,6,36,6,6,12,
12,0,0,0,36,0,0,0,0,0,0,72,72,0,72,72,72,0,72,0,12,
0,12,0,12,24,0,36,12,12,12,12,36,12,12,12,0,0,24,0,
0,0,36,72,0,0,72,0,0,72,72,72,0,0,72,6,6,0,0,0,0,
0,36,6,12,12,6,36,6,6,12,0,0,12,0,0,0,36,72,0,0,72,
0,0,72,72,72,0,0,72,6,12,24,12,24,0,0,6,12,12,6,36,
6,6,12,12,0,12,0,0,0,36,0,0,0,72,0,72,0,72,72,0,0,
72,0,0,0,0,0,36,6,12,12,6,36,6,6,12,0,0,12,0,0,0,
36,72,0,0,72,0,0,72,72,72,0,0,72,24,12,0,0,36,12,12,
12,12,36,12,12,12,0,0,24,0,36,0,36,72,0,0,72,72,72,
72,72,72,72,0,72,0,12,0,0,24,12,12,12,72,24,12,12,0,
0,0,0,0,0,72,0,0,0,144,0,0,144,144,144,144,0,144,0,
0,0,12,12,6,6,36,12,6,12,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,72,72,0,0,0,0,0,24,12,12,12,72,24,12,12,0,0,0,
0,72,0,0,0,0,0,0,144,144,0,144,144,144,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
36,36,72,36,36,36,36,36,72,0,0,0,0,0,0,0,0,0,0,0,
216,0,72,72,0,0,0,12,0,6,0,6,6,12,0,0,12,0,0,0,36,
72,0,0,72,0,72,72,0,0,0,0,72,12,0,0,12,0,12,24,0,
24,0,36,0,36,72,0,0,72,72,72,72,72,0,72,0,72,6,0,0,
6,12,0,0,0,0,0,0,72,72,0,0,72,72,72,72,0,0,0,0,72,
0,6,6,0,12,0,12,0,36,0,0,72,0,0,0,72,72,72,0,0,72,
0,72,36,0,0,0,0,72,0,0,0,0,72,0,0,0,0,216,72,0,0,
0,0,0,6,12,12,0,0,0,36,0,36,72,0,0,72,72,72,72,72,
72,72,0,72,0,12,0,12,0,36,0,0,72,0,0,0,72,72,72,0,
0,72,0,72,24,0,24,0,36,0,0,72,0,0,0,72,72,72,0,0,
72,0,0,0,12,0,0,0,72,144,0,0,144,0,144,144,0,144,0,
0,144,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,72,0,0,
0,0,0,0,144,144,0,144,144,144,0,144,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,36,0,0,0,72,0,0,0,0,0,0,0,72,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,72,0,0,0,0,72,0,0,
0,0,0,0,216,0,72,72,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,72,0,0,0,0,72,0,72,0,0,0,0,72,0,
72,72,72,216,0,0,0,72,72,0,0,0,0,0,0,0,0,0,0,0,72,
0,12,0,0,12,0,24,0,0,0,12,12,24,12,36,12,12,12,12,
12,12,12,0,36,0,0,0,72,0,0,0,0,72,72,0,72,72,6,6,
12,0,0,0,36,0,6,12,12,6,36,6,6,12,0,24,12,24,36,36,
0,0,72,72,0,72,72,0,72,72,72,72,72,6,0,0,12,0,0,0,
6,12,12,6,36,6,6,12,6,12,6,12,0,36,0,0,72,72,0,0,0,
0,72,72,0,72,72,0,0,12,0,0,0,6,12,12,6,36,6,6,12,6,
12,6,12,0,36,0,0,72,72,0,0,0,0,72,72,0,72,72,0,24,
0,36,0,12,12,24,12,36,12,12,12,12,12,12,12,0,36,0,0,
72,72,0,0,72,0,72,72,72,72,72,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
12,24,12,12,72,12,12,24,0,0,0,0,72,0,0,0,144,0,0,
144,0,0,144,144,144,0,144,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,36,36,72,36,
36,36,36,36,72,0,36,72,0,0,0,0,0,0,0,0,0,0,72,72,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,12,0,6,0,6,6,12,0,24,12,24,0,36,0,0,72,
72,0,0,72,0,0,0,0,72,72,0,12,36,0,0,12,12,0,12,24,
36,36,0,0,72,72,0,72,72,0,72,72,72,72,72,12,0,0,0,0,
0,0,0,0,0,72,0,0,144,144,0,144,144,0,0,0,0,144,144,
0,6,6,12,12,24,12,24,36,0,0,0,72,0,0,72,72,0,0,0,
72,0,72,0,0,0,0,72,36,0,0,0,0,0,72,0,0,0,72,0,0,0,
0,0,0,6,0,12,0,0,0,36,36,0,0,72,72,0,72,72,0,0,0,
72,72,72,0,12,0,0,0,36,36,0,0,72,72,0,72,72,0,0,0,
72,72,72,12,24,12,0,36,36,0,0,72,72,0,72,72,0,0,0,
72,72,0,12,6,12,0,72,0,0,72,72,0,0,72,0,0,72,0,72,
72,0,12,72,0,0,0,0,144,0,144,0,0,144,144,144,0,144,0,
36,0,0,0,72,0,0,72,72,0,72,72,72,72,72,72,0,0,0,144,
0,0,144,144,0,0,144,144,144,0,36,0,0,0,72,0,0,0,0,0,
0,0,72,216,0,0,0,0,0,72,0,0,0,0,72,0,216,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,72,
0,72,72,0,0,0,0,72,0,0,0,0,72,72,216,0,0,0,0,0,0,
0,0,0,0,0,0,72,72,216,0,72,72,0,0,0,0,0,0,0,0,72,
0,0,0,0,0,0,72,72,72,6,0,6,0,0,12,0,18,6,6,12,6,
18,6,12,6,0,0,12,12,0,0,18,36,0,0,36,0,0,36,36,36,
0,0,36,0,6,0,12,12,0,0,6,6,12,6,18,6,12,6,6,6,6,6,
0,18,18,0,0,36,36,0,0,0,36,36,0,36,36,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,12,0,0,18,6,6,12,6,18,6,12,6,6,6,6,6,0,18,
0,36,0,36,0,0,0,36,36,36,0,36,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,
0,0,12,12,12,12,36,12,12,12,0,0,0,24,0,0,36,72,0,0,
72,0,0,0,72,72,0,0,72,0,0,12,12,12,12,36,12,24,12,
12,12,12,12,0,36,0,0,0,72,0,0,0,72,72,72,0,72,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,18,18,36,18,18,18,36,18,36,36,0,36,0,0,0,0,0,
0,0,0,0,0,36,36,0,0,0,6,0,6,0,6,0,6,0,0,12,12,0,
18,18,36,0,36,36,0,0,36,0,0,0,36,36,0,6,0,6,0,6,0,
0,12,12,0,18,18,36,0,36,36,0,0,36,0,0,0,36,36,12,0,
0,12,12,0,0,0,24,0,36,36,72,0,72,72,0,0,72,0,0,0,
72,72,0,6,12,6,12,12,12,12,0,0,18,36,0,0,36,0,0,36,
0,0,0,0,36,18,0,0,0,0,36,0,0,0,0,36,0,0,0,0,0,36,
0,0,0,0,0,12,6,12,12,0,12,0,18,18,36,0,36,36,0,0,
36,36,36,0,36,36,0,0,0,24,0,0,36,0,72,0,72,0,0,0,
72,0,0,0,72,72,12,12,12,0,0,18,0,36,0,36,0,0,0,36,
0,0,0,36,0,6,6,6,0,0,36,72,0,72,72,0,0,72,0,72,0,
0,72,6,6,0,0,36,72,0,72,72,0,0,72,0,72,0,0,72,6,0,
0,36,0,0,0,72,0,0,0,72,72,0,72,72,0,36,0,72,0,72,0,
0,0,72,0,72,0,72,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
18,0,0,0,36,0,0,0,0,0,0,0,36,0,0,36,0,0,0,0,0,0,
0,36,0,0,0,0,0,0,36,36,36,0,0,0,0,0,0,0,0,0,0,0,
0,0,36,0,0,0,0,0,0,36,36,0,0,0,0,0,0,36,36,0,0,0,
0,0,0,0,0,0,0,0,0,0,36,36,0,0,0,36,0,0,0,0,0,0,0,
0,36,6,6,12,0,12,18,0,6,6,12,6,18,6,6,6,0,12,0,12,
0,0,18,0,36,0,36,0,36,0,36,36,0,0,36,0,0,0,0,0,36,
6,12,12,6,36,6,6,12,0,0,12,0,0,0,36,72,0,0,72,0,0,
72,72,72,0,0,72,12,0,0,18,18,6,6,12,6,18,6,12,6,0,
12,12,0,6,6,6,36,36,12,12,12,36,36,36,36,12,12,12,0,
12,0,36,12,12,12,12,36,12,24,12,0,12,24,12,0,0,36,72,
0,0,72,0,0,72,72,72,72,72,72,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,36,0,12,
12,12,12,36,12,24,12,0,12,24,12,36,36,0,0,72,72,0,72,
72,72,72,72,72,72,0,18,18,18,36,18,18,18,36,18,0,0,
36,36,0,0,0,36,0,0,0,0,0,36,36,36,0,0,0,18,18,36,
18,18,18,36,18,0,36,0,36,0,0,0,0,36,0,0,0,36,0,36,
36,0,0,0,6,0,6,0,6,6,6,0,12,12,12,0,0,18,36,36,0,
36,0,36,36,0,0,0,0,36,12,6,18,6,0,6,0,0,12,12,18,
18,18,36,36,36,36,36,36,36,36,36,36,36,36,0,0,0,12,
12,0,24,0,24,0,0,36,72,72,72,72,72,72,72,0,0,0,0,72,
0,6,6,6,0,12,12,12,0,0,18,36,36,0,36,0,36,36,0,0,0,
0,36,18,0,0,0,36,36,0,0,0,0,36,36,0,0,0,36,36,0,0,
0,0,0,6,6,0,12,0,12,18,18,18,36,36,36,36,36,36,36,
36,36,36,36,36,0,0,0,12,0,36,36,0,72,72,72,0,72,72,
72,0,0,72,72,72,0,12,12,0,18,18,0,36,36,36,0,36,36,
36,0,0,36,36,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,12,12,0,0,36,72,0,72,72,72,0,72,72,72,0,0,72,12,0,
0,36,0,72,0,72,0,72,0,72,72,72,72,72,36,36,0,72,72,
72,0,72,72,72,0,72,72,72,0,6,6,0,0,0,12,0,0,0,0,0,
0,0,12,6,0,0,0,12,0,0,0,0,0,0,0,12,0,0,12,0,12,0,
0,0,0,12,12,0,36,0,0,0,36,36,36,36,0,0,0,0,0,0,36,
36,36,36,0,0,0,12,12,0,0,0,0,12,12,12,12,0,0,0,0,
12,12,12,0,0,0,0,12,12,12,36,36,36,0,0,0,36,36,0,0,
0,36,0,0,0,0,0,0,12,12,12,0,0,12,0,0,0,6,12,12,6,
36,6,6,12,6,12,6,12,0,36,0,0,72,72,0,0,0,0,72,72,0,
72,72,12,12,0,18,0,6,6,12,6,18,6,12,6,6,6,6,6,0,18,
0,0,36,36,0,0,36,0,36,36,0,36,0,12,12,0,0,12,12,12,
12,36,12,24,12,12,12,12,12,0,36,36,0,0,72,72,0,0,0,
72,72,0,72,72,12,36,0,12,12,12,12,36,12,12,12,0,24,0,
24,0,0,36,0,72,0,72,0,72,0,72,72,0,0,72,36,0,12,12,
12,12,36,12,24,12,12,12,12,12,0,36,0,0,72,72,0,0,72,
0,72,72,0,72,0,0,18,18,36,18,18,18,36,18,36,0,36,36,
0,0,0,0,0,0,0,0,0,0,36,36,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,6,0,6,
6,6,0,12,0,12,0,18,18,0,36,36,36,0,36,0,0,0,0,36,
36,12,6,18,6,0,6,12,0,12,12,0,18,18,0,36,36,36,0,36,
0,36,36,0,36,36,12,0,0,12,12,0,24,0,24,0,36,36,0,72,
72,72,0,72,0,0,0,0,72,72,0,6,6,6,12,12,12,12,0,0,
18,0,36,0,36,0,36,0,0,0,0,0,36,0,0,0,0,36,0,0,0,0,
0,0,36,0,0,0,36,0,0,0,0,0,0,6,6,0,12,0,12,0,18,18,
0,36,36,36,0,36,0,0,0,0,36,36,0,12,0,12,0,0,36,0,0,
72,72,0,0,72,0,0,0,0,72,72,12,12,12,0,0,18,0,0,36,
36,0,0,36,0,0,0,0,36,0,6,6,6,0,0,36,0,72,0,72,0,
72,0,0,72,0,72,72,6,6,0,0,36,0,0,72,72,0,0,0,72,72,
0,0,72,6,0,0,36,0,72,0,72,0,72,0,0,72,0,72,72,0,36,
0,0,72,72,0,0,72,0,0,72,0,72,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,18,0,0,0,36,0,0,0,0,0,0,0,36,0,0,36,0,
0,0,0,0,0,0,36,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,36,
0,36,36,0,0,0,36,0,0,0,0,0,0,36,36,0,0,0,0,0,0,36,
36,0,0,0,0,0,0,0,0,36,36,0,0,0,0,0,0,0,0,36,0,0,
0,0,0,0,0,0,36,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,12,24,12,12,72,12,12,24,0,0,0,0,0,0,72,144,0,0,
144,0,0,0,144,144,0,0,144,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,36,36,
72,36,36,36,36,36,36,72,0,72,0,0,0,0,216,0,0,0,0,0,
72,72,0,0,0,0,0,6,0,6,6,0,0,0,12,0,0,36,0,72,72,
72,0,0,0,72,0,0,0,72,72,0,12,0,12,0,12,12,0,12,24,
0,36,36,72,72,72,72,0,0,72,0,72,0,72,72,12,0,0,0,0,
0,0,0,0,0,72,0,144,144,144,144,0,0,144,0,0,0,144,0,
0,6,6,12,12,24,12,24,0,0,36,72,72,0,72,0,0,72,0,0,
0,0,72,36,0,0,0,0,72,0,0,0,0,72,216,0,0,0,0,72,0,
0,0,0,0,6,12,12,24,0,24,0,36,36,72,72,72,72,0,0,72,
72,72,0,72,72,0,0,0,12,0,0,36,0,72,72,72,0,0,0,72,
0,0,0,72,72,12,24,12,0,0,36,0,72,72,72,0,0,0,72,0,
0,0,72,0,0,6,0,0,36,36,72,72,72,72,0,0,72,0,72,0,
72,72,12,12,0,0,72,144,0,144,144,0,0,144,0,144,0,0,
144,12,0,0,72,0,72,0,72,0,0,0,72,72,0,72,72,0,72,0,
144,144,144,0,0,0,144,0,0,0,144,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,36,0,0,0,72,0,0,0,0,0,0,0,72,0,0,72,
0,0,0,0,0,0,0,72,0,72,0,0,0,0,0,72,72,0,0,0,0,0,
0,0,216,216,72,0,0,0,72,0,0,0,0,0,0,72,72,0,0,0,0,
0,0,72,72,0,0,0,0,0,0,0,0,0,0,0,0,0,72,72,0,0,0,
0,0,0,0,0,0,0,0,0,72,12,0,0,36,12,12,12,12,36,12,
24,12,12,12,12,12,0,36,0,72,0,72,0,0,0,72,72,72,72,
72,72,0,36,0,12,12,12,12,36,12,12,12,0,24,0,0,36,0,
36,72,72,0,72,72,72,0,72,72,72,0,72,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,18,
18,18,36,18,18,18,36,18,36,0,36,36,0,0,0,36,0,0,0,0,
0,36,36,36,0,0,0,18,18,36,18,18,18,36,18,36,36,0,36,
0,0,0,0,36,0,0,0,36,0,36,36,0,0,0,6,0,6,0,6,0,6,
0,12,12,0,0,18,0,36,36,36,0,0,36,36,0,0,0,36,0,12,
6,18,6,0,6,12,0,12,12,18,18,18,36,36,36,36,36,36,36,
36,36,36,36,36,12,0,0,12,0,0,24,0,0,0,36,0,72,72,72,
72,72,72,72,0,0,0,72,0,0,6,12,6,12,12,12,12,18,0,18,
36,36,0,36,36,36,36,0,0,36,0,36,18,0,0,0,36,36,0,0,
0,0,36,36,0,0,0,36,36,0,0,0,0,0,12,6,12,12,0,12,18,
18,18,36,36,36,36,36,36,36,36,36,36,36,36,0,0,0,24,0,
0,36,0,72,72,72,0,0,72,72,0,0,72,72,72,0,12,12,0,0,
18,0,36,36,36,0,0,36,36,0,0,0,36,0,6,6,6,0,36,0,72,
72,72,0,0,72,72,0,72,0,72,0,6,6,36,0,36,72,0,72,72,
72,0,72,72,72,72,0,72,6,36,0,36,0,72,0,72,72,72,0,
72,72,72,72,72,0,36,0,72,72,72,0,0,72,72,0,72,0,72,
0,6,6,0,0,12,0,0,0,0,0,0,0,12,0,6,0,0,0,12,12,0,
0,0,0,12,0,12,0,0,12,0,0,0,0,0,0,0,12,0,36,0,0,0,
36,36,36,36,0,0,0,0,0,0,36,36,36,36,0,0,0,12,12,0,
0,0,0,12,12,12,12,0,0,0,0,12,12,12,0,0,0,0,12,12,
12,36,36,36,0,0,0,36,36,0,0,0,36,0,0,0,0,0,0,12,12,
12,6,0,0,12,6,6,6,36,12,12,6,0,0,0,12,0,0,36,72,0,
0,72,0,0,0,72,72,72,0,72,0,0,12,6,6,6,36,12,12,6,
12,6,12,6,0,36,0,0,0,72,0,0,0,72,72,72,72,72,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,36,36,36,36,36,36,72,36,72,0,0,72,0,0,0,0,0,0,
0,0,0,0,72,72,0,0,0,0,0,12,0,12,0,12,0,12,24,12,0,
36,36,72,0,72,72,0,0,72,0,0,0,72,72,6,6,0,0,0,6,0,
0,0,12,0,36,36,72,0,72,72,0,0,72,0,0,0,72,72,6,0,0,
0,6,0,0,0,12,0,36,36,72,0,72,72,0,0,72,0,0,0,72,72,
0,12,12,6,24,12,24,12,0,0,36,72,0,0,72,0,0,72,0,0,
72,0,72,36,0,0,0,0,72,0,0,0,0,72,0,0,0,0,0,72,0,0,
0,0,0,0,12,24,12,0,12,0,36,36,72,0,72,72,0,0,72,72,
72,72,72,72,0,0,0,0,0,0,72,0,144,0,144,0,0,0,144,0,
0,0,144,144,24,12,24,0,0,36,0,72,0,72,0,0,0,72,0,0,
72,72,0,0,12,12,0,0,72,144,0,0,144,0,0,144,0,144,0,
144,144,0,6,0,0,36,0,0,0,72,0,0,0,0,0,0,0,72,12,0,
0,72,0,0,0,144,0,0,0,144,144,144,0,144,0,72,0,72,0,
72,0,0,0,72,0,72,72,72,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,36,0,0,0,72,0,0,0,0,0,216,0,72,0,0,72,0,0,0,0,
0,0,216,72,0,0,0,0,0,0,72,72,72,0,0,0,0,0,0,0,0,0,
0,0,0,0,72,0,0,0,0,0,216,0,72,0,0,0,0,0,216,72,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,72,72,0,0,0,72,0,0,0,0,
0,0,72,72,72,36,0,12,6,6,6,36,12,12,6,0,12,0,0,36,
0,0,0,72,0,0,72,72,0,72,72,72,0,0,0,36,36,36,36,36,
36,72,36,0,0,0,72,0,0,0,216,0,0,0,0,0,0,72,72,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,12,0,0,0,12,12,12,0,24,0,24,0,0,36,72,72,0,
72,0,72,0,0,0,0,0,72,6,6,36,12,0,6,0,0,0,12,36,0,
36,72,72,0,72,72,72,0,72,72,72,0,72,6,0,0,6,6,0,12,
0,12,0,0,36,72,72,0,72,72,72,0,0,0,0,0,72,0,0,6,6,
0,12,0,12,0,0,36,72,72,0,72,72,72,0,0,0,0,0,72,0,0,
0,0,72,0,0,0,0,0,216,72,0,0,0,72,0,0,0,0,0,0,12,
12,0,24,0,24,36,0,36,72,72,0,72,72,72,0,0,72,72,0,
72,0,0,0,0,0,72,0,0,72,72,0,0,72,72,0,0,0,72,0,72,
0,12,0,0,36,0,0,72,72,0,0,72,72,0,0,0,72,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,0,0,72,144,
0,0,144,144,0,0,144,144,0,0,144,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,72,0,0,0,144,0,0,144,144,0,0,144,144,
0,0,0,36,0,0,0,72,0,0,0,0,0,0,0,72,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,72,0,0,0,0,72,0,0,72,0,0,0,
216,0,216,72,0,0,0,0,0,0,0,0,72,72,0,0,0,0,0,0,0,
0,0,0,0,0,72,0,0,0,0,72,0,72,0,0,0,0,72,0,72,0,72,
72,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,72,0,0,36,36,
36,36,36,36,72,36,72,0,72,36,0,0,0,0,0,0,0,0,0,216,
72,72,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,12,0,12,0,12,0,0,0,12,24,12,0,
36,0,0,72,72,0,0,72,72,0,0,0,72,0,6,6,36,12,0,6,24,
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0,0,0,0,12,12,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12 ],
sizesset :=
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1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,17,1,1,1,1,34,1,15,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,10,1,10,1,10,7,10,1,1,17,17,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,10,1,11,1,11,1,1,34,34,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,11,1,11,1,1,15,15,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,10,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,7,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,3,65,65,152,1,65,152,1,54,1,1,83,83,
147,83,147,35,83,147,35,277,9,9,9,29,29,10,1,1,9,29,10,
1,29,1,1,1,1,1,9,9,1,10,1,29,1,29,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,65,65,152,1,65,152,1,54,1,1,83,83,
147,83,147,35,83,147,35,277,9,9,9,29,29,10,1,1,9,29,10,
1,29,1,1,1,1,1,9,9,1,10,1,29,1,29,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,39,39,1,13,104,398,104,408,1,89,89,
210,89,210,311,89,210,311,169,7,48,48,13,67,67,1,1,7,13,
67,1,67,1,1,1,1,1,13,13,172,13,1,48,172,48,1,1,116,116,
1,298,1,1,1,1,1,1,1,1,213,1,1,213,1,39,1,39,39,408,30,
1,1,89,89,210,89,210,311,89,210,311,169,7,13,13,48,67,67,
1,1,7,48,67,1,67,1,1,1,1,1,48,48,1,13,298,28,1,28,116,
116,1,1,1,1,1,1,1,1,1,1,1,1,1,213,1,213,1,1,104,138,1,
104,1,1,248,248,349,248,349,362,248,349,362,427,31,80,80,
80,46,160,1,1,31,80,160,1,46,1,1,1,1,1,70,70,113,17,52,
70,113,70,230,230,1,1,1,1,1,1,1,1,1,1,1,1,81,81,1,101,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,39,1,104,1,1,89,89,210,89,210,
311,89,210,311,169,7,48,48,13,67,67,172,1,7,13,67,1,67,1,
172,1,1,1,13,13,1,13,1,48,1,48,1,1,116,116,1,298,1,1,1,
213,1,1,1,1,1,213,1,1,1,1,104,1,1,248,248,349,248,349,
362,248,349,362,427,31,70,70,70,17,70,113,1,31,70,70,1,17,
1,113,1,1,1,80,80,1,17,1,160,1,160,1,1,1,1,1,52,1,1,1,
81,1,1,1,1,1,101,1,81,1,1,1,1,1,1049,1,1,1,1,1,1,1,1,
76,1,1,1,1,1,1,1,76,1,1,1,1,1,1,1,1,1,1,1,149,1,1,1,
149,1,1,1,1,1,1,1,1,1,1,516,1,1,1,1,1,1,1,1,1,1,1,
364,364,452,364,452,145,364,452,145,441,13,134,134,104,42,
17,205,1,13,104,17,1,42,1,205,1,1,1,104,104,205,7,309,
134,205,134,327,327,265,265,1,1,1,1,1,323,1,1,1,1,323,1,
1,1,1,1,1,1,1,1036,1,1,1,1,1,1,76,1,1,1,1,1,149,1,76,
1,1,1,1,1,149,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,516,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,39,39,31,81,81,
31,20,57,57,11,108,108,108,95,210,302,1,11,108,210,1,95,1,
302,1,1,1,108,108,233,13,691,190,233,190,1,1,1,1,1,318,1,
1,1,453,1,1,1,1,924,924,1,924,1,39,39,39,24,31,81,81,43,
11,108,108,108,95,210,1,1,11,108,210,1,95,1,1,1,1,1,108,
108,233,13,1,190,233,190,300,300,1,1,1,1,1,1,1,1,1,1,1,
1,924,453,1,453,1,81,110,81,20,168,144,168,31,210,210,210,
137,355,1,1,31,210,355,1,137,1,1,1,1,1,210,210,1,40,656,
267,1,267,463,463,1,1,1,1,1,1,1,1,1,1,1,1,574,868,1,
868,1,39,81,39,39,24,43,11,108,108,108,95,210,302,1,11,
108,210,1,95,1,302,1,1,1,108,108,302,13,318,190,302,190,1,
1,300,300,1,691,1,1,1,453,1,1,1,1,453,1,1,1,1,81,81,
110,81,13,31,210,210,210,137,355,1,1,31,210,355,1,137,1,1,
1,1,1,210,210,320,40,1,267,320,267,593,593,593,593,1,656,
1,1,1,1,1,1,1,1,868,1,1,1,1,57,144,16,57,13,221,221,
221,90,62,203,1,13,221,62,1,90,1,203,1,1,1,221,221,203,8,
555,128,203,128,343,343,238,238,1,555,1,1,1,1,1,1,1,1,
613,889,1,889,1,39,81,57,11,108,108,108,95,210,233,1,11,
108,210,1,95,1,233,1,1,1,108,108,1,13,1,190,1,190,1,1,1,
1,1,691,1,1,1,924,1,1,1,1,1,453,1,453,1,81,168,31,210,
210,210,137,355,320,1,31,210,355,1,137,1,320,1,1,1,210,
210,1,40,1,267,1,267,1,1,463,463,1,282,1,1,1,868,1,1,1,
1,1,1,1,1,1,57,13,221,221,221,90,62,146,1,13,221,62,1,
90,1,146,1,1,1,221,221,146,8,293,128,146,128,238,238,343,
343,1,1,1,1,1,889,1,1,1,1,889,1,1,1,1,22,335,335,335,
87,182,1,1,22,335,182,1,87,1,1,1,1,1,335,335,280,17,1,
219,280,219,1,1,1,1,1,1,1,1,1,1,1,1,1,1,694,1,1,1,1,
5,5,5,7,7,9,1,2,5,7,1,7,1,9,1,1,1,5,5,9,4,11,5,9,5,
5,5,5,5,1,11,1,1,1,11,1,1,1,1,11,11,1,11,1,5,14,14,
14,1,1,5,14,14,1,14,1,1,1,1,1,9,9,16,10,29,10,16,10,
29,29,1,1,1,1,1,1,1,1,1,1,1,1,45,45,1,1,1,14,14,14,1,
1,5,14,14,1,14,1,1,1,1,1,9,9,16,10,29,10,16,10,29,29,
1,1,1,1,1,1,1,1,1,1,1,1,45,45,1,1,1,14,14,1,1,5,5,
14,1,14,1,1,1,1,1,10,10,16,10,29,9,16,9,1,1,29,29,1,1,
1,1,1,1,1,1,1,1,45,45,1,1,1,7,29,1,7,14,7,1,4,1,29,
1,1,1,14,14,29,6,13,14,29,14,14,14,14,14,1,13,1,1,1,19,
1,1,1,1,17,17,1,19,1,10,1,7,14,4,1,7,1,10,1,1,1,14,
14,10,6,36,14,10,14,14,14,14,14,1,36,1,1,1,67,1,1,1,1,
52,52,1,67,1,1,9,1,10,1,29,1,3,1,1,1,16,16,7,7,55,16,
7,16,1,1,1,1,1,1,1,1,1,1,1,1,1,1,102,102,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,5,7,1,7,1,9,1,1,1,5,5,9,4,11,5,
9,5,5,5,5,5,1,11,1,1,1,11,1,1,1,1,11,11,1,11,1,14,1,
14,1,1,1,1,1,10,10,16,10,29,9,16,9,1,1,29,29,1,1,1,1,
1,1,1,1,1,1,45,45,1,1,1,1,7,1,10,1,1,1,14,14,10,6,36,
14,10,14,14,14,14,14,1,36,1,1,1,67,1,1,1,1,52,52,1,67,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,29,1,1,1,14,14,29,6,13,14,29,14,
14,14,14,14,1,13,1,1,1,19,1,1,1,1,17,17,1,19,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,16,16,7,7,55,16,7,16,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,102,102,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,1,10,1,
14,1,14,1,1,29,29,1,29,1,1,1,45,1,1,1,1,1,1,1,45,1,1,
10,1,14,1,14,1,1,29,29,1,29,1,1,1,45,1,1,1,1,1,1,1,
45,1,7,1,1,3,1,1,1,1,1,1,55,1,1,1,102,1,1,1,1,1,1,1,
102,1,1,10,7,10,13,13,13,13,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,5,29,29,1,1,1,29,1,1,1,48,1,1,1,1,1,1,1,48,1,1,1,
1,1,1,1,55,1,1,1,102,1,1,1,1,1,1,1,102,1,29,29,1,1,1,
29,1,1,1,48,1,1,1,1,1,1,1,48,1,5,14,14,1,1,1,1,1,318,
1,1,1,1,1,318,1,1,1,14,14,1,1,1,1,1,318,1,1,1,1,1,
318,1,1,1,5,1,1,1,1,1,1,1,1,1,1,1,318,1,318,1,1,1,1,
1,1,1,1,1,1,1,1,318,1,318,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,81,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,81,1,1,1,1,1,1,1,1,1,65,65,152,1,65,
152,1,54,1,1,83,83,147,83,147,35,83,147,35,277,9,9,9,29,
29,10,1,1,9,29,10,1,29,1,1,1,1,1,9,9,1,10,1,29,1,29,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,39,39,1,13,
104,1,104,1,1,89,89,210,89,210,311,89,210,311,169,13,7,13,
13,13,13,1,1,48,67,67,116,48,172,1,1,298,1,7,48,1,67,1,
67,116,48,1,172,1,1,1,1,1,1,1,1,1,1,213,1,1,1,1,1,213,
39,1,39,39,1,30,1,408,89,89,210,89,210,311,89,210,311,169,
48,7,48,48,48,13,116,116,13,67,67,1,28,1,1,1,1,1,7,13,
1,67,1,67,1,28,1,1,1,1,1,1,298,1,213,1,1,1,1,1,1,1,1,
1,213,1,104,138,1,104,1,1,248,248,349,248,349,362,248,349,
362,427,80,31,80,70,70,17,1,1,70,17,70,1,160,113,1,1,52,
1,31,70,1,70,1,17,1,160,1,113,1,1,1,1,1,1,81,1,1,1,81,
1,1,1,1,1,101,408,1,1,1,1,1,1,1036,1,1,1,1,1,1,1,1,1,
76,1,1,1,1,1,1,1,1,1,1,1,149,1,1,1,1,76,1,1,1,1,1,1,
1,1,149,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,516,39,1,104,
1,398,89,89,210,89,210,311,89,210,311,169,13,7,13,13,13,
13,1,1,48,67,67,116,48,1,1,172,298,1,7,48,1,67,1,67,116,
48,1,1,1,172,1,1,1,1,213,1,213,1,1,1,1,1,1,1,1,1,104,
1,1,248,248,349,248,349,362,248,349,362,427,70,31,70,80,80,
17,230,230,80,46,160,1,70,1,1,113,1,1,31,80,1,160,1,46,
1,70,1,1,1,113,1,1,52,1,101,1,81,1,1,1,1,1,1,1,81,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,364,364,452,364,452,145,364,452,145,
441,104,13,104,104,104,7,327,327,134,42,17,265,134,205,1,
205,1,1,13,134,1,17,1,42,265,134,1,205,1,205,1,1,309,1,
1,1,323,1,323,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1049,1,1,
1,1,1,1,1,76,1,1,1,1,1,1,1,1,1,1,1,1,1,149,1,1,76,1,
1,1,1,1,1,1,1,1,1,149,1,1,1,1,1,1,1,1,516,1,1,1,1,1,
1,39,39,31,81,81,31,20,57,57,108,11,108,108,108,13,1,1,
108,95,210,1,190,233,1,1,691,1,11,108,1,210,1,95,1,190,1,
233,1,1,1,1,1,1,453,1,1,1,924,1,1,1,1,1,453,39,39,39,
24,31,81,81,43,108,11,108,108,108,13,1,1,108,95,210,300,
190,302,1,302,691,1,11,108,1,210,1,95,300,190,1,302,1,302,
1,1,318,1,1,1,453,1,453,1,1,1,1,1,1,81,110,81,20,168,
144,168,210,31,210,210,210,40,1,1,210,137,355,463,267,320,
1,1,282,1,31,210,1,355,1,137,463,267,1,320,1,1,1,1,1,1,
1,1,1,1,868,1,1,1,1,1,1,39,81,39,39,24,43,108,11,108,
108,108,13,300,300,108,95,210,1,190,1,1,233,1,1,11,108,1,
210,1,95,1,190,1,1,1,233,1,1,1,1,453,1,924,1,1,1,1,1,
1,1,453,81,81,110,81,13,210,31,210,210,210,40,593,593,210,
137,355,593,267,1,1,320,656,1,31,210,1,355,1,137,593,267,
1,1,1,320,1,1,1,1,1,1,868,1,1,1,1,1,1,1,1,57,144,16,
57,221,13,221,221,221,8,238,238,221,90,62,343,128,146,1,
146,1,1,13,221,1,62,1,90,343,128,1,146,1,146,1,1,293,1,
1,1,889,1,889,1,1,1,1,1,1,39,81,57,108,11,108,108,108,
13,1,1,108,95,210,1,190,302,1,233,318,1,11,108,1,210,1,
95,1,190,1,302,1,233,1,1,691,1,924,1,924,1,453,1,1,1,1,
1,924,81,168,210,31,210,210,210,40,463,463,210,137,355,1,
267,1,1,1,1,1,31,210,1,355,1,137,1,267,1,1,1,1,1,1,656,
1,868,1,574,1,1,1,1,1,1,1,868,57,221,13,221,221,221,8,
343,343,221,90,62,238,128,203,1,203,555,1,13,221,1,62,1,
90,238,128,1,203,1,203,1,1,555,1,889,1,613,1,1,1,1,1,1,
1,889,335,22,335,335,335,17,1,1,335,87,182,1,219,1,1,280,
1,1,22,335,1,182,1,87,1,219,1,1,1,280,1,1,1,1,1,1,694,
1,1,1,1,1,1,1,1,5,5,10,10,10,1,1,9,14,14,29,14,16,1,
1,29,1,5,9,1,14,1,14,29,14,1,16,1,1,1,1,1,1,45,1,1,1,
45,1,1,1,1,1,1,5,5,5,4,5,5,5,7,7,5,5,9,1,9,11,1,2,
5,1,7,1,7,5,5,1,9,1,9,1,1,11,1,11,1,11,1,11,1,1,1,1,
1,11,10,10,10,1,1,9,14,14,29,14,16,1,1,29,1,5,9,1,14,
1,14,29,14,1,16,1,1,1,1,1,1,45,1,1,1,45,1,1,1,1,1,1,
5,10,1,1,14,14,14,29,9,1,1,16,1,1,5,14,1,14,1,14,29,9,
1,1,1,16,1,1,29,1,1,1,45,1,1,1,1,1,1,1,45,10,1,1,14,
14,14,29,9,1,1,16,1,1,5,14,1,14,1,14,29,9,1,1,1,16,1,
1,29,1,1,1,45,1,1,1,1,1,1,1,45,13,13,10,6,6,13,10,7,
1,7,1,1,4,10,1,6,1,6,13,10,1,7,1,7,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,5,29,14,14,14,29,1,1,1,1,1,5,29,1,14,1,
14,14,29,1,1,1,1,1,1,1,1,1,1,1,1,318,1,1,1,1,1,318,
29,14,14,14,29,1,1,1,1,1,5,29,1,14,1,14,14,29,1,1,1,1,
1,1,1,1,1,1,1,1,318,1,1,1,1,1,318,14,14,1,10,1,1,16,
1,1,5,5,1,14,1,14,1,10,1,1,1,16,1,1,29,1,1,1,45,1,1,
1,1,1,1,1,45,7,14,14,29,1,29,13,1,7,14,1,7,1,4,14,14,
1,29,1,29,1,1,13,1,19,1,17,1,19,1,1,1,1,1,17,14,14,10,
1,10,36,1,7,14,1,4,1,7,14,14,1,10,1,10,1,1,36,1,67,1,
52,1,67,1,1,1,1,1,52,1,1,1,1,1,1,5,1,1,14,1,14,5,1,
1,1,1,1,1,1,1,1,318,1,1,1,1,1,1,1,1,1,318,16,1,1,29,
1,5,10,1,14,1,14,1,5,1,16,1,1,1,1,1,1,48,1,1,1,48,1,
1,1,1,1,1,1,7,1,1,9,1,1,10,1,29,1,16,1,3,1,7,1,1,55,
1,1,1,102,1,1,1,1,1,1,1,102,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,55,1,9,16,1,10,
1,29,1,1,1,7,1,3,1,1,1,1,102,1,1,1,102,1,1,1,1,1,1,
1,11,1,1,36,1,13,1,29,1,1,1,55,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,5,1,7,1,7,5,5,1,9,1,9,1,1,11,1,11,1,
11,1,11,1,1,1,1,1,11,1,14,1,14,1,10,1,1,1,16,1,1,29,
1,1,1,45,1,1,1,1,1,1,1,45,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,7,14,14,1,10,1,10,1,1,36,
1,67,1,52,1,67,1,1,1,1,1,52,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,14,14,1,29,1,29,1,1,13,1,19,1,17,
1,19,1,1,1,1,1,17,1,1,1,1,1,1,1,1,1,318,1,1,1,1,1,1,
1,1,1,318,1,16,1,1,1,1,1,1,48,1,1,1,48,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,7,1,1,55,1,1,
1,102,1,1,1,1,1,1,1,102,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,102,1,1,1,102,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,81,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,81,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,115,
115,1,34,47,1,47,1,1,269,269,318,269,318,404,269,318,404,
544,48,48,31,17,99,70,1,1,48,99,17,209,99,411,1,1,1,1,
48,31,411,70,1,99,1,17,209,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,115,1,115,115,1,46,1,1,269,269,318,269,318,404,
269,318,404,544,48,48,31,46,104,160,1,1,48,104,17,1,104,1,
1,1,1,1,48,31,1,160,1,104,1,46,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,272,47,8,272,47,39,39,299,299,95,299,95,
336,299,95,336,153,36,36,6,70,10,70,1,39,30,19,13,1,19,
40,1,1,30,15,30,6,40,70,30,10,1,70,1,1,39,1,44,198,198,
48,138,172,172,150,138,48,138,138,150,172,172,1,39,39,1,1,
1,1,1,560,1,566,1,1,501,1,681,1,1,29,1,43,1,1,36,1,84,
127,1,84,1,1,1,1,1,1,29,1,1,1,43,1,1,1,1,36,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,115,1,47,1,1,269,269,318,269,
318,404,269,318,404,544,48,48,31,17,99,70,1,209,48,99,17,
1,99,1,411,411,1,1,48,31,1,70,1,99,1,17,1,1,209,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,39,47,272,272,299,299,95,299,
95,336,299,95,336,153,30,30,6,70,19,70,1,1,36,10,13,39,
10,1,40,40,198,44,36,6,1,70,198,19,1,70,39,1,1,1,15,30,
30,150,172,138,138,48,172,150,172,172,48,138,138,1,1,1,1,
1053,579,1,604,1,1,501,1,683,1,1,29,1,123,1,1,1,1,84,
127,1,84,1,1,1,1,1,1,29,1,1,1,123,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,405,405,311,405,311,82,405,
311,82,442,99,99,10,10,99,6,1,173,99,99,8,173,99,315,315,
315,1,109,99,10,315,6,1,99,1,10,173,1,173,1,109,1,1,1,1,
1,1,116,1,116,1,1,1,1,1,39,1,1,501,1,566,1,1,560,1,681,
1,1,29,1,84,1,1,1,1,43,127,36,43,1,1,1,1,1,1,29,1,1,
1,84,1,1,36,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,501,1053,604,1,1,579,1,683,1,1,29,1,84,1,1,1,1,123,
127,1,123,1,1,1,1,1,1,29,1,1,1,84,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,86,86,146,104,104,146,17,165,
165,154,154,31,137,298,355,1,1,154,298,17,359,298,512,1,1,
1,1,154,31,512,355,1,298,1,137,359,1,1,1,1,1,1,1,1064,1,
1,1,1,1,1,1065,1,1065,1064,86,86,86,37,146,104,104,123,
154,154,31,137,298,355,1,1,154,298,17,396,298,490,1,1,1,1,
154,31,490,355,1,298,1,137,396,1,1,1,1,1,1,1,1,1,1,1,
1064,1,1065,1,1,1,1,104,31,104,17,39,80,39,95,95,11,92,
114,231,1,1,95,114,34,302,114,300,1,1,680,550,95,11,300,
231,680,114,1,92,302,1,1,1,550,636,636,318,551,496,496,509,
580,318,508,556,258,556,551,86,104,86,86,37,123,154,154,31,
137,298,355,1,396,154,298,17,1,298,1,490,490,1,1,154,31,1,
355,1,298,1,137,1,1,396,1,1,1,1,1,1,1064,1065,1,1,1,1,
1,1,1,1,104,104,31,104,20,95,95,11,92,114,231,1,233,95,
114,34,233,114,1,1,1,668,261,95,11,1,231,668,114,1,92,233,
1,233,1,261,668,668,509,496,551,556,318,551,318,556,496,509,
496,496,165,80,79,165,285,285,34,72,339,64,1,235,285,339,
10,235,339,372,368,368,1,1,285,34,372,64,1,339,1,72,235,1,
235,1,1,1,1,974,1,1,1,974,1,1,1,1,619,1,1,86,104,165,
154,154,31,137,298,355,1,359,154,298,17,1,298,1,512,512,1,
1,154,31,1,355,1,298,1,137,1,1,359,1,1,1,1,1,1065,1,1,
1,1,1,1,1064,1,1064,1065,104,39,95,95,11,92,114,231,1,302,
95,114,34,1,114,1,300,300,636,550,95,11,1,231,636,114,1,
92,1,1,302,1,550,680,680,258,556,580,508,318,496,509,496,
551,318,551,556,165,285,285,34,72,339,64,1,235,285,339,10,
235,339,368,372,372,1,1,285,34,368,64,1,339,1,72,235,1,
235,1,1,1,1,619,1,1,1,1,1,974,1,1,974,1,1,301,301,20,
179,191,418,1,1,301,191,17,1,191,471,471,471,800,240,301,
20,471,418,800,191,1,179,1,1,1,1,240,800,800,431,650,829,
829,605,829,605,829,650,431,650,650,5,5,14,14,14,1,1,9,10,
10,16,10,29,1,1,80,1,9,5,29,14,80,14,1,14,16,1,1,1,17,
1,1,1,86,1,1,31,86,1,86,86,31,1,1,5,14,14,14,1,1,9,10,
10,16,10,29,1,1,80,1,9,5,29,14,80,14,1,14,16,1,1,1,17,
1,1,1,86,1,1,31,86,1,86,86,31,1,1,7,5,7,1,9,5,5,4,9,
5,5,5,5,10,6,5,2,5,7,10,5,1,7,9,1,9,1,6,10,10,7,16,
16,16,7,16,7,16,16,7,16,16,14,7,1,29,14,14,6,29,14,14,
14,14,1,36,14,7,14,7,1,14,1,4,29,1,29,1,36,1,1,67,1,1,
1,67,1,67,1,1,67,1,1,14,1,1,10,9,10,16,9,1,29,29,22,
22,10,5,1,14,22,5,1,14,16,1,1,1,16,35,35,43,43,130,130,
52,43,43,43,43,52,130,130,1,10,14,14,6,10,14,14,14,14,1,
36,14,7,14,4,1,14,1,7,10,1,10,1,36,1,1,67,1,1,1,67,1,
67,1,1,67,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,16,16,7,7,
16,1,1,1,179,1,16,9,1,10,179,1,1,29,7,1,3,1,31,1,1,1,
113,1,1,34,113,1,113,113,73,331,331,14,10,1,14,1,29,29,1,
17,5,5,1,14,1,10,1,14,1,1,16,1,1,80,80,31,1,86,86,1,1,
31,1,1,1,86,86,10,1,5,29,1,1,35,16,14,5,29,14,35,9,1,
14,1,1,16,1,22,22,22,52,130,43,43,43,130,52,130,130,43,
43,43,7,10,13,13,13,20,1,10,4,13,6,20,10,1,6,7,1,7,1,
1,20,20,1,17,17,17,1,17,1,17,17,1,17,17,1,1,1,1,1,31,
1,9,1,10,1,16,1,29,3,1,7,1,1,179,179,73,331,113,113,1,
1,34,1,331,1,113,113,29,1,1,35,16,14,5,29,14,35,9,1,14,
1,1,16,1,22,22,22,52,130,43,43,43,130,52,130,130,43,43,
43,14,14,1,60,1,5,5,14,1,1,1,14,1,1,1,1,1,159,159,52,
1,201,201,1,1,52,1,1,1,201,201,5,159,1,29,5,14,14,159,
29,1,14,1,1,1,1,60,1,1,1,201,1,1,52,201,1,201,201,52,1,
1,159,1,29,5,14,14,159,29,1,14,1,1,1,1,60,1,1,1,201,1,
1,52,201,1,201,201,52,1,1,22,1,10,1,1,10,22,1,1,1,1,
179,1,1,1,1,134,1,1,1,1,1,134,1,1,1,1,1,17,6,60,36,22,
22,1,36,31,1,1,1,1,1,1,1,81,1,1,1,81,1,81,81,1,1,1,5,
1,14,1,10,1,14,1,1,16,1,1,80,80,31,1,86,86,1,1,31,1,1,
1,86,86,5,7,10,5,1,7,9,1,9,1,6,10,10,7,16,16,16,7,16,
7,16,16,7,16,16,14,1,1,1,14,1,1,1,1,1,159,159,52,1,201,
201,1,1,52,1,1,1,201,201,1,14,1,7,10,1,10,1,36,1,1,67,
1,1,1,67,1,67,1,1,67,1,1,22,1,1,1,1,179,1,1,1,1,134,
1,1,1,1,1,134,1,1,1,1,1,1,14,16,1,1,1,16,35,35,43,43,
130,130,52,43,43,43,43,52,130,130,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,29,1,29,1,36,1,1,67,1,1,1,67,1,
67,1,1,67,1,1,1,7,1,1,179,179,73,331,113,113,1,1,34,1,
331,1,113,113,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,31,
1,1,1,113,1,1,34,113,1,113,113,73,331,331,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,22,22,1,1,81,81,1,1,1,1,1,1,81,81,
10,1,1,1,1,134,1,1,1,1,134,1,1,1,1,1,1,134,1,1,1,1,
134,1,1,43,1,1,1,36,48,36,43,1,1,1,1,1,1,138,36,109,16,
1,1,1,16,43,1,1,1,1,36,138,109,43,1,1,1,1,36,109,138,1,
1,1,1,48,36,36,43,16,109,1,1,1,43,36,1,1,1,138,1,1,1,
1,1,1,43,43,16,3,1,7,7,14,7,1,1,38,38,70,38,70,218,38,
70,218,54,16,16,48,16,16,70,1,1,16,48,70,1,27,1,1,1,1,
1,16,16,176,70,1,10,1,33,1,176,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,38,38,38,1,7,7,14,7,1,1,38,38,70,38,70,218,38,70,
218,54,16,16,48,16,16,70,1,1,16,48,70,1,27,1,1,1,1,1,
16,16,176,70,1,10,1,33,1,176,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,38,38,38,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,7,1,7,1,1,13,13,
13,13,13,22,13,13,22,11,4,13,13,4,13,13,1,1,13,13,8,22,
8,22,22,1,1,1,4,13,1,13,1,8,22,8,1,1,22,22,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,3,14,1,113,113,75,113,75,135,113,
75,135,35,16,70,16,16,48,16,1,1,70,16,33,134,10,1,134,1,
1,1,16,48,1,16,1,27,1,70,189,1,1,134,1,1,1,1,1,1,1,1,
38,38,38,1,1,1,1,1,1,1,1,403,1,419,1,1,1,546,1,329,59,
1,36,59,1,1,1,1,184,36,122,314,17,273,1,1,1,1,1,379,184,
198,1,168,184,138,1,476,474,198,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,14,1,113,113,75,113,75,135,113,75,135,35,16,70,
16,16,48,16,1,1,70,16,33,134,10,1,134,1,1,1,16,48,1,16,
1,27,1,70,189,1,1,134,1,1,1,1,1,1,1,1,38,38,38,1,1,1,
1,1,403,1,1,298,546,531,1,435,355,372,59,1,1,59,36,1,1,
1,198,379,138,1,168,227,235,1,1,1,1,36,1,184,1,17,342,
122,184,325,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,26,26,31,81,81,31,20,123,123,20,62,156,20,156,117,1,
1,62,156,151,678,369,675,679,1,838,1,20,156,1,117,1,369,1,
176,841,841,644,1,1,739,1,1,1,1,1,1,640,407,662,1,640,
662,397,26,26,26,17,31,81,81,93,20,62,156,20,156,117,1,1,
62,156,151,679,369,644,1,1,1,1,20,156,841,117,1,369,675,
176,1,1,1,1,1,1,1,1,1,1,1,1,407,1,640,1,662,397,1,81,
31,81,20,138,45,138,20,113,233,20,233,161,1,1,113,233,153,
766,330,828,1,1,1,1,20,233,1,161,1,330,1,111,1,949,1,1,
1,1,1,1,1,1,1,1,792,1,323,1,323,556,649,26,81,26,26,17,
93,20,62,156,20,156,117,1,1,62,156,151,1,369,1,1,1,1,1,
20,156,1,117,1,369,644,176,806,1,638,592,1,1,1,1,1,1,1,
1,1,397,407,1,397,1,407,81,81,31,81,40,20,113,233,20,233,
161,1,1,113,233,153,1,330,1,1,1,1,1,20,233,949,161,1,330,
828,111,994,943,863,898,1,1,1,1,1,1,1,1,1,649,792,1,556,
649,1,123,45,146,123,54,236,444,54,444,148,1,1,236,444,205,
930,462,1,1,1,1,1,54,444,988,148,1,462,887,222,934,1,879,
853,1,985,1,1,1,1,1,1,724,1,557,1,580,745,1,26,81,123,
20,62,156,20,156,117,1,1,62,156,151,1,369,638,592,1,739,1,
20,156,1,117,1,369,1,176,1,806,1,678,1,838,1,1,1,1,1,1,
397,662,1,1,1,407,640,81,138,20,113,233,20,233,161,1,1,
113,233,153,1,330,863,898,1,1,1,20,233,943,161,1,330,1,
111,1,1,842,919,1,1,1,1,1,1,1,1,649,556,1,1,649,1,792,
123,54,236,444,54,444,148,1,1,236,444,205,1,462,879,853,1,
985,1,54,444,1,148,1,462,1,222,983,1,894,905,1,1,1,1,1,
1,1,1,1,745,724,1,745,1,724,113,286,554,113,554,228,1,1,
286,554,139,1,188,1,1,1,767,1,113,554,1,228,1,188,1,133,
1,1,1,1011,1,767,1,1,1,1,1,1,521,510,416,1,486,510,521,
10,10,4,10,10,1,1,7,7,10,45,10,23,23,1,59,1,4,7,79,7,
1,10,45,10,12,12,26,26,1,59,1,1,1,1,1,1,31,1,31,1,31,
31,1,10,10,10,10,1,1,31,43,43,70,36,151,1,1,198,1,7,31,
128,43,1,43,70,36,128,151,1,1,1,1,1,1,1,1,1,1,126,1,89,
1,89,1,126,10,10,10,1,1,31,43,36,99,43,52,1,1,1,1,7,31,
70,43,1,36,99,43,128,151,1,1,1,1,1,1,1,1,1,1,1,1,70,1,
11,26,26,10,10,1,1,10,10,6,23,6,26,26,1,1,1,4,10,12,10,
1,6,23,6,79,1,45,45,1,1,1,1,1,1,1,1,1,31,31,1,31,1,
31,10,1,1,43,31,43,89,36,1,151,1,1,1,7,43,128,31,1,43,
89,36,70,226,226,45,1,1,1,1,1,1,1,1,26,26,11,1,70,1,1,
1,1,43,31,36,116,43,1,52,1,1,1,7,43,70,31,1,36,116,43,
70,226,45,226,1,198,1,1,1,1,1,1,1,126,89,1,89,126,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,10,
43,1,43,1,1,1,1,1,10,10,151,10,1,36,151,36,1,1,70,70,1,
198,1,1,1,1,1,1,1,89,126,1,1,126,89,43,1,43,1,1,1,1,1,
10,10,151,10,1,36,52,36,1,181,99,99,1,1,1,1,1,1,1,1,1,
70,1,1,26,26,11,1,10,119,119,1,122,1,10,36,1,36,1,10,1,
6,204,84,204,115,1,122,1,1,1,1,1,1,38,1,128,1,1,38,128,
1,1,1,1,1,1,26,151,139,52,1,1,26,1,209,422,195,1,1,196,
1,1,1,1,1,1,1,287,1,1,1,102,242,104,104,1,37,1,10,36,1,
36,1,6,1,10,204,84,115,204,1,17,1,1,1,1,1,1,43,144,144,
1,29,10,29,26,1,1,1,45,226,226,45,1,100,308,93,1,172,308,
195,1,620,1,1,1,1,1,1,1,186,205,1,414,449,1,1,1,1,45,
45,226,226,1,100,195,93,1,139,1,1,1,1,1,1,1,1,1,1,1,1,
205,1,242,1,102,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,59,1,222,198,1,17,440,122,1,1,
361,608,1,1,1,1,1,1,1,1,1,149,149,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,10,1,
10,1,10,26,10,1,79,23,23,1,59,1,1,1,1,1,1,31,31,1,1,1,
31,31,226,10,1,43,1,43,181,1,89,89,1,1,1,1,1,1,1,1,26,
11,26,1,1,1,70,226,1,1,172,1,1,503,1,422,1,514,1,1,1,1,
1,1,59,295,1,1,1,278,1,1,43,1,43,1,1,116,116,1,1,1,1,
1,1,1,1,126,89,1,1,126,1,89,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,10,194,130,1,194,1,37,1,1,1,1,
1,1,10,29,29,1,144,43,144,1,215,1,308,1,1,1,1,1,1,1,1,
1,186,205,1,1,449,1,345,194,130,194,1,1,122,1,1,1,1,1,1,
38,128,1,1,128,38,1,1,204,204,1,1,1,1,1,1,1,1,527,323,
1,1,1,295,59,226,226,1,1,1,1,1,1,1,1,1,59,295,1,527,1,
278,26,1,1,1,1,1,1,1,1,205,1,186,1,219,414,449,1,1,1,1,
1,1,1,1,205,1,1,1,102,242,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,149,1,149,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,26,
26,1,1,1,1,29,1,1,1,1,1,1,1,1,1,1,1,26,29,26,1,7,7,
14,7,1,1,38,38,70,38,70,218,38,70,218,54,16,16,48,16,16,
70,1,1,16,48,70,1,27,1,1,1,1,1,16,16,176,70,1,10,1,33,
1,176,1,1,1,1,1,1,1,1,1,1,1,1,1,1,38,38,38,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,3,1,7,1,14,38,38,70,38,70,218,38,70,218,
54,16,16,16,16,48,70,176,1,16,16,70,1,10,1,1,176,1,1,16,
48,1,70,1,27,1,33,1,1,1,1,1,1,1,38,38,1,1,1,1,1,1,38,
1,1,1,1,7,1,14,38,38,70,38,70,218,38,70,218,54,16,16,16,
16,48,70,176,1,16,16,70,1,10,1,1,176,1,1,16,48,1,70,1,
27,1,33,1,1,1,1,1,1,1,38,38,1,1,1,1,1,1,38,1,1,1,1,
1,1,1,419,546,403,1,1,1,1,1,329,198,1,36,184,379,1,314,
184,59,36,198,1,17,1,1,198,1,1,1,1,235,122,1,168,1,249,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,17,17,34,
17,34,17,17,34,17,10,13,6,13,13,13,6,95,95,6,13,13,1,8,
1,1,95,1,1,13,13,95,6,1,8,1,13,95,95,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,403,1,419,1,1,1,546,
1,329,1,59,1,184,36,122,1,1,1,379,198,1,168,1,1,235,1,1,
198,36,198,1,1,17,1,249,184,314,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,26,26,31,81,81,31,20,123,123,62,20,156,62,
156,151,1,1,20,156,117,1,369,1,1,1,1,1,62,156,592,151,
838,369,1,166,1,678,1,1,1,1,1,1,397,1,1,1,1,1,1,662,
662,640,407,26,26,26,17,31,81,81,93,62,20,156,62,156,151,
1,644,20,156,117,1,369,1,1,679,1,1,62,156,678,151,1,369,
1,166,675,679,1,1,838,1,739,407,1,1,1,1,1,1,1,397,640,
407,1,81,31,81,20,138,45,138,113,20,233,113,233,153,1,1,
20,233,161,1,330,1,1,1,1,1,113,233,919,153,873,330,1,57,
1,766,1,1,873,1,1,1,649,1,1,1,1,1,1,556,323,792,1,26,
81,26,26,17,93,62,20,156,62,156,151,679,675,20,156,117,1,
369,1,1,678,1,838,62,156,679,151,739,369,1,166,644,1,1,1,
1,1,1,640,407,1,1,1,1,1,1,1,407,1,397,81,81,31,81,40,
113,20,233,113,233,153,1,828,20,233,161,1,330,1,1,766,1,1,
113,233,766,153,884,330,1,57,828,1,1,1,1,1,884,792,1,1,1,
1,1,1,1,649,792,1,649,123,45,146,123,236,54,444,236,444,
205,1,1,54,444,148,1,462,1,1,930,1,1,236,444,875,205,1,
462,1,251,887,930,1,1,1,1,907,724,1,1,1,1,1,1,1,745,557,
724,1,26,81,123,62,20,156,62,156,151,678,1,20,156,117,1,
369,1,1,592,1,1,62,156,1,151,1,369,1,166,1,1,1,1,1,1,
838,662,640,1,1,1,1,1,1,407,1,397,662,81,138,113,20,233,
113,233,153,766,1,20,233,161,1,330,1,1,919,1,873,113,233,
1,153,1,330,1,57,1,1,1,1,1,1,873,323,792,1,1,1,1,1,1,
1,1,649,556,123,236,54,444,236,444,205,930,887,54,444,148,
1,462,1,1,875,1,1,236,444,930,205,907,462,1,251,1,1,1,1,
1,1,1,557,724,1,1,1,1,1,1,1,724,1,745,286,113,554,286,
554,139,1,1,113,554,228,1,188,1,1,1038,1,771,286,554,1038,
139,767,188,1,275,1,1,1,1,771,1,767,416,521,1,1,1,1,1,1,
510,416,521,510,10,10,31,43,43,1,1,7,31,43,1,43,1,1,1,1,
1,31,31,1,13,198,21,1,21,70,70,1,1,127,1,1,1,89,1,1,1,
1,1,1,126,89,126,1,10,10,10,6,26,26,4,10,10,1,6,1,1,23,
1,1,7,7,45,10,59,10,1,6,23,23,1,1,59,1,59,1,31,1,1,1,
1,1,1,31,31,1,31,43,31,43,1,1,7,43,31,1,43,1,1,1,1,1,
31,31,45,21,1,13,1,21,89,89,1,1,17,1,1,1,70,1,1,1,1,1,
1,1,11,26,26,10,43,1,151,10,10,10,1,36,1,1,70,1,198,31,
43,70,43,127,36,1,10,151,1,1,1,198,1,127,126,1,1,1,1,1,
1,1,89,126,1,89,43,151,1,10,10,10,1,36,1,1,89,1,1,31,
43,99,36,17,43,1,10,52,1,1,1,1,1,84,26,26,1,1,1,1,1,1,
11,1,1,70,119,119,10,36,36,1,10,1,1,1,1,122,13,21,115,
16,257,16,1,21,1,1,1,1,257,1,1,38,1,1,1,1,1,1,1,128,
128,38,1,26,23,1,52,1,104,1,1,1,1,1,70,89,1,1,608,1,1,
115,278,1,1,1,196,1,1,1,1,1,1,1,1,1,1,287,102,1,242,23,
52,1,1,104,1,1,1,1,1,70,89,1,1,361,1,1,115,150,278,1,1,
1,1,1,1,186,1,1,1,1,1,1,205,219,495,345,10,10,1,10,1,1,
45,1,59,10,10,23,6,59,6,1,6,26,26,1,1,1,1,59,31,1,1,1,
1,1,1,1,31,1,31,31,10,1,43,1,1,99,1,1,43,31,89,43,84,
36,1,10,1,151,1,1,1,1,17,1,1,1,1,1,1,1,1,70,26,26,11,
1,43,1,1,116,1,1,43,31,116,36,127,43,1,10,1,52,1,1,1,1,
127,1,126,1,1,1,1,1,1,89,1,126,89,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,37,21,13,194,16,162,16,1,21,1,1,1,1,179,1,179,43,
144,1,1,1,1,1,1,144,29,10,29,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,45,78,115,1,194,1,78,1,1,1,1,1,1,1,1,287,1,1,1,1,
1,1,1,242,102,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,127,17,1,257,179,179,1,127,1,196,1,
1,1,1,1,1,149,1,1,1,1,1,1,149,1,1,1,10,1,43,1,43,1,
21,1,1,1,1,1,1,198,89,126,1,1,1,1,1,1,1,1,89,126,1,43,
1,43,1,21,1,1,1,1,1,1,1,11,26,1,1,1,1,1,1,26,1,70,1,
1,1,1,1,78,1,1,1,1,1,1,1,242,102,1,1,1,1,1,1,1,1,287,
1,1,10,1,21,119,119,1,1,122,1,257,128,38,1,1,1,1,1,1,1,
38,1,128,179,1,1,1,1,1,1,1,1,1,149,149,1,1,1,1,1,1,1,
1,1,1,1,21,104,104,1,1,37,1,162,29,10,1,1,1,1,1,1,29,
43,144,144,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
115,115,1,1,127,1,1,116,116,1,1,1,1,1,1,1,116,116,1,26,
1,1,1,1,361,219,495,1,1,1,1,1,1,345,1,186,205,1,1,1,1,
608,102,1,1,1,1,1,1,1,242,1,1,287,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,179,
1,1,1,1,1,1,1,1,1,1,149,149,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,149,149,1,26,1,1,1,1,1,1,29,1,1,
1,1,1,1,1,1,1,26,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,26,29,26,14,10,10,14,1,1,1,1,337,1,337,290,658,
274,1,64,1,1,15,1,52,1,1,110,1,15,1,1,20,110,1,1,1,1,
232,52,1,1,1,15,215,1,1,367,205,1,1,1,1,1,1,1,1,1,1,1,
1,1,32,32,32,7,1,3,1,1,113,113,75,113,75,135,113,75,135,
35,16,70,48,16,16,16,1,189,70,48,33,1,27,134,1,1,1,1,16,
16,1,16,1,10,134,70,1,1,134,1,1,1,1,1,1,38,38,38,1,1,
1,1,1,1,1,10,7,10,10,13,13,8,13,8,150,13,8,150,8,13,13,
6,13,6,13,1,52,13,6,13,1,7,1,1,1,13,13,13,6,1,13,13,7,
1,13,52,1,1,1,13,13,13,10,10,10,10,10,10,10,10,10,10,10,
10,1,1,1,1,1,274,1,68,1,1,274,1,58,232,1,15,1,52,1,1,
1,1,15,1,1,20,293,1,1,1,1,1,52,110,1,1,15,1,1,1,215,1,
1,1,1,1,1,1,32,32,32,1,1,1,1,1,1,1,1,1,113,113,75,113,
75,135,113,75,135,35,16,70,48,16,16,16,1,189,70,48,33,1,
27,134,1,1,1,1,16,16,1,16,1,10,134,70,1,1,134,1,1,1,1,
1,1,38,38,38,1,1,1,1,1,1,1,3,1,1,65,426,174,1,1,116,1,
35,1,1,48,116,10,1,1,1,1,48,116,1,27,1,1,1,1,1,1,10,1,
1,1,10,235,116,86,235,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,65,426,174,1,1,116,1,35,1,1,48,116,10,1,1,1,1,
48,116,1,27,1,1,1,1,1,1,10,1,1,1,10,235,116,86,235,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,43,43,31,57,57,31,13,
127,127,131,131,172,131,20,333,1,1,131,172,333,1,388,601,1,
1,825,1,131,20,686,333,825,34,627,455,1,625,1,1,1,1,1,1,
614,1,1,1,614,1,1,1,975,975,1,43,43,43,26,31,57,57,52,
131,131,172,131,20,333,1,1,131,172,333,1,388,1,1,1,1,1,
131,20,625,333,1,34,601,455,1,704,1,1,1,1,1,1,1,1,1,1,
1,1,614,614,975,1,1,57,16,57,13,17,43,17,205,205,95,205,
10,330,1,1,205,95,330,1,243,409,1,1,68,337,205,10,340,330,
337,13,340,107,804,371,1,1,312,410,410,70,75,205,205,330,
75,70,57,57,107,330,205,43,57,43,43,26,52,131,131,172,131,
20,333,1,601,131,172,333,1,388,1,1,1,1,825,131,20,704,333,
764,34,1,455,957,1,688,1,1,1,1,614,1,1,1,1,1,614,1,1,1,
1,1,57,57,16,57,15,205,205,95,205,10,330,1,409,205,95,330,
1,243,1,1,1,337,68,205,10,371,330,274,13,409,107,740,343,
343,1,95,312,410,75,70,205,330,205,70,75,75,75,330,205,205,
127,43,45,127,383,383,186,383,179,326,1,640,383,186,326,1,
388,640,1,1,1,1,383,179,689,326,1,113,665,432,1,1,1,1,1,
977,952,1,1,1,1,1,1,1,647,647,664,1,1,43,57,127,131,131,
172,131,20,333,1,627,131,172,333,1,388,688,1,1,764,1,131,
20,1,333,1,34,1,455,1,528,627,1,1,1,1,1,614,1,1,1,614,
1,1,1,1,1,975,57,17,205,205,95,205,10,330,1,340,205,95,
330,1,243,343,1,1,274,337,205,10,343,330,274,13,1,107,1,1,
371,1,312,95,312,57,75,330,107,205,75,57,70,70,205,205,330,
127,383,383,186,383,179,326,1,665,383,186,326,1,388,1,1,1,
1,1,383,179,1,326,1,113,640,432,1,730,774,1,1,1,1,647,1,
1,731,1,1,647,1,1,1,1,1,480,480,141,480,13,358,1,529,480,
141,358,1,197,495,1,1,428,190,480,13,461,358,436,10,529,
215,1,1,1,1,287,540,575,146,214,448,536,448,214,146,146,
146,536,448,448,29,29,31,10,10,1,1,31,13,84,1,84,70,1,1,
32,1,31,7,70,31,32,10,13,10,81,31,1,1,227,1,1,1,38,1,1,
172,38,1,38,38,1,172,1,29,10,10,31,1,1,31,29,29,1,22,70,
1,1,32,1,31,7,70,10,32,10,31,31,99,13,1,1,1,1,1,1,38,
1,1,172,38,1,38,38,1,1,172,29,6,29,1,36,13,14,13,1,14,
13,1,1,15,15,13,6,13,29,15,6,36,29,1,36,36,1,13,29,29,
48,48,29,29,13,48,48,48,48,13,29,29,10,29,1,70,29,29,31,
1,22,1,1,1,1,32,31,10,31,10,32,7,70,31,99,1,13,1,227,1,
227,38,1,1,172,1,1,38,38,38,172,1,1,10,1,1,10,6,10,1,7,
1,1,1,10,10,7,5,11,7,6,5,11,7,12,16,16,1,13,13,13,7,7,
20,20,20,7,7,5,5,20,20,20,1,19,84,13,31,1,84,1,1,1,1,
32,31,10,31,31,32,7,19,10,81,1,31,1,1,227,1,38,1,172,1,
1,1,38,38,38,172,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,70,
13,1,1,98,1,1,1,115,1,31,11,89,31,32,16,16,13,81,89,39,
1,1,1,1,1,110,1,1,394,110,1,38,38,246,246,87,29,10,1,84,
1,1,1,1,32,10,10,13,31,32,7,70,31,119,119,31,1,1,227,1,
38,1,1,172,1,1,38,38,38,1,172,1,29,1,14,36,1,1,15,15,
29,6,36,29,15,6,13,13,1,36,36,1,29,29,13,48,48,29,13,29,
48,48,48,48,29,29,13,1,84,19,1,1,32,1,10,7,19,31,32,10,
31,31,119,31,119,1,1,1,227,1,38,172,1,1,38,1,38,38,1,1,
172,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,98,1,1,20,20,84,7,98,22,20,7,98,
84,1,30,30,1,84,22,84,27,27,22,84,84,27,27,27,27,84,22,
84,1,1,1,115,13,16,16,31,32,11,89,31,130,113,89,1,1,389,
389,110,1,1,394,1,1,110,38,38,87,232,232,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,10,32,10,32,32,10,6,115,32,195,1,32,1,1,1,1,14,1,1,
1,1,1,14,14,14,1,1,1,32,6,115,32,10,10,32,32,195,32,1,
1,1,1,1,1,14,1,1,1,14,1,14,14,1,1,1,10,1,29,1,10,1,
84,1,70,70,1,1,1,227,38,38,172,1,1,38,38,1,1,1,1,172,
16,10,10,5,1,10,52,1,11,1,13,13,13,5,7,20,20,20,7,5,7,
7,20,20,20,1,1,1,113,1,1,89,1,1,1,1,1,110,38,232,232,
87,38,110,1,1,1,1,394,1,10,1,29,1,19,19,1,1,1,1,38,38,
1,1,172,38,38,1,1,1,1,172,10,1,1,1,115,115,1,1,1,1,14,
14,1,1,1,14,14,1,1,1,1,1,16,10,52,11,1,1,13,13,13,7,5,
13,13,13,5,7,7,7,13,13,13,1,1,1,89,1,1,1,1,38,110,394,
1,1,110,38,1,1,232,232,87,1,70,70,1,227,1,1,38,38,1,1,
172,38,38,1,1,1,172,1,119,119,1,1,1,1,149,149,1,1,1,149,
149,1,1,1,1,1,16,1,1,1,389,38,1,87,232,246,1,38,110,110,
1,1,1,1,389,1,1,1,38,1,1,1,38,1,110,110,246,87,232,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,29,84,1,1,99,1,1,1,1,1,1,
1,1,99,29,1,1,1,1,99,1,1,1,1,1,1,99,1,1,1,1,99,1,1,
1,1,1,99,1,7,1,1,1,7,3,7,7,1,1,1,1,1,1,3,7,7,7,1,1,
1,29,29,1,1,1,1,31,10,31,84,1,1,1,1,31,31,10,1,1,1,1,
10,31,31,7,7,7,1,1,1,7,7,1,1,1,3,1,1,1,1,1,1,29,84,
29,1,1,14,1,1,1,298,435,1,546,355,403,1,531,372,1,198,36,
59,379,184,325,184,1,36,138,1,17,235,227,1,1,1,59,1,1,1,
1,168,1,122,1,1,1,342,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
3,1,1,1,1,426,116,1,174,1,1,65,1,35,1,1,10,116,48,1,
235,86,1,10,116,1,10,1,1,1,1,1,1,48,1,1,1,27,1,116,1,
1,1,235,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,426,
116,1,174,1,1,65,1,35,1,1,10,116,48,1,235,86,1,10,116,1,
10,1,1,1,1,1,1,48,1,1,1,27,1,116,1,1,1,235,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,366,573,1,1,298,506,1,403,
368,1,122,36,184,1,59,293,1,1,36,249,1,17,1,256,1,1,1,
198,379,1,1,1,168,466,198,338,378,378,338,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,368,368,1,1,676,1,676,429,777,1,600,1,1,777,1,1,
600,1,1,1,1,712,801,882,1,1,1,1,1,958,848,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,775,522,1,1,139,1,244,104,199,104,1,1,
402,758,415,788,1,1,1,402,1,1,499,585,1,1,1,1,808,415,1,
1,1,505,1,1,1,967,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,86,1,88,1,758,402,1,415,1,1,585,1,402,788,1,499,1,
1,1,1,1,768,415,859,1,1,505,702,1,947,840,816,1008,1,1,1,
1,1,1,1,1,1,1,1,1,1,533,1,246,185,1,246,1,791,633,791,
1,904,1,1,1,633,904,1,1,1,1,1,1,1,750,737,992,1,1,706,
1009,719,978,933,951,917,1,1,1,1,1,1,1,1,1,1,1,1,522,
778,1,1,1,246,1,877,1,807,832,1022,1055,760,1,945,892,1,
857,753,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,787,861,368,104,1,822,365,763,363,1,912,
590,1,365,1,1,489,589,1,1,1,1,1,363,847,1,1,519,1,1,1,
1,1,1034,1,1,1,1,1,1,1,1,1,1,1,1,1,643,632,1,1,1002,
803,909,1,854,1,811,1,856,871,1,1,811,1023,1,1,1,903,984,
1,1,1,844,1,1025,1026,1019,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,835,1,1,167,1,554,867,1,486,1,167,1,1,268,502,1,1,
1,1,1,554,1,1,1,188,596,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,454,454,454,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,55,55,76,81,81,1,48,48,1,23,52,1,1,1,1,76,70,31,
1,1,1,1,1,190,194,1,1,1,1,1,1,1,1,1,1,1,1,1,1,43,1,
144,48,29,48,1,20,1,11,23,1,11,24,1,1,1,1,23,29,1,1,1,
6,20,1,54,80,24,1,1,1,1,1,1,1,1,1,1,1,1,1,10,19,19,
55,48,1,52,1,1,76,1,23,81,81,1,1,1,1,1,52,1,1,59,160,
76,1,1,176,190,1,1,1,1,1,1,1,1,1,1,1,1,144,1,43,1,130,
1,1,29,1,1,13,1,130,1,1,1,70,43,99,1,1,43,70,70,40,138,
138,40,1,1,1,1,1,1,1,1,1,1,1,1,1,29,1,121,43,1,23,1,
1,1,1,74,1,1,1,76,55,149,1,1,59,160,55,36,194,176,194,1,
1,1,1,1,1,1,1,1,1,1,1,144,43,1,81,1,1,74,1,54,157,1,
1,1,1,1,1,40,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,155,1,155,1,24,1,1,24,1,157,1,1,1,52,26,126,1,1,26,
26,31,30,104,36,20,1,1,1,1,1,1,1,1,1,1,1,1,1,52,52,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,48,1,11,20,1,1,1,1,1,13,160,1,1,
16,61,23,1,1,61,54,1,1,1,1,1,1,1,1,1,1,1,1,19,19,10,
1,1,43,121,1,1,1,31,70,160,1,1,31,104,76,165,104,165,36,
1,1,1,1,1,1,1,1,1,1,1,1,1,43,144,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,24,
54,1,1,1,48,29,80,1,1,16,61,48,19,130,61,19,1,1,1,1,1,
1,1,1,1,1,1,1,19,10,19,81,1,1,1,31,43,43,1,1,29,76,52,
20,149,80,30,1,1,1,1,1,1,1,1,1,1,1,1,52,52,1,1,1,1,1,
95,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,155,
1,155,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,31,1,48,1,36,104,107,
1,1,1,1,1,1,1,1,1,1,1,1,1,144,43,43,1,1,43,1,55,1,1,
70,130,1,1,1,1,1,1,1,1,1,1,1,1,1,1,29,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,130,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,26,1,77,104,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,17,56,56,1,1,1,70,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,192,192,107,130,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
43,144,1,1,165,19,1,1,1,1,1,1,1,1,1,1,1,1,1,174,48,
138,194,1,1,1,1,1,1,1,1,1,1,1,1,1,1,149,1,1,1,1,1,1,
1,1,1,1,1,1,1,104,1,1,1,1,1,1,1,1,1,1,1,1,1,1,48,
174,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,19,19,19,1,7,1,14,38,38,70,38,70,218,38,70,
218,54,16,16,16,16,48,70,176,1,16,16,70,1,10,1,1,176,1,
1,16,48,1,70,1,27,1,33,1,1,1,1,1,1,1,38,38,1,1,1,1,1,
1,38,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,113,113,75,113,75,135,
113,75,135,35,16,70,48,16,16,16,1,189,70,48,33,1,27,134,
1,1,1,1,16,16,1,16,1,10,134,70,1,1,134,1,1,1,1,1,1,38,
38,38,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,419,546,403,1,1,1,
1,1,329,1,184,379,59,36,198,476,1,1,1,122,474,168,1,273,
184,1,1,59,36,1,1,1,17,198,138,1,1,314,184,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,26,26,31,81,81,31,20,123,123,20,62,
156,20,156,117,806,1,62,156,151,1,369,592,638,1,838,1,20,
156,1,117,1,369,678,176,1,1,1,1,1,739,1,1,407,397,1,662,
1,1,1,640,1,1,1,26,26,26,17,31,81,81,93,20,62,156,20,
156,117,1,806,62,156,151,638,369,1,1,1,1,1,20,156,1,117,
1,369,592,176,1,1,1,644,1,1,1,397,1,1,407,397,1,1,1,407,
1,1,1,81,31,81,20,138,45,138,20,113,233,20,233,161,1,1,
113,233,153,842,330,898,863,943,1,1,20,233,1,161,1,330,919,
111,1,1,1,1,1,1,1,649,1,649,1,556,1,1,1,792,1,1,1,26,
81,26,26,17,93,20,62,156,20,156,117,1,1,62,156,151,1,369,
1,644,841,1,1,20,156,1,117,1,369,1,176,1,1,679,675,1,1,
1,662,397,407,640,1,1,1,1,1,1,1,1,81,81,31,81,40,20,113,
233,20,233,161,943,994,113,233,153,863,330,1,1,949,1,1,20,
233,1,161,1,330,898,111,1,1,1,828,1,1,1,556,649,1,792,
649,1,1,1,1,1,1,1,123,45,146,123,54,236,444,54,444,148,1,
983,236,444,205,894,462,853,879,1,1,1,54,444,1,148,1,462,
905,222,1,1,1,1,1,985,1,745,1,1,724,745,1,1,1,724,1,1,
1,26,81,123,20,62,156,20,156,117,841,841,62,156,151,644,
369,679,675,1,739,1,20,156,1,117,1,369,1,176,1,1,678,1,1,
838,1,640,662,640,662,407,1,1,1,397,1,1,1,81,138,20,113,
233,20,233,161,949,1,113,233,153,1,330,1,828,1,1,1,20,233,
1,161,1,330,1,111,1,1,766,1,1,1,1,323,556,792,323,1,1,1,
1,649,1,1,1,123,54,236,444,54,444,148,1,934,236,444,205,
879,462,1,1,988,985,1,54,444,1,148,1,462,853,222,1,1,930,
887,1,1,1,580,745,724,557,1,1,1,1,1,1,1,1,113,286,554,
113,554,228,1,1,286,554,139,1,188,1,1,1,767,1,113,554,1,
228,1,188,1011,133,1,1,1,1,1,767,1,486,510,521,416,510,1,
1,1,521,1,1,1,10,10,4,10,10,79,1,7,7,10,23,10,45,45,1,
59,1,4,7,1,7,1,10,23,10,1,1,26,26,1,59,1,1,31,31,1,31,
1,1,1,31,1,1,1,10,10,10,10,1,1,31,43,43,70,36,1,1,151,
198,1,7,31,1,43,1,43,70,36,1,1,1,151,1,1,1,1,126,1,126,
89,1,1,1,89,1,1,1,10,10,10,1,181,31,43,36,89,43,45,226,
226,1,1,7,31,1,43,1,36,89,43,1,1,151,1,1,1,1,1,1,26,
26,11,1,1,1,70,1,1,1,10,10,1,79,10,10,6,45,6,26,26,12,
1,1,4,10,1,10,1,6,45,6,1,1,23,23,1,1,1,31,1,1,31,31,
1,1,1,31,1,1,1,10,181,1,43,31,43,99,36,1,1,151,1,1,7,
43,1,31,1,43,99,36,1,1,1,52,1,1,1,26,26,1,1,70,1,1,1,
11,1,1,1,1,1,43,31,36,116,43,226,45,226,1,1,7,43,1,31,
1,36,116,43,1,1,52,1,1,198,1,126,1,126,1,89,1,1,1,89,1,
1,1,1,151,226,84,226,130,139,172,503,1,1,12,151,1,226,1,
84,226,130,1,1,422,1,1,1,1,527,1,1,295,59,1,1,1,278,1,
1,1,128,70,204,204,194,1,1,1,1,1,12,128,1,70,1,204,204,
194,1,1,209,215,1,1,1,1,295,527,1,323,1,1,1,59,1,1,1,
10,43,1,43,1,151,128,1,1,10,10,1,10,1,36,1,36,1,1,70,
70,1,198,1,89,1,126,89,1,1,1,1,126,1,1,1,43,226,43,151,
1,128,1,1,10,10,1,10,1,36,45,36,1,1,89,89,1,1,1,70,1,
26,11,26,1,1,1,1,1,1,1,204,10,119,119,1,122,1,10,36,1,
36,1,10,115,6,1,1,1,1,1,122,1,1,38,38,128,1,1,1,1,128,
1,1,1,1,1,308,1,1,1,26,1,1,45,1,115,26,194,1,1,195,308,
1,361,1,219,414,205,186,1,1,1,1,449,1,1,1,100,100,1,37,
1,10,36,1,36,1,6,194,10,1,1,1,1,1,17,1,144,43,10,29,29,
1,1,1,144,1,1,1,26,226,1,1,23,1,1,52,1,104,1,93,1,1,1,
195,1,1,1,242,1,1,205,1,1,1,1,102,1,1,1,226,620,1,23,
52,1,1,1,104,195,93,1,1,1,308,1,1,1,414,449,1,205,186,1,
1,1,1,1,1,1,514,1,79,70,1,70,1,1,422,1,1,1,139,172,1,
222,1,1,278,59,1,295,1,1,1,1,1,1,1,1,59,1,1,198,1,17,
1,122,1,1,196,1,1,1,1,149,1,1,1,1,1,1,1,149,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,10,1,10,1,10,26,10,1,1,45,45,1,59,1,31,31,31,31,1,1,
1,1,1,1,1,1,1,10,1,43,1,43,1,1,99,99,1,1,1,11,26,1,
70,1,1,1,1,26,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,43,226,43,1,1,116,116,1,1,1,89,
126,1,89,126,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,204,10,1,1,1,1,1,37,1,29,10,43,
144,144,1,1,1,29,1,1,1,1,1,1,1,1,1,608,1,102,242,205,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,122,1,128,38,38,1,128,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,26,1,1,1,1,102,1,1,
287,1,1,1,242,1,1,1,1,440,1,449,1,186,1,205,1,1,1,345,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,149,149,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,26,1,1,1,1,1,1,
29,1,1,1,1,1,1,1,1,1,26,1,1,1,26,26,1,1,1,1,1,1,1,
29,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,426,116,1,174,1,1,65,1,
35,1,1,10,116,48,1,235,86,1,10,116,1,10,1,1,1,1,1,1,48,
1,1,1,27,1,116,1,1,1,235,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,14,1,113,113,75,113,75,135,113,75,135,35,16,70,16,16,
48,16,1,1,70,16,33,134,10,1,134,1,1,1,16,48,1,16,1,27,
1,70,189,1,1,134,1,1,1,1,1,1,1,1,38,38,38,1,1,1,1,10,
658,1,274,1,337,1,1,337,290,64,232,1,52,1,15,1,367,1,1,
52,1,205,15,1,110,1,1,1,1,15,1,1,1,20,1,1,110,1,1,215,
1,1,1,32,32,1,1,1,1,1,1,32,1,1,1,1,1,274,1,68,1,1,
274,1,58,1,1,52,1,15,1,215,1,1,52,1,1,15,1,293,110,1,1,
232,15,1,1,1,20,1,1,1,1,1,1,1,1,1,1,1,1,1,1,32,32,32,
1,1,1,1,43,43,31,57,57,31,13,127,127,131,131,20,131,172,
333,528,1,131,20,333,627,34,1,688,1,1,1,131,172,1,333,1,
388,1,455,627,1,1,1,1,764,1,1,1,614,1,1,1,1,1,975,1,
614,1,43,43,43,26,31,57,57,52,131,131,20,131,172,333,1,
957,131,20,333,688,34,1,1,704,1,1,131,172,1,333,1,388,1,
455,601,1,1,1,825,1,764,1,1,1,1,614,1,1,1,1,614,1,1,57,
16,57,13,17,43,17,205,205,10,205,95,330,1,1,205,10,330,
371,13,1,343,343,95,312,205,95,1,330,312,243,1,107,340,1,
1,1,337,274,274,205,205,75,70,57,330,205,107,330,57,75,70,
43,57,43,43,26,52,131,131,20,131,172,333,704,1,131,20,333,
1,34,1,1,625,1,1,131,172,1,333,1,388,1,455,1,1,1,601,1,
1,1,975,1,1,614,1,1,1,1,1,1,1,614,57,57,16,57,15,205,
205,10,205,95,330,343,740,205,10,330,343,13,1,1,371,312,95,
205,95,1,330,410,243,1,107,409,1,1,409,68,337,274,330,205,
70,75,75,205,205,330,205,75,70,75,127,43,45,127,383,383,
179,383,186,326,730,1,383,179,326,774,113,1,1,1,1,1,383,
186,1,326,1,388,1,432,665,1,1,640,1,1,1,1,1,1,1,647,1,
1,731,1,647,1,1,43,57,127,131,131,20,131,172,333,625,1,
131,20,333,1,34,1,601,686,1,1,131,172,1,333,1,388,1,455,
1,1,1,627,1,825,825,975,975,614,1,1,1,1,1,1,1,614,1,57,
17,205,205,10,205,95,330,371,804,205,10,330,1,13,1,409,340,
410,312,205,95,1,330,410,243,1,107,1,1,1,340,337,68,337,
107,330,75,57,70,205,330,205,205,70,75,57,127,383,383,179,
383,186,326,1,1,383,179,326,1,113,1,640,689,977,1,383,186,
1,326,952,388,1,432,640,1,1,665,1,1,1,664,1,1,647,1,1,1,
1,1,1,1,647,480,480,13,480,141,358,1,1,480,13,358,1,10,1,
495,461,540,287,480,141,1,358,575,197,1,215,529,1,1,529,
190,428,436,536,448,214,146,146,448,448,536,448,146,214,146,
10,10,31,29,29,70,1,31,7,10,70,10,1,13,1,1,1,31,13,1,
31,227,84,1,84,31,1,1,1,32,32,1,1,1,38,1,38,172,1,1,
172,38,38,1,10,29,29,31,119,119,31,10,10,31,7,1,1,13,227,
1,31,13,1,84,1,84,1,31,70,1,1,70,32,1,32,1,172,1,38,38,
1,1,172,1,38,1,38,10,6,10,1,52,7,5,7,11,5,1,16,16,13,
13,7,6,1,10,13,7,1,10,11,1,1,1,6,10,10,20,20,7,7,5,20,
20,20,20,5,7,7,29,10,1,99,10,10,31,13,7,1,1,31,1,227,
31,29,1,29,227,22,1,31,70,1,1,70,32,1,32,172,1,1,38,38,
1,1,172,1,38,1,38,29,36,1,29,6,29,36,6,1,36,36,29,29,
13,14,1,13,13,14,1,13,13,1,1,13,15,15,15,29,29,48,48,48,
29,29,13,13,48,48,48,19,1,10,7,31,19,10,1,31,1,1,1,31,
29,1,31,1,22,1,29,31,1,1,1,32,32,1,1,1,38,1,38,1,172,
1,172,38,38,1,119,13,16,31,16,11,1,113,89,1,1,31,36,1,1,
389,30,1,70,89,1,1,1,32,1,115,1,1,1,110,38,87,246,232,1,
38,1,110,99,12,119,119,52,1,130,1,1,1,81,1,1,81,1,1,1,
1,81,1,1,1,195,195,1,1,1,149,1,149,1,1,1,1,149,149,1,
10,29,1,10,1,70,70,1,1,29,29,1,31,1,22,1,31,1,1,1,31,
1,32,32,1,1,38,38,1,1,172,1,172,1,38,38,10,16,5,1,1,11,
13,13,10,6,1,10,13,7,1,7,1,1,1,11,10,10,6,20,20,7,5,7,
20,20,20,20,7,7,5,119,10,1,19,19,1,1,84,13,1,31,227,84,
1,31,1,1,1,31,1,32,32,1,1,38,38,1,172,1,1,172,1,38,38,
1,1,89,1,1,389,1,36,1,31,1,30,1,70,39,1,1,89,1,32,115,
246,87,38,110,1,1,1,1,232,1,38,110,1,11,1,13,13,10,6,1,
7,13,7,1,10,16,1,1,16,10,6,10,13,13,5,7,7,13,13,13,13,
7,5,7,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,16,389,1,70,13,1,1,389,98,1,31,1,1,
1,89,115,1,32,87,232,1,38,110,1,1,394,232,110,1,38,1,1,
70,13,1,31,1,98,1,1,89,1,1,113,115,32,1,1,1,38,1,110,
232,87,232,394,110,38,1,29,1,29,1,227,29,22,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,99,1,99,1,1,1,227,13,1,1,84,84,1,
227,1,1,1,1,1,1,1,1,1,1,1,1,99,1,1,99,1,1,1,29,1,10,
1,84,1,10,1,1,1,13,1,32,32,1,172,38,38,1,1,172,1,1,1,
38,38,1,29,29,14,1,29,36,1,1,36,15,15,15,13,29,48,48,48,
29,13,29,29,48,48,48,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,84,1,10,19,1,1,19,32,1,32,172,1,1,
38,38,172,1,1,1,38,1,38,84,1,1,1,1,1,1,1,1,1,1,99,1,
1,1,1,99,1,1,1,1,1,1,84,98,1,1,98,20,20,20,84,22,27,
27,27,22,84,84,84,27,27,27,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,13,1,1,1,32,32,1,1,172,38,1,38,1,172,1,
1,38,38,1,1,1,16,1,115,32,246,246,110,38,1,1,394,1,87,1,
110,38,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,32,115,1,232,232,110,1,38,394,1,
1,87,38,110,1,10,10,1,1,14,14,1,1,1,1,1,1,14,14,10,1,
1,1,14,14,1,1,1,1,14,1,14,1,1,14,1,14,1,1,1,1,14,14,
1,29,1,1,1,31,10,31,84,1,1,1,1,1,1,10,31,31,29,1,1,1,
7,7,1,1,1,1,7,3,7,7,1,1,1,1,7,7,3,1,1,1,1,3,7,7,29,
29,31,1,1,1,84,31,1,1,1,10,1,1,1,1,1,1,7,7,7,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,391,391,1,1,
1,1,144,807,1,945,1,1,1,1,1,814,1006,890,1028,846,971,1,
1,1,1,1,850,760,776,1,1016,922,1018,1,1041,1,1,1,1,1,1,
1,1,787,709,1,1,1,1,1,1,1,1,128,1,1,168,1,168,763,1,
365,1,363,1,1,1,762,365,932,976,489,813,1,1017,1,1,1,363,
590,1,1,519,810,1,1,769,1,1,1,1,1,1,1,1,643,1,1,1,1,1,
1,1,1,391,1,1,1,1,144,877,1,1,814,850,1,1028,922,1,1006,
776,1,1,1,1,1039,1,1,1,1,753,890,1,1016,1,1,1,1,1046,1,
1,1,1,1,1,709,1,1,1,1,1,1,1,1,1,1,1,128,1,17,1,1,176,
749,206,1,1,885,749,176,1,1,162,1,1,1,1,1,1,206,472,1,1,
227,885,819,1,698,1,990,1,1,1,1,1,446,1,446,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
168,822,1,365,762,363,1,976,810,1,365,1,1,489,847,1,1014,
1,1,1,363,589,932,1,519,1,1,1,1,1,1029,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,657,1,85,1,164,1,1,1,1,85,1,1,71,897,1,1,1,1,
1,164,381,1,1,105,1,651,1,1,1,1012,1,1,1,1,1,355,256,
355,1,1,1,1,1,1,1,1,1,1,1,1,1,1,76,23,48,190,48,31,1,
1,1,1,1,70,52,76,1,31,194,31,1,1,294,294,1,1,1,1,1,144,
1,43,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,13,1,1,1,23,11,23,54,11,1,1,1,1,1,1,29,24,48,1,
16,80,48,1,20,160,1,1,1,1,1,1,19,19,10,1,1,1,1,1,1,1,
1,1,1,36,48,48,76,107,23,1,1,1,1,1,1,55,52,55,1,59,130,
76,1,1,116,1,1,1,1,1,1,1,144,43,1,1,1,1,1,1,1,1,1,1,
55,29,55,130,29,1,1,1,1,1,1,43,26,70,1,43,99,70,1,175,
175,95,1,1,1,1,1,1,1,29,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,107,19,36,19,54,1,1,1,1,1,1,130,30,
194,1,24,194,190,1,1,303,1,1,1,1,1,1,1,174,48,1,1,1,1,
1,1,1,130,130,194,194,80,1,1,1,1,1,1,99,104,99,1,168,
168,194,1,1,1,1,1,1,1,1,1,1,1,149,1,1,1,1,1,1,1,48,
55,1,1,1,1,1,1,1,1,1,31,76,1,59,36,1,1,1,189,1,1,1,1,
1,1,43,144,1,1,1,1,1,1,1,1,1,19,11,80,1,54,1,1,1,29,
24,1,1,6,130,23,1,61,1,54,1,1,1,1,1,19,10,19,1,1,1,1,
1,1,1,194,48,160,1,121,1,1,1,70,43,1,1,1,99,76,1,104,1,
74,1,1,1,1,1,144,43,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
20,36,1,24,1,1,1,1,111,1,1,1,1,1,1,48,174,1,1,1,1,1,
1,1,1,160,1,1,1,1,1,13,20,23,1,16,1,1,1,61,84,1,1,1,
1,1,1,10,19,19,1,1,1,1,1,1,1,1,1,1,1,1,43,43,149,1,
104,1,104,1,1,342,225,1,1,1,1,1,130,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,95,81,74,1,77,1,81,1,1,378,1,1,1,1,1,
1,155,1,155,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,43,55,1,43,1,1,
1,1,116,1,1,1,1,1,1,29,1,1,1,1,1,1,1,1,1,1,1,1,149,
81,1,76,1,157,1,1,1,1,1,1,52,52,1,1,1,1,1,1,1,1,1,
194,48,1,160,43,121,1,1,1,1,1,1,43,144,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,168,31,
1,80,1,77,1,1,1,1,1,56,17,56,1,1,1,1,1,1,1,1,1,1,303,
1,1,1,1,1,1,149,1,1,1,1,1,1,1,1,1,1,160,160,1,1,1,1,
1,1,43,1,144,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,175,1,1,1,1,1,1,192,192,1,1,1,1,1,1,1,1,
294,1,1,1,1,1,1,171,1,1,1,1,1,1,1,1,1,1,1,1,1,155,1,
155,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,19,19,1,1,1,
1,1,1,1,19,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,506,1,1,366,1,403,1,
573,298,368,198,1,379,184,36,1,378,338,122,1,249,378,168,
256,1,1,1,1,1,36,1,59,1,17,338,198,1,293,1,466,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,185,185,122,116,116,
122,26,81,81,156,198,424,156,424,54,921,1,198,424,248,908,
479,1,911,1,1,1,156,424,906,54,1,479,908,264,1,993,1,1,1,
1,1,1,1,580,1,703,799,513,703,1,1,1,1,185,185,185,20,122,
116,116,144,156,198,424,156,424,54,1,946,198,424,248,911,
479,1,1,1,1,941,156,424,993,54,1,479,1,264,937,1,1,1,1,
1,997,1,1,1,513,580,513,1,799,1,1,1,1,116,45,116,26,91,
38,91,169,195,356,169,356,81,1,1,195,356,269,858,493,881,1,
950,1,1,169,356,1015,81,1,493,968,136,940,1,1,1,1,1,1,1,
1,635,914,862,1,914,1,1,1,1,1,185,116,185,185,20,144,156,
198,424,156,424,54,1,937,198,424,248,1,479,1,1,993,1,1,
156,424,1,54,997,479,1,264,946,1,911,1,941,1,1,1,1,513,
799,1,1,580,513,1,1,1,1,116,116,45,116,32,169,195,356,169,
356,81,950,1,195,356,269,1,493,1,1,1,1,1,169,356,1,81,1,
493,881,136,1,950,1,881,1,1,1,1,1,914,1,635,914,635,1,1,
1,1,1,81,38,31,81,174,148,341,174,341,13,588,624,148,341,
37,594,254,624,606,672,1,1,174,341,642,13,1,254,597,147,
606,672,606,624,1,1,878,1,1,1,655,697,655,1,438,1,1,1,1,
185,116,81,156,198,424,156,424,54,993,1,198,424,248,1,479,
911,1,906,1,1,156,424,1,54,1,479,1,264,1,921,908,908,1,1,
1,1,1,799,703,513,580,703,1,1,1,1,1,116,91,169,195,356,
169,356,81,1,940,195,356,269,1,493,1,881,1015,1,1,169,356,
950,81,1,493,1,136,1,1,858,968,1,1,1,1,1,1,1,914,635,
862,914,1,1,1,1,81,174,148,341,174,341,13,672,606,148,341,
37,606,254,606,624,642,1,1,174,341,672,13,878,254,624,147,
624,588,594,597,1,1,1,1,1,655,438,1,1,697,655,1,1,1,1,
252,77,440,252,440,17,1,1,77,440,185,1,142,980,980,981,1,
700,252,440,981,17,721,142,1004,215,1,1,1,1004,700,1,721,1,
1,343,194,419,343,419,194,1,1,1,1,43,43,31,10,10,89,1,13,
31,21,1,21,1,89,1,1,1,31,31,89,7,127,43,89,43,102,102,
185,185,198,1,1,1,1,89,1,126,126,1,89,1,1,1,1,43,43,43,
6,189,189,16,21,21,144,16,104,1,104,1,1,13,36,1,10,257,
10,144,36,1,104,1,104,257,1,122,1,1,1,38,128,38,1,128,1,
1,1,1,10,31,10,1,89,36,43,10,99,43,102,185,185,1,84,31,
10,102,10,1,36,181,10,99,1,89,1,17,1,1,1,1,26,26,11,1,
70,1,1,1,1,1,43,10,1,99,43,43,10,89,36,185,185,102,1,
127,31,10,102,10,198,36,1,10,99,1,89,1,127,1,198,1,1,1,
126,89,1,89,126,1,1,1,1,10,99,1,21,31,21,181,13,1,89,1,
1,1,31,43,89,7,17,43,99,31,102,185,185,102,1,1,1,1,1,70,
1,1,26,26,11,1,1,1,1,67,67,10,7,6,67,10,39,14,39,1,59,
7,10,14,4,59,6,67,10,14,39,14,39,59,1,1,1,1,31,1,31,1,
31,31,1,1,1,1,189,104,185,19,185,100,330,205,284,1,275,
102,1,150,39,1,144,39,181,330,1,284,1,217,1,564,1,1,1,
298,99,1,172,562,1,1,1,1,1,102,116,116,1,1,284,1,1,1,
102,99,284,14,198,189,189,89,128,330,173,284,1,1,1,1,1,
213,1,1,287,1,65,1,1,1,1,43,21,1,10,1,104,1,1,257,43,
43,104,6,122,16,104,36,189,189,144,144,1,1,257,1,1,38,128,
1,1,128,38,1,1,1,1,21,185,43,89,1,89,1,1,10,31,1,10,1,
13,102,31,1,99,181,99,1,1,17,1,1,26,11,26,70,1,1,1,1,1,
1,116,21,160,160,160,1,1,21,10,160,6,127,21,19,10,116,19,
116,19,1,1,127,1,1,116,116,1,116,1,116,1,1,1,1,1,1,330,
1,1,1,185,89,330,14,392,144,185,99,173,284,128,330,1,1,1,
1,1,65,287,1,1,1,213,1,1,1,1,1,104,1,1,162,43,36,104,6,
37,16,100,43,189,144,144,189,179,1,179,1,1,10,29,29,144,
144,43,1,1,1,1,185,39,1,1,89,185,185,14,198,104,330,102,
284,205,330,150,1,1,1,1,1,213,1,1,1,287,65,1,1,1,1,185,
1,1,1,102,39,39,1,1,150,102,1,330,1,330,1,1,198,1,1,1,
65,287,213,1,1,1,1,1,1,1,1,89,102,185,14,275,104,284,185,
284,150,330,205,564,1,1,1,1,99,1,298,562,1,194,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,198,17,564,59,179,179,198,127,1,217,1,392,1,1,1,1,
1,1,1,1,149,1,149,1,1,1,1,43,1,10,1,21,185,43,1,89,1,
89,1,1,127,1,1,126,89,1,89,126,1,1,1,1,1,185,10,1,43,1,
10,89,1,99,181,84,1,1,1,1,1,1,70,26,11,26,1,1,1,1,39,
1,1,205,185,1,284,1,284,1,1,275,1,1,562,194,1,99,298,1,
1,1,1,1,1,10,39,10,67,67,67,67,59,1,59,1,1,1,31,31,31,
31,1,1,1,1,1,179,1,1,1,564,1,1,1,1,1,1,1,1,1,1,149,
149,1,1,1,1,1,189,43,1,100,1,100,162,1,37,1,1,144,43,
144,10,29,29,1,1,1,1,1,284,1,330,1,392,1,1,1,1,1,1,213,
287,65,1,1,1,1,1,89,181,99,1,127,1,1,1,1,126,1,89,126,
89,1,1,1,1,1,189,116,189,1,1,198,1,1,287,65,1,213,1,1,
1,1,1,1,185,39,275,1,1,1,1,1,562,172,1,99,298,1,1,1,1,
185,1,1,392,1,1,1,213,1,65,1,287,1,1,1,1,198,1,1,1,1,
287,1,65,1,213,1,1,1,1,1,1,179,1,1,149,149,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,149,1,149,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
26,26,1,1,1,1,1,1,1,29,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
26,26,1,1,1,1,29,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,65,
426,174,1,1,116,1,35,1,1,48,116,10,1,1,1,1,48,116,1,27,
1,1,1,1,1,1,10,1,1,1,10,235,116,86,235,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,244,246,246,1,1,1,
807,945,1,1,1,877,832,892,1,1,1,753,1,1,1,1,1,1,1022,1,
857,1,1,760,1055,1,1,1,1,1,1,787,1,1,1,1,1,1,861,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,368,86,368,1,104,185,104,1,1,363,763,365,1,1,1,
822,363,1,1,519,1,589,847,1,1,1,365,1,1,1,489,1034,1,590,
912,1,1,1,1,1,1,643,1,1,1,1,1,1,632,1,1,1,1,368,1,1,
1,1,712,1,801,676,1,1,848,958,676,429,777,1,1,1,600,882,
1,1,1,1,1,777,1,1,1,1,600,1,1,1,1,1,1,775,522,1,1,1,
1,1,1,1,1,1,1,1,1,139,1,88,768,1,415,1,402,1,840,947,
758,415,788,816,505,1,1,859,1,1,1,402,1,1,1,499,1008,1,
585,1,1,702,1,1,1,1,533,1,1,1,1,1,1,1,1,1,1,1,199,1,
1,903,1,984,909,856,1,1019,1026,1002,1,871,1,844,1023,811,
1,1,1,1,803,1,854,1,1,1,1025,811,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,835,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,104,808,1,415,758,402,1,967,1,1,415,1,
1,505,1,585,1,1,1,1,402,1,788,1,499,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,246,750,1,737,791,633,1,933,
978,791,1,904,951,706,1,1,992,1,1,1,633,1,904,1,1,917,
719,1,1,1,1009,1,1,1,522,778,1,1,1,1,1,1,1,1,1,1,1,1,
554,1,167,1,1,1,1,554,1,1,188,1,502,1,1,1,1,167,1,867,
1,268,1,1,486,1,1,596,1,1,1,454,454,1,1,1,1,1,1,454,1,
1,1,1,1,1,1,1,36,1,76,70,31,104,31,1,31,1,1,1,1,23,1,
76,1,48,107,48,52,1,1,1,1,1,1,1,144,1,1,1,1,1,1,43,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,13,1,1,1,
70,43,70,70,43,95,43,43,1,1,1,29,1,55,1,29,130,55,26,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,29,1,1,1,1,1,1,1,55,55,76,
176,59,81,81,52,1,1,1,48,1,48,1,23,190,76,52,1,1,160,1,
1,1,144,1,1,1,1,1,1,1,43,1,1,1,1,1,1,48,29,48,61,16,
1,20,160,1,1,1,11,1,23,1,11,54,23,24,1,1,61,1,1,1,19,
19,1,1,1,1,1,1,10,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,194,138,104,138,104,1,149,1,1,1,1,80,1,194,1,130,194,
130,104,1,1,1,1,1,1,1,1,1,1,1,1,1,1,149,1,1,1,190,40,
165,165,77,1,20,1,1,1,1,54,1,36,1,19,19,107,30,1,1,1,1,
1,1,1,174,1,1,1,1,1,1,48,1,1,1,55,48,1,1,1,52,31,1,1,
1,1,1,76,1,23,1,1,81,81,1,1,1,1,1,43,1,1,1,1,1,1,1,
144,1,1,1,1,138,43,130,1,99,1,1,1,29,1,1,1,13,40,70,1,
130,1,70,1,1,1,1,29,1,1,1,1,1,1,1,1,1,1,165,31,121,43,
160,1,1,1,23,1,1,1,1,36,76,1,74,1,104,1,1,1,1,43,1,1,
1,1,1,1,144,1,1,1,1,1,80,1,1,1,1,24,1,176,1,61,1,1,
36,1,1,70,1,1,1,104,1,1,1,1,1,1,1,1,1,1,1,1,29,1,1,
1,1,6,1,59,1,16,1,1,26,1,1,26,1,1,1,17,56,1,1,1,1,1,
1,56,1,1,1,81,1,1,1,1,1,1,74,1,54,1,1,157,1,1,1,1,1,
1,155,1,1,1,1,1,1,1,155,1,1,1,43,1,1,1,24,1,1,1,24,
30,52,1,157,1,76,1,1,1,52,52,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,149,1,80,1,1,126,40,1,1,1,1,1,1,1,1,1,1,1,1,1,
130,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,48,1,11,1,1,20,1,1,20,1,1,1,
10,19,1,1,1,1,1,1,19,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,194,55,43,121,1,160,1,1,
1,144,43,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,19,48,24,54,1,61,1,1,1,19,10,1,
1,1,1,1,1,19,1,1,1,1,20,1,1,1,1,1,1,48,174,1,1,1,1,
1,1,1,1,1,1,31,1,1,1,1,1,1,43,144,1,1,1,1,1,1,1,1,1,
1,81,1,26,1,1,1,1,52,1,1,1,1,1,1,52,1,1,1,1,1,1,1,1,
155,1,1,1,1,1,1,1,155,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,192,1,1,1,1,1,1,192,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,19,1,1,1,1,1,1,19,1,1,1,1,1,1,1,
1,1,19,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,391,391,1,1,1,1,144,1,1,1,814,1006,890,1,1,
1,850,776,1046,1016,1,1,753,1,1,877,1,1039,1,1,1,1,1,922,
1028,1,1,1,1,1,1,1,1,1,1,709,1,1,1,1,1,1,1,128,1,1,
168,1,168,1,1,363,762,365,932,1,1,1,363,1,1,519,1,847,
589,1,1,822,365,1014,1,1,489,1029,1,810,976,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,391,1,1,1,1,144,1,814,850,1,
1006,776,1041,1,1,1,890,1,1016,1,971,760,1,1,807,945,1,1,
1,846,1,1018,1,1,1028,922,1,1,1,1,1,1,1,1,1,709,787,1,
1,1,1,1,1,128,1,17,1,749,206,749,176,1,698,1,1,206,1,1,
227,1,1,472,1,1,1,176,1,1,1,162,990,819,885,1,1,885,1,1,
1,1,1,1,1,1,446,446,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,168,1,762,363,1,365,1,769,1,1,
363,932,1,519,1,813,590,1,1,763,365,1017,1,1,489,1,1,1,1,
976,810,1,1,1,1,1,1,1,1,1,1,643,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,164,1,85,1,1,1,1,
164,1,1,105,1,897,381,1,1,657,85,1,1,1,71,1012,651,1,1,
1,1,1,1,1,1,1,1,1,1,355,355,256,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,48,48,76,1,1,1,55,55,189,
59,1,1,31,1,1,76,23,1,1,1,1,1,1,130,107,1,36,1,1,1,1,
1,1,1,1,43,1,144,1,1,1,1,55,29,55,1,1,1,43,70,116,43,
1,43,43,1,1,70,29,95,1,1,13,1,1,99,130,1,1,1,1,1,1,1,
1,1,1,29,1,1,1,1,1,1,48,55,1,1,1,1,76,116,59,1,1,52,
1,1,1,1,1,1,1,23,1,76,36,1,107,130,1,1,1,1,1,1,1,1,1,
43,144,1,1,1,1,1,61,1,1,29,1,1,6,1,80,24,1,1,23,11,54,
1,1,11,54,23,130,19,19,130,1,1,1,1,1,1,1,1,19,19,10,1,
1,1,1,160,1,1,70,1,43,1,1,149,1,1,1,76,48,74,1,1,23,
121,48,99,194,36,194,1,1,1,1,1,1,1,1,1,144,43,1,1,1,1,
1,1,175,104,175,80,1,1,76,1,1,1,20,1,1,1,61,1,160,1,1,
1,1,1,1,1,1,1,1,1,1,192,1,192,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,55,175,43,1,1,26,1,
1,1,13,1,1,1,29,95,70,1,1,130,99,1,1,1,1,1,1,1,1,1,
29,1,1,1,1,1,1,1,1,160,43,1,1,48,23,121,1,1,48,74,76,
194,36,194,99,1,1,1,1,1,1,1,1,144,1,43,1,1,1,1,1,1,
342,1,1,1,294,160,378,1,1,84,294,160,1,303,111,303,1,1,1,
1,1,1,1,1,1,1,171,1,1,1,1,1,104,1,1,1,31,16,77,1,1,
16,77,31,168,24,24,168,1,1,1,1,1,1,1,1,56,56,17,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,43,1,1,31,1,1,1,1,160,225,104,1,1,1,1,
1,1,1,1,1,1,1,1,130,1,1,1,1,1,1,1,1,52,24,81,1,1,20,
157,81,104,30,20,149,1,1,1,1,1,1,1,1,1,52,52,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,48,294,31,1,1,190,194,1,1,1,1,1,1,
1,1,144,43,1,1,1,1,1,1,1,1,11,1,48,1,1,54,80,1,1,1,1,
1,1,1,1,19,10,19,1,1,1,1,1,1,1,1,81,1,1,1,1,1,1,1,1,
1,1,1,1,155,155,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,80,54,1,1,1,1,1,1,1,1,1,1,10,19,
19,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,155,155,1,1,1,
1,1,194,190,1,1,1,1,1,1,1,1,1,1,43,144,1,1,1,1,1,1,
194,168,1,1,1,1,1,1,1,1,1,149,1,1,1,1,1,19,194,1,1,1,
1,1,1,1,1,1,48,174,1,1,1,1,1,1,1,1,1,1,1,1,1,48,1,
174,1,1,1,1,1,1,1,1,1,1,1,1,149,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,19,19,1,1,1,1,19,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,3,7,7,7,5,7,7,7,38,38,54,38,54,136,1,1,38,54,136,
379,239,538,1,1,532,1,38,54,1,136,1,239,1,54,1,379,1,1,
1,1,1,1,1,1,1,296,296,1,1,296,1,296,1,7,7,7,5,7,7,7,
38,38,54,38,54,136,1,1,38,54,136,379,239,538,1,1,532,1,
38,54,1,136,1,239,1,54,1,379,1,1,1,1,1,1,1,1,1,296,296,
1,1,296,1,296,1,7,7,5,5,5,5,31,31,31,31,31,31,126,1,31,
31,31,1,45,1,126,1,1,1,31,31,215,31,1,45,212,11,212,1,
126,1,1,1,1,1,1,1,1,1,1,1,518,1,518,1,1,3,7,5,7,7,54,
54,131,54,131,75,227,1,54,131,75,347,202,1,1,1,1,1,54,
131,319,75,1,202,258,35,258,347,227,1,1,404,1,1,1,1,1,
500,500,1,296,500,296,500,1,7,5,7,7,54,54,131,54,131,75,
227,1,54,131,75,347,202,1,1,1,1,1,54,131,319,75,1,202,
258,35,258,347,227,1,1,404,1,1,1,1,1,500,500,1,296,500,
296,500,1,5,7,7,31,31,31,31,31,31,212,1,31,31,31,212,45,
215,215,1,1,1,31,31,1,31,1,45,1,11,1,212,212,1,1,1,1,1,
518,518,1,518,518,518,1,518,1,518,518,7,7,20,20,20,20,20,
26,195,1,20,20,26,1,22,194,79,1,211,1,20,20,194,26,211,
22,1,10,1,1,195,1,1,101,1,1,81,81,1,148,148,81,148,148,
148,148,81,3,131,131,143,131,143,59,1,1,131,143,59,1,131,
319,271,1,1,1,131,143,258,59,404,131,251,35,251,1,1,1,1,
1,1,1,626,626,1,1,1,626,707,1,707,1,626,131,131,143,131,
143,59,1,1,131,143,59,1,131,319,271,1,1,1,131,143,258,59,
404,131,251,35,251,1,1,1,1,1,1,1,626,626,1,1,1,626,707,
1,707,1,626,38,38,31,40,40,351,1,11,31,102,191,102,158,
284,1,377,1,31,31,283,20,509,123,260,123,128,128,1,1,1,
313,1,1,193,393,1,586,537,1,654,741,537,654,1,38,38,38,20,
1,1,31,40,40,128,38,283,1,1,509,1,11,31,158,102,377,102,
128,93,191,260,1,1,1,1,1,1,393,1,1,537,654,1,537,586,586,
1,382,40,31,40,1,1,31,107,31,333,107,107,1,1,687,1,31,31,
107,157,687,45,354,157,333,354,1,1,1,1,1,1,870,1,1,216,
883,1,883,864,216,707,707,38,40,1,1,38,38,20,260,38,213,
213,1,1,1,31,40,63,40,321,38,191,11,268,1,179,1,1,1,1,1,
1,1,1,654,1,382,586,537,741,1,356,40,1,1,40,31,40,354,26,
1,517,1,1,1,31,107,283,31,102,107,333,93,128,370,370,1,1,
1,1,1,1,1,1,883,707,707,216,216,864,1,1,481,1,102,31,31,
477,102,1,172,1,1,1,20,157,26,31,572,20,477,157,120,1,38,
1,1,381,1,1,1,467,1,784,1,559,784,747,747,872,1,1,179,
370,38,370,270,485,302,1,1,1,26,269,49,246,920,54,246,269,
471,1,1,1,1,1,1,1,1,1,1,820,1,1,995,996,851,1,880,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,38,40,1,102,1,380,1,1,1,38,38,223,
20,465,38,268,93,1,1,26,1,1,313,1,1,1,382,1,1,1,356,741,
654,1,741,193,40,370,107,530,1,1,1,1,40,31,305,40,565,26,
128,93,1,447,269,1,1,1,1,1,1,707,1,707,1,1,864,883,1,1,
38,1,102,437,1,1,502,1,102,31,437,31,484,102,120,40,246,
120,246,1,1,381,1,1,467,559,1,1,872,1,747,784,1,696,535,
1,1,690,1,1,1,1,447,1,120,1021,198,1,546,359,725,95,1,1,
561,1,1,1045,743,1,1,1,780,1033,1040,1,998,964,255,247,1,
571,1,123,45,351,20,1,146,451,123,1,198,54,1,1,40,1,1,
874,102,1,1,965,630,1,1,735,450,735,213,1,1,1,223,160,160,
26,744,279,607,157,1,233,563,1,1,935,1,1,1,1005,1,1,1,
963,999,929,1,1,1,1,1,1,213,145,224,224,969,376,186,194,1,
332,1,1,1,1,1,1,1,1,1,1020,1030,1,1000,989,1007,1,722,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,465,1,744,558,1,269,1,413,1021,1,682,1,1,1,1,1,
1,1,1,1,1,728,954,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,38,1,40,1,102,1,123,1,
268,191,1,1,253,1,1,382,356,1,1,741,193,1,1,1,586,393,
160,40,1,107,1,157,447,1,221,1,1,526,1,1,707,1,1,1,1,38,
1,707,1,864,870,224,1,1,233,1,1,607,1,1,1,641,1,1,637,
839,1,1,999,869,1,1,1,973,925,1,102,246,157,514,514,1,1,
1,1,1,1,559,1,1,872,696,535,1,1,696,1,515,1,1,1,1,1,
927,1,1,1,1,1,821,1,1,1,954,821,1,1,1,1,1,1,123,358,
324,1,1,1,1,1,1,102,630,1,965,450,735,735,1,1,1,674,1,
725,1,1,1,1,1,1,1,961,852,1,1033,1035,732,1,1,1040,1001,
1056,1,295,481,1,1,263,1,1,394,394,1,1,738,684,1,1,986,
655,1,1,246,1,1,793,1,1,1,961,1,1,1033,852,1,1063,1,1035,
732,370,1,1,1,1,1,1,1045,1,1040,1,743,1035,1024,1033,1,
780,1,1,1,1,1,577,1,1,996,820,1,1,1,995,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,886,1,1,1,1,843,1,569,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,614,45,252,707,1,1,1,1,
707,1,1,1,1,252,614,45,1,1,1,1,1,1,1,1,1,1,1,1,1,406,
252,707,1,406,1,1,1,735,252,1,1,1,1,1,1,1,1,1,1,1,735,
707,7,7,7,5,7,7,7,38,38,54,38,54,136,1,1,38,54,136,379,
239,538,1,1,532,1,38,54,1,136,1,239,1,54,1,379,1,1,1,1,
1,1,1,1,1,296,296,1,1,296,1,296,1,3,7,7,7,7,5,38,38,
54,38,54,136,1,538,38,54,136,1,239,1,1,379,1,532,38,54,
379,136,1,239,538,54,538,1,1,538,532,1,1,296,1,1,296,1,1,
1,296,1,296,1,1,7,7,7,7,5,38,38,54,38,54,136,1,538,38,
54,136,1,239,1,1,379,1,532,38,54,379,136,1,239,538,54,538,
1,1,538,532,1,1,296,1,1,296,1,1,1,296,1,296,1,1,5,5,5,
5,20,20,26,20,26,13,1,150,20,26,13,50,26,150,1,50,1,1,
20,26,128,13,1,26,123,10,123,50,1,150,1,1,1,518,1,1,518,
518,518,1,518,518,518,518,1,7,7,5,31,31,31,31,31,31,1,
212,31,31,31,126,45,126,1,215,1,1,31,31,1,31,1,45,1,11,
1,126,1,212,1,1,1,518,1,1,518,1,1,1,1,1,1,1,1,3,7,54,
54,131,54,131,75,1,317,54,131,75,1,202,227,1,327,1,1,54,
131,347,75,1,202,1,35,1,1,1,317,1,1,404,421,1,1,421,1,1,
1,500,1,500,1,1,7,54,54,131,54,131,75,1,317,54,131,75,1,
202,227,1,327,1,1,54,131,347,75,1,202,1,35,1,1,1,317,1,
1,404,421,1,1,421,1,1,1,500,1,500,1,1,38,38,70,38,70,31,
1,113,38,70,31,1,38,241,1,241,244,308,38,70,113,31,1,38,
110,10,110,1,1,113,308,1,185,141,1,1,141,306,306,1,488,
306,488,306,1,38,38,31,40,40,1,1,11,31,102,213,102,191,1,
1,321,1,31,31,268,20,1,123,223,123,63,99,1,1,321,1,1,1,
1,1,1,356,193,1,741,382,586,393,1,38,38,38,20,1,1,31,40,
40,99,38,351,1,284,465,1,11,31,191,102,1,102,63,93,158,
284,1,351,377,1,313,1,1,1,393,193,393,1,586,356,537,1,1,
40,31,40,1,1,31,107,31,312,107,38,1,1,565,1,31,31,128,
157,1,45,305,157,283,399,1,1,102,1,1,1,1,1,1,38,870,1,
864,1,216,1,1,38,40,1,351,38,38,20,284,38,1,1,99,1,465,
31,40,128,40,1,38,158,11,283,1,1,191,509,1,253,393,1,1,
193,393,1,1,537,193,654,1,1,40,1,1,40,31,40,399,26,1,1,
399,1,1,31,107,333,31,1,107,283,93,107,1,1,38,687,1,526,
1,1,1,870,870,1,1,216,38,883,1,1,1,481,102,31,31,514,102,
220,1,220,1,558,20,157,120,31,1,20,437,157,26,220,1,220,
572,1,1,467,1,1,1,515,1,1,747,535,784,467,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,191,38,220,220,330,1,1,1,942,1,26,221,
471,38,1,344,344,455,49,548,1,1,920,1,1,1,1,1,1,772,955,
1,851,567,995,953,1,38,40,1,102,1,1,213,1,321,38,38,260,
20,1,38,283,93,213,213,1,26,1,1,253,193,1,1,356,1,1,1,
654,393,1,382,1,40,1,107,1,1,312,1,565,40,31,354,40,1,26,
107,93,1,517,1,221,1,1,17,870,1,1,38,1,1,1,883,870,707,
707,1,220,102,481,1,514,558,1,102,31,477,31,1,102,26,40,1,
172,1,38,1,1,385,1,1,1,515,1,467,1,784,515,1,559,1,1,1,
1,1,1,910,213,517,332,172,1,246,213,1,396,581,1,504,1,1,
827,944,1,1,1013,1,1,1,1030,1,1,722,1,330,1,1,1,1,123,
45,451,20,1,146,351,123,344,246,1,344,570,1,570,874,1,1,
400,400,874,1,1,674,1,102,1,1,220,1,942,179,370,370,38,1,
270,563,49,485,302,1,22,1,1,782,955,1,1,772,1,1,1,820,
577,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,910,1,380,145,1,172,1,1,539,1,1,1,
1,302,1,1,1,1,1,1,1,1013,944,1,1,1,1007,714,1,1,509,1,
1,502,1,269,1,464,1,1,1,1,1,1,1,708,1,1,1,1,1,1,960,
796,1,1,1,377,102,1,484,1,1,824,1,713,639,1,1,1,1,1,1,
1,1,1,1,708,1,1,708,1,1,1,38,1,40,1,102,213,123,1,380,
1,179,1,1,313,356,1,1,382,1,382,1,1,1,1,356,1,370,40,1,
107,1,157,530,1,1,269,1,1,526,38,1,1,1,1,707,1,707,1,1,
1,1,1,1,1,233,1,1,690,1,1,1,1,1032,961,1,1,1,1045,743,
1,1,1,1,780,1,1,102,1,157,437,1,1,1,502,1,385,515,1,1,
535,467,559,1,1,1,872,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,344,123,255,247,1,422,571,1,353,400,1,
1,674,874,102,1,1,400,965,630,1,1,591,1,1,1,1,1,1,637,1,
1,1,1005,963,1,1,1,1,1,1,487,313,1,1,661,1,1,684,1,1,1,
684,394,1,1,1,1,394,1,213,1,344,1,1,541,839,1,1,637,1,
1005,1,1,1,1,963,1,1,220,1,1,845,714,1,1,944,1,1,1,1020,
1,1030,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,609,1,1,
1,1,1,1,567,772,1,1,1060,851,955,1,1,570,1,1,1,821,1,1,
1,1,1,1,728,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,595,
1,1,1,1,843,595,1,1,1,1,1,45,1,252,400,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,400,1,1,1,1,252,45,1,
1,1,1,1,614,45,1,1,707,45,1,1,1,1,1,1,1,1,614,1,1,1,
1,1,1,707,1,1,7,3,7,7,5,7,54,54,131,54,131,75,1,1,54,
131,75,1,202,1,227,347,1,1,54,131,327,75,404,202,317,35,
317,1,1,1,1,1,1,500,1,1,500,1,1,1,421,1,421,1,1,7,5,5,
5,5,31,31,31,31,31,45,1,1,31,31,45,212,146,1,1,212,128,
128,31,31,126,45,86,146,215,8,215,212,1,1,128,86,139,26,
13,13,26,26,26,13,13,26,13,26,13,7,7,5,7,54,54,131,54,
131,75,1,1,54,131,75,1,202,1,227,347,1,1,54,131,327,75,
404,202,317,35,317,1,1,1,1,1,1,500,1,1,500,1,1,1,421,1,
421,1,1,7,5,7,20,20,20,20,20,26,1,1,20,20,26,195,22,79,
194,194,101,1,20,20,1,26,1,22,1,10,1,195,1,1,1,211,211,
148,148,148,148,81,81,148,1,81,1,81,148,7,3,136,136,53,
136,53,213,1,1,136,53,213,1,106,1,1,379,215,185,136,53,
379,213,215,106,1,17,1,1,1,1,185,215,215,157,134,134,157,
134,134,134,157,134,157,134,134,7,31,31,38,31,38,43,1,1,
31,38,43,113,45,92,172,106,308,1,31,38,157,43,185,45,146,
8,146,113,1,1,1,1,244,34,148,148,34,1,1,148,24,1,24,1,
148,136,136,53,136,53,213,1,1,136,53,213,1,106,1,1,379,
215,185,136,53,379,213,215,106,1,17,1,1,1,1,185,215,215,
157,134,134,157,134,134,134,157,134,157,134,134,40,40,31,
102,102,1,1,31,20,125,316,125,322,1,1,318,1,31,20,349,20,
485,146,1,146,145,38,1,1,1,1,1,1,383,1,1,622,460,1,551,
553,551,498,1,40,40,40,26,1,1,31,102,102,38,26,340,1,1,
287,1,31,20,383,125,483,125,145,17,383,298,1,1,483,1,1,1,
1,1,1,460,498,1,551,622,551,1,383,102,11,102,1,1,20,83,
70,426,83,63,1,1,176,402,20,11,99,81,402,16,213,81,455,
191,1,1,81,134,134,233,233,34,34,70,356,233,151,356,24,102,
102,40,102,1,1,40,40,26,298,26,457,457,128,1,374,31,102,
145,102,1,26,383,36,349,1,1,1,485,1,384,1,1,1,383,498,1,
383,551,460,551,1,1,102,1,1,102,11,102,191,16,1,186,191,
140,140,20,83,455,70,81,83,455,24,99,1,1,1,402,365,365,34,
34,233,233,356,102,102,24,70,151,356,233,1,1,125,70,69,509,
125,254,235,254,1,384,20,81,304,116,473,81,343,81,304,1,1,
1,473,384,1,478,1,478,1,1,1,433,1,568,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,40,102,1,
125,1,347,348,1,1,40,40,1,26,374,26,349,17,318,318,1,1,1,
545,485,383,1,383,1,1,1,1,551,498,1,553,383,102,1,83,148,
1,346,176,402,102,11,213,102,402,16,99,24,1,177,1,1,102,
102,81,233,233,102,20,102,356,233,151,356,81,81,20,1,125,1,
436,1,1,1,125,70,343,69,1,125,304,22,1,81,1,1,1,491,1,1,
478,433,524,1,1,1,1,1,1,631,439,1,1,508,1,1,1,318,177,
504,81,1,34,318,387,302,1,1,1,1,705,1,599,1043,471,790,1,
1,1,616,761,1,612,729,234,458,1,162,499,146,16,324,81,499,
20,324,146,1,34,1,1,235,95,235,330,330,26,112,112,493,330,
208,493,146,81,146,457,254,1,1,228,213,213,146,751,534,1,
294,497,320,1,1,1,1,893,756,1,551,552,1,1,1,1,818,1010,
833,715,1,923,1,348,128,285,285,901,235,186,144,1,1,1,1,1,
1,1,1,876,1,1,896,663,1,726,695,1,1,628,1,1,347,128,430,
246,1,297,690,430,332,95,1,1,928,1,1,1,666,1,1,1,748,1,
938,831,1,610,1,140,287,140,705,1,140,22,815,422,1,1,1,1,
1,1,1,268,1,1,1,1,1,1,410,376,1,1,1,483,81,1,1,131,131,
1,1,1,615,1,1,1,1,1,1,363,1,1,1,1,1,1,1,1,1,1,40,1,
102,1,125,318,146,1,307,1,1,1,485,545,1,383,1,383,1,553,
383,1,1,1,622,1,213,102,140,83,1,81,237,1,1,1,402,365,
365,20,102,233,233,356,81,20,81,102,151,356,233,285,1,1,1,
430,1,660,1,1,1,1,900,849,765,802,733,1027,1,1,1,1,1,855,
716,1,125,1,81,338,477,1,1,543,1,477,524,433,1,439,1,631,
439,1,1,611,1,524,131,1,1,1,823,1,1,1,1,1,420,352,1,1,
1,459,375,1,1,1,1,1,1,146,335,1,1,1,499,489,489,112,26,
330,330,493,81,146,146,112,208,493,330,1,617,1,1,1,785,918,
1,765,849,665,1,734,959,1,1,1,734,755,1048,532,308,1,1,
468,468,1,477,477,477,1,1,1,477,1,1,1,525,1,318,1,1,1,
972,1,802,733,849,765,1,734,665,1,1057,1,959,1,1,1,834,1,
692,471,1,1043,599,761,1,471,902,1,616,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
102,235,1,1,420,352,1,1,1,1,1,1,1,363,134,1,1,1,1,390,
1,1,1,1,1,1,363,1,1,1,1,1,1,1,1,1,1,363,1,34,1,1,1,
70,70,52,112,1,1,1,1,1,1,75,31,52,102,1,1,1,34,102,1,1,
1,1,52,75,31,112,1,1,1,1,52,70,70,1,1,1,1,57,70,45,102,
81,70,1,1,1,146,45,1,1,1,57,1,1,1,1,1,1,81,146,102,7,
7,7,7,5,38,38,54,38,54,136,1,538,38,54,136,1,239,1,1,
379,1,532,38,54,379,136,1,239,538,54,538,1,1,538,532,1,1,
296,1,1,296,1,1,1,296,1,296,1,1,7,7,5,7,54,54,131,54,
131,75,1,1,54,131,75,1,202,1,227,347,1,1,54,131,327,75,
404,202,317,35,317,1,1,1,1,1,1,500,1,1,500,1,1,1,421,1,
421,1,1,3,7,7,38,38,54,38,54,136,379,1,38,54,136,1,239,
1,538,1,1,1,38,54,1,136,1,239,1,54,1,1,379,1,1,532,1,1,
296,296,1,1,1,296,1,1,1,1,296,7,7,38,38,54,38,54,136,
379,1,38,54,136,1,239,1,538,1,1,1,38,54,1,136,1,239,1,
54,1,1,379,1,1,532,1,1,296,296,1,1,1,296,1,1,1,1,296,5,
20,20,26,20,26,13,50,123,20,26,13,1,26,1,150,128,1,1,20,
26,50,13,1,26,150,10,150,1,50,123,1,1,1,518,518,518,518,
1,1,518,518,1,518,1,518,38,38,70,38,70,31,1,110,38,70,31,
1,38,1,241,113,1,308,38,70,241,31,185,38,113,10,113,1,1,
110,308,244,1,488,306,306,488,1,1,306,141,1,141,1,306,38,
38,31,40,40,380,1,11,31,102,1,102,1,179,1,1,1,31,31,380,
20,313,123,179,123,26,1,213,213,377,509,1,1,356,382,1,1,1,
1,382,1,356,1,1,38,38,38,20,213,213,31,40,40,1,38,1,1,
260,1,1,11,31,213,102,253,102,26,93,191,1,1,283,321,1,1,
1,382,1,654,1,1,1,356,1,193,1,393,40,31,40,1,530,31,107,
31,1,107,1,370,370,1,1,31,31,145,157,526,45,269,157,221,1,
517,1,102,1,1,1,1,707,707,1,1,1,1,1,38,1,1,38,40,1,283,
38,38,20,1,38,1,1,128,1,509,31,40,99,40,253,38,191,11,
351,1,284,158,465,1,1,654,1,1,537,1,1,393,193,1,393,1,
193,40,517,1,40,31,40,1,26,1,1,354,1,1,31,107,312,31,17,
107,221,93,38,1,1,107,565,1,1,707,707,1,883,1,1,1,38,1,
870,1,870,1,437,102,31,31,1,102,1,38,1,1,502,20,157,172,
31,385,20,1,157,38,1,172,1,484,502,1,872,1,559,1,1,1,467,
535,1,515,1,1,213,284,1,172,1,247,1,302,690,1,1,99,399,1,
220,845,246,220,313,548,1,581,1,639,1,1,1030,1,1,1020,1,1,
1,944,1,714,1,1,158,107,1,1,255,1,485,1,1,1,63,283,1,26,
541,344,344,487,49,1,396,591,713,1,1,1,963,1005,1,1,1,1,
637,1,839,1,1,38,40,1,102,1,351,191,1,377,38,38,284,20,
313,38,351,93,1,1,99,63,1,465,1,537,1,393,586,1,1,193,
393,1,1,1,356,40,1,107,1,1,333,1,687,40,31,399,40,526,26,
38,93,1,1,399,283,1,1,1,883,1,1,216,1,1,870,870,1,1,1,
38,1,102,1,481,477,1,1,102,31,514,31,385,102,38,40,220,1,
220,26,1,558,1,1,559,467,784,1,1,1,515,1,1,1,515,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,270,1,1,571,123,45,1,20,353,146,422,123,344,
1,246,344,1,269,1,965,630,102,1,1,1,874,674,1,400,1,400,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,370,1,1,191,38,220,220,782,330,22,49,1,1,1,
563,942,1,1,1,1,1,820,1,1,1,772,1,955,1,577,1,1,268,128,
1,120,1032,451,1,1,471,1,332,233,1,1,1,1,780,743,1,1,1,
1045,1,1,961,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,321,102,1,572,570,570,609,661,920,
1,1,1,1,1,1,1,728,1,1,1,1,1,821,1,1,1,1,38,1,40,1,
102,1,123,1,1,213,223,1,321,1,586,393,193,741,1,1,356,1,
1,1,1,382,1,40,1,107,1,157,1,1,312,305,1,565,1,216,1,
870,864,1,1,38,1,1,1,1,1,220,1,1,302,1,1,1,1,539,1,910,
1,1007,714,944,1,1,1,1013,1,1,1,1,1,1,102,220,157,481,1,
514,437,558,1,1,784,467,1,747,1,1,515,1,1,467,1,535,570,
1,1,1,1,827,1,1,1,1,843,595,1,1,1,1,595,1,1,1,1,1,344,
123,330,1,1,351,1,1,1,1,102,874,1,1,1,400,400,1,874,1,
674,1,1,1,504,1,1,1,1,851,955,772,1,1,1,567,1,1,1,1,
1060,455,1,1,1,1,464,1,1,394,394,1,1,1,684,1,1,684,1,1,
1,220,344,1,942,1,995,953,955,851,1,1,772,1,1,1,1,567,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,213,910,1,1,1,722,1,
1030,1,1,1,1013,1,944,1,1,824,1,1,1,1,963,1,1,1,1005,1,
1,637,1,1,1,1,1,1,708,1,1,1,1,1,1,1,1,708,1,1,1,1,
960,1,1,1,1,1,708,1,796,1,1,1,1,1,1,1,1,1,1,1,1,707,
1,1,1,1,614,252,1,1,1,1,1,1,1,1,45,45,1,1,1,1,707,1,
1,1,1,1,45,1,45,1,1,1,1,1,252,1,614,1,1,1,1,1,1,1,1,
1,1,1,1,1,400,1,1,1,1,1,1,1,1,1,1,1,1,400,1,7,5,7,7,
54,54,131,54,131,75,227,1,54,131,75,347,202,1,1,1,1,1,54,
131,319,75,1,202,258,35,258,347,227,1,1,404,1,1,1,1,1,
500,500,1,296,500,296,500,1,7,3,7,54,54,131,54,131,75,347,
258,54,131,75,227,202,1,1,319,404,1,54,131,1,75,1,202,1,
35,1,227,347,258,1,1,1,296,500,500,296,1,1,500,1,1,1,1,
500,7,5,31,31,31,31,31,45,212,215,31,31,45,1,146,1,1,126,
86,128,31,31,212,45,139,146,1,8,1,1,212,215,128,128,86,13,
26,26,13,13,13,26,26,13,26,13,26,7,54,54,131,54,131,75,
347,258,54,131,75,227,202,1,1,319,404,1,54,131,1,75,1,202,
1,35,1,227,347,258,1,1,1,296,500,500,296,1,1,500,1,1,1,
1,500,26,26,20,26,20,26,1,194,26,20,26,1,17,1,1,195,86,
34,26,20,195,26,86,17,194,8,194,1,1,194,34,86,86,81,102,
102,81,102,102,102,81,102,81,102,102,40,40,31,102,102,347,
1,31,20,125,348,125,1,1,1,1,1,31,20,307,20,1,146,228,146,
107,128,457,457,318,485,1,1,1,383,1,1,383,1,553,383,622,1,
1,40,40,40,26,457,457,31,102,102,128,26,1,1,298,374,1,31,
20,316,125,384,125,107,17,322,1,1,340,318,1,545,1,383,1,
498,383,1,1,622,1,460,1,1,102,11,102,1,148,20,83,70,346,
83,1,1,1,402,176,20,11,26,81,365,16,158,81,346,191,186,1,
17,102,102,356,233,102,102,20,233,233,356,233,70,34,34,40,
102,1,340,40,40,26,1,26,1,1,38,1,287,31,102,38,102,485,
26,322,36,340,1,1,322,287,1,485,498,1,1,460,1,1,1,460,
383,498,1,383,102,186,1,102,11,102,191,16,1,1,191,140,140,
20,83,426,70,81,83,346,24,63,1,1,63,176,402,365,102,102,
233,356,233,34,34,70,20,356,233,233,436,1,125,70,69,1,125,
1,1,1,1,1,20,81,54,116,1,81,536,81,1,254,235,254,419,543,
1,1,1,433,1,524,1,478,568,439,1,478,1,457,1,1,235,1,458,
1,1,508,1,923,128,191,95,254,837,139,254,391,1,1,652,1,
578,1,1,663,1,1,896,1,1,876,748,666,610,1,836,322,63,254,
254,234,1,1,1,1,1,107,346,547,1,773,423,423,1,132,1,233,
520,667,1,1,1,1,551,1,552,756,1,1,492,685,781,1,40,102,1,
125,1,1,316,1,318,40,40,298,26,545,26,340,17,457,457,128,
107,1,374,384,460,1,1,622,1,1,383,498,1,1,383,1,102,1,83,
1,1,426,402,176,102,11,191,102,365,16,63,24,1,186,191,346,
140,140,81,356,233,34,70,34,233,233,356,233,102,102,20,254,
125,1,1,509,384,1,125,70,509,69,477,125,1,22,254,235,254,
1,1,384,477,1,433,478,1,1,478,1,1,524,1,433,524,1,1,1,1,
1,1,457,186,1,235,1,139,457,1,233,652,150,1,1,670,915,748,
1,1,1,1,1,666,663,876,1,628,866,1,1,1,499,162,146,16,252,
81,489,20,200,146,423,139,139,423,205,95,205,493,330,26,112,
112,330,330,493,330,112,26,112,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,307,26,163,54,692,252,563,163,547,95,1,320,1,786,1,1,1,
471,1,790,599,1043,720,1,888,471,1,140,485,102,786,543,102,
95,895,1,1,1,670,834,1,1,1,1,1,1,1,1,1,363,390,375,1,1,
1,318,17,1,419,205,205,634,422,667,578,1,653,1,1,1,1,1,1,
1,1,268,1,418,1,1,1,1,40,1,102,1,125,457,146,1,347,348,
228,1,1,1,622,1,383,553,1,383,1,1,1,1,1,383,1,102,102,
83,1,81,148,1,346,158,176,402,365,70,34,233,356,233,102,20,
102,34,356,233,233,1,1,1,320,163,1,508,1,563,1,1,692,888,
471,599,720,1043,471,790,1,1,1,1,1,1,125,254,81,1,436,1,
536,1,1,1,1,478,1,568,478,433,524,1,1,1,1,439,205,1,1,1,
1,915,1,1,1,1,459,420,1,1,1,379,363,1,1,1,1,1,423,146,
234,458,1,200,162,499,489,112,26,330,493,330,26,112,112,112,
493,330,330,1,520,1,1,1,653,834,1,1,756,552,1,551,1,492,
1,1,833,715,979,1,391,1,1,422,1,1,1,477,477,1,477,477,
477,1,1,1,477,1,457,254,423,1,1,773,685,781,756,1,1,551,
552,1,1,1,1,492,1,254,923,1,837,610,1,1,748,876,1,1,896,
836,663,1,666,457,1,1,1,1,628,1,663,666,1,1,1,866,748,1,
876,634,895,1,833,715,1,1,492,552,551,1,979,1,756,1,140,
205,1,1,268,418,1,1,1,1,1,1,1,1,102,1,1,1,390,363,1,1,
1,1,1,1,375,1,1,379,1,363,1,1,1,1,459,420,1,102,1,1,1,
70,75,38,112,1,1,1,1,1,1,70,31,70,34,1,1,1,102,34,1,1,
1,1,70,70,31,112,1,1,1,1,38,70,75,1,1,1,1,75,31,31,34,
102,31,1,1,1,112,31,1,1,1,75,1,1,1,1,1,1,102,112,34,7,
7,3,131,131,143,131,143,59,1,251,131,143,59,1,131,271,319,
258,1,1,131,143,1,59,1,131,1,35,1,1,1,251,1,1,404,707,1,
1,707,626,626,1,1,626,1,626,1,5,7,31,31,38,31,38,43,113,
146,31,38,43,1,45,172,92,157,1,1,31,38,106,43,244,45,1,8,
1,1,113,146,1,308,185,24,1,1,24,148,148,1,34,148,34,148,
1,7,31,31,45,31,45,16,86,128,31,45,16,86,31,128,128,139,
1,1,31,45,139,16,1,31,128,8,128,86,86,128,1,1,1,518,1,1,
518,1,1,1,518,1,518,1,1,131,131,143,131,143,59,1,251,131,
143,59,1,131,271,319,258,1,1,131,143,1,59,1,131,1,35,1,1,
1,251,1,1,404,707,1,1,707,626,626,1,1,626,1,626,1,107,
107,31,75,75,292,1,13,89,70,546,70,1,292,1,1,1,31,89,292,
10,423,59,292,59,102,102,134,134,1,423,1,1,1,1,1,826,830,
1,470,646,547,623,1,107,107,107,10,134,134,31,75,75,102,31,
186,1,245,1,1,13,89,435,70,598,70,102,36,546,245,1,186,1,
1,266,1,1,1,623,830,623,1,547,826,543,1,1,75,69,75,1,255,
89,172,13,297,172,81,200,200,1,1,89,34,134,57,1,89,573,57,
297,1,297,1,1,570,570,783,1,1,1,495,1,1,699,991,66,1,1,
107,75,1,186,107,107,10,245,31,134,134,102,1,1,31,75,102,
75,579,31,546,13,292,1,292,1,1,1,366,623,1,1,830,623,1,1,
543,830,412,1,1,75,297,1,75,69,75,1,34,1,297,1,1,1,89,
172,281,13,269,172,297,76,134,200,200,81,1,523,1,1,1,1,1,
1,1,1,66,495,891,783,1,274,68,70,13,8,337,70,174,19,174,
1,1,10,57,19,8,310,10,274,57,19,174,19,174,1,310,1,542,1,
1,1,542,1,1,395,569,221,542,1,134,292,200,19,200,292,245,
203,324,1,1,102,1,128,65,1,102,65,1,328,1,328,1,1,1,711,
797,1,1,1042,736,1,1,1,1,618,1,1,1,81,174,174,1,1,245,1,
1,1,26,255,313,13,584,134,134,120,95,241,235,126,1,779,1,
1,1,1,1,1,1,1,445,752,1047,926,1,107,75,1,70,1,292,546,
1,1,107,107,292,10,443,31,292,36,200,200,102,26,1,443,366,
830,1,1,826,1,1,1,412,623,1,646,1,75,200,172,255,1,297,1,
1,75,69,573,75,1,34,134,76,1,297,1,255,1,1,40,1,1,1,495,
1,783,1,891,1,794,794,1,174,70,68,274,337,1,1,70,13,337,
8,350,70,19,8,65,19,65,13,1,350,246,1,1,1,542,1,542,1,
221,542,1,569,1,1,1,324,1,1,1,200,297,328,19,648,102,200,
288,235,328,150,313,1,603,1,1,1,1,1052,1,1,1,673,916,1,
865,1,1,292,1,1,1,59,89,245,10,507,31,292,59,134,102,102,
134,1,102,1,1,1,1,1,1,1,1,401,759,1,216,1,134,174,1,1,
186,194,194,13,584,186,245,32,297,146,297,22,1,779,1,1,1,
1,1,1,1,1,445,752,1,926,1,200,1,1,1,128,116,116,1,546,
128,144,1,328,1,297,1,1,392,1,1,1,736,1042,797,1,1050,
1062,987,1,1,1,1,245,128,189,19,727,292,324,189,324,150,
328,146,1,587,1,1,1,1,1,1052,1,1,742,812,939,757,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,107,1,75,1,70,200,59,1,245,1,186,1,579,266,826,1,
1,646,1,646,1,1,1,1,826,1,194,75,1,172,1,57,297,1,297,
593,1,1,1,495,1,1,991,783,794,1,794,1,397,991,1,116,1,1,
203,189,1,328,1,241,1,1059,549,1,1,1,916,1061,757,1,1,1,
1,1,1,1,70,65,57,274,337,274,68,1,1,246,542,1,1,569,542,
569,1,1,1,221,1,1,1,1,1,1,962,1,1,1,1,1,1,1,1,1,1,
960,1,1,1,1,1,1,134,59,1,292,1,186,1,754,192,1,1,1,759,
1,216,1,1,1,1,982,1,1,328,1,328,1,1,1,1,736,1,1,1,797,
1037,1,1,1,746,1058,1,288,1,288,1,1,1,1,645,1,1,1,645,1,
1,1,1,352,1,1,200,65,134,1,1,392,1,1,1,736,1,797,1,1,
1066,1,1037,1,200,174,1,1,1044,757,1,1,1,916,1,1,1,1054,
673,1,1,134,1,1,602,1,1,1,797,1,736,1,1,1051,1,1,1,1,
966,1,926,1,1,1,752,1,1,1,1,445,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,570,1,1,1,954,1,1,1,1,1,821,1,1,1,1,1,1,
899,1,1,1,1,595,886,1,1,1,1,1,1,1,252,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,252,1,1,
1,1,1,1,647,406,1,1,794,406,1,1,1,1,1,1,1,1,647,1,1,1,
1,1,1,794,1,1,7,7,38,38,54,38,54,136,379,1,38,54,136,1,
239,1,538,1,1,1,38,54,1,136,1,239,1,54,1,1,379,1,1,532,
1,1,296,296,1,1,1,296,1,1,1,1,296,7,54,54,131,54,131,75,
347,258,54,131,75,227,202,1,1,319,404,1,54,131,1,75,1,202,
1,35,1,227,347,258,1,1,1,296,500,500,296,1,1,500,1,1,1,
1,500,131,131,143,131,143,59,1,251,131,143,59,1,131,271,
319,258,1,1,131,143,1,59,1,131,1,35,1,1,1,251,1,1,404,
707,1,1,707,626,626,1,1,626,1,626,1,38,38,31,40,40,268,1,
11,31,102,191,102,213,223,1,253,1,31,31,1,20,1,123,1,123,
1,26,1,1,1,465,1,1,586,741,1,193,356,1,1,393,1,382,1,38,
38,38,20,1,1,31,40,40,26,38,380,1,223,313,1,11,31,1,102,
1,102,1,93,1,179,1,268,1,1,465,1,741,1,741,356,382,1,1,
193,1,1,654,40,31,40,1,447,31,107,31,221,107,145,160,160,
526,1,31,31,1,157,1,45,1,157,1,269,447,1,1,1,1,1,864,1,
1,38,1,1,1,870,1,707,707,38,40,1,268,38,38,20,179,38,213,
213,63,1,1,31,40,1,40,1,38,1,11,1,1,260,191,1,1,321,741,
1,1,586,382,1,654,1,356,1,1,537,40,447,1,40,31,40,269,26,
1,530,305,1,1,31,107,1,31,1,107,1,93,1,370,370,128,1,1,
565,1,1,1,864,1,707,707,1,38,1,1,883,514,514,102,31,31,1,
102,224,26,224,1,1,20,157,1,31,1,20,1,157,1,246,120,246,
1,558,1,696,1,696,1,535,1,872,1,515,1,559,1,1,260,370,
120,370,324,332,233,607,1,1,128,354,1,1,1,198,1,295,1,1,
725,1,1,1,1,1033,1,1,1035,743,1045,1040,1,780,1,1,1024,
191,128,246,246,358,1,1,1,793,1,128,333,1,120,1,1,1,1,1,
471,359,725,1,1021,1,1,1035,1033,1,852,961,1,1,732,1,1,
1063,38,40,1,102,1,283,158,1,1,38,38,1,20,1,38,1,93,1,1,
128,128,1,509,377,586,1,654,537,1,1,537,1,382,1,393,586,
40,370,107,517,1,283,1,1,40,31,1,40,1,26,1,93,1,1,354,
333,1,1,102,864,1,707,216,707,1,883,1,1,1,1,216,246,102,
1,437,437,381,1,102,31,1,31,1,102,1,40,1,38,1,120,1,502,
484,1,696,872,747,1,559,1,1,535,1,467,784,1,1,563,1,1,1,
1,1,1,38,1,54,1,481,1,1,95,1,1,682,927,995,1,820,1,1,1,
996,1,1,1,577,1,376,279,1,1,1,123,45,1,20,1,146,1,123,1,
54,198,1,1,269,1,1,1,450,735,735,630,965,1,674,1,102,1,
213,224,1,1,284,1,1,172,1,247,1,194,1,302,690,186,1,1,
969,1007,1,1030,1000,1,1,1020,1,722,1,1,989,160,935,1,158,
107,1,1,1,255,1,157,1,485,1,607,1,1,744,1,1,1,999,963,
1005,1,1,1,1,1,929,641,1,283,107,1,26,1,351,1,1,1,49,1,
233,1,744,1,1,973,999,1,869,839,1,1,925,1,637,1,1,313,1,
1,381,1,40,1,263,1,1,561,1,1,1,1,843,1,1,1,1,1,886,1,
569,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,38,1,40,1,102,1,123,1,351,191,260,1,377,
509,537,654,537,654,1,393,586,1,1,1,193,741,1,40,1,107,1,
157,1,1,333,354,1,687,687,216,707,883,883,1,1,216,1,707,1,
870,864,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,102,1,157,1,481,477,477,1,1,572,747,872,1,784,559,
467,784,1,1,1,1,747,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,123,1,270,1,451,1,571,1,735,450,965,1,630,
102,1,1,735,1,874,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,269,546,1,1,413,1,986,655,738,1,684,394,1,1,1,
1,394,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,370,246,
1,1,920,851,1,1,995,1,1,820,1,880,1,1,996,1,1,1,1021,1,
998,1,1033,780,743,1,1,964,1,1045,1040,1,1,1,1040,1001,
1035,1,732,852,1033,1,1056,1,961,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,954,728,1,1,1,1,1,1,1,1,1,954,1,821,
1,1,1,1,1,821,1,1,1,1,1,252,1,1,735,1,1,1,1,1,1,614,
406,1,707,1,1,1,1,707,1,1,1,1,1,614,406,735,1,1,1,1,1,
252,1,1,1,1,1,1,45,252,707,1,45,1,1,1,1,252,1,1,1,1,1,
1,1,1,1,1,1,1,707,7,54,54,131,54,131,75,1,317,54,131,75,
1,202,227,1,327,1,1,54,131,347,75,1,202,1,35,1,1,1,317,
1,1,404,421,1,1,421,1,1,1,500,1,500,1,1,136,136,53,136,
53,213,1,1,136,53,213,1,106,1,1,379,215,185,136,53,379,
213,215,106,1,17,1,1,1,1,185,215,215,157,134,134,157,134,
134,134,157,134,157,134,134,40,40,31,102,102,307,1,31,20,
125,1,125,348,228,1,485,1,31,20,347,20,545,146,1,146,1,1,
318,318,483,287,1,1,622,553,1,383,1,1,383,1,1,383,1,40,
40,40,26,318,318,31,102,102,1,26,347,1,1,545,1,31,20,348,
125,485,125,1,17,1,1,1,349,1,1,374,1,553,1,551,1,383,1,
1,383,383,1,498,102,11,102,1,237,20,83,70,1,83,128,213,
213,365,402,20,11,128,81,365,16,1,81,1,1,177,1,81,140,140,
151,356,81,81,20,233,356,233,233,20,102,102,40,102,1,349,
40,40,26,1,26,457,457,145,1,485,31,102,128,102,384,26,1,
36,1,1,298,383,374,1,1,551,1,1,551,383,1,498,383,1,1,1,
460,102,177,1,102,11,102,1,16,1,148,213,102,102,20,83,346,
70,81,83,1,24,1,1,1,99,402,176,402,81,81,356,151,233,102,
102,20,20,233,233,356,477,338,125,70,69,1,125,285,146,285,
1,543,20,81,246,116,477,81,1,81,1,1,81,1,1,1,1,611,1,
631,1,439,1,1,439,524,524,433,1,318,298,1,81,1,1,1,320,
660,1,834,38,191,95,1,692,34,1,308,1,1,1,1,615,1,823,616,
1,1,902,471,1043,761,599,1,471,1,1,383,99,1,1,335,1,497,
1,972,1,145,455,332,304,1,1,1,532,1,1,302,617,1,1,1,1,
959,734,1,665,849,1,765,1,802,733,1057,40,102,1,125,1,340,
383,1,483,40,40,1,26,1,26,1,17,1,1,38,145,1,287,483,551,
1,498,551,1,1,460,1,383,1,1,622,102,1,83,186,1,455,365,
402,102,11,191,102,365,16,1,24,1,1,191,455,140,140,81,151,
356,102,24,102,233,356,233,233,34,34,70,1,125,436,1,343,
491,1,125,70,1,69,1,125,1,22,1,1,1,304,1,1,1,1,631,1,1,
1,433,1,524,439,1,478,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,235,534,1,489,
499,146,16,297,81,489,20,1,146,1,1,34,1,131,22,131,208,
493,81,146,146,330,493,330,330,112,26,112,457,285,1,1,1,1,
1,235,1,458,1,144,1,1,508,186,1,923,901,1,1,663,726,1,1,
896,1,628,1,876,695,213,1,1,322,63,254,254,893,234,1,294,
1,1,1,1,1,1,751,1010,833,1,1,1,551,1,552,715,756,1,818,
1,1,349,99,430,304,900,324,1,430,1,1,504,1,1,705,1,1,855,
1,1,1,802,1027,733,716,849,765,1,102,1,134,1,384,134,95,1,
468,1,1,705,918,1,1,1,1,1,1,1,1,1,390,1,363,1,1,1,1,
81,928,473,235,235,1,468,1,1,1,785,1,1,1,1,1,1,1,1,420,
1,352,363,1,1,1,40,1,102,1,125,1,146,1,1,316,1,1,318,
485,551,498,460,551,1,1,622,1,1,1,383,553,1,102,134,83,1,
81,1,1,426,213,402,176,402,24,102,356,151,233,34,70,34,102,
233,233,356,254,1,1,1,430,1,1,1,690,1,1,1,1,610,748,938,
1,1,1,1,1,1,666,831,1,125,1,81,1,1,509,343,384,1,473,1,
1,1,1,433,478,1,1,1,478,1,568,235,1,1,1,1,1,1,1,1,1,1,
363,1,1,1,1,1,1,1,1,1,1,1,146,1,1,1,324,499,162,499,
146,81,493,208,330,26,112,112,146,330,330,493,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,387,1,1,422,1,1,525,
1,1,477,477,1,1,1,477,477,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,318,
1,1,1,1,612,1,616,1,471,1,790,729,599,1043,761,1,815,1,
734,755,959,1,1,665,734,1,1048,765,849,1,140,131,1,1,1,1,
1,1,1,1,1,1,363,1,140,1,1,1,410,1,1,1,1,1,268,1,376,1,
1,459,1,375,1,1,1,1,420,352,1,81,1,1,1,52,57,52,146,1,
1,1,1,1,1,75,70,70,102,1,1,1,81,102,1,1,1,1,70,75,70,
146,1,1,1,1,52,52,57,1,1,1,1,70,31,45,102,34,31,1,1,1,
112,45,1,1,1,70,1,1,1,1,1,1,34,112,102,131,131,143,131,
143,59,1,1,131,143,59,1,131,319,271,1,1,1,131,143,258,59,
404,131,251,35,251,1,1,1,1,1,1,1,626,626,1,1,1,626,707,
1,707,1,626,107,107,31,75,75,245,1,13,89,70,1,70,1,186,1,
579,1,31,89,245,10,266,59,186,59,26,102,200,200,1,1,1,1,
826,646,1,1,1,1,646,1,826,1,1,107,107,107,10,200,200,31,
75,75,102,31,292,1,292,443,1,13,89,546,70,366,70,26,36,1,
292,1,292,1,1,443,1,646,1,412,1,1,1,826,1,830,1,623,75,
69,75,1,297,89,172,13,297,172,128,194,194,1,1,89,34,128,
57,1,89,593,57,255,1,297,1,1,1,1,397,991,794,794,1,1,783,
991,1,495,1,1,107,75,1,292,107,107,10,292,31,134,134,102,
1,1,31,75,102,75,366,31,1,13,186,1,245,546,1,1,579,412,1,
1,543,1,1,623,830,1,623,1,830,75,297,1,75,69,75,1,34,1,
255,573,1,1,89,172,297,13,40,172,255,76,81,200,200,134,1,
1,1,794,794,783,891,1,1,1,495,1,1,1,1,337,274,70,13,8,
274,70,116,13,116,1,1,10,57,19,8,246,10,68,57,13,65,19,
65,1,1,1,221,1,569,1,1,1,542,569,1,542,1,1,200,245,200,
19,200,292,328,146,328,1,1,102,1,150,174,1044,102,174,1,
241,1,328,1,1,1,962,673,1,1,1,1,1,916,1,1,757,1,1054,
546,134,65,65,1,1,297,1,1,1,102,297,324,19,392,134,134,
288,95,328,235,328,1,1,1,1,1037,797,1,1,1,1,736,1,1,1,
1066,107,75,1,70,1,186,435,1,1,107,107,245,10,266,31,186,
36,134,134,102,102,1,1,598,543,1,623,547,1,1,830,623,1,1,
1,826,75,200,172,297,1,281,523,1,75,69,1,75,1,34,81,76,1,
297,1,297,1,1,269,891,783,1,66,1,1,1,1,1,1,1,495,65,70,
274,68,337,350,1,70,13,337,8,246,70,13,8,174,19,174,19,1,
1,350,1,569,542,221,1,1,1,542,1,1,1,542,1,1,297,1,1,1,
134,297,328,19,602,102,134,288,235,328,150,328,1,1,1,1,1,
736,1,1,1,1,797,1,1,1,1051,546,186,1,754,1,59,89,292,10,
192,31,186,59,134,102,102,134,1,1,1,1,982,216,1,1,1,1,
759,1,1,1,1,134,116,1,1,292,200,200,19,392,292,297,144,
245,203,324,128,1,1,1,987,1,797,1050,1,1,1042,736,1,1,1,
1062,194,779,1,1,81,174,174,1,1,22,32,1,245,1,245,1,1,
584,1,926,1,445,1,1,1,1,1,1,1,752,1059,1,292,134,189,19,
549,245,241,189,313,128,328,203,1,1,1,1,1,757,1,1,1,1061,
916,1,1,1,1,1,423,570,587,310,570,102,966,1,779,1,603,1,
1,1,1,821,1,1,1,1,1,1,954,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,107,1,75,1,70,
134,59,1,292,546,292,1,1,423,547,623,830,470,1,1,826,1,1,
1,1,646,200,75,570,172,1,57,255,1,297,573,1,1,1,66,1,1,
699,1,1,495,1,1,783,1,991,174,1,1,146,189,1,324,1,324,1,
1,727,939,757,1,742,1,1,1052,1,1,1,1,812,1,70,174,57,68,
274,337,274,1,1,310,221,542,1,395,1,1,542,1,1,542,1,569,
1,1,1,1,711,1,1,1,1,1,595,886,1,1,1,1,899,1,1,1,1,1,
134,59,1,292,1,292,1,1,507,1,216,1,401,1,1,1,1,1,1,1,
759,1,126,1,313,1,1,1,1,445,1,1,1,1,1,752,1,1,926,1,1,
120,1,288,1,1,1,1,352,1,1,1,1,1,645,1,1,645,1,1,134,
174,134,1,1,584,1047,926,1,445,1,1,1,1,1,1,1,752,200,65,
1,1,1,618,1,1,1,1,1,736,1042,1,797,1,1,200,1,1,648,1,
865,1,673,1,1,1,1052,1,1,1,916,1,1,1,746,1058,1037,1,1,
1,797,1,1,736,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,960,1,1,1,1,1,1,1,1,1,794,1,
1,1,1,647,252,1,1,1,1,1,1,1,1,406,1,1,1,1,1,794,1,1,
1,1,1,1,1,406,1,1,1,1,1,252,1,647,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,200,200,116,
186,186,1,1,22,81,102,1,102,376,1,1,491,1,116,81,308,20,
473,81,373,81,198,1,1,1,1,477,1,1,1,590,1,1,701,1,576,
590,469,1,1,200,200,200,20,1,1,116,186,186,1,70,379,1,383,
1,1,22,81,330,102,384,102,198,104,358,1,1,390,1,1,1,1,
590,1,551,701,1,1,469,1,498,1,1,186,20,186,1,287,81,147,
26,1,147,110,364,364,483,148,81,20,34,146,502,16,276,146,1,
1,1,1,22,235,235,318,494,205,205,95,494,494,318,494,22,131,
131,200,186,1,390,200,200,20,1,70,360,360,54,1,419,116,186,
54,186,543,70,358,32,390,1,1,358,419,1,543,551,1,1,498,1,
1,1,498,701,551,1,701,186,1,1,186,20,186,1,16,1,310,212,
218,218,81,147,395,26,95,147,1,32,139,1,1,139,148,483,502,
205,205,494,318,494,131,131,22,95,318,494,494,1,514,102,26,
31,1,102,220,172,220,1,287,20,146,38,31,483,20,477,146,120,
1,1,1,318,1,1,1,1,511,1,482,1,669,434,717,1,669,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,358,139,1,1,191,1,690,1,1,1,198,
1,1,120,670,1,1,475,150,1,1,652,1,936,1,1,948,621,1,1,1,
1,659,693,671,970,1031,200,186,1,102,1,379,330,1,1,200,200,
383,20,1,70,390,104,1,1,1,198,1,1,384,498,1,1,469,1,1,
701,551,1,1,590,1,186,1,147,310,1,395,483,148,186,20,212,
186,502,16,139,32,1,1,1,1,218,218,95,318,494,131,22,131,
494,494,318,494,205,205,95,1,102,1,1,1,545,1,102,26,1,31,
1,102,120,36,1,1,1,120,1,545,1,1,511,669,1,1,669,1,1,
482,1,511,482,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,213,455,1,365,176,81,16,
177,20,402,11,186,81,1,1,1,1,140,81,140,253,419,81,140,
140,419,419,253,419,140,81,140,360,220,1,770,1,364,364,172,
1,455,332,1,690,1,1,186,1,900,913,1,1,629,677,1,1,1003,1,
1,1,809,817,364,900,1,376,110,220,220,913,213,186,1,1,1,1,
332,770,1,1,1,809,1,1,1003,629,1,677,817,1,1,1,798,1,308,
34,163,38,1,177,471,163,1,1,1,280,1,578,1,1,542,1,1,1,
805,956,582,611,860,723,1,218,477,235,578,1,235,81,931,468,
936,1,1,789,1,1,1,422,1,1,1,1,1,1,1,462,1,1,1,1,22,1,
318,140,140,578,422,1,1,1,923,1,1,1,1,357,1,1,1,432,1,1,
357,1,1,1,200,1,186,1,102,1,81,1,1,1,373,1,491,473,469,
1,701,576,1,590,1,1,1,1,1,590,364,186,235,147,1,146,287,
1,1,276,148,483,502,22,131,494,318,494,205,95,205,131,318,
494,494,220,1,1,280,163,1,1,1,471,1,798,1,860,723,805,582,
956,1,1,1,1,1,542,611,1,102,1,146,514,1,1,477,287,1,483,
1,669,1,434,669,511,482,1,1,1,1,717,140,1,1,1,1,1,1,1,
1,1,315,1,1,1,1,391,1,1,1,1,1,1,1,81,191,1,1,186,176,
365,402,140,81,419,253,419,81,140,140,140,253,419,419,1,652,
1,1,1,923,789,1,659,1,1,1,621,948,693,1,1,1,795,1,475,1,
1,1,422,468,1,551,1,583,1,583,583,583,1,1,551,1,1,1,1,1,
1,1,670,671,970,1,659,1,621,1,1,1031,1,948,693,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,578,931,1,1,795,948,1,693,1,621,1,1,659,1,1,218,
140,1,1,432,1,1,1,1,1,1,1,357,357,235,1,1,1,1,1,1,1,1,
1,422,1,462,1,1,391,1,1,1,1,1,1,315,1,1,205,1,1,1,89,
146,45,140,1,1,1,1,1,1,214,86,89,131,1,1,1,205,131,1,1,
1,1,89,214,86,140,1,1,1,1,45,89,146,1,1,1,1,146,86,41,
131,205,86,1,1,1,140,41,1,1,1,146,1,1,1,1,1,1,205,140,
131,3,7,7,7,1,1,5,7,7,10,7,10,1,1,19,1,5,5,10,7,19,7,
10,7,10,10,1,1,10,1,1,1,26,1,1,16,26,1,26,26,16,1,1,7,
7,7,1,1,5,7,7,10,7,10,1,1,19,1,5,5,10,7,19,7,10,7,10,
10,1,1,10,1,1,1,26,1,1,16,26,1,26,26,16,1,1,7,7,1,1,
5,5,5,9,5,16,16,1,1,1,4,5,7,5,11,5,9,5,7,1,16,16,11,
1,1,1,1,1,1,11,1,1,11,11,11,1,1,3,14,1,7,5,7,14,7,1,
10,1,1,1,5,7,10,5,10,7,14,7,5,7,7,7,19,19,1,1,1,26,1,
26,1,1,16,16,26,26,1,14,1,7,5,7,14,7,1,10,1,1,1,5,7,
10,5,10,7,14,7,5,7,7,7,19,19,1,1,1,26,1,26,1,1,16,16,
26,26,1,1,9,16,10,16,10,29,9,1,1,1,7,9,13,16,36,10,16,
10,20,1,1,1,20,1,1,1,1,1,1,31,149,1,52,31,31,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,5,7,1,7,1,9,1,1,1,5,5,9,4,11,5,
9,5,5,5,5,5,1,11,1,1,1,11,1,1,1,1,11,11,1,11,1,7,16,
7,9,1,1,10,1,5,4,9,5,10,5,7,5,1,7,16,16,16,16,1,1,11,
16,1,16,11,1,11,11,16,16,1,1,3,14,14,1,19,1,7,5,14,5,
19,7,10,7,7,5,7,7,1,10,1,1,29,16,1,1,29,1,29,29,1,16,
1,1,1,29,1,1,1,16,9,29,7,36,10,16,10,16,9,10,10,1,20,
1,1,149,31,1,1,1,1,31,52,1,31,1,14,14,1,19,1,7,5,14,5,
19,7,10,7,7,5,7,7,1,10,1,1,29,16,1,1,29,1,29,29,1,16,
1,16,1,1,1,9,16,16,7,20,10,29,10,9,16,10,10,1,36,1,1,
1,31,1,1,1,1,31,31,149,52,1,1,32,1,9,7,16,16,32,10,13,
10,1,20,1,1,29,1,1,1,38,1,1,39,70,1,70,38,39,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,11,16,20,11,16,10,29,10,16,1,43,43,1,1,1,1,1,1,
1,1,1,1,31,31,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,5,1,5,1,7,16,7,1,7,16,16,1,
11,1,1,11,11,1,1,11,1,1,1,1,11,1,16,5,16,7,1,7,7,1,
16,16,10,10,1,1,16,11,1,11,16,1,16,16,11,11,1,16,1,1,9,
1,1,20,1,1,1,36,1,1,31,52,1,149,31,1,1,1,1,31,1,1,7,
16,7,6,6,10,10,11,1,1,1,11,1,1,11,11,1,1,1,11,1,1,1,
1,1,1,26,1,1,1,1,1,1,31,1,1,1,31,1,1,1,1,1,1,1,3,10,
10,1,1,19,19,1,1,16,29,1,29,16,1,1,1,29,29,1,1,20,1,1,
1,32,32,1,1,39,70,1,70,39,1,1,1,38,38,1,10,10,1,1,19,
19,1,1,16,29,1,29,16,1,1,1,29,29,1,5,7,7,1,26,1,1,16,
26,1,1,11,1,1,26,1,26,1,7,7,16,1,1,1,1,26,1,16,1,1,
26,26,11,1,1,3,43,1,1,1,59,1,1,38,38,1,1,278,59,278,1,
43,1,1,1,59,1,1,38,38,1,1,278,59,278,1,16,1,1,1,31,1,
1,1,1,1,1,1,31,1,1,1,1,1,1,31,1,1,1,1,31,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,38,1,
11,16,1,1,1,1,16,1,1,1,1,11,38,1,1,1,1,1,1,1,1,1,1,
1,1,1,38,11,1,1,16,11,1,1,1,1,1,1,1,1,38,1,1,1,1,1,
1,16,1,1,7,7,7,1,1,5,7,7,10,7,10,1,1,19,1,5,5,10,7,
19,7,10,7,10,10,1,1,10,1,1,1,26,1,1,16,26,1,26,26,16,
1,1,3,7,1,1,7,7,7,10,5,1,1,10,1,1,5,7,10,7,10,7,10,
5,10,1,1,10,19,1,19,1,1,1,26,26,1,1,16,16,26,1,26,7,1,
1,7,7,7,10,5,1,1,10,1,1,5,7,10,7,10,7,10,5,10,1,1,10,
19,1,19,1,1,1,26,26,1,1,16,16,26,1,26,10,10,5,5,5,6,5,
16,1,16,1,1,4,5,7,5,11,5,6,5,7,16,1,16,11,1,1,1,1,1,
1,11,1,1,11,11,11,1,1,3,16,7,7,7,16,1,1,1,1,1,5,16,
10,7,43,7,7,16,10,1,1,1,43,1,1,1,1,1,1,38,278,1,59,38,
59,1,278,16,7,7,7,16,1,1,1,1,1,5,16,10,7,43,7,7,16,10,
1,1,1,43,1,1,1,1,1,1,38,278,1,59,38,59,1,278,7,7,1,5,
1,1,9,1,1,5,5,9,5,11,5,7,4,16,16,1,7,1,1,11,1,1,1,
11,1,1,1,11,11,1,1,11,3,7,7,14,1,14,19,1,7,5,14,7,19,
7,5,5,1,10,1,10,1,1,10,1,26,1,16,1,26,1,26,26,1,1,16,
7,7,14,1,14,19,1,7,5,14,7,19,7,5,5,1,10,1,10,1,1,10,
1,26,1,16,1,26,1,26,26,1,1,16,1,1,1,1,1,1,5,7,9,5,16,
5,5,7,16,20,1,20,1,1,26,1,26,1,26,1,1,1,11,16,1,1,26,
9,1,1,10,1,5,4,9,5,10,5,7,5,16,7,1,16,16,1,16,1,10,1,
16,16,10,1,10,10,16,1,16,1,16,1,1,9,16,16,10,20,10,20,
7,29,9,1,13,1,1,36,1,1,1,31,1,1,1,31,31,149,1,52,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,32,1,9,7,16,10,32,10,20,16,29,13,1,9,29,1,1,1,
70,1,1,39,38,1,38,70,39,1,1,1,11,16,20,10,16,10,26,11,
36,1,1,36,1,1,1,1,1,1,1,1,1,1,31,31,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,1,7,
1,7,5,5,1,9,1,9,1,1,11,1,11,1,11,1,11,1,1,1,1,1,11,
16,7,16,7,1,5,9,1,1,9,10,1,10,1,16,1,11,11,16,1,16,16,
11,1,11,1,1,1,16,16,1,29,1,29,1,1,36,1,31,1,52,149,31,
1,1,1,1,1,31,1,3,7,7,14,14,1,14,19,1,19,1,16,1,29,29,
16,1,1,1,29,1,29,1,1,1,1,29,1,1,1,1,1,1,31,1,1,1,31,
1,1,1,1,1,1,7,7,14,14,1,14,19,1,19,1,16,1,29,29,16,1,
1,1,29,1,29,1,9,1,1,1,16,1,1,1,26,1,1,11,26,1,1,1,16,
1,26,9,9,1,1,11,1,1,1,11,1,1,11,11,1,1,1,11,1,1,16,1,
16,1,1,20,1,52,1,31,1,31,1,1,149,1,1,31,1,16,32,1,32,
1,1,1,38,38,1,1,39,39,70,1,70,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,20,1,1,1,52,1,1,31,31,1,1,149,31,1,1,1,16,
1,1,1,31,1,1,1,1,1,1,1,31,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,31,1,1,1,1,31,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,38,1,11,16,1,1,1,1,1,1,1,1,1,1,1,1,16,1,1,1,1,
11,1,38,1,1,1,1,38,1,11,1,16,11,1,1,1,1,1,1,1,1,38,1,
1,1,1,1,1,1,16,1,7,3,1,14,7,7,5,14,7,7,7,7,1,19,5,7,
5,7,19,5,14,7,10,1,10,1,10,1,1,26,1,1,1,16,1,26,26,26,
16,1,1,7,1,1,5,5,5,9,5,1,16,16,10,10,4,5,7,5,6,5,9,
5,7,16,16,1,6,10,10,16,16,16,16,7,16,16,7,7,7,16,16,1,
14,7,7,5,14,7,7,7,7,1,19,5,7,5,7,19,5,14,7,10,1,10,1,
10,1,1,26,1,1,1,16,1,26,26,26,16,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,9,10,16,16,10,1,1,1,80,1,7,9,20,10,24,16,16,
10,13,29,9,1,17,1,1,1,86,1,1,20,86,1,34,34,16,74,74,7,
5,1,7,1,16,16,1,10,5,5,7,5,10,4,9,5,16,16,7,1,1,16,
16,11,1,16,16,1,1,11,11,11,1,16,16,7,1,3,10,1,1,11,11,
7,5,10,7,11,5,10,7,1,10,10,1,7,7,7,43,43,7,7,7,43,43,
43,43,7,7,7,16,7,6,10,10,10,1,5,4,6,5,10,5,7,5,16,7,
16,1,1,16,16,1,11,16,16,1,11,1,11,11,1,16,16,1,1,1,1,
1,23,16,9,20,10,23,7,16,10,9,29,13,1,1,43,43,67,187,43,
43,1,1,38,38,67,1,43,43,10,1,1,11,11,7,5,10,7,11,5,10,
7,1,10,10,1,7,7,7,43,43,7,7,7,43,43,43,43,7,7,7,7,7,
1,17,7,5,5,5,10,7,9,5,20,16,20,1,1,26,26,17,1,16,16,1,
1,17,11,11,10,26,26,3,48,1,16,5,7,7,48,16,10,7,1,10,1,
1,26,1,1,1,81,1,1,26,81,1,81,81,26,1,1,48,1,16,5,7,7,
48,16,10,7,1,10,1,1,26,1,1,1,81,1,1,26,81,1,81,81,26,
1,1,10,10,10,10,19,10,6,80,19,23,1,24,1,1,1,1,36,1,1,
1,1,1,36,36,36,1,1,1,10,6,17,19,10,10,24,19,23,24,1,1,
1,1,1,1,36,1,1,1,36,1,36,36,1,1,1,5,1,7,1,5,16,7,1,
9,9,1,1,16,16,11,11,16,16,1,11,11,1,1,1,16,16,5,7,10,
5,1,7,9,1,9,1,6,10,10,7,16,16,16,7,16,7,16,16,7,16,16,
7,1,1,16,7,1,9,1,1,1,26,26,17,11,26,26,10,11,17,1,1,1,
16,16,1,7,1,3,14,14,14,1,10,1,1,26,26,1,1,16,26,26,1,
1,16,1,1,10,1,1,1,80,80,1,1,1,1,36,36,1,1,1,36,36,1,
1,1,1,1,16,7,9,9,1,1,6,10,10,16,7,10,10,6,7,16,16,16,
6,10,10,1,29,1,29,1,17,1,1,34,86,1,1,20,86,34,1,1,16,
74,74,14,14,14,1,10,1,1,26,26,1,1,16,26,26,1,1,16,1,1,
16,16,1,1,43,43,67,67,43,43,1,38,38,1,187,1,43,43,16,1,
17,1,1,34,1,74,74,16,1,34,86,86,20,1,1,1,17,1,1,1,34,
1,1,20,34,1,86,86,16,74,74,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,7,7,1,1,10,10,1,1,1,1,1,1,10,10,3,1,1,1,1,16,1,
1,1,1,16,1,1,1,1,1,1,16,1,1,1,1,16,1,1,16,1,1,1,13,
48,13,16,1,1,1,1,1,1,48,13,13,16,1,1,1,3,7,1,1,1,1,5,
7,7,7,1,1,1,1,5,7,7,1,1,1,1,5,5,5,16,16,13,1,1,1,16,
13,1,1,1,48,1,1,1,1,1,1,7,7,3,7,1,1,7,7,7,10,5,1,1,
10,1,1,5,7,10,7,10,7,10,5,10,1,1,10,19,1,19,1,1,1,26,
26,1,1,16,16,26,1,26,1,14,7,7,5,14,7,7,7,7,1,19,5,7,
5,7,19,5,14,7,10,1,10,1,10,1,1,26,1,1,1,16,1,26,26,26,
16,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,10,10,16,16,9,1,1,1,
1,1,7,10,20,10,20,16,16,9,13,1,29,29,36,1,1,1,1,1,1,
31,1,1,31,31,52,1,149,3,7,1,7,1,1,10,1,19,7,7,10,7,19,
5,10,5,1,1,10,10,1,1,10,26,1,1,16,1,1,26,26,26,1,1,16,
7,1,7,1,1,10,1,19,7,7,10,7,19,5,10,5,1,1,10,10,1,1,
10,26,1,1,16,1,1,26,26,26,1,1,16,16,5,10,10,6,1,1,5,5,
6,5,11,5,7,4,16,1,16,7,1,1,11,1,1,1,11,1,1,1,11,11,1,
1,11,1,1,1,1,1,32,16,10,20,10,32,7,16,9,29,1,13,29,1,
1,29,38,1,1,39,1,1,70,70,38,1,1,39,16,16,1,1,10,5,5,7,
5,10,4,9,5,16,1,7,16,16,1,16,10,1,1,16,16,1,10,10,10,
16,1,16,3,7,1,1,16,7,7,7,43,16,10,5,1,1,1,10,1,1,43,
278,1,1,38,1,1,1,38,59,278,1,59,7,1,1,16,7,7,7,43,16,
10,5,1,1,1,10,1,1,43,278,1,1,38,1,1,1,38,59,278,1,59,
1,1,7,5,5,5,16,7,9,5,20,1,20,16,26,1,1,1,1,1,1,26,1,
26,16,11,26,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,11,10,26,10,16,16,20,11,36,1,1,36,
1,1,1,1,1,1,1,1,1,1,31,31,1,1,1,7,1,7,1,5,16,5,1,1,
9,9,1,1,11,11,1,1,11,1,1,11,1,1,1,1,11,7,3,1,7,1,7,
14,1,14,14,19,1,19,16,1,1,26,26,1,16,1,1,26,1,26,7,1,
1,16,5,1,1,1,9,1,1,16,26,1,1,16,26,1,26,1,1,1,1,11,1,
7,1,7,14,1,14,14,19,1,19,16,1,1,26,26,1,16,1,1,26,1,
26,16,1,1,1,1,29,1,1,1,1,31,1,1,1,1,1,31,1,1,1,1,1,
16,5,9,1,1,9,10,1,10,16,1,1,10,10,1,16,16,16,10,1,10,
1,29,1,29,1,36,1,1,31,1,1,1,31,1,31,1,1,52,1,149,9,1,
9,1,11,1,1,11,1,1,1,11,1,11,1,1,11,1,1,1,16,16,1,1,
20,52,1,1,31,1,1,31,1,149,1,1,31,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,16,32,1,32,1,1,1,70,70,1,1,39,39,38,1,
38,20,1,1,52,1,1,1,31,1,31,1,149,31,1,1,1,16,1,1,1,31,
1,1,1,1,1,1,1,31,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
31,1,1,1,1,31,1,1,1,1,1,1,1,38,11,16,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,16,1,1,1,1,11,1,38,1,
1,1,1,38,1,11,1,1,1,1,1,1,16,11,1,1,1,38,1,1,1,1,1,
1,1,16,1,14,1,7,5,7,14,7,1,10,1,1,1,5,7,10,5,10,7,14,
7,5,7,7,7,19,19,1,1,1,26,1,26,1,1,16,16,26,26,1,1,10,
16,10,16,9,1,29,29,1,1,7,10,13,16,17,10,16,9,20,1,1,1,
24,1,80,1,1,1,86,34,74,74,16,20,34,1,86,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,7,3,1,7,1,14,14,1,1,7,7,14,5,10,7,10,5,7,
7,7,5,1,19,19,1,1,26,26,1,1,1,16,16,1,26,26,7,16,5,1,
1,9,10,10,5,5,9,5,6,5,7,4,1,16,16,7,10,10,6,16,16,16,
7,16,16,16,7,7,16,16,7,1,7,1,14,14,1,1,7,7,14,5,10,7,
10,5,7,7,7,5,1,19,19,1,1,26,26,1,1,1,16,16,1,26,26,1,
1,29,1,1,1,16,10,29,7,17,10,16,9,16,10,10,9,1,24,80,74,
74,34,86,1,1,1,20,16,1,34,86,1,9,1,10,10,5,5,9,4,6,5,
9,5,5,5,5,5,10,6,10,10,10,7,16,16,10,10,6,6,16,7,16,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,16,1,1,9,10,16,16,17,10,13,7,1,1,1,20,80,1,
24,74,74,1,34,86,1,1,20,16,86,1,34,1,1,9,10,16,7,17,10,
29,16,9,10,10,16,80,24,1,1,1,34,1,86,74,74,16,20,86,34,
1,3,16,7,43,16,7,7,43,16,26,1,1,26,1,1,1,1,1,1,1,1,1,
1,16,16,1,1,1,16,7,43,16,7,7,43,16,26,1,1,26,1,1,1,1,
1,1,1,1,1,1,16,16,1,1,1,7,1,5,1,7,16,5,1,16,16,7,1,
10,10,16,16,11,11,1,16,16,1,1,1,11,11,1,7,7,3,1,7,10,
1,1,10,11,11,11,7,7,43,43,43,7,7,7,7,43,43,43,16,1,1,
29,16,1,1,1,20,1,23,23,43,43,67,67,187,43,43,1,1,1,38,
38,1,7,16,5,6,10,10,6,10,1,10,16,16,1,11,11,16,16,1,1,
11,1,11,7,1,1,1,26,26,1,1,1,1,10,10,1,1,1,10,10,1,1,
1,1,1,1,7,10,1,1,10,11,11,11,7,7,43,43,43,7,7,7,7,43,
43,43,1,20,1,1,1,23,23,1,43,43,38,1,38,43,43,1,1,67,67,
187,7,16,16,1,10,10,1,16,16,11,1,11,16,16,1,1,11,11,1,
7,7,5,1,17,10,26,26,17,11,1,16,16,1,10,1,17,11,3,7,48,
1,48,1,1,1,81,81,1,1,26,26,81,1,81,7,48,1,48,1,1,1,81,
81,1,1,26,26,81,1,81,10,17,1,26,26,17,1,11,16,16,1,10,
11,17,1,10,10,1,1,36,36,1,1,1,1,1,1,36,36,10,1,1,1,36,
36,1,1,1,1,36,1,36,1,1,36,1,36,1,1,1,1,36,36,1,3,1,1,
1,7,7,5,7,1,1,1,1,1,1,7,7,5,7,1,1,1,16,16,1,1,1,1,
13,48,13,16,1,1,1,1,13,13,48,1,1,1,1,48,13,13,3,7,5,1,
1,1,7,5,1,1,1,5,1,1,1,1,1,1,16,16,16,10,14,10,6,10,
14,14,10,14,1,61,6,14,6,10,61,6,10,14,13,1,13,1,19,1,1,
99,1,1,1,32,1,99,99,99,32,1,1,14,6,10,10,14,1,13,1,1,
1,6,14,13,6,19,10,10,14,6,14,10,14,61,61,1,1,1,99,1,99,
1,1,32,32,99,99,1,7,7,1,3,1,10,1,1,19,7,7,10,5,19,5,
14,7,7,7,5,7,1,10,1,29,1,16,1,1,1,29,29,29,1,16,1,5,
10,7,16,1,16,1,10,5,5,7,5,10,4,6,5,1,16,7,16,16,16,1,
11,1,16,1,16,1,11,11,11,16,16,1,10,7,10,6,10,1,1,5,5,
6,4,11,5,6,5,5,5,5,5,1,11,1,1,1,11,1,1,1,1,11,11,1,
11,1,1,1,13,1,1,61,10,14,13,6,61,6,10,14,10,14,6,14,1,
19,1,99,1,32,1,1,1,99,99,99,1,32,1,1,10,1,1,19,7,7,10,
5,19,5,14,7,7,7,5,7,1,10,1,29,1,16,1,1,1,29,29,29,1,
16,1,7,3,1,1,16,7,7,5,43,16,14,7,16,7,16,7,1,43,1,1,
1,38,1,1,1,278,59,38,278,59,1,7,1,1,7,5,5,5,16,7,6,5,
1,16,1,16,26,1,1,26,1,1,1,26,1,1,11,16,26,1,1,1,1,16,
7,7,5,43,16,14,7,16,7,16,7,1,43,1,1,1,38,1,1,1,278,59,
38,278,59,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,11,10,26,11,16,16,19,10,16,43,1,43,1,
1,1,1,1,1,1,1,1,1,31,31,1,1,1,7,1,5,1,5,10,7,1,16,7,
16,1,11,1,11,1,11,1,1,1,11,1,1,1,11,1,7,7,1,7,1,3,10,
1,10,1,19,19,1,16,1,26,1,26,1,16,1,1,26,26,1,5,1,1,10,
7,1,16,1,16,1,16,1,26,1,16,1,26,1,26,1,1,1,11,1,1,5,
10,7,6,10,6,10,11,1,1,11,1,1,1,11,1,11,1,1,11,1,1,16,
1,1,1,1,26,1,1,1,1,31,1,1,1,1,1,31,1,1,1,1,1,10,7,7,
16,1,16,10,10,1,16,1,10,1,10,1,16,16,16,10,10,1,1,13,1,
13,1,61,61,1,32,1,99,1,99,1,32,1,1,99,99,1,10,1,10,1,
19,19,1,16,1,26,1,26,1,16,1,1,26,26,1,7,5,7,1,26,1,16,
1,26,1,1,1,11,1,26,1,26,1,7,3,43,1,1,59,1,278,1,59,1,
38,1,278,38,1,1,7,16,1,1,1,1,1,1,11,1,1,26,26,16,26,1,
43,1,1,59,1,278,1,59,1,38,1,278,38,1,1,16,1,1,1,31,1,
1,1,1,1,1,1,31,1,1,1,1,1,1,31,1,1,1,1,31,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,38,11,16,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,16,1,1,1,1,11,38,1,1,1,1,1,1,1,1,1,1,
1,1,1,38,11,1,1,1,1,1,1,1,16,11,1,1,1,38,1,1,1,1,1,
1,16,1,1,16,7,7,7,16,1,1,1,1,1,5,16,10,7,43,7,7,16,
10,1,1,1,43,1,1,1,1,1,1,38,278,1,59,38,59,1,278,1,10,
1,14,1,9,29,1,32,10,10,13,16,32,7,16,9,1,1,20,1,1,1,
29,70,1,1,39,1,1,38,38,70,1,1,39,7,3,1,1,1,1,1,48,7,
16,10,7,48,5,7,16,1,1,10,1,1,1,26,81,1,1,26,1,1,81,81,
81,1,1,26,7,10,13,10,13,1,1,5,7,6,5,16,5,5,7,16,1,16,
1,1,1,26,1,1,1,26,1,26,1,16,11,1,1,26,1,1,1,1,1,48,7,
16,10,7,48,5,7,16,1,1,10,1,1,1,26,81,1,1,26,1,1,81,81,
81,1,1,26,29,29,1,1,23,10,9,13,16,23,7,16,10,1,1,20,1,
43,1,43,39,1,1,43,43,97,38,38,39,43,1,43,1,14,1,1,20,
10,10,16,63,20,16,9,1,1,1,1,1,1,149,1,1,1,106,1,1,129,
38,70,291,1,170,1,1,1,16,16,7,7,55,16,7,16,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,102,102,1,1,1,1,1,20,9,10,16,76,20,
16,10,1,1,1,1,95,1,1,1,1,1,1,95,229,1,102,62,95,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,16,17,40,43,26,26,43,36,76,1,1,1,1,1,1,1,1,1,1,1,
192,1,70,81,1,1,1,10,1,7,1,5,7,10,1,1,9,1,1,1,26,11,
1,1,26,1,26,16,1,1,1,1,26,10,1,1,10,1,14,29,1,29,1,24,
1,80,20,1,1,86,34,74,16,74,1,34,1,86,7,1,1,7,10,1,1,1,
1,1,1,40,17,1,1,40,26,26,40,1,1,1,1,17,1,7,3,1,14,1,
14,1,43,1,1,38,1,1,1,38,278,59,1,1,59,1,278,26,1,1,1,
1,149,1,1,1,1,81,1,1,1,1,192,70,1,1,1,1,1,7,10,9,1,1,
1,10,1,17,16,1,1,17,10,10,26,26,16,10,1,17,1,14,1,14,1,
43,1,1,38,1,1,1,38,278,59,1,1,59,1,278,29,1,29,1,20,1,
1,31,1,1,1,31,149,52,1,1,31,1,1,1,16,1,1,1,95,122,1,1,
95,1,318,89,1,262,1,1,95,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,63,1,1,1,1,1,1,70,291,1,170,106,38,1,129,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,43,1,1,1,70,1,1,1,1,1,
1,1,70,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,81,1,1,1,
1,81,1,1,1,1,1,1,60,1,26,16,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,43,1,1,1,1,16,1,110,1,1,1,1,38,
1,16,74,74,60,1,1,1,26,26,1,1,1,1,1,1,1,1,1,1,1,43,1,
10,1,1,14,1,29,1,1,1,10,10,29,7,20,16,16,9,10,10,16,9,
1,36,1,1,1,31,1,1,1,1,31,31,1,52,149,7,7,10,1,1,1,17,
1,5,7,9,5,10,5,5,7,1,20,16,20,26,26,1,1,17,16,1,16,17,
1,11,11,26,26,10,3,1,1,14,1,1,1,7,16,14,5,43,7,7,16,7,
16,7,16,1,43,1,1,278,38,1,1,1,1,38,59,1,59,278,1,1,14,
1,1,1,7,16,14,5,43,7,7,16,7,16,7,16,1,43,1,1,278,38,1,
1,1,1,38,59,1,59,278,1,29,1,80,1,10,9,29,7,24,16,16,10,
10,9,16,10,1,17,1,1,100,20,1,1,100,1,36,36,74,16,74,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,9,20,16,16,63,10,10,20,1,1,1,1,149,1,
1,1,129,1,1,106,1,1,70,38,170,1,291,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,26,43,95,
26,43,26,26,29,40,1,179,149,1,1,1,1,1,1,1,1,1,1,81,81,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,10,1,5,1,7,7,10,1,20,16,20,1,16,1,1,26,11,
1,1,26,1,1,1,1,16,26,1,10,43,1,1,14,13,1,9,29,23,23,1,
1,43,38,1,38,43,1,43,43,67,67,187,16,1,1,1,1,1,1,1,1,
1,76,1,1,95,122,1,262,95,1,1,1,1,89,318,1,7,7,10,6,13,
10,13,16,1,1,1,26,1,1,11,26,1,1,1,16,1,26,1,1,1,1,95,
179,1,1,1,1,1,70,1,1,1,70,1,1,1,1,1,1,3,1,10,1,1,1,
48,48,1,1,26,59,1,59,26,1,1,1,65,65,289,1,10,1,1,1,48,
48,1,1,26,59,1,59,26,1,1,1,65,65,289,13,29,29,1,32,32,
1,1,39,70,1,70,39,1,1,1,38,38,1,10,7,10,1,40,1,1,40,
17,1,1,17,1,1,26,1,40,26,1,14,76,1,1,1,1,318,1,89,1,1,
95,95,122,1,262,1,31,1,1,1,113,1,1,34,113,1,113,113,73,
331,331,63,1,1,1,170,1,1,70,106,1,1,291,38,129,1,26,1,1,
1,81,1,1,1,1,1,1,1,70,192,1,1,1,1,1,81,1,1,1,1,70,1,
192,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,110,1,16,43,1,1,1,1,16,1,1,1,1,26,149,60,1,1,1,
1,1,1,1,1,1,1,1,1,149,26,60,1,43,16,1,1,1,1,1,1,1,1,
38,1,1,1,1,1,1,26,74,74,7,1,7,1,1,10,1,19,7,7,10,7,
19,5,10,5,1,1,10,10,1,1,10,26,1,1,16,1,1,26,26,26,1,1,
16,1,7,1,14,14,1,1,7,7,14,5,10,7,10,5,7,7,7,5,1,19,
19,1,1,26,26,1,1,1,16,16,1,26,26,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,10,
1,1,19,7,7,10,5,19,5,14,7,7,7,5,7,1,10,1,29,1,16,1,1,
1,29,29,29,1,16,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,16,1,1,10,10,16,16,36,9,
13,7,1,1,1,20,1,1,20,149,1,1,31,1,1,1,31,52,1,1,31,1,
1,10,10,16,7,36,9,29,16,10,10,9,16,1,20,1,1,1,31,1,1,
1,149,52,31,1,31,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,10,10,29,11,16,16,20,11,43,43,
1,16,1,1,1,1,1,1,1,1,1,1,31,31,1,1,1,3,1,7,1,7,1,7,
1,1,10,10,1,19,19,16,1,26,26,1,1,16,1,1,1,26,26,1,7,1,
7,1,7,1,1,10,10,1,19,19,16,1,26,26,1,1,16,1,1,1,26,26,
16,1,1,9,16,1,1,1,20,1,32,32,39,1,38,38,1,1,39,1,1,1,
70,70,1,5,16,5,10,10,6,6,1,1,11,11,1,1,11,1,1,11,1,1,
1,1,11,16,1,1,1,1,26,1,1,1,1,31,1,1,1,1,1,31,1,1,1,
1,1,16,5,16,16,1,7,1,10,10,16,1,10,10,1,1,16,16,16,1,
10,10,1,1,1,20,1,1,36,1,31,1,31,1,1,1,31,1,1,1,52,149,
16,16,7,1,1,11,1,11,1,11,1,1,1,11,1,1,1,11,1,3,7,7,1,
1,43,59,1,278,59,1,1,38,1,278,1,1,38,7,7,1,1,43,59,1,
278,59,1,1,38,1,278,1,1,38,5,1,1,16,1,1,1,11,1,1,1,26,
26,1,26,16,1,26,1,16,1,26,1,1,1,11,1,26,1,26,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,16,1,1,1,31,1,1,1,1,1,1,1,31,
1,1,31,1,1,1,1,1,1,1,31,1,1,1,1,1,1,38,11,16,1,1,1,
1,1,1,1,1,1,1,1,1,1,16,1,1,1,1,1,1,38,11,1,1,1,1,1,
1,11,38,1,1,1,1,1,1,1,1,1,1,1,1,1,16,11,1,1,1,38,1,
1,1,1,1,1,1,1,16,7,7,14,1,14,19,1,7,5,14,7,19,7,5,5,
1,10,1,10,1,1,10,1,26,1,16,1,26,1,26,26,1,1,16,1,1,1,
1,1,48,7,16,10,7,48,5,7,16,1,1,10,1,1,1,26,81,1,1,26,
1,1,81,81,81,1,1,26,10,1,1,11,11,7,5,10,7,11,5,10,7,1,
10,10,1,7,7,7,43,43,7,7,7,43,43,43,43,7,7,7,1,16,1,80,
10,16,16,10,24,9,20,7,1,29,29,13,1,1,17,86,1,1,20,1,1,
86,34,34,74,74,16,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,23,1,10,7,16,10,23,9,20,16,
1,13,29,29,43,43,1,1,38,43,1,43,67,187,67,38,43,43,1,10,
19,10,24,19,10,6,17,10,1,1,24,23,1,1,1,36,1,1,1,1,1,
36,36,36,1,1,1,19,6,80,19,10,10,10,10,1,24,1,23,1,1,1,
1,36,1,1,1,36,1,36,36,1,1,1,7,1,3,1,7,7,7,1,14,14,14,
1,1,10,26,26,1,16,1,26,26,1,1,1,1,16,16,7,10,5,1,5,1,
1,9,9,10,10,6,7,16,16,7,16,16,7,16,16,16,16,7,1,1,1,
16,16,1,29,1,29,1,1,17,86,34,74,16,74,34,86,1,1,1,1,20,
1,7,7,7,1,14,14,14,1,1,10,26,26,1,16,1,26,26,1,1,1,1,
16,10,1,1,1,80,80,1,1,1,1,36,36,1,1,1,36,36,1,1,1,1,
1,5,5,1,9,1,9,10,10,6,16,7,10,6,10,7,16,16,16,10,10,6,
1,1,1,9,1,26,26,1,11,17,16,1,16,17,11,1,1,26,26,10,1,
9,9,1,16,16,1,11,11,16,1,16,11,11,1,1,16,16,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,16,16,1,1,17,34,1,74,16,
74,1,34,86,86,1,1,20,16,1,1,17,1,34,1,20,1,34,1,86,86,
74,74,16,43,43,1,67,67,43,1,43,38,38,1,187,43,43,1,3,7,
1,1,1,16,1,1,1,1,1,1,1,16,7,1,1,1,16,1,1,1,1,1,1,1,
16,1,1,10,1,10,1,1,1,1,10,10,1,16,1,1,1,13,48,13,16,1,
1,1,1,1,1,48,13,13,16,1,1,1,7,3,1,1,1,1,7,7,5,7,1,1,
1,1,5,5,5,1,1,1,1,7,7,5,16,16,13,1,1,1,16,13,1,1,1,
48,1,1,1,1,1,1,3,7,7,1,1,14,1,1,1,7,16,14,5,43,7,7,
16,7,16,7,16,1,43,1,1,278,38,1,1,1,1,38,59,1,59,278,14,
14,1,19,1,7,5,14,5,19,7,10,7,7,5,7,7,1,10,1,1,29,16,
1,1,29,1,29,29,1,16,1,10,10,1,1,14,10,10,6,19,14,13,6,
14,10,14,6,1,61,61,1,1,99,99,1,1,1,32,32,1,99,99,10,61,
1,14,6,10,10,61,14,6,6,1,13,1,13,1,1,19,1,99,1,32,1,
99,1,99,99,1,1,32,61,1,14,6,10,6,61,14,13,10,14,6,14,
10,1,19,1,1,99,32,1,1,99,1,99,99,1,32,1,1,10,16,19,11,
16,10,26,11,43,1,43,16,1,1,1,1,1,1,1,1,1,1,31,31,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,7,1,7,1,3,7,7,1,10,1,10,1,19,19,1,16,29,29,1,
16,1,1,1,1,29,29,10,5,16,7,1,5,16,1,16,7,1,10,10,1,16,
11,11,1,16,1,16,16,1,11,11,10,1,1,10,10,1,13,1,13,1,61,
61,1,32,99,99,1,32,1,1,1,1,99,99,1,7,5,5,10,6,10,6,1,
1,11,1,11,1,11,1,11,1,1,1,1,1,11,1,1,1,1,26,1,1,1,1,
1,1,31,1,1,1,31,1,1,1,1,1,1,7,7,1,10,1,10,1,19,19,1,
16,29,29,1,16,1,1,1,1,29,29,1,16,1,16,1,1,16,1,1,26,
11,1,1,26,1,1,1,1,16,26,16,7,16,1,1,11,1,1,11,11,1,1,
11,1,1,1,1,11,1,7,3,7,1,1,43,1,59,1,38,1,38,1,1,278,
1,278,59,7,5,1,1,16,1,1,26,16,1,1,1,26,26,1,1,11,7,1,
1,43,1,59,1,38,1,38,1,1,278,1,278,59,1,26,1,1,16,26,1,
1,11,1,1,26,1,26,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,16,1,
1,1,31,1,1,1,1,1,1,1,31,1,1,31,1,1,1,1,1,1,1,31,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,38,1,11,16,1,1,1,16,1,1,1,
1,1,1,38,11,1,1,1,1,1,1,11,38,1,1,1,1,1,1,1,1,16,11,
1,1,1,1,1,1,1,1,38,1,1,1,1,1,1,1,1,16,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,10,20,16,16,76,9,10,20,1,1,1,1,1,
1,95,229,1,1,95,1,1,1,62,102,1,1,95,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,43,
17,149,16,26,26,43,36,31,63,1,76,1,1,1,1,192,1,1,1,1,1,
81,70,1,1,1,1,1,7,1,7,3,1,1,1,10,1,1,43,1,59,278,38,
1,1,1,38,1,1,1,59,278,1,10,1,10,1,14,9,1,13,29,1,24,
80,16,74,34,86,1,1,20,1,74,1,34,86,16,1,1,1,1,1,1,1,1,
1,63,1,170,291,38,129,1,1,106,1,1,1,70,1,1,5,7,10,10,
13,6,13,1,1,26,16,26,1,26,1,1,11,1,1,1,1,26,26,1,1,1,
1,40,1,1,1,1,70,192,1,1,1,1,81,1,1,1,1,1,7,10,16,20,
1,20,1,10,17,26,10,10,17,1,1,16,16,26,1,10,17,1,1,1,10,
1,1,43,1,59,278,38,1,1,1,38,1,1,1,59,278,29,29,13,1,1,
20,1,52,149,31,1,1,1,31,1,1,1,31,1,1,7,1,1,179,179,73,
331,113,113,1,1,34,1,331,1,113,113,10,14,1,1,149,38,1,
291,170,1,1,70,1,129,1,1,106,10,1,1,40,1,26,1,17,1,1,1,
17,40,1,26,40,1,95,1,102,229,95,1,1,1,62,1,1,1,95,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,43,1,1,1,70,1,1,1,1,1,1,
1,70,1,1,81,1,1,1,1,1,1,1,81,1,74,1,1,1,1,1,26,26,1,
1,1,1,1,1,1,60,60,74,1,1,1,43,1,1,1,1,1,1,38,16,1,1,
1,1,1,1,16,110,1,1,1,1,1,1,1,1,1,1,1,1,1,16,26,1,1,
1,1,1,1,1,1,1,1,1,1,43,16,1,1,80,10,16,16,7,24,9,29,
10,10,16,9,10,1,17,1,100,1,20,1,1,1,100,36,36,74,16,74,
1,23,1,10,7,16,16,23,9,13,10,1,20,1,1,43,1,43,97,38,1,
43,43,39,1,39,38,43,1,43,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,10,19,10,24,10,10,6,80,
19,48,1,10,48,1,1,1,17,1,1,1,1,1,17,17,17,1,1,1,19,6,
80,10,10,10,24,19,48,10,1,48,1,1,1,1,17,1,1,1,17,1,17,
17,1,1,1,7,1,7,1,7,1,3,1,10,10,1,1,10,1,29,29,16,1,1,
29,29,1,1,1,16,1,16,5,10,5,1,7,16,1,7,16,10,6,10,6,10,
7,16,16,10,6,10,10,16,7,16,16,1,1,29,1,1,20,1,1,1,17,
1,100,36,16,74,74,36,100,1,1,1,20,1,1,5,16,7,10,6,6,10,
16,1,16,10,10,1,16,16,10,10,1,1,16,1,16,10,1,1,1,17,17,
1,1,1,1,17,17,1,1,1,17,17,1,1,1,1,1,16,7,16,7,1,16,
10,6,10,10,6,6,10,10,6,10,10,10,10,6,10,1,1,1,20,1,1,
17,1,36,100,20,1,1,100,36,1,1,74,16,74,1,10,10,1,1,10,
1,29,29,16,1,1,29,29,1,1,1,16,1,7,7,3,1,26,1,65,65,26,
1,1,59,59,1,289,1,26,1,5,7,26,1,26,10,1,10,26,26,1,10,
17,17,16,1,16,7,26,1,26,1,10,1,16,16,10,1,17,17,26,10,
26,1,26,1,65,65,26,1,1,59,59,1,289,1,26,1,7,3,1,1,16,
1,1,1,1,1,1,1,16,1,7,1,1,1,10,10,1,1,1,1,10,1,10,1,
1,16,1,1,1,1,1,1,1,16,1,10,1,1,1,8,27,8,10,1,1,1,1,
1,1,27,8,8,10,1,1,1,7,7,1,1,1,1,5,5,5,3,1,1,1,1,7,
5,7,1,1,1,1,7,5,7,10,10,8,1,1,1,10,8,1,1,1,27,1,1,1,
1,1,1,7,3,7,7,1,1,16,7,7,7,43,16,10,5,1,1,1,10,1,1,
43,278,1,1,38,1,1,1,38,59,278,1,59,1,1,16,7,7,5,43,16,
14,7,16,7,16,7,1,43,1,1,1,38,1,1,1,278,59,38,278,59,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,29,26,26,26,43,43,95,26,149,1,1,40,1,1,1,1,1,1,
1,1,1,1,81,81,1,1,1,1,1,10,1,14,1,10,1,9,29,13,1,32,
32,39,1,70,70,1,1,39,1,1,1,38,38,3,7,1,1,1,7,1,1,1,
10,1,48,48,26,1,81,81,1,1,26,1,1,1,81,81,7,1,1,1,7,1,
1,1,10,1,48,48,26,1,81,81,1,1,26,1,1,1,81,81,1,10,16,
5,13,10,13,6,1,1,16,26,1,1,11,1,1,26,1,1,26,1,16,43,1,
1,1,1,95,1,1,1,1,70,1,1,1,1,1,70,1,1,1,1,1,1,10,29,
29,1,13,1,23,23,43,1,39,39,1,1,43,43,43,97,38,38,1,1,1,
1,1,1,76,1,95,1,62,1,1,1,95,1,1,1,102,229,20,16,20,1,
1,16,1,26,1,11,1,1,1,26,1,1,26,16,1,1,14,10,1,1,63,
170,1,1,70,1,1,106,1,291,1,129,38,1,7,1,1,55,1,1,1,102,
1,1,1,1,1,1,1,102,10,1,1,76,1,1,1,62,1,1,1,95,95,229,
1,102,1,40,1,40,1,17,1,1,1,17,1,26,26,40,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,26,1,1,1,81,1,1,1,1,1,192,1,70,1,
1,81,1,1,1,1,1,1,192,70,1,1,1,1,1,1,110,16,43,1,1,1,
1,1,1,1,1,1,1,1,1,1,16,1,1,1,1,1,60,1,26,1,1,1,1,1,
60,26,1,1,1,1,1,1,1,1,1,1,1,1,1,1,43,16,1,1,1,38,1,
1,1,1,1,1,74,74,26,48,1,16,5,7,7,48,16,10,7,1,10,1,1,
26,1,1,1,81,1,1,26,81,1,81,81,26,1,1,1,36,26,43,43,26,
17,40,16,1,1,1,76,1,1,1,192,1,1,1,1,1,1,81,70,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,10,1,1,1,14,10,10,1,29,1,29,1,1,20,149,52,1,31,1,
31,1,1,1,1,1,31,7,7,26,10,1,5,1,1,1,9,17,1,10,10,26,
1,11,17,16,1,16,26,17,1,11,3,1,1,7,7,1,14,1,14,1,1,43,
278,59,1,59,278,38,1,1,1,1,1,38,1,1,7,7,1,14,1,14,1,1,
43,278,59,1,59,278,38,1,1,1,1,1,38,1,1,1,1,149,1,1,1,
1,1,192,70,1,1,1,81,1,1,1,1,1,1,10,10,1,29,1,29,80,1,
24,74,16,1,36,100,20,1,1,74,100,1,36,1,1,1,1,1,40,1,1,
26,40,1,1,17,17,1,1,1,40,1,26,1,9,1,1,26,1,1,26,16,1,
1,26,11,1,1,1,26,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,16,1,1,63,291,1,1,38,129,1,1,106,170,1,1,70,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,95,1,1,1,102,1,1,95,
62,1,1,229,95,1,1,1,43,1,1,1,81,1,1,1,1,1,1,1,81,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,70,1,1,1,1,70,1,1,74,
1,1,1,60,1,60,74,1,1,1,1,1,1,1,1,26,26,1,1,1,1,1,1,
1,1,1,1,1,1,43,1,1,1,1,16,1,38,1,1,1,1,110,1,16,1,16,
26,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,43,1,1,36,26,43,
16,26,17,149,43,76,1,63,55,1,1,1,1,1,1,1,1,1,192,70,81,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,10,1,10,1,14,1,1,1,13,29,9,1,20,1,1,31,31,
1,1,52,149,1,1,1,31,1,7,5,26,10,1,7,20,1,20,16,17,10,
1,1,16,11,1,17,26,10,26,16,17,11,1,7,1,1,1,3,1,10,1,1,
1,43,1,1,38,59,1,278,59,278,1,1,1,38,1,1,10,16,7,13,6,
13,10,26,1,1,1,11,1,1,26,16,26,1,1,26,1,1,1,1,1,1,40,
1,1,1,1,1,1,81,1,1,1,70,192,1,1,1,1,1,1,1,29,13,1,29,
80,24,1,1,20,36,1,100,16,74,74,1,100,36,1,1,1,1,1,1,1,
63,1,1,106,70,1,1,170,291,1,1,129,38,1,1,10,1,1,1,43,1,
1,38,59,1,278,59,278,1,1,1,38,1,10,14,1,1,95,1,1,89,95,
1,1,122,262,1,318,1,95,1,10,7,40,1,1,1,1,26,1,40,1,26,
40,17,17,1,1,1,149,1,1,1,70,1,1,106,38,1,129,1,170,291,
1,1,1,1,1,102,1,1,1,102,1,1,1,1,1,1,43,1,1,1,81,1,1,
1,1,1,1,1,81,1,1,1,1,1,1,70,1,1,1,1,70,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,60,
26,16,1,1,1,1,43,1,1,1,1,16,38,1,1,1,1,1,1,1,1,1,1,
1,1,1,110,16,1,74,26,26,1,1,1,74,60,1,1,1,1,1,1,1,1,
1,1,43,1,1,16,7,43,16,7,7,43,16,26,1,1,26,1,1,1,1,1,
1,1,1,1,1,16,16,1,1,1,1,1,19,1,10,1,19,1,1,20,32,1,1,
1,31,1,1,1,1,1,31,1,1,1,1,1,1,1,3,7,1,1,1,1,43,1,1,
1,1,16,1,1,1,1,1,16,1,1,1,1,1,43,1,1,1,43,1,1,1,63,
1,1,1,70,1,1,1,1,1,70,1,1,1,1,1,1,10,1,19,61,1,19,61,
1,1,1,31,1,1,1,1,1,31,1,1,1,1,1,7,1,1,1,1,43,1,1,1,
1,16,1,1,1,1,1,16,1,1,1,1,1,26,10,17,1,1,17,1,1,1,10,
1,1,1,1,1,10,10,10,1,1,1,1,1,1,95,1,1,1,1,81,1,1,1,
1,1,81,1,1,1,1,1,32,1,20,1,1,1,1,31,1,1,1,1,1,31,1,
1,1,1,1,1,43,48,1,1,1,70,1,1,1,1,1,81,1,192,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,43,1,1,1,1,1,1,1,1,
1,1,70,70,1,1,1,1,1,1,70,1,1,1,1,1,81,1,192,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,14,9,10,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,10,9,1,1,1,14,1,1,1,
1,1,1,1,1,1,10,1,19,1,1,43,19,1,20,1,32,1,1,1,1,31,1,
1,1,31,1,1,1,1,1,1,26,10,7,7,1,10,17,1,1,17,1,1,1,1,
10,1,1,1,10,1,10,10,1,1,1,1,1,1,1,1,1,95,1,1,1,1,1,
1,81,1,1,1,81,1,1,1,1,1,1,1,1,43,19,61,19,1,61,1,1,1,
1,31,1,1,1,31,1,1,1,1,1,1,3,1,1,1,43,1,1,1,1,1,1,16,
1,1,1,16,1,1,1,1,1,1,1,1,1,43,1,1,1,1,1,1,16,1,1,1,
16,1,1,1,1,1,1,1,63,1,1,1,1,1,1,1,70,1,1,1,70,1,1,1,
1,1,1,32,20,1,1,1,1,1,1,31,1,1,1,31,1,1,1,1,1,1,43,
1,48,1,1,1,1,70,1,1,1,81,1,1,192,1,1,1,1,43,1,1,1,1,
1,1,1,1,1,1,70,70,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,70,1,1,1,81,1,1,192,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,14,1,9,
10,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,10,9,1,1,1,1,1,1,1,1,14,1,1,1,1,1,1,1,1,1,
1,7,1,7,1,7,1,1,10,10,1,19,19,16,1,26,26,1,1,16,1,1,
1,26,26,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,7,7,7,1,14,14,14,1,1,10,26,26,1,16,1,26,26,1,
1,1,1,16,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,7,7,1,10,1,10,1,19,19,1,16,29,29,1,16,1,1,1,1,29,29,
1,1,1,10,1,1,43,1,59,278,38,1,1,1,38,1,1,1,59,278,1,
10,10,1,1,10,1,29,29,16,1,1,29,29,1,1,1,16,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,16,16,1,1,36,31,1,149,52,
1,1,31,1,1,1,1,31,16,1,1,36,1,31,1,31,1,31,1,1,1,1,
149,52,1,29,1,38,38,39,1,1,70,70,1,1,1,39,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,16,1,1,1,31,1,1,1,1,1,1,1,31,1,1,
31,1,1,1,1,1,1,1,31,1,16,1,1,1,11,38,1,1,1,1,1,1,1,
1,38,11,1,1,1,1,1,16,1,1,1,1,1,1,38,11,1,1,1,1,1,1,
11,38,1,1,1,1,1,1,1,16,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,16,7,1,1,1,7,1,1,1,10,1,48,48,26,1,81,81,1,
1,26,1,1,1,81,81,1,7,1,7,14,1,14,14,19,1,19,16,1,1,26,
26,1,16,1,1,26,1,26,7,1,1,1,1,43,1,1,1,1,16,1,1,1,1,
1,16,1,1,1,1,1,1,7,10,1,1,10,11,11,11,7,7,43,43,43,7,
7,7,7,43,43,43,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,10,1,10,1,19,19,1,16,1,26,1,26,1,16,1,1,26,26,1,1,
16,16,1,80,24,16,74,86,34,1,1,20,1,74,1,86,34,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,16,23,1,23,1,43,1,38,38,43,
1,43,43,67,187,67,24,80,1,16,74,86,1,34,1,20,1,74,34,86,
1,10,10,1,1,36,36,1,1,1,1,1,1,36,36,10,1,1,1,36,36,1,
1,1,1,36,1,36,1,1,36,1,36,1,1,1,1,36,36,1,7,1,1,1,5,
5,5,7,1,1,1,1,1,1,7,5,7,3,1,1,1,16,16,1,1,1,1,13,48,
13,16,1,1,1,1,13,13,48,1,1,1,1,48,13,13,7,3,7,1,1,1,
7,5,1,1,1,7,1,1,1,1,1,1,16,16,16,1,1,7,7,1,14,1,14,
1,1,43,278,59,1,59,278,38,1,1,1,1,1,38,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,55,1,1,1,102,1,1,
1,1,1,1,1,102,1,1,10,1,1,1,43,1,1,38,59,1,278,59,278,
1,1,1,38,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
16,1,1,76,95,1,229,102,1,1,95,1,1,1,1,62,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,149,1,129,38,170,1,291,70,1,1,1,
1,106,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,26,1,1,1,70,192,
1,1,1,1,1,1,81,1,1,70,1,192,1,1,1,1,1,81,1,43,1,1,1,
16,110,1,1,1,1,1,1,1,1,38,16,1,1,1,1,1,26,74,1,1,1,1,
1,1,26,74,1,1,1,1,1,26,1,1,1,1,1,1,60,60,43,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,16,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,7,7,14,14,1,14,19,1,19,1,
16,1,29,29,16,1,1,1,29,1,29,1,14,1,14,1,43,1,1,38,1,1,
1,38,278,59,1,1,59,1,278,14,14,14,1,10,1,1,26,26,1,1,
16,26,26,1,1,16,1,1,10,10,10,1,1,19,99,99,1,32,1,99,99,
1,1,1,1,32,10,10,61,1,61,32,1,1,99,99,1,32,1,1,99,1,
99,10,61,1,61,1,32,1,99,99,32,1,1,1,99,1,99,19,1,1,99,
99,1,1,32,99,99,1,1,32,1,1,1,16,1,1,1,31,1,1,1,1,1,1,
1,31,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,31,1,1,1,1,
31,1,1,16,1,1,1,11,38,1,1,1,1,1,1,1,1,38,11,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,16,1,1,1,1,11,1,38,1,1,1,1,38,1,
11,16,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,16,1,1,1,
1,43,1,1,1,1,1,1,16,1,1,1,16,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,26,1,1,1,1,81,1,1,1,1,1,81,1,1,1,1,1,1,1,1,1,1,
81,1,1,1,81,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,10,1,1,1,9,14,1,1,
1,1,1,1,1,1,14,9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,10,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,10,1,1,1,48,48,1,1,26,59,1,59,26,1,
1,1,65,65,289,10,10,1,1,19,19,1,1,16,29,1,29,16,1,1,1,
29,29,1,16,1,16,1,80,24,74,16,100,36,1,20,1,1,74,1,100,
36,1,16,23,1,23,43,1,97,38,38,1,43,43,43,39,1,39,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,24,80,1,74,16,100,1,36,20,
1,1,74,36,100,1,10,10,1,1,17,17,1,1,1,1,1,1,17,17,10,
1,1,1,17,17,1,1,1,1,17,1,17,1,1,17,1,17,1,1,1,1,17,
17,1,7,1,1,1,5,7,7,3,1,1,1,1,1,1,5,5,5,7,1,1,1,10,
10,1,1,1,1,8,27,8,10,1,1,1,1,8,8,27,1,1,1,1,27,8,8,
7,7,5,1,1,1,3,7,1,1,1,7,1,1,1,1,1,1,10,10,10,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,16,1,1,149,1,38,
129,106,1,1,1,70,1,1,1,170,291,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,76,1,1,1,95,1,1,62,95,1,1,1,102,229,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,26,1,1,1,81,1,1,1,1,
1,1,1,70,192,1,1,1,1,1,81,1,1,1,1,70,1,192,1,1,1,1,1,
1,1,1,1,1,1,1,43,1,1,1,16,38,1,1,1,1,1,1,1,1,110,16,
1,1,1,1,1,1,16,1,1,1,1,26,1,60,1,1,1,1,1,1,1,1,1,1,
1,1,1,26,60,43,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,26,
74,74,16,16,1,1,29,1,38,38,39,1,1,70,70,1,1,1,39,1,16,
1,36,1,1,31,1,149,1,52,1,31,1,1,31,1,1,1,36,1,1,1,31,
1,1,31,31,1,1,1,52,149,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,16,1,1,1,31,1,1,1,1,1,1,1,31,1,1,1,1,1,1,31,1,1,
1,1,31,1,1,1,1,1,1,1,1,1,1,1,1,1,1,16,1,1,1,11,38,1,
1,1,1,1,1,1,1,38,11,1,1,1,1,1,1,16,1,1,1,1,11,38,1,
1,1,1,1,1,1,1,1,1,1,1,1,38,11,1,16,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,16,1,1,7,7,1,1,43,59,1,278,59,1,1,
38,1,278,1,1,38,7,1,1,43,1,59,1,38,1,38,1,1,278,1,278,
59,1,26,1,65,65,26,1,1,59,59,1,289,1,26,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,43,1,1,1,81,1,1,1,1,1,1,1,81,1,1,70,
1,1,1,1,1,1,1,70,1,26,1,1,1,26,149,1,74,1,1,1,1,1,1,
149,26,1,74,1,1,1,43,1,1,1,1,1,1,110,16,1,1,1,1,1,1,
16,38,1,1,1,1,1,1,1,16,1,60,1,1,1,1,60,1,1,1,1,1,1,
1,1,1,1,1,1,43,7,48,1,48,1,1,1,81,81,1,1,26,26,81,1,
81,43,1,1,59,1,278,1,59,1,38,1,278,38,1,1,1,26,1,1,192,
70,1,1,1,1,1,1,1,81,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
192,1,70,1,1,1,1,81,1,1,1,1,1,1,1,38,16,43,1,1,1,1,1,
1,1,1,1,1,1,1,1,74,74,1,1,1,1,60,1,60,26,1,1,1,1,26,
1,1,1,1,1,1,1,1,26,1,1,1,1,1,1,43,16,1,1,1,110,1,1,
1,1,1,1,1,16,1,43,1,1,1,59,1,1,38,38,1,1,278,59,278,1,
1,26,1,1,1,81,1,1,1,1,1,1,192,70,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,81,1,1,1,1,70,192,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,38,1,16,43,1,1,1,1,1,1,1,1,1,1,1,1,16,1,
1,1,1,26,60,1,1,1,1,1,1,60,26,1,43,16,1,1,1,1,1,1,1,
1,110,1,1,1,1,1,1,74,26,74,43,1,1,1,70,1,1,1,1,1,1,1,
70,1,1,1,1,1,1,81,1,1,1,1,81,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,26,1,1,1,26,1,1,74,1,1,1,1,1,1,1,26,1,74,1,1,
1,1,43,1,1,1,1,16,110,1,1,1,1,1,1,1,1,1,1,1,1,1,38,
16,1,16,1,60,1,1,1,1,60,1,1,1,1,1,1,1,1,1,1,43,1,1,
7,1,1,1,16,1,1,1,1,1,1,1,16,1,1,16,1,1,1,1,1,1,1,16,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,10,1,1,
1,1,1,1,14,9,1,1,1,1,1,1,9,14,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,10,1,1,1,1,16,1,
1,1,1,16,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,10,1,1,1,1,9,1,14,1,1,1,1,14,
1,9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,10,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,10,1,1,1,1,
9,14,1,1,1,1,1,1,1,1,1,1,1,1,1,14,9,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,10,1,1,1,1,1,7,7,5,7,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,7,
5,5,1,1,1,7,7,1,1,1,7,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,7,7,7,1,1,1,
5,5,1,1,1,7,1,1,1,1,1,1,1,1,1,7,1,1,1,1,5,7,7,1,1,
1,1,7,7,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,7,5,
7,1,1,1,1,7,5,7,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,5,7,7,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,7,7,5,
7,5,1,1,1,7,1,1,1,1,1,1,1,1,1,7,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,7 ],
sizes := List(~.sizespos,i->~.sizesset[i]),
stabilize_digitsum_base2_mod2 :=
[ 10796,10798,10816,10822,11032,11050,11056,11161,11167,11986,
14753,14771,14777,14882,14888,15707,21612,21618,22437,25462 ],
stabilize_digitsum_base2_mod3 :=
[ 10816,10822,11986,15707 ],
stabilize_digitsum_base3_mod2 :=
[ 6764,6771,6773,6776,6778,6781,6783,6788,6791,6798,6802,6951,
6953,6956,6958,6961,6963,6968,6971,6978,6982,7338,7341,7343,
7346,7348,7353,7356,7363,7367,7442,7444,7447,7449,7454,7457,
7464,7468,7588,7591,7593,7598,7601,7608,7612,7682,7684,7689,
7692,7699,7703,7813,7818,7821,7828,7832,7899,7902,7909,7913,
8087,8094,8098,8193,8197,8393,12811,12813,12816,12818,12821,
12823,12828,12831,12838,12842,13198,13201,13203,13206,13208,
13213,13216,13223,13227,13302,13304,13307,13309,13314,13317,
13324,13328,13448,13451,13453,13458,13461,13468,13472,13542,
13544,13549,13552,13559,13563,13673,13678,13681,13688,13692,
13759,13762,13769,13773,13947,13954,13958,14053,14057,14253,
18509,18512,18514,18517,18519,18524,18527,18534,18538,18613,
18615,18618,18620,18625,18628,18635,18639,18759,18762,18764,
18769,18772,18779,18783,18853,18855,18860,18863,18870,18874,
18984,18989,18992,18999,19003,19070,19073,19080,19084,19258,
19265,19269,19364,19368,19564,29022,29024,29027,29029,29034,
29037,29044,29048,29168,29171,29173,29178,29181,29188,29192,
29262,29264,29269,29272,29279,29283,29393,29398,29401,29408,
29412,29479,29482,29489,29493,29667,29674,29678,29773,29777,
29973,31668,31671,31673,31678,31681,31688,31692,31762,31764,
31769,31772,31779,31783,31893,31898,31901,31908,31912,31979,
31982,31989,31993,32167,32174,32178,32273,32277,32473,35147,
35149,35154,35157,35164,35168,35278,35283,35286,35293,35297,
35364,35367,35374,35378,35552,35559,35563,35658,35662,35858,
37303,37308,37311,37318,37322,37389,37392,37399,37403,37577,
37584,37588,37683,37687,37883,40099,40102,40109,40113,40287,
40294,40298,40393,40397,40593,41887,41894,41898,41993,41997,
42193,45328,45332,45528,47113 ],
freeproductcandidates :=
[ 14962,15870,20352,26912,26913,26916,27231,27527,28923,33592,
33874,33916,43904,44207,44547 ],
freeproductlikes :=
[ 421,437,1565,1585,1916,1922,2604,2631,2647,2648,2651,3796,3812,
4104,4105,4423,8873,8888,8889,8892,10017,10018,10037,10052,
10368,10371,14892,14908,14912,14946,14961,14965,15431,15446,
15447,15450,15848,15869,15986,16019,16041,16164,16306,16327,
16330,16341,16352,20334,20362,26897,27228,33582,33925,38457,
38472,38473,38476,38791,39686,44191,44261,44262,44265,44550,
49073,49371,49392,49457 ],
abc_torsion :=
[[30,10],[38,10],[40,6],[55,6],[56,10],[59,10],[62,10],[67,10],[109,10],
[111,6],[115,10],[119,6],[126,10],[129,10],[130,10],[131,10],[201,6],[207,6],
[224,20],[225,20],[233,20],[234,12],[249,12],[251,6],[252,6],[253,6],[254,6],
[255,6],[259,6],[393,2],[450,6],[452,6],[480,12],[484,20],[490,20],[491,20],
[495,12],[502,6],[503,6],[504,6],[506,6],[507,6],[508,6],[569,2],[1295,6],
[1303,6],[1305,6],[1320,6],[1321,6],[1324,6],[1327,6],[1332,6],[1420,6],
[1430,6],[1441,6],[1445,6],[1448,6],[1449,6],[1452,6],[1457,6],[1583,6],
[1887,2],[1915,2],[1929,6],[1931,6],[1935,6],[1939,6],[1946,6],[1949,6],
[1950,6],[1951,6],[1984,6],[2033,2],[2215,2],[2224,2],[2254,2],[2262,2],
[2268,2],[2270,2],[2436,6],[2444,6],[2462,60],[2465,60],[2503,6],[2505,6],
[2522,84],[2529,60],[2530,60],[2714,60],[2719,60],[3506,6],[3514,6],[3516,6],
[3531,6],[3532,6],[3535,6],[3538,6],[3543,6],[3794,2],[3826,6],[3828,6],
[3831,6],[3845,6],[3849,6],[3852,6],[3853,6],[3857,6],[3930,2],[4126,8],
[4426,10],[4462,10],[4479,10],[4611,60],[4615,60],[4651,6],[4654,84],[4665,6],
[4672,60],[4676,60],[4840,6],[4846,6],[4860,60],[4862,60],[5701,6],[5704,6],
[5715,6],[5718,6],[5720,6],[5722,6],[5726,6],[5730,6],[6183,2],[6285,6],
[6287,6],[6291,6],[6295,6],[6302,6],[6305,6],[6306,6],[6307,6],[6340,2],
[6389,8],[6593,10],[6610,10],[6626,10],[6785,14],[6808,14],[6983,14],[6986,14],
[7815,6],[7838,6],[7996,2],[8394,6],[8397,6],[8507,2],[8845,4],[9747,20],
[9755,20],[9773,12],[9776,12],[9872,20],[9882,20],[9897,20],[9900,12],[9901,12],
[10035,14],[10398,12],[10402,12],[10667,4],[10676,4],[10706,4],[11238,660],
[11283,660],[11396,660],[11528,660],[11750,20],[11753,20],[11764,20],[11771,12],
[11775,12],[12020,20],[12022,20],[12039,20],[12046,12],[12047,12],[12124,14],
[12232,14],[12642,4],[12656,4],[13675,6],[13698,6],[13856,8],[13949,6],[15421,12],
[15429,4],[15709,30],[15726,60],[15730,12],[15741,4],[15743,12],[15845,30],
[15925,60],[15932,12],[16465,4],[17223,12],[17228,12],[17326,20],[17337,20],
[17341,20],[17348,12],[17353,12],[17825,20],[17831,20],[17845,12],[17847,12],
[17880,14],[18158,4],[18164,4],[18166,4],[19074,6],[19565,6],[19568,6],[19678,8],
[21189,12],[21195,4],[21244,30],[21248,60],[21260,12],[21944,924],[22072,924],
[22381,20],[22383,12],[22393,12],[22859,20],[22878,12],[22880,12],[23089,4],
[23130,4],[23741,12],[23755,4],[24212,60],[24223,30],[24234,12],[24325,4],
[24331,12],[24380,30],[24425,60],[24517,12],[25176,4],[25184,12],[25464,30],
[25726,60],[25742,12],[27565,420],[27573,420],[33908,120],[33936,120],[35034,420],
[35065,420],[37174,120],[37202,120],[38455,4],[38787,4],[39087,4],[39140,4],
[39602,4],[40012,4],[40196,4],[41343,4],[41680,4],[41718,4],[43210,4],[44695,4],
[45227,4],[49500,4],[49549,4],[49770,4],[49786,4],[49887,4],[50619,4]],
redundant_generator :=
[202,268,328,393,569,1336,1377,1625,1658,1698,1761,1887,1915,
2033,2215,2224,2254,2262,2268,2270,2279,3500,3501,3502,3507,
3508,3517,3518,3522,3524,3525,3526,3527,3528,3544,3550,3592,
3633,3634,3677,3714,3756,3794,3824,3833,3834,3838,3840,3841,
3842,3843,3844,3930,4139,4193,4260,4319,4354,5645,5646,5662,
5689,5690,5691,5693,5694,5695,5698,5699,5705,5706,5711,5712,
5747,5774,5788,5828,5894,5905,5942,5978,5979,6018,6050,6080,
6086,6112,6119,6152,6183,6213,6284,6289,6290,6340,7725,7726,
7743,7769,7786,7813,7817,7818,7821,7822,7823,7824,7827,7828,
7829,7832,7875,7909,7913,7950,7996,8032,8058,8059,8087,8094,
8168,8193,8224,8225,8250,8254,8283,8364,8390,8393,8507,8715,
8962,10854,12747,12979,14514,14523,14565,14635,19848,19857,19862,
26160,26316,26510,27643,27841,28970,29168,30394,31620,32797,
38205,38331,38557,38921,39015,39193,39313,39424,39779,40055,
40287,40450,40642,40824,40870,40914,41069,41239,41411,41850,
42109,42193,42362,42449,42494,42593,42761,42936,43104,43330,
43685,44030,44394,44904,45084,45501,45745,45806,45847,46064,
46241,46593,47090,47266,47331,47399,47433,47575,48035,48445,
48796,49217,50046,50075,51006,51050],
spheresizebound_4 :=
[23,107,202,218,221,236,268,328,393,464,467,482,569,1291,1296,
1297,1306,1307,1309,1314,1315,1336,1349,1377,1391,1424,1426,
1429,1432,1434,1437,1439,1472,1511,1549,1586,1625,1658,1698,
1761,1887,1915,2033,2215,2224,2254,2262,2268,2270,2279,2429,
2500,2675,2870,3502,3507,3508,3517,3518,3520,3525,3526,3544,
3550,3592,3634,3677,3686,3714,3725,3756,3794,3800,3836,3838,
3840,3843,3844,3905,3930,3938,3970,4001,4060,4139,4193,4260,
4319,4354,4592,4638,4838,4999,5646,5662,5692,5695,5698,5699,
5705,5706,5711,5712,5747,5774,5788,5828,5858,5859,5863,5867,
5869,5870,5872,5875,5877,5894,5905,5942,5979,6018,6050,6086,
6119,6152,6183,6213,6340,6798,6961,7725,7743,7786,7813,7817,
7819,7822,7827,7828,7829,7832,7839,7846,7851,7860,7875,7913,
7939,7950,7977,7996,8032,8058,8087,8094,8128,8130,8133,8134,
8136,8138,8168,8193,8225,8250,8254,8283,8338,8403,8409,8507,
8715,8916,8919,8934,8962,9743,9748,9749,9758,9759,9761,9766,
9767,9801,9843,9876,9878,9881,9884,9886,9889,9891,9924,9963,
10001,10038,10854,11044,11048,11051,11064,11701,11741,11744,
11747,11748,11754,11755,11760,11761,11786,12030,12032,12034,
12037,12038,12747,12821,12823,12828,12831,12838,12842,12979,
13603,13646,13673,13688,13692,13733,13759,13762,13768,13769,
13771,13772,13773,13775,13776,13779,13790,13791,13812,13850,
13923,13954,13958,13988,14025,14053,14057,14114,14143,14175,
14198,14253,14263,14269,14354,14358,14514,14523,14565,14635,
17187,17192,17193,17202,17203,17205,17210,17211,17245,17287,
17320,17322,17325,17328,17330,17333,17335,17368,17407,17445,
17482,18904,18950,18984,18988,18989,18990,18992,18993,18998,
18999,19000,19003,19010,19017,19022,19033,19070,19073,19109,
19184,19258,19265,19269,19270,19271,19278,19282,19290,19364,
19366,19368,19372,19373,19376,19380,19388,19848,19857,19862,
22165,22192,22331,22358,22359,22363,22367,22369,22370,22372,
22375,22377,22445,22481,22550,22583,22615,22646,22705,26160,
26164,26216,26267,26268,26269,26270,26316,26318,26367,26415,
26510,27594,27643,27648,27698,27744,27745,27746,27747,27795,
27841,28970,28973,29021,29022,29023,29024,29072,29120,29168,
30299,30347,30394,30489,31571,31620,31668,32797,32843,38205,
38211,38221,38222,38253,38263,38264,38294,38295,38296,38298,
38301,38304,38305,38306,38307,38309,38311,38312,38313,38331,
38335,38344,38347,38352,38374,38383,38386,38391,38421,38449,
38458,38461,38466,38485,38494,38495,38497,38499,38501,38502,
38503,38504,38505,38529,38530,38532,38534,38535,38536,38537,
38538,38543,38547,38555,38557,38564,38566,38572,38599,38629,
38631,38637,38662,38690,38719,38721,38727,38774,38800,38802,
38807,38808,38827,38832,38833,38839,38845,38879,38880,38921,
38980,39015,39156,39166,39167,39193,39201,39207,39214,39241,
39247,39254,39276,39277,39278,39279,39280,39282,39286,39287,
39288,39289,39291,39292,39293,39294,39296,39313,39324,39361,
39390,39391,39397,39398,39400,39402,39403,39404,39407,39408,
39424,39433,39438,39439,39467,39472,39473,39493,39499,39500,
39502,39504,39505,39506,39509,39531,39532,39534,39536,39537,
39538,39540,39541,39544,39548,39556,39569,39593,39598,39599,
39622,39677,39703,39708,39709,39733,39734,39742,39748,39779,
39844,40055,40060,40068,40070,40073,40098,40099,40100,40102,
40103,40108,40109,40110,40111,40112,40113,40115,40116,40119,
40120,40127,40130,40131,40132,40139,40147,40149,40152,40177,
40185,40187,40190,40222,40250,40253,40258,40259,40260,40261,
40263,40265,40268,40269,40270,40277,40282,40287,40294,40298,
40322,40327,40328,40329,40330,40332,40333,40334,40336,40338,
40339,40346,40351,40365,40393,40397,40423,40424,40425,40426,
40428,40430,40434,40435,40442,40447,40450,40454,40483,40515,
40538,40564,40565,40568,40575,40582,40587,40590,40593,40600,
40603,40607,40609,40612,40617,40624,40631,40636,40642,40690,
40694,40697,40698,40702,40816,40821,40824,40870,40876,40884,
40891,40892,40893,40914,40922,40928,40935,40959,40967,40969,
40972,40997,41005,41007,41010,41042,41069,41083,41085,41118,
41120,41141,41144,41147,41148,41149,41150,41152,41153,41154,
41156,41158,41185,41209,41212,41213,41214,41215,41217,41219,
41221,41222,41225,41229,41237,41239,41250,41280,41302,41303,
41304,41305,41307,41309,41311,41335,41385,41388,41390,41411,
41437,41439,41505,41514,41518,41738,41747,41750,41755,41785,
41813,41822,41825,41830,41850,41861,41865,41869,41887,41893,
41894,41896,41897,41898,41899,41900,41901,41904,41907,41911,
41915,41916,41919,41930,41934,41938,41963,41992,41993,41995,
41996,41997,41999,42000,42001,42002,42003,42005,42009,42014,
42015,42017,42026,42030,42034,42060,42085,42109,42166,42167,
42170,42171,42174,42185,42186,42193,42239,42242,42243,42246,
42257,42258,42264,42265,42268,42279,42280,42325,42328,42339,
42340,42346,42357,42358,42362,42405,42406,42449,42455,42465,
42494,42496,42501,42505,42518,42526,42528,42531,42554,42563,
42566,42571,42593,42602,42604,42609,42626,42630,42634,42635,
42636,42637,42639,42640,42641,42642,42644,42648,42652,42660,
42664,42668,42669,42670,42671,42673,42674,42675,42676,42677,
42678,42679,42704,42706,42711,42736,42738,42743,42761,42767,
42794,42795,42796,42797,42799,42800,42801,42802,42804,42826,
42856,42906,42907,42909,42912,42914,42936,42956,42958,42961,
42963,42981,42984,42986,43027,43029,43035,43039,43086,43104,
43266,43307,43330,43342,43371,43372,43373,43374,43376,43377,
43378,43380,43382,43409,43441,43559,43609,43612,43661,43685,
43738,43742,43971,44003,44004,44006,44008,44009,44010,44011,
44017,44021,44029,44030,44040,44073,44105,44136,44195,44276,
44281,44353,44394,44638,44640,44670,44674,44678,44703,44705,
44710,44735,44737,44742,44766,44770,44774,44800,44825,44855,
44904,44980,44982,44985,44986,45025,45028,45029,45034,45038,
45067,45068,45084,45119,45263,45268,45269,45300,45328,45332,
45365,45389,45394,45395,45418,45450,45473,45501,45528,45529,
45530,45537,45538,45541,45544,45549,45619,45620,45627,45629,
45631,45633,45639,45640,45647,45651,45659,45666,45670,45678,
45745,45775,45783,45806,45813,45819,45820,45821,45828,45847,
45859,45889,45891,45897,45922,45926,45930,45950,45955,45956,
45979,45981,45987,46034,46064,46087,46090,46091,46093,46095,
46099,46105,46137,46138,46140,46142,46201,46203,46205,46222,
46224,46241,46259,46419,46421,46426,46450,46509,46539,46593,
46664,46669,46712,46718,46722,46946,46974,47003,47005,47011,
47035,47058,47090,47111,47113,47117,47118,47121,47123,47125,
47129,47133,47160,47164,47165,47168,47172,47180,47207,47208,
47211,47214,47215,47218,47223,47266,47282,47285,47289,47297,
47301,47305,47313,47331,47347,47355,47396,47397,47398,47399,
47405,47412,47433,47445,47470,47575,47627,47631,47713,47903,
47958,48014,48015,48023,48029,48035,48125,48364,48417,48423,
48429,48435,48445,48470,48796,48898,48902,49158,49164,49217,
50033,50034,50035,50044,50046,50075,50081,51003,51006,51013,
51014,51015,51046,51050,52180,52210,52211,52260,52261,52280,
52289,52309,52316,52336,52359,52361],
spheresizebound_6 := Union( ~.spheresizebound_4,
[31,44,90,94,2437,2492,2683,3500,3501,3522,3524,3527,3528,3633,
3762,3763,3824,3833,3834,3841,3842,4031,4034,4190,4216,4575,
4655,4821,5645,5689,5690,5691,5693,5694,5862,5864,5876,5878,
5978,6080,6112,6154,6211,6284,6289,6290,6781,6978,7079,7095,
7726,7769,7818,7821,7823,7824,7826,7842,7848,7909,8014,8030,
8059,8120,8135,8137,8170,8224,8364,8390,8393,8400,8407,8412,
8717,8720,8779,8780,8901,8903,10150,10213,10733,10735,10856,
10915,12745,12806,13783,13784,13788,13789,14264,14268,14270,
14271,14353,14359,14360,14361,14513,14515,14524,14525,14556,
14561,15522,17594,17657,19015,19016,19023,19024,19281,19283,
19288,19289,19381,19382,19387,19389,19847,19849,19855,19856,
19863,19864,20922,24153,25347,26161,26163,26165,26167,26213,
26214,26217,26218,26265,26266,26317,26320,26366,26368,26416,
26417,26463,26464,27592,27593,27596,27597,27644,27645,27647,
27694,27695,27696,27793,27794,27842,27888,28969,28971,28974,
29020,29070,29071,29119,29121,29167,29214,30297,30298,30346,
30348,30395,30396,30442,30443,31572,31573,31619,31621,31667,
31714,32795,32796,32844,32890,38206,38208,38212,38215,38224,
38228,38248,38249,38254,38255,38266,38268,38290,38291,38334,
38338,38345,38351,38353,38355,38373,38375,38384,38388,38392,
38393,38486,38488,38521,38523,38563,38570,38571,38574,38628,
38633,38636,38638,38804,38806,38829,38831,38876,38878,38981,
38982,38998,38999,39152,39153,39158,39160,39171,39173,39194,
39197,39199,39208,39212,39234,39237,39238,39248,39250,39316,
39317,39329,39330,39352,39354,39364,39367,39388,39389,39425,
39426,39432,39437,39459,39460,39466,39469,39705,39707,39730,
39732,39780,39781,39823,39824,40054,40058,40062,40063,40065,
40069,40075,40095,40137,40138,40142,40143,40148,40150,40249,
40252,40285,40293,40300,40305,40307,40311,40312,40317,40319,
40321,40392,40395,40404,40405,40409,40411,40416,40417,40419,
40420,40455,40460,40484,40485,40566,40570,40591,40595,40615,
40619,40640,40685,40810,40811,40871,40878,40879,40885,40912,
40913,40919,40920,40931,40933,40958,40961,40963,40964,40970,
40974,41070,41072,41078,41081,41105,41107,41113,41114,41240,
41245,41246,41270,41274,41275,41384,41386,41410,41413,41415,
41435,41460,41462,41739,41741,41752,41754,41757,41758,41849,
41852,41858,41863,41866,41868,41885,41921,41927,41928,41935,
41936,42114,42115,42138,42141,42164,42168,42191,42192,42195,
42203,42209,42210,42211,42240,42262,42285,42294,42298,42300,
42301,42344,42345,42363,42379,42453,42456,42464,42466,42495,
42500,42590,42591,42599,42606,42607,42610,42628,42662,42733,
42734,42741,42742,42760,42766,42771,42775,42791,42824,42825,
42832,42905,42911,42931,42932,42934,42960,42983,43026,43085,
43087,43103,43120,43257,43258,43269,43271,43329,43337,43343,
43364,43404,43407,43499,43503,43610,43613,43659,43662,43684,
43728,43995,43996,44037,44043,44045,44070,44075,44078,44080,
44278,44279,44350,44351,44455,44634,44636,44668,44672,44676,
44677,44733,44739,44741,44743,44906,44908,44910,44931,44933,
44935,45085,45086,45102,45103,45265,45267,45298,45301,45330,
45334,45340,45341,45344,45345,45352,45353,45499,45503,45504,
45505,45526,45575,45576,45577,45746,45759,45805,45811,45814,
45827,45848,45849,45861,45862,45866,45893,45895,45898,45899,
46060,46062,46065,46066,46089,46136,46180,46181,46240,46242,
46258,46275,46590,46592,46665,46708,46769,47084,47086,47088,
47115,47162,47205,47264,47265,47283,47299,47330,47344,47390,
47391,47404,47413,47432,47434,47439,47441,47468,47474,47476,
47478,47576,47580,47600,47604,47748,47905,47909,48010,48011,
48038,48039,48061,48062,48416,48421,48441,48468,48589,48742,
48746,48797,48866,49147,49148,49873,49874,49878,49879,50029,
50036,50045,50074,50076,50080,50999,51005,51016,51044,51045,
51051,52178,52179,52209,52215,52216,52220,52254,52255,52256,
52265,52281,52282,52287,52288,52308,52310,52315,52317,52337,
52338,52357,52358,52365,52375] ),
spheresizebound_12 := Union( ~.spheresizebound_6,
[26,41,89,92,157,164,199,200,203,205,228,230,241,243,263,265,
266,327,330,449,451,474,476,487,489,510,851,957,1289,1290,
1292,1293,1298,1300,1311,1313,1316,1317,1334,1376,1418,1419,
1422,1423,1427,1428,1433,1435,1622,1657,1691,1724,1730,1756,
1783,1928,1930,1932,1933,1934,2143,2300,2301,2302,2305,2308,
2318,2319,2321,2365,2366,2367,2373,2375,2383,2384,2386,3219,
3290,3431,3503,3504,3505,3509,3511,3513,3519,3523,3560,3561,
3563,3602,3603,3605,3646,3648,3650,3670,3673,3675,3712,3716,
3718,3724,3750,3752,3766,3825,3827,3829,3835,3839,3871,3873,
3875,3896,3908,4030,4141,4166,4215,4217,4510,4511,4512,4515,
4518,4520,4528,4529,5364,5419,5560,5649,5652,5663,5696,5697,
5700,5702,5708,5710,5714,5716,5734,5737,5748,5775,5782,5795,
5815,5822,5835,5857,5861,5868,5874,6005,6013,6016,6047,6052,
6056,6058,6140,6143,6146,6202,6205,6286,6288,6292,6294,6360,
6483,6764,6783,6802,6968,6971,7076,7077,7084,7093,7099,7504,
7645,7732,7734,7742,7775,7777,7785,7812,7814,7816,7820,7825,
7830,7831,7834,7835,7837,7840,7841,7855,7869,7871,7899,7900,
7902,7948,7954,7955,7957,8015,8023,8025,8050,8085,8098,8121,
8127,8132,8161,8163,8197,8311,8391,8392,8395,8396,8398,8401,
8402,8442,8545,8718,8782,8818,8926,8928,8939,8941,8987,9741,
9742,9744,9745,9750,9752,9763,9765,9786,9828,9870,9871,9874,
9875,9885,9887,10074,10109,10143,10208,10233,10380,10382,10384,
10386,10514,10732,10771,10940,11042,11055,11066,11694,11738,
11739,11740,11745,11746,11757,11759,11827,11844,11867,11884,
11906,12018,12019,12021,12027,12028,12069,12103,12186,12199,
12229,12463,12685,12783,12805,12807,12808,12811,12813,12816,
12818,12852,12853,12854,12855,12856,12857,12858,12859,12860,
12861,12862,12863,12957,12994,13009,13013,13049,13064,13068,
13208,13223,13227,13309,13324,13328,13453,13468,13472,13544,
13559,13563,13588,13607,13631,13650,13714,13729,13755,13758,
13760,13766,13767,13808,13919,13992,14171,14202,14224,14228,
14251,14252,14255,14300,14322,14345,14509,14516,14526,14554,
14555,14560,14651,14658,14661,15423,15507,15541,15753,15809,
15885,15907,16406,16431,17185,17186,17188,17189,17194,17196,
17207,17209,17230,17272,17314,17315,17318,17319,17329,17331,
17518,17553,17587,17652,17669,17824,17826,17828,17830,17954,
18190,18197,18200,18257,18517,18524,18527,18618,18625,18628,
18762,18769,18772,18853,18860,18863,18897,18907,18940,18947,
18983,18985,19001,19005,19011,19012,19030,19112,19220,19223,
19256,19264,19267,19276,19277,19292,19363,19370,19375,19377,
19841,19842,19850,19883,19884,19885,20603,20651,20670,20762,
20776,20935,21033,22149,22208,22234,22239,22250,22275,22280,
22291,22315,22357,22361,22368,22374,22397,22516,22548,22553,
22554,22556,22558,22629,22786,22811,22860,22862,22918,23739,
23746,23868,23891,23912,24363,24454,25188,25356,25375,25508,
25640,25854,25943,26162,26166,26215,26219,26319,26369,26490,
26498,26501,27591,27595,27646,27697,27773,27959,28972,29050,
29065,29067,29073,29147,29162,29164,29240,29255,29257,30295,
30296,30345,30515,30560,31570,31694,31702,31705,31785,32870,
32878,32881,32916,33001,33028,33075,33116,33167,33194,33195,
33199,33203,33205,33206,33208,33211,33213,33233,33281,33317,
33384,33386,33389,33390,33392,33394,33419,33451,33482,33541,
33971,33972,34018,35099,36245,36272,36319,36360,36411,36438,
36439,36443,36447,36449,36450,36452,36455,36457,36477,36525,
36561,36628,36630,36633,36634,36636,36638,36663,36695,36726,
36785,38207,38213,38214,38226,38227,38229,38230,38250,38257,
38258,38265,38270,38271,38272,38275,38297,38310,38336,38348,
38349,38354,38377,38379,38385,38390,38394,38411,38413,38417,
38422,38426,38490,38496,38500,38524,38527,38531,38533,38568,
38569,38573,38597,38601,38605,38606,38635,38639,38641,38659,
38666,38667,38670,38689,38696,38751,38836,38837,38854,38881,
38882,38922,38923,38961,38962,39151,39157,39159,39161,39168,
39169,39172,39178,39198,39200,39204,39209,39210,39213,39239,
39240,39251,39252,39253,39255,39258,39274,39275,39315,39326,
39327,39353,39366,39369,39394,39399,39435,39446,39471,39475,
39477,39501,39526,39529,39533,39535,39547,39551,39553,39554,
39562,39565,39571,39621,39624,39632,39654,39711,39713,39735,
39738,39739,39741,39845,39864,39865,40059,40064,40071,40080,
40101,40106,40107,40114,40121,40122,40141,40144,40154,40155,
40157,40159,40212,40213,40223,40225,40232,40257,40262,40264,
40288,40295,40296,40299,40306,40310,40318,40323,40324,40325,
40331,40361,40363,40368,40387,40394,40399,40401,40402,40406,
40410,40418,40427,40429,40456,40459,40489,40491,40510,40511,
40512,40537,40542,40572,40573,40592,40596,40598,40601,40602,
40621,40647,40662,40686,40687,40691,40692,40695,40696,40703,
40704,40729,40814,40815,40822,40823,40877,40886,40915,40918,
40925,40929,40930,40932,40936,40939,40957,40962,40968,40975,
40977,41033,41036,41045,41049,41075,41079,41080,41088,41089,
41110,41115,41116,41119,41127,41142,41143,41183,41187,41211,
41216,41218,41227,41233,41234,41235,41244,41254,41276,41279,
41308,41358,41393,41394,41443,41506,41509,41510,41512,41516,
41517,41522,41524,41545,41547,41737,41743,41748,41749,41751,
41756,41777,41779,41790,41792,41859,41862,41867,41890,41891,
41892,41895,41905,41906,41931,41932,41933,41937,41965,41967,
41970,41971,41988,41990,41991,41994,41998,42004,42006,42007,
42008,42012,42013,42053,42054,42082,42083,42090,42091,42111,
42142,42176,42177,42196,42199,42204,42208,42244,42245,42247,
42249,42272,42273,42277,42278,42286,42289,42293,42299,42329,
42330,42349,42395,42454,42463,42517,42522,42529,42555,42568,
42573,42595,42600,42601,42608,42627,42633,42638,42661,42663,
42665,42701,42709,42729,42735,42740,42744,42746,42765,42773,
42830,42834,42879,42910,42937,42939,42959,42982,42985,42987,
43025,43031,43032,43036,43038,43043,43044,43066,43068,43259,
43268,43272,43274,43294,43298,43302,43309,43339,43340,43365,
43367,43406,43410,43414,43436,43437,43469,43474,43500,43527,
43528,43608,43614,43617,43634,43637,43663,43729,43730,43734,
43741,43746,43959,43968,43975,43976,43979,43997,44005,44007,
44042,44047,44076,44102,44103,44110,44111,44163,44169,44274,
44280,44301,44308,44352,44355,44396,44416,44454,44456,44625,
44627,44633,44639,44643,44644,44647,44661,44667,44673,44675,
44732,44740,44745,44794,44798,44823,44827,44831,44832,44878,
44913,44914,44938,44939,44958,44983,44984,45031,45032,45035,
45036,45043,45044,45255,45256,45262,45271,45273,45276,45295,
45305,45327,45333,45336,45337,45339,45346,45351,45361,45363,
45420,45422,45446,45452,45477,45478,45479,45512,45527,45533,
45534,45535,45536,45584,45597,45622,45624,45625,45626,45630,
45632,45637,45638,45643,45661,45662,45774,45776,45781,45782,
45812,45826,45856,45864,45888,45894,45896,45901,45920,45928,
45952,45985,45989,46011,46068,46070,46086,46097,46098,46111,
46114,46115,46139,46141,46183,46185,46482,46483,46597,46615,
46617,46620,46666,46667,46709,46715,46719,46727,46732,46786,
46803,46948,46950,46953,46954,46978,46980,47031,47033,47040,
47060,47062,47066,47092,47093,47096,47112,47120,47122,47124,
47128,47130,47131,47163,47166,47170,47171,47175,47176,47182,
47210,47212,47213,47216,47217,47219,47220,47221,47222,47224,
47246,47247,47250,47287,47293,47304,47308,47348,47349,47354,
47356,47373,47375,47384,47385,47406,47411,47416,47421,47435,
47440,47444,47449,47469,47551,47555,47557,47584,47608,47625,
47629,47670,47731,47764,47904,47908,47911,47984,47989,47990,
48013,48019,48022,48104,48105,48146,48390,48392,48400,48419,
48427,48447,48466,48472,48552,48570,48588,48745,48772,48844,
48889,48897,48903,48904,48905,49059,49105,49119,49146,49150,
49159,49163,49165,49166,49420,49451,49471,49473,49475,49520,
49521,49522,49564,49565,49795,49799,49820,49822,49842,49865,
49880,49881,50043,50085,50097,50098,50393,50394,50793,50804,
51004,51026,51028,51034,51035,51042,51043,51055,51426,51427,
51443,51579,51940,51994,52001,52078,52087,52136,52152,52181,
52275,52360,52394] ),
spheresizebound_24 := Union( ~.spheresizebound_12,
[3,7,32,42,69,73,91,93,156,158,163,166,173,177,179,208,209,
210,211,212,214,215,217,219,220,222,223,226,227,237,239,282,
289,347,362,366,454,455,456,457,458,460,461,463,465,466,468,
469,472,473,483,485,525,532,535,643,659,796,799,800,852,902,
904,906,1006,1055,1056,1333,1335,1339,1340,1341,1342,1343,1350,
1352,1354,1355,1356,1378,1381,1382,1383,1385,1392,1394,1396,
1398,1459,1462,1463,1464,1466,1473,1475,1477,1479,1501,1502,
1503,1505,1512,1514,1516,1518,1613,1614,1616,1623,1627,1629,
1632,1633,1649,1651,1660,1662,1664,1685,1692,1694,1696,1757,
1759,1763,1794,1824,1955,1957,1959,2004,2006,2049,2310,2370,
2413,2432,2438,2447,2448,2450,2493,2494,2513,2678,2684,2693,
2694,2696,2849,2857,3014,3022,3035,3067,3075,3088,3170,3178,
3191,3267,3269,3277,3317,3325,3338,3410,3418,3521,3530,3534,
3539,3540,3542,3565,3566,3567,3604,3607,3609,3643,3644,3645,
3687,3696,3710,3728,3760,3765,3837,3846,3850,3855,3856,3858,
3868,3869,3874,3898,3904,3971,3980,4029,4035,4218,4219,4220,
4221,4531,4558,4574,4576,4577,4578,4579,4642,4645,4656,4820,
4822,4823,4824,4825,4995,5012,5160,5164,5177,5213,5217,5230,
5316,5320,5333,5412,5415,5432,5463,5467,5480,5556,5573,5647,
5648,5671,5703,5719,5721,5723,5725,5731,5732,5733,5742,5785,
5839,5855,5856,5860,5873,5972,5985,5989,6011,6027,6042,6044,
6113,6121,6150,6203,6230,6235,6297,6299,6301,6303,6309,6315,
6364,6366,6412,6664,6789,6910,6969,7346,7363,7447,7464,7591,
7608,7733,7736,7750,7776,7778,7779,7898,7908,7916,7936,7940,
8013,8022,8063,8068,8122,8123,8124,8129,8165,8202,8314,8368,
8443,8445,8624,8733,8734,8736,8741,8751,8756,8795,8798,8799,
8813,8814,8906,8907,8908,8909,8910,8912,8913,8915,8917,8918,
8920,8921,8924,8925,8935,8937,8975,8977,8978,8984,8993,9090,
9093,9095,9102,9108,9111,9785,9787,9788,9829,9830,9867,9911,
9946,10065,10075,10077,10110,10112,10135,10137,10148,10215,10221,
10331,10407,10425,10501,10749,10752,10756,10767,10869,10870,
10872,10877,10881,10887,10929,10930,10936,10937,11043,11045,
11046,11047,11052,11053,11061,11062,11068,11695,11714,11801,
11820,11823,11828,11829,11868,11869,11900,11910,11916,11919,
11921,12054,12088,12162,12164,12166,12333,12372,12409,12686,
12723,12760,12763,12764,12778,12779,12809,12810,12812,12815,
12819,12820,12822,12824,12827,12829,12835,12836,12837,12840,
12841,12844,12849,12850,12851,12900,12938,12939,12953,12955,
13096,13198,13200,13302,13304,13589,13593,13608,13609,13630,
13648,13654,13677,13679,13682,13687,13689,13699,13706,13711,
13731,13738,13770,13774,13777,13778,13780,13781,13782,13798,
13814,13873,13883,13887,13889,13910,13918,13920,13959,13960,
13967,13971,13979,13987,14083,14084,14088,14169,14174,14201,
14250,14258,14260,14261,14262,14344,14347,14350,14351,14352,
14355,14356,14357,14362,14363,14364,14537,14546,14551,14709,
14716,14719,15433,15440,15508,15511,15592,15601,15715,15758,
15759,15777,15784,15788,15887,15916,16419,16421,16422,16428,
16437,16534,16537,16539,16552,16555,16557,17229,17231,17232,
17273,17274,17306,17355,17391,17509,17519,17521,17554,17556,
17571,17581,17592,17659,17665,17775,17851,17863,17945,18247,
18250,18254,18266,18290,18313,18368,18407,18509,18511,18613,
18615,18896,18905,18909,18914,18948,18953,18957,18991,18994,
18995,18996,18997,19002,19006,19026,19029,19032,19079,19082,
19083,19086,19087,19090,19101,19102,19108,19146,19147,19150,
19257,19261,19262,19263,19268,19275,19299,19359,19361,19362,
19367,19371,19374,19378,19379,19383,19384,19385,19386,19425,
19454,19509,19537,19541,19545,19574,19580,19613,19696,19781,
19782,19795,19825,19834,19876,20602,20610,20637,20642,20645,
20656,20732,20773,20809,20911,21017,21021,21919,21935,22060,
22076,22148,22152,22195,22199,22205,22210,22232,22248,22254,
22266,22289,22295,22322,22350,22472,22483,22513,22518,22531,
22617,22815,22829,23149,23164,23168,23738,23751,23773,23787,
23862,23869,23873,23898,23903,23915,23982,24058,24157,24353,
25178,25196,25262,25277,25354,25358,25513,25539,25638,25642,
25730,25838,26296,26443,26608,26661,26751,27753,27758,27769,
27821,27986,28039,28129,29059,29060,29064,29069,29393,29408,
29412,29479,29482,29674,29678,29773,29777,30495,30500,30511,
30587,30640,30730,31706,31707,31710,31712,31893,31908,31912,
31979,31982,32174,32178,32273,32277,32896,32901,32912,32988,
33041,33131,34116,34169,34259,35278,35293,35297,35364,35367,
35559,35563,35658,35662,36232,36285,36375,37303,37318,37322,
37389,37392,37584,37588,37683,37687,38216,38223,38233,38256,
38269,38282,38287,38299,38300,38308,38314,38315,38316,38323,
38326,38327,38328,38340,38346,38366,38367,38387,38412,38415,
38423,38424,38428,38498,38507,38511,38516,38517,38519,38522,
38539,38540,38541,38542,38545,38546,38548,38549,38551,38552,
38553,38554,38576,38596,38603,38604,38607,38634,38645,38653,
38660,38664,38668,38669,38692,38694,38695,38746,38747,38749,
38753,38754,38805,38809,38810,38812,38815,38816,38819,38824,
38826,38828,38834,38835,38840,38841,38843,38844,38846,38847,
38848,38849,38851,38877,38883,38887,38890,38891,38895,38930,
38934,38987,38991,39000,39007,39012,39101,39112,39128,39132,
39174,39175,39185,39190,39211,39215,39218,39244,39249,39269,
39270,39281,39283,39290,39295,39297,39298,39305,39308,39309,
39310,39314,39318,39325,39331,39332,39351,39355,39362,39363,
39368,39401,39405,39406,39411,39415,39419,39420,39423,39441,
39443,39450,39458,39480,39503,39507,39521,39522,39539,39542,
39543,39545,39549,39550,39555,39557,39563,39567,39573,39626,
39628,39630,39649,39650,39652,39656,39716,39718,39720,39722,
39728,39729,39731,39743,39745,39746,39747,39749,39750,39751,
39753,39757,39758,39833,39837,39849,39856,39861,39868,39872,
39875,39876,39880,40004,40023,40032,40035,40076,40078,40087,
40092,40104,40105,40117,40118,40123,40124,40125,40126,40128,
40129,40133,40134,40166,40171,40214,40216,40227,40229,40230,
40246,40254,40255,40266,40267,40271,40272,40273,40275,40276,
40279,40280,40281,40283,40284,40291,40292,40297,40302,40303,
40320,40335,40337,40340,40341,40343,40344,40345,40347,40349,
40350,40352,40353,40360,40367,40370,40390,40391,40396,40398,
40422,40432,40440,40441,40445,40446,40453,40458,40462,40482,
40487,40488,40509,40514,40539,40541,40569,40576,40577,40578,
40579,40580,40581,40583,40584,40588,40589,40604,40605,40606,
40608,40610,40611,40613,40614,40618,40628,40632,40637,40638,
40654,40659,40684,40693,40699,40700,40701,40722,40736,40741,
40771,40792,40829,40834,40841,40846,40853,40855,40864,40865,
40896,40901,40921,40934,40950,40951,40979,41032,41034,41043,
41047,41050,41084,41092,41123,41124,41131,41139,41140,41151,
41155,41157,41161,41165,41169,41170,41173,41180,41181,41190,
41207,41208,41220,41223,41224,41226,41230,41231,41236,41238,
41243,41248,41249,41273,41278,41284,41306,41313,41324,41325,
41357,41360,41362,41364,41389,41397,41398,41401,41404,41409,
41423,41429,41438,41446,41450,41458,41482,41504,41513,41519,
41520,41521,41549,41552,41556,41558,41561,41675,41704,41713,
41721,41769,41770,41775,41776,41786,41787,41788,41807,41864,
41880,41881,41886,41902,41903,41908,41909,41910,41912,41913,
41914,41917,41918,41949,41950,41960,41961,41968,41969,41983,
42010,42011,42016,42018,42056,42058,42059,42076,42087,42089,
42092,42093,42104,42110,42113,42117,42132,42133,42137,42140,
42144,42159,42160,42169,42172,42173,42178,42179,42180,42181,
42183,42184,42188,42189,42200,42201,42202,42215,42219,42241,
42250,42251,42253,42254,42255,42256,42259,42261,42290,42291,
42292,42326,42327,42332,42333,42334,42336,42337,42338,42341,
42342,42348,42353,42355,42356,42361,42396,42402,42403,42404,
42407,42410,42411,42424,42476,42478,42484,42485,42492,42493,
42515,42519,42532,42534,42536,42556,42559,42565,42569,42612,
42629,42631,42643,42645,42646,42647,42649,42651,42653,42655,
42656,42657,42658,42659,42672,42681,42685,42690,42691,42693,
42697,42703,42707,42750,42758,42764,42769,42772,42774,42798,
42803,42805,42816,42817,42823,42828,42831,42833,42878,42881,
42883,42885,42886,42913,42915,42917,42919,42921,42925,42929,
42944,42950,42962,42964,42966,42970,42978,42988,42991,42995,
42997,43000,43003,43028,43030,43034,43040,43041,43042,43047,
43049,43091,43097,43121,43128,43133,43196,43217,43233,43242,
43303,43304,43305,43338,43344,43347,43366,43368,43375,43379,
43381,43393,43394,43438,43439,43443,43468,43470,43497,43498,
43502,43504,43529,43533,43581,43622,43628,43653,43736,43737,
43740,43745,43748,43928,43937,43969,43973,43977,43978,44001,
44013,44020,44022,44025,44026,44038,44044,44046,44048,44107,
44109,44112,44113,44127,44166,44168,44283,44286,44290,44298,
44306,44325,44354,44356,44357,44364,44369,44435,44575,44606,
44630,44635,44651,44659,44671,44728,44734,44749,44757,44793,
44796,44799,44822,44829,44830,44833,44877,44880,44882,44884,
44888,44943,44949,44955,44959,44981,44989,44990,44993,44996,
45001,45002,45024,45026,45027,45033,45039,45040,45041,45065,
45066,45070,45072,45074,45078,45082,45122,45126,45134,45138,
45144,45195,45218,45225,45241,45280,45288,45296,45297,45302,
45322,45325,45326,45329,45331,45358,45359,45369,45384,45417,
45424,45426,45444,45449,45451,45476,45516,45524,45525,45539,
45540,45542,45543,45545,45546,45547,45548,45553,45554,45565,
45588,45596,45628,45634,45635,45636,45648,45650,45652,45654,
45664,45665,45667,45668,45669,45671,45672,45673,45676,45677,
45705,45729,45750,45758,45763,45771,45788,45790,45799,45800,
45831,45836,45857,45863,45865,45867,45905,45913,45915,45916,
45921,45925,45946,45951,45958,45960,45980,45984,46006,46007,
46009,46013,46017,46088,46092,46094,46100,46101,46102,46104,
46106,46107,46109,46110,46117,46119,46145,46147,46149,46151,
46157,46190,46194,46202,46204,46207,46211,46219,46221,46223,
46226,46229,46230,46233,46238,46262,46266,46274,46295,46299,
46361,46374,46381,46392,46477,46480,46564,46622,46627,46639,
46668,46670,46674,46680,46710,46716,46720,46723,46724,46728,
46751,46902,46909,46943,46944,46951,46952,46968,46973,46976,
46979,47029,47034,47061,47100,47108,47110,47116,47119,47126,
47127,47132,47134,47135,47149,47161,47167,47169,47173,47174,
47179,47181,47186,47187,47204,47206,47209,47243,47254,47262,
47294,47295,47296,47298,47306,47307,47310,47311,47334,47342,
47359,47367,47369,47376,47386,47414,47415,47420,47559,47626,
47628,47630,47634,47638,47646,47674,47711,47715,47719,47727,
47840,47886,47937,48020,48026,48028,48030,48034,48114,48153,
48157,48304,48313,48339,48398,48425,48426,48430,48431,48437,
48439,48467,48469,48471,48477,48481,48513,48524,48702,48718,
48807,48813,49060,49104,49249,49253,49421,49450,49478,49479,
49483,49489,49529,49567,49569,49574,49578,49588,49606,49607,
49610,49733,49744,49758,49765,49803,49830,49836,49852,49858,
49866,49869,49870,49871,49872,49905,49907,49912,49918,49930,
49978,49990,49991,50004,50056,50058,50064,50065,50072,50073,
50182,50309,50320,50403,50407,50438,50453,50454,50455,50471,
50472,50488,50562,50573,50593,50602,50634,50638,50789,50834,
50856,50875,50876,50883,50887,50901,50949,50960,50961,50974,
51020,51021,51029,51062,51063,51064,51193,51204,51364,51375,
51387,51403,51542,51549,51655,51701,51785,51816,51901,51917,
51986,52030,52073,52107,52131,52172] ),
#############################################################################
##
#S Data included from other files. /////////////////////////////////////////
##
#############################################################################
equalityclasses :=
ReadAsFunction(Concatenation(PackageInfo("rcwa")[1].InstallationPath,
"/data/3ctsgroups6/equalityclasses.g"))(),
samegroups :=
ReadAsFunction(Concatenation(PackageInfo("rcwa")[1].InstallationPath,
"/data/3ctsgroups6/samegroups.g"))(),
conjugacyclasses :=
ReadAsFunction(Concatenation(PackageInfo("rcwa")[1].InstallationPath,
"/data/3ctsgroups6/conjugacyclasses.g"))(),
subgroups :=
ReadAsFunction(Concatenation(PackageInfo("rcwa")[1].InstallationPath,
"/data/3ctsgroups6/subgroups.g"))(),
supergroups :=
ReadAsFunction(Concatenation(PackageInfo("rcwa")[1].InstallationPath,
"/data/3ctsgroups6/supergroups.g"))(),
chains :=
ReadAsFunction(Concatenation(PackageInfo("rcwa")[1].InstallationPath,
"/data/3ctsgroups6/chains.g"))(),
partitionlengths :=
ReadAsFunction(Concatenation(PackageInfo("rcwa")[1].InstallationPath,
"/data/3ctsgroups6/partitionlengths.g"))(),
degrees :=
ReadAsFunction(Concatenation(PackageInfo("rcwa")[1].InstallationPath,
"/data/3ctsgroups6/degrees.g"))(),
orbitlengths :=
ReadAsFunction(Concatenation(PackageInfo("rcwa")[1].InstallationPath,
"/data/3ctsgroups6/orbitlengths.g"))(),
permgroupgens :=
ReadAsFunction(Concatenation(PackageInfo("rcwa")[1].InstallationPath,
"/data/3ctsgroups6/permgroupgens.g"))(),
respectedpartitions :=
ReadAsFunction(Concatenation(PackageInfo("rcwa")[1].InstallationPath,
"/data/3ctsgroups6/respectedpartitions.g"))(),
intransitivemodulo :=
ReadAsFunction(Concatenation(PackageInfo("rcwa")[1].InstallationPath,
"/data/3ctsgroups6/intransitivemodulo.g"))(),
finiteorbits := ReadAsFunction(
Concatenation(PackageInfo("rcwa")[1].InstallationPath,
"/data/3ctsgroups6/finite-orbits.g"))(),
shortresidueclassorbitlengths :=
ReadAsFunction(Concatenation(PackageInfo("rcwa")[1].InstallationPath,
"/data/3ctsgroups6/residueclassorbitlengths.g"))(),
cyclist :=
ReadAsFunction(Concatenation(PackageInfo("rcwa")[1].InstallationPath,
"/data/3ctsgroups6/spheresizecycles.g"))(),
trsstatusset :=
[ "> 1 orbit (mod m)", "Mod(U DecreasingOn) exceeded <maxmod>",
"U DecreasingOn stable for <maxeq> steps", "exceeded memory bound",
"finite", "transitive up to one finite orbit", "transitive",
"transitivity on small points unclear",
"intransitive, but finitely many orbits",
"seemingly only finite orbits (very short)",
"seemingly only finite orbits (short)",
"seemingly only finite orbits (medium)",
"seemingly only finite orbits (long)",
"seemingly only finite orbits (very long)",
"there are infinite orbits which have linear sphere size growth",
"there are infinite orbits which have exponential sphere size growth",
"U DecreasingOn stable and exceeded memory bound",
"there are infinite orbits which have unclear sphere size growth",
"seemingly only finite orbits (very long, very unclear)",
"there are infinite orbits which have bounded sphere sizes",
"there are infinite orbits which have quadratic sphere size growth" ],
trsstatuspos :=
ReadAsFunction(Concatenation(PackageInfo("rcwa")[1].InstallationPath,
"/data/3ctsgroups6/trsstatuspos.g"))(),
trsstatus := List(~.trsstatuspos,i->~.trsstatusset[i]),
orbitgrowthtype :=
ReadAsFunction(Concatenation(PackageInfo("rcwa")[1].InstallationPath,
"/data/3ctsgroups6/orbitgrowthtype.g"))(),
minwordlengthnonbalanced :=
ReadAsFunction(Concatenation(PackageInfo("rcwa")[1].InstallationPath,
"/data/3ctsgroups6/minwordlengthnonbalanced.g"))(),
minwordlengthcoprimemultdiv :=
ReadAsFunction(Concatenation(PackageInfo("rcwa")[1].InstallationPath,
"/data/3ctsgroups6/minwordlengthcoprimemultdiv.g"))(),
epifromfpgrouptocollatzgroup_c :=
ReadAsFunction(Concatenation(PackageInfo("rcwa")[1].InstallationPath,
"/data/3ctsgroups6/epifromfpgrouptocollatzgroup_c.g"))(),
epifromfpgrouptocollatzgroup_t :=
ReadAsFunction(Concatenation(PackageInfo("rcwa")[1].InstallationPath,
"/data/3ctsgroups6/epifromfpgrouptocollatzgroup_t.g"))(),
epifromfpgroupto_ct23z :=
ReadAsFunction(Concatenation(PackageInfo("rcwa")[1].InstallationPath,
"/data/3ctsgroups6/epifromfpgroupto_ct23z.g"))(),
refinementseqlngs :=
ReadAsFunction(Concatenation(PackageInfo("rcwa")[1].InstallationPath,
"/data/3ctsgroups6/refinementseqlngs.g"))()
);
#############################################################################
##
#E database.g . . . . . . . . . . . . . . . . . . . . . . . . . . ends here