def mate(puztuple):
puza = puztuple[0]
puzb = puztuple[1]
distsa = puza.distances
distsb = puzb.distances
movesa = puza.movenums
movesb = puzb.movenums
n = puza.n
outmoves = {}
for x in range(1, n + 1):
for y in range(1, n + 1):
if (distsa[(x, y)] > distsb[(x, y)]):
outmoves[(x, y)] = movesa[(x, y)]
else:
outmoves[(x, y)] = movesb[(x, y)]
babypuz = Puzzle(n)
babypuz.movenums = outmoves
babypuz.calculatemindistances()
babypuz.evaluate()
return babypuz
