# Problem 310: Nim Square
Alice and Bob play the game Nim Square. Nim Square is just like ordinary
three-heap normal play Nim, but the players may only remove a square
number of stones from a heap. The number of stones in the three heaps is
represented by the ordered triple (a,b,c). If 0≤a≤b≤c≤29 then the number
of losing positions for the next player is 1160. Find the number of
losing positions for the next player if 0≤a≤b≤c≤100 000.