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 0abc29 then the number of losing positions for the next player is 1160.

Find the number of losing positions for the next player if 0abc100 000.

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These problems are part of
Project Euler
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