can anyone tell how to detect cycles in the game of nim ?
for eg. if there are x coins, and two players are taking out coins
alternatively, such that the one who has no choice loses........... and the
number of coins allowed to take in one go are {2, 4, 5}, then the whole
cycle is repeating after 7... for 1st player --
result - L W W W W W L | L W W W W W L | L W W W ....
coins - 1 2 3 4 5 6 7 8 9 10 11 12 13 14 .......
similarly for choices {3, 5}
i am getting a cycle of length 8...
how would i come to know as to when it will start repeating ?
Disclaimer : not my question, copied from net
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