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It was my initial thought as well but that assumes P1 decides to be greedy and reduce the T1 (of 2 towers) by 5 i.e. P1 takes 2nd option of their example:
*There are 2 towers, each 6 units tall. Player 1 has a choice of two moves:
- remove 3 pieces from a tower to leave 3 as 6 modulo 3 = 0
- remove 5 pieces to leave 1 *
However if P1 reduce T1 by only 3 and P2 is greedy and reduce T2 by 5. P1 gets to reduce T1 by 2. P2 can't make a move and loses. Greed != Win :)
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Tower Breakers
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It was my initial thought as well but that assumes P1 decides to be greedy and reduce the T1 (of 2 towers) by 5 i.e. P1 takes 2nd option of their example: *There are 2 towers, each 6 units tall. Player 1 has a choice of two moves: - remove 3 pieces from a tower to leave 3 as 6 modulo 3 = 0 - remove 5 pieces to leave 1 *
However if P1 reduce T1 by only 3 and P2 is greedy and reduce T2 by 5. P1 gets to reduce T1 by 2. P2 can't make a move and loses. Greed != Win :)