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Challenge 5: 3 piles of stones

There are three piles of stones with 10, 15 and 25 stones. At each turn, a player can choose one of the piles and divide it into two smaller piles. The loser is the player who cannot make a move. Who will win, and how?

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What students worked out2

  • Student 3

    for 3 piles
    single pile strategy will work

    even numbers together first person will win
    odd numbers together second will win

  • Student 4

    the first will win