A Pebble Game
Problem
Two players take turns removing pebbles from a pile of ; each turn removes , , or pebbles, and play ends when the pile is empty. The player who has taken an odd total number of pebbles wins. Does either player have a winning strategy? Justify your answer.
Answer
Solution
| Difficulty | 8/10 |
|---|---|
| Topics | combinatorics, Induction, Casework |
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