Like poison chocolate...

The coin can only be moved up, left, or diagonally up-and-left.

The coin can only be moved up, left, or diagonally up-and-left.

Charlie and Tracy are playing a game on a \(5 \times 3\) grid with a coin in its lower right corner. The rules are as follows:

  • Charlie goes first, then they take turns moving the coin.
  • The coin can only be moved one space up, left, or diagonally up-and-left.
  • The first one to move the coin to the upper left corner wins.

If both play optimally, who will always win?

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