Heidi and Victor have a \(2 \times 3\) chocolate bar shown below:

To decide who gets the chocolate, they play a turn-based game, without changing the \(2 \times 3\) rectangular configuration of the chocolate bar:

  • In Heidi's turn, Heidi breaks any of the pieces along a horizontal line.
  • In Victor's turn, Victor breaks any of the pieces along a vertical line.
  • Whoever runs out of moves first loses.

Assuming that both Heidi and Victor play optimally, who wins or loses the game?

Inspired by the book Winning Ways for your Mathematical Plays

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