olymmath

HMMT 2024 C2

  • Combinatorics
  • Answer

A lame king is a chess piece that can move from a cell to any cell that shares at least one vertex with it, except for the cells in the same column as the current cell. A lame king is placed in the top-left cell of a 7×77 \times 7 grid. Compute the maximum number of cells it can visit without visiting the same cell twice (including its starting cell).

Dataset text NuminaMath olympiads. Quoted with source.

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