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Omni-MATH / The integers 1,2,…,64 are written in the squares of a 8×8 chess board, such that for each 1≤i<64, the numbers i and i+1 are in squares that share an edge. What is the largest possi…

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problem

The integers 1,2,…,641,2, \ldots, 64 are written in the squares of a 8×88 \times 8 chess board, such that for each 1≤i<641 \leq i<64, the numbers ii and i+1i+1 are in squares that share an edge. What is the largest possible sum that can appear along one of the diagonals?
Plain-text mathematical notation (without MathML)
The integers 1,2,…,64 are written in the squares of a 8×8 chess board, such that for each 1≤i<64, the numbers i and i+1 are in squares that share an edge. What is the largest possible sum that can appear along one of the diagonals?
Original LaTeX notation
The integers $1,2, \ldots, 64$ are written in the squares of a $8 \times 8$ chess board, such that for each $1 \leq i<64$, the numbers $i$ and $i+1$ are in squares that share an edge. What is the largest possible sum that can appear along one of the diagonals?

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