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Omni-MATH / A natural number is written in each cell of an 8×8 board. It turned out that for any tiling of the board with dominoes, the sum of numbers in the cells of each domino is different.…
Problem
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problem
A natural number is written in each cell of an board. It turned out that for any tiling of the board with dominoes, the sum of numbers in the cells of each domino is different. Can it happen that the largest number on the board is no greater than ?
Plain-text mathematical notation (without MathML)
A natural number is written in each cell of an 8×8 board. It turned out that for any tiling of the board with dominoes, the sum of numbers in the cells of each domino is different. Can it happen that the largest number on the board is no greater than 32?
Original LaTeX notation
A natural number is written in each cell of an $8 \times 8$ board. It turned out that for any tiling of the board with dominoes, the sum of numbers in the cells of each domino is different. Can it happen that the largest number on the board is no greater than $32$?
Discussion
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Source and history
- task_id
5c1d61a0-8ea3-550d-be31-cec562766474- task_key
test--5c1d61a0-8ea3-550d-be31-cec562766474- task_revision_id
- 1
- config / split
- / test
initial import