Difference between revisions of "2025 IMO Problems/Problem 6"
Solvingmaths (talk | contribs) (Created page with "Consider a 2025 x 2025 grid of unit squares. Matlida wishes to place on the grid some rectangular tiles, possibly of different sizes, such that each side of every tile lies on...") |
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Determine the minimum number of tiles Matlida needs to place so that each row and each column of the grid has exactly one unit square that is not covered by any tile. | Determine the minimum number of tiles Matlida needs to place so that each row and each column of the grid has exactly one unit square that is not covered by any tile. | ||
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| + | ==Video Solution== | ||
| + | https://www.youtube.com/watch?v=fgXg9CdCDcs | ||
Revision as of 05:17, 17 July 2025
Consider a 2025 x 2025 grid of unit squares. Matlida wishes to place on the grid some rectangular tiles, possibly of different sizes, such that each side of every tile lies on a grid line and every unit square is covered by at most one tile.
Determine the minimum number of tiles Matlida needs to place so that each row and each column of the grid has exactly one unit square that is not covered by any tile.
