瓷砖麻烦
Tile and Trouble
题目详情
Add square tiles to the 12-by-12 grid so that the total points in each row and
each column matches the corresponding value outside the grid.
A tile can have any side length (e.g., 1-by-1, 2-by-2, 3-by-3, etc.)
Every cell within an n-by-n tile is worth n points.
Tiles may not overlap. Not every cell in the 12-by-12 grid needs to be inside
one of the tiles.
For your answer, submit the product of the areas of each contiguous empty
space in the solved grid.
英文原题
Add square tiles to the 12-by-12 grid so that the total points in each row and each column matches the corresponding value outside the grid.
- A tile can have any side length (e.g., 1-by-1, 2-by-2, 3-by-3, etc.)
- Every cell within an n-by-n tile is worth n points.
- Tiles may not overlap. Not every cell in the 12-by-12 grid needs to be inside one of the tiles.
- For your answer, submit the product of the areas of each contiguous empty space in the solved grid.
解析
英文解析
The completed grid is shown above; the product of the areas of the empty regions is 20160.
Congratulations to Katie Rue, this month’s randomly chosen winner, and recipient of a Jane Street t-shirt!