返回题库

巧克力香蕉

Choco Banana

专题
Discrete Math / 离散数学
难度
L6

题目详情

If we shade a subset of the cells in the above grid, we partition the
cells into orthogonally connected regions of shaded and unshaded
cells. The goal of this puzzle is to shade the cells so that

all regions of shaded cells are rectangular,
all regions of unshaded cells are not rectangular, and
all number clues in the grid give the size of the region (shaded or
unshaded) that the clue is in.

The answer to this puzzle is the product of the number of unshaded
cells in each row.

Below the grid is a smaller example puzzle with solution and answer
extraction.

英文原题

If we shade a subset of the cells in the above grid, we partition the cells into orthogonally connected regions of shaded and unshaded cells. The goal of this puzzle is to shade the cells so that

  • all regions of shaded cells are rectangular,
  • all regions of unshaded cells are not rectangular, and
  • all number clues in the grid give the size of the region (shaded or unshaded) that the clue is in.

The answer to this puzzle is the product of the number of unshaded cells in each row.

Below the grid is a smaller example puzzle with solution and answer extraction.

解析


英文解析

The above image shows the shaded regions that satisfy the requirements. The rows have unshaded cell counts 15, 6, 12, 9, 11, 12, 11, 7, 8, 16, 8, and 8 which multiply to 809321103360.

Congrats to this month’s solvers who successfully completed the puzzle!