返回题库

24/7

Twenty Four Seven

专题
Discrete Math / 离散数学
难度
L6

题目详情

The grid is incomplete. Place numbers in some of the empty cells above so that
in total the grid contains one 1, two 2’s, etc., up to seven 7’s. Furthermore,
each row and column must contain exactly 4 numbers which sum to 20. Finally, the
numbered cells must form a connected region, but every 2-by-2 subsquare in the
completed grid must contain at least one empty cell.

The answer to this puzzle is the product of the areas of the connected groups of
orthogonally adjacent empty squares in the completed grid.

英文原题

The grid is incomplete. Place numbers in some of the empty cells above so that in total the grid contains one 1, two 2’s, etc., up to seven 7’s. Furthermore, each row and column must contain exactly 4 numbers which sum to 20. Finally, the numbered cells must form a connected region, but every 2-by-2 subsquare in the completed grid must contain at least one empty cell.

The answer to this puzzle is the product of the areas of the connected groups of orthogonally adjacent empty squares in the completed grid.

解析


英文解析

The completed grid is shown above. The product of the areas of the regions of blank squares is 240.

Congrats to everyone who solved this month’s puzzle!