首先 $m\ge n$ 因为总面积故无解。
经过检验，通过如下基础构造和一些调整，将可以生成所有 $m=n-1$ 的解：
#.#.#.#.#.# .#..#.#.#.# ###.#.#.#.# ...#..#.#.# #####.#.#.# .....#..#.# #######.#.# .......#..# #########.# .........#. ###########
要求 $n$ 是奇数
在基础构造的基础上，去除右下角，可以得到 $n$ 奇数的解。在基础构造的基础上，去除第一行第一列，可以得到 $n$ 是偶数的解。
对于 $m\le n-2$，通过每次交替删除最右边的一列和最下边的一列 '#'，可以生成所有情况。
svg:
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