Problem Statement

We have a canvas divided into a grid with $H$ rows and $W$ columns. The square at the $i$-th row from the top and the $j$-th column from the left is represented as $(i, j)$.
Initially, all the squares are white. square1001 wants to draw a picture with black paint. His specific objective is to make Square $(i, j)$ black when $s_{i, j}=$ #, and to make Square $(i, j)$ white when $s_{i, j}=$ ..
However, since he is not a good painter, he can only choose two squares that are horizontally or vertically adjacent and paint those squares black, for some number of times (possibly zero). He may choose squares that are already painted black, in which case the color of those squares remain black.
Determine if square1001 can achieve his objective.

Constraints

• $H$ is an integer between $1$ and $50$ (inclusive).
• $W$ is an integer between $1$ and $50$ (inclusive).
• For every $(i, j)$ $(1 \leq i \leq H, 1 \leq j \leq W)$, $s_{i, j}$ is # or ..

Sample Input 1Copy

3 3
.#.
###
.#.

Sample Output 1Copy

Yes

One possible way to achieve the objective is shown in the figure below. Here, the squares being painted are marked by stars.

Sample Input 2Copy

5 5
#.#.#
.#.#.
#.#.#
.#.#.
#.#.#

Sample Output 2Copy

No

square1001 cannot achieve his objective here.

Sample Input 3Copy

11 11
...#####...
.##.....##.
#..##.##..#
#..##.##..#
#.........#
#...###...#
.#########.
.#.#.#.#.#.
##.#.#.#.##
..##.#.##..
.##..#..##.

Sample Output 3Copy

Yes