Fox Ciel has a board with *n* rows and *n* columns. So, the board consists of *n* × *n* cells. Each cell contains either a symbol '.', or a symbol '#'.

A cross on the board is a connected set of exactly five cells of the board that looks like a cross. The picture below shows how it looks.

Ciel wants to draw several (may be zero) crosses on the board. Each cross must cover exactly five cells with symbols '#', and any cell with symbol '#' must belong to some cross. No two crosses can share a cell.

Please, tell Ciel if she can draw the crosses in the described way.
The first line contains an integer *n* (3 ≤ *n* ≤ 100) — the size of the board.

Each of the next *n* lines describes one row of the board. The *i*-th line describes the *i*-th row of the board and consists of *n* characters. Each character is either a symbol '.', or a symbol '#'.
n = int(input())
Matrix = []
mark = 0
for _ in range(n):
    Matrix.append(list(input()))

if Matrix[0][0] == '#' or Matrix[0][n-1] == '#' or Matrix[n-1][0] == '#' or Matrix[n-1][n-1] == '#':
    mark = 1
for i in range(n):
    if mark == 1:
        break
    for j in range(n):
        if Matrix[i][j] == '#':
            if i == 0:
                if Matrix[i+1][j-1] == '#' and Matrix[i+1][j] == '#' and Matrix[i+1][j+1] == '#' and Matrix[i+2][j] == '#':
                    Matrix[i][j], Matrix[i + 1][j - 1], Matrix[i+1][j], Matrix[i+1][j+1], Matrix[i+2][j] = '.', '.', '.', '.', '.'
                    continue
            elif i == n:
                if Matrix[i-1][j-1] == '#' and Matrix[i-1][j] == '#' and Matrix[i-1][j+1] == '#' and Matrix[i-2][j] == '#':
                    Matrix[i][j], Matrix[i - 1][j - 1], Matrix[i-1][j], Matrix[i-1][j+1], Matrix[i-2][j] = '.', '.', '.', '.', '.'
                    continue
            elif j == 0:
                if Matrix[i-1][j+1] == '#' and Matrix[i][j+1] == '#' and Matrix[i+1][j+1] == '#' and Matrix[i][j+2] == '#':
                    Matrix[i][j], Matrix[i - 1][j + 1], Matrix[i][j+1], Matrix[i+1][j+1], Matrix[i][j+2] = '.', '.', '.', '.', '.'
                    continue
            elif j == n:
                if Matrix[i-1][j-1] == '#' and Matrix[i][j-1] == '#' and Matrix[i+1][j-1] == '#' and Matrix[i][j-2] == '#':
                    Matrix[i][j], Matrix[i - 1][j - 1], Matrix[i][j-1], Matrix[i+1][j-1], Matrix[i][j-2] = '.', '.', '.', '.', '.'
                    continue

            elif Matrix[i+1][j-1] == '#' and Matrix[i+1][j] == '#' and Matrix[i+1][j+1] == '#' and Matrix[i+2][j] == '#':
                Matrix[i][j], Matrix[i + 1][j - 1], Matrix[i+1][j], Matrix[i+1][j+1], Matrix[i+2][j] = '.', '.', '.', '.', '.'
                continue

            elif Matrix[i-1][j+1] == '#' and Matrix[i][j+1] == '#' and Matrix[i+1][j+1] == '#' and Matrix[i][j+2] == '#':
                Matrix[i][j], Matrix[i - 1][j + 1], Matrix[i][j + 1], Matrix[i + 1][j + 1], Matrix[i][j + 2] = '.', '.', '.', '.', '.'
                continue

            else:
                mark = 1
                break

if mark == 1:
    print("NO")
else:
    print("YES")




 					  		 		 			     	    		