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()))
for i in range(1, n-1):
    if mark == 1:
        break
    for j in range(1, n-1):
        if Matrix[i-1][j-1] == '.' and Matrix[i-1][j+1] == '.' and Matrix[i+1][j-1] == '.' and Matrix[i+1][j+1] == '.':
            print("YES")
            mark = 1
            break
if mark == 0:
    print("NO")

 					  		 			    				  		  		