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 '#'.
def main(n):
    for i in range(n):
        for j in range(n):
            if list[i][j]=="#":
                list[i][j]='.'
                if list[i+1][j]!='.' and list[i+2][j]!='.' and list[i+1][j+1]!='.' and list[i+1][j-1]!='.':
                    list[i+1][j]='.'
                    list[i+2][j]='.'
                    list[i+1][j+1]='.'
                    list[i+1][j-1]='.'
                else:
                    return "NO"
    return "YES"



n = int(input())
list=[]
for i in range(n):
    list.append([i for i in input()])

print(main(n))