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 '#'.
import sys
lis = list()
n = int (input())
for i in range (n) :
    lis.append (list (input()))
for line in range (1, n - 1) :
    for j in range (1, n - 1) :
        if lis[line][j] == '#' and\
            (lis[line + 1][j] == '#') and (lis[line - 1][j] == '#') and \
            (lis[line][j + 1] == '#') and (lis[line][j - 1] == '#') :
            lis[line][j] = '.'
            lis[line + 1][j] = '.'
            lis[line - 1][j] = '.'
            lis[line][j + 1] = '.'
            lis[line][j - 1] = '.'
for i in lis :
    for j in i :
        if j == '#' :
            print ("NO")
            sys.exit()
print ('YES')
