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())
cnt = 0
chk = [[False]*n for j in range(n)]
for i in range(n):
    dt = input()
    for j in range(n):
        if chk[i][j] == True:
            if dt[j] != '#':
                cnt = 1
                break
        if dt[j] == '#':
            cnt += 1
            if chk[i][j] == False:
                try:
                    chk[i][j] = True
                    chk[i+1][j] = True
                    chk[i+1][j - 1] = True
                    chk[i+1][j + 1] = True
                    chk[i+2][j] = True
                except Exception as e:
                    cnt = 1
                    break

# print(cnt)
if cnt%5 == 0:
    print('YES')
else:
    print('NO')

# 4
# .#...
# ####.
# .####
# ....#