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())
res = "YES"
c = []
for i in range(n):
    c.append(['.'])
    r = input()
    for C in r:
        c[i].append(C)
for i in range(n):
    for j in range(n + 1):
        if(c[i][j] == '#'):
            if(i >= n - 2 or j == n):
                res = "NO"
                continue
            if(c[i + 1][j] == '.' or c[i + 1][j - 1] == '.' or c[i + 1][j + 1] == '.'):
                res = "NO"
                continue
            if(c[i + 2][j] == '.'):
                res = "NO"
            c[i][j] = '.'
            c[i + 1][j] = '.'
            c[i + 2][j] = '.'
            c[i + 1][j - 1] = '.'
            c[i + 1][j + 1] = '.'
print(res)
