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())
a=[]
b=[[0]*n for i in range(n)]
for i in range(n):
    a.append(input().strip())
c=0
for i in range(n):
    for j in range(n):
        if a[i][j]=='#':
            c+=1
        if a[i][j]=='#' and b[i][j]==0 and 0<i<n-1 and 0<j<n-1:
            b[i-1][j]=1
            b[i+1][j]=1
            b[i][j+1]=1
            b[i][j-1]=1
            c-=4
if c==0:
    print('YES')
else:
    print('NO')