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())
al = []
sl = set()
for i in range(n):
    al.append(list(input()))
for i in range(n-2):
    for j in range(1, n-1):
        if al[i][j]==al[i+1][j]==al[i+1][j-1]==al[i+1][j+1]==al[i+2][j]=="#":
            al[i][j]=al[i+1][j]=al[i+1][j-1]=al[i+1][j+1]=al[i+2][j]="."
for i in range(n):
    sl=sl.union(set(al[i]))
if len(sl)==1:
    print("YES")    
else:
    print("NO")