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 '#'.



t=[]

n = int(input())


for j in range(n):
    y=  list(input())

    t.append(y)


for i in range(1,n-1):
    for j in range(1,n-1):

        if t[i][j]=='#' and t[i+1][j]=='#' and t[i-1][j]=='#'and t[i][j+1]=='#'and t[i][j-1]=='#':
            t[i][j]='a'
            t[i+1][j]='a'
            t[i-1][j]='a'
            t[i][j+1]='a'
            t[i][j-1]='a'
h=0
for i in t:
  

    if '#' in i:
        print('NO')
        h+=1
        break

if h==0:
    print('YES')
