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())
L=[input() for i in range(n)]
L1=[[0 for i in range(n)] for j in range(n)]
try :
    for i in range(n) :
        for j in range(n) :
            if L[i][j]=="#" and L1[i][j]==0 :
                if L1[i+1][j]==L1[i+2][j]==L1[i+1][j+1]==L1[i+1][j-1]==0 :
                    L1[i+1][j]=L1[i+2][j]=L1[i+1][j+1]=L1[i+1][j-1]=1
                else :
                    print("NO")
                    exit()
except :
    print("NO")
    exit()
print("YES")
                    
                    
                
