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())
li = []
for i in range(n):
    l = input()
    s = []
    for i in l: s.append(i)
    li.append(s)
count = 0
for i in li:
    for j in i:
        if j == "#":
            count +=1
yes = True
if count%5!=0:
    print("NO")
else: 
    for i in range(n):
        for j in range(n):
            if li[i][j]=="#":
                try:
                    li[i][j] = li[i+1][j] = li[i+2][j] = li[i+1][j+1] = li[i+1][j-1] = "."
                except:
                    yes = False
    for i in li:
        if "#" in i:
            yes = False
    if yes: print("YES")
    else: print("NO")
