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 '#'.
grid = []
yes = True
size = int(input())
for x in range(size):
    grid.append(list(input()))
for y in range(size):
    if not yes:
        break
    for x in range(size):
        if grid[y][x] == "#":
            if x == 0 or x == size-1 or y >= size-2:
                print("NO")
                yes = False
                break
            if grid[y+1][x-1] == "." or grid[y+1][x] == "." or grid[y+1][x+1] == "." or grid[y+2][x] == ".":
                print("NO")
                yes = False
                break
            else:
                grid[y+1][x-1] = "."
                grid[y+1][x] = "."
                grid[y+1][x+1] = "."
                grid[y+2][x] = "."
if yes:
    print("YES")