Problem: Draw a rectangle which has a height of H cm and a width of W cm. Draw a 1-cm square by single '#'.

Constraints

* 1 ≤ H ≤ 300
* 1 ≤ W ≤ 300

Input

The input consists of multiple datasets. Each dataset consists of two integers H and W separated by a single space.

The input ends with two 0 (when both H and W are zero).

Output

For each dataset, print the rectangle made of H × W '#'.

Print a blank line after each dataset.

Example

Input

3 4
5 6
2 2
0 0


Output

####
####
####

######
######
######
######
######

##
##

Solution (in PYTHON):

Solution:
#coding:utf-8
#????????¢?????????

def draw_square(h, w):
    for i in range(h):
        a = ""
        for j in range(w):
            a += "#"
        print a

while 1:
    HW = raw_input().split()
    H = int(HW[0])
    W = int(HW[1])

    if H == 0 and W == 0:
        break

    draw_square(H, W)
    print ""