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:
import sys

def main():
    lines = sys.stdin.readlines()

    for line in lines:
        if len(line) == 0:
            continue
        # print(line)
        # rm '\n' from string of a line
        line = line.strip('\n')
        elems = line.split(" ")
        # print elems
        if elems[0] == "0" or elems[1] == "0":
            continue
        for height_ind in range(int(elems[0])):
            width_str = ""
            for width_ind in range(int(elems[1])):
                width_str = width_str + "#"
            print width_str
        print("")

if __name__ == "__main__":
    main()