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 CPP):

Solution:
#include<iostream>
#include<cstdio>

int main()
{
  int a, b;
  while(std::cin >> a >> b, a + b != 0 ){
  for(int i = 0 ; i < a;  i++) {
  for(int j = 0;  j < b ; j++) {
  printf("#");
  }
  printf("\n");
  }
  printf("\n");}
}