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<stdio.h>
int main(){
  int n,m,i,j;
  while(1){
    scanf("%d %d",&n,&m);
    if(n==0&&m==0) break;
    for(i=0;i<n;i++){
      for(j=0;j<m;j++){
	printf("#");
      }
      printf("\n");
    }
    printf("\n");
  }
  return(0);
}