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 H,W,i,j,k;
  while(1){
  scanf("%d%d",&H,&W);
  if(H==0&&W==0) break;
  

  for(k=0;k<H;k++){
    for(j=0;j<W;j++){
      printf("#");
     }
     printf("\n");
   }
  printf("\n");
 }
  return 0;
}