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 <cstdio>
int main(){
 int i,j,w,h;
 while(true) {
  scanf("%d %d",&h,&w);
  if ((h==0)&&(w==0)) break;
  while(h>0){
   for(i=0;i<w;i++){
    printf("#");
   };
   printf("\n");
   --h;
  }
  printf("\n");
 };
 return 0;
};