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>
using namespace std;
int main(){
 int w,h;

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