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 a,b,x,y;
	while(1){
		scanf("%d %d",&x,&y);
		if(x==0&&y==0)break;
		for(b=1;b<=x;b++){
		    for(a=1;a<=y;a++){
			    printf("#");
		    }
			printf("\n");
		}
		printf("\n");
	}
			
	return 0;
}