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