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(void){
int H,W,i,j;
do {
scanf("%d%d",&H,&W);
if(H!=0||W!=0){
for(i=1;i<=H;i++){
for(j=1;j<=W;j++){
printf("#");}
printf("\n");}
printf("\n");}
}while(H!=0||W!=0);
return 0;
}