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