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(void) {
int h, w, i, j;
scanf("%d %d", &h, &w);
while( h != 0 && w != 0 ) {
for(i = 0; i < h; ++i ) {
for(j = 0; j < w; ++j ) {
putchar('#');
}
putchar('\n');
}
putchar('\n');
scanf("%d %d", &h, &w);
}
return 0;
}