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 H,W;
int i,j;
for(;;)
{
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");
}
else
{
break;
}
}
return 0;
}