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;scanf("%d%d",&h,&w);while((h!=0)||(w!=0)){while(h-->0){for(i=0;i<w;++i){printf("#");}puts("");}puts("");scanf("%d%d",&h,&w);}return(0);}