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<bits/stdc++.h>
using namespace std;
 
signed main(){
  int a,b;
  while(scanf("%d%d",&a,&b),a||b){
      for(int c=0;c<a;c++){
	  for(int d=0;d<b;d++){
	      printf("#");
	      }
	      printf("\n");
	  }
	  printf("\n");
      }
}