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<iostream>
using namespace std;

int h,w;

int main(){
 while(true){
  cin>>h>>w;
  if(h==0&&w==0){
   break;
  }
  for(int j=0;j<h;j++){
   for( int i=0;i<w;i++){
    cout<<"#";
   }
   cout<<endl;
  }
  cout<<endl;
 }
}