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:
//itp1_topic1_a
#include <bits/stdc++.h>
using namespace std;

int main(){
 while(1){
 int H,W;
 cin >>H>>W;
 if(H ==0 && W==0)break;
 for(int i=0;i<H;i++){
 for(int i=0;i<W;i++){
 
 cout<<"#";
 }
cout<<endl;
}
cout<<endl;
}

}