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