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>
#define REP(i,n) for(int i=0;i<n;i++)
using namespace std;

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