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 a, b;

  while (cin >> a, cin >> b, a or b) {
    for (int i=0; i<a; ++i) {
      for (int j=0; j<b; ++j)
        cout << "#";
      cout << endl;
    }
    cout << endl;
  }
}