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 = 5;
while(1) {
cin >>a >>b;
if (a == 0 && b == 0) {
break;
}
for (int i = 0; i < a; i++) {
for (int j = 0; j < b; j++) {
cout << "#";
}cout <<endl;
}cout << endl;
}return 0;
}