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 x,y;
for(int a=1;a<=10000;a++)
{cin >> x >> y;
if(x!=0)
{
for(int b=1;b<=x;b++)
{
for(int c=1;c<=y;c++)
{cout << "#";}
cout << endl;
}
cout << endl;
}
}
}