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 PYTHON):

Solution:
h = []
w = []
while True:
    a,b = map(int, raw_input().split())
    h.append(a)
    w.append(b) 
    if a == 0 and b == 0:
        break

for h,w in zip(h,w):    
    if h == 0 and w == 0:
        break;
    else:
        r = "#"
        for x in xrange(w-1):
            r = r + "#"
        for x in xrange(h):
	    print r
    print