p02404 Print a Frame
Draw a frame which has a height of H cm and a width of W cm. For example, the following figure shows a frame which has a height of 6 cm and a width of 10 cm.



........#
........#
........#
........#



Constraints

* 3 ≤ H ≤ 300
* 3 ≤ 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 frame made of '#' and '.'.

Print a blank line after each dataset.

Example

Input

3 4
5 6
3 3
0 0


Output

####
#..#
####

######
#....#
#....#
#....#
######

###
#.#
###
```python
while True:
    h, w = [int(i) for i in input().split()]
    if w == h == 0:
        break
    print("#" * w, end="")
    print(("\n#" + "." * (w - 2) + "#") * (h - 2))
    print("#" * w, end="\n\n")


```