Using two characters: . (dot) and * (asterisk) print a frame-like pattern.

Input

You are given t - the number of test cases and for each of the test cases two positive integers: l - the number of lines and c - the number of columns of a frame.

Output

For each of the test cases output the requested pattern (please have a look at the example). Use one line break in between successive patterns.

Example

Input:
3
3 1
4 4
2 5

Output:
*
*
*

****
*..*
*..*
****

*****
*****