Given two positive integers m and n, print an m x n checkerboard using * and . characters. Row and column indices start from 1.

Input

• One line containing two positive integers m and n.

Output

• Print * if the sum of the row index and column index is even; otherwise print ..

Constraints

• 1 <= m, n <= 100

Example

Input

4 6

Output

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