T9. Spiral TTT

Given integers N and M, fill a rectangle with N rows and M columns using integers from the range [1; N*M]. The numbers should be arranged in a clockwise spiral pattern, starting from the top right corner.

Output the numbers row by row, with a space separating each number within a row.

Constraints

1 ≤ N, M ≤ 100

Input Format

A single line containing the integers N and M, separated by a space.

Output Format

Print the numbers from the range [1; N*M] in the specified spiral order.

Examples