Filling the matrix in a spiral

Create a program that populates a table with numbers ranging from 1 to M·N, beginning at the top-left corner and spiraling inward in a clockwise direction (refer to the example for clarity).

Input

The first line contains the natural numbers N and M, which represent the dimensions of the table (1 ≤ N, M ≤ 50).

Output

Output a table filled with numbers in the specified spiral order.

Examples