Aschin is interested in the peaks of a grid. A peak is defined as an element of the grid that is the largest in both the row and column containing that element. Please impress Aschin by constructing an by grid of distinct integers from to such that it has exactly peaks.
Constraints
Subtask 1 [30%]
Subtask 2 [70%]
No additional constraints.
Input Specification
The first and only line contains the space-separated integers and .
Output Specification
Output lines containing space-separated integers, a grid of size by which contains each integer from to such that there are exactly peaks. If there are multiple solutions, output any of them. If such a grid does not exist, output .
Sample Input
3 2
Sample Output
9 1 2
8 7 5
4 3 6
Explanation for Sample
and are the peaks.
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