#C5104. Generate Sorted Matrix

    ID: 48717 Type: Default 1000ms 256MiB

Generate Sorted Matrix

Generate Sorted Matrix

You are given two integers n and m representing the number of rows and columns respectively. Your task is to generate an n × m matrix filled with consecutive integers from 1 to n*m such that every row and every column is sorted in increasing order.

More formally, let \(A_{i,j}\) denote the element in the i-th row and j-th column. Then, the value in each cell is given by:

\(A_{i,j} = (i-1) \times m + j\)

Print the generated matrix with each row in a new line, and elements within a row separated by a single space.

inputFormat

The input consists of a single line containing two space-separated integers n and m (1 ≤ n, m ≤ 100), where n is the number of rows and m is the number of columns of the matrix.

outputFormat

Output the matrix in n lines where each line contains m space-separated integers.

## sample
3 3
1 2 3

4 5 6 7 8 9

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