Matrix with Arithmetic Sequences

Given two positive integers $n$ and $m$, construct a matrix with $n$ rows and $m$ columns such that every row and every column forms an arithmetic sequence. It can be observed that if the element at the $i$-th row and $j$-th column is set to $i \times j$, the matrix satisfies the given condition.

Your task is to output this matrix.

inputFormat

The first line contains two integers $n$ and $m$ ($1 \le n, m \le 1000$).

outputFormat

Output $n$ lines, each containing $m$ space-separated integers representing the matrix. The element in the $i$-th row and $j$-th column should be $i \times j$.

sample

1 1

1