[Solution] AP Grid CodeChef Solution

[Solution] AP Grid CodeChef Solution

Construct an N×M$N\times M$ matrix with entries having positive integers such that:

• If M>1$M>1$, ith$i^{th}$ row is strictly increasing from left to right with a fixed common difference di$d_i$ for all 1≤i≤N$1\le i\le N$.
• If N>1$N>1$, jth$j^{th}$ column is strictly increasing from top to bottom with a fixed common difference cj$c_j$ for all 1≤j≤M$1\le j\le M$.
• All the common differences should be distinct.
• In the case of multiple answers, find an arrangement that minimizes the maximum element of the matrix.

Input Format

• First line will contain T$T$, number of test cases. Then the test cases follow.

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• Each test case contains a single line of input, two space-separated integers N$N$ and M$M$ - the dimensions of the matrix.

Output Format

For each test case, output N$N$ lines with each line having M$M$ space-separated integers representing

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 the answer.

Constraints

• 1≤T≤10$1\le T\le 10$