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Min Sum Path in Matrix

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Problem Description

Given a 2D integer array A of size M x N, you need to find a path from top left to bottom right which minimizes the sum of all numbers along its path.

NOTE: You can only move either down or right at any point in time.

Input Format First and only argument is an 2D integer array A of size M x N.

Output Format Return a single integer denoting the minimum sum of a path from cell (1, 1) to cell (M, N).

Example Input Input 1:

A = [ [1, 3, 2] [4, 3, 1] [5, 6, 1] ]

Example Output Output 1:

8

Example Explanation Explanation 1:

The path is 1 -> 3 -> 2 -> 1 -> 1 So ( 1 + 3 + 2 + 1 + 1) = 8