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Maximum path sum in matrix
Medium Accuracy: 50.83% Submissions: 23883 Points: 4

Given a NxN matrix of positive integers. There are only three possible moves from a cell Matrix[r][c].

  1. Matrix [r+1] [c]
  2. Matrix [r+1] [c-1]
  3. Matrix [r+1] [c+1]

Starting from any column in row 0 return the largest sum of any of the paths up to row N-1.

Example 1:

Input: N = 2
Matrix = {{348, 391},
          {618, 193}}
Output: 1009
Explaination: The best path is 391 -> 618. 
It gives the sum = 1009.

Example 2:

Input: N = 2
Matrix = {{2, 2},
          {2, 2}}
Output: 4
Explaination: No matter which path is 
chosen, the output is 4.

Your Task:
You do not need to read input or print anything. Your task is to complete the function maximumPath() which takes the size N and the Matrix as input parameters and returns the highest maximum path sum.

Expected Time Complexity: O(N*N)
Expected Auxiliary Space: O(N*N)

1 ≤ N ≤ 500
1 ≤ Matrix[i][j] ≤ 1000

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Maximum path sum in matrix

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