Geeksforgeeks

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Given a gold mine called **M** of (**n x m)** dimensions. Each field in this mine contains a positive integer which is the amount of gold in tons. Initially the miner can start from any row in the first column. From a given cell, the miner can move

- to the cell diagonally up towards the right
- to the right
- to the cell diagonally down towards the right

Find out maximum amount of gold which he can collect.

**Example 1:**

**Input:** n = 3, m = 3
M = {{1, 3, 3},
{2, 1, 4},
{0, 6, 4}};
**Output:** 12
**Explaination:**
The path is {(1,0) -> (2,1) -> (2,2)}.

**Example 2:**

**Input:** n = 4, m = 4
M = {{1, 3, 1, 5},
{2, 2, 4, 1},
{5, 0, 2, 3},
{0, 6, 1, 2}};
**Output:** 16
**Explaination:**
The path is {(2,0) -> (3,1) -> (2,2)
-> (2,3)} or {(2,0) -> (1,1) -> (1,2)
-> (0,3)}.

**Your Task:**

You do not need to read input or print anything. Your task is to complete the function **maxGold()** which takes the values n, m and the mine M as input parameters and returns the maximum amount of gold that can be collected.

**Expected Time Complexity:** O(n*m)

**Expected Auxiliary Space:** O(n*m)

**Constraints:**

1 ≤ n, m ≤ 50

1 ≤ M[i][j] ≤ 100

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Gold Mine Problem

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