Leaderboard
Showing:
Handle Score
@Ibrahim Nash 6379
@blackshadows 6329
@mb1973 5358
@Quandray 5231
@akhayrutdinov 5111
@saiujwal13083 4510
@sanjay05 3762
@marius_valentin_dragoi 3522
@sushant_a 3459
@verma_ji 3357
@KshamaGupta 3318
Complete Leaderboard
Gold Mine Problem
Easy Accuracy: 94.47% Submissions: 524 Points: 2

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

  1. to the cell diagonally up towards the right 
  2. to the right
  3. 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

to report an issue on this page.

Editorial

We strongly recommend solving this problem on your own before viewing its editorial. Do you still want to view the editorial?

Yes

All Submissions

My Submissions:

Login to access your submissions.

Gold Mine Problem

Output Window