Class Solution


  • public class Solution
    extends Object
    1219 - Path with Maximum Gold.

    Medium

    In a gold mine grid of size m x n, each cell in this mine has an integer representing the amount of gold in that cell, 0 if it is empty.

    Return the maximum amount of gold you can collect under the conditions:

    • Every time you are located in a cell you will collect all the gold in that cell.
    • From your position, you can walk one step to the left, right, up, or down.
    • You can’t visit the same cell more than once.
    • Never visit a cell with 0 gold.
    • You can start and stop collecting gold from any position in the grid that has some gold.

    Example 1:

    Input: grid = [[0,6,0],[5,8,7],[0,9,0]]

    Output: 24

    Explanation:

     [[0,6,0], 
      [5,8,7], 
      [0,9,0]] 
     Path to get the maximum gold, 9 -> 8 -> 7.
    

    Example 2:

    Input: grid = [[1,0,7],[2,0,6],[3,4,5],[0,3,0],[9,0,20]]

    Output: 28

    Explanation:

     [[1,0,7], 
      [2,0,6], 
      [3,4,5], 
      [0,3,0], 
      [9,0,20]] 
     Path to get the maximum gold, 1 -> 2 -> 3 -> 4 -> 5 -> 6 -> 7.
    

    Constraints:

    • m == grid.length
    • n == grid[i].length
    • 1 <= m, n <= 15
    • 0 <= grid[i][j] <= 100
    • There are at most 25 cells containing gold.
    • Constructor Detail

      • Solution

        public Solution()
    • Method Detail

      • getMaximumGold

        public int getMaximumGold​(int[][] grid)