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LeetCode 1219, Medium. Topics: Array, Backtracking, Matrix. View on LeetCode. Generate this problem as a practice environment: tested reference solution, 16 parametrized pytest cases, and a playground notebook:

Problem

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.

Examples

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.

Solution

Reference implementation from solution.py on GitHub, full suite in test_solution.py:

Complexity

Tags

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Last modified on September 7, 2026