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Solution: Minimum Moves to Spread Stones Over Grid

Explore how backtracking can be applied to find the minimum number of moves needed to spread stones across a 3x3 grid with adjacency constraints. Understand the recursive approach and how to calculate move distances in this hands-on coding problem.

Statement

Given a 2D grid of integers of size (3×33 \times 3), where each value represents the number of stones in the given cell, return the minimum number of moves required to place exactly one stone in each grid cell.

Constraints:

  • Only one stone can be moved in one move.

  • Stone from a cell can only be moved to another cell if they are adjacent (share a side).

  • The sum of all stones in the grid must be equal to 99.

  • grid.length, grid[i].length =3 = 3

  • 00 \le grid[i][j] 9 \le 9

Solution

This solution works by trying different combinations of moving extra stones around the grid until each empty cell has at least one stone. ...