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Solution: Minimum Moves to Spread Stones Over Grid

Explore how to solve the problem of spreading stones evenly across a 3x3 grid by using backtracking techniques. Understand how to calculate moves based on Manhattan distance, track empty and extra stone cells, and find the minimum moves required through recursive exploration and trial combinations.

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 ...