LeetCode 2850: Minimum Moves to Spread Stones Over Grid Solution

Master LeetCode problem 2850 (Minimum Moves to Spread Stones Over Grid), a medium challenge, with our optimized solutions in Java, C++, and Python. Explore detailed explanations, test your code in our interactive editor, and prepare for coding interviews.

2850. Minimum Moves to Spread Stones Over Grid

Medium

Array Dynamic Programming Breadth-First Search Matrix

Problem Explanation

Explanation:

To solve this problem, we need to find the minimum number of moves required to spread the stones over the grid such that each cell has exactly one stone. We can approach this problem by observing the initial positions of the stones and determining the minimum moves needed to redistribute them.

Calculate the total number of stones in the grid.
Determine the number of stones already in their correct position (cells with 1 stone).
If there are stones not in their correct position, distribute them in a way that minimizes the number of moves required. :

Solution Code

class Solution {
    public int minimumMoves(int[][] grid) {
        int totalStones = 0;
        int correctPositionStones = 0;
        
        for (int i = 0; i < 3; i++) {
            for (int j = 0; j < 3; j++) {
                totalStones += grid[i][j];
                if ((i == 0 && j == 0) || (i == 2 && j == 2)) {
                    correctPositionStones += grid[i][j];
                }
            }
        }
        
        int moves = 0;
        int neededMoves = 2;
        
        if (totalStones == 9) {
            moves = Math.max(0, totalStones - correctPositionStones - neededMoves);
        }
        
        return moves;
    }
}

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