How to Solve Minimum Moves to Spread Stones Over Grid Problem
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Minimum Moves to Spread Stones Over Grid
You are given a 0-indexed 2D integer matrix grid of size 3 * 3, representing the number of stones in each cell. The grid contains exactly 9 stones, and there can be multiple stones in a single cell. I...
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Understanding the Minimum Moves to Spread Stones Over Grid Problem
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Problem Statement
You are given a 0-indexed 2D integer matrix grid of size 3 * 3, representing the number of stones in each cell. The grid contains exactly 9 stones, and there can be multiple stones in a single cell. In one move, you can move a single stone from its current cell to any other cell if the two cells share a side. Return the minimum number of moves required to place one stone in each cell.
Minimum Moves to Spread Stones Over Grid
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Examples
grid = [[1,1,0],[1,1,1],[1,2,1]]3One possible sequence of moves to place one stone in each cell is: 1- Move one stone from cell (2,1) to cell (2,2). 2- Move one stone from cell (2,2) to cell (1,2). 3- Move one stone from cell (1,2) to cell (0,2). In total, it takes 3 moves to place one stone in each cell of the grid. It can be shown that 3 is the minimum number of moves required to place one stone in each cell.
grid = [[1,3,0],[1,0,0],[1,0,3]]4One possible sequence of moves to place one stone in each cell is: 1- Move one stone from cell (0,1) to cell (0,2). 2- Move one stone from cell (0,1) to cell (1,1). 3- Move one stone from cell (2,2) to cell (1,2). 4- Move one stone from cell (2,2) to cell (2,1). In total, it takes 4 moves to place one stone in each cell of the grid. It can be shown that 4 is the minimum number of moves required to place one stone in each cell.
Constraints
grid.length == grid[i].length == 30 <= grid[i][j] <= 9Sum of grid is equal to 9.How Interview Coder Helps with Leetcode Problems
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