Class Solution


  • public class Solution
    extends Object
    1289 - Minimum Falling Path Sum II.

    Hard

    Given an n x n integer matrix grid, return the minimum sum of a falling path with non-zero shifts.

    A falling path with non-zero shifts is a choice of exactly one element from each row of grid such that no two elements chosen in adjacent rows are in the same column.

    Example 1:

    Input: arr = [[1,2,3],[4,5,6],[7,8,9]]

    Output: 13

    Explanation: The possible falling paths are: [1,5,9], [1,5,7], [1,6,7], [1,6,8], [2,4,8], [2,4,9], [2,6,7], [2,6,8], [3,4,8], [3,4,9], [3,5,7], [3,5,9] The falling path with the smallest sum is [1,5,7], so the answer is 13.

    Example 2:

    Input: grid = [[7]]

    Output: 7

    Constraints:

    • n == grid.length == grid[i].length
    • 1 <= n <= 200
    • -99 <= grid[i][j] <= 99
    • Constructor Detail

      • Solution

        public Solution()
    • Method Detail

      • minFallingPathSum

        public int minFallingPathSum​(int[][] grid)