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1289. Minimum Falling Path Sum II

{leetcode}/problems/minimum-falling-path-sum-ii/[LeetCode - Minimum Falling Path Sum II^]

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

Return the minimum sum of a falling path with non-zero shifts.

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.

Constraints:

  • 1 ⇐ arr.length == arr[i].length ⇐ 200

  • -99 ⇐ arr[i][j] ⇐ 99

link:{sourcedir}/_1289_MinimumFallingPathSumII.java[role=include]