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DSA
MediumArray

Minimum Falling Path Sum

arraydynamic programmingmatrix

Problem Statement

Given an n x n array of integers matrix , return the minimum sum of any falling path through matrix .

A falling path starts at any element in the first row and chooses the element in the next row that is either directly below or diagonally left/right. Specifically, the next element from position (row, col) will be (row + 1, col - 1) , (row + 1, col) , or (row + 1, col + 1) .

Examples

Example 1
Input: matrix = [[2,1,3],[6,5,4],[7,8,9]]
Output: 13
There are two falling paths with a minimum sum as shown.
Example 2
Input: matrix = [[-19,57],[-40,-5]]
Output: -59
The falling path with a minimum sum is shown.

Constraints

n == matrix.length == matrix[i].length
1 <= n <= 100
-100 <= matrix[i][j] <= 100
🤔
Medium
Difficulty
Topic Info
ModuleDSA
CategoryArray
Sub-topicDynamic Programming
Tags
arraydynamic programmingmatrix
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