How to Solve Length of Longest V- Shaped Diagonal Segment Problem
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Length of Longest V-Shaped Diagonal Segment
You are given a 2D integer matrix grid of size n x m, where each element is either 0, 1, or 2. A V-shaped diagonal segment is defined as: The segment starts with 1. The subsequent elements follow this...
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Understanding the Length of Longest V- Shaped Diagonal Segment Problem
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Problem Statement
You are given a 2D integer matrix grid of size n x m, where each element is either 0, 1, or 2. A V-shaped diagonal segment is defined as: The segment starts with 1. The subsequent elements follow this infinite sequence: 2, 0, 2, 0, .... The segment: Starts along a diagonal direction (top-left to bottom-right, bottom-right to top-left, top-right to bottom-left, or bottom-left to top-right). Continues the sequence in the same diagonal direction. Makes at most one clockwise 90-degree turn to another diagonal direction while maintaining the sequence. Return the length of the longest V-shaped diagonal segment. If no valid segment exists, return 0.
Length of Longest V-Shaped Diagonal Segment
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Examples
grid = [[2,2,1,2,2],[2,0,2,2,0],[2,0,1,1,0],[1,0,2,2,2],[2,0,0,2,2]]5The longest V-shaped diagonal segment has a length of 5 and follows these coordinates: (0,2) → (1,3) → (2,4), takes a 90-degree clockwise turn at (2,4), and continues as (3,3) → (4,2).
grid = [[2,2,2,2,2],[2,0,2,2,0],[2,0,1,1,0],[1,0,2,2,2],[2,0,0,2,2]]4The longest V-shaped diagonal segment has a length of 4 and follows these coordinates: (2,3) → (3,2), takes a 90-degree clockwise turn at (3,2), and continues as (2,1) → (1,0).
grid = [[1,2,2,2,2],[2,2,2,2,0],[2,0,0,0,0],[0,0,2,2,2],[2,0,0,2,0]]5The longest V-shaped diagonal segment has a length of 5 and follows these coordinates: (0,0) → (1,1) → (2,2) → (3,3) → (4,4).
grid = [[1]]1The longest V-shaped diagonal segment has a length of 1 and follows these coordinates: (0,0).
Constraints
n == grid.lengthm == grid[i].length1 <= n, m <= 500grid[i][j] is either 0, 1 or 2.How Interview Coder Helps with Leetcode Problems
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