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.
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:
Return the length of the longest V-shaped diagonal segment. If no valid segment exists, return 0.
Example 1
Input: 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]]
Output: 5
Explanation: The 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) .
Example 2
Input: 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]]
Output: 4
Explanation: The 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) .
Example 3
Input: 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]]
Output: 5
Explanation: The longest V-shaped diagonal segment has a length of 5 and follows these coordinates: (0,0) → (1,1) → (2,2) → (3,3) → (4,4) .
Example 4
Input: grid = [[1]]
Output: 1
Explanation: The longest V-shaped diagonal segment has a length of 1 and follows these coordinates: (0,0) .
Constraints
- n == grid.length
- m == grid[i].length
- 1 <= n, m <= 500
- grid[i][j] is either 0, 1 or 2.
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