Package g3201_3300.s3288_length_of_the_longest_increasing_path

Class Solution

  • All Implemented Interfaces:
    
public final class Solution

    3288 - Length of the Longest Increasing Path.

    Hard

    You are given a 2D array of integers coordinates of length n and an integer k, where 0 <= k < n.

    <code>coordinatesi = x<sub>i</sub>, y<sub>i</sub></code> indicates the point <code>(x<sub>i</sub>, y<sub>i</sub>)</code> in a 2D plane.

    An increasing path of length m is defined as a list of points <code>(x<sub>1</sub>, y<sub>1</sub>)</code>, <code>(x<sub>2</sub>, y<sub>2</sub>)</code>, <code>(x<sub>3</sub>, y<sub>3</sub>)</code>, ..., <code>(x<sub>m</sub>, y<sub>m</sub>)</code> such that:

    • <code>x<sub>i</sub>< x<sub>i + 1</sub></code> and <code>y<sub>i</sub>< y<sub>i + 1</sub></code> for all i where 1 &lt;= i &lt; m.

    • <code>(x<sub>i</sub>, y<sub>i</sub>)</code> is in the given coordinates for all i where 1 &lt;= i &lt;= m.

    Return the maximum length of an increasing path that contains coordinates[k].

    Example 1:

    Input: coordinates = [3,1,2,2,4,1,0,0,5,3], k = 1

    Output: 3

    Explanation:

    (0, 0), (2, 2), (5, 3) is the longest increasing path that contains (2, 2).

    Example 2:

    Input: coordinates = [2,1,7,0,5,6], k = 2

    Output: 2

    Explanation:

    (2, 1), (5, 6) is the longest increasing path that contains (5, 6).

    Constraints:

    • <code>1 <= n == coordinates.length <= 10<sup>5</sup></code>

    • coordinates[i].length == 2

    • <code>0 <= coordinates0, coordinates1<= 10<sup>9</sup></code>

    • All elements in coordinates are distinct.

    • 0 &lt;= k &lt;= n - 1

    • Nested Class Summary

      Nested Classes 
      Modifier and Type Class Description

    • Field Summary

      Fields 
      Modifier and Type Field Description

    • Constructor Summary

      Constructors 
      Constructor Description
      Solution()

    • Enum Constant Summary

      Enum Constants 
      Enum Constant Description

    • Method Summary

      Modifier and Type Method Description
      final Integer maxPathLength(Array<IntArray> coordinates, Integer k)

      • Methods inherited from class java.lang.Object

        clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait