Package g2101_2200.s2179_count_good_triplets_in_an_array

Class Solution

java.lang.Object
g2101_2200.s2179_count_good_triplets_in_an_array.Solution
public class Solution extends java.lang.Object
2179 - Count Good Triplets in an Array.

Hard

You are given two 0-indexed arrays nums1 and nums2 of length n, both of which are permutations of [0, 1, ..., n - 1].

A good triplet is a set of 3 distinct values which are present in increasing order by position both in nums1 and nums2. In other words, if we consider pos1v as the index of the value v in nums1 and pos2v as the index of the value v in nums2, then a good triplet will be a set (x, y, z) where 0 <= x, y, z <= n - 1, such that pos1x < pos1y < pos1z and pos2x < pos2y < pos2z.

Return the total number of good triplets.

Example 1:

Input: nums1 = [2,0,1,3], nums2 = [0,1,2,3]

Output: 1

Explanation:

There are 4 triplets (x,y,z) such that pos1x < pos1y < pos1z. They are (2,0,1), (2,0,3), (2,1,3), and (0,1,3).

Out of those triplets, only the triplet (0,1,3) satisfies pos2x < pos2y < pos2z.

Hence, there is only 1 good triplet.

Example 2:

Input: nums1 = [4,0,1,3,2], nums2 = [4,1,0,2,3]

Output: 4

Explanation: The 4 good triplets are (4,0,3), (4,0,2), (4,1,3), and (4,1,2).

Constraints:

  • n == nums1.length == nums2.length
  • 3 <= n <= 105
  • 0 <= nums1[i], nums2[i] <= n - 1
  • nums1 and nums2 are permutations of [0, 1, ..., n - 1].

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    long
    goodTriplets(int[] nums1, int[] nums2)
     

    Methods inherited from class java.lang.Object

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

  • Constructor Details

    • Solution

      public Solution()

  • Method Details

    • goodTriplets

      public long goodTriplets(int[] nums1, int[] nums2)