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2179. Count Good Triplets in an Array

  • Given two permutations nums1 and nums2 of length n, find the total number of good triplets.
  • A good triplet consists of 3 distinct values in increasing order in both arrays.
  • Precompute positions of elements in both arrays and create element structures.
  • Calculate left count of elements before each element using Fenwick Tree.
  • Calculate right count of elements after each element using reverse Fenwick Tree.
  • Combine left and right counts to get the total number of good triplets.
  • Implementation provided using PHP with a class for Fenwick Tree and the main function.
  • Use of Fenwick Tree allows efficient counting of elements for the solution.
  • The approach results in O(n log n) time complexity suitable for large inputs.
  • Overall, the method efficiently counts good triplets in permutations using data structures.

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