Package g1701_1800.s1722_minimize_hamming_distance_after_swap_operations

Class Solution

java.lang.Object
g1701_1800.s1722_minimize_hamming_distance_after_swap_operations.Solution
public class Solution extends java.lang.Object
1722 - Minimize Hamming Distance After Swap Operations.

Medium

You are given two integer arrays, source and target, both of length n. You are also given an array allowedSwaps where each allowedSwaps[i] = [ai, bi] indicates that you are allowed to swap the elements at index ai and index bi (0-indexed) of array source. Note that you can swap elements at a specific pair of indices multiple times and in any order.

The Hamming distance of two arrays of the same length, source and target, is the number of positions where the elements are different. Formally, it is the number of indices i for 0 <= i <= n-1 where source[i] != target[i] (0-indexed).

Return the minimum Hamming distance of source and target after performing any amount of swap operations on array source.

Example 1:

Input: source = [1,2,3,4], target = [2,1,4,5], allowedSwaps = [[0,1],[2,3]]

Output: 1

Explanation: source can be transformed the following way:

  • Swap indices 0 and 1: source = [2,1,3,4]

  • Swap indices 2 and 3: source = [2,1,4,3]

The Hamming distance of source and target is 1 as they differ in 1 position: index 3.

Example 2:

Input: source = [1,2,3,4], target = [1,3,2,4], allowedSwaps = []

Output: 2

Explanation: There are no allowed swaps. The Hamming distance of source and target is 2 as they differ in 2 positions: index 1 and index 2.

Example 3:

Input: source = [5,1,2,4,3], target = [1,5,4,2,3], allowedSwaps = [[0,4],[4,2],[1,3],[1,4]]

Output: 0

Constraints:

  • n == source.length == target.length
  • 1 <= n <= 105
  • 1 <= source[i], target[i] <= 105
  • 0 <= allowedSwaps.length <= 105
  • allowedSwaps[i].length == 2
  • 0 <= ai, bi <= n - 1
  • ai != bi

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    int
    minimumHammingDistance(int[] source, int[] target, int[][] allowedSwaps)
     

    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

    • minimumHammingDistance

      public int minimumHammingDistance(int[] source, int[] target, int[][] allowedSwaps)