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594. Longest Harmonious Subsequence

Difficulty: Easy

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594. Longest Harmonious Subsequence

Easy


We define a harmonious array as an array where the difference between its maximum value and its minimum value is exactly 1.

Given an integer array nums, return the length of its longest harmonious subsequence among all its possible subsequences.

 

Example 1:

Input: nums = [1,3,2,2,5,2,3,7]

Output: 5

Explanation:

The longest harmonious subsequence is [3,2,2,2,3].

Example 2:

Input: nums = [1,2,3,4]

Output: 2

Explanation:

The longest harmonious subsequences are [1,2], [2,3], and [3,4], all of which have a length of 2.

Example 3:

Input: nums = [1,1,1,1]

Output: 0

Explanation:

No harmonic subsequence exists.

 

Constraints:

  • 1 <= nums.length <= 2 * 104
  • -109 <= nums[i] <= 109

Solution

class Solution {
    public int findLHS(int[] nums) {
        int n = nums.length;
        HashMap<Integer, TreeSet<Integer>> map = new HashMap<>();
        Arrays.sort(nums);
        for (int i = 0; i < n; i++) {
            if (!map.containsKey(nums[i])) map.put(nums[i], new TreeSet<>());
            map.get(nums[i]).add(i);
        }
        int maxi = 0;
        for (int i = 0; i < n; i++) {
            TreeSet<Integer> current = map.get(nums[i] + 1);
            if (current != null && current.size() > 0) {
                maxi = Math.max(maxi, current.last() - i + 1);
            }
        }
        return maxi;
    }
}

Complexity Analysis

  • Time Complexity: O(?)
  • Space Complexity: O(?)

Approach

Detailed explanation of the approach will be added here