LeetCode-in-Java

334. Increasing Triplet Subsequence

Medium

Given an integer array nums, return true if there exists a triple of indices (i, j, k) such that i < j < k and nums[i] < nums[j] < nums[k]. If no such indices exists, return false.

Example 1:

Input: nums = [1,2,3,4,5]

Output: true

Explanation: Any triplet where i < j < k is valid.

Example 2:

Input: nums = [5,4,3,2,1]

Output: false

Explanation: No triplet exists.

Example 3:

Input: nums = [2,1,5,0,4,6]

Output: true

Explanation: The triplet (3, 4, 5) is valid because nums[3] == 0 < nums[4] == 4 < nums[5] == 6.

Constraints:

Follow up: Could you implement a solution that runs in O(n) time complexity and O(1) space complexity?

Solution

public class Solution {
    public boolean increasingTriplet(int[] nums) {
        int n = nums.length;
        int i = 0;
        int low = Integer.MAX_VALUE;
        int high = Integer.MAX_VALUE;
        while (i < n) {
            if (low >= nums[i]) {
                low = nums[i++];
            } else if (high >= nums[i]) {
                high = nums[i++];
            } else {
                return true;
            }
        }
        return false;
    }
}