Given an unsorted array return whether an increasing subsequence of length 3 exists or not in the array.
Formally the function should:
Return true if there exists i, j, k
such that arr[i] < arr[j] < arr[k] given 0 ≤ i < j < k ≤ n-1 else return false.
Your algorithm should run in O(n) time complexity and O(1) space complexity.
Examples:
Given [1, 2, 3, 4, 5]
,
return true
.
Given [5, 4, 3, 2, 1]
,
return false
.
Analysis:
it is a simplified version of LIS.
Solution:
1 public class Solution { 2 public boolean increasingTriplet(int[] nums) { 3 if (nums.length < 3) return false; 4 5 int p1=0; 6 int p2 = -1; 7 for (int i=1;i<nums.length;i++){ 8 if (nums[i] <= nums[p1]){ 9 p1 = i; 10 } else if (p2==-1 || nums[i] <= nums[p2]){ 11 p2 = i; 12 } else return true; 13 } 14 return false; 15 16 } 17 }