// Source : https://leetcode.com/problems/increasing-triplet-subsequence/
// Author : Calinescu Valentin
// Date   : 2016-02-27

/*************************************************************************************** 
 *
 * 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.
 * 
 ***************************************************************************************/
class Solution {
public:
    bool increasingTriplet(vector<int>& nums) {
        bool solution = false;
        if(nums.size())
        {
            int first = nums[0];
            int second = 0x7fffffff; //MAX_INT so we can always find something smaller than it
            for(int i = 1; i < nums.size() && !solution; i++)
            {
                if(nums[i] > second)
                    solution = true;
                else if(nums[i] > first && nums[i] < second)
                    second = nums[i];
                else if(nums[i] < first)
                    first = nums[i];
            }
        }
        return solution;
    }
};