334 Increasing Triplet Subsequence
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.
Solution similar to longest increasing subsequence
class Solution {
public:
bool increasingTriplet(vector<int>& nums) {
int n = nums.size();
if ( n <= 2 ) return false;
int m1 = nums[0], m2 = INT_MAX;
for ( int i = 1; i <= n-1; i++ ) {
int ni = nums[i];
if ( ni > m2 ) return true;
if ( ni <= m1 ) m1 = ni;
else m2 = ni;
}
return false;
}
};