[leetcode]334. Increasing Triplet Subsequence

    xiaoxiao2021-03-25  105

    题目链接:https://leetcode.com/problems/increasing-triplet-subsequence/?tab=Description

    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.

    解题思路:

     初始化c1,c2为INT_MAX,

    (1)找第一个数a1时,如果a1<=c1,则c1=a1

    (2)找第二个数a2时,如果c1<a2<=c2,则c2=a2

    (3)找第三个数a3时,如果a3>c2 且a3>c1,则返回true

    (4)找第二个数a2时,如果a2<=c1,则c1=a2

    (5)找第三个数a3时,如果a3>c1且a3<=c2,则c2=a3

    class Solution{ public: bool increasingTriplet(vector<int>& nums) { int c1=INT_MAX; int c2=INT_MAX; for(int i=0;i<nums.size();i++) { if(nums[i]<=c1) c1=nums[i]; else if(nums[i]<=c2) c2=nums[i]; else return true; } return false; } };

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