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.
这题其实很简单,始终保持现有检索序列里的最小的两个符合递增要求的数就行。一旦发现比他俩都大的就返回true。
代码:
bool increasingTriplet(vector<int>& nums) {
int len = nums.size();
int min1 = INT_MAX;
int min2 = INT_MAX;
for (int i = 0; i < len; i++) {
if (nums[i] <= min1) {
min1 = nums[i];
}
else if (nums[i] <= min2) {
min2 = nums[i];
}
else return true;
}
return false;
}