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LeetCode - 334 - Increasing Triplet Subsequence

2017-08-02 15:41 441 查看
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
.

找到三个数使得满足a[i] < a[j] < a[k] && i < j < k

思维题吧?

设置一个small和big,如果小于small就替换small,如果大于small小于big,就替换big。否则,大于这两个数,说明条件成立,返回true。

class Solution {
public:
bool increasingTriplet(vector<int>& nums) {
if (nums.size() < 3) return false;
int a1 = INT_MAX, a2 = INT_MAX;
for (auto x: nums) {
if (x <= a1) a1 = x;
else if (x <= a2) a2 = x;
else return true;
}
return false;
}
};
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