LeetCode

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You are given n pairs of numbers. In every pair, the first number is always smaller than the second number.

Now, we define a pair (c, d) can follow another pair (a, b) if and only if b < c. Chain of pairs can be formed in this fashion.

Given a set of pairs, find the length longest chain which can be formed. You needn't use up all the given pairs. You can select pairs in any order.

Example 1:

Input: [[1,2], [2,3], [3,4]]Output: 2Explanation: The longest chain is [1,2] -> [3,4]

Note:

  1. The number of given pairs will be in the range [1, 1000].

给你一个pair对数组,若存在(a, b) (c, d) && b < c 那么就能构成一条链,求最长的链的长度

排序,遍历。时间复杂度O(nlgn),空间复杂度O(1)

class Solution {public:    int findLongestChain(vector<vector<int>>& pairs) {        if (pairs.empty()) return 0;        sort(pairs.begin(), pairs.end(), cmp);        int cnt = 0;        int pre = INT_MIN;        for (int i = 0; i < pairs.size(); ++i) {            if (pairs[i][0] > pre) {                cnt++;                pre = pairs[i][1];            }        }        return cnt;    }        static bool cmp(vector<int> a, vector<int> b) {        if (a[1] == b[1])            return a[0] < b[0];        return a[1] < b[1];    }};

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