LeetCode 646 Maximum Length of Pair Chain (贪心)
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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:
- The number of given pairs will be in the range [1, 1000].
题目链接:https://leetcode.com/problems/maximum-length-of-pair-chain/description/
题目分析:经典的贪心问题,按照第二个数字对数组排序,然后按题意尽可能多的取即可,原因很简单,要保证后面尽可能多的取,那么前面也应该尽可能早的结束
class Solution { public int findLongestChain(int[][] pairs) { int n = pairs.length; if (n == 1) { return 1; } Arrays.sort(pairs, new Comparator<int[]>() { public int compare(int[] o1, int[] o2) { return o1[1] - o2[1]; } }); int ans = 1, i = 1, r = pairs[0][1]; while (i < n) { while (i < n && pairs[i][0] <= r) { i ++; } if (i == n) { break; } r = pairs[i][1]; ans ++; } return ans; }}
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