646. Maximum Length of Pair Chain

QUESTION:

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

Note:

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

EXPLANATION:

这道题目其实用的是贪心算法,先按照最末尾的数进行排序,然后再进行对比,如果某个数的0位置大于之前的,就进行添加。贪心算法的典型哈。

SOLUTION:

public class Solution {
    public int findLongestChain(int[][] pairs) {
        Arrays.sort(pairs,(a,b)->a[1]-b[1]);
        int count = 1;
        int end = pairs[0][1];
        for(int i = 1;i<pairs.length;i++){
            if(pairs[i][0]>end){
                count++;
                end = pairs[i][1];
            }
        }
        return count;
    }
}
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