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:
- 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;
}
}