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leetcode-56

Merge Intervals

Given a collection of intervals, merge all overlapping intervals.

Example 1:

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Input: [[1,3],[2,6],[8,10],[15,18]]
Output: [[1,6],[8,10],[15,18]]
Explanation: Since intervals [1,3] and [2,6] overlaps, merge them into [1,6].

Example 2:

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Input: [[1,4],[4,5]]
Output: [[1,5]]
Explanation: Intervals [1,4] and [4,5] are considerred overlapping.

分析题意

该题让我们合并有交集的interval,首先利用start的大小对整个集合排序。然后对集合做遍历,若一个interval的start大于前面的end值说明存在overlap,需要将end值设为当前end和原来end二者中的最大值。否则说明interval是离散的,只需要将之前的start,end实例化为一个新的Interval实例,然后加入到集合,并初始化新的start和end值。遍历结束之后将最后一个start,end的interval加入到集合当中。

代码实现

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/**
* Definition for an interval.
* public class Interval {
* int start;
* int end;
* Interval() { start = 0; end = 0; }
* Interval(int s, int e) { start = s; end = e; }
* }
*/
class Solution {
public List<Interval> merge(List<Interval> intervals) {
if(intervals == null || intervals.size() <= 1) return intervals;

intervals.sort((i1, i2) -> i1.start - i2.start);
List<Interval> res = new ArrayList<>();
int start = intervals.get(0).start;
int end = intervals.get(0).end;

for(Interval interval : intervals) {
// show this interval overlaps
if(interval.start <= end) end = Math.max(end, interval.end);
else {
// the interval disjoints
res.add(new Interval(start, end));
start = interval.start;
end = interval.end;
}
}
// The last interval hasn't been added
res.add(new Interval(start, end));
return res;
}
}