Merge overlapping intervals

Problem description

Given a collection of intervals, merge all overlapping intervals.

Examples

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Example 1:
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].
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Example 2:
Input: [[1,4],[4,5]]
Output: [[1,5]]
Explanation: Intervals [1,4] and [4,5] are considered overlapping.

Solution

  这道题和OJ上的看电视时间排序一题类似,以start递增排序,判断前一段区间的end是否大于后一段区间的start来进行合并。尽管AC了,但对象排序颇为耗时。看了解析,将start,end拆开放在两个数组。用一个索引记录区间。当 i <length - 1且 start[i+1] <= end[i].

Code

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 class Solution {
static class Interval {
int start;
int end;

Interval() {
start = 0;
end = 0;
}

Interval(int s, int e) {
start = s;
end = e;
}
}

public List<Interval> merge(List<Interval> intervals) {
int lenth = intervals.size();
if (lenth == 0 || lenth == 1) {
return intervals;
}
int starts[] = new int[lenth];
int ends[] = new int[lenth];
for (int i = 0; i < lenth; i++) {
Interval interval = intervals.get(i);
starts[i] = interval.start;
ends[i] = interval.end;
}
Arrays.sort(starts);
Arrays.sort(ends);
List<Interval> results = new ArrayList<>();
results.add(intervals.get(0));
Interval currentInterval, nextInterval;
int cur = 0;
for (int i = 1; i < lenth; i++) {
currentInterval = results.get(cur);
nextInterval = intervals.get(i);
if (currentInterval.end >= nextInterval.start) {
currentInterval.end = Math.max(currentInterval.end, nextInterval.end);
results.set(cur, currentInterval);
} else {
results.add(nextInterval);
cur++;
}
}
return results;
}

public static void main(String[] args) {
List<Interval> list = new ArrayList<>();
list.add(new Interval(1, 3));
list.add(new Interval(2, 6));
list.add(new Interval(8, 10));
list.add(new Interval(15, 18));
new Solution().merge(list);
}
}
文章目录
  1. 1. Problem description
    1. 1.1. Given a collection of intervals, merge all overlapping intervals.
  2. 2. Examples
  3. 3. Solution
  4. 4. Code
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