题目
Given a set of non-overlapping intervals, insert a new interval into the intervals (merge if necessary).
You may assume that the intervals were initially sorted according to their start times.
Example 1:
Given intervals [1,3],[6,9]
, insert and merge [2,5]
in
as [1,5],[6,9]
.
Example 2:
Given [1,2],[3,5],[6,7],[8,10],[12,16]
, insert and merge [4,9]
in
as [1,2],[3,10],[12,16]
.
This is because the new interval [4,9]
overlaps with [3,5],[6,7],[8,10]
.
从头到尾来一遍,O(n)的复杂度。
看到网上还有其他比较凶残的O(lgn)的方法,没有细看了。Java版本用的是ArrayList,不管啥方法,为了得到最终答案,移动数组的平均时间复杂度都要O(n)了。
代码
import java.util.ArrayList; public class InsertInterval { public ArrayList<Interval> insert(ArrayList<Interval> intervals, Interval newInterval) { ArrayList<Interval> result = new ArrayList<Interval>(); int N = intervals.size(); for (int i = 0; i < N; ++i) { Interval interval = intervals.get(i); if (interval.start > newInterval.end) { result.add(newInterval); for (int j = i; j < N; ++j) { result.add(intervals.get(j)); } return result; } else if (interval.end < newInterval.start) { result.add(interval); } else { newInterval.start = Math.min(newInterval.start, interval.start); newInterval.end = Math.max(newInterval.end, interval.end); } } result.add(newInterval); return result; } }
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原文:http://blog.csdn.net/perfect8886/article/details/21780789