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| 1 | +import java.util.ArrayList; |
| 2 | +import java.util.Collections; |
| 3 | + |
| 4 | +/** |
| 5 | + * Given a set of non overlapping intervals |
| 6 | + * Example 1 :(1,4) (6,10) (14, 19) and another interval (13, 17) merge them as (1,4) (6,10) (13,19) |
| 7 | + * <p/> |
| 8 | + * Example 2: (1,5) (6, 15) (20, 21) (23, 26) (27, 30) (35, 40), and the new interval is (14, 33). The |
| 9 | + * output should be (1,5) (6, 33) (35, 40). |
| 10 | + * This is because the new interval overlaps with (6, 15) (20, 21) (23, 26) (27, 30) |
| 11 | + * <p/> |
| 12 | + * Given a collection of intervals, merge all overlapping intervals. |
| 13 | + * <p/> |
| 14 | + * For example, |
| 15 | + * Given [1,3],[2,6],[8,10],[15,18], |
| 16 | + * return [1,6],[8,10],[15,18]. |
| 17 | + */ |
| 18 | +public class MergeIntervals { |
| 19 | + public int start; |
| 20 | + public int end; |
| 21 | + |
| 22 | + public MergeIntervals(int s, int e) { |
| 23 | + if (s < e) { |
| 24 | + start = s; |
| 25 | + end = e; |
| 26 | + } else { |
| 27 | + throw new RuntimeException("start < end"); |
| 28 | + } |
| 29 | + } |
| 30 | + |
| 31 | + public static void main(String[] args) { |
| 32 | + ArrayList<MergeIntervals> intervals = new ArrayList<MergeIntervals>(); |
| 33 | + intervals.add(new MergeIntervals(6, 10)); |
| 34 | + intervals.add(new MergeIntervals(1, 4)); |
| 35 | + intervals.add(new MergeIntervals(14, 19)); |
| 36 | + intervals.add(new MergeIntervals(13, 17)); |
| 37 | + |
| 38 | + Collections.sort(intervals, new IntervalComparator()); |
| 39 | + System.out.println("original intervals"); |
| 40 | + printIntervals(intervals); |
| 41 | + |
| 42 | + ArrayList<MergeIntervals> result = mergeIntervals(intervals); |
| 43 | + System.out.println("merged intervals"); |
| 44 | + printIntervals(result); |
| 45 | + } |
| 46 | + |
| 47 | + public static ArrayList<MergeIntervals> mergeIntervals(ArrayList<MergeIntervals> intervalsArrayList) { |
| 48 | + if (intervalsArrayList.size() <= 1) return intervalsArrayList; |
| 49 | + |
| 50 | + ArrayList<MergeIntervals> result = new ArrayList<MergeIntervals>(); |
| 51 | + result.add(0, intervalsArrayList.get(0)); |
| 52 | + |
| 53 | + for (int i = 1; i < intervalsArrayList.size(); i++) { |
| 54 | + MergeIntervals prev = result.get(0); |
| 55 | + MergeIntervals cur = intervalsArrayList.get(i); |
| 56 | + |
| 57 | + if (prev.end < cur.start) { |
| 58 | + result.add(0, cur); |
| 59 | + } else { |
| 60 | + if (prev.end < cur.end) |
| 61 | + prev.end = cur.end; |
| 62 | + if (prev.start > cur.start) |
| 63 | + prev.start = cur.start; |
| 64 | + result.remove(0); |
| 65 | + result.add(0, prev); |
| 66 | + } |
| 67 | + } |
| 68 | + |
| 69 | + return result; |
| 70 | + } |
| 71 | + |
| 72 | + public static void printIntervals(ArrayList<MergeIntervals> intervalsArrayList) { |
| 73 | + for (int i = 0; i < intervalsArrayList.size(); ++i) { |
| 74 | + MergeIntervals in = intervalsArrayList.get(i); |
| 75 | + System.out.println("(" + in.start + "," + in.end + ")"); |
| 76 | + } |
| 77 | + } |
| 78 | + |
| 79 | + |
| 80 | +} |
| 81 | + |
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