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| 1 | +package by.andd3dfx.common; |
| 2 | + |
| 3 | +import java.util.ArrayList; |
| 4 | +import java.util.Comparator; |
| 5 | +import java.util.List; |
| 6 | + |
| 7 | +/** |
| 8 | + * <pre> |
| 9 | + * <a href="https://leetcode.com/problems/interval-list-intersections/description/">Task description</a> |
| 10 | + * |
| 11 | + * You are given two lists of closed intervals, firstList and secondList, where firstList[i] = [starti, endi] |
| 12 | + * and secondList[j] = [startj, endj]. Each list of intervals is pairwise disjoint and in sorted order. |
| 13 | + * |
| 14 | + * Return the intersection of these two interval lists. |
| 15 | + * |
| 16 | + * A closed interval [a, b] (with a <= b) denotes the set of real numbers x with a <= x <= b. |
| 17 | + * |
| 18 | + * The intersection of two closed intervals is a set of real numbers that are either empty or represented as a closed interval. |
| 19 | + * For example, the intersection of [1, 3] and [2, 4] is [2, 3]. |
| 20 | + * |
| 21 | + * Example 1: |
| 22 | + * <img src="https://assets.leetcode.com/uploads/2019/01/30/interval1.png"/> |
| 23 | + * Input: firstList = [[0,2],[5,10],[13,23],[24,25]], secondList = [[1,5],[8,12],[15,24],[25,26]] |
| 24 | + * Output: [[1,2],[5,5],[8,10],[15,23],[24,24],[25,25]] |
| 25 | + * |
| 26 | + * Example 2: |
| 27 | + * Input: firstList = [[1,3],[5,9]], secondList = [] |
| 28 | + * Output: [] |
| 29 | + * </pre> |
| 30 | + */ |
| 31 | +public class IntervalListIntersections { |
| 32 | + |
| 33 | + public static int[][] intervalIntersection(int[][] firstList, int[][] secondList) { |
| 34 | + List<Point> points = new ArrayList<>(); |
| 35 | + populatePointList(firstList, points, 1); |
| 36 | + populatePointList(secondList, points, 2); |
| 37 | + points.sort(Comparator.comparing(Point::x).thenComparingInt(o -> o.type.ordinal())); |
| 38 | + |
| 39 | + List<Pair> intersections = new ArrayList<>(); |
| 40 | + var startsAmount = 0; |
| 41 | + var x = 0; |
| 42 | + for (var point : points) { |
| 43 | + switch (point.type) { |
| 44 | + case START -> { |
| 45 | + startsAmount++; |
| 46 | + x = point.x; |
| 47 | + } |
| 48 | + case END -> { |
| 49 | + if (startsAmount <= 0) { |
| 50 | + throw new IllegalStateException("END going before any START!"); |
| 51 | + } |
| 52 | + if (startsAmount == 2) { |
| 53 | + intersections.add(new Pair(x, point.x)); |
| 54 | + } |
| 55 | + startsAmount--; |
| 56 | + } |
| 57 | + } |
| 58 | + } |
| 59 | + |
| 60 | + int[][] result = new int[intersections.size()][2]; |
| 61 | + for (int i = 0; i < intersections.size(); i++) { |
| 62 | + result[i][0] = intersections.get(i).x1; |
| 63 | + result[i][1] = intersections.get(i).x2; |
| 64 | + } |
| 65 | + return result; |
| 66 | + } |
| 67 | + |
| 68 | + private static void populatePointList(int[][] firstList, List<Point> points, int listNumber) { |
| 69 | + for (var pair : firstList) { |
| 70 | + points.add(new Point(pair[0], Point.Type.START, listNumber)); |
| 71 | + points.add(new Point(pair[1], Point.Type.END, listNumber)); |
| 72 | + } |
| 73 | + } |
| 74 | + |
| 75 | + public record Point(int x, Type type, int listNumber) { |
| 76 | + |
| 77 | + public enum Type { |
| 78 | + START, END |
| 79 | + } |
| 80 | + } |
| 81 | + |
| 82 | + public record Pair(int x1, int x2) { |
| 83 | + |
| 84 | + } |
| 85 | +} |
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