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| 1 | +package me.ramswaroop.linkedlists; |
| 2 | + |
| 3 | +import me.ramswaroop.common.DoubleLinkedList; |
| 4 | +import me.ramswaroop.common.DoubleLinkedNode; |
| 5 | + |
| 6 | +/** |
| 7 | + * Created by IntelliJ IDEA. |
| 8 | + * |
| 9 | + * @author: ramswaroop |
| 10 | + * @date: 7/7/15 |
| 11 | + * @time: 4:34 PM |
| 12 | + */ |
| 13 | +public class MergeSortDoubleLinkedList { |
| 14 | + |
| 15 | + /** |
| 16 | + * Merge sort for linked list starting at {@param node}. |
| 17 | + * |
| 18 | + * @param node |
| 19 | + * @param <E> |
| 20 | + * @return |
| 21 | + */ |
| 22 | + public static <E extends Comparable<E>> DoubleLinkedNode<E> mergeSort(DoubleLinkedNode<E> node) { |
| 23 | + if (node == null || node.next == null) return node; |
| 24 | + |
| 25 | + DoubleLinkedNode<E> middleNode, head1, head2; |
| 26 | + |
| 27 | + middleNode = divideInTwoHalves(node); |
| 28 | + |
| 29 | + head1 = mergeSort(node); |
| 30 | + head2 = mergeSort(middleNode); |
| 31 | + |
| 32 | + return mergeTwoSortedLists(head1, head2); |
| 33 | + |
| 34 | + } |
| 35 | + |
| 36 | + |
| 37 | + /** |
| 38 | + * Divides a linked list starting from {@param node} into 2 halves |
| 39 | + * and returns the starting {@code node} of the second half. |
| 40 | + * |
| 41 | + * @param node |
| 42 | + * @param <E> |
| 43 | + * @return |
| 44 | + */ |
| 45 | + public static <E extends Comparable<E>> DoubleLinkedNode<E> divideInTwoHalves(DoubleLinkedNode<E> node) { |
| 46 | + DoubleLinkedNode<E> slow = node, fast = node, prev = slow; |
| 47 | + |
| 48 | + if (node == null || node.next == null) { |
| 49 | + return null; |
| 50 | + } |
| 51 | + |
| 52 | + while (fast != null && fast.next != null) { |
| 53 | + prev = slow; |
| 54 | + slow = slow.next; |
| 55 | + fast = fast.next.next; |
| 56 | + } |
| 57 | + prev.next = null; |
| 58 | + return slow; |
| 59 | + } |
| 60 | + |
| 61 | + |
| 62 | + /** |
| 63 | + * Merges two sorted lists starting at {@param node1} and {@param node2} |
| 64 | + * into one and returns its starting node. |
| 65 | + * <p/> |
| 66 | + * This method is similar to {@link MergeTwoSortedLists#mergeTwoSortedLists} |
| 67 | + * |
| 68 | + * @param node1 |
| 69 | + * @param node2 |
| 70 | + * @param <E> |
| 71 | + * @return |
| 72 | + */ |
| 73 | + public static <E extends Comparable<E>> DoubleLinkedNode<E> mergeTwoSortedLists(DoubleLinkedNode<E> node1, |
| 74 | + DoubleLinkedNode<E> node2) { |
| 75 | + DoubleLinkedNode<E> curr1 = node1, curr2 = node2, head, curr; |
| 76 | + |
| 77 | + if (node1 == null && node2 == null) return null; |
| 78 | + |
| 79 | + head = curr = new DoubleLinkedNode<>(null); // dummy node |
| 80 | + |
| 81 | + while (curr1 != null || curr2 != null) { |
| 82 | + // handle cases where either of the list run out first |
| 83 | + if (curr1 == null) { |
| 84 | + curr.next = curr2; |
| 85 | + curr2.prev = curr; |
| 86 | + curr2 = curr2.next; |
| 87 | + } else if (curr2 == null) { |
| 88 | + curr.next = curr1; |
| 89 | + curr1.prev = curr; |
| 90 | + curr1 = curr1.next; |
| 91 | + } else if (curr1.item.compareTo(curr2.item) < 0) { // advance the current pointer of the |
| 92 | + // list having smaller {@code item} |
| 93 | + curr.next = curr1; |
| 94 | + curr1.prev = curr; |
| 95 | + curr1 = curr1.next; |
| 96 | + } else if (curr1.item.compareTo(curr2.item) > 0) { |
| 97 | + curr.next = curr2; |
| 98 | + curr2.prev = curr; |
| 99 | + curr2 = curr2.next; |
| 100 | + } else { // both nodes are equal so add both to the result |
| 101 | + curr.next = curr1; |
| 102 | + curr = curr.next; |
| 103 | + curr1 = curr1.next; |
| 104 | + curr1.prev = curr; |
| 105 | + curr.next = curr2; |
| 106 | + curr2.prev = curr; |
| 107 | + curr2 = curr2.next; |
| 108 | + } |
| 109 | + |
| 110 | + curr = curr.next; |
| 111 | + } |
| 112 | + |
| 113 | + // the dummy node should be unlinked |
| 114 | + head.next.prev = null; |
| 115 | + |
| 116 | + // return the node next to the dummy node |
| 117 | + return head.next; |
| 118 | + } |
| 119 | + |
| 120 | + public static void main(String a[]) { |
| 121 | + DoubleLinkedList<Integer> linkedList = new DoubleLinkedList<>(); |
| 122 | + linkedList.add(21); |
| 123 | + linkedList.add(33); |
| 124 | + linkedList.add(89); |
| 125 | + linkedList.add(21); |
| 126 | + linkedList.add(44); |
| 127 | + linkedList.add(67); |
| 128 | + linkedList.printList(); |
| 129 | + linkedList.printList(mergeSort(linkedList.head)); |
| 130 | + } |
| 131 | +} |
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