Java跳躍表是一種基于有序鏈表的數(shù)據(jù)結(jié)構(gòu),它通過快速跳躍的方式實現(xiàn)了類似于二叉樹的查找和插入操作,具有高效、簡單、實用等優(yōu)點。
跳躍表的結(jié)構(gòu)由多級鏈表組成,每一級鏈表都是有序的,并且每一級鏈表的節(jié)點數(shù)隨著級別的增加而逐漸減少,從而滿足在不增加時間復(fù)雜度的前提下提高平均查詢和插入效率的要求。
public class SkipList { private static final double P = 0.5; private SkipListNode head; private int levels; private Random random; public SkipList() { head = new SkipListNode(Integer.MIN_VALUE); random = new Random(); } public boolean contains(int value) { SkipListNode node = findNode(value); return node != null && node.value == value; } public void insert(int value) { SkipListNode node = new SkipListNode(value); insertNode(node); } private void insertNode(SkipListNode node) { int level = 0; while (random.nextDouble()< P) { level++; } while (levels< level) { SkipListNode newHead = new SkipListNode(Integer.MIN_VALUE); newHead.down = head; head = newHead; levels++; } SkipListNode cur = head; SkipListNode pre = null; while (cur != null) { if (cur.value == node.value) { cur.value = node.value; return; } if (cur.value >node.value) { if (pre != null) { node.down = pre.next; pre.next = node; } break; } pre = cur; cur = cur.next; if (cur == null) { if (pre != null) { node.down = pre.next; pre.next = node; cur = node.down; } else { cur = node; } break; } } while (random.nextDouble()< P && levels< level) { SkipListNode newHead = new SkipListNode(Integer.MIN_VALUE); newHead.down = head; head = newHead; levels++; SkipListNode upNode = new SkipListNode(node.value); upNode.down = node; SkipListNode preNode = head; SkipListNode curNode = preNode.next; while (curNode != null && curNode != cur) { preNode = curNode; curNode = curNode.next; } preNode.next = upNode; upNode.next = curNode; node = upNode; } } private SkipListNode findNode(int value) { SkipListNode cur = head; while (cur != null) { if (cur.value == value) { return cur; } if (cur.value >value) { cur = cur.down; if (cur == null) { return null; } } else { cur = cur.next; } } return null; } private class SkipListNode { int value; SkipListNode next = null; SkipListNode down = null; public SkipListNode(int value) { this.value = value; } } }
上面的代碼實現(xiàn)了跳躍表的基本功能,包括查找節(jié)點、插入節(jié)點等操作。其中使用了隨機(jī)數(shù)來確定每個節(jié)點的級別,并根據(jù)級別插入節(jié)點到相應(yīng)的鏈表中。關(guān)于跳躍表的更多應(yīng)用以及其他實現(xiàn)方式,讀者可以自行查閱相關(guān)資料。