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名师互学网 > IT > 软件开发 > 后端开发 > Java

java二叉查找树的实现代码

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java二叉查找树的实现代码

本文实例为大家分享了java二叉查找树的具体代码,供大家参考,具体内容如下

package 查找;

import edu.princeton.cs.algs4.Queue;
import edu.princeton.cs.algs4.StdOut;

public class BST, Value> {
  private class Node {
    private Key key; // 键
    private Value value;// 值
    private Node left, right; // 指向子树的链接
    private int n; // 以该节点为根的子树中的节点总数

    public Node(Key key, Value val, int n) {
      this.key = key;
      this.value = val;
      this.n = n;
    }
  }

  private Node root;

  public int size() {
    return size(root);
  }

  private int size(Node x) {
    if (x == null)
      return 0;
    else
      return x.n;
  }

  
  public Value get(Key key) {
    return get(root, key);
  }

  private Value get(Node x, Key key) {
    if (x == null)
      return null;
    int cmp = key.compareTo(x.key);
    if (cmp < 0)
      return get(x.left, key);
    else if (cmp > 0)
      return get(x.right, key);
    else
      return x.value;
  }

  
  public void put(Key key, Value val) {
    root = put(root, key, val);
  }

  private Node put(Node x, Key key, Value val) {
    if (x == null)
      return new Node(key, val, 1);
    int cmp = key.compareTo(x.key);
    if (cmp < 0)
      x.left = put(x.left, key, val);
    else if (cmp > 0)
      x.right = put(x.right, key, val);
    else
      x.value = val;
    x.n = size(x.left) + size(x.right); // 要及时更新节点的子树数量
    return x;
  }

  public Key min() {
    return min(root).key;
  }

  private Node min(Node x) {
    if (x.left == null)
      return x;
    return min(x.left);
  }

  public Key max() {
    return max(root).key;
  }

  private Node max(Node x) {
    if (x.right == null)
      return x;
    return min(x.right);
  }

  
  public Key floor(Key key) {
    Node x = floor(root, key);
    if (x == null)
      return null;
    else
      return x.key;
  }

  
  private Node floor(Node x, Key key) {
    if (x == null)
      return null;
    int cmp = key.compareTo(x.key);
    if (cmp == 0)
      return x;
    else if (cmp < 0)
      return floor(x.left, key);
    else {
      Node t = floor(x.right, key);
      if (t == null)
 return x;
      else
 return t;
    }
  }

  
  public Key ceiling(Key key) {
    Node x = ceiling(root, key);
    if (x == null)
      return null;
    else
      return x.key;
  }

  
  private Node ceiling(Node x, Key key) {
    if (x == null)
      return null;
    int cmp = key.compareTo(x.key);
    if (cmp == 0)
      return x;
    else if (cmp > 0) {
      return ceiling(x.right, key);
    } else {
      Node t = floor(x.left, key);
      if (t == null)
 return x;
      else
 return t;
    }
  }

  
  public Key select(int k) {
    return select(root, k).key;
  }

  private Node select(Node x, int k) {
    if (x == null)
      return null;
    int t = size(x.left);
    if (t > k)
      return select(x.left, k);
    else if (t < k)
      return select(x.right, k - t - 1);// 根节点也要排除掉
    else
      return x;
  }

  
  public int rank(Key key) {
    return rank(key, root);
  }

  private int rank(Key key, Node x) {
    if (x == null)
      return 0;
    int cmp = key.compareTo(x.key);
    if (cmp < 0)
      return rank(key, x.left);
    else if (cmp > 0)
      return 1 + size(x.left) + rank(key, x.right);
    else
      return size(x.left);
  }
  
  public void deleteMin(){
    root = deleteMin(root);
  }
  
  private Node deleteMin(Node x){
    if(x.left == null) return x.right;
    x.left = deleteMin(x.left);
    x.n = size(x.left)+size(x.right) + 1;
    return x;
  }
  
  public void deleteMax(){
    root = deleteMax(root);
  }
  private Node deleteMax(Node x){
    if(x.right == null ) return x.left;
    x.right = deleteMax(x.right);
    x.n = size(x.left)+size(x.right) + 1;
    return x;
  }
  
  public void delete(Key key){
    root = delete(root,key);
  }
  private Node delete(Node x, Key key){
    if(x == null) return null;
    int cmp = key.compareTo(x.key);
    if(cmp < 0) x.left = delete(x.left,key);
    else if(cmp > 0) x.right = delete(x.right,key);
    else{
      if(x.right == null) return x.left;
      if(x.left == null ) return x.right;
      
      Node t = x;
      x = min(t.right);
      x.left = t.left;
      x.right = deleteMin(t.right);
    }
    x.n = size(x.left) + size(x.right) +1;
    return x;
  }
  
  public void print(){
    print(root);
  }
  private void print(Node x){
    if(x == null ) return;
    print(x.left);
    StdOut.println(x.key);
    print(x.right);
  }
  
  public Iterable keys(){
    return keys(min(),max());
  }
  public Iterable keys(Key lo, Key hi){
    Queue queue = new Queue();
    keys(root, queue, lo, hi);
    return queue;
  }
  private void keys(Node x, Queue queue, Key lo, Key hi){
    if(x == null) return;
    int cmplo = lo.compareTo(x.key);
    int cmphi = lo.compareTo(x.key);
    if(cmplo < 0 ) keys(x.left,queue,lo,hi);
    if(cmplo <= 0 && cmphi >= 0) queue.enqueue(x.key);
    if(cmphi > 0 ) keys(x.right,queue,lo,hi);
  }
}

以上就是本文的全部内容,希望对大家的学习有所帮助,也希望大家多多支持考高分网。

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