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数据结构—二叉排序树(Java)

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说明

二叉排序树:BST: (Binary Sort(Search) Tree), 对于二叉排序树的任何一个非叶子节点,要求左子节点的值比当前节点的值小,右子节点的值比当前节点的值大

代码

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package cn.guizimo.binarysorttree;

public class BinarySortTree {
public static void main(String[] args) {
int[] arr = {7, 3, 10, 12, 5, 1, 9, 2};
BinarySortTreeDemo binarySortTree = new BinarySortTreeDemo();
for(int i = 0; i< arr.length; i++) {
binarySortTree.add(new Node(arr[i]));
}
System.out.println("中序遍历");
binarySortTree.infixOrder(); // 1, 3, 5, 7, 9, 10, 12
binarySortTree.delNode(12);
System.out.println("当前根节点root=" + binarySortTree.getRoot());
System.out.println("删除后中序遍历");
binarySortTree.infixOrder();
}

}


class BinarySortTreeDemo {
private Node root;

public Node getRoot() {
return root;
}

//查找当前节点
public Node search(int value) {
if (root == null) {
return null;
} else {
return root.search(value);
}
}

//找到最小值
public int delRightTreeMin(Node node) {
Node target = node;
while(target.left != null) {
target = target.left;
}
delNode(target.value);
return target.value;
}

//删除节点
public void delNode(int value) {
if (root == null) {
return;
} else {
//删除叶子节点
Node targetNode = search(value);
if (targetNode == null) {
return;
}
if (root.left == null && root.right == null) {
root = null;
return;
}
Node parent = searchParent(value);
if (targetNode.left == null && targetNode.right == null) {
if (parent.left != null && parent.left.value == value) {
parent.left = null;
} else if (parent.right != null && parent.right.value == value) {
parent.right = null;
}
//删除两颗子树的节点
} else if (targetNode.left != null && targetNode.right != null) {
int i = delRightTreeMin(targetNode.right);
targetNode.value = i;
//删除一颗子树的节点
} else {
if (targetNode.left != null) {
if (parent != null) {
if (parent.left.value == value) {
parent.left = targetNode.left;
} else {
parent.right = targetNode.right;
}
} else {
root = targetNode.left;
}
} else {
if (parent != null) {
if (parent.left.value == value) {
parent.left = targetNode.right;
} else if (parent.right.value == value) {
parent.right = targetNode.right;
}
} else {
root = targetNode.right;
}
}
}
}
}

//查询当前节点的父节点
public Node searchParent(int value) {
if (root == null) {
return null;
} else {
return root.searchParent(value);
}
}

//添加节点
public void add(Node node) {
if (root == null) {
root = node;
} else {
root.add(node);
}
}

//中序遍历
public void infixOrder() {
if (root != null) {
root.infixOrder();
} else {
System.out.println("");
}
}

}

class Node {
int value;
Node left;
Node right;

public Node(int value) {
this.value = value;
}

@Override
public String toString() {
return "Node{" +
"value=" + value +
'}';
}

//查找节点
public Node search(int value) {
if (value == this.value) {
return this;
} else if (value < this.value) {
if (this.left == null) {
return null;
}
return this.left.search(value);
} else {
if (this.right == null) {
return null;
}
return this.right.search(value);
}
}

//查询父节点
public Node searchParent(int value) {
if ((this.left != null && this.left.value == value) ||
(this.right != null && this.right.value == value)) {
return this;
} else {
if (value < this.value && this.left != null) {
return this.left.searchParent(value);
} else if (value >= this.value && this.right != null) {
return this.right.searchParent(value);
} else {
return null;
}
}
}

//添加节点
public void add(Node node) {
if (node == null) {
return;
}
if (node.value < this.value) {
if (this.left == null) {
this.left = node;
} else {
this.left.add(node);
}
} else {
if (this.right == null) {
this.right = node;
} else {
this.right.add(node);
}
}
}

//中序遍历
public void infixOrder() {
if (this.left != null) {
this.left.infixOrder();
}
System.out.println(this);
if (this.right != null) {
this.right.infixOrder();
}
}

}

测试

image-20200828202928513

感谢

尚硅谷

以及勤劳的自己

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