java 树操作_树的各种操作java

本文介绍了一种二叉树的数据结构,并实现了其前序、中序、后序及层次遍历的方法。同时,文章还提供了一种计算二叉树高度及节点最大最小值所在层级差距的算法。

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packagemystudy;importjava.io.UnsupportedEncodingException;importjava.util.LinkedList;importjava.util.Queue;importjava.util.Stack;public classTree {privateTreeNode root;publicTree() {

};publicTree(TreeNode root) {this.root =root;

}public voidinitTree() {

root= new TreeNode(8);

root.setLeft(new TreeNode(5));

root.getLeft().setLeft(new TreeNode(7));

root.getLeft().setRight(new TreeNode(4));

root.setRight(new TreeNode(9));

root.getRight().setRight(new TreeNode(6));

root.getRight().setLeft(new TreeNode(10));

}public voidpreOrderTraverse() {

preOrderTraverse(root);

}public voidpreOrderTraverse(TreeNode node) {if (node != null) {

System.out.println(node.getValue());

preOrderTraverse(node.getLeft());

preOrderTraverse(node.getRight());

}

}public voidnPreOrderTraverse() {

Stack stack = new Stack();

TreeNode node=root;while (node != null || !stack.isEmpty()) {while (node != null) {

System.out.println(node.getValue());

stack.push(node);

node=node.getLeft();

}if (!stack.isEmpty()) {

node=stack.pop();

node=node.getRight();

}

}

}public voidinOrderTraverse() {

inOrderTraverse(root);

}public voidinOrderTraverse(TreeNode node) {if (node != null) {

inOrderTraverse(node.getLeft());

System.out.println(node.getValue());

inOrderTraverse(node.getRight());

}

}public voidnInOrderTraverse() {

Stack stack = new Stack();

TreeNode node=root;while (node != null || !stack.isEmpty()) {while (node != null) {

stack.push(node);

node=node.getLeft();

}if (!stack.isEmpty()) {

node=stack.pop();

System.out.println(node.getValue());

node=node.getRight();

}

}

}public voidpostOrderTraverse() {

postOrderTraverse(root);

}public voidpostOrderTraverse(TreeNode node) {if (node != null) {

postOrderTraverse(node.getLeft());

postOrderTraverse(node.getRight());

System.out.println(node.getValue());

}

}public voidnPostOrderTraverse() {

Stack stack = new Stack();

TreeNode node=root;

TreeNode preNode= null;while (node != null || !stack.isEmpty()) {while (node != null) {

stack.push(node);

node=node.getLeft();

}if (!stack.isEmpty()) {

node=stack.peek();if (node.getRight() == null || node.getRight() ==preNode) {

node=stack.pop();

System.out.println(node.getValue());

preNode=node;

node= null;

}else{

node=node.getRight();

}

}

}

}public voidlevelTraverse() {

levelTraverse(root);

}public voidlevelTraverse(TreeNode node) {if (node != null) {

Queue queue = new LinkedList();

queue.offer(node);while (!queue.isEmpty()) {

TreeNode mNode=queue.poll();if (mNode != null) {

System.out.println(mNode.getValue());if (mNode.getLeft() != null) {

queue.offer(mNode.getLeft());

}if (mNode.getRight() != null) {

queue.offer(mNode.getRight());

}

}

}

}

}public inttreeDepth() {returntreeDepth(root);

}public inttreeDepth(TreeNode node) {if (node == null) {return 0;

}int leftDepth =treeDepth(node.getLeft());int rightDepth =treeDepth(node.getRight());return leftDepth > rightDepth ? leftDepth + 1 : rightDepth + 1;

}public intminMaxSpan() {

Queue queue = new LinkedList();if (root != null) {int visitedNum = 0, addedNum = 1, levelNum = 1, min, max, depth = 0, minLevel = 0, maxLevel = 0;

min= max =root.getValue();

queue.offer(root);while (!queue.isEmpty()) {

TreeNode mNode=queue.poll();if (min >mNode.getValue()) {

min=mNode.getValue();

minLevel=depth;

}else if (max

max=mNode.getValue();

maxLevel=depth;

}

visitedNum++;if (mNode.getLeft() != null) {

queue.offer(mNode.getLeft());

addedNum++;

}if (mNode.getRight() != null) {

queue.offer(mNode.getRight());

addedNum++;

}if (visitedNum ==levelNum) {

depth++;

levelNum=addedNum;

}

}

System.out.println("min:" + min + "max:" + max + "minLevel:"

+ minLevel + "maxLevel:" + maxLevel + "树的高度:" +depth);return Math.abs(minLevel -maxLevel);

}return -1;

}public classTreeNode {privateTreeNode left;privateTreeNode right;private intvalue;public TreeNode(TreeNode left, TreeNode right, intvalue) {this.left =left;this.right =right;this.value =value;

}public TreeNode(intvalue) {this(null, null, value);

}publicTreeNode getLeft() {returnleft;

}public voidsetLeft(TreeNode left) {this.left =left;

}publicTreeNode getRight() {returnright;

}public voidsetRight(TreeNode right) {this.right =right;

}public intgetValue() {returnvalue;

}public void setValue(intvalue) {this.value =value;

}

}/***@paramargs

*@throwsUnsupportedEncodingException*/

public static void main(String[] args) throwsUnsupportedEncodingException {//TODO Auto-generated method stub

Tree tree = newTree();

tree.initTree();

System.out.println("树中最大值最小值层数之差:" +tree.minMaxSpan());

System.out.println("前序递归:");

tree.preOrderTraverse();

System.out.println("前序非递归:");

tree.nPreOrderTraverse();

System.out.println("中序递归:");

tree.inOrderTraverse();

System.out.println("中序非递归:");

tree.nInOrderTraverse();

System.out.println("后序递归:");

tree.postOrderTraverse();

System.out.println("后序非递归:");

tree.nPostOrderTraverse();

System.out.println("按层次遍历:");

tree.levelTraverse();

System.out.println("树的高度:" +tree.treeDepth());

}

}

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