我如何在Java中打印一个二叉树,这样输出就像:

   4 
  / \ 
 2   5 

我的节点:

public class Node<A extends Comparable> {
    Node<A> left, right;
    A data;

    public Node(A data){
        this.data = data;
    }
}

当前回答

在控制台打印:

                                                500
                       700                                             300   
    200                                   400                                                                                          

简单代码:

public int getHeight()
    {
        if(rootNode == null) return -1;
        return getHeight(rootNode);
    }

    private int getHeight(Node node)
    {
        if(node == null) return -1;

        return Math.max(getHeight(node.left), getHeight(node.right)) + 1;
    }

    public void printBinaryTree(Node rootNode)
    {
        Queue<Node> rootsQueue = new LinkedList<Node>();
        Queue<Node> levelQueue = new LinkedList<Node>();
        levelQueue.add(rootNode);
        int treeHeight = getHeight();
        int firstNodeGap;
        int internalNodeGap;
        int copyinternalNodeGap;
        while(true)
        {
            System.out.println("");
            internalNodeGap = (int)(Math.pow(2, treeHeight + 1) -1);  
            copyinternalNodeGap = internalNodeGap;
            firstNodeGap = internalNodeGap/2;

            boolean levelFirstNode = true;

            while(!levelQueue.isEmpty())
            {
                internalNodeGap = copyinternalNodeGap;
                Node currNode = levelQueue.poll();
                if(currNode != null)
                {
                    if(levelFirstNode)
                    {
                        while(firstNodeGap > 0)
                        {
                            System.out.format("%s", "   ");
                            firstNodeGap--; 
                        }
                        levelFirstNode =false;
                    }
                    else
                    {
                        while(internalNodeGap>0)
                        {
                            internalNodeGap--;
                            System.out.format("%s", "   ");
                        }
                    }
                    System.out.format("%3d",currNode.data);
                    rootsQueue.add(currNode);
                }
            }

            --treeHeight;

            while(!rootsQueue.isEmpty())
            {
                Node currNode = rootsQueue.poll();
                if(currNode != null)
                {
                    levelQueue.add(currNode.left);
                    levelQueue.add(currNode.right);
                }
            }

            if(levelQueue.isEmpty()) break;
        }

    }

其他回答

改编自Vasya Novikov的答案,使其更二进制,并使用StringBuilder提高效率(在Java中将String对象连接在一起通常效率很低)。

public StringBuilder toString(StringBuilder prefix, boolean isTail, StringBuilder sb) {
    if(right!=null) {
        right.toString(new StringBuilder().append(prefix).append(isTail ? "│   " : "    "), false, sb);
    }
    sb.append(prefix).append(isTail ? "└── " : "┌── ").append(value.toString()).append("\n");
    if(left!=null) {
        left.toString(new StringBuilder().append(prefix).append(isTail ? "    " : "│   "), true, sb);
    }
    return sb;
}

@Override
public String toString() {
    return this.toString(new StringBuilder(), true, new StringBuilder()).toString();
}

输出:

│       ┌── 7
│   ┌── 6
│   │   └── 5
└── 4
    │   ┌── 3
    └── 2
        └── 1
            └── 0

迈克尔。克鲁兹曼,我不得不说,这人不错。这很有用。

然而,上面的方法只适用于个位数:如果您要使用多个数字,结构将会错位,因为您使用的是空格而不是制表符。

至于我后来的代码,我需要更多的数字,所以我自己编写了一个程序。

它现在有一些bug,现在我感觉很懒去纠正它们,但它打印得非常漂亮,节点可以接受更大数量的数字。

这棵树不会像问题提到的那样,但它旋转了270度:)

public static void printBinaryTree(TreeNode root, int level){
    if(root==null)
         return;
    printBinaryTree(root.right, level+1);
    if(level!=0){
        for(int i=0;i<level-1;i++)
            System.out.print("|\t");
        System.out.println("|-------"+root.val);
    }
    else
        System.out.println(root.val);
    printBinaryTree(root.left, level+1);
}    

将此函数与您自己指定的TreeNode一起放置,并保持初始级别为0,并享受!

以下是一些输出示例:

|       |       |-------11
|       |-------10
|       |       |-------9
|-------8
|       |       |-------7
|       |-------6
|       |       |-------5
4
|       |-------3
|-------2
|       |-------1


|       |       |       |-------10
|       |       |-------9
|       |-------8
|       |       |-------7
|-------6
|       |-------5
4
|       |-------3
|-------2
|       |-------1

唯一的问题是延伸的分支;我会尽快解决这个问题,但在此之前你也可以使用它。

private StringBuilder prettyPrint(Node root, int currentHeight, int totalHeight) {
        StringBuilder sb = new StringBuilder();
        int spaces = getSpaceCount(totalHeight-currentHeight + 1);
        if(root == null) {
            //create a 'spatial' block and return it
            String row = String.format("%"+(2*spaces+1)+"s%n", "");
            //now repeat this row space+1 times
            String block = new String(new char[spaces+1]).replace("\0", row);
            return new StringBuilder(block);
        }
        if(currentHeight==totalHeight) return new StringBuilder(root.data+"");
        int slashes = getSlashCount(totalHeight-currentHeight +1);
        sb.append(String.format("%"+(spaces+1)+"s%"+spaces+"s", root.data+"", ""));
        sb.append("\n");
        //now print / and \
        // but make sure that left and right exists
        char leftSlash = root.left == null? ' ':'/';
        char rightSlash = root.right==null? ' ':'\\';
        int spaceInBetween = 1;
        for(int i=0, space = spaces-1; i<slashes; i++, space --, spaceInBetween+=2) {
            for(int j=0; j<space; j++) sb.append(" ");
            sb.append(leftSlash);
            for(int j=0; j<spaceInBetween; j++) sb.append(" ");
            sb.append(rightSlash+"");
            for(int j=0; j<space; j++) sb.append(" ");
            sb.append("\n");
        }
        //sb.append("\n");

        //now get string representations of left and right subtrees
        StringBuilder leftTree = prettyPrint(root.left, currentHeight+1, totalHeight);
        StringBuilder rightTree = prettyPrint(root.right, currentHeight+1, totalHeight);
        // now line by line print the trees side by side
        Scanner leftScanner = new Scanner(leftTree.toString());
        Scanner rightScanner = new Scanner(rightTree.toString());
//      spaceInBetween+=1;
        while(leftScanner.hasNextLine()) {
            if(currentHeight==totalHeight-1) {
                sb.append(String.format("%-2s %2s", leftScanner.nextLine(), rightScanner.nextLine()));
                sb.append("\n");
                spaceInBetween-=2;              
            }
            else {
                sb.append(leftScanner.nextLine());
                sb.append(" ");
                sb.append(rightScanner.nextLine()+"\n");
            }
        }

        return sb;

    }
private int getSpaceCount(int height) {
        return (int) (3*Math.pow(2, height-2)-1);
    }
private int getSlashCount(int height) {
        if(height <= 3) return height -1;
        return (int) (3*Math.pow(2, height-3)-1);
    }

https://github.com/murtraja/java-binary-tree-printer

只适用于1到2位整数(我懒得让它通用)

这是打印树的一个非常简单的解决方案。它不是那么漂亮,但它真的很简单:

enum { kWidth = 6 };
void PrintSpace(int n)
{
  for (int i = 0; i < n; ++i)
    printf(" ");
}

void PrintTree(struct Node * root, int level)
{
  if (!root) return;
  PrintTree(root->right, level + 1);
  PrintSpace(level * kWidth);
  printf("%d", root->data);
  PrintTree(root->left, level + 1);
}

样例输出:

      106
            105
104
            103
                  102
                        101
      100

我为此做了一个改进的算法,可以很好地处理不同大小的节点。它使用行自上而下地打印。

package alg;

import java.util.ArrayList;
import java.util.List;


/**
 * Binary tree printer
 * 
 * @author MightyPork
 */
public class TreePrinter
{
    /** Node that can be printed */
    public interface PrintableNode
    {
        /** Get left child */
        PrintableNode getLeft();


        /** Get right child */
        PrintableNode getRight();


        /** Get text to be printed */
        String getText();
    }


    /**
     * Print a tree
     * 
     * @param root
     *            tree root node
     */
    public static void print(PrintableNode root)
    {
        List<List<String>> lines = new ArrayList<List<String>>();

        List<PrintableNode> level = new ArrayList<PrintableNode>();
        List<PrintableNode> next = new ArrayList<PrintableNode>();

        level.add(root);
        int nn = 1;

        int widest = 0;

        while (nn != 0) {
            List<String> line = new ArrayList<String>();

            nn = 0;

            for (PrintableNode n : level) {
                if (n == null) {
                    line.add(null);

                    next.add(null);
                    next.add(null);
                } else {
                    String aa = n.getText();
                    line.add(aa);
                    if (aa.length() > widest) widest = aa.length();

                    next.add(n.getLeft());
                    next.add(n.getRight());

                    if (n.getLeft() != null) nn++;
                    if (n.getRight() != null) nn++;
                }
            }

            if (widest % 2 == 1) widest++;

            lines.add(line);

            List<PrintableNode> tmp = level;
            level = next;
            next = tmp;
            next.clear();
        }

        int perpiece = lines.get(lines.size() - 1).size() * (widest + 4);
        for (int i = 0; i < lines.size(); i++) {
            List<String> line = lines.get(i);
            int hpw = (int) Math.floor(perpiece / 2f) - 1;

            if (i > 0) {
                for (int j = 0; j < line.size(); j++) {

                    // split node
                    char c = ' ';
                    if (j % 2 == 1) {
                        if (line.get(j - 1) != null) {
                            c = (line.get(j) != null) ? '┴' : '┘';
                        } else {
                            if (j < line.size() && line.get(j) != null) c = '└';
                        }
                    }
                    System.out.print(c);

                    // lines and spaces
                    if (line.get(j) == null) {
                        for (int k = 0; k < perpiece - 1; k++) {
                            System.out.print(" ");
                        }
                    } else {

                        for (int k = 0; k < hpw; k++) {
                            System.out.print(j % 2 == 0 ? " " : "─");
                        }
                        System.out.print(j % 2 == 0 ? "┌" : "┐");
                        for (int k = 0; k < hpw; k++) {
                            System.out.print(j % 2 == 0 ? "─" : " ");
                        }
                    }
                }
                System.out.println();
            }

            // print line of numbers
            for (int j = 0; j < line.size(); j++) {

                String f = line.get(j);
                if (f == null) f = "";
                int gap1 = (int) Math.ceil(perpiece / 2f - f.length() / 2f);
                int gap2 = (int) Math.floor(perpiece / 2f - f.length() / 2f);

                // a number
                for (int k = 0; k < gap1; k++) {
                    System.out.print(" ");
                }
                System.out.print(f);
                for (int k = 0; k < gap2; k++) {
                    System.out.print(" ");
                }
            }
            System.out.println();

            perpiece /= 2;
        }
    }
}

要在树中使用它,让Node类实现PrintableNode。

示例输出:

                                         2952:0                                             
                    ┌───────────────────────┴───────────────────────┐                       
                 1249:-1                                         5866:0                     
        ┌───────────┴───────────┐                       ┌───────────┴───────────┐           
     491:-1                  1572:0                  4786:1                  6190:0         
  ┌─────┘                                               └─────┐           ┌─────┴─────┐     
339:0                                                      5717:0      6061:0      6271:0