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;
}
}
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
与垂直表示相比,水平表示有点复杂。垂直打印只是简单的RNL(右->节点->左或镜像的顺序)遍历,以便先打印右子树,然后打印左子树。
def printFullTree(root, delim=' ', idnt=[], left=None):
if root:
idnt.append(delim)
x, y = setDelims(left)
printFullTree(root.right, x, idnt, False)
indent2(root.val, idnt)
printFullTree(root.left, y, idnt, True)
idnt.pop()
def setDelims(left):
x = ' '; y='|'
return (y,x) if (left == True) else (x,y) if (left == False) else (x,x)
def indent2(x, idnt, width=6):
for delim in idnt:
print(delim + ' '*(width-1), end='')
print('|->', x)
output:
|-> 15
|-> 14
| |-> 13
|-> 12
| | |-> 11
| |-> 10
| |-> 9
|-> 8
| |-> 7
| |-> 6
| | |-> 4
|-> 3
| |-> 2
|-> 1
|-> 0
在水平表示中,显示由TreeMap的HashMap或HashMap<Integer, TreeMap<Integer, Object>> xy构建;其中HashMap包含节点的y轴/level_no作为Key, TreeMap作为value。Treemap内部保存同一级别的所有节点,按它们的x轴值排序,作为键,从最左端开始-ve,根=0,最右端=+ve。
如果使用自平衡树/Treap,则使用HashMap使算法在每个级别的O(1)查找中工作,并在O(logn)中使用TreeMap排序。
不过,在这样做的时候,不要忘记为空子存储占位符,例如' '/空格,这样树看起来就像预期的那样。
现在唯一剩下的就是计算水平节点的距离,这可以用一些数学计算来完成,
计算树的宽度和高度。 一旦完成,在显示节点时,根据计算的宽度,高度和倾斜信息(如果有的话),以最佳距离呈现它们。
其他回答
public void printPreety() {
List<TreeNode> list = new ArrayList<TreeNode>();
list.add(head);
printTree(list, getHeight(head));
}
public int getHeight(TreeNode head) {
if (head == null) {
return 0;
} else {
return 1 + Math.max(getHeight(head.left), getHeight(head.right));
}
}
/**
* pass head node in list and height of the tree
*
* @param levelNodes
* @param level
*/
private void printTree(List<TreeNode> levelNodes, int level) {
List<TreeNode> nodes = new ArrayList<TreeNode>();
//indentation for first node in given level
printIndentForLevel(level);
for (TreeNode treeNode : levelNodes) {
//print node data
System.out.print(treeNode == null?" ":treeNode.data);
//spacing between nodes
printSpacingBetweenNodes(level);
//if its not a leaf node
if(level>1){
nodes.add(treeNode == null? null:treeNode.left);
nodes.add(treeNode == null? null:treeNode.right);
}
}
System.out.println();
if(level>1){
printTree(nodes, level-1);
}
}
private void printIndentForLevel(int level){
for (int i = (int) (Math.pow(2,level-1)); i >0; i--) {
System.out.print(" ");
}
}
private void printSpacingBetweenNodes(int level){
//spacing between nodes
for (int i = (int) ((Math.pow(2,level-1))*2)-1; i >0; i--) {
System.out.print(" ");
}
}
Prints Tree in following format:
4
3 7
1 5 8
2 10
9
using map...
{
Map<Integer,String> m = new LinkedHashMap<>();
tn.printNodeWithLvl(node,l,m);
for(Entry<Integer, String> map :m.entrySet()) {
System.out.println(map.getValue());
}
then....method
private void printNodeWithLvl(Node node,int l,Map<Integer,String> m) {
if(node==null) {
return;
}
if(m.containsKey(l)) {
m.put(l, new StringBuilder(m.get(l)).append(node.value).toString());
}else {
m.put(l, node.value+"");
}
l++;
printNodeWithLvl( node.left,l,m);
printNodeWithLvl(node.right,l,m);
}
}
我发现VasyaNovikov的答案对于打印大型通用树非常有用,并将其修改为二叉树
代码:
class TreeNode {
Integer data = null;
TreeNode left = null;
TreeNode right = null;
TreeNode(Integer data) {this.data = data;}
public void print() {
print("", this, false);
}
public void print(String prefix, TreeNode n, boolean isLeft) {
if (n != null) {
System.out.println (prefix + (isLeft ? "|-- " : "\\-- ") + n.data);
print(prefix + (isLeft ? "| " : " "), n.left, true);
print(prefix + (isLeft ? "| " : " "), n.right, false);
}
}
}
样例输出:
\-- 7
|-- 3
| |-- 1
| | \-- 2
| \-- 5
| |-- 4
| \-- 6
\-- 11
|-- 9
| |-- 8
| \-- 10
\-- 13
|-- 12
\-- 14
下面是可视化树的另一种方法:将节点保存为xml文件,然后让浏览器显示层次结构:
class treeNode{
int key;
treeNode left;
treeNode right;
public treeNode(int key){
this.key = key;
left = right = null;
}
public void printNode(StringBuilder output, String dir){
output.append("<node key='" + key + "' dir='" + dir + "'>");
if(left != null)
left.printNode(output, "l");
if(right != null)
right.printNode(output, "r");
output.append("</node>");
}
}
class tree{
private treeNode treeRoot;
public tree(int key){
treeRoot = new treeNode(key);
}
public void insert(int key){
insert(treeRoot, key);
}
private treeNode insert(treeNode root, int key){
if(root == null){
treeNode child = new treeNode(key);
return child;
}
if(key < root.key)
root.left = insert(root.left, key);
else if(key > root.key)
root.right = insert(root.right, key);
return root;
}
public void saveTreeAsXml(){
StringBuilder strOutput = new StringBuilder();
strOutput.append("<?xml version=\"1.0\" encoding=\"UTF-8\"?>");
treeRoot.printNode(strOutput, "root");
try {
PrintWriter writer = new PrintWriter("C:/tree.xml", "UTF-8");
writer.write(strOutput.toString());
writer.close();
}
catch (FileNotFoundException e){
}
catch(UnsupportedEncodingException e){
}
}
}
下面是测试它的代码:
tree t = new tree(1);
t.insert(10);
t.insert(5);
t.insert(4);
t.insert(20);
t.insert(40);
t.insert(30);
t.insert(80);
t.insert(60);
t.insert(50);
t.saveTreeAsXml();
输出如下所示:
按行打印[大]树。
输出的例子:
z
├── c
│ ├── a
│ └── b
├── d
├── e
│ └── asdf
└── f
代码:
public class TreeNode {
final String name;
final List<TreeNode> children;
public TreeNode(String name, List<TreeNode> children) {
this.name = name;
this.children = children;
}
public String toString() {
StringBuilder buffer = new StringBuilder(50);
print(buffer, "", "");
return buffer.toString();
}
private void print(StringBuilder buffer, String prefix, String childrenPrefix) {
buffer.append(prefix);
buffer.append(name);
buffer.append('\n');
for (Iterator<TreeNode> it = children.iterator(); it.hasNext();) {
TreeNode next = it.next();
if (it.hasNext()) {
next.print(buffer, childrenPrefix + "├── ", childrenPrefix + "│ ");
} else {
next.print(buffer, childrenPrefix + "└── ", childrenPrefix + " ");
}
}
}
}
附注:这个答案并不完全关注“二叉”树——相反,它打印了各种类型的树。解决方案的灵感来自linux中的“树”命令。