1.构造二叉树
构造如图所示的二叉树
public static BinaryCharTree manualConstructTree(){
BinaryCharTree resultTree = new BinaryCharTree('a');
BinaryCharTree tempTreeB = new BinaryCharTree('b');
BinaryCharTree tempTreeC = new BinaryCharTree('c');
BinaryCharTree tempTreeD = new BinaryCharTree('d');
BinaryCharTree tempTreeE = new BinaryCharTree('e');
BinaryCharTree tempTreeF = new BinaryCharTree('f');
BinaryCharTree tempTreeG = new BinaryCharTree('g');
resultTree.leftChild = tempTreeB;
resultTree.rightChild = tempTreeC;
tempTreeB.rightChild = tempTreeD;
tempTreeC.leftChild = tempTreeE;
tempTreeD.leftChild = tempTreeF;
tempTreeD.rightChild = tempTreeG;
return resultTree;
}
2.遍历二叉树
public void preOrderVisit(){
System.out.print("" + value + " ");
if(leftChild != null)
leftChild.preOrderVisit();
if (rightChild != null)
rightChild.preOrderVisit();
}
public void inOrderVisit(){
if(leftChild != null)
leftChild.inOrderVisit();
System.out.print("" + value + " ");
if(rightChild != null)
rightChild.inOrderVisit();
}
public void postOrderVisit(){
if(leftChild != null)
leftChild.postOrderVisit();
if(rightChild != null)
rightChild.postOrderVisit();
System.out.print("" + value + " ");
}
3.计算二叉树的深度
public int getDepth() {
if((leftChild == null)&&(rightChild == null)){
return 1;
}
int tempLeftDepth = 0;
if(leftChild != null){
tempLeftDepth = leftChild.getDepth();
}
int tempRightDepth =0;
if(rightChild != null){
tempRightDepth = rightChild.getDepth();
}
if(tempLeftDepth >= tempRightDepth)
return tempLeftDepth + 1;
else {
return tempRightDepth + 1;
}
}
4.求二叉树的节点个数
public int getNumNodes(){
if((leftChild == null)&&(rightChild == null)){
return 1;
}
int tempLeftNodes = 0;
if(leftChild != null){
tempLeftNodes = leftChild.getNumNodes();
}
int tempRightNodes = 0;
if(rightChild != null)
tempRightNodes = rightChild.getNumNodes();
return tempLeftNodes + tempRightNodes + 1;
}
完整代码实现
package datastructure.tree;
import java.util.Arrays;
public class BinaryCharTree{
char value;
BinaryCharTree leftChild;
BinaryCharTree rightChild;
public BinaryCharTree(char paraName){
value = paraName;
leftChild = null;
rightChild = null;
}
public static BinaryCharTree manualConstructTree(){
BinaryCharTree resultTree = new BinaryCharTree('a');
BinaryCharTree tempTreeB = new BinaryCharTree('b');
BinaryCharTree tempTreeC = new BinaryCharTree('c');
BinaryCharTree tempTreeD = new BinaryCharTree('d');
BinaryCharTree tempTreeE = new BinaryCharTree('e');
BinaryCharTree tempTreeF = new BinaryCharTree('f');
BinaryCharTree tempTreeG = new BinaryCharTree('g');
resultTree.leftChild = tempTreeB;
resultTree.rightChild = tempTreeC;
tempTreeB.rightChild = tempTreeD;
tempTreeC.leftChild = tempTreeE;
tempTreeD.leftChild = tempTreeF;
tempTreeD.rightChild = tempTreeG;
return resultTree;
}
public void preOrderVisit(){
System.out.print("" + value + " ");
if(leftChild != null)
leftChild.preOrderVisit();
if (rightChild != null)
rightChild.preOrderVisit();
}
public void inOrderVisit(){
if(leftChild != null)
leftChild.inOrderVisit();
System.out.print("" + value + " ");
if(rightChild != null)
rightChild.inOrderVisit();
}
public void postOrderVisit(){
if(leftChild != null)
leftChild.postOrderVisit();
if(rightChild != null)
rightChild.postOrderVisit();
System.out.print("" + value + " ");
}
public int getDepth() {
if((leftChild == null)&&(rightChild == null)){
return 1;
}
int tempLeftDepth = 0;
if(leftChild != null){
tempLeftDepth = leftChild.getDepth();
}
int tempRightDepth =0;
if(rightChild != null){
tempRightDepth = rightChild.getDepth();
}
if(tempLeftDepth >= tempRightDepth)
return tempLeftDepth + 1;
else {
return tempRightDepth + 1;
}
}
public int getNumNodes(){
if((leftChild == null)&&(rightChild == null)){
return 1;
}
int tempLeftNodes = 0;
if(leftChild != null){
tempLeftNodes = leftChild.getNumNodes();
}
int tempRightNodes = 0;
if(rightChild != null)
tempRightNodes = rightChild.getNumNodes();
return tempLeftNodes + tempRightNodes + 1;
}
public static void main(String args[]) {
BinaryCharTree tempTree = manualConstructTree();
System.out.println("\r\nPreorder visit:");
tempTree.preOrderVisit();
System.out.println("\r\nIn-order visit:");
tempTree.inOrderVisit();
System.out.println("\r\nPost-order visit:");
tempTree.postOrderVisit();
System.out.println("\r\n\r\nThe depth is: " + tempTree.getDepth());
System.out.println("The number of nodes is: " + tempTree.getNumNodes());
}
}
运行结果:
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