二叉树及其应用--二叉树遍历

版权声明:本文为博主原创文章,未经博主允许不得转载。 https://blog.csdn.net/z861269429/article/details/51774947

给定二叉树的广义表表示,构造二叉树并输出二叉树的四种遍历顺序。

输入说明:
输入仅一行,该行仅由‘(’、‘)’、‘,’以及大小写字符构成的二叉树的广义表表示,字符串长度不超过100。
输出说明:
在接下来的四行中依行输出二叉树的四种遍历
输入样列:
A(B(D,),C(E,F(,H)))
输出样列:
ABDCEFH
DBAECFH
DBEHFCA
ABCDEFTHab

#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <queue>
#include <cctype>
using namespace std;
#define N 100
typedef char Element;
struct Node
{
    Element data;
    struct Node *lchild;
    struct Node *rchild;
};
typedef struct Node BTNode;
typedef struct Node * BTree;
BTree Create_BTree(char s[]);
BTree NewNode(Element x);
void Pre_Order(BTree root);
void In_Order(BTree root);
void Post_Order(BTree root);
void Level_Order(BTree root);
int main()
{
    char s[N];
    BTree root=NULL;
    gets(s);
    root=Create_BTree(s);
    Pre_Order(root);
    printf("\n");
    In_Order(root);
    printf("\n");
    Post_Order(root);
    printf("\n");
    Level_Order(root);
    printf("\n");
    return 0;
}
BTree NewNode(Element x)
{
    BTree p=(BTree)malloc(sizeof(BTNode));
    p‐>data=x;
    p‐>lchild=NULL;
    p‐>rchild=NULL;
    return p;
}
BTree Create_BTree(char s[])
{
    int i,k,top;
    BTree path[N],p;
    k=0;
    top=‐1;
    for(i=0;s[i]!='\0';i++)
    {
        switch(s[i])
        { 
        case '(':
            path[++top]=p;
            k=1;
            break;
        case ',':
            k=2;
            break;
        case ')':
            top‐‐;
            break;
        } 
        if(isalpha(s[i]))
        {
            p=NewNode(s[i]);
            if(k==1)
                path[top]‐>lchild=p;
            else if(k==2)
                path[top]‐>rchild=p;
        }
    } 
    return path[0];
}
void Pre_Order(BTree root)
{
    if(root!=NULL)
    {
        printf("%c",root‐>data);
        Pre_Order(root‐>lchild);
        Pre_Order(root‐>rchild);
    }
}
void In_Order(BTree root)
{
    if(root!=NULL)
    {
        In_Order(root‐>lchild);
        printf("%c",root‐>data);
        In_Order(root‐>rchild);
    }
}
void Post_Order(BTree root)
{
    if(root!=NULL)
    {
        Post_Order(root‐>lchild);
        Post_Order(root‐>rchild);
        printf("%c",root‐>data);
    }
}
void Level_Order(BTree root)
{
    BTree q[N],p;
    int front=0 ,rear=0;
    if(root!=NULL)
    {
        rear=(rear+1)%N;
        q[rear]=root;
    } 
    while(front!=rear)
    {
        front=(front+1)%N;
        p=q[front];
        printf("%c",p‐>data);
        if(p‐>lchild!=NULL)
        {
            rear=(rear+1)%N;
            q[rear]=p‐>lchild;
        } 
        if(p‐>rchild!=NULL)
        {
            rear=(rear+1)%N;
            q[rear]=p‐>rchild;
        }
    }
}

猜你喜欢

转载自blog.csdn.net/z861269429/article/details/51774947