递归:
#include<stdio.h>
#include<stdlib.h>
typedef struct BiTNode
{
char data;
struct BiTNode *lchild,*rchild;
}BiTNode,*BiTree;
void PreOrderTraverse(BiTree T)//二叉树的先序遍历
{
if(T==NULL)return ;
printf("%c ",T->data);
PreOrderTraverse(T->lchild);
PreOrderTraverse(T->rchild);
}
void MidOrderTraverse(BiTree T)//二叉树的中序遍历
{
if(T==NULL)return ;
MidOrderTraverse(T->lchild);
printf("%c ",T->data);
MidOrderTraverse(T->rchild);
}
void ReaOrderTraverse(BiTree T)//后序遍历
{
if(T==NULL)return;
ReaOrderTraverse(T->lchild);
ReaOrderTraverse(T->rchild);
printf("%c ",T->data);
}
void CreateBiTree(BiTree *T)
{
char ch;
scanf("%c",&ch);
if(ch=='#')
{
*T=NULL;
return;
}
else
{
*T=(BiTree )malloc(sizeof(BiTNode));
(*T)->data=ch;
CreateBiTree(&(*T)->lchild);
CreateBiTree(&(*T)->rchild);
}
}
int main()
{
BiTree T;
CreateBiTree(&T);
printf("Pre:");
PreOrderTraverse (T);
printf("\nMid:");
MidOrderTraverse(T);
printf("\nRea:");
ReaOrderTraverse(T);
return 0;
}
//ABD###CE##FG###
非递归
#include <stdio.h>
#include <stdlib.h>
#include <stdbool.h>
#define MaxSize 100
typedef struct LTree
{
char data;
struct LTree *LChild,*RChild;
}LTree,*BiTree;
typedef struct LStack
{
BiTree Stack[MaxSize];
int top;
}LStack;
void InitStack(LStack *S);
bool JudgeEmpty(LStack *S);
void CreateBiTree(BiTree *T);
void PreOrderTraverse(BiTree T,LStack *S);
void MidOrderTraverse(BiTree T,LStack *S);
void ReaOrderTraverse(BiTree T,LStack *S);
/*初始化栈*/
void InitStack(LStack *S)
{
S->top = -1;
}
/*判断栈是否为空*/
bool JudgeEmpty(LStack *S)
{
if(S->top == -1)return true;
else return false;
}
/*创建二叉树*/
void CreateBiTree(BiTree *T)
{
char ch;
scanf("%c",&ch);
if(ch == '#')
{
*T = NULL;
return;
}
else
{
*T = (BiTree)malloc(sizeof(LTree));
(*T)->data = ch;
CreateBiTree(&(*T)->LChild);
CreateBiTree(&(*T)->RChild);
}
}
/*前序遍历*/
void PreOrderTraverse(BiTree T,LStack *S)
{
InitStack(S);
BiTree p = T;
printf("Pre:");
while (p || !JudgeEmpty(S))//遍历结束且栈为空时结束
{
if(p)
{
printf("%c ",p->data);//输出根节点
S->Stack[++S->top] = p;//记录父节点
p = p->LChild;//遍历左节点
}
else
{
p = S->Stack[S->top--];//寻找根节点
p = p->RChild;//遍历右节点
}
}
}
/*中序遍历*/
void MidOrderTraverse(BiTree T,LStack *S)
{
InitStack(S);
BiTree p = T;
printf("Mid:");
while (p || !JudgeEmpty(S))
{
if(p)
{
S->Stack[++S->top] = p;
p = p->LChild;
}
else
{
p = S->Stack[S->top--];//获取根节点
printf("%c ",p->data);
p = p->RChild;
}
}
}
/*后序遍历*/
void ReaOrderTraverse(BiTree T,LStack *S)
{
InitStack(S);
BiTree p = T,r = NULL;
printf("Rea:");
while (p || !JudgeEmpty(S))
{
if(p)
{
S->Stack[++S->top] = p;
p = p->LChild;
}
else
{
p = S->Stack[S->top];
if(p->RChild && p->RChild != r)//要输出根节点之前应该输出的一个节点是右节点
p = p->RChild; //若右节点不为空 并且 右节点 不等于r(前一个访问的节点)
//说右有节点没有被访问过
else
{
--S->top;
printf("%c ",p->data);
r = p;
p = NULL;
}
}
}
}
int main(int argc, char const *argv[]) {
BiTree T;
LStack S;
CreateBiTree(&T);
PreOrderTraverse(T,&S);printf("\n");
MidOrderTraverse(T,&S);printf("\n");
ReaOrderTraverse(T,&S);printf("\n");
return 0;
}