#include <stdio.h>
#include <stdlib.h>
#include <math.h>
typedef char TElemType;
typedef struct BiTNode
{
TElemType data;
struct BiTNode *lchild, *rchild;
}BiTNode, *BiTree;
/*构建二叉树*/
void CreateBiTree(BiTree *T)
{
TElemType e;
if ((e=getchar()) == '#')
{
*T = NULL;
}
else
{
*T = (BiTree) malloc(sizeof(BiTNode));
if (!T)
{
exit(0);
}
(*T)->data = e;
CreateBiTree(&(*T)->lchild); //创建左子树
CreateBiTree(&(*T)->rchild); //创建右子树
}
}
/*先序遍历*/
void PreOrderTraverse(BiTree T)
{
if (T)
{
printf("%c ",T->data);
PreOrderTraverse(T->lchild);
PreOrderTraverse(T->rchild);
}
}
/*中序遍历*/
void InOrderTraverse(BiTree T)
{
if (T)
{
InOrderTraverse(T->lchild);
printf("%c ",T->data);
InOrderTraverse(T->rchild);
}
}
/*后序遍历*/
void PostOrderTraverse(BiTree T)
{
if (T)
{
PostOrderTraverse(T->lchild);
PostOrderTraverse(T->rchild);
printf("%c ",T->data);
}
}
/*求结点总数*/
int count(BiTree T)
{
int sum=0;
if(T==NULL)
sum = 0;
else
sum = 1+count(T->lchild)+count(T->rchild);
return sum;
}
/*求叶子结点数*/
int count_leaf(BiTree T)
{
int sum=0;
if(T==NULL)
{
sum=0;
}
else if(T->lchild==NULL&&T->rchild==NULL)
{
sum=1;
}
else
sum=count_leaf(T->lchild)+count_leaf(T->rchild);
return sum;
}
/*求深度*/
int Depth(BiTree T)
{
if(T==NULL)
return 0;
int left=Depth(T->lchild)+1;
int right=Depth(T->rchild)+1;
return left>right?left:right;
}
int main()
{
BiTree T;
int sum_all=0,sum_leaf=0,depth=0;
printf("请输入元素,#表示空树:\n");
CreateBiTree(&T);
printf("先序遍历:");
PreOrderTraverse(T);
printf("\n中序遍历:");
InOrderTraverse(T);
printf("\n后序遍历:");
PostOrderTraverse(T);
printf("\n");
sum_all=count(T);
printf("总结点数:%d\n",sum_all);
sum_leaf=count_leaf(T);
printf("叶子结点数:%d\n",sum_leaf);
depth=Depth(T);
printf("深度:%d\n",depth);
return 0;
}
/* 测试
请输入元素,#表示空树:
AB##CD##EF##G##
先序遍历:A B C D E F G
中序遍历:B A D C F E G
后序遍历:B D F G E C A
总结点数:7
叶子结点数:4
深度:4
Program ended with exit code: 0
*/