数据结构实验之二叉树三:统计叶子数
Time Limit: 1000MS Memory Limit: 65536KB
Problem Description
已知二叉树的一个按先序遍历输入的字符序列,如abc,,de,g,,f,,, (其中,表示空结点)。请建立二叉树并求二叉树的叶子结点个数。
Input
连续输入多组数据,每组数据输入一个长度小于50个字符的字符串。
Output
输出二叉树的叶子结点个数。
Example Input
abc,,de,g,,f,,,
Example Output
3
Hint
Author
xam
#include <stdio.h>
#include <string.h>
#include <stdlib.h>
struct node
{
char data;
struct bitree *l,*r;
};
char a[100],b[55];//a前序b中序
int l1,h1,l2,h2;
int count;
struct node *creat() //前序建立
{
struct node *root;
char c;
c = a[l1++];
if(c == ',')
return NULL;
else
{
root = (struct node *)malloc(sizeof(struct node));
root->data = c;
root->l=creat();
root->r=creat();
}
return root;
}
struct node *creat2(int n,char *a,char *b)//前序中序建立
{
struct node *root;
int i;
if(n == 0)
return NULL;
root = (struct node *)malloc(sizeof(struct node));
root->data=a[0];
for(i = 0;i < n;i++)
{
if(b[i] == a[0])
break;
}
root->l=creat2(i,a+1,b);
root->r=creat2(n-i-1,a+i+1,b+i+1);
return root;
}
struct node *creat3(int n,char *a,char *b)//中序后序建立
{
struct node *root;
int i;
if(n == 0)
return NULL;
root = (struct node *)malloc(sizeof(struct node));
root->data=b[n-1];
for(i = 0;i < n;i++)
{
if(a[i] == b[n-1])
break;
}
root->l=creat3(i,a,b);
root->r=creat3(n-i-1,a+i+1,b+i);
return root;
}
void preorder(struct node *root) //前序遍历
{
struct node *p;
p = root;
if(p!=NULL)
{
printf("%c",p->data);
preorder(p->l);
preorder(p->r);
}
}
void inorder(struct node *root)//中序遍历
{
struct node *p;
p = root;
if(p!=NULL)
{
inorder(p->l);
printf("%c",p->data);
inorder(p->r);
}
}
void postorder(struct node *root)//后序遍历
{
struct node *p;
p = root;
if(p!=NULL)
{
postorder(p->l);
postorder(p->r);
printf("%c",p->data);
}
}
void lorder(struct node *t)//层次遍历
{
if(!t) //考虑空树
return ;
struct node *q[100000],*p;
int f,r;
q[1] = t,f=r=1;
while(f<=r)
{
p = q[f];
f++;
printf("%c",p->data);
if(p->l!=NULL)
{
r++;
q[r]=p->l;
}
if(p->r!=NULL)
{
r++;
q[r]=p->r;
}
}
}
int treehight(struct node *t) //二叉数高度
{
int h,lh,rh;
if(t == NULL)
{
h = 0;
}
else
{
lh = treehight(t->l);
rh = treehight(t->r);
if(lh>rh)
h = lh+1;
else
h = rh+1;
}
return h;
}
void leaf(struct node *t) //求叶子数
{
if(t)
{
if((t->l==NULL)&&(t->r==NULL))
{
count++;
}
leaf(t->l);
leaf(t->r);
}
}
int main()
{
int n,t;
while(scanf("%s",a) != EOF){
struct node *root;
l1=0;
count = 0;
root = creat();
leaf(root);
printf("%d\n",count);}
return 0;
}
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