二叉树的一些操作

  1 #include <stdio.h>
  2 #include <stdlib.h>
  3 
  4 typedef struct BiNode{
  5     char data;
  6     struct BiNode* LChild;
  7     struct BiNode* RChild;
  8 }BiNode,*BiTree;
  9 
 10 void CreateBiTree(BiTree &T);//创建二叉树
 11 int GetTreeHeight(BiTree T);//返回二叉树高度
 12 int GetAllNode(BiTree T);//返回二叉树结点数
 13 int GetZeroNode(BiTree T);//返回出度为0的结点数
 14 int GetOneNode(BiTree T);//返回出度为1的结点数
 15 int GetTwoNode(BiTree T);//返回出度为2的结点数
 16 BiTree CopyBiTree(BiTree T);//复制二叉树并将副本返回
 17 BiTree GetExchange(BiTree T);//交换二叉树左右子树并返回交换后的二叉树
 18 int IsSimilar(BiTree T1,BiTree T2);//判断两个二叉树是否相似
 19 int GetNodePosition(BiTree T,char c);//获取结点c在二叉树中所在层数
 20 
 21 void main()
 22 {
 23     char clear,c;
 24     BiTree T1,T2,copyT1;
 25     CreateBiTree(T1);
 26     scanf("%c",&clear);
 27 
 28     CreateBiTree(T2);
 29     scanf("%c",&clear);
 30 
 31     printf("Height:%d\n",GetTreeHeight(T1));
 32     printf("All Node:%d\n",GetAllNode(T1));
 33     printf("Zero Node:%d\n",GetZeroNode(T1));
 34     printf("One Node:%d\n",GetOneNode(T1));
 35     printf("Two Node:%d\n",GetTwoNode(T1));
 36 
 37     scanf("%c",&c);
 38     printf("%c at %d\n",c,GetNodePosition(T1,c));
 39 
 40     copyT1 = CopyBiTree(T1);
 41 
 42     if (IsSimilar(T1,T2))
 43     {
 44         printf("Similar!\n");
 45     }
 46     else
 47     {
 48         printf("No Similar!\n");
 49     }
 50 }
 51 
 52 void CreateBiTree(BiTree &T)
 53 {
 54     char c;
 55     scanf("%c",&c);
 56     if (c == ' ')
 57         T = NULL;
 58     else
 59     {
 60         T = (BiNode *)malloc(sizeof(BiNode));
 61         T->data = c;
 62         CreateBiTree(T->LChild);
 63         CreateBiTree(T->RChild);
 64     }
 65 }
 66 int GetTreeHeight(BiTree T)
 67 {
 68     int l,r;
 69     l = r = 0;
 70     if (T->LChild)    l = GetTreeHeight(T->LChild);
 71     if (T->RChild)    r = GetTreeHeight(T->RChild);
 72     if (T->LChild == NULL && T->RChild == NULL)    l=r=1;
 73     return l>r?l:r;
 74 }
 75 int GetAllNode(BiTree T)
 76 {
 77     return T==NULL?0:(GetAllNode(T->LChild)+GetAllNode(T->RChild)+1);
 78 }
 79 int GetZeroNode(BiTree T)
 80 {
 81     if (T==NULL)    return 0;
 82     return (T->LChild==NULL&&T->RChild==NULL)?1:(GetZeroNode(T->LChild)+GetZeroNode(T->RChild));
 83 }
 84 int GetOneNode(BiTree T)
 85 {
 86     int i;
 87     if (T==NULL)    return 0;
 88     i = GetOneNode(T->LChild)+GetOneNode(T->RChild);
 89     if ((T->LChild||T->RChild) && !(T->LChild && T->RChild))    i++;
 90     return i;
 91 }
 92 int GetTwoNode(BiTree T)
 93 {
 94     int i;
 95     if(T == NULL )    return 0;
 96     i = GetTwoNode(T->LChild)+GetTwoNode(T->RChild);
 97     if (T->LChild && T->RChild)    i++;
 98     return i;
 99 }
100 BiTree CopyBiTree(BiTree T)
101 {
102     BiTree cT;
103     if (T == NULL)    return NULL;
104     cT = (BiNode *)malloc(sizeof(BiNode));
105     cT->data = T->data;
106     cT->LChild = CopyBiTree(T->LChild);
107     cT->RChild = CopyBiTree(T->RChild);
108     return cT;
109 }
110 BiTree GetExchange(BiTree T)
111 {
112     BiTree p;
113     if(T == NULL)    return NULL;
114     p = GetExchange(T->LChild);
115     T->LChild = GetExchange(T->RChild);
116     T->RChild = p;
117     return T;
118 }
119 int IsSimilar(BiTree T1,BiTree T2)
120 {
121     int l,r;
122     if (T1 == NULL && T2 == NULL)    return 1;
123     if (T1==NULL&&T2 || T1&&T2==NULL)    return 0;
124     l = IsSimilar(T1->LChild,T2->LChild);
125     r = IsSimilar(T1->RChild,T2->RChild);
126     return l&&r?1:0;
127 }
128 int GetNodePosition(BiTree T,char c)
129 {
130     int l=0,r=0;
131     if (T->data == c)    return 1;
132     if (T->LChild!=NULL)    l=GetNodePosition(T->LChild,c);
133     if (T->RChild!=NULL)    r=GetNodePosition(T->RChild,c);
134     return    l+r?l+r+1:0;
135 }