1 #include <stdio.h> 2 #include <stdlib.h> 3 /*本程序作为数据结构课程(使用教材“数据结构与算法分析-C语言描述”,M. A. Weiss著)关于二叉树部分的补充程序。*/ 4 /*本程序使用纯 C 语言*/ 5 6 typedef char ElementType; 7 typedef struct TreeNode { 8 ElementType Element; 9 struct TreeNode *Left; 10 struct TreeNode *Right; 11 } BTNode; 12 13 BTNode *CreateTree(BTNode *root) 14 { 15 //先序递归创建二叉树, 16 //输入范例:abd#g##e##cf#h### 17 /* 18 a 19 / 20 / 21 b c 22 / / 23 d e f 24 25 g h 26 27 */ 28 29 //对应于: a(b(d(,g),e),c(f(,h),)) 30 char ch; 31 scanf("%c",&ch); 32 if(ch=='#') { 33 //printf("--%c$$$ ",ch); 34 return NULL; 35 } 36 else 37 { 38 //printf("++%c*** ",ch); 39 root=(BTNode *)malloc(sizeof(BTNode)); 40 root->Element=ch; 41 root->Left=CreateTree(root->Left); 42 root->Right=CreateTree(root->Right); 43 } 44 return root; 45 } 46 47 void PreOrder(BTNode *b) /*先序遍历的递归算法*/ 48 { 49 if (b!=NULL) { 50 printf("%c ",b->Element); /*访问根结点*/ 51 PreOrder(b->Left); 52 PreOrder(b->Right); 53 } 54 } 55 56 void InOrder(BTNode *b) /*中序遍历的递归算法*/ 57 { 58 if (b!=NULL) { 59 InOrder(b->Left); 60 printf("%c ",b->Element); /*访问根结点*/ 61 InOrder(b->Right); 62 } 63 } 64 65 void PostOrder(BTNode *b) /*后序遍历递归算法*/ 66 { 67 if (b!=NULL) { 68 PostOrder(b->Left); 69 PostOrder(b->Right); 70 printf("%c ",b->Element); /*访问根结点*/ 71 } 72 } 73 74 int CountNode(BTNode *T) /*计算二叉树节点个数*/ 75 { 76 if ( T == NULL ) 77 return 0; 78 else 79 return 1+CountNode(T->Left)+CountNode(T->Right); 80 } 81 82 int CountLeafNode(BTNode *T) /*计算二叉树叶子节点个数*/ 83 { 84 if ( T == NULL ) 85 return 0; 86 else if ((T->Left==NULL)&&(T->Right==NULL)) 87 return 1; 88 else 89 return CountLeafNode(T->Left)+CountLeafNode(T->Right); 90 } 91 92 93 int TreeDepth(BTNode *b) /*求二叉树的深度 */ 94 { 95 int leftDep,rightDep; 96 if (b==NULL) return(0); /*空树的深度为0*/ 97 else 98 { 99 leftDep=TreeDepth(b->Left); 100 /*求左子树的深度*/ 101 rightDep=TreeDepth(b->Right); 102 /*求右子树的深度*/ 103 return(leftDep>rightDep)?(leftDep+1):(rightDep+1); 104 } 105 } 106 107 BTNode *FindNode(BTNode *b,ElementType x) 108 { 109 //在二叉树中查找值为x的结点 110 BTNode *p; 111 if (b==NULL) return NULL; 112 else if (b->Element==x) return b; 113 else 114 { 115 p=FindNode(b->Left,x); 116 if (p!=NULL) return p; //判断子递归返回值 117 else return FindNode(b->Right,x); 118 } 119 } 120 121 int Like(BTNode *b1,BTNode *b2) 122 { 123 /*b1和b2两棵二叉树相似时返回1,否则返回0*/ 124 int like1,like2; 125 if (b1==NULL && b2==NULL) return 1; 126 else if (b1==NULL || b2==NULL) return 0; 127 else 128 { 129 like1=Like(b1->Left,b2->Left); 130 like2=Like(b1->Right,b2->Right); 131 return (like1 & like2); 132 /*返回like1和like2的与*/ 133 } 134 } 135 136 137 /* run this program using the console pauser or add your own getch, system("pause") or input loop */ 138 139 int main(int argc, char *argv[]) { 140 BTNode *T,*p; 141 T=CreateTree(p); 142 PreOrder(T); 143 printf(" Node:%i ",CountNode(T)); 144 printf("LeafNode:%i ",CountLeafNode(T)); 145 printf("Depth:%i ",TreeDepth(T)); 146 147 BTNode *f=FindNode(T,'c'); 148 PreOrder(f); 149 150 return 0; 151 }