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| 1 | +/************************************************************************* |
| 2 | + > Author: Liu Zhang |
| 3 | + |
| 4 | + > Time: 2019-05-10 |
| 5 | + > Desc: 二叉搜索树实现 |
| 6 | + ************************************************************************/ |
| 7 | +#include <stdio.h> |
| 8 | +#include <stdlib.h> |
| 9 | +#include <string.h> |
| 10 | + |
| 11 | +#define OK 1 |
| 12 | +#define ERROR 0 |
| 13 | +#define TRUE 1 |
| 14 | +#define FALSE 0 |
| 15 | +typedef int Status; |
| 16 | +typedef char ElemType; |
| 17 | + |
| 18 | +typedef struct node { |
| 19 | + ElemType data; |
| 20 | + struct node *lchild, *rchild; |
| 21 | +} BTree, *BTreePtr; |
| 22 | + |
| 23 | +/**************** 插入 **********************/ |
| 24 | +Status Insert(BTreePtr *T, ElemType e) { |
| 25 | + |
| 26 | + BTreePtr p; |
| 27 | + |
| 28 | + if (*T == NULL) { |
| 29 | + *T = (BTreePtr)malloc(sizeof(BTree)); |
| 30 | + (*T)->data = e; |
| 31 | + |
| 32 | + return TRUE; |
| 33 | + } else { |
| 34 | + p = *T; |
| 35 | + while ( p != NULL) { |
| 36 | + |
| 37 | + if (e > p->data) { |
| 38 | + |
| 39 | + if (p->rchild == NULL) { |
| 40 | + p->rchild = (BTreePtr) malloc (sizeof(BTree)); |
| 41 | + p->rchild->data = e; |
| 42 | + return TRUE; |
| 43 | + } |
| 44 | + p = p->rchild; |
| 45 | + } else { |
| 46 | + |
| 47 | + if (p->lchild == NULL) |
| 48 | + { |
| 49 | + p->lchild = (BTreePtr) malloc (sizeof(BTree)); |
| 50 | + p->lchild->data = e; |
| 51 | + return TRUE; |
| 52 | + } |
| 53 | + p = p->lchild; |
| 54 | + } |
| 55 | + } |
| 56 | + } |
| 57 | + |
| 58 | + return FALSE; |
| 59 | +} |
| 60 | + |
| 61 | +/**************** 删除 **********************/ |
| 62 | +Status Delete(BTreePtr T, ElemType e) { |
| 63 | + BTreePtr p, pp, minP, minPP, child; |
| 64 | + child = NULL; |
| 65 | + p = T; |
| 66 | + pp = NULL; |
| 67 | + |
| 68 | + while ( (p != NULL) && (p->data != e) ) { |
| 69 | + pp = p; |
| 70 | + |
| 71 | + if (e > p->data) { |
| 72 | + p = p->rchild; |
| 73 | + } else { |
| 74 | + p = p->lchild; |
| 75 | + } |
| 76 | + } |
| 77 | + |
| 78 | + if (p == NULL) return FALSE; |
| 79 | + |
| 80 | + //双节点 |
| 81 | + if ((p->lchild != NULL) && (p->rchild != NULL)) |
| 82 | + { |
| 83 | + minPP = p; |
| 84 | + minP = p->rchild; |
| 85 | + |
| 86 | + while (minP->lchild != NULL) { |
| 87 | + minPP = minP; |
| 88 | + minP = minP->lchild; |
| 89 | + } |
| 90 | + p->data = minP->data; |
| 91 | + free(minP); |
| 92 | + minPP->lchild = NULL; |
| 93 | + |
| 94 | + return TRUE; |
| 95 | + } |
| 96 | + |
| 97 | + //有一个节点 |
| 98 | + if ((p->lchild != NULL) || (p->rchild != NULL)) { |
| 99 | + |
| 100 | + if (p->lchild) { |
| 101 | + child = p->lchild; |
| 102 | + } else { |
| 103 | + child = p->rchild; |
| 104 | + } |
| 105 | + free(p); |
| 106 | + } |
| 107 | + |
| 108 | + //没有节点 |
| 109 | + if (pp->lchild == p) { |
| 110 | + pp->lchild = child; |
| 111 | + } else { |
| 112 | + pp->rchild = child; |
| 113 | + } |
| 114 | + |
| 115 | + return TRUE; |
| 116 | +} |
| 117 | + |
| 118 | +/**************** 查找 **********************/ |
| 119 | + |
| 120 | +Status Find(BTreePtr T, ElemType e) { |
| 121 | + |
| 122 | + if (T == NULL) return FALSE; |
| 123 | + |
| 124 | + while ((T != NULL) && (T->data != e)) { |
| 125 | + |
| 126 | + if (e > T->data) { |
| 127 | + T = T->rchild; |
| 128 | + } else { |
| 129 | + T = T->lchild; |
| 130 | + } |
| 131 | + } |
| 132 | + |
| 133 | + if (T) { |
| 134 | + return TRUE; |
| 135 | + } else { |
| 136 | + return FALSE; |
| 137 | + } |
| 138 | +} |
| 139 | + |
| 140 | + |
| 141 | +/**************** 最大值 **********************/ |
| 142 | +ElemType FindMax(BTreePtr T) { |
| 143 | + ElemType max; |
| 144 | + |
| 145 | + while(T != NULL) { |
| 146 | + max = T->data; |
| 147 | + T = T->rchild; |
| 148 | + } |
| 149 | + return max; |
| 150 | +} |
| 151 | + |
| 152 | + |
| 153 | +/**************** 最小值 **********************/ |
| 154 | +ElemType FindMin(BTreePtr T) { |
| 155 | + ElemType min; |
| 156 | + |
| 157 | + while(T != NULL) { |
| 158 | + min = T->data; |
| 159 | + T = T->lchild; |
| 160 | + } |
| 161 | + return min; |
| 162 | +} |
| 163 | + |
| 164 | + |
| 165 | +void PreOrderTraverse(BTreePtr T)//前序遍历二叉树 |
| 166 | +{ |
| 167 | + if (T == NULL) return; |
| 168 | + |
| 169 | + if(T) |
| 170 | + { |
| 171 | + printf("%d ",T->data); |
| 172 | + PreOrderTraverse(T->lchild); |
| 173 | + PreOrderTraverse(T->rchild); |
| 174 | + } |
| 175 | +} |
| 176 | + |
| 177 | + |
| 178 | +void DestroyTree(BTreePtr T) { |
| 179 | + if (T) |
| 180 | + { |
| 181 | + if (T->lchild) |
| 182 | + { |
| 183 | + DestroyTree(T->lchild); |
| 184 | + } |
| 185 | + |
| 186 | + if(T->rchild) |
| 187 | + { |
| 188 | + DestroyTree(T->rchild); |
| 189 | + } |
| 190 | + |
| 191 | + free(T); |
| 192 | + T = NULL; |
| 193 | + } |
| 194 | +} |
| 195 | + |
| 196 | +/***************** 执行测试 *************************/ |
| 197 | +int main(int argc, char const *argv[]) |
| 198 | +{ |
| 199 | + BTreePtr T; |
| 200 | + T = NULL; |
| 201 | + int a[] = {33, 16, 50, 13, 18, 34, 58, 15, 17, 25, 51, 66, 19, 27, 55}; |
| 202 | + int i; |
| 203 | + for (i = 0; i < 15; i++) { |
| 204 | + Insert(&T, a[i]); |
| 205 | + } |
| 206 | + printf("Max is %d\n", FindMax(T)); |
| 207 | + printf("Min is %d\n", FindMin(T)); |
| 208 | + Delete(T, 18); |
| 209 | + Delete(T, 13); |
| 210 | + PreOrderTraverse(T); |
| 211 | + DestroyTree(T); |
| 212 | + |
| 213 | + return 0; |
| 214 | +} |
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