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| 1 | +// HASAN CEYHAN 20010011091 |
| 2 | + |
| 3 | +// 2 1 7 4 5 3 8 -> EKLE |
| 4 | +// 4 2 1 3 7 5 8 -> SIRALA |
| 5 | +// 3 -------------> SIL |
| 6 | +// 4 2 1 7 5 8 ---> SIRALA |
| 7 | + |
| 8 | + |
| 9 | +// 10 15 9 12 13 79 45 36 22 -> EKLE |
| 10 | +// 13 10 9 12 45 22 15 36 79 -> SIRALA |
| 11 | +// 45 ------------------------> SIL |
| 12 | +// 17 ------------------------> EKLE |
| 13 | +// 13 10 9 12 22 15 17 79 36 -> SIRALA |
| 14 | +#include <stdio.h> |
| 15 | +#include <stdlib.h> |
| 16 | + |
| 17 | +struct node{ |
| 18 | + int data; |
| 19 | + struct node *sol; |
| 20 | + struct node *sag; |
| 21 | + int yukseklik; |
| 22 | +}; |
| 23 | + |
| 24 | +struct node *kokDugumOlustur(int veri){ |
| 25 | + struct node *root = (struct node *) malloc(sizeof(struct node)); |
| 26 | + root->data = veri; |
| 27 | + root->sol = NULL; |
| 28 | + root->sag = NULL; |
| 29 | + root->yukseklik = 1; |
| 30 | + return (root); |
| 31 | +} |
| 32 | + |
| 33 | +int yukseklik(struct node *root) { |
| 34 | + if (root == NULL){ |
| 35 | + return 0; |
| 36 | + } |
| 37 | + return root->yukseklik; |
| 38 | +} |
| 39 | + |
| 40 | +int max(int a, int b){ |
| 41 | + return (a > b) ? a : b; |
| 42 | +} |
| 43 | + |
| 44 | +struct node *sagaDondur(struct node *y) { |
| 45 | + struct node *x = y->sol; |
| 46 | + struct node *T2 = x->sag; |
| 47 | + |
| 48 | + x->sag = y; |
| 49 | + y->sol = T2; |
| 50 | + |
| 51 | + y->yukseklik = max(yukseklik(y->sol), yukseklik(y->sag)) + 1; |
| 52 | + x->yukseklik = max(yukseklik(x->sol), yukseklik(x->sag)) + 1; |
| 53 | + return x; |
| 54 | +} |
| 55 | + |
| 56 | +struct node *solaDondur(struct node *x){ |
| 57 | + struct node *y = x->sag; |
| 58 | + struct node *T2 = y->sol; |
| 59 | + |
| 60 | + y->sol = x; |
| 61 | + x->sag = T2; |
| 62 | + |
| 63 | + x->yukseklik = max(yukseklik(x->sol), yukseklik(x->sag)) + 1; |
| 64 | + y->yukseklik = max(yukseklik(y->sol), yukseklik(y->sag)) + 1; |
| 65 | + return y; |
| 66 | +} |
| 67 | + |
| 68 | +// Denge saglanir. |
| 69 | +int getBalance(struct node *root) { |
| 70 | + if (root == NULL){ |
| 71 | + return 0; |
| 72 | + } |
| 73 | + return yukseklik(root->sol) - yukseklik(root->sag); |
| 74 | +} |
| 75 | + |
| 76 | + |
| 77 | +struct node *elemanEkle(struct node *root, int veri) { |
| 78 | + // Dugum bos mu kontrol edilir. |
| 79 | + if (root == NULL){ |
| 80 | + return (kokDugumOlustur(veri)); |
| 81 | + } |
| 82 | + |
| 83 | + if (veri < root->data){ |
| 84 | + root->sol = elemanEkle(root->sol, veri); |
| 85 | + } |
| 86 | + else if (veri > root->data){ |
| 87 | + root->sag = elemanEkle(root->sag, veri); |
| 88 | + } |
| 89 | + else{ |
| 90 | + return root; |
| 91 | + } |
| 92 | + |
| 93 | + // Her dugumun denge faktoru guncellenir ve agaci dengeli hale getirilir. |
| 94 | + root->yukseklik = 1 + max(yukseklik(root->sol), yukseklik(root->sag)); |
| 95 | + |
| 96 | + int balance = getBalance(root); |
| 97 | + if (balance > 1 && veri < root->sol->data){ |
| 98 | + return sagaDondur(root); |
| 99 | + } |
| 100 | + |
| 101 | + if (balance < -1 && veri > root->sag->data){ |
| 102 | + return solaDondur(root); |
| 103 | + } |
| 104 | + |
| 105 | + if (balance > 1 && veri > root->sol->data){ |
| 106 | + root->sol = solaDondur(root->sol); |
| 107 | + return sagaDondur(root); |
| 108 | + } |
| 109 | + |
| 110 | + if (balance < -1 && veri < root->sag->data){ |
| 111 | + root->sag = sagaDondur(root->sag); |
| 112 | + return solaDondur(root); |
| 113 | + } |
| 114 | + return root; |
| 115 | +} |
| 116 | + |
| 117 | +struct node *minValueNode(struct node *root) { |
| 118 | + struct node *current = root; |
| 119 | + |
| 120 | + while (current->sol != NULL){ |
| 121 | + current = current->sol; |
| 122 | + } |
| 123 | + return current; |
| 124 | +} |
| 125 | + |
| 126 | +// Dugum silme |
| 127 | +struct node *elemanSil(struct node *root, int silmekIstenilenEleman) { |
| 128 | + // Aranan dugum yoksa |
| 129 | + if (root == NULL){ |
| 130 | + return root; |
| 131 | + } |
| 132 | + |
| 133 | + if (silmekIstenilenEleman < root->data){ |
| 134 | + root->sol = elemanSil(root->sol, silmekIstenilenEleman); |
| 135 | + } |
| 136 | + else if (silmekIstenilenEleman > root->data){ |
| 137 | + root->sag = elemanSil(root->sag, silmekIstenilenEleman); |
| 138 | + } |
| 139 | + else{ |
| 140 | + if ((root->sol == NULL) || (root->sag == NULL)){ |
| 141 | + struct node *temp = root->sol ? root->sol : root->sag; |
| 142 | + if (temp == NULL){ |
| 143 | + temp = root; |
| 144 | + root = NULL; |
| 145 | + } |
| 146 | + else{ |
| 147 | + *root = *temp; |
| 148 | + } |
| 149 | + free(temp); |
| 150 | + } |
| 151 | + else{ |
| 152 | + struct node *temp = minValueNode(root->sag); |
| 153 | + root->data = temp->data; |
| 154 | + root->sag = elemanSil(root->sag, temp->data); |
| 155 | + } |
| 156 | + } |
| 157 | + if(root == NULL){ |
| 158 | + return root; |
| 159 | + } |
| 160 | + |
| 161 | + // Her dugumun denge faktoru guncellenir ve agaci dengeli hale getirilir. |
| 162 | + root->yukseklik = 1 + max(yukseklik(root->sol), yukseklik(root->sag)); |
| 163 | + |
| 164 | + int balance = getBalance(root); |
| 165 | + if(balance > 1 && getBalance(root->sol) >= 0){ |
| 166 | + return sagaDondur(root); |
| 167 | + } |
| 168 | + if(balance > 1 && getBalance(root->sol) < 0){ |
| 169 | + root->sol = solaDondur(root->sol); |
| 170 | + return sagaDondur(root); |
| 171 | + } |
| 172 | + |
| 173 | + if(balance < -1 && getBalance(root->sag) <= 0){ |
| 174 | + return solaDondur(root); |
| 175 | + } |
| 176 | + |
| 177 | + if(balance < -1 && getBalance(root->sag) > 0){ |
| 178 | + root->sag = sagaDondur(root->sag); |
| 179 | + return solaDondur(root); |
| 180 | + } |
| 181 | + return root; |
| 182 | +} |
| 183 | + |
| 184 | + |
| 185 | +void ekranaYazdir(struct node *root) { |
| 186 | + if (root != NULL) { |
| 187 | + printf("%d ", root->data); |
| 188 | + ekranaYazdir(root->sol); |
| 189 | + ekranaYazdir(root->sag); |
| 190 | + } |
| 191 | +} |
| 192 | + |
| 193 | +int main() { |
| 194 | + struct node *eleman = NULL; |
| 195 | + |
| 196 | + while(1){ |
| 197 | + int sayi, secim; |
| 198 | + printf("\n********************MENU********************"); |
| 199 | + printf("\nEklemek Icin -----------------------------> 1\n"); |
| 200 | + printf("Agactan Veri Silmek Icin -----------------> 2\n"); |
| 201 | + printf("Ekrana Preorder Ile Yazdirmak Icin -------> 3\n"); |
| 202 | + printf("Cikis Icin -------------------------------> 0\n"); |
| 203 | + printf("Seciminizi Yapin: "); scanf("%d", &secim); |
| 204 | + switch(secim){ |
| 205 | + case 1: printf("\n\nSayi Giriniz: "); scanf("%d", &sayi); |
| 206 | + eleman = elemanEkle(eleman, sayi); |
| 207 | + break; |
| 208 | + case 2: printf("\n\nSilmek Istediginiz Elemani Giriniz: "); scanf("%d", &sayi); |
| 209 | + eleman = elemanSil(eleman, sayi); |
| 210 | + break; |
| 211 | + case 3: system("cls"); |
| 212 | + ekranaYazdir(eleman); |
| 213 | + break; |
| 214 | + case 0: printf("\nCikis Saglandi!"); |
| 215 | + return 0; |
| 216 | + default: printf("Hatali Veri Girisi!\n"); |
| 217 | + } |
| 218 | + } |
| 219 | +// 2 1 7 4 5 3 8 -> EKLE |
| 220 | +// 4 2 1 3 7 5 8 -> SIRALA |
| 221 | +// 3 -------------> SIL |
| 222 | +// 4 2 1 7 5 8 ---> SIRALA |
| 223 | + |
| 224 | + |
| 225 | +// 10 15 9 12 13 79 45 36 22 -> EKLE |
| 226 | +// 13 10 9 12 45 22 15 36 79 -> SIRALA |
| 227 | +// 45 ------------------------> SIL |
| 228 | +// 17 ------------------------> EKLE |
| 229 | +// 13 10 9 12 22 15 17 79 36 -> SIRALA |
| 230 | + return 0; |
| 231 | +} |
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