二叉排序树及将树平衡的问题
课程设计
1
#include<stdio.h>
#include<stdlib.h>
typedef struct Node {
int data;
struct Node* left;
struct Node* right;
}Node;
typedef struct {
Node* root;
}Tree;
void addnode(Tree* tree, int data) {//添加
Node* node = (Node*)malloc(sizeof(Node));
node->data = data;
node->left = NULL;
node->right = NULL;
if (tree->root == NULL) {
tree->root = node;
}
else {
Node* temp = (Node*)malloc(sizeof(Node));//存储当前根节点内容
temp = tree->root;
while (temp != NULL) {
if (temp->data > data) {
if (temp->left == NULL) {
temp->left = node;
return;
}
else {
temp = temp->left;
}
}
else {
if (temp->data < data) {
if (temp->right == NULL) {
temp->right = node;
return;
}
else {
temp = temp->right;
}
}
}
}
}
}
Node* findmin(Node* node) {//找到最小值
if (node == NULL)
return NULL;
while (node->left != NULL)
node = node->left;
return node;
}
Node *denode(Node* node, int data) {//删除
if (node ==NULL) {
return node;
}
else {
if (node->data > data) {
node->left = denode(node->left, data);
}
else if (node->data < data) {
node->right = denode(node->right, data);
}
else {
if (node->left == NULL && node->right == NULL) {
node = NULL;
}
else if (node->left != NULL && node->right == NULL) {
node = node->left;
}
else if (node->right != NULL && node->left == NULL) {
node = node->right;
}
else {
Node* pre = findmin(node->right);
node = denode(node,pre->data);
node->data = pre->data;
}
}
}
return node;
}
int height(Node* node) {//求树的高度
if (node == NULL) {
return -1;
}
else if (node->left == NULL && node->right == NULL) {
return 0;
}
else {
int left = height(node->left);
int right = height(node->right);
return left>right?(left + 1):(right + 1);
}
}
Node* leftrotation(Node* node) {//左旋
Node* temp = node->right;
node->right = temp->left;
temp->left = node;
return temp;
}
Node* rightrotation(Node* node) {//右旋
Node* temp = node->left;
node->left = temp->right;
temp->right = node;
return temp;
}
Node* balance(Node* current) {//平衡
if (current == NULL) {
return current;
}
if (height(current->left) - height(current->right) > 1) {
if (height(current->left->left) >= height(current->left->right)){
return rightrotation(current);
}
else {
return rightrotation(leftrotation(current->left));
}
}
if (height(current->right) - height(current->left) > 1) {
if (height(current->right->right) >= height(current->right->left)) {
return leftrotation(current);
}
else {
return leftrotation(rightrotation(current->right));
}
}
return current;
}
void firorder(Node* node) {//先序遍历
if (node != NULL) {
printf("%d\n", node->data);
firorder(node->left);
firorder(node->right);
}
}
int main() {
int arry[7] = { 6,3,8,2,5,1,7 };
Tree tree;
tree.root = NULL;
printf("d%\n" + height(tree.root));
for (int i = 0; i < 7; i++) {
addnode(&tree, arry[i]);
}
firorder(tree.root);
printf("--------\n");
denode(tree.root, 7);
firorder(tree.root);
printf("--------\n");
printf("d%\n" + height(tree.root));
addnode(&tree, 15);
addnode(&tree, 17);
addnode(&tree, 19);
printf("d%\n" + height(tree.root));
printf("--------\n");
balance(tree.root);
firorder(tree.root);
printf("--------\n");
printf("d%\n" + height(tree.root));
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#include<stdio.h> #include<stdlib.h> typedef struct Node { int data; struct Node* left; struct Node* right; }Node; typedef struct { Node* root; }Tree; void addnode(Tree* tree, int data) {//添加 Node* node = (Node*)malloc(sizeof(Node)); node->data = data; node->left = NULL; node->right = NULL; if (tree->root == NULL) { tree->root = node; } else { Node* temp = (Node*)malloc(sizeof(Node));//存储当前根节点内容 temp = tree->root; while (temp != NULL) { if (temp->data > data) { if (temp->left == NULL) { temp->left = node; return; } else { temp = temp->left; } } else { if (temp->data < data) { if (temp->right == NULL) { temp->right = node; return; } else { temp = temp->right; } } } } } } Node* findmin(Node* node) {//找到最小值 if (node == NULL) return NULL; while (node->left != NULL) node = node->left; return node; } Node *denode(Node* node, int data) {//删除 if (node ==NULL) { return node; } else { if (node->data > data) { node->left = denode(node->left, data); } else if (node->data < data) { node->right = denode(node->right, data); } else { if (node->left == NULL && node->right == NULL) { node = NULL; } else if (node->left != NULL && node->right == NULL) { node = node->left; } else if (node->right != NULL && node->left == NULL) { node = node->right; } else { Node* pre = findmin(node->right); node = denode(node,pre->data); node->data = pre->data; } } } return node; } int height(Node* node) {//求树的高度 if (node == NULL) { return -1; } else if (node->left == NULL && node->right == NULL) { return 0; } else { int left = height(node->left); int right = height(node->right); return left>right?(left + 1):(right + 1); } } Node* leftrotation(Node* node) {//左旋 Node* temp = node->right; node->right = temp->left; temp->left = node; return temp; } Node* rightrotation(Node* node) {//右旋 Node* temp = node->left; node->left = temp->right; temp->right = node; return temp; } Node* balance(Node* current) {//平衡 if (current == NULL) { return current; } if (height(current->left) - height(current->right) > 1) { if (height(current->left->left) >= height(current->left->right)){ return rightrotation(current); } else { return rightrotation(leftrotation(current->left)); } } if (height(current->right) - height(current->left) > 1) { if (height(current->right->right) >= height(current->right->left)) { return leftrotation(current); } else { return leftrotation(rightrotation(current->right)); } } return current; } void firorder(Node* node) {//先序遍历 if (node != NULL) { printf("%d\n", node->data); firorder(node->left); firorder(node->right); } } int main() { int arry[7] = { 6,3,8,2,5,1,7 }; Tree tree; tree.root = NULL; //printf("d%\n" + height(tree.root)); printf("%d\n" , height(tree.root)); for (int i = 0; i < 7; i++) { addnode(&tree, arry[i]); } firorder(tree.root); printf("--------\n"); denode(tree.root, 7); firorder(tree.root); printf("--------\n"); //printf("d%\n" + height(tree.root)); printf("%d\n" , height(tree.root)); addnode(&tree, 15); addnode(&tree, 17); addnode(&tree, 19); //printf("d%\n" + height(tree.root)); printf("%d\n" , height(tree.root)); printf("--------\n"); balance(tree.root); firorder(tree.root); printf("--------\n"); //printf("d%\n" + height(tree.root)); printf("%d\n" , height(tree.root));
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printf("d%\n" + height(tree.root));
printf中是 %d 不是 d% , "%d\n" 后是逗号(,) 不是加号(+) ,改成
printf("%d\n" , height(tree.root));
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