mirea-projects/Second term/Algorithms/2/2.cpp
2024-09-24 02:22:33 +03:00

109 lines
2.6 KiB
C++
Executable File

#include <ctime>
#include <iostream>
using namespace std;
struct Node {
int key;
int count;
Node *left;
Node *right;
int height;
Node(int value) : key(value), left(nullptr), right(nullptr), height(0), count(1) {}
};
int getHeight(Node *node) {
return (node == nullptr) ? -1 : node->height;
}
void updateHeight(Node *&node) {
node->height = max(getHeight(node->left), getHeight(node->right)) + 1;
}
int getBalance(Node *node) {
return (node == nullptr) ? 0 : getHeight(node->right) - getHeight(node->left);
}
void swap(Node *&first, Node *&second) {
int firstKey = first->key;
first->key = second->key;
second->key = firstKey;
}
void rightRotate(Node *&node) {
swap(node, node->left);
Node *buffer = node->right;
node->right = node->left;
node->left = node->right->left;
node->right->left = node->right->right;
node->right->right = buffer;
updateHeight(node->right);
updateHeight(node);
}
void leftRotate(Node *&node) {
swap(node, node->right);
Node *buffer = node->left;
node->left = node->right;
node->right = node->left->right;
node->left->right = node->left->left;
node->left->left = buffer;
updateHeight(node->left);
updateHeight(node);
}
void balanceTree(Node *&node) {
int balance = getBalance(node);
if (balance == -2) {
if (getBalance(node->left) == 1) leftRotate(node->left);
rightRotate(node);
}
else if (balance == 2) {
if (getBalance(node->right) == -1) rightRotate(node->right);
leftRotate(node);
}
}
void insert(Node *&node, int key) {
if (node->key > key) {
if (node->left == nullptr) node->left = new Node(key);
else insert(node->left, key);
}
else if (node->key < key) {
if (node->right == nullptr) node->right = new Node(key);
else insert(node->right, key);
}
else node->count++;
updateHeight(node);
balanceTree(node);
}
void printTree(Node *node) {
if (node == nullptr) return;
printTree(node->left);
cout << node->key << " (" << node->count << ") " << "[" << getBalance(node) << "] | ";
printTree(node->right);
}
Node *generateRandomTree(int countOfNodes) {
Node *root = new Node(rand() % 100);
for (; countOfNodes > 0; countOfNodes--)
insert(root, rand() % 100);
return root;
}
int main() {
srand(time(0));
cout << "[] - balance | () - count" << endl << endl;
Node *root = generateRandomTree(10);
printTree(root);
cout << endl;
cout << "root height: " << root->height << endl;
cout << "root key: " << root->key << endl;
return 0;
}