import time
import csv
import random
import sys
from typing import List, Tuple, Optional, Any, Dict

#лимит рекурсии 
sys.setrecursionlimit(20000)
def ll_insert(head: Optional[Dict], name: str, phone: str) -> Dict:
    """Вставка в конец связного списка"""
    new_node = {'name': name, 'phone': phone, 'next': None}
    
    if head is None:
        return new_node
    
    current = head
    while current['next'] is not None:
        # Обновляем, если уже есть
        if current['name'] == name:
            current['phone'] = phone
            return head
        current = current['next']
    
    if current['name'] == name:
        current['phone'] = phone
    else:
        current['next'] = new_node
    
    return head


def ll_find(head: Optional[Dict], name: str) -> Optional[str]:
    """Поиск в связном списке"""
    current = head
    while current is not None:
        if current['name'] == name:
            return current['phone']
        current = current['next']
    return None


def ll_delete(head: Optional[Dict], name: str) -> Optional[Dict]:
    """Удаление из связного списка"""
    if head is None:
        return None
    
    if head['name'] == name:
        return head['next']
    
    current = head
    while current['next'] is not None:
        if current['next']['name'] == name:
            current['next'] = current['next']['next']
            return head
        current = current['next']
    
    return head


def ll_list_all(head: Optional[Dict]) -> List[Tuple[str, str]]:
    """Сбор всех записей из связного списка с сортировкой"""
    records = []
    current = head
    while current is not None:
        records.append((current['name'], current['phone']))
        current = current['next']
def hash_function(name: str, size: int) -> int:
    """Простая хеш-функция"""
    return sum(ord(c) for c in name) % size


def ht_create(size: int = 1000) -> List[Optional[Dict]]:
    """Создание хеш-таблицы"""
    return [None] * size


def ht_insert(buckets: List[Optional[Dict]], name: str, phone: str) -> None:
    """Вставка в хеш-таблицу"""
    index = hash_function(name, len(buckets))
    buckets[index] = ll_insert(buckets[index], name, phone)


def ht_find(buckets: List[Optional[Dict]], name: str) -> Optional[str]:
    """Поиск в хеш-таблице"""
    index = hash_function(name, len(buckets))
    return ll_find(buckets[index], name)


def ht_delete(buckets: List[Optional[Dict]], name: str) -> None:
    """Удаление из хеш-таблицы"""
    index = hash_function(name, len(buckets))
    buckets[index] = ll_delete(buckets[index], name)


def ht_list_all(buckets: List[Optional[Dict]]) -> List[Tuple[str, str]]:
    """Сбор всех записей из хеш-таблицы с сортировкой"""
    records = []
    for head in buckets:
        current = head
        while current is not None:
            records.append((current['name'], current['phone']))
            current = current['next']
    
    records.sort(key=lambda x: x[0])
    return records
def bst_insert(root: Optional[Dict], name: str, phone: str) -> Dict:
    """Вставка в BST (итеративная)"""
    new_node = {'name': name, 'phone': phone, 'left': None, 'right': None}
    
    if root is None:
        return new_node
    
    current = root
    while True:
        if name < current['name']:
            if current['left'] is None:
                current['left'] = new_node
                break
            else:
                current = current['left']
        elif name > current['name']:
            if current['right'] is None:
                current['right'] = new_node
                break
            else:
                current = current['right']
        else:
            # Обновляем существующую запись
            current['phone'] = phone
            break
    
    return root


def bst_find(root: Optional[Dict], name: str) -> Optional[str]:
    """Поиск в BST (итеративный)"""
    current = root
    while current is not None:
        if name == current['name']:
            return current['phone']
        elif name < current['name']:
            current = current['left']
        else:
            current = current['right']
    return None


def bst_min_node(node: Dict) -> Dict:
    """Поиск узла с минимальным значением"""
    current = node
    while current['left'] is not None:
        current = current['left']
    return current


def bst_delete(root: Optional[Dict], name: str) -> Optional[Dict]:
    """Удаление из BST (итеративная версия)"""
    if root is None:
        return None
    
    # Поиск узла для удаления и его родителя
    parent = None
    current = root
    
    while current is not None and current['name'] != name:
        parent = current
        if name < current['name']:
            current = current['left']
        else:
            current = current['right']
    
    if current is None:
        return root
    
    # Случай 1: узел не имеет детей
    if current['left'] is None and current['right'] is None:
        if parent is None:
            return None
        if parent['left'] == current:
            parent['left'] = None
        else:
            parent['right'] = None
        return root
    
    # Случай 2: узел имеет одного ребёнка
    if current['left'] is None:
        child = current['right']
    elif current['right'] is None:
        child = current['left']
    else:
        # Случай 3: узел имеет двух детей
        # Находим минимальный узел в правом поддереве
        successor_parent = current
        successor = current['right']
        while successor['left'] is not None:
            successor_parent = successor
            successor = successor['left']
        
        # Копируем данные из successor в current
        current['name'] = successor['name']
        current['phone'] = successor['phone']
        
        # Удаляем successor
        if successor_parent['left'] == successor:
            successor_parent['left'] = successor['right']
        else:
            successor_parent['right'] = successor['right']
        
        return root
    
    # Присоединяем ребёнка к родителю
    if parent is None:
        return child
    if parent['left'] == current:
        parent['left'] = child
    else:
        parent['right'] = child
    
    return root


def bst_inorder(root: Optional[Dict], records: List[Tuple[str, str]]) -> None:
    """Центрированный обход BST (рекурсивный)"""
    if root is not None:
        bst_inorder(root['left'], records)
        records.append((root['name'], root['phone']))
        bst_inorder(root['right'], records)


def bst_list_all(root: Optional[Dict]) -> List[Tuple[str, str]]:
    """Сбор всех записей из BST (уже отсортированы)"""
    records = []
    bst_inorder(root, records)
    return records


    
    records.sort(key=lambda x: x[0])
    return records