2026-rff_mp/sorokinfi/427.md

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import csv
import random
import sys
import time
from collections import defaultdict
# увеличиваем лимит рекурсии
sys.setrecursionlimit(25000)
# 1. связный список, узел: {'name': 'Имя', 'phone': '123', 'next': None}
# проходит до конца и добавляет в конец
def ll_insert(head, name, phone):
new_node = {'name': name, 'phone': phone, 'next': None}
if head is None:
return new_node
current = head
while current['next'] is not None:
current = current['next']
current['next'] = new_node
return head
# ищет узел, возвращает телефон или None
def ll_find(head, name):
current = head
while current is not None:
if current['name'] == name:
return current['phone']
current = current['next']
return None
# удаляет узел, возвращает новую голову
def ll_delete(head, name):
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
# собирает все записи в список и сортирует
def ll_list_all(head):
records = []
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
# 2. хеш-таблица
# хеш-функция для вычисления бекета
def ht_hash(name, size):
return hash(name) % size
# вычисляет индекс, вызывает ll_insert для соответствующего бакета
def ht_insert(buckets, name, phone):
size = len(buckets)
idx = ht_hash(name, size)
buckets[idx] = ll_insert(buckets[idx], name, phone)
# поиск по хеш-таблице
def ht_find(buckets, name):
size = len(buckets)
idx = ht_hash(name, size)
return ll_find(buckets[idx], name)
# удаление из хеш-таблицы
def ht_delete(buckets, name):
size = len(buckets)
idx = ht_hash(name, size)
buckets[idx] = ll_delete(buckets[idx], name)
# собирает все записи из всех бакетов и сортирует
def ht_list_all(buckets):
all_records = []
for head in buckets:
current = head
while current is not None:
all_records.append((current['name'], current['phone']))
current = current['next']
all_records.sort(key=lambda x: x[0])
return all_records
# 3. двоичное дерево поиска
# узел — словарь: {'name': 'Имя', 'phone': '123', 'left': None, 'right': None}
# рекурсивно или итеративно вставляет, возвращает новый корень (если корень меняется)
def bst_insert(root, name, phone):
if root is None:
return {'name': name, 'phone': phone, 'left': None, 'right': None}
if name < root['name']:
root['left'] = bst_insert(root['left'], name, phone)
elif name > root['name']:
root['right'] = bst_insert(root['right'], name, phone)
else:
root['phone'] = phone
return root
# поиск
def bst_find(root, name):
if root is None:
return None
if name == root['name']:
return root['phone']
elif name < root['name']:
return bst_find(root['left'], name)
else:
return bst_find(root['right'], name)
# удаление, возвращает новый корень
def bst_delete(root, name):
if root is None:
return None
if name < root['name']:
root['left'] = bst_delete(root['left'], name)
elif name > root['name']:
root['right'] = bst_delete(root['right'], name)
else:
# одна ветвь или её отсутствие
if root['left'] is None:
return root['right']
if root['right'] is None:
return root['left']
# две ветви
successor = root['right']
while successor['left'] is not None:
successor = successor['left']
root['name'] = successor['name']
root['phone'] = successor['phone']
root['right'] = bst_delete(root['right'], successor['name'])
return root
# центрированный обход (рекурсивно собирает записи в отсортированном порядке)
def bst_list_all(root):
records = []
def _inorder(node):
if node is not None:
_inorder(node['left'])
records.append((node['name'], node['phone']))
_inorder(node['right'])
_inorder(root)
return records
# ЭКСПЕРИМЕНТАЛЬНАЯ ЧАСТЬ
def run_experiments():
N = 3000
HASH_SIZE = 1007
print(f"генерация тестовых данных для N = {N}...")
records_sorted = [(f"User_{i:05d}", f"+7999123{i:04d}") for i in range(N)]
records_shuffled = records_sorted.copy()
random.seed(42)
random.shuffle(records_shuffled)
# подготовка выборок
existing_sample = [r[0] for r in random.sample(records_sorted, min(100, N))]
non_existing_sample = [f"None_{i}" for i in range(10)]
search_names = existing_sample + non_existing_sample
delete_names = [r[0] for r in random.sample(records_sorted, min(50, N))]
csv_rows = [["структура", "режим", "операция", "повторение", "время (сек)"]]
modes = [("случайный", records_shuffled), ("отсортированный", records_sorted)]
print("запуск экспериментов (5 повторений для каждого режима)")
# ТЕСТ: СВЯЗНЫЙ СПИСОК
for mode_name, data in modes:
for rep in range(1, 6):
head = None
t_start = time.perf_counter()
for name, phone in data:
head = ll_insert(head, name, phone)
t_end = time.perf_counter()
csv_rows.append(["LinkedList", mode_name, "вставка", rep, t_end - t_start])
t_start = time.perf_counter()
for name in search_names:
ll_find(head, name)
t_end = time.perf_counter()
csv_rows.append(["LinkedList", mode_name, "поиск", rep, t_end - t_start])
t_start = time.perf_counter()
for name in delete_names:
head = ll_delete(head, name)
t_end = time.perf_counter()
csv_rows.append(["LinkedList", mode_name, "удаление", rep, t_end - t_start])
# ТЕСТ: ХЕШ-ТАБЛИЦА
for mode_name, data in modes:
for rep in range(1, 6):
buckets = [None] * HASH_SIZE
t_start = time.perf_counter()
for name, phone in data:
ht_insert(buckets, name, phone)
t_end = time.perf_counter()
csv_rows.append(["HashTable", mode_name, "вставка", rep, t_end - t_start])
t_start = time.perf_counter()
for name in search_names:
ht_find(buckets, name)
t_end = time.perf_counter()
csv_rows.append(["HashTable", mode_name, "поиск", rep, t_end - t_start])
t_start = time.perf_counter()
for name in delete_names:
ht_delete(buckets, name)
t_end = time.perf_counter()
csv_rows.append(["HashTable", mode_name, "удаление", rep, t_end - t_start])
# ТЕСТ: ДЕРЕВО ПОИСКА (BST)
for mode_name, data in modes:
for rep in range(1, 6):
root = None
t_start = time.perf_counter()
for name, phone in data:
root = bst_insert(root, name, phone)
t_end = time.perf_counter()
csv_rows.append(["BST", mode_name, "вставка", rep, t_end - t_start])
t_start = time.perf_counter()
for name in search_names:
bst_find(root, name)
t_end = time.perf_counter()
csv_rows.append(["BST", mode_name, "поиск", rep, t_end - t_start])
t_start = time.perf_counter()
for name in delete_names:
root = bst_delete(root, name)
t_end = time.perf_counter()
csv_rows.append(["BST", mode_name, "удаление", rep, t_end - t_start])
# сохранение в csv
with open("results.csv", "w", newline="", encoding="utf-8") as f:
writer = csv.writer(f)
writer.writerows(csv_rows)
print("\nвсе замеры сохранены в файл 'results.csv'.")
show_summary(csv_rows)
# функция для подсчета и вывода среднего времени
def show_summary(rows):
summary = defaultdict(list)
for row in rows[1:]:
struct, mode, op, rep, elapsed = row
summary[(struct, mode, op)].append(elapsed)
print("\nСВОДНЫЕ РЕЗУЛЬТАТЫ (СРЕДНЕЕ ВРЕМЯ ИЗ 5 ЗАПУСКОВ)")
print(f"{'структура':<12} | {'режим данных':<15} | {'операция':<10} | {'время (сек)':<12}")
print("-" * 59)
for (struct, mode, op), times in sorted(summary.items()):
avg_time = sum(times) / len(times)
print(f"{struct:<12} | {mode:<15} | {op:<10} | {avg_time:.6f}")
if __name__ == "__main__":
run_experiments()