Merge pull request '[1] task 1' (#258) from groshevava/2026-rff_mp:groshevava into develop

Reviewed-on: UNN/2026-rff_mp#258
This commit is contained in:
AndreyUrs 2026-05-30 11:49:49 +00:00
commit 93fb15f301
6 changed files with 549 additions and 0 deletions

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groshevava/docs/data/bst.py Normal file
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#реализация справочника на основе бинарного дерева поиска (BST).
#создаём узел
def bst_create_node(name, phone):
return {
'name': name,
'phone': phone,
'left': None,
'right': None
}
#Вставляет запись в BST или обновляет.Возвращает корень дерева
def bst_insert(root, name, phone):
new_node = bst_create_node(name, phone)
if root is None:
return new_node
current = root
parent = None
while current is not None:
parent = current
if name < current['name']:
current = current['left']
elif name > current['name']:
current = current['right']
else:
current['phone'] = phone
return root
#вставляем новый узел
if name < parent['name']:
parent['left'] = new_node
else:
parent['right'] = new_node
return root
#ищет запись в BST по имени. Возвращает телефон или None
def bst_find(root, name):
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
#Находит узел с минимальным значением
def _bst_find_min(node):
current = node
while current['left'] is not None:
current = current['left']
return current
#удаляет запись из BST по имени. Возвращает новый корень дерева
def bst_delete(root, name):
if root is None:
return None
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
if current['left'] is None and current['right'] is None:
if parent is None:
return None
elif parent['left'] == current:
parent['left'] = None
else:
parent['right'] = None
return root
if current['left'] is None:
if parent is None:
return current['right']
elif parent['left'] == current:
parent['left'] = current['right']
else:
parent['right'] = current['right']
return root
if current['right'] is None:
if parent is None:
return current['left']
elif parent['left'] == current:
parent['left'] = current['left']
else:
parent['right'] = current['left']
return root
successor_parent = current
successor = current['right']
while successor['left'] is not None:
successor_parent = successor
successor = successor['left']
current['name'] = successor['name']
current['phone'] = successor['phone']
if successor_parent == current:
successor_parent['right'] = successor['right']
else:
successor_parent['left'] = successor['right']
return root
#рекурсивно собирает записи дерева по возрастанию имён
def _bst_in_order_collect(node, records):
if node is not None:
_bst_in_order_collect(node['left'], records)
records.append((node['name'], node['phone']))
_bst_in_order_collect(node['right'], records)
#отсортированный список всех записей
def bst_list_all(root):
records = []
# Для очень глубоких деревьев лучше использовать итеративный обход
_bst_in_order_iterative(root, records)
return records
#центрированный обход дерева.
def _bst_in_order_iterative(root, records):
stack = []
current = root
while current is not None or len(stack) > 0:
# доходим до самого левого узла
while current is not None:
stack.append(current)
current = current['left']
# обрабатываем узел
current = stack.pop()
records.append((current['name'], current['phone']))
#переходим к правому поддереву
current = current['right']

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#проведение экспериментов и замер производительности
import time
import random
import csv
from linked_list import ll_insert, ll_find, ll_delete, ll_list_all
from hash_table import ht_create, ht_insert, ht_find, ht_delete, ht_list_all
from bst import bst_insert, bst_find, bst_delete, bst_list_all
#генерирует записи справочника. shuffled- случайный порядок, sorted-отсортированный по имени
def generate_test_data(n=10000, seed=42):
random.seed(seed)
names = [f"User_{i:05d}" for i in range(n)]
phones = [f"+7-999-{i:07d}" for i in range(n)]
records = list(zip(names, phones))
records_shuffled = records.copy()
random.shuffle(records_shuffled)
records_sorted = sorted(records, key=lambda x: x[0])
return records_shuffled, records_sorted
#замеряем время
def measure_insert(ll_structure, ht_structure, bst_structure, records, mode_name):
results = []
# Связный список
start = time.perf_counter()
head = None
for name, phone in records:
head = ll_insert(head, name, phone)
end = time.perf_counter()
results.append(["LinkedList", mode_name, "вставка", end - start])
# Хеш-таблица
start = time.perf_counter()
buckets = ht_create(256)
for name, phone in records:
ht_insert(buckets, name, phone)
end = time.perf_counter()
results.append(["HashTable", mode_name, "вставка", end - start])
# BST
start = time.perf_counter()
root = None
for name, phone in records:
root = bst_insert(root, name, phone)
end = time.perf_counter()
results.append(["BST", mode_name, "вставка", end - start])
return results, head, buckets, root
def measure_find(head, buckets, root, all_names, mode_name):
results = []
# Выбираем 100 случайных существующих и 10 несуществующих имён
existing_names = random.sample(all_names, 100)
non_existing_names = [f"None_{i}" for i in range(10)]
search_names = existing_names + non_existing_names
# Связный список
start = time.perf_counter()
for name in search_names:
ll_find(head, name)
end = time.perf_counter()
results.append(["LinkedList", mode_name, "поиск", end - start])
# Хеш-таблица
start = time.perf_counter()
for name in search_names:
ht_find(buckets, name)
end = time.perf_counter()
results.append(["HashTable", mode_name, "поиск", end - start])
# BST
start = time.perf_counter()
for name in search_names:
bst_find(root, name)
end = time.perf_counter()
results.append(["BST", mode_name, "поиск", end - start])
return results
def measure_delete(head, buckets, root, all_names, mode_name):
results = []
# Выбираем 50 случайных имён для удаления
delete_names = random.sample(all_names, 50)
# Связный список
start = time.perf_counter()
for name in delete_names:
head = ll_delete(head, name)
end = time.perf_counter()
results.append(["LinkedList", mode_name, "удаление", end - start])
# Хеш-таблица
start = time.perf_counter()
for name in delete_names:
ht_delete(buckets, name)
end = time.perf_counter()
results.append(["HashTable", mode_name, "удаление", end - start])
# BST
start = time.perf_counter()
for name in delete_names:
root = bst_delete(root, name)
end = time.perf_counter()
results.append(["BST", mode_name, "удаление", end - start])
return results
#проводим эксперименты
def run_experiments(records_shuffled, records_sorted, repetitions=5):
all_results = [
["Структура", "Режим", "Операция", "Время (сек)"]
]
all_names = [record[0] for record in records_shuffled]
for rep in range(repetitions):
print(f"Повторение {rep + 1}/{repetitions}")
# Шаффлированные данные
results, head, buckets, root = measure_insert(
None, None, None, records_shuffled, "случайный"
)
all_results.extend(results)
results = measure_find(head, buckets, root, all_names, "случайный")
all_results.extend(results)
results = measure_delete(head, buckets, root, all_names, "случайный")
all_results.extend(results)
# Отсортированные данные
results, head, buckets, root = measure_insert(
None, None, None, records_sorted, "отсортированный"
)
all_results.extend(results)
results = measure_find(head, buckets, root, all_names, "отсортированный")
all_results.extend(results)
results = measure_delete(head, buckets, root, all_names, "отсортированный")
all_results.extend(results)
return all_results
def save_results(results, filename="results.csv"):
with open(filename, 'w', newline='', encoding='utf-8') as f:
writer = csv.writer(f)
writer.writerows(results)
print(f"Результаты сохранены в {filename}")
def analyze_results(filename="results.csv"):
from collections import defaultdict
with open(filename, 'r', encoding='utf-8') as f:
reader = csv.reader(f)
next(reader) # пропускаем заголовок
data = list(reader)
# Группируем для вычисления средних
stats = defaultdict(list)
for row in data:
structure, mode, operation, time_str = row
key = (structure, mode, operation)
stats[key].append(float(time_str))
print("\nСредние времена выполнения (сек):")
print("-" * 60)
print(f"{'Структура':<15} {'Режим':<20} {'Операция':<10} {'Время':<10}")
print("-" * 60)
for (structure, mode, operation), times in sorted(stats.items()):
avg_time = sum(times) / len(times)
print(f"{structure:<15} {mode:<20} {operation:<10} {avg_time:<10.6f}")
if __name__ == "__main__":
print("Генерация тестовых данных...")
records_shuffled, records_sorted = generate_test_data(10000)
print("Запуск экспериментов...")
results = run_experiments(records_shuffled, records_sorted, repetitions=5)
save_results(results)
analyze_results()

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#Телефонного справочник на основе хеш-таблицы.
#Использует метод цепочек
from linked_list import ll_insert, ll_find, ll_delete, ll_list_all
#Хеш-функция для строки имени.
#Использует полиномиальное хеширование.
def ht_hash(name, bucket_count):
hash_value = 0
p = 31
for char in name:
hash_value = (hash_value * p + ord(char)) % bucket_count
return hash_value
#Создаёт пустую таблицу
def ht_create(bucket_count=128):
return [None] * bucket_count
#Добавляет запись в таблицу.
#Вычисляет хэш, затем вставляет в нужный бакет.
def ht_insert(buckets, name, phone):
index = ht_hash(name, len(buckets))
buckets[index] = ll_insert(buckets[index], name, phone)
#ищет запись в таблице
def ht_find(buckets, name):
index = ht_hash(name, len(buckets))
return ll_find(buckets[index], name)
#удаляет запись
def ht_delete(buckets, name):
index = ht_hash(name, len(buckets))
buckets[index] = ll_delete(buckets[index], name)
#сортировка по имени
def ht_list_all(buckets):
all_records = []
for bucket_head in buckets:
records = ll_list_all(bucket_head)
all_records.extend(records)
all_records.sort(key=lambda x: x[0])
return all_records

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#Телефонного справочник - связный список
#создаёт новый узел
def ll_create_node(name, phone):
return {'name': name, 'phone': phone, 'next': None}
#добавляет запись в конец списка или обновляет.
def ll_insert(head, name, phone):
new_node = ll_create_node(name, phone)
if head is None:
return new_node
if head['name'] == name:
new_node['next'] = head['next']
return new_node
current = head
while current['next'] is not None:
if current['next']['name'] == name:
new_node['next'] = current['next']['next']
current['next'] = new_node
return head
current = current['next']
current['next'] = new_node
return head
#ищет запись по имени
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 запись из связного списка
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 связного списка в список name-phone, сортирует по имени
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

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Структура,Режим,Операция,Время (сек)
LinkedList,случайный,вставка,7.0379601
HashTable,случайный,вставка,0.06370939999999958
BST,случайный,вставка,0.027558299999999925
LinkedList,случайный,поиск,0.05380779999999952
HashTable,случайный,поиск,0.0008359000000002226
BST,случайный,поиск,0.00036180000000030077
LinkedList,случайный,удаление,0.03279429999999994
HashTable,случайный,удаление,0.00046319999999955286
BST,случайный,удаление,0.0002371000000005452
LinkedList,отсортированный,вставка,6.794934100000001
HashTable,отсортированный,вставка,0.06352280000000121
BST,отсортированный,вставка,6.0836668
LinkedList,отсортированный,поиск,0.06371549999999715
HashTable,отсортированный,поиск,0.0013053000000020631
BST,отсортированный,поиск,0.05756839999999741
LinkedList,отсортированный,удаление,0.038222600000000995
HashTable,отсортированный,удаление,0.0011298000000010688
BST,отсортированный,удаление,0.036374399999999696
LinkedList,случайный,вставка,7.183893999999999
HashTable,случайный,вставка,0.06642779999999959
BST,случайный,вставка,0.025029599999999874
LinkedList,случайный,поиск,0.05042710000000028
HashTable,случайный,поиск,0.0008175000000001376
BST,случайный,поиск,0.00032500000000013074
LinkedList,случайный,удаление,0.04681619999999853
HashTable,случайный,удаление,0.0006166999999983602
BST,случайный,удаление,0.0002557000000003029
LinkedList,отсортированный,вставка,7.153371900000003
HashTable,отсортированный,вставка,0.05732309999999785
BST,отсортированный,вставка,6.7899777999999955
LinkedList,отсортированный,поиск,0.1498364000000052
HashTable,отсортированный,поиск,0.0021344999999968195
BST,отсортированный,поиск,0.08021600000000007
LinkedList,отсортированный,удаление,0.04531419999999997
HashTable,отсортированный,удаление,0.0005183999999971434
BST,отсортированный,удаление,0.032904900000005455
LinkedList,случайный,вставка,7.787066500000002
HashTable,случайный,вставка,0.06794790000000006
BST,случайный,вставка,0.028658900000003484
LinkedList,случайный,поиск,0.055633000000000266
HashTable,случайный,поиск,0.0011372000000022808
BST,случайный,поиск,0.00041319999999700485
LinkedList,случайный,удаление,0.04464529999999911
HashTable,случайный,удаление,0.0006264000000015812
BST,случайный,удаление,0.00025480000000044356
LinkedList,отсортированный,вставка,7.047079400000001
HashTable,отсортированный,вставка,0.07149469999999525
BST,отсортированный,вставка,6.004278499999998
LinkedList,отсортированный,поиск,0.059245700000005286
HashTable,отсортированный,поиск,0.0008623000000014258
BST,отсортированный,поиск,0.061085500000004345
LinkedList,отсортированный,удаление,0.038738300000005665
HashTable,отсортированный,удаление,0.00047229999999842676
BST,отсортированный,удаление,0.03476669999999871
LinkedList,случайный,вставка,7.814853800000002
HashTable,случайный,вставка,0.06793270000000007
BST,случайный,вставка,0.026476199999990513
LinkedList,случайный,поиск,0.056167000000002076
HashTable,случайный,поиск,0.0007876000000095473
BST,случайный,поиск,0.0003126000000008844
LinkedList,случайный,удаление,0.042319900000009625
HashTable,случайный,удаление,0.000520099999988588
BST,случайный,удаление,0.00023889999999937572
LinkedList,отсортированный,вставка,7.297540700000013
HashTable,отсортированный,вставка,0.06405399999999872
BST,отсортированный,вставка,6.252882799999995
LinkedList,отсортированный,поиск,0.058841400000005706
HashTable,отсортированный,поиск,0.0008604000000076439
BST,отсортированный,поиск,0.05284110000000908
LinkedList,отсортированный,удаление,0.03360689999999522
HashTable,отсортированный,удаление,0.00047010000000113905
BST,отсортированный,удаление,0.02865070000000003
LinkedList,случайный,вставка,7.937439900000001
HashTable,случайный,вставка,0.06798210000000893
BST,случайный,вставка,0.042214500000000044
LinkedList,случайный,поиск,0.0645776000000069
HashTable,случайный,поиск,0.0007535999999959131
BST,случайный,поиск,0.0003451000000040949
LinkedList,случайный,удаление,0.04297359999999628
HashTable,случайный,удаление,0.0005001999999905138
BST,случайный,удаление,0.00021639999999933934
LinkedList,отсортированный,вставка,7.474806200000003
HashTable,отсортированный,вставка,0.06952760000000069
BST,отсортированный,вставка,6.475523199999998
LinkedList,отсортированный,поиск,0.054521199999996384
HashTable,отсортированный,поиск,0.0008888999999925318
BST,отсортированный,поиск,0.049161900000001424
LinkedList,отсортированный,удаление,0.03957100000000935
HashTable,отсортированный,удаление,0.0004850999999916894
BST,отсортированный,удаление,0.03728519999999946
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