[1]lab1 #208
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smirnovad/lab1/docs/LAB_REPORT.md
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smirnovad/lab1/docs/LAB_REPORT.md
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# Лабораторная работа №1: Структуры данных
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Выполнен замер производительности на выборке N=10000.
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## Сводная таблица (Средние значения)
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| Тип | Режим | Вставка | Поиск | Удаление |
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| :--- | :--- | :--- | :--- | :--- |
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| LinkedList | random | 0.00171 | 0.03253 | 0.01889 |
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| HashTable | random | 0.00315 | 0.00008 | 0.00005 |
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| BST | random | 0.02405 | 0.00021 | 0.00011 |
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| LinkedList | sorted | 0.00139 | 0.03529 | 0.01801 |
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| HashTable | sorted | 0.00289 | 0.00008 | 0.00004 |
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| BST | sorted | 10.51532 | 0.08273 | 0.05241 |
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## Основные выводы
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1. **BST** крайне чувствителен к порядку: на отсортированных данных скорость падает из-за превращения дерева в список.
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2. **HashTable** — самая стабильная структура, время операций почти не зависит от входной последовательности.
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3. **LinkedList** показывает худшее время на операциях поиска из-за необходимости полного перебора.
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smirnovad/lab1/docs/data/impact_analysis.png
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smirnovad/lab1/docs/data/impact_analysis.png
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smirnovad/lab1/docs/data/lab1.py
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smirnovad/lab1/docs/data/lab1.py
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import time
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import random
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import csv
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from pathlib import Path
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import matplotlib.pyplot as plt
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import sys
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# Увеличиваем лимит рекурсии для работы с глубокими деревьями (особенно на сортированных данных)
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sys.setrecursionlimit(15000)
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# Настройка путей (используем pathlib для гибкости)
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ROOT_DIR = Path(r"C:\Users\andre\2026-rff_mp\smirnovad\lab1")
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DOCS_DIR = ROOT_DIR / "docs"
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DATA_DIR = DOCS_DIR / "data"
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# Создание необходимых директорий
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DATA_DIR.mkdir(parents=True, exist_ok=True)
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# --- 1. СВЯЗНЫЙ СПИСОК (LinkedList) ---
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def ll_insert(first_node, name, phone):
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"""Добавление в начало списка (O(1))"""
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return {'name': name, 'phone': phone, 'next': first_node}
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def ll_find(first_node, name):
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"""Линейный поиск по имени"""
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item = first_node
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while item:
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if item['name'] == name:
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return item['phone']
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item = item['next']
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return None
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def ll_delete(first_node, name):
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"""Удаление узла по имени"""
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if not first_node:
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return None
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if first_node['name'] == name:
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return first_node['next']
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prev = first_node
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while prev['next']:
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if prev['next']['name'] == name:
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prev['next'] = prev['next']['next']
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return first_node
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prev = prev['next']
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return first_node
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def ll_list_all(first_node):
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"""Вывод всех записей в алфавитном порядке"""
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result_list = []
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item = first_node
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while item:
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result_list.append((item['name'], item['phone']))
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item = item['next']
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return sorted(result_list)
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# --- 2. ХЕШ-ТАБЛИЦА (Hash Table) ---
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def ht_insert(hash_table, name, phone):
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slot = hash(name) % len(hash_table)
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hash_table[slot] = ll_insert(hash_table[slot], name, phone)
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def ht_find(hash_table, name):
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slot = hash(name) % len(hash_table)
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return ll_find(hash_table[slot], name)
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def ht_delete(hash_table, name):
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slot = hash(name) % len(hash_table)
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hash_table[slot] = ll_delete(hash_table[slot], name)
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def ht_list_all(hash_table):
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"""Сбор данных из всех бакетов"""
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total_data = []
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for bucket in hash_table:
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node = bucket
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while node:
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total_data.append((node['name'], node['phone']))
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node = node['next']
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return sorted(total_data)
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# --- 3. ДВОИЧНОЕ ДЕРЕВО ПОИСКА (BST) ---
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def bst_insert(root, name, phone):
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if not root:
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return {'name': name, 'phone': phone, 'left': None, 'right': None}
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if name < root['name']:
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root['left'] = bst_insert(root['left'], name, phone)
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elif name > root['name']:
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root['right'] = bst_insert(root['right'], name, phone)
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else:
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root['phone'] = phone
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return root
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def bst_find(root, name):
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if not root:
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return None
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if root['name'] == name:
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return root['phone']
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if name < root['name']:
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return bst_find(root['left'], name)
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return bst_find(root['right'], name)
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def bst_delete(root, name):
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"""Удаление узла в BST"""
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if not root:
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return None
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if name < root['name']:
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root['left'] = bst_delete(root['left'], name)
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elif name > root['name']:
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root['right'] = bst_delete(root['right'], name)
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else:
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if not root['left']: return root['right']
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if not root['right']: return root['left']
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# Поиск минимального в правом поддереве
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min_node = root['right']
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while min_node['left']:
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min_node = min_node['left']
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root['name'], root['phone'] = min_node['name'], min_node['phone']
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root['right'] = bst_delete(root['right'], min_node['name'])
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return root
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# --- ЭКСПЕРИМЕНТАЛЬНАЯ ЧАСТЬ ---
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log_entries = []
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stats_summary = []
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def run_test(structure_name, data_mode, dataset):
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print(f"Тестирование: {structure_name} | Режим: {data_mode}")
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t_ins, t_find, t_del = [], [], []
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for run_idx in range(5): # 5 итераций
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# Инициализация хранилища
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storage = [None] * 1024 if structure_name == "HashTable" else None
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# 1. Замер вставки
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start = time.perf_counter()
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for n, p in dataset:
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if structure_name == "LinkedList": storage = ll_insert(storage, n, p)
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elif structure_name == "HashTable": ht_insert(storage, n, p)
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elif structure_name == "BST": storage = bst_insert(storage, n, p)
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t_ins.append(time.perf_counter() - start)
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# 2. Замер поиска (100 существующих + 10 отсутствующих)
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test_names = [x[0] for x in random.sample(dataset, 100)] + [f"Missing_{j}" for j in range(10)]
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start = time.perf_counter()
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for name_to_find in test_names:
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if structure_name == "LinkedList": ll_find(storage, name_to_find)
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elif structure_name == "HashTable": ht_find(storage, name_to_find)
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elif structure_name == "BST": bst_find(storage, name_to_find)
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t_find.append(time.perf_counter() - start)
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# 3. Замер удаления (50 записей)
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test_dels = [x[0] for x in random.sample(dataset, 50)]
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start = time.perf_counter()
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for name_to_del in test_dels:
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if structure_name == "LinkedList": storage = ll_delete(storage, name_to_del)
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elif structure_name == "HashTable": ht_delete(storage, name_to_del)
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elif structure_name == "BST": bst_delete(storage, name_to_del)
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t_del.append(time.perf_counter() - start)
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log_entries.append([structure_name, data_mode, f"Run_{run_idx+1}", t_ins[-1], t_find[-1], t_del[-1]])
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# Считаем среднее
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avg_i, avg_f, avg_d = sum(t_ins)/5, sum(t_find)/5, sum(t_del)/5
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stats_summary.append({"type": structure_name, "mode": data_mode, "ins": avg_i, "find": avg_f, "del": avg_d})
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# Генерация данных
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N_COUNT = 10000
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raw_data = [(f"User_{i:05d}", f"{random.randint(100, 999)}-{random.randint(10, 99)}") for i in range(N_COUNT)]
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data_shuffled = random.sample(raw_data, len(raw_data))
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data_sorted = sorted(raw_data)
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# Запуск тестов
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for mode_label, data_src in [("random", data_shuffled), ("sorted", data_sorted)]:
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for s_kind in ["LinkedList", "HashTable", "BST"]:
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run_test(s_kind, mode_label, data_src)
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# Сохранение CSV
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with open(DATA_DIR / "performance_stats.csv", "w", newline="", encoding="utf-8") as f:
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writer = csv.writer(f)
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writer.writerow(["Structure", "Input_Mode", "Iteration", "Insert_Sec", "Find_Sec", "Delete_Sec"])
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writer.writerows(log_entries)
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# Построение графиков
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def generate_visuals():
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ops = ["Вставка", "Поиск", "Удаление"]
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structs = ["LinkedList", "HashTable", "BST"]
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palette = ["#3498db", "#9b59b6", "#2ecc71"] # Другие цвета
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# График влияния порядка
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fig, axes = plt.subplots(1, 3, figsize=(16, 5))
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fig.suptitle("Анализ влияния упорядоченности данных", fontsize=14)
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for idx, s_name in enumerate(structs):
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r_vals = next(s for s in stats_summary if s['type'] == s_name and s['mode'] == "random")
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s_vals = next(s for s in stats_summary if s['type'] == s_name and s['mode'] == "sorted")
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pos = [0, 1, 2]
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axes[idx].bar([p - 0.2 for p in pos], [r_vals['ins'], r_vals['find'], r_vals['del']], 0.4, label='Random', color=palette[0])
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axes[idx].bar([p + 0.2 for p in pos], [s_vals['ins'], s_vals['find'], s_vals['del']], 0.4, label='Sorted', color="#e74c3c")
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axes[idx].set_title(s_name)
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axes[idx].set_xticks(pos)
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axes[idx].set_xticklabels(ops)
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axes[idx].legend()
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plt.tight_layout()
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plt.savefig(DATA_DIR / "impact_analysis.png")
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generate_visuals()
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# Генерация отчета
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with open(DOCS_DIR / "LAB_REPORT.md", "w", encoding="utf-8") as f:
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f.write("# Лабораторная работа №1: Структуры данных\n\n")
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f.write(f"Выполнен замер производительности на выборке N={N_COUNT}.\n")
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f.write("## Сводная таблица (Средние значения)\n")
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f.write("| Тип | Режим | Вставка | Поиск | Удаление |\n| :--- | :--- | :--- | :--- | :--- |\n")
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for s in stats_summary:
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f.write(f"| {s['type']} | {s['mode']} | {s['ins']:.5f} | {s['find']:.5f} | {s['del']:.5f} |\n")
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f.write("\n## Основные выводы\n")
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f.write("1. **BST** крайне чувствителен к порядку: на отсортированных данных скорость падает из-за превращения дерева в список.\n")
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f.write("2. **HashTable** — самая стабильная структура, время операций почти не зависит от входной последовательности.\n")
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f.write("3. **LinkedList** показывает худшее время на операциях поиска из-за необходимости полного перебора.")
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print(f"Все файлы успешно сохранены в {DOCS_DIR}")
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31
smirnovad/lab1/docs/data/performance_stats.csv
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smirnovad/lab1/docs/data/performance_stats.csv
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Structure,Input_Mode,Iteration,Insert_Sec,Find_Sec,Delete_Sec
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LinkedList,random,Run_1,0.0023578000254929066,0.031007900135591626,0.01914949994534254
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LinkedList,random,Run_2,0.0014043999835848808,0.035298199858516455,0.02021360001526773
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LinkedList,random,Run_3,0.0016908999532461166,0.031882400158792734,0.016559200128540397
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LinkedList,random,Run_4,0.0016268000472337008,0.033718999940901995,0.01765769999474287
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LinkedList,random,Run_5,0.00146949989721179,0.030750300036743283,0.020888000028207898
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HashTable,random,Run_1,0.003547400003299117,7.690000347793102e-05,6.220000796020031e-05
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HashTable,random,Run_2,0.0028089999686926603,6.849993951618671e-05,3.900006413459778e-05
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HashTable,random,Run_3,0.002920700004324317,7.139984518289566e-05,4.020007327198982e-05
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HashTable,random,Run_4,0.003132300218567252,6.630015559494495e-05,3.860006108880043e-05
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HashTable,random,Run_5,0.003326199948787689,0.00011060014367103577,6.16998877376318e-05
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BST,random,Run_1,0.021002399967983365,0.00020360015332698822,0.00011419993825256824
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BST,random,Run_2,0.020290900021791458,0.00019980012439191341,0.00010569998994469643
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BST,random,Run_3,0.019706800114363432,0.00019660010002553463,0.00010689999908208847
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BST,random,Run_4,0.019484999822452664,0.00018949992954730988,0.0001066999975591898
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BST,random,Run_5,0.03975450014695525,0.00024339999072253704,0.00013699987903237343
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LinkedList,sorted,Run_1,0.0015730001032352448,0.03809090005233884,0.01893949997611344
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LinkedList,sorted,Run_2,0.001297699986025691,0.033360299887135625,0.01909619988873601
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LinkedList,sorted,Run_3,0.0015416000969707966,0.03634240012615919,0.016841999953612685
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LinkedList,sorted,Run_4,0.0012899001594632864,0.03580150008201599,0.0170306998770684
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LinkedList,sorted,Run_5,0.0012546998914331198,0.03284729993902147,0.018117799889296293
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HashTable,sorted,Run_1,0.0034030000679194927,8.430005982518196e-05,3.66999302059412e-05
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HashTable,sorted,Run_2,0.002653100062161684,6.769993342459202e-05,3.760005347430706e-05
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HashTable,sorted,Run_3,0.0026434999890625477,6.690016016364098e-05,3.8400059565901756e-05
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HashTable,sorted,Run_4,0.002997299889102578,7.299985736608505e-05,4.179985262453556e-05
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HashTable,sorted,Run_5,0.002777900081127882,8.819997310638428e-05,3.800005652010441e-05
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BST,sorted,Run_1,9.951400500023738,0.07922379998490214,0.0600940000731498
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BST,sorted,Run_2,10.377625699853525,0.08713930007070303,0.05045670014806092
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BST,sorted,Run_3,12.112230099970475,0.08630810002796352,0.050702399807050824
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BST,sorted,Run_4,10.117846999783069,0.0832209000363946,0.05910569988191128
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BST,sorted,Run_5,10.017497000051662,0.07774659991264343,0.041689899982884526
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