import time import random import csv import sys import matplotlib.pyplot as plt import numpy as np sys.setrecursionlimit(20000) REPEATS = 5 N = 10000 def ll_insert(head, name, phone): current = head prev = None while current is not None: if current['name'] == name: current['phone'] = phone return head prev = current current = current['next'] new_node = {'name': name, 'phone': phone, 'next': None} if prev is None: return new_node else: prev['next'] = new_node return head def ll_find(head, name): current = head while current is not None: if current['name'] == name: return current['phone'] current = current['next'] return None 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 def ll_collect_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 def hash_function(name, size): total = 0 for ch in name: total = (total * 31 + ord(ch)) % size return total def ht_create(size=2000): return [None] * size def ht_insert(buckets, name, phone): idx = hash_function(name, len(buckets)) buckets[idx] = ll_insert(buckets[idx], name, phone) def ht_find(buckets, name): idx = hash_function(name, len(buckets)) return ll_find(buckets[idx], name) def ht_delete(buckets, name): idx = hash_function(name, len(buckets)) buckets[idx] = ll_delete(buckets[idx], name) def ht_collect_all(buckets): all_records = [] for bucket in buckets: current = bucket 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 def bst_insert(root, name, phone): 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 current = current['left'] elif name > current['name']: if current['right'] is None: current['right'] = new_node break current = current['right'] else: current['phone'] = phone break return root def bst_find(root, name): current = root while current is not None: if name < current['name']: current = current['left'] elif name > current['name']: current = current['right'] else: return current['phone'] return None def bst_find_min(node): while node['left'] is not None: node = node['left'] return node def bst_delete(root, name): 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 if parent['left'] is current: parent['left'] = None else: parent['right'] = None return root if current['left'] is None: if parent is None: return current['right'] if parent['left'] is current: parent['left'] = current['right'] else: parent['right'] = current['right'] return root if current['right'] is None: if parent is None: return current['left'] if parent['left'] is current: parent['left'] = current['left'] else: parent['right'] = current['left'] return root succ_parent = current succ = current['right'] while succ['left'] is not None: succ_parent = succ succ = succ['left'] current['name'] = succ['name'] current['phone'] = succ['phone'] if succ_parent['left'] is succ: succ_parent['left'] = succ['right'] else: succ_parent['right'] = succ['right'] return root def bst_inorder_collect(root, records=None): if records is None: records = [] if root is not None: bst_inorder_collect(root['left'], records) records.append((root['name'], root['phone'])) bst_inorder_collect(root['right'], records) return records def generate_records(N=10000): records = [] for i in range(N): name = f"User_{i:05d}" phone = f"+7-999-{random.randint(1000000, 9999999)}" records.append((name, phone)) return records def measure_insertion(struct_type, records): times = [] for _ in range(REPEATS): if struct_type == 'll': head = None start = time.perf_counter() for name, phone in records: head = ll_insert(head, name, phone) end = time.perf_counter() elif struct_type == 'ht': buckets = ht_create(2000) start = time.perf_counter() for name, phone in records: ht_insert(buckets, name, phone) end = time.perf_counter() else: root = None start = time.perf_counter() for name, phone in records: root = bst_insert(root, name, phone) end = time.perf_counter() times.append(end - start) return times def build_structure(struct_type, records): if struct_type == 'll': head = None for name, phone in records: head = ll_insert(head, name, phone) return head elif struct_type == 'ht': buckets = ht_create(2000) for name, phone in records: ht_insert(buckets, name, phone) return buckets else: root = None for name, phone in records: root = bst_insert(root, name, phone) return root def measure_search(struct_type, structure, records): times = [] N_records = len(records) for _ in range(REPEATS): indices = random.sample(range(N_records), 100) existing_names = [records[i][0] for i in indices] missing_names = [f"None_{i}" for i in range(10)] search_names = existing_names + missing_names random.shuffle(search_names) start = time.perf_counter() if struct_type == 'll': for name in search_names: ll_find(structure, name) elif struct_type == 'ht': for name in search_names: ht_find(structure, name) else: for name in search_names: bst_find(structure, name) times.append(time.perf_counter() - start) return times def measure_deletion(struct_type, records): times = [] N_records = len(records) for _ in range(REPEATS): indices = random.sample(range(N_records), 50) delete_names = [records[i][0] for i in indices] if struct_type == 'll': head = None for name, phone in records: head = ll_insert(head, name, phone) start = time.perf_counter() for name in delete_names: head = ll_delete(head, name) end = time.perf_counter() elif struct_type == 'ht': buckets = ht_create(2000) for name, phone in records: ht_insert(buckets, name, phone) start = time.perf_counter() for name in delete_names: ht_delete(buckets, name) end = time.perf_counter() else: root = None for name, phone in records: root = bst_insert(root, name, phone) start = time.perf_counter() for name in delete_names: root = bst_delete(root, name) end = time.perf_counter() times.append(end - start) return times def plot_bar_charts(insert_data, search_data, delete_data): """Построение столбчатых диаграмм""" structures = ['ll', 'ht', 'bst'] labels = ['Связный список', 'Хеш-таблица', 'Двоичное дерево'] mode_labels = ['Случайный порядок', 'Отсортированный порядок'] colors = ['skyblue', 'salmon'] x = np.arange(len(structures)) width = 0.35 # График вставки fig1, ax1 = plt.subplots(figsize=(10, 6)) means_sh = [sum(insert_data[s]['shuffled'])/len(insert_data[s]['shuffled']) for s in structures] means_so = [sum(insert_data[s]['sorted'])/len(insert_data[s]['sorted']) for s in structures] rects1 = ax1.bar(x - width/2, means_sh, width, label=mode_labels[0], color=colors[0]) rects2 = ax1.bar(x + width/2, means_so, width, label=mode_labels[1], color=colors[1]) ax1.set_ylabel('Время (секунды)') ax1.set_title('Вставка всех записей (10000 шт.)') ax1.set_xticks(x) ax1.set_xticklabels(labels) ax1.legend() ax1.set_yscale('log') for rect in rects1 + rects2: h = rect.get_height() ax1.annotate(f'{h:.4f}', xy=(rect.get_x() + rect.get_width()/2, h), xytext=(0, 3), textcoords="offset points", ha='center', va='bottom', fontsize=8) plt.tight_layout() plt.savefig('insert_comparison.png', dpi=150) plt.show() print(" График вставки сохранён: insert_comparison.png") # График поиска fig2, ax2 = plt.subplots(figsize=(10, 6)) means_sh = [sum(search_data[s]['shuffled'])/len(search_data[s]['shuffled']) for s in structures] means_so = [sum(search_data[s]['sorted'])/len(search_data[s]['sorted']) for s in structures] rects1 = ax2.bar(x - width/2, means_sh, width, label=mode_labels[0], color=colors[0]) rects2 = ax2.bar(x + width/2, means_so, width, label=mode_labels[1], color=colors[1]) ax2.set_ylabel('Время (секунды)') ax2.set_title('Поиск (100 существующих + 10 отсутствующих)') ax2.set_xticks(x) ax2.set_xticklabels(labels) ax2.legend() for rect in rects1 + rects2: h = rect.get_height() ax2.annotate(f'{h:.6f}', xy=(rect.get_x() + rect.get_width()/2, h), xytext=(0, 3), textcoords="offset points", ha='center', va='bottom', fontsize=8) plt.tight_layout() plt.savefig('search_comparison.png', dpi=150) plt.show() print(" График поиска сохранён: search_comparison.png") # График удаления fig3, ax3 = plt.subplots(figsize=(10, 6)) means_sh = [sum(delete_data[s]['shuffled'])/len(delete_data[s]['shuffled']) for s in structures] means_so = [sum(delete_data[s]['sorted'])/len(delete_data[s]['sorted']) for s in structures] rects1 = ax3.bar(x - width/2, means_sh, width, label=mode_labels[0], color=colors[0]) rects2 = ax3.bar(x + width/2, means_so, width, label=mode_labels[1], color=colors[1]) ax3.set_ylabel('Время (секунды)') ax3.set_title('Удаление 50 случайных записей') ax3.set_xticks(x) ax3.set_xticklabels(labels) ax3.legend() for rect in rects1 + rects2: h = rect.get_height() ax3.annotate(f'{h:.6f}', xy=(rect.get_x() + rect.get_width()/2, h), xytext=(0, 3), textcoords="offset points", ha='center', va='bottom', fontsize=8) plt.tight_layout() plt.savefig('delete_comparison.png', dpi=150) plt.show() print(" График удаления сохранён: delete_comparison.png") def plot_attempts_graphs(data, op_name, op_title): """Построение графиков по 5 попыткам""" fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 5)) struct_config = [ ('ll', 'Связный список', 'red', 'o'), ('ht', 'Хеш-таблица', 'green', 's'), ('bst', 'Двоичное дерево', 'blue', '^') ] # Случайный порядок for struct, label, color, marker in struct_config: times = data[struct]['shuffled'] x = range(1, len(times) + 1) ax1.plot(x, times, marker=marker, color=color, label=label, linestyle='--', linewidth=1) ax1.scatter(x, times, color=color, s=60, zorder=5) ax1.set_xlabel('Номер попытки') ax1.set_ylabel('Время (секунды)') ax1.set_title(f'{op_title} – случайный порядок') ax1.legend() ax1.grid(True, linestyle=':', alpha=0.7) # Отсортированный порядок for struct, label, color, marker in struct_config: times = data[struct]['sorted'] x = range(1, len(times) + 1) ax2.plot(x, times, marker=marker, color=color, label=label, linestyle='--', linewidth=1) ax2.scatter(x, times, color=color, s=60, zorder=5) ax2.set_xlabel('Номер попытки') ax2.set_ylabel('Время (секунды)') ax2.set_title(f'{op_title} – отсортированный порядок') ax2.legend() ax2.grid(True, linestyle=':', alpha=0.7) plt.tight_layout() plt.savefig(f'{op_name}_5attempts.png', dpi=150) plt.show() print(f" График {op_name}_5attempts.png сохранён")