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f1d9a64911
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c3131ce0f6
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@ -1,19 +0,0 @@
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structure,order,operation,run1,run2,run3,run4,run5,average
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LinkedList,random,insert,3.000600399999712,3.022712899999533,2.9421689999999217,2.9075659000000087,3.0319512999994913,2.980999899999733
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LinkedList,random,find,0.031094500000108383,0.02800200000001496,0.034349299999121286,0.029372199999670556,0.03242119999958959,0.031047839999700955
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LinkedList,random,delete,0.017322699999567703,0.0368361000000732,0.04029200000059063,0.03775789999963308,0.03554420000000391,0.033550579999973705
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HashTable,random,insert,0.011551699999472476,0.012756400000398571,0.011765299999751733,0.011679000000185624,0.011983400000644906,0.011947160000090662
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HashTable,random,find,0.00012409999999363208,0.00011009999980160501,0.0001415999995515449,0.00010400000064691994,0.00010089999977935804,0.000116139999954612
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HashTable,random,delete,6.38999999864609e-05,6.779999966965988e-05,6.0600000324484427e-05,6.070000017643906e-05,6.0600000324484427e-05,6.272000009630574e-05
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BST,random,insert,0.014788199999202334,0.014159299999846553,0.013975800000480376,0.014118900000539725,0.013331299999663315,0.01407469999994646
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BST,random,find,0.00013829999988956843,0.00011389999963284936,0.00011369999992894009,0.00011379999978089472,0.00011439999980211724,0.00011881999980687397
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BST,random,delete,8.690000049682567e-05,6.450000000768341e-05,6.2199999774748e-05,6.209999992279336e-05,6.229999962670263e-05,6.759999996575061e-05
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LinkedList,sorted,insert,2.4411346000006233,2.36463619999995,2.2797248999995645,2.2860746000005747,2.2526011999998445,2.3248343000001115
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LinkedList,sorted,find,0.024703000000044995,0.02455259999987902,0.02468479999970441,0.02444869999999355,0.02606350000041857,0.02489052000000811
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LinkedList,sorted,delete,0.012835599999561964,0.027673999999933585,0.027570299999752024,0.02708100000018021,0.02999909999925876,0.02503199999973731
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HashTable,sorted,insert,0.011780100000578386,0.010850699999537028,0.010314100000869075,0.010621500000524975,0.011015500000212342,0.010916380000344362
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HashTable,sorted,find,0.0001464000006308197,0.00017980000029638177,0.00016909999976633117,0.00012620000052265823,0.00023630000032426324,0.0001715600003080908
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HashTable,sorted,delete,0.00016370000048482325,0.00018089999957737746,0.0001443999999537482,7.579999964946182e-05,6.469999971159268e-05,0.0001258999998754007
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BST,sorted,insert,3.5400651999998445,3.5145174999997835,3.5583661999999094,3.5149656000003233,3.481246600000304,3.521832220000033
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BST,sorted,find,0.03275260000009439,0.030442500000390282,0.02994349999971746,0.030269500000031258,0.030329999999594293,0.030747619999965538
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BST,sorted,delete,0.012705400000413647,0.01333390000036161,0.013192000000344706,0.013699000000087835,0.013079800000014075,0.013202020000244374
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@ -1,34 +0,0 @@
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Лабораторная работа 1
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Цель работы
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Нужно было сделать три структуры данных и проверить как они работают на телефонном справочнике.
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Ход работы
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Сделал связный список хеш таблицу и двоичное дерево поиска. Для всех структур сделал добавление поиск удаление и вывод записей. Для проверки создал 10000 записей с именами User\_00000 и т.д. Потом проверил работу со случайным порядком и с отсортированным порядком. Каждый эксперимент повторял 5 раз.
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Результаты
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Результаты сохранились в results.csv. Также сделал графики для добавления поиска и удаления. По результатам видно что связный список медленно ищет записи потому что нужно идти по элементам. Хеш таблица работает примерно одинаково при разном порядке записей. У двоичного дерева порядок записей влияет намного сильнее. Если добавлять записи по порядку дерево становится похожим на обычный список и работает медленнее.
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Вывод
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В работе я сделал три структуры данных и проверил их работу. Самой удобной для телефонного справочника получилась хеш таблица. Связный список проще но поиск медленный. Двоичное дерево может работать быстро но сильно зависит от порядка добавления данных.
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@ -1,185 +0,0 @@
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import random
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import time
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import csv
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import os
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from phonebook import *
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N = 10000
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REPEATS = 5
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def generate_test_data():
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records = [
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(f"User_{i:05d}", f"+7900000{i:04d}")
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for i in range(N)
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]
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records_shuffled = records.copy()
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random.shuffle(records_shuffled)
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records_sorted = records.copy()
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return records_shuffled, records_sorted
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def measure_experiment(insert_function, find_function, delete_function, records):
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insert_times = []
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find_times = []
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delete_times = []
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for _ in range(REPEATS):
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structure = None
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start = time.perf_counter()
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for name, phone in records:
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structure = insert_function(structure, name, phone)
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insert_times.append(time.perf_counter() - start)
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structure_for_find = structure
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names = [name for name, phone in records]
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search_names = random.sample(names, 100) + [
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"NotFound_001",
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"NotFound_002",
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"NotFound_003",
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"NotFound_004",
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"NotFound_005",
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"NotFound_006",
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"NotFound_007",
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"NotFound_008",
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"NotFound_009",
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"NotFound_010"
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]
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for _ in range(REPEATS):
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start = time.perf_counter()
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for name in search_names:
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find_function(structure_for_find, name)
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find_times.append(time.perf_counter() - start)
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delete_names = random.sample(names, 50)
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for _ in range(REPEATS):
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structure = structure_for_find
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start = time.perf_counter()
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for name in delete_names:
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structure = delete_function(structure, name)
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delete_times.append(time.perf_counter() - start)
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return insert_times, find_times, delete_times
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def measure_hash(records):
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insert_times = []
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find_times = []
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delete_times = []
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names = [name for name, phone in records]
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search_names = random.sample(names, 100) + [
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f"NotFound_{i:03d}" for i in range(10)
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]
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delete_names = random.sample(names, 50)
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for _ in range(REPEATS):
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buckets = ht_create()
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start = time.perf_counter()
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for name, phone in records:
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ht_insert(buckets, name, phone)
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insert_times.append(time.perf_counter() - start)
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structure_for_find = buckets
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for _ in range(REPEATS):
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start = time.perf_counter()
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for name in search_names:
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ht_find(structure_for_find, name)
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find_times.append(time.perf_counter() - start)
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for _ in range(REPEATS):
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buckets = structure_for_find.copy()
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start = time.perf_counter()
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for name in delete_names:
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ht_delete(buckets, name)
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delete_times.append(time.perf_counter() - start)
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return insert_times, find_times, delete_times
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def average(values):
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return sum(values) / len(values)
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def run():
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records_shuffled, records_sorted = generate_test_data()
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results = []
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for order_name, records in [
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("random", records_shuffled),
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("sorted", records_sorted)
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]:
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print("Order:", order_name)
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ll = measure_experiment(
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ll_insert,
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ll_find,
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ll_delete,
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records
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)
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results.append(["LinkedList", order_name, "insert", *ll[0]])
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results.append(["LinkedList", order_name, "find", *ll[1]])
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results.append(["LinkedList", order_name, "delete", *ll[2]])
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ht = measure_hash(records)
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results.append(["HashTable", order_name, "insert", *ht[0]])
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results.append(["HashTable", order_name, "find", *ht[1]])
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results.append(["HashTable", order_name, "delete", *ht[2]])
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bst = measure_experiment(
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bst_insert,
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bst_find,
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bst_delete,
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records
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)
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results.append(["BST", order_name, "insert", *bst[0]])
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results.append(["BST", order_name, "find", *bst[1]])
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results.append(["BST", order_name, "delete", *bst[2]])
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os.makedirs("docs/data", exist_ok=True)
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with open("docs/data/results.csv", "w", newline="", encoding="utf-8") as file:
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writer = csv.writer(file)
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writer.writerow([
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"structure",
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"order",
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"operation",
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"run1",
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"run2",
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"run3",
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"run4",
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"run5",
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"average"
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])
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for row in results:
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writer.writerow(row + [average(row[3:])])
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print("Results saved to docs/data/results.csv")
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if __name__ == "__main__":
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run()
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@ -1,56 +0,0 @@
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import csv
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import os
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import matplotlib.pyplot as plt
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data = []
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with open("docs/data/results.csv", "r", encoding="utf-8") as file:
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reader = csv.DictReader(file)
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for row in reader:
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data.append(row)
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def get_average(structure, order, operation):
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for row in data:
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if (
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row["structure"] == structure
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and row["order"] == order
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and row["operation"] == operation
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):
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return float(row["average"])
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return 0
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structures = ["LinkedList", "HashTable", "BST"]
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orders = ["random", "sorted"]
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os.makedirs("docs/data", exist_ok=True)
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for operation in ["insert", "find", "delete"]:
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random_values = [
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|
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get_average(s, "random", operation)
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for s in structures
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]
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|
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sorted_values = [
|
|
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get_average(s, "sorted", operation)
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for s in structures
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]
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|
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|
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x = range(len(structures))
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|
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|
|
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plt.figure()
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|
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plt.bar([i - 0.2 for i in x], random_values, width=0.4, label="random")
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|
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plt.bar([i + 0.2 for i in x], sorted_values, width=0.4, label="sorted")
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|
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|
|
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plt.xticks(list(x), structures)
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|
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plt.ylabel("Time, seconds")
|
|
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plt.title(operation.capitalize() + " time")
|
|
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plt.yscale("log")
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|
||||||
plt.legend()
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|
||||||
plt.tight_layout()
|
|
||||||
|
|
||||||
plt.savefig("docs/data/graph_" + operation + ".png")
|
|
||||||
plt.close()
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|
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|
|
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print("Graphs saved to docs/data/")
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|
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|
|
@ -1,211 +0,0 @@
|
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def ll_insert(head, name, phone):
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|
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new_node = {
|
|
||||||
'name': name,
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|
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'phone': phone,
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|
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'next': None
|
|
||||||
}
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|
||||||
|
|
||||||
if head is None:
|
|
||||||
return new_node
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|
||||||
|
|
||||||
current = head
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|
||||||
|
|
||||||
while current['next'] is not None:
|
|
||||||
if current['name'] == name:
|
|
||||||
current['phone'] = phone
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|
||||||
return head
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|
||||||
current = current['next']
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|
||||||
|
|
||||||
if current['name'] == name:
|
|
||||||
current['phone'] = phone
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|
||||||
else:
|
|
||||||
current['next'] = new_node
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|
||||||
|
|
||||||
return head
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|
||||||
|
|
||||||
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
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|
||||||
|
|
||||||
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
|
|
||||||
|
|
||||||
def hash_function(name, table_size):
|
|
||||||
total = 0
|
|
||||||
|
|
||||||
for ch in name:
|
|
||||||
total = (total * 31 + ord(ch)) % table_size
|
|
||||||
|
|
||||||
return total
|
|
||||||
|
|
||||||
def ht_create(size=1000):
|
|
||||||
return [None] * size
|
|
||||||
|
|
||||||
def ht_insert(buckets, name, phone):
|
|
||||||
index = hash_function(name, len(buckets))
|
|
||||||
buckets[index] = ll_insert(buckets[index], name, phone)
|
|
||||||
return buckets
|
|
||||||
|
|
||||||
def ht_find(buckets, name):
|
|
||||||
index = hash_function(name, len(buckets))
|
|
||||||
return ll_find(buckets[index], name)
|
|
||||||
|
|
||||||
def ht_delete(buckets, name):
|
|
||||||
index = hash_function(name, len(buckets))
|
|
||||||
buckets[index] = ll_delete(buckets[index], name)
|
|
||||||
return buckets
|
|
||||||
|
|
||||||
def ht_list_all(buckets):
|
|
||||||
records = []
|
|
||||||
|
|
||||||
for bucket in buckets:
|
|
||||||
current = bucket
|
|
||||||
|
|
||||||
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, 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']:
|
|
||||||
return current['phone']
|
|
||||||
|
|
||||||
if name < current['name']:
|
|
||||||
current = current['left']
|
|
||||||
else:
|
|
||||||
current = current['right']
|
|
||||||
|
|
||||||
return None
|
|
||||||
|
|
||||||
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:
|
|
||||||
child = current['right']
|
|
||||||
|
|
||||||
elif current['right'] is None:
|
|
||||||
child = current['left']
|
|
||||||
|
|
||||||
else:
|
|
||||||
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['left'] == successor:
|
|
||||||
successor_parent['left'] = successor['right']
|
|
||||||
else:
|
|
||||||
successor_parent['right'] = successor['right']
|
|
||||||
|
|
||||||
return root
|
|
||||||
|
|
||||||
if parent is None:
|
|
||||||
return child
|
|
||||||
|
|
||||||
if parent['left'] == current:
|
|
||||||
parent['left'] = child
|
|
||||||
else:
|
|
||||||
parent['right'] = child
|
|
||||||
|
|
||||||
return root
|
|
||||||
|
|
||||||
def bst_list_all(root):
|
|
||||||
records = []
|
|
||||||
|
|
||||||
def inorder(node):
|
|
||||||
if node is None:
|
|
||||||
return
|
|
||||||
|
|
||||||
inorder(node['left'])
|
|
||||||
records.append((node['name'], node['phone']))
|
|
||||||
inorder(node['right'])
|
|
||||||
|
|
||||||
inorder(root)
|
|
||||||
|
|
||||||
return records
|
|
||||||
|
Before Width: | Height: | Size: 15 KiB |
|
Before Width: | Height: | Size: 12 KiB |
|
Before Width: | Height: | Size: 15 KiB |
|
Before Width: | Height: | Size: 16 KiB |
|
|
@ -1,16 +0,0 @@
|
||||||
maze,strategy,time_ms,visited_cells,path_length
|
|
||||||
simple.txt,BFS,0.01464000015403144,11.0,6.0
|
|
||||||
simple.txt,DFS,0.010180000390391797,9.0,8.0
|
|
||||||
simple.txt,A*,0.017740000475896522,9.0,6.0
|
|
||||||
dead.txt,BFS,0.3642999996372964,307.0,35.0
|
|
||||||
dead.txt,DFS,0.23493999906349927,279.0,151.0
|
|
||||||
dead.txt,A*,0.38374000068870373,235.0,35.0
|
|
||||||
large.txt,BFS,23.894459999428364,6812.0,2329.0
|
|
||||||
large.txt,DFS,84.77875999960816,6796.0,4537.0
|
|
||||||
large.txt,A*,28.69542000044021,6791.0,2329.0
|
|
||||||
empty.txt,BFS,1.2770400004228577,1176.0,48.0
|
|
||||||
empty.txt,DFS,7.602279999264283,2304.0,1176.0
|
|
||||||
empty.txt,A*,0.10093999881064519,48.0,48.0
|
|
||||||
noexit.txt,BFS,0.003699999797390774,1.0,0.0
|
|
||||||
noexit.txt,DFS,0.0032000003557186574,1.0,0.0
|
|
||||||
noexit.txt,A*,0.004120000085094944,1.0,0.0
|
|
||||||
|
|
Before Width: | Height: | Size: 16 KiB |
|
|
@ -1,212 +0,0 @@
|
||||||
Лабораторная работа 2
|
|
||||||
|
|
||||||
Поиск выхода из лабиринта
|
|
||||||
|
|
||||||
Цель работы
|
|
||||||
-----------
|
|
||||||
Цель работы состоит в реализации программы для поиска выхода из лабиринта с использованием объектно ориентированного подхода и паттернов проектирования
|
|
||||||
|
|
||||||
В программе реализована загрузка лабиринта из файла несколько алгоритмов поиска и сравнение их работы
|
|
||||||
|
|
||||||
Структура программы
|
|
||||||
-------------------
|
|
||||||
В программе используются классы Cell для отдельной клетки лабиринта и Maze для самого лабиринта
|
|
||||||
|
|
||||||
Для загрузки используется MazeBuilder и его реализация TextFileMazeBuilder
|
|
||||||
|
|
||||||
Для поиска пути используется общий класс PathFindingStrategy и три алгоритма BFSStrategy DFSStrategy и AStarStrategy
|
|
||||||
|
|
||||||
За хранение результатов отвечает SearchStats а запуск поиска выполняет MazeSolver
|
|
||||||
|
|
||||||
Для вывода информации используются Observer и ConsoleView
|
|
||||||
|
|
||||||
Использованные паттерны
|
|
||||||
-----------------------
|
|
||||||
В работе использованы три паттерна Builder Strategy и Observer
|
|
||||||
|
|
||||||
Builder используется для загрузки лабиринта из текстового файла
|
|
||||||
|
|
||||||
TextFileMazeBuilder читает файл и создаёт объект Maze
|
|
||||||
|
|
||||||
В файле символ # обозначает стену пробел обозначает свободную клетку S является началом а E выходом
|
|
||||||
|
|
||||||
Использование Builder позволяет отдельно реализовать загрузку лабиринта и сам класс лабиринта
|
|
||||||
|
|
||||||
Strategy используется для выбора алгоритма поиска
|
|
||||||
|
|
||||||
В программе реализованы BFS DFS и A*
|
|
||||||
|
|
||||||
Все алгоритмы имеют общий интерфейс PathFindingStrategy поэтому в MazeSolver можно менять алгоритм без изменения самого решателя
|
|
||||||
|
|
||||||
Observer используется для вывода информации о поиске
|
|
||||||
|
|
||||||
MazeSolver отправляет события а ConsoleView получает их и выводит информацию в консоль
|
|
||||||
|
|
||||||
Таким образом вывод отделён от основной логики поиска
|
|
||||||
|
|
||||||
Алгоритмы поиска
|
|
||||||
----------------
|
|
||||||
BFS использует очередь и при обычных условиях находит кратчайший путь в лабиринте без весов
|
|
||||||
|
|
||||||
DFS использует стек и может найти путь быстрее но найденный путь не обязательно будет кратчайшим
|
|
||||||
|
|
||||||
A* использует очередь с приоритетом и манхэттенскую эвристику поэтому старается в первую очередь проверять клетки которые находятся ближе к выходу
|
|
||||||
|
|
||||||
Схема классов
|
|
||||||
-------------
|
|
||||||
classDiagram
|
|
||||||
|
|
||||||
class Cell {
|
|
||||||
x
|
|
||||||
y
|
|
||||||
is_wall
|
|
||||||
is_start
|
|
||||||
is_exit
|
|
||||||
is_passable()
|
|
||||||
}
|
|
||||||
|
|
||||||
class Maze {
|
|
||||||
width
|
|
||||||
height
|
|
||||||
cells
|
|
||||||
start
|
|
||||||
exit
|
|
||||||
get_cell()
|
|
||||||
get_neighbors()
|
|
||||||
}
|
|
||||||
|
|
||||||
class MazeBuilder {
|
|
||||||
build_from_file()
|
|
||||||
}
|
|
||||||
|
|
||||||
class TextFileMazeBuilder {
|
|
||||||
build_from_file()
|
|
||||||
}
|
|
||||||
|
|
||||||
class PathFindingStrategy {
|
|
||||||
find_path()
|
|
||||||
}
|
|
||||||
|
|
||||||
class BFSStrategy {
|
|
||||||
find_path()
|
|
||||||
}
|
|
||||||
|
|
||||||
class DFSStrategy {
|
|
||||||
find_path()
|
|
||||||
}
|
|
||||||
|
|
||||||
class AStarStrategy {
|
|
||||||
find_path()
|
|
||||||
}
|
|
||||||
|
|
||||||
class SearchStats {
|
|
||||||
path
|
|
||||||
time_ms
|
|
||||||
visited_count
|
|
||||||
path_length
|
|
||||||
}
|
|
||||||
|
|
||||||
class MazeSolver {
|
|
||||||
maze
|
|
||||||
strategy
|
|
||||||
set_strategy()
|
|
||||||
solve()
|
|
||||||
}
|
|
||||||
|
|
||||||
class Observer {
|
|
||||||
update()
|
|
||||||
}
|
|
||||||
|
|
||||||
class ConsoleView {
|
|
||||||
update()
|
|
||||||
}
|
|
||||||
|
|
||||||
MazeBuilder <|-- TextFileMazeBuilder
|
|
||||||
PathFindingStrategy <|-- BFSStrategy
|
|
||||||
PathFindingStrategy <|-- DFSStrategy
|
|
||||||
PathFindingStrategy <|-- AStarStrategy
|
|
||||||
Observer <|-- ConsoleView
|
|
||||||
MazeSolver --> Maze
|
|
||||||
MazeSolver --> PathFindingStrategy
|
|
||||||
MazeSolver --> Observer
|
|
||||||
Maze --> Cell
|
|
||||||
Тестирование
|
|
||||||
------------
|
|
||||||
Для проверки использовалось пять разных лабиринтов
|
|
||||||
|
|
||||||
simple.txt представляет простой лабиринт dead.txt содержит тупики large.txt является большим запутанным лабиринтом empty.txt не содержит стен а в noexit.txt выход недостижим
|
|
||||||
|
|
||||||
Каждый алгоритм запускался пять раз
|
|
||||||
|
|
||||||
Во время эксперимента измерялось время поиска количество посещённых клеток и длина найденного пути
|
|
||||||
|
|
||||||
Результаты сохранялись в файл results.csv
|
|
||||||
|
|
||||||
Результаты
|
|
||||||
----------
|
|
||||||
simple.txt
|
|
||||||
Алгоритм Время мс Посещено Путь
|
|
||||||
BFS 0.01464 11 6
|
|
||||||
DFS 0.01018 9 8
|
|
||||||
A* 0.01774 9 6
|
|
||||||
|
|
||||||
Все алгоритмы работают быстро
|
|
||||||
|
|
||||||
BFS и A* нашли более короткий путь чем DFS
|
|
||||||
|
|
||||||
dead.txt
|
|
||||||
Алгоритм Время мс Посещено Путь
|
|
||||||
BFS 0.36430 307 35
|
|
||||||
DFS 0.23494 279 151
|
|
||||||
A* 0.38374 235 35
|
|
||||||
|
|
||||||
DFS работал немного быстрее но нашёл более длинный путь
|
|
||||||
|
|
||||||
BFS и A* нашли короткий путь
|
|
||||||
|
|
||||||
large.txt
|
|
||||||
Алгоритм Время мс Посещено Путь
|
|
||||||
BFS 23.89446 6812 2329
|
|
||||||
DFS 84.77876 6796 4537
|
|
||||||
A* 28.69542 6791 2329
|
|
||||||
|
|
||||||
На большом лабиринте DFS показал худшее время и самый длинный путь
|
|
||||||
|
|
||||||
BFS и A* нашли одинаковый путь
|
|
||||||
|
|
||||||
empty.txt
|
|
||||||
Алгоритм Время мс Посещено Путь
|
|
||||||
BFS 1.277
|
|
||||||
|
|
||||||
|
|
||||||
04 1176 48
|
|
||||||
DFS 7.60228 2304 1176
|
|
||||||
A* 0.10094 48 48
|
|
||||||
|
|
||||||
В лабиринте без стен лучше всего показал себя A*
|
|
||||||
|
|
||||||
Он посетил меньше всего клеток и работал быстрее
|
|
||||||
|
|
||||||
noexit.txt
|
|
||||||
Алгоритм Время мс Посещено Путь
|
|
||||||
BFS 0.00370 1 0
|
|
||||||
DFS 0.00320 1 0
|
|
||||||
A* 0.00412 1 0
|
|
||||||
|
|
||||||
В этом лабиринте выход недостижим поэтому все алгоритмы быстро закончили поиск
|
|
||||||
|
|
||||||
Графики
|
|
||||||
-------
|
|
||||||
Для сравнения времени работы были построены графики для каждого лабиринта
|
|
||||||
|
|
||||||
Графики находятся в папке docs/data
|
|
||||||
|
|
||||||
simple_time.png dead_time.png large_time.png empty_time.png и noexit_time.png
|
|
||||||
|
|
||||||
Вывод
|
|
||||||
-----
|
|
||||||
В работе была создана программа для поиска выхода из лабиринта
|
|
||||||
|
|
||||||
Были реализованы BFS DFS и A* а также использованы паттерны Builder Strategy и Observer
|
|
||||||
|
|
||||||
По результатам эксперимента BFS хорошо подходит для поиска кратчайшего пути DFS может найти путь быстрее но он не всегда получается коротким A* хорошо показывает себя на больших и открытых лабиринтах
|
|
||||||
|
|
@ -1,93 +0,0 @@
|
||||||
import csv
|
|
||||||
import os
|
|
||||||
|
|
||||||
from maze_solver import (
|
|
||||||
TextFileMazeBuilder,
|
|
||||||
MazeSolver,
|
|
||||||
BFSStrategy,
|
|
||||||
DFSStrategy,
|
|
||||||
AStarStrategy
|
|
||||||
)
|
|
||||||
|
|
||||||
REPEATS = 5
|
|
||||||
|
|
||||||
MAZES = [
|
|
||||||
"simple.txt",
|
|
||||||
"dead.txt",
|
|
||||||
"large.txt",
|
|
||||||
"empty.txt",
|
|
||||||
"noexit.txt"
|
|
||||||
]
|
|
||||||
|
|
||||||
STRATEGIES = [
|
|
||||||
("BFS", BFSStrategy()),
|
|
||||||
("DFS", DFSStrategy()),
|
|
||||||
("A*", AStarStrategy())
|
|
||||||
]
|
|
||||||
|
|
||||||
def average(values):
|
|
||||||
return sum(values) / len(values)
|
|
||||||
|
|
||||||
def run():
|
|
||||||
builder = TextFileMazeBuilder()
|
|
||||||
results = []
|
|
||||||
|
|
||||||
for maze_name in MAZES:
|
|
||||||
filename = os.path.join("lab2", "mazes", maze_name)
|
|
||||||
|
|
||||||
print("Maze:", maze_name)
|
|
||||||
|
|
||||||
for strategy_name, strategy in STRATEGIES:
|
|
||||||
times = []
|
|
||||||
visited = []
|
|
||||||
path_lengths = []
|
|
||||||
|
|
||||||
for _ in range(REPEATS):
|
|
||||||
maze = builder.build_from_file(filename)
|
|
||||||
|
|
||||||
solver = MazeSolver(maze, strategy)
|
|
||||||
stats = solver.solve()
|
|
||||||
|
|
||||||
times.append(stats.time_ms)
|
|
||||||
visited.append(stats.visited_count)
|
|
||||||
path_lengths.append(stats.path_length)
|
|
||||||
|
|
||||||
results.append([
|
|
||||||
maze_name,
|
|
||||||
strategy_name,
|
|
||||||
average(times),
|
|
||||||
average(visited),
|
|
||||||
average(path_lengths)
|
|
||||||
])
|
|
||||||
|
|
||||||
print(
|
|
||||||
strategy_name,
|
|
||||||
"time =", average(times),
|
|
||||||
"visited =", average(visited),
|
|
||||||
"path =", average(path_lengths)
|
|
||||||
)
|
|
||||||
|
|
||||||
os.makedirs("lab2/docs/data", exist_ok=True)
|
|
||||||
|
|
||||||
with open(
|
|
||||||
"lab2/docs/data/results.csv",
|
|
||||||
"w",
|
|
||||||
newline="",
|
|
||||||
encoding="utf-8"
|
|
||||||
) as file:
|
|
||||||
writer = csv.writer(file)
|
|
||||||
|
|
||||||
writer.writerow([
|
|
||||||
"maze",
|
|
||||||
"strategy",
|
|
||||||
"time_ms",
|
|
||||||
"visited_cells",
|
|
||||||
"path_length"
|
|
||||||
])
|
|
||||||
|
|
||||||
writer.writerows(results)
|
|
||||||
|
|
||||||
print("Results saved to lab2/docs/data/results.csv")
|
|
||||||
|
|
||||||
if __name__ == "__main__":
|
|
||||||
run()
|
|
||||||
|
|
@ -1,23 +0,0 @@
|
||||||
import csv
|
|
||||||
import matplotlib.pyplot as plt
|
|
||||||
|
|
||||||
with open("lab2/docs/data/results.csv", encoding="utf-8") as file:
|
|
||||||
rows = list(csv.DictReader(file))
|
|
||||||
|
|
||||||
mazes = ["simple.txt", "dead.txt", "large.txt", "empty.txt", "noexit.txt"]
|
|
||||||
strategies = ["BFS", "DFS", "A*"]
|
|
||||||
|
|
||||||
for maze in mazes:
|
|
||||||
values = []
|
|
||||||
|
|
||||||
for strategy in strategies:
|
|
||||||
for row in rows:
|
|
||||||
if row["maze"] == maze and row["strategy"] == strategy:
|
|
||||||
values.append(float(row["time_ms"]))
|
|
||||||
|
|
||||||
plt.bar(strategies, values)
|
|
||||||
plt.title("Время поиска: " + maze)
|
|
||||||
plt.xlabel("Стратегия")
|
|
||||||
plt.ylabel("Время, мс")
|
|
||||||
plt.savefig("lab2/docs/data/" + maze.replace(".txt", "_time.png"))
|
|
||||||
plt.close()
|
|
||||||
|
|
@ -1,26 +0,0 @@
|
||||||
lines = []
|
|
||||||
|
|
||||||
for y in range(100):
|
|
||||||
row = [" "] * 100
|
|
||||||
|
|
||||||
if y == 0 or y == 99:
|
|
||||||
row = ["#"] * 100
|
|
||||||
else:
|
|
||||||
row[0] = "#"
|
|
||||||
row[99] = "#"
|
|
||||||
|
|
||||||
lines.append(row)
|
|
||||||
|
|
||||||
lines[1][1] = "S"
|
|
||||||
lines[98][98] = "E"
|
|
||||||
|
|
||||||
for x in range(4, 96, 4):
|
|
||||||
gap = 1 if (x // 4) % 2 == 0 else 98
|
|
||||||
|
|
||||||
for y in range(1, 99):
|
|
||||||
if y != gap:
|
|
||||||
lines[y][x] = "#"
|
|
||||||
|
|
||||||
with open("lab2/mazes/large.txt", "w", encoding="utf-8") as file:
|
|
||||||
for row in lines:
|
|
||||||
file.write("".join(row) + "\n")
|
|
||||||
|
|
@ -1,284 +0,0 @@
|
||||||
from abc import ABC, abstractmethod
|
|
||||||
from collections import deque
|
|
||||||
import heapq
|
|
||||||
import time
|
|
||||||
|
|
||||||
class Cell:
|
|
||||||
def __init__(self, x, y):
|
|
||||||
self.x = x
|
|
||||||
self.y = y
|
|
||||||
self.is_wall = False
|
|
||||||
self.is_start = False
|
|
||||||
self.is_exit = False
|
|
||||||
|
|
||||||
def is_passable(self):
|
|
||||||
return not self.is_wall
|
|
||||||
|
|
||||||
class Maze:
|
|
||||||
def __init__(self, width, height):
|
|
||||||
self.width = width
|
|
||||||
self.height = height
|
|
||||||
self.cells = []
|
|
||||||
self.start = None
|
|
||||||
self.exit = None
|
|
||||||
|
|
||||||
for y in range(height):
|
|
||||||
row = []
|
|
||||||
|
|
||||||
for x in range(width):
|
|
||||||
row.append(Cell(x, y))
|
|
||||||
|
|
||||||
self.cells.append(row)
|
|
||||||
|
|
||||||
def get_cell(self, x, y):
|
|
||||||
if 0 <= x < self.width and 0 <= y < self.height:
|
|
||||||
return self.cells[y][x]
|
|
||||||
|
|
||||||
return None
|
|
||||||
|
|
||||||
def get_neighbors(self, cell):
|
|
||||||
neighbors = []
|
|
||||||
|
|
||||||
directions = [
|
|
||||||
(0, -1),
|
|
||||||
(0, 1),
|
|
||||||
(-1, 0),
|
|
||||||
(1, 0)
|
|
||||||
]
|
|
||||||
|
|
||||||
for dx, dy in directions:
|
|
||||||
neighbor = self.get_cell(
|
|
||||||
cell.x + dx,
|
|
||||||
cell.y + dy
|
|
||||||
)
|
|
||||||
|
|
||||||
if neighbor and neighbor.is_passable():
|
|
||||||
neighbors.append(neighbor)
|
|
||||||
|
|
||||||
return neighbors
|
|
||||||
|
|
||||||
class MazeBuilder(ABC):
|
|
||||||
@abstractmethod
|
|
||||||
def build_from_file(self, filename):
|
|
||||||
pass
|
|
||||||
|
|
||||||
class TextFileMazeBuilder(MazeBuilder):
|
|
||||||
def build_from_file(self, filename):
|
|
||||||
with open(filename, "r", encoding="utf-8") as file:
|
|
||||||
lines = [line.rstrip("\n") for line in file]
|
|
||||||
|
|
||||||
if not lines:
|
|
||||||
raise ValueError("Файл лабиринта пустой")
|
|
||||||
|
|
||||||
width = len(lines[0])
|
|
||||||
|
|
||||||
for line in lines:
|
|
||||||
if len(line) != width:
|
|
||||||
raise ValueError("Строки лабиринта имеют разную длину")
|
|
||||||
|
|
||||||
maze = Maze(width, len(lines))
|
|
||||||
|
|
||||||
for y, line in enumerate(lines):
|
|
||||||
for x, symbol in enumerate(line):
|
|
||||||
cell = maze.get_cell(x, y)
|
|
||||||
|
|
||||||
if symbol == "#":
|
|
||||||
cell.is_wall = True
|
|
||||||
|
|
||||||
elif symbol == "S":
|
|
||||||
if maze.start is not None:
|
|
||||||
raise ValueError("В лабиринте несколько стартов")
|
|
||||||
|
|
||||||
maze.start = cell
|
|
||||||
cell.is_start = True
|
|
||||||
|
|
||||||
elif symbol == "E":
|
|
||||||
if maze.exit is not None:
|
|
||||||
raise ValueError("В лабиринте несколько выходов")
|
|
||||||
|
|
||||||
maze.exit = cell
|
|
||||||
cell.is_exit = True
|
|
||||||
|
|
||||||
elif symbol == " ":
|
|
||||||
pass
|
|
||||||
|
|
||||||
else:
|
|
||||||
raise ValueError("Неизвестный символ в лабиринте")
|
|
||||||
|
|
||||||
if maze.start is None:
|
|
||||||
raise ValueError("В лабиринте нет старта")
|
|
||||||
|
|
||||||
if maze.exit is None:
|
|
||||||
raise ValueError("В лабиринте нет выхода")
|
|
||||||
|
|
||||||
return maze
|
|
||||||
|
|
||||||
class PathFindingStrategy(ABC):
|
|
||||||
@abstractmethod
|
|
||||||
def find_path(self, maze, start, exit):
|
|
||||||
pass
|
|
||||||
|
|
||||||
class BFSStrategy(PathFindingStrategy):
|
|
||||||
def find_path(self, maze, start, exit):
|
|
||||||
if start is None or exit is None:
|
|
||||||
return [], 0
|
|
||||||
|
|
||||||
queue = deque([(start, [start])])
|
|
||||||
visited = {start}
|
|
||||||
|
|
||||||
while queue:
|
|
||||||
current, path = queue.popleft()
|
|
||||||
|
|
||||||
if current == exit:
|
|
||||||
return path, len(visited)
|
|
||||||
|
|
||||||
for neighbor in maze.get_neighbors(current):
|
|
||||||
if neighbor not in visited:
|
|
||||||
visited.add(neighbor)
|
|
||||||
queue.append((neighbor, path + [neighbor]))
|
|
||||||
|
|
||||||
return [], len(visited)
|
|
||||||
|
|
||||||
class DFSStrategy(PathFindingStrategy):
|
|
||||||
def find_path(self, maze, start, exit):
|
|
||||||
if start is None or exit is None:
|
|
||||||
return [], 0
|
|
||||||
|
|
||||||
stack = [(start, [start])]
|
|
||||||
visited = {start}
|
|
||||||
|
|
||||||
while stack:
|
|
||||||
current, path = stack.pop()
|
|
||||||
|
|
||||||
if current == exit:
|
|
||||||
return path, len(visited)
|
|
||||||
|
|
||||||
for neighbor in maze.get_neighbors(current):
|
|
||||||
if neighbor not in visited:
|
|
||||||
visited.add(neighbor)
|
|
||||||
stack.append((neighbor, path + [neighbor]))
|
|
||||||
|
|
||||||
return [], len(visited)
|
|
||||||
|
|
||||||
class AStarStrategy(PathFindingStrategy):
|
|
||||||
def heuristic(self, a, b):
|
|
||||||
return abs(a.x - b.x) + abs(a.y - b.y)
|
|
||||||
|
|
||||||
def find_path(self, maze, start, exit):
|
|
||||||
if start is None or exit is None:
|
|
||||||
return [], 0
|
|
||||||
|
|
||||||
heap = []
|
|
||||||
counter = 0
|
|
||||||
|
|
||||||
heapq.heappush(
|
|
||||||
heap,
|
|
||||||
(self.heuristic(start, exit), counter, start, [start])
|
|
||||||
)
|
|
||||||
|
|
||||||
g_score = {start: 0}
|
|
||||||
visited = set()
|
|
||||||
|
|
||||||
while heap:
|
|
||||||
_, _, current, path = heapq.heappop(heap)
|
|
||||||
|
|
||||||
if current in visited:
|
|
||||||
continue
|
|
||||||
|
|
||||||
visited.add(current)
|
|
||||||
|
|
||||||
if current == exit:
|
|
||||||
return path, len(visited)
|
|
||||||
|
|
||||||
for neighbor in maze.get_neighbors(current):
|
|
||||||
new_cost = g_score[current] + 1
|
|
||||||
|
|
||||||
if neighbor not in g_score or new_cost < g_score[neighbor]:
|
|
||||||
g_score[neighbor] = new_cost
|
|
||||||
counter += 1
|
|
||||||
|
|
||||||
priority = new_cost + self.heuristic(
|
|
||||||
neighbor,
|
|
||||||
exit
|
|
||||||
)
|
|
||||||
|
|
||||||
heapq.heappush(
|
|
||||||
heap,
|
|
||||||
(
|
|
||||||
priority,
|
|
||||||
counter,
|
|
||||||
neighbor,
|
|
||||||
path + [neighbor]
|
|
||||||
)
|
|
||||||
)
|
|
||||||
|
|
||||||
return [], len(visited)
|
|
||||||
|
|
||||||
class SearchStats:
|
|
||||||
def __init__(self, path, time_ms, visited_count):
|
|
||||||
self.path = path
|
|
||||||
self.time_ms = time_ms
|
|
||||||
self.visited_count = visited_count
|
|
||||||
self.path_length = len(path) if path else 0
|
|
||||||
|
|
||||||
class MazeSolver:
|
|
||||||
def __init__(self, maze, strategy=None):
|
|
||||||
self.maze = maze
|
|
||||||
self.strategy = strategy
|
|
||||||
self.observers = []
|
|
||||||
|
|
||||||
def attach(self, observer):
|
|
||||||
self.observers.append(observer)
|
|
||||||
|
|
||||||
def detach(self, observer):
|
|
||||||
self.observers.remove(observer)
|
|
||||||
|
|
||||||
def notify(self, event, data=None):
|
|
||||||
for observer in self.observers:
|
|
||||||
observer.update(event, data)
|
|
||||||
|
|
||||||
def set_strategy(self, strategy):
|
|
||||||
self.strategy = strategy
|
|
||||||
|
|
||||||
def solve(self):
|
|
||||||
if self.strategy is None:
|
|
||||||
raise ValueError("Стратегия не установлена")
|
|
||||||
|
|
||||||
self.notify("search_started")
|
|
||||||
|
|
||||||
start_time = time.perf_counter()
|
|
||||||
|
|
||||||
path, visited_count = self.strategy.find_path(
|
|
||||||
self.maze,
|
|
||||||
self.maze.start,
|
|
||||||
self.maze.exit
|
|
||||||
)
|
|
||||||
|
|
||||||
end_time = time.perf_counter()
|
|
||||||
|
|
||||||
time_ms = (end_time - start_time) * 1000
|
|
||||||
|
|
||||||
self.notify("search_finished", time_ms)
|
|
||||||
self.notify("path_found", path)
|
|
||||||
|
|
||||||
return SearchStats(
|
|
||||||
path,
|
|
||||||
time_ms,
|
|
||||||
visited_count
|
|
||||||
)
|
|
||||||
|
|
||||||
class Observer(ABC):
|
|
||||||
@abstractmethod
|
|
||||||
def update(self, event, data=None):
|
|
||||||
pass
|
|
||||||
|
|
||||||
class ConsoleView(Observer):
|
|
||||||
def update(self, event, data=None):
|
|
||||||
if event == "search_started":
|
|
||||||
print("Поиск начат")
|
|
||||||
|
|
||||||
elif event == "search_finished":
|
|
||||||
print(f"Поиск завершен за {data:.3f} мс")
|
|
||||||
|
|
||||||
elif event == "path_found":
|
|
||||||
print(f"Длина пути: {len(data)}")
|
|
||||||
|
|
@ -1,20 +0,0 @@
|
||||||
####################
|
|
||||||
#S #
|
|
||||||
# #
|
|
||||||
# #
|
|
||||||
# #
|
|
||||||
# #
|
|
||||||
# ######### #
|
|
||||||
# # #
|
|
||||||
# # #
|
|
||||||
# # #
|
|
||||||
# # #
|
|
||||||
# # #
|
|
||||||
# # #
|
|
||||||
# # #
|
|
||||||
# # #
|
|
||||||
# #
|
|
||||||
# #
|
|
||||||
# #
|
|
||||||
# E#
|
|
||||||
####################
|
|
||||||
|
|
@ -1,50 +0,0 @@
|
||||||
##################################################
|
|
||||||
#S #
|
|
||||||
# #
|
|
||||||
# #
|
|
||||||
# #
|
|
||||||
# #
|
|
||||||
# #
|
|
||||||
# #
|
|
||||||
# #
|
|
||||||
# #
|
|
||||||
# #
|
|
||||||
# #
|
|
||||||
# #
|
|
||||||
# #
|
|
||||||
# #
|
|
||||||
# #
|
|
||||||
# #
|
|
||||||
# #
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