Задание по Математическим основам защиты информации. Алгоритм Евклида.
Тема - Алгоритм Евклида.
Задания.
1. Найти d - наибольший общий делитель чисел a, b, решить уравнение au + bv = d, решить уравнение as + bt = c,
Для примеров 1 и 2 привести все шаги алгоритма, для примера 3 можно привести только 5 первых и 5 последних шагов.
2. Разработать программу и провести численный эксперимент для исследования временной сложности алгоритма. Привести результаты эксперимента для примеров. Привести псевдокод выбранного алгоритма.
3. Привести теоретический материал по вычислению временной сложности для трех-ленточной машины Тьюринга.
Примеры 1, 2 и 3 - в прикрепленном файле.
Пример выполнения работы - тоже в прикрепленном файле.
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