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Консультация № 190571
19.02.2017, 02:16
0.00 руб.
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
автомат получает на вход трехзначное десятичное число. По полученному числу строится новое десятичное число по следующим правилам.
1. Вычисляются два числа - сумма старшего и младшего разрядов, а также произведение среднего разряда на число 3.
2. Полученные два числа записываются друг за другом в порядке невозростания(без разделителей).
Определите, сколько из приведенных ниже чисел могут получится в результате работы автомата.
21 73 94 729 129 1514 2718 2912
В ответе запишите только количество чисел
объясните пожалуйста как решить эту задачу
автомат получает на вход трехзначное десятичное число. По полученному числу строится новое десятичное число по следующим правилам.
1. Вычисляются два числа - сумма старшего и младшего разрядов, а также произведение среднего разряда на число 3.
2. Полученные два числа записываются друг за другом в порядке невозростания(без разделителей).
Определите, сколько из приведенных ниже чисел могут получится в результате работы автомата.
21 73 94 729 129 1514 2718 2912
В ответе запишите только количество чисел
объясните пожалуйста как решить эту задачу
Обсуждение
19.02.2017, 10:24
общий
это ответ
Здравствуйте, buba67!
21 не может получиться, т. к. ни 2 ни 1 не могут быть произведением среднего разряда на 3.
73 может из 512, например.
94 может из 232, например.
729 не может получиться, т. к. это числа 72 и 9, что следует из Правила 2, а 72 не может получиться ни умножением числа меньшего 10 на 3, ни сложением двух таких чисел.
129 может из 537, например.
1514 может из 559, например.
2718 может из 999.
2912 не может получиться, т. к. 29 не может получиться ни умножением целого числа на 3, ни сложением двух чисел меньших 10.
Таким образом, ответ - 5.
21 не может получиться, т. к. ни 2 ни 1 не могут быть произведением среднего разряда на 3.
73 может из 512, например.
94 может из 232, например.
729 не может получиться, т. к. это числа 72 и 9, что следует из Правила 2, а 72 не может получиться ни умножением числа меньшего 10 на 3, ни сложением двух таких чисел.
129 может из 537, например.
1514 может из 559, например.
2718 может из 999.
2912 не может получиться, т. к. 29 не может получиться ни умножением целого числа на 3, ни сложением двух чисел меньших 10.
Таким образом, ответ - 5.
5
Об авторе:
Болтовня ничего не стоит. Покажите мне код. (c) Linus Torvalds
Болтовня ничего не стоит. Покажите мне код. (c) Linus Torvalds
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