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glockblock12
@glockblock12
July 2022
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1,2,3,5,7,11,12,14,17,20 найдите все тройки чисел сумма которых делится на 4
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Максим757
1, 2, 3, 5, 7, 11, 12, 14, 17, 20.
Запишем вместо чисел их остатки от деления на 4:
1, 2, 3, 5, 7, 11, 12, 14, 17, 20.
1, 2, 3, 1, 3, 3, 0, 2, 1, 0.
Чтобы сумма чисел делилась на 4, нужно, чтобы сумма остатков делилась на 4.
Это остатки:
1) 0, 1, 3.
2) 0, 2, 2.
3) 1, 1, 2.
4) 2, 3, 3.
1) Числа:
12, 1, 3.
12, 1, 7.
12, 1, 11.
12, 5, 3.
12, 5, 7.
12, 5, 11.
12, 17, 3
12, 17, 7.
12, 17, 11.
20, 1, 3.
20, 1, 7.
20, 1, 11.
20, 5, 3.
20, 5, 7.
20, 5, 11.
20, 17, 3.
20, 17, 7.
20, 17, 11.
2) Числа:
12, 2, 14.
20, 2, 14.
3) Числа:
1, 5, 2.
1, 5, 14.
1, 17, 2.
1, 17, 14.
5, 17, 2.
5, 17, 14.
4) Числа:
2, 3, 7.
2, 3, 11.
2, 7, 11.
14, 3, 7.
14, 3, 11.
14, 7, 11.
Ответ:
12, 1, 3.
12, 1, 7.
12, 1, 11.
12, 5, 3.
12, 5, 7.
12, 5, 11.
12, 17, 3
12, 17, 7.
12, 17, 11.
20, 1, 3.
20, 1, 7.
20, 1, 11.
20, 5, 3.
20, 5, 7.
20, 5, 11.
20, 17, 3.
20, 17, 7.
20, 17, 11.
12, 2, 14.
20, 2, 14.
1, 5, 2.
1, 5, 14.
1, 17, 2.
1, 17, 14.
5, 17, 2.
5, 17, 14.
2, 3, 7.
2, 3, 11.
2, 7, 11.
14, 3, 7.
14, 3, 11.
14, 7, 11.
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Answers & Comments
Запишем вместо чисел их остатки от деления на 4:
1, 2, 3, 5, 7, 11, 12, 14, 17, 20.
1, 2, 3, 1, 3, 3, 0, 2, 1, 0.
Чтобы сумма чисел делилась на 4, нужно, чтобы сумма остатков делилась на 4.
Это остатки:
1) 0, 1, 3.
2) 0, 2, 2.
3) 1, 1, 2.
4) 2, 3, 3.
1) Числа:
12, 1, 3.
12, 1, 7.
12, 1, 11.
12, 5, 3.
12, 5, 7.
12, 5, 11.
12, 17, 3
12, 17, 7.
12, 17, 11.
20, 1, 3.
20, 1, 7.
20, 1, 11.
20, 5, 3.
20, 5, 7.
20, 5, 11.
20, 17, 3.
20, 17, 7.
20, 17, 11.
2) Числа:
12, 2, 14.
20, 2, 14.
3) Числа:
1, 5, 2.
1, 5, 14.
1, 17, 2.
1, 17, 14.
5, 17, 2.
5, 17, 14.
4) Числа:
2, 3, 7.
2, 3, 11.
2, 7, 11.
14, 3, 7.
14, 3, 11.
14, 7, 11.
Ответ:
12, 1, 3.
12, 1, 7.
12, 1, 11.
12, 5, 3.
12, 5, 7.
12, 5, 11.
12, 17, 3
12, 17, 7.
12, 17, 11.
20, 1, 3.
20, 1, 7.
20, 1, 11.
20, 5, 3.
20, 5, 7.
20, 5, 11.
20, 17, 3.
20, 17, 7.
20, 17, 11.
12, 2, 14.
20, 2, 14.
1, 5, 2.
1, 5, 14.
1, 17, 2.
1, 17, 14.
5, 17, 2.
5, 17, 14.
2, 3, 7.
2, 3, 11.
2, 7, 11.
14, 3, 7.
14, 3, 11.
14, 7, 11.