(1)여섯자리 수 ABCDEF가 있다. 이들에 1,2,3,4,5,6을 곱하면 각각의 수가 순서를 바꿔가며 나온다. ABCDEF를 구하여라.
(순환소수 이런 풀이 말고 정석적인 풀이 구해주세요. 아예 이 자리 숫자는 왜 이거고... 이런 식으로 풀어달라는 겁니다.)
(2)n자리 수가 있다. 이 수에 1부터 6까지 곱했을 때 각각의 수가 순서를 바꿔가며 나온다고 한다.(1번 문제의 답처럼 결국에는 처음 수와 똑같은 배열을 하고 있어야 합니다. 다시 말하자면, 원순열로 봤을 때 동일한 배열이어야 합니다.) n이 무한히 커진다면 이를 증명하고, 그렇지 않다면 최댓값을 구하여라.
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