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Function: require_once
수학동아 - 폴리매스
함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
△π
2020.04.19 03:47
조회 645
삼각파이의 <개미수열>의 2번 문제를 참고하자.
이 문제와 같은 방식으로 두 번 이상 시행했을 때, 2n자리의 수열의 항을 구했을 때, 1?2?3?4?5?6?...n?꼴로 나온다.
(1)어떤 항이 n개 반복될 때, 이를 n-cycle이라 하자.(예를 들어, 4개의 항이 반복되면 이는 4-cycle이다.)
12자리의 수열중 2-cycle을 찾아라.
(2)2n자리 수열중 k-cycle이 있을 때, k의 최댓값을 f(n)이라 하자. f(n) 사이의 관계식을 구하여라.
(풀이 없으면 다시도전 아시죠? 제 문제 모두에 적용됩니다^^)
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