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Function: driver
File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Cacher.php
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Function: initiateCache
File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
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File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
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File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
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File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
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Function: _error_handler
File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
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Function: model
File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
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Function: getFloatingMyInfo
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Line: 559
Function: get_footer
File: /volume1/web/PhpstormProjects/www_polymath_co_kr/index.php
Line: 315
Function: require_once
수학동아 - 폴리매스
함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
muse
2019.11.02 19:47
조회 492
갑과 을은 변형된 님 게임을 하고 있다. 갑과 을은 번갈아가며 한 개의 돌 무더기에서 돌을 몇 개씩 가져간다. 갑이 선이며, 규칙은 다음과 같다.
1. 맨 처음에는 1개의 돌만을 가져갈 수 있다.
2. 다음 사람은 전 사람이 가져간 돌의 개수를 k라 할 때, 최소 1개에서 최대 (k+1)개까지의 돌을 가져갈 수 있다.
3. 마지막 돌을 가져가는 사람이 이긴다.
최초 상태에서 돌무더기에 있는 돌의 개수를 N이라 하자. 갑과 을이 모두 최선을 다한다고 할 때, 갑이 이길 N의 조건은 무엇인가?
이 문제를 푸는 방법에는 여러 가지 방법이 있을 수 있습니다.
먼저 컴퓨터 프로그램을 이용하여 규칙을 찾아낸 뒤, 이를 수학적으로 증명해 보는 것을 추천합니다.
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muse님이 정말 오랜만에 문제를 올리셨네요.
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muse
Lv.6
2019.11.02 19:51
네, 이 사이트에 정말 오랜만에 들어와 봤습니다.
좋아요0
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muse
Lv.6
2019.11.02 19:56
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muse
Lv.6
2019.11.02 21:23
좋아요0
지금 바로
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