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Function: driver
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File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
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Function: get_footer
File: /volume1/web/PhpstormProjects/www_polymath_co_kr/index.php
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Function: require_once
수학동아 - 폴리매스
함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
A와 B가 n-게임을 한다.
선공은 A로 시작하고, A와 B는 서로 번갈아가며 1~9중 1개의 수를 부르고, 이것을 3번 반복한다.
그리고 A와 B가 부른 수들로 6자리 수 X를 만든다.
예를들면, A와 B가 번갈아가며 1, 5, 6, 3, 9, 7을 불렀다면, X는 156397이 된다.
이때, X가 n의 배수가 되면 B의 승리, X가 n의 배수가 아니라면 A의 승리가 된다.
2~9까지의 자연수 n에 대해 다음 물음에 답해보자.
(1) B에게 필승전략이 존재하는 n이 있을까? 있다면 그 예시를 2개 이상 설명해보고, 없다면 그 이유를 설명해보자.
(2) A에게 필승전략이 존재하는 n이 있을까?
모든 문제는 풀이필수이며, 소문제 1개당 해결 1개 드립니다.
-
△π
Lv.9
2020.04.20 17:26
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