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Function: require_once

수학동아 - 폴리매스
본문바로가기
함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
[창의 퍼즐] [게임이론] 구슬
원파 2020.10.22 09:02 조회 593

 

 

 

 

제 문제들에 한해서는 특별한 말이 없을 경우 어떤 문제든 반드시 풀이를 써야 함을 알립니다.

 

 

 

 

원형과 파이 앞에는 한 무더기의 구슬이 있다.

눈대중으로 보았을 때 1000개는 안되어 보인다.

둘은 번갈아 가면서 구슬을 몇 개씩 가져간다.

단 반드시 원형이 먼저 가져가야 한다.

왜냐하면 원형이 파이보다 사전순으로 우선이기 때문이다.

구슬은 1개나 3개 혹은 4개를 가져갈 수 있다.

한 번에 5개를 가져가기에는 너무 많은데다가 2개는 왠지 허전해서다.

만약 자신의 차례에 가져갈 구슬이 없으면 진다.

원형이가 지는 경우, 구슬은 최대 몇 개가 될 수 있을까?

파이가 지는 경우엔 구슬은 최대 몇 개가 될 수 있을까?

(단, 원형과 파이 모두 가장 자신이 이기기에 효율적인 방식을 택하여 선택할 돌의 개수를 정한다.)

이 문제 어떠셨나요?

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