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Function: require_once
수학동아 - 폴리매스
함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
원파
2021.03.05 08:55
조회 456
초기 파레트에는 하얀 물감이 있어요.
가중치는 1이에요.
친구 셋이서 아래 게임을 반복해요.
1. 자기 순서가 오면 새로운 색의 물감을 꺼내요.
2. 현재 파레트에 있는 서로 다른 색의 물감을 세고, x라고 해요.
3-1. 이 때 x개의 물감에 새로운 색 물감을 섞어서 x개의 새 물감을 얻을 수도 있어요.
3-2. 아니면, 새로운 색 물감을 그저 옆에 조금 짜서 x+1개의 물감을 얻을 수도 있어요.
4-1. 3-1을 따랐다면 모든 물감의 가중치가 2배 감소해요.
4-2. 3-2를 따랐다면 모든 물감의 가중치가 2/3이 되고, 새로 짠 물감은 가중치가 1이 돼요.
5. 가중치가 0.125 미만이 되면 물감이 너무 어두워져서 쓸 수 없어요. 버려야 해요.
6. 지금 나의 순서보다 3번 이하 전이었던 친구의 선택 중 3-2가 있었다면 나는 3-1을 따라야 해요.
내 차례가 왔을 때 파레트에 물감이 하나도 없다면 나는 져요.
그렇다면 이 파레트 게임에서 처음 순서인 친구의 필승 전략이 있을까요?
있다면 그를 쓰고 없다면 없다고 생각한 이유를 간략하게 써주세요.
이 때 쓰셔야 하는 풀이의 양은 압력 넣지 않을게요.
양심껏 출제자가 채점할 수 있는 정도의 풀이과정을 써주세요.
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프사 위에만 살짝 보고 space님이 돌아오신 줄 알았더니 아니었군요...
지금 바로
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