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수학동아 - 폴리매스
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[잡담] [I'm possible 폴리매스 체험판] 가장 큰 수의 증명
은총알 2020.02.12 08:54 조회 764

똑같은 수가 여러 개 있을 때, 이 사이에 사칙연산이나 거듭제곱 같이 기호들을 넣어서 계산할 때, 가장 큰 수는 어떤 것이고 왜 그렇게 되는지 증명하는 겁니다!

어떤가요?

지나가던 사람님의 제안으로 만들어진 소문제 1) 똑같은 수가 여러 개 있을 때, 이 사이에 사칙연산 기호들만을 넣어서 계산할 때, 가장 큰 수는 어떻게 만들고 왜 그렇게 되는지 증명합시다!!

 

참고 : 똑같은 수를 4라고 한다면 44는 못 만드는 것입니다!!

 

  •  
    로보카폴리 Lv.11 2020.02.12 09:58

    거듭제곱이나 펙토리얼이 아닐까요? 근데 펙토리얼과 거듭제곱중 뭐가 더 클진 고민해 보아야 하겠군요..

    댓글 작성하기 좋아요0 댓글수1
    •  
      은총알 Lv.11 2020.02.13 08:00

      참고로 거듭제곱은 똑같은 수를 n이라고 하면 n의 n제곱인 겁니다!!

      좋아요0
  •  
    Abiria♡ Lv.8 2020.02.13 07:50

    일단 사칙연산만 들어간 소문제를 만들어 그것을 풀어 보는 것이 낫겠습니다.

    댓글 작성하기 좋아요0 댓글수0
  •  
    Abiria♡ Lv.8 2020.02.13 07:51

    그리고 원래 문제에서 괄호를 써도 되나요?

    댓글 작성하기 좋아요0 댓글수1
    •  
      은총알 Lv.11 2020.02.13 07:59

      네 됩니다 중괄호 대괄호도 이용 가능합니다 참고로 이 문제는 저도 답을 모릅니다

       

      좋아요0
  •  
    21세기오일러 Lv.11 2020.02.15 05:34

    1번은 간단합니다. 타워를 쓰면 됩니다.

    댓글 작성하기 좋아요0 댓글수0
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