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수학동아 - 폴리매스
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함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
[창의 퍼즐] 어려운 문제 4
muse 2019.11.17 07:37 조회 644
문제 푼 사람 0명
공유하기
페이스북 트위터 카카오톡 카카오스토리 네이버블로그 네이버밴드

어려운 문제는 계속됩니다! (하나라도 풀어주세요 ㅠㅠ)

F_n = \overline{1234567891011121314...n}이라고 정의하자. (예를 들어 F_{20}=1234567891011121314151617181920이다)

가로가 F_{12}칸, 세로가 4칸인 직사각형을 아래와 같은 T모양 블록으로 채우는 방법은 몇 가지일까?

답이 너무 커질 수 있으니 10^9+7로 나눈 나머지를 구해 보자. (돌리거나 뒤집어서 같은 것도 따로 센다)

이 문제 어떠셨나요?

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  •  
    리프 Lv.7 2019.11.18 07:28

    t모양의 타일이 테트로미노인가요 아니면 펜토미노인가요?

    댓글 작성하기 좋아요0 댓글수1
    •  
      muse Lv.6 2019.11.18 07:36

      테트로미노입니다.

      좋아요0
  •  
    muse Lv.6 2019.11.18 07:37

    원래 이 문제는 난이도가 훨씬 어려웠는데 그러면 정말 아무도 못 풀 것 같아 일단 이대로 두기로 했습니다.

    댓글 작성하기 좋아요0 댓글수0
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