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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] 직사각형 캔버스의 일반화
원파 2021.01.31 09:07 조회 426
문제 푼 사람 0명
공유하기
페이스북 트위터 카카오톡 카카오스토리 네이버블로그 네이버밴드

원형파이는 어떤 n*m 픽셀의 캔버스를 알록달록하게 칠하려고 한다.

사용 가능한 색은 c가지이다. 또, 브러시는 한 번에 k*k 픽셀의 부분을 칠한다.

브러시에 여러 색을 묻혀 사용하는 것은 불가능하다. 덮어쓰면 나중에 쓴 브러시의 색으로 변경된다.

그렇다면 만들 수 있는 서로 다른 캔버스의 가짓수는?

이 문제 어떠셨나요?

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  •  
    원파 Lv.9 2021.01.31 09:11

    [맛있는 부분문제, 부분문제를 모두 맞으면 해결로 인정]

    (1) n=m=1

    (2) n*m≤4

    (3) c=1

    (4) n*m=c

    (5) n=m

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  •  
    jane Lv.8 2021.03.16 23:33

    삭제 부탁드립니다.(문제가 2개여서)

    댓글 작성하기 좋아요0 댓글수1
    •  
      원파 Lv.9 2021.03.17 00:36

      두 문제 서로 다릅니다 ㅎㅎ

      좋아요0
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