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수학동아 - 폴리매스
함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
muse
2020.06.18 21:09
조회 790
성냥개비로 숫자를 표현할 때 필요한 성냥개비의 개수는 아래와 같다.
| 0 |
6개 |
| 1 |
2개 |
| 2 |
5개 |
| 3 |
5개 |
| 4 |
4개 |
| 5 |
5개 |
| 6 |
6개 |
| 7 |
4개 |
| 8 |
7개 |
| 9 |
6개 |
어떤 수를 표현하는 방법에는 크게 두 가지가 있는데, 직접 쓰는 방법(방법 A)와 계산식의 결과로 표현하는 방법(방법 B)가 있다.
이때 계산식에서 사용 가능한 연산 기호는 + (성냥2개), - (성냥 1개), * (성냥 2개)로 제한하자.
방법 A보다 방법 B로 표현했을 때 더 적은 성냥개비가 필요한 수가 있을까? 있다면 실례를 들고, 없다면 증명해 보자.
만약 있다면, 그러한 가장 작은 수를 찾아보자.
-
muse
Lv.6
2020.06.18 21:10
제가 찾은 최소는 12321 = 111*111입니다.
-
원파
Lv.9
2020.06.19 02:07
비밀댓글
비밀 댓글이 등록 되었습니다!
-
전자기역학
Lv.8
2020.06.18 21:20
비밀댓글
비밀 댓글이 등록 되었습니다.
-
muse
Lv.6
2020.06.28 09:00
일단 자연수로 한정하겠습니다. 조건이 부족했던 점 죄송합니다.
좋아요0
-
원파
Lv.9
2020.06.18 21:34
저 대표이미지는... ㄷㄷㄷㄷ
boj 어느 문제아닌가요?
제목은 기억이 안나네요 ㅌㅌ
-
원파
Lv.9
2020.06.18 21:45
비밀댓글
비밀 댓글이 등록 되었습니다.
-
원파
Lv.9
2020.06.18 22:00
이건 그냥 무시해주시거나 다시도전 주시면 될 것 같습니다.
좋아요0
-
원파
Lv.9
2020.06.18 21:54
비밀댓글
비밀 댓글이 등록 되었습니다.
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