수학동아 - 폴리매스

함께 풀고 싶은 문제

창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.

[창의 퍼즐]

아인수타인 2019.06.20 10:00 조회 601

문제 푼 사람 0명

페이스북 트위터 카카오톡 카카오스토리 네이버블로그 네이버밴드

어느 수든 숫자 말고 문장으로 표현할 수 있다. 예를 들어 '2019'는 '이천십구', '이천에 십을 더하고 구를 더한 수' 등으로, '10000'은 '일만', '십의 사승', '이만의 이분의 일' 등으로, '33550336'은 '삼천삼백오십오만삼백삼십육', '다섯 번째 완전수', '삼천삼백오십오만삼백사십육에서 십 부족한 수' 등으로 나타낼 수 있다. 이때 여러 가지 표현법이 존재하는데, 어떤 정수든 열여덟 글자 이내로 나타내는 방법이 적어도 하나 존재함을 보여라.

이전글 교점의 개수의 최댓값

다음글 이상한 그래프 문제

이 문제 어떠셨나요?

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아인수타인 Lv.12 2019.06.20 10:00

6월 26일까지 풀면 여기 비댓으로 달아주세요.

댓글 작성하기 좋아요0 댓글수2
- Undefined Lv.1 2019.06.21 10:01 비밀댓글
  
  비밀 댓글이 등록 되었습니다!
- 아인수타인 Lv.12 2019.06.22 11:13
  
  Undefined님 정답입니다. (그리고 제가 이 문제를 낸 의도가 바로 '그것'입니다. 의도까지도 잘 파악해 주셨네요.)
  
  좋아요0
muse Lv.6 2019.06.22 04:59

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Function: getLatexImg

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File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
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Function: getLatexImg

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Line: 90
Function: parseLatexImg

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Line: 343
Function: view

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Line: 315
Function: require_once

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Function: file_put_contents

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Function: getLatexImg

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Line: 90
Function: parseLatexImg

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Line: 343
Function: view

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Line: 558
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/index.php
Line: 315
Function: require_once

저는 안 될 것 같습니다.

문자의 수는 제한되어 있습니다. (공백 포함) 이 문자들의 개수를 $S$ 라 하면, 많아야 $S^{18}+S^{17}+S^{16}+ \cdots S+1$ 개의 정수밖에 표현하지 못할 것입니다.

정수는 무한히 많으므로 이는 불가능합니다.

댓글 작성하기 좋아요0 댓글수1
- Undefined Lv.1 2019.06.22 09:29 비밀댓글
  
  비밀 댓글이 등록 되었습니다!
m1 Lv.1 2019.06.25 06:32

정답이 궁금한데 비댓으로 달아주실수 있나요?

댓글 작성하기 좋아요0 댓글수1
- 아인수타인 Lv.12 2019.06.28 07:16 비밀댓글
  
  비밀 댓글이 등록 되었습니다!
acau535552 Lv.5 2019.07.06 02:47

열여덟 글자 이내로 나타낼수 없는 정수

댓글 작성하기 좋아요0 댓글수1
- 아인수타인 Lv.12 2019.07.07 10:06
  
  일단 한마디로 요약하자면 맞습니다.
  
  좋아요0
잠보수학자 Lv.1 2019.07.06 05:09 비밀댓글

비밀 댓글이 등록 되었습니다.

댓글 작성하기 댓글수0
뉴＿턴 Lv.8 2019.07.13 06:26

답이 궁금한데 뭐에요???

댓글 작성하기 좋아요0 댓글수2
- 아인수타인 Lv.12 2019.07.16 06:49 비밀댓글
  
  비밀 댓글이 등록 되었습니다!
- 뉴＿턴 Lv.8 2019.07.17 06:01
  
  와!!!!!!
  
  짱인데요!!!!!ㅋㅋㅋㅋㅋ
  
  좋아요0
우와 Lv.5 2019.07.13 22:56

아인슈타인님

답좀 비밀댓글로 달아주실 수 있나요?

댓글 작성하기 좋아요0 댓글수1
- 아인수타인 Lv.12 2019.07.16 06:55 비밀댓글
  
  비밀 댓글이 등록 되었습니다!
주우평 Lv.1 2019.09.23 03:39

아인수타인님

답좀 비밀댓글로 달아주실 수 있나요?

댓글 작성하기 좋아요0 댓글수1
- 아인수타인 Lv.12 2019.10.09 06:45 비밀댓글
  
  비밀 댓글이 등록 되었습니다!

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