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File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Cacher.php
Line: 22
Function: driver

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Cacher.php
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Function: initiateCache

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
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Function: require_once

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File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Cacher.php
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Function: driver

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Cacher.php
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Function: initiateCache

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Function: require_once

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File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/models/ver3/Contents_model.php
Line: 17
Function: _error_handler

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

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

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File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/models/ver3/Contents_model.php
Line: 18
Function: _error_handler

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

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
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File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
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Function: __construct

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

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Filename: libraries/Driver.php

Line Number: 188

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/models/ver3/Contents_model.php
Line: 799
Function: get

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 605
Function: getComment

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 425
Function: initBoardView

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

함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
[창의 퍼즐] [순열]PC방
수학만 2020.09.06 05:38 조회 508

어느 날 수학동아 홈페이지에 글을 올리고 싶던 오일뤄는 자신이 사는 아파트 근처에 있는 Permutation&Combination 방 이라는 PC방에 갔다.

오일뤄는 수학 동아 홈페이지에서 열심히 글을 올리고 레벨업을 하고 있었는데, 쓸 내용이 너무 많은 오일뤄는 시간을 늘리러 데스크에 가다가 한 

문구를 발견했다. <이 문제를 푸시면 이용시간을 2시간 더 늘려드리지요: 1/2P+ 1/3P+ 1/4P+ ...+1/1000P2 는?>

오일뤄는 이 문구를 보고 답안을 작성한 후 직원에게 내서 공짜로 2시간 더 이곳에 있게 될 수 있었다.

오일뤄가 작성한 답안은 무엇일까?

(풀이 과정 필수, 안 쓰면 부분해결)(오류 있으면 댓글에 남겨주세요)

이 문제 어떠셨나요?

글쎄요

0

어려워요

0

  •  
    해결
    Plum Lv.7 2020.09.11 05:19 비밀댓글

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    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
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    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
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    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
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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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    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view.php
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    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
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    Function: require_once

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

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view_comment_list.php
    Line: 90
    Function: parseLatexImg

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view.php
    Line: 343
    Function: view

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
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    Function: require_once

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    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
    Line: 213
    Function: file_put_contents

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
    Line: 236
    Function: getLatexImg

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view_comment_list.php
    Line: 90
    Function: parseLatexImg

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view.php
    Line: 343
    Function: view

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
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    Function: view

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

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    Line Number: 213

    Backtrace:

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
    Line: 213
    Function: file_put_contents

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
    Line: 236
    Function: getLatexImg

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view_comment_list.php
    Line: 90
    Function: parseLatexImg

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view.php
    Line: 343
    Function: view

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
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    Function: view

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    Line: 315
    Function: require_once

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    Filename: libraries/Common.php

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    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
    Line: 201
    Function: is_dir

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
    Line: 236
    Function: getLatexImg

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view_comment_list.php
    Line: 90
    Function: parseLatexImg

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    Function: view

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
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    Function: require_once

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    Filename: libraries/Common.php

    Line Number: 202

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    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
    Line: 202
    Function: mkdir

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
    Line: 236
    Function: getLatexImg

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view_comment_list.php
    Line: 90
    Function: parseLatexImg

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view.php
    Line: 343
    Function: view

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
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    Function: view

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

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    Filename: libraries/Common.php

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    Backtrace:

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
    Line: 212
    Function: file_exists

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
    Line: 236
    Function: getLatexImg

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view_comment_list.php
    Line: 90
    Function: parseLatexImg

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view.php
    Line: 343
    Function: view

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
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    Function: require_once

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    Filename: libraries/Common.php

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    Backtrace:

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
    Line: 213
    Function: file_put_contents

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
    Line: 236
    Function: getLatexImg

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view_comment_list.php
    Line: 90
    Function: parseLatexImg

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view.php
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    Function: view

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
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    Line: 315
    Function: require_once

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    Backtrace:

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
    Line: 213
    Function: file_put_contents

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
    Line: 236
    Function: getLatexImg

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view_comment_list.php
    Line: 90
    Function: parseLatexImg

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view.php
    Line: 343
    Function: view

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
    Line: 558
    Function: view

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

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Message: Creation of dynamic property Article_model::$best_cnt is deprecated

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Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/models/ver3/Article_model.php
Line: 18
Function: _error_handler

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

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

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
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Function: get_footer

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Function: require_once

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File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/models/ver3/Article_model.php
Line: 19
Function: _error_handler

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

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

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 559
Function: get_footer

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

수학동아 - 폴리매스
  • 폴리매스 문제는 과학기술진흥기금 및 복권기금의 재원으로 운영되고, 과학기술정보통신부와 한국과학창의재단의 지원을 받아 수행된 성과물로 우리나라의 과학기술 발전과 사회적 가치 증진에 기여하고 있습니다.

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