A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property CI_URI::$config is deprecated

Filename: core/URI.php

Line Number: 101

Backtrace:

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property CI_Router::$uri is deprecated

Filename: core/Router.php

Line Number: 127

Backtrace:

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property Contents::$benchmark is deprecated

Filename: core/Controller.php

Line Number: 75

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property Contents::$hooks is deprecated

Filename: core/Controller.php

Line Number: 75

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property Contents::$config is deprecated

Filename: core/Controller.php

Line Number: 75

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property Contents::$log is deprecated

Filename: core/Controller.php

Line Number: 75

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property Contents::$utf8 is deprecated

Filename: core/Controller.php

Line Number: 75

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property Contents::$uri is deprecated

Filename: core/Controller.php

Line Number: 75

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property Contents::$exceptions is deprecated

Filename: core/Controller.php

Line Number: 75

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property Contents::$router is deprecated

Filename: core/Controller.php

Line Number: 75

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property Contents::$output is deprecated

Filename: core/Controller.php

Line Number: 75

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property Contents::$security is deprecated

Filename: core/Controller.php

Line Number: 75

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property Contents::$input is deprecated

Filename: core/Controller.php

Line Number: 75

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property Contents::$lang is deprecated

Filename: core/Controller.php

Line Number: 75

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property Contents::$load is deprecated

Filename: core/Controller.php

Line Number: 78

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property CI_Cache::$apc is deprecated

Filename: libraries/Driver.php

Line Number: 188

Backtrace:

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
Line: 17
Function: initiateCache

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property CI_Cache::$file is deprecated

Filename: libraries/Driver.php

Line Number: 188

Backtrace:

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
Line: 17
Function: initiateCache

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property Contents::$cache is deprecated

Filename: core/Loader.php

Line Number: 1279

Backtrace:

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
Line: 17
Function: initiateCache

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property Contents::$cacher is deprecated

Filename: core/Loader.php

Line Number: 1279

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property Contents::$jscript is deprecated

Filename: core/Loader.php

Line Number: 1279

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: 8192

Message: Return type of CI_Session_files_driver::open($save_path, $name) should either be compatible with SessionHandlerInterface::open(string $path, string $name): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice

Filename: drivers/Session_files_driver.php

Line Number: 132

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: 8192

Message: Return type of CI_Session_files_driver::close() should either be compatible with SessionHandlerInterface::close(): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice

Filename: drivers/Session_files_driver.php

Line Number: 290

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: 8192

Message: Return type of CI_Session_files_driver::read($session_id) should either be compatible with SessionHandlerInterface::read(string $id): string|false, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice

Filename: drivers/Session_files_driver.php

Line Number: 164

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: 8192

Message: Return type of CI_Session_files_driver::write($session_id, $session_data) should either be compatible with SessionHandlerInterface::write(string $id, string $data): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice

Filename: drivers/Session_files_driver.php

Line Number: 233

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: 8192

Message: Return type of CI_Session_files_driver::destroy($session_id) should either be compatible with SessionHandlerInterface::destroy(string $id): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice

Filename: drivers/Session_files_driver.php

Line Number: 313

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: 8192

Message: Return type of CI_Session_files_driver::gc($maxlifetime) should either be compatible with SessionHandlerInterface::gc(int $max_lifetime): int|false, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice

Filename: drivers/Session_files_driver.php

Line Number: 354

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: Warning

Message: ini_set(): Session ini settings cannot be changed after headers have already been sent

Filename: Session/Session.php

Line Number: 284

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: Warning

Message: session_set_cookie_params(): Session cookie parameters cannot be changed after headers have already been sent

Filename: Session/Session.php

Line Number: 291

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: Warning

Message: ini_set(): Session ini settings cannot be changed after headers have already been sent

Filename: Session/Session.php

Line Number: 306

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: Warning

Message: ini_set(): Session ini settings cannot be changed after headers have already been sent

Filename: Session/Session.php

Line Number: 316

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: Warning

Message: ini_set(): Session ini settings cannot be changed after headers have already been sent

Filename: Session/Session.php

Line Number: 317

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: Warning

Message: ini_set(): Session ini settings cannot be changed after headers have already been sent

Filename: Session/Session.php

Line Number: 318

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: Warning

Message: ini_set(): Session ini settings cannot be changed after headers have already been sent

Filename: Session/Session.php

Line Number: 319

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: Warning

Message: ini_set(): Session ini settings cannot be changed after headers have already been sent

Filename: Session/Session.php

Line Number: 377

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: Warning

Message: ini_set(): Session ini settings cannot be changed after headers have already been sent

Filename: drivers/Session_files_driver.php

Line Number: 108

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: Warning

Message: session_set_save_handler(): Session save handler cannot be changed after headers have already been sent

Filename: Session/Session.php

Line Number: 110

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: Warning

Message: session_start(): Session cannot be started after headers have already been sent

Filename: Session/Session.php

Line Number: 143

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property Contents::$session is deprecated

Filename: core/Loader.php

Line Number: 1279

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property Contents::$agent is deprecated

Filename: core/Loader.php

Line Number: 1279

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property Contents::$contentsStatus is deprecated

Filename: libraries/Common.php

Line Number: 64

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 64
Function: _error_handler

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 24
Function: initContentsStatusInfo

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property Contents::$articleStatus is deprecated

Filename: libraries/Common.php

Line Number: 71

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 71
Function: _error_handler

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 24
Function: initContentsStatusInfo

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property Contents::$db is deprecated

Filename: core/Loader.php

Line Number: 390

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/models/ver3/Contents_model.php
Line: 15
Function: database

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 440
Function: model

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 29
Function: initMenu

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property CI_DB_mysqli_driver::$failover is deprecated

Filename: database/DB_driver.php

Line Number: 371

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/models/ver3/Contents_model.php
Line: 15
Function: database

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 440
Function: model

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 29
Function: initMenu

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: 8192

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

Filename: ver3/Contents_model.php

Line Number: 17

Backtrace:

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
Line: 440
Function: model

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 29
Function: initMenu

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property Contents_model::$popular_cnt is deprecated

Filename: ver3/Contents_model.php

Line Number: 18

Backtrace:

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
Line: 440
Function: model

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 29
Function: initMenu

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property Contents::$member_model is deprecated

Filename: core/Loader.php

Line Number: 353

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/models/ver3/Contents_model.php
Line: 20
Function: model

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 440
Function: model

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 29
Function: initMenu

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property Contents::$contents_model is deprecated

Filename: core/Loader.php

Line Number: 353

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 440
Function: model

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 29
Function: initMenu

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property Contents::$menuList is deprecated

Filename: libraries/Common.php

Line Number: 561

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 561
Function: _error_handler

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 29
Function: initMenu

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property Contents::$common is deprecated

Filename: core/Loader.php

Line Number: 1279

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property Contents::$dto is deprecated

Filename: core/Loader.php

Line Number: 1279

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 14
Function: __construct

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property Contents::$together_end_date is deprecated

Filename: ver3/Contents.php

Line Number: 17

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 17
Function: _error_handler

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property CI_Cache::$dummy is deprecated

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property CI_Loader::$benchmark is deprecated

Filename: core/Loader.php

Line Number: 925

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 387
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 557
Function: get_header

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property CI_Loader::$hooks is deprecated

Filename: core/Loader.php

Line Number: 925

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 387
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 557
Function: get_header

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property CI_Loader::$config is deprecated

Filename: core/Loader.php

Line Number: 925

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 387
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 557
Function: get_header

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property CI_Loader::$log is deprecated

Filename: core/Loader.php

Line Number: 925

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 387
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 557
Function: get_header

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property CI_Loader::$utf8 is deprecated

Filename: core/Loader.php

Line Number: 925

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 387
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 557
Function: get_header

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property CI_Loader::$uri is deprecated

Filename: core/Loader.php

Line Number: 925

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 387
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 557
Function: get_header

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property CI_Loader::$exceptions is deprecated

Filename: core/Loader.php

Line Number: 925

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 387
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 557
Function: get_header

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property CI_Loader::$router is deprecated

Filename: core/Loader.php

Line Number: 925

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 387
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 557
Function: get_header

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property CI_Loader::$output is deprecated

Filename: core/Loader.php

Line Number: 925

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 387
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 557
Function: get_header

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property CI_Loader::$security is deprecated

Filename: core/Loader.php

Line Number: 925

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 387
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 557
Function: get_header

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property CI_Loader::$input is deprecated

Filename: core/Loader.php

Line Number: 925

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 387
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 557
Function: get_header

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property CI_Loader::$lang is deprecated

Filename: core/Loader.php

Line Number: 925

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 387
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 557
Function: get_header

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property CI_Loader::$load is deprecated

Filename: core/Loader.php

Line Number: 925

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 387
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 557
Function: get_header

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property CI_Loader::$cache is deprecated

Filename: core/Loader.php

Line Number: 925

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 387
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 557
Function: get_header

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property CI_Loader::$cacher is deprecated

Filename: core/Loader.php

Line Number: 925

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 387
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 557
Function: get_header

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property CI_Loader::$jscript is deprecated

Filename: core/Loader.php

Line Number: 925

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 387
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 557
Function: get_header

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property CI_Loader::$session is deprecated

Filename: core/Loader.php

Line Number: 925

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 387
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 557
Function: get_header

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property CI_Loader::$agent is deprecated

Filename: core/Loader.php

Line Number: 925

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 387
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 557
Function: get_header

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property CI_Loader::$contentsStatus is deprecated

Filename: core/Loader.php

Line Number: 925

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 387
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 557
Function: get_header

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property CI_Loader::$articleStatus is deprecated

Filename: core/Loader.php

Line Number: 925

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 387
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 557
Function: get_header

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property CI_Loader::$db is deprecated

Filename: core/Loader.php

Line Number: 925

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 387
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 557
Function: get_header

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property CI_Loader::$member_model is deprecated

Filename: core/Loader.php

Line Number: 925

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 387
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 557
Function: get_header

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property CI_Loader::$contents_model is deprecated

Filename: core/Loader.php

Line Number: 925

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 387
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 557
Function: get_header

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property CI_Loader::$menuList is deprecated

Filename: core/Loader.php

Line Number: 925

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 387
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 557
Function: get_header

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property CI_Loader::$common is deprecated

Filename: core/Loader.php

Line Number: 925

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 387
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 557
Function: get_header

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property CI_Loader::$dto is deprecated

Filename: core/Loader.php

Line Number: 925

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 387
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 557
Function: get_header

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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property CI_Loader::$together_end_date is deprecated

Filename: core/Loader.php

Line Number: 925

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 387
Function: view

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 557
Function: get_header

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

A PHP Error was encountered

Severity: 8192

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

Filename: ver3/Article_model.php

Line Number: 18

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
Line: 322
Function: model

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 392
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

A PHP Error was encountered

Severity: 8192

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

Filename: ver3/Article_model.php

Line Number: 19

Backtrace:

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
Line: 322
Function: model

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 392
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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property Contents::$article_model is deprecated

Filename: core/Loader.php

Line Number: 353

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 322
Function: model

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 392
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

A PHP Error was encountered

Severity: 8192

Message: Creation of dynamic property CI_Loader::$article_model is deprecated

Filename: core/Loader.php

Line Number: 925

Backtrace:

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 434
Function: view

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

์ˆ˜ํ•™๋™์•„ - ํด๋ฆฌ๋งค์Šค
๋ณธ๋ฌธ๋ฐ”๋กœ๊ฐ€๊ธฐ
ํด๋ฆฌ๋งค์Šค ๋ฌธ์ œ
์•„์ง ์•„๋ฌด๋„ ๋‹ต์„ ๋ชจ๋ฅด๋Š” ๋ฌธ์ œ์— ๋„์ „ํ•˜์„ธ์š”!
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์ˆ˜ํ•™๋™์•„ 2018.09.04 02:25 ์กฐํšŒ 3453

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๋‚ด๋ง˜๋Œ€๋กœ ์ˆซ์ž ๋ ˆ์‹œํ”ผ

ย ย ย ย ย ย ย ย ย ย  ย ย ย ย ย ย 

ย 

๋ฌธ์ œ ์ถœ์ œ์ž : ๋ฐฑ์ง„์–ธ ์ˆ˜๋ฆฌ๊ณผํ•™์—ฐ๊ตฌ์†Œ ์—ฐ๊ตฌ์›

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1ย  ย 4ย  ย 5ย  ย 5ย  ย 5ย 

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ย 

โ€ป์˜คํƒ€๋ฅผ ์ˆ˜์ •ํ•ฉ๋‹ˆ๋‹ค.

๋ฌธ์ œ2 4๋ฒˆ์งธ ์ค„์—ย '1๋ถ€ํ„ฐ 7๊นŒ์ง€์˜ ์ˆ˜'๊ฐ€ ์•„๋‹ˆ๋ผ, '1๋ถ€ํ„ฐ 6๊นŒ์ง€์˜ ์ˆ˜'์ž…๋‹ˆ๋‹ค.

ย 

โ€ป์•Œ๋ฆฝ๋‹ˆ๋‹ค.

โ‘ ๋ˆ„๊ตฐ๊ฐ€ ์นœ๊ตฌ๊ฐ€ย ์†Œ๋ฌธ์ œ 1๋ฒˆ์„ ํ•ด๊ฒฐํ–ˆ์–ด์š”. ๋‹ค๋“ค ์ •๋‹ต์„ ํ™•์ธํ•ด ๋ณด์„ธ์š”!!ย 

โ‘ก์†Œ๋ฌธ์ œ 2๋ฒˆ์€ ์ˆ˜๋Œ์ด ์นœ๊ตฌ๊ฐ€ ์ตœ์ดˆ๋กœ ํ’€๊ณ ,ย ์ด์–ด ์ˆ˜ํ•™์ž &ย ๋ˆ„๊ตฐ๊ฐ€ ์นœ๊ตฌ๊ฐ€ ์ž‡๋‹ฌ์•„ ํ’€์—ˆ์Šต๋‹ˆ๋‹ค. ๋ฌธ์ œ ํŠน์„ฑ์ƒ 3๋ช…์ด ๊ณต๋™์œผ๋กœ ํ‘ผ ๊ฑธ๋กœ ์ธ์ •ํ•˜๊ฒ ์Šต๋‹ˆ๋‹ค. ํ”„๋กœ๊ทธ๋ž˜๋ฐ์œผ๋กœ ๋ฌธ์ œ๋ฅผ ํ•ด๊ฒฐํ•  ๋•Œ ์–ด๋–ป๊ฒŒ ํ’€์ด๋ฅผ ๊ฒ€์ฆํ•˜๋Š”์ง€ ์ž˜ ์•Œ์•„๋‘์„ธ์š”!!laugh

  •  
    ํ”„๋กœ๋ฒค์   Lv.1 2018.09.04 03:22

    ๋ฌธ์ œ 1 ์ฆ๋ช…๊ณผ์ •

     

    /

    mod 5๋กœ ๋ณด์ž.

    38์€ mod 5๋กœ 3์ด๋‹ค.

    1,4,5,5,5๋กœ 3 (mod 5)๋ฅผ ๋งŒ๋“ค ์ˆ˜ ์žˆ๋Š” ๊ฒƒ์€ (4-1)๋ฐ–์— ์—†๋‹ค.

    ์ฆ‰ 3,5,5,5๋กœ 38์„ ๋งŒ๋“œ๋Š” ๊ฒƒ๊ณผ ๋™์ผํ•œ๋ฐ,

    ์ด๋Š” ๋ถˆ๊ฐ€๋Šฅํ•˜๋‹ค.

    /

     

    ํ˜น์‹œ ์ด ์ฆ๋ช…์— ์˜ค๋ฅ˜๊ฐ€ ์žˆ๋‚˜์š”?

    ๋Œ“๊ธ€ ์ž‘์„ฑํ•˜๊ธฐ ์ข‹์•„์š”1 ๋Œ“๊ธ€์ˆ˜4
    •  

      ์ €๋‘ 3(mod5)์ธ ์ˆ˜๊ฐ€ 4-1 = 3 ๋ฟ์ธ ์ค„ ์•Œ์•˜๋Š”๋ฐ

      5×5-1-(5-4) = 23๋„ ์žˆ๊ธด ํ•˜๋„ค์š”!

      ์ข‹์•„์š”0
    •  
      ํ”„๋กœ๋ฒค์   Lv.1 2018.09.07 08:02

      ์•„ ๊ทธ๋Ÿด์ˆ˜๋„ ์žˆ๊ฒ ๋„ค์š”.

      ์ข‹์•„์š”0
    •  
      ํŽ˜๋ฅด๋งˆ Lv.1 2018.09.10 05:39

      ๊ทธ๋Ÿฐ๋ฐ mod 5๊ฐ€ 23์ด๋ผ๊ณ  ๊ฐ€์ •ํ•ด๋„ 38์„ ๋งŒ๋“œ๋Š” ๊ฒƒ์€ ๋ถˆ๊ฐ€๋Šฅํ•œ ๊ฒƒ ๊ฐ™์Šต๋‹ˆ๋‹ค

      ์ข‹์•„์š”0
    •  
      POLYMATH Lv.1 2019.08.04 20:56

      (5-1/4)*(5+5) ๋งž๋‚˜์š”?

      ์ข‹์•„์š”0
  •  
    ํ”„๋กœ๋ฒค์   Lv.1 2018.09.04 03:28

    ๊ทธ๋Ÿฐ๋ฐ 1 ๋‹ค์„ฏ ๊ฐœ๋กœ 7์„ ์–ด๋–ป๊ฒŒ ๋งŒ๋“ค์ฃ ?

    ๋Œ“๊ธ€ ์ž‘์„ฑํ•˜๊ธฐ ์ข‹์•„์š”1 ๋Œ“๊ธ€์ˆ˜2
    •  
      ๋ฒ ๋„ค๋”•ํŠธ0724 Lv.6 2018.09.04 08:29

      ๋ฌธ์ œ๊ฐ€ ์ž˜๋ชป ๋œ ๊ฒƒ ๊ฐ™๋„ค์š”

      ์ข‹์•„์š”0
    •  

      ์•—, ์˜คํƒ€ ์ฃ„์†กํ•ฉ๋‹ˆ๋‹ค! ๋ฐฑ์ง„์–ธ ์—ฐ๊ตฌ์›๋‹˜๊ป˜ ํ™•์ธํ•œ ๊ฒฐ๊ณผ 7์ด ์•„๋‹Œ 6์ž…๋‹ˆ๋‹ค!

      ์ข‹์•„์š”0
  •  
    ๋ฒ ๋„ค๋”•ํŠธ0724 Lv.6 2018.09.04 08:25

    1๋ฒˆ ๋ฌธ์ œ๋Š” ๊ธˆ๋ฐฉ ํ’€๋ฆด ๊ฒƒ ๊ฐ™์€๋ฐ...

    ๋Œ“๊ธ€ ์ž‘์„ฑํ•˜๊ธฐ ์ข‹์•„์š”0 ๋Œ“๊ธ€์ˆ˜1
  •  
    ์•„์ธ์ˆ˜ํƒ€์ธ Lv.12 2018.09.04 09:14

    1 ๋‘๊ฐœ๋ฅผ ์‚ฌ์šฉํ•ด 11๋กœ ๋งŒ๋“œ๋Š” ๊ฒŒ ๊ฐ€๋Šฅํ•œ๊ฐ€์š”?

    ๋Œ“๊ธ€ ์ž‘์„ฑํ•˜๊ธฐ ์ข‹์•„์š”0 ๋Œ“๊ธ€์ˆ˜1
    •  
      ํ”„๋กœ๋ฒค์   Lv.1 2018.09.05 02:02

      ์•ˆ๋  ๊ฒƒ ๊ฐ™์€๋ฐ์š”?

      1 ๋‹ค์„ฏ ๊ฐœ๋กœ 8์„ ๋งŒ๋“ค ์ˆ˜ ์—†๋‹ค๊ณ  ๋ฌธ์ œ์— ๋‚˜์™€์žˆ๋Š”๋ฐ,

      ๋งŒ์•ฝ 1 ๋‘๊ฐœ๋กœ 11์„ ๋งŒ๋“ค ์ˆ˜ ์žˆ๋‹ค๊ณ  ํ•œ๋‹ค๋ฉด,

      11-1-1-1๋กœ 8์„ ๋งŒ๋“ค ์ˆ˜ ์žˆ์œผ๋‹ˆ ๋ฌธ์ œ ์กฐ๊ฑด์— ๋ชจ์ˆœ๋˜์–ด ์•ˆ๋  ๊ฒƒ ๊ฐ™์Šต๋‹ˆ๋‹ค.

       

      ๊ทธ๋ฆฌ๊ณ  ์ง๊ด€์ ์œผ๋กœ ์•ˆ๋  ๊ฒƒ ๊ฐ™์€ ๋А๋‚Œ์ด ๊ฐ•ํ•˜๊ฒŒ ๋‚˜๋Š”๋ฐ์š”?

       

      ์ข‹์•„์š”0
  •  
    CoderLab Lv.4 2018.09.04 20:59

    ๋ฌธ์ œ 1 ๊ฐ€๋Šฅํ•œ๊ฑฐ์ฃ ?

     

    ๋Œ“๊ธ€ ์ž‘์„ฑํ•˜๊ธฐ ์ข‹์•„์š”0 ๋Œ“๊ธ€์ˆ˜2
    •  
      ์•„์ธ์ˆ˜ํƒ€์ธ Lv.12 2018.09.05 00:03

      ๋งŒ์•ฝ ๋ถˆ๊ฐ€๋Šฅํ•˜๋‹ค๋ฉด ๋ฌธ์ œ 1์—์„œ '์•„๋ž˜ ์ˆซ์ž 5๊ฐœ๋ฅผ ์ „๋ถ€ ํ•œ ๋ฒˆ์”ฉ๋งŒ ์“ฐ๊ณ , ์‚ฌ์น™์—ฐ์‚ฐ๊ณผ ๊ด„ํ˜ธ๋งŒ ์ด์šฉํ•ด ์ˆซ์ž 38์„ ๋งŒ๋“ค ์ˆ˜ ์žˆ์„๊นŒ?' ๋ผ๊ณ  ๋ฌป์ง€ ์•Š์•˜์„๊นŒ์š”?

      ์ข‹์•„์š”0
    •  
      ํ”„๋กœ๋ฒค์   Lv.1 2018.09.05 02:04

      ์ €๋Š” ๋А๋‚Œ์ƒ ๋ถˆ๊ฐ€๋Šฅํ•  ๊ฒƒ ๊ฐ™์€๋ฐ์š”.

      ๊ฐ€๋Šฅํ•˜๋‹ค๋ฉด ์ด๋ฅผ ๋ฌธ์ œ๋กœ ๋‚ด์ง€๋Š” ์•Š์•˜์„ ๊ฒƒ ๊ฐ™์•„์š”. 

      ์ข‹์•„์š”0
  •  
    ์•„์ธ์ˆ˜ํƒ€์ธ Lv.12 2018.09.05 00:42

    ์—ฅ, ๊ทผ๋ฐ ๋งจ ์œ„์ชฝ์— ๋Œ€ํ•œ์ˆ˜ํ•™ํšŒ๊ฐ€ ์•„๋‹ˆ๋ผ ๊ตญ๊ฐ€์ˆ˜๋ฆฌ๊ณผํ•™์—ฐ๊ตฌ์†Œ ์•„๋‹Œ๊ฐ€์š”? (๋Œ€๊ด„ํ˜ธ ์•ˆ์—)

    ๋Œ“๊ธ€ ์ž‘์„ฑํ•˜๊ธฐ ์ข‹์•„์š”0 ๋Œ“๊ธ€์ˆ˜1
  •  

    39,37,36,35,34๊ฐ™์€๊ฑด ๋งŒ๋“ค๊ฒ ๋Š”๋ฐ 38์€ ์•„์ง ๋ชป๋งŒ๋“ค์—ˆ๋„ค์š”ใ… 

    41- (5+5)/5 = 39

    51-(4+5+5) = 37

    55-4×5+1 = 36

    155÷5+4 = 35

    54-(5+15) = 34

    ๋Œ“๊ธ€ ์ž‘์„ฑํ•˜๊ธฐ ์ข‹์•„์š”0 ๋Œ“๊ธ€์ˆ˜4
    •  
      ๋ฒ ๋„ค๋”•ํŠธ0724 Lv.6 2018.09.05 06:29

      4๋ž‘ 5๋ฅผ 45๋กœ ๋งŒ๋“œ๋Š” ๋“ฑ์˜ ์—ฐ์‚ฐ์€ ๋ถˆ๊ฐ€๋Šฅํ•ฉ๋‹ˆ๋‹ค

      ์ข‹์•„์š”0
    •  

      14๋ฅผ 1์™€ 4ํ•œ ๋ฒˆ์”ฉ ์ผ๋‹ค๊ณ  ๋ณด๋ฉด ์•ˆ๋œ๋‹จ ๊ฑฐ๊ตฐ์š”. ์•Œ๊ฒ ์Šต๋‹ˆ๋‹ค.

      ์ข‹์•„์š”0
    •  
      ๋ฒ ๋„ค๋”•ํŠธ0724 Lv.6 2018.09.05 07:08

      ๊ทผ๋ฐ ๊ทธ๋Ÿฐ ๋ง์€ ์•ˆ ์“ฐ์—ฌ ์žˆ์–ด์„œ ๋งŒ์•ฝ ๋ฌธ์ œ 2์˜ 8์€ ๋งŒ๋“ค ์ˆ˜ ์—†๋‹ค.๋ผ๋Š” ๋ง์ด ์˜คํƒ€๋ผ๋ฉด ๋  ๊ฒƒ ๊ฐ™์Šต๋‹ˆ๋‹ค. ์ด๊ฑด ์ถœ์ œ์ž๋ถ„์ด ์ง์ ‘ ์–ธ๊ธ‰ํ•ด์ฃผ์…”์•ผ ํ•  ๊ฒƒ ๊ฐ™๋„ค์š”

      ์ข‹์•„์š”0
    •  

      ์•— ์ค‘๊ฐ„์— ์•„์ธ์ˆ˜ํƒ€์ธ๋‹˜ ๋Œ“๊ธ€ ๋ฐ‘์— ๊ฑธ๋ฆฐ ํ”„๋กœ๋ฒค์  ๋‹˜๋ง๋Œ€๋กœ 1 ๋‘๊ฐœ๋ฅผ ๋ถ™์—ฌ 11๋กœ ๋งŒ๋“œ๋Š” ๋ฐฉ์‹์€ ์•„์˜ˆ ์•ˆ๋˜๋„ค์š”. ์ œ๊ฐ€ ํ”„๋กœ๋ฒค์  ๋‹˜ ๋Œ“๊ธ€์„ ๋†“์ณค๊ตฐ์š”..

      ์ข‹์•„์š”0
  •  

    ์ถœ์ œ์ž ๋‹˜๊ป˜ ๋“ฑํŒ์„ ์š”์ฒญํ–ˆ์ง€๋งŒ, ๋ฐ”์˜์‹  ๊ด€๊ณ„๋กœ ์˜๊ฒฌ๋งŒ ์ „๋‹ฌ!

     

    โ‘ ์ˆซ์ž 1, 2๋ฅผ 12๋กœ ๋ถ™์—ฌ์“ฐ๋Š” ๊ฑด ๋ถˆ๊ฐ€!angry

    โ‘ก๋ฌธ์ œ ๋งˆ์ง€๋ง‰์— "8์€ ๋งŒ๋“ค ์ˆ˜ ์—†๋‹ค"๋Š” ์˜คํƒ€๊ฐ€ ์•„๋‹˜!

    (๋‹จ, ์—ฐ์†๋œ ์ˆซ์ž๋ฅผ ๋ชป๋งŒ๋“ ๋‹ค๋Š” ์˜๋ฏธ๋ฅผ ๊ฐ•์กฐํ•˜๊ธฐ ์œ„ํ•ด 8 ์•ž์— 7์„ ์ถ”๊ฐ€ํ•˜๊ฒ ์Šต๋‹ˆ๋‹ค. angel)

    ๋Œ“๊ธ€ ์ž‘์„ฑํ•˜๊ธฐ ์ข‹์•„์š”0 ๋Œ“๊ธ€์ˆ˜0
  •  
    ๋ฒ ๋„ค๋”•ํŠธ0724 Lv.6 2018.09.06 06:21

    ๊ทผ๋ฐ ๋ฌธ์ œ ๋‘˜ ๋‹ค ์ปดํ“จํ„ฐ๋กœ ํ’€๋ฉด ์‰ฌ์šธ ๊ฒƒ ๊ฐ™์€๋ฐ

    ์†์œผ๋กœ ํ‘ธ๋Š” ๊ฑธ ์›ํ•˜๋Š” ๊ฑด๊ฐ€์š”?

    ๋Œ“๊ธ€ ์ž‘์„ฑํ•˜๊ธฐ ์ข‹์•„์š”0 ๋Œ“๊ธ€์ˆ˜1
    •  

      ๋ฐ˜๋“œ์‹œ ๊ทธ๋Ÿฐ ๊ฑด ์•„๋‹ˆ์˜ˆ์š”!

      ์ถœ์ œ์ž ๋‹˜๋„ "ํ”„๋กœ๊ทธ๋ž˜๋ฐ ์—ฐ์Šต๋„ ํ• ๊ฒธ, ํ”„๋กœ๊ทธ๋ž˜๋ฐ์„ ์ด์šฉํ•ด ๋ฌธ์ œ๋ฅผ ํ•ด๊ฒฐํ•˜๋Š” ๊ฒƒ๋„  ์ข‹์„ ๊ฒƒ ๊ฐ™๋‹ค"๊ณ  ์ „ํ–ˆ๋‹ต๋‹ˆ๋‹ค.laugh

      ์ข‹์•„์š”0
  •  

    1,2,3,4,5๋ฅผ ๋ฝ‘์œผ๋ฉด ๊ด„ํ˜ธ์™€ ์‚ฌ์น™์—ฐ์‚ฐ์„ ํ†ตํ•ด 1๋ถ€ํ„ฐ ์—ฐ์†์œผ๋กœ ์–ผ๋งˆ๊นŒ์ง€ ๋งŒ๋“ค ์ˆ˜ ์žˆ์„๊นŒ์š”?

    ๋Œ“๊ธ€ ์ž‘์„ฑํ•˜๊ธฐ ์ข‹์•„์š”0 ๋Œ“๊ธ€์ˆ˜7
    •  
      ํ”„๋กœ๋ฒค์   Lv.1 2018.09.07 08:27

      1=3÷(1+2)×(5-4)

      2=(4-(5-3))÷2+1

      3=5×2-4-3×1

      4=4×(5-3-2+1)

      5=5×((3+2)×1-4))

      6=(5+1)×(2+3-4)

      7=(5+2)×(4-3×1)

      8=(5+3)×(4-2-1)

      9=(5+4)×(3-2×1)

      10=(5+4+1)×(3-2)

      11=(5+4+3-2+1)

      12=(5+4+3)×(2-1)

      13=(5+4+3+2-1)

      14=(5×3)-(3-2×1)

      15=(5+4+3+2+1)

      16=(5×4-3-(2-1))

      17=(5×4-3×(2-1))

      18=(5×4-3+2-1)

      19=(5×4-(3-2×1))

      20=(5×4×(3-2×1))

      21=(5×4+(3-2×1))

      22=(5×4+(3+1-2))

      23=(5×4+3×(2-1))

      24=(5×4+3+2-1)

      25=(5×(4+1)×(3-2))

      26=(5×(4+1)+(3-2))

      27=(5×(4+2)-3×1)

      28=(5×(4+2)-(3-1))

      29=(5×(3+2)+4×1)

      30=(5×(4+1)+3+2)

      31=???

      ์ข‹์•„์š”0
    •  
      ํ”„๋กœ๋ฒค์   Lv.1 2018.09.07 08:31

      ๋™์ฐธํ•ด ์ฃผ์‹ค๋ถ„ ๊ตฌํ•ฉ๋‹ˆ๋‹ค.

      ๊ทธ๋Ÿฐ๋ฐ ์˜ˆ์ƒ๋ณด๋‹ค ๋งŽ์ด ๋‚˜์˜ค๋„ค์š”...

      ํ”„๋กœ๊ทธ๋ž˜๋ฐ ๋“ฑ ๋‹ค๋ฅธ ๋ฐฉ๋ฒ•์ด ํ•„์š”ํ•  ๊ฒƒ ๊ฐ™์Šต๋‹ˆ๋‹ค.

      ์ข‹์•„์š”0
    •  

      14์— 3์ด 2๊ฐœ ์žˆ์œผ์…”์„œ 14 = 3 x 4 + (5-2-1)

      ๋กœ ๋‹ค๋ฅด๊ฒŒ ๋‚˜ํƒ€๋‚ด๋ดค์–ด์š”.

      ๊ทธ๋ฆฌ๊ณ  31๋ถ€ํ„ฐ๋Š”..

      31 = (5+2) x 4 + 3 x 1

      32 = (5+2) x 4 + 3 + 1

      33 = (5+3) x 4 + 2 - 1

      34 = (5+3) x 4 + 2 x 1

      35 = (5+3) x 4 + 2 + 1

      36 = ( 5 + 3 + 2 - 1 ) x 4

      37 = 2 x 4 x 5 - 3 x 1

      38 = (5 + 3) x (4 + 1) - 2

      39 = (1+5) x (4+2) + 3

      40 = (4+2-1) x (5 +3)

      41 = (2x5+4) x 3 - 1

      42 = 5 x (4+3+1) + 2

      43 = (2x5 +4) x 3 + 1

      44 = (5 x 4 +2) x(3 - 1)

      45 = (3x1 +2) x (5+4)

      46 = 2 x (4 x 5 + 3 x 1)

      47 = 2 x (4 x 5 + 3) + 1

      48 = 4 x (5 x 2 + 3 - 1)

      49 = (3 + 4) x (2 + 5) x 1

      50 = 5 x (1+2+3+4)

      51 = 3 x (4 x 5 - 1 - 2)

      52 = 4 x (1 x 2 x 5 + 3)

      53 = 5 x (3 x 4 - 1) - 2

      54 = (5 + 4x1) x 3 x 2

      55 = 5 x (3 x 2 + 4 + 1)

      56 = (3 + 4) x (1 + 2 + 5)

      57 = 3 x 4 x 5 - 2 - 1 

      58= 3 x 4 x 5 - 2 x 1

      59 = 3 x 4 x 5 - 2 + 1

      60 = (1 + 4 + 5) x 3 x 2

      61 = 3 x 4 x 5 + 2 - 1

      62 = 3 x 4 x 5 + 2 x 1

      63 = 3 x 4 x 5 + 2 + 1

      64 = (3 + 5) x (1 x 2 x 4)

      65 = (3 + 5) x 2 x 4 + 1

      66 = (1 + 5) x (4x2 +3)

      67 = ??

      ์ผ์ผ์ด ๋‚˜์—ดํ•˜๋ฉด์„œ ๋ฌธ์ œ์— ๋„์›€์ด ๋  ์„ฑ์งˆ์ด ๋ฌด์—‡์ผ์ง€ ์ฐพ์•„์•ผ๊ฒ ๋‹จ ์ƒ๊ฐ์ด ๋“ค์–ด์š”..

       

      1๋ฒˆ๋ฌธ์ œ๋Š” ๋ถˆ๊ฐ€๋Šฅํ•  ๊ฒƒ ๊ฐ™๋‹จ ๋А๋‚Œ๋งŒ ๋“œ๋Š”๋ฐ.. ๋ถˆ๊ฐ€๋Šฅํ•œ ์ด์œ ๋ฅผ ์ฐพ์•„๋ณด๋ คํ•ด์š”.

      ์ข‹์•„์š”0
    •  
      KSRA Lv.1 2018.09.08 03:08

      ํ˜น์‹œ 1,2,3,4,5 ๋กœ 74๋‚˜ 76์„ ๋งŒ๋“ค ์ˆ˜ ์žˆ๋‚˜์š”?

      1~73, 75, 77์€ ๋งŒ๋“ค ์ˆ˜ ์žˆ์–ด์š”.

      ์ข‹์•„์š”1
    •  

      74 = (5+1) x 4 x 3 + 2๋ฅผ ์ฐพ์•˜์–ด์š”.

      ์ข‹์•„์š”0
    •  
      ์•„์ธ์ˆ˜ํƒ€์ธ Lv.12 2018.09.09 00:57

      ๊ถŒ์ˆœ์šฉ๋‹˜์ด ๋ฌผ์–ด๋ณด์…จ๋˜ ๊ฑด ์•„๋‹ˆ์ง€๋งŒ 78 = (3 + 1) x 5 x 4 - 2๋„ ์ฐพ์•˜์–ด์š”.

      ์ข‹์•„์š”0
    •  
      ์•„์ธ์ˆ˜ํƒ€์ธ Lv.12 2018.09.09 10:23

      ์š” ๋Œ€๋Œ“๊ธ€๊ณผ ๋ณ„๊ฐœ์ง€๋งŒ 1,2,3,4,5๋ง๊ณ  3,4,5,7,9๋ฅผ ์“ด๋‹ค๋ฉด 76๋„ ๊ฐ€๋Šฅํ•ฉ๋‹ˆ๋‹ค.

      76=3 x 4 x 5 + 7 + 9

      ์ข‹์•„์š”0
  •  

    ๋ฌธ์ œ2๋ฒˆ 1~9์ค‘ 5๊ฐœ ๊ณ ๋ฅผ ๋•Œ 1,2,3,4,5๊ฐ™์ด ์„œ๋กœ๋‹ค๋ฅธ ๊ฒฝ์šฐ ๋ง๊ณ ๋„

    1 4 5 5 5์ฒ˜๋Ÿผ ์„œ๋กœ ๊ฐ™์€ ์ˆ˜๋ฅผ ์—ฌ๋Ÿฌ ๋ฒˆ ๊ณจ๋ผ๋„ ๊ดœ์ฐฎ์€๊ฑด๊ฐ€์š”?

    ๋Œ“๊ธ€ ์ž‘์„ฑํ•˜๊ธฐ ์ข‹์•„์š”0 ๋Œ“๊ธ€์ˆ˜1
    •  
      ์•„์ธ์ˆ˜ํƒ€์ธ Lv.12 2018.09.09 10:06

      ๋‹ค์‹œ ๋ณด๋‹ˆ๊นŒ, ๋ฌธ์ œ ์ž์ฒด์— 1 ๋‹ค์„ฏ ๊ฐœ๋กœ๋Š”์ด๋ผ๊ณ  ์˜ˆ๊ฐ€ ๋‚˜์™€ ์žˆ์–ด ์ค‘๋ณต๋„ ๊ฐ€๋Šฅํ•  ๊ฒƒ ๊ฐ™์•„์š”.

      ์ข‹์•„์š”0
  •  
    ์•„์ธ์ˆ˜ํƒ€์ธ Lv.12 2018.09.09 00:51

    1,2,3,4,5๋ฟ๋งŒ ์•„๋‹ˆ๋ผ 2,5,3,8,6๋“ฑ 5!=120๊ฐ€์ง€(์ค‘๋ณต์ด ๊ฐ€๋Šฅํ•˜๋‹ค๋ฉด 55=3125๊ฐ€์ง€)๋‚˜ ์‚ดํŽด๋ด์•ผ ํ•ฉ๋‹ˆ๋‹ค. ์ œ ์ƒ๊ฐ์— ์†์œผ๋กœ ๊ณ„์‚ฐํ•˜๋Š” ๊ฑด ์˜ ์•„๋‹ˆ๋ผ๊ณ  ๋ณด๋Š”๋ฐ์š”.

    ๋Œ“๊ธ€ ์ž‘์„ฑํ•˜๊ธฐ ์ข‹์•„์š”0 ๋Œ“๊ธ€์ˆ˜2
    •  
      ํ”„๋กœ๋ฒค์   Lv.1 2018.09.09 02:54

      ์ด๋ฒˆ๋ฌธ์ œ๊ฐ€ ์ ‘๊ทผ์€ ์‰ฝ์ง€๋งŒ ํ‘ธ๋Š”๊ฒŒ ์–ด๋ ต๋„ค์š”.

      ์ข‹์•„์š”0
    •  
      ํŽ˜๋ฅด๋งˆ Lv.1 2018.09.10 05:45

      55๋Š” 3125๊ฐ€์ง€์ด๋‹ˆ ํ”„๋กœ๊ทธ๋ž˜๋ฐ์ด ํ•„์š”ํ•œ ๊ฑด ๋งž๋Š” ๊ฒƒ ๊ฐ™์Šต๋‹ˆ๋‹ค..

      ์ข‹์•„์š”0
  •  
    muse Lv.6 2018.09.09 02:24

    1๋ฒˆ์— 39๋Š” ์—ฌ๋Ÿฌ ๋ฐฉ๋ฒ•์ด ์žˆ๋Š”๋ฐ 38์€ ์–ด๋ ต๋„ค์š”.

    ๋ญ”๊ฐ€ ๊ฐ€๋Šฅํ•  ๊ฒƒ ๊ฐ™์€๋ฐ...

    ๋Œ“๊ธ€ ์ž‘์„ฑํ•˜๊ธฐ ์ข‹์•„์š”0 ๋Œ“๊ธ€์ˆ˜4
    •  
      muse Lv.6 2018.09.09 02:32

      ๋ฌธ์ œ์™€๋Š” ๋ณ„๊ฐœ๋กœ ๋ฃจํŠธ๋ฅผ ์“ฐ๋ฉด ๊ฐ€๋Šฅํ•ฉ๋‹ˆ๋‹ค.

      4x(5+5)-sqrt(5-1)

      ์ข‹์•„์š”0
    •  
      ์•„์ธ์ˆ˜ํƒ€์ธ Lv.12 2018.09.09 10:32

      ์ฒ˜์Œ์—” ๋ฌธ์ œ์—์„œ '38์„ ๋งŒ๋“ค์–ด๋ผ'๋ผ๊ณ  ํ•ด์„œ ๊ฐ€๋Šฅํ• ๊ฒƒ ๊ฐ™์•˜๋”๋‹ˆ ์ง€๊ธˆ์€ ์™ ์ง€ ๊ฐ€๋Šฅํ•˜๋‹ค๋Š” ๊ฑธ ๋ณด์ด๊ธฐ๋ณด๋‹จ ๋ถˆ๊ฐ€๋Šฅํ•˜๋‹ค๋Š” ๊ฑธ ์ฆ๋ช…ํ•˜๋Š”๊ฒŒ ๋‚˜์„ ๊ฒƒ ๊ฐ™์•„์š”.(๋‚˜์ค‘์— ๋Œ“๊ธ€์ด ์–ด๋–ป๊ฒŒ ๋‹ฌ๋ฆด์ง€ ๋ชฐ๋ผ ํ™•์‹ ํ•  ์ˆœ ์—†์ง€๋งŒ)

      ์ข‹์•„์š”0
    •  
      math Lv.2 2018.09.09 19:48

      ๋ฃจํŠธ๋ฅผ ์“ฐ๋ฉด ์ด๋ ‡๊ฒŒ๋„ 38์„ ๋งŒ๋“ค ์ˆ˜ ์žˆ์ฃ .

      (5*5-5-1)*sqrt(4)

      ์ข‹์•„์š”0
    •  
      sincostan Lv.7 2018.09.12 02:03

      ์ผ๋‹จ ๊ฒฝ์šฐ์˜์ˆ˜๋ฅผ ๋‚˜๋ˆ  ์ƒ๊ฐํ•˜๋Š”๊ฑฐ ์–ด๋•Œ์š”?

      ์ข‹์•„์š”0
  •  
    sincostan Lv.7 2018.09.12 01:25

    ์•„๋ฌด๋ž˜๋„  ๊ด„ํ˜ธ๊ฐ€  ํžŒํŠธ์ธ ๊ฒƒ ๊ฐ™์€๋ฐ์š”

     

    ๋Œ“๊ธ€ ์ž‘์„ฑํ•˜๊ธฐ ์ข‹์•„์š”0 ๋Œ“๊ธ€์ˆ˜1
    •  
      sincostan Lv.7 2018.09.12 02:00

      ๋ฌธ์ œ1๋ฒˆ ๋ถˆ๊ฐ€๋Šฅํ•œ๊ฑฐ ๊ฐ™์€๋ฐ

      ์ข‹์•„์š”0
  •  
    muse Lv.6 2018.09.12 05:39

    ๊ณ„์‚ฐํ•ด ๋ณด๋‹ˆ ์ˆ˜์˜ ๋ฐฐ์น˜ ๋ฐฉ๋ฒ• 20๊ฐ€์ง€, ์—ฐ์‚ฐ๊ธฐํ˜ธ ๋ฐฐ์น˜ 4^4=256๊ฐ€์ง€, ๊ด„ํ˜ธ์˜ ๋ฐฐ์น˜ ๋ฐฉ๋ฒ• 42๊ฐ€์ง€๋กœ ์ด ์•ฝ 21๋งŒ ๊ฐ€์ง€์ž…๋‹ˆ๋‹ค.

    ์ฝ”๋”ฉ์œผ๋กœ ํ•ด๊ฒฐํ•˜๊ธฐ ์ถฉ๋ถ„ํ•œ ๋ฌธ์ œ๋„ค์š”.

    ๋Œ“๊ธ€ ์ž‘์„ฑํ•˜๊ธฐ ์ข‹์•„์š”0 ๋Œ“๊ธ€์ˆ˜4
    •  
      sincostan Lv.7 2018.09.12 07:29

      ๊ทธ๊ฒƒ์„ ์ฐพ์•„๋ด์„œ ์—†์œผ๋ฉด ๋‹ต ํ™•์ •์ด๋„ค์š”

      ์ข‹์•„์š”0
    •  
      muse Lv.6 2018.09.12 07:35

      /resources/comment/2018/09/2c77b3ae040cdda527bbde3938d81180.cpp

      (1)๋ฒˆ ๋ฌธ์ œ ์ฝ”๋”ฉ์œผ๋กœ ํ’€์—ˆ์Šต๋‹ˆ๋‹ค. ๋‹ต ์—†์Šต๋‹ˆ๋‹ค.

      ์ฝ”๋“œ๊ฐ€ ์ƒ๋‹นํžˆ ๊ธด๋ฐ, ํŒŒ์ผ๋กœ ์ฒจ๋ถ€ํ•ฉ๋‹ˆ๋‹ค.

      ์ข‹์•„์š”0
    •  
      muse Lv.6 2018.09.12 16:55

      ์ฝ”๋“œ์— ์‚ฌ์†Œํ•œ ์˜ค๋ฅ˜๊ฐ€ ์žˆ์—ˆ๋„ค์š”. ์ˆ˜์ •ํ–ˆ์Šต๋‹ˆ๋‹ค. ์—ญ์‹œ ๋‹ต ์—†์Šต๋‹ˆ๋‹ค.

      /resources/comment/2018/09/874d1003d0eec65663ef7b301ac1badf.cpp

      ์ข‹์•„์š”0
    •  

      ๋ฐฑ์ง„์–ธ ์—ฐ๊ตฌ์›๋‹˜์— ๋”ฐ๋ฅด๋ฉด, ์ฝ”๋“œ์— ์˜ค๋ฅ˜๊ฐ€ ์žˆ๋Š” ๊ฒƒ ๊ฐ™๋‹ค๊ณ  ํ•ฉ๋‹ˆ๋‹ค! ๊ณผ์—ฐ ์ •๋‹ต์ด ์žˆ๋Š” ๊ฑธ๊นŒ์š”, ์—†๋Š” ๊ฑธ๊นŒ์š”??surprise

      ์ข‹์•„์š”0
  •  
    ln(-1)=ฯ€i Lv.3 2018.09.12 07:21

    ์ฒ˜์Œ ์ˆ˜๋ฅผ x1 , y1 ์œผ๋กœ ์‹œ์ž‘ํ•˜๊ณ  ์ด ๋‘๊ฐ€์ง€๋กœ ํ•  ์ˆ˜ ์žˆ๋Š” ์—ฐ์‚ฐ์ด 6๊ฐ€์ง€๋‹ˆ๊น ์ฒ˜์Œ ์—ฐ์‚ฐํ•œ ๊ฒฐ๊ณผ๋ฅผ x2 ๋‹ค๋ฅธ ์ˆซ์ž๋ฅผ y2 ๋กœ ํ–ˆ์„ ๋•Œ ์ด๋ฅผ x4 , y4 ๊นŒ์ง€ ๊ฐ€๊ฒŒ ํ•ด์•ผํ•˜๋‹ˆ  64 ๊ฐ€์ง€๊ฐ€ ๋˜๊ณ  ์ด๋Š” 1296์ด๋‹ˆ 1296๊ฐ€์ง€ ์ด๋„ค์š”. (๋ฌธ์ œ 1)

    ๋Œ“๊ธ€ ์ž‘์„ฑํ•˜๊ธฐ ์ข‹์•„์š”0 ๋Œ“๊ธ€์ˆ˜1
    •  
      muse Lv.6 2018.09.12 07:36

      ๊ด„ํ˜ธ๊ฐ€ ์žˆ์ž–์Šต๋‹ˆ๊นŒ.

      ์ข‹์•„์š”0
  •  
    sincostan Lv.7 2018.09.12 08:06

    ๊ทธ๋Ÿผ 1๋ฒˆ๋ฌธ์ œ๋Š” ๋‹ต์ด ๋‚˜์˜จ ๊ฑด๊ฐ€์š”?

    ๋Œ“๊ธ€ ์ž‘์„ฑํ•˜๊ธฐ ์ข‹์•„์š”0 ๋Œ“๊ธ€์ˆ˜0
  •  
    muse Lv.6 2018.09.12 22:26

    ๋‚˜์˜ฌ ์ˆ˜ ์žˆ๋Š” ๊ด„ํ˜ธ์˜ ๊ฒฝ์šฐ๋ฅผ ์ €๋Š” 42๊ฐ€์ง€๋กœ ๋ถ„๋ฅ˜ํ–ˆ๊ฑฐ๋“ ์š”. (N์€ ์ˆ˜, O๋Š” ์—ฐ์‚ฐ์ž)

    ๊ฐ€์ง“์ˆ˜๊ฐ€ ๋” ์žˆ์„๊นŒ์š”?

    "NONONONON", "(NON)ONONON", "(NONON)ONON", "(NONONON)ON", "NO(NON)ONON",
    "NO(NONON)ON", "NO(NONONON)", "NONO(NON)ON", "NONO(NONON)", "NONONON(ON)",
    "((NONON)ON)ON", "((NON)ONON)ON", "(NO(NONON))ON", "(NO(NON)ON)ON",
    "(NONO(NON))ON", "((NON)ON)ONON", "(NO(NON))ONON", "(NONON)O(NON)",
    "(NON)O(NONON)", "(NON)O(NON)ON", "(NON)ONO(NON)",
    "NO((NONON)ON)", "NO((NON)ONON)", "NO(NO(NONON))", "NO(NO(NON)ON)", "NO(NONO(NON))",
    "NO((NON)ON)ON", "NO(NO(NON))ON", "NO(NON)O(NON)", "NONO((NON)ON)",
    "(((NON)ON)ON)ON", "((NO(NON))ON)ON", "((NON)O(NON))ON",
    "((NON)ON)O(NON)", "(NO((NON)ON))ON", "(NO(NO(NON)))ON", "(NO(NON))O(NON)",
    "(NON)O((NON)ON)", "NO(((NON)ON)ON)", "NO((NO(NON))ON)", "NO((NON)O(NON))",
    "NO(NO((NON)ON))"
     

     

    ๋Œ“๊ธ€ ์ž‘์„ฑํ•˜๊ธฐ ์ข‹์•„์š”0 ๋Œ“๊ธ€์ˆ˜3
    •  
      sincostan Lv.7 2018.09.13 00:27

      ์ œ ์ƒ๊ฐ๋„ ์ด๊ฒŒ ๋์ธ ๊ฑฐ ๊ฐ™๋„ค์š”

      ์ข‹์•„์š”0
    •  
      ๋ˆ„๊ตฐ๊ฐ€ Lv.1 2018.09.14 08:41

      ์—ฐ์‚ฐ๊ธฐํ˜ธ 4๊ฐ€์ง€์˜ ์—ฐ์‚ฐ์ˆœ์„œ๋งŒ ์ •ํ•˜๋ฉด ๋˜๊ธฐ ๋•Œ๋ฌธ์— 4!=24๊ฐ€์ง€๋งŒ ๋”ฐ์ ธ๋„ ๋ฉ๋‹ˆ๋‹ค.

      ์ข‹์•„์š”0
    •  
      muse Lv.6 2018.09.15 10:27

      ๊ทธ๋Ÿฐ ์ข‹์€ ๋ฐฉ๋ฒ•์ด!

      ์ข‹์•„์š”0
  •  
    ํ”„๋กœ๋ฒค์   Lv.1 2018.09.14 02:03

     

    /

    mod 5๋กœ ๋ณด์ž.

    38์€ mod 5๋กœ 3์ด๋‹ค.

    5๋ฅผ ๊ณฑํ•˜๋ฉด mod5๋กœ 0์ด ๋œ๋‹ค.

    ๋˜ํ•œ 5๋ฅผ ๋”ํ•˜๋Š” ๊ฒƒ ๋˜ํ•œ mod5๋กœ ๋ณ€ํ™”๋ฅผ ์ฃผ์ง€ ์•Š๋Š”๋‹ค.

    ๋”ฐ๋ผ์„œ 1,4๋งŒ์œผ๋กœ 3์„ ๋งŒ๋“ค์–ด์•ผํ•œ๋‹ค.

    ์ด๋•Œ 1,4,5,5,5๋กœ 3 (mod 5)๋ฅผ ๋งŒ๋“ค ์ˆ˜ ์žˆ๋Š” ๊ฒƒ์„ ๋‘ ์ข…๋ฅ˜๋กœ ๋‚˜๋ˆ„์–ด ํ™•์ธํ•ด๋ณด์ž

    1) 3์„ ๋งŒ๋“ค๋•Œ 5๋ฅผ ์‚ฌ์šฉํ•˜์ง€ ์•Š์„ ๊ฒฝ์šฐ

    (4-1)์ด ์œ ์ผํ•˜๋‹ค.

    3,5,5,5๋กœ 38์„ ๋งŒ๋“ค ์ˆ˜ ์—†๋‹ค.

     

    2) 3์„ ๋งŒ๋“ค๋•Œ 5๋ฅผ ์‚ฌ์šฉํ•  ๊ฒฝ์šฐ

     

    1,4๋ฅผ (5-4)ํ˜น์€ (5-1)๋กœ ์‚ฌ์šฉํ•˜๊ฑฐ๋‚˜

    5์— 1,4๋ฅผ ๋”ํ•œ ํ›„ ๊ณฑํ•ด์•ผ ์˜๋ฏธ๊ฐ€ ์žˆ๋‹ค.

     

    2-a-1) (5-4)์‚ฌ์šฉ

    1,1,5,5 ์‚ฌ์šฉํ•˜๋Š” ๊ฒƒ๊ณผ ๋™์ผ.

    38์€ ๋งŒ๋“ค ์ˆ˜ ์—†๋‹ค.

     

    2-a-2) (5-1)์‚ฌ์šฉ

    4,4,5,5 ์‚ฌ์šฉํ•˜๋Š” ๊ฒƒ๊ณผ ๋™์ผ

    38์€ ๋งŒ๋“ค ์ˆ˜ ์—†๋‹ค.

     

    2-a-3) (5-1), (5-4) ์‚ฌ์šฉ

    1)๊ณผ ๋™์ผ

     

    2-b-1) (5-4)์™€ ๊ณฑํ•  ๋•Œ

    1,5,5 ์‚ฌ์šฉํ•˜๋Š” ๊ฒƒ๊ณผ ๋™์ผ

    38์€ ๋งŒ๋“ค ์ˆ˜ ์—†๋‹ค.

     

    2-b-2) (5+4)์™€ ๊ณฑํ• ๋•Œ

    1,9,5,5 ์‚ฌ์šฉํ•˜๋Š” ๊ฒƒ๊ณผ ๋™์ผ (9๋Š” ๊ณฑํ•˜๋Š” ์šฉ๋„)

    38์€ ๋งŒ๋“ค ์ˆ˜ ์—†๋‹ค.

     

    ๋”ฐ๋ผ์„œ ๋ถˆ๊ฐ€๋Šฅํ•˜๋‹ค.

    /

    ์ฒ˜์Œ ์ด์šฉํ•œ ๋ฐฉ์‹์„ ์‘์šฉํ•ด ๋ณด์•˜์Šต๋‹ˆ๋‹ค.

     

    ๋‚˜์ค‘์— ์‹œ๊ฐ„๋‚ ๋•Œ ์™„์„ฑ์‹œํ‚ค๊ฒ ์Šต๋‹ˆ๋‹ค.

    ์˜ค๋ฅ˜ ์ง€์ ํ•ด ์ฃผ์‹œ๋ฉด ๊ฐ์‚ฌํ•˜๊ฒ ์Šต๋‹ˆ๋‹ค.

    ๋Œ“๊ธ€ ์ž‘์„ฑํ•˜๊ธฐ ์ข‹์•„์š”0 ๋Œ“๊ธ€์ˆ˜0
  •  
    ์„œ๋Ÿฌ์„œ์ฐจ Lv.1 2018.09.14 04:17

    nCr๋„ ๊ด„ํ˜ธ๋ผ๊ณ  ์น˜๋‚˜์š”?

    ๋Œ“๊ธ€ ์ž‘์„ฑํ•˜๊ธฐ ์ข‹์•„์š”0 ๋Œ“๊ธ€์ˆ˜0
  •  
    ๋ˆ„๊ตฐ๊ฐ€ Lv.1 2018.09.14 08:37

    ๋ฌธ์ œ1๋ฒˆ ๋‹ต

    (4-(1/5))*(5+5)

    ์Šคํฌ๋ž˜์น˜๋กœ ๋ชจ๋“  ๊ฒฝ์šฐ์˜์ˆ˜๋ฅผ ํ™•์ธํ•˜์—ฌ ์ฐพ์•˜์Šต๋‹ˆ๋‹ค.

    https://scratch.mit.edu/projects/246053946/

    ๋Œ“๊ธ€ ์ž‘์„ฑํ•˜๊ธฐ ์ข‹์•„์š”1 ๋Œ“๊ธ€์ˆ˜5
    •  

      ๋ˆ„๊ตฐ๊ฐ€ ์นœ๊ตฌ ์ •๋‹ค์•„์•„์•„์•„์•„์•„์••!surprise ๋ถ€๋ถ„ํ•ด๊ฒฐ ๋”ฑ์ง€ ๋ถ€์ฐฉ์ž…๋‹ˆ๋‹ค!

      ์ข‹์•„์š”0
    •  
      ํ”„๋กœ๋ฒค์   Lv.1 2018.09.15 05:58

      ์™€์šฐ! ์ด๋Ÿฐ ๋ฐฉ๋ฒ•์ด ์žˆ์—ˆ๊ตฐ์š”!

      ๋‹ต์ด ์—†์„๊ฒƒ ๊ฐ™์•˜๋Š”๋ฐ, ์ด๋Ÿฐ ๋‹ต์ด ์žˆ์—ˆ๋„ค์š”.

      ๋†€๋ž์Šต๋‹ˆ๋‹ค!

      ์ข‹์•„์š”0
    •  
      muse Lv.6 2018.09.15 10:26

      ๋ช‡ ์ค„๋งŒ ๊ณ ์น˜๋‹ˆ ์ด ๋„ค ๊ฐ€์ง€ ๋‚˜์˜ค๋„ค์š”.

       

      (4-1/5)*(5+5): 38.00000
      (5+5)*(4-1/5): 38.00000
      (4-(1/5))*(5+5): 38.00000
      (5+5)*(4-(1/5)): 38.00000

       

      ๋ณด๋‹ˆ๊นŒ ์•„์˜ˆ ์†Œ์ˆ˜ ๊ณ„์‚ฐ์ด ์•ˆ ๋˜๊ณ  ์žˆ์—ˆ๋„ค์š”. ์•„์‰ฌ์›Œ๋ผ... (๊ทธ๋ฆฌ๊ณ  ๊ด„ํ˜ธ ์Œ ํ•œ ๊ฐ€์ง€ ๋” ์žˆ์—ˆ๋„ค์š”.)

      ์ข‹์•„์š”0
    •  
      ๊น€์šฐํ˜„ ๊ธฐ์ž Lv.5 2018.09.20 19:43 ๋น„๋ฐ€๋Œ“๊ธ€
      ๋น„๋ฐ€ ๋Œ“๊ธ€์ด ๋“ฑ๋ก ๋˜์—ˆ์Šต๋‹ˆ๋‹ค!
    •  
      ๋ˆ„๊ตฐ๊ฐ€ Lv.1 2018.09.23 10:17 ๋น„๋ฐ€๋Œ“๊ธ€
      ๋น„๋ฐ€ ๋Œ“๊ธ€์ด ๋“ฑ๋ก ๋˜์—ˆ์Šต๋‹ˆ๋‹ค!
  •  
    ๋ˆ„๊ตฐ๊ฐ€ Lv.1 2018.09.14 09:40

    2๋ฒˆ์˜ ๋ชจ๋“  ๊ฒฝ์šฐ๋ฅผ ๊ณ„์‚ฐ ํ•ด๋ณผ ์ˆ˜ ์žˆ๋Š” ์ฝ”๋“œ๋Š” ์žˆ์œผ๋‚˜ ์ตœ์ ํ™”๋Š” ์ „ํ˜€ ๋˜์–ด์žˆ์ง€ ์•Š์•„ ๋‹ค ๊ณ„์‚ฐ ํ•˜๋ ค๋ฉด 100์‹œ๊ฐ„ ์ •๋„( ์†Œ์š”๋  ๊ฒƒ ๊ฐ™์Šต๋‹ˆ๋‹ค...........(์ˆซ์ž ๋ฐฐ์—ด ํ•˜๋‚˜๋‹น 6์ดˆ,์ค‘๋ณต๋ฐฐ์—ด์ˆ˜9^5,(6×9^5)/3600=~=100)

    https://scratch.mit.edu/projects/246059976/

    ๋Œ“๊ธ€ ์ž‘์„ฑํ•˜๊ธฐ ์ข‹์•„์š”0 ๋Œ“๊ธ€์ˆ˜2
    •  

      ๋ˆ„๊ตฐ๊ฐ€๊ฐ€ ์ด๊ฑธ c๋‚˜ python์œผ๋กœ ๋ฐ”๊ฟ”์ฃผ์‹œ๋ฉด ์ข‹์„ ๊ฒƒ ๊ฐ™์€๋ฐ์šฅ. ์ €๋Š” ์Šคํฌ๋ž˜์น˜ ์ฝ”๋“œ๋ฅผ ์ดํ•ด ๋ชปํ•ด์„œ ๋ชปํ•˜๊ฒ ์Šต๋‹ˆ๋‹ค...

      ์ข‹์•„์š”0
    •  
      ๋ˆ„๊ตฐ๊ฐ€ Lv.1 2018.09.17 10:49

      ๊ฐ™์€ ์ˆซ์ž ์กฐํ•ฉ์— ๋‹ค๋ฅธ ๋ฐฐ์—ด์ด ์žˆ๋‹ค๋Š” ๊ฒƒ์„ ๋นผ๋จน์—ˆ๋„ค์š”... ์ˆซ์ž ์ˆœ์„œ๊ฐ€ ์ •ํ•ด์ ธ์žˆ์„ ๋•Œ๋Š” 78262๋กœ 80๊นŒ์ง€ ๋งŒ๋“œ๋Š” ๊ฒฝ์šฐ๊ฐ€ ๊ฐ€์žฅ ๊ธด ๊ฒฝ์šฐ์ž…๋‹ˆ๋‹ค.

      ์ข‹์•„์š”0
  •  
    ์ˆ˜๋Œ์ด Lv.4 2018.09.15 12:30

    2๋ฒˆ๋ฌธ์ œ cํ”„๋กœ๊ทธ๋ž˜๋ฐ์„ ์ด์šฉํ•œ ํ’€์ด

    ๋จผ์ € ๊ณ ๋ คํ•ด์•ผ ํ•  ์ : ์ˆซ์ž ๋‹ค์„ฏ ๊ฐœ์˜ ์กฐํ•ฉ (a,b,c,d,e)๋Š” ์ผ๋ฐ˜์„ฑ์„ ์žƒ์ง€ ์•Š๊ณ  a<=b<=c<=d<=e๋กœ ๊ฐ€์ •ํ•ด๋„ ๋œ๋‹ค. (<=๋Š” ๊ฐ™๊ฑฐ๋‚˜ ํฌ๋‹ค๋ฅผ ์˜๋ฏธํ•œ๋‹ค)

    ๊ทธ๋ฆฌ๊ณ  (a,b,c,d,e)๋กœ ๋งŒ๋“ค ์ˆ˜ ์žˆ๋Š” ์ˆ˜๋ฅผ ์ฐพ์„ ๋•Œ (a,b,c,d,e)์˜ ์ˆœ์—ด์— ๋Œ€ํ•ด์„œ ๊ณ ๋ คํ•˜๋ฏ€๋กœ (์ฆ‰, (1,1,1,1,2)์˜ ์ˆœ์—ด์€ 2๊ฐ€์ง€, (1,3,4,5,7)์˜ ์ˆœ์—ด์€ 120๊ฐ€์ง€..)

    a,b,c,d,e๊ฐ€ ๊ฐ๊ฐ 1์ด์ƒ 9์ดํ•˜์ธ 9^5=59,049๊ฐ€์ง€์˜ ๊ฒฝ์šฐ๋Š” ์ •ํ™•ํžˆ ํ•œ ๋ฒˆ ์ด ์‹œํ–‰์— ๋“ฑ์žฅํ•œ๋‹ค.

    1) ๋”ฐ๋ผ์„œ ์ˆœ์„œ๊ฐ€ ์ •๋ ฌ๋˜์–ด ์žˆ๋Š” (a,b,c,d,e)์˜ ์ˆœ์—ด์˜ ๊ฐœ์ˆ˜์˜ ์ดํ•ฉ์€ 59,049๊ฐ€์ง€์ด๋‹ค.

    2) ๊ทธ๋ฆฌ๊ณ  ์ˆ˜์™€ ์ˆ˜ ์‚ฌ์ด 4^4=256๊ฐ€์ง€์˜ ์—ฐ์‚ฐ๊ธฐํ˜ธ๋ฅผ ๋„ฃ์„ ์ˆ˜ ์žˆ๊ณ ,

    3) ๊ด„ํ˜ธ๋ฅผ ์ด์šฉํ•œ ์—ฐ์‚ฐ์ˆœ์„œ์˜ ์กฐ์ •์€ ๋‹ค์Œ๊ณผ ๊ฐ™์ด ์ƒ๊ฐํ•ด๋„ ๋œ๋‹ค. ํ•œ ๋ฒˆ์˜ ์—ฐ์‚ฐ์€ ์ธ์ ‘ํ•œ ๋‘ ์ˆ˜๋ฅผ ๋ฌถ์–ด์„œ ํ•˜๋‚˜๋กœ ๋งŒ๋“œ๋Š” ๊ฒƒ์ด๋‹ค. ์ฆ‰ 2+3*7+4-3์—์„œ 7+4์— ์—ฐ์‚ฐ์„ ์‹คํ–‰ํ•˜๋ฉด 2+3*11-3์ด ๋˜๋Š” ๊ฒƒ์ด๋‹ค. ๋„ค ๋ฒˆ์˜ ์—ฐ์‚ฐ์„ ํ†ตํ•˜์—ฌ ๋‹ค์„ฏ ๊ฐœ์˜ ์ˆ˜๋ฅผ ํ•˜๋‚˜๋กœ ๋งŒ๋“ค ์ˆ˜ ์žˆ๋‹ค. (๊ทธ๋ž˜์„œ ์—ฐ์‚ฐ๊ธฐํ˜ธ๊ฐ€ ์ด 4๊ฐœ)  4๊ฐœ์˜ ์—ฐ์‚ฐ์ž๋ฅผ ์–ด๋–ค ์ˆœ์„œ๋กœ ์‹คํ–‰ํ•  ๊ฒƒ์ธ์ง€ ๊ฒฐ์ •ํ•˜๋Š” ๊ฒƒ์€ 4!=24๊ฐ€์ง€๊ฐ€ ์กด์žฌํ•œ๋‹ค. ๊ทธ๋ฆฌ๊ณ  ๊ทธ๊ฒƒ์€ ๊ด„ํ˜ธ๋ฅผ ํ†ตํ•˜์—ฌ ๋ฌด์กฐ๊ฑด ๊ตฌํ˜„ ๊ฐ€๋Šฅํ•˜๋‹ค. ์˜ˆ๋ฅผ ๋“ค์–ด์„œ, 1+2-3*4/5์—์„œ -,*,+,/์ˆœ์„œ๋กœ ์—ฐ์‚ฐ์„ ์ง„ํ–‰ํ•œ๋‹ค๋ฉด ๊ทธ ์ˆœ์„œ๋Œ€๋กœ ๊ด„ํ˜ธ๋ฅผ ๋ฌถ์–ด ((1+((2-3)*4))/5)๋ผ๋Š” ์‹์ด ๋˜๋Š” ๊ฒƒ์ด๋‹ค.

    ๋”ฐ๋ผ์„œ ์ด ๊ฐ€์ง€์ˆ˜๋Š” 362,797,056๊ฐ€์ง€์ด๊ณ , ๊ฐ ๊ฐ€์ง€์ˆ˜๋งˆ๋‹ค ์•„๋ž˜์˜ ์ฝ”๋“œ์— ์˜ํ•˜๋ฉด ํ”„๋กœ๊ทธ๋žจ ๋‚ด 16~24ํšŒ์˜ ์—ฐ์‚ฐ์ด ํ•„์š”ํ•˜๋‹ค. ๋”ฐ๋ผ์„œ ์ด ์—ฐ์‚ฐํšŸ์ˆ˜๋Š” ์•ฝ 72์–ต์ด๋ฏ€๋กœ ์˜ˆ์ƒ ์†Œ์š” ์‹œ๊ฐ„์€ ์•ฝ 72์ดˆ๋ผ๊ณ  ํ•  ์ˆ˜ ์žˆ๋‹ค.

     

    #include <stdio.h>
    #include <algorithm>
    using namespace std;

    //ํ”„๋กœ๊ทธ๋žจ์˜ ์‹œ์ž‘. next_permutation์ด๋ผ๋Š” ํŠน๋ณ„ํ•œ ํ•จ์ˆ˜๋ฅผ ์‚ฌ์šฉํ•˜๊ธฐ ์œ„ํ•ด์„œ #include <algorithm>์„ ์„ ์–ธํ•ด์ค€๋‹ค.

    struct fraction{
        int u;
        int d;
    };

    //์†Œ์ˆ˜๋ฅผ ํ‘œํ˜„ํ•˜๋Š” float๋ฅผ ์ด์šฉํ•  ๊ฒฝ์šฐ ๋‘ ๋ณ€์ˆ˜๊ฐ€ ๊ฐ™์€์ง€ ํŒ๋ณ„ํ•˜๋Š”๋ฐ ์žˆ์–ด์„œ ์˜ค๋ฅ˜ ์œ„ํ—˜์ด ์žˆ์œผ๋ฏ€๋กœ(๋ฐ˜์˜ฌ๋ฆผ) ๋ถ„์ˆ˜๋ฅผ ๊ตฌํ˜„ํ•˜๋Š” ๊ตฌ์กฐ์ฒด๋ฅผ ์“ฐ๋„๋ก ํ•œ๋‹ค. ๊ตฌ์กฐ์ฒด๋ž€, ํ”„๋กœ๊ทธ๋žจ ์ž‘์„ฑ์ž๊ฐ€ ์›ํ•˜๋Š” ํ˜•ํƒœ์˜ ๋ณ€์ˆ˜๋ฅผ ๋งŒ๋“ค์–ด ์‚ฌ์šฉํ•  ์ˆ˜ ์žˆ๋Š” ๊ฒƒ์œผ๋กœ, ์—ฌ๊ธฐ์„œ๋Š” ๋ถ„๋ชจ๋ฅผ ํ‘œํ˜„ํ•˜๋Š” ์ •์ˆ˜ u, ๋ถ„์ž๋ฅผ ํ‘œํ˜„ํ•˜๋Š” ์ •์ˆ˜ d๋ฅผ ๋ฌถ์–ด์„œ ํ•˜๋‚˜์˜ ๋ณ€์ˆ˜๋กœ ์‚ฌ์šฉํ•œ๋‹ค.

    struct fraction cal_table[5];
    int oper_table[4];
    int oper_order[4];
    bool checklist[100000];

    //ํ”„๋กœ๊ทธ๋žจ์—์„œ ์‚ฌ์šฉํ•  ์ „์—ญ๋ณ€์ˆ˜์ด๋‹ค. cal_table์€ ๊ณ„์‚ฐ์ด ์ด๋ฃจ์–ด์ง€๋Š” ๋ฐฐ์—ด์ด๊ณ , ์ฒ˜์Œ์—๋Š” ๊ณจ๋ผ์ง„ 5๊ฐœ์˜ ์ˆ˜๊ฐ€ ๋“ค์–ด๊ฐˆ ๊ฒƒ์ด๋‹ค.(๋ถ„๋ชจ๊ฐ€ 1์ธ, ์ฆ‰ ์ž์—ฐ์ˆ˜์˜ ํ˜•ํƒœ๋กœ) oper_table์€ 5๊ฐœ์˜ ์ˆ˜ ์‚ฌ์ด์‚ฌ์ด์— ๋“ค์–ด๊ฐˆ ์‚ฌ์น™์—ฐ์‚ฐ์„ ์ €์žฅํ•˜๋Š” ๋ฐฐ์—ด์ด๋‹ค. 0์€ +, 1์€ -, 2๋Š” *, 3์€ /๋ฅผ ์˜๋ฏธํ•œ๋‹ค. oper_order์€ 4๋ฒˆ์˜ ์—ฐ์‚ฐ์—์„œ ์—ฐ์‚ฐ์ˆœ์„œ๋ฅผ ์ €์žฅํ•˜๋Š” ๋ฐฐ์—ด์ด๋‹ค. 24๊ฐ€์ง€ ๊ฒฝ์šฐ๊ฐ€ ์กด์žฌํ•œ๋‹ค. checklist๋Š” 5๊ฐœ์˜ ์ˆ˜๋ฅผ ๊ณ ๋ฅด๋Š” ๊ฐ ๊ฒฝ์šฐ์— ๋Œ€ํ•ด์„œ ๋งŒ๋“ค ์ˆ˜ ์žˆ๋Š” ์ˆ˜(1)์™€ ๋งŒ๋“ค์ˆ˜ ์—†๋Š” ์ˆ˜(0)์„ ๊ธฐ๋กํ•œ๋‹ค. ์ฒ˜์Œ์—๋Š” 0์œผ๋กœ ์ดˆ๊ธฐํ™”๋œ๋‹ค.

    struct fraction add(fraction a,fraction b){
        fraction x;
        x.d=a.d*b.d;
        x.u=a.u*b.d+a.d*b.u;
        return x;
    }
    struct fraction sub(fraction a,fraction b){
        fraction x;
        x.d=a.d*b.d;
        x.u=a.u*b.d-a.d*b.u;
        return x;
    }
    struct fraction mul(fraction a,fraction b){
        fraction x;
        x.d=a.d*b.d;
        x.u=a.u*b.u;
        return x; 
    }
    struct fraction div(fraction a,fraction b){
        fraction x;
        x.d=a.d*b.u;
        x.u=a.u*b.d;
        if(b.d==0) x.d=0;
        return x; 
    }

    //๋ถ„์ˆ˜๋“ค ์‚ฌ์ด์˜ ์‚ฌ์น™์—ฐ์‚ฐ์„ ์ง„ํ–‰ํ•˜๋Š” ํ•จ์ˆ˜์ด๋‹ค. ๋‚˜๋ˆ—์…ˆ ์—ฐ์‚ฐ์˜ if(b.d==0) x.d=0;๋ฅผ ๋ˆˆ์—ฌ๊ฒจ ๋ด์•ผ ํ•˜๋Š”๋ฐ, ์ด ์กฐ๊ฑด์ด ์ถ”๊ฐ€๋จ์œผ๋กœ์จ ๋งŒ์•ฝ ๋‘ ๋ถ„์ˆ˜์ค‘ ํ•˜๋‚˜์˜ ๋ถ„๋ชจ๊ฐ€ 0์ด๋ผ๋ฉด, ์—ฐ์‚ฐ ๊ฒฐ๊ณผ์˜ ๋ถ„๋ชจ๋„ ํ•ญ์ƒ 0์ด ๋˜์–ด, ์ตœ์ข… ๊ฒฐ๊ณผ์—์„œ ๋ถ„๋ชจ๊ฐ€ 0์ธ์ง€ ์ฒดํฌํ•˜์—ฌ ๋ถˆ๊ฐ€๋Šฅํ•œ ์—ฐ์‚ฐ์„ ํŒ๋ณ„ํ•  ์ˆ˜ ์žˆ๋‹ค. (๋„์ค‘์— 0์œผ๋กœ ๋‚˜๋ˆ„์—ˆ๋Š”์ง€)

    int gcd(int a,int b){
        if(a*b==0) return a+b;
        if(a>b) return gcd(a%b,b);
        else return gcd(a,b%a);
    }

    //๋‘ ์ž์—ฐ์ˆ˜ ์‚ฌ์ด์˜ ์ตœ๋Œ€๊ณต์•ฝ์ˆ˜๋ฅผ ๊ตฌํ•˜๋Š” ํ•จ์ˆ˜์ด๋‹ค. ์œ ํด๋ฆฌ๋“œ ํ˜ธ์ œ๋ฒ•์„ ์ด์šฉํ•˜์˜€๋‹ค.

    struct fraction rev(fraction a){
        fraction x;
        int G;
        x.u=a.u>0? a.u:-a.u;
        x.d=a.d>0? a.d:-a.d;
        if(x.d*x.u!=0){
            G=gcd(x.u,x.d);
            x.u/=G;
            x.d/=G;
        }
        if(a.u*a.d<0) x.u=0-x.u;
        return x;
    }

    //์–ด๋–ค ๋ถ„์ˆ˜๋ฅผ ์•ฝ๋ถ„ํ•ด์ฃผ๋Š” ํ•จ์ˆ˜์ด๋‹ค. if(a.u*a.d<0) x.u=0-x.u;๋ฅผ ์ด์šฉํ•˜์—ฌ ์Œ์ˆ˜์ด๋ฉด ๋ถ„์ž๋ฅผ ์Œ์ˆ˜๋กœ ํ‘œ๊ธฐํ•˜์—ฌ ๊ทธ ์‚ฌ์‹ค์„ ์•Œ ์ˆ˜ ์žˆ๊ฒŒ ํ•˜์˜€๋‹ค.

    void calculate(int pos){
        int i;
        if(oper_table[pos]==0) cal_table[pos]=(add(cal_table[pos],cal_table[pos+1]));
        if(oper_table[pos]==1) cal_table[pos]=(sub(cal_table[pos],cal_table[pos+1]));
        if(oper_table[pos]==2) cal_table[pos]=(mul(cal_table[pos],cal_table[pos+1]));
        if(oper_table[pos]==3) cal_table[pos]=(div(cal_table[pos],cal_table[pos+1]));
        
        for(i=pos+1; i<4; i++) cal_table[i]=cal_table[i+1];
        for(i=pos; i<3; i++) oper_table[i]=oper_table[i+1];
    }

    //์ด๋ฒˆ์— ์—ฐ์‚ฐํ•  ์—ฐ์‚ฐ์ž์˜ ์ˆœ์„œ๋ฅผ ์ž…๋ ฅํ•˜๋ฉด cal_table ์•ˆ์—์„œ ํ•ด๋‹นํ•˜๋Š” ์—ฐ์‚ฐ์ž๋ฅผ ์‹คํ–‰ํ•˜์—ฌ ์—ฐ์‚ฐ์ž ์–‘ ์˜†์˜ ๋‘ ์ˆ˜๋ฅผ ํ•˜๋‚˜๋กœ ๋ฌถ์–ด์ค€๋‹ค. ์‹คํ–‰ํ•œ ์—ฐ์‚ฐ์ž๋Š” ์‚ฌ๋ผ์ง„๋‹ค.

    int main(){
        int number[5],oper[4],i,isBreak,MAX_value=-1,MAX_num[5],announce=0;

    //๋ฉ”์ธํ•จ์ˆ˜๊ฐ€ ์‹œ์ž‘๋œ๋‹ค. ๋ฐ˜๋ณต๋ฌธ์„ ๋Œ๋ฆฌ๊ธฐ ์œ„ํ•œ number[5],oper[4],i, ๋ฐ˜๋ณต๋ฌธ์„ ๋น ์ ธ๋‚˜์˜ค๊ธฐ ์œ„ํ•œ isBreak, ์ตœ๋Œ“๊ฐ’์„ ์ €์žฅํ•˜๊ธฐ ์œ„ํ•œ MAX_value=-1,MAX_num[5], ๊ธด ํ”„๋กœ๊ทธ๋žจ ๋Ÿฐ๋‹ํƒ€์ž„ ๋™์•ˆ ํ˜„์žฌ ์ง„ํ–‰๋„๋ฅผ ์•Œ๋ ค์ค„ announce=0์„ ์„ ์–ธํ•œ๋‹ค.

        for(number[0]=1; number[0]<=9; number[0]++)
        for(number[1]=1; number[1]<=9; number[1]++)
        for(number[2]=1; number[2]<=9; number[2]++)
        for(number[3]=1; number[3]<=9; number[3]++)
        for(number[4]=1; number[4]<=9; number[4]++)
        if(number[0]<=number[1] && number[1]<=number[2] && number[2]<=number[3] && number[3]<=number[4])
        {

    //9๊ฐœ ์ค‘ ๋‹ค์„ฏ ๊ฐœ์˜ ์ˆ˜๋ฅผ ๊ณ ๋ฅด๋Š” ๋ชจ๋“  ๊ฒฝ์šฐ์— ๋Œ€ํ•ด์„œ a<=b<=c<=d<=e์ธ ๊ฒฝ์šฐ๋งŒ ๊ณ ๋ คํ•œ๋‹ค.
            for(i=0; i<100000; i++) checklist[i]=0;
            while(1){
                for(oper[0]=0; oper[0]<4; oper[0]++)
                for(oper[1]=0; oper[1]<4; oper[1]++)
                for(oper[2]=0; oper[2]<4; oper[2]++)
                for(oper[3]=0; oper[3]<4; oper[3]++)
                for(oper_order[0]=0; oper_order[0]<4; oper_order[0]++)
                for(oper_order[1]=0; oper_order[1]<3; oper_order[1]++)
                for(oper_order[2]=0; oper_order[2]<2; oper_order[2]++)
                for(oper_order[3]=0; oper_order[3]<1; oper_order[3]++)

    //์—ฐ์‚ฐ์ž์™€ ์—ฐ์‚ฐ์ˆœ์„œ๋กœ ๊ฐ€๋Šฅํ•œ ๋ชจ๋“  ๊ฒฝ์šฐ์— ๋Œ€ํ•ด์„œ ๋ฐ˜๋ณตํ•œ๋‹ค.
                {
                    for(i=0; i<5; i++) {
                        cal_table[i].u=number[i];
                        cal_table[i].d=1;
                    }
                    for(i=0; i<4; i++) {
                        oper_table[i]=oper[i];
                    }

    //cal_table๊ณผ oper_table์— ํ˜„์žฌ ๊ฒฝ์šฐ๋ฅผ ๋ณต์‚ฌํ•œ๋‹ค.
                    for(i=0; i<4; i++) calculate(oper_order[i]);
                    cal_table[0]=rev(cal_table[0]);

    //์—ฐ์‚ฐ์„ ์‹คํ–‰ํ•˜์—ฌ cal_table[0]์— ๊ทธ ๊ฒฐ๊ณผ๋ฅผ ์•ฝ๋ถ„๋œ ํ˜•ํƒœ๋กœ ์ €์žฅํ•œ๋‹ค.
                    if(cal_table[0].d==1 && cal_table[0].u>0) checklist[cal_table[0].u]=1;

    //๋ถ„๋ชจ๊ฐ€ 1์ด๊ณ (์ •์ˆ˜์ด๊ณ ) ๋ถ„์ž๊ฐ€ ์–‘์ˆ˜์ด๋ฉด ํ•ด๋‹นํ•˜๋Š” ์ž์—ฐ์ˆ˜๋Š” ๋งŒ๋“ค ์ˆ˜ ์žˆ์œผ๋ฏ€๋กœ checklist๋ฅผ 1๋กœ ๋งŒ๋“ ๋‹ค.
                }
                announce++;
                if(announce%100==0) printf("%d/59049 has finished\n",announce);

    //์ง„ํ–‰๋„๋ฅผ ํ‘œ์‹œํ•˜๋Š” ์ฝ”๋“œ์ด๋‹ค.
                
                isBreak=next_permutation(number,number+5);
                if(isBreak==0) break;

    //๊ณ ๋ฅธ ๋‹ค์„ฏ ๊ฐ€์ง€ ์ˆ˜๋ฅผ ๋‚˜์—ดํ•˜๋Š” ์ˆœ์—ด์˜ ๊ฒฝ์šฐ๋Š” next_permutation์ด๋ผ๋Š” ํŠน๋ณ„ํ•œ ํ•จ์ˆ˜๋ฅผ ์‚ฌ์šฉํ•œ๋‹ค. ์ด ํ•จ์ˆ˜๋ฅผ ํ˜ธ์ถœํ•˜๋ฉด ์ฃผ์–ด์ง„ ๋ฐฐ์—ด์—์„œ ์‚ฌ์ „์ˆœ์œผ๋กœ ๋ฐ”๋กœ ๋‹ค์Œ์— ์žˆ๋Š” ์ˆœ์—ด๋กœ ์ „ํ™˜ํ•ด์ค€๋‹ค. ์ฆ‰ 1,2,3,4,5์—์„œ ์ด ํ•จ์ˆ˜๋ฅผ ์‚ฌ์šฉํ•˜๋ฉด 1,2,3,5,4๊ฐ€ ๋˜๊ณ , ํ•œ๋ฒˆ ๋” ํ˜ธ์ถœํ•˜๋ฉด 1,2,4,3,5๊ฐ€ ๋œ๋‹ค. ๊ทธ๋ฆฌ๊ณ , ์ด ํ•จ์ˆ˜๋Š” 1 ๋˜๋Š” 0์„ ๋ฐ˜ํ™˜ํ•˜๋Š”๋ฐ, ๋Œ€๋ถ€๋ถ„์˜ ๊ฒฝ์šฐ๋Š” 1์„ ๋ฐ˜ํ™˜ํ•˜์ง€๋งŒ, 5,4,3,2,1์—์„œ 1,2,3,4,5๋กœ (์ฒ˜์Œ์œผ๋กœ) ๋Œ์•„๊ฐˆ ๋•Œ๋งŒ 0์„ ๋ฐ˜ํ™˜ํ•œ๋‹ค. ์ด๋ฅผ ์ด์šฉํ•˜์—ฌ ๋ฐ˜๋ณต๋ฌธ์„ ํƒˆ์ถœํ•  ์ˆ˜ ์žˆ๋‹ค.
            }
            
            for(i=0; i<100000; i++) if(checklist[i+1]==0) break;
            if(i>MAX_value){
                MAX_value=i;
                MAX_num[0]=number[0];
                MAX_num[1]=number[1];
                MAX_num[2]=number[2];
                MAX_num[3]=number[3];
                MAX_num[4]=number[4];
            }

    //๋งŒ๋“ค์ˆ˜ ์žˆ๋Š” 1๋ถ€ํ„ฐ ์—ฐ์†ํ•œ ์ˆ˜์˜ ์ตœ๋Œ“๊ฐ’์„ ๊ณ„์‚ฐํ•˜๊ณ  ๊ฐฑ์‹ ํ•œ๋‹ค.
        }
        
        printf("The Best Case: %d,%d,%d,%d,%d\n Can make number 1~%d",MAX_num[0],MAX_num[1],MAX_num[2],MAX_num[3],MAX_num[4],MAX_value);

    //๊ฐ€๋Šฅํ•œ ์ตœ์„ ์˜ ๊ฒฝ์šฐ๋ฅผ ์ถœ๋ ฅํ•œ๋‹ค.
    }

     

    ์ด ์ฝ”๋“œ๋ฅผ ์‹คํ–‰ํ•œ ๊ฒฐ๊ณผ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™๋‹ค.

    ์†Œ์š”์‹œ๊ฐ„ 71.77์ดˆ

    4,5,6,7,8์„ ๊ณจ๋ž์„ ๋•Œ 1~192์˜ ๋ชจ๋“  ์ˆ˜๋ฅผ ๋งŒ๋“ค ์ˆ˜ ์žˆ๋‹ค!

     

    ๊ทธ๋ ‡๋‹ค๋ฉด ์–ด๋–ป๊ฒŒ ๋งŒ๋“ค ์ˆ˜ ์žˆ์„๊นŒ?

    ์œ„ ์ฝ”๋“œ๋ฅผ ์ˆ˜์ •ํ•˜์ž. ์ „์—ญ๋ณ€์ˆ˜ checklist๋ฅผ int checklist[194][14]={0,};์™€ ๊ฐ™์ด ์ˆ˜์ •ํ•œ๋‹ค. ์ด์ œ ์ด ์ฒดํฌ๋ฆฌ์ŠคํŠธ๋Š” 1~193์˜ ๊ฐ ๊ฒฝ์šฐ์— ๋Œ€ํ•ด ๋งŒ๋“œ๋Š” ๋ฐฉ๋ฒ•์„ ์ €์žฅํ•  ๊ฒƒ์ด๋‹ค. (193์—๋Š” ์ €์žฅ๋˜์ง€ ์•Š์„ ๊ฒƒ์ด๋‹ค.)

    ๋ฉ”์ธํ•จ์ˆ˜๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์ด ์ˆ˜์ •ํ•œ๋‹ค.

    int main(){
        int number[5]={4,5,6,7,8},oper[4],i,j,k,isBreak,canvas[60],group[5][2],order;

    //๊ณ ๋ฅธ ์ˆซ์ž 4,5,6,7,8์„ number๋ฐฐ์—ด์— ์ฒ˜์Œ๋ถ€ํ„ฐ ๋„ฃ์–ด์ค€๋‹ค. ๋ฐ˜๋ณต๋ฌธ์„ ์œ„ํ•œ ๋ณ€์ˆ˜ j,k๋ฅผ ์ถ”๊ฐ€ํ•ด์ฃผ๊ณ , oper[]์™€ oper_order[]์˜ ์ •๋ณด๋ฅผ ์ˆ˜์‹์œผ๋กœ ๋ณ€ํ™˜ํ•˜๊ธฐ ์œ„ํ•œ ์บ”๋ฒ„์Šค(๊ทธ๋ฆผํŒ) ๋ฐฐ์—ด canvas[60], ๊ด„ํ˜ธ๋กœ ๋ฌถ์„ ์œ„์น˜๋ฅผ ์ €์žฅํ•˜๋Š” group[5][2], ํ˜„์žฌ ์—ฐ์‚ฐ์ˆœ์„œ๋ฅผ ์ €์žฅํ•˜๋Š” order๋ฅผ ์„ ์–ธํ•œ๋‹ค.
        
        while(1){
            for(oper[0]=0; oper[0]<4; oper[0]++)
            for(oper[1]=0; oper[1]<4; oper[1]++)
            for(oper[2]=0; oper[2]<4; oper[2]++)
            for(oper[3]=0; oper[3]<4; oper[3]++)
            for(oper_order[0]=0; oper_order[0]<4; oper_order[0]++)
            for(oper_order[1]=0; oper_order[1]<3; oper_order[1]++)
            for(oper_order[2]=0; oper_order[2]<2; oper_order[2]++)
            for(oper_order[3]=0; oper_order[3]<1; oper_order[3]++)
            {
                for(i=0; i<5; i++) {
                    cal_table[i].u=number[i];
                    cal_table[i].d=1;
                }
                for(i=0; i<4; i++) {
                    oper_table[i]=oper[i];
                }
                for(i=0; i<4; i++) calculate(oper_order[i]);
                cal_table[0]=rev(cal_table[0]);

    //๊ธฐ์กด๊ณผ ๋™์ผ
                if(cal_table[0].d==1 && cal_table[0].u>0 && cal_table[0].u<=193){
                    for(i=0; i<5; i++) checklist[cal_table[0].u][i]=number[i];
                    for(i=5; i<9; i++) checklist[cal_table[0].u][i]=oper[i-5];
                    for(i=9; i<13; i++) checklist[cal_table[0].u][i]=oper_order[i-9];
                }

    //๊ฒฐ๊ณผ๊ฐ’์ด 1~193 ์‚ฌ์ด์ด๋ฉด ํ•ด๋‹นํ•˜๋Š” checklist์— ํ‘œ์‹œํ•ด์ค€๋‹ค.
            }
            isBreak=next_permutation(number,number+5);
            if(isBreak==0) break;
        }

    //๊ธฐ์กด ์ฝ”๋“œ์—์„œ์˜ ๋ฐ˜๋ณต๋ฌธ์ด ์ข…๋ฃŒ๋˜์—ˆ๋‹ค. ์ด์ œ checklist์— ๊ธฐ๋ก๋œ ์ •๋ณด๋ฅผ ๋ˆˆ์œผ๋กœ ๋ณผ ์ˆ˜ ์žˆ๋Š” ์ˆ˜์‹์œผ๋กœ ์‹œ๊ฐํ™”ํ•  ๊ฒƒ์ด๋‹ค.
        
        for(i=1; i<=193; i++){
            for(j=0; j<60; j++) canvas[j]=0;
            for(j=0; j<5; j++) canvas[6*(2*j+1)]=checklist[i][j];
            for(j=0; j<4; j++) canvas[6*(2*j+2)]=-checklist[i][j+5]-1;
            for(j=0; j<5; j++){
                group[j][0]=6*(2*j+1)-1;
                group[j][1]=6*(2*j+1)+1;
            }

    //์บ”๋ฒ„์Šค๋ฅผ ๋น„์›Œ์ค€ ๋’ค, ์ˆซ์ž์™€ ์—ฐ์‚ฐ์ž๋ฅผ ๋„ฃ๋Š”๋‹ค. +๋Š”-1, -๋Š”-2, *๋Š”-3, /๋Š”-4๋กœ ํ‘œ์‹œ๋œ๋‹ค, ๊ด„ํ˜ธ๊ฐ€ ๋“ค์–ด๊ฐˆ ์ž๋ฆฌ๊ฐ€ ์žˆ๊ฒŒ 5์นธ์”ฉ์˜ ๊ณต๋ฐฑ์„ ๋‚จ๊ฒจ์ค€๋‹ค.
            
            for(j=0; j<4; j++){
                order=checklist[i][j+9];
                canvas[group[order][0]]=-5;
                canvas[group[order+1][1]]=-6;
                group[order][0]--;
                group[order][1]=group[order+1][1]+1;
                for(k=order+1; k<4; k++){
                    group[k][0]=group[k+1][0];
                    group[k][1]=group[k+1][1];
                }
            }

    //์—ฐ์‚ฐ์ˆœ์„œ์— ๋งž๊ฒŒ ๊ด„ํ˜ธ๋กœ ์ˆ˜๋“ค์„ ๋ฌถ์–ด์ฃผ๋Š” ์ฝ”๋“œ์ด๋‹ค.
            
            printf("%d = ",i);
            for(j=0; j<60; j++){
                if(canvas[j]>0) printf("%d",canvas[j]);
                if(canvas[j]==-1) printf("+",canvas[j]);
                if(canvas[j]==-2) printf("-",canvas[j]);
                if(canvas[j]==-3) printf("*",canvas[j]);
                if(canvas[j]==-4) printf("/",canvas[j]);
                if(canvas[j]==-5) printf("(",canvas[j]);
                if(canvas[j]==-6) printf(")",canvas[j]);
            }
            printf("\n");

    //์บ”๋ฒ„์Šค๋ฅผ ์•ž์—์„œ๋ถ€ํ„ฐ ์ฝ์œผ๋ฉด์„œ ํ•ด๋‹นํ•˜๋Š” ๋ฌธ์ž๋กœ ์ถœ๋ ฅํ•ด์ค€๋‹ค.
        }
    }

     

    ์ด ํ”„๋กœ๊ทธ๋žจ์„ ์‹คํ–‰ํ•˜๋ฉด 4,5,6,7,8๋กœ 1~192์‚ฌ์ด์˜ ์ˆ˜๋ฅผ ์–ด๋–ค ๋ฐฉ๋ฒ•์œผ๋กœ ๋งŒ๋“ค ์ˆ˜ ์žˆ๋Š”์ง€ ์ถœ๋ ฅํ•œ๋‹ค.

    1 = ((8+7)/(6+(5+4)))
    2 = ((8/((7-6)-5))+4)
    3 = ((((8-7)-6)/5)+4)
    4 = (8/(7-(6-(5-4))))
    5 = ((8/(7+(6-5)))+4)
    6 = ((((8*7)-6)/5)-4)
    7 = ((8/(7-6))-(5-4))
    8 = (8/(7/(6+(5-4))))
    9 = ((8/(7-6))+(5-4))
    10 = (8/((7-6)/(5/4)))
    11 = (8+((7/(6-5))-4))
    12 = (((8/(7-6))-5)*4)
    13 = (8+(7-((6+4)/5)))
    14 = (8*((7/(6-5))/4))
    15 = ((8-7)*(6+(5+4)))
    16 = (8*(7-(6-(5-4))))
    17 = ((8/(7-6))+(5+4))
    18 = (8*(7-(6-(5/4))))
    19 = (8+((7/(6-5))+4))
    20 = (8+(7+(6-(5-4))))
    21 = (8+(7+(6/(5-4))))
    22 = (((8*7)-(6*5))-4)
    23 = ((8*(7/(6-4)))-5)
    24 = (8*((7/(6-5))-4))
    25 = (((8+7)*(6-4))-5)
    26 = ((8-7)*((6*5)-4))
    27 = (8-(7-((6*5)-4)))
    28 = ((8/(7-6))+(5*4))
    29 = (8-(7*((6-5)-4)))
    30 = ((8*7)-((6*5)-4))
    31 = (((8-(7-6))*5)-4)
    32 = (8*(7+((6-5)-4)))
    33 = ((8*(7/(6-4)))+5)
    34 = (8*(7-((6+5)/4)))
    35 = (8-((7-(6*5))-4))
    36 = ((8/((7-6)/5))-4)
    37 = ((8/((7-6)/4))+5)
    38 = (8*(((6-7)/4)+5))
    39 = (((8-(7-6))*5)+4)
    40 = (((8*7)-6)/(5/4))
    41 = ((((8*7)-6)-5)-4)
    42 = ((8*7)+(6-(5*4)))
    43 = (8+(7*(6-(5-4))))
    44 = ((8/((7-6)/5))+4)
    45 = (8-(7-((6+5)*4)))
    46 = ((8*7)-((6-4)*5))
    47 = (8+((7*4)+(6+5)))
    48 = (8/((7/6)-(5-4)))
    49 = (((8*7)-6)-(5-4))
    50 = ((8*7)-(6/(5-4)))
    51 = ((8*7)-(6-(5-4)))
    52 = (((8/(7-6))+5)*4)
    53 = ((8*7)+((6-5)-4))
    54 = (8*(7-((6-5)/4)))
    55 = (8-(7-(6*(5+4))))
    56 = ((8+(7-(6-5)))*4)
    57 = (8+(7*(6+(5-4))))
    58 = (8*(7+((6-5)/4)))
    59 = ((8*7)-((6-5)-4))
    60 = ((8*(7/(6-5)))+4)
    61 = ((8*7)+(6-(5-4)))
    62 = ((8*7)+(6/(5-4)))
    63 = ((8*7)+(6+(5-4)))
    64 = ((8+(7+(6-5)))*4)
    65 = ((8+(7-(6-4)))*5)
    66 = (8*(((7+6)/4)+5))
    67 = ((8*(7+(6-4)))-5)
    68 = ((8*(7+(6-5)))+4)
    69 = (8+(((7+6)*5)-4))
    70 = ((8*7)-(6-(5*4)))
    71 = ((8*7)+(6+(5+4)))
    72 = (8/((7-6)/(5+4)))
    73 = ((8*(7+(6/4)))+5)
    74 = (8*(((7*6)-5)/4))
    75 = ((8+7)*(6-(5-4)))
    76 = (8*(7+(5/(6-4))))
    77 = (8+(((7+6)*5)+4))
    78 = (8*(7+((6+5)/4)))
    79 = ((8*(7*(6/4)))-5)
    80 = (8*(7-((6-5)-4)))
    81 = ((((8+7)*6)-5)-4)
    82 = ((8*7)+((6*5)-4))
    83 = (8+((7*(6+4))+5))
    84 = (8*(7/(6/(5+4))))
    85 = ((8*7)+((6*4)+5))
    86 = (((8*(7+5))-6)-4)
    87 = ((8*(7+4))-(6-5))
    88 = (8*((7/(6-5))+4))
    89 = (((8+7)*6)-(5-4))
    90 = ((8*7)+((6*5)+4))
    91 = (((8+7)*6)+(5-4))
    92 = ((8*((7-5)*6))-4)
    93 = (8-((7-(6*4))*5))
    94 = (8*(((7*6)+5)/4))
    95 = (((8*(7+6))-5)-4)
    96 = (8*(7+(6-(5-4))))
    97 = (((8+6)*7)-(5-4))
    98 = ((8*(7+5))+(6-4))
    99 = (((8+7)*6)+(5+4))
    100 = ((8*7)+((6+5)*4))
    101 = (((8+(7+6))*5)-4)
    102 = ((8+7)*(6+(4/5)))
    103 = ((8*(7+6))-(5-4))
    104 = (((8*7)-(6*5))*4)
    105 = ((8*(7+6))+(5-4))
    106 = (8-(7*(6-(5*4))))
    107 = ((8*(7*(6-4)))-5)
    108 = (8*(7+((6/4)+5)))
    109 = (((8+(7+6))*5)+4)
    110 = ((8*7)+(6*(5+4)))
    111 = ((8*6)+(7*(5+4)))
    112 = (8*(7+(6+(5-4))))
    113 = ((8*(7+6))+(5+4))
    114 = (8*(7+(6+(5/4))))
    115 = (((8*(6-4))+7)*5)
    116 = (8*(7+(6*(5/4))))
    117 = ((8*(7*(6-4)))+5)
    118 = (8*((7*(5/4))+6))
    119 = (((8+(7+4))*6)+5)
    120 = ((8-7)*(6*(5*4)))
    121 = (8-(7-(6*(5*4))))
    122 = (((8*7)+5)*(6-4))
    123 = (((8+5)*(6+4))-7)
    124 = ((8*(7+6))+(5*4))
    125 = (8+((7+6)*(5+4)))
    126 = ((8-(7-(5*4)))*6)
    127 = ((8*(6+(5+4)))+7)
    128 = (8*(((7-5)*6)+4))
    129 = (((8+7)*(5+4))-6)
    130 = (8*((7+6)*(5/4)))
    131 = ((8*(7+(6+4)))-5)
    132 = (((7*5)-(8-6))*4)
    133 = (((8+6)*(5+4))+7)
    134 = ((8*(7+(5+4)))+6)
    135 = (8+(7+(6*(5*4))))
    136 = (8*(7+((6-4)*5)))
    137 = (((8+(6+5))*7)+4)
    138 = ((8+((7-4)*5))*6)
    139 = ((8*((7-4)*6))-5)
    140 = ((8*(7+(6+5)))-4)
    141 = ((8*(7+(6+4)))+5)
    142 = (8+((7*(5*4))-6))
    143 = ((((8*5)-6)*4)+7)
    144 = (8*((7+5)*(6/4)))
    145 = (((8+7)*(6+4))-5)
    146 = (8+(((7*4)-5)*6))
    147 = (((8*(6-4))+5)*7)
    148 = ((8*(7+(6+5)))+4)
    149 = ((8*((7-4)*6))+5)
    150 = ((8+7)*((6-4)*5))
    151 = (((8+4)*(7+6))-5)
    152 = (8*((7*(6-4))+5))
    153 = (((8+(6*4))*5)-7)
    154 = (8*(7*((6+5)/4)))
    155 = (((8+7)*(6+4))+5)
    156 = (8+(((7*6)-5)*4))
    157 = ((8*(6*4))-(7*5))
    158 = ((7*((6*5)-8))+4)
    159 = ((((8*6)-7)*4)-5)
    160 = (8/(((7-6)/5)/4))
    161 = (((8+7)*(6+5))-4)
    162 = ((((8-4)*5)+7)*6)
    163 = (8+((7+(6*4))*5))
    164 = (((8+6)*(7+5))-4)
    165 = ((((8*6)-5)*4)-7)
    166 = (((8+(7*5))*4)-6)
    167 = (((8+(6*4))*5)+7)
    168 = (8*(7-(6-(5*4))))
    169 = (((8+7)*(6+5))+4)
    170 = (8+((7+(5*4))*6))
    171 = (8+((7*(6*4))-5))
    172 = (8+(((7*5)+6)*4))
    173 = (((8+5)*(7+6))+4)
    174 = (((8*(7-4))+5)*6)
    175 = (((8+(5*4))*6)+7)
    176 = (8*((7*6)-(5*4)))
    177 = ((((8*5)+6)*4)-7)
    178 = (((8+(7*5))*4)+6)
    179 = ((((8*6)-5)*4)+7)
    180 = ((((8*7)-6)-5)*4)
    181 = (8+((7*(6*4))+5))
    182 = ((8+6)*((5*4)-7))
    183 = ((((8*4)+6)*5)-7)
    184 = (8*(((7-4)*6)+5))
    185 = ((((8*6)-7)-4)*5)
    186 = (((8+(7*4))*5)+6)
    187 = ((((8*4)-6)*7)+5)
    188 = ((8*6)+(7*(5*4)))
    189 = ((8+(7+6))*(5+4))
    190 = (8+(7*((6*5)-4)))
    191 = ((((8*5)+6)*4)+7)
    192 = (8*((7-(6-5))*4))
    193 = ((((+)+)+)+)

    ์‹ ๊ธฐํ•œ ์‚ฌ์‹ค์€, 1~192์˜ ๋ชจ๋“  ์ˆ˜๋ฅผ ๋‚˜๋ˆ„๊ธฐ ์—†์ด ๋งŒ๋“ค ์ˆ˜ ์žˆ๋‹ค๋Š” ๊ฒƒ์ด๋‹ค! ๊ถ๊ธˆํ•˜๋ฉด ์ง์ ‘ ์ฝ”๋“œ๋ฅผ ์ˆ˜์ •ํ•ด์„œ ํ•ด ๋ณด์‹œ๊ธธ!

    for(oper[0]=0; oper[0]<4; oper[0]++).. ๊ฐ€ ์จ์ ธ ์žˆ๋Š” ๋ถ€๋ถ„์—์„œ 4๋ฅผ 3์œผ๋กœ ๋ฐ”๊พธ๋ฉด ๋œ๋‹ค! (๋‚˜๋ˆ„๊ธฐ๊ฐ€ 3์„ ์˜๋ฏธํ•˜๋ฏ€๋กœ)

    ๊ฒฐ๋ก : 1๋ถ€ํ„ฐ ์—ฐ์†ํ•œ ์ž์—ฐ์ˆ˜๋ฅผ ๊ฐ€์žฅ ๋งŽ์ด ๋งŒ๋“ค ์ˆ˜ ์žˆ๋Š” ๋ฐฉ๋ฒ•์€ 4,5,6,7,8์„ ๊ณ ๋ฅด๋Š” ๊ฒƒ์ด๋ฉฐ, ์ด๋Š” 1~192์˜ ๋ชจ๋“  ์ˆ˜๋ฅผ ๋งŒ๋“ค ์ˆ˜ ์žˆ๋‹ค.

    ๋Œ“๊ธ€ ์ž‘์„ฑํ•˜๊ธฐ ์ข‹์•„์š”0 ๋Œ“๊ธ€์ˆ˜1
    •  
      muse Lv.6 2018.09.15 22:37

      ๊ฒฐ๊ตญ ํ’€๋ ธ๋„ค์š”...

       

      ์‚ฌ๊ฐํ˜•์ด๋‚˜ ์—ด์‹ฌํžˆ ์ฑ„์›Œ์•ผ๊ฒ ๋‹ค.

      ์ข‹์•„์š”0
  •  
    ์•„์ธ์ˆ˜ํƒ€์ธ Lv.12 2018.09.16 09:57

    ์•„, ์ œ๊ฐ€ ์ฒ˜์Œ๋ถ€ํ„ฐ ๋ฌธ์ œ ์ดํ•ด๋ฅผ ์ž˜๋ชปํ–ˆ๋„ค์š”... ์•„๋ฌด๊ฑฐ๋‚˜ ์„ ํƒํ•ด์„œ ์ตœ๋Œ€๋กœ ๋งŒ๋“œ๋Š”๊ฒŒ ์•„๋‹ˆ๊ตฌ๋‚˜...

    ๋Œ“๊ธ€ ์ž‘์„ฑํ•˜๊ธฐ ์ข‹์•„์š”0 ๋Œ“๊ธ€์ˆ˜0
  •  

    ์ฝ”๋”ฉ ์—ดํ’์ด ๋ถˆ์–ด๋‹ฅ์นœ ๊ฒƒ ๊ฐ™์•„์š”! ๋ฌธ์ œ๋ฅผ ์ถœ์ œํ•œ ๋ฐฑ์ง„์–ธ ์—ฐ๊ตฌ์› ๋‹˜์˜ ์ฝ”๋ฉ˜ํŠธ๋ฅผ ์ „๋‹ฌํ• ํ…Œ๋‹ˆ ์ฐธ๊ณ ํ•˜์„ธ์š”!!! laugh

     

    1๋ฒˆ ๋ฌธ์ œ

    ์นœ๊ตฌ๋“ค์˜ ํ’€์ด๊ฐ€ ๋ชจ๋‘ ์˜๋ฏธ ์žˆ์—ˆ์–ด์š”. ์นœ๊ตฌ๋“ค์˜ ์˜ˆ์ƒ๊ณผ ๋‹ฌ๋ฆฌ 1๋ฒˆ์˜ ๋‹ต์€ '์กด์žฌํ•œ๋‹ค'๊ณ , ๋‚˜๋ˆ—์…ˆ์„ ์ด์šฉํ•ด ์ •์ˆ˜ ๋ฟ๋งŒ์ด ์•„๋‹ˆ๋ผ ์œ ๋ฆฌ์ˆ˜๊นŒ์ง€ ๋‹ค๋ค„์•ผ ํ•œ๋‹ค๋Š” ๊ฒƒ์ด ํ‚ค ํฌ์ธํŠธ์˜€์Šต๋‹ˆ๋‹ค!

     

    2๋ฒˆ ๋ฌธ์ œ

    2๋ฒˆ ๋ฌธ์ œ๋Š” ์ปดํ“จํ„ฐ์˜ ๋„์›€ ์—†์ด๋Š” ํ•ด๊ฒฐ์ด ํž˜๋“  ๋ฌธ์ œ์˜€์–ด์š”. muse, ๋ˆ„๊ตฐ๊ฐ€, ์ˆ˜๋Œ์ด ์นœ๊ตฌ๊ฐ€ ํ”„๋กœ๊ทธ๋ž˜๋ฐ์„ ์ด์šฉํ•ด ๋ฌธ์ œ์— ์ ‘๊ทผํ–ˆ๋Š”๋ฐ์š”, ๋‹ค๋“ค ํ”„๋กœ๊ทธ๋žจ์„ ์ž˜ ์ด์šฉํ–ˆ์Šต๋‹ˆ๋‹ค.

    ํ”„๋กœ๊ทธ๋ž˜๋ฐ์œผ๋กœ ๋ฌธ์ œ๋ฅผ ํ’€ ๋•Œ ๋‹จ์ ์€, ๋ฌธ์ œ ์˜ค๋ฅ˜๊ฐ€ ์•„๋‹Œ ํ”„๋กœ๊ทธ๋žจ๋ฐ ์ž์ฒด๋ฅผ ์‹ค์ˆ˜ํ•˜๋ฉด ๋‹ต์— ์˜ค๋ฅ˜๊ฐ€ ์ƒ๊ธธ ์ˆ˜ ์žˆ์Šต๋‹ˆ๋‹ค. ๊ทธ๋ž˜์„œ ์ˆ˜ํ•™ ๋ฌธ์ œ๋ฅผ ํ”„๋กœ๊ทธ๋ž˜๋ฐ์œผ๋กœ ํ•ด๊ฒฐํ•  ๋•Œ๋Š” ๋‹ค๋ฅธ ์‚ฌ๋žŒ์ด ํ”„๋กœ๊ทธ๋žจ์„ ์ œ๋Œ€๋กœ ๊ตฌํ˜„ํ–ˆ๋Š”์ง€ ํ™•์ธํ•ด์„œ '์—„๋ฐ€ํ•จ'์„ ๊ฒ€์ฆํ•  ์ˆ˜ ์žˆ์Šต๋‹ˆ๋‹ค. ๋” ์ข‹์€ ๋ฐฉ๋ฒ•์€ ๋‹ค๋ฅธ ๋ฐฉ์‹์œผ๋กœ ๊ตฌํ˜„ํ•œ ํ”„๋กœ๊ทธ๋žจ๋„ ๋˜‘๊ฐ™์€ ๋‹ต์„ ์ฃผ๋Š” ์ง€๋ฅผ ํ™•์ธํ•˜๋Š” ๊ฑฐ์˜ˆ์š”.

    ์ˆ˜๋Œ์ด ์นœ๊ตฌ๊ฐ€ 2๋ฒˆ ๋ฌธ์ œ๋ฅผ ํ”„๋กœ๊ทธ๋ž˜๋ฐ์œผ๋กœ ํ•ด๊ฒฐํ–ˆ์ง€๋งŒ, ์ˆ˜๋Œ์ด ์นœ๊ตฌ์˜ ์ฝ”๋“œ๊ฐ€ ๋งž๋Š”์ง€ ๋‹ค๋ฅธ ์‚ฌ๋žŒ์ด ํ™•์ธํ•˜์ง€ ์•Š์•˜๊ธฐ ๋•Œ๋ฌธ์—, ๋‹ค๋ฅธ ์นœ๊ตฌ๋“ค์ด โ‘ ์ˆ˜๋Œ์ด ์นœ๊ตฌ์˜ ๊ตฌํ˜„์„ ๊ฒ€์ฆํ•ด์„œ ํ™•์ธํ•˜๊ฑฐ๋‚˜ โ‘ก์ƒˆ๋กœ ๊ตฌํ˜„์„ ํ•ด์„œ ๋˜‘๊ฐ™์€ ๋‹ต์ด ๋‚˜์˜ค๋Š”์ง€๋ฅผ ํ™•์ธํ•˜๋ฉด ๋ฌธ์ œ๋ฅผ ์™„์ „ํžˆ ํ•ด๊ฒฐํ•œ ๊ฑธ๋กœ ํ•˜๊ฒ ์Šต๋‹ˆ๋‹ค.

    ๋ฌธ์ œ๋ฅผ ์ƒ๊ฐํ•œ ์นœ๊ตฌ๋“ค ์ „๋ถ€ ์ˆ˜๊ณ  ๋งŽ์•˜๊ณ , ์•„์ง ํ•  ์ผ์ด ๋‚จ์•˜์œผ๋‹ˆ ์กฐ๊ธˆ๋งŒ ๋” ํž˜๋‚ด์‹œ๊ธธ ๋ฐ”๋ผ์š”. ๊ฐ์‚ฌํ•ฉ๋‹ˆ๋‹ค!

    ๋Œ“๊ธ€ ์ž‘์„ฑํ•˜๊ธฐ ์ข‹์•„์š”0 ๋Œ“๊ธ€์ˆ˜0
  •  
    ์•„์ธ์ˆ˜ํƒ€์ธ Lv.12 2018.09.17 06:27

    ์—ฅ? ๊ทธ๋Ÿผ ์•„์ง ์™„์ „ํ•ด๊ฒฐ์ด ์•„๋‹ˆ์—์š”?

    ๋Œ“๊ธ€ ์ž‘์„ฑํ•˜๊ธฐ ์ข‹์•„์š”0 ๋Œ“๊ธ€์ˆ˜1
    •  

      ๋‹ค๋ฅธ ์นœ๊ตฌ๋“ค์ด ๊ฒ€ํ†  or ๋‹ค๋ฅธ ๋ฐฉ๋ฒ•์œผ๋กœ ํ’€ ๋•Œ๊นŒ์ง€ '์ž ์‹œ๋งŒ' ๊ธฐ๋‹ค๋ ค ๋ณผ๊ฒŒ์š”!!angel

      ์ข‹์•„์š”0
  •  
    ์ˆ˜ํ•™์ž Lv.2 2018.09.23 04:22

    ๋”ฐ๋กœ ์ƒˆ๋กญ๊ฒŒ ๊ตฌํ˜„ํ•˜์—ฌ ๋ณด์•˜์Šต๋‹ˆ๋‹ค. ์—ญ์‹œ ๋˜‘๊ฐ™์€ ๋‹ต "192 for (4, 5, 6, 7, 8)"์ด๊ตฐ์š”.

    ์†Œ์Šค ์ฝ”๋“œ: /resources/comment/2018/09/d99406d8b87e238aa15b6f172454a0cc.cpp

    ์‹คํ–‰ ๊ฒฐ๊ณผ(output.txt, ํฌ๊ธฐ ์•ฝ 31KB): /resources/comment/2018/09/32cd71ab0102d2f22dc991c2bb6d7cc0.txt

    ์ „์ฒด ๊ฒฝ์šฐ๋ฅผ ๋”ฐ์ ธ๋ณด๋Š” ๋ฐฉ์‹์„ ์กฐ๊ธˆ ๋ฐ”๊พธ์–ด, ํ™•์ธํ•ด์•ผ ํ•˜๋Š” ๊ฒฝ์šฐ์˜ ์ˆ˜๋ฅผ ์กฐ๊ธˆ ์ค„์˜€์Šต๋‹ˆ๋‹ค. ์ด ์ฝ”๋“œ์—์„œ๋Š” ๊ทธ๊ฒƒ์ด 362,797,056์—์„œ 300,231,360์œผ๋กœ ์ค„์–ด๋“  ์ •๋„์ด๊ธด ํ•ฉ๋‹ˆ๋‹ค๋งŒ, ๊ฐ™์€ ์ˆ˜๊ฐ€ ์žˆ๋Š” ๊ฒฝ์šฐ๋ฅผ ๋” ์ฒ˜๋ฆฌํ•œ๋‹ค๋ฉด 1.5์–ต(150,000,000) ์ •๋„๊นŒ์ง€, ํ˜น์€ ๋” ์ค„์ผ ์ˆ˜ ์žˆ์„ ๊ฒƒ ๊ฐ™์Šต๋‹ˆ๋‹ค.

    ๊ฒฝ์šฐ์˜ ์ˆ˜๋ฅผ ์ค„์ธ ๊ธฐ๋ณธ์ ์ธ ์•„์ด๋””์–ด๋Š”, ๋ง์…ˆ๊ณผ ๊ณฑ์…ˆ์˜ ๊ฒฐํ•ฉ๋ฒ•์น™์ด ์„ฑ๋ฆฝํ•œ๋‹ค๋Š” ๋ฐ์„œ ๋‚˜์™”์Šต๋‹ˆ๋‹ค. 120๊ฐ€์ง€ permutation์— ๋Œ€ํ•ด 24๊ฐ€์ง€ ์ˆœ์„œ๋ฅผ ํ•ด ๋ณด๋Š” ๋Œ€์‹ , 5๊ฐœ ์ค‘ ๋จผ์ € ์—ฐ์‚ฐํ•  2๊ฐœ๋ฅผ ๊ณ ๋ฅด๊ณ , ๋‚˜๋จธ์ง€ 4๊ฐœ ์ค‘ 2๊ฐœ๋ฅผ ๊ณ ๋ฅด๋Š” ์‹์œผ๋กœ ๋ฐ”๊พธ๋ฉด, 120*24๋ฅผ 180์œผ๋กœ ๋ฐ”๊ฟ€ ์ˆ˜ ์žˆ์Šต๋‹ˆ๋‹ค. ๋Œ€์‹ , ๋บ„์…ˆ๊ณผ ๋‚˜๋ˆ—์…ˆ์€ ์—ฐ์‚ฐ์˜ ์ˆœ์„œ๋ฅผ ๊ณ ๋ คํ•ด์•ผ ํ•˜๋ฏ€๋กœ, ์—ฐ์‚ฐ์˜ ์ข…๋ฅ˜๊ฐ€ 4๊ฐ€ ์•„๋‹Œ 6์ด ๋ฉ๋‹ˆ๋‹ค. 5๊ฐœ์˜ ์ˆ˜๊ฐ€ ๋ชจ๋‘ ๋‹ค๋ฅธ ๊ฒฝ์šฐ ๊ฒฝ์šฐ์˜ ์ˆ˜๊ฐ€ 120*24*4^4=737,280์—์„œ 180*6^4=233,280์œผ๋กœ ์ค„์–ด๋“ญ๋‹ˆ๋‹ค. ๋”ฐ์ ธ๋ด์•ผ ํ•  ๊ฒฝ์šฐ๊ฐ€ 1/3 ์ •๋„๋กœ ์ค„์–ด๋“ ๋‹ค๋Š” ๊ฑฐ์ฃ .

     

    โ€ป ํŠธ๋ฆฌ๋น„์•„

    1. (4, 5, 6, 7, 8) ๋‹ค์Œ์œผ๋กœ ์ข‹์€ ์กฐํ•ฉ์€ (2, 4, 7, 8, 9)๋กœ, 180๊นŒ์ง€ ๋‚˜ํƒ€๋‚ผ ์ˆ˜ ์žˆ์Šต๋‹ˆ๋‹ค. 1๋“ฑ(192)๊ณผ์˜ ๊ฒฉ์ฐจ๋Š” ์ข€ ํฌ๊ตฐ์š”.

    2. ๋ฌธ์ œ์˜ "1 ์ด์ƒ, 9 ์ดํ•˜"๋ฅผ "1 ์ด์ƒ 10 ์ดํ•˜"๋กœ ๋ฐ”๊ฟ€ ๊ฒฝ์šฐ ๋‹ต์€ "210 for (2, 3, 7, 9, 10)"์ž…๋‹ˆ๋‹ค. 10์„ ํฌํ•จํ•˜๋Š” ๊ฒฝ์šฐ (4, 5, 6, 7, 8)์€ ์ „์ฒด์—์„œ 4๋“ฑ์ž…๋‹ˆ๋‹ค.

    3. (1, 2, 3, 4, 5)๋กœ ์—ฐ์†ํ•ด์„œ ๋งŒ๋“ค ์ˆ˜ ์žˆ๋Š” ์ˆ˜๋Š” 75๊ฐ€ ํ•œ๊ณ„์ž…๋‹ˆ๋‹ค(541๋“ฑ). ๋‹ค๋ฅธ ๋Œ“๊ธ€์—์„œ (3, 4, 5, 7, 9)๊ฐ€ ์žˆ์—ˆ๋Š”๋ฐ, (3, 4, 5, 7, 9)๋Š” 144๊นŒ์ง€๋ฅผ ๋งŒ๋“ค ์ˆ˜ ์žˆ๋Š”, 1287๊ฐœ ์ค‘ 39๋“ฑ์ธ ์กฐํ•ฉ์ž…๋‹ˆ๋‹ค.

    4. (1, 1, 1, 1, 1)๋ณด๋‹ค ๋” ์•ˆ ์ข‹์€ ๊ฒฝ์šฐ๊ฐ€ ์žˆ์„๊นŒ์š”? ์žˆ์Šต๋‹ˆ๋‹ค! (8, 8, 8, 9, 9)์™€ (8, 8, 9, 9, 9)๊ฐ€ ๊ทธ ์ฃผ์ธ๊ณต์ž…๋‹ˆ๋‹ค. ์ด ๋‘˜์€ 5๋ฅผ ๋‚˜ํƒ€๋‚ผ ์ˆ˜ ์—†์Šต๋‹ˆ๋‹ค.

    5. ๊ฐ™์€ ์ˆ˜ 5๊ฐœ๋ฅผ ์“ด๋‹ค๋ฉด, 1๋ถ€ํ„ฐ 9 ์ค‘์—์„œ๋Š” 4๊ฐ€ ๊ทธ๋‚˜๋งˆ ๋‚ซ์Šต๋‹ˆ๋‹ค. (4, 4, 4, 4, 4)๋Š” 1๋ถ€ํ„ฐ 21๊นŒ์ง€์˜ ์ˆ˜๋ฅผ ๋‚˜ํƒ€๋‚ผ ์ˆ˜ ์žˆ์Šต๋‹ˆ๋‹ค.

    ๋Œ“๊ธ€ ์ž‘์„ฑํ•˜๊ธฐ ์ข‹์•„์š”0 ๋Œ“๊ธ€์ˆ˜3
    •  

      ์ˆ˜ํ•™์ž ์นœ๊ตฌ์˜ ํ’€์ด ์ •๋‹ต์ž…๋‹ˆ๋‹ค!

      ์ข‹์•„์š”0
    •  
      ๊น€์šฐํ˜„ ๊ธฐ์ž Lv.5 2018.09.29 02:07 ๋น„๋ฐ€๋Œ“๊ธ€
      ๋น„๋ฐ€ ๋Œ“๊ธ€์ด ๋“ฑ๋ก ๋˜์—ˆ์Šต๋‹ˆ๋‹ค!
    •  
      ์ˆ˜ํ•™์ž Lv.2 2018.09.29 21:15 ๋น„๋ฐ€๋Œ“๊ธ€
      ๋น„๋ฐ€ ๋Œ“๊ธ€์ด ๋“ฑ๋ก ๋˜์—ˆ์Šต๋‹ˆ๋‹ค!
  •  
    ๋ˆ„๊ตฐ๊ฐ€ Lv.1 2018.09.23 10:16

    ์•„ ๋Šฆ์—ˆ๋„ค์š”... ๋‹ต์€ ๋˜‘๊ฐ™์Šต๋‹ˆ๋‹ค.

    https://scratch.mit.edu/projects/247868405/

    1~9๋กœ ๋งŒ๋“ค ์ˆ˜ ์žˆ๋Š” ์ค‘๋ณต์กฐํ•ฉ๋ฆฌ์ŠคํŠธ๋ฅผ ๋ฏธ๋ฆฌ ๋ฝ‘์•„๋†“๊ณ  ์ˆซ์ž ๋ฐฐ์—ด๊นŒ์ง€ ์ƒ๊ฐํ•˜์—ฌ ๊ณ„์‚ฐํ•˜์˜€์Šต๋‹ˆ๋‹ค.

    ๋Œ“๊ธ€ ์ž‘์„ฑํ•˜๊ธฐ ์ข‹์•„์š”0 ๋Œ“๊ธ€์ˆ˜1
  •  

    ํ•ด๊ฒฐ ๋ฌ๋„ค์š”!

    ๋Œ“๊ธ€ ์ž‘์„ฑํ•˜๊ธฐ ์ข‹์•„์š”0 ๋Œ“๊ธ€์ˆ˜0
  •  
    ์•„์ธ์ˆ˜ํƒ€์ธ Lv.12 2018.09.27 01:54

    ๊ทผ๋ฐ์š”, ํด๋ฆฌ๋งค์Šค๊ฐ€ ์›๋ž˜(๋งค์ŠคํŽ€๋„ ๊ทธ๋ ‡๊ณ ) ์ค‘๊ฐ„์— ๊ฐ‘ํˆญํŠ€ํ•œ ๋ถ„์ด ์ •๋‹ต์„ ๋งžํžˆ๋Š” ๊ฒฝ์šฐ๊ฐ€ ๋งŽ๋‚˜์š”? ๋ณด๋‹ˆ๊น ๊ทธ๋Ÿฐ ๊ฒฝ์šฐ ๋˜๊ฒŒ ๋งŽ๋˜๋ฐ.

    ๋Œ“๊ธ€ ์ž‘์„ฑํ•˜๊ธฐ ์ข‹์•„์š”0 ๋Œ“๊ธ€์ˆ˜2
    •  
      Simon Lv.2 2018.09.27 06:25

      ๊ณ„์† ๋ณด๋ฉด์„œ ํ’€๊ณ  ๊ฒŒ์‹œ๋‹ค๊ฐ€ ํ‘ผ ๋‹ค์Œ์— ์˜ฌ๋ฆฌ์‹œ๋Š” ๊ฒฝ์šฐ๋„ ์žˆ๋Š” ๊ฒƒ ๊ฐ™๊ณ ์š”

      ๋ช‡๋ช‡ ๋ถ„๋“ค์€ ์ž˜ํ•˜์…”์„œ ์‹ฌ์‹ฌํ•  ๋•Œ ํ‘ธ์‹œ๋Š” ๊ฒƒ ๊ฐ™์•„์š”.

      ๊ฐ‘ํˆญํŠ€ํ•˜์‹œ๋Š” ๋ถ„์€ ์—†๋Š” ๊ฒƒ ๊ฐ™๋„ค์š”.

      ์ข‹์•„์š”0
    •  
      ์•„์ธ์ˆ˜ํƒ€์ธ Lv.12 2018.10.01 05:41

      ์•„๋‹ˆ ์ œ ๋ง์€ ๊ทธ๋Ÿฐ ๋œป์ด ์•„๋‹ˆ๋ผ ๋Œ“๊ธ€์„ ์•ˆ ๋‹ฌ๋‹ค ๊ฐ‘์ž๊ธฐ ๋‹ค์‹œ๋Š” ๋ถ„ ๋งํ•˜๋Š” ๊ฑฐ์˜ˆ์š”.

      ์ข‹์•„์š”0
  •  
    ๋ฒ ๋„ค๋”•ํŠธ0724 Lv.6 2018.10.02 06:06

    ๋ถ€๋Ÿฝ๋‹น.... ๋‚˜๋„ ๋ฉ˜ํ† ๋ง ๋ฐ›์•„๋ณด๊ณ  ์‹ถ๋‹น....

    ๋Œ“๊ธ€ ์ž‘์„ฑํ•˜๊ธฐ ์ข‹์•„์š”0 ๋Œ“๊ธ€์ˆ˜6
    •  
      ์•„์ธ์ˆ˜ํƒ€์ธ Lv.12 2018.10.02 09:06

      ??? ์ˆ˜ํ•™์žฅ๋‹˜ ์ˆ˜ํ•™๋™์•„ ํด๋ฆฌ๋งค์Šค์—์„œ ์•Œ๋งŒํ•œ ์‚ฌ๋žŒ ๋‹ค ์•„๋Š” top3(์—ฌ๋ฐฑ ํŒจ๋ฅด๋งˆ,๊ตฌ๋จธ,์ˆ˜ํ•™์žฅ)๋กœ ์•Œ๊ณ  ์žˆ์—ˆ๋Š”๋ฐ, ์ง€๊ธˆ๊นŒ์ง€ ๋ฉ˜ํ† ๋ง์„ ๋ชป ๋ฐ›์•˜๋‚˜์š”?

      ์ข‹์•„์š”0
    •  
      ๋ฒ ๋„ค๋”•ํŠธ0724 Lv.6 2018.10.03 00:06

      ์—ฌ๋ฐฑ ํŒจ๋ฅด๋งˆ๋‹˜๋„ ์•„์ง ๋ฉ˜ํ† ๋ง ์•ˆ ๋ฐ›์•„๋ณด์…จ๋‹ต๋‹ˆ๋‹ค.... ๊ตฌ๋จธ๋‹˜์€ ๋ฐ›์œผ์…จ๋‚˜ ๋ฌธ์ œ ํ”Œ์–ด์•ผ ๋ฉ˜ํ† ๋ง์ด ๋˜์„œ ๋ฉ˜ํ† ๋ง ๋ฐ›์€ ๋ถ„๋“ค์€ ๋ณ„๋กœ ์—†์–ด์š” ์—ฐ๋ฝ์ด ์•ˆ ๋˜์„œ ๋ชป ๋ฐ›์€ ๋ถ„๋“ค๋„ ๊ณ„์‹œ๊ณ  ์ˆ˜๋Œ์ด๋‹˜,c์–ธ์–ด๋‹˜๊ฐ™์€ ์˜ˆ์ „ ๋ฉค๋ฒ„๋ถ„๋“ค์ด ๋ฉคํ† ๋ง ๋ฐ›์œผ์‹  ์  ์žˆ์–ด์š”

      ์ข‹์•„์š”0
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      ๊ตฌ๋จธ Lv.6 2018.10.04 07:32

      ์ €๋„ ์Šค์ผ€์ค„ ๋ฌธ์ œ๋•œ์— ์•„์ง ๋ฐ›์€ ์  ์—†์Šต๋‹ˆ๋‹ค

      ์ข‹์•„์š”0
    •  
      ๊ตฌ๋จธ Lv.6 2018.10.04 08:32

      ๊ทธ๋ฆฌ๊ณ  ์ด์ œ๋Š” top 3๋Š” ์•„๋‹ˆ์ฃ ....ํ•™๊ต์ผ ๋ฐ”๋น ์„œ ์ ‘์€์ง€ ๊ฑฐ์˜ 4๋‹ฌ์ด ๋œ ๊ฒƒ ๊ฐ™์€๋ฐ ใ…œใ…œ

      ์ข‹์•„์š”0
    •  
      ๋ฒ ๋„ค๋”•ํŠธ0724 Lv.6 2018.10.09 05:38

      ๋งž์•„์š”.... ๊ทธ๋ฆฌ๊ณ  ์ œ๊ฐ€ 1,2๋ฒˆ ๋ฌธ์ œ๋Š” ๊ฐ€๋” ํ’€์–ด๋„ ๋ฉ”์ธ ๋ฌธ์ œ๋Š” ํ•œ ๋ฒˆ๋„ ํ‘ผ ์ ์ด ์—†์–ด์š”ใ… ใ…  ์ œ๊ฐ€ ๋ฌด์Šจ top3์ž…๋‹ˆ๊นŒ

      ์ข‹์•„์š”0
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      ์•„์ธ์ˆ˜ํƒ€์ธ Lv.12 2018.10.09 09:27

      ์Œ... ๊ทธ๋Ÿฐ๊ฐ€์š”...(๊ทธ๋Ÿผ ์˜ˆ์ „ top3์˜€๋‚˜...)

      ์ข‹์•„์š”0
  •  
    ๊ตฌ๋จธ Lv.6 2018.10.03 22:19

    ์˜ค๋žซ๋งŒ์— ๋†€๋Ÿฌ์™”๋Š”๋ฐ ๋‹ต๋“ค์ด ์ฝ”๋”ฉ๋ฐ–์— ์—†๋„ค์š”...ใ…‡ใ……ใ…‡

    ๋Œ“๊ธ€ ์ž‘์„ฑํ•˜๊ธฐ ์ข‹์•„์š”0 ๋Œ“๊ธ€์ˆ˜0
  •  

    ๋ญ์ง• ์™œ ์ด๋ ‡๊ฒŒ ๋Œ“๊ธ€์ด ๋งŽ์ง•

    ๋Œ“๊ธ€ ์ž‘์„ฑํ•˜๊ธฐ ์ข‹์•„์š”0 ๋Œ“๊ธ€์ˆ˜0
  • ํด๋ฆฌ๋งค์Šค ๋ฌธ์ œ๋Š” ๊ณผํ•™๊ธฐ์ˆ ์ง„ํฅ๊ธฐ๊ธˆ ๋ฐ ๋ณต๊ถŒ๊ธฐ๊ธˆ์˜ ์žฌ์›์œผ๋กœ ์šด์˜๋˜๊ณ , ๊ณผํ•™๊ธฐ์ˆ ์ •๋ณดํ†ต์‹ ๋ถ€์™€ ํ•œ๊ตญ๊ณผํ•™์ฐฝ์˜์žฌ๋‹จ์˜ ์ง€์›์„ ๋ฐ›์•„ ์ˆ˜ํ–‰๋œ ์„ฑ๊ณผ๋ฌผ๋กœ ์šฐ๋ฆฌ๋‚˜๋ผ์˜ ๊ณผํ•™๊ธฐ์ˆ  ๋ฐœ์ „๊ณผ ์‚ฌํšŒ์  ๊ฐ€์น˜ ์ฆ์ง„์— ๊ธฐ์—ฌํ•˜๊ณ  ์žˆ์Šต๋‹ˆ๋‹ค.

  • โ˜Ž๋ฌธ์˜ 02-6749-3911