Answered: 4. [3pts] Study continuity of the followi... |24HA

Messages Timeline Exceptions Events404 Views14 Route Queries10 Models21 Livewire0 Mails Gate Session Request

8.1.0576ms45MBGET college-homework-library/{category}/{subject}/{id}

Booting (384ms)time
Application (193ms)time
1 x Booting (66.58%)
384ms
1 x Application (33.42%)
193ms

Illuminate\Routing\Events\Routing (1.76ms)
Illuminate\Routing\Events\RouteMatched (1.62ms)
Illuminate\Foundation\Events\LocaleUpdated (5.16ms)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (225μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (442μs)
Illuminate\Database\Events\ConnectionEstablished (1.71ms)
Illuminate\Database\Events\StatementPrepared (18.64ms)
Illuminate\Database\Events\QueryExecuted (1.63ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (124μs)
eloquent.booting: App\Models\Subject (157μs)
eloquent.booted: App\Models\Subject (269μs)
Illuminate\Database\Events\StatementPrepared (3.38ms)
Illuminate\Database\Events\QueryExecuted (1.72ms)
eloquent.retrieved: App\Models\Subject (180μs)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (215μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (62μs)
Illuminate\Database\Events\StatementPrepared (1.04ms)
Illuminate\Database\Events\QueryExecuted (2.06ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (123μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (19μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (9μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (6μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (5μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (5μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (5μs)
eloquent.booting: App\Models\SubjectCat (280μs)
eloquent.booted: App\Models\SubjectCat (127μs)
Illuminate\Database\Events\StatementPrepared (872μs)
Illuminate\Database\Events\QueryExecuted (1.19ms)
eloquent.retrieved: App\Models\SubjectCat (100μs)
Illuminate\Cache\Events\CacheHit (22.07ms)
Illuminate\Cache\Events\CacheMissed (2.2ms)
Illuminate\Database\Events\StatementPrepared (1.82ms)
Illuminate\Database\Events\QueryExecuted (20.43ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (124μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (18μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (8μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (7μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (8μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (6μs)
Illuminate\Database\Events\StatementPrepared (1.47ms)
Illuminate\Database\Events\QueryExecuted (1.5ms)
eloquent.retrieved: App\Models\Subject (150μs)
Illuminate\Cache\Events\KeyWritten (1.94ms)
Illuminate\Database\Events\StatementPrepared (2.1ms)
Illuminate\Database\Events\QueryExecuted (1.28ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (52μs)
Illuminate\Database\Events\StatementPrepared (1.14ms)
Illuminate\Database\Events\QueryExecuted (1.1ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (39μs)
Illuminate\Database\Events\StatementPrepared (813μs)
Illuminate\Database\Events\QueryExecuted (1.01ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (42μs)
Illuminate\Cache\Events\CacheHit (618μs)
creating: homework.show (427μs)
composing: homework.show (162μs)
creating: components.breadcrumbs (346μs)
composing: components.breadcrumbs (170μs)
Illuminate\Database\Events\StatementPrepared (1.5ms)
Illuminate\Database\Events\QueryExecuted (965μs)
eloquent.retrieved: App\Models\SubjectCat (79μs)
Illuminate\Cache\Events\CacheHit (4.55ms)
Illuminate\Cache\Events\CacheHit (212μs)
Illuminate\Cache\Events\CacheHit (280μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (206μs)
Illuminate\Cache\Events\CacheHit (223μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (233μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (225μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (206μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (209μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (204μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (204μs)
Illuminate\Cache\Events\CacheHit (226μs)
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Illuminate\Cache\Events\CacheHit (319μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (316μs)
Illuminate\Cache\Events\CacheHit (368μs)
Illuminate\Cache\Events\CacheHit (407μs)
Illuminate\Cache\Events\CacheHit (203μs)
Illuminate\Cache\Events\CacheHit (204μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (182μs)
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Illuminate\Cache\Events\CacheHit (207μs)
Illuminate\Cache\Events\CacheHit (245μs)
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Illuminate\Cache\Events\CacheHit (205μs)
Illuminate\Cache\Events\CacheHit (244μs)
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Illuminate\Cache\Events\CacheHit (341μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (191μs)
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Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (160μs)
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Illuminate\Cache\Events\CacheHit (271μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (246μs)
Illuminate\Cache\Events\CacheHit (219μs)
Illuminate\Cache\Events\CacheHit (215μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (213μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (210μs)
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Illuminate\Cache\Events\CacheHit (207μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (207μs)
Illuminate\Cache\Events\CacheHit (318μs)
Illuminate\Cache\Events\CacheHit (313μs)
Illuminate\Cache\Events\CacheHit (283μs)
Illuminate\Cache\Events\CacheHit (329μs)
Illuminate\Cache\Events\CacheHit (385μs)
Illuminate\Cache\Events\CacheHit (257μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (238μs)
Illuminate\Cache\Events\CacheHit (201μs)
Illuminate\Cache\Events\CacheHit (215μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (215μs)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheHit (207μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (211μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (214μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (156μs)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheHit (155μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (153μs)
Illuminate\Cache\Events\CacheHit (379μs)
Illuminate\Cache\Events\CacheHit (246μs)
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Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (220μs)
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Illuminate\Cache\Events\CacheHit (220μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (162μs)
creating: site.layouts.app (526μs)
composing: site.layouts.app (26μs)
creating: components.canonical (486μs)
composing: components.canonical (104μs)
creating: components.open-graph (286μs)
composing: components.open-graph (84μs)
creating: site.headers.header (426μs)
composing: site.headers.header (81μs)
Illuminate\Cache\Events\CacheHit (1.98ms)
creating: components.footer (79μs)
composing: components.footer (187μs)
Illuminate\Cache\Events\CacheHit (982μs)
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creating: components.forms.contact-us (357μs)
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creating: components.forms.get-started (164μs)
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creating: components.forms.free-tool-download (120μs)
composing: components.forms.free-tool-download (67μs)
creating: components.forms.claim-free-worksheet (113μs)
composing: components.forms.claim-free-worksheet (67μs)
creating: components.forms.tutor-subscription-waitlist (115μs)
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creating: components.forms.tutor-subscription-join (195μs)
composing: components.forms.tutor-subscription-join (67μs)
creating: components.forms.tutor-support (110μs)
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321 x Illuminate\Cache\Events\CacheHit (17.12%)	98.70ms
10 x Illuminate\Database\Events\QueryExecuted (5.7%)	32.87ms
10 x Illuminate\Database\Events\StatementPrepared (5.69%)	32.78ms
1 x Illuminate\Foundation\Events\LocaleUpdated (0.9%)	5.16ms
1 x Illuminate\Cache\Events\CacheMissed (0.38%)	2.20ms
1 x Illuminate\Cache\Events\KeyWritten (0.34%)	1.94ms
1 x Illuminate\Routing\Events\Routing (0.3%)	1.76ms
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1 x Illuminate\Routing\Events\RouteMatched (0.28%)	1.62ms
1 x creating: site.layouts.app (0.09%)	526μs
1 x creating: components.canonical (0.08%)	486μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.08%)	442μs
1 x creating: homework.show (0.07%)	427μs
1 x creating: site.headers.header (0.07%)	426μs
1 x creating: components.forms.contact-us (0.06%)	357μs
1 x creating: components.breadcrumbs (0.06%)	346μs
2 x eloquent.retrieved: App\Models\Subject (0.06%)	330μs
10 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.05%)	305μs
7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.05%)	295μs
1 x creating: components.open-graph (0.05%)	286μs
1 x eloquent.booting: App\Models\SubjectCat (0.05%)	280μs
1 x eloquent.booted: App\Models\Subject (0.05%)	269μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.04%)	225μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.04%)	215μs
1 x creating: components.forms.tutor-subscription-join (0.03%)	195μs
1 x composing: components.forms.contact-us (0.03%)	188μs
1 x composing: components.footer (0.03%)	187μs
2 x eloquent.retrieved: App\Models\SubjectCat (0.03%)	179μs
1 x composing: components.breadcrumbs (0.03%)	170μs
1 x composing: components.forms.tutor-subscription-waitlist (0.03%)	165μs
1 x creating: components.forms.get-started (0.03%)	164μs
1 x composing: homework.show (0.03%)	162μs
1 x eloquent.booting: App\Models\Subject (0.03%)	157μs
1 x composing: components.forms.tutor-support (0.03%)	146μs
1 x eloquent.booted: App\Models\SubjectCat (0.02%)	127μs
1 x creating: components.forms.free-tool-download (0.02%)	120μs
1 x creating: components.forms.tutor-subscription-waitlist (0.02%)	115μs
1 x creating: components.forms.claim-free-worksheet (0.02%)	113μs
1 x creating: components.forms.tutor-support (0.02%)	110μs
1 x composing: components.canonical (0.02%)	104μs
1 x composing: components.open-graph (0.01%)	84μs
1 x composing: site.headers.header (0.01%)	81μs
1 x creating: components.footer (0.01%)	79μs
1 x composing: components.forms.get-started (0.01%)	75μs
1 x composing: components.forms.free-tool-download (0.01%)	67μs
1 x composing: components.forms.claim-free-worksheet (0.01%)	67μs
1 x composing: components.forms.tutor-subscription-join (0.01%)	67μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.01%)	62μs
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14 templates were rendered

1x homework.showshow.blade.phpblade
1x components.breadcrumbsbreadcrumbs.blade.phpblade
1x site.layouts.appapp.blade.phpblade
1x components.canonicalcanonical.blade.phpblade
1x components.open-graphopen-graph.blade.phpblade
1x site.headers.headerheader.blade.phpblade
1x components.footerfooter.blade.phpblade
1x components.forms.contact-uscontact-us.blade.phpblade
1x components.forms.get-startedget-started.blade.phpblade
1x components.forms.free-tool-downloadfree-tool-download.blade.phpblade
1x components.forms.claim-free-worksheetclaim-free-worksheet.blade.phpblade
1x components.forms.tutor-subscription-waitlisttutor-subscription-waitlist.blade.phpblade
1x components.forms.tutor-subscription-jointutor-subscription-join.blade.phpblade
1x components.forms.tutor-supporttutor-support.blade.phpblade

uri: GET college-homework-library/{category}/{subject}/{id}
middleware: web, utm.parameters
controller: App\Http\Controllers\HomeworkLibraryController@show
namespace
where
as: homework.show
file: app/Http/Controllers/HomeworkLibraryController.php:79-176

10 statements were executed, 4 of which were duplicates, 6 unique. Show only duplicated50.26ms

Connection Establishedtwenty4_siteHomeworkLibraryController.php#91

Backtrace

13. app/Http/Controllers/HomeworkLibraryController.php:91
14. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
15. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
16. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205

select * from `solutionslibrary` where `status` = 'published' and `price` > 0 and `solutionslibrary`.`id` = '62974' limit 1

19.26mstwenty4_siteHomeworkLibraryController.php#97

Bindings	0: published 1: 0 2: 62974
Backtrace	16. app/Http/Controllers/HomeworkLibraryController.php:97 17. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54 18. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43 19. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260 20. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205

select * from `subjects` where `subjects`.`id` in (6)

1.4mstwenty4_siteHomeworkLibraryController.php#97

Backtrace

21. app/Http/Controllers/HomeworkLibraryController.php:97
22. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
23. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
24. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
25. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205

select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` in (62974)

2.52mstwenty4_siteHomeworkLibraryController.php#97

Backtrace

21. app/Http/Controllers/HomeworkLibraryController.php:97
22. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
23. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
24. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
25. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205

select * from `subject_cats` where `subject_cats`.`id` = 1 limit 1

1.36mstwenty4_siteHomeworkLibrary.php#201

Bindings	0: 1
Backtrace	20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201 26. app/Http/Controllers/HomeworkLibraryController.php:105 27. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54 28. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43 29. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260

select * from `solutionslibrary` where `id` <> 62974 and `subject` = 6 and `status` = 'published' and `price` > 0 order by RAND() limit 6

18.52mstwenty4_siteHomeworkLibraryRepository.php#30

Bindings	0: 62974 1: 6 2: published 3: 0
Backtrace	14. app/Repositories/HomeworkLibraryRepository.php:30 15. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 16. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 18. app/Repositories/HomeworkLibraryRepository.php:39 19. app/Http/Controllers/HomeworkLibraryController.php:139

select * from `subjects` where `subjects`.`id` in (6)

2.21mstwenty4_siteHomeworkLibraryRepository.php#30

Backtrace

19. app/Repositories/HomeworkLibraryRepository.php:30
20. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
21. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
23. app/Repositories/HomeworkLibraryRepository.php:39
24. app/Http/Controllers/HomeworkLibraryController.php:139

select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 62974 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc

1.32mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 62974 1: question
Backtrace	15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:58 19. vendor/league/fractal/src/TransformerAbstract.php:128 20. vendor/league/fractal/src/TransformerAbstract.php:107 21. vendor/league/fractal/src/Scope.php:383

select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 62974 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc

1.42mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 62974 1: teaser
Backtrace	15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:69 19. vendor/league/fractal/src/TransformerAbstract.php:128 20. vendor/league/fractal/src/TransformerAbstract.php:107 21. vendor/league/fractal/src/Scope.php:383

select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 62974 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc

1.19mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 62974 1: solution
Backtrace	15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:80 19. vendor/league/fractal/src/TransformerAbstract.php:128 20. vendor/league/fractal/src/TransformerAbstract.php:107 21. vendor/league/fractal/src/Scope.php:383

select * from `subject_cats` where `subject_cats`.`id` = 1 limit 1

1.06mstwenty4_siteHomeworkLibrary.php#201

Bindings	0: 1
Backtrace	20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201 32. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 33. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58 34. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69 35. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70

App\Models\HomeworkLibrary\HomeworkLibraryFile: 10HomeworkLibraryFile.php
App\Models\HomeworkLibrary\HomeworkLibrary: 7HomeworkLibrary.php
App\Models\Subject: 2Subject.php
App\Models\SubjectCat: 2SubjectCat.php

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4. [3pts] Study continuity of the following function f(x) = - at x...

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