Answered: # Prove the following statement by induct... |24HA

Messages Timeline Exceptions Events439 Views14 Route Queries20 Models26 Livewire0 Mails Gate Session Request

8.1.0487ms45MBGET college-homework-library/{category}/{subject}/{id}

Booting (281ms)time
Application (206ms)time
1 x Booting (57.76%)
281ms
1 x Application (42.23%)
206ms

Illuminate\Routing\Events\Routing (1.41ms)
Illuminate\Routing\Events\RouteMatched (547μs)
Illuminate\Foundation\Events\LocaleUpdated (5.29ms)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (251μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (218μs)
Illuminate\Database\Events\ConnectionEstablished (1.21ms)
Illuminate\Database\Events\StatementPrepared (40.6ms)
Illuminate\Database\Events\QueryExecuted (1.04ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (90μs)
eloquent.booting: App\Models\Subject (52μs)
eloquent.booted: App\Models\Subject (42μs)
Illuminate\Database\Events\StatementPrepared (1.44ms)
Illuminate\Database\Events\QueryExecuted (854μs)
eloquent.retrieved: App\Models\Subject (234μs)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (116μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (39μs)
Illuminate\Database\Events\StatementPrepared (623μs)
Illuminate\Database\Events\QueryExecuted (927μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (74μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (15μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (8μs)
eloquent.booting: App\Models\SubjectCat (280μs)
eloquent.booted: App\Models\SubjectCat (40μs)
Illuminate\Database\Events\StatementPrepared (783μs)
Illuminate\Database\Events\QueryExecuted (1.27ms)
eloquent.retrieved: App\Models\SubjectCat (93μs)
Illuminate\Cache\Events\CacheHit (11.06ms)
Illuminate\Cache\Events\CacheMissed (984μs)
Illuminate\Database\Events\StatementPrepared (928μs)
Illuminate\Database\Events\QueryExecuted (7.98ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (90μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (16μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (9μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (8μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (6μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (6μs)
Illuminate\Database\Events\StatementPrepared (788μs)
Illuminate\Database\Events\QueryExecuted (951μs)
eloquent.retrieved: App\Models\Subject (82μs)
Illuminate\Cache\Events\KeyWritten (958μs)
Illuminate\Database\Events\StatementPrepared (1.55ms)
Illuminate\Database\Events\QueryExecuted (1.25ms)
Illuminate\Database\Events\StatementPrepared (643μs)
Illuminate\Database\Events\QueryExecuted (1.03ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (61μs)
Illuminate\Database\Events\StatementPrepared (808μs)
Illuminate\Database\Events\QueryExecuted (960μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (44μs)
Illuminate\Cache\Events\CacheHit (418μs)
creating: homework.show (302μs)
composing: homework.show (99μs)
creating: components.breadcrumbs (279μs)
composing: components.breadcrumbs (122μs)
Illuminate\Database\Events\StatementPrepared (1.15ms)
Illuminate\Database\Events\QueryExecuted (928μs)
eloquent.retrieved: App\Models\SubjectCat (69μs)
Illuminate\Cache\Events\CacheMissed (4.82ms)
Illuminate\Database\Events\StatementPrepared (695μs)
Illuminate\Database\Events\QueryExecuted (1.21ms)
eloquent.retrieved: App\Models\SubjectCat (94μs)
Illuminate\Cache\Events\KeyWritten (385μs)
Illuminate\Cache\Events\CacheHit (213μs)
Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (228μs)
Illuminate\Cache\Events\CacheHit (145μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (141μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (154μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheMissed (203μs)
Illuminate\Database\Events\StatementPrepared (872μs)
Illuminate\Database\Events\QueryExecuted (842μs)
eloquent.retrieved: App\Models\SubjectCat (79μs)
Illuminate\Cache\Events\KeyWritten (445μs)
Illuminate\Cache\Events\CacheHit (349μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (126μs)
Illuminate\Cache\Events\CacheHit (137μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (661μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheMissed (227μs)
Illuminate\Database\Events\StatementPrepared (907μs)
Illuminate\Database\Events\QueryExecuted (926μs)
eloquent.retrieved: App\Models\SubjectCat (115μs)
Illuminate\Cache\Events\KeyWritten (307μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (130μs)
Illuminate\Cache\Events\CacheHit (124μs)
Illuminate\Cache\Events\CacheHit (101μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (149μs)
Illuminate\Cache\Events\CacheHit (146μs)
Illuminate\Cache\Events\CacheHit (123μs)
Illuminate\Cache\Events\CacheHit (130μs)
Illuminate\Cache\Events\CacheHit (103μs)
Illuminate\Cache\Events\CacheHit (127μs)
Illuminate\Cache\Events\CacheHit (112μs)
Illuminate\Cache\Events\CacheHit (304μs)
Illuminate\Cache\Events\CacheHit (132μs)
Illuminate\Cache\Events\CacheHit (313μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (214μs)
Illuminate\Cache\Events\CacheHit (175μs)
Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (220μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (204μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (206μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (202μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (208μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheMissed (307μs)
Illuminate\Database\Events\StatementPrepared (944μs)
Illuminate\Database\Events\QueryExecuted (1.11ms)
eloquent.retrieved: App\Models\SubjectCat (96μs)
Illuminate\Cache\Events\KeyWritten (375μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (235μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (152μs)
Illuminate\Cache\Events\CacheHit (105μs)
Illuminate\Cache\Events\CacheHit (118μs)
Illuminate\Cache\Events\CacheHit (207μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (117μs)
Illuminate\Cache\Events\CacheHit (208μs)
Illuminate\Cache\Events\CacheHit (266μs)
Illuminate\Cache\Events\CacheHit (218μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (201μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (219μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (206μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (201μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (216μs)
Illuminate\Cache\Events\CacheHit (207μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (210μs)
Illuminate\Cache\Events\CacheHit (203μs)
Illuminate\Cache\Events\CacheHit (214μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (204μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheHit (203μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheMissed (292μs)
Illuminate\Database\Events\StatementPrepared (955μs)
Illuminate\Database\Events\QueryExecuted (1.26ms)
eloquent.retrieved: App\Models\SubjectCat (104μs)
Illuminate\Cache\Events\KeyWritten (442μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (225μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (245μs)
Illuminate\Cache\Events\CacheHit (238μs)
Illuminate\Cache\Events\CacheHit (202μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheMissed (271μs)
Illuminate\Database\Events\StatementPrepared (672μs)
Illuminate\Database\Events\QueryExecuted (1.05ms)
eloquent.retrieved: App\Models\SubjectCat (69μs)
Illuminate\Cache\Events\KeyWritten (363μs)
Illuminate\Cache\Events\CacheHit (263μs)
Illuminate\Cache\Events\CacheHit (254μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (244μs)
Illuminate\Cache\Events\CacheHit (248μs)
Illuminate\Cache\Events\CacheHit (205μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (209μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (959μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (213μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (153μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (151μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (214μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheMissed (291μs)
Illuminate\Database\Events\StatementPrepared (1.64ms)
Illuminate\Database\Events\QueryExecuted (3.15ms)
eloquent.retrieved: App\Models\SubjectCat (85μs)
Illuminate\Cache\Events\KeyWritten (1.46ms)
Illuminate\Cache\Events\CacheHit (314μs)
Illuminate\Cache\Events\CacheHit (213μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (230μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (248μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (158μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (237μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (1.53ms)
Illuminate\Cache\Events\CacheHit (215μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (985μs)
Illuminate\Cache\Events\CacheHit (242μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (204μs)
Illuminate\Cache\Events\CacheHit (219μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheHit (235μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (159μs)
Illuminate\Cache\Events\CacheHit (190μs)
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Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheMissed (184μs)
Illuminate\Database\Events\StatementPrepared (905μs)
Illuminate\Database\Events\QueryExecuted (2.54ms)
eloquent.retrieved: App\Models\SubjectCat (149μs)
Illuminate\Cache\Events\KeyWritten (489μs)
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Illuminate\Cache\Events\CacheHit (318μs)
Illuminate\Cache\Events\CacheHit (205μs)
Illuminate\Cache\Events\CacheHit (261μs)
Illuminate\Cache\Events\CacheHit (319μs)
Illuminate\Cache\Events\CacheHit (239μs)
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Illuminate\Cache\Events\CacheHit (200μs)
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Illuminate\Cache\Events\CacheHit (196μs)
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Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (229μs)
Illuminate\Cache\Events\CacheHit (180μs)
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Illuminate\Cache\Events\CacheHit (191μs)
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Illuminate\Cache\Events\CacheHit (244μs)
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Illuminate\Cache\Events\CacheHit (194μs)
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Illuminate\Cache\Events\CacheHit (169μs)
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Illuminate\Database\Events\QueryExecuted (963μs)
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Illuminate\Cache\Events\CacheHit (108μs)
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creating: components.canonical (462μs)
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creating: components.open-graph (153μs)
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creating: site.headers.header (242μs)
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creating: components.footer (119μs)
composing: components.footer (82μs)
Illuminate\Cache\Events\CacheHit (730μs)
Illuminate\Cache\Events\CacheMissed (306μs)
Illuminate\Database\Events\StatementPrepared (1.56ms)
Illuminate\Database\Events\QueryExecuted (2.1ms)
eloquent.retrieved: App\Models\SubjectCat (101μs)
Illuminate\Cache\Events\KeyWritten (2ms)
Illuminate\Cache\Events\CacheHit (274μs)
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Illuminate\Cache\Events\CacheHit (117μs)
Illuminate\Cache\Events\CacheHit (124μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (354μs)
Illuminate\Cache\Events\CacheHit (351μs)
Illuminate\Cache\Events\CacheHit (208μs)
Illuminate\Cache\Events\CacheHit (229μs)
Illuminate\Cache\Events\CacheHit (240μs)
Illuminate\Cache\Events\CacheHit (244μs)
Illuminate\Cache\Events\CacheHit (226μs)
creating: components.forms.contact-us (235μs)
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creating: components.forms.get-started (129μs)
composing: components.forms.get-started (67μs)
creating: components.forms.free-tool-download (96μs)
composing: components.forms.free-tool-download (64μs)
creating: components.forms.claim-free-worksheet (92μs)
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creating: components.forms.tutor-subscription-waitlist (92μs)
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creating: components.forms.tutor-support (101μs)
composing: components.forms.tutor-support (69μs)

311 x Illuminate\Cache\Events\CacheHit (15.59%)	75.89ms
20 x Illuminate\Database\Events\StatementPrepared (12.19%)	59.35ms
20 x Illuminate\Database\Events\QueryExecuted (6.64%)	32.35ms
11 x Illuminate\Cache\Events\CacheMissed (1.68%)	8.16ms
11 x Illuminate\Cache\Events\KeyWritten (1.54%)	7.52ms
1 x Illuminate\Foundation\Events\LocaleUpdated (1.09%)	5.29ms
1 x creating: site.layouts.app (0.44%)	2.16ms
1 x Illuminate\Routing\Events\Routing (0.29%)	1.41ms
1 x Illuminate\Database\Events\ConnectionEstablished (0.25%)	1.21ms
12 x eloquent.retrieved: App\Models\SubjectCat (0.24%)	1.14ms
1 x Illuminate\Routing\Events\RouteMatched (0.11%)	547μs
1 x creating: components.canonical (0.09%)	462μs
2 x eloquent.retrieved: App\Models\Subject (0.06%)	316μs
1 x creating: homework.show (0.06%)	302μs
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1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.05%)	251μs
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1 x creating: components.forms.contact-us (0.05%)	235μs
7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.05%)	225μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.04%)	218μs
5 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.04%)	202μs
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1x homework.showshow.blade.phpblade
1x components.breadcrumbsbreadcrumbs.blade.phpblade
1x site.layouts.appapp.blade.phpblade
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1x components.forms.contact-uscontact-us.blade.phpblade
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1x components.forms.tutor-subscription-waitlisttutor-subscription-waitlist.blade.phpblade
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where
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file: app/Http/Controllers/HomeworkLibraryController.php:79-176

20 statements were executed, 5 of which were duplicates, 15 unique. Show only duplicated74.58ms

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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
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select * from `solutionslibrary` where `status` = 'published' and `price` > 0 and `solutionslibrary`.`id` = '11633' limit 1

40.68mstwenty4_siteHomeworkLibraryController.php#97

Bindings	0: published 1: 0 2: 11633
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 (15)

1.06mstwenty4_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 (11633)

1.07mstwenty4_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` = 3 limit 1

1.38mstwenty4_siteHomeworkLibrary.php#201

Bindings	0: 3
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select * from `solutionslibrary` where `id` <> 11633 and `subject` = 15 and `status` = 'published' and `price` > 0 order by RAND() limit 6

8.15mstwenty4_siteHomeworkLibraryRepository.php#30

Bindings	0: 11633 1: 15 2: published 3: 0
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select * from `subjects` where `subjects`.`id` in (15)

1.15mstwenty4_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` = 11633 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc

1.38mstwenty4_siteHomeworkLibrary.php#260

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select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 11633 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc

1.01mstwenty4_siteHomeworkLibrary.php#260

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select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 11633 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc

1.03mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 11633 1: solution
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select * from `subject_cats` where `subject_cats`.`id` = 3 limit 1

1.13mstwenty4_siteHomeworkLibrary.php#201

Bindings	0: 3
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select * from `subject_cats` where `subject_cats`.`id` = 1 limit 1

1.14mstwenty4_siteSubject.php#100

Bindings	0: 1
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select * from `subject_cats` where `subject_cats`.`id` = 3 limit 1

1.21mstwenty4_siteSubject.php#100

Bindings	0: 3
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select * from `subject_cats` where `subject_cats`.`id` = 4 limit 1

1.05mstwenty4_siteSubject.php#100

Bindings	0: 4
Backtrace	18. app/Models/Subject.php:100 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 22. app/Models/Subject.php:101 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110

select * from `subject_cats` where `subject_cats`.`id` = 10 limit 1

1.25mstwenty4_siteSubject.php#100

Bindings	0: 10
Backtrace	18. app/Models/Subject.php:100 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 22. app/Models/Subject.php:101 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110

select * from `subject_cats` where `subject_cats`.`id` = 33 limit 1

1.36mstwenty4_siteSubject.php#100

Bindings	0: 33
Backtrace	18. app/Models/Subject.php:100 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 22. app/Models/Subject.php:101 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110

select * from `subject_cats` where `subject_cats`.`id` = 11 limit 1

990μstwenty4_siteSubject.php#100

Bindings	0: 11
Backtrace	18. app/Models/Subject.php:100 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 22. app/Models/Subject.php:101 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110

select * from `subject_cats` where `subject_cats`.`id` = 5 limit 1

3.96mstwenty4_siteSubject.php#100

Bindings	0: 5
Backtrace	18. app/Models/Subject.php:100 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 22. app/Models/Subject.php:101 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110

select * from `subject_cats` where `subject_cats`.`id` = 34 limit 1

2.02mstwenty4_siteSubject.php#100

Bindings	0: 34
Backtrace	18. app/Models/Subject.php:100 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 22. app/Models/Subject.php:101 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110

select * from `subject_cats` where `subject_cats`.`id` = 31 limit 1

1.35mstwenty4_siteSubject.php#100

Bindings	0: 31
Backtrace	18. app/Models/Subject.php:100 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 22. app/Models/Subject.php:101 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110

select * from `subject_cats` where `subject_cats`.`id` = 36 limit 1

2.21mstwenty4_siteSubject.php#100

Bindings	0: 36
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# Prove the following statement by induction: 1/(12) + 1/(23)...

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# Prove the following statement by induction: 1/(12) + 1/(23)...