Answered: Problem 2 (10 points) Let Hn : = =1+2+1-... |24HA

Messages Timeline Exceptions Events435 Views14 Route Queries18 Models28 Livewire0 Mails Gate Session Request

8.1.0434ms45MBGET college-homework-library/{category}/{subject}/{id}

Booting (284ms)time
Application (151ms)time
1 x Booting (65.26%)
284ms
1 x Application (34.73%)
151ms

Illuminate\Routing\Events\Routing (1.4ms)
Illuminate\Routing\Events\RouteMatched (582μs)
Illuminate\Foundation\Events\LocaleUpdated (4.32ms)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (176μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (154μs)
Illuminate\Database\Events\ConnectionEstablished (856μs)
Illuminate\Database\Events\StatementPrepared (17.1ms)
Illuminate\Database\Events\QueryExecuted (1.41ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (128μs)
eloquent.booting: App\Models\Subject (136μs)
eloquent.booted: App\Models\Subject (62μs)
Illuminate\Database\Events\StatementPrepared (2.05ms)
Illuminate\Database\Events\QueryExecuted (896μs)
eloquent.retrieved: App\Models\Subject (117μs)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (114μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (43μs)
Illuminate\Database\Events\StatementPrepared (686μs)
Illuminate\Database\Events\QueryExecuted (2.09ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (69μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (23μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (9μs)
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 (213μs)
eloquent.booted: App\Models\SubjectCat (39μs)
Illuminate\Database\Events\StatementPrepared (709μs)
Illuminate\Database\Events\QueryExecuted (1.95ms)
eloquent.retrieved: App\Models\SubjectCat (84μs)
Illuminate\Cache\Events\CacheHit (13.26ms)
Illuminate\Cache\Events\CacheMissed (755μs)
Illuminate\Database\Events\StatementPrepared (927μs)
Illuminate\Database\Events\QueryExecuted (8ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (73μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (15μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (8μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (6μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (6μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (6μs)
Illuminate\Database\Events\StatementPrepared (871μs)
Illuminate\Database\Events\QueryExecuted (951μs)
eloquent.retrieved: App\Models\Subject (79μs)
Illuminate\Cache\Events\KeyWritten (689μs)
Illuminate\Database\Events\StatementPrepared (1.3ms)
Illuminate\Database\Events\QueryExecuted (1.11ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (50μs)
Illuminate\Database\Events\StatementPrepared (840μs)
Illuminate\Database\Events\QueryExecuted (1.03ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (38μs)
Illuminate\Database\Events\StatementPrepared (755μs)
Illuminate\Database\Events\QueryExecuted (960μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (41μs)
Illuminate\Cache\Events\CacheHit (323μs)
creating: homework.show (191μs)
composing: homework.show (79μs)
creating: components.breadcrumbs (368μs)
composing: components.breadcrumbs (91μs)
Illuminate\Database\Events\StatementPrepared (1.09ms)
Illuminate\Database\Events\QueryExecuted (1.02ms)
eloquent.retrieved: App\Models\SubjectCat (85μs)
Illuminate\Cache\Events\CacheHit (3.94ms)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (123μs)
Illuminate\Cache\Events\CacheHit (124μs)
Illuminate\Cache\Events\CacheHit (145μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (117μs)
Illuminate\Cache\Events\CacheHit (119μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (410μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (215μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (298μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (227μs)
Illuminate\Cache\Events\CacheHit (204μs)
Illuminate\Cache\Events\CacheHit (208μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (211μs)
Illuminate\Cache\Events\CacheHit (231μs)
Illuminate\Cache\Events\CacheMissed (259μs)
Illuminate\Database\Events\StatementPrepared (715μs)
Illuminate\Database\Events\QueryExecuted (1.09ms)
eloquent.retrieved: App\Models\SubjectCat (88μs)
Illuminate\Cache\Events\KeyWritten (1.44ms)
Illuminate\Cache\Events\CacheHit (233μs)
Illuminate\Cache\Events\CacheHit (217μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (268μs)
Illuminate\Cache\Events\CacheHit (220μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (308μs)
Illuminate\Cache\Events\CacheHit (240μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (212μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (159μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (159μs)
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Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (207μs)
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Illuminate\Cache\Events\CacheHit (180μs)
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eloquent.retrieved: App\Models\SubjectCat (100μs)
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Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (146μs)
Illuminate\Cache\Events\CacheHit (111μs)
Illuminate\Cache\Events\CacheHit (145μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (145μs)
Illuminate\Cache\Events\CacheHit (111μs)
Illuminate\Cache\Events\CacheHit (136μs)
Illuminate\Cache\Events\CacheHit (117μs)
Illuminate\Cache\Events\CacheHit (127μs)
Illuminate\Cache\Events\CacheHit (113μs)
Illuminate\Cache\Events\CacheHit (133μs)
Illuminate\Cache\Events\CacheHit (111μs)
Illuminate\Cache\Events\CacheHit (125μs)
Illuminate\Cache\Events\CacheHit (108μs)
Illuminate\Cache\Events\CacheHit (126μs)
Illuminate\Cache\Events\CacheHit (108μs)
Illuminate\Cache\Events\CacheHit (125μs)
Illuminate\Cache\Events\CacheHit (107μs)
Illuminate\Cache\Events\CacheHit (127μs)
Illuminate\Cache\Events\CacheHit (110μs)
Illuminate\Cache\Events\CacheHit (129μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (133μs)
Illuminate\Cache\Events\CacheHit (111μs)
Illuminate\Cache\Events\CacheHit (135μs)
Illuminate\Cache\Events\CacheHit (113μs)
Illuminate\Cache\Events\CacheHit (128μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (153μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (129μs)
Illuminate\Cache\Events\CacheHit (101μs)
Illuminate\Cache\Events\CacheHit (122μs)
Illuminate\Cache\Events\CacheHit (123μs)
Illuminate\Cache\Events\CacheHit (139μs)
Illuminate\Cache\Events\CacheHit (112μs)
Illuminate\Cache\Events\CacheMissed (131μs)
Illuminate\Database\Events\StatementPrepared (694μs)
Illuminate\Database\Events\QueryExecuted (855μs)
eloquent.retrieved: App\Models\SubjectCat (71μs)
Illuminate\Cache\Events\KeyWritten (313μs)
Illuminate\Cache\Events\CacheHit (1.15ms)
Illuminate\Cache\Events\CacheHit (212μs)
Illuminate\Cache\Events\CacheHit (136μs)
Illuminate\Cache\Events\CacheHit (137μs)
Illuminate\Cache\Events\CacheHit (127μs)
Illuminate\Cache\Events\CacheHit (128μs)
Illuminate\Cache\Events\CacheHit (137μs)
Illuminate\Cache\Events\CacheMissed (162μs)
Illuminate\Database\Events\StatementPrepared (752μs)
Illuminate\Database\Events\QueryExecuted (783μs)
eloquent.retrieved: App\Models\SubjectCat (62μs)
Illuminate\Cache\Events\KeyWritten (265μs)
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Illuminate\Cache\Events\CacheHit (126μs)
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Illuminate\Cache\Events\CacheHit (112μs)
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Illuminate\Cache\Events\CacheHit (127μs)
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Illuminate\Cache\Events\CacheHit (602μs)
Illuminate\Cache\Events\CacheHit (111μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (101μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (98μs)
Illuminate\Cache\Events\CacheHit (125μs)
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Illuminate\Cache\Events\CacheHit (114μs)
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Illuminate\Cache\Events\CacheHit (225μs)
Illuminate\Cache\Events\CacheHit (145μs)
Illuminate\Cache\Events\CacheHit (122μs)
Illuminate\Cache\Events\CacheHit (100μs)
Illuminate\Cache\Events\CacheHit (135μs)
Illuminate\Cache\Events\CacheHit (111μs)
Illuminate\Cache\Events\CacheMissed (1.72ms)
Illuminate\Database\Events\StatementPrepared (619μs)
Illuminate\Database\Events\QueryExecuted (912μs)
eloquent.retrieved: App\Models\SubjectCat (261μs)
Illuminate\Cache\Events\KeyWritten (262μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (140μs)
Illuminate\Cache\Events\CacheHit (105μs)
Illuminate\Cache\Events\CacheHit (116μs)
Illuminate\Cache\Events\CacheHit (98μs)
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Illuminate\Cache\Events\CacheHit (138μs)
Illuminate\Cache\Events\CacheHit (151μs)
Illuminate\Cache\Events\CacheHit (106μs)
Illuminate\Cache\Events\CacheHit (116μs)
Illuminate\Cache\Events\CacheHit (98μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (97μs)
Illuminate\Cache\Events\CacheHit (111μs)
Illuminate\Cache\Events\CacheHit (97μs)
Illuminate\Cache\Events\CacheHit (111μs)
Illuminate\Cache\Events\CacheHit (94μs)
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Illuminate\Cache\Events\CacheHit (131μs)
Illuminate\Cache\Events\CacheHit (103μs)
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eloquent.retrieved: App\Models\SubjectCat (68μs)
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Illuminate\Cache\Events\CacheHit (120μs)
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creating: components.forms.free-tool-download (68μs)
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313 x Illuminate\Cache\Events\CacheHit (14.9%)	64.72ms
18 x Illuminate\Database\Events\StatementPrepared (7.36%)	31.96ms
18 x Illuminate\Database\Events\QueryExecuted (6.13%)	26.66ms
9 x Illuminate\Cache\Events\KeyWritten (1.67%)	7.27ms
1 x Illuminate\Foundation\Events\LocaleUpdated (1%)	4.32ms
9 x Illuminate\Cache\Events\CacheMissed (0.84%)	3.66ms
1 x Illuminate\Routing\Events\Routing (0.32%)	1.40ms
10 x eloquent.retrieved: App\Models\SubjectCat (0.22%)	945μs
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1 x Illuminate\Routing\Events\RouteMatched (0.13%)	582μs
1 x creating: components.breadcrumbs (0.08%)	368μs
1 x creating: site.layouts.app (0.08%)	360μs
1 x creating: components.canonical (0.07%)	283μs
9 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.06%)	245μs
7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.06%)	242μs
1 x eloquent.booting: App\Models\SubjectCat (0.05%)	213μs
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1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.04%)	176μs
1 x creating: site.headers.header (0.04%)	175μs
1 x creating: components.forms.contact-us (0.04%)	173μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.04%)	154μs
1 x eloquent.booting: App\Models\Subject (0.03%)	136μs
1 x creating: components.open-graph (0.03%)	133μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.03%)	114μs
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1 x composing: components.breadcrumbs (0.02%)	91μs
1 x composing: homework.show (0.02%)	79μs
1 x composing: components.footer (0.02%)	68μs
1 x creating: components.forms.free-tool-download (0.02%)	68μs
1 x composing: components.canonical (0.02%)	68μs
1 x creating: components.forms.tutor-subscription-waitlist (0.02%)	67μs
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1 x eloquent.booted: App\Models\Subject (0.01%)	62μs
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1 x composing: components.open-graph (0.01%)	50μs
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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

18 statements were executed, 4 of which were duplicates, 14 unique. Show only duplicated46.44ms

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` = '63540' limit 1

17.57mstwenty4_siteHomeworkLibraryController.php#97

Bindings	0: published 1: 0 2: 63540
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)

1.13mstwenty4_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
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select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` in (63540)

2.17mstwenty4_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

2.17mstwenty4_siteHomeworkLibrary.php#201

Bindings	0: 3
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select * from `solutionslibrary` where `id` <> 63540 and `subject` = 15 and `status` = 'published' and `price` > 0 order by RAND() limit 6

8.26mstwenty4_siteHomeworkLibraryRepository.php#30

Bindings	0: 63540 1: 15 2: published 3: 0
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select * from `subjects` where `subjects`.`id` in (15)

1.1mstwenty4_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` = 63540 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc

1.24mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 63540 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` = 63540 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc

1.23mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 63540 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` = 63540 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc

1.12mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 63540 1: solution
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select * from `subject_cats` where `subject_cats`.`id` = 3 limit 1

1.21mstwenty4_siteHomeworkLibrary.php#201

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

1.26mstwenty4_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

1.23mstwenty4_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

1.12mstwenty4_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

1.13mstwenty4_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

1.01mstwenty4_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

1.14mstwenty4_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

1.07mstwenty4_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

1.28mstwenty4_siteSubject.php#100

Bindings	0: 36
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 28. view::components.footer:170

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App\Models\HomeworkLibrary\HomeworkLibraryFile: 9HomeworkLibraryFile.php
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Problem 2 (10 points) Let Hn : = =1+2+1- 1 + 1. Show that Hn is O(...

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