Answered: 1) Solve the recurrence T(n) + 6T(n &minu... |24HA

Messages Timeline Exceptions Events429 Views14 Route Queries18 Models22 Livewire0 Mails Gate Session Request

8.1.0425ms45MBGET college-homework-library/{category}/{subject}/{id}

Booting (282ms)time
Application (143ms)time
1 x Booting (66.37%)
282ms
1 x Application (33.62%)
143ms

Illuminate\Routing\Events\Routing (1.4ms)
Illuminate\Routing\Events\RouteMatched (544μs)
Illuminate\Foundation\Events\LocaleUpdated (4.42ms)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (321μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (161μs)
Illuminate\Database\Events\ConnectionEstablished (765μs)
Illuminate\Database\Events\StatementPrepared (8.64ms)
Illuminate\Database\Events\QueryExecuted (1.12ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (85μs)
eloquent.booting: App\Models\Subject (1.18ms)
eloquent.booted: App\Models\Subject (46μs)
Illuminate\Database\Events\StatementPrepared (1.36ms)
Illuminate\Database\Events\QueryExecuted (1.22ms)
eloquent.retrieved: App\Models\Subject (98μs)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (95μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (67μs)
Illuminate\Database\Events\StatementPrepared (589μs)
Illuminate\Database\Events\QueryExecuted (1.01ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (80μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (17μs)
eloquent.booting: App\Models\SubjectCat (229μs)
eloquent.booted: App\Models\SubjectCat (47μs)
Illuminate\Database\Events\StatementPrepared (627μs)
Illuminate\Database\Events\QueryExecuted (982μs)
eloquent.retrieved: App\Models\SubjectCat (101μs)
Illuminate\Cache\Events\CacheHit (11.89ms)
Illuminate\Cache\Events\CacheMissed (165μs)
Illuminate\Database\Events\StatementPrepared (2.23ms)
Illuminate\Database\Events\QueryExecuted (9.09ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (111μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (16μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (8μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (7μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (6μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (6μs)
Illuminate\Database\Events\StatementPrepared (634μs)
Illuminate\Database\Events\QueryExecuted (840μs)
eloquent.retrieved: App\Models\Subject (79μs)
Illuminate\Cache\Events\KeyWritten (963μs)
Illuminate\Database\Events\StatementPrepared (1.25ms)
Illuminate\Database\Events\QueryExecuted (963μs)
Illuminate\Database\Events\StatementPrepared (655μs)
Illuminate\Database\Events\QueryExecuted (939μs)
Illuminate\Database\Events\StatementPrepared (604μs)
Illuminate\Database\Events\QueryExecuted (1.07ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (51μs)
Illuminate\Cache\Events\CacheHit (503μs)
creating: homework.show (277μs)
composing: homework.show (110μs)
creating: components.breadcrumbs (286μs)
composing: components.breadcrumbs (132μs)
Illuminate\Database\Events\StatementPrepared (1.53ms)
Illuminate\Database\Events\QueryExecuted (923μs)
eloquent.retrieved: App\Models\SubjectCat (132μs)
Illuminate\Cache\Events\CacheHit (4.16ms)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (157μs)
Illuminate\Cache\Events\CacheHit (214μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (206μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheMissed (269μs)
Illuminate\Database\Events\StatementPrepared (716μs)
Illuminate\Database\Events\QueryExecuted (858μs)
eloquent.retrieved: App\Models\SubjectCat (73μs)
Illuminate\Cache\Events\KeyWritten (310μs)
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Illuminate\Cache\Events\CacheHit (221μs)
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Illuminate\Cache\Events\CacheHit (152μs)
Illuminate\Cache\Events\CacheHit (126μs)
Illuminate\Cache\Events\CacheHit (154μs)
Illuminate\Cache\Events\CacheHit (130μs)
Illuminate\Cache\Events\CacheMissed (2.11ms)
Illuminate\Database\Events\StatementPrepared (776μs)
Illuminate\Database\Events\QueryExecuted (888μs)
eloquent.retrieved: App\Models\SubjectCat (69μs)
Illuminate\Cache\Events\KeyWritten (268μs)
Illuminate\Cache\Events\CacheHit (180μs)
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Illuminate\Cache\Events\CacheHit (126μs)
Illuminate\Cache\Events\CacheHit (131μs)
Illuminate\Cache\Events\CacheHit (150μs)
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Illuminate\Cache\Events\CacheHit (160μs)
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Illuminate\Cache\Events\CacheHit (112μs)
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Illuminate\Cache\Events\CacheHit (107μs)
Illuminate\Cache\Events\CacheHit (123μs)
Illuminate\Cache\Events\CacheHit (157μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (112μs)
Illuminate\Cache\Events\CacheHit (123μs)
Illuminate\Cache\Events\CacheHit (107μs)
Illuminate\Cache\Events\CacheHit (123μs)
Illuminate\Cache\Events\CacheHit (108μs)
Illuminate\Cache\Events\CacheHit (124μs)
Illuminate\Cache\Events\CacheHit (108μs)
Illuminate\Cache\Events\CacheHit (123μs)
Illuminate\Cache\Events\CacheHit (111μs)
Illuminate\Cache\Events\CacheHit (132μs)
Illuminate\Cache\Events\CacheHit (108μs)
Illuminate\Cache\Events\CacheHit (122μs)
Illuminate\Cache\Events\CacheHit (111μs)
Illuminate\Cache\Events\CacheHit (127μs)
Illuminate\Cache\Events\CacheHit (125μs)
Illuminate\Cache\Events\CacheHit (132μs)
Illuminate\Cache\Events\CacheHit (153μs)
Illuminate\Cache\Events\CacheHit (136μs)
Illuminate\Cache\Events\CacheHit (101μs)
Illuminate\Cache\Events\CacheHit (133μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheMissed (211μs)
Illuminate\Database\Events\StatementPrepared (747μs)
Illuminate\Database\Events\QueryExecuted (1.11ms)
eloquent.retrieved: App\Models\SubjectCat (61μs)
Illuminate\Cache\Events\KeyWritten (332μs)
Illuminate\Cache\Events\CacheHit (1.19ms)
Illuminate\Cache\Events\CacheHit (201μs)
Illuminate\Cache\Events\CacheHit (149μs)
Illuminate\Cache\Events\CacheHit (136μs)
Illuminate\Cache\Events\CacheHit (105μs)
Illuminate\Cache\Events\CacheHit (126μs)
Illuminate\Cache\Events\CacheHit (104μs)
Illuminate\Cache\Events\CacheMissed (214μs)
Illuminate\Database\Events\StatementPrepared (806μs)
Illuminate\Database\Events\QueryExecuted (1.05ms)
eloquent.retrieved: App\Models\SubjectCat (66μs)
Illuminate\Cache\Events\KeyWritten (1.51ms)
Illuminate\Cache\Events\CacheHit (246μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (122μs)
Illuminate\Cache\Events\CacheHit (163μs)
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Illuminate\Cache\Events\CacheMissed (135μs)
Illuminate\Database\Events\StatementPrepared (846μs)
Illuminate\Database\Events\QueryExecuted (804μs)
eloquent.retrieved: App\Models\SubjectCat (76μs)
Illuminate\Cache\Events\KeyWritten (328μs)
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Illuminate\Cache\Events\CacheHit (134μs)
Illuminate\Cache\Events\CacheHit (139μs)
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Illuminate\Cache\Events\CacheHit (144μs)
Illuminate\Cache\Events\CacheHit (256μs)
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Illuminate\Cache\Events\CacheHit (101μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (100μs)
Illuminate\Cache\Events\CacheHit (141μs)
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Illuminate\Cache\Events\CacheHit (132μs)
Illuminate\Cache\Events\CacheHit (103μs)
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Illuminate\Cache\Events\CacheHit (107μs)
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313 x Illuminate\Cache\Events\CacheHit (14.92%)	63.48ms
18 x Illuminate\Database\Events\QueryExecuted (6.13%)	26.07ms
18 x Illuminate\Database\Events\StatementPrepared (5.73%)	24.37ms
9 x Illuminate\Cache\Events\KeyWritten (1.59%)	6.76ms
1 x Illuminate\Foundation\Events\LocaleUpdated (1.04%)	4.42ms
9 x Illuminate\Cache\Events\CacheMissed (0.87%)	3.71ms
1 x Illuminate\Routing\Events\Routing (0.33%)	1.40ms
1 x eloquent.booting: App\Models\Subject (0.28%)	1.18ms
10 x eloquent.retrieved: App\Models\SubjectCat (0.19%)	795μs
1 x Illuminate\Database\Events\ConnectionEstablished (0.18%)	765μs
1 x Illuminate\Routing\Events\RouteMatched (0.13%)	544μs
1 x creating: site.headers.header (0.11%)	477μs
1 x creating: components.canonical (0.09%)	402μs
1 x creating: site.layouts.app (0.09%)	362μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.08%)	321μs
1 x creating: components.breadcrumbs (0.07%)	286μs
1 x creating: homework.show (0.07%)	277μs
1 x creating: components.forms.tutor-subscription-join (0.06%)	242μs
7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.06%)	239μs
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1 x creating: components.forms.contact-us (0.05%)	203μs
2 x eloquent.retrieved: App\Models\Subject (0.04%)	177μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.04%)	161μs
1 x composing: components.forms.tutor-subscription-waitlist (0.04%)	156μs
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1 x composing: components.forms.contact-us (0.03%)	114μs
1 x composing: homework.show (0.03%)	110μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.02%)	95μs
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1x homework.showshow.blade.phpblade
1x components.breadcrumbsbreadcrumbs.blade.phpblade
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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, 5 of which were duplicates, 13 unique. Show only duplicated38.53ms

Connection Establishedtwenty4_siteHomeworkLibraryController.php#91

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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` = '6274' limit 1

9.04mstwenty4_siteHomeworkLibraryController.php#97

Bindings	0: published 1: 0 2: 6274
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 (142)

1.48mstwenty4_siteHomeworkLibraryController.php#97

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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 (6274)

1.03mstwenty4_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 `subject_cats` where `subject_cats`.`id` = 3 limit 1

1.1mstwenty4_siteHomeworkLibrary.php#201

Bindings	0: 3
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select * from `solutionslibrary` where `id` <> 6274 and `subject` = 142 and `status` = 'published' and `price` > 0 order by RAND() limit 6

10.63mstwenty4_siteHomeworkLibraryRepository.php#30

Bindings	0: 6274 1: 142 2: published 3: 0
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select * from `subjects` where `subjects`.`id` in (142)

940μstwenty4_siteHomeworkLibraryRepository.php#30

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

select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 6274 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc

1.01mstwenty4_siteHomeworkLibrary.php#260

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select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 6274 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc

1.04mstwenty4_siteHomeworkLibrary.php#260

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select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 6274 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc

1.02mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 6274 1: solution
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select * from `subject_cats` where `subject_cats`.`id` = 3 limit 1

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

1.11mstwenty4_siteSubject.php#100

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

1.13mstwenty4_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` = 33 limit 1

1.23mstwenty4_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

1.32mstwenty4_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

1.23mstwenty4_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

1.45mstwenty4_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

1.13mstwenty4_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

1.52mstwenty4_siteSubject.php#100

Bindings	0: 36
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1) Solve the recurrence T(n) + 6T(n − 1) + 12T(n − 2) + 8T(n-3) = 0...

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