Answered: 1. Prove that 3n &lt; n! if n is an i... |24HA

Messages Timeline Exceptions Events445 Views14 Route Queries20 Models32 Livewire0 Mails Gate Session Request

8.1.0617ms45MBGET college-homework-library/{category}/{subject}/{id}

Booting (356ms)time
Application (261ms)time
1 x Booting (57.64%)
356ms
1 x Application (42.36%)
261ms

Illuminate\Routing\Events\Routing (1.25ms)
Illuminate\Routing\Events\RouteMatched (998μs)
Illuminate\Foundation\Events\LocaleUpdated (11.77ms)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (232μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (201μs)
Illuminate\Database\Events\ConnectionEstablished (1.12ms)
Illuminate\Database\Events\StatementPrepared (10.49ms)
Illuminate\Database\Events\QueryExecuted (1.06ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (134μs)
eloquent.booting: App\Models\Subject (122μs)
eloquent.booted: App\Models\Subject (56μs)
Illuminate\Database\Events\StatementPrepared (2.25ms)
Illuminate\Database\Events\QueryExecuted (1.12ms)
eloquent.retrieved: App\Models\Subject (139μs)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (143μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (58μs)
Illuminate\Database\Events\StatementPrepared (693μs)
Illuminate\Database\Events\QueryExecuted (819μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (89μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (19μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (12μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (9μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (8μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (9μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (8μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (8μs)
eloquent.booting: App\Models\SubjectCat (390μs)
eloquent.booted: App\Models\SubjectCat (60μs)
Illuminate\Database\Events\StatementPrepared (776μs)
Illuminate\Database\Events\QueryExecuted (1.19ms)
eloquent.retrieved: App\Models\SubjectCat (101μs)
Illuminate\Cache\Events\CacheHit (34.92ms)
Illuminate\Cache\Events\CacheMissed (283μs)
Illuminate\Database\Events\StatementPrepared (1.52ms)
Illuminate\Database\Events\QueryExecuted (7.06ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (125μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (23μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (12μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (10μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (11μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (10μs)
Illuminate\Database\Events\StatementPrepared (735μs)
Illuminate\Database\Events\QueryExecuted (1.05ms)
eloquent.retrieved: App\Models\Subject (122μs)
Illuminate\Cache\Events\KeyWritten (1.1ms)
Illuminate\Database\Events\StatementPrepared (1.93ms)
Illuminate\Database\Events\QueryExecuted (1.01ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (79μs)
Illuminate\Database\Events\StatementPrepared (6.73ms)
Illuminate\Database\Events\QueryExecuted (1.96ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (84μs)
Illuminate\Database\Events\StatementPrepared (1.84ms)
Illuminate\Database\Events\QueryExecuted (956μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (68μs)
Illuminate\Cache\Events\CacheHit (794μs)
creating: homework.show (357μs)
composing: homework.show (231μs)
creating: components.breadcrumbs (376μs)
composing: components.breadcrumbs (159μs)
Illuminate\Database\Events\StatementPrepared (1.29ms)
Illuminate\Database\Events\QueryExecuted (928μs)
eloquent.retrieved: App\Models\SubjectCat (94μs)
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Illuminate\Database\Events\StatementPrepared (8.38ms)
Illuminate\Database\Events\QueryExecuted (1.54ms)
eloquent.retrieved: App\Models\SubjectCat (120μs)
Illuminate\Cache\Events\KeyWritten (451μs)
Illuminate\Cache\Events\CacheHit (339μs)
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Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (150μs)
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Illuminate\Cache\Events\CacheHit (269μs)
Illuminate\Cache\Events\CacheMissed (385μs)
Illuminate\Database\Events\StatementPrepared (2.86ms)
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eloquent.retrieved: App\Models\SubjectCat (101μs)
Illuminate\Cache\Events\KeyWritten (483μs)
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eloquent.retrieved: App\Models\SubjectCat (106μs)
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Illuminate\Cache\Events\CacheMissed (315μs)
Illuminate\Database\Events\StatementPrepared (782μs)
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Illuminate\Cache\Events\CacheHit (411μs)
Illuminate\Cache\Events\CacheHit (204μs)
Illuminate\Cache\Events\CacheHit (297μs)
Illuminate\Cache\Events\CacheHit (295μs)
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Illuminate\Cache\Events\CacheHit (201μs)
Illuminate\Cache\Events\CacheHit (173μs)
Illuminate\Cache\Events\CacheHit (201μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (283μs)
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Illuminate\Cache\Events\CacheHit (256μs)
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Illuminate\Cache\Events\CacheHit (184μs)
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Illuminate\Cache\Events\CacheHit (258μs)
Illuminate\Cache\Events\CacheHit (210μs)
Illuminate\Cache\Events\CacheHit (223μs)
Illuminate\Cache\Events\CacheHit (200μs)
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Illuminate\Cache\Events\CacheHit (183μs)
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Illuminate\Cache\Events\CacheHit (223μs)
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Illuminate\Cache\Events\CacheMissed (382μs)
Illuminate\Database\Events\StatementPrepared (1.97ms)
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Illuminate\Cache\Events\CacheHit (480μs)
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Illuminate\Cache\Events\CacheHit (894μs)
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311 x Illuminate\Cache\Events\CacheHit (20.06%)	124ms
20 x Illuminate\Database\Events\StatementPrepared (8.48%)	52.35ms
20 x Illuminate\Database\Events\QueryExecuted (5.65%)	34.87ms
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14. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
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Bindings	0: published 1: 0 2: 13834
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)

1.15mstwenty4_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
25. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205

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890μstwenty4_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
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1.33mstwenty4_siteHomeworkLibrary.php#201

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7.53mstwenty4_siteHomeworkLibraryRepository.php#30

Bindings	0: 13834 1: 15 2: published 3: 0
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select * from `subjects` where `subjects`.`id` in (15)

930μstwenty4_siteHomeworkLibraryRepository.php#30

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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
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890μstwenty4_siteHomeworkLibrary.php#260

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1.77mstwenty4_siteHomeworkLibrary.php#260

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1.05mstwenty4_siteHomeworkLibrary.php#201

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Bindings	0: 4
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select * from `subject_cats` where `subject_cats`.`id` = 10 limit 1

1.09mstwenty4_siteSubject.php#100

Bindings	0: 10
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select * from `subject_cats` where `subject_cats`.`id` = 33 limit 1

2.29mstwenty4_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

2.56mstwenty4_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

6.15mstwenty4_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

1.27mstwenty4_siteSubject.php#100

Bindings	0: 34
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select * from `subject_cats` where `subject_cats`.`id` = 31 limit 1

1.06mstwenty4_siteSubject.php#100

Bindings	0: 31
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select * from `subject_cats` where `subject_cats`.`id` = 36 limit 1

1.31mstwenty4_siteSubject.php#100

Bindings	0: 36
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