Answered: Prove that the product of any three conse... |24HA

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8.1.0461ms45MBGET college-homework-library/{category}/{subject}/{id}

Booting (294ms)time
Application (167ms)time
1 x Booting (63.83%)
294ms
1 x Application (36.17%)
167ms

Illuminate\Routing\Events\Routing (832μs)
Illuminate\Routing\Events\RouteMatched (249μs)
Illuminate\Foundation\Events\LocaleUpdated (2.45ms)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (195μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (172μs)
Illuminate\Database\Events\ConnectionEstablished (942μs)
Illuminate\Database\Events\StatementPrepared (19.53ms)
Illuminate\Database\Events\QueryExecuted (1.16ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (93μs)
eloquent.booting: App\Models\Subject (74μs)
eloquent.booted: App\Models\Subject (50μs)
Illuminate\Database\Events\StatementPrepared (1.68ms)
Illuminate\Database\Events\QueryExecuted (1.08ms)
eloquent.retrieved: App\Models\Subject (129μs)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (152μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (59μs)
Illuminate\Database\Events\StatementPrepared (691μs)
Illuminate\Database\Events\QueryExecuted (2.28ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (92μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (15μs)
eloquent.booting: App\Models\SubjectCat (290μs)
eloquent.booted: App\Models\SubjectCat (41μs)
Illuminate\Database\Events\StatementPrepared (810μs)
Illuminate\Database\Events\QueryExecuted (1.26ms)
eloquent.retrieved: App\Models\SubjectCat (123μs)
Illuminate\Cache\Events\CacheHit (14.56ms)
Illuminate\Cache\Events\CacheMissed (239μs)
Illuminate\Database\Events\StatementPrepared (4.92ms)
Illuminate\Database\Events\QueryExecuted (12.71ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (87μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (15μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (18μs)
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 (679μs)
Illuminate\Database\Events\QueryExecuted (816μs)
eloquent.retrieved: App\Models\Subject (77μs)
Illuminate\Cache\Events\KeyWritten (811μs)
Illuminate\Database\Events\StatementPrepared (1.39ms)
Illuminate\Database\Events\QueryExecuted (1.32ms)
Illuminate\Database\Events\StatementPrepared (728μs)
Illuminate\Database\Events\QueryExecuted (1.13ms)
Illuminate\Database\Events\StatementPrepared (596μs)
Illuminate\Database\Events\QueryExecuted (973μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (43μs)
Illuminate\Cache\Events\CacheHit (382μs)
creating: homework.show (192μs)
composing: homework.show (146μs)
creating: components.breadcrumbs (200μs)
composing: components.breadcrumbs (86μs)
Illuminate\Database\Events\StatementPrepared (1.04ms)
Illuminate\Database\Events\QueryExecuted (869μs)
eloquent.retrieved: App\Models\SubjectCat (72μs)
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eloquent.retrieved: App\Models\SubjectCat (89μs)
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Illuminate\Cache\Events\CacheHit (213μs)
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Illuminate\Cache\Events\CacheHit (180μs)
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eloquent.retrieved: App\Models\SubjectCat (82μs)
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Illuminate\Cache\Events\CacheMissed (216μs)
Illuminate\Database\Events\StatementPrepared (681μs)
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eloquent.retrieved: App\Models\SubjectCat (74μs)
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Illuminate\Cache\Events\CacheHit (333μs)
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Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (198μs)
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Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (184μs)
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Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (195μs)
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Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (203μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (194μs)
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Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (197μs)
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Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheMissed (181μs)
Illuminate\Database\Events\StatementPrepared (644μs)
Illuminate\Database\Events\QueryExecuted (751μs)
eloquent.retrieved: App\Models\SubjectCat (65μs)
Illuminate\Cache\Events\KeyWritten (1.25ms)
Illuminate\Cache\Events\CacheHit (259μs)
Illuminate\Cache\Events\CacheHit (164μs)
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Illuminate\Cache\Events\CacheMissed (137μs)
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Illuminate\Database\Events\QueryExecuted (952μs)
eloquent.retrieved: App\Models\SubjectCat (67μs)
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Illuminate\Cache\Events\CacheMissed (220μs)
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312 x Illuminate\Cache\Events\CacheHit (14.24%)	65.63ms
19 x Illuminate\Database\Events\StatementPrepared (9.17%)	42.27ms
19 x Illuminate\Database\Events\QueryExecuted (6.89%)	31.74ms
10 x Illuminate\Cache\Events\CacheMissed (1.67%)	7.68ms
10 x Illuminate\Cache\Events\KeyWritten (1.22%)	5.62ms
1 x Illuminate\Foundation\Events\LocaleUpdated (0.53%)	2.45ms
1 x Illuminate\Database\Events\ConnectionEstablished (0.2%)	942μs
11 x eloquent.retrieved: App\Models\SubjectCat (0.19%)	877μs
1 x Illuminate\Routing\Events\Routing (0.18%)	832μs
1 x creating: site.layouts.app (0.09%)	421μs
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1 x eloquent.booting: App\Models\SubjectCat (0.06%)	290μs
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7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.05%)	232μs
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2 x eloquent.retrieved: App\Models\Subject (0.04%)	206μs
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1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.04%)	195μs
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middleware: web, utm.parameters
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where
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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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19.86mstwenty4_siteHomeworkLibraryController.php#97

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1.1mstwenty4_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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2.42mstwenty4_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

Bindings	0: 3
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16.96mstwenty4_siteHomeworkLibraryRepository.php#30

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select * from `subjects` where `subjects`.`id` in (15)

970μstwenty4_siteHomeworkLibraryRepository.php#30

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19. app/Repositories/HomeworkLibraryRepository.php:30
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23. app/Repositories/HomeworkLibraryRepository.php:39
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1.06mstwenty4_siteHomeworkLibrary.php#260

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select * from `subject_cats` where `subject_cats`.`id` = 4 limit 1

1.06mstwenty4_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

970μstwenty4_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

1.01mstwenty4_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

1.2mstwenty4_siteSubject.php#100

Bindings	0: 11
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select * from `subject_cats` where `subject_cats`.`id` = 5 limit 1

1.03mstwenty4_siteSubject.php#100

Bindings	0: 5
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select * from `subject_cats` where `subject_cats`.`id` = 34 limit 1

1.22mstwenty4_siteSubject.php#100

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

5.08mstwenty4_siteSubject.php#100

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Prove that the product of any three consecutive integers is divisib...

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