Answered: Let m,n, and k be integers. Suppose m/k,n... |24HA

Messages Timeline Exceptions Events432 Views14 Route Queries19 Models22 Livewire0 Mails Gate Session Request

8.1.0510ms45MBGET college-homework-library/{category}/{subject}/{id}

Booting (328ms)time
Application (182ms)time
1 x Booting (64.3%)
328ms
1 x Application (35.7%)
182ms

Illuminate\Routing\Events\Routing (1.36ms)
Illuminate\Routing\Events\RouteMatched (553μs)
Illuminate\Foundation\Events\LocaleUpdated (4.1ms)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (219μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (206μs)
Illuminate\Database\Events\ConnectionEstablished (1.14ms)
Illuminate\Database\Events\StatementPrepared (18.5ms)
Illuminate\Database\Events\QueryExecuted (1.51ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (217μs)
eloquent.booting: App\Models\Subject (228μs)
eloquent.booted: App\Models\Subject (96μs)
Illuminate\Database\Events\StatementPrepared (2.77ms)
Illuminate\Database\Events\QueryExecuted (1.02ms)
eloquent.retrieved: App\Models\Subject (127μs)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (104μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (169μs)
Illuminate\Database\Events\StatementPrepared (622μs)
Illuminate\Database\Events\QueryExecuted (1.01ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (82μs)
eloquent.booting: App\Models\SubjectCat (303μs)
eloquent.booted: App\Models\SubjectCat (50μs)
Illuminate\Database\Events\StatementPrepared (612μs)
Illuminate\Database\Events\QueryExecuted (837μs)
eloquent.retrieved: App\Models\SubjectCat (161μs)
Illuminate\Cache\Events\CacheHit (14.81ms)
Illuminate\Cache\Events\CacheMissed (301μs)
Illuminate\Database\Events\StatementPrepared (1.05ms)
Illuminate\Database\Events\QueryExecuted (3.15ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (63μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (34μs)
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 (611μs)
Illuminate\Database\Events\QueryExecuted (1.06ms)
eloquent.retrieved: App\Models\Subject (74μs)
Illuminate\Cache\Events\KeyWritten (1.35ms)
Illuminate\Database\Events\StatementPrepared (2.02ms)
Illuminate\Database\Events\QueryExecuted (894μs)
Illuminate\Database\Events\StatementPrepared (597μs)
Illuminate\Database\Events\QueryExecuted (801μs)
Illuminate\Database\Events\StatementPrepared (634μs)
Illuminate\Database\Events\QueryExecuted (651μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (150μs)
Illuminate\Cache\Events\CacheHit (779μs)
creating: homework.show (322μs)
composing: homework.show (180μs)
creating: components.breadcrumbs (384μs)
composing: components.breadcrumbs (192μs)
Illuminate\Database\Events\StatementPrepared (1.26ms)
Illuminate\Database\Events\QueryExecuted (791μs)
eloquent.retrieved: App\Models\SubjectCat (56μs)
Illuminate\Cache\Events\CacheMissed (3.49ms)
Illuminate\Database\Events\StatementPrepared (715μs)
Illuminate\Database\Events\QueryExecuted (847μs)
eloquent.retrieved: App\Models\SubjectCat (275μs)
Illuminate\Cache\Events\KeyWritten (1.11ms)
Illuminate\Cache\Events\CacheHit (901μs)
Illuminate\Cache\Events\CacheHit (445μs)
Illuminate\Cache\Events\CacheHit (312μs)
Illuminate\Cache\Events\CacheHit (356μs)
Illuminate\Cache\Events\CacheHit (381μs)
Illuminate\Cache\Events\CacheHit (299μs)
Illuminate\Cache\Events\CacheHit (292μs)
Illuminate\Cache\Events\CacheHit (1.02ms)
Illuminate\Cache\Events\CacheHit (502μs)
Illuminate\Cache\Events\CacheHit (323μs)
Illuminate\Cache\Events\CacheHit (479μs)
Illuminate\Cache\Events\CacheHit (287μs)
Illuminate\Cache\Events\CacheHit (265μs)
Illuminate\Cache\Events\CacheMissed (6.66ms)
Illuminate\Database\Events\StatementPrepared (682μs)
Illuminate\Database\Events\QueryExecuted (915μs)
eloquent.retrieved: App\Models\SubjectCat (147μs)
Illuminate\Cache\Events\KeyWritten (283μs)
Illuminate\Cache\Events\CacheHit (320μs)
Illuminate\Cache\Events\CacheHit (268μs)
Illuminate\Cache\Events\CacheHit (203μs)
Illuminate\Cache\Events\CacheHit (233μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (240μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (208μs)
Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (208μs)
Illuminate\Cache\Events\CacheHit (225μs)
Illuminate\Cache\Events\CacheHit (214μs)
Illuminate\Cache\Events\CacheHit (173μs)
Illuminate\Cache\Events\CacheHit (208μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (228μs)
Illuminate\Cache\Events\CacheHit (256μs)
Illuminate\Cache\Events\CacheHit (216μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (201μs)
Illuminate\Cache\Events\CacheHit (173μs)
Illuminate\Cache\Events\CacheHit (220μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (189μs)
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Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (206μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (287μs)
Illuminate\Cache\Events\CacheHit (268μs)
Illuminate\Cache\Events\CacheHit (237μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (231μs)
Illuminate\Cache\Events\CacheHit (240μs)
Illuminate\Cache\Events\CacheHit (204μs)
Illuminate\Cache\Events\CacheHit (123μs)
Illuminate\Cache\Events\CacheMissed (161μs)
Illuminate\Database\Events\StatementPrepared (625μs)
Illuminate\Database\Events\QueryExecuted (914μs)
eloquent.retrieved: App\Models\SubjectCat (75μs)
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Illuminate\Cache\Events\CacheHit (227μs)
Illuminate\Cache\Events\CacheHit (272μs)
Illuminate\Cache\Events\CacheHit (326μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (235μs)
Illuminate\Cache\Events\CacheHit (210μs)
Illuminate\Cache\Events\CacheHit (216μs)
Illuminate\Cache\Events\CacheHit (201μs)
Illuminate\Cache\Events\CacheHit (216μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (210μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (211μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (212μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (222μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (307μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (199μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (213μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (222μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (206μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (207μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheHit (119μs)
Illuminate\Cache\Events\CacheHit (137μs)
Illuminate\Cache\Events\CacheHit (225μs)
Illuminate\Cache\Events\CacheMissed (163μs)
Illuminate\Database\Events\StatementPrepared (642μs)
Illuminate\Database\Events\QueryExecuted (773μs)
eloquent.retrieved: App\Models\SubjectCat (72μs)
Illuminate\Cache\Events\KeyWritten (926μs)
Illuminate\Cache\Events\CacheHit (207μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (223μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheMissed (165μs)
Illuminate\Database\Events\StatementPrepared (570μs)
Illuminate\Database\Events\QueryExecuted (736μs)
eloquent.retrieved: App\Models\SubjectCat (53μs)
Illuminate\Cache\Events\KeyWritten (249μs)
Illuminate\Cache\Events\CacheHit (1.22ms)
Illuminate\Cache\Events\CacheHit (1.36ms)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (588μs)
Illuminate\Cache\Events\CacheHit (241μs)
Illuminate\Cache\Events\CacheHit (201μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (211μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (207μs)
Illuminate\Cache\Events\CacheHit (277μs)
Illuminate\Cache\Events\CacheHit (911μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (245μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (155μs)
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Illuminate\Cache\Events\CacheHit (154μs)
Illuminate\Cache\Events\CacheHit (260μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (157μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (157μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheMissed (267μs)
Illuminate\Database\Events\StatementPrepared (737μs)
Illuminate\Database\Events\QueryExecuted (983μs)
eloquent.retrieved: App\Models\SubjectCat (56μs)
Illuminate\Cache\Events\KeyWritten (1.29ms)
Illuminate\Cache\Events\CacheHit (214μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (209μs)
Illuminate\Cache\Events\CacheHit (157μs)
Illuminate\Cache\Events\CacheHit (239μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (158μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (297μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (158μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (153μs)
Illuminate\Cache\Events\CacheHit (209μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (157μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (159μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (158μs)
Illuminate\Cache\Events\CacheHit (226μs)
Illuminate\Cache\Events\CacheHit (400μs)
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Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (202μs)
Illuminate\Cache\Events\CacheHit (161μs)
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Illuminate\Cache\Events\CacheHit (170μs)
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Illuminate\Cache\Events\CacheHit (159μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (177μs)
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Illuminate\Cache\Events\CacheMissed (189μs)
Illuminate\Database\Events\StatementPrepared (808μs)
Illuminate\Database\Events\QueryExecuted (846μs)
eloquent.retrieved: App\Models\SubjectCat (89μs)
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eloquent.retrieved: App\Models\SubjectCat (55μs)
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312 x Illuminate\Cache\Events\CacheHit (16.7%)	85.25ms
19 x Illuminate\Database\Events\StatementPrepared (6.84%)	34.89ms
19 x Illuminate\Database\Events\QueryExecuted (3.83%)	19.56ms
10 x Illuminate\Cache\Events\CacheMissed (2.35%)	11.97ms
10 x Illuminate\Cache\Events\KeyWritten (1.87%)	9.53ms
1 x Illuminate\Foundation\Events\LocaleUpdated (0.8%)	4.10ms
1 x Illuminate\Routing\Events\Routing (0.27%)	1.36ms
1 x Illuminate\Database\Events\ConnectionEstablished (0.22%)	1.14ms
11 x eloquent.retrieved: App\Models\SubjectCat (0.22%)	1.13ms
1 x Illuminate\Routing\Events\RouteMatched (0.11%)	553μs
1 x creating: components.canonical (0.08%)	433μs
1 x creating: site.layouts.app (0.08%)	391μs
1 x creating: components.breadcrumbs (0.08%)	384μs
7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.07%)	340μs
1 x creating: homework.show (0.06%)	322μs
1 x creating: site.headers.header (0.06%)	307μs
1 x eloquent.booting: App\Models\SubjectCat (0.06%)	303μs
1 x creating: components.forms.contact-us (0.05%)	249μs
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middleware: web, utm.parameters
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13. app/Http/Controllers/HomeworkLibraryController.php:91
14. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
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18.73mstwenty4_siteHomeworkLibraryController.php#97

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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
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900μstwenty4_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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870μstwenty4_siteHomeworkLibrary.php#201

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3.45mstwenty4_siteHomeworkLibraryRepository.php#30

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select * from `subjects` where `subjects`.`id` in (66)

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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
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890μstwenty4_siteHomeworkLibrary.php#260

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740μstwenty4_siteHomeworkLibrary.php#260

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800μstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 32289 1: solution
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select * from `subject_cats` where `subject_cats`.`id` = 3 limit 1

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

1.07mstwenty4_siteSubject.php#100

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

990μstwenty4_siteSubject.php#100

Bindings	0: 33
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select * from `subject_cats` where `subject_cats`.`id` = 11 limit 1

910μstwenty4_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

1.1mstwenty4_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

1.13mstwenty4_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

1.01mstwenty4_siteSubject.php#100

Bindings	0: 31
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Let m,n, and k be integers. Suppose m/k,n/k and gcd(m,n)=1. Show (m...

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