Answered: Problem 3: Proof by contradiction Prove ... |24HA

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8.1.0392ms45MBGET college-homework-library/{category}/{subject}/{id}

Booting (240ms)time
Application (152ms)time
1 x Booting (61.32%)
240ms
1 x Application (38.68%)
152ms

Illuminate\Routing\Events\Routing (1.35ms)
Illuminate\Routing\Events\RouteMatched (563μs)
Illuminate\Foundation\Events\LocaleUpdated (4.26ms)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (180μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (162μs)
Illuminate\Database\Events\ConnectionEstablished (875μs)
Illuminate\Database\Events\StatementPrepared (15.55ms)
Illuminate\Database\Events\QueryExecuted (1.26ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (107μs)
eloquent.booting: App\Models\Subject (108μs)
eloquent.booted: App\Models\Subject (43μs)
Illuminate\Database\Events\StatementPrepared (1.63ms)
Illuminate\Database\Events\QueryExecuted (920μs)
eloquent.retrieved: App\Models\Subject (103μs)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (114μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (40μs)
Illuminate\Database\Events\StatementPrepared (631μs)
Illuminate\Database\Events\QueryExecuted (1.89ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (114μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (23μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (13μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (9μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (9μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (9μs)
eloquent.booting: App\Models\SubjectCat (389μs)
eloquent.booted: App\Models\SubjectCat (62μs)
Illuminate\Database\Events\StatementPrepared (768μs)
Illuminate\Database\Events\QueryExecuted (1.13ms)
eloquent.retrieved: App\Models\SubjectCat (98μs)
Illuminate\Cache\Events\CacheHit (11.29ms)
Illuminate\Cache\Events\CacheMissed (236μs)
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eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (114μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (23μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (13μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (12μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (11μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (12μs)
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eloquent.retrieved: App\Models\Subject (98μs)
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eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (64μs)
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eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (69μs)
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Illuminate\Database\Events\QueryExecuted (840μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (40μs)
Illuminate\Cache\Events\CacheHit (541μs)
creating: homework.show (280μs)
composing: homework.show (131μs)
creating: components.breadcrumbs (268μs)
composing: components.breadcrumbs (148μs)
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eloquent.retrieved: App\Models\SubjectCat (149μs)
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eloquent.retrieved: App\Models\SubjectCat (74μs)
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Illuminate\Cache\Events\CacheMissed (153μs)
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Illuminate\Database\Events\QueryExecuted (987μs)
eloquent.retrieved: App\Models\SubjectCat (147μs)
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eloquent.retrieved: App\Models\SubjectCat (98μs)
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Illuminate\Cache\Events\CacheHit (121μs)
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Illuminate\Cache\Events\CacheHit (136μs)
Illuminate\Cache\Events\CacheHit (106μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (135μs)
Illuminate\Cache\Events\CacheHit (134μs)
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Illuminate\Cache\Events\CacheHit (205μs)
Illuminate\Cache\Events\CacheHit (176μs)
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Illuminate\Cache\Events\CacheHit (139μs)
Illuminate\Cache\Events\CacheHit (115μs)
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Illuminate\Cache\Events\CacheHit (126μs)
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Illuminate\Cache\Events\CacheHit (109μs)
Illuminate\Cache\Events\CacheHit (124μs)
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Illuminate\Cache\Events\CacheHit (134μs)
Illuminate\Cache\Events\CacheHit (170μs)
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Illuminate\Cache\Events\CacheHit (129μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (128μs)
Illuminate\Cache\Events\CacheHit (109μs)
Illuminate\Cache\Events\CacheHit (128μs)
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Illuminate\Cache\Events\CacheHit (102μs)
Illuminate\Cache\Events\CacheHit (137μs)
Illuminate\Cache\Events\CacheHit (120μs)
Illuminate\Cache\Events\CacheMissed (141μs)
Illuminate\Database\Events\StatementPrepared (807μs)
Illuminate\Database\Events\QueryExecuted (780μs)
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Illuminate\Cache\Events\KeyWritten (335μs)
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Illuminate\Cache\Events\CacheHit (100μs)
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Illuminate\Cache\Events\CacheHit (208μs)
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Illuminate\Cache\Events\CacheHit (120μs)
Illuminate\Cache\Events\CacheHit (120μs)
Illuminate\Cache\Events\CacheHit (99μs)
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Illuminate\Cache\Events\CacheMissed (164μs)
Illuminate\Database\Events\StatementPrepared (687μs)
Illuminate\Database\Events\QueryExecuted (968μs)
eloquent.retrieved: App\Models\SubjectCat (66μs)
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Illuminate\Cache\Events\CacheHit (132μs)
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311 x Illuminate\Cache\Events\CacheHit (14.86%)	58.27ms
20 x Illuminate\Database\Events\StatementPrepared (8.18%)	32.07ms
20 x Illuminate\Database\Events\QueryExecuted (6.92%)	27.12ms
11 x Illuminate\Cache\Events\KeyWritten (2.63%)	10.30ms
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1 x eloquent.booting: App\Models\SubjectCat (0.1%)	389μs
1 x creating: site.layouts.app (0.09%)	351μs
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7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.07%)	292μs
1 x creating: homework.show (0.07%)	280μs
1 x creating: components.breadcrumbs (0.07%)	268μs
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2 x eloquent.retrieved: App\Models\Subject (0.05%)	201μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.05%)	180μs
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1x components.breadcrumbsbreadcrumbs.blade.phpblade
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where
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20 statements were executed, 5 of which were duplicates, 15 unique. Show only duplicated44.57ms

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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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15.95mstwenty4_siteHomeworkLibraryController.php#97

Bindings	0: published 1: 0 2: 7277
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select * from `subjects` where `subjects`.`id` in (15)

1.16mstwenty4_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 `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` in (7277)

1.87mstwenty4_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

1.32mstwenty4_siteHomeworkLibrary.php#201

Bindings	0: 3
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select * from `solutionslibrary` where `id` <> 7277 and `subject` = 15 and `status` = 'published' and `price` > 0 order by RAND() limit 6

7.51mstwenty4_siteHomeworkLibraryRepository.php#30

Bindings	0: 7277 1: 15 2: published 3: 0
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select * from `subjects` where `subjects`.`id` in (15)

1.18mstwenty4_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

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1.2mstwenty4_siteHomeworkLibrary.php#260

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select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 7277 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc

950μstwenty4_siteHomeworkLibrary.php#260

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select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 7277 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc

930μstwenty4_siteHomeworkLibrary.php#260

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

1.09mstwenty4_siteHomeworkLibrary.php#201

Bindings	0: 3
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1.02mstwenty4_siteSubject.php#100

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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` = 4 limit 1

990μstwenty4_siteSubject.php#100

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

1.11mstwenty4_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

1.17mstwenty4_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

1.07mstwenty4_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

990μstwenty4_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

1.18mstwenty4_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

1.05mstwenty4_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

1.61mstwenty4_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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Problem 3: Proof by contradiction Prove the following: There are n...

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