Answered: Problem 1: Show that for a positive integ... |24HA

Messages Timeline Exceptions Events405 Views14 Route Queries10 Models22 Livewire0 Mails Gate Session Request

8.1.0308ms45MBGET college-homework-library/{category}/{subject}/{id}

Booting (181ms)time
Application (127ms)time
1 x Booting (58.8%)
181ms
1 x Application (41.2%)
127ms

Illuminate\Routing\Events\Routing (567μs)
Illuminate\Routing\Events\RouteMatched (268μs)
Illuminate\Foundation\Events\LocaleUpdated (1.68ms)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (130μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (111μs)
Illuminate\Database\Events\ConnectionEstablished (628μs)
Illuminate\Database\Events\StatementPrepared (4.09ms)
Illuminate\Database\Events\QueryExecuted (2.46ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (90μs)
eloquent.booting: App\Models\Subject (55μs)
eloquent.booted: App\Models\Subject (40μs)
Illuminate\Database\Events\StatementPrepared (1.16ms)
Illuminate\Database\Events\QueryExecuted (821μs)
eloquent.retrieved: App\Models\Subject (108μs)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (95μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (40μs)
Illuminate\Database\Events\StatementPrepared (764μs)
Illuminate\Database\Events\QueryExecuted (972μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (82μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (15μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (8μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (6μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (5μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (5μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (5μs)
eloquent.booting: App\Models\SubjectCat (272μs)
eloquent.booted: App\Models\SubjectCat (42μs)
Illuminate\Database\Events\StatementPrepared (651μs)
Illuminate\Database\Events\QueryExecuted (852μs)
eloquent.retrieved: App\Models\SubjectCat (97μs)
Illuminate\Cache\Events\CacheHit (10.61ms)
Illuminate\Cache\Events\CacheMissed (939μs)
Illuminate\Database\Events\StatementPrepared (900μs)
Illuminate\Database\Events\QueryExecuted (5.47ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (105μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (17μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (8μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (7μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (8μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (5μs)
Illuminate\Database\Events\StatementPrepared (731μs)
Illuminate\Database\Events\QueryExecuted (816μs)
eloquent.retrieved: App\Models\Subject (93μs)
Illuminate\Cache\Events\KeyWritten (893μs)
Illuminate\Database\Events\StatementPrepared (1.6ms)
Illuminate\Database\Events\QueryExecuted (1.08ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (60μs)
Illuminate\Database\Events\StatementPrepared (866μs)
Illuminate\Database\Events\QueryExecuted (1.24ms)
Illuminate\Database\Events\StatementPrepared (662μs)
Illuminate\Database\Events\QueryExecuted (1.14ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (74μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (20μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (12μs)
Illuminate\Cache\Events\CacheHit (688μs)
creating: homework.show (272μs)
composing: homework.show (148μs)
creating: components.breadcrumbs (528μs)
composing: components.breadcrumbs (140μs)
Illuminate\Database\Events\StatementPrepared (1.34ms)
Illuminate\Database\Events\QueryExecuted (981μs)
eloquent.retrieved: App\Models\SubjectCat (97μs)
Illuminate\Cache\Events\CacheHit (4.99ms)
Illuminate\Cache\Events\CacheHit (173μs)
Illuminate\Cache\Events\CacheHit (202μs)
Illuminate\Cache\Events\CacheHit (156μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (153μs)
Illuminate\Cache\Events\CacheHit (175μs)
Illuminate\Cache\Events\CacheHit (157μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (173μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (216μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (209μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (208μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (245μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (158μs)
Illuminate\Cache\Events\CacheHit (209μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (202μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (218μs)
Illuminate\Cache\Events\CacheHit (214μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (199μs)
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Illuminate\Cache\Events\CacheHit (204μs)
Illuminate\Cache\Events\CacheHit (160μs)
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Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (207μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (205μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (210μs)
Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (203μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (220μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (234μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (199μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (158μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (158μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (154μs)
Illuminate\Cache\Events\CacheHit (175μs)
Illuminate\Cache\Events\CacheHit (159μs)
Illuminate\Cache\Events\CacheHit (214μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (206μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (155μs)
Illuminate\Cache\Events\CacheHit (197μs)
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Illuminate\Cache\Events\CacheHit (230μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (195μs)
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Illuminate\Cache\Events\CacheHit (154μs)
Illuminate\Cache\Events\CacheHit (180μs)
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Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (189μs)
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Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (174μs)
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Illuminate\Cache\Events\CacheHit (267μs)
Illuminate\Cache\Events\CacheHit (203μs)
Illuminate\Cache\Events\CacheHit (180μs)
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Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (183μs)
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Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (210μs)
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Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (179μs)
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Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (162μs)
creating: site.layouts.app (516μs)
composing: site.layouts.app (25μs)
creating: components.canonical (458μs)
composing: components.canonical (255μs)
creating: components.open-graph (215μs)
composing: components.open-graph (85μs)
creating: site.headers.header (333μs)
composing: site.headers.header (125μs)
Illuminate\Cache\Events\CacheHit (3.24ms)
creating: components.footer (121μs)
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Illuminate\Cache\Events\CacheHit (1.01ms)
Illuminate\Cache\Events\CacheHit (433μs)
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Illuminate\Cache\Events\CacheHit (206μs)
Illuminate\Cache\Events\CacheHit (197μs)
creating: components.forms.contact-us (296μs)
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composing: components.forms.get-started (66μs)
creating: components.forms.free-tool-download (165μs)
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creating: components.forms.claim-free-worksheet (128μs)
composing: components.forms.claim-free-worksheet (82μs)
creating: components.forms.tutor-subscription-waitlist (149μs)
composing: components.forms.tutor-subscription-waitlist (62μs)
creating: components.forms.tutor-subscription-join (121μs)
composing: components.forms.tutor-subscription-join (65μs)
creating: components.forms.tutor-support (123μs)
composing: components.forms.tutor-support (65μs)

321 x Illuminate\Cache\Events\CacheHit (26.33%)	81.12ms
10 x Illuminate\Database\Events\QueryExecuted (5.14%)	15.83ms
10 x Illuminate\Database\Events\StatementPrepared (4.14%)	12.76ms
1 x Illuminate\Foundation\Events\LocaleUpdated (0.54%)	1.68ms
1 x Illuminate\Cache\Events\CacheMissed (0.3%)	939μs
1 x Illuminate\Cache\Events\KeyWritten (0.29%)	893μs
1 x Illuminate\Database\Events\ConnectionEstablished (0.2%)	628μs
1 x Illuminate\Routing\Events\Routing (0.18%)	567μs
1 x creating: components.breadcrumbs (0.17%)	528μs
1 x creating: site.layouts.app (0.17%)	516μs
1 x creating: components.canonical (0.15%)	458μs
1 x creating: site.headers.header (0.11%)	333μs
1 x creating: components.forms.contact-us (0.1%)	296μs
11 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.09%)	292μs
1 x eloquent.booting: App\Models\SubjectCat (0.09%)	272μs
1 x creating: homework.show (0.09%)	272μs
1 x Illuminate\Routing\Events\RouteMatched (0.09%)	268μs
1 x composing: components.canonical (0.08%)	255μs
7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.08%)	240μs
1 x creating: components.open-graph (0.07%)	215μs
2 x eloquent.retrieved: App\Models\Subject (0.07%)	201μs
1 x creating: components.forms.get-started (0.06%)	195μs
2 x eloquent.retrieved: App\Models\SubjectCat (0.06%)	194μs
1 x composing: components.forms.contact-us (0.06%)	170μs
1 x creating: components.forms.free-tool-download (0.05%)	165μs
1 x creating: components.forms.tutor-subscription-waitlist (0.05%)	149μs
1 x composing: homework.show (0.05%)	148μs
1 x composing: components.breadcrumbs (0.05%)	140μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.04%)	130μs
1 x creating: components.forms.claim-free-worksheet (0.04%)	128μs
1 x composing: site.headers.header (0.04%)	125μs
1 x creating: components.forms.tutor-support (0.04%)	123μs
1 x composing: components.footer (0.04%)	122μs
1 x creating: components.forms.tutor-subscription-join (0.04%)	121μs
1 x creating: components.footer (0.04%)	121μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.04%)	111μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.03%)	95μs
1 x composing: components.open-graph (0.03%)	85μs
1 x composing: components.forms.claim-free-worksheet (0.03%)	82μs
1 x composing: components.forms.free-tool-download (0.02%)	72μs
1 x composing: components.forms.get-started (0.02%)	66μs
1 x composing: components.forms.tutor-subscription-join (0.02%)	65μs
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1 x composing: components.forms.tutor-subscription-waitlist (0.02%)	62μs
1 x eloquent.booting: App\Models\Subject (0.02%)	55μs
1 x eloquent.booted: App\Models\SubjectCat (0.01%)	42μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.01%)	40μs
1 x eloquent.booted: App\Models\Subject (0.01%)	40μs
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1x homework.showshow.blade.phpblade
1x components.breadcrumbsbreadcrumbs.blade.phpblade
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file: app/Http/Controllers/HomeworkLibraryController.php:79-176

10 statements were executed, 4 of which were duplicates, 6 unique. Show only duplicated20.27ms

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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5.89mstwenty4_siteHomeworkLibraryController.php#97

Bindings	0: published 1: 0 2: 24215
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 (47)

920μstwenty4_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 (24215)

1.27mstwenty4_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` = 1 limit 1

1mstwenty4_siteHomeworkLibrary.php#201

Bindings	0: 1
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select * from `solutionslibrary` where `id` <> 24215 and `subject` = 47 and `status` = 'published' and `price` > 0 order by RAND() limit 6

5.63mstwenty4_siteHomeworkLibraryRepository.php#30

Bindings	0: 24215 1: 47 2: published 3: 0
Backtrace	14. app/Repositories/HomeworkLibraryRepository.php:30 15. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 16. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 18. app/Repositories/HomeworkLibraryRepository.php:39 19. app/Http/Controllers/HomeworkLibraryController.php:139

select * from `subjects` where `subjects`.`id` in (47)

990μstwenty4_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

select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 24215 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc

1.19mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 24215 1: question
Backtrace	15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:58 19. vendor/league/fractal/src/TransformerAbstract.php:128 20. vendor/league/fractal/src/TransformerAbstract.php:107 21. vendor/league/fractal/src/Scope.php:383

select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 24215 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc

1.2mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 24215 1: teaser
Backtrace	15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:69 19. vendor/league/fractal/src/TransformerAbstract.php:128 20. vendor/league/fractal/src/TransformerAbstract.php:107 21. vendor/league/fractal/src/Scope.php:383

select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 24215 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc

1.07mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 24215 1: solution
Backtrace	15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:80 19. vendor/league/fractal/src/TransformerAbstract.php:128 20. vendor/league/fractal/src/TransformerAbstract.php:107 21. vendor/league/fractal/src/Scope.php:383

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

1.11mstwenty4_siteHomeworkLibrary.php#201

Bindings	0: 1
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App\Models\HomeworkLibrary\HomeworkLibrary: 7HomeworkLibrary.php
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Problem 1: Show that for a positive integer k, the sequence defined...

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