Answered: 2. [15 points] Suppose that X,Y are discr... |24HA

Messages Timeline Exceptions Events443 Views14 Route Queries20 Models30 Livewire0 Mails Gate Session Request

8.1.0425ms45MBGET college-homework-library/{category}/{subject}/{id}

Booting (259ms)time
Application (166ms)time
1 x Booting (60.99%)
259ms
1 x Application (39%)
166ms

Illuminate\Routing\Events\Routing (700μs)
Illuminate\Routing\Events\RouteMatched (264μs)
Illuminate\Foundation\Events\LocaleUpdated (1.69ms)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (150μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (142μs)
Illuminate\Database\Events\ConnectionEstablished (813μs)
Illuminate\Database\Events\StatementPrepared (8.29ms)
Illuminate\Database\Events\QueryExecuted (1.16ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (105μs)
eloquent.booting: App\Models\Subject (118μs)
eloquent.booted: App\Models\Subject (44μs)
Illuminate\Database\Events\StatementPrepared (1.51ms)
Illuminate\Database\Events\QueryExecuted (1.14ms)
eloquent.retrieved: App\Models\Subject (103μs)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (90μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (41μs)
Illuminate\Database\Events\StatementPrepared (1.24ms)
Illuminate\Database\Events\QueryExecuted (929μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (85μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (14μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (9μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (6μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (5μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (5μs)
eloquent.booting: App\Models\SubjectCat (381μs)
eloquent.booted: App\Models\SubjectCat (45μs)
Illuminate\Database\Events\StatementPrepared (797μs)
Illuminate\Database\Events\QueryExecuted (711μs)
eloquent.retrieved: App\Models\SubjectCat (83μs)
Illuminate\Cache\Events\CacheHit (11.12ms)
Illuminate\Cache\Events\CacheMissed (866μs)
Illuminate\Database\Events\StatementPrepared (1.86ms)
Illuminate\Database\Events\QueryExecuted (13.77ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (101μs)
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 (6μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (7μs)
Illuminate\Database\Events\StatementPrepared (707μs)
Illuminate\Database\Events\QueryExecuted (974μs)
eloquent.retrieved: App\Models\Subject (95μs)
Illuminate\Cache\Events\KeyWritten (871μs)
Illuminate\Database\Events\StatementPrepared (1.74ms)
Illuminate\Database\Events\QueryExecuted (1.17ms)
Illuminate\Database\Events\StatementPrepared (685μs)
Illuminate\Database\Events\QueryExecuted (1.57ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (53μs)
Illuminate\Database\Events\StatementPrepared (1.06ms)
Illuminate\Database\Events\QueryExecuted (864μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (42μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (14μs)
Illuminate\Cache\Events\CacheHit (683μs)
creating: homework.show (295μs)
composing: homework.show (126μs)
creating: components.breadcrumbs (377μs)
composing: components.breadcrumbs (125μs)
Illuminate\Database\Events\StatementPrepared (1.13ms)
Illuminate\Database\Events\QueryExecuted (922μs)
eloquent.retrieved: App\Models\SubjectCat (59μs)
Illuminate\Cache\Events\CacheMissed (6.15ms)
Illuminate\Database\Events\StatementPrepared (615μs)
Illuminate\Database\Events\QueryExecuted (954μs)
eloquent.retrieved: App\Models\SubjectCat (94μs)
Illuminate\Cache\Events\KeyWritten (377μs)
Illuminate\Cache\Events\CacheHit (221μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (218μs)
Illuminate\Cache\Events\CacheHit (218μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (282μs)
Illuminate\Cache\Events\CacheHit (150μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (158μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (138μs)
Illuminate\Cache\Events\CacheMissed (177μs)
Illuminate\Database\Events\StatementPrepared (648μs)
Illuminate\Database\Events\QueryExecuted (804μs)
eloquent.retrieved: App\Models\SubjectCat (66μs)
Illuminate\Cache\Events\KeyWritten (377μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (382μs)
Illuminate\Cache\Events\CacheHit (201μs)
Illuminate\Cache\Events\CacheHit (421μs)
Illuminate\Cache\Events\CacheHit (300μs)
Illuminate\Cache\Events\CacheHit (210μs)
Illuminate\Cache\Events\CacheHit (199μs)
Illuminate\Cache\Events\CacheMissed (300μs)
Illuminate\Database\Events\StatementPrepared (605μs)
Illuminate\Database\Events\QueryExecuted (814μs)
eloquent.retrieved: App\Models\SubjectCat (115μs)
Illuminate\Cache\Events\KeyWritten (299μs)
Illuminate\Cache\Events\CacheHit (453μs)
Illuminate\Cache\Events\CacheHit (242μs)
Illuminate\Cache\Events\CacheHit (398μs)
Illuminate\Cache\Events\CacheHit (241μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (229μs)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (182μs)
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Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (210μs)
Illuminate\Cache\Events\CacheHit (184μs)
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Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (192μs)
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Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheMissed (297μs)
Illuminate\Database\Events\StatementPrepared (820μs)
Illuminate\Database\Events\QueryExecuted (1.03ms)
eloquent.retrieved: App\Models\SubjectCat (92μs)
Illuminate\Cache\Events\KeyWritten (1.71ms)
Illuminate\Cache\Events\CacheHit (236μs)
Illuminate\Cache\Events\CacheHit (309μs)
Illuminate\Cache\Events\CacheHit (139μs)
Illuminate\Cache\Events\CacheHit (157μs)
Illuminate\Cache\Events\CacheHit (154μs)
Illuminate\Cache\Events\CacheHit (147μs)
Illuminate\Cache\Events\CacheHit (108μs)
Illuminate\Cache\Events\CacheHit (157μs)
Illuminate\Cache\Events\CacheHit (128μs)
Illuminate\Cache\Events\CacheHit (138μs)
Illuminate\Cache\Events\CacheHit (112μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (120μs)
Illuminate\Cache\Events\CacheHit (254μs)
Illuminate\Cache\Events\CacheHit (140μs)
Illuminate\Cache\Events\CacheHit (260μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (126μs)
Illuminate\Cache\Events\CacheHit (109μs)
Illuminate\Cache\Events\CacheHit (124μs)
Illuminate\Cache\Events\CacheHit (139μs)
Illuminate\Cache\Events\CacheHit (132μs)
Illuminate\Cache\Events\CacheHit (109μs)
Illuminate\Cache\Events\CacheHit (141μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (128μs)
Illuminate\Cache\Events\CacheHit (110μs)
Illuminate\Cache\Events\CacheHit (128μs)
Illuminate\Cache\Events\CacheHit (109μs)
Illuminate\Cache\Events\CacheHit (127μs)
Illuminate\Cache\Events\CacheHit (113μs)
Illuminate\Cache\Events\CacheHit (137μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (135μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (144μs)
Illuminate\Cache\Events\CacheHit (328μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheMissed (203μs)
Illuminate\Database\Events\StatementPrepared (867μs)
Illuminate\Database\Events\QueryExecuted (768μs)
eloquent.retrieved: App\Models\SubjectCat (67μs)
Illuminate\Cache\Events\KeyWritten (1.34ms)
Illuminate\Cache\Events\CacheHit (257μs)
Illuminate\Cache\Events\CacheHit (212μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (223μs)
Illuminate\Cache\Events\CacheHit (221μs)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheHit (158μs)
Illuminate\Cache\Events\CacheMissed (377μs)
Illuminate\Database\Events\StatementPrepared (571μs)
Illuminate\Database\Events\QueryExecuted (839μs)
eloquent.retrieved: App\Models\SubjectCat (80μs)
Illuminate\Cache\Events\KeyWritten (293μs)
Illuminate\Cache\Events\CacheHit (1.2ms)
Illuminate\Cache\Events\CacheHit (220μs)
Illuminate\Cache\Events\CacheHit (126μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (130μs)
Illuminate\Cache\Events\CacheHit (350μs)
Illuminate\Cache\Events\CacheHit (129μs)
Illuminate\Cache\Events\CacheHit (140μs)
Illuminate\Cache\Events\CacheHit (104μs)
Illuminate\Cache\Events\CacheHit (137μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (718μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (123μs)
Illuminate\Cache\Events\CacheHit (102μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (103μs)
Illuminate\Cache\Events\CacheHit (117μs)
Illuminate\Cache\Events\CacheHit (102μs)
Illuminate\Cache\Events\CacheHit (139μs)
Illuminate\Cache\Events\CacheHit (104μs)
Illuminate\Cache\Events\CacheHit (118μs)
Illuminate\Cache\Events\CacheHit (109μs)
Illuminate\Cache\Events\CacheHit (117μs)
Illuminate\Cache\Events\CacheHit (109μs)
Illuminate\Cache\Events\CacheHit (137μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (151μs)
Illuminate\Cache\Events\CacheHit (128μs)
Illuminate\Cache\Events\CacheMissed (164μs)
Illuminate\Database\Events\StatementPrepared (763μs)
Illuminate\Database\Events\QueryExecuted (815μs)
eloquent.retrieved: App\Models\SubjectCat (80μs)
Illuminate\Cache\Events\KeyWritten (632μs)
Illuminate\Cache\Events\CacheHit (205μs)
Illuminate\Cache\Events\CacheHit (150μs)
Illuminate\Cache\Events\CacheHit (108μs)
Illuminate\Cache\Events\CacheHit (119μs)
Illuminate\Cache\Events\CacheHit (99μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (134μs)
Illuminate\Cache\Events\CacheHit (142μs)
Illuminate\Cache\Events\CacheHit (1.26ms)
Illuminate\Cache\Events\CacheHit (226μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (173μs)
Illuminate\Cache\Events\CacheHit (202μs)
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Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (228μs)
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Illuminate\Cache\Events\CacheHit (177μs)
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Illuminate\Cache\Events\CacheHit (209μs)
Illuminate\Cache\Events\CacheHit (180μs)
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Illuminate\Cache\Events\CacheHit (186μs)
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Illuminate\Cache\Events\CacheHit (188μs)
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Illuminate\Database\Events\StatementPrepared (830μs)
Illuminate\Database\Events\QueryExecuted (961μs)
eloquent.retrieved: App\Models\SubjectCat (81μs)
Illuminate\Cache\Events\KeyWritten (342μs)
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311 x Illuminate\Cache\Events\CacheHit (17.36%)	73.81ms
20 x Illuminate\Database\Events\QueryExecuted (7.59%)	32.29ms
20 x Illuminate\Database\Events\StatementPrepared (6.22%)	26.45ms
11 x Illuminate\Cache\Events\CacheMissed (2.25%)	9.55ms
11 x Illuminate\Cache\Events\KeyWritten (1.63%)	6.95ms
1 x Illuminate\Foundation\Events\LocaleUpdated (0.4%)	1.69ms
12 x eloquent.retrieved: App\Models\SubjectCat (0.23%)	996μs
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uri: GET college-homework-library/{category}/{subject}/{id}
middleware: web, utm.parameters
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where
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file: app/Http/Controllers/HomeworkLibraryController.php:79-176

20 statements were executed, 5 of which were duplicates, 15 unique. Show only duplicated43.42ms

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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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select * from `solutionslibrary` where `status` = 'published' and `price` > 0 and `solutionslibrary`.`id` = '24216' limit 1

8.74mstwenty4_siteHomeworkLibraryController.php#97

Bindings	0: published 1: 0 2: 24216
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 (134)

1.03mstwenty4_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

select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` in (24216)

1.69mstwenty4_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
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select * from `subject_cats` where `subject_cats`.`id` = 1 limit 1

970μstwenty4_siteHomeworkLibrary.php#201

Bindings	0: 1
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select * from `solutionslibrary` where `id` <> 24216 and `subject` = 134 and `status` = 'published' and `price` > 0 order by RAND() limit 6

14.35mstwenty4_siteHomeworkLibraryRepository.php#30

Bindings	0: 24216 1: 134 2: published 3: 0
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select * from `subjects` where `subjects`.`id` in (134)

1.12mstwenty4_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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1.24mstwenty4_siteHomeworkLibrary.php#260

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select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 24216 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc

1.6mstwenty4_siteHomeworkLibrary.php#260

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select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 24216 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc

1.08mstwenty4_siteHomeworkLibrary.php#260

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

880μstwenty4_siteSubject.php#100

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

960μstwenty4_siteSubject.php#100

Bindings	0: 3
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select * from `subject_cats` where `subject_cats`.`id` = 4 limit 1

860μstwenty4_siteSubject.php#100

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

1.13mstwenty4_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

950μstwenty4_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

1.13mstwenty4_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

1.16mstwenty4_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

1.23mstwenty4_siteSubject.php#100

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

1.15mstwenty4_siteSubject.php#100

Bindings	0: 36
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2. [15 points] Suppose that X,Y are discrete random variables with...

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