Question
1. A 32-bit computer has two selector channels and one multiplexor channel. Each selector channel supports two magnetic disk and two magnetic tape units. The multiplexor channel has two line printers, two card readers, and ten VDT terminals connected to it. Assume the following transfer rates.
Disk drive                      700 Kbytes/s
Magnetic tape drive      200 Kbytes
Line printer                   6.6 Kbytes/s
Card Reader                1.2 Kbytes/s
VDT                               1 Kbytes/s
Estimate the maximum aggregate I/O transfer rate in this system.

2. Given the following set of events, show which routines the CPU is executing for times 0 to 100 ns. Each handler routine (with its interrupt request) takes 20 ns to complete. The priority of the interrupts ranges from IRQ6 as the highest priority interrupt to IRQ0 as the lowest priority interrupt.
Time          Action
0 ns          Start of main program
10 ns         IRQ2
25 ns         IRQ5
40 ns         IRQ6
50 ns         IRQ1

Time      Action
0 ns:      Start of Main Program
10 ns:    IRQ2

3. If an address bus needs to be able to address four devices, how many conductors will be required?
What if each of those devices also needs to be able to talk back to the I/O control device?

4. Define the terms seek time, rotational delay, and transfer time. Explain their relationship.

5. Suppose a disk drive has the following characteristics:
- 5 surfaces
- 512 tracks per surface
- 128 sectors per track
- 1024 bytes per sector
- Track-to-track seek time of 12 milliseconds
- Rotational speed of 1500 RPM
a) What is the capacity of the drive?
b) What is the access time?
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1) The maximum aggregate I/O transfer rate of the system is equal to:
700Kbystes/s + 700 Kbytes/s+ 2* 6.6 Kbytes/s+ 2* 1.2 Kbytes/s+ 10* 1Kbytes/s = 1,400 Kbytes/s+ 13.2 Kbytes/s+ 2.4 Kbytes/s+ 10 Kbytes/s= 1,425.6 Kbytes/s.
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      • Illuminate\Cache\Events\CacheHit (295μs)
      • Illuminate\Cache\Events\CacheHit (382μs)
      • Illuminate\Cache\Events\CacheHit (273μs)
      • Illuminate\Cache\Events\CacheHit (235μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (674μs)
      • Illuminate\Cache\Events\CacheHit (452μs)
      • Illuminate\Cache\Events\CacheHit (174μs)
      • Illuminate\Cache\Events\CacheHit (672μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheMissed (309μs)
      • Illuminate\Database\Events\StatementPrepared (952μs)
      • Illuminate\Database\Events\QueryExecuted (7.46ms)
      • eloquent.retrieved: App\Models\SubjectCat (300μs)
      • Illuminate\Cache\Events\KeyWritten (1.22ms)
      • Illuminate\Cache\Events\CacheHit (343μs)
      • Illuminate\Cache\Events\CacheHit (1.01ms)
      • Illuminate\Cache\Events\CacheHit (522μs)
      • Illuminate\Cache\Events\CacheHit (292μs)
      • Illuminate\Cache\Events\CacheHit (197μs)
      • Illuminate\Cache\Events\CacheHit (337μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (300μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (199μs)
      • Illuminate\Cache\Events\CacheHit (373μs)
      • Illuminate\Cache\Events\CacheHit (338μs)
      • Illuminate\Cache\Events\CacheHit (290μs)
      • Illuminate\Cache\Events\CacheHit (339μs)
      • Illuminate\Cache\Events\CacheHit (8.71ms)
      • Illuminate\Cache\Events\CacheHit (2.5ms)
      • Illuminate\Cache\Events\CacheHit (506μs)
      • creating: site.layouts.app (1.93ms)
      • composing: site.layouts.app (30μs)
      • creating: components.canonical (1.01ms)
      • composing: components.canonical (672μs)
      • creating: components.open-graph (343μs)
      • composing: components.open-graph (106μs)
      • creating: site.headers.header (728μs)
      • composing: site.headers.header (85μs)
      • Illuminate\Cache\Events\CacheHit (10.54ms)
      • creating: components.footer (141μs)
      • composing: components.footer (122μs)
      • Illuminate\Cache\Events\CacheHit (1.79ms)
      • Illuminate\Cache\Events\CacheHit (488μs)
      • Illuminate\Cache\Events\CacheHit (360μs)
      • Illuminate\Cache\Events\CacheHit (382μs)
      • Illuminate\Cache\Events\CacheHit (205μs)
      • Illuminate\Cache\Events\CacheHit (177μs)
      • Illuminate\Cache\Events\CacheHit (587μs)
      • Illuminate\Cache\Events\CacheHit (9.26ms)
      • Illuminate\Cache\Events\CacheHit (426μs)
      • Illuminate\Cache\Events\CacheHit (405μs)
      • Illuminate\Cache\Events\CacheHit (218μs)
      • Illuminate\Cache\Events\CacheHit (185μs)
      • Illuminate\Cache\Events\CacheHit (200μs)
      • Illuminate\Cache\Events\CacheHit (177μs)
      • creating: components.forms.contact-us (397μs)
      • composing: components.forms.contact-us (194μs)
      • creating: components.forms.get-started (247μs)
      • composing: components.forms.get-started (105μs)
      • creating: components.forms.free-tool-download (132μs)
      • composing: components.forms.free-tool-download (326μs)
      • creating: components.forms.claim-free-worksheet (143μs)
      • composing: components.forms.claim-free-worksheet (179μs)
      • creating: components.forms.tutor-subscription-waitlist (164μs)
      • composing: components.forms.tutor-subscription-waitlist (152μs)
      • creating: components.forms.tutor-subscription-join (229μs)
      • composing: components.forms.tutor-subscription-join (80μs)
      • creating: components.forms.tutor-support (163μs)
      • composing: components.forms.tutor-support (156μs)
      • 312 x Illuminate\Cache\Events\CacheHit (20.63%)
        178ms
        19 x Illuminate\Database\Events\StatementPrepared (9.21%)
        79.55ms
        19 x Illuminate\Database\Events\QueryExecuted (4.21%)
        36.32ms
        10 x Illuminate\Cache\Events\CacheMissed (1.62%)
        14.02ms
        1 x Illuminate\Routing\Events\RouteMatched (1.3%)
        11.20ms
        10 x Illuminate\Cache\Events\KeyWritten (1.27%)
        10.98ms
        1 x Illuminate\Foundation\Events\LocaleUpdated (0.6%)
        5.20ms
        1 x creating: site.layouts.app (0.22%)
        1.93ms
        11 x eloquent.retrieved: App\Models\SubjectCat (0.22%)
        1.87ms
        1 x Illuminate\Routing\Events\Routing (0.21%)
        1.80ms
        1 x Illuminate\Database\Events\ConnectionEstablished (0.15%)
        1.29ms
        1 x creating: components.canonical (0.12%)
        1.01ms
        1 x creating: components.breadcrumbs (0.1%)
        830μs
        1 x creating: site.headers.header (0.08%)
        728μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.08%)
        674μs
        1 x composing: components.canonical (0.08%)
        672μs
        1 x eloquent.booting: App\Models\SubjectCat (0.06%)
        556μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.06%)
        523μs
        2 x eloquent.retrieved: App\Models\Subject (0.05%)
        402μs
        1 x composing: components.breadcrumbs (0.05%)
        401μs
        1 x creating: components.forms.contact-us (0.05%)
        397μs
        1 x creating: homework.show (0.04%)
        366μs
        1 x creating: components.open-graph (0.04%)
        343μs
        7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.04%)
        328μs
        1 x composing: components.forms.free-tool-download (0.04%)
        326μs
        1 x creating: components.forms.get-started (0.03%)
        247μs
        1 x creating: components.forms.tutor-subscription-join (0.03%)
        229μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.03%)
        222μs
        1 x composing: components.forms.contact-us (0.02%)
        194μs
        5 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.02%)
        192μs
        1 x eloquent.booted: App\Models\Subject (0.02%)
        186μs
        1 x composing: components.forms.claim-free-worksheet (0.02%)
        179μs
        1 x creating: components.forms.tutor-subscription-waitlist (0.02%)
        164μs
        1 x creating: components.forms.tutor-support (0.02%)
        163μs
        1 x composing: components.forms.tutor-support (0.02%)
        156μs
        1 x composing: homework.show (0.02%)
        152μs
        1 x composing: components.forms.tutor-subscription-waitlist (0.02%)
        152μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.02%)
        150μs
        1 x creating: components.forms.claim-free-worksheet (0.02%)
        143μs
        1 x creating: components.footer (0.02%)
        141μs
        1 x eloquent.booting: App\Models\Subject (0.02%)
        138μs
        1 x creating: components.forms.free-tool-download (0.02%)
        132μs
        1 x composing: components.footer (0.01%)
        122μs
        1 x composing: components.open-graph (0.01%)
        106μs
        1 x composing: components.forms.get-started (0.01%)
        105μs
        1 x composing: site.headers.header (0.01%)
        85μs
        1 x composing: components.forms.tutor-subscription-join (0.01%)
        80μs
        1 x eloquent.booted: App\Models\SubjectCat (0.01%)
        60μs
        1 x composing: site.layouts.app (0%)
        30μs
      14 templates were rendered
      • 1x homework.showshow.blade.phpblade
      • 1x components.breadcrumbsbreadcrumbs.blade.phpblade
      • 1x site.layouts.appapp.blade.phpblade
      • 1x components.canonicalcanonical.blade.phpblade
      • 1x components.open-graphopen-graph.blade.phpblade
      • 1x site.headers.headerheader.blade.phpblade
      • 1x components.footerfooter.blade.phpblade
      • 1x components.forms.contact-uscontact-us.blade.phpblade
      • 1x components.forms.get-startedget-started.blade.phpblade
      • 1x components.forms.free-tool-downloadfree-tool-download.blade.phpblade
      • 1x components.forms.claim-free-worksheetclaim-free-worksheet.blade.phpblade
      • 1x components.forms.tutor-subscription-waitlisttutor-subscription-waitlist.blade.phpblade
      • 1x components.forms.tutor-subscription-jointutor-subscription-join.blade.phpblade
      • 1x components.forms.tutor-supporttutor-support.blade.phpblade
      uri
      GET college-homework-library/{category}/{subject}/{id}
      middleware
      web, utm.parameters
      controller
      App\Http\Controllers\HomeworkLibraryController@show
      namespace
      where
      as
      homework.show
      file
      app/Http/Controllers/HomeworkLibraryController.php:79-176
      19 statements were executed, 5 of which were duplicates, 14 unique. Show only duplicated88.82ms
      • Connection Establishedtwenty4_siteHomeworkLibraryController.php#91
        Backtrace
        • 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
        • 16. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `solutionslibrary` where `status` = 'published' and `price` > 0 and `solutionslibrary`.`id` = '20271' limit 1
        40.1mstwenty4_siteHomeworkLibraryController.php#97
        Bindings
        • 0: published
        • 1: 0
        • 2: 20271
        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 (108)
        9.76mstwenty4_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 (20271)
        910μstwenty4_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
        960μstwenty4_siteHomeworkLibrary.php#201
        Bindings
        • 0: 3
        Backtrace
        • 20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201
        • 26. app/Http/Controllers/HomeworkLibraryController.php:105
        • 27. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 28. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 29. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
      • select * from `solutionslibrary` where `id` <> 20271 and `subject` = 108 and `status` = 'published' and `price` > 0 order by RAND() limit 6
        6.01mstwenty4_siteHomeworkLibraryRepository.php#30
        Bindings
        • 0: 20271
        • 1: 108
        • 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 (108)
        2.92mstwenty4_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` = 20271 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc
        1.03mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 20271
        • 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` = 20271 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc
        1.15mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 20271
        • 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` = 20271 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc
        860μstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 20271
        • 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` = 3 limit 1
        1.37mstwenty4_siteHomeworkLibrary.php#201
        Bindings
        • 0: 3
        Backtrace
        • 20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201
        • 32. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 33. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 34. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
        • 35. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
      • select * from `subject_cats` where `subject_cats`.`id` = 1 limit 1
        1.72mstwenty4_siteSubject.php#100
        Bindings
        • 0: 1
        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` = 3 limit 1
        1mstwenty4_siteSubject.php#100
        Bindings
        • 0: 3
        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` = 4 limit 1
        990μstwenty4_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
        1.15mstwenty4_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
        830μstwenty4_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
        2.06mstwenty4_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
        1.98mstwenty4_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
        6.69mstwenty4_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
        7.33mstwenty4_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
      App\Models\SubjectCat
      11SubjectCat.php
      App\Models\HomeworkLibrary\HomeworkLibrary
      7HomeworkLibrary.php
      App\Models\HomeworkLibrary\HomeworkLibraryFile
      5HomeworkLibraryFile.php
      App\Models\Subject
      2Subject.php
          _token
          HAeH0AVkMJTrQmuQosudomVXRAF0tZj6UR8ukYie
          utm_source
          direct
          redirectUrl
          /college-homework-library/Computer-Science/Systems-Architecture/20271
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          array:1 [ "url" => "https://staging.dev.24houranswers.com/college-homework-library/Computer-Scienc...
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          array:2 [ "old" => [] "new" => [] ]
          PHPDEBUGBAR_STACK_DATA
          []
          path_info
          /college-homework-library/Computer-Science/Systems-Architecture/20271
          status_code
          200
          
          status_text
          OK
          format
          html
          content_type
          text/html; charset=UTF-8
          request_query
          []
          
          request_request
          []
          
          request_headers
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          request_cookies
          []
          
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