Answered: 1. 1. Solve the following recurrence rela... |24HA

Messages Timeline Exceptions Events433 Views14 Route Queries17 Models29 Livewire0 Mails Gate Session Request

8.1.0685ms45MBGET college-homework-library/{category}/{subject}/{id}

Booting (396ms)time
Application (289ms)time
1 x Booting (57.87%)
396ms
1 x Application (42.13%)
289ms

Illuminate\Routing\Events\Routing (1.42ms)
Illuminate\Routing\Events\RouteMatched (726μs)
Illuminate\Foundation\Events\LocaleUpdated (4.71ms)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (228μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (200μs)
Illuminate\Database\Events\ConnectionEstablished (1.28ms)
Illuminate\Database\Events\StatementPrepared (12.79ms)
Illuminate\Database\Events\QueryExecuted (1.79ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (141μs)
eloquent.booting: App\Models\Subject (156μs)
eloquent.booted: App\Models\Subject (60μs)
Illuminate\Database\Events\StatementPrepared (2.05ms)
Illuminate\Database\Events\QueryExecuted (907μs)
eloquent.retrieved: App\Models\Subject (162μs)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (140μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (58μs)
Illuminate\Database\Events\StatementPrepared (648μs)
Illuminate\Database\Events\QueryExecuted (2.11ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (96μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (19μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (12μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (10μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (9μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (26μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (9μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (10μs)
eloquent.booting: App\Models\SubjectCat (443μs)
eloquent.booted: App\Models\SubjectCat (58μs)
Illuminate\Database\Events\StatementPrepared (768μs)
Illuminate\Database\Events\QueryExecuted (1.21ms)
eloquent.retrieved: App\Models\SubjectCat (98μs)
Illuminate\Cache\Events\CacheHit (21.43ms)
Illuminate\Cache\Events\CacheMissed (253μs)
Illuminate\Database\Events\StatementPrepared (1.04ms)
Illuminate\Database\Events\QueryExecuted (8.2ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (126μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (22μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (13μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (11μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (12μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (10μs)
Illuminate\Database\Events\StatementPrepared (1.13ms)
Illuminate\Database\Events\QueryExecuted (1.6ms)
eloquent.retrieved: App\Models\Subject (111μs)
Illuminate\Cache\Events\KeyWritten (2.32ms)
Illuminate\Database\Events\StatementPrepared (11.47ms)
Illuminate\Database\Events\QueryExecuted (1.24ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (190μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (22μs)
Illuminate\Database\Events\StatementPrepared (2.59ms)
Illuminate\Database\Events\QueryExecuted (1.22ms)
Illuminate\Database\Events\StatementPrepared (897μs)
Illuminate\Database\Events\QueryExecuted (1.2ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (52μs)
Illuminate\Cache\Events\CacheHit (784μs)
creating: homework.show (329μs)
composing: homework.show (151μs)
creating: components.breadcrumbs (469μs)
composing: components.breadcrumbs (165μs)
Illuminate\Database\Events\StatementPrepared (6.6ms)
Illuminate\Database\Events\QueryExecuted (1.06ms)
eloquent.retrieved: App\Models\SubjectCat (91μs)
Illuminate\Cache\Events\CacheMissed (6.16ms)
Illuminate\Database\Events\StatementPrepared (3.69ms)
Illuminate\Database\Events\QueryExecuted (1.02ms)
eloquent.retrieved: App\Models\SubjectCat (87μs)
Illuminate\Cache\Events\KeyWritten (392μs)
Illuminate\Cache\Events\CacheHit (326μs)
Illuminate\Cache\Events\CacheHit (235μs)
Illuminate\Cache\Events\CacheHit (153μs)
Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (224μs)
Illuminate\Cache\Events\CacheHit (154μs)
Illuminate\Cache\Events\CacheHit (334μs)
Illuminate\Cache\Events\CacheHit (726μs)
Illuminate\Cache\Events\CacheHit (245μs)
Illuminate\Cache\Events\CacheHit (295μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (144μs)
Illuminate\Cache\Events\CacheMissed (272μs)
Illuminate\Database\Events\StatementPrepared (1.39ms)
Illuminate\Database\Events\QueryExecuted (5.48ms)
eloquent.retrieved: App\Models\SubjectCat (80μs)
Illuminate\Cache\Events\KeyWritten (390μs)
Illuminate\Cache\Events\CacheHit (259μs)
Illuminate\Cache\Events\CacheHit (216μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (220μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheMissed (249μs)
Illuminate\Database\Events\StatementPrepared (1.56ms)
Illuminate\Database\Events\QueryExecuted (1.95ms)
eloquent.retrieved: App\Models\SubjectCat (75μs)
Illuminate\Cache\Events\KeyWritten (3.6ms)
Illuminate\Cache\Events\CacheHit (387μs)
Illuminate\Cache\Events\CacheHit (242μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (342μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (265μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (307μs)
Illuminate\Cache\Events\CacheHit (292μs)
Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (320μs)
Illuminate\Cache\Events\CacheHit (209μs)
Illuminate\Cache\Events\CacheHit (7.88ms)
Illuminate\Cache\Events\CacheHit (209μs)
Illuminate\Cache\Events\CacheHit (140μs)
Illuminate\Cache\Events\CacheHit (155μs)
Illuminate\Cache\Events\CacheHit (132μs)
Illuminate\Cache\Events\CacheHit (152μs)
Illuminate\Cache\Events\CacheHit (247μs)
Illuminate\Cache\Events\CacheHit (468μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (227μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (227μs)
Illuminate\Cache\Events\CacheMissed (303μs)
Illuminate\Database\Events\StatementPrepared (8.26ms)
Illuminate\Database\Events\QueryExecuted (1.15ms)
eloquent.retrieved: App\Models\SubjectCat (205μs)
Illuminate\Cache\Events\KeyWritten (400μs)
Illuminate\Cache\Events\CacheHit (293μs)
Illuminate\Cache\Events\CacheHit (267μs)
Illuminate\Cache\Events\CacheHit (304μs)
Illuminate\Cache\Events\CacheHit (253μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (204μs)
Illuminate\Cache\Events\CacheHit (277μs)
Illuminate\Cache\Events\CacheHit (224μs)
Illuminate\Cache\Events\CacheHit (221μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (258μs)
Illuminate\Cache\Events\CacheHit (205μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (259μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (341μs)
Illuminate\Cache\Events\CacheHit (203μs)
Illuminate\Cache\Events\CacheHit (214μs)
Illuminate\Cache\Events\CacheHit (301μs)
Illuminate\Cache\Events\CacheHit (222μs)
Illuminate\Cache\Events\CacheHit (268μs)
Illuminate\Cache\Events\CacheHit (212μs)
Illuminate\Cache\Events\CacheHit (207μs)
Illuminate\Cache\Events\CacheHit (272μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (340μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (218μs)
Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheMissed (290μs)
Illuminate\Database\Events\StatementPrepared (1.33ms)
Illuminate\Database\Events\QueryExecuted (3.94ms)
eloquent.retrieved: App\Models\SubjectCat (90μs)
Illuminate\Cache\Events\KeyWritten (364μs)
Illuminate\Cache\Events\CacheHit (218μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (150μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (144μs)
Illuminate\Cache\Events\CacheHit (220μs)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheMissed (260μs)
Illuminate\Database\Events\StatementPrepared (1.98ms)
Illuminate\Database\Events\QueryExecuted (945μs)
eloquent.retrieved: App\Models\SubjectCat (72μs)
Illuminate\Cache\Events\KeyWritten (396μs)
Illuminate\Cache\Events\CacheHit (255μs)
Illuminate\Cache\Events\CacheHit (239μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (319μs)
Illuminate\Cache\Events\CacheHit (204μs)
Illuminate\Cache\Events\CacheHit (215μs)
Illuminate\Cache\Events\CacheHit (261μs)
Illuminate\Cache\Events\CacheHit (653μs)
Illuminate\Cache\Events\CacheHit (557μs)
Illuminate\Cache\Events\CacheHit (273μs)
Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (900μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (6.39ms)
Illuminate\Cache\Events\CacheHit (175μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (152μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (139μs)
Illuminate\Cache\Events\CacheHit (155μs)
Illuminate\Cache\Events\CacheHit (212μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (140μs)
Illuminate\Cache\Events\CacheHit (235μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (208μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (218μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheMissed (476μs)
Illuminate\Database\Events\StatementPrepared (603μs)
Illuminate\Database\Events\QueryExecuted (9.86ms)
eloquent.retrieved: App\Models\SubjectCat (139μs)
Illuminate\Cache\Events\KeyWritten (350μs)
Illuminate\Cache\Events\CacheHit (207μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (158μs)
Illuminate\Cache\Events\CacheHit (248μs)
Illuminate\Cache\Events\CacheHit (155μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (202μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (260μs)
Illuminate\Cache\Events\CacheHit (268μs)
Illuminate\Cache\Events\CacheHit (284μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (253μs)
Illuminate\Cache\Events\CacheHit (288μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (124μs)
Illuminate\Cache\Events\CacheHit (120μs)
Illuminate\Cache\Events\CacheHit (116μs)
Illuminate\Cache\Events\CacheHit (238μs)
Illuminate\Cache\Events\CacheHit (199μs)
Illuminate\Cache\Events\CacheHit (212μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (213μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (173μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (225μs)
Illuminate\Cache\Events\CacheHit (271μs)
Illuminate\Cache\Events\CacheHit (206μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (224μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (157μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (153μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (152μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (143μs)
Illuminate\Cache\Events\CacheHit (175μs)
Illuminate\Cache\Events\CacheHit (154μs)
Illuminate\Cache\Events\CacheHit (325μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (156μs)
Illuminate\Cache\Events\CacheHit (204μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (267μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (981μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (158μs)
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Illuminate\Cache\Events\CacheHit (367μs)
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Illuminate\Cache\Events\CacheHit (402μs)
Illuminate\Cache\Events\CacheHit (203μs)
Illuminate\Cache\Events\CacheHit (169μs)
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Illuminate\Cache\Events\CacheHit (237μs)
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Illuminate\Cache\Events\CacheHit (240μs)
Illuminate\Cache\Events\CacheHit (316μs)
Illuminate\Cache\Events\CacheHit (3.66ms)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (316μs)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (220μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (201μs)
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Illuminate\Cache\Events\CacheHit (203μs)
Illuminate\Cache\Events\CacheHit (312μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (263μs)
Illuminate\Cache\Events\CacheHit (244μs)
Illuminate\Cache\Events\CacheHit (342μs)
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Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (155μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (173μs)
Illuminate\Cache\Events\CacheHit (338μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (265μs)
Illuminate\Cache\Events\CacheHit (275μs)
Illuminate\Cache\Events\CacheHit (159μs)
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Illuminate\Cache\Events\CacheHit (610μs)
Illuminate\Cache\Events\CacheHit (7.73ms)
Illuminate\Cache\Events\CacheHit (269μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (207μs)
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Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (154μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (199μs)
Illuminate\Cache\Events\CacheHit (152μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (144μs)
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Illuminate\Cache\Events\CacheHit (325μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (152μs)
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Illuminate\Cache\Events\CacheHit (152μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (146μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (144μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (164μs)
creating: site.layouts.app (496μs)
composing: site.layouts.app (22μs)
creating: components.canonical (417μs)
composing: components.canonical (103μs)
creating: components.open-graph (391μs)
composing: components.open-graph (85μs)
creating: site.headers.header (420μs)
composing: site.headers.header (8.18ms)
Illuminate\Cache\Events\CacheHit (2.49ms)
creating: components.footer (105μs)
composing: components.footer (109μs)
Illuminate\Cache\Events\CacheHit (1.73ms)
Illuminate\Cache\Events\CacheHit (409μs)
Illuminate\Cache\Events\CacheHit (251μs)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheHit (250μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (351μs)
Illuminate\Cache\Events\CacheHit (332μs)
Illuminate\Cache\Events\CacheHit (202μs)
Illuminate\Cache\Events\CacheHit (264μs)
Illuminate\Cache\Events\CacheHit (293μs)
Illuminate\Cache\Events\CacheHit (238μs)
Illuminate\Cache\Events\CacheHit (186μs)
creating: components.forms.contact-us (12.48ms)
composing: components.forms.contact-us (284μs)
creating: components.forms.get-started (168μs)
composing: components.forms.get-started (76μs)
creating: components.forms.free-tool-download (102μs)
composing: components.forms.free-tool-download (64μs)
creating: components.forms.claim-free-worksheet (98μs)
composing: components.forms.claim-free-worksheet (62μs)
creating: components.forms.tutor-subscription-waitlist (93μs)
composing: components.forms.tutor-subscription-waitlist (61μs)
creating: components.forms.tutor-subscription-join (161μs)
composing: components.forms.tutor-subscription-join (73μs)
creating: components.forms.tutor-support (115μs)
composing: components.forms.tutor-support (112μs)

314 x Illuminate\Cache\Events\CacheHit (18.12%)	124ms
17 x Illuminate\Database\Events\StatementPrepared (8.58%)	58.78ms
17 x Illuminate\Database\Events\QueryExecuted (6.55%)	44.88ms
1 x creating: components.forms.contact-us (1.82%)	12.48ms
8 x Illuminate\Cache\Events\CacheMissed (1.21%)	8.27ms
8 x Illuminate\Cache\Events\KeyWritten (1.2%)	8.22ms
1 x composing: site.headers.header (1.19%)	8.18ms
1 x Illuminate\Foundation\Events\LocaleUpdated (0.69%)	4.71ms
1 x Illuminate\Routing\Events\Routing (0.21%)	1.42ms
1 x Illuminate\Database\Events\ConnectionEstablished (0.19%)	1.28ms
9 x eloquent.retrieved: App\Models\SubjectCat (0.14%)	937μs
1 x Illuminate\Routing\Events\RouteMatched (0.11%)	726μs
1 x creating: site.layouts.app (0.07%)	496μs
1 x creating: components.breadcrumbs (0.07%)	469μs
11 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.07%)	455μs
1 x eloquent.booting: App\Models\SubjectCat (0.06%)	443μs
1 x creating: site.headers.header (0.06%)	420μs
1 x creating: components.canonical (0.06%)	417μs
1 x creating: components.open-graph (0.06%)	391μs
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1 x creating: homework.show (0.05%)	329μs
1 x composing: components.forms.contact-us (0.04%)	284μs
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1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.03%)	228μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.03%)	200μs
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1 x composing: homework.show (0.02%)	151μs
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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
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1x components.forms.free-tool-downloadfree-tool-download.blade.phpblade
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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

17 statements were executed, 5 of which were duplicates, 12 unique. Show only duplicated69.21ms

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` = '7170' limit 1

13.32mstwenty4_siteHomeworkLibraryController.php#97

Bindings	0: published 1: 0 2: 7170
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 (15)

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 `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` in (7170)

2.08mstwenty4_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

1.3mstwenty4_siteHomeworkLibrary.php#201

Bindings	0: 3
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select * from `solutionslibrary` where `id` <> 7170 and `subject` = 15 and `status` = 'published' and `price` > 0 order by RAND() limit 6

8.27mstwenty4_siteHomeworkLibraryRepository.php#30

Bindings	0: 7170 1: 15 2: published 3: 0
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select * from `subjects` where `subjects`.`id` in (15)

1.76mstwenty4_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` = 7170 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc

1.09mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 7170 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` = 7170 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc

1.31mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 7170 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` = 7170 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc

1.28mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 7170 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

6.18mstwenty4_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

2.74mstwenty4_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

1.97mstwenty4_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

1.94mstwenty4_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

8.7mstwenty4_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

4.24mstwenty4_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

2.22mstwenty4_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

9.9mstwenty4_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

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App\Models\HomeworkLibrary\HomeworkLibrary: 7HomeworkLibrary.php
App\Models\Subject: 2Subject.php

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1. 1. Solve the following recurrence relation : as = 7ax-1 -10a1-2...

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