ANÁLISE COMBINATÓRIA RESUMO
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=vMcmTHJ__N8
Olá pessoal, tudo bem com vocês? Nesta aula, irei te mostrar como se subdivide a análise Combinatória, para que você reconheça quando e em quais tipos de exercícios usar cada uma delas. Temos a seguinte subdivisão: Princípio Fundamental da Contagem, Permutação, Arranjo e Combinação. • Tenham bons estudos e divirtam-se!","styleRuns":[{"startIndex":0,"length":318,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":318,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CNoBELsvGAIiEwiTnJz81dWLAxV880IFHcvYDzM=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC3ZNY21USEpfX044GAYyJSIRIgt2TWNtVEhKX19OODAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CNoBELsvGAIiEwiTnJz81dWLAxV880IFHcvYDzM=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CNkBELovIhMIk5yc_NXViwMVfPNCBR3L2A8z"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"trlE4kuaG94","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/trlE4kuaG94/hqdefault.jpg?sqp=-oaymwEiCKgBEF5IWvKriqkDFQgBFQAAAAAYASUAAMhCPQCAokN4AQ== rs=AOn4CLCRMsQH91SSjMt4UUTZzj39DF-h9Q","width":168,"height":94},{"url":"https://i.ytimg.com/vi/trlE4kuaG94/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE= rs=AOn4CLD5zFGuMIE2nJMf8bTiJ6Wmsz6wYw","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"MÉDIA ARITMÉTICA PARA VUNESP by MARIOMATICA MATEMATICA 257 views 5 years ago 11 minutes, 20 seconds"}},"simpleText":"MÉDIA ARITMÉTICA PARA VUNESP"},"longBylineText":{"runs":[{"text":"MARIOMATICA MATEMATICA","navigationEndpoint":{"clickTrackingParams":"CNMBEKQwGAAiEwiTnJz81dWLAxV880IFHcvYDzMyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@MARIOMATICA","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC6iQq6WyhynA54ZfFGYm07A","canonicalBaseUrl":"/@MARIOMATICA"}}}]},"publishedTimeText":{"simpleText":"5 years ago"},"viewCountText":{"simpleText":"257 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"11 minutes, 20 seconds"}},"simpleText":"11:20"},"navigationEndpoint":{"clickTrackingParams":"CNMBEKQwGAAiEwiTnJz81dWLAxV880IFHcvYDzMyB3JlbGF0ZWRI3_n_k8fJyeO8AZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=trlE4kuaG94","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"trlE4kuaG94","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-nvm-cxbz.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=b6b944e24b9a1bde ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=500000 mt=1740171430 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"MARIOMATICA MATEMATICA","navigationEndpoint":{"clickTrackingParams":"CNMBEKQwGAAiEwiTnJz81dWLAxV880IFHcvYDzMyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@MARIOMATICA","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC6iQq6WyhynA54ZfFGYm07A","canonicalBaseUrl":"/@MARIOMATICA"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_lxjb7UrFAZZohAr06yzpq00zeLHtm1_sFkmv6R3wj1ng=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CNMBEKQwGAAiEwiTnJz81dWLAxV880IFHcvYDzNA3rfo3KSc0dy2AQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"257 views"}},"simpleText":"257 views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CNcBEP6YBBgFIhMIk5yc_NXViwMVfPNCBR3L2A8z","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CNcBEP6YBBgFIhMIk5yc_NXViwMVfPNCBR3L2A8z","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"trlE4kuaG94","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CNcBEP6YBBgFIhMIk5yc_NXViwMVfPNCBR3L2A8z","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["trlE4kuaG94"],"params":"CAQ%3D"}},"videoIds":["trlE4kuaG94"]}},{"clickTrackingParams":"CNcBEP6YBBgFIhMIk5yc_NXViwMVfPNCBR3L2A8z","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CNgBELlqIhMIk5yc_NXViwMVfPNCBR3L2A8z"}},"popupType":"TOAST"}}]}},"trackingParams":"CNcBEP6YBBgFIhMIk5yc_NXViwMVfPNCBR3L2A8z"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CNMBEKQwGAAiEwiTnJz81dWLAxV880IFHcvYDzM=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgt0cmxFNGt1YUc5NA%3D%3D","commands":[{"clickTrackingParams":"CNMBEKQwGAAiEwiTnJz81dWLAxV880IFHcvYDzM=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CNYBEI5iIhMIk5yc_NXViwMVfPNCBR3L2A8z","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CNMBEKQwGAAiEwiTnJz81dWLAxV880IFHcvYDzM=","hasSeparator":true}}],"trackingParams":"CNMBEKQwGAAiEwiTnJz81dWLAxV880IFHcvYDzM=","accessibility":{"accessibilityData":{"label":"Action menu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"11 minutes, 20 seconds"}},"simpleText":"11:20"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CNUBEPnnAxgBIhMIk5yc_NXViwMVfPNCBR3L2A8z","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"trlE4kuaG94","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CNUBEPnnAxgBIhMIk5yc_NXViwMVfPNCBR3L2A8z","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"trlE4kuaG94"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CNUBEPnnAxgBIhMIk5yc_NXViwMVfPNCBR3L2A8z"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CNQBEMfsBBgCIhMIk5yc_NXViwMVfPNCBR3L2A8z","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CNQBEMfsBBgCIhMIk5yc_NXViwMVfPNCBR3L2A8z","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"trlE4kuaG94","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CNQBEMfsBBgCIhMIk5yc_NXViwMVfPNCBR3L2A8z","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["trlE4kuaG94"],"params":"CAQ%3D"}},"videoIds":["trlE4kuaG94"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CNQBEMfsBBgCIhMIk5yc_NXViwMVfPNCBR3L2A8z"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"MÉDIA ARITMÉTICA PARA VUNESP - 11 minutes, 20 seconds - Go to channel - MARIOMATICA MATEMATICA - 257 views - 5 years ago - play video"}}}},{"compactVideoRenderer":{"videoId":"lGsqbLXDQao","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/lGsqbLXDQao/hqdefault.jpg?sqp=-oaymwEiCKgBEF5IWvKriqkDFQgBFQAAAAAYASUAAMhCPQCAokN4AQ== rs=AOn4CLDoECd4ZM_tBhoyVsNFodzJ1ybB5Q","width":168,"height":94},{"url":"https://i.ytimg.com/vi/lGsqbLXDQao/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE= rs=AOn4CLDIQ8M81QTnUHBdo8uRvMpG-MDgMg","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Aula 90 - Conjuntos e Porcentagem em um mesmo Problema - FGV by Professor Rafael Moreno 26 views 4 weeks ago 3 minutes, 1 second"}},"simpleText":"Aula 90 - Conjuntos e Porcentagem em um mesmo Problema - FGV"},"longBylineText":{"runs":[{"text":"Professor Rafael Moreno","navigationEndpoint":{"clickTrackingParams":"CM0BEKQwGAEiEwiTnJz81dWLAxV880IFHcvYDzMyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@ProfessorRafaelMoreno","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCc4ScqRFvU-u5dDEjf-3XFw","canonicalBaseUrl":"/@ProfessorRafaelMoreno"}}}]},"publishedTimeText":{"simpleText":"4 weeks ago"},"viewCountText":{"simpleText":"26 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"3 minutes, 1 second"}},"simpleText":"3:01"},"navigationEndpoint":{"clickTrackingParams":"CM0BEKQwGAEiEwiTnJz81dWLAxV880IFHcvYDzMyB3JlbGF0ZWRI3_n_k8fJyeO8AZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=lGsqbLXDQao","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"lGsqbLXDQao","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr4---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=946b2a6cb5c341aa ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=455000 mt=1740171430 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Professor Rafael Moreno","navigationEndpoint":{"clickTrackingParams":"CM0BEKQwGAEiEwiTnJz81dWLAxV880IFHcvYDzMyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@ProfessorRafaelMoreno","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCc4ScqRFvU-u5dDEjf-3XFw","canonicalBaseUrl":"/@ProfessorRafaelMoreno"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ePrwZAJcHiHklBE-M3XxcHV64cyfpylu0stP9WT15RxwbuEmafe63YsgaJGcv8DsOXfzow1CazA=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CM0BEKQwGAEiEwiTnJz81dWLAxV880IFHcvYDzNAqoONrsvNyrWUAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"26 views"}},"simpleText":"26 views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CNEBEP6YBBgFIhMIk5yc_NXViwMVfPNCBR3L2A8z","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CNEBEP6YBBgFIhMIk5yc_NXViwMVfPNCBR3L2A8z","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"lGsqbLXDQao","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CNEBEP6YBBgFIhMIk5yc_NXViwMVfPNCBR3L2A8z","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["lGsqbLXDQao"],"params":"CAQ%3D"}},"videoIds":["lGsqbLXDQao"]}},{"clickTrackingParams":"CNEBEP6YBBgFIhMIk5yc_NXViwMVfPNCBR3L2A8z","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CNIBELlqIhMIk5yc_NXViwMVfPNCBR3L2A8z"}},"popupType":"TOAST"}}]}},"trackingParams":"CNEBEP6YBBgFIhMIk5yc_NXViwMVfPNCBR3L2A8z"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CM0BEKQwGAEiEwiTnJz81dWLAxV880IFHcvYDzM=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtsR3NxYkxYRFFhbw%3D%3D","commands":[{"clickTrackingParams":"CM0BEKQwGAEiEwiTnJz81dWLAxV880IFHcvYDzM=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CNABEI5iIhMIk5yc_NXViwMVfPNCBR3L2A8z","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CM0BEKQwGAEiEwiTnJz81dWLAxV880IFHcvYDzM=","hasSeparator":true}}],"trackingParams":"CM0BEKQwGAEiEwiTnJz81dWLAxV880IFHcvYDzM=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"3 minutes, 1 second"}},"simpleText":"3:01"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CM8BEPnnAxgBIhMIk5yc_NXViwMVfPNCBR3L2A8z","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"lGsqbLXDQao","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CM8BEPnnAxgBIhMIk5yc_NXViwMVfPNCBR3L2A8z","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"lGsqbLXDQao"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CM8BEPnnAxgBIhMIk5yc_NXViwMVfPNCBR3L2A8z"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CM4BEMfsBBgCIhMIk5yc_NXViwMVfPNCBR3L2A8z","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CM4BEMfsBBgCIhMIk5yc_NXViwMVfPNCBR3L2A8z","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"lGsqbLXDQao","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CM4BEMfsBBgCIhMIk5yc_NXViwMVfPNCBR3L2A8z","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["lGsqbLXDQao"],"params":"CAQ%3D"}},"videoIds":["lGsqbLXDQao"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CM4BEMfsBBgCIhMIk5yc_NXViwMVfPNCBR3L2A8z"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Aula 90 - Conjuntos e Porcentagem em um mesmo Problema - FGV - 3 minutes, 1 second - Go to channel - Professor Rafael Moreno - 26 views - 4 weeks ago - play video"}}}},{"compactVideoRenderer":{"videoId":"6pDzW6A_Awg","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/6pDzW6A_Awg/hqdefault.jpg?sqp=-oaymwEiCKgBEF5IWvKriqkDFQgBFQAAAAAYASUAAMhCPQCAokN4AQ== rs=AOn4CLAPrSAM8dOx1pM03jwnSrrlNTt5qg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/6pDzW6A_Awg/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE= rs=AOn4CLCszXtcukqcdtbBcJq9JGrqm1RCSA","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"NÚMEROS REAIS | AULA 01 | O QUE SÃO? by Matemática com o Davi 461 views 6 months ago 12 minutes, 43 seconds"}},"simpleText":"NÚMEROS REAIS | AULA 01 | O QUE SÃO?"},"longBylineText":{"runs":[{"text":"Matemática com o Davi","navigationEndpoint":{"clickTrackingParams":"CMcBEKQwGAIiEwiTnJz81dWLAxV880IFHcvYDzMyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@matematicacomdavioliveira","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCiJ6TjxXbm5jqYKu6RyZAhg","canonicalBaseUrl":"/@matematicacomdavioliveira"}}}]},"publishedTimeText":{"simpleText":"6 months ago"},"viewCountText":{"simpleText":"461 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"12 minutes, 43 seconds"}},"simpleText":"12:43"},"navigationEndpoint":{"clickTrackingParams":"CMcBEKQwGAIiEwiTnJz81dWLAxV880IFHcvYDzMyB3JlbGF0ZWRI3_n_k8fJyeO8AZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=6pDzW6A_Awg","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"6pDzW6A_Awg","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-nv47lnly.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=ea90f35ba03f0308 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=723750 mt=1740171430 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Matemática com o Davi","navigationEndpoint":{"clickTrackingParams":"CMcBEKQwGAIiEwiTnJz81dWLAxV880IFHcvYDzMyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@matematicacomdavioliveira","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCiJ6TjxXbm5jqYKu6RyZAhg","canonicalBaseUrl":"/@matematicacomdavioliveira"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/iYKSGzUDgEOtUaBmq-NKVUDy78L-bsePGJElY-9xY5F7IwwAkj3CNP0JxEPmsEqBBvm0FfS1Fg=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CMcBEKQwGAIiEwiTnJz81dWLAxV880IFHcvYDzNAiIb8gbrrvMjqAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"461 views"}},"simpleText":"461 views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CMsBEP6YBBgFIhMIk5yc_NXViwMVfPNCBR3L2A8z","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMsBEP6YBBgFIhMIk5yc_NXViwMVfPNCBR3L2A8z","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"6pDzW6A_Awg","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMsBEP6YBBgFIhMIk5yc_NXViwMVfPNCBR3L2A8z","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["6pDzW6A_Awg"],"params":"CAQ%3D"}},"videoIds":["6pDzW6A_Awg"]}},{"clickTrackingParams":"CMsBEP6YBBgFIhMIk5yc_NXViwMVfPNCBR3L2A8z","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CMwBELlqIhMIk5yc_NXViwMVfPNCBR3L2A8z"}},"popupType":"TOAST"}}]}},"trackingParams":"CMsBEP6YBBgFIhMIk5yc_NXViwMVfPNCBR3L2A8z"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CMcBEKQwGAIiEwiTnJz81dWLAxV880IFHcvYDzM=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgs2cER6VzZBX0F3Zw%3D%3D","commands":[{"clickTrackingParams":"CMcBEKQwGAIiEwiTnJz81dWLAxV880IFHcvYDzM=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CMoBEI5iIhMIk5yc_NXViwMVfPNCBR3L2A8z","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CMcBEKQwGAIiEwiTnJz81dWLAxV880IFHcvYDzM=","hasSeparator":true}}],"trackingParams":"CMcBEKQwGAIiEwiTnJz81dWLAxV880IFHcvYDzM=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"12 minutes, 43 seconds"}},"simpleText":"12:43"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CMkBEPnnAxgBIhMIk5yc_NXViwMVfPNCBR3L2A8z","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"6pDzW6A_Awg","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CMkBEPnnAxgBIhMIk5yc_NXViwMVfPNCBR3L2A8z","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"6pDzW6A_Awg"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CMkBEPnnAxgBIhMIk5yc_NXViwMVfPNCBR3L2A8z"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CMgBEMfsBBgCIhMIk5yc_NXViwMVfPNCBR3L2A8z","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMgBEMfsBBgCIhMIk5yc_NXViwMVfPNCBR3L2A8z","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"6pDzW6A_Awg","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMgBEMfsBBgCIhMIk5yc_NXViwMVfPNCBR3L2A8z","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["6pDzW6A_Awg"],"params":"CAQ%3D"}},"videoIds":["6pDzW6A_Awg"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CMgBEMfsBBgCIhMIk5yc_NXViwMVfPNCBR3L2A8z"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"NÚMEROS REAIS | AULA 01 | O QUE SÃO? - 12 minutes, 43 seconds - Go to channel - Matemática com o Davi - 461 views - 6 months ago - play video"}}}},{"compactVideoRenderer":{"videoId":"lJLMHFqrn4c","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/lJLMHFqrn4c/hqdefault.jpg?sqp=-oaymwEiCKgBEF5IWvKriqkDFQgBFQAAAAAYASUAAMhCPQCAokN4AQ== rs=AOn4CLAqdQgPfoScgZCQVcupogQN2p9uBQ","width":168,"height":94},{"url":"https://i.ytimg.com/vi/lJLMHFqrn4c/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE= rs=AOn4CLD7BfIIzBaZaHnMbcdjQU2Tv9ISEw","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"APRENDA COM EXERCÍCIOS | ANÁLISE COMBINATÓRIA by Dicasdemat Sandro Curió 981,636 views 4 years ago 44 minutes"}},"simpleText":"APRENDA COM EXERCÍCIOS | ANÁLISE COMBINATÓRIA"},"longBylineText":{"runs":[{"text":"Dicasdemat Sandro Curió","navigationEndpoint":{"clickTrackingParams":"CMEBEKQwGAMiEwiTnJz81dWLAxV880IFHcvYDzMyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@sandrocuriodicasdemat","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCXBJ_Ef8qfYrwN5cY8W7ziA","canonicalBaseUrl":"/@sandrocuriodicasdemat"}}}]},"publishedTimeText":{"simpleText":"4 years ago"},"viewCountText":{"simpleText":"981,636 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"44 minutes, 16 seconds"}},"simpleText":"44:16"},"navigationEndpoint":{"clickTrackingParams":"CMEBEKQwGAMiEwiTnJz81dWLAxV880IFHcvYDzMyB3JlbGF0ZWRI3_n_k8fJyeO8AZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=lJLMHFqrn4c","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"lJLMHFqrn4c","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-nvm-cxbz.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=9492cc1c5aab9f87 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=500000 mt=1740171430 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Dicasdemat Sandro Curió","navigationEndpoint":{"clickTrackingParams":"CMEBEKQwGAMiEwiTnJz81dWLAxV880IFHcvYDzMyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@sandrocuriodicasdemat","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCXBJ_Ef8qfYrwN5cY8W7ziA","canonicalBaseUrl":"/@sandrocuriodicasdemat"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_mRbvYBdE058O7f7q0sdVQpy6yrm9Od-7oM_2zeLLjEs7U=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"ownerBadges":[{"metadataBadgeRenderer":{"icon":{"iconType":"CHECK_CIRCLE_THICK"},"style":"BADGE_STYLE_TYPE_VERIFIED","tooltip":"Verified","trackingParams":"CMEBEKQwGAMiEwiTnJz81dWLAxV880IFHcvYDzM=","accessibilityData":{"label":"Verified"}}}],"trackingParams":"CMEBEKQwGAMiEwiTnJz81dWLAxV880IFHcvYDzNAh7-u1cWDs8mUAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"981K views"}},"simpleText":"981K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CMUBEP6YBBgGIhMIk5yc_NXViwMVfPNCBR3L2A8z","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMUBEP6YBBgGIhMIk5yc_NXViwMVfPNCBR3L2A8z","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"lJLMHFqrn4c","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMUBEP6YBBgGIhMIk5yc_NXViwMVfPNCBR3L2A8z","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["lJLMHFqrn4c"],"params":"CAQ%3D"}},"videoIds":["lJLMHFqrn4c"]}},{"clickTrackingParams":"CMUBEP6YBBgGIhMIk5yc_NXViwMVfPNCBR3L2A8z","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CMYBELlqIhMIk5yc_NXViwMVfPNCBR3L2A8z"}},"popupType":"TOAST"}}]}},"trackingParams":"CMUBEP6YBBgGIhMIk5yc_NXViwMVfPNCBR3L2A8z"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CMEBEKQwGAMiEwiTnJz81dWLAxV880IFHcvYDzM=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtsSkxNSEZxcm40Yw%3D%3D","commands":[{"clickTrackingParams":"CMEBEKQwGAMiEwiTnJz81dWLAxV880IFHcvYDzM=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CMQBEI5iIhMIk5yc_NXViwMVfPNCBR3L2A8z","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CMEBEKQwGAMiEwiTnJz81dWLAxV880IFHcvYDzM=","hasSeparator":true}}],"trackingParams":"CMEBEKQwGAMiEwiTnJz81dWLAxV880IFHcvYDzM=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"44 minutes, 16 seconds"}},"simpleText":"44:16"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CMMBEPnnAxgCIhMIk5yc_NXViwMVfPNCBR3L2A8z","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"lJLMHFqrn4c","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CMMBEPnnAxgCIhMIk5yc_NXViwMVfPNCBR3L2A8z","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"lJLMHFqrn4c"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CMMBEPnnAxgCIhMIk5yc_NXViwMVfPNCBR3L2A8z"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CMIBEMfsBBgDIhMIk5yc_NXViwMVfPNCBR3L2A8z","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMIBEMfsBBgDIhMIk5yc_NXViwMVfPNCBR3L2A8z","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"lJLMHFqrn4c","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMIBEMfsBBgDIhMIk5yc_NXViwMVfPNCBR3L2A8z","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["lJLMHFqrn4c"],"params":"CAQ%3D"}},"videoIds":["lJLMHFqrn4c"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CMIBEMfsBBgDIhMIk5yc_NXViwMVfPNCBR3L2A8z"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"APRENDA COM EXERCÍCIOS | ANÁLISE COMBINATÓRIA - 44 minutes - Go to channel - Dicasdemat Sandro Curió - 981K views - 4 years ago - play video"}}}},{"compactVideoRenderer":{"videoId":"MfGS2h0cvZ4","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/MfGS2h0cvZ4/hqdefault.jpg?sqp=-oaymwEiCKgBEF5IWvKriqkDFQgBFQAAAAAYASUAAMhCPQCAokN4AQ== rs=AOn4CLCupEgI1U9DqMd6vfINf_tChXYm9A","width":168,"height":94},{"url":"https://i.ytimg.com/vi/MfGS2h0cvZ4/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE= rs=AOn4CLCZvV2E_mpygEwD0mnHQ-RCxo9_Ug","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"RESUMÃO: Análise Combinatória | ProEnem by ProEnem - Enem 2025 16,404 views 1 year ago 9 minutes, 19 seconds"}},"simpleText":"RESUMÃO: Análise Combinatória | ProEnem"},"longBylineText":{"runs":[{"text":"ProEnem - Enem 2025 ","navigationEndpoint":{"clickTrackingParams":"CLsBEKQwGAQiEwiTnJz81dWLAxV880IFHcvYDzMyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@ProENEMOficial","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCzCutgYFZpBdElMw3krjG0A","canonicalBaseUrl":"/@ProENEMOficial"}}}]},"publishedTimeText":{"simpleText":"1 year ago"},"viewCountText":{"simpleText":"16,404 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"9 minutes, 19 seconds"}},"simpleText":"9:19"},"navigationEndpoint":{"clickTrackingParams":"CLsBEKQwGAQiEwiTnJz81dWLAxV880IFHcvYDzMyB3JlbGF0ZWRI3_n_k8fJyeO8AZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=MfGS2h0cvZ4","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"MfGS2h0cvZ4","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-nvm-cxbz.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=31f192da1d1cbd9e ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=500000 mt=1740171430 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"ProEnem - Enem 2025 ","navigationEndpoint":{"clickTrackingParams":"CLsBEKQwGAQiEwiTnJz81dWLAxV880IFHcvYDzMyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@ProENEMOficial","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCzCutgYFZpBdElMw3krjG0A","canonicalBaseUrl":"/@ProENEMOficial"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/p_tvFulQUx3fkj2kBonw3Yv9MkOJK_mpW9IpZ-yXH2dyu_qlK8DqlYdhXsZC-4GFEt-tIqkFKg=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CLsBEKQwGAQiEwiTnJz81dWLAxV880IFHcvYDzNAnvvy6KHb5Pgx","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"16K views"}},"simpleText":"16K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CL8BEP6YBBgFIhMIk5yc_NXViwMVfPNCBR3L2A8z","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CL8BEP6YBBgFIhMIk5yc_NXViwMVfPNCBR3L2A8z","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"MfGS2h0cvZ4","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CL8BEP6YBBgFIhMIk5yc_NXViwMVfPNCBR3L2A8z","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["MfGS2h0cvZ4"],"params":"CAQ%3D"}},"videoIds":["MfGS2h0cvZ4"]}},{"clickTrackingParams":"CL8BEP6YBBgFIhMIk5yc_NXViwMVfPNCBR3L2A8z","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CMABELlqIhMIk5yc_NXViwMVfPNCBR3L2A8z"}},"popupType":"TOAST"}}]}},"trackingParams":"CL8BEP6YBBgFIhMIk5yc_NXViwMVfPNCBR3L2A8z"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CLsBEKQwGAQiEwiTnJz81dWLAxV880IFHcvYDzM=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtNZkdTMmgwY3ZaNA%3D%3D","commands":[{"clickTrackingParams":"CLsBEKQwGAQiEwiTnJz81dWLAxV880IFHcvYDzM=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CL4BEI5iIhMIk5yc_NXViwMVfPNCBR3L2A8z","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CLsBEKQwGAQiEwiTnJz81dWLAxV880IFHcvYDzM=","hasSeparator":true}}],"trackingParams":"CLsBEKQwGAQiEwiTnJz81dWLAxV880IFHcvYDzM=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"9 minutes, 19 seconds"}},"simpleText":"9:19"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CL0BEPnnAxgBIhMIk5yc_NXViwMVfPNCBR3L2A8z","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"MfGS2h0cvZ4","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CL0BEPnnAxgBIhMIk5yc_NXViwMVfPNCBR3L2A8z","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"MfGS2h0cvZ4"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CL0BEPnnAxgBIhMIk5yc_NXViwMVfPNCBR3L2A8z"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLwBEMfsBBgCIhMIk5yc_NXViwMVfPNCBR3L2A8z","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLwBEMfsBBgCIhMIk5yc_NXViwMVfPNCBR3L2A8z","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"MfGS2h0cvZ4","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLwBEMfsBBgCIhMIk5yc_NXViwMVfPNCBR3L2A8z","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["MfGS2h0cvZ4"],"params":"CAQ%3D"}},"videoIds":["MfGS2h0cvZ4"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLwBEMfsBBgCIhMIk5yc_NXViwMVfPNCBR3L2A8z"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"RESUMÃO: Análise Combinatória | ProEnem - 9 minutes, 19 seconds - Go to channel - ProEnem - Enem 2025 - 16K views - 1 year ago - play video"}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/rSgs9YD9ns0/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLB7Bt0-CML-HhsG_bY1gKJykxL5zw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/rSgs9YD9ns0/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLDDf19OZ8lbnVs46u0g0gnsvyEOAQ","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"11 videos","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":795942,"darkTheme":795942}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAY_ALL"}}]},"text":{"content":"Play all","styleRuns":[{"startIndex":0,"length":8}]},"style":"THUMBNAIL_HOVER_OVERLAY_STYLE_COVER"}}],"backgroundColor":{"lightTheme":1391935,"darkTheme":1391935}}},"stackColor":{"lightTheme":7051161,"darkTheme":7375756}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Análise Combinatória - PLAYLIST"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Dicasdemat Sandro Curió
#############################
