Notion de Logique S1 Méthodes de raisonnement mathématique partie 3
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=6JE9bzRGgmE
الإشتراك في العرض المرجو الاتصال بنا عبر • whatsapp • +212770259740 • Le but de ce premier chapitre est de préciser certaines règles de logique sur lesquelles nous nous appuierons pour justifier les raisonnements utilisés dans nos démonstrations. • • Méthodes de raisonnement mathématique • Raisonnement par l'asurde • Démonstration par la contraposée • Démonstration par un contre exemple • Démonstration par récurrence • logique les quantificateurs • Introduction à la logique mathématique • Notion de Logique • notion de logique • theorie des ensembles • notion de logique et theorie des ensembles • Logique S1 • fondements de mathématique • algébre 1","styleRuns":[{"startIndex":0,"length":628,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":628,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CMABELsvGAIiEwjahcXY1e6LAxWd5EIFHTEbA3k=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SCzZKRTlielJHZ21FGAYyJSIRIgs2SkU5YnpSR2dtRTAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CMABELsvGAIiEwjahcXY1e6LAxWd5EIFHTEbA3k=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CL8BELovIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"HtWufPzcLzs","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/HtWufPzcLzs/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLA6o7O5lE6ByCvdpg083AaOwOhbyw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/HtWufPzcLzs/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLBkOTGxEIWSC0K6TuoGtSL0q1MTIA","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Logique et théorie des ensembles S1:ensembles , relations et applications : partie 4 by exo maroc 126,041 views 4 years ago 26 minutes"}},"simpleText":"Logique et théorie des ensembles S1:ensembles , relations et applications : partie 4"},"longBylineText":{"runs":[{"text":"exo maroc","navigationEndpoint":{"clickTrackingParams":"CLgBEKQwGAAiEwjahcXY1e6LAxWd5EIFHTEbA3kyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@exomaroc","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCXJAAONO4BAW9HKzSEqw4PQ","canonicalBaseUrl":"/@exomaroc"}}}]},"publishedTimeText":{"simpleText":"4 years ago"},"viewCountText":{"simpleText":"126,041 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"26 minutes, 19 seconds"}},"simpleText":"26:19"},"navigationEndpoint":{"clickTrackingParams":"CLgBEKQwGAAiEwjahcXY1e6LAxWd5EIFHTEbA3kyB3JlbGF0ZWRI4YSaovOtz8joAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=HtWufPzcLzs","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"HtWufPzcLzs","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---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=1ed5ae7cfcdc2f3b ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1262500 mt=1741030389 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"exo maroc","navigationEndpoint":{"clickTrackingParams":"CLgBEKQwGAAiEwjahcXY1e6LAxWd5EIFHTEbA3kyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@exomaroc","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCXJAAONO4BAW9HKzSEqw4PQ","canonicalBaseUrl":"/@exomaroc"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_liDl0VKxvsLs85g43_v-bse7hHKzPUMgJgRlWa91_zkrw=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":"CLgBEKQwGAAiEwjahcXY1e6LAxWd5EIFHTEbA3k=","accessibilityData":{"label":"Verified"}}}],"trackingParams":"CLgBEKQwGAAiEwjahcXY1e6LAxWd5EIFHTEbA3lAu97w5s_P6-oe","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"126K views"}},"simpleText":"126K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CL0BEP6YBBgHIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CL0BEP6YBBgHIhMI2oXF2NXuiwMVneRCBR0xGwN5","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"HtWufPzcLzs","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CL0BEP6YBBgHIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["HtWufPzcLzs"],"params":"CAQ%3D"}},"videoIds":["HtWufPzcLzs"]}},{"clickTrackingParams":"CL0BEP6YBBgHIhMI2oXF2NXuiwMVneRCBR0xGwN5","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CL4BELlqIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},"popupType":"TOAST"}}]}},"trackingParams":"CL0BEP6YBBgHIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CLwBENGqBRgIIhMI2oXF2NXuiwMVneRCBR0xGwN5","offlineVideoEndpoint":{"videoId":"HtWufPzcLzs","onAddCommand":{"clickTrackingParams":"CLwBENGqBRgIIhMI2oXF2NXuiwMVneRCBR0xGwN5","getDownloadActionCommand":{"videoId":"HtWufPzcLzs","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CLwBENGqBRgIIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CLgBEKQwGAAiEwjahcXY1e6LAxWd5EIFHTEbA3k=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtIdFd1ZlB6Y0x6cw%3D%3D","commands":[{"clickTrackingParams":"CLgBEKQwGAAiEwjahcXY1e6LAxWd5EIFHTEbA3k=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLsBEI5iIhMI2oXF2NXuiwMVneRCBR0xGwN5","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CLgBEKQwGAAiEwjahcXY1e6LAxWd5EIFHTEbA3k=","hasSeparator":true}}],"trackingParams":"CLgBEKQwGAAiEwjahcXY1e6LAxWd5EIFHTEbA3k=","accessibility":{"accessibilityData":{"label":"Action menu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"26 minutes, 19 seconds"}},"simpleText":"26:19"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLoBEPnnAxgCIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"HtWufPzcLzs","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLoBEPnnAxgCIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"HtWufPzcLzs"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLoBEPnnAxgCIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLkBEMfsBBgDIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLkBEMfsBBgDIhMI2oXF2NXuiwMVneRCBR0xGwN5","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"HtWufPzcLzs","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLkBEMfsBBgDIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["HtWufPzcLzs"],"params":"CAQ%3D"}},"videoIds":["HtWufPzcLzs"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLkBEMfsBBgDIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Logique et théorie des ensembles S1:ensembles , relations et applications : partie 4 - 26 minutes - Go to channel - exo maroc - 126K views - 4 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/HtWufPzcLzs/mqdefault_6s.webp?du=3000 sqp=CPGJmL4G rs=AOn4CLBKBOefz2gkU4uTaTYQpq3hz_8WaQ","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"SypMYfv-EB8","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/SypMYfv-EB8/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLAxHcGceernAuaUPm9oUrKBMrysQg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/SypMYfv-EB8/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLBdwZ8zA4ZsHVt0ZlIXyJPEPKwj-w","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Méthodes de raisonnement mathématiques by Warda Maths 233,529 views 4 years ago 54 minutes"}},"simpleText":"Méthodes de raisonnement mathématiques"},"longBylineText":{"runs":[{"text":"Warda Maths","navigationEndpoint":{"clickTrackingParams":"CLEBEKQwGAEiEwjahcXY1e6LAxWd5EIFHTEbA3kyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@wardamaths7987","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCJWytAVZJGErJDq84CRS2IQ","canonicalBaseUrl":"/@wardamaths7987"}}}]},"publishedTimeText":{"simpleText":"4 years ago"},"viewCountText":{"simpleText":"233,529 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"54 minutes, 9 seconds"}},"simpleText":"54:09"},"navigationEndpoint":{"clickTrackingParams":"CLEBEKQwGAEiEwjahcXY1e6LAxWd5EIFHTEbA3kyB3JlbGF0ZWRI4YSaovOtz8joAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=SypMYfv-EB8","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"SypMYfv-EB8","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---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=4b2a4c61fbfe101f ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1262500 mt=1741030389 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Warda Maths","navigationEndpoint":{"clickTrackingParams":"CLEBEKQwGAEiEwjahcXY1e6LAxWd5EIFHTEbA3kyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@wardamaths7987","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCJWytAVZJGErJDq84CRS2IQ","canonicalBaseUrl":"/@wardamaths7987"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/RvJfwYbr1DIq7JMZbYVKGxlKouPvwjL3CnOwcxnCeYSGLfiT9Kai70QxgIEBmRkW7C9JIuzxyA=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CLEBEKQwGAEiEwjahcXY1e6LAxWd5EIFHTEbA3lAn6D435-Mk5VL","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"233K views"}},"simpleText":"233K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLYBEP6YBBgGIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLYBEP6YBBgGIhMI2oXF2NXuiwMVneRCBR0xGwN5","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"SypMYfv-EB8","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLYBEP6YBBgGIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["SypMYfv-EB8"],"params":"CAQ%3D"}},"videoIds":["SypMYfv-EB8"]}},{"clickTrackingParams":"CLYBEP6YBBgGIhMI2oXF2NXuiwMVneRCBR0xGwN5","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CLcBELlqIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},"popupType":"TOAST"}}]}},"trackingParams":"CLYBEP6YBBgGIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CLUBENGqBRgHIhMI2oXF2NXuiwMVneRCBR0xGwN5","offlineVideoEndpoint":{"videoId":"SypMYfv-EB8","onAddCommand":{"clickTrackingParams":"CLUBENGqBRgHIhMI2oXF2NXuiwMVneRCBR0xGwN5","getDownloadActionCommand":{"videoId":"SypMYfv-EB8","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CLUBENGqBRgHIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CLEBEKQwGAEiEwjahcXY1e6LAxWd5EIFHTEbA3k=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtTeXBNWWZ2LUVCOA%3D%3D","commands":[{"clickTrackingParams":"CLEBEKQwGAEiEwjahcXY1e6LAxWd5EIFHTEbA3k=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLQBEI5iIhMI2oXF2NXuiwMVneRCBR0xGwN5","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CLEBEKQwGAEiEwjahcXY1e6LAxWd5EIFHTEbA3k=","hasSeparator":true}}],"trackingParams":"CLEBEKQwGAEiEwjahcXY1e6LAxWd5EIFHTEbA3k=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"54 minutes, 9 seconds"}},"simpleText":"54:09"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLMBEPnnAxgBIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"SypMYfv-EB8","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLMBEPnnAxgBIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"SypMYfv-EB8"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLMBEPnnAxgBIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLIBEMfsBBgCIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLIBEMfsBBgCIhMI2oXF2NXuiwMVneRCBR0xGwN5","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"SypMYfv-EB8","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLIBEMfsBBgCIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["SypMYfv-EB8"],"params":"CAQ%3D"}},"videoIds":["SypMYfv-EB8"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLIBEMfsBBgCIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Méthodes de raisonnement mathématiques - 54 minutes - Go to channel - Warda Maths - 233K views - 4 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/SypMYfv-EB8/mqdefault_6s.webp?du=3000 sqp=CN6ImL4G rs=AOn4CLCO-MX7mGq10SvQcZj1WnjfKnEORA","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"ssiGQdxwwJc","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/ssiGQdxwwJc/hqdefault.jpg?sqp=-oaymwE1CKgBEF5IVfKriqkDKAgBFQAAiEIYAXABwAEG8AEB-AGOA4AC5gGKAgwIABABGBMgJCh_MA8= rs=AOn4CLCDDtvWdXGv9RdmyhsnW6XyQA72jw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/ssiGQdxwwJc/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgBjgOAAuYBigIMCAAQARgTICQofzAP rs=AOn4CLA0nM2t9ExmJMcI4juoumW-pm6nJg","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"في هذا الفيديو ، ستتعلم كيفية استخدام المضارع المستمر بشكل صحيح في أشكال pesent continoust by English Universe 14 views 6 hours ago 10 minutes, 36 seconds"}},"simpleText":"في هذا الفيديو ، ستتعلم كيفية استخدام المضارع المستمر بشكل صحيح في أشكال pesent continoust"},"longBylineText":{"runs":[{"text":"English Universe","navigationEndpoint":{"clickTrackingParams":"CKoBEKQwGAIiEwjahcXY1e6LAxWd5EIFHTEbA3kyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@Englishuniverse101","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCpS7rbIZHBIauLfbqg3h90A","canonicalBaseUrl":"/@Englishuniverse101"}}}]},"publishedTimeText":{"simpleText":"6 hours ago"},"viewCountText":{"simpleText":"14 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"10 minutes, 36 seconds"}},"simpleText":"10:36"},"navigationEndpoint":{"clickTrackingParams":"CKoBEKQwGAIiEwjahcXY1e6LAxWd5EIFHTEbA3kyB3JlbGF0ZWRI4YSaovOtz8joAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=ssiGQdxwwJc","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"ssiGQdxwwJc","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---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=b2c88641dc70c097 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1262500 mt=1741030389 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"English Universe","navigationEndpoint":{"clickTrackingParams":"CKoBEKQwGAIiEwjahcXY1e6LAxWd5EIFHTEbA3kyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@Englishuniverse101","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCpS7rbIZHBIauLfbqg3h90A","canonicalBaseUrl":"/@Englishuniverse101"}}}]},"badges":[{"metadataBadgeRenderer":{"style":"BADGE_STYLE_TYPE_SIMPLE","label":"New","trackingParams":"CKoBEKQwGAIiEwjahcXY1e6LAxWd5EIFHTEbA3k="}}],"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/RjGOwuPU4SN8ieX_oLpBjuccoYWRObkghz0gZ-xRyIobNKoeilwL7BpS9LJeXM-zptiT-GuTmw=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CKoBEKQwGAIiEwjahcXY1e6LAxWd5EIFHTEbA3lAl4HD453IoeSyAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"14 views"}},"simpleText":"14 views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CK8BEP6YBBgGIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CK8BEP6YBBgGIhMI2oXF2NXuiwMVneRCBR0xGwN5","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"ssiGQdxwwJc","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CK8BEP6YBBgGIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["ssiGQdxwwJc"],"params":"CAQ%3D"}},"videoIds":["ssiGQdxwwJc"]}},{"clickTrackingParams":"CK8BEP6YBBgGIhMI2oXF2NXuiwMVneRCBR0xGwN5","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CLABELlqIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},"popupType":"TOAST"}}]}},"trackingParams":"CK8BEP6YBBgGIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CK4BENGqBRgHIhMI2oXF2NXuiwMVneRCBR0xGwN5","offlineVideoEndpoint":{"videoId":"ssiGQdxwwJc","onAddCommand":{"clickTrackingParams":"CK4BENGqBRgHIhMI2oXF2NXuiwMVneRCBR0xGwN5","getDownloadActionCommand":{"videoId":"ssiGQdxwwJc","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CK4BENGqBRgHIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CKoBEKQwGAIiEwjahcXY1e6LAxWd5EIFHTEbA3k=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgtzc2lHUWR4d3dKYw%3D%3D","commands":[{"clickTrackingParams":"CKoBEKQwGAIiEwjahcXY1e6LAxWd5EIFHTEbA3k=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CK0BEI5iIhMI2oXF2NXuiwMVneRCBR0xGwN5","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CKoBEKQwGAIiEwjahcXY1e6LAxWd5EIFHTEbA3k=","hasSeparator":true}}],"trackingParams":"CKoBEKQwGAIiEwjahcXY1e6LAxWd5EIFHTEbA3k=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"10 minutes, 36 seconds"}},"simpleText":"10:36"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKwBEPnnAxgCIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"ssiGQdxwwJc","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CKwBEPnnAxgCIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"ssiGQdxwwJc"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKwBEPnnAxgCIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKsBEMfsBBgDIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKsBEMfsBBgDIhMI2oXF2NXuiwMVneRCBR0xGwN5","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"ssiGQdxwwJc","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKsBEMfsBBgDIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["ssiGQdxwwJc"],"params":"CAQ%3D"}},"videoIds":["ssiGQdxwwJc"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKsBEMfsBBgDIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"في هذا الفيديو ، ستتعلم كيفية استخدام المضارع المستمر بشكل صحيح في أشكال pesent continoust - 10 minutes, 36 seconds - Go to channel - English Universe - 14 views - 6 hours ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"-GOmF9pbZug","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/-GOmF9pbZug/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLBeSfmZ4M-QQIAenpaC3a0OEjFWwA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/-GOmF9pbZug/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLDR9EkdgrMxPU6ev934EgSvDOAxsA","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Méthodes de Raisonnement : Part I1I Raisonnement Cas par Cas (Astuces exercices corrigées ) by 15 Min Math Lr 182,409 views 3 years ago 31 minutes"}},"simpleText":"Méthodes de Raisonnement : Part I1I Raisonnement Cas par Cas (Astuces exercices corrigées )"},"longBylineText":{"runs":[{"text":"15 Min Math Lr","navigationEndpoint":{"clickTrackingParams":"CKMBEKQwGAMiEwjahcXY1e6LAxWd5EIFHTEbA3kyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@15MinMathLr","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC0BdvB3lRLsO0sQlHGiHUDA","canonicalBaseUrl":"/@15MinMathLr"}}}]},"publishedTimeText":{"simpleText":"3 years ago"},"viewCountText":{"simpleText":"182,409 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"31 minutes, 23 seconds"}},"simpleText":"31:23"},"navigationEndpoint":{"clickTrackingParams":"CKMBEKQwGAMiEwjahcXY1e6LAxWd5EIFHTEbA3kyB3JlbGF0ZWRI4YSaovOtz8joAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=-GOmF9pbZug","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"-GOmF9pbZug","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---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=f863a617da5b66e8 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1262500 mt=1741030389 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"15 Min Math Lr","navigationEndpoint":{"clickTrackingParams":"CKMBEKQwGAMiEwjahcXY1e6LAxWd5EIFHTEbA3kyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@15MinMathLr","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC0BdvB3lRLsO0sQlHGiHUDA","canonicalBaseUrl":"/@15MinMathLr"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/gmPLyJGgJf2REwFmJ3hsXjgwso3wcICIoR1MuCkf7oYled8FY08wAJfb00CBOfL9LVepNuJaCg=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CKMBEKQwGAMiEwjahcXY1e6LAxWd5EIFHTEbA3lA6M3t0v3C6bH4AQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"182K views"}},"simpleText":"182K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CKgBEP6YBBgGIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKgBEP6YBBgGIhMI2oXF2NXuiwMVneRCBR0xGwN5","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"-GOmF9pbZug","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKgBEP6YBBgGIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["-GOmF9pbZug"],"params":"CAQ%3D"}},"videoIds":["-GOmF9pbZug"]}},{"clickTrackingParams":"CKgBEP6YBBgGIhMI2oXF2NXuiwMVneRCBR0xGwN5","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CKkBELlqIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},"popupType":"TOAST"}}]}},"trackingParams":"CKgBEP6YBBgGIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CKcBENGqBRgHIhMI2oXF2NXuiwMVneRCBR0xGwN5","offlineVideoEndpoint":{"videoId":"-GOmF9pbZug","onAddCommand":{"clickTrackingParams":"CKcBENGqBRgHIhMI2oXF2NXuiwMVneRCBR0xGwN5","getDownloadActionCommand":{"videoId":"-GOmF9pbZug","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CKcBENGqBRgHIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CKMBEKQwGAMiEwjahcXY1e6LAxWd5EIFHTEbA3k=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgstR09tRjlwYlp1Zw%3D%3D","commands":[{"clickTrackingParams":"CKMBEKQwGAMiEwjahcXY1e6LAxWd5EIFHTEbA3k=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CKYBEI5iIhMI2oXF2NXuiwMVneRCBR0xGwN5","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CKMBEKQwGAMiEwjahcXY1e6LAxWd5EIFHTEbA3k=","hasSeparator":true}}],"trackingParams":"CKMBEKQwGAMiEwjahcXY1e6LAxWd5EIFHTEbA3k=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"31 minutes, 23 seconds"}},"simpleText":"31:23"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKUBEPnnAxgBIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"-GOmF9pbZug","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CKUBEPnnAxgBIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"-GOmF9pbZug"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKUBEPnnAxgBIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKQBEMfsBBgCIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKQBEMfsBBgCIhMI2oXF2NXuiwMVneRCBR0xGwN5","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"-GOmF9pbZug","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKQBEMfsBBgCIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["-GOmF9pbZug"],"params":"CAQ%3D"}},"videoIds":["-GOmF9pbZug"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKQBEMfsBBgCIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Méthodes de Raisonnement : Part I1I Raisonnement Cas par Cas (Astuces exercices corrigées ) - 31 minutes - Go to channel - 15 Min Math Lr - 182K views - 3 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/-GOmF9pbZug/mqdefault_6s.webp?du=3000 sqp=CMDzl74G rs=AOn4CLBjT3Ef_pyaTbwSG_nRjEJzbu68rQ","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"s-KNzRmaP_k","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/s-KNzRmaP_k/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLBhNf5itETF_K0mQLC6A6HyaDvt_g","width":168,"height":94},{"url":"https://i.ytimg.com/vi/s-KNzRmaP_k/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLBaRMWW3bQzfN3VPErluE4LmDE6tQ","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Logique et théorie des ensembles S1 : Introduction à la logique mathématique : partie 1 by exo maroc 347,265 views 4 years ago 44 minutes"}},"simpleText":"Logique et théorie des ensembles S1 : Introduction à la logique mathématique : partie 1"},"longBylineText":{"runs":[{"text":"exo maroc","navigationEndpoint":{"clickTrackingParams":"CJwBEKQwGAQiEwjahcXY1e6LAxWd5EIFHTEbA3kyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@exomaroc","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCXJAAONO4BAW9HKzSEqw4PQ","canonicalBaseUrl":"/@exomaroc"}}}]},"publishedTimeText":{"simpleText":"4 years ago"},"viewCountText":{"simpleText":"347,265 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"44 minutes, 56 seconds"}},"simpleText":"44:56"},"navigationEndpoint":{"clickTrackingParams":"CJwBEKQwGAQiEwjahcXY1e6LAxWd5EIFHTEbA3kyB3JlbGF0ZWRI4YSaovOtz8joAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=s-KNzRmaP_k","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"s-KNzRmaP_k","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-nvm-cxb6.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=b3e28dcd199a3ff9 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=886250 mt=1741030389 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"exo maroc","navigationEndpoint":{"clickTrackingParams":"CJwBEKQwGAQiEwjahcXY1e6LAxWd5EIFHTEbA3kyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@exomaroc","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCXJAAONO4BAW9HKzSEqw4PQ","canonicalBaseUrl":"/@exomaroc"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_liDl0VKxvsLs85g43_v-bse7hHKzPUMgJgRlWa91_zkrw=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":"CJwBEKQwGAQiEwjahcXY1e6LAxWd5EIFHTEbA3k=","accessibilityData":{"label":"Verified"}}}],"trackingParams":"CJwBEKQwGAQiEwjahcXY1e6LAxWd5EIFHTEbA3lA-f_ozNG5o_GzAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"347K views"}},"simpleText":"347K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CKEBEP6YBBgHIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKEBEP6YBBgHIhMI2oXF2NXuiwMVneRCBR0xGwN5","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"s-KNzRmaP_k","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKEBEP6YBBgHIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["s-KNzRmaP_k"],"params":"CAQ%3D"}},"videoIds":["s-KNzRmaP_k"]}},{"clickTrackingParams":"CKEBEP6YBBgHIhMI2oXF2NXuiwMVneRCBR0xGwN5","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CKIBELlqIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},"popupType":"TOAST"}}]}},"trackingParams":"CKEBEP6YBBgHIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CKABENGqBRgIIhMI2oXF2NXuiwMVneRCBR0xGwN5","offlineVideoEndpoint":{"videoId":"s-KNzRmaP_k","onAddCommand":{"clickTrackingParams":"CKABENGqBRgIIhMI2oXF2NXuiwMVneRCBR0xGwN5","getDownloadActionCommand":{"videoId":"s-KNzRmaP_k","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CKABENGqBRgIIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CJwBEKQwGAQiEwjahcXY1e6LAxWd5EIFHTEbA3k=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtzLUtOelJtYVBfaw%3D%3D","commands":[{"clickTrackingParams":"CJwBEKQwGAQiEwjahcXY1e6LAxWd5EIFHTEbA3k=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CJ8BEI5iIhMI2oXF2NXuiwMVneRCBR0xGwN5","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CJwBEKQwGAQiEwjahcXY1e6LAxWd5EIFHTEbA3k=","hasSeparator":true}}],"trackingParams":"CJwBEKQwGAQiEwjahcXY1e6LAxWd5EIFHTEbA3k=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"44 minutes, 56 seconds"}},"simpleText":"44:56"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CJ4BEPnnAxgCIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"s-KNzRmaP_k","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CJ4BEPnnAxgCIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"s-KNzRmaP_k"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CJ4BEPnnAxgCIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CJ0BEMfsBBgDIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CJ0BEMfsBBgDIhMI2oXF2NXuiwMVneRCBR0xGwN5","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"s-KNzRmaP_k","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CJ0BEMfsBBgDIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["s-KNzRmaP_k"],"params":"CAQ%3D"}},"videoIds":["s-KNzRmaP_k"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CJ0BEMfsBBgDIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Logique et théorie des ensembles S1 : Introduction à la logique mathématique : partie 1 - 44 minutes - Go to channel - exo maroc - 347K views - 4 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/s-KNzRmaP_k/mqdefault_6s.webp?du=3000 sqp=CJjJl74G rs=AOn4CLDuDHOCXFvbvPqGimXr76DyFuNqdQ","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"oo-GZpcSmHY","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/oo-GZpcSmHY/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLAIZtpGZTkSYUhM8Hg-aVLsKxVM-A","width":168,"height":94},{"url":"https://i.ytimg.com/vi/oo-GZpcSmHY/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLDdpzzOSpk4j61XXlt8xb10nHIdHQ","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Terminale Logarithme népérien : inEquations : Exercice 12 : lnux = lnvx Partie 2 by Maths 2SPI ( M2SPI) 38 views 10 days ago 6 minutes, 49 seconds"}},"simpleText":"Terminale Logarithme népérien : inEquations : Exercice 12 : lnux = lnvx Partie 2"},"longBylineText":{"runs":[{"text":"Maths 2SPI ( M2SPI)","navigationEndpoint":{"clickTrackingParams":"CJUBEKQwGAUiEwjahcXY1e6LAxWd5EIFHTEbA3kyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@M2SPI","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCaEO9CkIxB_SUANORil7ozg","canonicalBaseUrl":"/@M2SPI"}}}]},"publishedTimeText":{"simpleText":"10 days ago"},"viewCountText":{"simpleText":"38 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"6 minutes, 49 seconds"}},"simpleText":"6:49"},"navigationEndpoint":{"clickTrackingParams":"CJUBEKQwGAUiEwjahcXY1e6LAxWd5EIFHTEbA3kyB3JlbGF0ZWRI4YSaovOtz8joAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=oo-GZpcSmHY","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"oo-GZpcSmHY","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---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=a28f866697129876 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1262500 mt=1741030389 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Maths 2SPI ( M2SPI)","navigationEndpoint":{"clickTrackingParams":"CJUBEKQwGAUiEwjahcXY1e6LAxWd5EIFHTEbA3kyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@M2SPI","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCaEO9CkIxB_SUANORil7ozg","canonicalBaseUrl":"/@M2SPI"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/8BP9Kwv3rFTRLPxK7PvocDCoUu0VVQIdgzdvGDh3ilno6yELkXb_pbXqGwc1zFTepAhAc8oG=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CJUBEKQwGAUiEwjahcXY1e6LAxWd5EIFHTEbA3lA9rDKuOnM4ceiAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"38 views"}},"simpleText":"38 views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CJoBEP6YBBgFIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CJoBEP6YBBgFIhMI2oXF2NXuiwMVneRCBR0xGwN5","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"oo-GZpcSmHY","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CJoBEP6YBBgFIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["oo-GZpcSmHY"],"params":"CAQ%3D"}},"videoIds":["oo-GZpcSmHY"]}},{"clickTrackingParams":"CJoBEP6YBBgFIhMI2oXF2NXuiwMVneRCBR0xGwN5","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CJsBELlqIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},"popupType":"TOAST"}}]}},"trackingParams":"CJoBEP6YBBgFIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CJkBENGqBRgGIhMI2oXF2NXuiwMVneRCBR0xGwN5","offlineVideoEndpoint":{"videoId":"oo-GZpcSmHY","onAddCommand":{"clickTrackingParams":"CJkBENGqBRgGIhMI2oXF2NXuiwMVneRCBR0xGwN5","getDownloadActionCommand":{"videoId":"oo-GZpcSmHY","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CJkBENGqBRgGIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CJUBEKQwGAUiEwjahcXY1e6LAxWd5EIFHTEbA3k=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgtvby1HWnBjU21IWQ%3D%3D","commands":[{"clickTrackingParams":"CJUBEKQwGAUiEwjahcXY1e6LAxWd5EIFHTEbA3k=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CJgBEI5iIhMI2oXF2NXuiwMVneRCBR0xGwN5","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CJUBEKQwGAUiEwjahcXY1e6LAxWd5EIFHTEbA3k=","hasSeparator":true}}],"trackingParams":"CJUBEKQwGAUiEwjahcXY1e6LAxWd5EIFHTEbA3k=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"6 minutes, 49 seconds"}},"simpleText":"6:49"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CJcBEPnnAxgBIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"oo-GZpcSmHY","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CJcBEPnnAxgBIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"oo-GZpcSmHY"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CJcBEPnnAxgBIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CJYBEMfsBBgCIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CJYBEMfsBBgCIhMI2oXF2NXuiwMVneRCBR0xGwN5","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"oo-GZpcSmHY","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CJYBEMfsBBgCIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["oo-GZpcSmHY"],"params":"CAQ%3D"}},"videoIds":["oo-GZpcSmHY"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CJYBEMfsBBgCIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Terminale Logarithme népérien : inEquations : Exercice 12 : lnux = lnvx Partie 2 - 6 minutes, 49 seconds - Go to channel - Maths 2SPI ( M2SPI) - 38 views - 10 days ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"FHriYEb9I1k","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/FHriYEb9I1k/hqdefault.jpg?sqp=-oaymwE1CKgBEF5IVfKriqkDKAgBFQAAiEIYAXABwAEG8AEB-AH-CYAC0AWKAgwIABABGEEgZShZMA8= rs=AOn4CLBfUN0T-K6NJwFZoV4LEVOcAXehIQ","width":168,"height":94},{"url":"https://i.ytimg.com/vi/FHriYEb9I1k/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gmAAtAFigIMCAAQARhBIGUoWTAP rs=AOn4CLC-TZi_yo8sXjnJnyY4ZMiY5Y-3uQ","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Cours Raisonnements, Ensembles, Applications. Cours maths sup, prépa HEC, BCPST by Optimal Sup-Spé - Groupe IPESUP 386,892 views 9 years ago 36 minutes"}},"simpleText":"Cours Raisonnements, Ensembles, Applications. Cours maths sup, prépa HEC, BCPST"},"longBylineText":{"runs":[{"text":"Optimal Sup-Spé - Groupe IPESUP","navigationEndpoint":{"clickTrackingParams":"CI4BEKQwGAYiEwjahcXY1e6LAxWd5EIFHTEbA3kyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/c/OptimalsupspeFr_LeNo1EnSupSp%C3%A9","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC5mRzz6QWQCAYa9wcfR2c-g","canonicalBaseUrl":"/c/OptimalsupspeFr_LeNo1EnSupSp%C3%A9"}}}]},"publishedTimeText":{"simpleText":"9 years ago"},"viewCountText":{"simpleText":"386,892 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"36 minutes, 48 seconds"}},"simpleText":"36:48"},"navigationEndpoint":{"clickTrackingParams":"CI4BEKQwGAYiEwjahcXY1e6LAxWd5EIFHTEbA3kyB3JlbGF0ZWRI4YSaovOtz8joAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=FHriYEb9I1k","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"FHriYEb9I1k","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=147ae26046fd2359 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1262500 mt=1741030389 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Optimal Sup-Spé - Groupe IPESUP","navigationEndpoint":{"clickTrackingParams":"CI4BEKQwGAYiEwjahcXY1e6LAxWd5EIFHTEbA3kyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/c/OptimalsupspeFr_LeNo1EnSupSp%C3%A9","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC5mRzz6QWQCAYa9wcfR2c-g","canonicalBaseUrl":"/c/OptimalsupspeFr_LeNo1EnSupSp%C3%A9"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_lbYFcL_AX3Oa5CkVrFFNBLs8Xf7FuundFqlKsx-VR6L4Q=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CI4BEKQwGAYiEwjahcXY1e6LAxWd5EIFHTEbA3lA2cb0t4TMuL0U","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"386K views"}},"simpleText":"386K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CJMBEP6YBBgGIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CJMBEP6YBBgGIhMI2oXF2NXuiwMVneRCBR0xGwN5","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"FHriYEb9I1k","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CJMBEP6YBBgGIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["FHriYEb9I1k"],"params":"CAQ%3D"}},"videoIds":["FHriYEb9I1k"]}},{"clickTrackingParams":"CJMBEP6YBBgGIhMI2oXF2NXuiwMVneRCBR0xGwN5","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CJQBELlqIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},"popupType":"TOAST"}}]}},"trackingParams":"CJMBEP6YBBgGIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CJIBENGqBRgHIhMI2oXF2NXuiwMVneRCBR0xGwN5","offlineVideoEndpoint":{"videoId":"FHriYEb9I1k","onAddCommand":{"clickTrackingParams":"CJIBENGqBRgHIhMI2oXF2NXuiwMVneRCBR0xGwN5","getDownloadActionCommand":{"videoId":"FHriYEb9I1k","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CJIBENGqBRgHIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CI4BEKQwGAYiEwjahcXY1e6LAxWd5EIFHTEbA3k=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtGSHJpWUViOUkxaw%3D%3D","commands":[{"clickTrackingParams":"CI4BEKQwGAYiEwjahcXY1e6LAxWd5EIFHTEbA3k=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CJEBEI5iIhMI2oXF2NXuiwMVneRCBR0xGwN5","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CI4BEKQwGAYiEwjahcXY1e6LAxWd5EIFHTEbA3k=","hasSeparator":true}}],"trackingParams":"CI4BEKQwGAYiEwjahcXY1e6LAxWd5EIFHTEbA3k=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"36 minutes, 48 seconds"}},"simpleText":"36:48"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CJABEPnnAxgBIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"FHriYEb9I1k","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CJABEPnnAxgBIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"FHriYEb9I1k"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CJABEPnnAxgBIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CI8BEMfsBBgCIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CI8BEMfsBBgCIhMI2oXF2NXuiwMVneRCBR0xGwN5","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"FHriYEb9I1k","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CI8BEMfsBBgCIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["FHriYEb9I1k"],"params":"CAQ%3D"}},"videoIds":["FHriYEb9I1k"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CI8BEMfsBBgCIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Cours Raisonnements, Ensembles, Applications. Cours maths sup, prépa HEC, BCPST - 36 minutes - Go to channel - Optimal Sup-Spé - Groupe IPESUP - 386K views - 9 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/FHriYEb9I1k/mqdefault_6s.webp?du=3000 sqp=COnFl74G rs=AOn4CLBFQFTbaSXTEvt1UQZVA3JEmze7YA","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"ifBnwmiZujc","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/ifBnwmiZujc/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLBgJaBik16cqvcopwLfLXo1hkIjEA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/ifBnwmiZujc/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLA5hYXer3Q6qH6XLShuh8phCypEfQ","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Raisonnement par récurrence, exercice (Notions de LOGIQUE) by MATHS Preparation 279,288 views 4 years ago 14 minutes, 31 seconds"}},"simpleText":"Raisonnement par récurrence, exercice (Notions de LOGIQUE)"},"longBylineText":{"runs":[{"text":"MATHS Preparation","navigationEndpoint":{"clickTrackingParams":"CIcBEKQwGAciEwjahcXY1e6LAxWd5EIFHTEbA3kyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@MATHSPreparations2090","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC2neeortADgjENAfIzhEq1A","canonicalBaseUrl":"/@MATHSPreparations2090"}}}]},"publishedTimeText":{"simpleText":"4 years ago"},"viewCountText":{"simpleText":"279,288 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"14 minutes, 31 seconds"}},"simpleText":"14:31"},"navigationEndpoint":{"clickTrackingParams":"CIcBEKQwGAciEwjahcXY1e6LAxWd5EIFHTEbA3kyB3JlbGF0ZWRI4YSaovOtz8joAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=ifBnwmiZujc","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"ifBnwmiZujc","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-nvm-cxb6.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=89f067c26899ba37 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=886250 mt=1741030389 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"MATHS Preparation","navigationEndpoint":{"clickTrackingParams":"CIcBEKQwGAciEwjahcXY1e6LAxWd5EIFHTEbA3kyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@MATHSPreparations2090","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC2neeortADgjENAfIzhEq1A","canonicalBaseUrl":"/@MATHSPreparations2090"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_k7WgQhHIdnIEKaMQ4J0CtKHFvq5dbed_zPZEKlphVSJQ=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CIcBEKQwGAciEwjahcXY1e6LAxWd5EIFHTEbA3lAt_TmxKb4mfiJAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"279K views"}},"simpleText":"279K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CIwBEP6YBBgGIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CIwBEP6YBBgGIhMI2oXF2NXuiwMVneRCBR0xGwN5","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"ifBnwmiZujc","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CIwBEP6YBBgGIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["ifBnwmiZujc"],"params":"CAQ%3D"}},"videoIds":["ifBnwmiZujc"]}},{"clickTrackingParams":"CIwBEP6YBBgGIhMI2oXF2NXuiwMVneRCBR0xGwN5","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CI0BELlqIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},"popupType":"TOAST"}}]}},"trackingParams":"CIwBEP6YBBgGIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CIsBENGqBRgHIhMI2oXF2NXuiwMVneRCBR0xGwN5","offlineVideoEndpoint":{"videoId":"ifBnwmiZujc","onAddCommand":{"clickTrackingParams":"CIsBENGqBRgHIhMI2oXF2NXuiwMVneRCBR0xGwN5","getDownloadActionCommand":{"videoId":"ifBnwmiZujc","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CIsBENGqBRgHIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CIcBEKQwGAciEwjahcXY1e6LAxWd5EIFHTEbA3k=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtpZkJud21pWnVqYw%3D%3D","commands":[{"clickTrackingParams":"CIcBEKQwGAciEwjahcXY1e6LAxWd5EIFHTEbA3k=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CIoBEI5iIhMI2oXF2NXuiwMVneRCBR0xGwN5","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CIcBEKQwGAciEwjahcXY1e6LAxWd5EIFHTEbA3k=","hasSeparator":true}}],"trackingParams":"CIcBEKQwGAciEwjahcXY1e6LAxWd5EIFHTEbA3k=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"14 minutes, 31 seconds"}},"simpleText":"14:31"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CIkBEPnnAxgBIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"ifBnwmiZujc","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CIkBEPnnAxgBIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"ifBnwmiZujc"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CIkBEPnnAxgBIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CIgBEMfsBBgCIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CIgBEMfsBBgCIhMI2oXF2NXuiwMVneRCBR0xGwN5","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"ifBnwmiZujc","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CIgBEMfsBBgCIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["ifBnwmiZujc"],"params":"CAQ%3D"}},"videoIds":["ifBnwmiZujc"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CIgBEMfsBBgCIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Raisonnement par récurrence, exercice (Notions de LOGIQUE) - 14 minutes, 31 seconds - Go to channel - MATHS Preparation - 279K views - 4 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/ifBnwmiZujc/mqdefault_6s.webp?du=3000 sqp=CJjdl74G rs=AOn4CLAe7QYONmNIDqd4CmmEn4FPCBi97g","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"-qNpS8zTgzk","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/-qNpS8zTgzk/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLDZTpzUJZjQjLf8pgfxPTCjnmjobQ","width":168,"height":94},{"url":"https://i.ytimg.com/vi/-qNpS8zTgzk/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLDnmZiEWjz3Tma4pAN7Hzjgh32_2w","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Logique et théorie des ensembles S1 : logique les quantificateurs : partie 2 by exo maroc 135,019 views 4 years ago 23 minutes"}},"simpleText":"Logique et théorie des ensembles S1 : logique les quantificateurs : partie 2"},"longBylineText":{"runs":[{"text":"exo maroc","navigationEndpoint":{"clickTrackingParams":"CIABEKQwGAgiEwjahcXY1e6LAxWd5EIFHTEbA3kyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@exomaroc","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCXJAAONO4BAW9HKzSEqw4PQ","canonicalBaseUrl":"/@exomaroc"}}}]},"publishedTimeText":{"simpleText":"4 years ago"},"viewCountText":{"simpleText":"135,019 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"23 minutes, 51 seconds"}},"simpleText":"23:51"},"navigationEndpoint":{"clickTrackingParams":"CIABEKQwGAgiEwjahcXY1e6LAxWd5EIFHTEbA3kyB3JlbGF0ZWRI4YSaovOtz8joAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=-qNpS8zTgzk","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"-qNpS8zTgzk","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---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=faa3694bccd38339 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1262500 mt=1741030389 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"exo maroc","navigationEndpoint":{"clickTrackingParams":"CIABEKQwGAgiEwjahcXY1e6LAxWd5EIFHTEbA3kyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@exomaroc","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCXJAAONO4BAW9HKzSEqw4PQ","canonicalBaseUrl":"/@exomaroc"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_liDl0VKxvsLs85g43_v-bse7hHKzPUMgJgRlWa91_zkrw=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":"CIABEKQwGAgiEwjahcXY1e6LAxWd5EIFHTEbA3k=","accessibilityData":{"label":"Verified"}}}],"trackingParams":"CIABEKQwGAgiEwjahcXY1e6LAxWd5EIFHTEbA3lAuYbO5ryp2tH6AQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"135K views"}},"simpleText":"135K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CIUBEP6YBBgHIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CIUBEP6YBBgHIhMI2oXF2NXuiwMVneRCBR0xGwN5","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"-qNpS8zTgzk","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CIUBEP6YBBgHIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["-qNpS8zTgzk"],"params":"CAQ%3D"}},"videoIds":["-qNpS8zTgzk"]}},{"clickTrackingParams":"CIUBEP6YBBgHIhMI2oXF2NXuiwMVneRCBR0xGwN5","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CIYBELlqIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},"popupType":"TOAST"}}]}},"trackingParams":"CIUBEP6YBBgHIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CIQBENGqBRgIIhMI2oXF2NXuiwMVneRCBR0xGwN5","offlineVideoEndpoint":{"videoId":"-qNpS8zTgzk","onAddCommand":{"clickTrackingParams":"CIQBENGqBRgIIhMI2oXF2NXuiwMVneRCBR0xGwN5","getDownloadActionCommand":{"videoId":"-qNpS8zTgzk","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CIQBENGqBRgIIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CIABEKQwGAgiEwjahcXY1e6LAxWd5EIFHTEbA3k=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgstcU5wUzh6VGd6aw%3D%3D","commands":[{"clickTrackingParams":"CIABEKQwGAgiEwjahcXY1e6LAxWd5EIFHTEbA3k=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CIMBEI5iIhMI2oXF2NXuiwMVneRCBR0xGwN5","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CIABEKQwGAgiEwjahcXY1e6LAxWd5EIFHTEbA3k=","hasSeparator":true}}],"trackingParams":"CIABEKQwGAgiEwjahcXY1e6LAxWd5EIFHTEbA3k=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"23 minutes, 51 seconds"}},"simpleText":"23:51"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CIIBEPnnAxgCIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"-qNpS8zTgzk","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CIIBEPnnAxgCIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"-qNpS8zTgzk"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CIIBEPnnAxgCIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CIEBEMfsBBgDIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CIEBEMfsBBgDIhMI2oXF2NXuiwMVneRCBR0xGwN5","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"-qNpS8zTgzk","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CIEBEMfsBBgDIhMI2oXF2NXuiwMVneRCBR0xGwN5","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["-qNpS8zTgzk"],"params":"CAQ%3D"}},"videoIds":["-qNpS8zTgzk"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CIEBEMfsBBgDIhMI2oXF2NXuiwMVneRCBR0xGwN5"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Logique et théorie des ensembles S1 : logique les quantificateurs : partie 2 - 23 minutes - Go to channel - exo maroc - 135K views - 4 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/-qNpS8zTgzk/mqdefault_6s.webp?du=3000 sqp=CJnql74G rs=AOn4CLCLwNxOC72cGnFIdbP7_BlOlcA0Jg","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/s-KNzRmaP_k/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLAIg1dX7QVKC-xcqBuGLx85eTmMow","width":168,"height":94},{"url":"https://i.ytimg.com/vi/s-KNzRmaP_k/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLBWCQJSYhmtM9NeB94hB8IYZjXtvQ","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"7 videos","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":3355443,"darkTheme":3355443}}}],"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":4144959,"darkTheme":4144959}}},"stackColor":{"lightTheme":10066329,"darkTheme":9211020}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Logique S1 (algébre 1)"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"exo maroc
#############################
