09 Predicate Logic and Quantifiers Discrete Mathematics PK Tutorials

>> DOWNLOAD LINK 🎞️ #1 <<

>> DOWNLOAD LINK 🎞️ #2 <<

>> COPY / PASTE LINK PLEASE 🎵 MP3 <<

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=CyFDbkKyB7s

Problems on predicates and quantifies are explained in this class.","styleRuns":[{"startIndex":0,"length":66,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":66,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CL4BELsvGAIiEwiPoK3RutmLAxWcQXoFHRY3MzE=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC0N5RkRia0t5QjdzGAYyJSIRIgtDeUZEYmtLeUI3czAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CL4BELsvGAIiEwiPoK3RutmLAxWcQXoFHRY3MzE=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CL0BELovIhMIj6Ct0brZiwMVnEF6BR0WNzMx"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"CQXfxbN1XeQ","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/CQXfxbN1XeQ/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLC0QM4MhwYM8ykBgqxpkNsXk7R7bg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/CQXfxbN1XeQ/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLBiPCPM1s7KleylnlT7tfFhwW-sog","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"DISCRETE MATHEMATICS - PREDICATES AND QUANTIFIERS - PROBLEMS - PART 2 by Gita's Classes 12,840 views 4 years ago 27 minutes"}},"simpleText":"DISCRETE MATHEMATICS - PREDICATES AND QUANTIFIERS - PROBLEMS - PART 2"},"longBylineText":{"runs":[{"text":"Gita's Classes","navigationEndpoint":{"clickTrackingParams":"CLYBEKQwGAAiEwiPoK3RutmLAxWcQXoFHRY3MzEyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@gitasclasses7750","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCKsXZgypJ8N1JOR3yRWlYtA","canonicalBaseUrl":"/@gitasclasses7750"}}}]},"publishedTimeText":{"simpleText":"4 years ago"},"viewCountText":{"simpleText":"12,840 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"27 minutes, 54 seconds"}},"simpleText":"27:54"},"navigationEndpoint":{"clickTrackingParams":"CLYBEKQwGAAiEwiPoK3RutmLAxWcQXoFHRY3MzEyB3JlbGF0ZWRIu4_IleTt0JALmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=CQXfxbN1XeQ","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"CQXfxbN1XeQ","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 onvi=1 id=0905dfc5b3755de4 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1316250 mt=1740301748 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Gita's Classes","navigationEndpoint":{"clickTrackingParams":"CLYBEKQwGAAiEwiPoK3RutmLAxWcQXoFHRY3MzEyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@gitasclasses7750","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCKsXZgypJ8N1JOR3yRWlYtA","canonicalBaseUrl":"/@gitasclasses7750"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_k5zUCU9YK9aLbkieX9s-iXIhE8CqZKC4_jsIcfA98gEg=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CLYBEKQwGAAiEwiPoK3RutmLAxWcQXoFHRY3MzFA5LvVm9v494IJ","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"12K views"}},"simpleText":"12K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLsBEP6YBBgFIhMIj6Ct0brZiwMVnEF6BR0WNzMx","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLsBEP6YBBgFIhMIj6Ct0brZiwMVnEF6BR0WNzMx","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"CQXfxbN1XeQ","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLsBEP6YBBgFIhMIj6Ct0brZiwMVnEF6BR0WNzMx","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["CQXfxbN1XeQ"],"params":"CAQ%3D"}},"videoIds":["CQXfxbN1XeQ"]}},{"clickTrackingParams":"CLsBEP6YBBgFIhMIj6Ct0brZiwMVnEF6BR0WNzMx","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CLwBELlqIhMIj6Ct0brZiwMVnEF6BR0WNzMx"}},"popupType":"TOAST"}}]}},"trackingParams":"CLsBEP6YBBgFIhMIj6Ct0brZiwMVnEF6BR0WNzMx"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CLoBENGqBRgGIhMIj6Ct0brZiwMVnEF6BR0WNzMx","offlineVideoEndpoint":{"videoId":"CQXfxbN1XeQ","onAddCommand":{"clickTrackingParams":"CLoBENGqBRgGIhMIj6Ct0brZiwMVnEF6BR0WNzMx","getDownloadActionCommand":{"videoId":"CQXfxbN1XeQ","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CLoBENGqBRgGIhMIj6Ct0brZiwMVnEF6BR0WNzMx"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CLYBEKQwGAAiEwiPoK3RutmLAxWcQXoFHRY3MzE=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtDUVhmeGJOMVhlUQ%3D%3D","commands":[{"clickTrackingParams":"CLYBEKQwGAAiEwiPoK3RutmLAxWcQXoFHRY3MzE=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLkBEI5iIhMIj6Ct0brZiwMVnEF6BR0WNzMx","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CLYBEKQwGAAiEwiPoK3RutmLAxWcQXoFHRY3MzE=","hasSeparator":true}}],"trackingParams":"CLYBEKQwGAAiEwiPoK3RutmLAxWcQXoFHRY3MzE=","accessibility":{"accessibilityData":{"label":"Action menu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"27 minutes, 54 seconds"}},"simpleText":"27:54"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLgBEPnnAxgBIhMIj6Ct0brZiwMVnEF6BR0WNzMx","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"CQXfxbN1XeQ","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLgBEPnnAxgBIhMIj6Ct0brZiwMVnEF6BR0WNzMx","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"CQXfxbN1XeQ"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLgBEPnnAxgBIhMIj6Ct0brZiwMVnEF6BR0WNzMx"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLcBEMfsBBgCIhMIj6Ct0brZiwMVnEF6BR0WNzMx","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLcBEMfsBBgCIhMIj6Ct0brZiwMVnEF6BR0WNzMx","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"CQXfxbN1XeQ","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLcBEMfsBBgCIhMIj6Ct0brZiwMVnEF6BR0WNzMx","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["CQXfxbN1XeQ"],"params":"CAQ%3D"}},"videoIds":["CQXfxbN1XeQ"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLcBEMfsBBgCIhMIj6Ct0brZiwMVnEF6BR0WNzMx"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"DISCRETE MATHEMATICS - PREDICATES AND QUANTIFIERS - PROBLEMS - PART 2 - 27 minutes - Go to channel - Gita's Classes - 12K views - 4 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"X0sGo7X2xHw","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/X0sGo7X2xHw/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLAhUcQUC5oQkSxI5OL_nW_Xrn824w","width":168,"height":94},{"url":"https://i.ytimg.com/vi/X0sGo7X2xHw/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLBuYIUIJ_6QNGlaPi_ywpj05_4x1Q","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"DISCRETE MATHEMATICS - PREDICATES AND QUANTIFIERS - PART 1 by Gita's Classes 61,668 views 4 years ago 26 minutes"}},"simpleText":"DISCRETE MATHEMATICS - PREDICATES AND QUANTIFIERS - PART 1"},"longBylineText":{"runs":[{"text":"Gita's Classes","navigationEndpoint":{"clickTrackingParams":"CK8BEKQwGAEiEwiPoK3RutmLAxWcQXoFHRY3MzEyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@gitasclasses7750","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCKsXZgypJ8N1JOR3yRWlYtA","canonicalBaseUrl":"/@gitasclasses7750"}}}]},"publishedTimeText":{"simpleText":"4 years ago"},"viewCountText":{"simpleText":"61,668 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"26 minutes, 54 seconds"}},"simpleText":"26:54"},"navigationEndpoint":{"clickTrackingParams":"CK8BEKQwGAEiEwiPoK3RutmLAxWcQXoFHRY3MzEyB3JlbGF0ZWRIu4_IleTt0JALmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=X0sGo7X2xHw","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"X0sGo7X2xHw","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---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 onvi=1 id=5f4b06a3b5f6c47c ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=6418750 mt=1740301748 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Gita's Classes","navigationEndpoint":{"clickTrackingParams":"CK8BEKQwGAEiEwiPoK3RutmLAxWcQXoFHRY3MzEyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@gitasclasses7750","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCKsXZgypJ8N1JOR3yRWlYtA","canonicalBaseUrl":"/@gitasclasses7750"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_k5zUCU9YK9aLbkieX9s-iXIhE8CqZKC4_jsIcfA98gEg=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CK8BEKQwGAEiEwiPoK3RutmLAxWcQXoFHRY3MzFA_Ijbr7vUwaVf","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"61K views"}},"simpleText":"61K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLQBEP6YBBgFIhMIj6Ct0brZiwMVnEF6BR0WNzMx","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLQBEP6YBBgFIhMIj6Ct0brZiwMVnEF6BR0WNzMx","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"X0sGo7X2xHw","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLQBEP6YBBgFIhMIj6Ct0brZiwMVnEF6BR0WNzMx","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["X0sGo7X2xHw"],"params":"CAQ%3D"}},"videoIds":["X0sGo7X2xHw"]}},{"clickTrackingParams":"CLQBEP6YBBgFIhMIj6Ct0brZiwMVnEF6BR0WNzMx","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CLUBELlqIhMIj6Ct0brZiwMVnEF6BR0WNzMx"}},"popupType":"TOAST"}}]}},"trackingParams":"CLQBEP6YBBgFIhMIj6Ct0brZiwMVnEF6BR0WNzMx"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CLMBENGqBRgGIhMIj6Ct0brZiwMVnEF6BR0WNzMx","offlineVideoEndpoint":{"videoId":"X0sGo7X2xHw","onAddCommand":{"clickTrackingParams":"CLMBENGqBRgGIhMIj6Ct0brZiwMVnEF6BR0WNzMx","getDownloadActionCommand":{"videoId":"X0sGo7X2xHw","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CLMBENGqBRgGIhMIj6Ct0brZiwMVnEF6BR0WNzMx"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CK8BEKQwGAEiEwiPoK3RutmLAxWcQXoFHRY3MzE=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtYMHNHbzdYMnhIdw%3D%3D","commands":[{"clickTrackingParams":"CK8BEKQwGAEiEwiPoK3RutmLAxWcQXoFHRY3MzE=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLIBEI5iIhMIj6Ct0brZiwMVnEF6BR0WNzMx","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CK8BEKQwGAEiEwiPoK3RutmLAxWcQXoFHRY3MzE=","hasSeparator":true}}],"trackingParams":"CK8BEKQwGAEiEwiPoK3RutmLAxWcQXoFHRY3MzE=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"26 minutes, 54 seconds"}},"simpleText":"26:54"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLEBEPnnAxgBIhMIj6Ct0brZiwMVnEF6BR0WNzMx","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"X0sGo7X2xHw","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLEBEPnnAxgBIhMIj6Ct0brZiwMVnEF6BR0WNzMx","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"X0sGo7X2xHw"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLEBEPnnAxgBIhMIj6Ct0brZiwMVnEF6BR0WNzMx"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLABEMfsBBgCIhMIj6Ct0brZiwMVnEF6BR0WNzMx","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLABEMfsBBgCIhMIj6Ct0brZiwMVnEF6BR0WNzMx","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"X0sGo7X2xHw","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLABEMfsBBgCIhMIj6Ct0brZiwMVnEF6BR0WNzMx","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["X0sGo7X2xHw"],"params":"CAQ%3D"}},"videoIds":["X0sGo7X2xHw"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLABEMfsBBgCIhMIj6Ct0brZiwMVnEF6BR0WNzMx"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"DISCRETE MATHEMATICS - PREDICATES AND QUANTIFIERS - PART 1 - 26 minutes - Go to channel - Gita's Classes - 61K views - 4 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"99qfz0B9rsc","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/99qfz0B9rsc/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLDDAd309xEPmxNlpmkg1ToROrY_1Q","width":168,"height":94},{"url":"https://i.ytimg.com/vi/99qfz0B9rsc/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLDyoLBQppjQZ6fDqVlfqnDCPhHD3g","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"DISCRETE MATHEMATICS - PREDICATES AND QUANTIFIERS - PART 2 by Gita's Classes 23,462 views 4 years ago 23 minutes"}},"simpleText":"DISCRETE MATHEMATICS - PREDICATES AND QUANTIFIERS - PART 2"},"longBylineText":{"runs":[{"text":"Gita's Classes","navigationEndpoint":{"clickTrackingParams":"CKgBEKQwGAIiEwiPoK3RutmLAxWcQXoFHRY3MzEyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@gitasclasses7750","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCKsXZgypJ8N1JOR3yRWlYtA","canonicalBaseUrl":"/@gitasclasses7750"}}}]},"publishedTimeText":{"simpleText":"4 years ago"},"viewCountText":{"simpleText":"23,462 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"23 minutes, 15 seconds"}},"simpleText":"23:15"},"navigationEndpoint":{"clickTrackingParams":"CKgBEKQwGAIiEwiPoK3RutmLAxWcQXoFHRY3MzEyB3JlbGF0ZWRIu4_IleTt0JALmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=99qfz0B9rsc","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"99qfz0B9rsc","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 onvi=1 id=f7da9fcf407daec7 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1316250 mt=1740301748 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Gita's Classes","navigationEndpoint":{"clickTrackingParams":"CKgBEKQwGAIiEwiPoK3RutmLAxWcQXoFHRY3MzEyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@gitasclasses7750","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCKsXZgypJ8N1JOR3yRWlYtA","canonicalBaseUrl":"/@gitasclasses7750"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_k5zUCU9YK9aLbkieX9s-iXIhE8CqZKC4_jsIcfA98gEg=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CKgBEKQwGAIiEwiPoK3RutmLAxWcQXoFHRY3MzFAx932g_T5p-33AQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"23K views"}},"simpleText":"23K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CK0BEP6YBBgFIhMIj6Ct0brZiwMVnEF6BR0WNzMx","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CK0BEP6YBBgFIhMIj6Ct0brZiwMVnEF6BR0WNzMx","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"99qfz0B9rsc","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CK0BEP6YBBgFIhMIj6Ct0brZiwMVnEF6BR0WNzMx","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["99qfz0B9rsc"],"params":"CAQ%3D"}},"videoIds":["99qfz0B9rsc"]}},{"clickTrackingParams":"CK0BEP6YBBgFIhMIj6Ct0brZiwMVnEF6BR0WNzMx","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CK4BELlqIhMIj6Ct0brZiwMVnEF6BR0WNzMx"}},"popupType":"TOAST"}}]}},"trackingParams":"CK0BEP6YBBgFIhMIj6Ct0brZiwMVnEF6BR0WNzMx"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CKwBENGqBRgGIhMIj6Ct0brZiwMVnEF6BR0WNzMx","offlineVideoEndpoint":{"videoId":"99qfz0B9rsc","onAddCommand":{"clickTrackingParams":"CKwBENGqBRgGIhMIj6Ct0brZiwMVnEF6BR0WNzMx","getDownloadActionCommand":{"videoId":"99qfz0B9rsc","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CKwBENGqBRgGIhMIj6Ct0brZiwMVnEF6BR0WNzMx"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CKgBEKQwGAIiEwiPoK3RutmLAxWcQXoFHRY3MzE=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgs5OXFmejBCOXJzYw%3D%3D","commands":[{"clickTrackingParams":"CKgBEKQwGAIiEwiPoK3RutmLAxWcQXoFHRY3MzE=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CKsBEI5iIhMIj6Ct0brZiwMVnEF6BR0WNzMx","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CKgBEKQwGAIiEwiPoK3RutmLAxWcQXoFHRY3MzE=","hasSeparator":true}}],"trackingParams":"CKgBEKQwGAIiEwiPoK3RutmLAxWcQXoFHRY3MzE=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"23 minutes, 15 seconds"}},"simpleText":"23:15"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKoBEPnnAxgBIhMIj6Ct0brZiwMVnEF6BR0WNzMx","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"99qfz0B9rsc","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CKoBEPnnAxgBIhMIj6Ct0brZiwMVnEF6BR0WNzMx","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"99qfz0B9rsc"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKoBEPnnAxgBIhMIj6Ct0brZiwMVnEF6BR0WNzMx"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKkBEMfsBBgCIhMIj6Ct0brZiwMVnEF6BR0WNzMx","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKkBEMfsBBgCIhMIj6Ct0brZiwMVnEF6BR0WNzMx","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"99qfz0B9rsc","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKkBEMfsBBgCIhMIj6Ct0brZiwMVnEF6BR0WNzMx","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["99qfz0B9rsc"],"params":"CAQ%3D"}},"videoIds":["99qfz0B9rsc"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKkBEMfsBBgCIhMIj6Ct0brZiwMVnEF6BR0WNzMx"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"DISCRETE MATHEMATICS - PREDICATES AND QUANTIFIERS - PART 2 - 23 minutes - Go to channel - Gita's Classes - 23K views - 4 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"o1hCsNN2Y_A","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/o1hCsNN2Y_A/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLDs7FlH642HoTLNzejyNpEJA5csyA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/o1hCsNN2Y_A/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLAEzZZrDxGJIfJEOcoCRItMFXBrLA","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Translation Using Quantifiers and Predicates by Michael Venn (BowTieMathGuy) 81,707 views 7 years ago 5 minutes, 28 seconds"}},"simpleText":"Translation Using Quantifiers and Predicates"},"longBylineText":{"runs":[{"text":"Michael Venn (BowTieMathGuy)","navigationEndpoint":{"clickTrackingParams":"CKEBEKQwGAMiEwiPoK3RutmLAxWcQXoFHRY3MzEyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@michaelvenn9541","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCdGgcZDF1pan-wAqRbyF3LQ","canonicalBaseUrl":"/@michaelvenn9541"}}}]},"publishedTimeText":{"simpleText":"7 years ago"},"viewCountText":{"simpleText":"81,707 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"5 minutes, 28 seconds"}},"simpleText":"5:28"},"navigationEndpoint":{"clickTrackingParams":"CKEBEKQwGAMiEwiPoK3RutmLAxWcQXoFHRY3MzEyB3JlbGF0ZWRIu4_IleTt0JALmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=o1hCsNN2Y_A","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"o1hCsNN2Y_A","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 onvi=1 id=a35842b0d37663f0 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1316250 mt=1740301748 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Michael Venn (BowTieMathGuy)","navigationEndpoint":{"clickTrackingParams":"CKEBEKQwGAMiEwiPoK3RutmLAxWcQXoFHRY3MzEyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@michaelvenn9541","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCdGgcZDF1pan-wAqRbyF3LQ","canonicalBaseUrl":"/@michaelvenn9541"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_kgNbHyLwqtDsbkK3CYuIt9AiQQ-iUVu0ED1koXQlk=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CKEBEKQwGAMiEwiPoK3RutmLAxWcQXoFHRY3MzFA8MfZm43WkKyjAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"81K views"}},"simpleText":"81K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CKYBEP6YBBgFIhMIj6Ct0brZiwMVnEF6BR0WNzMx","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKYBEP6YBBgFIhMIj6Ct0brZiwMVnEF6BR0WNzMx","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"o1hCsNN2Y_A","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKYBEP6YBBgFIhMIj6Ct0brZiwMVnEF6BR0WNzMx","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["o1hCsNN2Y_A"],"params":"CAQ%3D"}},"videoIds":["o1hCsNN2Y_A"]}},{"clickTrackingParams":"CKYBEP6YBBgFIhMIj6Ct0brZiwMVnEF6BR0WNzMx","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CKcBELlqIhMIj6Ct0brZiwMVnEF6BR0WNzMx"}},"popupType":"TOAST"}}]}},"trackingParams":"CKYBEP6YBBgFIhMIj6Ct0brZiwMVnEF6BR0WNzMx"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CKUBENGqBRgGIhMIj6Ct0brZiwMVnEF6BR0WNzMx","offlineVideoEndpoint":{"videoId":"o1hCsNN2Y_A","onAddCommand":{"clickTrackingParams":"CKUBENGqBRgGIhMIj6Ct0brZiwMVnEF6BR0WNzMx","getDownloadActionCommand":{"videoId":"o1hCsNN2Y_A","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CKUBENGqBRgGIhMIj6Ct0brZiwMVnEF6BR0WNzMx"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CKEBEKQwGAMiEwiPoK3RutmLAxWcQXoFHRY3MzE=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtvMWhDc05OMllfQQ%3D%3D","commands":[{"clickTrackingParams":"CKEBEKQwGAMiEwiPoK3RutmLAxWcQXoFHRY3MzE=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CKQBEI5iIhMIj6Ct0brZiwMVnEF6BR0WNzMx","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CKEBEKQwGAMiEwiPoK3RutmLAxWcQXoFHRY3MzE=","hasSeparator":true}}],"trackingParams":"CKEBEKQwGAMiEwiPoK3RutmLAxWcQXoFHRY3MzE=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"5 minutes, 28 seconds"}},"simpleText":"5:28"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKMBEPnnAxgBIhMIj6Ct0brZiwMVnEF6BR0WNzMx","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"o1hCsNN2Y_A","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CKMBEPnnAxgBIhMIj6Ct0brZiwMVnEF6BR0WNzMx","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"o1hCsNN2Y_A"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKMBEPnnAxgBIhMIj6Ct0brZiwMVnEF6BR0WNzMx"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKIBEMfsBBgCIhMIj6Ct0brZiwMVnEF6BR0WNzMx","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKIBEMfsBBgCIhMIj6Ct0brZiwMVnEF6BR0WNzMx","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"o1hCsNN2Y_A","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKIBEMfsBBgCIhMIj6Ct0brZiwMVnEF6BR0WNzMx","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["o1hCsNN2Y_A"],"params":"CAQ%3D"}},"videoIds":["o1hCsNN2Y_A"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKIBEMfsBBgCIhMIj6Ct0brZiwMVnEF6BR0WNzMx"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Translation Using Quantifiers and Predicates - 5 minutes, 28 seconds - Go to channel - Michael Venn (BowTieMathGuy) - 81K views - 7 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/O4Qf0SQKkZw/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLB8vZxSFREEgkhoUMFssyFwaLeLzA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/O4Qf0SQKkZw/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLBKzpIT8YyQVLcDyYeO0XR-J19ZXg","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"17 videos","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":2630686,"darkTheme":2630686}}}],"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":4143151,"darkTheme":4143151}}},"stackColor":{"lightTheme":12560525,"darkTheme":9668214}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"DISCRETE MATHEMATICS - UNIT 1 - LOGIC AND PROOFS"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Gita's Classes

#############################