TAMIL MATHEMATICAL INDUCTION PROBLEM 3
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=5oKWBrA084Q
DISCRETE MATHEMATICS TUTOR VIDEO","styleRuns":[{"startIndex":0,"length":32,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":32,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CK0BELsvGAIiEwjX1dyLpeuLAxXEDXMJHZlzA98=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SCzVvS1dCckEwODRRGAYyJSIRIgs1b0tXQnJBMDg0UTAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CK0BELsvGAIiEwjX1dyLpeuLAxXEDXMJHZlzA98=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CKwBELovIhMI19Xci6XriwMVxA1zCR2ZcwPf"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"4_5Tp4k51vk","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/4_5Tp4k51vk/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLA0ORlZuGyYI4_5a6hOg639jylaWw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/4_5Tp4k51vk/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLCCXPR2eYM2mHNbXFy9dHrpDTn2aw","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"(TAMIL) MATHEMATICAL INDUCTION PROBLEM 4 by ENGINEERING MATHS TUTOR TAMIL 3,681 views 6 years ago 4 minutes, 13 seconds"}},"simpleText":"(TAMIL) MATHEMATICAL INDUCTION PROBLEM 4"},"longBylineText":{"runs":[{"text":"ENGINEERING MATHS TUTOR TAMIL","navigationEndpoint":{"clickTrackingParams":"CKYBEKQwGAAiEwjX1dyLpeuLAxXEDXMJHZlzA98yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@engineeringmathstutortamil1674","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC8oMUFcwAPoaPSiX1yyFQjQ","canonicalBaseUrl":"/@engineeringmathstutortamil1674"}}}]},"publishedTimeText":{"simpleText":"6 years ago"},"viewCountText":{"simpleText":"3,681 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"4 minutes, 13 seconds"}},"simpleText":"4:13"},"navigationEndpoint":{"clickTrackingParams":"CKYBEKQwGAAiEwjX1dyLpeuLAxXEDXMJHZlzA98yB3JlbGF0ZWRIhOfTgevApcHmAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=4_5Tp4k51vk","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"4_5Tp4k51vk","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=e3fe53a78939d6f9 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1415000 mt=1740914463 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"ENGINEERING MATHS TUTOR TAMIL","navigationEndpoint":{"clickTrackingParams":"CKYBEKQwGAAiEwjX1dyLpeuLAxXEDXMJHZlzA98yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@engineeringmathstutortamil1674","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC8oMUFcwAPoaPSiX1yyFQjQ","canonicalBaseUrl":"/@engineeringmathstutortamil1674"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_nUlMyAZ7j9Yu8ebbtDZDdRtW7RJmhndcvy0n-EX2JyVQ=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CKYBEKQwGAAiEwjX1dyLpeuLAxXEDXMJHZlzA99A-a3nyfj0lP_jAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"3.6K views"}},"simpleText":"3.6K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CKoBEP6YBBgGIhMI19Xci6XriwMVxA1zCR2ZcwPf","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKoBEP6YBBgGIhMI19Xci6XriwMVxA1zCR2ZcwPf","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"4_5Tp4k51vk","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKoBEP6YBBgGIhMI19Xci6XriwMVxA1zCR2ZcwPf","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["4_5Tp4k51vk"],"params":"CAQ%3D"}},"videoIds":["4_5Tp4k51vk"]}},{"clickTrackingParams":"CKoBEP6YBBgGIhMI19Xci6XriwMVxA1zCR2ZcwPf","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CKsBELlqIhMI19Xci6XriwMVxA1zCR2ZcwPf"}},"popupType":"TOAST"}}]}},"trackingParams":"CKoBEP6YBBgGIhMI19Xci6XriwMVxA1zCR2ZcwPf"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CKYBEKQwGAAiEwjX1dyLpeuLAxXEDXMJHZlzA98=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgs0XzVUcDRrNTF2aw%3D%3D","commands":[{"clickTrackingParams":"CKYBEKQwGAAiEwjX1dyLpeuLAxXEDXMJHZlzA98=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CKkBEI5iIhMI19Xci6XriwMVxA1zCR2ZcwPf","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CKYBEKQwGAAiEwjX1dyLpeuLAxXEDXMJHZlzA98=","hasSeparator":true}}],"trackingParams":"CKYBEKQwGAAiEwjX1dyLpeuLAxXEDXMJHZlzA98=","accessibility":{"accessibilityData":{"label":"Action menu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"4 minutes, 13 seconds"}},"simpleText":"4:13"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKgBEPnnAxgBIhMI19Xci6XriwMVxA1zCR2ZcwPf","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"4_5Tp4k51vk","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CKgBEPnnAxgBIhMI19Xci6XriwMVxA1zCR2ZcwPf","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"4_5Tp4k51vk"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKgBEPnnAxgBIhMI19Xci6XriwMVxA1zCR2ZcwPf"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKcBEMfsBBgCIhMI19Xci6XriwMVxA1zCR2ZcwPf","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKcBEMfsBBgCIhMI19Xci6XriwMVxA1zCR2ZcwPf","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"4_5Tp4k51vk","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKcBEMfsBBgCIhMI19Xci6XriwMVxA1zCR2ZcwPf","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["4_5Tp4k51vk"],"params":"CAQ%3D"}},"videoIds":["4_5Tp4k51vk"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKcBEMfsBBgCIhMI19Xci6XriwMVxA1zCR2ZcwPf"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"(TAMIL) MATHEMATICAL INDUCTION PROBLEM 4 - 4 minutes, 13 seconds - Go to channel - ENGINEERING MATHS TUTOR TAMIL - 3.6K views - 6 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/4_5Tp4k51vk/mqdefault_6s.webp?du=3000 sqp=CMvjkL4G rs=AOn4CLDTJaTwCt1meYKQzj9SLME758THtQ","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"gON2duMruuY","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/gON2duMruuY/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLAjcCgKc4eiIzaSWCUgSWI7xWm8Ag","width":168,"height":94},{"url":"https://i.ytimg.com/vi/gON2duMruuY/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLD9GhCooCNkb-SxqEpW-8o8X7N23g","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Mathematical Induction in Tamil Discrete Mathematics in Tamil MA3354 Unit 2 Combinatorics by 4G Silver Academy родрооро┐ро┤рпН 125,943 views 1 year ago 4 minutes, 16 seconds"}},"simpleText":"Mathematical Induction in Tamil Discrete Mathematics in Tamil MA3354 Unit 2 Combinatorics"},"longBylineText":{"runs":[{"text":"4G Silver Academy родрооро┐ро┤рпН ","navigationEndpoint":{"clickTrackingParams":"CKABEKQwGAEiEwjX1dyLpeuLAxXEDXMJHZlzA98yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@4G_Silver_Academy_%E0%AE%A4%E0%AE%AE%E0%AE%BF%E0%AE%B4%E0%AF%8D","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCrx-FlNM6BWOJvu3re6HH7w","canonicalBaseUrl":"/@4G_Silver_Academy_%E0%AE%A4%E0%AE%AE%E0%AE%BF%E0%AE%B4%E0%AF%8D"}}}]},"publishedTimeText":{"simpleText":"1 year ago"},"viewCountText":{"simpleText":"125,943 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"4 minutes, 16 seconds"}},"simpleText":"4:16"},"navigationEndpoint":{"clickTrackingParams":"CKABEKQwGAEiEwjX1dyLpeuLAxXEDXMJHZlzA98yB3JlbGF0ZWRIhOfTgevApcHmAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=gON2duMruuY","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"gON2duMruuY","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=80e37676e32bbae6 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1127500 mt=1740914463 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"4G Silver Academy родрооро┐ро┤рпН ","navigationEndpoint":{"clickTrackingParams":"CKABEKQwGAEiEwjX1dyLpeuLAxXEDXMJHZlzA98yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@4G_Silver_Academy_%E0%AE%A4%E0%AE%AE%E0%AE%BF%E0%AE%B4%E0%AF%8D","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCrx-FlNM6BWOJvu3re6HH7w","canonicalBaseUrl":"/@4G_Silver_Academy_%E0%AE%A4%E0%AE%AE%E0%AE%BF%E0%AE%B4%E0%AF%8D"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/6Z3G2gnfmPGyVPPFfR0rnfV-MkAp3NmVoX4juqHVrqxui3Lr0_MycjLSklk04QGznqiyQHXZhg=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CKABEKQwGAEiEwjX1dyLpeuLAxXEDXMJHZlzA99A5vWume7O3fGAAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"125K views"}},"simpleText":"125K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CKQBEP6YBBgFIhMI19Xci6XriwMVxA1zCR2ZcwPf","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKQBEP6YBBgFIhMI19Xci6XriwMVxA1zCR2ZcwPf","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"gON2duMruuY","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKQBEP6YBBgFIhMI19Xci6XriwMVxA1zCR2ZcwPf","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["gON2duMruuY"],"params":"CAQ%3D"}},"videoIds":["gON2duMruuY"]}},{"clickTrackingParams":"CKQBEP6YBBgFIhMI19Xci6XriwMVxA1zCR2ZcwPf","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CKUBELlqIhMI19Xci6XriwMVxA1zCR2ZcwPf"}},"popupType":"TOAST"}}]}},"trackingParams":"CKQBEP6YBBgFIhMI19Xci6XriwMVxA1zCR2ZcwPf"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CKABEKQwGAEiEwjX1dyLpeuLAxXEDXMJHZlzA98=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtnT04yZHVNcnV1WQ%3D%3D","commands":[{"clickTrackingParams":"CKABEKQwGAEiEwjX1dyLpeuLAxXEDXMJHZlzA98=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CKMBEI5iIhMI19Xci6XriwMVxA1zCR2ZcwPf","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CKABEKQwGAEiEwjX1dyLpeuLAxXEDXMJHZlzA98=","hasSeparator":true}}],"trackingParams":"CKABEKQwGAEiEwjX1dyLpeuLAxXEDXMJHZlzA98=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"4 minutes, 16 seconds"}},"simpleText":"4:16"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKIBEPnnAxgBIhMI19Xci6XriwMVxA1zCR2ZcwPf","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"gON2duMruuY","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CKIBEPnnAxgBIhMI19Xci6XriwMVxA1zCR2ZcwPf","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"gON2duMruuY"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKIBEPnnAxgBIhMI19Xci6XriwMVxA1zCR2ZcwPf"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKEBEMfsBBgCIhMI19Xci6XriwMVxA1zCR2ZcwPf","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKEBEMfsBBgCIhMI19Xci6XriwMVxA1zCR2ZcwPf","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"gON2duMruuY","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKEBEMfsBBgCIhMI19Xci6XriwMVxA1zCR2ZcwPf","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["gON2duMruuY"],"params":"CAQ%3D"}},"videoIds":["gON2duMruuY"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKEBEMfsBBgCIhMI19Xci6XriwMVxA1zCR2ZcwPf"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Mathematical Induction in Tamil Discrete Mathematics in Tamil MA3354 Unit 2 Combinatorics - 4 minutes, 16 seconds - Go to channel - 4G Silver Academy родрооро┐ро┤рпН - 125K views - 1 year ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/GRNf__RHr0k/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLBxegpBb1FgKkb9a1mzr6un9aEwlg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/GRNf__RHr0k/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLB54vSNay_7rDIWrMVOAksr_c4oPw","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"33 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":"MA3354 DISCRETE MATHS, CSE, UNIT-1| in Tamil"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"ENGINEERING MATHEMATICS
#############################
