{"pages":{"search":{"query":"매스프레소 MathPresso","originalQuery":"매스프레소 MathPresso","serpid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","parentReqid":"","serpItems":[{"id":"15694153133306338268-0-0","type":"videoSnippet","props":{"videoId":"15694153133306338268"},"curPage":0},{"id":"14545962534505143307-0-1","type":"videoSnippet","props":{"videoId":"14545962534505143307"},"curPage":0},{"id":"10684206998080027485-0-2","type":"videoSnippet","props":{"videoId":"10684206998080027485"},"curPage":0},{"id":"1691066587496647263-0-3","type":"videoSnippet","props":{"videoId":"1691066587496647263"},"curPage":0},{"id":"R-I-113683-5-0-4","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":4,"grab":"dOunpOyKpO2UhOugiOyGjCBNYXRoUHJlc3NvCg==","statId":4,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","ui":"desktop","yuid":"3292817931765482530"}}},"isAdult":false,"position":4,"placement":"empty"},"curPage":0},{"id":"8812528439828530180-0-5","type":"videoSnippet","props":{"videoId":"8812528439828530180"},"curPage":0},{"id":"3128861521483016750-0-6","type":"videoSnippet","props":{"videoId":"3128861521483016750"},"curPage":0},{"id":"9676607936792359296-0-7","type":"videoSnippet","props":{"videoId":"9676607936792359296"},"curPage":0},{"id":"7902693910520728535-0-8","type":"videoSnippet","props":{"videoId":"7902693910520728535"},"curPage":0},{"id":"4503824206691568868-0-9","type":"videoSnippet","props":{"videoId":"4503824206691568868"},"curPage":0},{"id":"6593252571166322355-0-10","type":"videoSnippet","props":{"videoId":"6593252571166322355"},"curPage":0},{"id":"R-I-113683-5-0-11","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":11,"grab":"dOunpOyKpO2UhOugiOyGjCBNYXRoUHJlc3NvCg==","statId":11,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","ui":"desktop","yuid":"3292817931765482530"}}},"isAdult":false,"position":11,"placement":"empty"},"curPage":0},{"id":"644562018528920357-0-12","type":"videoSnippet","props":{"videoId":"644562018528920357"},"curPage":0},{"id":"8395011945716820038-0-13","type":"videoSnippet","props":{"videoId":"8395011945716820038"},"curPage":0},{"id":"12437231626996307033-0-14","type":"videoSnippet","props":{"videoId":"12437231626996307033"},"curPage":0},{"id":"11808944032054397625-0-15","type":"videoSnippet","props":{"videoId":"11808944032054397625"},"curPage":0},{"id":"10993437645077590100-0-16","type":"videoSnippet","props":{"videoId":"10993437645077590100"},"curPage":0},{"id":"14370063524525688731-0-17","type":"videoSnippet","props":{"videoId":"14370063524525688731"},"curPage":0},{"id":"7215722560669900812-0-18","type":"videoSnippet","props":{"videoId":"7215722560669900812"},"curPage":0},{"id":"8700413964062494497-0-19","type":"videoSnippet","props":{"videoId":"8700413964062494497"},"curPage":0}],"filters":{},"serpFooter":{"linksGroups":[{"type":"geo","links":[{"label":"Columbus","title":"Columbus","url":"//yandex.com.tr/tune/geo/","logNode":{"name":"region"},"target":"_self","a11yLabel":"Bölgeniz Columbus","needRetpath":true}]},{"type":"help","links":[{"label":"Bize ulaşın","url":"https://yandex.com.tr/support/video/troubleshooting.html","logNode":{"name":"feedback"},"needRetpath":true},{"label":"Yardım","url":"https://yandex.com.tr/support/video/","logNode":{"name":"help"},"needRetpath":true}]},{"type":"settings","links":[{"label":"Ayarlar","url":"https://yandex.com.tr/tune/search/","target":"_self","logNode":{"name":"settings"},"needRetpath":true}]},{"type":"company","links":[{"label":"Şirket hakkında","url":"//yandex.com.tr/company/","logNode":{"name":"about"},"target":"_blank"},{"label":"Kullanım lisansı","url":"//yandex.com.tr/legal/termsofuse/","logNode":{"name":"license"},"target":"_blank"},{"label":"Gizlilik Politikası","url":"//yandex.com.tr/legal/confidential/","logNode":{"name":"confidential"},"target":"_blank"}],"a11yHidden":true}],"hasExtralinks":true},"currentPage":0,"prevPageToLoad":-1,"nextPageToLoad":1,"isTranslationsFilterEnabled":false,"isTranslationsDistributionEnabled":false,"isTranslationsDistributionOnboardingEnabled":false,"isFeedbackModalVisible":false,"prevention":{},"hasNextPage":true,"rightSerpItems":[{"type":"direct","id":"search-list-right","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"R-I-8843654-1","renderTo":"search-list-right-0-R-I-8843654-1","pageNumber":0,"grab":"dOunpOyKpO2UhOugiOyGjCBNYXRoUHJlc3NvCg==","darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","ui":"desktop","yuid":"3292817931765482530"}}},"isAdult":false,"position":0,"placement":"search-list-right"},"curPage":0}],"isAdultQuery":false,"errorList":[],"layout":"list","retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3D%25EB%25A7%25A4%25EC%258A%25A4%25ED%2594%2584%25EB%25A0%2588%25EC%2586%258C%2BMathPresso"},"main":{"_isInitial":true,"snippets":[],"serpFooter":{"linksGroups":[]},"isLoggedIn":false,"tags":[]}},"internal":{"nonce":"0621553076620710937249","expFlags":{"video_settings_toolbar_redesign":1,"velocity_delay_drawer":1,"video_viewer_heartbeat_disabled_in_no_js_api":1,"video_search_toggle_with_text":1,"velocity_disable_suspense":1,"video_viewer_desktop_smart_layout":1,"dark_theme_desktop":"cookie","distr_splashscreen_on":1,"video_viewer_check_sandbox_origin":1,"video_font_yandex_sans":1,"video_adv_new_show_rules":1,"video_resource_loader":1,"video_adv_config_desktop":{"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"video_nohost_full_filter_onboarding_enable":1,"video_vh_player_js":0,"video_masthead_ratio":"180,4","video_searchdata_scheme":1,"video_viewer_related_fail_error_screen":1,"velocity_delay_metrika":1,"video_viewer_channel_link_mode":2,"video_partner_label":1,"video_resource_loader_load_timeout":6000,"int_tr":1,"mmui_extended_escape_scheme":"searchdata.clips.0.authorname","tabs_order_version":"search,images,video,newstr,maps,translate,tr_ecom","spok":"id","video_suggest_use_serp":1,"video_search_grid_direct_repeat":6,"video_direct_config_desktop_search":"search-grid-row:R-I-48058-718:R-I-474674-109,search-grid-head:R-I-2120168-7","init_meta":{"enable-yabs-distr":1,"ask-user-purchase-history":1,"use-src-videoquickp":1,"enable-begemot":1,"enable_masthead":1,"use-src-videop":1,"use-src-videoquickp_misspell":1,"enable_blackbox_multisession":1,"begemot-enable-cancelled-misspell-rtmr":1,"enable_video_iron_fetcher":1,"use-related-only":1,"ask-yandex-io-devices":1,"use-images-device-setup":1,"use-src-imagesp":1,"images-apphost-collections-front":1,"enable_aab_apphost":1,"graph-is-video-search":1,"use-src-imagesp_misspell":1,"use-src-imagesultrap":1,"use-video-apphost-pre-templates":1,"use-src-videop_misspell":1,"use-video-apphost-post-templates":1,"use-src-imagesquickp":1,"enable_video_carousels":"1","restrict-max-docs":"1000","use-images-region-setup":1,"use-post-auto2":1,"use-images-settings-setup":1,"use-src-ugc_favorites":1,"video_vitrina_disable":"0","use-images-user-setup":1,"use-video-pre-search-data":1,"begemot-no-suggest-history":1},"video_depot_viewer_masthead_ssr_only":1,"video_blender":1,"video_search_grid_enable":0,"video_viewer_desktop_fix_d2d_scroll":1,"video_depot_viewer_legacy_counters":1,"video_search_grid_direct_start":3,"video_adv_new_show_rules_docs_count":1,"beauty_header_futuris_tab":9,"video_related_suggest_enable":1,"video_redirect_plug":2,"video_adv_grid_inplace":1,"distr_popup_on":1,"dark_theme_desktop_default_pref":"system","video_search_toggle_enable":1,"video_depot_viewer_related_adv_margin":400,"video_viewer_doc2doc_instant_load":1,"velocity_split_hydration":4,"video_duration_counter_new_format":1,"video_force_grid_on_premordie":1,"int_online_summarization_video_snippet":1,"video_morda_header_nav":1,"video_nohost_full_filter":1,"distr_pcode_off":1,"video_baobab_blockstat":1,"video_thumb_poster_full":1,"video_scrollpages":2,"video_serp_desktop_block_design":1,"video_nohost_youtube_filter":0,"video_viewer_host_link_mode":1},"slots":["151171,0,5;128378,0,11;126355,0,61;1281084,0,50;287509,0,81;927444,0,35"],"isYandexNet":false,"platform":"desktop","isEnLogo":true,"retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3D%25EB%25A7%25A4%25EC%258A%25A4%25ED%2594%2584%25EB%25A0%2588%25EC%2586%258C%2BMathPresso","mordaUrl":"//yandex.com.tr/","videoSearchUrl":"https://twitter.yandex.com.tr/video/search?text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","settingsUrl":"https://yandex.com.tr/tune/search/","helpUrl":"https://yandex.com.tr/support/video/","legalUrl":"//legal.yandex.com.tr/termsofuse/","feedbackUrl":"https://yandex.com.tr/support/video/troubleshooting.html","basename":"/video","currentPageName":"search","isYandexApp":false,"isYandexAppAndroid":false,"isYandexAppIos":false,"isAnyYaBro":false,"isAndroid":false,"isHamster":false,"serpid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","backUrl":"//ya.ru","url":"https://twitter.yandex.com.tr/video/search?text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","isIntegrationTest":false,"isEndToEndTest":false,"shouldDropLogs":false,"seo":{"title":"매스프레소 MathPresso: 730 video Yandex'te bulundu","description":"\"매스프레소 MathPresso\" sorgusu için arama sonuçları Yandex'te","shareTitle":"매스프레소 MathPresso — Yandex video arama","keywords":"yandex video, video araması, çevrimiçi izle, dizi, film, müzik klipleri","hasPorno":0},"isEmbedded":false,"isPumpkin":false,"sessionCsrfToken":"ya034453ea1fb310e4d6ae931e4b0e1b1","reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"151171,128378,126355,1281084,287509,927444","queryText":"매스프레소 MathPresso","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","userRegionName":"","userRegionId":"function() {\n return this._region.id;\n }","yandexuid":"3292817931765482530","uid":"0","isChildAccount":false}},"userTestids":"191768,238743,246500,253288,265553,270072,277807,274239,294077,278842,331010,338398,378416,359879,415420,644350,652605,645301,679708,689693,690449,696466,696473,722746,740796,776165,771230,781521,790415,801982,851450,886706,883477,900639,931367,937268,969063,935488,945314,989988,982463,991363,990185,1015567,1011895,1035320,1033956,1035241,1036046,1087297,1060131,1071879,1078818,1077703,1116602,1045814,1131637,1144233,1151726,1156933,1174275,1173000,1167408,1202006,1194718,1221235,1228280,1239596,1227266,1226860,1246754,1276447,1289213,1316370,1313283,1321224,1300570,1320679,1352408,1342688,1344637,1341968,1345362,1343279,1367583,1336673,1348424,1382036,1391511,1384451,1402882,1407422,1417605,1424780,1429092,1441146,1299604","regionId":20815,"isYaRu":false,"shouldUnmountSearchPageInViewer":false,"videoGlobalContext":{"platform":"desktop","isPumpkin":false,"language":"tr","user_time":{"epoch":"1765482535","tz":"America/Louisville","to_iso":"2025-12-11T14:48:55-0500","__is_plain":1},"isHermione":false,"shouldStubImages":true,"enableVideoPreviewInHermione":false,"reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","isEmbedded":false,"shouldShowMainPageButtonInViewer":false,"shouldDisableWebp":false,"removeLinkPrefix":"/video","shouldUseHighresPreview":true,"shouldCutSnippetTitle":true,"shouldShowPlusBadge":true,"reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"151171,128378,126355,1281084,287509,927444","queryText":"매스프레소 MathPresso","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","userRegionName":"","userRegionId":"function() {\n return this._region.id;\n }","yandexuid":"3292817931765482530","uid":"0","isChildAccount":false}},"deviceDetect":{"OSFamily":"Unknown","isTV":0,"x64":0,"GoogleToolBarVersion":"","MultiTouch":0,"BrowserBase":"","YandexBarVersion":"","isTablet":0,"YandexBar":0,"hasWebOmni":0,"isTouch":0,"hasYandexCamera":0,"isMobile":0,"DeviceKeyboard":"","device":"desktop","TurboAppPlatformVersion":"","historySupport":0,"BrowserShellVersion":"","DeviceVendor":"","isBrowser":0,"hasFlash":0,"MailRuSputnikVersion":"","isSameSiteSupported":0,"BrowserBaseVersion":"","BrowserVersionRaw":"","hasWebVert":0,"DeviceId":"","error":"","MailRuAgent":0,"ScreenWidth":0,"inAppBrowser":0,"hasHTML5":0,"isEmulator":0,"J2ME":0,"MailRuAgentVersion":"","BrowserEngineVersionRaw":"537.36","isRobot":1,"__is_plain":1,"BrowserEngineVersion":"0537.0036","BrowserName":"Unknown","DeviceModel":"","BrowserEngine":"WebKit","DeviceName":"","OSVersionRaw":"","OSName":"","GoogleToolBar":0,"ScreenSize":"","isTurboApp":0,"MailRuSputnik":0,"YaBuildName":"","isWAP":0,"PreferMobile":0,"DesktopMode":0,"BrowserVersion":"","BitsPerPixel":0,"BrowserShell":"","YaGUI":"","isBeta":0,"OSVersion":"","ScreenHeight":0},"nonce":"0621553076620710937249","disableDoc2DocHostLink":false,"shouldHideChannelLink":false,"disableChannelLink":false,"enableSlowBufferingAlert":false,"enableSlowBufferingAlertDedup":false,"userConnectionRtt":161,"animated":false,"isDoc2DocScrollFix":true,"smartDesktopLayout":true,"enableVIImprovements":false,"isAdvDisabled":false,"shouldShowVideoPlaylistPane":false,"isVideoTranslationSupported":false,"isSummaryDisabled":false,"isSummaryOnlineEnabled":true,"shouldRenderBroSummaryApiContainer":false,"shouldDropLogs":false,"shouldUseBeacon":false,"hasAdBlock":false,"forceSlowBufferingAlert":false,"rknWarnHosts":[""],"relatedAdvRootMargin":400,"postInstreamScreenDuration":2000,"minVideoDurationForInstream":120,"isInstreamEnabledInTesting":false,"useSendBeacon":false,"isFinalHeartbeatDisabledInNoJsApi":true,"wildcard":false,"isAdvUnderPlayerRedesign":false,"disableEarlyEventsInD2d":false,"isDoc2DocInstantLoadEnabled":true,"disableEarlyEventsUnsubscribe":false,"showDebugRelatedURL":false,"shouldUseBetaErrorLogging":false,"shouldShowMetaUnderPlayer":false,"isVideoViewerMetaTitleHidden":false,"isStickyPlayerDisabled":false,"headerNoFavicon":false,"headerBranded":false,"shouldCensorSensitiveContent":false,"isAdvUnderPlayerTransparent":false,"isDoc2DocGridLayoutEnabled":false,"detailsRedesignEnabled":false,"detailsRedesignV2Enabled":false,"isIslandsDisabled":false,"isD2DEmptyLoadFixDisabled":false,"isRoundedPlayerEnabled":false,"isSettingsToolbarRedesign":true,"isDoc2DocEmptyRetryEnabled":false,"isAdvUnderPlayerWithBackdrop":false,"isTouchAdvWithBackdrop":false,"isDoc2DocErrorScreenEnabled":true,"isDoc2DocFeedbackKebabEnabled":false,"isCommentsEnabled":false,"isVideoMainButtonInitiallyCollapsed":false,"isAdvUnderPlayerWithInnerPadding":false,"isKebabAdvancedActionsEnabled":false,"isKebabOnTouchVideoSearchEnabled":false,"isAdvInRelatedWithInnerPadding":false,"isSummaryInMetaButtons":false},"shouldShowAdvId":false,"isAdultQuery":false,"isSensitivePage":false,"showSensitive":false,"shouldReplaceHref":false},"user":{"tld":"com.tr","isEuDomain":false,"login":"","passportId":"","isLoggedIn":false,"locationName":"Columbus","isFamily":false,"yandexuid":"3292817931765482530","ugcCsrfToken":"","family":1,"isChild":false},"config":{"skinMode":"system","skin":"light","version":"releases-frontend-video-v1.1731.0__bfeda8e78a58bbbe51838aa6c0396ee926c9273c","isGridSupported":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"regular":{"default":"R-I-48058-715","mail":"R-A-13411721-3"},"adult":{"default":"R-I-474674-108","mail":"R-A-13426421-3"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"isSkinInitedOnClient":false},"counters":{"params":{"useBeacon":false,"clickHost":"twitter.yandex.com.tr/clck","pid":197},"dict":{"viewer":"2921","user":"538","info":"1275","sources":"1500","select":"775","close":"486","open":"842","source":"186","link":"513","click":"882","tech":"690","player":"1242","change":"719","summary":"3410","init":"1309","item":"22","button":"440","shown":"3780","copy":"1276","text":"232","load":"1724","fallback":"2010","channel":"1345","hide":"1656","serp":"471","pager":"405","down":"601","up":"600","footer":"295","more":"75","page":"143","loaded":"1007","grid":"3223","support":"2458","client":"2989","layout":"54","list":"436","duration":"2136","within":"3247","on":"10","off":"11","host":"3052","supported":"3761","enable":"2396","disable":"2395","full":"318","video":"231","translation":"347","distrib":"316","onboarding":"2045","filters":"618","lang":"1144","advanced":"255","apply":"2461","reset":"3236","short":"142","toggle":"237","snippet":"254","icon":"1167","abuse":"1436","submit":"297","wizard":"358","incut":"1073","extralinks":"3557","show":"487","feedback":"296","out":"3218","popup":"1544","scroll":"768","retry":"3545","region":"287","help":"177","settings":"1137","recommendations":"2671","home":"1319","soo":"65","youtube":"624","google":"66","bing":"568"}},"clips":{"items":{"15694153133306338268":{"videoId":"15694153133306338268","docid":"34-2-8-Z18B74B62F8DF63DB","description":"#수학노트필기 #중등수학 #고등수학 #교양수학 #수학자수업 #Shorts...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1984281/9ba37bbe3ff93af124c013601dde0301/564x318_1"},"target":"_self","position":"0","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DG99-LE3M5co","linkTemplate":"/video/preview/15694153133306338268?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"[고딩버전] 죄수의 딜레마","related_orig_text":"매스프레소 MathPresso","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"매스프레소 MathPresso\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=G99-LE3M5co\",\"src\":\"serp\",\"rvb\":\"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_CDw8aDz8TeoIEJAGABCsqiwEQARp4gff-_AD-AwD7_g0E-wb9AvEK-fv5_v0AAf_-_gIF_gDoBPoGCf8AAPoQA_4GAAAAAQgB_vL-AQANAgb9_QAAAAD3_QEBAAAADAEBAf8BAAD8CP4GBP8AAA7-AQgAAAAA7xIEAgn07woFDfkDAAAAAPji-_wBAAAAIAAtAFPbOzgTQAlITlACKnMQABpgHR0ADxE0FtkUAO7_APwU-vzs_9LhBQAa7wARCe30EfD02wEB_wn9AfPPAAAACfv7HgYA1j8hCtIG9wvv6NkE8i5_9SsBK_MN-eARIOIEDBIFFfcHAO_96-4N_RUKHfMcIAAtHjqDOzgTQAlIb1ACKq8GEAwaoAYAADDBAACuQgAAkEEAALjBAABQwQAArkIAAOBBAAA8wgAApsIAAMhBAABgQgAAJEIAADjCAABgwgAAAEEAABDBAAD4QQAAEMIAAAzCAAAsQgAAeEIAADDCAAB4wgAAkEIAAMjBAAAkwgAAFMIAADTCAAAAwAAAMEIAADDBAAAAQAAAoMEAALDBAACYQQAA6EEAAKBBAADKQgAAsEEAAJhBAABYQgAAsEEAAKBBAACYQQAAHEIAAIBCAABcQgAAAMAAAM5CAAAwQQAA4MEAAIA_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_AADowQAA4EAAAMDAAAAcQgAAgMEAABBBAAAUQgAA6EEAALjBAACgQAAAzMIAAIhBAAAwwgAATMIAAJDCAAD4QQAAEEEAAJDCAABIwgAA8EEAAGjCAACAQAAA4MAAACBBAABAwAAArMIAACBBAACaQgAAKMIAAIhCAACowQAAMMEAADBCAABQQQAAUMEAAKjBAACgwAAA4EAAAMBAAAAAwSAAOBNACUh1UAEqjwIQABqAAgAAqL0AAIi9AACePgAAJD4AAPi9AABkPgAAbL4AAN6-AAAwPQAAcD0AAL4-AABAPAAAQLwAACw-AABwvQAAqL0AABQ-AACgvAAAQLwAAHQ-AAB_PwAAqD0AABS-AAAsPgAAoLwAAOC8AAA8vgAAmL0AAHA9AAAEPgAAQDwAAOA8AAAcvgAALD4AAKA8AAA0vgAAQDwAAJi9AACuvgAAXL4AAHA9AACIvQAAgDsAANi9AAAUvgAAFL4AAFw-AABwPQAAyL0AAHS-AAAwvQAATD4AAK4-AADIPQAAsr4AAKA8AAAdPwAAcD0AAHw-AAAkPgAAyL0AAEA8AABAPAAAmL0gADgTQAlIfFABKo8CEAEagAIAAFC9AABwPQAAQDwAABO_AABwPQAADD4AAJg9AADovQAAPL4AANo-AAAwPQAAoLwAAII-AAAUvgAABL4AAKA8AACgvAAATz8AACy-AABcPgAAyL0AAIi9AADIPQAAML0AAFC9AADoPQAAQLwAAFA9AAAMPgAAoLwAAJg9AABQvQAAcD0AADy-AAC4vQAAUD0AAOC8AAAEPgAAoLwAABy-AAB8PgAAoLwAAOA8AABsvgAADL4AAFC9AAB_vwAAgLsAAEA8AAAsPgAAjj4AAIA7AAB0PgAA6D0AAIi9AABAvAAAmL0AAHA9AABkvgAA4DwAAIg9AAAwvQAAUD0AABC9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=G99-LE3M5co","parent-reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["15694153133306338268"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false},"14545962534505143307":{"videoId":"14545962534505143307","docid":"34-3-13-Z55F832C5287A0D4B","description":""F=ma" 🍎✈🌏🪐 이걸 보면 수학은 한 편의 시(poem)입니다! 수학자들의 묘비에는 어떤 시가 남겨져 있을까요? ✍🏽 철벽수학 홈페이지 https://www.cbmath.com 📕 매스프레소 책 (교보/yes24/알라딘 外) https://bit.ly/4cJRHSK ☕️ 매스프레소 블로그...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4107413/85a667bb650e84c82a65cfd7606b71a5/564x318_1"},"target":"_self","position":"1","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DnKLSQEz2wEw","linkTemplate":"/video/preview/14545962534505143307?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"수학자 묘비문 클라스","related_orig_text":"매스프레소 MathPresso","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"매스프레소 MathPresso\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=nKLSQEz2wEw\",\"src\":\"serp\",\"rvb\":\"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_CDw8aDz8TMYIEJAGABCsqiwEQARp4gff-_AD-AwD7_g0E-wb9AvEK-fv5_v0AAf_-_gIF_gDoBPoGCf8AAPoQA_4GAAAAAQgB_vL-AQANAgb9_QAAAAD3_QEBAAAADAEBAf8BAAD8CP4GBP8AAA7-AQgAAAAA7xIEAgn07woFDfkDAAAAAPji-_wBAAAAIAAtAFPbOzgTQAlITlACKnMQABpgHh4AEBA4GdUXAOwC_vkW-PnqANDcBwAd7gARCeryEe7x2QQC_wn-AvLKAAAACvn6IAcA0kUlCs0F9gnv6tsC8zB_8iz_LO4O-NsSINoEBxcJGfkIAOz66u0J_BgHH_keIAAtENB3OzgTQAlIb1ACKq8GEAwaoAYAANjBAAAQQgAAmkIAAFTCAABAQQAAoEIAAEDBAAAQQQAAjMIAABDCAADIQQAAGEIAAEzCAAA4wgAAgEEAACDBAACowQAAYEEAAMDAAADAwQAAkEEAABBBAABswgAAQEIAAEDBAADAwAAAGMIAABTCAAC4QQAAfEIAAJDBAACwwQAAgMEAAIA_AACgQQAAHMIAAMLCAADoQgAAoMAAABBBAAAsQgAAHEIAALJCAAAcQgAAEEIAAIBAAABQwQAA4MEAAI5CAABQwQAApMIAAJ5CAAD4wQAAOMIAAPjBAACwwQAAmMIAAADBAADAwQAAaEIAALRCAAAAwQAAgEAAABBBAABwwQAAJMIAAOhBAAA0wgAABEIAAEDBAABgQQAAYEEAAETCAACEQgAA-MEAAIA_AACgwQAABEIAAHjCAADQQQAACMIAACBBAAAoQgAA4MEAAAxCAAAgQgAAAEEAADBBAADMQgAA4kIAAMjCAAD4QQAAIEEAADzCAABAQAAAQMIAAJhBAADAwAAAMEEAAPDBAABwwQAAoEEAALhBAADgQAAANMIAAPDBAACQQQAAoMEAADhCAADIwQAA4EEAAABAAAAIwgAAcMEAAOBBAABMQgAAAEAAAJjCAACGQgAAoMAAABzCAACAQQAA4MEAACBBAAAgQgAAgEEAAKDBAABwwQAAEMIAAADCAACAQQAA4EEAAIhBAAAMQgAATEIAAMjBAACgQQAAUMIAAKDBAADgwQAAgsIAAGRCAAAEQgAAyMEAAJhCAADoQQAA4MAAAOhBAADgQAAAoMAAAMDBAACywgAA-MEAAADBAABAQAAAAMEAAAAAAABgwQAA4MEAABBBAABgQQAAmMEAACBBAACIwQAAKMIAAHTCAACAQgAAAAAAADhCAAAUQgAA4MAAANDBAAAAAAAAiMEAAKBAAAAcwgAAXMIAAIbCAAAQwgAAiEEAAGDCAABgwgAAoMEAAEjCAAAsQgAAbMIAAERCAADaQgAAsMEAANhBAAA8QgAAyMEAAIhBAADgQAAAXMIAAABAAAAwwgAAUMEAAEDBAABkwiAAOBNACUh1UAEqjwIQABqAAgAAmL0AAHC9AACiPgAAJD4AAOi9AABsPgAAdL4AAOK-AAAQPQAAiD0AALo-AACAOwAAgLsAADw-AABwvQAAuL0AAAw-AABAvAAAgLsAAHQ-AAB_PwAAqD0AAAy-AAA0PgAA4LwAABC9AAAsvgAAmL0AAJg9AAAMPgAAQDwAAEA8AAAUvgAAJD4AAEA8AAAsvgAAQDwAAKi9AACuvgAAXL4AAFA9AACYvQAAgDsAANi9AAAUvgAAFL4AAFw-AACYPQAAyL0AAGy-AAAQvQAARD4AAK4-AADYPQAAtr4AAKA8AAAfPwAAiD0AAHw-AAAcPgAAyL0AAEA8AACgPAAAqL0gADgTQAlIfFABKo8CEAEagAIAAHC9AABQPQAAQLwAABW_AACIPQAAHD4AAMg9AADovQAANL4AAN4-AAAQPQAAQLwAAII-AADovQAABL4AAEA8AACAuwAATz8AAEy-AABcPgAADL4AAFC9AADYPQAA4LwAAHC9AADYPQAAQDwAADA9AAAkPgAAoLwAAJg9AABwvQAAMD0AAES-AADYvQAAcD0AAOC8AAAMPgAAgLsAACS-AACCPgAAQLwAAOA8AABkvgAAFL4AADC9AAB_vwAAgDsAAKA8AAA8PgAAjj4AAEA8AAB8PgAA-D0AAIi9AACAuwAAcL0AAJg9AABcvgAAQDwAAKg9AADgvAAAUD0AAHC9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=nKLSQEz2wEw","parent-reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["14545962534505143307"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"10684206998080027485":{"videoId":"10684206998080027485","docid":"34-7-15-ZF3C3EF0BF3712C94","description":"원주율 π=2 라는 황당한 주장이 있습니다. 이는 수학의 "가비의 리" 이론을 몰라서 그런 것이죠 😱✈️🚘 가 보시죠 !! ✍🏽 철벽수학 홈페이지 https://www.cbmath.com 📕 매스프레소 책 (교보/yes24/알라딘 外) https://bit.ly/4cJRHSK ☕️ 매스프레소 블로그...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/903790/d5ce229e0d4a178d8488ad6b6c141f82/564x318_1"},"target":"_self","position":"2","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Di2G63Zk6gQw","linkTemplate":"/video/preview/10684206998080027485?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"원주율 π=2 라고 ?!","related_orig_text":"매스프레소 MathPresso","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"매스프레소 MathPresso\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=i2G63Zk6gQw\",\"src\":\"serp\",\"rvb\":\"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_CDw8aDz8TNoIEJAGABCsqiwEQARp4gff-_AD-AwD7_g0E-wb9AvEK-fv5_v0ACAMBAAQD_wDtB_3-A_8AAP4LBwIAAAAA9QED_PT_AQANAgb9_QAAAAD3_QEBAAAADAEBAf8BAAD8CP4GBP8AAA7-AQgAAAAA7xIEAgn07wr-Cf8DAAAAAPji-_wBAAAAIAAtAFPbOzgTQAlITlACKnMQABpgHhwAFhQ2FNkbAekDBfUR8_7tA8zi_gAZ8gAXA-7wEuz12fgA_xb7_fXKAAAACff2IiEA20c2C9MS7wnq9tb06iN_ACcJJ_QC-uQNONgOECAA_OUaAOrz4_EI9hANH_4iIAAtqEhxOzgTQAlIb1ACKq8GEAwaoAYAAAAAAABUQgAACEIAAGzCAABAwAAAikIAAIRCAACIwQAAysIAABTCAADKQgAAGMIAABzCAAAAQAAA-EEAABBBAAAAQAAA4EEAAEDAAAAAwgAAWEIAAFBBAACAvwAA6EEAAJjBAACwwQAAYMIAAPjBAADAQAAAJMIAALBBAABgwQAA-MEAAChCAAAAQAAAMMIAANDBAABYQgAAYMEAAERCAADgQAAADEIAAK5CAABAwAAA4EEAANhBAAAsQgAAmsIAABhCAAAIwgAAQMEAANBBAABAQQAAyMEAAMBBAACQwQAAnMIAAMDAAAAAQAAAqEEAAFRCAACAQQAACEIAAMBAAACgQQAAgMEAAKRCAAAUwgAAmEEAAIC_AABMQgAAyEEAAIjBAADKQgAAeEIAAMDAAAAUwgAA2EEAAIA_AACwQgAAgL8AAADAAAC4QQAAWMIAAFTCAAAkQgAAAMEAAChCAAAgQgAAqEIAAGjCAADIQQAAqMEAAAzCAACowQAAiMIAAARCAABwwQAAUMEAAEBBAAB4wgAAwEEAAAxCAAAAwQAAQMEAACDBAADIwQAAQEIAANhBAACgQAAAykIAAMhBAAAkwgAAMMEAAKBBAADIQQAAwEEAAFTCAABEQgAASMIAAJBBAAAMQgAAMMIAABDBAAAAwAAAgEEAAJDCAABIQgAA4sIAADBCAACgwAAAQEAAAADAAABAQQAAUMEAAIC_AACgQAAAQEIAAEDCAACYwQAAgMIAAIRCAACAwQAAQEAAAGxCAAAIQgAAEMEAABxCAADAQAAAhEIAAEDBAABUwgAAuEEAAJDBAABIQgAAAMAAAMLCAABgwQAAPMIAACDBAAAAQAAAQMAAAIA_AACAvwAAmMEAAGDBAAAAwAAAiEEAAODBAAA0QgAAGMIAAKBAAAA8wgAAosIAAILCAABgwQAACMIAAJDCAACwwQAAhkIAAHTCAAAYwgAAoMAAAMBAAADAQAAASMIAACDBAAA0QgAAyMEAAEBBAAAMwgAAFMIAAI5CAABQQQAATMIAAFBCAAAEwgAA4MAAADDCAAA8wiAAOBNACUh1UAEqjwIQABqAAgAAuL0AAIi9AACWPgAADD4AAPi9AACKPgAAPL4AAPq-AAAQPQAAmD0AALY-AACIvQAAEL0AADw-AACYvQAA2L0AAEw-AABAvAAAmD0AAIo-AAB_PwAAcD0AACy-AAAsPgAAUL0AAEC8AABEvgAAmL0AADA9AAAEPgAAED0AAIA7AAAMvgAA-D0AAKA8AAA0vgAAgDsAAKC8AAC2vgAAbL4AAPg9AACAuwAAoLwAANi9AAAsvgAAPL4AAII-AABwPQAAqL0AAFy-AADgvAAAND4AALo-AAD4PQAAlr4AABA9AAAbPwAAyD0AAFQ-AAAkPgAAyL0AAIC7AABAPAAA4LwgADgTQAlIfFABKo8CEAEagAIAACS-AABQPQAA4LwAACW_AADgPAAA6D0AAKg9AACgvAAAmL0AAMI-AADoPQAAyD0AANg9AABAvAAA2L0AAOA8AAC4vQAAST8AAHy-AACKPgAANL4AACy-AACIPQAAFL4AALi9AAAUPgAAMD0AADA9AAAUPgAAcD0AAHA9AACAuwAA4LwAAFy-AACAuwAAmD0AAOC8AABUPgAA4LwAAAy-AACCPgAAXL4AAKC8AAAcvgAA-L0AAHC9AAB_vwAA4LwAAIC7AAA0PgAAgj4AAOA8AABMPgAAuD0AAKA8AACAuwAAUL0AAFA9AABwvQAAED0AACQ-AAAEvgAA4DwAAOA8IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=i2G63Zk6gQw","parent-reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["10684206998080027485"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false},"1691066587496647263":{"videoId":"1691066587496647263","docid":"34-8-15-ZA40E8E5E2E5F55D1","description":"수직선 위의 실수의 개수는 우주의 원자 개수보다 많을까요?? 천재 수학자 칸토어는 ＜대각선 논법＞이라는 역대급 발상으로 실수의 개수에 대해 설명했습니다. 영상에서 만나보시죠 🎬 ✍🏽 철벽수학 홈페이지 https://www.cbmath.com 📕 매스프레소 책 (교보/yes24/알라딘 外) https://bit.ly/4cJRHSK ☕...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/405071/d9c1948ce175bf9dc6df92d344f3f43f/564x318_1"},"target":"_self","position":"3","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DwDVeY6fTUog","linkTemplate":"/video/preview/1691066587496647263?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"실수개수 vs 우주원자개수","related_orig_text":"매스프레소 MathPresso","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"매스프레소 MathPresso\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=wDVeY6fTUog\",\"src\":\"serp\",\"rvb\":\"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_EzyCBCQBgAQrKosBEAEaeIH3_vwA_gMA9AILAAIE_gHmEAj8-___APTx-f8FAv8A6vf6-gn_AAAEEgH-_wAAAAEIAf7y_gEADQIG_f0AAAAA9_0BAQAAAP4G_gr_AQAA_Qv3-AL_AAAIBAIKAAAAAP8R_gP__wAADA__AgEAAAAE5QH_AQAAACAALQBT2zs4E0AJSE5QAipzEAAaYBUeABEHMRLqFfjy9Pr4DvYF5wrR-AcAGPcAEwXz8hPu-NgFDv8K8QT21AAAAAb4ABoGANE1HQrgE_f_9fXo-wAifwAfBQ7sA_biMg_q9QQQ9QAA6QDl_voCDf8EBSb_GSAALfDVjjs4E0AJSG9QAiqvBhAMGqAGAACYQQAAGEIAANBBAACowQAAqMEAAK5CAAAAQgAAAMIAAODCAABowgAAhkIAAJjBAABwwQAAbMIAABBCAADAwAAASEIAABhCAAAowgAAPMIAALZCAAAwwQAACMIAAEBBAACQwQAAeMIAAILCAAAwwQAAoMAAAEDAAAAwwgAAYMEAAPjBAAAkQgAA0EEAAIA_AAAAQAAAvEIAAKBBAAC0QgAAgEAAAIBAAABMQgAAUEIAAIA_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-MEAADDCAADIQQAAQEAAABxCAABcQgAAXEIAAIA_AAAgQQAATEIAAKBBAADoQQAAhMIAAIjBAAAowgAA2EEAAIjBAAB8wgAAOMIAAMjBAACgwAAAUEIAAIA_AACIwQAAVEIAAAzCAABEwgAAIMEAAABBAADAQAAAREIAAMDAAAD4QQAA6MEAAODBAADgQQAAuMEAAEDCAAB4wgAAAEEAAERCAADUwgAAcMEAAADBAAAwwQAATEIAAOjBAAAIwgAAMEIAAMDBAAAAQAAAQEAAAKDCAACIQQAAFEIAAL7CAACwQQAAWMIAABjCAACAvwAAiEEgADgTQAlIdVABKo8CEAAagAIAAOC8AADgvAAAmj4AAEw-AAAsvgAAPD4AAES-AADSvgAAmD0AALg9AADSPgAAoLwAAKA8AAAsPgAAyL0AAKC8AAA8PgAAgLsAAOA8AACKPgAAfz8AAOA8AACovQAAJD4AAKi9AABAPAAALL4AAEC8AAAwPQAAqD0AADA9AAAQPQAANL4AAMg9AABQvQAAJL4AAEA8AADovQAAwr4AAIK-AACgPAAAJL4AAIg9AAD4vQAA2L0AAAy-AABsPgAAgDsAAJi9AACCvgAAiL0AADw-AACiPgAALD4AAKK-AACgPAAAJT8AAKA8AAB0PgAAFD4AAJi9AAAwvQAAQDwAALi9IAA4E0AJSHxQASqPAhABGoACAADovQAAcL0AAIA7AAAXvwAABD4AAOg9AAAkPgAABL4AAHy-AADCPgAABD4AABA9AAA8PgAA2L0AAJi9AACAOwAAqL0AAEc_AABEvgAAXD4AAOA8AABAPAAAmD0AAIi9AACgvAAAgDsAAKi9AADgPAAA6D0AAIC7AAC4PQAAUL0AABA9AACOvgAAED0AAKA8AADovQAAmD0AAJi9AAC4vQAAjj4AAJi9AACYPQAAdL4AAKi9AAC4vQAAf78AAFA9AAAUPgAAoLwAAHQ-AAAQPQAAND4AAIg9AABAPAAAgDsAAHC9AADgPAAABL4AAOA8AABAvAAAmL0AAIg9AACAOyAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=wDVeY6fTUog","parent-reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["1691066587496647263"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false},"8812528439828530180":{"videoId":"8812528439828530180","docid":"34-0-4-Z5A252FA36A0E3DE6","description":"고등학생들이 교과서에서 가장 잘 까먹는 공식 1위(?)와 그 이유를 알아 보겠습니다 🚘✈✍🏽 철벽수학 홈페이지https://www.cbmath.com📕 매스프레소 책 (교보/yes24/알라딘 外)https://bit.ly/4cJRHSK☕️ 매스프레소 블로그https://blo... 수학사, 수학과 인문학, 매스프레소, Mathpresso...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4257051/866000f96056feb4d89a4dc068e1b163/564x318_1"},"target":"_self","position":"5","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DTnpl5tVOA3A","linkTemplate":"/video/preview/8812528439828530180?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"잘 까먹는 공식 1위는??","related_orig_text":"매스프레소 MathPresso","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"매스프레소 MathPresso\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Tnpl5tVOA3A\",\"src\":\"serp\",\"rvb\":\"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_EyWCBCQBgAQrKosBEAEaeIH0__4F-wYA-_4NBPsG_QLyCfn8-v79AAH9BvsDBf4A6QT6Bgj_AAD6DwP-BgAAAAEHAf7y_gEADAIG_f0AAAAA-P0BAQAAAAwBAQH_AQAA_gcDAAL_AAAO_gEIAAAAAPASBAII9O8KBQz6AgAAAAD54_v8AQAAACAALU8Y5Ds4E0AJSE5QAipzEAAaYBocAA4RMhfVFQDqAf_6Evr67f_R3gcAHO4AEQnp8xHw89sCAf8K_gPzzgAAAAv7-iAIANY_IwjQBvYK8evaAfUvf_Io_yfxDPLfEh3eBQMWBRT8CQDu-vDtCP0VBx35GyAALWmWgjs4E0AJSG9QAiqvBhAMGqAGAAAQwQAAcEEAABDBAAAAwAAAAAAAAKxCAABAQgAAcEEAAPbCAADgQAAAUMEAAEDCAAAwwgAAIMEAAJhBAAAAAAAA8EEAAJhBAAA8wgAAyMEAAIRCAACgwQAAwMEAAGBBAABgwQAAUMIAAJTCAADQwQAA4EEAAEDAAACQwQAAgD8AALzCAADgwAAAAMIAAIDBAABAwgAAcEIAAPDBAABMQgAAEMEAACBBAACmQgAAkEIAAAxCAABgwQAAiEEAAADCAAC0QgAAgEEAADBBAADAQQAA6EEAAPDBAAAgwQAAuEEAAPrCAACIwQAAGMIAADRCAAAAQQAAKMIAAMBBAAAAQAAALEIAANBBAAAIQgAAJEIAAAhCAABQQQAA-EEAAKDAAAA4wgAAbEIAAKDBAAAAQAAABMIAAIBBAABAQgAAoMEAAIA_AAC4QQAAuEEAAJLCAABwwQAAyMEAAODBAADAQAAAiEIAAK5CAABQwQAAVEIAAPjBAADewgAAAAAAAJjCAAAAQgAAyMEAANDBAACIwQAAwMEAACBBAACOQgAAoEEAABzCAADAQAAAgMEAADTCAAAgQQAAVMIAAJ5CAADgQQAAhsIAADDBAADYQQAACEIAAABCAABIwgAAYEEAAETCAABEQgAA4EEAABjCAADgwAAA8EEAAIBCAABEwgAAAMAAAGTCAACAwAAAAEAAADBCAAAAQQAAuEEAAIC_AABAwAAAZMIAAIBAAACgwQAARMIAALjBAAAsQgAAwMAAAIDAAAAcQgAAuEEAAFTCAABAwQAAcMEAAHBCAABQQQAAjMIAAARCAAD4wQAAyEEAAADCAABcwgAAHMIAAJDCAACgQQAAgEAAAIBAAACowQAApkIAAGDBAACcwgAAoEEAABBCAAAQQgAALEIAAKzCAACwQQAAVMIAABzCAABgwQAAWMIAAETCAABMwgAAkMEAAMhBAADwwQAAwEAAAADAAADIwQAAJEIAAAjCAAAgQQAATEIAAFBBAADgwAAABMIAAJjBAABAwQAAsEEAAKDBAACAPwAATMIAAIbCAAAUwgAAQMIgADgTQAlIdVABKo8CEAAagAIAAAS-AACYvQAAjj4AABw-AAAMvgAAZD4AAGS-AADivgAA4DwAAOA8AADOPgAAoDwAAIC7AABEPgAAUL0AAOi9AAAkPgAA4LwAAIC7AACGPgAAfz8AAKg9AAA0vgAAND4AAIA7AACgvAAANL4AAAS-AABQPQAAJD4AAKA8AACIPQAALL4AABw-AABAvAAAHL4AAKA8AACovQAAtr4AAFS-AACoPQAAqL0AAKC8AACYvQAA6L0AAAy-AABkPgAAcD0AABS-AACSvgAAiL0AACQ-AADKPgAAuD0AAJ6-AAAQPQAAHT8AAFA9AACCPgAAZD4AAIi9AABAPAAAoLwAABC9IAA4E0AJSHxQASqPAhABGoACAACYvQAAmD0AAIC7AAATvwAAUD0AABQ-AADYPQAAyL0AADy-AADqPgAAUD0AAKC8AABsPgAADL4AAAy-AACgPAAAgLsAAE0_AABEvgAAXD4AAPi9AACIvQAA2D0AABC9AABQvQAA-D0AAEC8AABwPQAAFD4AABC9AACYPQAAUL0AAOA8AABMvgAAyL0AAFA9AAAQvQAADD4AAIA7AAAkvgAAij4AAOC8AABAPAAAbL4AAAy-AAAwvQAAf78AAKC8AABAPAAATD4AAJI-AACgPAAAdD4AAPg9AACIvQAAQLwAAJi9AACoPQAAZL4AAEA8AACIPQAAEL0AAHA9AAAwvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=Tnpl5tVOA3A","parent-reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["8812528439828530180"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"3128861521483016750":{"videoId":"3128861521483016750","docid":"34-3-8-Z03FB8BFCE56809F4","description":"수학에서 질문을 받으면 잠시 멈추고 생각해봐야 합니다. "부등호의 방향은 언제 바뀌는가?" 이 질문에 대한 답을 해보세요 ✈🚘 ✍🏽 철벽수학 홈페이지 https://www.cbmath.com 📕 매스프레소 책 (교보/yes24/알라딘 外) https://bit.ly/4cJRHSK ☕️ 매스프레소 블로그...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/910030/c5d6c4f1e5b9697a5fae8a18397f1113/564x318_1"},"target":"_self","position":"6","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DCSeMbutPtIk","linkTemplate":"/video/preview/3128861521483016750?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"제대로 답변한 사람 못 본 문제","related_orig_text":"매스프레소 MathPresso","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"매스프레소 MathPresso\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=CSeMbutPtIk\",\"src\":\"serp\",\"rvb\":\"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_EzSCBCQBgAQrKosBEAEaeIH0__4F-wYA-_4NBPsG_QLyCfn8-v79AAH9BvsDBf4A6QT6Bgj_AAD6DwP-BgAAAAEHAf7y_gEADAIG_f0AAAAA-P0BAQAAAAwBAQH_AQAA_gcDAAL_AAAO_gEIAAAAAPASBAII9O8K_gn_AwAAAAD77f7_AAAAACAALU8Y5Ds4E0AJSE5QAipzEAAaYBcbAA0RLhnUEwDkAv35D_v58P_T3QUAHO4AEQno8xPv898CAf8JAQf10AAAAAz9-SAHANY9JQfRA_kH8_Dd_fkvf-4mACPyCenfEx7eBgIZAxT7CQDw_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_AADgwAAAOEIAAOTCAACAvwAA0EIAAEDCAABIQgAAqMEAACDCAAAQQQAAAAAAANDBAAAQQgAAHMIAAMjBAADYwQAAqMEgADgTQAlIdVABKo8CEAAagAIAANi9AABQvQAApj4AAAQ-AADovQAAbD4AAFS-AADmvgAAMD0AAKA8AAC2PgAAoDwAAIA7AABEPgAAUL0AAKi9AAAUPgAA4LwAAKC8AACGPgAAfz8AALg9AAAEvgAALD4AAOC8AADgvAAAJL4AAKi9AABwPQAADD4AAKA8AABQPQAAHL4AABw-AACgPAAAHL4AAKA8AACIvQAAsr4AAGy-AABQPQAAUL0AAIC7AADIvQAAFL4AAAy-AAB8PgAAMD0AAMi9AACCvgAAUL0AADw-AAC2PgAA6D0AAK6-AABAPAAAHz8AAJg9AABsPgAALD4AANi9AABAPAAAgLsAAIi9IAA4E0AJSHxQASqPAhABGoACAAC4vQAAiD0AABA9AAAXvwAAED0AAAQ-AADoPQAAqL0AAFS-AADqPgAAUD0AABC9AAA0PgAADL4AAAS-AACAOwAA4LwAAE0_AAAkvgAAVD4AAMi9AADIvQAAyD0AAFC9AABQvQAA-D0AADC9AACIPQAABD4AAOC8AABwPQAAUL0AABA9AABUvgAAiL0AAHA9AAAQvQAABD4AAKA8AAD4vQAAkj4AABC9AACAuwAAbL4AABy-AACIvQAAf78AABC9AACgPAAAPD4AAII-AACgPAAAbD4AAPg9AABQvQAAoLwAAKi9AAC4PQAAbL4AAIA7AABwPQAAoLwAAJg9AABAvCAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=CSeMbutPtIk","parent-reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["3128861521483016750"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"9676607936792359296":{"videoId":"9676607936792359296","docid":"34-10-12-Z35F4F1FBA565605B","description":"자연수의 역수의 합(조화급수) 도전!! 1 + 1/2 + 1/3 + ••• + 1/n = ?? ※ 영상 제작 방식은 공유하지 않습니다. ✍🏽 철벽수학 홈페이지 https://www.cbmath.com 📕 매스프레소 책 (교보/yes24/알라딘 外) https://bit.ly/4cJRHSK ☕️ 매스프레소 블로그...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1648334/1b0e9597f32460efe1edeccb1730d19a/564x318_1"},"target":"_self","position":"7","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DZH5mmmo9WNk","linkTemplate":"/video/preview/9676607936792359296?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"\"자연수의 역수의 합\" 가능 ??","related_orig_text":"매스프레소 MathPresso","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"매스프레소 MathPresso\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=ZH5mmmo9WNk\",\"src\":\"serp\",\"rvb\":\"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_EzKCBCQBgAQrKosBEAEaeIH3_vwA_gMA-_4NBPsG_QLxCvn7-f79AAH9BvsDBf4A6AT6Bgn_AAD6EAP-BgAAAAEIAf7y_gEADQIG_f0AAAAA9_0BAQAAAAwBAQH_AQAA_gcDAAL_AAAO_gEIAAAAAO8SBAIJ9O8KBQ35AwAAAAD44vv8AQAAACAALQBT2zs4E0AJSE5QAipzEAAaYBodAA4RMBbeE_3s_v4BFPv88vzU5QUAG-wAGQnx-xPz-NwE__8M_QL00QAAAAn--RsMAOM5IQ3aDPML8-vWAPQuf_ko_Sj3BvfpGR_nBgkTBg33BgDy9_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-EEAALhBAABUwgAAEEEAAKbCAAAwwQAAsEEAAEBAAACgQQAA8EEAAODBAAAAwQAA0MEAADBBAAAgwQAA4MEAADDCAAAUQgAAgEAAAAAAAABwQgAAqEEAAJjBAACAQAAAAMAAABBCAACgwQAAdMIAAEBBAAAcwgAAYEEAAFDBAABcwgAAkMEAAHzCAABwwQAAFEIAAIA_AACAwQAAQEIAAJDBAAC4wQAAMMEAAABBAACgwQAAREIAAFzCAABcQgAAuMEAAHDBAAAQQQAAEMEAAHjCAACGwgAAYEEAAAxCAADswgAALMIAAIBAAAAwwQAA6EEAAJ7CAADwwQAAiEIAAKjBAACoQQAAYEEAAFDCAAAAQAAAAEEAALzCAAA4QgAAosIAACzCAAAcwgAACMIgADgTQAlIdVABKo8CEAAagAIAALi9AABwvQAAnj4AABw-AAD4vQAAdD4AAFy-AADivgAAED0AABA9AACuPgAAgDsAAEC8AAA8PgAAUL0AAJi9AAAUPgAAoLwAAEC8AAB8PgAAfz8AALg9AAAMvgAALD4AABC9AAAQvQAAJL4AAKi9AABwPQAADD4AAOA8AAAQPQAAJL4AABQ-AACgPAAALL4AAEA8AABwvQAAsr4AAGS-AABwPQAAcL0AAEA8AADYvQAADL4AAAy-AABsPgAAUD0AAMi9AACCvgAAUL0AAEQ-AACuPgAAyD0AAKq-AABAPAAAHz8AAJg9AAB0PgAAJD4AAKi9AACgPAAAgDsAAKi9IAA4E0AJSHxQASqPAhABGoACAACIvQAAmD0AAEA8AAATvwAAUD0AACQ-AAAMPgAAyL0AADy-AADqPgAAUD0AAOC8AABkPgAADL4AABS-AADgPAAAgDsAAE8_AABEvgAAVD4AAPi9AACovQAA6D0AABC9AABQvQAABD4AAFC9AABwPQAAFD4AAFC9AACIPQAAUL0AABA9AABkvgAAqL0AAHA9AACgvAAA6D0AAKA8AAAsvgAAmj4AAKC8AACAuwAAfL4AAAy-AAAwvQAAf78AABC9AACgPAAARD4AAJo-AAAQPQAAZD4AAAQ-AABwvQAAgLsAALi9AABwPQAAZL4AAKA8AACYPQAAML0AAFA9AAAQvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=ZH5mmmo9WNk","parent-reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["9676607936792359296"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"7902693910520728535":{"videoId":"7902693910520728535","docid":"34-10-11-ZE19128B6D6F677EA","description":"#중선정리 #파푸스정리 #아폴로니우스 #샤이니 #매스프레소 #철벽수학 #수학사 #수학과인문학 #Shorts...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4318862/c394f6b9d9e5999e4c9bde4b901e794b/564x318_1"},"target":"_self","position":"8","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DdZFdMh2slOU","linkTemplate":"/video/preview/7902693910520728535?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"중선정리 암기법","related_orig_text":"매스프레소 MathPresso","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"매스프레소 MathPresso\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=dZFdMh2slOU\",\"src\":\"serp\",\"rvb\":\"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_EySCBCQBgAQrKosBEAEaeIH3_vwA_gMA-_4NBPsG_QLxCvn7-f79AAH__v4CBf4A6AT6Bgn_AAD6EAP-BgAAAAEIAf7y_gEADQIG_f0AAAAA9_0BAQAAAAwBAQH_AQAA_Aj-BgT_AAAO_gEIAAAAAO8SBAIJ9O8KBQ35AwAAAAD44vv8AQAAACAALQBT2zs4E0AJSE5QAipzEAAaYB8kABQTPhfTGP3zAvz5G_f56QHH1QgAHPAAGQfp8Q7s9NQABP8J-v_txAAAAAz1-RsEANZNHgrIAPQR6-DcB_A1f_kyCDnsEP7dECzZAA0TDx73BgDp-OTwDfIbBSf2JSAALVsyZTs4E0AJSG9QAiqvBhAMGqAGAACAwAAA4EEAAEhCAAA0wgAAEMEAAJ5CAACwQgAAwMEAAIbCAADwwQAAQEAAAChCAACWwgAAEMEAANjBAAAwQQAA-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-EEAAHjCAADgwQAAOEIAAPDBAAAAwAAAAEIAADBCAAD4wQAAAMAAAIjCAAAAQgAAFEIAAMDAAAAwwQAAnkIAAKDAAACAQQAAEEEAAChCAADAwAAAoMIAADBBAADgQQAAgEEAAKjBAADwQQAAIEIAAFTCAADAwAAAcMIAACBBAACowQAASMIAAPBBAADgwQAAkEEAANDBAACYwgAAgEAAAKLCAADYQQAAOMIAAIC_AAAcQgAAdEIAAPDBAABAQAAAAEIAAGBBAAA4QgAABEIAAFzCAABwwQAAIMIAAIDAAABcwgAAYEEAAKDAAAB8wgAARMIAAOhBAACMwgAAQMEAAAzCAAAQQQAAskIAAFzCAACgQAAAgMAAAJDBAABwwQAAAMEAAFDBAACgQAAAEMEAADxCAACIQQAA0MEAAKhBAADowQAAJMIgADgTQAlIdVABKo8CEAAagAIAAKA8AABQvQAAmj4AAGQ-AAAsvgAAND4AAJK-AADSvgAAoLwAABw-AACSPgAA4LwAAKA8AAAsPgAAuL0AAIi9AAAMPgAAED0AAIg9AACCPgAAfz8AALg9AAA8vgAAXD4AAIA7AAAQvQAAJL4AAJi9AACoPQAA-D0AAHC9AACAuwAANL4AABQ-AADgvAAABL4AAEA8AAAkvgAAnr4AAGy-AACgPAAAHL4AAIA7AABwvQAABL4AADS-AABwPQAA6D0AADC9AABEvgAAcD0AAFQ-AACWPgAA-D0AAKq-AACgPAAAHz8AABA9AAB0PgAAJD4AAFC9AADgvAAAUD0AAKi9IAA4E0AJSHxQASqPAhABGoACAAAQvQAAoLwAAKA8AAAXvwAA2D0AABw-AACYPQAAiL0AAAy-AAC-PgAAQLwAAEA8AAB8PgAAiL0AALi9AADgvAAAQLwAAE0_AABcvgAAXD4AAES-AACIvQAABD4AAOC8AAAQvQAAcD0AAHA9AABAPAAARD4AAOA8AADgPAAAoLwAAEA8AAAcvgAA2L0AADA9AABwvQAA6D0AAIC7AAD4vQAAXD4AAFC9AACgPAAAFL4AACS-AACYvQAAf78AAJg9AABwPQAARD4AAEw-AABAvAAAfD4AAMg9AABwvQAAoLwAAIC7AADgPAAALL4AAEC8AAC4PQAAcL0AAOA8AAC4vSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=dZFdMh2slOU","parent-reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["7902693910520728535"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"4503824206691568868":{"videoId":"4503824206691568868","docid":"34-5-10-Z43F57A89E331AB32","description":"마술사 커리가 만든 유명한 삼각형 트릭이 있습니다. #수학자수업 #Shorts...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4230331/2bea87cf279c1b935e4f3b00b38a032a/564x318_1"},"target":"_self","position":"9","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DlpfEh3Bx_3o","linkTemplate":"/video/preview/4503824206691568868?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"사라진 사각형의 진실","related_orig_text":"매스프레소 MathPresso","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"매스프레소 MathPresso\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=lpfEh3Bx_3o\",\"src\":\"serp\",\"rvb\":\"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_E0KCBCQBgAQrKosBEAEaeIH3_vwA_gMA-_4NBPsG_QLxCvn7-f79AAH__v4CBf4A6AT6Bgn_AAD6EAP-BgAAAAEIAf7y_gEADQIG_f0AAAAA9_0BAQAAAAwBAQH_AQAA_Aj-BgT_AAAO_gEIAAAAAO8SBAIJ9O8KBQ35AwAAAAD44vv8AQAAACAALQBT2zs4E0AJSE5QAipzEAAaYB0dAA8RNRfXFf_tAf_7Ffn76wHR3wYAG-4AEgjr8xDv89kCAv8J_QHyzQAAAAr6-h8HANVCIwnQBvUK7ujaBPIxf_YrACzwDfjfEh_gBQkTBxb5CQDt-uzvDPsXCB_3HSAALTeBfzs4E0AJSG9QAiqvBhAMGqAGAACQQQAAiEEAAKhBAABAwgAAQMAAABxCAAAMQgAAtsIAAJDCAADIwQAAdEIAAHzCAABgwgAAaMIAAIhBAABQwQAAAEEAABhCAACQwgAAnMIAABxCAACowQAAAMIAAOBBAABQwQAACMIAABzCAADgwQAAEEEAAEDAAADgwQAACMIAAIrCAACIQQAAIEIAABTCAAAUwgAAfEIAAEjCAACoQQAAMMEAANhBAADAQgAA2EEAAIBBAADYQQAAQMAAAHDCAAB4QgAAgEAAANDBAACoQQAAMMEAAKBAAACwQQAAiMEAAJrCAAAcwgAAQMIAAJBBAADgQQAAAEEAABRCAAAgwQAAuEEAAPDBAABYQgAAMMIAAIC_AACQQQAABEIAAKBAAADowQAAREIAALhBAACgwQAA-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-AAD4vQAAXD4AAGy-AADivgAAMD0AAHA9AAC6PgAAQDwAAIC7AAA0PgAAiL0AAKi9AAAUPgAAQLwAAIC7AAB8PgAAfz8AALg9AAAUvgAALD4AAEC8AAAQvQAANL4AAJi9AABwPQAADD4AAEA8AADgPAAAHL4AACQ-AABAPAAANL4AAEA8AACYvQAArr4AAFy-AABwPQAAmL0AAIA7AADYvQAADL4AABS-AABUPgAAiD0AAMi9AABsvgAAEL0AAEw-AACqPgAAyD0AALK-AACgPAAAHz8AAHA9AAB8PgAAJD4AALi9AABAPAAAQDwAAKi9IAA4E0AJSHxQASqPAhABGoACAABwvQAAMD0AAIC7AAAVvwAAcD0AABw-AADIPQAA2L0AADy-AADiPgAAED0AAKC8AACCPgAA-L0AAAy-AACgPAAAQDwAAE0_AAA8vgAAXD4AAAS-AAAwvQAA2D0AAOC8AABwvQAA2D0AAIA7AAAwPQAAHD4AAKC8AACYPQAAcL0AAHA9AABMvgAA2L0AAHA9AAAwvQAADD4AAIC7AAAkvgAAij4AAIC7AACgPAAAdL4AABS-AAAwvQAAf78AAEA8AADgPAAAND4AAJY-AACAOwAAdD4AAPg9AABwvQAAgLsAAIi9AACYPQAAZL4AAIA7AACIPQAAML0AADA9AABQvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=lpfEh3Bx_3o","parent-reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["4503824206691568868"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"6593252571166322355":{"videoId":"6593252571166322355","docid":"34-2-15-Z71D4830EBB952AC6","description":"학생들이 의외로 모르는 대표적인 수학 용어는 ( )입니다! 그 뜻을 알아보죠 🚘✈ ✍🏽 철벽수학 홈페이지 https://www.cbmath.com 📕 매스프레소 책 (교보/yes24/알라딘 外) https://bit.ly/4cJRHSK ☕️ 매스프레소 블로그 https://blog.naver.com/mathbsm [ TAG ] #자취의방정식...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/987917/e46c59d6598bd80a536bdcdb7b33559f/564x318_1"},"target":"_self","position":"10","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DZGxcXGWT5es","linkTemplate":"/video/preview/6593252571166322355?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"의외로 모르는 수학 용어 1위 !?","related_orig_text":"매스프레소 MathPresso","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"매스프레소 MathPresso\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=ZGxcXGWT5es\",\"src\":\"serp\",\"rvb\":\"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_EzKCBCQBgAQrKosBEAEaeIH0__4F-wYA-_4NBPsG_QLyCfn8-v79AAH9BvsDBf4A6QT6Bgj_AAD6DwP-BgAAAAEHAf7y_gEADAIG_f0AAAAA-P0BAQAAAAwBAQH_AQAA_gcDAAL_AAAO_gEIAAAAAPASBAII9O8KBQz6AgAAAAD77f7_AAAAACAALU8Y5Ds4E0AJSE5QAipzEAAaYBYbABASLBrYDgHnAPz5Efz78AHS4QQAG-0AEAvq8xLv898AAv8M_QX00QAAAAr7_B8DANU8IQPUBfgH7fPd_fgxf-0oACX1CPHhEBveAgMWBRH5CwDu_vPxCwIVCRr6GCAALYNihzs4E0AJSG9QAiqvBhAMGqAGAACoQQAAMMEAAFxCAABAQQAAQEAAAJxCAADAQAAASMIAAOjCAACAQQAAUEEAADDCAAAgwQAAlMIAADDBAAAAAAAAkEEAAGRCAAD4wQAADEIAADxCAAAwQQAAPMIAABRCAADQwQAAMMIAAEzCAAC4QQAABEIAABBBAAAEwgAANMIAAHTCAADgwAAAmEEAANBBAACowQAAgEIAAIjBAABcQgAAgEIAAMDAAACOQgAArEIAAIhBAAAgwQAA4EAAAGTCAADIQgAA4MAAAATCAADAQQAAiMEAALhBAACYQQAAsMEAAKLCAABgwQAAgL8AAGRCAAAQQgAAEMIAALBBAAAQQQAAoEEAAMDBAABsQgAAgMAAAEDAAACQwQAAMEEAAChCAAAQwgAAEEIAACBBAAAkwgAA0MEAABBBAABAQgAAIMEAAADBAAAMQgAA-EEAAPDBAACAQQAAAEIAADBBAABQQQAAMEEAAP5CAAAYwgAAEEEAABDBAACIwgAAIMEAAKjBAAAsQgAAQEAAAKBAAAAMwgAA4MAAAEDBAADgwAAAcMIAANhBAADIwQAAAEAAALBBAABIQgAAAEAAAPhCAAAAQQAA-MEAAEDAAAAsQgAAQMAAADxCAABMwgAAjkIAADDBAAA0QgAAwEAAAMDAAACwwQAA-EEAAMBAAACEwgAAqMEAALDCAABkwgAAmEEAACDBAACAPwAAgEAAAEzCAACgwQAA4MAAAGDBAACwQQAAwMEAACDBAAA8QgAAUEEAADDBAACIQgAAIEIAAMDAAAAsQgAAoEAAABRCAABgwQAAQMIAAIBAAAD4wQAAKEIAAIC_AAAcwgAAEMIAAJTCAACAQQAABMIAAADAAABwwQAANEIAAJDBAAAkwgAAYEEAANhBAAAAwgAASEIAAOjBAACIQQAAIMIAAEBAAAAAwgAAcMEAAGTCAACiwgAAgEEAAARCAACwwgAAAEAAAIC_AAAgwgAAEEEAANLCAACwwQAAmkIAAMDBAABUQgAA2EEAAGTCAABwQQAAEEEAAITCAADYwQAAksIAAADCAAA4wgAAQEAgADgTQAlIdVABKo8CEAAagAIAAMi9AABQvQAAoj4AAAw-AADovQAAbD4AAFy-AADmvgAAMD0AAOA8AAC2PgAAQDwAAIC7AABEPgAAUL0AAKi9AAAUPgAA4LwAAKC8AACCPgAAfz8AALg9AAAEvgAALD4AAKC8AADgvAAALL4AAKi9AACIPQAADD4AAKA8AAAwPQAAHL4AABw-AACgPAAAHL4AAKA8AACIvQAArr4AAGS-AABQPQAAUL0AAEC8AADYvQAAFL4AAAy-AAB0PgAAUD0AAMi9AAB8vgAAML0AADw-AAC2PgAA2D0AALK-AABAPAAAHz8AAIg9AABsPgAAJD4AAMi9AABAPAAAgDsAAIi9IAA4E0AJSHxQASqPAhABGoACAACYvQAAiD0AAOA8AAAVvwAAED0AAAQ-AADIPQAAuL0AAFS-AADuPgAAUD0AABC9AABUPgAADL4AAAS-AACgPAAAQLwAAE0_AAAsvgAAVD4AAMi9AACovQAAyD0AADC9AAAwvQAA-D0AABC9AABwPQAABD4AAOC8AABwPQAAcL0AAFA9AABUvgAAqL0AAIg9AAAQvQAADD4AAKA8AAAMvgAAjj4AAOC8AACAOwAAdL4AABS-AACIvQAAf78AAOC8AACgPAAAPD4AAI4-AABAPAAAbD4AAPg9AABwvQAAoLwAAKi9AAC4PQAAdL4AAIA7AABwPQAA4LwAAJg9AACgvCAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=ZGxcXGWT5es","parent-reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["6593252571166322355"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"644562018528920357":{"videoId":"644562018528920357","docid":"34-0-5-Z4D8BB38ABA61EBF5","description":"베르누이 분포 베르누이 정리 베르누이 나선 이걸 만든 사람은? 😊🚘✈ ✍🏽 철벽수학 홈페이지 https://www.cbmath.com 📕 매스프레소 책 (교보/yes24/알라딘 外) https://bit.ly/4cJRHSK ☕️ 매스프레소 블로그 https://blog.naver.com/mathbsm [ TAG ] #베르누이 #야곱베르누이...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3913236/247ced5f652c71b8961711ecb5381a7c/564x318_1"},"target":"_self","position":"12","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D-NRC4IIq4HM","linkTemplate":"/video/preview/644562018528920357?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"\"수학은 유전자\" 증명","related_orig_text":"매스프레소 MathPresso","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"매스프레소 MathPresso\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=-NRC4IIq4HM\",\"src\":\"serp\",\"rvb\":\"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_78AP4DAPv-DQT7Bv0C8Qr5-_n-_QAB_Qb7AwX-AOgE-gYJ_wAA-hAD_gYAAAABCAH-8v4BAA0CBv39AAAAAPf9AQEAAAAMAQEB_wEAAP4HAwAC_wAADv4BCAAAAADvEgQCCfTvCgUN-QMAAAAA-OL7_AEAAAAgAC0AU9s7OBNACUhOUAIqcxAAGmAdHQAPEjUX2RUA7f8A_BX7_Oz90uEHABvuABEI7fUS8PTZAgD_Cv4B884AAAAK-_oeBgDWQCMM0Qb3C-_n1wPyLn_0KwIs9Q753xMh4gUMFgYV-QgA7_zp7wv-Fgod8xsgAC38G4E7OBNACUhvUAIqrwYQDBqgBgAAGMIAADhCAAAAAAAAhMIAABBBAACoQgAAOEIAABjCAACmwgAA6MEAAERCAACQwQAAJMIAAFDCAABMQgAAQMIAABTCAACAPwAALMIAALjBAACYQQAAqMEAACTCAABEQgAAqEEAAAjCAACAwgAAQMIAAIBBAADoQQAAQMAAAIA_AACcwgAA4EAAAPDBAADowQAA4MEAAKpCAADgwQAAMEIAAIC_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-MEAAOhBAABQQQAAEMIAAOhBAACOwgAAAAAAAGDBAACAwQAAoEAAAPBBAAC4wQAAbMIAAIBBAACYwQAAoEEAACBCAABcwgAAwEEAACzCAABowgAAMEEAABDCAADgwAAApsIAAHDBAAAYQgAAkMEAADTCAAAgwQAAsMEAAJBCAAD4wQAAAEAAALxCAADwwQAAUEEAAADAAAAEwgAAwEAAAHBBAAAwwgAAkkIAAOjBAADowQAAMMIAAITCIAA4E0AJSHVQASqPAhAAGoACAACovQAAcL0AAJ4-AAAkPgAA-L0AAGQ-AABkvgAA3r4AABA9AACIPQAAuj4AAIA7AACAuwAAPD4AAHC9AACovQAAFD4AAEC8AACAOwAAfD4AAH8_AAC4PQAADL4AADQ-AACgvAAA4LwAADS-AACIvQAAcD0AAAw-AABAPAAAQDwAABS-AAAkPgAAQDwAACS-AACgPAAAqL0AAK6-AABcvgAAUD0AAKi9AACAOwAA2L0AAAy-AAAUvgAAVD4AAHA9AADYvQAAbL4AABC9AABEPgAArj4AAMg9AACyvgAAoDwAAB8_AABwPQAAfD4AACQ-AAC4vQAAoDwAAEA8AACovSAAOBNACUh8UAEqjwIQARqAAgAAUL0AAFA9AACAOwAAFb8AAIg9AAAkPgAA6D0AANi9AAA0vgAA4j4AADA9AACgvAAAhj4AAPi9AAAUvgAA4DwAAIA7AABPPwAAVL4AAFQ-AAAMvgAAUL0AAOg9AACgvAAAcL0AAPg9AACAuwAAUD0AABw-AADgvAAAqD0AAFC9AAAQPQAARL4AAOi9AABwPQAA4LwAAAQ-AACAuwAANL4AAIo-AABAvAAAoDwAAGy-AAAMvgAAML0AAH-_AABAPAAA4DwAADw-AACSPgAA4DwAAHw-AAD4PQAAmL0AAIC7AACIvQAAiD0AAFy-AACAOwAAmD0AAFC9AAAwPQAAUL0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=-NRC4IIq4HM","parent-reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["644562018528920357"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"8395011945716820038":{"videoId":"8395011945716820038","docid":"34-11-8-Z1FBEF9C11DEF3EF6","description":"집합이 세 개 이하일 때 벤 다이어그램은 편하게 그릴 수 있습니다. 그런데 네 집합의 벤 다이어그램은 어떻게 그려야 할까요? 영상에서 만나보시죠. ✈🚘 ✍🏽 철벽수학 홈페이지 https://www.cbmath.com 📕 매스프레소 책 (교보/yes24/알라딘 外) https://bit.ly/4cJRHSK ☕️ 매스프레소 블로그...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2040447/096aec75cf358bad8a67788292658a6c/564x318_1"},"target":"_self","position":"13","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DT9UHBhdR9To","linkTemplate":"/video/preview/8395011945716820038?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"네 집합의 벤 다이어그램 ??!","related_orig_text":"매스프레소 MathPresso","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"매스프레소 MathPresso\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=T9UHBhdR9To\",\"src\":\"serp\",\"rvb\":\"EqsDChQxNTY5NDE1MzEzMzMwNjMzODI2OAoUMTQ1NDU5NjI1MzQ1MDUxNDMzMDcKFDEwNjg0MjA2OTk4MDgwMDI3NDg1ChMxNjkxMDY2NTg3NDk2NjQ3MjYzChM4ODEyNTI4NDM5ODI4NTMwMTgwChMzMTI4ODYxNTIxNDgzMDE2NzUwChM5Njc2NjA3OTM2NzkyMzU5Mjk2ChM3OTAyNjkzOTEwNTIwNzI4NTM1ChM0NTAzODI0MjA2NjkxNTY4ODY4ChM2NTkzMjUyNTcxMTY2MzIyMzU1ChI2NDQ1NjIwMTg1Mjg5MjAzNTcKEzgzOTUwMTE5NDU3MTY4MjAwMzgKFDEyNDM3MjMxNjI2OTk2MzA3MDMzChQxMTgwODk0NDAzMjA1NDM5NzYyNQoUMTA5OTM0Mzc2NDUwNzc1OTAxMDAKFDE0MzcwMDYzNTI0NTI1Njg4NzMxChM3MjE1NzIyNTYwNjY5OTAwODEyChM4NzAwNDEzOTY0MDYyNDk0NDk3ChM2Nzg1MTAwMzEzNzQ4MjA5Njc1ChQxNzE5Mzk5ODU3NjI5MzAwNzk1NxoVChM4Mzk1MDExOTQ1NzE2ODIwMDM4WhM4Mzk1MDExOTQ1NzE2ODIwMDM4aq4NEgEwGAAiRBoxAAoqaGh0bWR0Z3lycGpiZW1hYmhoVUNUTERhVW53TTRycG10Tlo0VldueUh3EgIAEioPwg8PGg8_Ey6CBCQBgAQrKosBEAEaeIH3_vwA_gMA-_4NBPsG_QLxCvn7-f79AAH9BvsDBf4A6AT6Bgn_AAD6EAP-BgAAAAEIAf7y_gEADQIG_f0AAAAA9_0BAQAAAAwBAQH_AQAA_gcDAAL_AAAO_gEIAAAAAO8SBAIJ9O8KBQ35AwAAAAD44vv8AQAAACAALQBT2zs4E0AJSE5QAipzEAAaYBocAA4OLhHbEPzwAP__FPr_7wPV5QUAGu4AFAvy-BDz-N4CAv8MAQL20wAAAAb--h4JAN83HwfbBvED9unhAfQpf_wj_CLzCfvhGhfhBQITBxP2CgDw9vnuDP0LBhj4GyAALcESjzs4E0AJSG9QAiqvBhAMGqAGAABgQgAAkMEAAAxCAADgwAAA6MEAAKBCAAAswgAAqMEAAILCAAA8wgAA-EEAAGTCAACEwgAAQMIAAARCAAAQQgAAAEEAAEBAAAAEwgAAAEEAAJBBAAAswgAAEEIAAGDBAABAwAAAMMEAAIBAAAAMwgAAAMEAAIjCAACgQQAAIMEAAITCAAD4wQAAuMEAAIDAAAA0wgAAnEIAAIhBAACAvwAAMEIAABzCAABMQgAAvEIAAFBBAABgwQAAsEEAAJLCAACUQgAAIMEAAADBAAAkQgAAcMEAABDCAADwQQAAAAAAAFzCAADAQQAAgD8AAJBBAABAQgAAAAAAAPBBAACoQQAAQMAAACjCAAA0QgAAQMEAAJpCAAD4QQAAAEIAAIRCAACMwgAAhkIAAKDBAACAwAAAAMIAAJhBAACYQQAAhkIAACzCAADwwQAAYEIAAKDBAAC4wQAAbEIAAIC_AABgwQAAXEIAALRCAADwwQAAgkIAAGBBAAA0wgAA4MAAAJDCAACAQgAAQEAAABRCAACAwQAAIMIAAODAAACAPwAA4MEAAEBBAACgwAAAsMEAAOhBAADgwAAAwEEAAHhCAADYwQAAOMIAAILCAACgwAAAiMEAAHBBAAAAQAAAeEIAADzCAAAMwgAAiEEAAIC_AACYQQAABEIAAOhBAAA4wgAAoEAAAETCAAAMwgAAwMAAAMjBAAD4QQAAgMEAAFBCAADwQQAAQMIAAABBAABAQAAAoMEAAK7CAAB4QgAASMIAABDBAAA0QgAAbEIAABBCAACyQgAAkEEAABhCAAA8wgAAQMIAAKDAAACQwQAAkkIAABBBAACGwgAAPMIAAADBAACgwQAAwEAAAGBBAACAwAAAYEEAAIA_AAAAwgAAMEIAAPhBAABUwgAAgL8AAADCAAAQQQAAJMIAADzCAABgwgAAgMAAAEDAAADgwAAA4EAAACBCAABowgAAQMIAAKDAAAA0wgAAYEEAAFDCAAAkwgAALEIAACBBAADgQQAAnMIAAEDCAACGQgAApkIAAJ7CAAAwQgAAgsIAAFTCAACowQAAHMIgADgTQAlIdVABKo8CEAAagAIAAMi9AABwvQAAoj4AABQ-AADovQAAXD4AAFy-AADmvgAAMD0AABA9AAC6PgAAQDwAAIC7AAA8PgAAcL0AALi9AAAUPgAAoLwAAIC7AACCPgAAfz8AAKg9AAAMvgAAJD4AAEC8AADgvAAALL4AAJi9AABwPQAADD4AAKA8AAAwPQAAHL4AABw-AABAPAAAJL4AAKA8AACIvQAAsr4AAGS-AABwPQAAcL0AAIA7AADYvQAADL4AAAy-AABkPgAAcD0AAMi9AABsvgAAUL0AADw-AACyPgAA2D0AAK6-AACgPAAAHz8AAIg9AABsPgAAJD4AALi9AACgPAAAgDsAAJi9IAA4E0AJSHxQASqPAhABGoACAACYvQAAuD0AAEA8AAAVvwAAUD0AABQ-AADYPQAA2L0AAES-AADuPgAAUD0AAOC8AABsPgAABL4AABS-AACgPAAAoLwAAE8_AAA8vgAAVD4AANi9AACYvQAAyD0AABC9AABwvQAA6D0AAKC8AACIPQAABD4AAOC8AACYPQAAUL0AAFA9AABEvgAAyL0AAFA9AAAQvQAADD4AAIA7AAAcvgAAjj4AAOC8AABAPAAAfL4AAAy-AAAwvQAAf78AAEC8AADgPAAARD4AAJI-AADgPAAAfD4AAAQ-AACYvQAAQLwAAKi9AACoPQAAbL4AAEA8AABwPQAAEL0AAHA9AADgvCAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=T9UHBhdR9To","parent-reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["8395011945716820038"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"12437231626996307033":{"videoId":"12437231626996307033","docid":"34-10-5-Z80151FF1C7E26339","description":"십여 년 전까지 교육 과정에 순서도(flow chart)가 있었습니다. 수학자 알 콰리즈미가 어원인 '알고리즘'을 나타내는 그림인데요. 이번 영상에서는 "100명 한도로 소개받고 결혼하는 알고리즘"을 순서도로 만들어 보겠습니다 ✈ ✍🏽 철벽수학 홈페이지 https://www.cbmath.com 📕 매스프레소 책 (...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1770043/d94833201ca468c1ad2e0ac35050e968/564x318_1"},"target":"_self","position":"14","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DvNhED90NPCY","linkTemplate":"/video/preview/12437231626996307033?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"\"100번 안에 결혼하는\" 알고리즘","related_orig_text":"매스프레소 MathPresso","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"매스프레소 MathPresso\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=vNhED90NPCY\",\"src\":\"serp\",\"rvb\":\"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_CDw8aDz8TMoIEJAGABCsqiwEQARp4gfb7-_v7BQD1_goMAgb9AfEF_wD6__4A_QQDAAIF_gDuBv7-A_8AAPcQB_QAAAAAAQcB_vL-AQAICgQCBAAAAP72A_kCAAAADAEBAf8BAAD9B_4GA_8AAA7-AQgAAAAA8BIEAgj07woCEAEHAAAAAPvt_v8AAAAAIAAtWZHiOzgTQAlITlACKnMQABpgDhsADQ8sFeAb_PEC_AYb-_74_9fq_wAU9QALEPT5D_f24P4H_wX_A-_XAAAACQH_HP0A5zIjD9sO8wr46d779Cl__Sr4JfcG_O0MFfX1AgsGDgX3APP-9vEWBRMFFu0RIAAtAbqUOzgTQAlIb1ACKq8GEAwaoAYAAHBBAACQQQAApEIAAOjBAACAwAAAgkIAAGRCAACewgAAxsIAAJDBAADAwAAAgEAAAKhBAABAwgAAqMEAAAAAAAAUQgAAZEIAAADCAADgwQAAIEIAALDBAACAwgAAkEEAAODBAAAwwgAARMIAACTCAADQQQAA4MAAABjCAACowQAAnsIAAABAAACIQQAA6EEAAMjBAAD4QQAAQMEAAHhCAACgQAAAgEEAAMBCAAC4QgAAgL8AAMDAAAAAQgAA6MEAAKhCAADoQQAAIMIAANhBAAAgQQAAkEEAAIBBAAAwQQAAqMIAABDCAAAAwAAAnEIAACBBAACowQAAIEEAAGBBAACIQQAAAMIAABhCAAAwQQAAQEAAAFBBAABsQgAAmEEAAJjBAAAIQgAAMEEAAFDCAADQwQAAMEEAAIA_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-AABQvQAAiD0AAJo-AACgPAAAEL0AAHQ-AAC4vQAAuL0AAAQ-AABwvQAAQLwAAII-AAB_PwAAED0AAJi9AADYPQAAMD0AAEC8AAA8vgAAqL0AAKA8AABEPgAA4DwAADA9AADovQAAJD4AAKC8AAA8vgAAoDwAAKi9AADGvgAARL4AAIA7AABAvAAAgLsAAPi9AAAsvgAABL4AAKI-AACgPAAA2L0AAGS-AAAQvQAAMD0AAK4-AAC4PQAAur4AAKA8AAARPwAAiD0AABQ-AABUPgAAiL0AAIg9AABQPQAAqL0gADgTQAlIfFABKo8CEAEagAIAAIi9AADoPQAAoDwAABm_AABAPAAA-D0AAJg9AAC4vQAARL4AANo-AABwPQAAUL0AAHQ-AAAMvgAA-L0AAEA8AABAvAAATT8AABS-AABMPgAAyL0AALi9AADoPQAAUL0AAHC9AADIPQAAEL0AABA9AAAcPgAA4LwAAHA9AACIvQAAUD0AAES-AADIvQAAcD0AAMi9AACoPQAA4DwAAAy-AABcPgAAQLwAAIA7AABkvgAAJL4AABC9AAB_vwAAQLwAAEA8AAAsPgAAjj4AAKA8AABUPgAAJD4AAKi9AACAuwAAqL0AAMg9AABsvgAAgLsAAFA9AABwvQAAqD0AAHC9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=vNhED90NPCY","parent-reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["12437231626996307033"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"11808944032054397625":{"videoId":"11808944032054397625","docid":"34-0-9-Z93B16B61B2995E52","description":"이공대생 멘탈을 탈탈 털어주는 "엡실론-델타 논법" 클리어 ✍🏽 철벽수학 홈페이지 https://www.cbmath.com 📕 매스프레소 책 (교보/yes24/알라딘 外) https://bit.ly/4cJRHSK ☕️ 매스프레소 블로그 https://blog.naver.com/mathbsm [ TAG ] #엡실론델타논법 #코시 #바이어...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2836824/a28c97e2fefd0eeefd3e2d576b7037c0/564x318_1"},"target":"_self","position":"15","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DMic20EMYMMA","linkTemplate":"/video/preview/11808944032054397625?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"이공대 멘탈 일급 털이범","related_orig_text":"매스프레소 MathPresso","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"매스프레소 MathPresso\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Mic20EMYMMA\",\"src\":\"serp\",\"rvb\":\"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_CDw8aDz8TN4IEJAGABCsqiwEQARp4gff-_AD-AwD7_g0E-wb9AvEK-fv5_v0AAf0G-wMF_gDoBPoGCf8AAPoQA_4GAAAAAQgB_vL-AQANAgb9_QAAAAD3_QEBAAAADAEBAf8BAAD-BwMAAv8AAA7-AQgAAAAA7xIEAgn07woFDfkDAAAAAPji-_wBAAAAIAAtAFPbOzgTQAlITlACKnMQABpgGx0ADxI0GdMVAegB__kU-_rt_9DdBwAc7QASCenzEu7z2gMA_wr_A_LMAAAADPr5IQcA00MmCc4F-Ajw69kB9TF_7ysBKvMM8dsUIt0GBxsEF_gLAO386ewI_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-AAAQPQAAMD0AALY-AABAPAAAgLsAADw-AABQvQAAqL0AABQ-AACgvAAAQLwAAHw-AAB_PwAAqD0AAAy-AAAsPgAAoLwAAOC8AAAsvgAAqL0AAHA9AAAMPgAAQDwAABA9AAAcvgAAJD4AAKA8AAAsvgAAoDwAAIi9AACyvgAAXL4AAHA9AABwvQAAgLsAANi9AAAMvgAAFL4AAGw-AABQPQAAyL0AAHy-AAAwvQAARD4AALI-AADIPQAArr4AAKA8AAAdPwAAiD0AAHQ-AAAsPgAAyL0AAKA8AACAOwAAmL0gADgTQAlIfFABKo8CEAEagAIAAJi9AACIPQAAQDwAABO_AABQPQAAHD4AAOg9AADIvQAAPL4AAOo-AAAwPQAA4LwAAHQ-AAAEvgAAFL4AAKA8AACAuwAATz8AAES-AABMPgAA6L0AAJi9AADoPQAAEL0AAHC9AAD4PQAAEL0AAHA9AAAUPgAAML0AAIg9AABwvQAAED0AAFS-AACovQAAUD0AAKC8AAD4PQAAQDwAACS-AACSPgAAoLwAAEA8AAB8vgAAFL4AADC9AAB_vwAAoLwAAEA8AAA8PgAAkj4AABA9AAB8PgAADD4AAIi9AABAvAAAqL0AAJg9AABkvgAAgDsAAIg9AAAQvQAAUD0AADC9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=Mic20EMYMMA","parent-reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["11808944032054397625"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false},"10993437645077590100":{"videoId":"10993437645077590100","docid":"34-2-8-Z561EDF52DD51CD38","description":"제주항공 여객기 참사 희생자를 애도합니다. 다사다난했던 2024년이 끝나갑니다 ! 2025년에 태어날 신생아 중 머리숱이 같은 .... 🎬 ✍🏽 철벽수학 홈페이지 https://www.cbmath.com 📕 매스프레소 책 (교보/yes24/알라딘 外) https://bit.ly/4cJRHSK ☕️ 매스프레소 블로그...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2810927/e4728eed51170a32e78c33613b13afca/564x318_1"},"target":"_self","position":"16","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DdrFtHOIcdFg","linkTemplate":"/video/preview/10993437645077590100?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"머리숱이 같은 동갑","related_orig_text":"매스프레소 MathPresso","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"매스프레소 MathPresso\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=drFtHOIcdFg\",\"src\":\"serp\",\"rvb\":\"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_CDw8aDz8TNIIEJAGABCsqiwEQARp4gff-_AD-AwD7_g0E-wb9AvEK-fv5_v0AAf0G-wMF_gDoBPoGCf8AAPoQA_4GAAAAAQgB_vL-AQANAgb9_QAAAAD3_QEBAAAADAEBAf8BAAD-BwMAAv8AAA7-AQgAAAAA7xIEAgn07woFDfkDAAAAAPji-_wBAAAAIAAtAFPbOzgTQAlITlACKnMQABpgGh4ADhAxFdcVAe4E__sS-vrtANPfBwAa7wAPCOryEu_23QMB_wgAAfTQAAAACvv6IAQA1T0hCNMA-Qnx7dwD8yp_8ygBJ-8M-N0OIN0GBhUHF_kIAPH97fAK_hMFGfocIAAtsZWFOzgTQAlIb1ACKq8GEAwaoAYAAPhBAACwQQAA0MEAAMhBAABIwgAAqEIAAEhCAAAgwQAA4MEAAPDBAACwQQAAiMEAAKDCAAAYwgAAikIAAIjBAAAYwgAAYEEAAFTCAAAcwgAAAEIAAODAAACQwQAA0EEAAKDAAACowQAAQMEAAAjCAAA0QgAAiEEAAGDBAACIQQAArMIAAIjBAAD4wQAA2EEAAGDBAACgQgAAiMEAAKhBAAAYQgAAAAAAAIBCAACaQgAATEIAAAAAAACWwgAARMIAAJhCAABwwQAA6MEAAJBCAADgwAAA4EAAAKBAAAAcQgAAAMMAAEBAAABQwQAA-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-AAAQPQAAiD0AALo-AACAOwAAgDsAADw-AABwvQAAqL0AABQ-AABAvAAAgDsAAHw-AAB_PwAAqD0AABS-AAA0PgAAoLwAAOC8AAA0vgAAmL0AAHA9AAAUPgAAQDwAAKA8AAAcvgAAJD4AAEA8AAAsvgAAoDwAAKi9AACuvgAAXL4AAFA9AACYvQAAgDsAANi9AAAMvgAAFL4AAFQ-AACIPQAAyL0AAGy-AAAQvQAARD4AAK4-AADYPQAAsr4AAKA8AAAdPwAAcD0AAII-AAAkPgAAuL0AAEA8AABAPAAAqL0gADgTQAlIfFABKo8CEAEagAIAAFC9AAAwPQAAgLsAABW_AABwPQAAJD4AANg9AAC4vQAANL4AAN4-AAAQPQAAoLwAAII-AAD4vQAABL4AAKA8AACAuwAATz8AAEy-AABUPgAABL4AAFC9AADoPQAA4LwAAHC9AADoPQAAgLsAAFA9AAAcPgAA4LwAAJg9AABQvQAAMD0AAES-AADYvQAAUD0AAOC8AAAMPgAAgLsAACy-AACKPgAAQLwAAOA8AABsvgAADL4AABC9AAB_vwAAQDwAAOA8AAA0PgAAij4AAKA8AAB8PgAA-D0AAIi9AACAuwAAiL0AAIg9AABUvgAAQDwAAKg9AABQvQAAED0AAFC9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=drFtHOIcdFg","parent-reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["10993437645077590100"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false},"14370063524525688731":{"videoId":"14370063524525688731","docid":"34-5-17-Z1188668A2E187B91","description":"직각삼각형의 세 변 중 하나 이상은 [ ]의 배수? (세 변 길이는 자연수) ※ 동양북스의 지원을 받아 제작된 영상입니다. ✍🏽 철벽수학 홈페이지 https://www.cbmath.com 📕 매스프레소 책 (교보/yes24/알라딘 外) https://bit.ly/4cJRHSK ☕️ 매스프레소 블로그...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3743849/35b0e59d5bd022cf5fe942b8eb3a50c0/564x318_1"},"target":"_self","position":"17","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dj_hGkv04Cpg","linkTemplate":"/video/preview/14370063524525688731?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"직각삼각형에서 거의 모르는 것!","related_orig_text":"매스프레소 MathPresso","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"매스프레소 MathPresso\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=j_hGkv04Cpg\",\"src\":\"serp\",\"rvb\":\"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_CDw8aDz8TTYIEJAGABCsqiwEQARp4gff-_AD-AwD7_g0E-wb9AvEK-fv5_v0AAf_-_gIF_gDtB_3-A_8AAPoQA_4GAAAAAQgB_vL-AQANAgb9_QAAAAD3_QEBAAAADAEBAf8BAAD8CP4GBP8AAA7-AQgAAAAA8gsCAQT5-AUFDfkDAAAAAPji-_wBAAAAIAAtAFPbOzgTQAlITlACKnMQABpgGxwADxIzGNgUAOoA__sT-vzu_9LhBQAb7wASCez0EfHz3AEC_wn-A_PPAAAACvz7HgYA1j4iCNEI9wvw69gB9C9_8in_J_IM9OAUHuEECRQFFPoGAPD97-wK_hYKHvYbIAAtwXiDOzgTQAlIb1ACKq8GEAwaoAYAAARCAABAQQAA-EEAANDBAACAvwAAZEIAAGRCAADAwQAA0MIAAOBAAAAQwQAAUMEAALDBAAAAwgAAoMAAAEDBAACAQAAAgEAAADDCAAC4wQAAjkIAAMDBAACYwgAAGEIAAADCAAAUwgAAvsIAAODAAACYQQAAiEEAAKDBAABQwgAAgMIAAABCAAAoQgAAgEEAALDBAACEQgAAoMEAACxCAAD4QQAAwEAAAHxCAAB0QgAAyEEAAABAAACgQQAAVMIAALpCAAA4QgAA8MEAABBBAADAwAAAAMAAAHDBAAAQQQAAgsIAAGDBAADYwQAAdEIAACBCAAAwwQAAgD8AAFDBAADAwAAAUMEAADRCAACowQAAgMAAAADAAAAAQgAAAEEAADTCAACqQgAASEIAAGzCAAC4wQAAcEEAALhBAADYQQAAQMEAAMDAAACAPwAAZMIAALjBAACgwAAAYEEAAKDBAACYQQAA_EIAAPDBAAAEQgAAwEAAALbCAACewgAACMIAAERCAAD4wQAAAMEAAKDAAAAAQAAAVEIAAJBBAABwQQAAuMEAABTCAACwQQAAoEEAAARCAADQwQAAlEIAAPBBAAAcwgAAFEIAAOhBAAAAAAAADEIAAGjCAAAEQgAAQMEAAGhCAAAYQgAAAMEAAOjBAAAcQgAAwEEAAEjCAAAAQQAAqsIAAIBAAAAIQgAAAMAAAExCAAA4QgAAPMIAAIC_AAA4wgAAgMEAABjCAABUwgAA-MEAAFhCAACQwQAAwEAAAMhBAACgQQAAwMAAAJBBAACoQQAAwEEAAKBAAACuwgAADEIAAPjBAACYQQAAEEEAAJDCAADIwQAAiMIAAMBAAADQQQAAAEEAAHBBAAAoQgAAIMEAAPDBAABEQgAAmEEAAJjBAABcQgAAUMIAAPBBAACCwgAAmMEAABjCAABAwQAAoMIAAJjCAABwwQAAQEIAAMbCAABwQQAABEIAAMDBAABkQgAArsIAABDBAABYQgAA6MEAAMBBAACYQQAAPMIAABhCAAA4QgAAOMIAAEBAAABgwgAAFMIAAFDCAACQwSAAOBNACUh1UAEqjwIQABqAAgAAuL0AAHC9AACiPgAADD4AANi9AABsPgAAZL4AAOa-AABQPQAAED0AALo-AABAPAAAgLsAADw-AABwvQAAqL0AABQ-AADgvAAAoLwAAHw-AAB_PwAAuD0AAAy-AAAkPgAAoLwAAOC8AAAsvgAAmL0AAHA9AAAEPgAAoDwAAOA8AAAUvgAAHD4AAKA8AAAkvgAAoDwAAIi9AACyvgAAZL4AAFA9AABwvQAAgDsAANi9AAAcvgAAFL4AAHw-AABwPQAAuL0AAHS-AABQvQAAND4AALI-AADYPQAAsr4AAKA8AAAfPwAAcD0AAGw-AAAcPgAA2L0AAEA8AACAOwAAmL0gADgTQAlIfFABKo8CEAEagAIAAIi9AACYPQAAQDwAABO_AAAwPQAA-D0AAKg9AADYvQAATL4AAOo-AABQPQAA4LwAAHw-AAAUvgAABL4AAEA8AABAvAAATT8AACy-AABUPgAAuL0AAJi9AADYPQAAUL0AADC9AADoPQAAoLwAAFA9AAAMPgAA4LwAAIg9AACIvQAAUD0AAEy-AAC4vQAAiD0AADC9AAAEPgAAQDwAABS-AACKPgAAoLwAAKA8AAB0vgAAFL4AAFC9AAB_vwAAoLwAAIC7AAA0PgAAjj4AAEA8AABsPgAA-D0AAKi9AABAvAAAqL0AAKg9AABsvgAAgDsAAFA9AAAQvQAAiD0AABC9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=j_hGkv04Cpg","parent-reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["14370063524525688731"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"7215722560669900812":{"videoId":"7215722560669900812","docid":"34-7-6-ZE138BDE058C51420","description":"질문만 잘 했을 뿐인데, 50년 후 노벨상을 탄 사람이 있습니다. 누구?? 영상에서 만나보시죠 😊✈ ✍🏽 철벽수학 홈페이지 https://www.cbmath.com 📕 매스프레소 책 (교보/yes24/알라딘 外) https://bit.ly/4cJRHSK ☕️ 매스프레소 블로그 https://blog.naver.com/mathbsm [ TAG...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4068145/7b64c9304920f74cd13bb058129a8197/564x318_1"},"target":"_self","position":"18","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D3to66LMx37A","linkTemplate":"/video/preview/7215722560669900812?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"질문만 잘해도 노벨상 가능 ?!","related_orig_text":"매스프레소 MathPresso","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"매스프레소 MathPresso\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=3to66LMx37A\",\"src\":\"serp\",\"rvb\":\"EqsDChQxNTY5NDE1MzEzMzMwNjMzODI2OAoUMTQ1NDU5NjI1MzQ1MDUxNDMzMDcKFDEwNjg0MjA2OTk4MDgwMDI3NDg1ChMxNjkxMDY2NTg3NDk2NjQ3MjYzChM4ODEyNTI4NDM5ODI4NTMwMTgwChMzMTI4ODYxNTIxNDgzMDE2NzUwChM5Njc2NjA3OTM2NzkyMzU5Mjk2ChM3OTAyNjkzOTEwNTIwNzI4NTM1ChM0NTAzODI0MjA2NjkxNTY4ODY4ChM2NTkzMjUyNTcxMTY2MzIyMzU1ChI2NDQ1NjIwMTg1Mjg5MjAzNTcKEzgzOTUwMTE5NDU3MTY4MjAwMzgKFDEyNDM3MjMxNjI2OTk2MzA3MDMzChQxMTgwODk0NDAzMjA1NDM5NzYyNQoUMTA5OTM0Mzc2NDUwNzc1OTAxMDAKFDE0MzcwMDYzNTI0NTI1Njg4NzMxChM3MjE1NzIyNTYwNjY5OTAwODEyChM4NzAwNDEzOTY0MDYyNDk0NDk3ChM2Nzg1MTAwMzEzNzQ4MjA5Njc1ChQxNzE5Mzk5ODU3NjI5MzAwNzk1NxoVChM3MjE1NzIyNTYwNjY5OTAwODEyWhM3MjE1NzIyNTYwNjY5OTAwODEyaq4NEgEwGAAiRBoxAAoqaGh0bWR0Z3lycGpiZW1hYmhoVUNUTERhVW53TTRycG10Tlo0VldueUh3EgIAEioPwg8PGg8_EzCCBCQBgAQrKosBEAEaeIH3_vwA_gMA-_4NBPsG_QLxCvn7-f79AAH__v4CBf4A6AT6Bgn_AAD6EAP-BgAAAAEIAf7y_gEADQIG_f0AAAAA9_0BAQAAAAwBAQH_AQAA_gcDAAL_AAAO_gEIAAAAAO8SBAIJ9O8KBQ35AwAAAAD44vv8AQAAACAALQBT2zs4E0AJSE5QAipzEAAaYBkdAA4TMRjXGf3o_v3-EvoB8PjU4wcAGu4ADwXt-A_z9Nz_BP8PAAT10AAAAAr79RsIANs-KAjPBPQL9ObY_PItf_QoBSr0B_TiECnhBgYXABH5DADt_e7tCPoSCxbxGyAALY66gzs4E0AJSG9QAiqvBhAMGqAGAADQwQAAjEIAAGBCAABwQQAAHEIAAFBCAACYQgAAAMAAANrCAABswgAANEIAAGxCAADQwQAAGMIAAPBBAABgwQAA2MEAAFDBAADowQAA4MAAAIZCAADgwAAAXMIAALZCAABkQgAAqMEAAAzCAABQwgAAgkIAAJpCAAAQQgAAuMEAANDBAADQQQAA0EEAANBBAACgQAAAMEIAAJjBAACYQQAAwEAAAADBAAAgwQAAAEIAAGBCAADAQQAA4EAAALrCAADAQgAA0EEAAODAAACIQQAAwEEAAPBBAABcwgAAUMEAAADCAACgQAAAEMEAACBBAAAYQgAA0EEAAIBBAADgwQAAgL8AAILCAADoQQAAMEEAAAzCAAAkwgAAAMEAAJpCAACGwgAA-EIAAEBAAACQwQAAgMIAACBCAAAgQgAABEIAAKBBAACwwQAA0EEAABDCAACcQgAAAEIAALDBAACAQAAAYEIAAMBBAAAAwQAA4EEAAJZCAAAAQAAAyMEAAJzCAADwQQAAgEEAABBBAAAgwQAA0MEAACBBAAA4QgAAGMIAAGjCAAAgwQAAEMEAAOBAAACgwQAAAEEAAFhCAAAQQQAAyMIAAAzCAAB8QgAAgkIAAKDBAADYwQAAAEIAAKDBAAAsQgAAwMEAALhBAABQwQAAAEEAACBCAAAkwgAATMIAABDCAABEwgAAIEEAAADCAADYwQAA4EEAAChCAACAwQAAEEIAAGjCAACywgAAJMIAADRCAACOQgAAhkIAADBBAABwQQAAJMIAAEBAAABAQgAAoEAAAIA_AAD4wQAAIEIAALBBAABwQQAAoEAAAEBCAABwwQAAwMEAAGzCAAAkQgAAoEEAAOhBAADIwQAAwEAAAEBCAABwwQAABEIAAHDBAAAIQgAAYMEAACzCAACYQQAAHMIAAAzCAAC4QQAAgMEAACDBAAAswgAA8EEAAFxCAACIwQAAbMIAAHDBAACIwQAAgD8AAK7CAAAwwgAAREIAABBCAADwQQAAIMIAAEDAAACAPwAA-EEAACDBAABAwQAAEMIAAHDCAACgQAAAAMEgADgTQAlIdVABKo8CEAAagAIAALi9AABwvQAAoj4AABQ-AADovQAAZD4AAGS-AADivgAAMD0AADA9AAC6PgAAoDwAAIC7AABEPgAAUL0AAJi9AAAMPgAAoLwAAKC8AACCPgAAfz8AALg9AAAMvgAAND4AAKC8AACgvAAALL4AAKi9AACIPQAADD4AAEA8AAAQPQAAHL4AABw-AABAPAAAJL4AAKA8AACIvQAArr4AAGS-AABQPQAAiL0AAEC8AADIvQAADL4AABy-AABsPgAAUD0AANi9AAB8vgAAML0AAEQ-AAC2PgAA2D0AALK-AACgPAAAHT8AAJg9AAB0PgAAJD4AAMi9AACgPAAAQDwAAKi9IAA4E0AJSHxQASqPAhABGoACAACYvQAAyD0AAEA8AAARvwAAMD0AABQ-AADYPQAA6L0AAES-AAD2PgAAcD0AAOC8AAB8PgAABL4AABy-AADgPAAAgLsAAE0_AABEvgAAVD4AAMi9AACIvQAA6D0AABC9AABQvQAA-D0AAKC8AACIPQAABD4AABC9AACoPQAAcL0AADA9AABMvgAA6L0AAIg9AAAQvQAADD4AAOA8AAAkvgAAkj4AAKC8AACAuwAAfL4AAAS-AAAwvQAAf78AAKC8AABAPAAATD4AAJ4-AAAQPQAAdD4AABQ-AAC4vQAAgLsAALi9AADIPQAAdL4AAEA8AABwPQAAEL0AAIg9AAAwvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=3to66LMx37A","parent-reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["7215722560669900812"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"8700413964062494497":{"videoId":"8700413964062494497","docid":"34-1-15-ZB872BB0D24201225","description":"기원전 전설의 수학자 아르키메데스는 포물선으로 빛을 모아 로마의 배를 태웠다고 하는데, 수학적으로 이게 가능한지 살펴 보겠습니다 😱🚘✈ (단, 물리적으로는 당연히 한계가 명확합니다.) ※ 영상 제작 방식은 공유하지 않습니다. ✍🏽 철벽수학 홈페이지 https://www.cbmath.com 📕 매스프레소 책 (교보/yes24/알라딘 外)...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1572830/d40001f38356a776762aac05a9dcabb1/564x318_1"},"target":"_self","position":"19","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DqkIaF5KWugI","linkTemplate":"/video/preview/8700413964062494497?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"포물선으로 태울 수 있는 것","related_orig_text":"매스프레소 MathPresso","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"매스프레소 MathPresso\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=qkIaF5KWugI\",\"src\":\"serp\",\"rvb\":\"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_EzGCBCQBgAQrKosBEAEaeIH0__4F-wYA-_4NBPsG_QLyCfn8-v79AAH9BvsDBf4A6QT6Bgj_AAD6DwP-BgAAAAEHAf7y_gEADAIG_f0AAAAA-P0BAQAAAAwBAQH_AQAA_gcDAAL_AAAO_gEIAAAAAPASBAII9O8KBQz6AgAAAAD77f7_AAAAACAALU8Y5Ds4E0AJSE5QAipzEAAaYBgbAA0QLxfUEwHpBf75Efn57gHT3AcAHO4AEAnp8hLx8uEDAf8IAgb10AAAAAv8-x8GANU9JQfRA_cH9vDf_vgtf_AmACPvDO7eEhraBQAXBxP_BwDv-_fsCP4TAxn_GCAALRkNhjs4E0AJSG9QAiqvBhAMGqAGAACQQQAA2MEAAEBCAABwwQAAyMEAAFBCAAAcQgAA-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_AAAwQgAA6EEAADDBAACIQQAA8EEAACDCAADwwQAA2EEAAAxCAADAQAAAgL8AANhBAACMwgAAgEAAAKTCAAAcQgAA2EEAADBBAABgQQAAuMEAAIC_AACgQAAA0MEAAAjCAAAIwgAAEMEAAHTCAAAoQgAAMMIAAHDBAABwQQAABEIAAJDBAAC4QQAAcMEAAOBBAACGQgAAYMIAAOBBAABAwQAAAEEAAKhBAACmwgAAmMIAAATCAADgQQAAQEAAANBBAACAwQAA-EEAAEBBAABgQQAANEIAAJBBAACgQgAAOEIAACTCAABwQQAA8MEAACzCAAAAwQAANMIAAFzCAADwwQAA4MEAADBCAAA0wgAALMIAAJjBAAAQwgAAUEEAADTCAABgwQAAoEIAABTCAAAwwQAAgMAAAAzCAADwQQAAKEIAAIDCAABQQgAAwEAAAI7CAACGwgAALMIgADgTQAlIdVABKo8CEAAagAIAANi9AACIvQAApj4AAPg9AACovQAAbD4AAES-AADuvgAAUD0AABA9AADCPgAAoDwAAIC7AAA0PgAA4LwAALi9AAAcPgAAoLwAAOC8AACGPgAAfz8AALg9AAAMvgAAJD4AAOC8AADgvAAAFL4AAMi9AAAwPQAAHD4AAOA8AACIPQAAFL4AABQ-AACAOwAAFL4AAIC7AACIvQAAtr4AAGS-AABQPQAAUL0AAIC7AADovQAAHL4AAPi9AACGPgAAqD0AAPi9AACKvgAAmL0AADQ-AAC2PgAABD4AALa-AACgPAAAJT8AAOA8AABkPgAAND4AAKi9AABAPAAAgLsAAHC9IAA4E0AJSHxQASqPAhABGoACAACYvQAAiD0AAFA9AAAPvwAAiD0AANg9AAAwPQAAmL0AADS-AADqPgAAED0AAKA8AACaPgAA2L0AADS-AACgPAAAQLwAAFM_AAA8vgAATD4AAAS-AACYvQAA6D0AADC9AABQvQAAyD0AAOA8AACYPQAARD4AAEC8AACIPQAAcL0AAOA8AAAsvgAA6L0AAJg9AAAQvQAAFD4AABA9AAAsvgAAjj4AAIi9AADgvAAAfL4AABS-AACovQAAf78AAEA8AACgvAAATD4AAIo-AAAwPQAAbD4AABQ-AADYvQAAgDsAAMi9AACoPQAAbL4AAIC7AAAQPQAAuL0AAHA9AACovSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=qkIaF5KWugI","parent-reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["8700413964062494497"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false}},"dups":{"15694153133306338268":{"videoId":"15694153133306338268","title":"[고딩버전] 죄수의 딜레마","cleanTitle":"[고딩버전] 죄수의 딜레마","host":{"title":"YouTube","href":"http://www.youtube.com/shorts/G99-LE3M5co","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/G99-LE3M5co?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDVExEYVVud000cnBtdE5aNFZXbnlIdw==","name":"매스프레소 MathPresso","isVerified":false,"subscribersCount":0,"url":"/video/search?text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","origUrl":"http://www.youtube.com/@MathPresso","a11yText":"매스프레소 MathPresso. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":122,"text":"2:02","a11yText":"Süre 2 dakika 2 saniye","shortText":"2 dk."},"views":{"text":"10,2bin","a11yText":"10,2 bin izleme"},"date":"14 mar 2025","modifyTime":1741910400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/G99-LE3M5co?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=G99-LE3M5co","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","duration":122},"parentClipId":"15694153133306338268","href":"/preview/15694153133306338268?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","rawHref":"/video/preview/15694153133306338268?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"14545962534505143307":{"videoId":"14545962534505143307","title":"수학자 묘비문 클라스","cleanTitle":"수학자 묘비문 클라스","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=nKLSQEz2wEw","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/nKLSQEz2wEw?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDVExEYVVud000cnBtdE5aNFZXbnlIdw==","name":"매스프레소 MathPresso","isVerified":false,"subscribersCount":0,"url":"/video/search?text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","origUrl":"http://www.youtube.com/@MathPresso","a11yText":"매스프레소 MathPresso. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":49,"text":"00:49","a11yText":"Süre 49 saniye","shortText":""},"views":{"text":"15,8bin","a11yText":"15,8 bin izleme"},"date":"4 oca 2025","modifyTime":1735948800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/nKLSQEz2wEw?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=nKLSQEz2wEw","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","duration":49},"parentClipId":"14545962534505143307","href":"/preview/14545962534505143307?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","rawHref":"/video/preview/14545962534505143307?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"10684206998080027485":{"videoId":"10684206998080027485","title":"원주율 π=2 라고 ?!","cleanTitle":"원주율 π=2 라고 ?!","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=i2G63Zk6gQw","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/i2G63Zk6gQw?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDVExEYVVud000cnBtdE5aNFZXbnlIdw==","name":"매스프레소 MathPresso","isVerified":false,"subscribersCount":0,"url":"/video/search?text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","origUrl":"http://www.youtube.com/@MathPresso","a11yText":"매스프레소 MathPresso. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":54,"text":"00:54","a11yText":"Süre 54 saniye","shortText":""},"views":{"text":"9,4bin","a11yText":"9,4 bin izleme"},"date":"20 ara 2024","modifyTime":1734652800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/i2G63Zk6gQw?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=i2G63Zk6gQw","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","duration":54},"parentClipId":"10684206998080027485","href":"/preview/10684206998080027485?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","rawHref":"/video/preview/10684206998080027485?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"1691066587496647263":{"videoId":"1691066587496647263","title":"실수개수 vs 우주원자개수","cleanTitle":"실수개수 vs 우주원자개수","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=wDVeY6fTUog","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/wDVeY6fTUog?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDVExEYVVud000cnBtdE5aNFZXbnlIdw==","name":"매스프레소 MathPresso","isVerified":false,"subscribersCount":0,"url":"/video/search?text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","origUrl":"http://www.youtube.com/@MathPresso","a11yText":"매스프레소 MathPresso. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":60,"text":"1:00","a11yText":"Süre 1 dakika","shortText":"1 dk."},"views":{"text":"23,3bin","a11yText":"23,3 bin izleme"},"date":"11 kas 2024","modifyTime":1731283200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/wDVeY6fTUog?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=wDVeY6fTUog","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","duration":60},"parentClipId":"1691066587496647263","href":"/preview/1691066587496647263?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","rawHref":"/video/preview/1691066587496647263?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8812528439828530180":{"videoId":"8812528439828530180","title":"잘 까먹는 공식 1위는??","cleanTitle":"잘 까먹는 공식 1위는??","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Tnpl5tVOA3A","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Tnpl5tVOA3A?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDVExEYVVud000cnBtdE5aNFZXbnlIdw==","name":"매스프레소 MathPresso","isVerified":false,"subscribersCount":0,"url":"/video/search?text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","origUrl":"http://www.youtube.com/@MathPresso","a11yText":"매스프레소 MathPresso. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":37,"text":"00:37","a11yText":"Süre 37 saniye","shortText":""},"views":{"text":"43bin","a11yText":"43 bin izleme"},"date":"31 oca 2025","modifyTime":1738281600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Tnpl5tVOA3A?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Tnpl5tVOA3A","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","duration":37},"parentClipId":"8812528439828530180","href":"/preview/8812528439828530180?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","rawHref":"/video/preview/8812528439828530180?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"3128861521483016750":{"videoId":"3128861521483016750","title":"제대로 답변한 사람 못 본 문제","cleanTitle":"제대로 답변한 사람 못 본 문제","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=CSeMbutPtIk","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/CSeMbutPtIk?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDVExEYVVud000cnBtdE5aNFZXbnlIdw==","name":"매스프레소 MathPresso","isVerified":false,"subscribersCount":0,"url":"/video/search?text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","origUrl":"http://www.youtube.com/@MathPresso","a11yText":"매스프레소 MathPresso. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":52,"text":"00:52","a11yText":"Süre 52 saniye","shortText":""},"views":{"text":"17,6bin","a11yText":"17,6 bin izleme"},"date":"10 mar 2025","modifyTime":1741564800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/CSeMbutPtIk?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=CSeMbutPtIk","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","duration":52},"parentClipId":"3128861521483016750","href":"/preview/3128861521483016750?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","rawHref":"/video/preview/3128861521483016750?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"9676607936792359296":{"videoId":"9676607936792359296","title":""자연수의 역수의 합" 가능 ??","cleanTitle":""자연수의 역수의 합" 가능 ??","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=ZH5mmmo9WNk","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/ZH5mmmo9WNk?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDVExEYVVud000cnBtdE5aNFZXbnlIdw==","name":"매스프레소 MathPresso","isVerified":false,"subscribersCount":0,"url":"/video/search?text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","origUrl":"http://www.youtube.com/@MathPresso","a11yText":"매스프레소 MathPresso. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":50,"text":"00:50","a11yText":"Süre 50 saniye","shortText":""},"views":{"text":"21,2bin","a11yText":"21,2 bin izleme"},"date":"15 şub 2025","modifyTime":1739577600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/ZH5mmmo9WNk?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=ZH5mmmo9WNk","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","duration":50},"parentClipId":"9676607936792359296","href":"/preview/9676607936792359296?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","rawHref":"/video/preview/9676607936792359296?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"7902693910520728535":{"videoId":"7902693910520728535","title":"중선정리 암기법","cleanTitle":"중선정리 암기법","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=dZFdMh2slOU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/dZFdMh2slOU?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDVExEYVVud000cnBtdE5aNFZXbnlIdw==","name":"매스프레소 MathPresso","isVerified":false,"subscribersCount":0,"url":"/video/search?text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","origUrl":"http://www.youtube.com/@MathPresso","a11yText":"매스프레소 MathPresso. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":36,"text":"00:36","a11yText":"Süre 36 saniye","shortText":""},"views":{"text":"21,4bin","a11yText":"21,4 bin izleme"},"date":"29 mar 2022","modifyTime":1648512000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/dZFdMh2slOU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=dZFdMh2slOU","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","duration":36},"parentClipId":"7902693910520728535","href":"/preview/7902693910520728535?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","rawHref":"/video/preview/7902693910520728535?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"4503824206691568868":{"videoId":"4503824206691568868","title":"사라진 사각형의 진실","cleanTitle":"사라진 사각형의 진실","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=lpfEh3Bx_3o","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/lpfEh3Bx_3o?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDVExEYVVud000cnBtdE5aNFZXbnlIdw==","name":"매스프레소 MathPresso","isVerified":false,"subscribersCount":0,"url":"/video/search?text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","origUrl":"http://www.youtube.com/@MathPresso","a11yText":"매스프레소 MathPresso. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":66,"text":"1:06","a11yText":"Süre 1 dakika 6 saniye","shortText":"1 dk."},"views":{"text":"12,5bin","a11yText":"12,5 bin izleme"},"date":"19 şub 2025","modifyTime":1739923200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/lpfEh3Bx_3o?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=lpfEh3Bx_3o","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","duration":66},"parentClipId":"4503824206691568868","href":"/preview/4503824206691568868?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","rawHref":"/video/preview/4503824206691568868?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"6593252571166322355":{"videoId":"6593252571166322355","title":"의외로 모르는 수학 용어 1위 !?","cleanTitle":"의외로 모르는 수학 용어 1위 !?","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=ZGxcXGWT5es","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/ZGxcXGWT5es?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDVExEYVVud000cnBtdE5aNFZXbnlIdw==","name":"매스프레소 MathPresso","isVerified":false,"subscribersCount":0,"url":"/video/search?text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","origUrl":"http://www.youtube.com/@MathPresso","a11yText":"매스프레소 MathPresso. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":50,"text":"00:50","a11yText":"Süre 50 saniye","shortText":""},"views":{"text":"27,2bin","a11yText":"27,2 bin izleme"},"date":"24 şub 2025","modifyTime":1740355200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/ZGxcXGWT5es?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=ZGxcXGWT5es","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","duration":50},"parentClipId":"6593252571166322355","href":"/preview/6593252571166322355?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","rawHref":"/video/preview/6593252571166322355?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"644562018528920357":{"videoId":"644562018528920357","title":""수학은 유전자" 증명","cleanTitle":""수학은 유전자" 증명","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=-NRC4IIq4HM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/-NRC4IIq4HM?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDVExEYVVud000cnBtdE5aNFZXbnlIdw==","name":"매스프레소 MathPresso","isVerified":false,"subscribersCount":0,"url":"/video/search?text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","origUrl":"http://www.youtube.com/@MathPresso","a11yText":"매스프레소 MathPresso. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":46,"text":"00:46","a11yText":"Süre 46 saniye","shortText":""},"views":{"text":"17,9bin","a11yText":"17,9 bin izleme"},"date":"1 oca 2025","modifyTime":1735689600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/-NRC4IIq4HM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=-NRC4IIq4HM","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","duration":46},"parentClipId":"644562018528920357","href":"/preview/644562018528920357?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","rawHref":"/video/preview/644562018528920357?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8395011945716820038":{"videoId":"8395011945716820038","title":"네 집합의 벤 다이어그램 ??!","cleanTitle":"네 집합의 벤 다이어그램 ??!","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=T9UHBhdR9To","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/T9UHBhdR9To?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDVExEYVVud000cnBtdE5aNFZXbnlIdw==","name":"매스프레소 MathPresso","isVerified":false,"subscribersCount":0,"url":"/video/search?text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","origUrl":"http://www.youtube.com/@MathPresso","a11yText":"매스프레소 MathPresso. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":46,"text":"00:46","a11yText":"Süre 46 saniye","shortText":""},"views":{"text":"56,3bin","a11yText":"56,3 bin izleme"},"date":"6 şub 2025","modifyTime":1738800000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/T9UHBhdR9To?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=T9UHBhdR9To","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","duration":46},"parentClipId":"8395011945716820038","href":"/preview/8395011945716820038?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","rawHref":"/video/preview/8395011945716820038?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"12437231626996307033":{"videoId":"12437231626996307033","title":""100번 안에 결혼하는" 알고리즘","cleanTitle":""100번 안에 결혼하는" 알고리즘","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=vNhED90NPCY","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/vNhED90NPCY?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDVExEYVVud000cnBtdE5aNFZXbnlIdw==","name":"매스프레소 MathPresso","isVerified":false,"subscribersCount":0,"url":"/video/search?text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","origUrl":"http://www.youtube.com/@MathPresso","a11yText":"매스프레소 MathPresso. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":50,"text":"00:50","a11yText":"Süre 50 saniye","shortText":""},"views":{"text":"3,2bin","a11yText":"3,2 bin izleme"},"date":"2 kas 2024","modifyTime":1730505600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/vNhED90NPCY?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=vNhED90NPCY","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","duration":50},"parentClipId":"12437231626996307033","href":"/preview/12437231626996307033?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","rawHref":"/video/preview/12437231626996307033?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"11808944032054397625":{"videoId":"11808944032054397625","title":"이공대 멘탈 일급 털이범","cleanTitle":"이공대 멘탈 일급 털이범","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Mic20EMYMMA","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Mic20EMYMMA?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDVExEYVVud000cnBtdE5aNFZXbnlIdw==","name":"매스프레소 MathPresso","isVerified":false,"subscribersCount":0,"url":"/video/search?text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","origUrl":"http://www.youtube.com/@MathPresso","a11yText":"매스프레소 MathPresso. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":55,"text":"00:55","a11yText":"Süre 55 saniye","shortText":""},"views":{"text":"64,8bin","a11yText":"64,8 bin izleme"},"date":"4 şub 2025","modifyTime":1738627200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Mic20EMYMMA?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Mic20EMYMMA","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","duration":55},"parentClipId":"11808944032054397625","href":"/preview/11808944032054397625?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","rawHref":"/video/preview/11808944032054397625?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"10993437645077590100":{"videoId":"10993437645077590100","title":"머리숱이 같은 동갑","cleanTitle":"머리숱이 같은 동갑","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=drFtHOIcdFg","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/drFtHOIcdFg?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDVExEYVVud000cnBtdE5aNFZXbnlIdw==","name":"매스프레소 MathPresso","isVerified":false,"subscribersCount":0,"url":"/video/search?text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","origUrl":"http://www.youtube.com/@MathPresso","a11yText":"매스프레소 MathPresso. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":52,"text":"00:52","a11yText":"Süre 52 saniye","shortText":""},"views":{"text":"3,8bin","a11yText":"3,8 bin izleme"},"date":"29 ara 2024","modifyTime":1735430400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/drFtHOIcdFg?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=drFtHOIcdFg","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","duration":52},"parentClipId":"10993437645077590100","href":"/preview/10993437645077590100?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","rawHref":"/video/preview/10993437645077590100?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"14370063524525688731":{"videoId":"14370063524525688731","title":"직각삼각형에서 거의 모르는 것!","cleanTitle":"직각삼각형에서 거의 모르는 것!","host":{"title":"YouTube","href":"http://www.youtube.com/shorts/j_hGkv04Cpg","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/j_hGkv04Cpg?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDVExEYVVud000cnBtdE5aNFZXbnlIdw==","name":"매스프레소 MathPresso","isVerified":false,"subscribersCount":0,"url":"/video/search?text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","origUrl":"http://www.youtube.com/@MathPresso","a11yText":"매스프레소 MathPresso. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":77,"text":"1:17","a11yText":"Süre 1 dakika 17 saniye","shortText":"1 dk."},"views":{"text":"11bin","a11yText":"11 bin izleme"},"date":"13 mar 2025","modifyTime":1741824000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/j_hGkv04Cpg?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=j_hGkv04Cpg","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","duration":77},"parentClipId":"14370063524525688731","href":"/preview/14370063524525688731?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","rawHref":"/video/preview/14370063524525688731?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"7215722560669900812":{"videoId":"7215722560669900812","title":"질문만 잘해도 노벨상 가능 ?!","cleanTitle":"질문만 잘해도 노벨상 가능 ?!","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=3to66LMx37A","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/3to66LMx37A?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDVExEYVVud000cnBtdE5aNFZXbnlIdw==","name":"매스프레소 MathPresso","isVerified":false,"subscribersCount":0,"url":"/video/search?text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","origUrl":"http://www.youtube.com/@MathPresso","a11yText":"매스프레소 MathPresso. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":48,"text":"00:48","a11yText":"Süre 48 saniye","shortText":""},"views":{"text":"4,5bin","a11yText":"4,5 bin izleme"},"date":"5 ara 2024","modifyTime":1733356800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/3to66LMx37A?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=3to66LMx37A","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","duration":48},"parentClipId":"7215722560669900812","href":"/preview/7215722560669900812?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","rawHref":"/video/preview/7215722560669900812?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8700413964062494497":{"videoId":"8700413964062494497","title":"포물선으로 태울 수 있는 것","cleanTitle":"포물선으로 태울 수 있는 것","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=qkIaF5KWugI","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/qkIaF5KWugI?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDVExEYVVud000cnBtdE5aNFZXbnlIdw==","name":"매스프레소 MathPresso","isVerified":false,"subscribersCount":0,"url":"/video/search?text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","origUrl":"http://www.youtube.com/@MathPresso","a11yText":"매스프레소 MathPresso. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":49,"text":"00:49","a11yText":"Süre 49 saniye","shortText":""},"views":{"text":"12,6bin","a11yText":"12,6 bin izleme"},"date":"29 oca 2025","modifyTime":1738108800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/qkIaF5KWugI?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=qkIaF5KWugI","reqid":"1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL","duration":49},"parentClipId":"8700413964062494497","href":"/preview/8700413964062494497?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","rawHref":"/video/preview/8700413964062494497?parent-reqid=1765482535809300-18062155307662071093-balancer-l7leveler-kubr-yp-vla-249-BAL&text=%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C+MathPresso","isEmbedOnly":false,"shouldPlayInstreamPreroll":false}}},"viewer":{"_isInitial":false,"clips":{"items":{},"dups":{},"loadingStatus":"None"},"internal":{"videoId":"","sandboxEventPrefix":"sandbox:","sandboxVersion":"0x001cd987dbd","isEmbedded":false,"from":"yavideo","service":"ya-video","hbPeriod":30,"table":"video_tech","isInstreamDisabled":false,"nonce":"0621553076620710937249","errorList":[],"isAdultAdv":false,"isImportantCommonAdv":false,"shouldShowAdvId":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"regular":{"default":"R-I-48058-715","mail":"R-A-13411721-3"},"adult":{"default":"R-I-474674-108","mail":"R-A-13426421-3"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"shouldValidateSandbox":false,"sandboxInitTimeout":15000,"isSSROnlyMastheadEnabled":true,"query":"매스프레소 MathPresso","queryUriEscaped":"%EB%A7%A4%EC%8A%A4%ED%94%84%EB%A0%88%EC%86%8C%20MathPresso","filterMode":1,"isUserChild":false,"advInstreamConfig":{"regular":{"default":{"category":"2","impId":"7","partnerId":"2216089","vmapScenarioId":"119"}},"adult":{"default":{"category":"3","impId":"4","partnerId":"1988486","vmapScenarioId":"119"}}}},"playbackQueue":{"currentIndex":0,"items":[]},"related":{"items":[],"pages":[],"loadingStatus":"None","nextPageNum":0,"ncrnd":0},"playlist":{"items":{}},"delayedViews":{"ids":[],"loadingStatus":"None"}}}