[data-lk-theme=default]{color-scheme:dark;--lk-bg:#111;--lk-bg2:#1e1e1e;--lk-bg3:#2b2b2b;--lk-bg4:#373737;--lk-bg5:#444444;--lk-fg:#fff;--lk-fg2:whitesmoke;--lk-fg3:#ebebeb;--lk-fg4:#e0e0e0;--lk-fg5:#d6d6d6;--lk-border-color:rgba(255,255,255,0.1);--lk-accent-fg:#fff;--lk-accent-bg:#1f8cf9;--lk-accent2:#3396fa;--lk-accent3:#47a0fa;--lk-accent4:#5babfb;--lk-danger-fg:#fff;--lk-danger:#f91f31;--lk-danger2:#fa3343;--lk-danger3:#fa4756;--lk-danger4:#fb5b68;--lk-success-fg:#fff;--lk-success:#1ff968;--lk-success2:#33fa75;--lk-success3:#47fa83;--lk-success4:#5bfb90;--lk-control-fg:var(--lk-fg);--lk-control-bg:var(--lk-bg2);--lk-control-hover-bg:var(--lk-bg3);--lk-control-active-bg:var(--lk-bg4);--lk-control-active-hover-bg:var(--lk-bg5);--lk-connection-excellent:#06db4d;--lk-connection-good:#f9b11f;--lk-connection-poor:#f91f31;--lk-font-family:system-ui,-apple-system,"Segoe UI",Roboto,Helvetica,Arial,sans-serif,"Apple Color Emoji","Segoe UI Emoji";--lk-font-size:16px;--lk-line-height:1.5;--lk-border-radius:0.5rem;--lk-box-shadow:0 0.5rem 1.5rem rgba(0,0,0,0.15);--lk-drop-shadow:rgba(255,255,255,0.2) 0px 0px 24px;--lk-grid-gap:0.5rem;--lk-control-bar-height:69px;--lk-chat-header-height:69px}.lk-button,.lk-chat-toggle,.lk-disconnect-button,.lk-start-audio-button{position:relative;display:inline-flex;align-items:center;justify-content:center;gap:.5rem;padding:.625rem 1rem;color:var(--lk-control-fg);background-image:none;background-color:var(--lk-control-bg);border:0;border-radius:var(--lk-border-radius);cursor:pointer;white-space:nowrap}.lk-button:not(:disabled):hover,.lk-chat-toggle:not(:disabled):hover,.lk-disconnect-button:not(:disabled):hover,.lk-start-audio-button:not(:disabled):hover{background-color:var(--lk-control-hover-bg)}.lk-button>svg,.lk-chat-toggle>svg,.lk-disconnect-button>svg,.lk-start-audio-button>svg{overflow:visible}.lk-button[aria-pressed=true],[aria-pressed=true].lk-chat-toggle,[aria-pressed=true].lk-disconnect-button,[aria-pressed=true].lk-start-audio-button{background-color:var(--lk-control-active-bg)}.lk-button[aria-pressed=true]:hover,[aria-pressed=true].lk-chat-toggle:hover,[aria-pressed=true].lk-disconnect-button:hover,[aria-pressed=true].lk-start-audio-button:hover{background-color:var(--lk-control-active-hover-bg)}.lk-button[data-lk-source=screen_share][data-lk-enabled=true],[data-lk-source=screen_share][data-lk-enabled=true].lk-chat-toggle,[data-lk-source=screen_share][data-lk-enabled=true].lk-disconnect-button,[data-lk-source=screen_share][data-lk-enabled=true].lk-start-audio-button{background-color:var(--lk-accent-bg)}.lk-button[data-lk-source=screen_share][data-lk-enabled=true]:hover,[data-lk-source=screen_share][data-lk-enabled=true].lk-chat-toggle:hover,[data-lk-source=screen_share][data-lk-enabled=true].lk-disconnect-button:hover,[data-lk-source=screen_share][data-lk-enabled=true].lk-start-audio-button:hover{background-color:var(--lk-accent2)}.lk-button:disabled,.lk-chat-toggle:disabled,.lk-disconnect-button:disabled,.lk-start-audio-button:disabled{opacity:.5}.lk-button-group{display:inline-flex;align-items:stretch;height:100%}.lk-button-group>.lk-button:first-child,.lk-button-group>.lk-chat-toggle:first-child,.lk-button-group>.lk-disconnect-button:first-child,.lk-button-group>.lk-start-audio-button:first-child{border-top-right-radius:0;border-bottom-right-radius:0}.lk-button-group-menu{position:relative;flex-shrink:0}.lk-button-group-menu>.lk-button,.lk-button-group-menu>.lk-chat-toggle,.lk-button-group-menu>.lk-disconnect-button,.lk-button-group-menu>.lk-start-audio-button{height:100%;border-top-left-radius:0;border-bottom-left-radius:0}.lk-button-group-menu>.lk-button:after,.lk-button-group-menu>.lk-chat-toggle:after,.lk-button-group-menu>.lk-disconnect-button:after,.lk-button-group-menu>.lk-start-audio-button:after{margin-left:0}.lk-button-menu:after{display:inline-block;content:"";width:.5em;height:.5em;margin-top:-.25rem;margin-left:.5rem;border-left:.125em solid;border-bottom:.125em solid;transform:rotate(-45deg);transform-origin:center center}.lk-disconnect-button{font-weight:600;color:var(--lk-danger);border:1px solid var(--lk-danger)}.lk-disconnect-button:not(:disabled):hover{--lk-control-hover-bg:var(--lk-danger2);color:var(--lk-danger-fg)}.lk-disconnect-button:not(:disabled):active{--lk-control-hover-bg:var(--lk-danger3);color:var(--lk-danger-fg)}.lk-chat-toggle{position:relative}.lk-chat-toggle[data-lk-unread-msgs]:not([data-lk-unread-msgs="0"]):after{content:attr(data-lk-unread-msgs);position:absolute;top:0;left:0;padding:.25rem;margin-left:.25rem;margin-top:.25rem;border-radius:50%;font-size:.5rem;line-height:.75;background:var(--lk-accent-bg)}.lk-media-device-select:not(:last-child){padding-bottom:.5rem;margin-bottom:.75rem;border-bottom:1px solid var(--lk-border-color)}.lk-media-device-select li:not(:last-child){margin-bottom:.25rem}.lk-media-device-select li>.lk-button{width:100%;justify-content:start;padding-block:.5rem}.lk-media-device-select li:not([data-lk-active=true])>.lk-button:not(:disabled):hover{background-color:var(--lk-bg3)}.lk-media-device-select [data-lk-active=false]>.lk-button:hover{cursor:pointer;background-color:rgba(0,0,0,.05)}.lk-media-device-select [data-lk-active=true]>.lk-button{color:var(--lk-accent-fg);background-color:var(--lk-accent-bg)}.lk-device-menu{width:max-content;position:absolute;top:0;left:0;z-index:5;min-width:10rem;padding:.5rem;margin-bottom:.25rem;white-space:nowrap;background-color:var(--lk-bg2);border:1px solid var(--lk-border-color);border-radius:.75rem;box-shadow:var(--lk-box-shadow)}.lk-device-menu-heading{padding:.25rem .5rem;font-weight:700;opacity:.65}.lk-start-audio-button{color:var(--lk-accent-fg);background-color:var(--lk-accent-bg)}@media screen and (max-width:600px){.lk-start-audio-button{position:fixed;top:50%;left:50%;transform:translate(-50%,-50%)}}.lk-pagination-control{position:absolute;bottom:1rem;left:50%;transform:translateX(-50%);display:flex;align-items:stretch;background-color:var(--lk-control-bg);border-radius:var(--lk-border-radius);transition:opacity .15s ease-in-out;opacity:0}.lk-pagination-control:hover{opacity:1}.lk-pagination-control>.lk-button:first-child{border-top-right-radius:0;border-bottom-right-radius:0}.lk-pagination-control>.lk-button:first-child>svg{transform:rotate(180deg)}.lk-pagination-control>.lk-button:last-child{border-top-left-radius:0;border-bottom-left-radius:0}.lk-pagination-count{padding:.5rem .875rem;border-inline:1px solid var(--lk-bg)}[data-lk-user-interaction=true].lk-pagination-control{opacity:1}.lk-pagination-indicator{position:absolute;height:var(--lk-grid-gap);background-color:var(--lk-bg2);width:fit-content;padding:.2rem .5rem;bottom:calc(var(--lk-grid-gap)/2);left:50%;transform:translateX(-50%);border-radius:2rem;opacity:1;display:flex;gap:.2rem;align-items:center}.lk-pagination-indicator span{display:inline-block;width:.4rem;height:.4rem;border-radius:9999999px;background-color:var(--lk-fg);opacity:.35;transition:opacity .2s linear}.lk-pagination-indicator span[data-lk-active]{opacity:.9}.lk-grid-layout{--lk-col-count:1;--lk-row-count:1;display:grid;grid-template-columns:repeat(var(--lk-col-count),minmax(0,1fr));grid-auto-rows:minmax(0,1fr);grid-gap:var(--lk-grid-gap);width:100%;height:100%;max-width:100%;max-height:100%;padding:var(--lk-grid-gap)}.lk-grid-layout[data-lk-pagination=true]{padding-bottom:calc(var(--lk-grid-gap)*2)}.lk-focus-layout{display:grid;grid-template-columns:1fr 5fr;gap:var(--lk-grid-gap);width:100%;max-height:100%;padding:var(--lk-grid-gap)}.lk-focused-participant{position:relative}.lk-focused-participant .lk-pip-track{position:absolute;top:10px;right:10px;width:20%;height:auto}@media(max-width:600px){.lk-focus-layout{grid-template-columns:1fr;grid-template-rows:5fr 1fr}.lk-carousel{order:1}}.lk-carousel{max-height:100%;display:flex;gap:var(--lk-grid-gap)}.lk-carousel>*{flex-shrink:0;aspect-ratio:16/10;scroll-snap-align:start}.lk-carousel[data-lk-orientation=vertical]{flex-direction:column;scroll-snap-type:y mandatory;overflow-y:auto;overflow-x:hidden}.lk-carousel[data-lk-orientation=vertical]>*{--lk-height-minus-gaps:calc(100% - calc(var(--lk-grid-gap) * calc(var(--lk-max-visible-tiles) - 1)));height:calc(var(--lk-height-minus-gaps)/var(--lk-max-visible-tiles))}.lk-carousel[data-lk-orientation=horizontal]{scroll-snap-type:x mandatory;overflow-y:hidden;overflow-x:auto}.lk-carousel[data-lk-orientation=horizontal]>*{--lk-width-minus-gaps:calc(100% - var(--lk-grid-gap) * (var(--lk-max-visible-tiles) - 1));width:calc(var(--lk-width-minus-gaps)/var(--lk-max-visible-tiles))}.lk-connection-quality{width:1.5rem;height:1.5rem}.lk-track-muted-indicator-camera,.lk-track-muted-indicator-microphone{position:relative;width:var(--lk-indicator-size,1rem);height:var(--lk-indicator-size,1rem);margin-inline-end:.25rem;transition:opacity .25s ease-in-out}.lk-track-muted-indicator-camera[data-lk-muted=true]{opacity:.5}.lk-track-muted-indicator-microphone{--lk-bg:var(--lk-icon-mic)}.lk-track-muted-indicator-microphone[data-lk-muted=true]{opacity:.5}.lk-participant-name{font-size:.875rem}.lk-participant-media-video{width:100%;height:100%;object-fit:cover;object-position:center;background-color:#000}.lk-participant-media-video[data-lk-orientation=landscape]{object-fit:cover}.lk-participant-media-video[data-lk-orientation=portrait],.lk-participant-media-video[data-lk-source=screen_share]{object-fit:contain;background-color:var(--lk-bg2)}.lk-participant-media-audio{width:auto}[data-lk-facing-mode=user] .lk-participant-media-video[data-lk-local-participant=true][data-lk-source=camera]{transform:rotateY(180deg)}.lk-audio-visualizer{width:100%;height:100%;min-height:160px;background:var(--lk-bg-control);aspect-ratio:16/9;border-radius:.5rem;display:flex;justify-content:space-around;align-items:center}.lk-audio-visualizer>rect{fill:var(--lk-accent-bg);transition:transform .1s cubic-bezier(.19,.02,.09,1)}.lk-audio-visualizer>path{stroke:var(--lk-accent-bg);transition:.1s cubic-bezier(.19,.02,.09,1)}.lk-audio-bar-visualizer{display:flex;align-items:center;justify-content:center;width:100%;height:100%;background:var(--lk-bg);gap:var(--lk-va-bar-gap,24px)}.lk-audio-bar-visualizer>.lk-audio-bar{transform-origin:"center";height:100%;width:var(--lk-va-bar-width,12px);border-radius:var(--lk-va-bar-border-radius,32px);background-color:var(--lk-va-bar-bg,rgba(136,136,136,.2));transition:background-color .25s ease-out}.lk-audio-bar-visualizer>.lk-audio-bar.lk-highlighted,.lk-audio-bar-visualizer>[data-lk-highlighted=true],.lk-audio-bar-visualizer[data-lk-va-state=speaking]>.lk-audio-bar{background-color:var(--lk-fg,rgb(136,136,136));transition:none}.lk-audio-bar-visualizer[data-lk-va-state=thinking]{transition:background-color .15s ease-out}.lk-participant-tile{--lk-speaking-indicator-width:2.5px;position:relative;display:flex;flex-direction:column;gap:.375rem;overflow:hidden;border-radius:var(--lk-border-radius)}.lk-participant-tile:after{content:"";position:absolute;top:0;bottom:0;left:0;right:0;border-radius:var(--lk-border-radius);border:0 solid var(--lk-accent-bg);transition-property:border opacity;transition-delay:.5s;transition-duration:.4s;pointer-events:none}.lk-participant-tile[data-lk-speaking=true]:not([data-lk-source=screen_share]):after{transition-delay:0s;transition-duration:.2s;border-width:var(--lk-speaking-indicator-width)}.lk-participant-tile .lk-focus-toggle-button{position:absolute;top:.25rem;right:.25rem;padding:.25rem;background-color:rgba(0,0,0,.5);border-radius:calc(var(--lk-border-radius)/2);opacity:0;transition:opacity .2s ease-in-out;transition-delay:.2s}.lk-participant-tile:focus .lk-focus-toggle-button,.lk-participant-tile:hover .lk-focus-toggle-button{opacity:1;transition-delay:0}.lk-participant-tile .lk-connection-quality{opacity:0;transition:opacity .2s ease-in-out;transition-delay:.2s}.lk-participant-tile .lk-connection-quality[data-lk-quality=poor],.lk-participant-tile:focus .lk-connection-quality,.lk-participant-tile:hover .lk-connection-quality{opacity:1;transition-delay:0}.lk-participant-tile .lk-participant-placeholder{position:absolute;inset:0;display:flex;align-items:center;justify-content:center;background-color:var(--lk-bg2);opacity:0;transition:opacity .2s ease-in-out;pointer-events:none;border-radius:var(--lk-border-radius)}.lk-participant-tile .lk-participant-placeholder svg{height:100%;width:auto;padding:10%}.lk-participant-tile[data-lk-video-muted=true][data-lk-source=camera] .lk-participant-placeholder{opacity:1}.lk-participant-metadata{position:absolute;right:.25rem;bottom:.25rem;left:.25rem;display:flex;flex-direction:row;align-items:center;justify-content:space-between;gap:.5rem;line-height:1}.lk-participant-metadata-item{display:flex;align-items:center;padding:.25rem;background-color:rgba(0,0,0,.5);border-radius:calc(var(--lk-border-radius)/2)}.lk-toast{position:fixed;top:.75rem;left:50%;transform:translateX(-50%);display:flex;align-items:center;gap:.5rem;padding:.75rem 1.25rem;background-color:var(--lk-bg);border:1px solid var(--lk-border-color);border-radius:var(--lk-border-radius);box-shadow:var(--lk-box-shadow)}.lk-spinner{animation:lk-rotate 2s linear infinite}@keyframes lk-rotate{0%{transform:rotate(0deg)}to{transform:rotate(359deg)}}.lk-room-container{background-color:var(--lk-bg);line-height:var(--lk-line-height);position:relative;width:100%;height:100%;--lk-has-imported-styles:"true"}.lk-room-container [class*=" lk-"],.lk-room-container [class^=lk-]{box-sizing:border-box}.lk-audio-conference{position:relative;width:100%;height:100%}.lk-audio-conference-stage{width:100%;height:100%;display:grid;grid-template-columns:repeat(3,1fr);gap:10px}.lk-chat{display:grid;grid-template-rows:var(--lk-chat-header-height) 1fr var(--lk-control-bar-height);width:clamp(200px,55ch,60ch);background-color:var(--lk-bg2);border-left:1px solid var(--lk-border-color);align-items:end}.lk-chat-header{height:var(--lk-chat-header-height);padding:.75rem;position:relative;display:flex;align-items:center;justify-content:center}.lk-chat-header .lk-close-button{position:absolute;right:0;transform:translateX(-50%);background-color:rgba(0,0,0,0)}.lk-chat-header .lk-close-button:hover{background-color:var(--lk-control-active-hover-bg)}.lk-chat-messages{width:100%;max-height:100%;overflow:auto}.lk-chat-entry,.lk-chat-messages{display:flex;flex-direction:column;gap:.25rem}.lk-chat-entry{margin:0 .25rem}.lk-chat-entry .lk-meta-data{font-size:.75rem;color:var(--lk-fg5);white-space:nowrap;padding:0 .3rem;display:flex}.lk-chat-entry .lk-meta-data .lk-participant-name{margin-top:1rem}.lk-chat-entry .lk-meta-data .lk-timestamp{margin-left:auto;align-self:flex-end}.lk-chat-entry .lk-edit-button{background:none;float:right;margin:0;padding:0 .25rem;border-radius:0;font-size:12px}.lk-chat-entry .lk-message-body{display:inline-block;border-radius:15px;padding:.25rem .75rem;word-break:break-word;width:fit-content;max-width:calc(100% - 32px)}.lk-chat-entry[data-lk-message-origin=local] .lk-message-body{background-color:var(--lk-bg5)}.lk-chat-entry[data-lk-message-origin=remote] .lk-message-body{background-color:var(--lk-accent4)}.lk-chat-entry a{text-decoration:underline;color:inherit}.lk-chat-entry:last-child{margin-bottom:.25rem}.lk-chat-form{display:flex;gap:.75rem;padding:.75rem;border-top:1px solid var(--lk-border-color);max-height:var(--lk-control-bar-height)}.lk-chat-form-input{width:100%}@media(max-width:600px){.lk-chat{position:fixed;top:0;right:0;max-width:100%;bottom:var(--lk-control-bar-height)}}.lk-agent-control-bar,.lk-control-bar{display:flex;gap:.5rem;align-items:center;justify-content:center;padding:.75rem;border-top:1px solid var(--lk-border-color);max-height:var(--lk-control-bar-height)}.lk-agent-control-bar{height:var(--lk-control-bar-height);--lk-bg:transparent;--lk-va-bar-width:2px;--lk-va-bar-gap:4px;--lk-va-bar-border-radius:1px}.lk-agent-control-bar .lk-audio-bar-visualizer .lk-audio-bar.lk-highlighted{filter:none}.lk-prejoin{line-height:var(--lk-line-height)}[data-lk-theme]{font-size:var(--lk-font-size);font-family:var(--lk-font-family);color:var(--lk-fg)}[data-lk-theme] button,[data-lk-theme] input{font:inherit;line-height:inherit}[data-lk-theme] .lk-button{user-select:none}[data-lk-theme] .lk-list{list-style:none;margin:0;padding:0}[data-lk-theme] .lk-form-control{font-family:var(--lk-font-family);padding:.625rem 1rem;background-color:var(--lk-control-bg);border:1px solid var(--lk-border-color);border-radius:var(--lk-border-radius)}.lk-prejoin{box-sizing:border-box;display:flex;flex-direction:column;align-items:center;padding:1rem;gap:1rem;margin-inline:auto;background-color:var(--lk-bg);width:min(100%,480px);align-items:stretch}.lk-prejoin .lk-video-container{position:relative;width:100%;height:auto;aspect-ratio:16/10;background-color:#000;border-radius:var(--lk-border-radius);overflow:hidden}.lk-prejoin .lk-video-container .lk-camera-off-note,.lk-prejoin .lk-video-container video{display:block;width:100%;height:100%;object-fit:cover}.lk-prejoin .lk-video-container video[data-lk-facing-mode=user]{transform:rotateY(180deg)}.lk-prejoin .lk-video-container .lk-camera-off-note{position:absolute;top:0;left:0;width:100%;aspect-ratio:16/10;background-color:#000;display:grid;place-items:center}.lk-prejoin .lk-video-container .lk-camera-off-note>*{height:70%;max-width:100%}.lk-prejoin .lk-audio-container{display:none}.lk-prejoin .lk-audio-container audio{width:100%;height:auto}.lk-prejoin .lk-button-group-container{display:flex;flex-wrap:nowrap;gap:1rem}.lk-prejoin .lk-button-group-container>.lk-button-group{width:50%}.lk-prejoin .lk-button-group-container>.lk-button-group>.lk-button{justify-content:left}.lk-prejoin .lk-button-group-container>.lk-button-group>.lk-button:first-child{width:100%}@media(max-width:400px){.lk-prejoin .lk-button-group-container{flex-wrap:wrap}.lk-prejoin .lk-button-group-container>.lk-button-group{width:100%}}.lk-prejoin .lk-username-container{display:flex;flex-direction:column;gap:1rem;width:100%;max-width:100%}.lk-prejoin .lk-join-button{--lk-control-fg:var(--lk-accent-fg);--lk-control-bg:var(--lk-accent-bg);--lk-control-hover-bg:var(--lk-accent2);--lk-control-active-bg:var(--lk-accent3);--lk-control-active-hover-bg:var(--lk-accent4);background-color:var(--lk-control-bg)}.lk-prejoin .lk-join-button:hover{background-color:var(--lk-control-hover-bg)}.lk-focus-layout-wrapper,.lk-grid-layout-wrapper{position:relative;display:flex;justify-content:center;width:100%;height:calc(100% - var(--lk-control-bar-height))}.lk-grid-layout-wrapper{flex-direction:column;align-items:center}.lk-focus-layout-wrapper{align-items:stretch}.lk-video-conference{position:relative;display:flex;align-items:stretch;height:100%}.lk-video-conference-inner{display:flex;flex-direction:column;align-items:stretch;width:100%}.lk-settings-menu-modal{position:fixed;top:50%;left:50%;transform:translate(-50%,-50%);background:var(--lk-bg);display:flex;flex-direction:column;align-items:center;gap:.5rem;padding:.75rem 1.25rem;background-color:var(--lk-bg);border:1px solid var(--lk-border-color);border-radius:var(--lk-border-radius);box-shadow:var(--lk-box-shadow);min-width:50vw;min-height:50vh}@font-face{font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_AMS-Regular.a79f1c31.woff2) format("woff2"),url(/_next/static/media/KaTeX_AMS-Regular.1608a09b.woff) format("woff"),url(/_next/static/media/KaTeX_AMS-Regular.4aafdb68.ttf) format("truetype")}@font-face{font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url(/_next/static/media/KaTeX_Caligraphic-Bold.ec17d132.woff2) format("woff2"),url(/_next/static/media/KaTeX_Caligraphic-Bold.b6770918.woff) format("woff"),url(/_next/static/media/KaTeX_Caligraphic-Bold.cce5b8ec.ttf) format("truetype")}@font-face{font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Caligraphic-Regular.55fac258.woff2) format("woff2"),url(/_next/static/media/KaTeX_Caligraphic-Regular.dad44a7f.woff) format("woff"),url(/_next/static/media/KaTeX_Caligraphic-Regular.07ef19e7.ttf) format("truetype")}@font-face{font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url(/_next/static/media/KaTeX_Fraktur-Bold.d42a5579.woff2) format("woff2"),url(/_next/static/media/KaTeX_Fraktur-Bold.9f256b85.woff) format("woff"),url(/_next/static/media/KaTeX_Fraktur-Bold.b18f59e1.ttf) format("truetype")}@font-face{font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Fraktur-Regular.d3c882a6.woff2) format("woff2"),url(/_next/static/media/KaTeX_Fraktur-Regular.7c187121.woff) format("woff"),url(/_next/static/media/KaTeX_Fraktur-Regular.ed38e79f.ttf) format("truetype")}@font-face{font-family:KaTeX_Main;font-style:normal;font-weight:700;src:url(/_next/static/media/KaTeX_Main-Bold.c3fb5ac2.woff2) format("woff2"),url(/_next/static/media/KaTeX_Main-Bold.d181c465.woff) format("woff"),url(/_next/static/media/KaTeX_Main-Bold.b74a1a8b.ttf) format("truetype")}@font-face{font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url(/_next/static/media/KaTeX_Main-BoldItalic.6f2bb1df.woff2) format("woff2"),url(/_next/static/media/KaTeX_Main-BoldItalic.e3f82f9d.woff) format("woff"),url(/_next/static/media/KaTeX_Main-BoldItalic.70d8b0a5.ttf) format("truetype")}@font-face{font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url(/_next/static/media/KaTeX_Main-Italic.8916142b.woff2) format("woff2"),url(/_next/static/media/KaTeX_Main-Italic.9024d815.woff) format("woff"),url(/_next/static/media/KaTeX_Main-Italic.47373d1e.ttf) format("truetype")}@font-face{font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Main-Regular.0462f03b.woff2) format("woff2"),url(/_next/static/media/KaTeX_Main-Regular.7f51fe03.woff) format("woff"),url(/_next/static/media/KaTeX_Main-Regular.b7f8fe9b.ttf) format("truetype")}@font-face{font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url(/_next/static/media/KaTeX_Math-BoldItalic.572d331f.woff2) format("woff2"),url(/_next/static/media/KaTeX_Math-BoldItalic.f1035d8d.woff) format("woff"),url(/_next/static/media/KaTeX_Math-BoldItalic.a879cf83.ttf) format("truetype")}@font-face{font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url(/_next/static/media/KaTeX_Math-Italic.f28c23ac.woff2) format("woff2"),url(/_next/static/media/KaTeX_Math-Italic.5295ba48.woff) format("woff"),url(/_next/static/media/KaTeX_Math-Italic.939bc644.ttf) format("truetype")}@font-face{font-family:"KaTeX_SansSerif";font-style:normal;font-weight:700;src:url(/_next/static/media/KaTeX_SansSerif-Bold.8c5b5494.woff2) format("woff2"),url(/_next/static/media/KaTeX_SansSerif-Bold.bf59d231.woff) format("woff"),url(/_next/static/media/KaTeX_SansSerif-Bold.94e1e8dc.ttf) format("truetype")}@font-face{font-family:"KaTeX_SansSerif";font-style:italic;font-weight:400;src:url(/_next/static/media/KaTeX_SansSerif-Italic.3b1e59b3.woff2) format("woff2"),url(/_next/static/media/KaTeX_SansSerif-Italic.7c9bc82b.woff) format("woff"),url(/_next/static/media/KaTeX_SansSerif-Italic.b4c20c84.ttf) format("truetype")}@font-face{font-family:"KaTeX_SansSerif";font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_SansSerif-Regular.ba21ed5f.woff2) format("woff2"),url(/_next/static/media/KaTeX_SansSerif-Regular.74048478.woff) format("woff"),url(/_next/static/media/KaTeX_SansSerif-Regular.d4d7ba48.ttf) format("truetype")}@font-face{font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Script-Regular.03e9641d.woff2) format("woff2"),url(/_next/static/media/KaTeX_Script-Regular.07505710.woff) format("woff"),url(/_next/static/media/KaTeX_Script-Regular.fe9cbbe1.ttf) format("truetype")}@font-face{font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Size1-Regular.eae34984.woff2) format("woff2"),url(/_next/static/media/KaTeX_Size1-Regular.e1e279cb.woff) format("woff"),url(/_next/static/media/KaTeX_Size1-Regular.fabc004a.ttf) format("truetype")}@font-face{font-family:KaTeX_Size2;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Size2-Regular.5916a24f.woff2) format("woff2"),url(/_next/static/media/KaTeX_Size2-Regular.57727022.woff) format("woff"),url(/_next/static/media/KaTeX_Size2-Regular.d6b476ec.ttf) format("truetype")}@font-face{font-family:KaTeX_Size3;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Size3-Regular.b4230e7e.woff2) format("woff2"),url(/_next/static/media/KaTeX_Size3-Regular.9acaf01c.woff) format("woff"),url(/_next/static/media/KaTeX_Size3-Regular.a144ef58.ttf) format("truetype")}@font-face{font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Size4-Regular.10d95fd3.woff2) format("woff2"),url(/_next/static/media/KaTeX_Size4-Regular.7a996c9d.woff) format("woff"),url(/_next/static/media/KaTeX_Size4-Regular.fbccdabe.ttf) format("truetype")}@font-face{font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Typewriter-Regular.a8709e36.woff2) format("woff2"),url(/_next/static/media/KaTeX_Typewriter-Regular.6258592b.woff) format("woff"),url(/_next/static/media/KaTeX_Typewriter-Regular.d97aaf4a.ttf) format("truetype")}.katex{font:normal 1.21em KaTeX_Main,Times New Roman,serif;line-height:1.2;text-indent:0;text-rendering:auto}.katex *{-ms-high-contrast-adjust:none!important;border-color:currentColor}.katex .katex-version:after{content:"0.16.22"}.katex .katex-mathml{clip:rect(1px,1px,1px,1px);border:0;height:1px;overflow:hidden;padding:0;position:absolute;width:1px}.katex .katex-html>.newline{display:block}.katex .base{position:relative;white-space:nowrap;width:-webkit-min-content;width:-moz-min-content;width:min-content}.katex .base,.katex .strut{display:inline-block}.katex .textbf{font-weight:700}.katex .textit{font-style:italic}.katex .textrm{font-family:KaTeX_Main}.katex .textsf{font-family:KaTeX_SansSerif}.katex .texttt{font-family:KaTeX_Typewriter}.katex .mathnormal{font-family:KaTeX_Math;font-style:italic}.katex .mathit{font-family:KaTeX_Main;font-style:italic}.katex .mathrm{font-style:normal}.katex .mathbf{font-family:KaTeX_Main;font-weight:700}.katex .boldsymbol{font-family:KaTeX_Math;font-style:italic;font-weight:700}.katex .amsrm,.katex .mathbb,.katex .textbb{font-family:KaTeX_AMS}.katex .mathcal{font-family:KaTeX_Caligraphic}.katex .mathfrak,.katex .textfrak{font-family:KaTeX_Fraktur}.katex .mathboldfrak,.katex .textboldfrak{font-family:KaTeX_Fraktur;font-weight:700}.katex .mathtt{font-family:KaTeX_Typewriter}.katex .mathscr,.katex .textscr{font-family:KaTeX_Script}.katex .mathsf,.katex .textsf{font-family:KaTeX_SansSerif}.katex .mathboldsf,.katex .textboldsf{font-family:KaTeX_SansSerif;font-weight:700}.katex .mathitsf,.katex .mathsfit,.katex .textitsf{font-family:KaTeX_SansSerif;font-style:italic}.katex .mainrm{font-family:KaTeX_Main;font-style:normal}.katex .vlist-t{border-collapse:collapse;display:inline-table;table-layout:fixed}.katex .vlist-r{display:table-row}.katex .vlist{display:table-cell;position:relative;vertical-align:bottom}.katex .vlist>span{display:block;height:0;position:relative}.katex .vlist>span>span{display:inline-block}.katex .vlist>span>.pstrut{overflow:hidden;width:0}.katex .vlist-t2{margin-right:-2px}.katex .vlist-s{display:table-cell;font-size:1px;min-width:2px;vertical-align:bottom;width:2px}.katex .vbox{align-items:baseline;display:inline-flex;flex-direction:column}.katex .hbox{width:100%}.katex .hbox,.katex .thinbox{display:inline-flex;flex-direction:row}.katex .thinbox{max-width:0;width:0}.katex .msupsub{text-align:left}.katex .mfrac>span>span{text-align:center}.katex .mfrac .frac-line{border-bottom-style:solid;display:inline-block;width:100%}.katex .hdashline,.katex .hline,.katex .mfrac .frac-line,.katex .overline .overline-line,.katex .rule,.katex .underline .underline-line{min-height:1px}.katex .mspace{display:inline-block}.katex .clap,.katex .llap,.katex .rlap{position:relative;width:0}.katex .clap>.inner,.katex .llap>.inner,.katex .rlap>.inner{position:absolute}.katex .clap>.fix,.katex .llap>.fix,.katex .rlap>.fix{display:inline-block}.katex .llap>.inner{right:0}.katex .clap>.inner,.katex .rlap>.inner{left:0}.katex .clap>.inner>span{margin-left:-50%;margin-right:50%}.katex .rule{border:0 solid;display:inline-block;position:relative}.katex .hline,.katex .overline .overline-line,.katex .underline .underline-line{border-bottom-style:solid;display:inline-block;width:100%}.katex .hdashline{border-bottom-style:dashed;display:inline-block;width:100%}.katex .sqrt>.root{margin-left:.2777777778em;margin-right:-.5555555556em}.katex .fontsize-ensurer.reset-size1.size1,.katex .sizing.reset-size1.size1{font-size:1em}.katex .fontsize-ensurer.reset-size1.size2,.katex .sizing.reset-size1.size2{font-size:1.2em}.katex .fontsize-ensurer.reset-size1.size3,.katex .sizing.reset-size1.size3{font-size:1.4em}.katex .fontsize-ensurer.reset-size1.size4,.katex .sizing.reset-size1.size4{font-size:1.6em}.katex .fontsize-ensurer.reset-size1.size5,.katex .sizing.reset-size1.size5{font-size:1.8em}.katex .fontsize-ensurer.reset-size1.size6,.katex .sizing.reset-size1.size6{font-size:2em}.katex .fontsize-ensurer.reset-size1.size7,.katex .sizing.reset-size1.size7{font-size:2.4em}.katex .fontsize-ensurer.reset-size1.size8,.katex .sizing.reset-size1.size8{font-size:2.88em}.katex .fontsize-ensurer.reset-size1.size9,.katex .sizing.reset-size1.size9{font-size:3.456em}.katex .fontsize-ensurer.reset-size1.size10,.katex .sizing.reset-size1.size10{font-size:4.148em}.katex .fontsize-ensurer.reset-size1.size11,.katex .sizing.reset-size1.size11{font-size:4.976em}.katex .fontsize-ensurer.reset-size2.size1,.katex .sizing.reset-size2.size1{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size2.size2,.katex .sizing.reset-size2.size2{font-size:1em}.katex .fontsize-ensurer.reset-size2.size3,.katex .sizing.reset-size2.size3{font-size:1.1666666667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .sizing.reset-size2.size4{font-size:1.3333333333em}.katex .fontsize-ensurer.reset-size2.size5,.katex .sizing.reset-size2.size5{font-size:1.5em}.katex .fontsize-ensurer.reset-size2.size6,.katex .sizing.reset-size2.size6{font-size:1.6666666667em}.katex .fontsize-ensurer.reset-size2.size7,.katex .sizing.reset-size2.size7{font-size:2em}.katex .fontsize-ensurer.reset-size2.size8,.katex .sizing.reset-size2.size8{font-size:2.4em}.katex .fontsize-ensurer.reset-size2.size9,.katex .sizing.reset-size2.size9{font-size:2.88em}.katex .fontsize-ensurer.reset-size2.size10,.katex .sizing.reset-size2.size10{font-size:3.4566666667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .sizing.reset-size2.size11{font-size:4.1466666667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .sizing.reset-size3.size1{font-size:.7142857143em}.katex .fontsize-ensurer.reset-size3.size2,.katex .sizing.reset-size3.size2{font-size:.8571428571em}.katex .fontsize-ensurer.reset-size3.size3,.katex .sizing.reset-size3.size3{font-size:1em}.katex .fontsize-ensurer.reset-size3.size4,.katex .sizing.reset-size3.size4{font-size:1.1428571429em}.katex .fontsize-ensurer.reset-size3.size5,.katex .sizing.reset-size3.size5{font-size:1.2857142857em}.katex .fontsize-ensurer.reset-size3.size6,.katex .sizing.reset-size3.size6{font-size:1.4285714286em}.katex .fontsize-ensurer.reset-size3.size7,.katex .sizing.reset-size3.size7{font-size:1.7142857143em}.katex .fontsize-ensurer.reset-size3.size8,.katex .sizing.reset-size3.size8{font-size:2.0571428571em}.katex .fontsize-ensurer.reset-size3.size9,.katex .sizing.reset-size3.size9{font-size:2.4685714286em}.katex .fontsize-ensurer.reset-size3.size10,.katex .sizing.reset-size3.size10{font-size:2.9628571429em}.katex .fontsize-ensurer.reset-size3.size11,.katex .sizing.reset-size3.size11{font-size:3.5542857143em}.katex .fontsize-ensurer.reset-size4.size1,.katex .sizing.reset-size4.size1{font-size:.625em}.katex .fontsize-ensurer.reset-size4.size2,.katex .sizing.reset-size4.size2{font-size:.75em}.katex .fontsize-ensurer.reset-size4.size3,.katex .sizing.reset-size4.size3{font-size:.875em}.katex .fontsize-ensurer.reset-size4.size4,.katex .sizing.reset-size4.size4{font-size:1em}.katex .fontsize-ensurer.reset-size4.size5,.katex .sizing.reset-size4.size5{font-size:1.125em}.katex .fontsize-ensurer.reset-size4.size6,.katex .sizing.reset-size4.size6{font-size:1.25em}.katex .fontsize-ensurer.reset-size4.size7,.katex .sizing.reset-size4.size7{font-size:1.5em}.katex .fontsize-ensurer.reset-size4.size8,.katex .sizing.reset-size4.size8{font-size:1.8em}.katex .fontsize-ensurer.reset-size4.size9,.katex .sizing.reset-size4.size9{font-size:2.16em}.katex .fontsize-ensurer.reset-size4.size10,.katex .sizing.reset-size4.size10{font-size:2.5925em}.katex .fontsize-ensurer.reset-size4.size11,.katex .sizing.reset-size4.size11{font-size:3.11em}.katex .fontsize-ensurer.reset-size5.size1,.katex .sizing.reset-size5.size1{font-size:.5555555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .sizing.reset-size5.size2{font-size:.6666666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .sizing.reset-size5.size3{font-size:.7777777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .sizing.reset-size5.size4{font-size:.8888888889em}.katex .fontsize-ensurer.reset-size5.size5,.katex .sizing.reset-size5.size5{font-size:1em}.katex .fontsize-ensurer.reset-size5.size6,.katex .sizing.reset-size5.size6{font-size:1.1111111111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .sizing.reset-size5.size7{font-size:1.3333333333em}.katex .fontsize-ensurer.reset-size5.size8,.katex .sizing.reset-size5.size8{font-size:1.6em}.katex .fontsize-ensurer.reset-size5.size9,.katex .sizing.reset-size5.size9{font-size:1.92em}.katex .fontsize-ensurer.reset-size5.size10,.katex .sizing.reset-size5.size10{font-size:2.3044444444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .sizing.reset-size5.size11{font-size:2.7644444444em}.katex .fontsize-ensurer.reset-size6.size1,.katex .sizing.reset-size6.size1{font-size:.5em}.katex .fontsize-ensurer.reset-size6.size2,.katex .sizing.reset-size6.size2{font-size:.6em}.katex .fontsize-ensurer.reset-size6.size3,.katex .sizing.reset-size6.size3{font-size:.7em}.katex .fontsize-ensurer.reset-size6.size4,.katex .sizing.reset-size6.size4{font-size:.8em}.katex .fontsize-ensurer.reset-size6.size5,.katex .sizing.reset-size6.size5{font-size:.9em}.katex .fontsize-ensurer.reset-size6.size6,.katex .sizing.reset-size6.size6{font-size:1em}.katex .fontsize-ensurer.reset-size6.size7,.katex .sizing.reset-size6.size7{font-size:1.2em}.katex .fontsize-ensurer.reset-size6.size8,.katex .sizing.reset-size6.size8{font-size:1.44em}.katex .fontsize-ensurer.reset-size6.size9,.katex .sizing.reset-size6.size9{font-size:1.728em}.katex .fontsize-ensurer.reset-size6.size10,.katex .sizing.reset-size6.size10{font-size:2.074em}.katex .fontsize-ensurer.reset-size6.size11,.katex .sizing.reset-size6.size11{font-size:2.488em}.katex .fontsize-ensurer.reset-size7.size1,.katex .sizing.reset-size7.size1{font-size:.4166666667em}.katex .fontsize-ensurer.reset-size7.size2,.katex .sizing.reset-size7.size2{font-size:.5em}.katex .fontsize-ensurer.reset-size7.size3,.katex .sizing.reset-size7.size3{font-size:.5833333333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .sizing.reset-size7.size4{font-size:.6666666667em}.katex .fontsize-ensurer.reset-size7.size5,.katex .sizing.reset-size7.size5{font-size:.75em}.katex .fontsize-ensurer.reset-size7.size6,.katex .sizing.reset-size7.size6{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size7.size7,.katex .sizing.reset-size7.size7{font-size:1em}.katex .fontsize-ensurer.reset-size7.size8,.katex .sizing.reset-size7.size8{font-size:1.2em}.katex .fontsize-ensurer.reset-size7.size9,.katex .sizing.reset-size7.size9{font-size:1.44em}.katex .fontsize-ensurer.reset-size7.size10,.katex .sizing.reset-size7.size10{font-size:1.7283333333em}.katex .fontsize-ensurer.reset-size7.size11,.katex .sizing.reset-size7.size11{font-size:2.0733333333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .sizing.reset-size8.size1{font-size:.3472222222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .sizing.reset-size8.size2{font-size:.4166666667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .sizing.reset-size8.size3{font-size:.4861111111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .sizing.reset-size8.size4{font-size:.5555555556em}.katex .fontsize-ensurer.reset-size8.size5,.katex .sizing.reset-size8.size5{font-size:.625em}.katex .fontsize-ensurer.reset-size8.size6,.katex .sizing.reset-size8.size6{font-size:.6944444444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .sizing.reset-size8.size7{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size8.size8,.katex .sizing.reset-size8.size8{font-size:1em}.katex .fontsize-ensurer.reset-size8.size9,.katex .sizing.reset-size8.size9{font-size:1.2em}.katex .fontsize-ensurer.reset-size8.size10,.katex .sizing.reset-size8.size10{font-size:1.4402777778em}.katex .fontsize-ensurer.reset-size8.size11,.katex .sizing.reset-size8.size11{font-size:1.7277777778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .sizing.reset-size9.size1{font-size:.2893518519em}.katex .fontsize-ensurer.reset-size9.size2,.katex .sizing.reset-size9.size2{font-size:.3472222222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .sizing.reset-size9.size3{font-size:.4050925926em}.katex .fontsize-ensurer.reset-size9.size4,.katex .sizing.reset-size9.size4{font-size:.462962963em}.katex .fontsize-ensurer.reset-size9.size5,.katex .sizing.reset-size9.size5{font-size:.5208333333em}.katex .fontsize-ensurer.reset-size9.size6,.katex .sizing.reset-size9.size6{font-size:.5787037037em}.katex .fontsize-ensurer.reset-size9.size7,.katex .sizing.reset-size9.size7{font-size:.6944444444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .sizing.reset-size9.size8{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size9.size9,.katex .sizing.reset-size9.size9{font-size:1em}.katex .fontsize-ensurer.reset-size9.size10,.katex .sizing.reset-size9.size10{font-size:1.2002314815em}.katex .fontsize-ensurer.reset-size9.size11,.katex .sizing.reset-size9.size11{font-size:1.4398148148em}.katex .fontsize-ensurer.reset-size10.size1,.katex .sizing.reset-size10.size1{font-size:.2410800386em}.katex .fontsize-ensurer.reset-size10.size2,.katex .sizing.reset-size10.size2{font-size:.2892960463em}.katex .fontsize-ensurer.reset-size10.size3,.katex .sizing.reset-size10.size3{font-size:.337512054em}.katex .fontsize-ensurer.reset-size10.size4,.katex .sizing.reset-size10.size4{font-size:.3857280617em}.katex .fontsize-ensurer.reset-size10.size5,.katex .sizing.reset-size10.size5{font-size:.4339440694em}.katex .fontsize-ensurer.reset-size10.size6,.katex .sizing.reset-size10.size6{font-size:.4821600771em}.katex .fontsize-ensurer.reset-size10.size7,.katex .sizing.reset-size10.size7{font-size:.5785920926em}.katex .fontsize-ensurer.reset-size10.size8,.katex .sizing.reset-size10.size8{font-size:.6943105111em}.katex .fontsize-ensurer.reset-size10.size9,.katex .sizing.reset-size10.size9{font-size:.8331726133em}.katex .fontsize-ensurer.reset-size10.size10,.katex .sizing.reset-size10.size10{font-size:1em}.katex .fontsize-ensurer.reset-size10.size11,.katex .sizing.reset-size10.size11{font-size:1.1996142719em}.katex .fontsize-ensurer.reset-size11.size1,.katex .sizing.reset-size11.size1{font-size:.2009646302em}.katex .fontsize-ensurer.reset-size11.size2,.katex .sizing.reset-size11.size2{font-size:.2411575563em}.katex .fontsize-ensurer.reset-size11.size3,.katex .sizing.reset-size11.size3{font-size:.2813504823em}.katex .fontsize-ensurer.reset-size11.size4,.katex .sizing.reset-size11.size4{font-size:.3215434084em}.katex .fontsize-ensurer.reset-size11.size5,.katex .sizing.reset-size11.size5{font-size:.3617363344em}.katex .fontsize-ensurer.reset-size11.size6,.katex .sizing.reset-size11.size6{font-size:.4019292605em}.katex .fontsize-ensurer.reset-size11.size7,.katex .sizing.reset-size11.size7{font-size:.4823151125em}.katex .fontsize-ensurer.reset-size11.size8,.katex .sizing.reset-size11.size8{font-size:.578778135em}.katex .fontsize-ensurer.reset-size11.size9,.katex .sizing.reset-size11.size9{font-size:.6945337621em}.katex .fontsize-ensurer.reset-size11.size10,.katex .sizing.reset-size11.size10{font-size:.8336012862em}.katex .fontsize-ensurer.reset-size11.size11,.katex .sizing.reset-size11.size11{font-size:1em}.katex .delimsizing.size1{font-family:KaTeX_Size1}.katex .delimsizing.size2{font-family:KaTeX_Size2}.katex .delimsizing.size3{font-family:KaTeX_Size3}.katex .delimsizing.size4{font-family:KaTeX_Size4}.katex .delimsizing.mult .delim-size1>span{font-family:KaTeX_Size1}.katex .delimsizing.mult .delim-size4>span{font-family:KaTeX_Size4}.katex .nulldelimiter{display:inline-block;width:.12em}.katex .delimcenter,.katex .op-symbol{position:relative}.katex .op-symbol.small-op{font-family:KaTeX_Size1}.katex .op-symbol.large-op{font-family:KaTeX_Size2}.katex .accent>.vlist-t,.katex .op-limits>.vlist-t{text-align:center}.katex .accent .accent-body{position:relative}.katex .accent .accent-body:not(.accent-full){width:0}.katex .overlay{display:block}.katex .mtable .vertical-separator{display:inline-block;min-width:1px}.katex .mtable .arraycolsep{display:inline-block}.katex .mtable .col-align-c>.vlist-t{text-align:center}.katex .mtable .col-align-l>.vlist-t{text-align:left}.katex .mtable .col-align-r>.vlist-t{text-align:right}.katex .svg-align{text-align:left}.katex svg{fill:currentColor;stroke:currentColor;fill-rule:nonzero;fill-opacity:1;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1;display:block;height:inherit;position:absolute;width:100%}.katex svg path{stroke:none}.katex img{border-style:none;max-height:none;max-width:none;min-height:0;min-width:0}.katex .stretchy{display:block;overflow:hidden;position:relative;width:100%}.katex .stretchy:after,.katex .stretchy:before{content:""}.katex .hide-tail{overflow:hidden;position:relative;width:100%}.katex .halfarrow-left{left:0;overflow:hidden;position:absolute;width:50.2%}.katex .halfarrow-right{overflow:hidden;position:absolute;right:0;width:50.2%}.katex .brace-left{left:0;overflow:hidden;position:absolute;width:25.1%}.katex .brace-center{left:25%;overflow:hidden;position:absolute;width:50%}.katex .brace-right{overflow:hidden;position:absolute;right:0;width:25.1%}.katex .x-arrow-pad{padding:0 .5em}.katex .cd-arrow-pad{padding:0 .55556em 0 .27778em}.katex .mover,.katex .munder,.katex .x-arrow{text-align:center}.katex .boxpad{padding:0 .3em}.katex .fbox,.katex .fcolorbox{border:.04em solid;box-sizing:border-box}.katex .cancel-pad{padding:0 .2em}.katex .cancel-lap{margin-left:-.2em;margin-right:-.2em}.katex .sout{border-bottom-style:solid;border-bottom-width:.08em}.katex .angl{border-right:.049em solid;border-top:.049em solid;box-sizing:border-box;margin-right:.03889em}.katex .anglpad{padding:0 .03889em}.katex .eqn-num:before{content:"(" counter(katexEqnNo) ")";counter-increment:katexEqnNo}.katex .mml-eqn-num:before{content:"(" counter(mmlEqnNo) ")";counter-increment:mmlEqnNo}.katex .mtr-glue{width:50%}.katex .cd-vert-arrow{display:inline-block;position:relative}.katex .cd-label-left{display:inline-block;position:absolute;right:calc(50% + .3em);text-align:left}.katex .cd-label-right{display:inline-block;left:calc(50% + .3em);position:absolute;text-align:right}.katex-display{display:block;margin:1em 0;text-align:center}.katex-display>.katex{display:block;text-align:center;white-space:nowrap}.katex-display>.katex>.katex-html{display:block;position:relative}.katex-display>.katex>.katex-html>.tag{position:absolute;right:0}.katex-display.leqno>.katex>.katex-html>.tag{left:0;right:auto}.katex-display.fleqn>.katex{padding-left:2em;text-align:left}body{counter-reset:katexEqnNo mmlEqnNo}@font-face{font-family:Inter;font-style:normal;font-weight:100 900;font-display:swap;src:url(/_next/static/media/ba9851c3c22cd980-s.woff2) format("woff2");unicode-range:u+0460-052f,u+1c80-1c8a,u+20b4,u+2de0-2dff,u+a640-a69f,u+fe2e-fe2f}@font-face{font-family:Inter;font-style:normal;font-weight:100 900;font-display:swap;src:url(/_next/static/media/21350d82a1f187e9-s.woff2) format("woff2");unicode-range:u+0301,u+0400-045f,u+0490-0491,u+04b0-04b1,u+2116}@font-face{font-family:Inter;font-style:normal;font-weight:100 900;font-display:swap;src:url(/_next/static/media/c5fe6dc8356a8c31-s.woff2) format("woff2");unicode-range:u+1f??}@font-face{font-family:Inter;font-style:normal;font-weight:100 900;font-display:swap;src:url(/_next/static/media/19cfc7226ec3afaa-s.woff2) format("woff2");unicode-range:u+0370-0377,u+037a-037f,u+0384-038a,u+038c,u+038e-03a1,u+03a3-03ff}@font-face{font-family:Inter;font-style:normal;font-weight:100 900;font-display:swap;src:url(/_next/static/media/df0a9ae256c0569c-s.woff2) format("woff2");unicode-range:u+0102-0103,u+0110-0111,u+0128-0129,u+0168-0169,u+01a0-01a1,u+01af-01b0,u+0300-0301,u+0303-0304,u+0308-0309,u+0323,u+0329,u+1ea0-1ef9,u+20ab}@font-face{font-family:Inter;font-style:normal;font-weight:100 900;font-display:swap;src:url(/_next/static/media/8e9860b6e62d6359-s.woff2) format("woff2");unicode-range:u+0100-02ba,u+02bd-02c5,u+02c7-02cc,u+02ce-02d7,u+02dd-02ff,u+0304,u+0308,u+0329,u+1d00-1dbf,u+1e00-1e9f,u+1ef2-1eff,u+2020,u+20a0-20ab,u+20ad-20c0,u+2113,u+2c60-2c7f,u+a720-a7ff}@font-face{font-family:Inter;font-style:normal;font-weight:100 900;font-display:swap;src:url(/_next/static/media/e4af272ccee01ff0-s.p.woff2) format("woff2");unicode-range:u+00??,u+0131,u+0152-0153,u+02bb-02bc,u+02c6,u+02da,u+02dc,u+0304,u+0308,u+0329,u+2000-206f,u+20ac,u+2122,u+2191,u+2193,u+2212,u+2215,u+feff,u+fffd}@font-face{font-family:Inter Fallback;src:local("Arial");ascent-override:90.44%;descent-override:22.52%;line-gap-override:0.00%;size-adjust:107.12%}.__className_f367f3{font-family:Inter,Inter Fallback;font-style:normal}