:root{color:#f7f9ff;font-synthesis:none;--surface:#101f36d1;--border:#ffffff17;--muted:#91a5bf;background:#06101e;font-family:Inter,ui-sans-serif,system-ui,-apple-system,BlinkMacSystemFont,Segoe UI,sans-serif}*{box-sizing:border-box}html{background:#06101e}body{background:radial-gradient(circle at 12% 7%,#173666 0,#0000 29%),radial-gradient(circle at 92% 8%,#203c6b 0,#0000 27%),#06101e;min-width:320px;min-height:100vh;margin:0;overflow-x:hidden}button,input{font:inherit}button{cursor:pointer}button:focus-visible,input:focus-visible{outline-offset:2px;outline:2px solid #7de7ff}.app-shell{min-height:100vh}.topbar{z-index:30;-webkit-backdrop-filter:blur(22px);backdrop-filter:blur(22px);background:#050e1bbd;border-bottom:1px solid #ffffff12;align-items:center;gap:22px;padding:12px clamp(16px,3vw,46px);display:flex;position:sticky;top:0}.brand{color:#fff;background:0 0;border:0;align-items:center;gap:10px;font-size:17px;font-weight:850;display:flex}.brand-mark{color:#06101e;background:linear-gradient(145deg,#7cecff,#7978ff);border-radius:13px;place-items:center;width:38px;height:38px;font-weight:950;display:grid;box-shadow:0 10px 30px #6a88ff40}.topbar nav{flex:1;gap:4px;display:flex}.topbar nav button,.lang-switch button{color:#b9c8dc;background:0 0;border:0;border-radius:11px;padding:8px 11px}.topbar nav button:hover,.lang-switch button:hover,.lang-switch .active{color:#fff;background:#ffffff14}.lang-switch{background:#ffffff0b;border:1px solid #ffffff0d;border-radius:13px;gap:2px;padding:4px;display:flex}.panel{border:1px solid var(--border);background:linear-gradient(#162946d1,#091426e6);border-radius:24px;box-shadow:0 24px 70px #00000045}.home-grid{grid-template-columns:minmax(0,1fr) minmax(430px,1.03fr);align-items:center;gap:42px;max-width:1360px;margin:0 auto;padding:64px clamp(20px,5vw,72px) 84px;display:grid}.hero-copy h1{letter-spacing:-.052em;max-width:760px;margin:12px 0 22px;font-size:clamp(46px,5.8vw,80px);line-height:.97}.hero-copy h1 em{background:linear-gradient(90deg,#78e9ff,#987fff,#ff7ab8);color:#0000;-webkit-background-clip:text;background-clip:text;font-style:normal}.hero-copy p{color:#a9bad2;margin:0 0 28px;font-size:19px}.eyebrow{letter-spacing:.16em;color:#75e7ff;font-size:11px;font-weight:900;display:inline-flex}.hero-actions{flex-wrap:wrap;gap:11px;display:flex}.primary,.secondary{border:0;border-radius:16px;padding:14px 22px;font-weight:850}.primary{color:#06101e;background:linear-gradient(135deg,#7cecff,#7a74ff);box-shadow:0 15px 38px #6980ff45}.secondary{color:#fff;background:#ffffff12;border:1px solid #ffffff1a}.wide{width:100%;margin-top:14px}.feature-pills{flex-wrap:wrap;gap:8px;margin-top:22px;display:flex}.feature-pills span{color:#b9c8da;background:#ffffff08;border:1px solid #ffffff14;border-radius:999px;padding:7px 10px;font-size:12px}.premium-3d-stage{isolation:isolate;background:linear-gradient(#142a4bb8,#050c18f2);border:1px solid #ffffff1c;border-radius:32px;min-height:535px;position:relative;overflow:hidden;box-shadow:0 30px 90px #0006}.premium-3d-stage:after{content:"";pointer-events:none;background:linear-gradient(#ffffff0a,#0000 22%,#00000024);position:absolute;inset:0}.stage-aurora{filter:blur(82px);opacity:.38;border-radius:50%;width:320px;height:320px;animation:7s ease-in-out infinite alternate aurora;position:absolute}.stage-aurora.a{background:#29dfff;top:-40px;left:-80px}.stage-aurora.b{background:#8d5dff;animation-delay:-2s;bottom:10px;right:-60px}.stage-grid-floor{transform-origin:bottom;background-color:#0000;background-image:linear-gradient(#5be0ff1c 1px,#0000 1px),linear-gradient(90deg,#5be0ff1c 1px,#0000 1px);background-position:0 0,0 0;background-repeat:repeat,repeat;background-size:36px 36px;background-attachment:scroll,scroll;background-origin:padding-box,padding-box;background-clip:border-box,border-box;height:38%;position:absolute;bottom:8%;left:8%;right:8%;transform:perspective(460px)rotateX(68deg);-webkit-mask-image:linear-gradient(#0000,#000);mask-image:linear-gradient(#0000,#000)}.mascot-model-viewer{z-index:2;width:100%;height:calc(100% - 70px);position:absolute;inset:12px 0 58px}.stage-label{z-index:4;-webkit-backdrop-filter:blur(14px);backdrop-filter:blur(14px);background:#060e1b9e;border:1px solid #ffffff17;border-radius:13px;flex-direction:column;gap:2px;padding:9px 12px;display:flex;position:absolute;top:18px;left:20px}.stage-label b{letter-spacing:.13em;color:#7fe8ff;font-size:10px}.stage-label span{color:#b9c7dc;font-size:11px}.mascot-rail{z-index:4;flex-wrap:wrap;justify-content:center;gap:7px;display:flex;position:absolute;bottom:14px;left:16px;right:16px}.mascot-rail span{background:#050c18b8;border:1px solid #ffffff12;border-radius:999px;align-items:center;gap:5px;padding:5px 8px;font-size:10px;display:flex}.mascot-rail i{border-radius:50%;width:6px;height:6px}.mascot-showcase{z-index:2;perspective:900px;transform-style:preserve-3d;grid-template-columns:repeat(3,minmax(0,1fr));align-items:center;gap:18px;display:grid;position:absolute;inset:72px 8%}.mascot-card{border:1px solid color-mix(in srgb,var(--accent) 38%,#ffffff14);background:linear-gradient(155deg,color-mix(in srgb,var(--accent) 18%,#12223beb),#070f1deb);box-shadow:0 22px 40px #00000040,0 0 28px color-mix(in srgb,var(--accent) 14%,transparent);border-radius:22px;justify-items:center;gap:5px;padding:18px 10px;animation:3.4s ease-in-out infinite mascotFloat;display:grid;transform:rotateY(-8deg)translateZ(20px)}.mascot-card:nth-child(2n){animation-delay:-1.7s;transform:rotateY(8deg)translateZ(38px)}.mascot-card span{filter:drop-shadow(0 14px 14px #0000004d);font-size:clamp(42px,5vw,66px)}.mascot-card b{font-size:13px}.mascot-card small{color:#aebed2;font-size:10px}.mascot-2,.mascot-5{transform:translateZ(52px)scale(1.05)}.setup-page,.content-page,.results-page{max-width:1080px;margin:0 auto;padding:48px 20px}.setup-card{max-width:820px;margin:0 auto;padding:28px}.setup-card h2,.results-card h2{margin:8px 0 24px;font-size:34px}.setup-card label{color:#c5d2e5;margin:18px 0 8px;font-weight:750;display:block}.setup-card input[type=range]{accent-color:#75ddff;width:100%}.segmented{background:#ffffff09;border-radius:14px;gap:7px;padding:5px;display:flex}.segmented button{color:#aebcd1;text-transform:capitalize;background:0 0;border:0;border-radius:10px;flex:1;padding:10px 12px}.segmented button.active{color:#fff;background:#7cdfff24;box-shadow:inset 0 0 0 1px #7cdfff36}.character-grid{grid-template-columns:repeat(3,1fr);gap:9px;display:grid}.character{color:#fff;background:#ffffff08;border:1px solid #ffffff13;border-radius:17px;justify-items:center;gap:3px;padding:16px 8px;display:grid}.character span{font-size:29px}.character small{color:#91a2bc}.character.active{border-color:var(--accent);box-shadow:0 0 0 2px color-mix(in srgb,var(--accent) 28%,transparent),0 12px 30px color-mix(in srgb,var(--accent) 14%,transparent)}.game-page{max-width:1600px;margin:0 auto;padding:16px clamp(12px,2.5vw,34px) 44px}.game-topline{grid-template-columns:1fr auto 1fr;align-items:center;gap:10px;margin-bottom:9px;display:grid}.game-topline>div{color:#8fa4c0;align-items:baseline;gap:7px;display:flex}.game-topline>div:last-child{justify-content:flex-end}.game-topline b{color:#fff;font-size:18px}.timer{font-variant-numeric:tabular-nums;background:#ffffff12;border:1px solid #ffffff0f;border-radius:999px;padding:8px 14px;font-weight:900;box-shadow:0 8px 24px #00000024;color:#fff!important}.timer.danger{background:#ff486817;border-color:#ff5c774d;color:#ffd3d9!important}.score-strip{scrollbar-width:none;gap:7px;padding:0 0 9px;display:flex;overflow:auto}.score-strip::-webkit-scrollbar{display:none}.score-strip>div{--accent:#7cecff;border:1px solid color-mix(in srgb,var(--accent) 18%,#ffffff12);background:color-mix(in srgb,var(--accent) 5%,#07101ebf);border-radius:13px;flex:1;grid-template-columns:auto 1fr auto;align-items:center;gap:7px;min-width:165px;padding:7px 10px;display:grid}.score-strip span{font-size:18px}.score-strip b{white-space:nowrap;text-overflow:ellipsis;font-size:11px;overflow:hidden}.score-strip strong{color:var(--accent);font-variant-numeric:tabular-nums;font-size:15px}.boss-card{background:linear-gradient(110deg,#76264b9e,#2c184a8f);border:1px solid #ff66a436;border-radius:17px;align-items:center;gap:13px;margin-bottom:9px;padding:10px 14px;display:flex}.boss-card.defeated{background:linear-gradient(110deg,#1c694e80,#16343a8c);border-color:#5ff5994d}.boss-avatar{font-size:34px}.boss-info{flex:1}.boss-info>div:first-child{justify-content:space-between;display:flex}.boss-info span{color:#f3bad2;font-size:12px}.hp-track{background:#0000004d;border-radius:999px;margin-top:6px;overflow:hidden;height:8px!important}.hp-track i{border-radius:inherit;background:linear-gradient(90deg,#ff557d,#ffb35d);height:100%;transition:width .35s;display:block}.boss-info small{color:#ff9bb8;font-weight:900}.question-stage{text-align:center;place-items:center;min-height:clamp(132px,19vh,190px);max-height:220px;margin-bottom:10px;padding:18px;display:grid;position:relative;overflow:hidden}.question-stage:before{content:"";pointer-events:none;background:radial-gradient(circle at 50% 115%,#6686ff21,#0000 44%);position:absolute;inset:0}.topic-chip{color:#7de7ff;background:#70dfff1a;border:1px solid #70dfff1a;border-radius:999px;padding:5px 8px;font-size:10px;font-weight:850;position:absolute;top:12px;left:14px}.math-block{font-size:clamp(27px,4vw,46px)}.question-stage .math-block{z-index:1;font-size:clamp(36px,4.2vw,62px);position:relative}.math-inline .katex,.math-block .katex{color:inherit}.solo-layout{grid-template-columns:245px minmax(0,1fr);gap:10px;display:grid}.hero-side{text-align:center;padding:17px}.hero-orb{background:radial-gradient(circle at 35% 25%,#ffffff40,transparent 40%),color-mix(in srgb,var(--accent) 25%,#111a2b);width:94px;height:94px;box-shadow:0 16px 40px color-mix(in srgb,var(--accent) 18%,transparent);border-radius:27px;place-items:center;margin:0 auto 10px;font-size:51px;animation:2.6s ease-in-out infinite heroIdle;display:grid}.hero-orb.correct{animation:.65s correctPop}.hero-orb.wrong{animation:.55s wrongShake}.hero-meta h3{margin:3px 0}.hero-meta p{color:#9babc1;min-height:34px;font-size:12px}.ability-button,.mini-ability{border:1px solid color-mix(in srgb,var(--accent) 32%,#ffffff14);background:color-mix(in srgb,var(--accent) 9%,#ffffff06);color:#fff;border-radius:11px;width:100%;padding:9px;font-size:11px;font-weight:800}.ability-button:disabled,.mini-ability:disabled{opacity:.42;cursor:not-allowed}.stat-row{color:#9fb0c7;border-top:1px solid #ffffff12;justify-content:space-between;gap:8px;margin-top:13px;padding-top:11px;font-size:11px;display:flex}.answers-panel{gap:9px;display:grid}.option-grid{gap:8px;display:grid}.option-grid.choices-4{grid-template-columns:1fr 1fr}.option-grid.choices-3{grid-template-columns:repeat(3,1fr)}.answer,.team-options button{color:#fff;background:#ffffff0a;border:1px solid #ffffff16;border-radius:16px;min-height:clamp(62px,9vh,86px);transition:transform .16s,background .16s,border-color .16s,box-shadow .16s}.answer:hover:not(:disabled),.team-options button:hover:not(:disabled){background:#7ee0ff12;border-color:#7ee0ff47;transform:translateY(-1px)}.answer.correct,.team-options button.correct{background:#33d58426;border-color:#49ffa080;box-shadow:inset 0 0 0 1px #49ffa01f}.answer.wrong,.team-options button.wrong{background:#ff4d6924;border-color:#ff5e7973}.team-options button.selected{border-color:var(--accent);background:color-mix(in srgb,var(--accent) 11%,#ffffff08)}.answer .math-block,.team-options .math-block{font-size:clamp(20px,2vw,28px)}.feedback-card{background:#ffffff0b;border:1px solid #ffffff0f;border-radius:15px;grid-template-columns:auto 1fr auto;align-items:center;gap:10px;padding:12px 14px;display:grid}.feedback-card>div{gap:8px;display:flex}.feedback-card span,.feedback-card small{color:#aab9cc;font-size:11px}.feedback-card .math-block{text-align:center;font-size:17px}.team-answer-grid{align-items:start;gap:9px;padding-bottom:44px;display:grid;position:relative}.team-answer-grid.teams-2{grid-template-columns:repeat(2,minmax(0,1fr))}.team-answer-grid.teams-3{grid-template-columns:repeat(3,minmax(0,1fr))}.team-answer-grid.teams-4{grid-template-columns:repeat(2,minmax(0,1fr))}.team-answer-grid.teams-5{grid-template-columns:repeat(6,minmax(0,1fr))}.team-answer-grid.teams-5 .team-zone{grid-column:span 2}.team-answer-grid.teams-5 .team-zone:nth-child(4){grid-column:2/span 2}.team-answer-grid.teams-5 .team-zone:nth-child(5){grid-column:4/span 2}.team-zone{background:linear-gradient(180deg,color-mix(in srgb,var(--accent) 7%,#14243d),#070f1df0);border:1px solid color-mix(in srgb,var(--accent) 20%,#ffffff14);border-radius:20px;min-width:0;padding:12px;transition:all .22s;box-shadow:0 13px 36px #00000026}.team-zone.locked{box-shadow:inset 0 0 0 1px color-mix(in srgb,var(--accent) 22%,transparent),0 13px 36px #00000026}.team-zone.correct-zone{border-color:#45f79580;animation:.5s teamCorrect}.team-zone.wrong-zone{border-color:#ff5c7766;animation:.45s wrongShake}.team-zone header{align-items:center;gap:9px;display:flex}.team-char{filter:drop-shadow(0 7px 14px #0003);font-size:27px}.team-title{flex:1;min-width:0;display:grid}.team-title b{white-space:nowrap;text-overflow:ellipsis;font-size:13px;overflow:hidden}.team-title span{color:#91a5bf;font-size:10px}.team-title strong{color:#fff;font-size:11px}.ready-dot{background:#34445b;border-radius:50%;flex:none;width:9px;height:9px}.ready-dot.ready{background:#6df39e;box-shadow:0 0 14px #4cff99a6}.team-options{gap:7px;margin-top:9px;display:grid}.team-options.choices-4{grid-template-columns:1fr 1fr}.team-options.choices-3{grid-template-columns:repeat(3,1fr)}.team-options button{border-radius:13px;min-width:0;min-height:clamp(56px,7.5vh,72px);padding:7px}.team-footer{gap:6px;min-height:35px;margin-top:8px;display:grid}.locked-answer{color:#77e7ff;text-align:center;padding:3px;font-size:10px}.reveal-result{grid-template-columns:auto 1fr auto;align-items:center;gap:7px;font-size:10px;display:grid}.reveal-result span{color:#a7b6ca;text-align:center}.reveal-result strong{color:#9babc0;font-size:15px}.reveal-result strong.gain{color:#71f3a0}.ready-banner{-webkit-backdrop-filter:blur(12px);backdrop-filter:blur(12px);color:#9eb0c6;white-space:nowrap;background:#0d1b30eb;border:1px solid #ffffff17;border-radius:999px;padding:8px 13px;font-size:10px;position:absolute;bottom:0;left:50%;transform:translate(-50%)}.ready-banner.all-ready{color:#70f3a0;border-color:#58ffa04d;box-shadow:0 0 28px #46ff971a}.results-card{max-width:650px;margin:0 auto;padding:28px}.podium{gap:8px;margin:20px 0;display:grid}.podium-row{background:#ffffff0a;border-radius:14px;grid-template-columns:38px 1fr auto;align-items:center;padding:13px;display:grid}.podium-row strong{font-size:19px}.place-1{background:linear-gradient(90deg,#ffd35726,#ffffff09);border:1px solid #ffd55630}.solo-result{justify-items:center;padding:32px;display:grid}.solo-result span,.solo-result strong{font-size:56px}.solo-result small{color:#9bacbf}.lab-card,.dictionary-card{max-width:850px;margin:0 auto;padding:27px}.lab-card h2{text-align:center;font-size:42px}.lab-card label{color:#b8c7da;gap:8px;margin:17px 0;display:grid}.lab-card input[type=range]{accent-color:#74e5ff;width:100%}.fraction-bar{gap:4px;height:66px;margin:22px 0;display:flex}.fraction-bar i{background:#ffffff0e;border:1px solid #ffffff12;border-radius:8px;flex:1}.fraction-bar i.filled{background:linear-gradient(#70e6ff,#7674ff)}.equivalent{text-align:center;background:#ffffff09;border-radius:15px;padding:16px}.equivalent .math-block{font-size:23px}.rules-grid{grid-template-columns:repeat(2,1fr);gap:12px;display:grid}.rule-card{padding:21px}.rule-card>span{letter-spacing:.16em;color:#75e6ff;font-size:9px}.rule-card h3{margin:7px 0 16px}.rule-card .math-block{font-size:21px}.search{color:#fff;background:#ffffff0b;border:1px solid #ffffff17;border-radius:13px;outline:none;width:100%;margin:18px 0 13px;padding:12px 14px}.dictionary-table{display:grid}.dict-head,.dict-row{border-bottom:1px solid #fff1;grid-template-columns:repeat(3,1fr);gap:10px;padding:11px;display:grid}.dict-head{color:#72e3ff}.dict-row{color:#c5d1e3}@keyframes heroIdle{0%,to{transform:translateY(0)rotate(-1deg)}50%{transform:translateY(-6px)rotate(1deg)}}@keyframes correctPop{0%{transform:scale(1)}40%{transform:scale(1.12)rotate(4deg)}to{transform:scale(1)}}@keyframes wrongShake{0%,to{transform:translate(0)}25%{transform:translate(-6px)}50%{transform:translate(5px)}75%{transform:translate(-3px)}}@keyframes teamCorrect{0%{transform:scale(1)}45%{transform:scale(1.012)}to{transform:scale(1)}}@keyframes aurora{0%{transform:translate(-10px,-4px)scale(.95)}to{transform:translate(18px,16px)scale(1.12)}}@keyframes mascotFloat{0%,to{translate:0}50%{translate:0 -9px}}@media (width<=1180px){.team-answer-grid.teams-3{grid-template-columns:1fr 1fr}.team-answer-grid.teams-3 .team-zone:last-of-type{grid-column:1/-1}.team-answer-grid.teams-5{grid-template-columns:1fr 1fr}.team-answer-grid.teams-5 .team-zone,.team-answer-grid.teams-5 .team-zone:nth-child(4),.team-answer-grid.teams-5 .team-zone:nth-child(5){grid-column:auto}.home-grid{grid-template-columns:1fr;padding-top:40px}.premium-3d-stage{min-height:470px}}@media (width<=900px){.solo-layout{grid-template-columns:1fr}.hero-side{text-align:left;grid-template-columns:auto 1fr;align-items:center;gap:5px 12px;display:grid}.hero-orb{grid-row:span 3;width:78px;height:78px;margin:0;font-size:41px}.hero-meta p{min-height:0;margin:3px 0}.ability-button{grid-column:2}.stat-row{border:0;grid-column:2;margin-top:0;padding-top:0}.team-answer-grid.teams-2,.team-answer-grid.teams-3,.team-answer-grid.teams-4,.team-answer-grid.teams-5{grid-template-columns:1fr 1fr}.team-answer-grid.teams-3 .team-zone:last-of-type{grid-column:1/-1}.score-strip>div{min-width:140px}}@media (width<=680px){.topbar{gap:7px;padding:9px 11px}.topbar nav,.brand span:last-child{display:none}.home-grid{padding:32px 13px 50px}.hero-copy h1{font-size:47px}.premium-3d-stage{border-radius:23px;min-height:405px}.mascot-showcase{grid-template-columns:repeat(2,minmax(0,1fr));gap:8px;inset:66px 7% 72px}.mascot-card{border-radius:14px;padding:8px 5px}.mascot-card span{font-size:34px}.mascot-card small{display:none}.character-grid{grid-template-columns:repeat(2,1fr)}.game-page{padding:13px 8px 44px}.game-topline{grid-template-columns:1fr auto 1fr}.question-stage{min-height:128px}.question-stage .math-block{font-size:clamp(32px,10vw,46px)}.team-answer-grid.teams-2,.team-answer-grid.teams-3,.team-answer-grid.teams-4,.team-answer-grid.teams-5{grid-template-columns:1fr}.team-answer-grid.teams-3 .team-zone:last-of-type{grid-column:auto}.team-options.choices-3,.option-grid.choices-3{grid-template-columns:repeat(3,1fr)}.team-options button{min-height:54px}.feedback-card{grid-template-columns:1fr}.feedback-card .math-block{text-align:left}.rules-grid{grid-template-columns:1fr}.dict-head,.dict-row{padding:9px 5px;font-size:11px}.score-strip{display:none}}@media (prefers-reduced-motion:reduce){*,:before,:after{scroll-behavior:auto!important;transition-duration:.01ms!important;animation-duration:.01ms!important;animation-iteration-count:1!important}}@font-face{font-display:block;font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(/games/fraction-arena/assets/KaTeX_AMS-Regular-BQhdFMY1.woff2)format("woff2"),url(/games/fraction-arena/assets/KaTeX_AMS-Regular-DMm9YOAa.woff)format("woff"),url(/games/fraction-arena/assets/KaTeX_AMS-Regular-DRggAlZN.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url(/games/fraction-arena/assets/KaTeX_Caligraphic-Bold-Dq_IR9rO.woff2)format("woff2"),url(/games/fraction-arena/assets/KaTeX_Caligraphic-Bold-BEiXGLvX.woff)format("woff"),url(/games/fraction-arena/assets/KaTeX_Caligraphic-Bold-ATXxdsX0.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url(/games/fraction-arena/assets/KaTeX_Caligraphic-Regular-Di6jR-x-.woff2)format("woff2"),url(/games/fraction-arena/assets/KaTeX_Caligraphic-Regular-CTRA-rTL.woff)format("woff"),url(/games/fraction-arena/assets/KaTeX_Caligraphic-Regular-wX97UBjC.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url(/games/fraction-arena/assets/KaTeX_Fraktur-Bold-CL6g_b3V.woff2)format("woff2"),url(/games/fraction-arena/assets/KaTeX_Fraktur-Bold-BsDP51OF.woff)format("woff"),url(/games/fraction-arena/assets/KaTeX_Fraktur-Bold-BdnERNNW.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url(/games/fraction-arena/assets/KaTeX_Fraktur-Regular-CTYiF6lA.woff2)format("woff2"),url(/games/fraction-arena/assets/KaTeX_Fraktur-Regular-Dxdc4cR9.woff)format("woff"),url(/games/fraction-arena/assets/KaTeX_Fraktur-Regular-CB_wures.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:700;src:url(/games/fraction-arena/assets/KaTeX_Main-Bold-Cx986IdX.woff2)format("woff2"),url(/games/fraction-arena/assets/KaTeX_Main-Bold-Jm3AIy58.woff)format("woff"),url(/games/fraction-arena/assets/KaTeX_Main-Bold-waoOVXN0.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url(/games/fraction-arena/assets/KaTeX_Main-BoldItalic-DxDJ3AOS.woff2)format("woff2"),url(/games/fraction-arena/assets/KaTeX_Main-BoldItalic-SpSLRI95.woff)format("woff"),url(/games/fraction-arena/assets/KaTeX_Main-BoldItalic-DzxPMmG6.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url(/games/fraction-arena/assets/KaTeX_Main-Italic-NWA7e6Wa.woff2)format("woff2"),url(/games/fraction-arena/assets/KaTeX_Main-Italic-BMLOBm91.woff)format("woff"),url(/games/fraction-arena/assets/KaTeX_Main-Italic-3WenGoN9.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url(/games/fraction-arena/assets/KaTeX_Main-Regular-B22Nviop.woff2)format("woff2"),url(/games/fraction-arena/assets/KaTeX_Main-Regular-Dr94JaBh.woff)format("woff"),url(/games/fraction-arena/assets/KaTeX_Main-Regular-ypZvNtVU.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url(/games/fraction-arena/assets/KaTeX_Math-BoldItalic-CZnvNsCZ.woff2)format("woff2"),url(/games/fraction-arena/assets/KaTeX_Math-BoldItalic-iY-2wyZ7.woff)format("woff"),url(/games/fraction-arena/assets/KaTeX_Math-BoldItalic-B3XSjfu4.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url(/games/fraction-arena/assets/KaTeX_Math-Italic-t53AETM-.woff2)format("woff2"),url(/games/fraction-arena/assets/KaTeX_Math-Italic-DA0__PXp.woff)format("woff"),url(/games/fraction-arena/assets/KaTeX_Math-Italic-flOr_0UB.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:700;src:url(/games/fraction-arena/assets/KaTeX_SansSerif-Bold-D1sUS0GD.woff2)format("woff2"),url(/games/fraction-arena/assets/KaTeX_SansSerif-Bold-DbIhKOiC.woff)format("woff"),url(/games/fraction-arena/assets/KaTeX_SansSerif-Bold-CFMepnvq.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:italic;font-weight:400;src:url(/games/fraction-arena/assets/KaTeX_SansSerif-Italic-C3H0VqGB.woff2)format("woff2"),url(/games/fraction-arena/assets/KaTeX_SansSerif-Italic-DN2j7dab.woff)format("woff"),url(/games/fraction-arena/assets/KaTeX_SansSerif-Italic-YYjJ1zSn.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:400;src:url(/games/fraction-arena/assets/KaTeX_SansSerif-Regular-DDBCnlJ7.woff2)format("woff2"),url(/games/fraction-arena/assets/KaTeX_SansSerif-Regular-CS6fqUqJ.woff)format("woff"),url(/games/fraction-arena/assets/KaTeX_SansSerif-Regular-BNo7hRIc.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url(/games/fraction-arena/assets/KaTeX_Script-Regular-D3wIWfF6.woff2)format("woff2"),url(/games/fraction-arena/assets/KaTeX_Script-Regular-D5yQViql.woff)format("woff"),url(/games/fraction-arena/assets/KaTeX_Script-Regular-C5JkGWo-.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url(/games/fraction-arena/assets/KaTeX_Size1-Regular-mCD8mA8B.woff2)format("woff2"),url(/games/fraction-arena/assets/KaTeX_Size1-Regular-C195tn64.woff)format("woff"),url(/games/fraction-arena/assets/KaTeX_Size1-Regular-Dbsnue_I.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size2;font-style:normal;font-weight:400;src:url(/games/fraction-arena/assets/KaTeX_Size2-Regular-Dy4dx90m.woff2)format("woff2"),url(/games/fraction-arena/assets/KaTeX_Size2-Regular-oD1tc_U0.woff)format("woff"),url(/games/fraction-arena/assets/KaTeX_Size2-Regular-B7gKUWhC.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size3;font-style:normal;font-weight:400;src:url(data:font/woff2;base64,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)format("woff2"),url(/games/fraction-arena/assets/KaTeX_Size3-Regular-CTq5MqoE.woff)format("woff"),url(/games/fraction-arena/assets/KaTeX_Size3-Regular-DgpXs0kz.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url(/games/fraction-arena/assets/KaTeX_Size4-Regular-Dl5lxZxV.woff2)format("woff2"),url(/games/fraction-arena/assets/KaTeX_Size4-Regular-BF-4gkZK.woff)format("woff"),url(/games/fraction-arena/assets/KaTeX_Size4-Regular-DWFBv043.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url(/games/fraction-arena/assets/KaTeX_Typewriter-Regular-CO6r4hn1.woff2)format("woff2"),url(/games/fraction-arena/assets/KaTeX_Typewriter-Regular-C0xS9mPB.woff)format("woff"),url(/games/fraction-arena/assets/KaTeX_Typewriter-Regular-D3Ib7_Hf.ttf)format("truetype")}.katex{text-indent:0;text-rendering:auto;font:1.21em/1.2 KaTeX_Main,Times New Roman,serif;position:relative}.katex *{border-color:currentColor;-ms-high-contrast-adjust:none!important}.katex .katex-version:after{content:"0.16.47"}.katex .katex-mathml{clip-path:inset(50%);border:0;width:1px;height:1px;padding:0;position:absolute;overflow:hidden}.katex .katex-html>.newline{display:block}.katex .base{white-space:nowrap;width:min-content;position:relative}.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;table-layout:fixed;display:inline-table}.katex .vlist-r{display:table-row}.katex .vlist{vertical-align:bottom;display:table-cell;position:relative}.katex .vlist>span{height:0;display:block;position:relative}.katex .vlist>span>span{display:inline-block}.katex .vlist>span>.pstrut{width:0;overflow:hidden}.katex .vlist-t2{margin-right:-2px}.katex .vlist-s{vertical-align:bottom;width:2px;min-width:2px;font-size:1px;display:table-cell}.katex .vbox{flex-direction:column;align-items:baseline;display:inline-flex}.katex .hbox{width:100%}.katex .hbox,.katex .thinbox{flex-direction:row;display:inline-flex}.katex .thinbox{width:0;max-width:0}.katex .msupsub{text-align:left}.katex .mfrac>span>span{text-align:center}.katex .mfrac .frac-line{border-bottom-style:solid;width:100%;display:inline-block}.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 .smash{line-height:0;display:inline}.katex .clap,.katex .llap,.katex .rlap{width:0;position:relative}.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;width:100%;display:inline-block}.katex .hdashline{border-bottom-style:dashed;width:100%;display:inline-block}.katex .sqrt>.root{margin-left:.277778em;margin-right:-.555556em}.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:.833333em}.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:1.16667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .sizing.reset-size2.size4{font-size:1.33333em}.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:1.66667em}.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:3.45667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .sizing.reset-size2.size11{font-size:4.14667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .sizing.reset-size3.size1{font-size:.714286em}.katex .fontsize-ensurer.reset-size3.size2,.katex .sizing.reset-size3.size2{font-size:.857143em}.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:1.14286em}.katex .fontsize-ensurer.reset-size3.size5,.katex .sizing.reset-size3.size5{font-size:1.28571em}.katex .fontsize-ensurer.reset-size3.size6,.katex .sizing.reset-size3.size6{font-size:1.42857em}.katex .fontsize-ensurer.reset-size3.size7,.katex .sizing.reset-size3.size7{font-size:1.71429em}.katex .fontsize-ensurer.reset-size3.size8,.katex .sizing.reset-size3.size8{font-size:2.05714em}.katex .fontsize-ensurer.reset-size3.size9,.katex .sizing.reset-size3.size9{font-size:2.46857em}.katex .fontsize-ensurer.reset-size3.size10,.katex .sizing.reset-size3.size10{font-size:2.96286em}.katex .fontsize-ensurer.reset-size3.size11,.katex .sizing.reset-size3.size11{font-size:3.55429em}.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:.555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .sizing.reset-size5.size2{font-size:.666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .sizing.reset-size5.size3{font-size:.777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .sizing.reset-size5.size4{font-size:.888889em}.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:1.11111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .sizing.reset-size5.size7{font-size:1.33333em}.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:2.30444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .sizing.reset-size5.size11{font-size:2.76444em}.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:.416667em}.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:.583333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .sizing.reset-size7.size4{font-size:.666667em}.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:.833333em}.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:1.72833em}.katex .fontsize-ensurer.reset-size7.size11,.katex .sizing.reset-size7.size11{font-size:2.07333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .sizing.reset-size8.size1{font-size:.347222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .sizing.reset-size8.size2{font-size:.416667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .sizing.reset-size8.size3{font-size:.486111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .sizing.reset-size8.size4{font-size:.555556em}.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:.694444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .sizing.reset-size8.size7{font-size:.833333em}.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:1.44028em}.katex .fontsize-ensurer.reset-size8.size11,.katex .sizing.reset-size8.size11{font-size:1.72778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .sizing.reset-size9.size1{font-size:.289352em}.katex .fontsize-ensurer.reset-size9.size2,.katex .sizing.reset-size9.size2{font-size:.347222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .sizing.reset-size9.size3{font-size:.405093em}.katex .fontsize-ensurer.reset-size9.size4,.katex .sizing.reset-size9.size4{font-size:.462963em}.katex .fontsize-ensurer.reset-size9.size5,.katex .sizing.reset-size9.size5{font-size:.520833em}.katex .fontsize-ensurer.reset-size9.size6,.katex .sizing.reset-size9.size6{font-size:.578704em}.katex .fontsize-ensurer.reset-size9.size7,.katex .sizing.reset-size9.size7{font-size:.694444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .sizing.reset-size9.size8{font-size:.833333em}.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:1.20023em}.katex .fontsize-ensurer.reset-size9.size11,.katex .sizing.reset-size9.size11{font-size:1.43981em}.katex .fontsize-ensurer.reset-size10.size1,.katex .sizing.reset-size10.size1{font-size:.24108em}.katex .fontsize-ensurer.reset-size10.size2,.katex .sizing.reset-size10.size2{font-size:.289296em}.katex .fontsize-ensurer.reset-size10.size3,.katex .sizing.reset-size10.size3{font-size:.337512em}.katex .fontsize-ensurer.reset-size10.size4,.katex .sizing.reset-size10.size4{font-size:.385728em}.katex .fontsize-ensurer.reset-size10.size5,.katex .sizing.reset-size10.size5{font-size:.433944em}.katex .fontsize-ensurer.reset-size10.size6,.katex .sizing.reset-size10.size6{font-size:.48216em}.katex .fontsize-ensurer.reset-size10.size7,.katex .sizing.reset-size10.size7{font-size:.578592em}.katex .fontsize-ensurer.reset-size10.size8,.katex .sizing.reset-size10.size8{font-size:.694311em}.katex .fontsize-ensurer.reset-size10.size9,.katex .sizing.reset-size10.size9{font-size:.833173em}.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:1.19961em}.katex .fontsize-ensurer.reset-size11.size1,.katex .sizing.reset-size11.size1{font-size:.200965em}.katex .fontsize-ensurer.reset-size11.size2,.katex .sizing.reset-size11.size2{font-size:.241158em}.katex .fontsize-ensurer.reset-size11.size3,.katex .sizing.reset-size11.size3{font-size:.281351em}.katex .fontsize-ensurer.reset-size11.size4,.katex .sizing.reset-size11.size4{font-size:.321543em}.katex .fontsize-ensurer.reset-size11.size5,.katex .sizing.reset-size11.size5{font-size:.361736em}.katex .fontsize-ensurer.reset-size11.size6,.katex .sizing.reset-size11.size6{font-size:.401929em}.katex .fontsize-ensurer.reset-size11.size7,.katex .sizing.reset-size11.size7{font-size:.482315em}.katex .fontsize-ensurer.reset-size11.size8,.katex .sizing.reset-size11.size8{font-size:.578778em}.katex .fontsize-ensurer.reset-size11.size9,.katex .sizing.reset-size11.size9{font-size:.694534em}.katex .fontsize-ensurer.reset-size11.size10,.katex .sizing.reset-size11.size10{font-size:.833601em}.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{width:.12em;display:inline-block}.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{min-width:1px;display:inline-block}.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;height:inherit;width:100%;display:block;position:absolute}.katex svg path{stroke:none}.katex svg{fill-rule:nonzero;fill-opacity:1;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1}.katex img{border-style:none;min-width:0;max-width:none;min-height:0;max-height:none}.katex .stretchy{width:100%;display:block;position:relative;overflow:hidden}.katex .stretchy:after,.katex .stretchy:before{content:""}.katex .hide-tail{width:100%;position:relative;overflow:hidden}.katex .halfarrow-left{width:50.2%;position:absolute;left:0;overflow:hidden}.katex .halfarrow-right{width:50.2%;position:absolute;right:0;overflow:hidden}.katex .brace-left{width:25.1%;position:absolute;left:0;overflow:hidden}.katex .brace-center{width:50%;position:absolute;left:25%;overflow:hidden}.katex .brace-right{width:25.1%;position:absolute;right:0;overflow:hidden}.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{box-sizing:border-box;border:.04em solid}.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{box-sizing:border-box;border-top:.049em solid;border-right:.049em solid;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{text-align:left;display:inline-block;position:absolute;right:calc(50% + .3em)}.katex .cd-label-right{text-align:right;display:inline-block;position:absolute;left:calc(50% + .3em)}.katex-display{text-align:center;margin:1em 0;display:block}.katex-display>.katex{text-align:center;white-space:nowrap;display:block}.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{text-align:left;padding-left:2em}body{counter-reset:katexEqnNo mmlEqnNo}