@import"https://fonts.googleapis.com/css2?family=Manrope:wght@400;500;600;700;800&display=swap";@font-face{font-display:block;font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(/assets/KaTeX_AMS-Regular-BQhdFMY1.woff2) format("woff2"),url(/assets/KaTeX_AMS-Regular-DMm9YOAa.woff) format("woff"),url(/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(/assets/KaTeX_Caligraphic-Bold-Dq_IR9rO.woff2) format("woff2"),url(/assets/KaTeX_Caligraphic-Bold-BEiXGLvX.woff) format("woff"),url(/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(/assets/KaTeX_Caligraphic-Regular-Di6jR-x-.woff2) format("woff2"),url(/assets/KaTeX_Caligraphic-Regular-CTRA-rTL.woff) format("woff"),url(/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(/assets/KaTeX_Fraktur-Bold-CL6g_b3V.woff2) format("woff2"),url(/assets/KaTeX_Fraktur-Bold-BsDP51OF.woff) format("woff"),url(/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(/assets/KaTeX_Fraktur-Regular-CTYiF6lA.woff2) format("woff2"),url(/assets/KaTeX_Fraktur-Regular-Dxdc4cR9.woff) format("woff"),url(/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(/assets/KaTeX_Main-Bold-Cx986IdX.woff2) format("woff2"),url(/assets/KaTeX_Main-Bold-Jm3AIy58.woff) format("woff"),url(/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(/assets/KaTeX_Main-BoldItalic-DxDJ3AOS.woff2) format("woff2"),url(/assets/KaTeX_Main-BoldItalic-SpSLRI95.woff) format("woff"),url(/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(/assets/KaTeX_Main-Italic-NWA7e6Wa.woff2) format("woff2"),url(/assets/KaTeX_Main-Italic-BMLOBm91.woff) format("woff"),url(/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(/assets/KaTeX_Main-Regular-B22Nviop.woff2) format("woff2"),url(/assets/KaTeX_Main-Regular-Dr94JaBh.woff) format("woff"),url(/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(/assets/KaTeX_Math-BoldItalic-CZnvNsCZ.woff2) format("woff2"),url(/assets/KaTeX_Math-BoldItalic-iY-2wyZ7.woff) format("woff"),url(/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(/assets/KaTeX_Math-Italic-t53AETM-.woff2) format("woff2"),url(/assets/KaTeX_Math-Italic-DA0__PXp.woff) format("woff"),url(/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(/assets/KaTeX_SansSerif-Bold-D1sUS0GD.woff2) format("woff2"),url(/assets/KaTeX_SansSerif-Bold-DbIhKOiC.woff) format("woff"),url(/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(/assets/KaTeX_SansSerif-Italic-C3H0VqGB.woff2) format("woff2"),url(/assets/KaTeX_SansSerif-Italic-DN2j7dab.woff) format("woff"),url(/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(/assets/KaTeX_SansSerif-Regular-DDBCnlJ7.woff2) format("woff2"),url(/assets/KaTeX_SansSerif-Regular-CS6fqUqJ.woff) format("woff"),url(/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(/assets/KaTeX_Script-Regular-D3wIWfF6.woff2) format("woff2"),url(/assets/KaTeX_Script-Regular-D5yQViql.woff) format("woff"),url(/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(/assets/KaTeX_Size1-Regular-mCD8mA8B.woff2) format("woff2"),url(/assets/KaTeX_Size1-Regular-C195tn64.woff) format("woff"),url(/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(/assets/KaTeX_Size2-Regular-Dy4dx90m.woff2) format("woff2"),url(/assets/KaTeX_Size2-Regular-oD1tc_U0.woff) format("woff"),url(/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(/assets/KaTeX_Size3-Regular-CTq5MqoE.woff) format("woff"),url(/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(/assets/KaTeX_Size4-Regular-Dl5lxZxV.woff2) format("woff2"),url(/assets/KaTeX_Size4-Regular-BF-4gkZK.woff) format("woff"),url(/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(/assets/KaTeX_Typewriter-Regular-CO6r4hn1.woff2) format("woff2"),url(/assets/KaTeX_Typewriter-Regular-C0xS9mPB.woff) format("woff"),url(/assets/KaTeX_Typewriter-Regular-D3Ib7_Hf.ttf) format("truetype")}.katex{font: 1.21em KaTeX_Main,Times New Roman,serif;line-height:1.2;position:relative;text-indent:0;text-rendering:auto}.katex *{-ms-high-contrast-adjust:none!important;border-color:currentColor}.katex .katex-version:after{content:"0.18.1"}.katex .katex-mathml{border:0;-webkit-clip-path:inset(50%);clip-path:inset(50%);height:1px;overflow:hidden;padding:0;position:absolute;width:1px}.katex .katex-html>.katex-newline{display:block}.katex .katex-base{position:relative;white-space:nowrap;width:-webkit-min-content;width:-moz-min-content;width:min-content}.katex .katex-base,.katex .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 .katex-vbox{align-items:baseline;display:inline-flex;flex-direction:column}.katex .katex-thinbox{display:inline-flex;flex-direction:row;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 .katex-hdashline,.katex .katex-hline,.katex .katex-overline .overline-line,.katex .katex-rule,.katex .katex-underline .underline-line,.katex .mfrac .frac-line{min-height:1px}.katex .mspace{display:inline-block}.katex .katex-smash{display:inline;line-height:0}.katex .clap,.katex .llap,.katex .rlap{position:relative;width:0}.katex .clap>.katex-inner,.katex .llap>.katex-inner,.katex .rlap>.katex-inner{position:absolute}.katex .clap>.katex-fix,.katex .llap>.katex-fix,.katex .rlap>.katex-fix{display:inline-block}.katex .llap>.katex-inner{right:0}.katex .clap>.katex-inner,.katex .rlap>.katex-inner{left:0}.katex .clap>.katex-inner>span{margin-left:-50%;margin-right:50%}.katex .katex-rule{border:0 solid;display:inline-block;position:relative}.katex .katex-hline,.katex .katex-overline .overline-line,.katex .katex-underline .underline-line{border-bottom-style:solid;display:inline-block;width:100%}.katex .katex-hdashline{border-bottom-style:dashed;display:inline-block;width:100%}.katex .sqrt>.katex-root{margin-left:.2777777778em;margin-right:-.5555555556em}.katex .fontsize-ensurer.reset-size1.size1,.katex .katex-sizing.reset-size1.size1{font-size:1em}.katex .fontsize-ensurer.reset-size1.size2,.katex .katex-sizing.reset-size1.size2{font-size:1.2em}.katex .fontsize-ensurer.reset-size1.size3,.katex .katex-sizing.reset-size1.size3{font-size:1.4em}.katex .fontsize-ensurer.reset-size1.size4,.katex .katex-sizing.reset-size1.size4{font-size:1.6em}.katex .fontsize-ensurer.reset-size1.size5,.katex .katex-sizing.reset-size1.size5{font-size:1.8em}.katex .fontsize-ensurer.reset-size1.size6,.katex .katex-sizing.reset-size1.size6{font-size:2em}.katex .fontsize-ensurer.reset-size1.size7,.katex .katex-sizing.reset-size1.size7{font-size:2.4em}.katex .fontsize-ensurer.reset-size1.size8,.katex .katex-sizing.reset-size1.size8{font-size:2.88em}.katex .fontsize-ensurer.reset-size1.size9,.katex .katex-sizing.reset-size1.size9{font-size:3.456em}.katex .fontsize-ensurer.reset-size1.size10,.katex .katex-sizing.reset-size1.size10{font-size:4.148em}.katex .fontsize-ensurer.reset-size1.size11,.katex .katex-sizing.reset-size1.size11{font-size:4.976em}.katex .fontsize-ensurer.reset-size2.size1,.katex .katex-sizing.reset-size2.size1{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size2.size2,.katex .katex-sizing.reset-size2.size2{font-size:1em}.katex .fontsize-ensurer.reset-size2.size3,.katex .katex-sizing.reset-size2.size3{font-size:1.1666666667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .katex-sizing.reset-size2.size4{font-size:1.3333333333em}.katex .fontsize-ensurer.reset-size2.size5,.katex .katex-sizing.reset-size2.size5{font-size:1.5em}.katex .fontsize-ensurer.reset-size2.size6,.katex .katex-sizing.reset-size2.size6{font-size:1.6666666667em}.katex .fontsize-ensurer.reset-size2.size7,.katex .katex-sizing.reset-size2.size7{font-size:2em}.katex .fontsize-ensurer.reset-size2.size8,.katex .katex-sizing.reset-size2.size8{font-size:2.4em}.katex .fontsize-ensurer.reset-size2.size9,.katex .katex-sizing.reset-size2.size9{font-size:2.88em}.katex .fontsize-ensurer.reset-size2.size10,.katex .katex-sizing.reset-size2.size10{font-size:3.4566666667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .katex-sizing.reset-size2.size11{font-size:4.1466666667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .katex-sizing.reset-size3.size1{font-size:.7142857143em}.katex .fontsize-ensurer.reset-size3.size2,.katex .katex-sizing.reset-size3.size2{font-size:.8571428571em}.katex .fontsize-ensurer.reset-size3.size3,.katex .katex-sizing.reset-size3.size3{font-size:1em}.katex .fontsize-ensurer.reset-size3.size4,.katex .katex-sizing.reset-size3.size4{font-size:1.1428571429em}.katex .fontsize-ensurer.reset-size3.size5,.katex .katex-sizing.reset-size3.size5{font-size:1.2857142857em}.katex .fontsize-ensurer.reset-size3.size6,.katex .katex-sizing.reset-size3.size6{font-size:1.4285714286em}.katex .fontsize-ensurer.reset-size3.size7,.katex .katex-sizing.reset-size3.size7{font-size:1.7142857143em}.katex .fontsize-ensurer.reset-size3.size8,.katex .katex-sizing.reset-size3.size8{font-size:2.0571428571em}.katex .fontsize-ensurer.reset-size3.size9,.katex .katex-sizing.reset-size3.size9{font-size:2.4685714286em}.katex .fontsize-ensurer.reset-size3.size10,.katex .katex-sizing.reset-size3.size10{font-size:2.9628571429em}.katex .fontsize-ensurer.reset-size3.size11,.katex .katex-sizing.reset-size3.size11{font-size:3.5542857143em}.katex .fontsize-ensurer.reset-size4.size1,.katex .katex-sizing.reset-size4.size1{font-size:.625em}.katex .fontsize-ensurer.reset-size4.size2,.katex .katex-sizing.reset-size4.size2{font-size:.75em}.katex .fontsize-ensurer.reset-size4.size3,.katex .katex-sizing.reset-size4.size3{font-size:.875em}.katex .fontsize-ensurer.reset-size4.size4,.katex .katex-sizing.reset-size4.size4{font-size:1em}.katex .fontsize-ensurer.reset-size4.size5,.katex .katex-sizing.reset-size4.size5{font-size:1.125em}.katex .fontsize-ensurer.reset-size4.size6,.katex .katex-sizing.reset-size4.size6{font-size:1.25em}.katex .fontsize-ensurer.reset-size4.size7,.katex .katex-sizing.reset-size4.size7{font-size:1.5em}.katex .fontsize-ensurer.reset-size4.size8,.katex .katex-sizing.reset-size4.size8{font-size:1.8em}.katex .fontsize-ensurer.reset-size4.size9,.katex .katex-sizing.reset-size4.size9{font-size:2.16em}.katex .fontsize-ensurer.reset-size4.size10,.katex .katex-sizing.reset-size4.size10{font-size:2.5925em}.katex .fontsize-ensurer.reset-size4.size11,.katex .katex-sizing.reset-size4.size11{font-size:3.11em}.katex .fontsize-ensurer.reset-size5.size1,.katex .katex-sizing.reset-size5.size1{font-size:.5555555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .katex-sizing.reset-size5.size2{font-size:.6666666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .katex-sizing.reset-size5.size3{font-size:.7777777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .katex-sizing.reset-size5.size4{font-size:.8888888889em}.katex .fontsize-ensurer.reset-size5.size5,.katex .katex-sizing.reset-size5.size5{font-size:1em}.katex .fontsize-ensurer.reset-size5.size6,.katex .katex-sizing.reset-size5.size6{font-size:1.1111111111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .katex-sizing.reset-size5.size7{font-size:1.3333333333em}.katex .fontsize-ensurer.reset-size5.size8,.katex .katex-sizing.reset-size5.size8{font-size:1.6em}.katex .fontsize-ensurer.reset-size5.size9,.katex .katex-sizing.reset-size5.size9{font-size:1.92em}.katex .fontsize-ensurer.reset-size5.size10,.katex .katex-sizing.reset-size5.size10{font-size:2.3044444444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .katex-sizing.reset-size5.size11{font-size:2.7644444444em}.katex .fontsize-ensurer.reset-size6.size1,.katex .katex-sizing.reset-size6.size1{font-size:.5em}.katex .fontsize-ensurer.reset-size6.size2,.katex .katex-sizing.reset-size6.size2{font-size:.6em}.katex .fontsize-ensurer.reset-size6.size3,.katex .katex-sizing.reset-size6.size3{font-size:.7em}.katex .fontsize-ensurer.reset-size6.size4,.katex .katex-sizing.reset-size6.size4{font-size:.8em}.katex .fontsize-ensurer.reset-size6.size5,.katex .katex-sizing.reset-size6.size5{font-size:.9em}.katex .fontsize-ensurer.reset-size6.size6,.katex .katex-sizing.reset-size6.size6{font-size:1em}.katex .fontsize-ensurer.reset-size6.size7,.katex .katex-sizing.reset-size6.size7{font-size:1.2em}.katex .fontsize-ensurer.reset-size6.size8,.katex .katex-sizing.reset-size6.size8{font-size:1.44em}.katex .fontsize-ensurer.reset-size6.size9,.katex .katex-sizing.reset-size6.size9{font-size:1.728em}.katex .fontsize-ensurer.reset-size6.size10,.katex .katex-sizing.reset-size6.size10{font-size:2.074em}.katex .fontsize-ensurer.reset-size6.size11,.katex .katex-sizing.reset-size6.size11{font-size:2.488em}.katex .fontsize-ensurer.reset-size7.size1,.katex .katex-sizing.reset-size7.size1{font-size:.4166666667em}.katex .fontsize-ensurer.reset-size7.size2,.katex .katex-sizing.reset-size7.size2{font-size:.5em}.katex .fontsize-ensurer.reset-size7.size3,.katex .katex-sizing.reset-size7.size3{font-size:.5833333333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .katex-sizing.reset-size7.size4{font-size:.6666666667em}.katex .fontsize-ensurer.reset-size7.size5,.katex .katex-sizing.reset-size7.size5{font-size:.75em}.katex .fontsize-ensurer.reset-size7.size6,.katex .katex-sizing.reset-size7.size6{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size7.size7,.katex .katex-sizing.reset-size7.size7{font-size:1em}.katex .fontsize-ensurer.reset-size7.size8,.katex .katex-sizing.reset-size7.size8{font-size:1.2em}.katex .fontsize-ensurer.reset-size7.size9,.katex .katex-sizing.reset-size7.size9{font-size:1.44em}.katex .fontsize-ensurer.reset-size7.size10,.katex .katex-sizing.reset-size7.size10{font-size:1.7283333333em}.katex .fontsize-ensurer.reset-size7.size11,.katex .katex-sizing.reset-size7.size11{font-size:2.0733333333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .katex-sizing.reset-size8.size1{font-size:.3472222222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .katex-sizing.reset-size8.size2{font-size:.4166666667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .katex-sizing.reset-size8.size3{font-size:.4861111111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .katex-sizing.reset-size8.size4{font-size:.5555555556em}.katex .fontsize-ensurer.reset-size8.size5,.katex .katex-sizing.reset-size8.size5{font-size:.625em}.katex .fontsize-ensurer.reset-size8.size6,.katex .katex-sizing.reset-size8.size6{font-size:.6944444444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .katex-sizing.reset-size8.size7{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size8.size8,.katex .katex-sizing.reset-size8.size8{font-size:1em}.katex .fontsize-ensurer.reset-size8.size9,.katex .katex-sizing.reset-size8.size9{font-size:1.2em}.katex .fontsize-ensurer.reset-size8.size10,.katex .katex-sizing.reset-size8.size10{font-size:1.4402777778em}.katex .fontsize-ensurer.reset-size8.size11,.katex .katex-sizing.reset-size8.size11{font-size:1.7277777778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .katex-sizing.reset-size9.size1{font-size:.2893518519em}.katex .fontsize-ensurer.reset-size9.size2,.katex .katex-sizing.reset-size9.size2{font-size:.3472222222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .katex-sizing.reset-size9.size3{font-size:.4050925926em}.katex .fontsize-ensurer.reset-size9.size4,.katex .katex-sizing.reset-size9.size4{font-size:.462962963em}.katex .fontsize-ensurer.reset-size9.size5,.katex .katex-sizing.reset-size9.size5{font-size:.5208333333em}.katex .fontsize-ensurer.reset-size9.size6,.katex .katex-sizing.reset-size9.size6{font-size:.5787037037em}.katex .fontsize-ensurer.reset-size9.size7,.katex .katex-sizing.reset-size9.size7{font-size:.6944444444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .katex-sizing.reset-size9.size8{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size9.size9,.katex .katex-sizing.reset-size9.size9{font-size:1em}.katex .fontsize-ensurer.reset-size9.size10,.katex .katex-sizing.reset-size9.size10{font-size:1.2002314815em}.katex .fontsize-ensurer.reset-size9.size11,.katex .katex-sizing.reset-size9.size11{font-size:1.4398148148em}.katex .fontsize-ensurer.reset-size10.size1,.katex .katex-sizing.reset-size10.size1{font-size:.2410800386em}.katex .fontsize-ensurer.reset-size10.size2,.katex .katex-sizing.reset-size10.size2{font-size:.2892960463em}.katex .fontsize-ensurer.reset-size10.size3,.katex .katex-sizing.reset-size10.size3{font-size:.337512054em}.katex .fontsize-ensurer.reset-size10.size4,.katex .katex-sizing.reset-size10.size4{font-size:.3857280617em}.katex .fontsize-ensurer.reset-size10.size5,.katex .katex-sizing.reset-size10.size5{font-size:.4339440694em}.katex .fontsize-ensurer.reset-size10.size6,.katex .katex-sizing.reset-size10.size6{font-size:.4821600771em}.katex .fontsize-ensurer.reset-size10.size7,.katex .katex-sizing.reset-size10.size7{font-size:.5785920926em}.katex .fontsize-ensurer.reset-size10.size8,.katex .katex-sizing.reset-size10.size8{font-size:.6943105111em}.katex .fontsize-ensurer.reset-size10.size9,.katex .katex-sizing.reset-size10.size9{font-size:.8331726133em}.katex .fontsize-ensurer.reset-size10.size10,.katex .katex-sizing.reset-size10.size10{font-size:1em}.katex .fontsize-ensurer.reset-size10.size11,.katex .katex-sizing.reset-size10.size11{font-size:1.1996142719em}.katex .fontsize-ensurer.reset-size11.size1,.katex .katex-sizing.reset-size11.size1{font-size:.2009646302em}.katex .fontsize-ensurer.reset-size11.size2,.katex .katex-sizing.reset-size11.size2{font-size:.2411575563em}.katex .fontsize-ensurer.reset-size11.size3,.katex .katex-sizing.reset-size11.size3{font-size:.2813504823em}.katex .fontsize-ensurer.reset-size11.size4,.katex .katex-sizing.reset-size11.size4{font-size:.3215434084em}.katex .fontsize-ensurer.reset-size11.size5,.katex .katex-sizing.reset-size11.size5{font-size:.3617363344em}.katex .fontsize-ensurer.reset-size11.size6,.katex .katex-sizing.reset-size11.size6{font-size:.4019292605em}.katex .fontsize-ensurer.reset-size11.size7,.katex .katex-sizing.reset-size11.size7{font-size:.4823151125em}.katex .fontsize-ensurer.reset-size11.size8,.katex .katex-sizing.reset-size11.size8{font-size:.578778135em}.katex .fontsize-ensurer.reset-size11.size9,.katex .katex-sizing.reset-size11.size9{font-size:.6945337621em}.katex .fontsize-ensurer.reset-size11.size10,.katex .katex-sizing.reset-size11.size10{font-size:.8336012862em}.katex .fontsize-ensurer.reset-size11.size11,.katex .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 .katex-accent>.vlist-t,.katex .op-limits>.vlist-t{text-align:center}.katex .katex-accent .accent-body{position:relative}.katex .katex-accent .accent-body:not(.accent-full){width:0}.katex .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;display:block;height:inherit;position:absolute;width:100%}.katex svg path{stroke:none}.katex svg{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}.katex img{border-style:none;max-height:none;max-width:none;min-height:0;min-width:0}.katex .katex-stretchy{display:block;overflow:hidden;position:relative;width:100%}.katex .katex-stretchy:after,.katex .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 .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>.katex-tag{position:absolute;right:0}.katex-display.leqno>.katex>.katex-html>.katex-tag{left:0;right:auto}.katex-display.fleqn>.katex{padding-left:2em;text-align:left}body{counter-reset:katexEqnNo mmlEqnNo}:root{font-family:Manrope,system-ui,sans-serif;color:#eef2ff;background:#06091a;font-synthesis:none;--cyan: #22d3ee;--purple: #8b5cf6;--pink: #ec4899;--panel: rgba(20, 25, 58, .68);--border: rgba(255, 255, 255, .12);--muted: #a7b0ca}*{box-sizing:border-box}html{scroll-behavior:smooth}body{margin:0;min-width:320px;min-height:100vh;overflow-x:hidden}button,input{font:inherit}button{color:inherit}button:disabled{opacity:.55;cursor:not-allowed}.app-shell{min-height:100vh;background:radial-gradient(circle at 15% 15%,rgba(59,130,246,.18),transparent 28rem),radial-gradient(circle at 85% 25%,rgba(168,85,247,.16),transparent 25rem),linear-gradient(180deg,#070a1e,#090d25 48%,#050817)}.starfield{position:fixed;inset:0;overflow:hidden;pointer-events:none;z-index:0}.starfield i{position:absolute;left:var(--x);top:var(--y);width:var(--size);height:var(--size);border-radius:50%;background:#fff;opacity:.55;animation:twinkle 3.2s var(--delay) infinite ease-in-out}@keyframes twinkle{50%{opacity:.12;transform:scale(.5)}}main,.site-header{position:relative;z-index:1}.section{width:min(1180px,calc(100% - 40px));margin:0 auto;padding:95px 0}.page-section{padding-top:150px;min-height:100vh}.narrow-page{max-width:980px}h1,h2,h3,p{margin-top:0}h1{font-size:clamp(2.5rem,6vw,5.5rem);line-height:1.02;letter-spacing:-.055em;margin-bottom:24px}h2{font-size:clamp(2rem,4vw,3.2rem);line-height:1.1;letter-spacing:-.04em}h3{font-size:1.08rem}p{line-height:1.75}.site-header{position:fixed;top:16px;left:50%;transform:translate(-50%);width:min(1420px,calc(100% - 32px));display:flex;align-items:center;gap:16px;padding:12px 14px;border:1px solid var(--border);border-radius:24px;background:#070a1ec7;-webkit-backdrop-filter:blur(24px);backdrop-filter:blur(24px);box-shadow:0 20px 60px #00000059;z-index:30}.brand{display:flex;align-items:center;gap:10px;border:0;background:transparent;cursor:pointer;padding:0 8px;min-width:205px;text-align:left}.brand-mark{display:grid;place-items:center;width:43px;height:43px;border-radius:14px;font-size:1.4rem;background:linear-gradient(135deg,var(--purple),var(--pink));box-shadow:0 10px 30px #8b5cf673}.brand strong{display:block;font-size:1rem;background:linear-gradient(90deg,var(--cyan),#c084fc,var(--pink));-webkit-background-clip:text;color:transparent}.brand small,.chat-title small{display:block;margin-top:2px;color:var(--muted);font-size:.7rem}.main-nav{display:flex;align-items:center;justify-content:center;gap:5px;flex:1}.nav-button{display:flex;align-items:center;gap:6px;border:1px solid transparent;background:transparent;border-radius:14px;padding:10px 11px;font-size:.78rem;cursor:pointer;transition:.2s;white-space:nowrap}.nav-button:hover{background:#ffffff12}.nav-button.active{background:linear-gradient(135deg,var(--purple),var(--pink));box-shadow:0 9px 24px #8b5cf65c}.profile-actions{display:flex;gap:8px;align-items:center}.user-chip{padding:10px 13px;border-radius:13px;background:linear-gradient(135deg,#22d3ee40,#8b5cf652);font-size:.78rem}.primary-button,.ghost-button,.secondary-button{border:0;border-radius:14px;padding:12px 18px;font-weight:700;cursor:pointer;transition:transform .2s,box-shadow .2s,background .2s}.primary-button{background:linear-gradient(135deg,var(--cyan),var(--purple));box-shadow:0 12px 30px #38bdf840}.primary-button:hover,.ghost-button:hover,.secondary-button:hover{transform:translateY(-2px)}.ghost-button{background:#ffffff12;border:1px solid var(--border)}.secondary-button{background:linear-gradient(135deg,#8b5cf6cc,#ec4899cc)}.large{padding:16px 25px;font-size:1rem}.wide{width:100%}.small-button{padding:8px 11px;font-size:.74rem}.text-button{display:block;margin:18px auto 0;border:0;background:transparent;color:#c4b5fd;cursor:pointer}.hero{min-height:100vh;display:grid;grid-template-columns:1.08fr .92fr;align-items:center;gap:60px;padding-top:135px}.hero-copy{position:relative}.orb-logo{display:grid;place-items:center;width:82px;height:82px;margin-bottom:30px;border-radius:50%;font-size:2.4rem;background:linear-gradient(145deg,var(--purple),var(--pink));box-shadow:0 0 70px #8b5cf680;animation:float 4s ease-in-out infinite}@keyframes float{50%{transform:translateY(-11px)}}.eyebrow{color:#67e8f9;font-size:.78rem;font-weight:800;text-transform:uppercase;letter-spacing:.18em}.hero h1 span,.section-heading h1,.section-heading h2{background:linear-gradient(90deg,#fff,#a5f3fc 35%,#c4b5fd 70%,#f9a8d4);-webkit-background-clip:text;color:transparent}.lead{color:#c3cae0;font-size:1.14rem;max-width:700px}.lead.small{font-size:1rem}.button-row{display:flex;gap:14px;align-items:center;flex-wrap:wrap;margin:34px 0}.button-row.compact{margin:17px 0 0}.stats{display:grid;grid-template-columns:repeat(4,1fr);gap:12px;margin-top:55px}.stats div{padding:18px 10px;border:1px solid var(--border);border-radius:18px;background:#ffffff0b;text-align:center}.stats strong{display:block;font-size:1.35rem;color:#a5f3fc}.stats span{color:var(--muted);font-size:.72rem}.hero-visual{position:relative;height:520px;display:grid;place-items:center}.planet{position:relative;display:grid;place-items:center;width:270px;height:270px;border-radius:50%;background:radial-gradient(circle at 35% 30%,#22d3ee,#2563eb 35%,#4c1d95 70%,#090d25 72%);box-shadow:0 0 90px #3b82f673;animation:float 6s ease-in-out infinite}.planet span{font-size:8rem;filter:saturate(.85)}.planet-ring{position:absolute;width:390px;height:105px;border:2px solid rgba(196,181,253,.5);border-radius:50%;transform:rotate(-15deg);box-shadow:0 0 20px #c4b5fd40}.formula-card{position:absolute;padding:13px 18px;border-radius:15px;border:1px solid var(--border);background:#11183cb8;-webkit-backdrop-filter:blur(16px);backdrop-filter:blur(16px);color:#a5f3fc;box-shadow:0 18px 50px #0000004d}.formula-one{top:90px;left:20px}.formula-two{right:5px;top:190px}.formula-three{bottom:80px;left:40px}.section-heading{max-width:780px;margin:0 auto 55px;text-align:center}.section-heading h1{font-size:clamp(2.7rem,5vw,4.8rem)}.section-heading p:last-child{color:var(--muted)}.compact-heading{margin-top:100px}.feature-grid{display:grid;grid-template-columns:repeat(4,1fr);gap:18px}.feature-card{min-height:230px;padding:27px;border:1px solid var(--border);border-radius:24px;background:linear-gradient(145deg,#ffffff13,#ffffff06);text-align:left;cursor:pointer;transition:.25s}.feature-card:hover{transform:translateY(-7px);border-color:#67e8f966;box-shadow:0 22px 55px #00000040}.feature-card.static{cursor:default}.feature-icon{display:grid;place-items:center;width:50px;height:50px;margin-bottom:24px;border-radius:16px;background:linear-gradient(135deg,#22d3ee40,#8b5cf659);font-size:1.45rem}.feature-card p{color:var(--muted);font-size:.86rem;min-height:65px}.feature-card b{color:#67e8f9;font-size:.8rem}.image-story,.mission-grid,.story-panel{display:grid;grid-template-columns:1fr 1fr;gap:60px;align-items:center}.image-story img,.mission-grid img,.story-panel img{width:100%;height:420px;object-fit:cover;border-radius:30px;border:1px solid var(--border);box-shadow:0 25px 70px #00000059}.home-showcase{display:grid;grid-template-columns:1fr 1fr;align-items:center;gap:70px;width:min(1400px,calc(100% - 40px))}.showcase-copy h2{margin:24px 0 30px;font-size:clamp(2.4rem,4vw,4rem)}.showcase-copy .lead{margin-bottom:34px;font-size:1.05rem}.showcase-label{display:inline-block;margin:0;padding:11px 22px;border:1px solid;border-radius:999px;font-weight:600}.cyan-label{color:#67e8f9;border-color:#22d3ee73;background:#0891b233}.pink-label{color:#f9a8d4;border-color:#ec489973;background:#9d174d38}.showcase-image{padding:20px;border:1px solid;border-radius:32px;background:#14193ab3}.showcase-image img{display:block;width:100%;height:420px;object-fit:cover;border-radius:23px}.blue-frame{border-color:#22d3ee6b;box-shadow:0 24px 70px #2563eb29}.pink-frame{border-color:#ec48996b;background:#500c307a;box-shadow:0 24px 70px #be185d24}.topics-list{display:grid;gap:16px;max-width:1020px;margin:auto}.topic-card{border:1px solid var(--border);border-radius:24px;background:var(--panel);-webkit-backdrop-filter:blur(20px);backdrop-filter:blur(20px);overflow:hidden}.topic-card.open{border-color:#67e8f947}.topic-summary{width:100%;display:grid;grid-template-columns:auto 1fr auto;align-items:center;gap:18px;border:0;background:transparent;padding:20px 23px;text-align:left;cursor:pointer}.topic-summary>span:nth-child(2) strong,.topic-summary small{display:block}.topic-summary small{color:var(--muted);margin-top:5px}.topic-summary>b{font-size:1.6rem;color:#a5f3fc}.topic-icon{display:grid;place-items:center;width:52px;height:52px;border-radius:16px;font-size:1.4rem;box-shadow:0 12px 30px #00000040}.topic-content{padding:25px;border-top:1px solid var(--border)}.theory-grid{display:grid;grid-template-columns:1.5fr .7fr;gap:16px;margin-bottom:25px}.glass-panel,.formula-panel{border:1px solid var(--border);border-radius:20px;background:#ffffff0b;padding:22px}.glass-panel p{color:#c3cae0}.glass-panel p+p{margin-top:16px}.formula-panel{display:grid;place-items:center;align-content:center;background:linear-gradient(145deg,#22d3ee1a,#8b5cf624)}.formula-panel span{color:var(--muted);text-transform:uppercase;font-size:.7rem;letter-spacing:.16em}.formula-panel strong{margin-top:15px;font-size:clamp(1.7rem,4vw,2.7rem);color:#a5f3fc;white-space:nowrap}.topic-optics .theory-grid{grid-template-columns:1fr}.topic-optics .formula-panel{width:fit-content;min-width:280px;justify-self:start;padding:15px 22px}.topic-optics .formula-panel strong{margin-top:8px;font-size:clamp(1.05rem,1.7vw,1.35rem)}.physics-canvas{border:1px solid var(--border);border-radius:20px;overflow:hidden;margin-bottom:28px}.physics-canvas canvas{display:block;width:100%;height:300px}.simulation-readout{display:grid;grid-template-columns:repeat(2,minmax(0,1fr));gap:8px;padding:12px 18px;border-top:1px solid var(--border);border-bottom:1px solid var(--border);background:#22d3ee0f}.simulation-readout span{min-width:0;color:#dff9ff;font-size:.82rem;font-weight:700}.canvas-controls{display:grid;grid-template-columns:minmax(0,1fr) auto;align-items:end;gap:20px;padding:16px 18px 18px;background:#ffffff0a}.canvas-control-grid{display:grid;grid-template-columns:repeat(auto-fit,minmax(190px,1fr));gap:14px 18px}.newton-controls .canvas-control-grid{grid-template-columns:1.15fr repeat(3,minmax(0,1fr))}.topic-optics .canvas-control-grid{grid-template-columns:repeat(5,minmax(145px,1fr))}.canvas-controls label{min-width:0;color:var(--muted);font-size:.78rem}.canvas-controls label>span{display:flex;justify-content:space-between;gap:12px;margin-bottom:7px}.canvas-controls label b{color:#f8fafc;white-space:nowrap}.canvas-controls select{width:100%;min-height:40px;border:1px solid var(--border);border-radius:11px;background:#101736;color:#f8fafc;padding:0 10px}.canvas-actions{display:flex;gap:9px}.topic-optics .canvas-actions{align-self:end}.topic-optics .canvas-actions button{min-height:34px;padding:7px 11px;font-size:.72rem;white-space:nowrap}.message .katex-display{max-width:100%;overflow-x:auto;overflow-y:hidden;padding:4px 0}.message .katex{font-size:1.04em}input[type=range]{display:block;width:100%;margin-top:8px;accent-color:var(--purple)}.quiz{padding:22px;border-radius:20px;border:1px solid rgba(236,72,153,.22);background:linear-gradient(145deg,#ec489914,#8b5cf614)}.quiz-options{display:grid;grid-template-columns:1fr 1fr;gap:10px;margin:17px 0}.quiz-options button{padding:13px;border:1px solid var(--border);border-radius:12px;background:#ffffff0d;text-align:left;cursor:pointer}.quiz-options button.selected{border-color:#67e8f9;background:#22d3ee21}.quiz-options button.correct{border-color:#22c55e;background:#22c55e2e}.quiz-options button.wrong{border-color:#ef4444;background:#ef44442e}.result{margin:12px 0 0;font-weight:700}.result.success{color:#86efac}.result.error{color:#fca5a5}.simulator-page{width:min(1500px,calc(100% - 40px))}.experiment-library{margin-bottom:24px;padding:24px}.experiment-library-heading{display:flex;align-items:end;justify-content:space-between;gap:30px;margin-bottom:20px}.experiment-library-heading h2{margin:7px 0 0;font-size:1.45rem}.experiment-library-heading>p{max-width:520px;margin:0;color:var(--muted);line-height:1.6}.experiment-buttons{display:grid;grid-template-columns:repeat(5,minmax(0,1fr));gap:11px}.experiment-buttons button{min-height:118px;padding:14px 10px;border:1px solid var(--border);border-radius:16px;background:#ffffff0b;cursor:pointer;transition:transform .2s,border-color .2s,background .2s}.experiment-buttons button:hover{transform:translateY(-3px);border-color:#67e8f973}.experiment-buttons button.active{border-color:var(--cyan);background:linear-gradient(145deg,#22d3ee29,#8b5cf61f);box-shadow:0 12px 28px #22d3ee17}.experiment-buttons span{display:block;margin-bottom:7px;font-size:1.45rem}.experiment-buttons strong,.experiment-buttons small{display:block}.experiment-buttons strong{font-size:.82rem}.experiment-buttons small{margin-top:6px;color:var(--muted);font-size:.67rem;line-height:1.35}.simulator-workspace{display:grid;grid-template-columns:minmax(0,1fr) 330px;gap:24px;align-items:start}.simulation-panel{padding:0;overflow:hidden}.simulation-panel-header{display:flex;align-items:center;justify-content:space-between;gap:20px;padding:24px 28px;border-bottom:1px solid var(--border)}.simulation-panel-header h2,.tool-panel h2,.physics-settings h2{margin:0;font-size:1.65rem}.simulation-panel-header small{display:block;margin-top:6px;color:var(--muted)}.simulation-actions{display:flex;gap:12px}.simulation-actions button{display:grid;place-items:center;width:50px;height:50px;border:0;border-radius:50%;color:#fff;font-size:1.1rem;font-weight:800;cursor:pointer;transition:transform .2s,filter .2s}.simulation-actions button:hover{transform:translateY(-2px);filter:brightness(1.1)}.play-control{background:#00c878;box-shadow:0 12px 30px #00c87840}.play-control.paused{background:#f59e0b}.delete-control{background:#ff2f83;box-shadow:0 12px 30px #ff2f8340}.simulator-sidebar{display:grid;gap:18px}.tool-panel h3{margin:22px 0 14px;color:var(--muted);font-size:.82rem;text-transform:uppercase;letter-spacing:.08em}.tool-panel label,.physics-settings label{display:block;margin-top:23px;color:#d5daeb;font-size:.86rem}.shape-buttons{display:grid;grid-template-columns:1fr 1fr;gap:8px}.shape-buttons button{border:1px solid var(--border);border-radius:13px;padding:12px 7px;background:#ffffff0a;cursor:pointer}.shape-buttons button span{display:block;margin-bottom:4px;color:#67e8f9}.shape-buttons button.selected{border-color:var(--cyan);background:#22d3ee21}.physics-settings{padding-bottom:28px}.physics-settings label+label{margin-top:30px}.simulation-stage{position:relative;height:610px;overflow:hidden;background:#080d24;cursor:crosshair}.simulation-stage canvas{display:block;width:100%;height:100%}.stage-hint{position:absolute;top:50%;left:50%;transform:translate(-50%,-50%);color:#ffffff42;pointer-events:none}.simulator-footer{justify-content:flex-start}.status-message{color:#86efac;font-size:.8rem}.chat-window{border:1px solid var(--border);border-radius:25px;background:#0c112ec7;-webkit-backdrop-filter:blur(20px);backdrop-filter:blur(20px);overflow:hidden;box-shadow:0 25px 70px #0000004d}.chat-title{display:flex;gap:12px;align-items:center;padding:18px 21px;border-bottom:1px solid var(--border)}.chat-title>span{display:grid;place-items:center;width:42px;height:42px;border-radius:13px;background:linear-gradient(135deg,var(--cyan),var(--purple))}.messages{min-height:350px;max-height:520px;overflow-y:auto;padding:23px;display:flex;flex-direction:column;gap:14px}.message{max-width:78%;padding:13px 16px;border-radius:17px;line-height:1.6;font-size:.88rem}.message.ai{align-self:flex-start;background:#ffffff12;border-bottom-left-radius:5px}.message.user{align-self:flex-end;background:linear-gradient(135deg,var(--purple),#7c3aed);border-bottom-right-radius:5px}.message.message-error{border:1px solid rgba(248,113,113,.45);background:#7f1d1d40;color:#fecaca}.thinking-message{display:flex;align-items:center;gap:5px;color:var(--muted)}.thinking-message span{width:6px;height:6px;border-radius:50%;background:#67e8f9;animation:thinkingDot 1s infinite ease-in-out}.thinking-message span:nth-child(2){animation-delay:.15s}.thinking-message span:nth-child(3){animation-delay:.3s;margin-right:5px}@keyframes thinkingDot{50%{opacity:.3;transform:translateY(-3px)}}.suggestion-row{display:flex;gap:8px;flex-wrap:wrap;padding:0 20px 18px}.suggestion-row button{border:1px solid rgba(103,232,249,.24);border-radius:999px;padding:8px 12px;color:#a5f3fc;background:#22d3ee12;cursor:pointer;font-size:.75rem}.chat-input{display:flex;gap:10px;padding:16px;border-top:1px solid var(--border)}.chat-input input,.modal-card input,.search-input{width:100%;border:1px solid var(--border);border-radius:13px;outline:none;padding:13px 15px;color:#fff;background:#ffffff0e}.chat-input input:focus,.modal-card input:focus,.search-input:focus{border-color:var(--cyan);box-shadow:0 0 0 3px #22d3ee1a}.online-strip{padding:13px 20px;color:#86efac;border-bottom:1px solid var(--border);font-size:.76rem}.online-dot{display:inline-block;width:8px;height:8px;margin-right:7px;border-radius:50%;background:#22c55e;box-shadow:0 0 12px #22c55e}.community-messages{min-height:410px;padding:22px;display:grid;align-content:start;gap:20px}.community-message{display:flex;align-items:flex-start;gap:13px}.avatar{display:grid;place-items:center;flex:0 0 auto;width:43px;height:43px;border-radius:14px;background:#ffffff14;font-size:1.35rem}.community-message header{display:flex;gap:10px;align-items:center}.community-message time{color:var(--muted);font-size:.7rem}.community-message p{margin:5px 0 0;color:#c3cae0;font-size:.86rem}.tips-grid{display:grid;grid-template-columns:repeat(3,1fr);gap:13px;margin-top:18px}.tips-grid div{padding:17px;border:1px solid var(--border);border-radius:17px;background:#ffffff0a}.tips-grid strong,.tips-grid span{display:block;margin-top:4px;font-size:.78rem}.tips-grid span{color:var(--muted)}.friends-chat-layout{display:grid;grid-template-columns:340px 1fr;min-height:590px;gap:16px}.conversations{padding:14px}.conversations h3{padding:10px}.conversations button{width:100%;display:grid;grid-template-columns:auto 1fr auto;align-items:center;gap:11px;border:0;border-radius:16px;padding:13px;background:transparent;text-align:left;cursor:pointer}.conversations button:hover,.conversations button.active{background:#8b5cf629}.conversations button span:nth-child(2) strong,.conversations button small{display:block}.conversations button small{max-width:175px;margin-top:4px;color:var(--muted);overflow:hidden;white-space:nowrap;text-overflow:ellipsis}.conversations button b{display:grid;place-items:center;width:23px;height:23px;border-radius:50%;background:var(--purple);font-size:.68rem}.friend-dialog{padding:0;display:flex;flex-direction:column}.friend-dialog>header{display:flex;gap:12px;align-items:center;padding:15px 18px;border-bottom:1px solid var(--border)}.dialog-body{flex:1;padding:22px;display:flex;flex-direction:column;gap:12px}.empty-state{display:grid;place-items:center;place-content:center;flex:1;text-align:center;color:var(--muted)}.empty-state>span{font-size:3rem}.friend-tabs{display:flex;gap:8px;margin-bottom:15px}.friend-tabs button{flex:1;border:1px solid var(--border);border-radius:14px;padding:12px;background:#ffffff0a;cursor:pointer}.friend-tabs button.active{border-color:var(--cyan);background:#22d3ee1f}.people-panel{padding:15px;min-height:300px}.search-input{margin-bottom:12px}.person-row{display:flex;align-items:center;gap:13px;padding:13px;border-bottom:1px solid rgba(255,255,255,.07)}.person-row:last-child{border-bottom:0}.person-row>div:nth-child(2){flex:1}.person-row strong,.person-row small{display:block}.person-row small{color:var(--muted);margin-top:3px}.person-row .online-text{color:#86efac}.row-actions{display:flex;gap:7px}.friend-stats{max-width:650px;margin:20px auto 0;grid-template-columns:repeat(3,1fr)}.mission-grid{margin-bottom:40px}.story-panel{margin-top:100px;padding:30px;border:1px solid var(--border);border-radius:30px;background:var(--panel)}.story-panel img{height:330px}.team-grid{display:grid;grid-template-columns:repeat(4,1fr);gap:16px}.team-grid article{padding:25px;border:1px solid var(--border);border-radius:22px;background:#ffffff0a;text-align:center}.team-grid span{display:grid;place-items:center;width:80px;height:80px;margin:0 auto 18px;border-radius:50%;background:linear-gradient(135deg,#22d3ee33,#8b5cf64d);font-size:2.4rem}.team-grid p{color:var(--muted);font-size:.8rem}.modal-backdrop{position:fixed;inset:0;display:grid;place-items:center;padding:20px;background:#01030cc2;-webkit-backdrop-filter:blur(12px);backdrop-filter:blur(12px);z-index:100}.modal-card{position:relative;width:min(440px,100%);padding:32px;border:1px solid var(--border);border-radius:27px;background:#101633;box-shadow:0 30px 100px #00000080}.modal-close{position:absolute;top:14px;right:16px;border:0;background:transparent;color:var(--muted);font-size:1.8rem;cursor:pointer}.modal-icon{display:grid;place-items:center;width:62px;height:62px;margin-bottom:20px;border-radius:18px;background:linear-gradient(135deg,var(--cyan),var(--purple));font-size:1.8rem}.modal-card>p{color:var(--muted)}.modal-card label{display:block;margin:15px 0;color:var(--muted);font-size:.78rem}.modal-card input{margin-top:6px}.privacy-note{display:block;margin-top:20px;color:var(--muted);text-align:center}@media(max-width:1180px){.site-header{flex-wrap:wrap}.brand{min-width:auto}.main-nav{order:3;width:100%;overflow-x:auto;justify-content:flex-start;padding-bottom:2px}.header-login,.profile-actions{margin-left:auto}.page-section{padding-top:190px}.feature-grid,.team-grid{grid-template-columns:repeat(2,1fr)}}@media(max-width:820px){.section{width:min(100% - 28px,700px);padding-top:75px;padding-bottom:75px}.page-section{padding-top:200px}.hero{grid-template-columns:1fr;padding-top:220px;text-align:center}.hero-copy .lead,.orb-logo{margin-left:auto;margin-right:auto}.button-row{justify-content:center}.hero-visual{height:400px}.planet{width:210px;height:210px}.planet span{font-size:6rem}.planet-ring{width:300px}.stats{grid-template-columns:repeat(2,1fr)}.image-story,.mission-grid,.story-panel,.home-showcase{grid-template-columns:1fr}.home-showcase{gap:35px}.reverse-showcase .showcase-image{order:2}.image-story img,.mission-grid img{height:320px}.showcase-image img{height:340px}.theory-grid,.simulator-workspace,.friends-chat-layout,.topic-optics .theory-grid{grid-template-columns:1fr}.topic-optics .canvas-control-grid,.newton-controls .canvas-control-grid{grid-template-columns:repeat(2,minmax(0,1fr))}.experiment-buttons{grid-template-columns:repeat(3,1fr)}.experiment-library-heading{align-items:flex-start;flex-direction:column;gap:10px}.friends-chat-layout{min-height:900px}.conversations{max-height:320px;overflow-y:auto}.simulation-stage{height:520px}.simulator-sidebar{grid-template-columns:1fr 1fr}}@media(max-width:560px){.site-header{top:8px;width:calc(100% - 16px);border-radius:18px}.brand small{display:none}.brand strong{font-size:.86rem}.brand-mark{width:38px;height:38px}.nav-button{padding:8px 9px;font-size:.7rem}.user-chip{display:none}.feature-grid,.team-grid,.quiz-options,.tips-grid{grid-template-columns:1fr}.home-showcase{width:calc(100% - 28px)}.showcase-image{padding:12px;border-radius:23px}.showcase-image img{height:260px;border-radius:16px}.showcase-copy h2{margin-top:18px}.page-section{padding-top:190px}.hero{padding-top:205px}.hero-visual{height:330px}.formula-card{font-size:.72rem}.formula-one{left:0}.formula-two{right:0}.planet-ring{width:250px}.topic-summary{padding:16px;gap:11px}.topic-summary small{font-size:.7rem}.topic-content{padding:15px}.canvas-controls{grid-template-columns:1fr;align-items:stretch}.newton-controls .canvas-control-grid,.topic-optics .canvas-control-grid{grid-template-columns:1fr}.canvas-actions{flex-wrap:wrap}.canvas-actions button{flex:1}.simulation-readout{grid-template-columns:1fr}.chat-input{align-items:stretch;flex-direction:column}.simulator-page{width:calc(100% - 20px)}.experiment-library{padding:17px}.experiment-buttons{grid-template-columns:1fr 1fr}.simulator-sidebar{grid-template-columns:1fr}.simulation-panel-header{padding:18px}.simulation-panel-header h2{font-size:1.25rem}.simulation-actions button{width:43px;height:43px}.simulation-stage{height:430px}.friend-tabs{flex-direction:column}.person-row{align-items:flex-start;flex-wrap:wrap}.row-actions{width:100%}}