@font-face{font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(/static/media/KaTeX_AMS-Regular.73ea273a72f4aca30ca5.woff2) format("woff2"),url(/static/media/KaTeX_AMS-Regular.d562e886c52f12660a41.woff) format("woff"),url(/static/media/KaTeX_AMS-Regular.853be92419a6c3766b9a.ttf) format("truetype")}@font-face{font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url(/static/media/KaTeX_Caligraphic-Bold.a1abf90dfd72792a577a.woff2) format("woff2"),url(/static/media/KaTeX_Caligraphic-Bold.d757c535a2e5902f1325.woff) format("woff"),url(/static/media/KaTeX_Caligraphic-Bold.7489a2fbfb9bfe704420.ttf) format("truetype")}@font-face{font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url(/static/media/KaTeX_Caligraphic-Regular.d6484fce1ef428d5bd94.woff2) format("woff2"),url(/static/media/KaTeX_Caligraphic-Regular.db074fa22cf224af93d7.woff) format("woff"),url(/static/media/KaTeX_Caligraphic-Regular.7e873d3833eb108a0758.ttf) format("truetype")}@font-face{font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url(/static/media/KaTeX_Fraktur-Bold.931d67ea207ab37ee693.woff2) format("woff2"),url(/static/media/KaTeX_Fraktur-Bold.354501bac435c3264834.woff) format("woff"),url(/static/media/KaTeX_Fraktur-Bold.4c761b3711973ab04edf.ttf) format("truetype")}@font-face{font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url(/static/media/KaTeX_Fraktur-Regular.172d3529b26f8cedef6b.woff2) format("woff2"),url(/static/media/KaTeX_Fraktur-Regular.6fdf0ac577be0ba82a4c.woff) format("woff"),url(/static/media/KaTeX_Fraktur-Regular.ed305b5434865e06ffde.ttf) format("truetype")}@font-face{font-family:KaTeX_Main;font-style:normal;font-weight:700;src:url(/static/media/KaTeX_Main-Bold.39890742bc957b368704.woff2) format("woff2"),url(/static/media/KaTeX_Main-Bold.0c3b8929d377c0e9b2f3.woff) format("woff"),url(/static/media/KaTeX_Main-Bold.8169508bf58f8bd92ad8.ttf) format("truetype")}@font-face{font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url(/static/media/KaTeX_Main-BoldItalic.20f389c4120be058d80a.woff2) format("woff2"),url(/static/media/KaTeX_Main-BoldItalic.428978dc7837d46de091.woff) format("woff"),url(/static/media/KaTeX_Main-BoldItalic.828abcb200061cffbaae.ttf) format("truetype")}@font-face{font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url(/static/media/KaTeX_Main-Italic.fe2176f79edaa716e621.woff2) format("woff2"),url(/static/media/KaTeX_Main-Italic.fd947498bc16392e76c2.woff) format("woff"),url(/static/media/KaTeX_Main-Italic.fa675e5e4bec9eb250b6.ttf) format("truetype")}@font-face{font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url(/static/media/KaTeX_Main-Regular.f650f111a3b890d116f1.woff2) format("woff2"),url(/static/media/KaTeX_Main-Regular.4f35fbcc9ee8614c2bcc.woff) format("woff"),url(/static/media/KaTeX_Main-Regular.9eba1d77abcf2aa6e94e.ttf) format("truetype")}@font-face{font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url(/static/media/KaTeX_Math-BoldItalic.dcbcbd93bac0470b462d.woff2) format("woff2"),url(/static/media/KaTeX_Math-BoldItalic.3f07ed67f06c720120ce.woff) format("woff"),url(/static/media/KaTeX_Math-BoldItalic.bf2d440b3a42ea78a998.ttf) format("truetype")}@font-face{font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url(/static/media/KaTeX_Math-Italic.6d3d25f4820d0da8f01f.woff2) format("woff2"),url(/static/media/KaTeX_Math-Italic.96759856b4e70f3a8338.woff) format("woff"),url(/static/media/KaTeX_Math-Italic.8a5f936332e8028c7278.ttf) format("truetype")}@font-face{font-family:"KaTeX_SansSerif";font-style:normal;font-weight:700;src:url(/static/media/KaTeX_SansSerif-Bold.95591a929f0d32aa282a.woff2) format("woff2"),url(/static/media/KaTeX_SansSerif-Bold.b9cd458ac6d5889ff9c3.woff) format("woff"),url(/static/media/KaTeX_SansSerif-Bold.5b49f4993ae22d7975b4.ttf) format("truetype")}@font-face{font-family:"KaTeX_SansSerif";font-style:italic;font-weight:400;src:url(/static/media/KaTeX_SansSerif-Italic.7d393d382f3e7fb1c637.woff2) format("woff2"),url(/static/media/KaTeX_SansSerif-Italic.8d593cfaa96238d5e2f8.woff) format("woff"),url(/static/media/KaTeX_SansSerif-Italic.b257a18c016f37ee4543.ttf) format("truetype")}@font-face{font-family:"KaTeX_SansSerif";font-style:normal;font-weight:400;src:url(/static/media/KaTeX_SansSerif-Regular.cd5e231e0cc53b2cb2c0.woff2) format("woff2"),url(/static/media/KaTeX_SansSerif-Regular.02271ec5cb9f5b4588ac.woff) format("woff"),url(/static/media/KaTeX_SansSerif-Regular.2f7bc363fc5424ebda59.ttf) format("truetype")}@font-face{font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url(/static/media/KaTeX_Script-Regular.c81d1b2a4b75d3eded60.woff2) format("woff2"),url(/static/media/KaTeX_Script-Regular.073b3402d036714b4370.woff) format("woff"),url(/static/media/KaTeX_Script-Regular.fc9ba5249878cd8f8d88.ttf) format("truetype")}@font-face{font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url(/static/media/KaTeX_Size1-Regular.6eec866c69313624be60.woff2) format("woff2"),url(/static/media/KaTeX_Size1-Regular.0108e89c9003e8c14ea3.woff) format("woff"),url(/static/media/KaTeX_Size1-Regular.6de7d4b539221a49e9e2.ttf) format("truetype")}@font-face{font-family:KaTeX_Size2;font-style:normal;font-weight:400;src:url(/static/media/KaTeX_Size2-Regular.2960900c4f271311eb36.woff2) format("woff2"),url(/static/media/KaTeX_Size2-Regular.3a99e70aee4076660d38.woff) format("woff"),url(/static/media/KaTeX_Size2-Regular.57f5c1837853986ea1db.ttf) format("truetype")}@font-face{font-family:KaTeX_Size3;font-style:normal;font-weight:400;src:url(/static/media/KaTeX_Size3-Regular.e1951519f6f0596f7356.woff2) format("woff2"),url(/static/media/KaTeX_Size3-Regular.7947224e8a9914fa332b.woff) format("woff"),url(/static/media/KaTeX_Size3-Regular.8d6b6822586eea3d3b20.ttf) format("truetype")}@font-face{font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url(/static/media/KaTeX_Size4-Regular.e418bf257af1052628d8.woff2) format("woff2"),url(/static/media/KaTeX_Size4-Regular.aeffd8025cba3647f1a6.woff) format("woff"),url(/static/media/KaTeX_Size4-Regular.4ad7c7e8bb8d10a34bb7.ttf) format("truetype")}@font-face{font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url(/static/media/KaTeX_Typewriter-Regular.c295e7f71970f03c0549.woff2) format("woff2"),url(/static/media/KaTeX_Typewriter-Regular.4c6b94fd1d07f8beff7c.woff) format("woff"),url(/static/media/KaTeX_Typewriter-Regular.c5c02d763c89380dcb4e.ttf) format("truetype")}.katex{font:normal 1.21em KaTeX_Main,Times New Roman,serif;line-height:1.2;text-indent:0;text-rendering:auto}.katex *{-ms-high-contrast-adjust:none!important;border-color:currentColor}.katex .katex-version:after{content:"0.16.21"}.katex .katex-mathml{clip:rect(1px,1px,1px,1px);border:0;height:1px;overflow:hidden;padding:0;position:absolute;width:1px}.katex .katex-html>.newline{display:block}.katex .base{position:relative;white-space:nowrap;width:min-content}.katex .base,.katex .strut{display:inline-block}.katex .textbf{font-weight:700}.katex .textit{font-style:italic}.katex .textrm{font-family:KaTeX_Main}.katex .textsf{font-family:KaTeX_SansSerif}.katex .texttt{font-family:KaTeX_Typewriter}.katex .mathnormal{font-family:KaTeX_Math;font-style:italic}.katex .mathit{font-family:KaTeX_Main;font-style:italic}.katex .mathrm{font-style:normal}.katex .mathbf{font-family:KaTeX_Main;font-weight:700}.katex .boldsymbol{font-family:KaTeX_Math;font-style:italic;font-weight:700}.katex .amsrm,.katex .mathbb,.katex .textbb{font-family:KaTeX_AMS}.katex .mathcal{font-family:KaTeX_Caligraphic}.katex .mathfrak,.katex .textfrak{font-family:KaTeX_Fraktur}.katex .mathboldfrak,.katex .textboldfrak{font-family:KaTeX_Fraktur;font-weight:700}.katex .mathtt{font-family:KaTeX_Typewriter}.katex .mathscr,.katex .textscr{font-family:KaTeX_Script}.katex .mathsf,.katex .textsf{font-family:KaTeX_SansSerif}.katex .mathboldsf,.katex .textboldsf{font-family:KaTeX_SansSerif;font-weight:700}.katex .mathitsf,.katex .mathsfit,.katex .textitsf{font-family:KaTeX_SansSerif;font-style:italic}.katex .mainrm{font-family:KaTeX_Main;font-style:normal}.katex .vlist-t{border-collapse:collapse;display:inline-table;table-layout:fixed}.katex .vlist-r{display:table-row}.katex .vlist{display:table-cell;position:relative;vertical-align:bottom}.katex .vlist>span{display:block;height:0;position:relative}.katex .vlist>span>span{display:inline-block}.katex .vlist>span>.pstrut{overflow:hidden;width:0}.katex .vlist-t2{margin-right:-2px}.katex .vlist-s{display:table-cell;font-size:1px;min-width:2px;vertical-align:bottom;width:2px}.katex .vbox{align-items:baseline;display:inline-flex;flex-direction:column}.katex .hbox{width:100%}.katex .hbox,.katex .thinbox{display:inline-flex;flex-direction:row}.katex .thinbox{max-width:0;width:0}.katex .msupsub{text-align:left}.katex .mfrac>span>span{text-align:center}.katex .mfrac .frac-line{border-bottom-style:solid;display:inline-block;width:100%}.katex .hdashline,.katex .hline,.katex .mfrac .frac-line,.katex .overline .overline-line,.katex .rule,.katex .underline .underline-line{min-height:1px}.katex .mspace{display:inline-block}.katex .clap,.katex .llap,.katex .rlap{position:relative;width:0}.katex .clap>.inner,.katex .llap>.inner,.katex .rlap>.inner{position:absolute}.katex .clap>.fix,.katex .llap>.fix,.katex .rlap>.fix{display:inline-block}.katex .llap>.inner{right:0}.katex .clap>.inner,.katex .rlap>.inner{left:0}.katex .clap>.inner>span{margin-left:-50%;margin-right:50%}.katex .rule{border:0 solid;display:inline-block;position:relative}.katex .hline,.katex .overline .overline-line,.katex .underline .underline-line{border-bottom-style:solid;display:inline-block;width:100%}.katex .hdashline{border-bottom-style:dashed;display:inline-block;width:100%}.katex .sqrt>.root{margin-left:.2777777778em;margin-right:-.5555555556em}.katex .fontsize-ensurer.reset-size1.size1,.katex .sizing.reset-size1.size1{font-size:1em}.katex .fontsize-ensurer.reset-size1.size2,.katex .sizing.reset-size1.size2{font-size:1.2em}.katex .fontsize-ensurer.reset-size1.size3,.katex .sizing.reset-size1.size3{font-size:1.4em}.katex .fontsize-ensurer.reset-size1.size4,.katex .sizing.reset-size1.size4{font-size:1.6em}.katex .fontsize-ensurer.reset-size1.size5,.katex .sizing.reset-size1.size5{font-size:1.8em}.katex .fontsize-ensurer.reset-size1.size6,.katex .sizing.reset-size1.size6{font-size:2em}.katex .fontsize-ensurer.reset-size1.size7,.katex .sizing.reset-size1.size7{font-size:2.4em}.katex .fontsize-ensurer.reset-size1.size8,.katex .sizing.reset-size1.size8{font-size:2.88em}.katex .fontsize-ensurer.reset-size1.size9,.katex .sizing.reset-size1.size9{font-size:3.456em}.katex .fontsize-ensurer.reset-size1.size10,.katex .sizing.reset-size1.size10{font-size:4.148em}.katex .fontsize-ensurer.reset-size1.size11,.katex .sizing.reset-size1.size11{font-size:4.976em}.katex .fontsize-ensurer.reset-size2.size1,.katex .sizing.reset-size2.size1{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size2.size2,.katex .sizing.reset-size2.size2{font-size:1em}.katex .fontsize-ensurer.reset-size2.size3,.katex .sizing.reset-size2.size3{font-size:1.1666666667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .sizing.reset-size2.size4{font-size:1.3333333333em}.katex .fontsize-ensurer.reset-size2.size5,.katex .sizing.reset-size2.size5{font-size:1.5em}.katex .fontsize-ensurer.reset-size2.size6,.katex .sizing.reset-size2.size6{font-size:1.6666666667em}.katex .fontsize-ensurer.reset-size2.size7,.katex .sizing.reset-size2.size7{font-size:2em}.katex .fontsize-ensurer.reset-size2.size8,.katex .sizing.reset-size2.size8{font-size:2.4em}.katex .fontsize-ensurer.reset-size2.size9,.katex .sizing.reset-size2.size9{font-size:2.88em}.katex .fontsize-ensurer.reset-size2.size10,.katex .sizing.reset-size2.size10{font-size:3.4566666667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .sizing.reset-size2.size11{font-size:4.1466666667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .sizing.reset-size3.size1{font-size:.7142857143em}.katex .fontsize-ensurer.reset-size3.size2,.katex .sizing.reset-size3.size2{font-size:.8571428571em}.katex .fontsize-ensurer.reset-size3.size3,.katex .sizing.reset-size3.size3{font-size:1em}.katex .fontsize-ensurer.reset-size3.size4,.katex .sizing.reset-size3.size4{font-size:1.1428571429em}.katex .fontsize-ensurer.reset-size3.size5,.katex .sizing.reset-size3.size5{font-size:1.2857142857em}.katex .fontsize-ensurer.reset-size3.size6,.katex .sizing.reset-size3.size6{font-size:1.4285714286em}.katex .fontsize-ensurer.reset-size3.size7,.katex .sizing.reset-size3.size7{font-size:1.7142857143em}.katex .fontsize-ensurer.reset-size3.size8,.katex .sizing.reset-size3.size8{font-size:2.0571428571em}.katex .fontsize-ensurer.reset-size3.size9,.katex .sizing.reset-size3.size9{font-size:2.4685714286em}.katex .fontsize-ensurer.reset-size3.size10,.katex .sizing.reset-size3.size10{font-size:2.9628571429em}.katex .fontsize-ensurer.reset-size3.size11,.katex .sizing.reset-size3.size11{font-size:3.5542857143em}.katex .fontsize-ensurer.reset-size4.size1,.katex .sizing.reset-size4.size1{font-size:.625em}.katex .fontsize-ensurer.reset-size4.size2,.katex .sizing.reset-size4.size2{font-size:.75em}.katex .fontsize-ensurer.reset-size4.size3,.katex .sizing.reset-size4.size3{font-size:.875em}.katex .fontsize-ensurer.reset-size4.size4,.katex .sizing.reset-size4.size4{font-size:1em}.katex .fontsize-ensurer.reset-size4.size5,.katex .sizing.reset-size4.size5{font-size:1.125em}.katex .fontsize-ensurer.reset-size4.size6,.katex .sizing.reset-size4.size6{font-size:1.25em}.katex .fontsize-ensurer.reset-size4.size7,.katex .sizing.reset-size4.size7{font-size:1.5em}.katex .fontsize-ensurer.reset-size4.size8,.katex .sizing.reset-size4.size8{font-size:1.8em}.katex .fontsize-ensurer.reset-size4.size9,.katex .sizing.reset-size4.size9{font-size:2.16em}.katex .fontsize-ensurer.reset-size4.size10,.katex .sizing.reset-size4.size10{font-size:2.5925em}.katex .fontsize-ensurer.reset-size4.size11,.katex .sizing.reset-size4.size11{font-size:3.11em}.katex .fontsize-ensurer.reset-size5.size1,.katex .sizing.reset-size5.size1{font-size:.5555555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .sizing.reset-size5.size2{font-size:.6666666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .sizing.reset-size5.size3{font-size:.7777777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .sizing.reset-size5.size4{font-size:.8888888889em}.katex .fontsize-ensurer.reset-size5.size5,.katex .sizing.reset-size5.size5{font-size:1em}.katex .fontsize-ensurer.reset-size5.size6,.katex .sizing.reset-size5.size6{font-size:1.1111111111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .sizing.reset-size5.size7{font-size:1.3333333333em}.katex .fontsize-ensurer.reset-size5.size8,.katex .sizing.reset-size5.size8{font-size:1.6em}.katex .fontsize-ensurer.reset-size5.size9,.katex .sizing.reset-size5.size9{font-size:1.92em}.katex .fontsize-ensurer.reset-size5.size10,.katex .sizing.reset-size5.size10{font-size:2.3044444444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .sizing.reset-size5.size11{font-size:2.7644444444em}.katex .fontsize-ensurer.reset-size6.size1,.katex .sizing.reset-size6.size1{font-size:.5em}.katex .fontsize-ensurer.reset-size6.size2,.katex .sizing.reset-size6.size2{font-size:.6em}.katex .fontsize-ensurer.reset-size6.size3,.katex .sizing.reset-size6.size3{font-size:.7em}.katex .fontsize-ensurer.reset-size6.size4,.katex .sizing.reset-size6.size4{font-size:.8em}.katex .fontsize-ensurer.reset-size6.size5,.katex .sizing.reset-size6.size5{font-size:.9em}.katex .fontsize-ensurer.reset-size6.size6,.katex .sizing.reset-size6.size6{font-size:1em}.katex .fontsize-ensurer.reset-size6.size7,.katex .sizing.reset-size6.size7{font-size:1.2em}.katex .fontsize-ensurer.reset-size6.size8,.katex .sizing.reset-size6.size8{font-size:1.44em}.katex .fontsize-ensurer.reset-size6.size9,.katex .sizing.reset-size6.size9{font-size:1.728em}.katex .fontsize-ensurer.reset-size6.size10,.katex .sizing.reset-size6.size10{font-size:2.074em}.katex .fontsize-ensurer.reset-size6.size11,.katex .sizing.reset-size6.size11{font-size:2.488em}.katex .fontsize-ensurer.reset-size7.size1,.katex .sizing.reset-size7.size1{font-size:.4166666667em}.katex .fontsize-ensurer.reset-size7.size2,.katex .sizing.reset-size7.size2{font-size:.5em}.katex .fontsize-ensurer.reset-size7.size3,.katex .sizing.reset-size7.size3{font-size:.5833333333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .sizing.reset-size7.size4{font-size:.6666666667em}.katex .fontsize-ensurer.reset-size7.size5,.katex .sizing.reset-size7.size5{font-size:.75em}.katex .fontsize-ensurer.reset-size7.size6,.katex .sizing.reset-size7.size6{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size7.size7,.katex .sizing.reset-size7.size7{font-size:1em}.katex .fontsize-ensurer.reset-size7.size8,.katex .sizing.reset-size7.size8{font-size:1.2em}.katex .fontsize-ensurer.reset-size7.size9,.katex .sizing.reset-size7.size9{font-size:1.44em}.katex .fontsize-ensurer.reset-size7.size10,.katex .sizing.reset-size7.size10{font-size:1.7283333333em}.katex .fontsize-ensurer.reset-size7.size11,.katex .sizing.reset-size7.size11{font-size:2.0733333333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .sizing.reset-size8.size1{font-size:.3472222222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .sizing.reset-size8.size2{font-size:.4166666667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .sizing.reset-size8.size3{font-size:.4861111111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .sizing.reset-size8.size4{font-size:.5555555556em}.katex .fontsize-ensurer.reset-size8.size5,.katex .sizing.reset-size8.size5{font-size:.625em}.katex .fontsize-ensurer.reset-size8.size6,.katex .sizing.reset-size8.size6{font-size:.6944444444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .sizing.reset-size8.size7{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size8.size8,.katex .sizing.reset-size8.size8{font-size:1em}.katex .fontsize-ensurer.reset-size8.size9,.katex .sizing.reset-size8.size9{font-size:1.2em}.katex .fontsize-ensurer.reset-size8.size10,.katex .sizing.reset-size8.size10{font-size:1.4402777778em}.katex .fontsize-ensurer.reset-size8.size11,.katex .sizing.reset-size8.size11{font-size:1.7277777778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .sizing.reset-size9.size1{font-size:.2893518519em}.katex .fontsize-ensurer.reset-size9.size2,.katex .sizing.reset-size9.size2{font-size:.3472222222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .sizing.reset-size9.size3{font-size:.4050925926em}.katex .fontsize-ensurer.reset-size9.size4,.katex .sizing.reset-size9.size4{font-size:.462962963em}.katex .fontsize-ensurer.reset-size9.size5,.katex .sizing.reset-size9.size5{font-size:.5208333333em}.katex .fontsize-ensurer.reset-size9.size6,.katex .sizing.reset-size9.size6{font-size:.5787037037em}.katex .fontsize-ensurer.reset-size9.size7,.katex .sizing.reset-size9.size7{font-size:.6944444444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .sizing.reset-size9.size8{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size9.size9,.katex .sizing.reset-size9.size9{font-size:1em}.katex .fontsize-ensurer.reset-size9.size10,.katex .sizing.reset-size9.size10{font-size:1.2002314815em}.katex .fontsize-ensurer.reset-size9.size11,.katex .sizing.reset-size9.size11{font-size:1.4398148148em}.katex .fontsize-ensurer.reset-size10.size1,.katex .sizing.reset-size10.size1{font-size:.2410800386em}.katex .fontsize-ensurer.reset-size10.size2,.katex .sizing.reset-size10.size2{font-size:.2892960463em}.katex .fontsize-ensurer.reset-size10.size3,.katex .sizing.reset-size10.size3{font-size:.337512054em}.katex .fontsize-ensurer.reset-size10.size4,.katex .sizing.reset-size10.size4{font-size:.3857280617em}.katex .fontsize-ensurer.reset-size10.size5,.katex .sizing.reset-size10.size5{font-size:.4339440694em}.katex .fontsize-ensurer.reset-size10.size6,.katex .sizing.reset-size10.size6{font-size:.4821600771em}.katex .fontsize-ensurer.reset-size10.size7,.katex .sizing.reset-size10.size7{font-size:.5785920926em}.katex .fontsize-ensurer.reset-size10.size8,.katex .sizing.reset-size10.size8{font-size:.6943105111em}.katex .fontsize-ensurer.reset-size10.size9,.katex .sizing.reset-size10.size9{font-size:.8331726133em}.katex .fontsize-ensurer.reset-size10.size10,.katex .sizing.reset-size10.size10{font-size:1em}.katex .fontsize-ensurer.reset-size10.size11,.katex .sizing.reset-size10.size11{font-size:1.1996142719em}.katex .fontsize-ensurer.reset-size11.size1,.katex .sizing.reset-size11.size1{font-size:.2009646302em}.katex .fontsize-ensurer.reset-size11.size2,.katex .sizing.reset-size11.size2{font-size:.2411575563em}.katex .fontsize-ensurer.reset-size11.size3,.katex .sizing.reset-size11.size3{font-size:.2813504823em}.katex .fontsize-ensurer.reset-size11.size4,.katex .sizing.reset-size11.size4{font-size:.3215434084em}.katex .fontsize-ensurer.reset-size11.size5,.katex .sizing.reset-size11.size5{font-size:.3617363344em}.katex .fontsize-ensurer.reset-size11.size6,.katex .sizing.reset-size11.size6{font-size:.4019292605em}.katex .fontsize-ensurer.reset-size11.size7,.katex .sizing.reset-size11.size7{font-size:.4823151125em}.katex .fontsize-ensurer.reset-size11.size8,.katex .sizing.reset-size11.size8{font-size:.578778135em}.katex .fontsize-ensurer.reset-size11.size9,.katex .sizing.reset-size11.size9{font-size:.6945337621em}.katex .fontsize-ensurer.reset-size11.size10,.katex .sizing.reset-size11.size10{font-size:.8336012862em}.katex .fontsize-ensurer.reset-size11.size11,.katex .sizing.reset-size11.size11{font-size:1em}.katex .delimsizing.size1{font-family:KaTeX_Size1}.katex .delimsizing.size2{font-family:KaTeX_Size2}.katex .delimsizing.size3{font-family:KaTeX_Size3}.katex .delimsizing.size4{font-family:KaTeX_Size4}.katex .delimsizing.mult .delim-size1>span{font-family:KaTeX_Size1}.katex .delimsizing.mult .delim-size4>span{font-family:KaTeX_Size4}.katex .nulldelimiter{display:inline-block;width:.12em}.katex .delimcenter,.katex .op-symbol{position:relative}.katex .op-symbol.small-op{font-family:KaTeX_Size1}.katex .op-symbol.large-op{font-family:KaTeX_Size2}.katex .accent>.vlist-t,.katex .op-limits>.vlist-t{text-align:center}.katex .accent .accent-body{position:relative}.katex .accent .accent-body:not(.accent-full){width:0}.katex .overlay{display:block}.katex .mtable .vertical-separator{display:inline-block;min-width:1px}.katex .mtable .arraycolsep{display:inline-block}.katex .mtable .col-align-c>.vlist-t{text-align:center}.katex .mtable .col-align-l>.vlist-t{text-align:left}.katex .mtable .col-align-r>.vlist-t{text-align:right}.katex .svg-align{text-align:left}.katex svg{fill:currentColor;stroke:currentColor;fill-rule:nonzero;fill-opacity:1;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1;display:block;height:inherit;position:absolute;width:100%}.katex svg path{stroke:none}.katex img{border-style:none;max-height:none;max-width:none;min-height:0;min-width:0}.katex .stretchy{display:block;overflow:hidden;position:relative;width:100%}.katex .stretchy:after,.katex .stretchy:before{content:""}.katex .hide-tail{overflow:hidden;position:relative;width:100%}.katex .halfarrow-left{left:0;overflow:hidden;position:absolute;width:50.2%}.katex .halfarrow-right{overflow:hidden;position:absolute;right:0;width:50.2%}.katex .brace-left{left:0;overflow:hidden;position:absolute;width:25.1%}.katex .brace-center{left:25%;overflow:hidden;position:absolute;width:50%}.katex .brace-right{overflow:hidden;position:absolute;right:0;width:25.1%}.katex .x-arrow-pad{padding:0 .5em}.katex .cd-arrow-pad{padding:0 .55556em 0 .27778em}.katex .mover,.katex .munder,.katex .x-arrow{text-align:center}.katex .boxpad{padding:0 .3em}.katex .fbox,.katex .fcolorbox{border:.04em solid;box-sizing:border-box}.katex .cancel-pad{padding:0 .2em}.katex .cancel-lap{margin-left:-.2em;margin-right:-.2em}.katex .sout{border-bottom-style:solid;border-bottom-width:.08em}.katex .angl{border-right:.049em solid;border-top:.049em solid;box-sizing:border-box;margin-right:.03889em}.katex .anglpad{padding:0 .03889em}.katex .eqn-num:before{content:"(" counter(katexEqnNo) ")";counter-increment:katexEqnNo}.katex .mml-eqn-num:before{content:"(" counter(mmlEqnNo) ")";counter-increment:mmlEqnNo}.katex .mtr-glue{width:50%}.katex .cd-vert-arrow{display:inline-block;position:relative}.katex .cd-label-left{display:inline-block;position:absolute;right:calc(50% + .3em);text-align:left}.katex .cd-label-right{display:inline-block;left:calc(50% + .3em);position:absolute;text-align:right}.katex-display{display:block;margin:1em 0;text-align:center}.katex-display>.katex{display:block;text-align:center;white-space:nowrap}.katex-display>.katex>.katex-html{display:block;position:relative}.katex-display>.katex>.katex-html>.tag{position:absolute;right:0}.katex-display.leqno>.katex>.katex-html>.tag{left:0;right:auto}.katex-display.fleqn>.katex{padding-left:2em;text-align:left}body{counter-reset:katexEqnNo mmlEqnNo}.study-header{background:var(--header-bg);border-bottom:1px solid var(--border-color);justify-content:space-between;padding:1rem;position:sticky;top:0;z-index:10}.exit-btn,.study-header{align-items:center;display:flex}.exit-btn{background:#0000;border:1px solid var(--danger);border-radius:.25rem;color:var(--danger);cursor:pointer;gap:.5rem;padding:.5rem 1rem;transition:all .2s}.exit-btn:hover{background:var(--danger);color:#fff}.progress-info{flex:1 1;margin:0 2rem;max-width:400px}.card-counter,.round-counter{color:var(--text-secondary);display:block;font-weight:500;margin-bottom:.5rem;text-align:center}.progress-bar{background:var(--progress-bg);border-radius:4px;height:8px;overflow:hidden}.progress-fill{background:var(--primary);height:100%;transition:width .3s ease}.timer{align-items:center;color:var(--text-primary);display:flex;font-size:1.1rem;font-weight:500;gap:.5rem}.timer i{color:var(--text-secondary)}.stats-summary{background:var(--stats-bg);border-top:1px solid var(--border-color);display:flex;gap:2rem;justify-content:center;padding:1rem}.stat{align-items:center;color:var(--text-secondary);display:flex;font-size:.9rem;gap:.5rem}.stat i{font-size:1.1rem}.keyboard-hints{background:var(--hint-bg);color:var(--text-secondary);display:flex;font-size:.85rem;gap:1.5rem;justify-content:center;padding:.75rem}.keyboard-hints kbd{background:var(--kbd-bg);border:1px solid var(--border-color);border-radius:.25rem;font-family:monospace;font-size:.85rem;padding:.2rem .4rem}.write-mode{background:var(--bg-primary);display:flex;flex-direction:column;min-height:100vh}.write-container{flex:1 1;margin:0 auto;max-width:800px;padding:2rem;width:100%}.question-section{margin-bottom:2rem}.question-section h2{color:var(--text-primary);font-size:1.5rem;margin-bottom:1rem}.question-text{background:var(--card-bg);border:1px solid var(--border-color);border-radius:.5rem;color:var(--text-primary);font-size:1.1rem;line-height:1.6;padding:1.5rem}.answer-section{margin-bottom:2rem}.answer-input{background:var(--input-bg);border:2px solid var(--border-color);border-radius:.5rem;color:var(--text-primary);font-size:1rem;line-height:1.5;min-height:120px;padding:1rem;resize:vertical;transition:border-color .2s;width:100%}.answer-input:focus{border-color:var(--primary);outline:none}.answer-input:disabled{cursor:not-allowed;opacity:.7}.action-buttons{display:flex;gap:1rem;margin-top:1rem}.check-btn,.skip-btn{align-items:center;border:none;border-radius:.5rem;cursor:pointer;display:flex;font-size:1rem;font-weight:500;gap:.5rem;padding:.75rem 1.5rem;transition:all .2s}.check-btn.primary{background:var(--primary);color:#fff}.check-btn.primary:hover:not(:disabled){background:var(--primary-hover);transform:translateY(-1px)}.check-btn:disabled{cursor:not-allowed;opacity:.5}.skip-btn.secondary{background:#0000;border:1px solid var(--border-color);color:var(--text-secondary)}.skip-btn.secondary:hover{background:var(--hover-bg);border-color:var(--text-secondary)}.feedback-section{background:var(--card-bg);border:1px solid var(--border-color);border-radius:.5rem;margin-top:2rem;padding:1.5rem}.feedback-header{align-items:center;display:flex;font-size:1.2rem;font-weight:600;gap:.75rem;margin-bottom:1.5rem}.feedback-header.correct{color:var(--success)}.feedback-header.incorrect{color:var(--danger)}.feedback-header i{font-size:1.5rem}.similarity-badge{border-radius:1rem;color:#fff;font-size:.9rem;font-weight:500;margin-left:auto;padding:.25rem .75rem}.answer-comparison{grid-gap:1rem;display:grid;gap:1rem;margin-bottom:1.5rem}.correct-answer,.user-answer{background:var(--comparison-bg);border-left:3px solid #0000;border-radius:.25rem;padding:1rem}.user-answer{border-left-color:var(--text-secondary)}.correct-answer{border-left-color:var(--success)}.correct-answer h4,.user-answer h4{color:var(--text-secondary);font-size:.85rem;letter-spacing:.05em;margin:0 0 .5rem;text-transform:uppercase}.answer-text{color:var(--text-primary);line-height:1.5}.continue-btn{align-items:center;background:var(--primary);border:none;border-radius:.5rem;color:#fff;cursor:pointer;display:flex;font-size:1rem;font-weight:500;gap:.5rem;margin-left:auto;padding:.75rem 1.5rem;transition:all .2s}.continue-btn:hover{background:var(--primary-hover);transform:translateX(2px)}.navigation-controls{background:var(--nav-bg);border-top:1px solid var(--border-color);justify-content:space-between;padding:1rem 2rem}.nav-btn,.navigation-controls{align-items:center;display:flex}.nav-btn{background:#0000;border:1px solid var(--border-color);border-radius:.25rem;color:var(--text-primary);cursor:pointer;gap:.5rem;padding:.5rem 1rem;transition:all .2s}.nav-btn:hover:not(:disabled){background:var(--hover-bg);border-color:var(--primary)}.nav-btn:disabled{cursor:not-allowed;opacity:.5}.card-info{align-items:center;display:flex;gap:.75rem}.difficulty{border-radius:1rem;font-size:.85rem;font-weight:500;padding:.25rem .75rem;text-transform:capitalize}.difficulty.easy{background:var(--success-light);color:var(--success)}.difficulty.medium{background:var(--warning-light);color:var(--warning)}.difficulty.hard{background:var(--danger-light);color:var(--danger)}.tag{background:var(--tag-bg);border-radius:1rem;color:var(--text-secondary);font-size:.85rem;padding:.25rem .75rem}.nav-spacer{width:100px}.match-mode{background:var(--bg-primary);display:flex;flex-direction:column;min-height:100vh}.match-container{flex:1 1;margin:0 auto;max-width:1200px;padding:2rem;width:100%}.instructions{align-items:center;background:var(--info-bg);border-radius:.5rem;color:var(--info);display:flex;font-size:.95rem;gap:.75rem;justify-content:center;margin-bottom:2rem;padding:1rem}.match-grid{grid-gap:1rem;display:grid;gap:1rem;grid-template-columns:repeat(auto-fit,minmax(250px,1fr));margin-bottom:2rem}.match-item{align-items:center;background:var(--card-bg);border:2px solid var(--border-color);border-radius:.5rem;cursor:pointer;display:flex;justify-content:center;min-height:120px;padding:1.5rem;position:relative;transition:all .2s}.match-item.front{background:var(--front-bg)}.match-item.back{background:var(--back-bg)}.match-item:hover:not(.matched){box-shadow:0 4px 12px #0000001a;transform:translateY(-2px)}.match-item.selected{background:var(--selected-bg);border-color:var(--primary)}.match-item.incorrect{animation:shake .5s;background:var(--incorrect-bg);border-color:var(--danger)}.match-item.matched{background:var(--matched-bg);border-color:var(--success);cursor:default;opacity:.8}.match-item.dragging{cursor:grabbing;opacity:.5}.match-item.drag-over{background:var(--dragover-bg);border-color:var(--primary);border-style:dashed}@keyframes shake{0%,to{transform:translateX(0)}25%{transform:translateX(-5px)}75%{transform:translateX(5px)}}.item-content{color:var(--text-primary);font-size:1rem;line-height:1.5;max-width:100%;overflow:hidden;text-align:center}.match-indicator{align-items:center;background:var(--success);border-radius:50%;color:#fff;display:flex;font-size:.75rem;height:24px;justify-content:center;position:absolute;right:.5rem;top:.5rem;width:24px}.match-progress{color:var(--text-secondary);font-size:.95rem;text-align:center}.completion-screen{align-items:center;display:flex;flex:1 1;justify-content:center;padding:2rem}.completion-content{max-width:500px;text-align:center}.completion-content i{color:var(--success);font-size:4rem;margin-bottom:1.5rem}.completion-content h2{color:var(--text-primary);font-size:2rem;margin-bottom:1rem}.completion-content p{color:var(--text-secondary);font-size:1.1rem;margin-bottom:2rem}.final-stats{background:var(--stats-bg);border-radius:.5rem;display:flex;gap:2rem;justify-content:center;margin-bottom:2rem;padding:1.5rem}.stat-item{align-items:center;display:flex;flex-direction:column;gap:.5rem}.stat-item i{color:var(--primary);font-size:1.5rem}.stat-item span{color:var(--text-primary);font-weight:500}.finish-btn{align-items:center;background:var(--primary);border:none;border-radius:.5rem;color:#fff;cursor:pointer;display:inline-flex;font-size:1.1rem;font-weight:500;gap:.5rem;padding:1rem 2rem;transition:all .2s}.finish-btn:hover{background:var(--primary-hover);box-shadow:0 4px 12px #00000026;transform:translateY(-2px)}.dark-mode{--bg-primary:#1a1a1a;--header-bg:#252525;--card-bg:#2a2a2a;--input-bg:#2a2a2a;--border-color:#3a3a3a;--text-primary:#e0e0e0;--text-secondary:#a0a0a0;--primary:#4a9eff;--primary-hover:#3a8eef;--success:#4caf50;--success-light:#4caf5020;--danger:#f44336;--danger-light:#f4433620;--warning:#ff9800;--warning-light:#ff980020;--info:#2196f3;--info-bg:#2196f320;--progress-bg:#3a3a3a;--stats-bg:#252525;--hint-bg:#1f1f1f;--kbd-bg:#333;--hover-bg:#333;--nav-bg:#252525;--comparison-bg:#252525;--tag-bg:#3a3a3a;--front-bg:#2a2f3a;--back-bg:#2f2a3a;--selected-bg:#3a4a5a;--incorrect-bg:#4a2a2a;--matched-bg:#2a4a2a;--dragover-bg:#3a3a4a}.match-mode:not(.dark-mode),.write-mode:not(.dark-mode){--bg-primary:#f5f5f5;--header-bg:#fff;--card-bg:#fff;--input-bg:#fff;--border-color:#e0e0e0;--text-primary:#333;--text-secondary:#666;--primary:#2196f3;--primary-hover:#1976d2;--success:#4caf50;--success-light:#4caf5020;--danger:#f44336;--danger-light:#f4433620;--warning:#ff9800;--warning-light:#ff980020;--info:#2196f3;--info-bg:#e3f2fd;--progress-bg:#e0e0e0;--stats-bg:#f5f5f5;--hint-bg:#fafafa;--kbd-bg:#f0f0f0;--hover-bg:#f5f5f5;--nav-bg:#fafafa;--comparison-bg:#f5f5f5;--tag-bg:#e0e0e0;--front-bg:#e3f2fd;--back-bg:#fce4ec;--selected-bg:#bbdefb;--incorrect-bg:#ffcdd2;--matched-bg:#c8e6c9;--dragover-bg:#e1f5fe}@media (max-width:768px){.match-container,.write-container{padding:1rem}.study-header{flex-wrap:wrap;gap:1rem}.progress-info{margin:0;order:3;width:100%}.stats-summary{font-size:.85rem;gap:1rem}.keyboard-hints{display:none}.match-grid{gap:.75rem;grid-template-columns:repeat(auto-fit,minmax(150px,1fr))}.match-item{font-size:.9rem;min-height:100px}.match-item,.navigation-controls{padding:1rem}.nav-spacer{display:none}.final-stats{flex-direction:column;gap:1rem}}