@font-face {
  font-display: block;
  font-family: KaTeX_AMS;
  font-style: normal;
  font-weight: 400;
  src: url(/static/font/KaTeX_AMS-Regular.a79f1c3119.woff2) format("woff2"), url(/static/font/KaTeX_AMS-Regular.1608a09b4a.woff) format("woff"), url(/static/font/KaTeX_AMS-Regular.4aafdb685c.ttf) format("truetype");
}

@font-face {
  font-display: block;
  font-family: KaTeX_Caligraphic;
  font-style: normal;
  font-weight: 700;
  src: url(/static/font/KaTeX_Caligraphic-Bold.ec17d13264.woff2) format("woff2"), url(/static/font/KaTeX_Caligraphic-Bold.b67709187b.woff) format("woff"), url(/static/font/KaTeX_Caligraphic-Bold.cce5b8ecea.ttf) format("truetype");
}

@font-face {
  font-display: block;
  font-family: KaTeX_Caligraphic;
  font-style: normal;
  font-weight: 400;
  src: url(/static/font/KaTeX_Caligraphic-Regular.55fac25845.woff2) format("woff2"), url(/static/font/KaTeX_Caligraphic-Regular.dad44a7fc6.woff) format("woff"), url(/static/font/KaTeX_Caligraphic-Regular.07ef19e7b0.ttf) format("truetype");
}

@font-face {
  font-display: block;
  font-family: KaTeX_Fraktur;
  font-style: normal;
  font-weight: 700;
  src: url(/static/font/KaTeX_Fraktur-Bold.d42a5579b0.woff2) format("woff2"), url(/static/font/KaTeX_Fraktur-Bold.9f256b8593.woff) format("woff"), url(/static/font/KaTeX_Fraktur-Bold.b18f59e1d1.ttf) format("truetype");
}

@font-face {
  font-display: block;
  font-family: KaTeX_Fraktur;
  font-style: normal;
  font-weight: 400;
  src: url(/static/font/KaTeX_Fraktur-Regular.d3c882a649.woff2) format("woff2"), url(/static/font/KaTeX_Fraktur-Regular.7c1871215e.woff) format("woff"), url(/static/font/KaTeX_Fraktur-Regular.ed38e79f57.ttf) format("truetype");
}

@font-face {
  font-display: block;
  font-family: KaTeX_Main;
  font-style: normal;
  font-weight: 700;
  src: url(/static/font/KaTeX_Main-Bold.c3fb5ac22f.woff2) format("woff2"), url(/static/font/KaTeX_Main-Bold.d181c4650d.woff) format("woff"), url(/static/font/KaTeX_Main-Bold.b74a1a8b2c.ttf) format("truetype");
}

@font-face {
  font-display: block;
  font-family: KaTeX_Main;
  font-style: italic;
  font-weight: 700;
  src: url(/static/font/KaTeX_Main-BoldItalic.6f2bb1dff2.woff2) format("woff2"), url(/static/font/KaTeX_Main-BoldItalic.e3f82f9d27.woff) format("woff"), url(/static/font/KaTeX_Main-BoldItalic.70d8b0a530.ttf) format("truetype");
}

@font-face {
  font-display: block;
  font-family: KaTeX_Main;
  font-style: italic;
  font-weight: 400;
  src: url(/static/font/KaTeX_Main-Italic.8916142bec.woff2) format("woff2"), url(/static/font/KaTeX_Main-Italic.9024d815ba.woff) format("woff"), url(/static/font/KaTeX_Main-Italic.47373d1e51.ttf) format("truetype");
}

@font-face {
  font-display: block;
  font-family: KaTeX_Main;
  font-style: normal;
  font-weight: 400;
  src: url(/static/font/KaTeX_Main-Regular.0462f03bdf.woff2) format("woff2"), url(/static/font/KaTeX_Main-Regular.7f51fe0340.woff) format("woff"), url(/static/font/KaTeX_Main-Regular.b7f8fe9b5f.ttf) format("truetype");
}

@font-face {
  font-display: block;
  font-family: KaTeX_Math;
  font-style: italic;
  font-weight: 700;
  src: url(/static/font/KaTeX_Math-BoldItalic.572d331f69.woff2) format("woff2"), url(/static/font/KaTeX_Math-BoldItalic.f1035d8d5d.woff) format("woff"), url(/static/font/KaTeX_Math-BoldItalic.a879cf8383.ttf) format("truetype");
}

@font-face {
  font-display: block;
  font-family: KaTeX_Math;
  font-style: italic;
  font-weight: 400;
  src: url(/static/font/KaTeX_Math-Italic.f28c23acad.woff2) format("woff2"), url(/static/font/KaTeX_Math-Italic.5295ba483a.woff) format("woff"), url(/static/font/KaTeX_Math-Italic.939bc64440.ttf) format("truetype");
}

@font-face {
  font-display: block;
  font-family: KaTeX_SansSerif;
  font-style: normal;
  font-weight: 700;
  src: url(/static/font/KaTeX_SansSerif-Bold.8c5b5494b6.woff2) format("woff2"), url(/static/font/KaTeX_SansSerif-Bold.bf59d231c3.woff) format("woff"), url(/static/font/KaTeX_SansSerif-Bold.94e1e8dc5f.ttf) format("truetype");
}

@font-face {
  font-display: block;
  font-family: KaTeX_SansSerif;
  font-style: italic;
  font-weight: 400;
  src: url(/static/font/KaTeX_SansSerif-Italic.3b1e59b3ba.woff2) format("woff2"), url(/static/font/KaTeX_SansSerif-Italic.7c9bc82b17.woff) format("woff"), url(/static/font/KaTeX_SansSerif-Italic.b4c20c84d8.ttf) format("truetype");
}

@font-face {
  font-display: block;
  font-family: KaTeX_SansSerif;
  font-style: normal;
  font-weight: 400;
  src: url(/static/font/KaTeX_SansSerif-Regular.ba21ed5f84.woff2) format("woff2"), url(/static/font/KaTeX_SansSerif-Regular.740484788f.woff) format("woff"), url(/static/font/KaTeX_SansSerif-Regular.d4d7ba4804.ttf) format("truetype");
}

@font-face {
  font-display: block;
  font-family: KaTeX_Script;
  font-style: normal;
  font-weight: 400;
  src: url(/static/font/KaTeX_Script-Regular.03e9641d6f.woff2) format("woff2"), url(/static/font/KaTeX_Script-Regular.0750571032.woff) format("woff"), url(/static/font/KaTeX_Script-Regular.fe9cbbe1a0.ttf) format("truetype");
}

@font-face {
  font-display: block;
  font-family: KaTeX_Size1;
  font-style: normal;
  font-weight: 400;
  src: url(/static/font/KaTeX_Size1-Regular.eae34984b3.woff2) format("woff2"), url(/static/font/KaTeX_Size1-Regular.e1e279cbdd.woff) format("woff"), url(/static/font/KaTeX_Size1-Regular.fabc004aab.ttf) format("truetype");
}

@font-face {
  font-display: block;
  font-family: KaTeX_Size2;
  font-style: normal;
  font-weight: 400;
  src: url(/static/font/KaTeX_Size2-Regular.5916a24fa3.woff2) format("woff2"), url(/static/font/KaTeX_Size2-Regular.577270225e.woff) format("woff"), url(/static/font/KaTeX_Size2-Regular.d6b476ecd3.ttf) format("truetype");
}

@font-face {
  font-display: block;
  font-family: KaTeX_Size3;
  font-style: normal;
  font-weight: 400;
  src: url(data:font/woff2;base64,d09GMgABAAAAAA4oAA4AAAAAHbQAAA3TAAEAAAAAAAAAAAAAAAAAAAAAAAAAAAAABmAAgRQIDgmcDBEICo1oijYBNgIkA14LMgAEIAWJAAeBHAyBHBvbGiMRdnO0IkRRkiYDgr9KsJ1NUAf2kILNxgUmgqIgq1P89vcbIcmsQbRps3vCcXdYOKSWEPEKgZgQkprQQsxIXUgq0DqpGKmIvrgkeVGtEQD9DzAO29fM9jYhxZEsL2FeURH2JN4MIcTdO049NCVdxQ/w9NrSYFEBKTDKpLKfNkCGDc1RwjZLQcm3vqJ2UW9Xfa3tgAHz6ivp6vgC2yD4/6352ndnN0X0TL7seypkjZlMsjmZnf0Mm5Q+JykRWQBKCVCVPbARPXWyQtb5VgLB6Biq7/Uixcj2WGqdI8tGSgkuRG+t910GKP2D7AQH0DB9FMDW/obJZ8giFI3Wg8Cvevz0M+5m0rTh7XDBlvo9Y4vm13EXmfttwI4mBo1EG15fxJhUiCLbiiyCf/ZA6MFAhg3pGIZGdGIVjtPn6UcMk9A/UUr9PhoNsCENw1APAq0gpH73e+M+0ueyHbabc3vkbcdtzcf/fiy+NxQEjf9ud/ELBHAXJ0nk4z+MXH2Ev/kWyV4k7SkvpPc9Qr38F6RPWnM9cN6DJ0AdD1BhtgABtmoRoFCvPsBAumNm6soZG2Gk5GyVTo2sJncSyp0jQTYoR6WDvTwaaEcHsxHfvuWhHA3a6bN7twRKtcGok6NsCi7jYRrM2jExsUFMxMQYuJbMhuWNOumEJy9hi29Dmg5zMp/A5+hhPG19j1vBrq8JTLr8ki5VLPmG/PynJHVul440bxg5xuymHUFPBshC+nA9I1FmwbRBTNHAcik3Oae0cxKoI3MOriM42UrPe51nsaGxJ+WfXubAsP84aabUlQSJ1IiE0iPETLUU4CATgfXSCSpuRFRmCGbO+wSpAnzaeaCYW1VNEysRtuXCEL1kUFUbbtMv3Tilt/1c11jt3Q5bbMa84cpWipp8Elw3MZhOHsOlwwVUQM3lAR35JiFQbaYCRnMF2lxAWoOg2gyoIV4PouX8HytNIfLhqpJtXB4vjiViUI8IJ7bkC4ikkQvKksnOTKICwnqWSZ9YS5f0WCxmpgjbIq7EJcM4aI2nmhLNY2JIUgOjXZFWBHb+x5oh6cwb0Tv1ackHdKi0I9OO2wE9aogIOn540CCCziyhN+IaejtgAONKznHlHyutPrHGwCx9S6B8kfS4Mfi4Eyv7OU730bT1SCBjt834cXsf43zVjPUqqJjgrjeGnBxSG4aYAKFuVbeCfkDIjAqMb6yLNIbCuvXhMH2/+k2vkNpkORhR59N1CkzoOENvneIosjYmuTxlhUzaGEJQ/iWqx4dmwpmKjrwTiTGTCVozNAYqk/zXOndWxuWSmJkQpJw3pK5KX6QrLt5LATMqpmPAQhkhK6PUjzHUn7E0gHE0kPE0iKkolgkUx9SZmVAdDgpffdyJKg3k7VmzYGCwVXGz/tXmkOIp+vcWs+EMuhhvN0h9uhfzWJziBQmCREGSIFmQIkgVpAnSBRmC//6hkLZwaVhwxlrJSOdqlFtOYxlau9F2QN5Y98xmIAsiM1HVp2VFX+DHHGg6Ecjh3vmqtidX3qHI2qycTk/iwxSt5UzTmEP92ZBnEWTk4Mx8Mpl78ZDokxg/KWb+Q0QkvdKVmq3TMW+RXEgrsziSAfNXFMhDc60N5N9jQzjfO0kBKpUZl0ZmwJ41j/B9Hz6wmRaJB84niNmQrzp9eSlQCDDzazGDdVi3P36VZQ+Jy4f9UBNp+3zTjqI4abaFAm+GShVaXlsGdF3FYzZcDI6cori4kMxUECl9IjJZpzkvitAoxKue+90pDMvcKRxLl53TmOKCmV/xRolNKSqqUxc6LStOETmFOiLZZptlZepcKiAzteG8PEdpnQpbOMNcMsR4RR2Bs0cKFEvSmIjAFcnarqwUL4lDhHmnVkwu1IwshbiCcgvOheZuYyOteufZZwlcTlLgnZ3o/WcYdzZHW/WGaqaVfmTZ1aWCceJjkbZqsfbkOtcFlUZM/jy+hXHDbaUobWqqXaeWobbLO99yG5N3U4wxco0rQGGcOLASFMXeJoham8M+/x6O2WywK2l4HGbq1CoUyC/IZikQhdq3SiuNrvAEj0AVu9x2x3lp/xWzahaxidezFVtdcb5uEnzyl0ZmYiuKI0exvCd4Xc9CV1KB0db00z92wDPde0kukbvZIWN6jUWFTmPIC/Y4UPCm8UfDTFZpZNon1qLFTkBhxzB+FjQRA2Q/YRJT8pQigslMaUpFyAG8TMlXigiqmAZX4xgijKjRlGpLE0GdplRfCaJo0JQaSxNBk6ZmMzcya0FmrcisDdn0Q3HI2sWSppYigmlM1XT/kLQZSNpMJG0WkjYbSZuDpM1F0uYhFc1HxU4m1QJjDK6iL0S5uSj5rgXc3RejEigtcRBtqYPQsiTskmO5vosV+q4VGIKbOkDg0jtRrq+Em1YloaTFar3EGr1EUC8R0kus1Uus00usL97ABr2BjXoDm/QGNhuWtMVBKOwg/i78lT7hBsAvDmwHc/ao3vmUbBmhjeYySZNWvGkfZAgISDSaDo1SVpzGDsAEkF8B+gEapViUoZgUWXcRIGFZNm6gWbAKk0bp0k1MHG9fLYtV4iS2SmLEQFARzRcnf9PUS0LVn05/J9MiRRBU3v2IrvW974v4N00L7ZMk0wXP1409CHo/an8zTRHD3eSJ6m8D4YMkZNl3M79sqeuAsr/m3f+8/yl7A50aiAEJgeBeMWzu7ui9UfUBCe2TIqZIoOd/3/udRBOQidQZUERzb2/VwZN1H/Sju82ew2H2Wfr6qvfVf3hqwDvAIpkQVFy4B9Pe9e4/XvPeceu7h3dvO56iJPf0+A6cqA2ip18ER+iFgggiuOkvj24bby0N9j2UHIkgqIt+sVgfodC4YghLSMjSZbH0VR/6dMDrYJeKHilKTemt6v6kvzvn3/RrdWtr0GoN/xL+Sex/cPYLUpepx9cz/D46UPU5KXgAQa+NDps1v6J3xP1i2HtaDB0M9aX2deA7SYff//+gUCovMmIK/qfsFcOk+4Y5ZN97XlG6zebqtMbKgeRFi51vnxTQYBUik2rS/Cn6PC8ADR8FGxsRPB82dzfND90gIcshOcYUkfjherBz53odpm6TP8txlwOZ71xmfHHOvq053qFF/MRlS3jP0ELudrf2OeN8DHvp6ZceLe8qKYvWz/7yp0u4dKPfli3CYq0O13Ih71mylJ80tOi10On8wi+F4+LWgDPeJ30msSQt9/vkmHq9/Lvo2b461mP801v3W4xTcs6CbvF9UDdrSt+A8OUbpSh55qAUFXWznBBfdeJ8a4d7ugT5tvxUza3h9m4H7ptTqiG4z0g5dc0X29OcGlhpGFMpQo9ytTS+NViZpNdvU4kWx+LKxNY10kQ1yqGXrhe4/1nvP7E+nd5A92TtaRplbHSqoIdOqtRWti+fkB5/n1+/VvCmz12pG1kpQWsfi1ftlBobm0bpngs16CHkbIwdLnParxtTV3QYRlfJ0KFskH7pdN/YDn+yRuSd7sNH3aO0DYPggk6uWuXrfOc+fa3VTxFVvKaNxHsiHmsXyCLIE5yuOeN3/Jdf8HBL/5M6shjyhxHx9BjB1O0+4NLOnjLLSxwO7ukN4jMbOIcD879KLSi6Pk61Oqm2377n8079PXEEQ7cy7OKEC9nbpet118fxweTafpt69x/Bt8UqGzNQt7aelpc44dn5cqhwf71+qKp/Zf/+a0zcizOUWpl/iBcSXip0pplkatCchoH5c5aUM8I7/dWxAej8WicPL1URFZ9BDJelUwEwTkGqUhgSlydVes95YdXvhh9Gfz/aeFWvgVb4tuLbcv4+wLdutVZv/cUonwBD/6eDlE0aSiKK/uoH3+J1wDE/jMVqY2ysGufN84oIXB0sPzy8ollX/LegY74DgJXJR57sn+VGza0x3DnuIgABFM15LmajjjsNlYj+JEZGbuRYcAMOWxFkPN2w6Wd46xo4gVWQR/X4lyI/R6K/YK0110GzudPRW7Y+UOBGTfNNzHeYT0fiH0taunBpq9HEW8OKSaBGj21L0MqenEmNRWBAWDWAk4CpNoEZJ2tTaPFgbQYj8HxtFilErs3BTRwT8uO1NXQaWfIotchmPkAF5mMBAliEmZiOGVgCG9LgRzpscMAOOwowlT3JhusdazXGSC/hxR3UlmWVwWHpOIKheqONvjyhSiTHIkVUco5bnji8m//zL7PKaT1Vl5I6UE609f+gkr6MZKVyKc7zJRmCahLsdlyA5fdQkRSan9LgnnLEyGSkaKJCJog0wAgvepWBt80+1yKln1bMVtCljfNWDueKLsWwaEbBSfSPTEmVRsUcYYMnEjcjeyCZzBXK9E9BYBXLKjOSpUDR+nEV3TFSUdQaz+ot98QxgXwx0GQ+EEUAKB2qZPkQQ0GqFD8UPFMqyaCHM24BZmSGic9EYMagKizOw9Hz50DMrDLrqqLkTAhplMictiCAx5S3BIUQdeJeLnBy2CNtMfz6cV4u8XKoFZQesbf9YZiIERiHjaNodDW6LgcirX/mPnJIkBGDUpTBhSa0EIr38D5hCIszhCM8URGBqImoWjpvpt1ebu/v3Gl3qJfMnNM+9V+kiRFyROTPHQWOcs1dNW94/ukKMPZBvDi55i5CttdeJz84DLngLqjcdwEZ87bFFR8CIG35OAkDVN6VRDZ7aq67NteYqZ2lpT8oYB2CytoBd6VuAx4WgiAsnuj3WohG+LugzXiQRDeM3XYXlULv4dp5VFYC) format("woff2"), url(/static/font/KaTeX_Size3-Regular.9acaf01c64.woff) format("woff"), url(/static/font/KaTeX_Size3-Regular.a144ef5840.ttf) format("truetype");
}

@font-face {
  font-display: block;
  font-family: KaTeX_Size4;
  font-style: normal;
  font-weight: 400;
  src: url(/static/font/KaTeX_Size4-Regular.10d95fd3a2.woff2) format("woff2"), url(/static/font/KaTeX_Size4-Regular.7a996c9da2.woff) format("woff"), url(/static/font/KaTeX_Size4-Regular.fbccdabe0a.ttf) format("truetype");
}

@font-face {
  font-display: block;
  font-family: KaTeX_Typewriter;
  font-style: normal;
  font-weight: 400;
  src: url(/static/font/KaTeX_Typewriter-Regular.a8709e3622.woff2) format("woff2"), url(/static/font/KaTeX_Typewriter-Regular.6258592bdc.woff) format("woff"), url(/static/font/KaTeX_Typewriter-Regular.d97aaf4a1e.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: "0.17.0";
}

.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;
}