katexbundle.min.js

!function(e,t){"object"==typeof exports&&"object"==typeof module?module.exports=t():"function"==typeof define&&define.amd?define([],t):"object"==typeof exports?exports.katex=t():e.katex=t()}("undefined"!=typeof self?self:this,function(){"use strict";function B(e,t){this.position=void 0;var r,n,e="KaTeX parse error: "+e,i=((t=t&&t.loc)&&t.start<=t.end&&(r=t.lexer.input,n=t.start,t=t.end,n===r.length?e+=" at end of input: ":e+=" at position "+(n+1)+": ",i=r.slice(n,t).replace(/[^]/g,"$&̲"),e+=(15<n?"…"+r.slice(n-15,n):r.slice(0,n))+i+(t+15<r.length?r.slice(t,t+15)+"…":r.slice(t))),new Error(e));return i.name="ParseError",i.__proto__=B.prototype,i.position=n,i}function C(e){return"ordgroup"===e.type||"color"===e.type?1===e.body.length?C(e.body[0]):e:"font"===e.type?C(e.body):e}var N={d:function(e,t){for(var r in t)N.o(t,r)&&!N.o(e,r)&&Object.defineProperty(e,r,{enumerable:!0,get:t[r]})},o:function(e,t){return Object.prototype.hasOwnProperty.call(e,t)}},q={},$=(N.d(q,{default:function(){return tn}}),B.prototype.__proto__=Error.prototype,B),I=/([A-Z])/g,O={"&":"&amp;",">":"&gt;","<":"&lt;",'"':"&quot;","'":"&#x27;"},R=/[&><"']/g,Z={contains:function(e,t){return-1!==e.indexOf(t)},deflt:function(e,t){return void 0===e?t:e},escape:function(e){return String(e).replace(R,function(e){return O[e]})},hyphenate:function(e){return e.replace(I,"-$1").toLowerCase()},getBaseElem:C,isCharacterBox:function(e){e=C(e);return"mathord"===e.type||"textord"===e.type||"atom"===e.type},protocolFromUrl:function(e){e=/^\s*([^\\/#]*?)(?::|&#0*58|&#x0*3a)/i.exec(e);return null!=e?e[1]:"_relative"}},E={displayMode:{type:"boolean",description:"Render math in display mode, which puts the math in display style (so \\int and \\sum are large, for example), and centers the math on the page on its own line.",cli:"-d, --display-mode"},output:{type:{enum:["htmlAndMathml","html","mathml"]},description:"Determines the markup language of the output.",cli:"-F, --format <type>"},leqno:{type:"boolean",description:"Render display math in leqno style (left-justified tags)."},fleqn:{type:"boolean",description:"Render display math flush left."},throwOnError:{type:"boolean",default:!0,cli:"-t, --no-throw-on-error",cliDescription:"Render errors (in the color given by --error-color) instead of throwing a ParseError exception when encountering an error."},errorColor:{type:"string",default:"#cc0000",cli:"-c, --error-color <color>",cliDescription:"A color string given in the format 'rgb' or 'rrggbb' (no #). This option determines the color of errors rendered by the -t option.",cliProcessor:function(e){return"#"+e}},macros:{type:"object",cli:"-m, --macro <def>",cliDescription:"Define custom macro of the form '\\foo:expansion' (use multiple -m arguments for multiple macros).",cliDefault:[],cliProcessor:function(e,t){return t.push(e),t}},minRuleThickness:{type:"number",description:"Specifies a minimum thickness, in ems, for fraction lines, `\\sqrt` top lines, `{array}` vertical lines, `\\hline`, `\\hdashline`, `\\underline`, `\\overline`, and the borders of `\\fbox`, `\\boxed`, and `\\fcolorbox`.",processor:function(e){return Math.max(0,e)},cli:"--min-rule-thickness <size>",cliProcessor:parseFloat},colorIsTextColor:{type:"boolean",description:"Makes \\color behave like LaTeX's 2-argument \\textcolor, instead of LaTeX's one-argument \\color mode change.",cli:"-b, --color-is-text-color"},strict:{type:[{enum:["warn","ignore","error"]},"boolean","function"],description:"Turn on strict / LaTeX faithfulness mode, which throws an error if the input uses features that are not supported by LaTeX.",cli:"-S, --strict",cliDefault:!1},trust:{type:["boolean","function"],description:"Trust the input, enabling all HTML features such as \\url.",cli:"-T, --trust"},maxSize:{type:"number",default:1/0,description:"If non-zero, all user-specified sizes, e.g. in \\rule{500em}{500em}, will be capped to maxSize ems. Otherwise, elements and spaces can be arbitrarily large",processor:function(e){return Math.max(0,e)},cli:"-s, --max-size <n>",cliProcessor:parseInt},maxExpand:{type:"number",default:1e3,description:"Limit the number of macro expansions to the specified number, to prevent e.g. infinite macro loops. If set to Infinity, the macro expander will try to fully expand as in LaTeX.",processor:function(e){return Math.max(0,e)},cli:"-e, --max-expand <n>",cliProcessor:function(e){return"Infinity"===e?1/0:parseInt(e)}},globalGroup:{type:"boolean",cli:!1}};(t=W.prototype).reportNonstrict=function(e,t,r){var n=this.strict;if((n="function"==typeof n?n(e,t,r):n)&&"ignore"!==n){if(!0===n||"error"===n)throw new $("LaTeX-incompatible input and strict mode is set to 'error': "+t+" ["+e+"]",r);"warn"===n?"undefined"!=typeof console&&console.warn("LaTeX-incompatible input and strict mode is set to 'warn': "+t+" ["+e+"]"):"undefined"!=typeof console&&console.warn("LaTeX-incompatible input and strict mode is set to unrecognized '"+n+"': "+t+" ["+e+"]")}},t.useStrictBehavior=function(e,t,r){var n=this.strict;if("function"==typeof n)try{n=n(e,t,r)}catch(e){n="error"}return!(!n||"ignore"===n||!0!==n&&"error"!==n&&("warn"===n?"undefined"!=typeof console&&console.warn("LaTeX-incompatible input and strict mode is set to 'warn': "+t+" ["+e+"]"):"undefined"!=typeof console&&console.warn("LaTeX-incompatible input and strict mode is set to unrecognized '"+n+"': "+t+" ["+e+"]"),1))},t.isTrusted=function(e){e.url&&!e.protocol&&(e.protocol=Z.protocolFromUrl(e.url));e="function"==typeof this.trust?this.trust(e):this.trust;return Boolean(e)};var H=W,e=((t=X.prototype).sup=function(){return L[D[this.id]]},t.sub=function(){return L[P[this.id]]},t.fracNum=function(){return L[F[this.id]]},t.fracDen=function(){return L[V[this.id]]},t.cramp=function(){return L[G[this.id]]},t.text=function(){return L[U[this.id]]},X),L=[new e(0,0,!(t.isTight=function(){return 2<=this.size})),new e(1,0,!0),new e(2,1,!1),new e(3,1,!0),new e(4,2,!1),new e(5,2,!0),new e(6,3,!1),new e(7,3,!0)],D=[4,5,4,5,6,7,6,7],P=[5,5,5,5,7,7,7,7],F=[2,3,4,5,6,7,6,7],V=[3,3,5,5,7,7,7,7],G=[1,1,3,3,5,5,7,7],U=[0,1,2,3,2,3,2,3],K={DISPLAY:L[0],TEXT:L[2],SCRIPT:L[4],SCRIPTSCRIPT:L[6]},Y=[{name:"latin",blocks:[[256,591],[768,879]]},{name:"cyrillic",blocks:[[1024,1279]]},{name:"armenian",blocks:[[1328,1423]]},{name:"brahmic",blocks:[[2304,4255]]},{name:"georgian",blocks:[[4256,4351]]},{name:"cjk",blocks:[[12288,12543],[19968,40879],[65280,65376]]},{name:"hangul",blocks:[[44032,55215]]}];function X(e,t,r){this.id=void 0,this.size=void 0,this.cramped=void 0,this.id=e,this.size=t,this.cramped=r}function W(e){for(var t in this.displayMode=void 0,this.output=void 0,this.leqno=void 0,this.fleqn=void 0,this.throwOnError=void 0,this.errorColor=void 0,this.macros=void 0,this.minRuleThickness=void 0,this.colorIsTextColor=void 0,this.strict=void 0,this.trust=void 0,this.maxSize=void 0,this.maxExpand=void 0,this.globalGroup=void 0,e=e||{},E){var r;E.hasOwnProperty(t)&&(r=E[t],this[t]=void 0!==e[t]?r.processor?r.processor(e[t]):e[t]:function(e){if(e.default)return e.default;if(e=e.type,"string"!=typeof(e=Array.isArray(e)?e[0]:e))return e.enum[0];switch(e){case"boolean":return!1;case"string":return"";case"number":return 0;case"object":return{}}}(r))}}var j=[];function _(e){for(var t=0;t<j.length;t+=2)if(e>=j[t]&&e<=j[t+1])return 1}Y.forEach(function(e){return e.blocks.forEach(function(e){return j.push.apply(j,e)})});var ne={doubleleftarrow:"M262 157\nl10-10c34-36 62.7-77 86-123 3.3-8 5-13.3 5-16 0-5.3-6.7-8-20-8-7.3\n 0-12.2.5-14.5 1.5-2.3 1-4.8 4.5-7.5 10.5-49.3 97.3-121.7 169.3-217 216-28\n 14-57.3 25-88 33-6.7 2-11 3.8-13 5.5-2 1.7-3 4.2-3 7.5s1 5.8 3 7.5\nc2 1.7 6.3 3.5 13 5.5 68 17.3 128.2 47.8 180.5 91.5 52.3 43.7 93.8 96.2 124.5\n 157.5 9.3 8 15.3 12.3 18 13h6c12-.7 18-4 18-10 0-2-1.7-7-5-15-23.3-46-52-87\n-86-123l-10-10h399738v-40H218c328 0 0 0 0 0l-10-8c-26.7-20-65.7-43-117-69 2.7\n-2 6-3.7 10-5 36.7-16 72.3-37.3 107-64l10-8h399782v-40z\nm8 0v40h399730v-40zm0 194v40h399730v-40z",doublerightarrow:"M399738 392l\n-10 10c-34 36-62.7 77-86 123-3.3 8-5 13.3-5 16 0 5.3 6.7 8 20 8 7.3 0 12.2-.5\n 14.5-1.5 2.3-1 4.8-4.5 7.5-10.5 49.3-97.3 121.7-169.3 217-216 28-14 57.3-25 88\n-33 6.7-2 11-3.8 13-5.5 2-1.7 3-4.2 3-7.5s-1-5.8-3-7.5c-2-1.7-6.3-3.5-13-5.5-68\n-17.3-128.2-47.8-180.5-91.5-52.3-43.7-93.8-96.2-124.5-157.5-9.3-8-15.3-12.3-18\n-13h-6c-12 .7-18 4-18 10 0 2 1.7 7 5 15 23.3 46 52 87 86 123l10 10H0v40h399782\nc-328 0 0 0 0 0l10 8c26.7 20 65.7 43 117 69-2.7 2-6 3.7-10 5-36.7 16-72.3 37.3\n-107 64l-10 8H0v40zM0 157v40h399730v-40zm0 194v40h399730v-40z",leftarrow:"M400000 241H110l3-3c68.7-52.7 113.7-120\n 135-202 4-14.7 6-23 6-25 0-7.3-7-11-21-11-8 0-13.2.8-15.5 2.5-2.3 1.7-4.2 5.8\n-5.5 12.5-1.3 4.7-2.7 10.3-4 17-12 48.7-34.8 92-68.5 130S65.3 228.3 18 247\nc-10 4-16 7.7-18 11 0 8.7 6 14.3 18 17 47.3 18.7 87.8 47 121.5 85S196 441.3 208\n 490c.7 2 1.3 5 2 9s1.2 6.7 1.5 8c.3 1.3 1 3.3 2 6s2.2 4.5 3.5 5.5c1.3 1 3.3\n 1.8 6 2.5s6 1 10 1c14 0 21-3.7 21-11 0-2-2-10.3-6-25-20-79.3-65-146.7-135-202\n l-3-3h399890zM100 241v40h399900v-40z",leftbrace:"M6 548l-6-6v-35l6-11c56-104 135.3-181.3 238-232 57.3-28.7 117\n-45 179-50h399577v120H403c-43.3 7-81 15-113 26-100.7 33-179.7 91-237 174-2.7\n 5-6 9-10 13-.7 1-7.3 1-20 1H6z",leftbraceunder:"M0 6l6-6h17c12.688 0 19.313.3 20 1 4 4 7.313 8.3 10 13\n 35.313 51.3 80.813 93.8 136.5 127.5 55.688 33.7 117.188 55.8 184.5 66.5.688\n 0 2 .3 4 1 18.688 2.7 76 4.3 172 5h399450v120H429l-6-1c-124.688-8-235-61.7\n-331-161C60.687 138.7 32.312 99.3 7 54L0 41V6z",leftgroup:"M400000 80\nH435C64 80 168.3 229.4 21 260c-5.9 1.2-18 0-18 0-2 0-3-1-3-3v-38C76 61 257 0\n 435 0h399565z",leftgroupunder:"M400000 262\nH435C64 262 168.3 112.6 21 82c-5.9-1.2-18 0-18 0-2 0-3 1-3 3v38c76 158 257 219\n 435 219h399565z",leftharpoon:"M0 267c.7 5.3 3 10 7 14h399993v-40H93c3.3\n-3.3 10.2-9.5 20.5-18.5s17.8-15.8 22.5-20.5c50.7-52 88-110.3 112-175 4-11.3 5\n-18.3 3-21-1.3-4-7.3-6-18-6-8 0-13 .7-15 2s-4.7 6.7-8 16c-42 98.7-107.3 174.7\n-196 228-6.7 4.7-10.7 8-12 10-1.3 2-2 5.7-2 11zm100-26v40h399900v-40z",leftharpoonplus:"M0 267c.7 5.3 3 10 7 14h399993v-40H93c3.3-3.3 10.2-9.5\n 20.5-18.5s17.8-15.8 22.5-20.5c50.7-52 88-110.3 112-175 4-11.3 5-18.3 3-21-1.3\n-4-7.3-6-18-6-8 0-13 .7-15 2s-4.7 6.7-8 16c-42 98.7-107.3 174.7-196 228-6.7 4.7\n-10.7 8-12 10-1.3 2-2 5.7-2 11zm100-26v40h399900v-40zM0 435v40h400000v-40z\nm0 0v40h400000v-40z",leftharpoondown:"M7 241c-4 4-6.333 8.667-7 14 0 5.333.667 9 2 11s5.333\n 5.333 12 10c90.667 54 156 130 196 228 3.333 10.667 6.333 16.333 9 17 2 .667 5\n 1 9 1h5c10.667 0 16.667-2 18-6 2-2.667 1-9.667-3-21-32-87.333-82.667-157.667\n-152-211l-3-3h399907v-40zM93 281 H400000 v-40L7 241z",leftharpoondownplus:"M7 435c-4 4-6.3 8.7-7 14 0 5.3.7 9 2 11s5.3 5.3 12\n 10c90.7 54 156 130 196 228 3.3 10.7 6.3 16.3 9 17 2 .7 5 1 9 1h5c10.7 0 16.7\n-2 18-6 2-2.7 1-9.7-3-21-32-87.3-82.7-157.7-152-211l-3-3h399907v-40H7zm93 0\nv40h399900v-40zM0 241v40h399900v-40zm0 0v40h399900v-40z",lefthook:"M400000 281 H103s-33-11.2-61-33.5S0 197.3 0 164s14.2-61.2 42.5\n-83.5C70.8 58.2 104 47 142 47 c16.7 0 25 6.7 25 20 0 12-8.7 18.7-26 20-40 3.3\n-68.7 15.7-86 37-10 12-15 25.3-15 40 0 22.7 9.8 40.7 29.5 54 19.7 13.3 43.5 21\n 71.5 23h399859zM103 281v-40h399897v40z",leftlinesegment:"M40 281 V428 H0 V94 H40 V241 H400000 v40z\nM40 281 V428 H0 V94 H40 V241 H400000 v40z",leftmapsto:"M40 281 V448H0V74H40V241H400000v40z\nM40 281 V448H0V74H40V241H400000v40z",leftToFrom:"M0 147h400000v40H0zm0 214c68 40 115.7 95.7 143 167h22c15.3 0 23\n-.3 23-1 0-1.3-5.3-13.7-16-37-18-35.3-41.3-69-70-101l-7-8h399905v-40H95l7-8\nc28.7-32 52-65.7 70-101 10.7-23.3 16-35.7 16-37 0-.7-7.7-1-23-1h-22C115.7 265.3\n 68 321 0 361zm0-174v-40h399900v40zm100 154v40h399900v-40z",longequal:"M0 50 h400000 v40H0z m0 194h40000v40H0z\nM0 50 h400000 v40H0z m0 194h40000v40H0z",midbrace:"M200428 334\nc-100.7-8.3-195.3-44-280-108-55.3-42-101.7-93-139-153l-9-14c-2.7 4-5.7 8.7-9 14\n-53.3 86.7-123.7 153-211 199-66.7 36-137.3 56.3-212 62H0V214h199568c178.3-11.7\n 311.7-78.3 403-201 6-8 9.7-12 11-12 .7-.7 6.7-1 18-1s17.3.3 18 1c1.3 0 5 4 11\n 12 44.7 59.3 101.3 106.3 170 141s145.3 54.3 229 60h199572v120z",midbraceunder:"M199572 214\nc100.7 8.3 195.3 44 280 108 55.3 42 101.7 93 139 153l9 14c2.7-4 5.7-8.7 9-14\n 53.3-86.7 123.7-153 211-199 66.7-36 137.3-56.3 212-62h199568v120H200432c-178.3\n 11.7-311.7 78.3-403 201-6 8-9.7 12-11 12-.7.7-6.7 1-18 1s-17.3-.3-18-1c-1.3 0\n-5-4-11-12-44.7-59.3-101.3-106.3-170-141s-145.3-54.3-229-60H0V214z",oiintSize1:"M512.6 71.6c272.6 0 320.3 106.8 320.3 178.2 0 70.8-47.7 177.6\n-320.3 177.6S193.1 320.6 193.1 249.8c0-71.4 46.9-178.2 319.5-178.2z\nm368.1 178.2c0-86.4-60.9-215.4-368.1-215.4-306.4 0-367.3 129-367.3 215.4 0 85.8\n60.9 214.8 367.3 214.8 307.2 0 368.1-129 368.1-214.8z",oiintSize2:"M757.8 100.1c384.7 0 451.1 137.6 451.1 230 0 91.3-66.4 228.8\n-451.1 228.8-386.3 0-452.7-137.5-452.7-228.8 0-92.4 66.4-230 452.7-230z\nm502.4 230c0-111.2-82.4-277.2-502.4-277.2s-504 166-504 277.2\nc0 110 84 276 504 276s502.4-166 502.4-276z",oiiintSize1:"M681.4 71.6c408.9 0 480.5 106.8 480.5 178.2 0 70.8-71.6 177.6\n-480.5 177.6S202.1 320.6 202.1 249.8c0-71.4 70.5-178.2 479.3-178.2z\nm525.8 178.2c0-86.4-86.8-215.4-525.7-215.4-437.9 0-524.7 129-524.7 215.4 0\n85.8 86.8 214.8 524.7 214.8 438.9 0 525.7-129 525.7-214.8z",oiiintSize2:"M1021.2 53c603.6 0 707.8 165.8 707.8 277.2 0 110-104.2 275.8\n-707.8 275.8-606 0-710.2-165.8-710.2-275.8C311 218.8 415.2 53 1021.2 53z\nm770.4 277.1c0-131.2-126.4-327.6-770.5-327.6S248.4 198.9 248.4 330.1\nc0 130 128.8 326.4 772.7 326.4s770.5-196.4 770.5-326.4z",rightarrow:"M0 241v40h399891c-47.3 35.3-84 78-110 128\n-16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20\n 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7\n 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85\n-40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5\n-12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67\n 151.7 139 205zm0 0v40h399900v-40z",rightbrace:"M400000 542l\n-6 6h-17c-12.7 0-19.3-.3-20-1-4-4-7.3-8.3-10-13-35.3-51.3-80.8-93.8-136.5-127.5\ns-117.2-55.8-184.5-66.5c-.7 0-2-.3-4-1-18.7-2.7-76-4.3-172-5H0V214h399571l6 1\nc124.7 8 235 61.7 331 161 31.3 33.3 59.7 72.7 85 118l7 13v35z",rightbraceunder:"M399994 0l6 6v35l-6 11c-56 104-135.3 181.3-238 232-57.3\n 28.7-117 45-179 50H-300V214h399897c43.3-7 81-15 113-26 100.7-33 179.7-91 237\n-174 2.7-5 6-9 10-13 .7-1 7.3-1 20-1h17z",rightgroup:"M0 80h399565c371 0 266.7 149.4 414 180 5.9 1.2 18 0 18 0 2 0\n 3-1 3-3v-38c-76-158-257-219-435-219H0z",rightgroupunder:"M0 262h399565c371 0 266.7-149.4 414-180 5.9-1.2 18 0 18\n 0 2 0 3 1 3 3v38c-76 158-257 219-435 219H0z",rightharpoon:"M0 241v40h399993c4.7-4.7 7-9.3 7-14 0-9.3\n-3.7-15.3-11-18-92.7-56.7-159-133.7-199-231-3.3-9.3-6-14.7-8-16-2-1.3-7-2-15-2\n-10.7 0-16.7 2-18 6-2 2.7-1 9.7 3 21 15.3 42 36.7 81.8 64 119.5 27.3 37.7 58\n 69.2 92 94.5zm0 0v40h399900v-40z",rightharpoonplus:"M0 241v40h399993c4.7-4.7 7-9.3 7-14 0-9.3-3.7-15.3-11\n-18-92.7-56.7-159-133.7-199-231-3.3-9.3-6-14.7-8-16-2-1.3-7-2-15-2-10.7 0-16.7\n 2-18 6-2 2.7-1 9.7 3 21 15.3 42 36.7 81.8 64 119.5 27.3 37.7 58 69.2 92 94.5z\nm0 0v40h399900v-40z m100 194v40h399900v-40zm0 0v40h399900v-40z",rightharpoondown:"M399747 511c0 7.3 6.7 11 20 11 8 0 13-.8 15-2.5s4.7-6.8\n 8-15.5c40-94 99.3-166.3 178-217 13.3-8 20.3-12.3 21-13 5.3-3.3 8.5-5.8 9.5\n-7.5 1-1.7 1.5-5.2 1.5-10.5s-2.3-10.3-7-15H0v40h399908c-34 25.3-64.7 57-92 95\n-27.3 38-48.7 77.7-64 119-3.3 8.7-5 14-5 16zM0 241v40h399900v-40z",rightharpoondownplus:"M399747 705c0 7.3 6.7 11 20 11 8 0 13-.8\n 15-2.5s4.7-6.8 8-15.5c40-94 99.3-166.3 178-217 13.3-8 20.3-12.3 21-13 5.3-3.3\n 8.5-5.8 9.5-7.5 1-1.7 1.5-5.2 1.5-10.5s-2.3-10.3-7-15H0v40h399908c-34 25.3\n-64.7 57-92 95-27.3 38-48.7 77.7-64 119-3.3 8.7-5 14-5 16zM0 435v40h399900v-40z\nm0-194v40h400000v-40zm0 0v40h400000v-40z",righthook:"M399859 241c-764 0 0 0 0 0 40-3.3 68.7-15.7 86-37 10-12 15-25.3\n 15-40 0-22.7-9.8-40.7-29.5-54-19.7-13.3-43.5-21-71.5-23-17.3-1.3-26-8-26-20 0\n-13.3 8.7-20 26-20 38 0 71 11.2 99 33.5 0 0 7 5.6 21 16.7 14 11.2 21 33.5 21\n 66.8s-14 61.2-42 83.5c-28 22.3-61 33.5-99 33.5L0 241z M0 281v-40h399859v40z",rightlinesegment:"M399960 241 V94 h40 V428 h-40 V281 H0 v-40z\nM399960 241 V94 h40 V428 h-40 V281 H0 v-40z",rightToFrom:"M400000 167c-70.7-42-118-97.7-142-167h-23c-15.3 0-23 .3-23\n 1 0 1.3 5.3 13.7 16 37 18 35.3 41.3 69 70 101l7 8H0v40h399905l-7 8c-28.7 32\n-52 65.7-70 101-10.7 23.3-16 35.7-16 37 0 .7 7.7 1 23 1h23c24-69.3 71.3-125 142\n-167z M100 147v40h399900v-40zM0 341v40h399900v-40z",twoheadleftarrow:"M0 167c68 40\n 115.7 95.7 143 167h22c15.3 0 23-.3 23-1 0-1.3-5.3-13.7-16-37-18-35.3-41.3-69\n-70-101l-7-8h125l9 7c50.7 39.3 85 86 103 140h46c0-4.7-6.3-18.7-19-42-18-35.3\n-40-67.3-66-96l-9-9h399716v-40H284l9-9c26-28.7 48-60.7 66-96 12.7-23.333 19\n-37.333 19-42h-46c-18 54-52.3 100.7-103 140l-9 7H95l7-8c28.7-32 52-65.7 70-101\n 10.7-23.333 16-35.7 16-37 0-.7-7.7-1-23-1h-22C115.7 71.3 68 127 0 167z",twoheadrightarrow:"M400000 167\nc-68-40-115.7-95.7-143-167h-22c-15.3 0-23 .3-23 1 0 1.3 5.3 13.7 16 37 18 35.3\n 41.3 69 70 101l7 8h-125l-9-7c-50.7-39.3-85-86-103-140h-46c0 4.7 6.3 18.7 19 42\n 18 35.3 40 67.3 66 96l9 9H0v40h399716l-9 9c-26 28.7-48 60.7-66 96-12.7 23.333\n-19 37.333-19 42h46c18-54 52.3-100.7 103-140l9-7h125l-7 8c-28.7 32-52 65.7-70\n 101-10.7 23.333-16 35.7-16 37 0 .7 7.7 1 23 1h22c27.3-71.3 75-127 143-167z",tilde1:"M200 55.538c-77 0-168 73.953-177 73.953-3 0-7\n-2.175-9-5.437L2 97c-1-2-2-4-2-6 0-4 2-7 5-9l20-12C116 12 171 0 207 0c86 0\n 114 68 191 68 78 0 168-68 177-68 4 0 7 2 9 5l12 19c1 2.175 2 4.35 2 6.525 0\n 4.35-2 7.613-5 9.788l-19 13.05c-92 63.077-116.937 75.308-183 76.128\n-68.267.847-113-73.952-191-73.952z",tilde2:"M344 55.266c-142 0-300.638 81.316-311.5 86.418\n-8.01 3.762-22.5 10.91-23.5 5.562L1 120c-1-2-1-3-1-4 0-5 3-9 8-10l18.4-9C160.9\n 31.9 283 0 358 0c148 0 188 122 331 122s314-97 326-97c4 0 8 2 10 7l7 21.114\nc1 2.14 1 3.21 1 4.28 0 5.347-3 9.626-7 10.696l-22.3 12.622C852.6 158.372 751\n 181.476 676 181.476c-149 0-189-126.21-332-126.21z",tilde3:"M786 59C457 59 32 175.242 13 175.242c-6 0-10-3.457\n-11-10.37L.15 138c-1-7 3-12 10-13l19.2-6.4C378.4 40.7 634.3 0 804.3 0c337 0\n 411.8 157 746.8 157 328 0 754-112 773-112 5 0 10 3 11 9l1 14.075c1 8.066-.697\n 16.595-6.697 17.492l-21.052 7.31c-367.9 98.146-609.15 122.696-778.15 122.696\n -338 0-409-156.573-744-156.573z",tilde4:"M786 58C457 58 32 177.487 13 177.487c-6 0-10-3.345\n-11-10.035L.15 143c-1-7 3-12 10-13l22-6.7C381.2 35 637.15 0 807.15 0c337 0 409\n 177 744 177 328 0 754-127 773-127 5 0 10 3 11 9l1 14.794c1 7.805-3 13.38-9\n 14.495l-20.7 5.574c-366.85 99.79-607.3 139.372-776.3 139.372-338 0-409\n -175.236-744-175.236z",vec:"M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5\n3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11\n10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63\n-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1\n-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59\nH213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359\nc-16-25.333-24-45-24-59z",widehat1:"M529 0h5l519 115c5 1 9 5 9 10 0 1-1 2-1 3l-4 22\nc-1 5-5 9-11 9h-2L532 67 19 159h-2c-5 0-9-4-11-9l-5-22c-1-6 2-12 8-13z",widehat2:"M1181 0h2l1171 176c6 0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 220h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z",widehat3:"M1181 0h2l1171 236c6 0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 280h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z",widehat4:"M1181 0h2l1171 296c6 0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 340h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z",widecheck1:"M529,159h5l519,-115c5,-1,9,-5,9,-10c0,-1,-1,-2,-1,-3l-4,-22c-1,\n-5,-5,-9,-11,-9h-2l-512,92l-513,-92h-2c-5,0,-9,4,-11,9l-5,22c-1,6,2,12,8,13z",widecheck2:"M1181,220h2l1171,-176c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,153l-1167,-153h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z",widecheck3:"M1181,280h2l1171,-236c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,213l-1167,-213h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z",widecheck4:"M1181,340h2l1171,-296c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,273l-1167,-273h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z",baraboveleftarrow:"M400000 620h-399890l3 -3c68.7 -52.7 113.7 -120 135 -202\nc4 -14.7 6 -23 6 -25c0 -7.3 -7 -11 -21 -11c-8 0 -13.2 0.8 -15.5 2.5\nc-2.3 1.7 -4.2 5.8 -5.5 12.5c-1.3 4.7 -2.7 10.3 -4 17c-12 48.7 -34.8 92 -68.5 130\ns-74.2 66.3 -121.5 85c-10 4 -16 7.7 -18 11c0 8.7 6 14.3 18 17c47.3 18.7 87.8 47\n121.5 85s56.5 81.3 68.5 130c0.7 2 1.3 5 2 9s1.2 6.7 1.5 8c0.3 1.3 1 3.3 2 6\ns2.2 4.5 3.5 5.5c1.3 1 3.3 1.8 6 2.5s6 1 10 1c14 0 21 -3.7 21 -11\nc0 -2 -2 -10.3 -6 -25c-20 -79.3 -65 -146.7 -135 -202l-3 -3h399890z\nM100 620v40h399900v-40z M0 241v40h399900v-40zM0 241v40h399900v-40z",rightarrowabovebar:"M0 241v40h399891c-47.3 35.3-84 78-110 128-16.7 32\n-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0\n13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39\n-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85-40.5\n-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5\n-12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67\n151.7 139 205zm96 379h399894v40H0zm0 0h399904v40H0z",baraboveshortleftharpoon:"M507,435c-4,4,-6.3,8.7,-7,14c0,5.3,0.7,9,2,11\nc1.3,2,5.3,5.3,12,10c90.7,54,156,130,196,228c3.3,10.7,6.3,16.3,9,17\nc2,0.7,5,1,9,1c0,0,5,0,5,0c10.7,0,16.7,-2,18,-6c2,-2.7,1,-9.7,-3,-21\nc-32,-87.3,-82.7,-157.7,-152,-211c0,0,-3,-3,-3,-3l399351,0l0,-40\nc-398570,0,-399437,0,-399437,0z M593 435 v40 H399500 v-40z\nM0 281 v-40 H399908 v40z M0 281 v-40 H399908 v40z",rightharpoonaboveshortbar:"M0,241 l0,40c399126,0,399993,0,399993,0\nc4.7,-4.7,7,-9.3,7,-14c0,-9.3,-3.7,-15.3,-11,-18c-92.7,-56.7,-159,-133.7,-199,\n-231c-3.3,-9.3,-6,-14.7,-8,-16c-2,-1.3,-7,-2,-15,-2c-10.7,0,-16.7,2,-18,6\nc-2,2.7,-1,9.7,3,21c15.3,42,36.7,81.8,64,119.5c27.3,37.7,58,69.2,92,94.5z\nM0 241 v40 H399908 v-40z M0 475 v-40 H399500 v40z M0 475 v-40 H399500 v40z",shortbaraboveleftharpoon:"M7,435c-4,4,-6.3,8.7,-7,14c0,5.3,0.7,9,2,11\nc1.3,2,5.3,5.3,12,10c90.7,54,156,130,196,228c3.3,10.7,6.3,16.3,9,17c2,0.7,5,1,9,\n1c0,0,5,0,5,0c10.7,0,16.7,-2,18,-6c2,-2.7,1,-9.7,-3,-21c-32,-87.3,-82.7,-157.7,\n-152,-211c0,0,-3,-3,-3,-3l399907,0l0,-40c-399126,0,-399993,0,-399993,0z\nM93 435 v40 H400000 v-40z M500 241 v40 H400000 v-40z M500 241 v40 H400000 v-40z",shortrightharpoonabovebar:"M53,241l0,40c398570,0,399437,0,399437,0\nc4.7,-4.7,7,-9.3,7,-14c0,-9.3,-3.7,-15.3,-11,-18c-92.7,-56.7,-159,-133.7,-199,\n-231c-3.3,-9.3,-6,-14.7,-8,-16c-2,-1.3,-7,-2,-15,-2c-10.7,0,-16.7,2,-18,6\nc-2,2.7,-1,9.7,3,21c15.3,42,36.7,81.8,64,119.5c27.3,37.7,58,69.2,92,94.5z\nM500 241 v40 H399408 v-40z M500 435 v40 H400000 v-40z"},ie=((t=le.prototype).hasClass=function(e){return Z.contains(this.classes,e)},t.toNode=function(){for(var e=document.createDocumentFragment(),t=0;t<this.children.length;t++)e.appendChild(this.children[t].toNode());return e},t.toMarkup=function(){for(var e="",t=0;t<this.children.length;t++)e+=this.children[t].toMarkup();return e},t.toText=function(){return this.children.map(function(e){return e.toText()}).join("")},le),ae={"AMS-Regular":{32:[0,0,0,0,.25],65:[0,.68889,0,0,.72222],66:[0,.68889,0,0,.66667],67:[0,.68889,0,0,.72222],68:[0,.68889,0,0,.72222],69:[0,.68889,0,0,.66667],70:[0,.68889,0,0,.61111],71:[0,.68889,0,0,.77778],72:[0,.68889,0,0,.77778],73:[0,.68889,0,0,.38889],74:[.16667,.68889,0,0,.5],75:[0,.68889,0,0,.77778],76:[0,.68889,0,0,.66667],77:[0,.68889,0,0,.94445],78:[0,.68889,0,0,.72222],79:[.16667,.68889,0,0,.77778],80:[0,.68889,0,0,.61111],81:[.16667,.68889,0,0,.77778],82:[0,.68889,0,0,.72222],83:[0,.68889,0,0,.55556],84:[0,.68889,0,0,.66667],85:[0,.68889,0,0,.72222],86:[0,.68889,0,0,.72222],87:[0,.68889,0,0,1],88:[0,.68889,0,0,.72222],89:[0,.68889,0,0,.72222],90:[0,.68889,0,0,.66667],107:[0,.68889,0,0,.55556],160:[0,0,0,0,.25],165:[0,.675,.025,0,.75],174:[.15559,.69224,0,0,.94666],240:[0,.68889,0,0,.55556],295:[0,.68889,0,0,.54028],710:[0,.825,0,0,2.33334],732:[0,.9,0,0,2.33334],770:[0,.825,0,0,2.33334],771:[0,.9,0,0,2.33334],989:[.08167,.58167,0,0,.77778],1008:[0,.43056,.04028,0,.66667],8245:[0,.54986,0,0,.275],8463:[0,.68889,0,0,.54028],8487:[0,.68889,0,0,.72222],8498:[0,.68889,0,0,.55556],8502:[0,.68889,0,0,.66667],8503:[0,.68889,0,0,.44445],8504:[0,.68889,0,0,.66667],8513:[0,.68889,0,0,.63889],8592:[-.03598,.46402,0,0,.5],8594:[-.03598,.46402,0,0,.5],8602:[-.13313,.36687,0,0,1],8603:[-.13313,.36687,0,0,1],8606:[.01354,.52239,0,0,1],8608:[.01354,.52239,0,0,1],8610:[.01354,.52239,0,0,1.11111],8611:[.01354,.52239,0,0,1.11111],8619:[0,.54986,0,0,1],8620:[0,.54986,0,0,1],8621:[-.13313,.37788,0,0,1.38889],8622:[-.13313,.36687,0,0,1],8624:[0,.69224,0,0,.5],8625:[0,.69224,0,0,.5],8630:[0,.43056,0,0,1],8631:[0,.43056,0,0,1],8634:[.08198,.58198,0,0,.77778],8635:[.08198,.58198,0,0,.77778],8638:[.19444,.69224,0,0,.41667],8639:[.19444,.69224,0,0,.41667],8642:[.19444,.69224,0,0,.41667],8643:[.19444,.69224,0,0,.41667],8644:[.1808,.675,0,0,1],8646:[.1808,.675,0,0,1],8647:[.1808,.675,0,0,1],8648:[.19444,.69224,0,0,.83334],8649:[.1808,.675,0,0,1],8650:[.19444,.69224,0,0,.83334],8651:[.01354,.52239,0,0,1],8652:[.01354,.52239,0,0,1],8653:[-.13313,.36687,0,0,1],8654:[-.13313,.36687,0,0,1],8655:[-.13313,.36687,0,0,1],8666:[.13667,.63667,0,0,1],8667:[.13667,.63667,0,0,1],8669:[-.13313,.37788,0,0,1],8672:[-.064,.437,0,0,1.334],8674:[-.064,.437,0,0,1.334],8705:[0,.825,0,0,.5],8708:[0,.68889,0,0,.55556],8709:[.08167,.58167,0,0,.77778],8717:[0,.43056,0,0,.42917],8722:[-.03598,.46402,0,0,.5],8724:[.08198,.69224,0,0,.77778],8726:[.08167,.58167,0,0,.77778],8733:[0,.69224,0,0,.77778],8736:[0,.69224,0,0,.72222],8737:[0,.69224,0,0,.72222],8738:[.03517,.52239,0,0,.72222],8739:[.08167,.58167,0,0,.22222],8740:[.25142,.74111,0,0,.27778],8741:[.08167,.58167,0,0,.38889],8742:[.25142,.74111,0,0,.5],8756:[0,.69224,0,0,.66667],8757:[0,.69224,0,0,.66667],8764:[-.13313,.36687,0,0,.77778],8765:[-.13313,.37788,0,0,.77778],8769:[-.13313,.36687,0,0,.77778],8770:[-.03625,.46375,0,0,.77778],8774:[.30274,.79383,0,0,.77778],8776:[-.01688,.48312,0,0,.77778],8778:[.08167,.58167,0,0,.77778],8782:[.06062,.54986,0,0,.77778],8783:[.06062,.54986,0,0,.77778],8785:[.08198,.58198,0,0,.77778],8786:[.08198,.58198,0,0,.77778],8787:[.08198,.58198,0,0,.77778],8790:[0,.69224,0,0,.77778],8791:[.22958,.72958,0,0,.77778],8796:[.08198,.91667,0,0,.77778],8806:[.25583,.75583,0,0,.77778],8807:[.25583,.75583,0,0,.77778],8808:[.25142,.75726,0,0,.77778],8809:[.25142,.75726,0,0,.77778],8812:[.25583,.75583,0,0,.5],8814:[.20576,.70576,0,0,.77778],8815:[.20576,.70576,0,0,.77778],8816:[.30274,.79383,0,0,.77778],8817:[.30274,.79383,0,0,.77778],8818:[.22958,.72958,0,0,.77778],8819:[.22958,.72958,0,0,.77778],8822:[.1808,.675,0,0,.77778],8823:[.1808,.675,0,0,.77778],8828:[.13667,.63667,0,0,.77778],8829:[.13667,.63667,0,0,.77778],8830:[.22958,.72958,0,0,.77778],8831:[.22958,.72958,0,0,.77778],8832:[.20576,.70576,0,0,.77778],8833:[.20576,.70576,0,0,.77778],8840:[.30274,.79383,0,0,.77778],8841:[.30274,.79383,0,0,.77778],8842:[.13597,.63597,0,0,.77778],8843:[.13597,.63597,0,0,.77778],8847:[.03517,.54986,0,0,.77778],8848:[.03517,.54986,0,0,.77778],8858:[.08198,.58198,0,0,.77778],8859:[.08198,.58198,0,0,.77778],8861:[.08198,.58198,0,0,.77778],8862:[0,.675,0,0,.77778],8863:[0,.675,0,0,.77778],8864:[0,.675,0,0,.77778],8865:[0,.675,0,0,.77778],8872:[0,.69224,0,0,.61111],8873:[0,.69224,0,0,.72222],8874:[0,.69224,0,0,.88889],8876:[0,.68889,0,0,.61111],8877:[0,.68889,0,0,.61111],8878:[0,.68889,0,0,.72222],8879:[0,.68889,0,0,.72222],8882:[.03517,.54986,0,0,.77778],8883:[.03517,.54986,0,0,.77778],8884:[.13667,.63667,0,0,.77778],8885:[.13667,.63667,0,0,.77778],8888:[0,.54986,0,0,1.11111],8890:[.19444,.43056,0,0,.55556],8891:[.19444,.69224,0,0,.61111],8892:[.19444,.69224,0,0,.61111],8901:[0,.54986,0,0,.27778],8903:[.08167,.58167,0,0,.77778],8905:[.08167,.58167,0,0,.77778],8906:[.08167,.58167,0,0,.77778],8907:[0,.69224,0,0,.77778],8908:[0,.69224,0,0,.77778],8909:[-.03598,.46402,0,0,.77778],8910:[0,.54986,0,0,.76042],8911:[0,.54986,0,0,.76042],8912:[.03517,.54986,0,0,.77778],8913:[.03517,.54986,0,0,.77778],8914:[0,.54986,0,0,.66667],8915:[0,.54986,0,0,.66667],8916:[0,.69224,0,0,.66667],8918:[.0391,.5391,0,0,.77778],8919:[.0391,.5391,0,0,.77778],8920:[.03517,.54986,0,0,1.33334],8921:[.03517,.54986,0,0,1.33334],8922:[.38569,.88569,0,0,.77778],8923:[.38569,.88569,0,0,.77778],8926:[.13667,.63667,0,0,.77778],8927:[.13667,.63667,0,0,.77778],8928:[.30274,.79383,0,0,.77778],8929:[.30274,.79383,0,0,.77778],8934:[.23222,.74111,0,0,.77778],8935:[.23222,.74111,0,0,.77778],8936:[.23222,.74111,0,0,.77778],8937:[.23222,.74111,0,0,.77778],8938:[.20576,.70576,0,0,.77778],8939:[.20576,.70576,0,0,.77778],8940:[.30274,.79383,0,0,.77778],8941:[.30274,.79383,0,0,.77778],8994:[.19444,.69224,0,0,.77778],8995:[.19444,.69224,0,0,.77778],9416:[.15559,.69224,0,0,.90222],9484:[0,.69224,0,0,.5],9488:[0,.69224,0,0,.5],9492:[0,.37788,0,0,.5],9496:[0,.37788,0,0,.5],9585:[.19444,.68889,0,0,.88889],9586:[.19444,.74111,0,0,.88889],9632:[0,.675,0,0,.77778],9633:[0,.675,0,0,.77778],9650:[0,.54986,0,0,.72222],9651:[0,.54986,0,0,.72222],9654:[.03517,.54986,0,0,.77778],9660:[0,.54986,0,0,.72222],9661:[0,.54986,0,0,.72222],9664:[.03517,.54986,0,0,.77778],9674:[.11111,.69224,0,0,.66667],9733:[.19444,.69224,0,0,.94445],10003:[0,.69224,0,0,.83334],10016:[0,.69224,0,0,.83334],10731:[.11111,.69224,0,0,.66667],10846:[.19444,.75583,0,0,.61111],10877:[.13667,.63667,0,0,.77778],10878:[.13667,.63667,0,0,.77778],10885:[.25583,.75583,0,0,.77778],10886:[.25583,.75583,0,0,.77778],10887:[.13597,.63597,0,0,.77778],10888:[.13597,.63597,0,0,.77778],10889:[.26167,.75726,0,0,.77778],10890:[.26167,.75726,0,0,.77778],10891:[.48256,.98256,0,0,.77778],10892:[.48256,.98256,0,0,.77778],10901:[.13667,.63667,0,0,.77778],10902:[.13667,.63667,0,0,.77778],10933:[.25142,.75726,0,0,.77778],10934:[.25142,.75726,0,0,.77778],10935:[.26167,.75726,0,0,.77778],10936:[.26167,.75726,0,0,.77778],10937:[.26167,.75726,0,0,.77778],10938:[.26167,.75726,0,0,.77778],10949:[.25583,.75583,0,0,.77778],10950:[.25583,.75583,0,0,.77778],10955:[.28481,.79383,0,0,.77778],10956:[.28481,.79383,0,0,.77778],57350:[.08167,.58167,0,0,.22222],57351:[.08167,.58167,0,0,.38889],57352:[.08167,.58167,0,0,.77778],57353:[0,.43056,.04028,0,.66667],57356:[.25142,.75726,0,0,.77778],57357:[.25142,.75726,0,0,.77778],57358:[.41951,.91951,0,0,.77778],57359:[.30274,.79383,0,0,.77778],57360:[.30274,.79383,0,0,.77778],57361:[.41951,.91951,0,0,.77778],57366:[.25142,.75726,0,0,.77778],57367:[.25142,.75726,0,0,.77778],57368:[.25142,.75726,0,0,.77778],57369:[.25142,.75726,0,0,.77778],57370:[.13597,.63597,0,0,.77778],57371:[.13597,.63597,0,0,.77778]},"Caligraphic-Regular":{32:[0,0,0,0,.25],65:[0,.68333,0,.19445,.79847],66:[0,.68333,.03041,.13889,.65681],67:[0,.68333,.05834,.13889,.52653],68:[0,.68333,.02778,.08334,.77139],69:[0,.68333,.08944,.11111,.52778],70:[0,.68333,.09931,.11111,.71875],71:[.09722,.68333,.0593,.11111,.59487],72:[0,.68333,.00965,.11111,.84452],73:[0,.68333,.07382,0,.54452],74:[.09722,.68333,.18472,.16667,.67778],75:[0,.68333,.01445,.05556,.76195],76:[0,.68333,0,.13889,.68972],77:[0,.68333,0,.13889,1.2009],78:[0,.68333,.14736,.08334,.82049],79:[0,.68333,.02778,.11111,.79611],80:[0,.68333,.08222,.08334,.69556],81:[.09722,.68333,0,.11111,.81667],82:[0,.68333,0,.08334,.8475],83:[0,.68333,.075,.13889,.60556],84:[0,.68333,.25417,0,.54464],85:[0,.68333,.09931,.08334,.62583],86:[0,.68333,.08222,0,.61278],87:[0,.68333,.08222,.08334,.98778],88:[0,.68333,.14643,.13889,.7133],89:[.09722,.68333,.08222,.08334,.66834],90:[0,.68333,.07944,.13889,.72473],160:[0,0,0,0,.25]},"Fraktur-Regular":{32:[0,0,0,0,.25],33:[0,.69141,0,0,.29574],34:[0,.69141,0,0,.21471],38:[0,.69141,0,0,.73786],39:[0,.69141,0,0,.21201],40:[.24982,.74947,0,0,.38865],41:[.24982,.74947,0,0,.38865],42:[0,.62119,0,0,.27764],43:[.08319,.58283,0,0,.75623],44:[0,.10803,0,0,.27764],45:[.08319,.58283,0,0,.75623],46:[0,.10803,0,0,.27764],47:[.24982,.74947,0,0,.50181],48:[0,.47534,0,0,.50181],49:[0,.47534,0,0,.50181],50:[0,.47534,0,0,.50181],51:[.18906,.47534,0,0,.50181],52:[.18906,.47534,0,0,.50181],53:[.18906,.47534,0,0,.50181],54:[0,.69141,0,0,.50181],55:[.18906,.47534,0,0,.50181],56:[0,.69141,0,0,.50181],57:[.18906,.47534,0,0,.50181],58:[0,.47534,0,0,.21606],59:[.12604,.47534,0,0,.21606],61:[-.13099,.36866,0,0,.75623],63:[0,.69141,0,0,.36245],65:[0,.69141,0,0,.7176],66:[0,.69141,0,0,.88397],67:[0,.69141,0,0,.61254],68:[0,.69141,0,0,.83158],69:[0,.69141,0,0,.66278],70:[.12604,.69141,0,0,.61119],71:[0,.69141,0,0,.78539],72:[.06302,.69141,0,0,.7203],73:[0,.69141,0,0,.55448],74:[.12604,.69141,0,0,.55231],75:[0,.69141,0,0,.66845],76:[0,.69141,0,0,.66602],77:[0,.69141,0,0,1.04953],78:[0,.69141,0,0,.83212],79:[0,.69141,0,0,.82699],80:[.18906,.69141,0,0,.82753],81:[.03781,.69141,0,0,.82699],82:[0,.69141,0,0,.82807],83:[0,.69141,0,0,.82861],84:[0,.69141,0,0,.66899],85:[0,.69141,0,0,.64576],86:[0,.69141,0,0,.83131],87:[0,.69141,0,0,1.04602],88:[0,.69141,0,0,.71922],89:[.18906,.69141,0,0,.83293],90:[.12604,.69141,0,0,.60201],91:[.24982,.74947,0,0,.27764],93:[.24982,.74947,0,0,.27764],94:[0,.69141,0,0,.49965],97:[0,.47534,0,0,.50046],98:[0,.69141,0,0,.51315],99:[0,.47534,0,0,.38946],100:[0,.62119,0,0,.49857],101:[0,.47534,0,0,.40053],102:[.18906,.69141,0,0,.32626],103:[.18906,.47534,0,0,.5037],104:[.18906,.69141,0,0,.52126],105:[0,.69141,0,0,.27899],106:[0,.69141,0,0,.28088],107:[0,.69141,0,0,.38946],108:[0,.69141,0,0,.27953],109:[0,.47534,0,0,.76676],110:[0,.47534,0,0,.52666],111:[0,.47534,0,0,.48885],112:[.18906,.52396,0,0,.50046],113:[.18906,.47534,0,0,.48912],114:[0,.47534,0,0,.38919],115:[0,.47534,0,0,.44266],116:[0,.62119,0,0,.33301],117:[0,.47534,0,0,.5172],118:[0,.52396,0,0,.5118],119:[0,.52396,0,0,.77351],120:[.18906,.47534,0,0,.38865],121:[.18906,.47534,0,0,.49884],122:[.18906,.47534,0,0,.39054],160:[0,0,0,0,.25],8216:[0,.69141,0,0,.21471],8217:[0,.69141,0,0,.21471],58112:[0,.62119,0,0,.49749],58113:[0,.62119,0,0,.4983],58114:[.18906,.69141,0,0,.33328],58115:[.18906,.69141,0,0,.32923],58116:[.18906,.47534,0,0,.50343],58117:[0,.69141,0,0,.33301],58118:[0,.62119,0,0,.33409],58119:[0,.47534,0,0,.50073]},"Main-Bold":{32:[0,0,0,0,.25],33:[0,.69444,0,0,.35],34:[0,.69444,0,0,.60278],35:[.19444,.69444,0,0,.95833],36:[.05556,.75,0,0,.575],37:[.05556,.75,0,0,.95833],38:[0,.69444,0,0,.89444],39:[0,.69444,0,0,.31944],40:[.25,.75,0,0,.44722],41:[.25,.75,0,0,.44722],42:[0,.75,0,0,.575],43:[.13333,.63333,0,0,.89444],44:[.19444,.15556,0,0,.31944],45:[0,.44444,0,0,.38333],46:[0,.15556,0,0,.31944],47:[.25,.75,0,0,.575],48:[0,.64444,0,0,.575],49:[0,.64444,0,0,.575],50:[0,.64444,0,0,.575],51:[0,.64444,0,0,.575],52:[0,.64444,0,0,.575],53:[0,.64444,0,0,.575],54:[0,.64444,0,0,.575],55:[0,.64444,0,0,.575],56:[0,.64444,0,0,.575],57:[0,.64444,0,0,.575],58:[0,.44444,0,0,.31944],59:[.19444,.44444,0,0,.31944],60:[.08556,.58556,0,0,.89444],61:[-.10889,.39111,0,0,.89444],62:[.08556,.58556,0,0,.89444],63:[0,.69444,0,0,.54305],64:[0,.69444,0,0,.89444],65:[0,.68611,0,0,.86944],66:[0,.68611,0,0,.81805],67:[0,.68611,0,0,.83055],68:[0,.68611,0,0,.88194],69:[0,.68611,0,0,.75555],70:[0,.68611,0,0,.72361],71:[0,.68611,0,0,.90416],72:[0,.68611,0,0,.9],73:[0,.68611,0,0,.43611],74:[0,.68611,0,0,.59444],75:[0,.68611,0,0,.90138],76:[0,.68611,0,0,.69166],77:[0,.68611,0,0,1.09166],78:[0,.68611,0,0,.9],79:[0,.68611,0,0,.86388],80:[0,.68611,0,0,.78611],81:[.19444,.68611,0,0,.86388],82:[0,.68611,0,0,.8625],83:[0,.68611,0,0,.63889],84:[0,.68611,0,0,.8],85:[0,.68611,0,0,.88472],86:[0,.68611,.01597,0,.86944],87:[0,.68611,.01597,0,1.18888],88:[0,.68611,0,0,.86944],89:[0,.68611,.02875,0,.86944],90:[0,.68611,0,0,.70277],91:[.25,.75,0,0,.31944],92:[.25,.75,0,0,.575],93:[.25,.75,0,0,.31944],94:[0,.69444,0,0,.575],95:[.31,.13444,.03194,0,.575],97:[0,.44444,0,0,.55902],98:[0,.69444,0,0,.63889],99:[0,.44444,0,0,.51111],100:[0,.69444,0,0,.63889],101:[0,.44444,0,0,.52708],102:[0,.69444,.10903,0,.35139],103:[.19444,.44444,.01597,0,.575],104:[0,.69444,0,0,.63889],105:[0,.69444,0,0,.31944],106:[.19444,.69444,0,0,.35139],107:[0,.69444,0,0,.60694],108:[0,.69444,0,0,.31944],109:[0,.44444,0,0,.95833],110:[0,.44444,0,0,.63889],111:[0,.44444,0,0,.575],112:[.19444,.44444,0,0,.63889],113:[.19444,.44444,0,0,.60694],114:[0,.44444,0,0,.47361],115:[0,.44444,0,0,.45361],116:[0,.63492,0,0,.44722],117:[0,.44444,0,0,.63889],118:[0,.44444,.01597,0,.60694],119:[0,.44444,.01597,0,.83055],120:[0,.44444,0,0,.60694],121:[.19444,.44444,.01597,0,.60694],122:[0,.44444,0,0,.51111],123:[.25,.75,0,0,.575],124:[.25,.75,0,0,.31944],125:[.25,.75,0,0,.575],126:[.35,.34444,0,0,.575],160:[0,0,0,0,.25],163:[0,.69444,0,0,.86853],168:[0,.69444,0,0,.575],172:[0,.44444,0,0,.76666],176:[0,.69444,0,0,.86944],177:[.13333,.63333,0,0,.89444],184:[.17014,0,0,0,.51111],198:[0,.68611,0,0,1.04166],215:[.13333,.63333,0,0,.89444],216:[.04861,.73472,0,0,.89444],223:[0,.69444,0,0,.59722],230:[0,.44444,0,0,.83055],247:[.13333,.63333,0,0,.89444],248:[.09722,.54167,0,0,.575],305:[0,.44444,0,0,.31944],338:[0,.68611,0,0,1.16944],339:[0,.44444,0,0,.89444],567:[.19444,.44444,0,0,.35139],710:[0,.69444,0,0,.575],711:[0,.63194,0,0,.575],713:[0,.59611,0,0,.575],714:[0,.69444,0,0,.575],715:[0,.69444,0,0,.575],728:[0,.69444,0,0,.575],729:[0,.69444,0,0,.31944],730:[0,.69444,0,0,.86944],732:[0,.69444,0,0,.575],733:[0,.69444,0,0,.575],915:[0,.68611,0,0,.69166],916:[0,.68611,0,0,.95833],920:[0,.68611,0,0,.89444],923:[0,.68611,0,0,.80555],926:[0,.68611,0,0,.76666],928:[0,.68611,0,0,.9],931:[0,.68611,0,0,.83055],933:[0,.68611,0,0,.89444],934:[0,.68611,0,0,.83055],936:[0,.68611,0,0,.89444],937:[0,.68611,0,0,.83055],8211:[0,.44444,.03194,0,.575],8212:[0,.44444,.03194,0,1.14999],8216:[0,.69444,0,0,.31944],8217:[0,.69444,0,0,.31944],8220:[0,.69444,0,0,.60278],8221:[0,.69444,0,0,.60278],8224:[.19444,.69444,0,0,.51111],8225:[.19444,.69444,0,0,.51111],8242:[0,.55556,0,0,.34444],8407:[0,.72444,.15486,0,.575],8463:[0,.69444,0,0,.66759],8465:[0,.69444,0,0,.83055],8467:[0,.69444,0,0,.47361],8472:[.19444,.44444,0,0,.74027],8476:[0,.69444,0,0,.83055],8501:[0,.69444,0,0,.70277],8592:[-.10889,.39111,0,0,1.14999],8593:[.19444,.69444,0,0,.575],8594:[-.10889,.39111,0,0,1.14999],8595:[.19444,.69444,0,0,.575],8596:[-.10889,.39111,0,0,1.14999],8597:[.25,.75,0,0,.575],8598:[.19444,.69444,0,0,1.14999],8599:[.19444,.69444,0,0,1.14999],8600:[.19444,.69444,0,0,1.14999],8601:[.19444,.69444,0,0,1.14999],8636:[-.10889,.39111,0,0,1.14999],8637:[-.10889,.39111,0,0,1.14999],8640:[-.10889,.39111,0,0,1.14999],8641:[-.10889,.39111,0,0,1.14999],8656:[-.10889,.39111,0,0,1.14999],8657:[.19444,.69444,0,0,.70277],8658:[-.10889,.39111,0,0,1.14999],8659:[.19444,.69444,0,0,.70277],8660:[-.10889,.39111,0,0,1.14999],8661:[.25,.75,0,0,.70277],8704:[0,.69444,0,0,.63889],8706:[0,.69444,.06389,0,.62847],8707:[0,.69444,0,0,.63889],8709:[.05556,.75,0,0,.575],8711:[0,.68611,0,0,.95833],8712:[.08556,.58556,0,0,.76666],8715:[.08556,.58556,0,0,.76666],8722:[.13333,.63333,0,0,.89444],8723:[.13333,.63333,0,0,.89444],8725:[.25,.75,0,0,.575],8726:[.25,.75,0,0,.575],8727:[-.02778,.47222,0,0,.575],8728:[-.02639,.47361,0,0,.575],8729:[-.02639,.47361,0,0,.575],8730:[.18,.82,0,0,.95833],8733:[0,.44444,0,0,.89444],8734:[0,.44444,0,0,1.14999],8736:[0,.69224,0,0,.72222],8739:[.25,.75,0,0,.31944],8741:[.25,.75,0,0,.575],8743:[0,.55556,0,0,.76666],8744:[0,.55556,0,0,.76666],8745:[0,.55556,0,0,.76666],8746:[0,.55556,0,0,.76666],8747:[.19444,.69444,.12778,0,.56875],8764:[-.10889,.39111,0,0,.89444],8768:[.19444,.69444,0,0,.31944],8771:[.00222,.50222,0,0,.89444],8773:[.027,.638,0,0,.894],8776:[.02444,.52444,0,0,.89444],8781:[.00222,.50222,0,0,.89444],8801:[.00222,.50222,0,0,.89444],8804:[.19667,.69667,0,0,.89444],8805:[.19667,.69667,0,0,.89444],8810:[.08556,.58556,0,0,1.14999],8811:[.08556,.58556,0,0,1.14999],8826:[.08556,.58556,0,0,.89444],8827:[.08556,.58556,0,0,.89444],8834:[.08556,.58556,0,0,.89444],8835:[.08556,.58556,0,0,.89444],8838:[.19667,.69667,0,0,.89444],8839:[.19667,.69667,0,0,.89444],8846:[0,.55556,0,0,.76666],8849:[.19667,.69667,0,0,.89444],8850:[.19667,.69667,0,0,.89444],8851:[0,.55556,0,0,.76666],8852:[0,.55556,0,0,.76666],8853:[.13333,.63333,0,0,.89444],8854:[.13333,.63333,0,0,.89444],8855:[.13333,.63333,0,0,.89444],8856:[.13333,.63333,0,0,.89444],8857:[.13333,.63333,0,0,.89444],8866:[0,.69444,0,0,.70277],8867:[0,.69444,0,0,.70277],8868:[0,.69444,0,0,.89444],8869:[0,.69444,0,0,.89444],8900:[-.02639,.47361,0,0,.575],8901:[-.02639,.47361,0,0,.31944],8902:[-.02778,.47222,0,0,.575],8968:[.25,.75,0,0,.51111],8969:[.25,.75,0,0,.51111],8970:[.25,.75,0,0,.51111],8971:[.25,.75,0,0,.51111],8994:[-.13889,.36111,0,0,1.14999],8995:[-.13889,.36111,0,0,1.14999],9651:[.19444,.69444,0,0,1.02222],9657:[-.02778,.47222,0,0,.575],9661:[.19444,.69444,0,0,1.02222],9667:[-.02778,.47222,0,0,.575],9711:[.19444,.69444,0,0,1.14999],9824:[.12963,.69444,0,0,.89444],9825:[.12963,.69444,0,0,.89444],9826:[.12963,.69444,0,0,.89444],9827:[.12963,.69444,0,0,.89444],9837:[0,.75,0,0,.44722],9838:[.19444,.69444,0,0,.44722],9839:[.19444,.69444,0,0,.44722],10216:[.25,.75,0,0,.44722],10217:[.25,.75,0,0,.44722],10815:[0,.68611,0,0,.9],10927:[.19667,.69667,0,0,.89444],10928:[.19667,.69667,0,0,.89444],57376:[.19444,.69444,0,0,0]},"Main-BoldItalic":{32:[0,0,0,0,.25],33:[0,.69444,.11417,0,.38611],34:[0,.69444,.07939,0,.62055],35:[.19444,.69444,.06833,0,.94444],37:[.05556,.75,.12861,0,.94444],38:[0,.69444,.08528,0,.88555],39:[0,.69444,.12945,0,.35555],40:[.25,.75,.15806,0,.47333],41:[.25,.75,.03306,0,.47333],42:[0,.75,.14333,0,.59111],43:[.10333,.60333,.03306,0,.88555],44:[.19444,.14722,0,0,.35555],45:[0,.44444,.02611,0,.41444],46:[0,.14722,0,0,.35555],47:[.25,.75,.15806,0,.59111],48:[0,.64444,.13167,0,.59111],49:[0,.64444,.13167,0,.59111],50:[0,.64444,.13167,0,.59111],51:[0,.64444,.13167,0,.59111],52:[.19444,.64444,.13167,0,.59111],53:[0,.64444,.13167,0,.59111],54:[0,.64444,.13167,0,.59111],55:[.19444,.64444,.13167,0,.59111],56:[0,.64444,.13167,0,.59111],57:[0,.64444,.13167,0,.59111],58:[0,.44444,.06695,0,.35555],59:[.19444,.44444,.06695,0,.35555],61:[-.10889,.39111,.06833,0,.88555],63:[0,.69444,.11472,0,.59111],64:[0,.69444,.09208,0,.88555],65:[0,.68611,0,0,.86555],66:[0,.68611,.0992,0,.81666],67:[0,.68611,.14208,0,.82666],68:[0,.68611,.09062,0,.87555],69:[0,.68611,.11431,0,.75666],70:[0,.68611,.12903,0,.72722],71:[0,.68611,.07347,0,.89527],72:[0,.68611,.17208,0,.8961],73:[0,.68611,.15681,0,.47166],74:[0,.68611,.145,0,.61055],75:[0,.68611,.14208,0,.89499],76:[0,.68611,0,0,.69777],77:[0,.68611,.17208,0,1.07277],78:[0,.68611,.17208,0,.8961],79:[0,.68611,.09062,0,.85499],80:[0,.68611,.0992,0,.78721],81:[.19444,.68611,.09062,0,.85499],82:[0,.68611,.02559,0,.85944],83:[0,.68611,.11264,0,.64999],84:[0,.68611,.12903,0,.7961],85:[0,.68611,.17208,0,.88083],86:[0,.68611,.18625,0,.86555],87:[0,.68611,.18625,0,1.15999],88:[0,.68611,.15681,0,.86555],89:[0,.68611,.19803,0,.86555],90:[0,.68611,.14208,0,.70888],91:[.25,.75,.1875,0,.35611],93:[.25,.75,.09972,0,.35611],94:[0,.69444,.06709,0,.59111],95:[.31,.13444,.09811,0,.59111],97:[0,.44444,.09426,0,.59111],98:[0,.69444,.07861,0,.53222],99:[0,.44444,.05222,0,.53222],100:[0,.69444,.10861,0,.59111],101:[0,.44444,.085,0,.53222],102:[.19444,.69444,.21778,0,.4],103:[.19444,.44444,.105,0,.53222],104:[0,.69444,.09426,0,.59111],105:[0,.69326,.11387,0,.35555],106:[.19444,.69326,.1672,0,.35555],107:[0,.69444,.11111,0,.53222],108:[0,.69444,.10861,0,.29666],109:[0,.44444,.09426,0,.94444],110:[0,.44444,.09426,0,.64999],111:[0,.44444,.07861,0,.59111],112:[.19444,.44444,.07861,0,.59111],113:[.19444,.44444,.105,0,.53222],114:[0,.44444,.11111,0,.50167],115:[0,.44444,.08167,0,.48694],116:[0,.63492,.09639,0,.385],117:[0,.44444,.09426,0,.62055],118:[0,.44444,.11111,0,.53222],119:[0,.44444,.11111,0,.76777],120:[0,.44444,.12583,0,.56055],121:[.19444,.44444,.105,0,.56166],122:[0,.44444,.13889,0,.49055],126:[.35,.34444,.11472,0,.59111],160:[0,0,0,0,.25],168:[0,.69444,.11473,0,.59111],176:[0,.69444,0,0,.94888],184:[.17014,0,0,0,.53222],198:[0,.68611,.11431,0,1.02277],216:[.04861,.73472,.09062,0,.88555],223:[.19444,.69444,.09736,0,.665],230:[0,.44444,.085,0,.82666],248:[.09722,.54167,.09458,0,.59111],305:[0,.44444,.09426,0,.35555],338:[0,.68611,.11431,0,1.14054],339:[0,.44444,.085,0,.82666],567:[.19444,.44444,.04611,0,.385],710:[0,.69444,.06709,0,.59111],711:[0,.63194,.08271,0,.59111],713:[0,.59444,.10444,0,.59111],714:[0,.69444,.08528,0,.59111],715:[0,.69444,0,0,.59111],728:[0,.69444,.10333,0,.59111],729:[0,.69444,.12945,0,.35555],730:[0,.69444,0,0,.94888],732:[0,.69444,.11472,0,.59111],733:[0,.69444,.11472,0,.59111],915:[0,.68611,.12903,0,.69777],916:[0,.68611,0,0,.94444],920:[0,.68611,.09062,0,.88555],923:[0,.68611,0,0,.80666],926:[0,.68611,.15092,0,.76777],928:[0,.68611,.17208,0,.8961],931:[0,.68611,.11431,0,.82666],933:[0,.68611,.10778,0,.88555],934:[0,.68611,.05632,0,.82666],936:[0,.68611,.10778,0,.88555],937:[0,.68611,.0992,0,.82666],8211:[0,.44444,.09811,0,.59111],8212:[0,.44444,.09811,0,1.18221],8216:[0,.69444,.12945,0,.35555],8217:[0,.69444,.12945,0,.35555],8220:[0,.69444,.16772,0,.62055],8221:[0,.69444,.07939,0,.62055]},"Main-Italic":{32:[0,0,0,0,.25],33:[0,.69444,.12417,0,.30667],34:[0,.69444,.06961,0,.51444],35:[.19444,.69444,.06616,0,.81777],37:[.05556,.75,.13639,0,.81777],38:[0,.69444,.09694,0,.76666],39:[0,.69444,.12417,0,.30667],40:[.25,.75,.16194,0,.40889],41:[.25,.75,.03694,0,.40889],42:[0,.75,.14917,0,.51111],43:[.05667,.56167,.03694,0,.76666],44:[.19444,.10556,0,0,.30667],45:[0,.43056,.02826,0,.35778],46:[0,.10556,0,0,.30667],47:[.25,.75,.16194,0,.51111],48:[0,.64444,.13556,0,.51111],49:[0,.64444,.13556,0,.51111],50:[0,.64444,.13556,0,.51111],51:[0,.64444,.13556,0,.51111],52:[.19444,.64444,.13556,0,.51111],53:[0,.64444,.13556,0,.51111],54:[0,.64444,.13556,0,.51111],55:[.19444,.64444,.13556,0,.51111],56:[0,.64444,.13556,0,.51111],57:[0,.64444,.13556,0,.51111],58:[0,.43056,.0582,0,.30667],59:[.19444,.43056,.0582,0,.30667],61:[-.13313,.36687,.06616,0,.76666],63:[0,.69444,.1225,0,.51111],64:[0,.69444,.09597,0,.76666],65:[0,.68333,0,0,.74333],66:[0,.68333,.10257,0,.70389],67:[0,.68333,.14528,0,.71555],68:[0,.68333,.09403,0,.755],69:[0,.68333,.12028,0,.67833],70:[0,.68333,.13305,0,.65277],71:[0,.68333,.08722,0,.77361],72:[0,.68333,.16389,0,.74333],73:[0,.68333,.15806,0,.38555],74:[0,.68333,.14028,0,.525],75:[0,.68333,.14528,0,.76888],76:[0,.68333,0,0,.62722],77:[0,.68333,.16389,0,.89666],78:[0,.68333,.16389,0,.74333],79:[0,.68333,.09403,0,.76666],80:[0,.68333,.10257,0,.67833],81:[.19444,.68333,.09403,0,.76666],82:[0,.68333,.03868,0,.72944],83:[0,.68333,.11972,0,.56222],84:[0,.68333,.13305,0,.71555],85:[0,.68333,.16389,0,.74333],86:[0,.68333,.18361,0,.74333],87:[0,.68333,.18361,0,.99888],88:[0,.68333,.15806,0,.74333],89:[0,.68333,.19383,0,.74333],90:[0,.68333,.14528,0,.61333],91:[.25,.75,.1875,0,.30667],93:[.25,.75,.10528,0,.30667],94:[0,.69444,.06646,0,.51111],95:[.31,.12056,.09208,0,.51111],97:[0,.43056,.07671,0,.51111],98:[0,.69444,.06312,0,.46],99:[0,.43056,.05653,0,.46],100:[0,.69444,.10333,0,.51111],101:[0,.43056,.07514,0,.46],102:[.19444,.69444,.21194,0,.30667],103:[.19444,.43056,.08847,0,.46],104:[0,.69444,.07671,0,.51111],105:[0,.65536,.1019,0,.30667],106:[.19444,.65536,.14467,0,.30667],107:[0,.69444,.10764,0,.46],108:[0,.69444,.10333,0,.25555],109:[0,.43056,.07671,0,.81777],110:[0,.43056,.07671,0,.56222],111:[0,.43056,.06312,0,.51111],112:[.19444,.43056,.06312,0,.51111],113:[.19444,.43056,.08847,0,.46],114:[0,.43056,.10764,0,.42166],115:[0,.43056,.08208,0,.40889],116:[0,.61508,.09486,0,.33222],117:[0,.43056,.07671,0,.53666],118:[0,.43056,.10764,0,.46],119:[0,.43056,.10764,0,.66444],120:[0,.43056,.12042,0,.46389],121:[.19444,.43056,.08847,0,.48555],122:[0,.43056,.12292,0,.40889],126:[.35,.31786,.11585,0,.51111],160:[0,0,0,0,.25],168:[0,.66786,.10474,0,.51111],176:[0,.69444,0,0,.83129],184:[.17014,0,0,0,.46],198:[0,.68333,.12028,0,.88277],216:[.04861,.73194,.09403,0,.76666],223:[.19444,.69444,.10514,0,.53666],230:[0,.43056,.07514,0,.71555],248:[.09722,.52778,.09194,0,.51111],338:[0,.68333,.12028,0,.98499],339:[0,.43056,.07514,0,.71555],710:[0,.69444,.06646,0,.51111],711:[0,.62847,.08295,0,.51111],713:[0,.56167,.10333,0,.51111],714:[0,.69444,.09694,0,.51111],715:[0,.69444,0,0,.51111],728:[0,.69444,.10806,0,.51111],729:[0,.66786,.11752,0,.30667],730:[0,.69444,0,0,.83129],732:[0,.66786,.11585,0,.51111],733:[0,.69444,.1225,0,.51111],915:[0,.68333,.13305,0,.62722],916:[0,.68333,0,0,.81777],920:[0,.68333,.09403,0,.76666],923:[0,.68333,0,0,.69222],926:[0,.68333,.15294,0,.66444],928:[0,.68333,.16389,0,.74333],931:[0,.68333,.12028,0,.71555],933:[0,.68333,.11111,0,.76666],934:[0,.68333,.05986,0,.71555],936:[0,.68333,.11111,0,.76666],937:[0,.68333,.10257,0,.71555],8211:[0,.43056,.09208,0,.51111],8212:[0,.43056,.09208,0,1.02222],8216:[0,.69444,.12417,0,.30667],8217:[0,.69444,.12417,0,.30667],8220:[0,.69444,.1685,0,.51444],8221:[0,.69444,.06961,0,.51444],8463:[0,.68889,0,0,.54028]},"Main-Regular":{32:[0,0,0,0,.25],33:[0,.69444,0,0,.27778],34:[0,.69444,0,0,.5],35:[.19444,.69444,0,0,.83334],36:[.05556,.75,0,0,.5],37:[.05556,.75,0,0,.83334],38:[0,.69444,0,0,.77778],39:[0,.69444,0,0,.27778],40:[.25,.75,0,0,.38889],41:[.25,.75,0,0,.38889],42:[0,.75,0,0,.5],43:[.08333,.58333,0,0,.77778],44:[.19444,.10556,0,0,.27778],45:[0,.43056,0,0,.33333],46:[0,.10556,0,0,.27778],47:[.25,.75,0,0,.5],48:[0,.64444,0,0,.5],49:[0,.64444,0,0,.5],50:[0,.64444,0,0,.5],51:[0,.64444,0,0,.5],52:[0,.64444,0,0,.5],53:[0,.64444,0,0,.5],54:[0,.64444,0,0,.5],55:[0,.64444,0,0,.5],56:[0,.64444,0,0,.5],57:[0,.64444,0,0,.5],58:[0,.43056,0,0,.27778],59:[.19444,.43056,0,0,.27778],60:[.0391,.5391,0,0,.77778],61:[-.13313,.36687,0,0,.77778],62:[.0391,.5391,0,0,.77778],63:[0,.69444,0,0,.47222],64:[0,.69444,0,0,.77778],65:[0,.68333,0,0,.75],66:[0,.68333,0,0,.70834],67:[0,.68333,0,0,.72222],68:[0,.68333,0,0,.76389],69:[0,.68333,0,0,.68056],70:[0,.68333,0,0,.65278],71:[0,.68333,0,0,.78472],72:[0,.68333,0,0,.75],73:[0,.68333,0,0,.36111],74:[0,.68333,0,0,.51389],75:[0,.68333,0,0,.77778],76:[0,.68333,0,0,.625],77:[0,.68333,0,0,.91667],78:[0,.68333,0,0,.75],79:[0,.68333,0,0,.77778],80:[0,.68333,0,0,.68056],81:[.19444,.68333,0,0,.77778],82:[0,.68333,0,0,.73611],83:[0,.68333,0,0,.55556],84:[0,.68333,0,0,.72222],85:[0,.68333,0,0,.75],86:[0,.68333,.01389,0,.75],87:[0,.68333,.01389,0,1.02778],88:[0,.68333,0,0,.75],89:[0,.68333,.025,0,.75],90:[0,.68333,0,0,.61111],91:[.25,.75,0,0,.27778],92:[.25,.75,0,0,.5],93:[.25,.75,0,0,.27778],94:[0,.69444,0,0,.5],95:[.31,.12056,.02778,0,.5],97:[0,.43056,0,0,.5],98:[0,.69444,0,0,.55556],99:[0,.43056,0,0,.44445],100:[0,.69444,0,0,.55556],101:[0,.43056,0,0,.44445],102:[0,.69444,.07778,0,.30556],103:[.19444,.43056,.01389,0,.5],104:[0,.69444,0,0,.55556],105:[0,.66786,0,0,.27778],106:[.19444,.66786,0,0,.30556],107:[0,.69444,0,0,.52778],108:[0,.69444,0,0,.27778],109:[0,.43056,0,0,.83334],110:[0,.43056,0,0,.55556],111:[0,.43056,0,0,.5],112:[.19444,.43056,0,0,.55556],113:[.19444,.43056,0,0,.52778],114:[0,.43056,0,0,.39167],115:[0,.43056,0,0,.39445],116:[0,.61508,0,0,.38889],117:[0,.43056,0,0,.55556],118:[0,.43056,.01389,0,.52778],119:[0,.43056,.01389,0,.72222],120:[0,.43056,0,0,.52778],121:[.19444,.43056,.01389,0,.52778],122:[0,.43056,0,0,.44445],123:[.25,.75,0,0,.5],124:[.25,.75,0,0,.27778],125:[.25,.75,0,0,.5],126:[.35,.31786,0,0,.5],160:[0,0,0,0,.25],163:[0,.69444,0,0,.76909],167:[.19444,.69444,0,0,.44445],168:[0,.66786,0,0,.5],172:[0,.43056,0,0,.66667],176:[0,.69444,0,0,.75],177:[.08333,.58333,0,0,.77778],182:[.19444,.69444,0,0,.61111],184:[.17014,0,0,0,.44445],198:[0,.68333,0,0,.90278],215:[.08333,.58333,0,0,.77778],216:[.04861,.73194,0,0,.77778],223:[0,.69444,0,0,.5],230:[0,.43056,0,0,.72222],247:[.08333,.58333,0,0,.77778],248:[.09722,.52778,0,0,.5],305:[0,.43056,0,0,.27778],338:[0,.68333,0,0,1.01389],339:[0,.43056,0,0,.77778],567:[.19444,.43056,0,0,.30556],710:[0,.69444,0,0,.5],711:[0,.62847,0,0,.5],713:[0,.56778,0,0,.5],714:[0,.69444,0,0,.5],715:[0,.69444,0,0,.5],728:[0,.69444,0,0,.5],729:[0,.66786,0,0,.27778],730:[0,.69444,0,0,.75],732:[0,.66786,0,0,.5],733:[0,.69444,0,0,.5],915:[0,.68333,0,0,.625],916:[0,.68333,0,0,.83334],920:[0,.68333,0,0,.77778],923:[0,.68333,0,0,.69445],926:[0,.68333,0,0,.66667],928:[0,.68333,0,0,.75],931:[0,.68333,0,0,.72222],933:[0,.68333,0,0,.77778],934:[0,.68333,0,0,.72222],936:[0,.68333,0,0,.77778],937:[0,.68333,0,0,.72222],8211:[0,.43056,.02778,0,.5],8212:[0,.43056,.02778,0,1],8216:[0,.69444,0,0,.27778],8217:[0,.69444,0,0,.27778],8220:[0,.69444,0,0,.5],8221:[0,.69444,0,0,.5],8224:[.19444,.69444,0,0,.44445],8225:[.19444,.69444,0,0,.44445],8230:[0,.123,0,0,1.172],8242:[0,.55556,0,0,.275],8407:[0,.71444,.15382,0,.5],8463:[0,.68889,0,0,.54028],8465:[0,.69444,0,0,.72222],8467:[0,.69444,0,.11111,.41667],8472:[.19444,.43056,0,.11111,.63646],8476:[0,.69444,0,0,.72222],8501:[0,.69444,0,0,.61111],8592:[-.13313,.36687,0,0,1],8593:[.19444,.69444,0,0,.5],8594:[-.13313,.36687,0,0,1],8595:[.19444,.69444,0,0,.5],8596:[-.13313,.36687,0,0,1],8597:[.25,.75,0,0,.5],8598:[.19444,.69444,0,0,1],8599:[.19444,.69444,0,0,1],8600:[.19444,.69444,0,0,1],8601:[.19444,.69444,0,0,1],8614:[.011,.511,0,0,1],8617:[.011,.511,0,0,1.126],8618:[.011,.511,0,0,1.126],8636:[-.13313,.36687,0,0,1],8637:[-.13313,.36687,0,0,1],8640:[-.13313,.36687,0,0,1],8641:[-.13313,.36687,0,0,1],8652:[.011,.671,0,0,1],8656:[-.13313,.36687,0,0,1],8657:[.19444,.69444,0,0,.61111],8658:[-.13313,.36687,0,0,1],8659:[.19444,.69444,0,0,.61111],8660:[-.13313,.36687,0,0,1],8661:[.25,.75,0,0,.61111],8704:[0,.69444,0,0,.55556],8706:[0,.69444,.05556,.08334,.5309],8707:[0,.69444,0,0,.55556],8709:[.05556,.75,0,0,.5],8711:[0,.68333,0,0,.83334],8712:[.0391,.5391,0,0,.66667],8715:[.0391,.5391,0,0,.66667],8722:[.08333,.58333,0,0,.77778],8723:[.08333,.58333,0,0,.77778],8725:[.25,.75,0,0,.5],8726:[.25,.75,0,0,.5],8727:[-.03472,.46528,0,0,.5],8728:[-.05555,.44445,0,0,.5],8729:[-.05555,.44445,0,0,.5],8730:[.2,.8,0,0,.83334],8733:[0,.43056,0,0,.77778],8734:[0,.43056,0,0,1],8736:[0,.69224,0,0,.72222],8739:[.25,.75,0,0,.27778],8741:[.25,.75,0,0,.5],8743:[0,.55556,0,0,.66667],8744:[0,.55556,0,0,.66667],8745:[0,.55556,0,0,.66667],8746:[0,.55556,0,0,.66667],8747:[.19444,.69444,.11111,0,.41667],8764:[-.13313,.36687,0,0,.77778],8768:[.19444,.69444,0,0,.27778],8771:[-.03625,.46375,0,0,.77778],8773:[-.022,.589,0,0,.778],8776:[-.01688,.48312,0,0,.77778],8781:[-.03625,.46375,0,0,.77778],8784:[-.133,.673,0,0,.778],8801:[-.03625,.46375,0,0,.77778],8804:[.13597,.63597,0,0,.77778],8805:[.13597,.63597,0,0,.77778],8810:[.0391,.5391,0,0,1],8811:[.0391,.5391,0,0,1],8826:[.0391,.5391,0,0,.77778],8827:[.0391,.5391,0,0,.77778],8834:[.0391,.5391,0,0,.77778],8835:[.0391,.5391,0,0,.77778],8838:[.13597,.63597,0,0,.77778],8839:[.13597,.63597,0,0,.77778],8846:[0,.55556,0,0,.66667],8849:[.13597,.63597,0,0,.77778],8850:[.13597,.63597,0,0,.77778],8851:[0,.55556,0,0,.66667],8852:[0,.55556,0,0,.66667],8853:[.08333,.58333,0,0,.77778],8854:[.08333,.58333,0,0,.77778],8855:[.08333,.58333,0,0,.77778],8856:[.08333,.58333,0,0,.77778],8857:[.08333,.58333,0,0,.77778],8866:[0,.69444,0,0,.61111],8867:[0,.69444,0,0,.61111],8868:[0,.69444,0,0,.77778],8869:[0,.69444,0,0,.77778],8872:[.249,.75,0,0,.867],8900:[-.05555,.44445,0,0,.5],8901:[-.05555,.44445,0,0,.27778],8902:[-.03472,.46528,0,0,.5],8904:[.005,.505,0,0,.9],8942:[.03,.903,0,0,.278],8943:[-.19,.313,0,0,1.172],8945:[-.1,.823,0,0,1.282],8968:[.25,.75,0,0,.44445],8969:[.25,.75,0,0,.44445],8970:[.25,.75,0,0,.44445],8971:[.25,.75,0,0,.44445],8994:[-.14236,.35764,0,0,1],8995:[-.14236,.35764,0,0,1],9136:[.244,.744,0,0,.412],9137:[.244,.745,0,0,.412],9651:[.19444,.69444,0,0,.88889],9657:[-.03472,.46528,0,0,.5],9661:[.19444,.69444,0,0,.88889],9667:[-.03472,.46528,0,0,.5],9711:[.19444,.69444,0,0,1],9824:[.12963,.69444,0,0,.77778],9825:[.12963,.69444,0,0,.77778],9826:[.12963,.69444,0,0,.77778],9827:[.12963,.69444,0,0,.77778],9837:[0,.75,0,0,.38889],9838:[.19444,.69444,0,0,.38889],9839:[.19444,.69444,0,0,.38889],10216:[.25,.75,0,0,.38889],10217:[.25,.75,0,0,.38889],10222:[.244,.744,0,0,.412],10223:[.244,.745,0,0,.412],10229:[.011,.511,0,0,1.609],10230:[.011,.511,0,0,1.638],10231:[.011,.511,0,0,1.859],10232:[.024,.525,0,0,1.609],10233:[.024,.525,0,0,1.638],10234:[.024,.525,0,0,1.858],10236:[.011,.511,0,0,1.638],10815:[0,.68333,0,0,.75],10927:[.13597,.63597,0,0,.77778],10928:[.13597,.63597,0,0,.77778],57376:[.19444,.69444,0,0,0]},"Math-BoldItalic":{32:[0,0,0,0,.25],48:[0,.44444,0,0,.575],49:[0,.44444,0,0,.575],50:[0,.44444,0,0,.575],51:[.19444,.44444,0,0,.575],52:[.19444,.44444,0,0,.575],53:[.19444,.44444,0,0,.575],54:[0,.64444,0,0,.575],55:[.19444,.44444,0,0,.575],56:[0,.64444,0,0,.575],57:[.19444,.44444,0,0,.575],65:[0,.68611,0,0,.86944],66:[0,.68611,.04835,0,.8664],67:[0,.68611,.06979,0,.81694],68:[0,.68611,.03194,0,.93812],69:[0,.68611,.05451,0,.81007],70:[0,.68611,.15972,0,.68889],71:[0,.68611,0,0,.88673],72:[0,.68611,.08229,0,.98229],73:[0,.68611,.07778,0,.51111],74:[0,.68611,.10069,0,.63125],75:[0,.68611,.06979,0,.97118],76:[0,.68611,0,0,.75555],77:[0,.68611,.11424,0,1.14201],78:[0,.68611,.11424,0,.95034],79:[0,.68611,.03194,0,.83666],80:[0,.68611,.15972,0,.72309],81:[.19444,.68611,0,0,.86861],82:[0,.68611,.00421,0,.87235],83:[0,.68611,.05382,0,.69271],84:[0,.68611,.15972,0,.63663],85:[0,.68611,.11424,0,.80027],86:[0,.68611,.25555,0,.67778],87:[0,.68611,.15972,0,1.09305],88:[0,.68611,.07778,0,.94722],89:[0,.68611,.25555,0,.67458],90:[0,.68611,.06979,0,.77257],97:[0,.44444,0,0,.63287],98:[0,.69444,0,0,.52083],99:[0,.44444,0,0,.51342],100:[0,.69444,0,0,.60972],101:[0,.44444,0,0,.55361],102:[.19444,.69444,.11042,0,.56806],103:[.19444,.44444,.03704,0,.5449],104:[0,.69444,0,0,.66759],105:[0,.69326,0,0,.4048],106:[.19444,.69326,.0622,0,.47083],107:[0,.69444,.01852,0,.6037],108:[0,.69444,.0088,0,.34815],109:[0,.44444,0,0,1.0324],110:[0,.44444,0,0,.71296],111:[0,.44444,0,0,.58472],112:[.19444,.44444,0,0,.60092],113:[.19444,.44444,.03704,0,.54213],114:[0,.44444,.03194,0,.5287],115:[0,.44444,0,0,.53125],116:[0,.63492,0,0,.41528],117:[0,.44444,0,0,.68102],118:[0,.44444,.03704,0,.56666],119:[0,.44444,.02778,0,.83148],120:[0,.44444,0,0,.65903],121:[.19444,.44444,.03704,0,.59028],122:[0,.44444,.04213,0,.55509],160:[0,0,0,0,.25],915:[0,.68611,.15972,0,.65694],916:[0,.68611,0,0,.95833],920:[0,.68611,.03194,0,.86722],923:[0,.68611,0,0,.80555],926:[0,.68611,.07458,0,.84125],928:[0,.68611,.08229,0,.98229],931:[0,.68611,.05451,0,.88507],933:[0,.68611,.15972,0,.67083],934:[0,.68611,0,0,.76666],936:[0,.68611,.11653,0,.71402],937:[0,.68611,.04835,0,.8789],945:[0,.44444,0,0,.76064],946:[.19444,.69444,.03403,0,.65972],947:[.19444,.44444,.06389,0,.59003],948:[0,.69444,.03819,0,.52222],949:[0,.44444,0,0,.52882],950:[.19444,.69444,.06215,0,.50833],951:[.19444,.44444,.03704,0,.6],952:[0,.69444,.03194,0,.5618],953:[0,.44444,0,0,.41204],954:[0,.44444,0,0,.66759],955:[0,.69444,0,0,.67083],956:[.19444,.44444,0,0,.70787],957:[0,.44444,.06898,0,.57685],958:[.19444,.69444,.03021,0,.50833],959:[0,.44444,0,0,.58472],960:[0,.44444,.03704,0,.68241],961:[.19444,.44444,0,0,.6118],962:[.09722,.44444,.07917,0,.42361],963:[0,.44444,.03704,0,.68588],964:[0,.44444,.13472,0,.52083],965:[0,.44444,.03704,0,.63055],966:[.19444,.44444,0,0,.74722],967:[.19444,.44444,0,0,.71805],968:[.19444,.69444,.03704,0,.75833],969:[0,.44444,.03704,0,.71782],977:[0,.69444,0,0,.69155],981:[.19444,.69444,0,0,.7125],982:[0,.44444,.03194,0,.975],1009:[.19444,.44444,0,0,.6118],1013:[0,.44444,0,0,.48333],57649:[0,.44444,0,0,.39352],57911:[.19444,.44444,0,0,.43889]},"Math-Italic":{32:[0,0,0,0,.25],48:[0,.43056,0,0,.5],49:[0,.43056,0,0,.5],50:[0,.43056,0,0,.5],51:[.19444,.43056,0,0,.5],52:[.19444,.43056,0,0,.5],53:[.19444,.43056,0,0,.5],54:[0,.64444,0,0,.5],55:[.19444,.43056,0,0,.5],56:[0,.64444,0,0,.5],57:[.19444,.43056,0,0,.5],65:[0,.68333,0,.13889,.75],66:[0,.68333,.05017,.08334,.75851],67:[0,.68333,.07153,.08334,.71472],68:[0,.68333,.02778,.05556,.82792],69:[0,.68333,.05764,.08334,.7382],70:[0,.68333,.13889,.08334,.64306],71:[0,.68333,0,.08334,.78625],72:[0,.68333,.08125,.05556,.83125],73:[0,.68333,.07847,.11111,.43958],74:[0,.68333,.09618,.16667,.55451],75:[0,.68333,.07153,.05556,.84931],76:[0,.68333,0,.02778,.68056],77:[0,.68333,.10903,.08334,.97014],78:[0,.68333,.10903,.08334,.80347],79:[0,.68333,.02778,.08334,.76278],80:[0,.68333,.13889,.08334,.64201],81:[.19444,.68333,0,.08334,.79056],82:[0,.68333,.00773,.08334,.75929],83:[0,.68333,.05764,.08334,.6132],84:[0,.68333,.13889,.08334,.58438],85:[0,.68333,.10903,.02778,.68278],86:[0,.68333,.22222,0,.58333],87:[0,.68333,.13889,0,.94445],88:[0,.68333,.07847,.08334,.82847],89:[0,.68333,.22222,0,.58056],90:[0,.68333,.07153,.08334,.68264],97:[0,.43056,0,0,.52859],98:[0,.69444,0,0,.42917],99:[0,.43056,0,.05556,.43276],100:[0,.69444,0,.16667,.52049],101:[0,.43056,0,.05556,.46563],102:[.19444,.69444,.10764,.16667,.48959],103:[.19444,.43056,.03588,.02778,.47697],104:[0,.69444,0,0,.57616],105:[0,.65952,0,0,.34451],106:[.19444,.65952,.05724,0,.41181],107:[0,.69444,.03148,0,.5206],108:[0,.69444,.01968,.08334,.29838],109:[0,.43056,0,0,.87801],110:[0,.43056,0,0,.60023],111:[0,.43056,0,.05556,.48472],112:[.19444,.43056,0,.08334,.50313],113:[.19444,.43056,.03588,.08334,.44641],114:[0,.43056,.02778,.05556,.45116],115:[0,.43056,0,.05556,.46875],116:[0,.61508,0,.08334,.36111],117:[0,.43056,0,.02778,.57246],118:[0,.43056,.03588,.02778,.48472],119:[0,.43056,.02691,.08334,.71592],120:[0,.43056,0,.02778,.57153],121:[.19444,.43056,.03588,.05556,.49028],122:[0,.43056,.04398,.05556,.46505],160:[0,0,0,0,.25],915:[0,.68333,.13889,.08334,.61528],916:[0,.68333,0,.16667,.83334],920:[0,.68333,.02778,.08334,.76278],923:[0,.68333,0,.16667,.69445],926:[0,.68333,.07569,.08334,.74236],928:[0,.68333,.08125,.05556,.83125],931:[0,.68333,.05764,.08334,.77986],933:[0,.68333,.13889,.05556,.58333],934:[0,.68333,0,.08334,.66667],936:[0,.68333,.11,.05556,.61222],937:[0,.68333,.05017,.08334,.7724],945:[0,.43056,.0037,.02778,.6397],946:[.19444,.69444,.05278,.08334,.56563],947:[.19444,.43056,.05556,0,.51773],948:[0,.69444,.03785,.05556,.44444],949:[0,.43056,0,.08334,.46632],950:[.19444,.69444,.07378,.08334,.4375],951:[.19444,.43056,.03588,.05556,.49653],952:[0,.69444,.02778,.08334,.46944],953:[0,.43056,0,.05556,.35394],954:[0,.43056,0,0,.57616],955:[0,.69444,0,0,.58334],956:[.19444,.43056,0,.02778,.60255],957:[0,.43056,.06366,.02778,.49398],958:[.19444,.69444,.04601,.11111,.4375],959:[0,.43056,0,.05556,.48472],960:[0,.43056,.03588,0,.57003],961:[.19444,.43056,0,.08334,.51702],962:[.09722,.43056,.07986,.08334,.36285],963:[0,.43056,.03588,0,.57141],964:[0,.43056,.1132,.02778,.43715],965:[0,.43056,.03588,.02778,.54028],966:[.19444,.43056,0,.08334,.65417],967:[.19444,.43056,0,.05556,.62569],968:[.19444,.69444,.03588,.11111,.65139],969:[0,.43056,.03588,0,.62245],977:[0,.69444,0,.08334,.59144],981:[.19444,.69444,0,.08334,.59583],982:[0,.43056,.02778,0,.82813],1009:[.19444,.43056,0,.08334,.51702],1013:[0,.43056,0,.05556,.4059],57649:[0,.43056,0,.02778,.32246],57911:[.19444,.43056,0,.08334,.38403]},"SansSerif-Bold":{32:[0,0,0,0,.25],33:[0,.69444,0,0,.36667],34:[0,.69444,0,0,.55834],35:[.19444,.69444,0,0,.91667],36:[.05556,.75,0,0,.55],37:[.05556,.75,0,0,1.02912],38:[0,.69444,0,0,.83056],39:[0,.69444,0,0,.30556],40:[.25,.75,0,0,.42778],41:[.25,.75,0,0,.42778],42:[0,.75,0,0,.55],43:[.11667,.61667,0,0,.85556],44:[.10556,.13056,0,0,.30556],45:[0,.45833,0,0,.36667],46:[0,.13056,0,0,.30556],47:[.25,.75,0,0,.55],48:[0,.69444,0,0,.55],49:[0,.69444,0,0,.55],50:[0,.69444,0,0,.55],51:[0,.69444,0,0,.55],52:[0,.69444,0,0,.55],53:[0,.69444,0,0,.55],54:[0,.69444,0,0,.55],55:[0,.69444,0,0,.55],56:[0,.69444,0,0,.55],57:[0,.69444,0,0,.55],58:[0,.45833,0,0,.30556],59:[.10556,.45833,0,0,.30556],61:[-.09375,.40625,0,0,.85556],63:[0,.69444,0,0,.51945],64:[0,.69444,0,0,.73334],65:[0,.69444,0,0,.73334],66:[0,.69444,0,0,.73334],67:[0,.69444,0,0,.70278],68:[0,.69444,0,0,.79445],69:[0,.69444,0,0,.64167],70:[0,.69444,0,0,.61111],71:[0,.69444,0,0,.73334],72:[0,.69444,0,0,.79445],73:[0,.69444,0,0,.33056],74:[0,.69444,0,0,.51945],75:[0,.69444,0,0,.76389],76:[0,.69444,0,0,.58056],77:[0,.69444,0,0,.97778],78:[0,.69444,0,0,.79445],79:[0,.69444,0,0,.79445],80:[0,.69444,0,0,.70278],81:[.10556,.69444,0,0,.79445],82:[0,.69444,0,0,.70278],83:[0,.69444,0,0,.61111],84:[0,.69444,0,0,.73334],85:[0,.69444,0,0,.76389],86:[0,.69444,.01528,0,.73334],87:[0,.69444,.01528,0,1.03889],88:[0,.69444,0,0,.73334],89:[0,.69444,.0275,0,.73334],90:[0,.69444,0,0,.67223],91:[.25,.75,0,0,.34306],93:[.25,.75,0,0,.34306],94:[0,.69444,0,0,.55],95:[.35,.10833,.03056,0,.55],97:[0,.45833,0,0,.525],98:[0,.69444,0,0,.56111],99:[0,.45833,0,0,.48889],100:[0,.69444,0,0,.56111],101:[0,.45833,0,0,.51111],102:[0,.69444,.07639,0,.33611],103:[.19444,.45833,.01528,0,.55],104:[0,.69444,0,0,.56111],105:[0,.69444,0,0,.25556],106:[.19444,.69444,0,0,.28611],107:[0,.69444,0,0,.53056],108:[0,.69444,0,0,.25556],109:[0,.45833,0,0,.86667],110:[0,.45833,0,0,.56111],111:[0,.45833,0,0,.55],112:[.19444,.45833,0,0,.56111],113:[.19444,.45833,0,0,.56111],114:[0,.45833,.01528,0,.37222],115:[0,.45833,0,0,.42167],116:[0,.58929,0,0,.40417],117:[0,.45833,0,0,.56111],118:[0,.45833,.01528,0,.5],119:[0,.45833,.01528,0,.74445],120:[0,.45833,0,0,.5],121:[.19444,.45833,.01528,0,.5],122:[0,.45833,0,0,.47639],126:[.35,.34444,0,0,.55],160:[0,0,0,0,.25],168:[0,.69444,0,0,.55],176:[0,.69444,0,0,.73334],180:[0,.69444,0,0,.55],184:[.17014,0,0,0,.48889],305:[0,.45833,0,0,.25556],567:[.19444,.45833,0,0,.28611],710:[0,.69444,0,0,.55],711:[0,.63542,0,0,.55],713:[0,.63778,0,0,.55],728:[0,.69444,0,0,.55],729:[0,.69444,0,0,.30556],730:[0,.69444,0,0,.73334],732:[0,.69444,0,0,.55],733:[0,.69444,0,0,.55],915:[0,.69444,0,0,.58056],916:[0,.69444,0,0,.91667],920:[0,.69444,0,0,.85556],923:[0,.69444,0,0,.67223],926:[0,.69444,0,0,.73334],928:[0,.69444,0,0,.79445],931:[0,.69444,0,0,.79445],933:[0,.69444,0,0,.85556],934:[0,.69444,0,0,.79445],936:[0,.69444,0,0,.85556],937:[0,.69444,0,0,.79445],8211:[0,.45833,.03056,0,.55],8212:[0,.45833,.03056,0,1.10001],8216:[0,.69444,0,0,.30556],8217:[0,.69444,0,0,.30556],8220:[0,.69444,0,0,.55834],8221:[0,.69444,0,0,.55834]},"SansSerif-Italic":{32:[0,0,0,0,.25],33:[0,.69444,.05733,0,.31945],34:[0,.69444,.00316,0,.5],35:[.19444,.69444,.05087,0,.83334],36:[.05556,.75,.11156,0,.5],37:[.05556,.75,.03126,0,.83334],38:[0,.69444,.03058,0,.75834],39:[0,.69444,.07816,0,.27778],40:[.25,.75,.13164,0,.38889],41:[.25,.75,.02536,0,.38889],42:[0,.75,.11775,0,.5],43:[.08333,.58333,.02536,0,.77778],44:[.125,.08333,0,0,.27778],45:[0,.44444,.01946,0,.33333],46:[0,.08333,0,0,.27778],47:[.25,.75,.13164,0,.5],48:[0,.65556,.11156,0,.5],49:[0,.65556,.11156,0,.5],50:[0,.65556,.11156,0,.5],51:[0,.65556,.11156,0,.5],52:[0,.65556,.11156,0,.5],53:[0,.65556,.11156,0,.5],54:[0,.65556,.11156,0,.5],55:[0,.65556,.11156,0,.5],56:[0,.65556,.11156,0,.5],57:[0,.65556,.11156,0,.5],58:[0,.44444,.02502,0,.27778],59:[.125,.44444,.02502,0,.27778],61:[-.13,.37,.05087,0,.77778],63:[0,.69444,.11809,0,.47222],64:[0,.69444,.07555,0,.66667],65:[0,.69444,0,0,.66667],66:[0,.69444,.08293,0,.66667],67:[0,.69444,.11983,0,.63889],68:[0,.69444,.07555,0,.72223],69:[0,.69444,.11983,0,.59722],70:[0,.69444,.13372,0,.56945],71:[0,.69444,.11983,0,.66667],72:[0,.69444,.08094,0,.70834],73:[0,.69444,.13372,0,.27778],74:[0,.69444,.08094,0,.47222],75:[0,.69444,.11983,0,.69445],76:[0,.69444,0,0,.54167],77:[0,.69444,.08094,0,.875],78:[0,.69444,.08094,0,.70834],79:[0,.69444,.07555,0,.73611],80:[0,.69444,.08293,0,.63889],81:[.125,.69444,.07555,0,.73611],82:[0,.69444,.08293,0,.64584],83:[0,.69444,.09205,0,.55556],84:[0,.69444,.13372,0,.68056],85:[0,.69444,.08094,0,.6875],86:[0,.69444,.1615,0,.66667],87:[0,.69444,.1615,0,.94445],88:[0,.69444,.13372,0,.66667],89:[0,.69444,.17261,0,.66667],90:[0,.69444,.11983,0,.61111],91:[.25,.75,.15942,0,.28889],93:[.25,.75,.08719,0,.28889],94:[0,.69444,.0799,0,.5],95:[.35,.09444,.08616,0,.5],97:[0,.44444,.00981,0,.48056],98:[0,.69444,.03057,0,.51667],99:[0,.44444,.08336,0,.44445],100:[0,.69444,.09483,0,.51667],101:[0,.44444,.06778,0,.44445],102:[0,.69444,.21705,0,.30556],103:[.19444,.44444,.10836,0,.5],104:[0,.69444,.01778,0,.51667],105:[0,.67937,.09718,0,.23889],106:[.19444,.67937,.09162,0,.26667],107:[0,.69444,.08336,0,.48889],108:[0,.69444,.09483,0,.23889],109:[0,.44444,.01778,0,.79445],110:[0,.44444,.01778,0,.51667],111:[0,.44444,.06613,0,.5],112:[.19444,.44444,.0389,0,.51667],113:[.19444,.44444,.04169,0,.51667],114:[0,.44444,.10836,0,.34167],115:[0,.44444,.0778,0,.38333],116:[0,.57143,.07225,0,.36111],117:[0,.44444,.04169,0,.51667],118:[0,.44444,.10836,0,.46111],119:[0,.44444,.10836,0,.68334],120:[0,.44444,.09169,0,.46111],121:[.19444,.44444,.10836,0,.46111],122:[0,.44444,.08752,0,.43472],126:[.35,.32659,.08826,0,.5],160:[0,0,0,0,.25],168:[0,.67937,.06385,0,.5],176:[0,.69444,0,0,.73752],184:[.17014,0,0,0,.44445],305:[0,.44444,.04169,0,.23889],567:[.19444,.44444,.04169,0,.26667],710:[0,.69444,.0799,0,.5],711:[0,.63194,.08432,0,.5],713:[0,.60889,.08776,0,.5],714:[0,.69444,.09205,0,.5],715:[0,.69444,0,0,.5],728:[0,.69444,.09483,0,.5],729:[0,.67937,.07774,0,.27778],730:[0,.69444,0,0,.73752],732:[0,.67659,.08826,0,.5],733:[0,.69444,.09205,0,.5],915:[0,.69444,.13372,0,.54167],916:[0,.69444,0,0,.83334],920:[0,.69444,.07555,0,.77778],923:[0,.69444,0,0,.61111],926:[0,.69444,.12816,0,.66667],928:[0,.69444,.08094,0,.70834],931:[0,.69444,.11983,0,.72222],933:[0,.69444,.09031,0,.77778],934:[0,.69444,.04603,0,.72222],936:[0,.69444,.09031,0,.77778],937:[0,.69444,.08293,0,.72222],8211:[0,.44444,.08616,0,.5],8212:[0,.44444,.08616,0,1],8216:[0,.69444,.07816,0,.27778],8217:[0,.69444,.07816,0,.27778],8220:[0,.69444,.14205,0,.5],8221:[0,.69444,.00316,0,.5]},"SansSerif-Regular":{32:[0,0,0,0,.25],33:[0,.69444,0,0,.31945],34:[0,.69444,0,0,.5],35:[.19444,.69444,0,0,.83334],36:[.05556,.75,0,0,.5],37:[.05556,.75,0,0,.83334],38:[0,.69444,0,0,.75834],39:[0,.69444,0,0,.27778],40:[.25,.75,0,0,.38889],41:[.25,.75,0,0,.38889],42:[0,.75,0,0,.5],43:[.08333,.58333,0,0,.77778],44:[.125,.08333,0,0,.27778],45:[0,.44444,0,0,.33333],46:[0,.08333,0,0,.27778],47:[.25,.75,0,0,.5],48:[0,.65556,0,0,.5],49:[0,.65556,0,0,.5],50:[0,.65556,0,0,.5],51:[0,.65556,0,0,.5],52:[0,.65556,0,0,.5],53:[0,.65556,0,0,.5],54:[0,.65556,0,0,.5],55:[0,.65556,0,0,.5],56:[0,.65556,0,0,.5],57:[0,.65556,0,0,.5],58:[0,.44444,0,0,.27778],59:[.125,.44444,0,0,.27778],61:[-.13,.37,0,0,.77778],63:[0,.69444,0,0,.47222],64:[0,.69444,0,0,.66667],65:[0,.69444,0,0,.66667],66:[0,.69444,0,0,.66667],67:[0,.69444,0,0,.63889],68:[0,.69444,0,0,.72223],69:[0,.69444,0,0,.59722],70:[0,.69444,0,0,.56945],71:[0,.69444,0,0,.66667],72:[0,.69444,0,0,.70834],73:[0,.69444,0,0,.27778],74:[0,.69444,0,0,.47222],75:[0,.69444,0,0,.69445],76:[0,.69444,0,0,.54167],77:[0,.69444,0,0,.875],78:[0,.69444,0,0,.70834],79:[0,.69444,0,0,.73611],80:[0,.69444,0,0,.63889],81:[.125,.69444,0,0,.73611],82:[0,.69444,0,0,.64584],83:[0,.69444,0,0,.55556],84:[0,.69444,0,0,.68056],85:[0,.69444,0,0,.6875],86:[0,.69444,.01389,0,.66667],87:[0,.69444,.01389,0,.94445],88:[0,.69444,0,0,.66667],89:[0,.69444,.025,0,.66667],90:[0,.69444,0,0,.61111],91:[.25,.75,0,0,.28889],93:[.25,.75,0,0,.28889],94:[0,.69444,0,0,.5],95:[.35,.09444,.02778,0,.5],97:[0,.44444,0,0,.48056],98:[0,.69444,0,0,.51667],99:[0,.44444,0,0,.44445],100:[0,.69444,0,0,.51667],101:[0,.44444,0,0,.44445],102:[0,.69444,.06944,0,.30556],103:[.19444,.44444,.01389,0,.5],104:[0,.69444,0,0,.51667],105:[0,.67937,0,0,.23889],106:[.19444,.67937,0,0,.26667],107:[0,.69444,0,0,.48889],108:[0,.69444,0,0,.23889],109:[0,.44444,0,0,.79445],110:[0,.44444,0,0,.51667],111:[0,.44444,0,0,.5],112:[.19444,.44444,0,0,.51667],113:[.19444,.44444,0,0,.51667],114:[0,.44444,.01389,0,.34167],115:[0,.44444,0,0,.38333],116:[0,.57143,0,0,.36111],117:[0,.44444,0,0,.51667],118:[0,.44444,.01389,0,.46111],119:[0,.44444,.01389,0,.68334],120:[0,.44444,0,0,.46111],121:[.19444,.44444,.01389,0,.46111],122:[0,.44444,0,0,.43472],126:[.35,.32659,0,0,.5],160:[0,0,0,0,.25],168:[0,.67937,0,0,.5],176:[0,.69444,0,0,.66667],184:[.17014,0,0,0,.44445],305:[0,.44444,0,0,.23889],567:[.19444,.44444,0,0,.26667],710:[0,.69444,0,0,.5],711:[0,.63194,0,0,.5],713:[0,.60889,0,0,.5],714:[0,.69444,0,0,.5],715:[0,.69444,0,0,.5],728:[0,.69444,0,0,.5],729:[0,.67937,0,0,.27778],730:[0,.69444,0,0,.66667],732:[0,.67659,0,0,.5],733:[0,.69444,0,0,.5],915:[0,.69444,0,0,.54167],916:[0,.69444,0,0,.83334],920:[0,.69444,0,0,.77778],923:[0,.69444,0,0,.61111],926:[0,.69444,0,0,.66667],928:[0,.69444,0,0,.70834],931:[0,.69444,0,0,.72222],933:[0,.69444,0,0,.77778],934:[0,.69444,0,0,.72222],936:[0,.69444,0,0,.77778],937:[0,.69444,0,0,.72222],8211:[0,.44444,.02778,0,.5],8212:[0,.44444,.02778,0,1],8216:[0,.69444,0,0,.27778],8217:[0,.69444,0,0,.27778],8220:[0,.69444,0,0,.5],8221:[0,.69444,0,0,.5]},"Script-Regular":{32:[0,0,0,0,.25],65:[0,.7,.22925,0,.80253],66:[0,.7,.04087,0,.90757],67:[0,.7,.1689,0,.66619],68:[0,.7,.09371,0,.77443],69:[0,.7,.18583,0,.56162],70:[0,.7,.13634,0,.89544],71:[0,.7,.17322,0,.60961],72:[0,.7,.29694,0,.96919],73:[0,.7,.19189,0,.80907],74:[.27778,.7,.19189,0,1.05159],75:[0,.7,.31259,0,.91364],76:[0,.7,.19189,0,.87373],77:[0,.7,.15981,0,1.08031],78:[0,.7,.3525,0,.9015],79:[0,.7,.08078,0,.73787],80:[0,.7,.08078,0,1.01262],81:[0,.7,.03305,0,.88282],82:[0,.7,.06259,0,.85],83:[0,.7,.19189,0,.86767],84:[0,.7,.29087,0,.74697],85:[0,.7,.25815,0,.79996],86:[0,.7,.27523,0,.62204],87:[0,.7,.27523,0,.80532],88:[0,.7,.26006,0,.94445],89:[0,.7,.2939,0,.70961],90:[0,.7,.24037,0,.8212],160:[0,0,0,0,.25]},"Size1-Regular":{32:[0,0,0,0,.25],40:[.35001,.85,0,0,.45834],41:[.35001,.85,0,0,.45834],47:[.35001,.85,0,0,.57778],91:[.35001,.85,0,0,.41667],92:[.35001,.85,0,0,.57778],93:[.35001,.85,0,0,.41667],123:[.35001,.85,0,0,.58334],125:[.35001,.85,0,0,.58334],160:[0,0,0,0,.25],710:[0,.72222,0,0,.55556],732:[0,.72222,0,0,.55556],770:[0,.72222,0,0,.55556],771:[0,.72222,0,0,.55556],8214:[-99e-5,.601,0,0,.77778],8593:[1e-5,.6,0,0,.66667],8595:[1e-5,.6,0,0,.66667],8657:[1e-5,.6,0,0,.77778],8659:[1e-5,.6,0,0,.77778],8719:[.25001,.75,0,0,.94445],8720:[.25001,.75,0,0,.94445],8721:[.25001,.75,0,0,1.05556],8730:[.35001,.85,0,0,1],8739:[-.00599,.606,0,0,.33333],8741:[-.00599,.606,0,0,.55556],8747:[.30612,.805,.19445,0,.47222],8748:[.306,.805,.19445,0,.47222],8749:[.306,.805,.19445,0,.47222],8750:[.30612,.805,.19445,0,.47222],8896:[.25001,.75,0,0,.83334],8897:[.25001,.75,0,0,.83334],8898:[.25001,.75,0,0,.83334],8899:[.25001,.75,0,0,.83334],8968:[.35001,.85,0,0,.47222],8969:[.35001,.85,0,0,.47222],8970:[.35001,.85,0,0,.47222],8971:[.35001,.85,0,0,.47222],9168:[-99e-5,.601,0,0,.66667],10216:[.35001,.85,0,0,.47222],10217:[.35001,.85,0,0,.47222],10752:[.25001,.75,0,0,1.11111],10753:[.25001,.75,0,0,1.11111],10754:[.25001,.75,0,0,1.11111],10756:[.25001,.75,0,0,.83334],10758:[.25001,.75,0,0,.83334]},"Size2-Regular":{32:[0,0,0,0,.25],40:[.65002,1.15,0,0,.59722],41:[.65002,1.15,0,0,.59722],47:[.65002,1.15,0,0,.81111],91:[.65002,1.15,0,0,.47222],92:[.65002,1.15,0,0,.81111],93:[.65002,1.15,0,0,.47222],123:[.65002,1.15,0,0,.66667],125:[.65002,1.15,0,0,.66667],160:[0,0,0,0,.25],710:[0,.75,0,0,1],732:[0,.75,0,0,1],770:[0,.75,0,0,1],771:[0,.75,0,0,1],8719:[.55001,1.05,0,0,1.27778],8720:[.55001,1.05,0,0,1.27778],8721:[.55001,1.05,0,0,1.44445],8730:[.65002,1.15,0,0,1],8747:[.86225,1.36,.44445,0,.55556],8748:[.862,1.36,.44445,0,.55556],8749:[.862,1.36,.44445,0,.55556],8750:[.86225,1.36,.44445,0,.55556],8896:[.55001,1.05,0,0,1.11111],8897:[.55001,1.05,0,0,1.11111],8898:[.55001,1.05,0,0,1.11111],8899:[.55001,1.05,0,0,1.11111],8968:[.65002,1.15,0,0,.52778],8969:[.65002,1.15,0,0,.52778],8970:[.65002,1.15,0,0,.52778],8971:[.65002,1.15,0,0,.52778],10216:[.65002,1.15,0,0,.61111],10217:[.65002,1.15,0,0,.61111],10752:[.55001,1.05,0,0,1.51112],10753:[.55001,1.05,0,0,1.51112],10754:[.55001,1.05,0,0,1.51112],10756:[.55001,1.05,0,0,1.11111],10758:[.55001,1.05,0,0,1.11111]},"Size3-Regular":{32:[0,0,0,0,.25],40:[.95003,1.45,0,0,.73611],41:[.95003,1.45,0,0,.73611],47:[.95003,1.45,0,0,1.04445],91:[.95003,1.45,0,0,.52778],92:[.95003,1.45,0,0,1.04445],93:[.95003,1.45,0,0,.52778],123:[.95003,1.45,0,0,.75],125:[.95003,1.45,0,0,.75],160:[0,0,0,0,.25],710:[0,.75,0,0,1.44445],732:[0,.75,0,0,1.44445],770:[0,.75,0,0,1.44445],771:[0,.75,0,0,1.44445],8730:[.95003,1.45,0,0,1],8968:[.95003,1.45,0,0,.58334],8969:[.95003,1.45,0,0,.58334],8970:[.95003,1.45,0,0,.58334],8971:[.95003,1.45,0,0,.58334],10216:[.95003,1.45,0,0,.75],10217:[.95003,1.45,0,0,.75]},"Size4-Regular":{32:[0,0,0,0,.25],40:[1.25003,1.75,0,0,.79167],41:[1.25003,1.75,0,0,.79167],47:[1.25003,1.75,0,0,1.27778],91:[1.25003,1.75,0,0,.58334],92:[1.25003,1.75,0,0,1.27778],93:[1.25003,1.75,0,0,.58334],123:[1.25003,1.75,0,0,.80556],125:[1.25003,1.75,0,0,.80556],160:[0,0,0,0,.25],710:[0,.825,0,0,1.8889],732:[0,.825,0,0,1.8889],770:[0,.825,0,0,1.8889],771:[0,.825,0,0,1.8889],8730:[1.25003,1.75,0,0,1],8968:[1.25003,1.75,0,0,.63889],8969:[1.25003,1.75,0,0,.63889],8970:[1.25003,1.75,0,0,.63889],8971:[1.25003,1.75,0,0,.63889],9115:[.64502,1.155,0,0,.875],9116:[1e-5,.6,0,0,.875],9117:[.64502,1.155,0,0,.875],9118:[.64502,1.155,0,0,.875],9119:[1e-5,.6,0,0,.875],9120:[.64502,1.155,0,0,.875],9121:[.64502,1.155,0,0,.66667],9122:[-99e-5,.601,0,0,.66667],9123:[.64502,1.155,0,0,.66667],9124:[.64502,1.155,0,0,.66667],9125:[-99e-5,.601,0,0,.66667],9126:[.64502,1.155,0,0,.66667],9127:[1e-5,.9,0,0,.88889],9128:[.65002,1.15,0,0,.88889],9129:[.90001,0,0,0,.88889],9130:[0,.3,0,0,.88889],9131:[1e-5,.9,0,0,.88889],9132:[.65002,1.15,0,0,.88889],9133:[.90001,0,0,0,.88889],9143:[.88502,.915,0,0,1.05556],10216:[1.25003,1.75,0,0,.80556],10217:[1.25003,1.75,0,0,.80556],57344:[-.00499,.605,0,0,1.05556],57345:[-.00499,.605,0,0,1.05556],57680:[0,.12,0,0,.45],57681:[0,.12,0,0,.45],57682:[0,.12,0,0,.45],57683:[0,.12,0,0,.45]},"Typewriter-Regular":{32:[0,0,0,0,.525],33:[0,.61111,0,0,.525],34:[0,.61111,0,0,.525],35:[0,.61111,0,0,.525],36:[.08333,.69444,0,0,.525],37:[.08333,.69444,0,0,.525],38:[0,.61111,0,0,.525],39:[0,.61111,0,0,.525],40:[.08333,.69444,0,0,.525],41:[.08333,.69444,0,0,.525],42:[0,.52083,0,0,.525],43:[-.08056,.53055,0,0,.525],44:[.13889,.125,0,0,.525],45:[-.08056,.53055,0,0,.525],46:[0,.125,0,0,.525],47:[.08333,.69444,0,0,.525],48:[0,.61111,0,0,.525],49:[0,.61111,0,0,.525],50:[0,.61111,0,0,.525],51:[0,.61111,0,0,.525],52:[0,.61111,0,0,.525],53:[0,.61111,0,0,.525],54:[0,.61111,0,0,.525],55:[0,.61111,0,0,.525],56:[0,.61111,0,0,.525],57:[0,.61111,0,0,.525],58:[0,.43056,0,0,.525],59:[.13889,.43056,0,0,.525],60:[-.05556,.55556,0,0,.525],61:[-.19549,.41562,0,0,.525],62:[-.05556,.55556,0,0,.525],63:[0,.61111,0,0,.525],64:[0,.61111,0,0,.525],65:[0,.61111,0,0,.525],66:[0,.61111,0,0,.525],67:[0,.61111,0,0,.525],68:[0,.61111,0,0,.525],69:[0,.61111,0,0,.525],70:[0,.61111,0,0,.525],71:[0,.61111,0,0,.525],72:[0,.61111,0,0,.525],73:[0,.61111,0,0,.525],74:[0,.61111,0,0,.525],75:[0,.61111,0,0,.525],76:[0,.61111,0,0,.525],77:[0,.61111,0,0,.525],78:[0,.61111,0,0,.525],79:[0,.61111,0,0,.525],80:[0,.61111,0,0,.525],81:[.13889,.61111,0,0,.525],82:[0,.61111,0,0,.525],83:[0,.61111,0,0,.525],84:[0,.61111,0,0,.525],85:[0,.61111,0,0,.525],86:[0,.61111,0,0,.525],87:[0,.61111,0,0,.525],88:[0,.61111,0,0,.525],89:[0,.61111,0,0,.525],90:[0,.61111,0,0,.525],91:[.08333,.69444,0,0,.525],92:[.08333,.69444,0,0,.525],93:[.08333,.69444,0,0,.525],94:[0,.61111,0,0,.525],95:[.09514,0,0,0,.525],96:[0,.61111,0,0,.525],97:[0,.43056,0,0,.525],98:[0,.61111,0,0,.525],99:[0,.43056,0,0,.525],100:[0,.61111,0,0,.525],101:[0,.43056,0,0,.525],102:[0,.61111,0,0,.525],103:[.22222,.43056,0,0,.525],104:[0,.61111,0,0,.525],105:[0,.61111,0,0,.525],106:[.22222,.61111,0,0,.525],107:[0,.61111,0,0,.525],108:[0,.61111,0,0,.525],109:[0,.43056,0,0,.525],110:[0,.43056,0,0,.525],111:[0,.43056,0,0,.525],112:[.22222,.43056,0,0,.525],113:[.22222,.43056,0,0,.525],114:[0,.43056,0,0,.525],115:[0,.43056,0,0,.525],116:[0,.55358,0,0,.525],117:[0,.43056,0,0,.525],118:[0,.43056,0,0,.525],119:[0,.43056,0,0,.525],120:[0,.43056,0,0,.525],121:[.22222,.43056,0,0,.525],122:[0,.43056,0,0,.525],123:[.08333,.69444,0,0,.525],124:[.08333,.69444,0,0,.525],125:[.08333,.69444,0,0,.525],126:[0,.61111,0,0,.525],127:[0,.61111,0,0,.525],160:[0,0,0,0,.525],176:[0,.61111,0,0,.525],184:[.19445,0,0,0,.525],305:[0,.43056,0,0,.525],567:[.22222,.43056,0,0,.525],711:[0,.56597,0,0,.525],713:[0,.56555,0,0,.525],714:[0,.61111,0,0,.525],715:[0,.61111,0,0,.525],728:[0,.61111,0,0,.525],730:[0,.61111,0,0,.525],770:[0,.61111,0,0,.525],771:[0,.61111,0,0,.525],776:[0,.61111,0,0,.525],915:[0,.61111,0,0,.525],916:[0,.61111,0,0,.525],920:[0,.61111,0,0,.525],923:[0,.61111,0,0,.525],926:[0,.61111,0,0,.525],928:[0,.61111,0,0,.525],931:[0,.61111,0,0,.525],933:[0,.61111,0,0,.525],934:[0,.61111,0,0,.525],936:[0,.61111,0,0,.525],937:[0,.61111,0,0,.525],8216:[0,.61111,0,0,.525],8217:[0,.61111,0,0,.525],8242:[0,.61111,0,0,.525],9251:[.11111,.21944,0,0,.525]}},oe={slant:[.25,.25,.25],space:[0,0,0],stretch:[0,0,0],shrink:[0,0,0],xHeight:[.431,.431,.431],quad:[1,1.171,1.472],extraSpace:[0,0,0],num1:[.677,.732,.925],num2:[.394,.384,.387],num3:[.444,.471,.504],denom1:[.686,.752,1.025],denom2:[.345,.344,.532],sup1:[.413,.503,.504],sup2:[.363,.431,.404],sup3:[.289,.286,.294],sub1:[.15,.143,.2],sub2:[.247,.286,.4],supDrop:[.386,.353,.494],subDrop:[.05,.071,.1],delim1:[2.39,1.7,1.98],delim2:[1.01,1.157,1.42],axisHeight:[.25,.25,.25],defaultRuleThickness:[.04,.049,.049],bigOpSpacing1:[.111,.111,.111],bigOpSpacing2:[.166,.166,.166],bigOpSpacing3:[.2,.2,.2],bigOpSpacing4:[.6,.611,.611],bigOpSpacing5:[.1,.143,.143],sqrtRuleThickness:[.04,.04,.04],ptPerEm:[10,10,10],doubleRuleSep:[.2,.2,.2],arrayRuleWidth:[.04,.04,.04],fboxsep:[.3,.3,.3],fboxrule:[.04,.04,.04]},se={"Å":"A","Ð":"D","Þ":"o","å":"a","ð":"d","þ":"o","А":"A","Б":"B","В":"B","Г":"F","Д":"A","Е":"E","Ж":"K","З":"3","И":"N","Й":"N","К":"K","Л":"N","М":"M","Н":"H","О":"O","П":"N","Р":"P","С":"C","Т":"T","У":"y","Ф":"O","Х":"X","Ц":"U","Ч":"h","Ш":"W","Щ":"W","Ъ":"B","Ы":"X","Ь":"B","Э":"3","Ю":"X","Я":"R","а":"a","б":"b","в":"a","г":"r","д":"y","е":"e","ж":"m","з":"e","и":"n","й":"n","к":"n","л":"n","м":"m","н":"n","о":"o","п":"n","р":"p","с":"c","т":"o","у":"y","ф":"b","х":"x","ц":"n","ч":"n","ш":"w","щ":"w","ъ":"a","ы":"m","ь":"a","э":"e","ю":"m","я":"r"};function le(e){this.children=void 0,this.classes=void 0,this.height=void 0,this.depth=void 0,this.maxFontSize=void 0,this.style=void 0,this.children=e,this.classes=[],this.height=0,this.depth=0,this.maxFontSize=0,this.style={}}function he(e,t,r){if(!ae[t])throw new Error("Font metrics not found for font: "+t+".");var n=e.charCodeAt(0),i=ae[t][n];if(!i&&e[0]in se&&(n=se[e[0]].charCodeAt(0),i=ae[t][n]),i||"text"!==r||_(n)&&(i=ae[t][77]),i)return{depth:i[0],height:i[1],italic:i[2],skew:i[3],width:i[4]}}function me(e,t){return t.size<2?e:ue[e-1][t.size-1]}var ce={},ue=[[1,1,1],[2,1,1],[3,1,1],[4,2,1],[5,2,1],[6,3,1],[7,4,2],[8,6,3],[9,7,6],[10,8,7],[11,10,9]],pe=[.5,.6,.7,.8,.9,1,1.2,1.44,1.728,2.074,2.488],t=((e=de.prototype).extend=function(e){var t,r={style:this.style,size:this.size,textSize:this.textSize,color:this.color,phantom:this.phantom,font:this.font,fontFamily:this.fontFamily,fontWeight:this.fontWeight,fontShape:this.fontShape,maxSize:this.maxSize,minRuleThickness:this.minRuleThickness};for(t in e)e.hasOwnProperty(t)&&(r[t]=e[t]);return new de(r)},e.havingStyle=function(e){return this.style===e?this:this.extend({style:e,size:me(this.textSize,e)})},e.havingCrampedStyle=function(){return this.havingStyle(this.style.cramp())},e.havingSize=function(e){return this.size===e&&this.textSize===e?this:this.extend({style:this.style.text(),size:e,textSize:e,sizeMultiplier:pe[e-1]})},e.havingBaseStyle=function(e){e=e||this.style.text();var t=me(de.BASESIZE,e);return this.size===t&&this.textSize===de.BASESIZE&&this.style===e?this:this.extend({style:e,size:t})},e.havingBaseSizing=function(){var e;switch(this.style.id){case 4:case 5:e=3;break;case 6:case 7:e=1;break;default:e=6}return this.extend({style:this.style.text(),size:e})},e.withColor=function(e){return this.extend({color:e})},e.withPhantom=function(){return this.extend({phantom:!0})},e.withFont=function(e){return this.extend({font:e})},e.withTextFontFamily=function(e){return this.extend({fontFamily:e,font:""})},e.withTextFontWeight=function(e){return this.extend({fontWeight:e,font:""})},e.withTextFontShape=function(e){return this.extend({fontShape:e,font:""})},e.sizingClasses=function(e){return e.size!==this.size?["sizing","reset-size"+e.size,"size"+this.size]:[]},e.baseSizingClasses=function(){return this.size!==de.BASESIZE?["sizing","reset-size"+this.size,"size"+de.BASESIZE]:[]},e.fontMetrics=function(){return this._fontMetrics||(this._fontMetrics=function(e){var t;if(!ce[t=5<=e?0:3<=e?1:2]){var r,n=ce[t]={cssEmPerMu:oe.quad[t]/18};for(r in oe)oe.hasOwnProperty(r)&&(n[r]=oe[r][t])}return ce[t]}(this.size)),this._fontMetrics},e.getColor=function(){return this.phantom?"transparent":this.color},de);function de(e){this.style=void 0,this.color=void 0,this.size=void 0,this.textSize=void 0,this.phantom=void 0,this.font=void 0,this.fontFamily=void 0,this.fontWeight=void 0,this.fontShape=void 0,this.sizeMultiplier=void 0,this.maxSize=void 0,this.minRuleThickness=void 0,this._fontMetrics=void 0,this.style=e.style,this.color=e.color,this.size=e.size||de.BASESIZE,this.textSize=e.textSize||this.size,this.phantom=!!e.phantom,this.font=e.font||"",this.fontFamily=e.fontFamily||"",this.fontWeight=e.fontWeight||"",this.fontShape=e.fontShape||"",this.sizeMultiplier=pe[this.size-1],this.maxSize=e.maxSize,this.minRuleThickness=e.minRuleThickness,this._fontMetrics=void 0}t.BASESIZE=6;function fe(e){return(e="string"!=typeof e?e.unit:e)in we||e in ke||"ex"===e}function J(e,t){var r;if(e.unit in we)r=we[e.unit]/t.fontMetrics().ptPerEm/t.sizeMultiplier;else if("mu"===e.unit)r=t.fontMetrics().cssEmPerMu;else{var n=t.style.isTight()?t.havingStyle(t.style.text()):t;if("ex"===e.unit)r=n.fontMetrics().xHeight;else{if("em"!==e.unit)throw new $("Invalid unit: '"+e.unit+"'");r=n.fontMetrics().quad}n!==t&&(r*=n.sizeMultiplier/t.sizeMultiplier)}return Math.min(e.number*r,t.maxSize)}function ge(e){return e.filter(function(e){return e}).join(" ")}function ye(e,t,r){this.classes=e||[],this.attributes={},this.height=0,this.depth=0,this.maxFontSize=0,this.style=r||{},t&&(t.style.isTight()&&this.classes.push("mtight"),(e=t.getColor())&&(this.style.color=e))}function be(e){var t,r,n=document.createElement(e);for(t in n.className=ge(this.classes),this.style)this.style.hasOwnProperty(t)&&(n.style[t]=this.style[t]);for(r in this.attributes)this.attributes.hasOwnProperty(r)&&n.setAttribute(r,this.attributes[r]);for(var i=0;i<this.children.length;i++)n.appendChild(this.children[i].toNode());return n}function xe(e){var t,r,n="<"+e,i=(this.classes.length&&(n+=' class="'+Z.escape(ge(this.classes))+'"'),"");for(t in this.style)this.style.hasOwnProperty(t)&&(i+=Z.hyphenate(t)+":"+this.style[t]+";");for(r in i&&(n+=' style="'+Z.escape(i)+'"'),this.attributes)this.attributes.hasOwnProperty(r)&&(n+=" "+r+'="'+Z.escape(this.attributes[r])+'"');n+=">";for(var a=0;a<this.children.length;a++)n+=this.children[a].toMarkup();return n+"</"+e+">"}var ve=t,we={pt:1,mm:7227/2540,cm:7227/254,in:72.27,bp:1.00375,pc:12,dd:1238/1157,cc:14856/1157,nd:685/642,nc:1370/107,sp:1/65536,px:1.00375},ke={ex:!0,em:!0,mu:!0},Q=function(e){return+e.toFixed(4)+"em"},Se=((e=He.prototype).setAttribute=function(e,t){this.attributes[e]=t},e.hasClass=function(e){return Z.contains(this.classes,e)},e.toNode=function(){return be.call(this,"span")},e.toMarkup=function(){return xe.call(this,"span")},He),Me=((t=Ee.prototype).setAttribute=function(e,t){this.attributes[e]=t},t.hasClass=function(e){return Z.contains(this.classes,e)},t.toNode=function(){return be.call(this,"a")},t.toMarkup=function(){return xe.call(this,"a")},Ee),ze=((e=Re.prototype).hasClass=function(e){return Z.contains(this.classes,e)},e.toNode=function(){var e,t=document.createElement("img");for(e in t.src=this.src,t.alt=this.alt,t.className="mord",this.style)this.style.hasOwnProperty(e)&&(t.style[e]=this.style[e]);return t},e.toMarkup=function(){var e,t="<img  src='"+this.src+" 'alt='"+this.alt+"' ",r="";for(e in this.style)this.style.hasOwnProperty(e)&&(r+=Z.hyphenate(e)+":"+this.style[e]+";");return r&&(t+=' style="'+Z.escape(r)+'"'),t+"'/>"},Re),Ae={"î":"ı̂","ï":"ı̈","í":"ı́","ì":"ı̀"},b=((t=Oe.prototype).hasClass=function(e){return Z.contains(this.classes,e)},t.toNode=function(){var e,t=document.createTextNode(this.text),r=null;for(e in 0<this.italic&&((r=document.createElement("span")).style.marginRight=Q(this.italic)),0<this.classes.length&&((r=r||document.createElement("span")).className=ge(this.classes)),this.style)this.style.hasOwnProperty(e)&&((r=r||document.createElement("span")).style[e]=this.style[e]);return r?(r.appendChild(t),r):t},t.toMarkup=function(){var e,t=!1,r="<span",n=(this.classes.length&&(t=!0,r=(r+=' class="')+Z.escape(ge(this.classes))+'"'),"");for(e in 0<this.italic&&(n+="margin-right:"+this.italic+"em;"),this.style)this.style.hasOwnProperty(e)&&(n+=Z.hyphenate(e)+":"+this.style[e]+";");n&&(t=!0,r+=' style="'+Z.escape(n)+'"');var i=Z.escape(this.text);return t?(r=r+">"+i)+"</span>":i},Oe),Te=((e=Ie.prototype).toNode=function(){var e,t=document.createElementNS("http://www.w3.org/2000/svg","svg");for(e in this.attributes)Object.prototype.hasOwnProperty.call(this.attributes,e)&&t.setAttribute(e,this.attributes[e]);for(var r=0;r<this.children.length;r++)t.appendChild(this.children[r].toNode());return t},e.toMarkup=function(){var e,t='<svg xmlns="http://www.w3.org/2000/svg"';for(e in this.attributes)Object.prototype.hasOwnProperty.call(this.attributes,e)&&(t+=" "+e+"='"+this.attributes[e]+"'");t+=">";for(var r=0;r<this.children.length;r++)t+=this.children[r].toMarkup();return t+"</svg>"},Ie),Be=((t=qe.prototype).toNode=function(){var e=document.createElementNS("http://www.w3.org/2000/svg","path");return this.alternate?e.setAttribute("d",this.alternate):e.setAttribute("d",ne[this.pathName]),e},t.toMarkup=function(){return this.alternate?"<path d='"+this.alternate+"'/>":"<path d='"+ne[this.pathName]+"'/>"},qe),Ce=((e=Ne.prototype).toNode=function(){var e,t=document.createElementNS("http://www.w3.org/2000/svg","line");for(e in this.attributes)Object.prototype.hasOwnProperty.call(this.attributes,e)&&t.setAttribute(e,this.attributes[e]);return t},e.toMarkup=function(){var e,t="<line";for(e in this.attributes)Object.prototype.hasOwnProperty.call(this.attributes,e)&&(t+=" "+e+"='"+this.attributes[e]+"'");return t+"/>"},Ne);function Ne(e){this.attributes=void 0,this.attributes=e||{}}function qe(e,t){this.pathName=void 0,this.alternate=void 0,this.pathName=e,this.alternate=t}function Ie(e,t){this.children=void 0,this.attributes=void 0,this.children=e||[],this.attributes=t||{}}function Oe(e,t,r,n,i,a,o,s){this.text=void 0,this.height=void 0,this.depth=void 0,this.italic=void 0,this.skew=void 0,this.width=void 0,this.maxFontSize=void 0,this.classes=void 0,this.style=void 0,this.text=e,this.height=t||0,this.depth=r||0,this.italic=n||0,this.skew=i||0,this.width=a||0,this.classes=o||[],this.style=s||{},this.maxFontSize=0;e=function(e){for(var t=0;t<Y.length;t++)for(var r=Y[t],n=0;n<r.blocks.length;n++){var i=r.blocks[n];if(e>=i[0]&&e<=i[1])return r.name}return null}(this.text.charCodeAt(0));e&&this.classes.push(e+"_fallback"),/[\xee\xef\xed\xec]/.test(this.text)&&(this.text=Ae[this.text])}function Re(e,t,r){this.src=void 0,this.alt=void 0,this.classes=void 0,this.height=void 0,this.depth=void 0,this.maxFontSize=void 0,this.style=void 0,this.alt=t,this.src=e,this.classes=["mord"],this.style=r}function Ee(e,t,r,n){this.children=void 0,this.attributes=void 0,this.classes=void 0,this.height=void 0,this.depth=void 0,this.maxFontSize=void 0,this.style=void 0,ye.call(this,t,n),this.children=r||[],this.setAttribute("href",e)}function He(e,t,r,n){this.children=void 0,this.attributes=void 0,this.classes=void 0,this.height=void 0,this.depth=void 0,this.width=void 0,this.maxFontSize=void 0,this.style=void 0,ye.call(this,e,r,n),this.children=t||[]}function Le(e){if(e instanceof b)return e;throw new Error("Expected symbolNode but got "+String(e)+".")}var De={bin:1,close:1,inner:1,open:1,punct:1,rel:1},Pe={"accent-token":1,mathord:1,"op-token":1,spacing:1,textord:1},Fe={math:{},text:{}},p=Fe;function r(e,t,r,n,i,a){Fe[e][i]={font:t,group:r,replace:n},a&&n&&(Fe[e][n]=Fe[e][i])}var n="math",i="text",a="main",t="ams",e="accent-token",o="bin",s="close",Ve="inner",l="mathord",h="op-token",m="open",c="punct",u="rel",d="spacing",f="textord",Ge=(r(n,a,u,"≡","\\equiv",!0),r(n,a,u,"≺","\\prec",!0),r(n,a,u,"≻","\\succ",!0),r(n,a,u,"∼","\\sim",!0),r(n,a,u,"⊥","\\perp"),r(n,a,u,"⪯","\\preceq",!0),r(n,a,u,"⪰","\\succeq",!0),r(n,a,u,"≃","\\simeq",!0),r(n,a,u,"∣","\\mid",!0),r(n,a,u,"≪","\\ll",!0),r(n,a,u,"≫","\\gg",!0),r(n,a,u,"≍","\\asymp",!0),r(n,a,u,"∥","\\parallel"),r(n,a,u,"⋈","\\bowtie",!0),r(n,a,u,"⌣","\\smile",!0),r(n,a,u,"⊑","\\sqsubseteq",!0),r(n,a,u,"⊒","\\sqsupseteq",!0),r(n,a,u,"≐","\\doteq",!0),r(n,a,u,"⌢","\\frown",!0),r(n,a,u,"∋","\\ni",!0),r(n,a,u,"∝","\\propto",!0),r(n,a,u,"⊢","\\vdash",!0),r(n,a,u,"⊣","\\dashv",!0),r(n,a,u,"∋","\\owns"),r(n,a,c,".","\\ldotp"),r(n,a,c,"⋅","\\cdotp"),r(n,a,f,"#","\\#"),r(i,a,f,"#","\\#"),r(n,a,f,"&","\\&"),r(i,a,f,"&","\\&"),r(n,a,f,"ℵ","\\aleph",!0),r(n,a,f,"∀","\\forall",!0),r(n,a,f,"ℏ","\\hbar",!0),r(n,a,f,"∃","\\exists",!0),r(n,a,f,"∇","\\nabla",!0),r(n,a,f,"♭","\\flat",!0),r(n,a,f,"ℓ","\\ell",!0),r(n,a,f,"♮","\\natural",!0),r(n,a,f,"♣","\\clubsuit",!0),r(n,a,f,"℘","\\wp",!0),r(n,a,f,"♯","\\sharp",!0),r(n,a,f,"♢","\\diamondsuit",!0),r(n,a,f,"ℜ","\\Re",!0),r(n,a,f,"♡","\\heartsuit",!0),r(n,a,f,"ℑ","\\Im",!0),r(n,a,f,"♠","\\spadesuit",!0),r(n,a,f,"§","\\S",!0),r(i,a,f,"§","\\S"),r(n,a,f,"¶","\\P",!0),r(i,a,f,"¶","\\P"),r(n,a,f,"†","\\dag"),r(i,a,f,"†","\\dag"),r(i,a,f,"†","\\textdagger"),r(n,a,f,"‡","\\ddag"),r(i,a,f,"‡","\\ddag"),r(i,a,f,"‡","\\textdaggerdbl"),r(n,a,s,"⎱","\\rmoustache",!0),r(n,a,m,"⎰","\\lmoustache",!0),r(n,a,s,"⟯","\\rgroup",!0),r(n,a,m,"⟮","\\lgroup",!0),r(n,a,o,"∓","\\mp",!0),r(n,a,o,"⊖","\\ominus",!0),r(n,a,o,"⊎","\\uplus",!0),r(n,a,o,"⊓","\\sqcap",!0),r(n,a,o,"∗","\\ast"),r(n,a,o,"⊔","\\sqcup",!0),r(n,a,o,"◯","\\bigcirc",!0),r(n,a,o,"∙","\\bullet",!0),r(n,a,o,"‡","\\ddagger"),r(n,a,o,"≀","\\wr",!0),r(n,a,o,"⨿","\\amalg"),r(n,a,o,"&","\\And"),r(n,a,u,"⟵","\\longleftarrow",!0),r(n,a,u,"⇐","\\Leftarrow",!0),r(n,a,u,"⟸","\\Longleftarrow",!0),r(n,a,u,"⟶","\\longrightarrow",!0),r(n,a,u,"⇒","\\Rightarrow",!0),r(n,a,u,"⟹","\\Longrightarrow",!0),r(n,a,u,"↔","\\leftrightarrow",!0),r(n,a,u,"⟷","\\longleftrightarrow",!0),r(n,a,u,"⇔","\\Leftrightarrow",!0),r(n,a,u,"⟺","\\Longleftrightarrow",!0),r(n,a,u,"↦","\\mapsto",!0),r(n,a,u,"⟼","\\longmapsto",!0),r(n,a,u,"↗","\\nearrow",!0),r(n,a,u,"↩","\\hookleftarrow",!0),r(n,a,u,"↪","\\hookrightarrow",!0),r(n,a,u,"↘","\\searrow",!0),r(n,a,u,"↼","\\leftharpoonup",!0),r(n,a,u,"⇀","\\rightharpoonup",!0),r(n,a,u,"↙","\\swarrow",!0),r(n,a,u,"↽","\\leftharpoondown",!0),r(n,a,u,"⇁","\\rightharpoondown",!0),r(n,a,u,"↖","\\nwarrow",!0),r(n,a,u,"⇌","\\rightleftharpoons",!0),r(n,t,u,"≮","\\nless",!0),r(n,t,u,"","\\@nleqslant"),r(n,t,u,"","\\@nleqq"),r(n,t,u,"⪇","\\lneq",!0),r(n,t,u,"≨","\\lneqq",!0),r(n,t,u,"","\\@lvertneqq"),r(n,t,u,"⋦","\\lnsim",!0),r(n,t,u,"⪉","\\lnapprox",!0),r(n,t,u,"⊀","\\nprec",!0),r(n,t,u,"⋠","\\npreceq",!0),r(n,t,u,"⋨","\\precnsim",!0),r(n,t,u,"⪹","\\precnapprox",!0),r(n,t,u,"≁","\\nsim",!0),r(n,t,u,"","\\@nshortmid"),r(n,t,u,"∤","\\nmid",!0),r(n,t,u,"⊬","\\nvdash",!0),r(n,t,u,"⊭","\\nvDash",!0),r(n,t,u,"⋪","\\ntriangleleft"),r(n,t,u,"⋬","\\ntrianglelefteq",!0),r(n,t,u,"⊊","\\subsetneq",!0),r(n,t,u,"","\\@varsubsetneq"),r(n,t,u,"⫋","\\subsetneqq",!0),r(n,t,u,"","\\@varsubsetneqq"),r(n,t,u,"≯","\\ngtr",!0),r(n,t,u,"","\\@ngeqslant"),r(n,t,u,"","\\@ngeqq"),r(n,t,u,"⪈","\\gneq",!0),r(n,t,u,"≩","\\gneqq",!0),r(n,t,u,"","\\@gvertneqq"),r(n,t,u,"⋧","\\gnsim",!0),r(n,t,u,"⪊","\\gnapprox",!0),r(n,t,u,"⊁","\\nsucc",!0),r(n,t,u,"⋡","\\nsucceq",!0),r(n,t,u,"⋩","\\succnsim",!0),r(n,t,u,"⪺","\\succnapprox",!0),r(n,t,u,"≆","\\ncong",!0),r(n,t,u,"","\\@nshortparallel"),r(n,t,u,"∦","\\nparallel",!0),r(n,t,u,"⊯","\\nVDash",!0),r(n,t,u,"⋫","\\ntriangleright"),r(n,t,u,"⋭","\\ntrianglerighteq",!0),r(n,t,u,"","\\@nsupseteqq"),r(n,t,u,"⊋","\\supsetneq",!0),r(n,t,u,"","\\@varsupsetneq"),r(n,t,u,"⫌","\\supsetneqq",!0),r(n,t,u,"","\\@varsupsetneqq"),r(n,t,u,"⊮","\\nVdash",!0),r(n,t,u,"⪵","\\precneqq",!0),r(n,t,u,"⪶","\\succneqq",!0),r(n,t,u,"","\\@nsubseteqq"),r(n,t,o,"⊴","\\unlhd"),r(n,t,o,"⊵","\\unrhd"),r(n,t,u,"↚","\\nleftarrow",!0),r(n,t,u,"↛","\\nrightarrow",!0),r(n,t,u,"⇍","\\nLeftarrow",!0),r(n,t,u,"⇏","\\nRightarrow",!0),r(n,t,u,"↮","\\nleftrightarrow",!0),r(n,t,u,"⇎","\\nLeftrightarrow",!0),r(n,t,u,"△","\\vartriangle"),r(n,t,f,"ℏ","\\hslash"),r(n,t,f,"▽","\\triangledown"),r(n,t,f,"◊","\\lozenge"),r(n,t,f,"Ⓢ","\\circledS"),r(n,t,f,"®","\\circledR"),r(i,t,f,"®","\\circledR"),r(n,t,f,"∡","\\measuredangle",!0),r(n,t,f,"∄","\\nexists"),r(n,t,f,"℧","\\mho"),r(n,t,f,"Ⅎ","\\Finv",!0),r(n,t,f,"⅁","\\Game",!0),r(n,t,f,"‵","\\backprime"),r(n,t,f,"▲","\\blacktriangle"),r(n,t,f,"▼","\\blacktriangledown"),r(n,t,f,"■","\\blacksquare"),r(n,t,f,"⧫","\\blacklozenge"),r(n,t,f,"★","\\bigstar"),r(n,t,f,"∢","\\sphericalangle",!0),r(n,t,f,"∁","\\complement",!0),r(n,t,f,"ð","\\eth",!0),r(i,a,f,"ð","ð"),r(n,t,f,"╱","\\diagup"),r(n,t,f,"╲","\\diagdown"),r(n,t,f,"□","\\square"),r(n,t,f,"□","\\Box"),r(n,t,f,"◊","\\Diamond"),r(n,t,f,"¥","\\yen",!0),r(i,t,f,"¥","\\yen",!0),r(n,t,f,"✓","\\checkmark",!0),r(i,t,f,"✓","\\checkmark"),r(n,t,f,"ℶ","\\beth",!0),r(n,t,f,"ℸ","\\daleth",!0),r(n,t,f,"ℷ","\\gimel",!0),r(n,t,f,"ϝ","\\digamma",!0),r(n,t,f,"ϰ","\\varkappa"),r(n,t,m,"┌","\\@ulcorner",!0),r(n,t,s,"┐","\\@urcorner",!0),r(n,t,m,"└","\\@llcorner",!0),r(n,t,s,"┘","\\@lrcorner",!0),r(n,t,u,"≦","\\leqq",!0),r(n,t,u,"⩽","\\leqslant",!0),r(n,t,u,"⪕","\\eqslantless",!0),r(n,t,u,"≲","\\lesssim",!0),r(n,t,u,"⪅","\\lessapprox",!0),r(n,t,u,"≊","\\approxeq",!0),r(n,t,o,"⋖","\\lessdot"),r(n,t,u,"⋘","\\lll",!0),r(n,t,u,"≶","\\lessgtr",!0),r(n,t,u,"⋚","\\lesseqgtr",!0),r(n,t,u,"⪋","\\lesseqqgtr",!0),r(n,t,u,"≑","\\doteqdot"),r(n,t,u,"≓","\\risingdotseq",!0),r(n,t,u,"≒","\\fallingdotseq",!0),r(n,t,u,"∽","\\backsim",!0),r(n,t,u,"⋍","\\backsimeq",!0),r(n,t,u,"⫅","\\subseteqq",!0),r(n,t,u,"⋐","\\Subset",!0),r(n,t,u,"⊏","\\sqsubset",!0),r(n,t,u,"≼","\\preccurlyeq",!0),r(n,t,u,"⋞","\\curlyeqprec",!0),r(n,t,u,"≾","\\precsim",!0),r(n,t,u,"⪷","\\precapprox",!0),r(n,t,u,"⊲","\\vartriangleleft"),r(n,t,u,"⊴","\\trianglelefteq"),r(n,t,u,"⊨","\\vDash",!0),r(n,t,u,"⊪","\\Vvdash",!0),r(n,t,u,"⌣","\\smallsmile"),r(n,t,u,"⌢","\\smallfrown"),r(n,t,u,"≏","\\bumpeq",!0),r(n,t,u,"≎","\\Bumpeq",!0),r(n,t,u,"≧","\\geqq",!0),r(n,t,u,"⩾","\\geqslant",!0),r(n,t,u,"⪖","\\eqslantgtr",!0),r(n,t,u,"≳","\\gtrsim",!0),r(n,t,u,"⪆","\\gtrapprox",!0),r(n,t,o,"⋗","\\gtrdot"),r(n,t,u,"⋙","\\ggg",!0),r(n,t,u,"≷","\\gtrless",!0),r(n,t,u,"⋛","\\gtreqless",!0),r(n,t,u,"⪌","\\gtreqqless",!0),r(n,t,u,"≖","\\eqcirc",!0),r(n,t,u,"≗","\\circeq",!0),r(n,t,u,"≜","\\triangleq",!0),r(n,t,u,"∼","\\thicksim"),r(n,t,u,"≈","\\thickapprox"),r(n,t,u,"⫆","\\supseteqq",!0),r(n,t,u,"⋑","\\Supset",!0),r(n,t,u,"⊐","\\sqsupset",!0),r(n,t,u,"≽","\\succcurlyeq",!0),r(n,t,u,"⋟","\\curlyeqsucc",!0),r(n,t,u,"≿","\\succsim",!0),r(n,t,u,"⪸","\\succapprox",!0),r(n,t,u,"⊳","\\vartriangleright"),r(n,t,u,"⊵","\\trianglerighteq"),r(n,t,u,"⊩","\\Vdash",!0),r(n,t,u,"∣","\\shortmid"),r(n,t,u,"∥","\\shortparallel"),r(n,t,u,"≬","\\between",!0),r(n,t,u,"⋔","\\pitchfork",!0),r(n,t,u,"∝","\\varpropto"),r(n,t,u,"◀","\\blacktriangleleft"),r(n,t,u,"∴","\\therefore",!0),r(n,t,u,"∍","\\backepsilon"),r(n,t,u,"▶","\\blacktriangleright"),r(n,t,u,"∵","\\because",!0),r(n,t,u,"⋘","\\llless"),r(n,t,u,"⋙","\\gggtr"),r(n,t,o,"⊲","\\lhd"),r(n,t,o,"⊳","\\rhd"),r(n,t,u,"≂","\\eqsim",!0),r(n,a,u,"⋈","\\Join"),r(n,t,u,"≑","\\Doteq",!0),r(n,t,o,"∔","\\dotplus",!0),r(n,t,o,"∖","\\smallsetminus"),r(n,t,o,"⋒","\\Cap",!0),r(n,t,o,"⋓","\\Cup",!0),r(n,t,o,"⩞","\\doublebarwedge",!0),r(n,t,o,"⊟","\\boxminus",!0),r(n,t,o,"⊞","\\boxplus",!0),r(n,t,o,"⋇","\\divideontimes",!0),r(n,t,o,"⋉","\\ltimes",!0),r(n,t,o,"⋊","\\rtimes",!0),r(n,t,o,"⋋","\\leftthreetimes",!0),r(n,t,o,"⋌","\\rightthreetimes",!0),r(n,t,o,"⋏","\\curlywedge",!0),r(n,t,o,"⋎","\\curlyvee",!0),r(n,t,o,"⊝","\\circleddash",!0),r(n,t,o,"⊛","\\circledast",!0),r(n,t,o,"⋅","\\centerdot"),r(n,t,o,"⊺","\\intercal",!0),r(n,t,o,"⋒","\\doublecap"),r(n,t,o,"⋓","\\doublecup"),r(n,t,o,"⊠","\\boxtimes",!0),r(n,t,u,"⇢","\\dashrightarrow",!0),r(n,t,u,"⇠","\\dashleftarrow",!0),r(n,t,u,"⇇","\\leftleftarrows",!0),r(n,t,u,"⇆","\\leftrightarrows",!0),r(n,t,u,"⇚","\\Lleftarrow",!0),r(n,t,u,"↞","\\twoheadleftarrow",!0),r(n,t,u,"↢","\\leftarrowtail",!0),r(n,t,u,"↫","\\looparrowleft",!0),r(n,t,u,"⇋","\\leftrightharpoons",!0),r(n,t,u,"↶","\\curvearrowleft",!0),r(n,t,u,"↺","\\circlearrowleft",!0),r(n,t,u,"↰","\\Lsh",!0),r(n,t,u,"⇈","\\upuparrows",!0),r(n,t,u,"↿","\\upharpoonleft",!0),r(n,t,u,"⇃","\\downharpoonleft",!0),r(n,a,u,"⊶","\\origof",!0),r(n,a,u,"⊷","\\imageof",!0),r(n,t,u,"⊸","\\multimap",!0),r(n,t,u,"↭","\\leftrightsquigarrow",!0),r(n,t,u,"⇉","\\rightrightarrows",!0),r(n,t,u,"⇄","\\rightleftarrows",!0),r(n,t,u,"↠","\\twoheadrightarrow",!0),r(n,t,u,"↣","\\rightarrowtail",!0),r(n,t,u,"↬","\\looparrowright",!0),r(n,t,u,"↷","\\curvearrowright",!0),r(n,t,u,"↻","\\circlearrowright",!0),r(n,t,u,"↱","\\Rsh",!0),r(n,t,u,"⇊","\\downdownarrows",!0),r(n,t,u,"↾","\\upharpoonright",!0),r(n,t,u,"⇂","\\downharpoonright",!0),r(n,t,u,"⇝","\\rightsquigarrow",!0),r(n,t,u,"⇝","\\leadsto"),r(n,t,u,"⇛","\\Rrightarrow",!0),r(n,t,u,"↾","\\restriction"),r(n,a,f,"‘","`"),r(n,a,f,"$","\\$"),r(i,a,f,"$","\\$"),r(i,a,f,"$","\\textdollar"),r(n,a,f,"%","\\%"),r(i,a,f,"%","\\%"),r(n,a,f,"_","\\_"),r(i,a,f,"_","\\_"),r(i,a,f,"_","\\textunderscore"),r(n,a,f,"∠","\\angle",!0),r(n,a,f,"∞","\\infty",!0),r(n,a,f,"′","\\prime"),r(n,a,f,"△","\\triangle"),r(n,a,f,"Γ","\\Gamma",!0),r(n,a,f,"Δ","\\Delta",!0),r(n,a,f,"Θ","\\Theta",!0),r(n,a,f,"Λ","\\Lambda",!0),r(n,a,f,"Ξ","\\Xi",!0),r(n,a,f,"Π","\\Pi",!0),r(n,a,f,"Σ","\\Sigma",!0),r(n,a,f,"Υ","\\Upsilon",!0),r(n,a,f,"Φ","\\Phi",!0),r(n,a,f,"Ψ","\\Psi",!0),r(n,a,f,"Ω","\\Omega",!0),r(n,a,f,"A","Α"),r(n,a,f,"B","Β"),r(n,a,f,"E","Ε"),r(n,a,f,"Z","Ζ"),r(n,a,f,"H","Η"),r(n,a,f,"I","Ι"),r(n,a,f,"K","Κ"),r(n,a,f,"M","Μ"),r(n,a,f,"N","Ν"),r(n,a,f,"O","Ο"),r(n,a,f,"P","Ρ"),r(n,a,f,"T","Τ"),r(n,a,f,"X","Χ"),r(n,a,f,"¬","\\neg",!0),r(n,a,f,"¬","\\lnot"),r(n,a,f,"⊤","\\top"),r(n,a,f,"⊥","\\bot"),r(n,a,f,"∅","\\emptyset"),r(n,t,f,"∅","\\varnothing"),r(n,a,l,"α","\\alpha",!0),r(n,a,l,"β","\\beta",!0),r(n,a,l,"γ","\\gamma",!0),r(n,a,l,"δ","\\delta",!0),r(n,a,l,"ϵ","\\epsilon",!0),r(n,a,l,"ζ","\\zeta",!0),r(n,a,l,"η","\\eta",!0),r(n,a,l,"θ","\\theta",!0),r(n,a,l,"ι","\\iota",!0),r(n,a,l,"κ","\\kappa",!0),r(n,a,l,"λ","\\lambda",!0),r(n,a,l,"μ","\\mu",!0),r(n,a,l,"ν","\\nu",!0),r(n,a,l,"ξ","\\xi",!0),r(n,a,l,"ο","\\omicron",!0),r(n,a,l,"π","\\pi",!0),r(n,a,l,"ρ","\\rho",!0),r(n,a,l,"σ","\\sigma",!0),r(n,a,l,"τ","\\tau",!0),r(n,a,l,"υ","\\upsilon",!0),r(n,a,l,"ϕ","\\phi",!0),r(n,a,l,"χ","\\chi",!0),r(n,a,l,"ψ","\\psi",!0),r(n,a,l,"ω","\\omega",!0),r(n,a,l,"ε","\\varepsilon",!0),r(n,a,l,"ϑ","\\vartheta",!0),r(n,a,l,"ϖ","\\varpi",!0),r(n,a,l,"ϱ","\\varrho",!0),r(n,a,l,"ς","\\varsigma",!0),r(n,a,l,"φ","\\varphi",!0),r(n,a,o,"∗","*",!0),r(n,a,o,"+","+"),r(n,a,o,"−","-",!0),r(n,a,o,"⋅","\\cdot",!0),r(n,a,o,"∘","\\circ",!0),r(n,a,o,"÷","\\div",!0),r(n,a,o,"±","\\pm",!0),r(n,a,o,"×","\\times",!0),r(n,a,o,"∩","\\cap",!0),r(n,a,o,"∪","\\cup",!0),r(n,a,o,"∖","\\setminus",!0),r(n,a,o,"∧","\\land"),r(n,a,o,"∨","\\lor"),r(n,a,o,"∧","\\wedge",!0),r(n,a,o,"∨","\\vee",!0),r(n,a,f,"√","\\surd"),r(n,a,m,"⟨","\\langle",!0),r(n,a,m,"∣","\\lvert"),r(n,a,m,"∥","\\lVert"),r(n,a,s,"?","?"),r(n,a,s,"!","!"),r(n,a,s,"⟩","\\rangle",!0),r(n,a,s,"∣","\\rvert"),r(n,a,s,"∥","\\rVert"),r(n,a,u,"=","="),r(n,a,u,":",":"),r(n,a,u,"≈","\\approx",!0),r(n,a,u,"≅","\\cong",!0),r(n,a,u,"≥","\\ge"),r(n,a,u,"≥","\\geq",!0),r(n,a,u,"←","\\gets"),r(n,a,u,">","\\gt",!0),r(n,a,u,"∈","\\in",!0),r(n,a,u,"","\\@not"),r(n,a,u,"⊂","\\subset",!0),r(n,a,u,"⊃","\\supset",!0),r(n,a,u,"⊆","\\subseteq",!0),r(n,a,u,"⊇","\\supseteq",!0),r(n,t,u,"⊈","\\nsubseteq",!0),r(n,t,u,"⊉","\\nsupseteq",!0),r(n,a,u,"⊨","\\models"),r(n,a,u,"←","\\leftarrow",!0),r(n,a,u,"≤","\\le"),r(n,a,u,"≤","\\leq",!0),r(n,a,u,"<","\\lt",!0),r(n,a,u,"→","\\rightarrow",!0),r(n,a,u,"→","\\to"),r(n,t,u,"≱","\\ngeq",!0),r(n,t,u,"≰","\\nleq",!0),r(n,a,d," ","\\ "),r(n,a,d," ","\\space"),r(n,a,d," ","\\nobreakspace"),r(i,a,d," ","\\ "),r(i,a,d," "," "),r(i,a,d," ","\\space"),r(i,a,d," ","\\nobreakspace"),r(n,a,d,null,"\\nobreak"),r(n,a,d,null,"\\allowbreak"),r(n,a,c,",",","),r(n,a,c,";",";"),r(n,t,o,"⊼","\\barwedge",!0),r(n,t,o,"⊻","\\veebar",!0),r(n,a,o,"⊙","\\odot",!0),r(n,a,o,"⊕","\\oplus",!0),r(n,a,o,"⊗","\\otimes",!0),r(n,a,f,"∂","\\partial",!0),r(n,a,o,"⊘","\\oslash",!0),r(n,t,o,"⊚","\\circledcirc",!0),r(n,t,o,"⊡","\\boxdot",!0),r(n,a,o,"△","\\bigtriangleup"),r(n,a,o,"▽","\\bigtriangledown"),r(n,a,o,"†","\\dagger"),r(n,a,o,"⋄","\\diamond"),r(n,a,o,"⋆","\\star"),r(n,a,o,"◃","\\triangleleft"),r(n,a,o,"▹","\\triangleright"),r(n,a,m,"{","\\{"),r(i,a,f,"{","\\{"),r(i,a,f,"{","\\textbraceleft"),r(n,a,s,"}","\\}"),r(i,a,f,"}","\\}"),r(i,a,f,"}","\\textbraceright"),r(n,a,m,"{","\\lbrace"),r(n,a,s,"}","\\rbrace"),r(n,a,m,"[","\\lbrack",!0),r(i,a,f,"[","\\lbrack",!0),r(n,a,s,"]","\\rbrack",!0),r(i,a,f,"]","\\rbrack",!0),r(n,a,m,"(","\\lparen",!0),r(n,a,s,")","\\rparen",!0),r(i,a,f,"<","\\textless",!0),r(i,a,f,">","\\textgreater",!0),r(n,a,m,"⌊","\\lfloor",!0),r(n,a,s,"⌋","\\rfloor",!0),r(n,a,m,"⌈","\\lceil",!0),r(n,a,s,"⌉","\\rceil",!0),r(n,a,f,"\\","\\backslash"),r(n,a,f,"∣","|"),r(n,a,f,"∣","\\vert"),r(i,a,f,"|","\\textbar",!0),r(n,a,f,"∥","\\|"),r(n,a,f,"∥","\\Vert"),r(i,a,f,"∥","\\textbardbl"),r(i,a,f,"~","\\textasciitilde"),r(i,a,f,"\\","\\textbackslash"),r(i,a,f,"^","\\textasciicircum"),r(n,a,u,"↑","\\uparrow",!0),r(n,a,u,"⇑","\\Uparrow",!0),r(n,a,u,"↓","\\downarrow",!0),r(n,a,u,"⇓","\\Downarrow",!0),r(n,a,u,"↕","\\updownarrow",!0),r(n,a,u,"⇕","\\Updownarrow",!0),r(n,a,h,"∐","\\coprod"),r(n,a,h,"⋁","\\bigvee"),r(n,a,h,"⋀","\\bigwedge"),r(n,a,h,"⨄","\\biguplus"),r(n,a,h,"⋂","\\bigcap"),r(n,a,h,"⋃","\\bigcup"),r(n,a,h,"∫","\\int"),r(n,a,h,"∫","\\intop"),r(n,a,h,"∬","\\iint"),r(n,a,h,"∭","\\iiint"),r(n,a,h,"∏","\\prod"),r(n,a,h,"∑","\\sum"),r(n,a,h,"⨂","\\bigotimes"),r(n,a,h,"⨁","\\bigoplus"),r(n,a,h,"⨀","\\bigodot"),r(n,a,h,"∮","\\oint"),r(n,a,h,"∯","\\oiint"),r(n,a,h,"∰","\\oiiint"),r(n,a,h,"⨆","\\bigsqcup"),r(n,a,h,"∫","\\smallint"),r(i,a,Ve,"…","\\textellipsis"),r(n,a,Ve,"…","\\mathellipsis"),r(i,a,Ve,"…","\\ldots",!0),r(n,a,Ve,"…","\\ldots",!0),r(n,a,Ve,"⋯","\\@cdots",!0),r(n,a,Ve,"⋱","\\ddots",!0),r(n,a,f,"⋮","\\varvdots"),r(n,a,e,"ˊ","\\acute"),r(n,a,e,"ˋ","\\grave"),r(n,a,e,"¨","\\ddot"),r(n,a,e,"~","\\tilde"),r(n,a,e,"ˉ","\\bar"),r(n,a,e,"˘","\\breve"),r(n,a,e,"ˇ","\\check"),r(n,a,e,"^","\\hat"),r(n,a,e,"⃗","\\vec"),r(n,a,e,"˙","\\dot"),r(n,a,e,"˚","\\mathring"),r(n,a,l,"","\\@imath"),r(n,a,l,"","\\@jmath"),r(n,a,f,"ı","ı"),r(n,a,f,"ȷ","ȷ"),r(i,a,f,"ı","\\i",!0),r(i,a,f,"ȷ","\\j",!0),r(i,a,f,"ß","\\ss",!0),r(i,a,f,"æ","\\ae",!0),r(i,a,f,"œ","\\oe",!0),r(i,a,f,"ø","\\o",!0),r(i,a,f,"Æ","\\AE",!0),r(i,a,f,"Œ","\\OE",!0),r(i,a,f,"Ø","\\O",!0),r(i,a,e,"ˊ","\\'"),r(i,a,e,"ˋ","\\`"),r(i,a,e,"ˆ","\\^"),r(i,a,e,"˜","\\~"),r(i,a,e,"ˉ","\\="),r(i,a,e,"˘","\\u"),r(i,a,e,"˙","\\."),r(i,a,e,"¸","\\c"),r(i,a,e,"˚","\\r"),r(i,a,e,"ˇ","\\v"),r(i,a,e,"¨",'\\"'),r(i,a,e,"˝","\\H"),r(i,a,e,"◯","\\textcircled"),{"--":!0,"---":!0,"``":!0,"''":!0});r(i,a,f,"–","--",!0),r(i,a,f,"–","\\textendash"),r(i,a,f,"—","---",!0),r(i,a,f,"—","\\textemdash"),r(i,a,f,"‘","`",!0),r(i,a,f,"‘","\\textquoteleft"),r(i,a,f,"’","'",!0),r(i,a,f,"’","\\textquoteright"),r(i,a,f,"“","``",!0),r(i,a,f,"“","\\textquotedblleft"),r(i,a,f,"”","''",!0),r(i,a,f,"”","\\textquotedblright"),r(n,a,f,"°","\\degree",!0),r(i,a,f,"°","\\degree"),r(i,a,f,"°","\\textdegree",!0),r(n,a,f,"£","\\pounds"),r(n,a,f,"£","\\mathsterling",!0),r(i,a,f,"£","\\pounds"),r(i,a,f,"£","\\textsterling",!0),r(n,t,f,"✠","\\maltese"),r(i,t,f,"✠","\\maltese");for(var Ue='0123456789/@."',Ye=0;Ye<Ue.length;Ye++){var Xe=Ue.charAt(Ye);r(n,a,f,Xe,Xe)}for(var We='0123456789!@*()-=+";:?/.,',je=0;je<We.length;je++){var _e=We.charAt(je);r(i,a,f,_e,_e)}for(var $e="ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz",Ze=0;Ze<$e.length;Ze++){var Ke=$e.charAt(Ze);r(n,a,l,Ke,Ke),r(i,a,f,Ke,Ke)}r(n,t,f,"C","ℂ"),r(i,t,f,"C","ℂ"),r(n,t,f,"H","ℍ"),r(i,t,f,"H","ℍ"),r(n,t,f,"N","ℕ"),r(i,t,f,"N","ℕ"),r(n,t,f,"P","ℙ"),r(i,t,f,"P","ℙ"),r(n,t,f,"Q","ℚ"),r(i,t,f,"Q","ℚ"),r(n,t,f,"R","ℝ"),r(i,t,f,"R","ℝ"),r(n,t,f,"Z","ℤ"),r(i,t,f,"Z","ℤ"),r(n,a,l,"h","ℎ"),r(i,a,l,"h","ℎ");for(var g="",y=0;y<$e.length;y++){var x=$e.charAt(y);r(n,a,l,x,g=String.fromCharCode(55349,56320+y)),r(i,a,f,x,g),r(n,a,l,x,g=String.fromCharCode(55349,56372+y)),r(i,a,f,x,g),r(n,a,l,x,g=String.fromCharCode(55349,56424+y)),r(i,a,f,x,g),r(n,a,l,x,g=String.fromCharCode(55349,56580+y)),r(i,a,f,x,g),r(n,a,l,x,g=String.fromCharCode(55349,56736+y)),r(i,a,f,x,g),r(n,a,l,x,g=String.fromCharCode(55349,56788+y)),r(i,a,f,x,g),r(n,a,l,x,g=String.fromCharCode(55349,56840+y)),r(i,a,f,x,g),r(n,a,l,x,g=String.fromCharCode(55349,56944+y)),r(i,a,f,x,g),y<26&&(r(n,a,l,x,g=String.fromCharCode(55349,56632+y)),r(i,a,f,x,g),r(n,a,l,x,g=String.fromCharCode(55349,56476+y)),r(i,a,f,x,g))}r(n,a,l,"k",g=String.fromCharCode(55349,56668)),r(i,a,f,"k",g);for(var Je=0;Je<10;Je++){var Qe=Je.toString();r(n,a,l,Qe,g=String.fromCharCode(55349,57294+Je)),r(i,a,f,Qe,g),r(n,a,l,Qe,g=String.fromCharCode(55349,57314+Je)),r(i,a,f,Qe,g),r(n,a,l,Qe,g=String.fromCharCode(55349,57324+Je)),r(i,a,f,Qe,g),r(n,a,l,Qe,g=String.fromCharCode(55349,57334+Je)),r(i,a,f,Qe,g)}for(var et=0;et<"ÐÞþ".length;et++){var tt="ÐÞþ".charAt(et);r(n,a,l,tt,tt),r(i,a,f,tt,tt)}function rt(e,t,r){return{value:e=p[r][e]&&p[r][e].replace?p[r][e].replace:e,metrics:he(e,t,r)}}function nt(e,t,r,n,i){var a=rt(e,t,r),o=a.metrics;return e=a.value,a=o?(a=o.italic,("text"===r||n&&"mathit"===n.font)&&(a=0),new b(e,o.height,o.depth,a,o.skew,o.width,i)):("undefined"!=typeof console&&console.warn("No character metrics for '"+e+"' in style '"+t+"' and mode '"+r+"'"),new b(e,0,0,0,0,0,i)),n&&(a.maxFontSize=n.sizeMultiplier,n.style.isTight()&&a.classes.push("mtight"),(o=n.getColor())&&(a.style.color=o)),a}function it(e){for(var t=0,r=0,n=0,i=0;i<e.children.length;i++){var a=e.children[i];a.height>t&&(t=a.height),a.depth>r&&(r=a.depth),a.maxFontSize>n&&(n=a.maxFontSize)}e.height=t,e.depth=r,e.maxFontSize=n}function v(e,t,r,n){return e=new Se(e,t,r,n),it(e),e}function at(e,t,r,n){return new Se(e,t,r,n)}function ot(e){return e=new ie(e),it(e),e}function st(e,t,r){var n="";switch(e){case"amsrm":n="AMS";break;case"textrm":n="Main";break;case"textsf":n="SansSerif";break;case"texttt":n="Typewriter";break;default:n=e}return n+"-"+("textbf"===t&&"textit"===r?"BoldItalic":"textbf"===t?"Bold":"textit"===t?"Italic":"Regular")}var lt=[["mathbf","textbf","Main-Bold"],["mathbf","textbf","Main-Bold"],["mathnormal","textit","Math-Italic"],["mathnormal","textit","Math-Italic"],["boldsymbol","boldsymbol","Main-BoldItalic"],["boldsymbol","boldsymbol","Main-BoldItalic"],["mathscr","textscr","Script-Regular"],["","",""],["","",""],["","",""],["mathfrak","textfrak","Fraktur-Regular"],["mathfrak","textfrak","Fraktur-Regular"],["mathbb","textbb","AMS-Regular"],["mathbb","textbb","AMS-Regular"],["","",""],["","",""],["mathsf","textsf","SansSerif-Regular"],["mathsf","textsf","SansSerif-Regular"],["mathboldsf","textboldsf","SansSerif-Bold"],["mathboldsf","textboldsf","SansSerif-Bold"],["mathitsf","textitsf","SansSerif-Italic"],["mathitsf","textitsf","SansSerif-Italic"],["","",""],["","",""],["mathtt","texttt","Typewriter-Regular"],["mathtt","texttt","Typewriter-Regular"]],ht=[["mathbf","textbf","Main-Bold"],["","",""],["mathsf","textsf","SansSerif-Regular"],["mathboldsf","textboldsf","SansSerif-Bold"],["mathtt","texttt","Typewriter-Regular"]],mt={mathbf:{variant:"bold",fontName:"Main-Bold"},mathrm:{variant:"normal",fontName:"Main-Regular"},textit:{variant:"italic",fontName:"Main-Italic"},mathit:{variant:"italic",fontName:"Main-Italic"},mathnormal:{variant:"italic",fontName:"Math-Italic"},mathbb:{variant:"double-struck",fontName:"AMS-Regular"},mathcal:{variant:"script",fontName:"Caligraphic-Regular"},mathfrak:{variant:"fraktur",fontName:"Fraktur-Regular"},mathscr:{variant:"script",fontName:"Script-Regular"},mathsf:{variant:"sans-serif",fontName:"SansSerif-Regular"},mathtt:{variant:"monospace",fontName:"Typewriter-Regular"}},ct={vec:["vec",.471,.714],oiintSize1:["oiintSize1",.957,.499],oiintSize2:["oiintSize2",1.472,.659],oiiintSize1:["oiiintSize1",1.304,.499],oiiintSize2:["oiiintSize2",1.98,.659]},ee={fontMap:mt,makeSymbol:nt,mathsym:function(e,t,r,n){return void 0===n&&(n=[]),"boldsymbol"===r.font&&rt(e,"Main-Bold",t).metrics?nt(e,"Main-Bold",t,r,n.concat(["mathbf"])):"\\"===e||"main"===p[t][e].font?nt(e,"Main-Regular",t,r,n):nt(e,"AMS-Regular",t,r,n.concat(["amsrm"]))},makeSpan:v,makeSvgSpan:at,makeLineSpan:function(e,t,r){e=v([e],[],t);return e.height=Math.max(r||t.fontMetrics().defaultRuleThickness,t.minRuleThickness),e.style.borderBottomWidth=Q(e.height),e.maxFontSize=1,e},makeAnchor:function(e,t,r,n){e=new Me(e,t,r,n);return it(e),e},makeFragment:ot,wrapFragment:function(e,t){return e instanceof ie?v([],[e],t):e},makeVList:function(e,t){for(var e=function(e){if("individualShift"===e.positionType){for(var t=e.children,r=[t[0]],n=-t[0].shift-t[0].elem.depth,i=n,a=1;a<t.length;a++){var o=-t[a].shift-i-t[a].elem.depth,s=o-(t[a-1].elem.height+t[a-1].elem.depth);i+=o,r.push({type:"kern",size:s}),r.push(t[a])}return{children:r,depth:n}}var l;if("top"===e.positionType){for(var h=e.positionData,m=0;m<e.children.length;m++){var c=e.children[m];h-="kern"===c.type?c.size:c.elem.height+c.elem.depth}l=h}else if("bottom"===e.positionType)l=-e.positionData;else{n=e.children[0];if("elem"!==n.type)throw new Error('First child must have type "elem".');if("shift"===e.positionType)l=-n.elem.depth-e.positionData;else{if("firstBaseline"!==e.positionType)throw new Error("Invalid positionType "+e.positionType+".");l=-n.elem.depth}}return{children:e.children,depth:l}}(e),r=e.children,e=e.depth,n=0,i=0;i<r.length;i++){var a=r[i];"elem"===a.type&&(a=a.elem,n=Math.max(n,a.maxFontSize,a.height))}n+=2;var o=v(["pstrut"],[]);o.style.height=Q(n);for(var s=[],l=e,h=e,m=e,c=0;c<r.length;c++){var u,p,d,f=r[c];"kern"===f.type?m+=f.size:(u=f.elem,d=f.wrapperClasses||[],p=f.wrapperStyle||{},(d=v(d,[o,u],void 0,p)).style.top=Q(-n-m-u.depth),f.marginLeft&&(d.style.marginLeft=f.marginLeft),f.marginRight&&(d.style.marginRight=f.marginRight),s.push(d),m+=u.height+u.depth),l=Math.min(l,m),h=Math.max(h,m)}var g,e=v(["vlist"],s),y=(e.style.height=Q(h),g=l<0?(y=v([],[]),(y=v(["vlist"],[y])).style.height=Q(-l),g=v(["vlist-s"],[new b("​")]),[v(["vlist-r"],[e,g]),v(["vlist-r"],[y])]):[v(["vlist-r"],[e])],v(["vlist-t"],g));return 2===g.length&&y.classes.push("vlist-t2"),y.height=h,y.depth=-l,y},makeOrd:function(e,t,r){var n,i,a=e.mode,o=e.text,s=["mord"],e="math"===a||"text"===a&&t.font,l=e?t.font:t.fontFamily;if(55349===o.charCodeAt(0))return c=(u=function(e,t){var r,n=1024*(e.charCodeAt(0)-55296)+(e.charCodeAt(1)-56320)+65536,t="math"===t?0:1;if(119808<=n&&n<120484)return r=Math.floor((n-119808)/26),[lt[r][2],lt[r][t]];if(120782<=n&&n<=120831)return r=Math.floor((n-120782)/10),[ht[r][2],ht[r][t]];if(120485==n||120486==n)return[lt[0][2],lt[0][t]];if(120486<n&&n<120782)return["",""];throw new $("Unsupported character: "+e)}(o,a))[0],u=u[1],nt(o,c,a,t,s.concat(u));if(l){if(i="boldsymbol"===l?(n=(c="textord"!==r&&rt(o,"Math-BoldItalic",a).metrics?{fontName:"Math-BoldItalic",fontClass:"boldsymbol"}:{fontName:"Main-Bold",fontClass:"mathbf"}).fontName,[c.fontClass]):e?(n=mt[l].fontName,[l]):(n=st(l,t.fontWeight,t.fontShape),[l,t.fontWeight,t.fontShape]),rt(o,n,a).metrics)return nt(o,n,a,t,s.concat(i));if(Ge.hasOwnProperty(o)&&"Typewriter"===n.substr(0,10)){for(var h=[],m=0;m<o.length;m++)h.push(nt(o[m],n,a,t,s.concat(i)));return ot(h)}}if("mathord"===r)return nt(o,"Math-Italic",a,t,s.concat(["mathnormal"]));if("textord"!==r)throw new Error("unexpected type: "+r+" in makeOrd");var c,u=p[a][o]&&p[a][o].font;if("ams"===u)return c=st("amsrm",t.fontWeight,t.fontShape),nt(o,c,a,t,s.concat("amsrm",t.fontWeight,t.fontShape));if("main"!==u&&u)return e=st(u,t.fontWeight,t.fontShape),nt(o,e,a,t,s.concat(e,t.fontWeight,t.fontShape));l=st("textrm",t.fontWeight,t.fontShape);return nt(o,l,a,t,s.concat(t.fontWeight,t.fontShape))},makeGlue:function(e,t){var r=v(["mspace"],[],t),e=J(e,t);return r.style.marginRight=Q(e),r},staticSvg:function(e,t){var e=ct[e],r=e[0],n=e[1],e=e[2],r=new Be(r),r=new Te([r],{width:Q(n),height:Q(e),style:"width:"+Q(n),viewBox:"0 0 "+1e3*n+" "+1e3*e,preserveAspectRatio:"xMinYMin"}),r=at(["overlay"],[r],t);return r.height=e,r.style.height=Q(e),r.style.width=Q(n),r},svgData:ct,tryCombineChars:function(e){for(var t=0;t<e.length-1;t++){var r=e[t],n=e[t+1];r instanceof b&&n instanceof b&&function(e,t){if(ge(e.classes)!==ge(t.classes)||e.skew!==t.skew||e.maxFontSize!==t.maxFontSize)return!1;if(1===e.classes.length){var r=e.classes[0];if("mbin"===r||"mord"===r)return!1}for(var n in e.style)if(e.style.hasOwnProperty(n)&&e.style[n]!==t.style[n])return!1;for(var i in t.style)if(t.style.hasOwnProperty(i)&&e.style[i]!==t.style[i])return!1;return!0}(r,n)&&(r.text+=n.text,r.height=Math.max(r.height,n.height),r.depth=Math.max(r.depth,n.depth),r.italic=n.italic,e.splice(t+1,1),t--)}return e}},d={number:3,unit:"mu"},c={number:4,unit:"mu"},o={number:5,unit:"mu"},ut={mord:{mop:d,mbin:c,mrel:o,minner:d},mop:{mord:d,mop:d,mrel:o,minner:d},mbin:{mord:c,mop:c,mopen:c,minner:c},mrel:{mord:o,mop:o,mopen:o,minner:o},mopen:{},mclose:{mop:d,mbin:c,mrel:o,minner:d},mpunct:{mord:d,mop:d,mrel:o,mopen:d,mclose:d,mpunct:d,minner:d},minner:{mord:d,mop:d,mbin:c,mrel:o,mopen:d,mpunct:d,minner:d}},pt={mord:{mop:d},mop:{mord:d,mop:d},mbin:{},mrel:{},mopen:{},mclose:{mop:d},mpunct:{},minner:{mop:d}},dt={},ft={},gt={};function w(e){for(var t=e.type,r=e.names,n=e.props,i=e.handler,a=e.htmlBuilder,e=e.mathmlBuilder,o={type:t,numArgs:n.numArgs,argTypes:n.argTypes,allowedInArgument:!!n.allowedInArgument,allowedInText:!!n.allowedInText,allowedInMath:void 0===n.allowedInMath||n.allowedInMath,numOptionalArgs:n.numOptionalArgs||0,infix:!!n.infix,primitive:!!n.primitive,handler:i},s=0;s<r.length;++s)dt[r[s]]=o;t&&(a&&(ft[t]=a),e&&(gt[t]=e))}function yt(e){w({type:e.type,names:[],props:{numArgs:0},handler:function(){throw new Error("Should never be called.")},htmlBuilder:e.htmlBuilder,mathmlBuilder:e.mathmlBuilder})}function bt(e){return"ordgroup"===e.type&&1===e.body.length?e.body[0]:e}function k(e){return"ordgroup"===e.type?e.body:[e]}function te(e,t,r,n){void 0===n&&(n=[null,null]);for(var i=[],a=0;a<e.length;a++){var o,s=re(e[a],t);s instanceof ie?(o=s.children,i.push.apply(i,o)):i.push(s)}if(ee.tryCombineChars(i),!r)return i;var l=t,h=(1===e.length&&("sizing"===(h=e[0]).type?l=t.havingSize(h.size):"styling"===h.type&&(l=t.havingStyle(Mt[h.style]))),wt([n[0]||"leftmost"],[],t)),n=wt([n[1]||"rightmost"],[],t);return At(i,function(e,t){var r=t.classes[0],n=e.classes[0];"mbin"===r&&Z.contains(St,n)?t.classes[0]="mord":"mbin"===n&&Z.contains(kt,r)&&(e.classes[0]="mord")},{node:h},n,r="root"===r),At(i,function(e,t){var t=Bt(t),r=Bt(e),e=t&&r?(e.hasClass("mtight")?pt:ut)[t][r]:null;if(e)return ee.makeGlue(e,l)},{node:h},n,r),i}function xt(e,t){var r=Tt(e);if(r){r=r.children;if(r.length){if("right"===t)return xt(r[r.length-1],"right");if("left"===t)return xt(r[0],"left")}}return e}function vt(e,t){return e=["nulldelimiter"].concat(e.baseSizingClasses()),wt(t.concat(e))}var wt=ee.makeSpan,kt=["leftmost","mbin","mopen","mrel","mop","mpunct"],St=["rightmost","mrel","mclose","mpunct"],Mt={display:K.DISPLAY,text:K.TEXT,script:K.SCRIPT,scriptscript:K.SCRIPTSCRIPT},zt={mord:"mord",mop:"mop",mbin:"mbin",mrel:"mrel",mopen:"mopen",mclose:"mclose",mpunct:"mpunct",minner:"minner"},At=function e(r,t,n,i,a){i&&r.push(i);for(var o=0;o<r.length;o++){var s,l=r[o],h=Tt(l);h?e(h.children,t,n,null,a):((h=!l.hasClass("mspace"))&&(s=t(l,n.node))&&(n.insertAfter?n.insertAfter(s):(r.unshift(s),o++)),h?n.node=l:a&&l.hasClass("newline")&&(n.node=wt(["leftmost"])),n.insertAfter=function(t){return function(e){r.splice(t+1,0,e),o++}}(o))}i&&r.pop()},Tt=function(e){return e instanceof ie||e instanceof Me||e instanceof Se&&e.hasClass("enclosing")?e:null},Bt=function(e,t){return e?(t&&(e=xt(e,t)),zt[e.classes[0]]||null):null},re=function(e,t,r){if(!e)return wt();var n;if(ft[e.type])return n=ft[e.type](e,t),r&&t.size!==r.size&&(n=wt(t.sizingClasses(r),[n],t),t=t.sizeMultiplier/r.sizeMultiplier,n.height*=t,n.depth*=t),n;throw new $("Got group of unknown type: '"+e.type+"'")};function Ct(e,t){e=wt(["base"],e,t),t=wt(["strut"]);return t.style.height=Q(e.height+e.depth),e.depth&&(t.style.verticalAlign=Q(-e.depth)),e.children.unshift(t),e}function Nt(e,t){var r=null;1===e.length&&"tag"===e[0].type&&(r=e[0].tag,e=e[0].body);var n,i=te(e,t,"root");2===i.length&&i[1].hasClass("tag")&&(n=i.pop());for(var a,o=[],s=[],l=0;l<i.length;l++)if(s.push(i[l]),i[l].hasClass("mbin")||i[l].hasClass("mrel")||i[l].hasClass("allowbreak")){for(var h=!1;l<i.length-1&&i[l+1].hasClass("mspace")&&!i[l+1].hasClass("newline");)l++,s.push(i[l]),i[l].hasClass("nobreak")&&(h=!0);h||(o.push(Ct(s,t)),s=[])}else i[l].hasClass("newline")&&(s.pop(),0<s.length&&(o.push(Ct(s,t)),s=[]),o.push(i[l]));0<s.length&&o.push(Ct(s,t)),r?((a=Ct(te(r,t,!0))).classes=["tag"],o.push(a)):n&&o.push(n);e=wt(["katex-html"],o);return e.setAttribute("aria-hidden","true"),a&&((r=a.children[0]).style.height=Q(e.height+e.depth),e.depth&&(r.style.verticalAlign=Q(-e.depth))),e}function qt(e){return new ie(e)}function It(e,t,r){return!p[t][e]||!p[t][e].replace||55349===e.charCodeAt(0)||Ge.hasOwnProperty(e)&&r&&(r.fontFamily&&"tt"===r.fontFamily.substr(4,2)||r.font&&"tt"===r.font.substr(4,2))||(e=p[t][e].replace),new M.TextNode(e)}function Ot(e){return 1===e.length?e[0]:new M.MathNode("mrow",e)}function Rt(e,t){if("texttt"===t.fontFamily)return"monospace";if("textsf"===t.fontFamily)return"textit"===t.fontShape&&"textbf"===t.fontWeight?"sans-serif-bold-italic":"textit"===t.fontShape?"sans-serif-italic":"textbf"===t.fontWeight?"bold-sans-serif":"sans-serif";if("textit"===t.fontShape&&"textbf"===t.fontWeight)return"bold-italic";if("textit"===t.fontShape)return"italic";if("textbf"===t.fontWeight)return"bold";if(!(t=t.font)||"mathnormal"===t)return null;var r=e.mode;return"mathit"===t?"italic":"boldsymbol"===t?"textord"===e.type?"bold":"bold-italic":"mathbf"===t?"bold":"mathbb"===t?"double-struck":"mathfrak"===t?"fraktur":"mathscr"===t||"mathcal"===t?"script":"mathsf"===t?"sans-serif":"mathtt"===t?"monospace":(e=e.text,Z.contains(["\\imath","\\jmath"],e)?null:he(e=p[r][e]&&p[r][e].replace?p[r][e].replace:e,ee.fontMap[t].fontName,r)?ee.fontMap[t].variant:null)}function S(e,t,r){var n;if(1===e.length)return n=z(e[0],t),r&&n instanceof Ht&&"mo"===n.type&&(n.setAttribute("lspace","0em"),n.setAttribute("rspace","0em")),[n];for(var i,a=[],o=0;o<e.length;o++){var s,l,h=z(e[o],t);if(h instanceof Ht&&i instanceof Ht){if("mtext"===h.type&&"mtext"===i.type&&h.getAttribute("mathvariant")===i.getAttribute("mathvariant")){(s=i.children).push.apply(s,h.children);continue}if("mn"===h.type&&"mn"===i.type){(s=i.children).push.apply(s,h.children);continue}if("mi"===h.type&&1===h.children.length&&"mn"===i.type){var m=h.children[0];if(m instanceof Lt&&"."===m.text){(m=i.children).push.apply(m,h.children);continue}}else"mi"===i.type&&1===i.children.length&&(m=i.children[0])instanceof Lt&&"̸"===m.text&&("mo"===h.type||"mi"===h.type||"mn"===h.type)&&(l=h.children[0])instanceof Lt&&0<l.text.length&&(l.text=l.text.slice(0,1)+"̸"+l.text.slice(1),a.pop())}a.push(h),i=h}return a}function Et(e,t,r){return Ot(S(e,t,r))}(m=Ft.prototype).setAttribute=function(e,t){this.attributes[e]=t},m.getAttribute=function(e){return this.attributes[e]},m.toNode=function(){var e,t=document.createElementNS("http://www.w3.org/1998/Math/MathML",this.type);for(e in this.attributes)Object.prototype.hasOwnProperty.call(this.attributes,e)&&t.setAttribute(e,this.attributes[e]);0<this.classes.length&&(t.className=ge(this.classes));for(var r=0;r<this.children.length;r++)t.appendChild(this.children[r].toNode());return t},m.toMarkup=function(){var e,t="<"+this.type;for(e in this.attributes)Object.prototype.hasOwnProperty.call(this.attributes,e)&&(t+=" "+e+'="',t+=Z.escape(this.attributes[e]),t+='"');0<this.classes.length&&(t+=' class ="'+Z.escape(ge(this.classes))+'"'),t+=">";for(var r=0;r<this.children.length;r++)t+=this.children[r].toMarkup();return t+("</"+this.type)+">"},m.toText=function(){return this.children.map(function(e){return e.toText()}).join("")};var Ht=Ft,Lt=((s=Pt.prototype).toNode=function(){return document.createTextNode(this.text)},s.toMarkup=function(){return Z.escape(this.toText())},s.toText=function(){return this.text},Pt),M={MathNode:Ht,TextNode:Lt,SpaceNode:((u=Dt.prototype).toNode=function(){if(this.character)return document.createTextNode(this.character);var e=document.createElementNS("http://www.w3.org/1998/Math/MathML","mspace");return e.setAttribute("width",Q(this.width)),e},u.toMarkup=function(){return this.character?"<mtext>"+this.character+"</mtext>":'<mspace width="'+Q(this.width)+'"/>'},u.toText=function(){return this.character||" "},Dt),newDocumentFragment:qt},z=function(e,t){if(!e)return new M.MathNode("mrow");if(gt[e.type])return gt[e.type](e,t);throw new $("Got group of unknown type: '"+e.type+"'")};function Dt(e){this.width=void 0,this.character=void 0,this.width=e,this.character=.05555<=e&&e<=.05556?" ":.1666<=e&&e<=.1667?" ":.2222<=e&&e<=.2223?" ":.2777<=e&&e<=.2778?"  ":-.05556<=e&&e<=-.05555?" ⁣":-.1667<=e&&e<=-.1666?" ⁣":-.2223<=e&&e<=-.2222?" ⁣":-.2778<=e&&e<=-.2777?" ⁣":null}function Pt(e){this.text=void 0,this.text=e}function Ft(e,t,r){this.type=void 0,this.attributes=void 0,this.children=void 0,this.classes=void 0,this.type=e,this.attributes={},this.children=t||[],this.classes=r||[]}function Vt(e,t,r,n,i){e=S(e,r),r=1===e.length&&e[0]instanceof Ht&&Z.contains(["mrow","mtable"],e[0].type)?e[0]:new M.MathNode("mrow",e),e=new M.MathNode("annotation",[new M.TextNode(t)]),e.setAttribute("encoding","application/x-tex"),t=new M.MathNode("semantics",[r,e]),r=new M.MathNode("math",[t]);return r.setAttribute("xmlns","http://www.w3.org/1998/Math/MathML"),n&&r.setAttribute("display","block"),ee.makeSpan([i?"katex":"katex-mathml"],[r])}function Gt(e){return(e=new M.MathNode("mo",[new M.TextNode(Wt[e.replace(/^\\/,"")])])).setAttribute("stretchy","true"),e}function Ut(f,g){var e=(r=function(){var e,t=4e5,r=f.label.substr(1);if(Z.contains(["widehat","widecheck","widetilde","utilde"],r))return a=5<(a="ordgroup"===(a=f.base).type?a.body.length:1)?"widehat"===r||"widecheck"===r?(s=420,t=2364,e=.42,r+"4"):(s=312,t=2340,e=.34,"tilde4"):(a=[1,1,2,2,3,3][a],"widehat"===r||"widecheck"===r?(t=[0,1062,2364,2364,2364][a],s=[0,239,300,360,420][a],e=[0,.24,.3,.3,.36,.42][a],r+a):(t=[0,600,1033,2339,2340][a],s=[0,260,286,306,312][a],e=[0,.26,.286,.3,.306,.34][a],"tilde"+a)),a=new Be(a),a=new Te([a],{width:"100%",height:Q(e),viewBox:"0 0 "+t+" "+s,preserveAspectRatio:"none"}),{span:ee.makeSvgSpan([],[a],g),minWidth:0,height:e};var n,i,a,o=[],s=jt[r],l=s[0],h=s[1],m=s[2],c=m/1e3,u=l.length;if(1===u)n=["hide-tail"],i=[s[3]];else if(2===u)n=["halfarrow-left","halfarrow-right"],i=["xMinYMin","xMaxYMin"];else{if(3!==u)throw new Error("Correct katexImagesData or update code here to support\n                    "+u+" children.");n=["brace-left","brace-center","brace-right"],i=["xMinYMin","xMidYMin","xMaxYMin"]}for(var p=0;p<u;p++){var d=new Be(l[p]),d=new Te([d],{width:"400em",height:Q(c),viewBox:"0 0 "+t+" "+m,preserveAspectRatio:i[p]+" slice"}),d=ee.makeSvgSpan([n[p]],[d],g);if(1===u)return{span:d,minWidth:h,height:c};d.style.height=Q(c),o.push(d)}return{span:ee.makeSpan(["stretchy"],o,g),minWidth:h,height:c}}()).span,t=r.minWidth,r=r.height;return e.height=r,e.style.height=Q(r),0<t&&(e.style.minWidth=Q(t)),e}var Yt=function(e){return new ve({style:e.displayMode?K.DISPLAY:K.TEXT,maxSize:e.maxSize,minRuleThickness:e.minRuleThickness})},Xt=function(e,t){var r;return t.displayMode&&(r=["katex-display"],t.leqno&&r.push("leqno"),t.fleqn&&r.push("fleqn"),e=ee.makeSpan(r,[e])),e},Wt={widehat:"^",widecheck:"ˇ",widetilde:"~",utilde:"~",overleftarrow:"←",underleftarrow:"←",xleftarrow:"←",overrightarrow:"→",underrightarrow:"→",xrightarrow:"→",underbrace:"⏟",overbrace:"⏞",overgroup:"⏠",undergroup:"⏡",overleftrightarrow:"↔",underleftrightarrow:"↔",xleftrightarrow:"↔",Overrightarrow:"⇒",xRightarrow:"⇒",overleftharpoon:"↼",xleftharpoonup:"↼",overrightharpoon:"⇀",xrightharpoonup:"⇀",xLeftarrow:"⇐",xLeftrightarrow:"⇔",xhookleftarrow:"↩",xhookrightarrow:"↪",xmapsto:"↦",xrightharpoondown:"⇁",xleftharpoondown:"↽",xrightleftharpoons:"⇌",xleftrightharpoons:"⇋",xtwoheadleftarrow:"↞",xtwoheadrightarrow:"↠",xlongequal:"=",xtofrom:"⇄",xrightleftarrows:"⇄",xrightequilibrium:"⇌",xleftequilibrium:"⇋","\\cdrightarrow":"→","\\cdleftarrow":"←","\\cdlongequal":"="},jt={overrightarrow:[["rightarrow"],.888,522,"xMaxYMin"],overleftarrow:[["leftarrow"],.888,522,"xMinYMin"],underrightarrow:[["rightarrow"],.888,522,"xMaxYMin"],underleftarrow:[["leftarrow"],.888,522,"xMinYMin"],xrightarrow:[["rightarrow"],1.469,522,"xMaxYMin"],"\\cdrightarrow":[["rightarrow"],3,522,"xMaxYMin"],xleftarrow:[["leftarrow"],1.469,522,"xMinYMin"],"\\cdleftarrow":[["leftarrow"],3,522,"xMinYMin"],Overrightarrow:[["doublerightarrow"],.888,560,"xMaxYMin"],xRightarrow:[["doublerightarrow"],1.526,560,"xMaxYMin"],xLeftarrow:[["doubleleftarrow"],1.526,560,"xMinYMin"],overleftharpoon:[["leftharpoon"],.888,522,"xMinYMin"],xleftharpoonup:[["leftharpoon"],.888,522,"xMinYMin"],xleftharpoondown:[["leftharpoondown"],.888,522,"xMinYMin"],overrightharpoon:[["rightharpoon"],.888,522,"xMaxYMin"],xrightharpoonup:[["rightharpoon"],.888,522,"xMaxYMin"],xrightharpoondown:[["rightharpoondown"],.888,522,"xMaxYMin"],xlongequal:[["longequal"],.888,334,"xMinYMin"],"\\cdlongequal":[["longequal"],3,334,"xMinYMin"],xtwoheadleftarrow:[["twoheadleftarrow"],.888,334,"xMinYMin"],xtwoheadrightarrow:[["twoheadrightarrow"],.888,334,"xMaxYMin"],overleftrightarrow:[["leftarrow","rightarrow"],.888,522],overbrace:[["leftbrace","midbrace","rightbrace"],1.6,548],underbrace:[["leftbraceunder","midbraceunder","rightbraceunder"],1.6,548],underleftrightarrow:[["leftarrow","rightarrow"],.888,522],xleftrightarrow:[["leftarrow","rightarrow"],1.75,522],xLeftrightarrow:[["doubleleftarrow","doublerightarrow"],1.75,560],xrightleftharpoons:[["leftharpoondownplus","rightharpoonplus"],1.75,716],xleftrightharpoons:[["leftharpoonplus","rightharpoondownplus"],1.75,716],xhookleftarrow:[["leftarrow","righthook"],1.08,522],xhookrightarrow:[["lefthook","rightarrow"],1.08,522],overlinesegment:[["leftlinesegment","rightlinesegment"],.888,522],underlinesegment:[["leftlinesegment","rightlinesegment"],.888,522],overgroup:[["leftgroup","rightgroup"],.888,342],undergroup:[["leftgroupunder","rightgroupunder"],.888,342],xmapsto:[["leftmapsto","rightarrow"],1.5,522],xtofrom:[["leftToFrom","rightToFrom"],1.75,528],xrightleftarrows:[["baraboveleftarrow","rightarrowabovebar"],1.75,901],xrightequilibrium:[["baraboveshortleftharpoon","rightharpoonaboveshortbar"],1.75,716],xleftequilibrium:[["shortbaraboveleftharpoon","shortrightharpoonabovebar"],1.75,716]};function A(e,t){if(e&&e.type===t)return e;throw new Error("Expected node of type "+t+", but got "+(e?"node of type "+e.type:String(e)))}function _t(e){var t=$t(e);if(t)return t;throw new Error("Expected node of symbol group type, but got "+(e?"node of type "+e.type:String(e)))}function $t(e){return e&&("atom"===e.type||Pe.hasOwnProperty(e.type))?e:null}function Zt(e,t){e&&"supsub"===e.type?(s=(r=A(e.base,"accent")).base,e.base=s,n=function(e){if(e instanceof Se)return e;throw new Error("Expected span<HtmlDomNode> but got "+String(e)+".")}(re(e,t)),e.base=r):s=(r=A(e,"accent")).base;var r,n,e=re(s,t.havingCrampedStyle()),i=0;r.isShifty&&Z.isCharacterBox(s)&&(s=Z.getBaseElem(s),i=Le(re(s,t.havingCrampedStyle())).skew);var a,o,s="\\c"===r.label,l=s?e.height+e.depth:Math.min(e.height,t.fontMetrics().xHeight),h=r.isStretchy?(h=Ut(r,t),ee.makeVList({positionType:"firstBaseline",children:[{type:"elem",elem:e},{type:"elem",elem:h,wrapperClasses:["svg-align"],wrapperStyle:0<i?{width:"calc(100% - "+Q(2*i)+")",marginLeft:Q(2*i)}:void 0}]},t)):("\\vec"===r.label?(o=ee.staticSvg("vec",t),a=ee.svgData.vec[1]):((o=Le(o=ee.makeOrd({mode:r.mode,text:r.label},t,"textord"))).italic=0,a=o.width,s&&(l+=o.depth)),h=ee.makeSpan(["accent-body"],[o]),(s="\\textcircled"===r.label)&&(h.classes.push("accent-full"),l=e.height),o=i,s||(o-=a/2),h.style.left=Q(o),"\\textcircled"===r.label&&(h.style.top=".2em"),ee.makeVList({positionType:"firstBaseline",children:[{type:"elem",elem:e},{type:"kern",size:-l},{type:"elem",elem:h}]},t)),i=ee.makeSpan(["mord","accent"],[h],t);return n?(n.children[0]=i,n.height=Math.max(i.height,n.height),n.classes[0]="mord",n):i}function Kt(e,t){var r=e.isStretchy?Gt(e.label):new M.MathNode("mo",[It(e.label,e.mode)]);return(e=new M.MathNode("mover",[z(e.base,t),r])).setAttribute("accent","true"),e}function Jt(e){return(e=new M.MathNode("mpadded",e?[e]:[])).setAttribute("width","+0.6em"),e.setAttribute("lspace","0.3em"),e}function Qt(e){return"textord"===e.type&&"@"===e.text}var e0=new RegExp(["\\acute","\\grave","\\ddot","\\tilde","\\bar","\\breve","\\check","\\hat","\\vec","\\dot","\\mathring"].map(function(e){return"\\"+e}).join("|")),t0=(w({type:"accent",names:["\\acute","\\grave","\\ddot","\\tilde","\\bar","\\breve","\\check","\\hat","\\vec","\\dot","\\mathring","\\widecheck","\\widehat","\\widetilde","\\overrightarrow","\\overleftarrow","\\Overrightarrow","\\overleftrightarrow","\\overgroup","\\overlinesegment","\\overleftharpoon","\\overrightharpoon"],props:{numArgs:1},handler:function(e,t){var t=bt(t[0]),r=!e0.test(e.funcName),n=!r||"\\widehat"===e.funcName||"\\widetilde"===e.funcName||"\\widecheck"===e.funcName;return{type:"accent",mode:e.parser.mode,label:e.funcName,isStretchy:r,isShifty:n,base:t}},htmlBuilder:Zt,mathmlBuilder:Kt}),w({type:"accent",names:["\\'","\\`","\\^","\\~","\\=","\\u","\\.",'\\"',"\\c","\\r","\\H","\\v","\\textcircled"],props:{numArgs:1,allowedInText:!0,allowedInMath:!0,argTypes:["primitive"]},handler:function(e,t){var t=t[0],r=e.parser.mode;return"math"===r&&(e.parser.settings.reportNonstrict("mathVsTextAccents","LaTeX's accent "+e.funcName+" works only in text mode"),r="text"),{type:"accent",mode:r,label:e.funcName,isStretchy:!1,isShifty:!0,base:t}},htmlBuilder:Zt,mathmlBuilder:Kt}),w({type:"accentUnder",names:["\\underleftarrow","\\underrightarrow","\\underleftrightarrow","\\undergroup","\\underlinesegment","\\utilde"],props:{numArgs:1},handler:function(e,t){var r=e.parser,e=e.funcName,t=t[0];return{type:"accentUnder",mode:r.mode,label:e,base:t}},htmlBuilder:function(e,t){var r=re(e.base,t),n=Ut(e,t),e="\\utilde"===e.label?.12:0,n=ee.makeVList({positionType:"top",positionData:r.height,children:[{type:"elem",elem:n,wrapperClasses:["svg-align"]},{type:"kern",size:e},{type:"elem",elem:r}]},t);return ee.makeSpan(["mord","accentunder"],[n],t)},mathmlBuilder:function(e,t){var r=Gt(e.label),e=new M.MathNode("munder",[z(e.base,t),r]);return e.setAttribute("accentunder","true"),e}}),w({type:"xArrow",names:["\\xleftarrow","\\xrightarrow","\\xLeftarrow","\\xRightarrow","\\xleftrightarrow","\\xLeftrightarrow","\\xhookleftarrow","\\xhookrightarrow","\\xmapsto","\\xrightharpoondown","\\xrightharpoonup","\\xleftharpoondown","\\xleftharpoonup","\\xrightleftharpoons","\\xleftrightharpoons","\\xlongequal","\\xtwoheadrightarrow","\\xtwoheadleftarrow","\\xtofrom","\\xrightleftarrows","\\xrightequilibrium","\\xleftequilibrium","\\\\cdrightarrow","\\\\cdleftarrow","\\\\cdlongequal"],props:{numArgs:1,numOptionalArgs:1},handler:function(e,t,r){var n=e.parser,e=e.funcName;return{type:"xArrow",mode:n.mode,label:e,body:t[0],below:r[0]}},htmlBuilder:function(e,t){var r=t.style,n=t.havingStyle(r.sup()),i=ee.wrapFragment(re(e.body,n,t),t),a="\\x"===e.label.slice(0,2)?"x":"cd";i.classes.push(a+"-arrow-pad"),e.below&&(n=t.havingStyle(r.sub()),(o=ee.wrapFragment(re(e.below,n,t),t)).classes.push(a+"-arrow-pad"));var o,r=Ut(e,t),n=-t.fontMetrics().axisHeight+.5*r.height,a=-t.fontMetrics().axisHeight-.5*r.height-.111;return(.25<i.depth||"\\xleftequilibrium"===e.label)&&(a-=i.depth),(o=o?(e=-t.fontMetrics().axisHeight+o.height+.5*r.height+.111,ee.makeVList({positionType:"individualShift",children:[{type:"elem",elem:i,shift:a},{type:"elem",elem:r,shift:n},{type:"elem",elem:o,shift:e}]},t)):ee.makeVList({positionType:"individualShift",children:[{type:"elem",elem:i,shift:a},{type:"elem",elem:r,shift:n}]},t)).children[0].children[0].children[1].classes.push("svg-align"),ee.makeSpan(["mrel","x-arrow"],[o],t)},mathmlBuilder:function(e,t){var r,n,i,a=Gt(e.label);return a.setAttribute("minsize","x"===e.label.charAt(0)?"1.75em":"3.0em"),n=e.body?(r=Jt(z(e.body,t)),e.below?(i=Jt(z(e.below,t)),new M.MathNode("munderover",[a,i,r])):new M.MathNode("mover",[a,r])):e.below?(i=Jt(z(e.below,t)),new M.MathNode("munder",[a,i])):(n=Jt(),new M.MathNode("mover",[a,n]))}}),{">":"\\\\cdrightarrow","<":"\\\\cdleftarrow","=":"\\\\cdlongequal",A:"\\uparrow",V:"\\downarrow","|":"\\Vert",".":"no arrow"});w({type:"cdlabel",names:["\\\\cdleft","\\\\cdright"],props:{numArgs:1},handler:function(e,t){var r=e.parser,e=e.funcName;return{type:"cdlabel",mode:r.mode,side:e.slice(4),label:t[0]}},htmlBuilder:function(e,t){var r=t.havingStyle(t.style.sup()),r=ee.wrapFragment(re(e.label,r,t),t);return r.classes.push("cd-label-"+e.side),r.style.bottom=Q(.8-r.depth),r.height=0,r.depth=0,r},mathmlBuilder:function(e,t){t=new M.MathNode("mrow",[z(e.label,t)]);return(t=new M.MathNode("mpadded",[t])).setAttribute("width","0"),"left"===e.side&&t.setAttribute("lspace","-1width"),t.setAttribute("voffset","0.7em"),(t=new M.MathNode("mstyle",[t])).setAttribute("displaystyle","false"),t.setAttribute("scriptlevel","1"),t}}),w({type:"cdlabelparent",names:["\\\\cdparent"],props:{numArgs:1},handler:function(e,t){return{type:"cdlabelparent",mode:e.parser.mode,fragment:t[0]}},htmlBuilder:function(e,t){e=ee.wrapFragment(re(e.fragment,t),t);return e.classes.push("cd-vert-arrow"),e},mathmlBuilder:function(e,t){return new M.MathNode("mrow",[z(e.fragment,t)])}}),w({type:"textord",names:["\\@char"],props:{numArgs:1,allowedInText:!0},handler:function(e,t){for(var e=e.parser,r=A(t[0],"ordgroup").body,n="",i=0;i<r.length;i++)n+=A(r[i],"textord").text;var t=parseInt(n);if(isNaN(t))throw new $("\\@char has non-numeric argument "+n);if(t<0||1114111<=t)throw new $("\\@char with invalid code point "+n);return t=t<=65535?String.fromCharCode(t):(t-=65536,String.fromCharCode(55296+(t>>10),56320+(1023&t))),{type:"textord",mode:e.mode,text:t}}});function r0(e,t){return t=te(e.body,t.withColor(e.color),!1),ee.makeFragment(t)}function n0(e,t){return t=S(e.body,t.withColor(e.color)),(t=new M.MathNode("mstyle",t)).setAttribute("mathcolor",e.color),t}function i0(e){var t=e.text;if(/^(?:[\\{}$&#^_]|EOF)$/.test(t))throw new $("Expected a control sequence",e);return t}function a0(e,t,r,n){var i=e.gullet.macros.get(r.text);null==i&&(r.noexpand=!0,i={tokens:[r],numArgs:0,unexpandable:!e.gullet.isExpandable(r.text)}),e.gullet.macros.set(t,i,n)}function o0(e,t,r){if(r=he(p.math[e]&&p.math[e].replace||e,t,r))return r;throw new Error("Unsupported symbol "+e+" and font size "+t+".")}function s0(e,t,r,n){return t=r.havingBaseStyle(t),n=ee.makeSpan(n.concat(t.sizingClasses(r)),[e],r),e=t.sizeMultiplier/r.sizeMultiplier,n.height*=e,n.depth*=e,n.maxFontSize=t.sizeMultiplier,n}function l0(e,t,r){r=t.havingBaseStyle(r),r=(1-t.sizeMultiplier/r.sizeMultiplier)*t.fontMetrics().axisHeight,e.classes.push("delimcenter"),e.style.top=Q(r),e.height-=r,e.depth+=r}function h0(e,t,r,n,i,a){return e=ee.makeSymbol(e,"Size"+t+"-Regular",i,n),i=s0(ee.makeSpan(["delimsizing","size"+t],[e],n),K.TEXT,n,a),r&&l0(i,n,K.TEXT),i}function m0(e,t,r){return{type:"elem",elem:ee.makeSpan(["delimsizinginner","Size1-Regular"===t?"delim-size1":"delim-size4"],[ee.makeSpan([],[ee.makeSymbol(e,t,r)])])}}function c0(e,t,r){var n=(ae["Size4-Regular"][e.charCodeAt(0)]?ae["Size4-Regular"]:ae["Size1-Regular"])[e.charCodeAt(0)][4],e=new Be("inner",function(e,t){switch(e){case"⎜":return"M291 0 H417 V"+t+" H291z M291 0 H417 V"+t+" H291z";case"∣":return"M145 0 H188 V"+t+" H145z M145 0 H188 V"+t+" H145z";case"∥":return"M145 0 H188 V"+t+" H145z M145 0 H188 V"+t+" H145zM367 0 H410 V"+t+" H367z M367 0 H410 V"+t+" H367z";case"⎟":return"M457 0 H583 V"+t+" H457z M457 0 H583 V"+t+" H457z";case"⎢":return"M319 0 H403 V"+t+" H319z M319 0 H403 V"+t+" H319z";case"⎥":return"M263 0 H347 V"+t+" H263z M263 0 H347 V"+t+" H263z";case"⎪":return"M384 0 H504 V"+t+" H384z M384 0 H504 V"+t+" H384z";case"⏐":return"M312 0 H355 V"+t+" H312z M312 0 H355 V"+t+" H312z";case"‖":return"M257 0 H300 V"+t+" H257z M257 0 H300 V"+t+" H257zM478 0 H521 V"+t+" H478z M478 0 H521 V"+t+" H478z";default:return""}}(e,Math.round(1e3*t))),e=new Te([e],{width:Q(n),height:Q(t),style:"width:"+Q(n),viewBox:"0 0 "+1e3*n+" "+Math.round(1e3*t),preserveAspectRatio:"xMinYMin"});return(e=ee.makeSvgSpan([],[e],r)).height=t,e.style.height=Q(t),e.style.width=Q(n),{type:"elem",elem:e}}function u0(e,t,r,n,i,a){var o,s=o=f=e,l=null,h="Size1-Regular";"\\uparrow"===e?o=f="⏐":"\\Uparrow"===e?o=f="‖":"\\downarrow"===e?s=o="⏐":"\\Downarrow"===e?s=o="‖":"\\updownarrow"===e?(s="\\uparrow",o="⏐",f="\\downarrow"):"\\Updownarrow"===e?(s="\\Uparrow",o="‖",f="\\Downarrow"):Z.contains(b0,e)?o="∣":Z.contains(x0,e)?o="∥":"["===e||"\\lbrack"===e?(s="⎡",o="⎢",f="⎣",h="Size4-Regular"):"]"===e||"\\rbrack"===e?(s="⎤",o="⎥",f="⎦",h="Size4-Regular"):"\\lfloor"===e||"⌊"===e?(o=s="⎢",f="⎣",h="Size4-Regular"):"\\lceil"===e||"⌈"===e?(s="⎡",o=f="⎢",h="Size4-Regular"):"\\rfloor"===e||"⌋"===e?(o=s="⎥",f="⎦",h="Size4-Regular"):"\\rceil"===e||"⌉"===e?(s="⎤",o=f="⎥",h="Size4-Regular"):"("===e||"\\lparen"===e?(s="⎛",o="⎜",f="⎝",h="Size4-Regular"):")"===e||"\\rparen"===e?(s="⎞",o="⎟",f="⎠",h="Size4-Regular"):"\\{"===e||"\\lbrace"===e?(s="⎧",l="⎨",f="⎩",o="⎪",h="Size4-Regular"):"\\}"===e||"\\rbrace"===e?(s="⎫",l="⎬",f="⎭",o="⎪",h="Size4-Regular"):"\\lgroup"===e||"⟮"===e?(s="⎧",f="⎩",o="⎪",h="Size4-Regular"):"\\rgroup"===e||"⟯"===e?(s="⎫",f="⎭",o="⎪",h="Size4-Regular"):"\\lmoustache"===e||"⎰"===e?(s="⎧",f="⎭",o="⎪",h="Size4-Regular"):"\\rmoustache"!==e&&"⎱"!==e||(s="⎫",f="⎩",o="⎪",h="Size4-Regular");var e=(e=o0(s,h,i)).height+e.depth,m=(m=o0(o,h,i)).height+m.depth,c=(c=o0(f,h,i)).height+c.depth,u=0,p=1;null!==l&&(u=(d=o0(l,h,i)).height+d.depth,p=2);var t=(d=e+c+u)+Math.max(0,Math.ceil((t-d)/(p*m)))*p*m,d=n.fontMetrics().axisHeight,p=(r&&(d*=n.sizeMultiplier),t/2-d),d=((m=[]).push(m0(f,h,i)),m.push(y0),null===l?m.push(c0(o,t-e-c+.016,n)):(m.push(c0(o,r=(t-e-c-u)/2+.016,n)),m.push(y0),m.push(m0(l,h,i)),m.push(y0),m.push(c0(o,r,n))),m.push(y0),m.push(m0(s,h,i)),n.havingBaseStyle(K.TEXT)),f=ee.makeVList({positionType:"bottom",positionData:p,children:m},d);return s0(ee.makeSpan(["delimsizing","mult"],[f],d),K.TEXT,n,a)}function p0(n,e,t,r,i){return r=function(e,t){e*=1e3;var r="";switch(n){case"sqrtMain":r="M95,"+(622+e+80)+"\nc-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14\nc0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54\nc44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10\ns173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429\nc69,-144,104.5,-217.7,106.5,-221\nl"+e/2.075+" -"+e+"\nc5.3,-9.3,12,-14,20,-14\nH400000v"+(40+e)+"H845.2724\ns-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7\nc-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z\nM"+(834+e)+" 80h400000v"+(40+e)+"h-400000z";break;case"sqrtSize1":r="M263,"+(601+e+80)+"c0.7,0,18,39.7,52,119\nc34,79.3,68.167,158.7,102.5,238c34.3,79.3,51.8,119.3,52.5,120\nc340,-704.7,510.7,-1060.3,512,-1067\nl"+e/2.084+" -"+e+"\nc4.7,-7.3,11,-11,19,-11\nH40000v"+(40+e)+"H1012.3\ns-271.3,567,-271.3,567c-38.7,80.7,-84,175,-136,283c-52,108,-89.167,185.3,-111.5,232\nc-22.3,46.7,-33.8,70.3,-34.5,71c-4.7,4.7,-12.3,7,-23,7s-12,-1,-12,-1\ns-109,-253,-109,-253c-72.7,-168,-109.3,-252,-110,-252c-10.7,8,-22,16.7,-34,26\nc-22,17.3,-33.3,26,-34,26s-26,-26,-26,-26s76,-59,76,-59s76,-60,76,-60z\nM"+(1001+e)+" 80h400000v"+(40+e)+"h-400000z";break;case"sqrtSize2":r="M983 "+(10+e+80)+"\nl"+e/3.13+" -"+e+"\nc4,-6.7,10,-10,18,-10 H400000v"+(40+e)+"\nH1013.1s-83.4,268,-264.1,840c-180.7,572,-277,876.3,-289,913c-4.7,4.7,-12.7,7,-24,7\ns-12,0,-12,0c-1.3,-3.3,-3.7,-11.7,-7,-25c-35.3,-125.3,-106.7,-373.3,-214,-744\nc-10,12,-21,25,-33,39s-32,39,-32,39c-6,-5.3,-15,-14,-27,-26s25,-30,25,-30\nc26.7,-32.7,52,-63,76,-91s52,-60,52,-60s208,722,208,722\nc56,-175.3,126.3,-397.3,211,-666c84.7,-268.7,153.8,-488.2,207.5,-658.5\nc53.7,-170.3,84.5,-266.8,92.5,-289.5z\nM"+(1001+e)+" 80h400000v"+(40+e)+"h-400000z";break;case"sqrtSize3":r="M424,"+(2398+e+80)+"\nc-1.3,-0.7,-38.5,-172,-111.5,-514c-73,-342,-109.8,-513.3,-110.5,-514\nc0,-2,-10.7,14.3,-32,49c-4.7,7.3,-9.8,15.7,-15.5,25c-5.7,9.3,-9.8,16,-12.5,20\ns-5,7,-5,7c-4,-3.3,-8.3,-7.7,-13,-13s-13,-13,-13,-13s76,-122,76,-122s77,-121,77,-121\ns209,968,209,968c0,-2,84.7,-361.7,254,-1079c169.3,-717.3,254.7,-1077.7,256,-1081\nl"+e/4.223+" -"+e+"c4,-6.7,10,-10,18,-10 H400000\nv"+(40+e)+"H1014.6\ns-87.3,378.7,-272.6,1166c-185.3,787.3,-279.3,1182.3,-282,1185\nc-2,6,-10,9,-24,9\nc-8,0,-12,-0.7,-12,-2z M"+(1001+e)+" 80\nh400000v"+(40+e)+"h-400000z";break;case"sqrtSize4":r="M473,"+(2713+e+80)+"\nc339.3,-1799.3,509.3,-2700,510,-2702 l"+e/5.298+" -"+e+"\nc3.3,-7.3,9.3,-11,18,-11 H400000v"+(40+e)+"H1017.7\ns-90.5,478,-276.2,1466c-185.7,988,-279.5,1483,-281.5,1485c-2,6,-10,9,-24,9\nc-8,0,-12,-0.7,-12,-2c0,-1.3,-5.3,-32,-16,-92c-50.7,-293.3,-119.7,-693.3,-207,-1200\nc0,-1.3,-5.3,8.7,-16,30c-10.7,21.3,-21.3,42.7,-32,64s-16,33,-16,33s-26,-26,-26,-26\ns76,-153,76,-153s77,-151,77,-151c0.7,0.7,35.7,202,105,604c67.3,400.7,102,602.7,104,\n606zM"+(1001+e)+" 80h400000v"+(40+e)+"H1017.7z";break;case"sqrtTall":r="M702 "+(80+e)+"H400000"+(40+e)+"\nH742v"+(t-54-80-e)+"l-4 4-4 4c-.667.7 -2 1.5-4 2.5s-4.167 1.833-6.5 2.5-5.5 1-9.5 1\nh-12l-28-84c-16.667-52-96.667 -294.333-240-727l-212 -643 -85 170\nc-4-3.333-8.333-7.667-13 -13l-13-13l77-155 77-156c66 199.333 139 419.667\n219 661 l218 661zM702 80H400000v"+(40+e)+"H742z"}return r}(r,t),r=new Be(n,r),r=new Te([r],{width:"400em",height:Q(e),viewBox:"0 0 400000 "+t,preserveAspectRatio:"xMinYMin slice"}),ee.makeSvgSpan(["hide-tail"],[r],i)}function d0(e,t,r,n){for(var i=Math.min(2,3-n.style.size);i<r.length&&"stack"!==r[i].type;i++){var a=o0(e,function(e){if("small"===e.type)return"Main-Regular";if("large"===e.type)return"Size"+e.size+"-Regular";if("stack"===e.type)return"Size4-Regular";throw new Error("Add support for delim type '"+e.type+"' here.")}(r[i]),"math"),a=a.height+a.depth;if("small"===r[i].type&&(a*=n.havingBaseStyle(r[i].style).sizeMultiplier),t<a)return r[i]}return r[r.length-1]}function f0(e,t,r,n,i,a){"<"===e||"\\lt"===e||"⟨"===e?e="\\langle":">"!==e&&"\\gt"!==e&&"⟩"!==e||(e="\\rangle"),c=Z.contains(k0,e)?M0:Z.contains(v0,e)?A0:z0;var o,s,l,h,m,c=d0(e,t,c,n);return"small"===c.type?(o=e,s=c.style,l=r,h=n,m=a,o=ee.makeSymbol(o,"Main-Regular",i,h),o=s0(o,s,h,m),l&&l0(o,h,s),o):"large"===c.type?h0(e,c.size,r,n,i,a):u0(e,t,r,n,i,a)}w({type:"color",names:["\\textcolor"],props:{numArgs:2,allowedInText:!0,argTypes:["color","original"]},handler:function(e,t){var e=e.parser,r=A(t[0],"color-token").color,t=t[1];return{type:"color",mode:e.mode,color:r,body:k(t)}},htmlBuilder:r0,mathmlBuilder:n0}),w({type:"color",names:["\\color"],props:{numArgs:1,allowedInText:!0,argTypes:["color"]},handler:function(e,t){var r=e.parser,e=e.breakOnTokenText,t=A(t[0],"color-token").color,e=(r.gullet.macros.set("\\current@color",t),r.parseExpression(!0,e));return{type:"color",mode:r.mode,color:t,body:e}},htmlBuilder:r0,mathmlBuilder:n0}),w({type:"cr",names:["\\\\"],props:{numArgs:0,numOptionalArgs:1,argTypes:["size"],allowedInText:!0},handler:function(e,t,r){var e=e.parser,r=r[0],n=!e.settings.displayMode||!e.settings.useStrictBehavior("newLineInDisplayMode","In LaTeX, \\\\ or \\newline does nothing in display mode");return{type:"cr",mode:e.mode,newLine:n,size:r&&A(r,"size").value}},htmlBuilder:function(e,t){var r=ee.makeSpan(["mspace"],[],t);return e.newLine&&(r.classes.push("newline"),e.size&&(r.style.marginTop=Q(J(e.size,t)))),r},mathmlBuilder:function(e,t){var r=new M.MathNode("mspace");return e.newLine&&(r.setAttribute("linebreak","newline"),e.size&&r.setAttribute("height",Q(J(e.size,t)))),r}});var g0={"\\global":"\\global","\\long":"\\\\globallong","\\\\globallong":"\\\\globallong","\\def":"\\gdef","\\gdef":"\\gdef","\\edef":"\\xdef","\\xdef":"\\xdef","\\let":"\\\\globallet","\\futurelet":"\\\\globalfuture"},y0=(w({type:"internal",names:["\\global","\\long","\\\\globallong"],props:{numArgs:0,allowedInText:!0},handler:function(e){var t=e.parser,e=e.funcName,r=(t.consumeSpaces(),t.fetch());if(g0[r.text])return"\\global"!==e&&"\\\\globallong"!==e||(r.text=g0[r.text]),A(t.parseFunction(),"internal");throw new $("Invalid token after macro prefix",r)}}),w({type:"internal",names:["\\def","\\gdef","\\edef","\\xdef"],props:{numArgs:0,allowedInText:!0,primitive:!0},handler:function(e){var t=e.parser,e=e.funcName,r=t.gullet.popToken(),n=r.text;if(/^(?:[\\{}$&#^_]|EOF)$/.test(n))throw new $("Expected a control sequence",r);for(var i,a=0,o=[[]];"{"!==t.gullet.future().text;)if("#"===(r=t.gullet.popToken()).text){if("{"===t.gullet.future().text){i=t.gullet.future(),o[a].push("{");break}if(r=t.gullet.popToken(),!/^[1-9]$/.test(r.text))throw new $('Invalid argument number "'+r.text+'"');if(parseInt(r.text)!==a+1)throw new $('Argument number "'+r.text+'" out of order');a++,o.push([])}else{if("EOF"===r.text)throw new $("Expected a macro definition");o[a].push(r.text)}var s=t.gullet.consumeArg().tokens;return i&&s.unshift(i),"\\edef"!==e&&"\\xdef"!==e||(s=t.gullet.expandTokens(s)).reverse(),t.gullet.macros.set(n,{tokens:s,numArgs:a,delimiters:o},e===g0[e]),{type:"internal",mode:t.mode}}}),w({type:"internal",names:["\\let","\\\\globallet"],props:{numArgs:0,allowedInText:!0,primitive:!0},handler:function(e){var t,r,n=e.parser,e=e.funcName,i=i0(n.gullet.popToken());n.gullet.consumeSpaces(),r="="===(r=(t=n).gullet.popToken()).text&&" "===(r=t.gullet.popToken()).text?t.gullet.popToken():r;return a0(n,i,r,"\\\\globallet"===e),{type:"internal",mode:n.mode}}}),w({type:"internal",names:["\\futurelet","\\\\globalfuture"],props:{numArgs:0,allowedInText:!0,primitive:!0},handler:function(e){var t=e.parser,e=e.funcName,r=i0(t.gullet.popToken()),n=t.gullet.popToken(),i=t.gullet.popToken();return a0(t,r,i,"\\\\globalfuture"===e),t.gullet.pushToken(i),t.gullet.pushToken(n),{type:"internal",mode:t.mode}}}),{type:"kern",size:-.008}),b0=["|","\\lvert","\\rvert","\\vert"],x0=["\\|","\\lVert","\\rVert","\\Vert"],v0=["(","\\lparen",")","\\rparen","[","\\lbrack","]","\\rbrack","\\{","\\lbrace","\\}","\\rbrace","\\lfloor","\\rfloor","⌊","⌋","\\lceil","\\rceil","⌈","⌉","\\surd"],w0=["\\uparrow","\\downarrow","\\updownarrow","\\Uparrow","\\Downarrow","\\Updownarrow","|","\\|","\\vert","\\Vert","\\lvert","\\rvert","\\lVert","\\rVert","\\lgroup","\\rgroup","⟮","⟯","\\lmoustache","\\rmoustache","⎰","⎱"],k0=["<",">","\\langle","\\rangle","/","\\backslash","\\lt","\\gt"],S0=[0,1.2,1.8,2.4,3],M0=[{type:"small",style:K.SCRIPTSCRIPT},{type:"small",style:K.SCRIPT},{type:"small",style:K.TEXT},{type:"large",size:1},{type:"large",size:2},{type:"large",size:3},{type:"large",size:4}],z0=[{type:"small",style:K.SCRIPTSCRIPT},{type:"small",style:K.SCRIPT},{type:"small",style:K.TEXT},{type:"stack"}],A0=[{type:"small",style:K.SCRIPTSCRIPT},{type:"small",style:K.SCRIPT},{type:"small",style:K.TEXT},{type:"large",size:1},{type:"large",size:2},{type:"large",size:3},{type:"large",size:4},{type:"stack"}],T0={sqrtImage:function(e,t){var r,n=t.havingBaseSizing(),i=d0("\\surd",e*n.sizeMultiplier,A0,n),n=n.sizeMultiplier,a=Math.max(0,t.minRuleThickness-t.fontMetrics().sqrtRuleThickness),o=0,s=0,l=0,i="small"===i.type?(e<1?n=1:e<1.4&&(n=.7),s=(1+a)/n,(r=p0("sqrtMain",o=(1+a+.08)/n,l=1e3+1e3*a+80,a,t)).style.minWidth="0.853em",.833/n):"large"===i.type?(l=1080*S0[i.size],s=(S0[i.size]+a)/n,o=(S0[i.size]+a+.08)/n,(r=p0("sqrtSize"+i.size,o,l,a,t)).style.minWidth="1.02em",1/n):(o=e+a+.08,s=e+a,l=Math.floor(1e3*e+a)+80,(r=p0("sqrtTall",o,l,a,t)).style.minWidth="0.742em",1.056);return r.height=s,r.style.height=Q(o),{span:r,advanceWidth:i,ruleWidth:(t.fontMetrics().sqrtRuleThickness+a)*n}},sizedDelim:function(e,t,r,n,i){if("<"===e||"\\lt"===e||"⟨"===e?e="\\langle":">"!==e&&"\\gt"!==e&&"⟩"!==e||(e="\\rangle"),Z.contains(v0,e)||Z.contains(k0,e))return h0(e,t,!1,r,n,i);if(Z.contains(w0,e))return u0(e,S0[t],!1,r,n,i);throw new $("Illegal delimiter: '"+e+"'")},sizeToMaxHeight:S0,customSizedDelim:f0,leftRightDelim:function(e,t,r,n,i,a){var o=n.fontMetrics().axisHeight*n.sizeMultiplier,s=5/n.fontMetrics().ptPerEm,t=Math.max(t-o,r+o),r=Math.max(t/500*901,2*t-s);return f0(e,r,!0,n,i,a)}},B0={"\\bigl":{mclass:"mopen",size:1},"\\Bigl":{mclass:"mopen",size:2},"\\biggl":{mclass:"mopen",size:3},"\\Biggl":{mclass:"mopen",size:4},"\\bigr":{mclass:"mclose",size:1},"\\Bigr":{mclass:"mclose",size:2},"\\biggr":{mclass:"mclose",size:3},"\\Biggr":{mclass:"mclose",size:4},"\\bigm":{mclass:"mrel",size:1},"\\Bigm":{mclass:"mrel",size:2},"\\biggm":{mclass:"mrel",size:3},"\\Biggm":{mclass:"mrel",size:4},"\\big":{mclass:"mord",size:1},"\\Big":{mclass:"mord",size:2},"\\bigg":{mclass:"mord",size:3},"\\Bigg":{mclass:"mord",size:4}},C0=["(","\\lparen",")","\\rparen","[","\\lbrack","]","\\rbrack","\\{","\\lbrace","\\}","\\rbrace","\\lfloor","\\rfloor","⌊","⌋","\\lceil","\\rceil","⌈","⌉","<",">","\\langle","⟨","\\rangle","⟩","\\lt","\\gt","\\lvert","\\rvert","\\lVert","\\rVert","\\lgroup","\\rgroup","⟮","⟯","\\lmoustache","\\rmoustache","⎰","⎱","/","\\backslash","|","\\vert","\\|","\\Vert","\\uparrow","\\Uparrow","\\downarrow","\\Downarrow","\\updownarrow","\\Updownarrow","."];function N0(e,t){var r=$t(e);if(r&&Z.contains(C0,r.text))return r;throw new $(r?"Invalid delimiter '"+r.text+"' after '"+t.funcName+"'":"Invalid delimiter type '"+e.type+"'",e)}function q0(e){if(!e.body)throw new Error("Bug: The leftright ParseNode wasn't fully parsed.")}w({type:"delimsizing",names:["\\bigl","\\Bigl","\\biggl","\\Biggl","\\bigr","\\Bigr","\\biggr","\\Biggr","\\bigm","\\Bigm","\\biggm","\\Biggm","\\big","\\Big","\\bigg","\\Bigg"],props:{numArgs:1,argTypes:["primitive"]},handler:function(e,t){t=N0(t[0],e);return{type:"delimsizing",mode:e.parser.mode,size:B0[e.funcName].size,mclass:B0[e.funcName].mclass,delim:t.text}},htmlBuilder:function(e,t){return"."===e.delim?ee.makeSpan([e.mclass]):T0.sizedDelim(e.delim,e.size,t,e.mode,[e.mclass])},mathmlBuilder:function(e){var t=[],t=("."!==e.delim&&t.push(It(e.delim,e.mode)),new M.MathNode("mo",t)),e=("mopen"===e.mclass||"mclose"===e.mclass?t.setAttribute("fence","true"):t.setAttribute("fence","false"),t.setAttribute("stretchy","true"),Q(T0.sizeToMaxHeight[e.size]));return t.setAttribute("minsize",e),t.setAttribute("maxsize",e),t}}),w({type:"leftright-right",names:["\\right"],props:{numArgs:1,primitive:!0},handler:function(e,t){var r=e.parser.gullet.macros.get("\\current@color");if(r&&"string"!=typeof r)throw new $("\\current@color set to non-string in \\right");return{type:"leftright-right",mode:e.parser.mode,delim:N0(t[0],e).text,color:r}}}),w({type:"leftright",names:["\\left"],props:{numArgs:1,primitive:!0},handler:function(e,t){var t=N0(t[0],e),e=e.parser,r=(++e.leftrightDepth,e.parseExpression(!1)),n=(--e.leftrightDepth,e.expect("\\right",!1),A(e.parseFunction(),"leftright-right"));return{type:"leftright",mode:e.mode,body:r,left:t.text,right:n.delim,rightColor:n.color}},htmlBuilder:function(e,t){q0(e);for(var r,n=te(e.body,t,!0,["mopen","mclose"]),i=0,a=0,o=!1,s=0;s<n.length;s++)n[s].isMiddle?o=!0:(i=Math.max(n[s].height,i),a=Math.max(n[s].depth,a));if(i*=t.sizeMultiplier,a*=t.sizeMultiplier,r="."===e.left?vt(t,["mopen"]):T0.leftRightDelim(e.left,i,a,t,e.mode,["mopen"]),n.unshift(r),o)for(var l=1;l<n.length;l++){var h=n[l].isMiddle;h&&(n[l]=T0.leftRightDelim(h.delim,i,a,h.options,e.mode,[]))}return r="."===e.right?vt(t,["mclose"]):(r=e.rightColor?t.withColor(e.rightColor):t,T0.leftRightDelim(e.right,i,a,r,e.mode,["mclose"])),n.push(r),ee.makeSpan(["minner"],n,t)},mathmlBuilder:function(e,t){q0(e);var r,t=S(e.body,t);return"."!==e.left&&((r=new M.MathNode("mo",[It(e.left,e.mode)])).setAttribute("fence","true"),t.unshift(r)),"."!==e.right&&((r=new M.MathNode("mo",[It(e.right,e.mode)])).setAttribute("fence","true"),e.rightColor&&r.setAttribute("mathcolor",e.rightColor),t.push(r)),Ot(t)}}),w({type:"middle",names:["\\middle"],props:{numArgs:1,primitive:!0},handler:function(e,t){t=N0(t[0],e);if(e.parser.leftrightDepth)return{type:"middle",mode:e.parser.mode,delim:t.text};throw new $("\\middle without preceding \\left",t)},htmlBuilder:function(e,t){var r;return"."===e.delim?r=vt(t,[]):(r=T0.sizedDelim(e.delim,1,t,e.mode,[]),e={delim:e.delim,options:t},r.isMiddle=e),r},mathmlBuilder:function(e,t){e="\\vert"===e.delim||"|"===e.delim?It("|","text"):It(e.delim,e.mode),e=new M.MathNode("mo",[e]);return e.setAttribute("fence","true"),e.setAttribute("lspace","0.05em"),e.setAttribute("rspace","0.05em"),e}});function I0(e,t){var r,n,i,a,o,s,l,h,m=ee.wrapFragment(re(e.body,t),t),c=e.label.substr(1),u=t.sizeMultiplier,p=0,d=Z.isCharacterBox(e.body);return"sout"===c?((r=ee.makeSpan(["stretchy","sout"])).height=t.fontMetrics().defaultRuleThickness/u,p=-.5*t.fontMetrics().xHeight):"phase"===c?(n=J({number:.6,unit:"pt"},t),o=J({number:.35,unit:"ex"},t),u/=t.havingBaseSizing().sizeMultiplier,i=m.height+m.depth+n+o,m.style.paddingLeft=Q(i/2+n),u=Math.floor(1e3*i*u),u=new Te([new Be("phase","M400000 "+u+" H0 L"+u/2+" 0 l65 45 L145 "+(u-80)+" H400000z")],{width:"400em",height:Q(u/1e3),viewBox:"0 0 400000 "+u,preserveAspectRatio:"xMinYMin slice"}),(r=ee.makeSvgSpan(["hide-tail"],[u],t)).style.height=Q(i),p=m.depth+n+o):(/cancel/.test(c)?d||m.classes.push("cancel-pad"):"angl"===c?m.classes.push("anglpad"):m.classes.push("boxpad"),n=i=u=0,i=/box/.test(c)?(n=Math.max(t.fontMetrics().fboxrule,t.minRuleThickness),u=t.fontMetrics().fboxsep+("colorbox"===c?0:n)):"angl"===c?(u=4*(n=Math.max(t.fontMetrics().defaultRuleThickness,t.minRuleThickness)),Math.max(0,.25-m.depth)):u=d?.2:0,o=c,u=u,h=i,s=t,a=(a=m).height+a.depth+u+h,/fbox|color|angl/.test(o)?(l=ee.makeSpan(["stretchy",o],[],s),"fbox"===o&&(u=s.color&&s.getColor())&&(l.style.borderColor=u)):(h=[],/^[bx]cancel$/.test(o)&&h.push(new Ce({x1:"0",y1:"0",x2:"100%",y2:"100%","stroke-width":"0.046em"})),/^x?cancel$/.test(o)&&h.push(new Ce({x1:"0",y1:"100%",x2:"100%",y2:"0","stroke-width":"0.046em"})),u=new Te(h,{width:"100%",height:Q(a)}),l=ee.makeSvgSpan([],[u],s)),l.height=a,l.style.height=Q(a),r=l,/fbox|boxed|fcolorbox/.test(c)?(r.style.borderStyle="solid",r.style.borderWidth=Q(n)):"angl"===c&&.049!==n&&(r.style.borderTopWidth=Q(n),r.style.borderRightWidth=Q(n)),p=m.depth+i,e.backgroundColor&&(r.style.backgroundColor=e.backgroundColor,e.borderColor&&(r.style.borderColor=e.borderColor))),u=e.backgroundColor?ee.makeVList({positionType:"individualShift",children:[{type:"elem",elem:r,shift:p},{type:"elem",elem:m,shift:0}]},t):(h=/cancel|phase/.test(c)?["svg-align"]:[],ee.makeVList({positionType:"individualShift",children:[{type:"elem",elem:m,shift:0},{type:"elem",elem:r,shift:p,wrapperClasses:h}]},t)),/cancel/.test(c)&&(u.height=m.height,u.depth=m.depth),/cancel/.test(c)&&!d?ee.makeSpan(["mord","cancel-lap"],[u],t):ee.makeSpan(["mord"],[u],t)}function O0(e,t){var r=new M.MathNode(-1<e.label.indexOf("colorbox")?"mpadded":"menclose",[z(e.body,t)]);switch(e.label){case"\\cancel":r.setAttribute("notation","updiagonalstrike");break;case"\\bcancel":r.setAttribute("notation","downdiagonalstrike");break;case"\\phase":r.setAttribute("notation","phasorangle");break;case"\\sout":r.setAttribute("notation","horizontalstrike");break;case"\\fbox":r.setAttribute("notation","box");break;case"\\angl":r.setAttribute("notation","actuarial");break;case"\\fcolorbox":case"\\colorbox":var n=t.fontMetrics().fboxsep*t.fontMetrics().ptPerEm;r.setAttribute("width","+"+2*n+"pt"),r.setAttribute("height","+"+2*n+"pt"),r.setAttribute("lspace",n+"pt"),r.setAttribute("voffset",n+"pt"),"\\fcolorbox"===e.label&&(n=Math.max(t.fontMetrics().fboxrule,t.minRuleThickness),r.setAttribute("style","border: "+n+"em solid "+String(e.borderColor)));break;case"\\xcancel":r.setAttribute("notation","updiagonalstrike downdiagonalstrike")}return e.backgroundColor&&r.setAttribute("mathbackground",e.backgroundColor),r}w({type:"enclose",names:["\\colorbox"],props:{numArgs:2,allowedInText:!0,argTypes:["color","text"]},handler:function(e,t,r){var n=e.parser,e=e.funcName,i=A(t[0],"color-token").color,t=t[1];return{type:"enclose",mode:n.mode,label:e,backgroundColor:i,body:t}},htmlBuilder:I0,mathmlBuilder:O0}),w({type:"enclose",names:["\\fcolorbox"],props:{numArgs:3,allowedInText:!0,argTypes:["color","color","text"]},handler:function(e,t,r){var n=e.parser,e=e.funcName,i=A(t[0],"color-token").color,a=A(t[1],"color-token").color,t=t[2];return{type:"enclose",mode:n.mode,label:e,backgroundColor:a,borderColor:i,body:t}},htmlBuilder:I0,mathmlBuilder:O0}),w({type:"enclose",names:["\\fbox"],props:{numArgs:1,argTypes:["hbox"],allowedInText:!0},handler:function(e,t){return{type:"enclose",mode:e.parser.mode,label:"\\fbox",body:t[0]}}}),w({type:"enclose",names:["\\cancel","\\bcancel","\\xcancel","\\sout","\\phase"],props:{numArgs:1},handler:function(e,t){var r=e.parser,e=e.funcName,t=t[0];return{type:"enclose",mode:r.mode,label:e,body:t}},htmlBuilder:I0,mathmlBuilder:O0}),w({type:"enclose",names:["\\angl"],props:{numArgs:1,argTypes:["hbox"],allowedInText:!1},handler:function(e,t){return{type:"enclose",mode:e.parser.mode,label:"\\angl",body:t[0]}}});var R0={};function E0(e){for(var t=e.type,r=e.names,n=e.props,i=e.handler,a=e.htmlBuilder,e=e.mathmlBuilder,o={type:t,numArgs:n.numArgs||0,allowedInText:!1,numOptionalArgs:0,handler:i},s=0;s<r.length;++s)R0[r[s]]=o;a&&(ft[t]=a),e&&(gt[t]=e)}var H0={};function T(e,t){H0[e]=t}F0.range=function(e,t){return t?e&&e.loc&&t.loc&&e.loc.lexer===t.loc.lexer?new F0(e.loc.lexer,e.loc.start,t.loc.end):null:e&&e.loc};var L0=F0,D0=(P0.prototype.range=function(e,t){return new P0(t,L0.range(this,e))},P0);function P0(e,t){this.text=void 0,this.loc=void 0,this.noexpand=void 0,this.treatAsRelax=void 0,this.text=e,this.loc=t}function F0(e,t,r){this.lexer=void 0,this.start=void 0,this.end=void 0,this.lexer=e,this.start=t,this.end=r}function V0(e){var t=[];e.consumeSpaces();for(var r=e.fetch().text;"\\hline"===r||"\\hdashline"===r;)e.consume(),t.push("\\hdashline"===r),e.consumeSpaces(),r=e.fetch().text;return t}function G0(e){if(!e.parser.settings.displayMode)throw new $("{"+e.envName+"} can be used only in display mode.")}function U0(e){if(-1===e.indexOf("ed"))return-1===e.indexOf("*")}function Y0(e,t,r){var n=t.hskipBeforeAndAfter,i=t.addJot,a=t.cols,o=t.arraystretch,s=t.colSeparationType,l=t.autoTag,h=t.singleRow,m=t.emptySingleRow,c=t.maxNumCols,t=t.leqno;if(e.gullet.beginGroup(),h||e.gullet.macros.set("\\cr","\\\\\\relax"),!o){var u=e.gullet.expandMacroAsText("\\arraystretch");if(null==u)o=1;else if(!(o=parseFloat(u))||o<0)throw new $("Invalid \\arraystretch: "+u)}e.gullet.beginGroup();var p=[],d=[p],f=[],g=[],y=null!=l?[]:void 0;function b(){l&&e.gullet.macros.set("\\@eqnsw","1",!0)}function x(){y&&(e.gullet.macros.get("\\df@tag")?(y.push(e.subparse([new D0("\\df@tag")])),e.gullet.macros.set("\\df@tag",void 0,!0)):y.push(Boolean(l)&&"1"===e.gullet.macros.get("\\@eqnsw")))}for(b(),g.push(V0(e));;){var v=e.parseExpression(!1,h?"\\end":"\\\\"),w=(e.gullet.endGroup(),e.gullet.beginGroup(),v={type:"ordgroup",mode:e.mode,body:v},r&&(v={type:"styling",mode:e.mode,style:r,body:[v]}),p.push(v),e.fetch().text);if("&"===w){if(c&&p.length===c){if(h||s)throw new $("Too many tab characters: &",e.nextToken);e.settings.reportNonstrict("textEnv","Too few columns specified in the {array} column argument.")}e.consume()}else{if("\\end"===w){x(),1===p.length&&"styling"===v.type&&0===v.body[0].body.length&&(1<d.length||!m)&&d.pop(),g.length<d.length+1&&g.push([]);break}if("\\\\"!==w)throw new $("Expected & or \\\\ or \\cr or \\end",e.nextToken);e.consume();v=void 0;" "!==e.gullet.future().text&&(v=e.parseSizeGroup(!0)),f.push(v?v.value:null),x(),g.push(V0(e)),d.push(p=[]),b()}}return e.gullet.endGroup(),e.gullet.endGroup(),{type:"array",mode:e.mode,addJot:i,arraystretch:o,body:d,cols:a,rowGaps:f,hskipBeforeAndAfter:n,hLinesBeforeRow:g,colSeparationType:s,tags:y,leqno:t}}function X0(e){return"d"===e.substr(0,1)?"display":"text"}function W0(e,t){var r=e.body.length,H=e.hLinesBeforeRow,n=0,i=new Array(r),a=[],o=Math.max(t.fontMetrics().arrayRuleWidth,t.minRuleThickness),s=1/t.fontMetrics().ptPerEm,l=5*s,h=(e.colSeparationType&&"small"===e.colSeparationType&&(l=t.havingStyle(K.SCRIPT).sizeMultiplier/t.sizeMultiplier*.2778),"CD"===e.colSeparationType?J({number:3,unit:"ex"},t):12*s),L=3*s,D=.7*(s=e.arraystretch*h),P=.3*s,m=0;function F(e){for(var t=0;t<e.length;++t)0<t&&(m+=.25),a.push({pos:m,isDashed:e[t]})}for(F(H[0]),I=0;I<e.body.length;++I){for(var c=e.body[I],u=D,p=P,d=(n<c.length&&(n=c.length),new Array(c.length)),f=0;f<c.length;++f){var g=re(c[f],t);p<g.depth&&(p=g.depth),u<g.height&&(u=g.height),d[f]=g}var V=e.rowGaps[I],y=0;V&&0<(y=J(V,t))&&(p<(y+=P)&&(p=y),y=0),e.addJot&&(p+=L),d.height=u,d.depth=p,m+=u,d.pos=m,m+=p+y,i[I]=d,F(H[I+1])}var b,x,v=m/2+t.fontMetrics().axisHeight,w=e.cols||[],k=[],S=[];if(e.tags&&e.tags.some(function(e){return e}))for(I=0;I<r;++I){var M=i[I],G=M.pos-v,z=e.tags[I],A=void 0;(A=!0===z?ee.makeSpan(["eqn-num"],[],t):!1===z?ee.makeSpan([],[],t):ee.makeSpan([],te(z,t,!0),t)).depth=M.depth,A.height=M.height,S.push({type:"elem",elem:A,shift:G})}for(x=f=0;f<n||x<w.length;++f,++x){for(var T=w[x]||{},U=!0;"separator"===T.type;){if(U||((b=ee.makeSpan(["arraycolsep"],[])).style.width=Q(t.fontMetrics().doubleRuleSep),k.push(b)),"|"!==T.separator&&":"!==T.separator)throw new $("Invalid separator type: "+T.separator);var B="|"===T.separator?"solid":"dashed",C=ee.makeSpan(["vertical-separator"],[],t),B=(C.style.height=Q(m),C.style.borderRightWidth=Q(o),C.style.borderRightStyle=B,C.style.margin="0 "+Q(-o/2),m-v);B&&(C.style.verticalAlign=Q(-B)),k.push(C),T=w[++x]||{},U=!1}if(!(n<=f)){for(var N=void 0,q=((0<f||e.hskipBeforeAndAfter)&&0!==(N=Z.deflt(T.pregap,l))&&((b=ee.makeSpan(["arraycolsep"],[])).style.width=Q(N),k.push(b)),[]),I=0;I<r;++I){var Y,O=i[I],R=O[f];R&&(Y=O.pos-v,R.depth=O.depth,R.height=O.height,q.push({type:"elem",elem:R,shift:Y}))}q=ee.makeVList({positionType:"individualShift",children:q},t),q=ee.makeSpan(["col-align-"+(T.align||"c")],[q]),k.push(q),(f<n-1||e.hskipBeforeAndAfter)&&0!==(N=Z.deflt(T.postgap,l))&&((b=ee.makeSpan(["arraycolsep"],[])).style.width=Q(N),k.push(b))}}if(i=ee.makeSpan(["mtable"],k),0<a.length){for(var X=ee.makeLineSpan("hline",t,o),W=ee.makeLineSpan("hdashline",t,o),E=[{type:"elem",elem:i,shift:0}];0<a.length;){var j=a.pop(),_=j.pos-v;j.isDashed?E.push({type:"elem",elem:W,shift:_}):E.push({type:"elem",elem:X,shift:_})}i=ee.makeVList({positionType:"individualShift",children:E},t)}return 0===S.length?ee.makeSpan(["mord"],[i],t):(h=ee.makeVList({positionType:"individualShift",children:S},t),h=ee.makeSpan(["tag"],[h],t),ee.makeFragment([i,h]))}function j0(e,t){for(var r=[],n=new M.MathNode("mtd",[],["mtr-glue"]),i=new M.MathNode("mtd",[],["mml-eqn-num"]),a=0;a<e.body.length;a++){for(var o=e.body[a],s=[],l=0;l<o.length;l++)s.push(new M.MathNode("mtd",[z(o[l],t)]));e.tags&&e.tags[a]&&(s.unshift(n),s.push(n),e.leqno?s.unshift(i):s.push(i)),r.push(new M.MathNode("mtr",s))}var h=new M.MathNode("mtable",r),m=.5===e.arraystretch?.1:.16+e.arraystretch-1+(e.addJot?.09:0),m=(h.setAttribute("rowspacing",Q(m)),""),c="";if(e.cols&&0<e.cols.length){var u=e.cols,p="",d=!1,f=0,g=u.length;"separator"===u[0].type&&(m+="top ",f=1),"separator"===u[u.length-1].type&&(m+="bottom ",--g);for(var y=f;y<g;y++)"align"===u[y].type?(c+=$0[u[y].align],d&&(p+="none "),d=!0):"separator"===u[y].type&&d&&(p+="|"===u[y].separator?"solid ":"dashed ",d=!1);h.setAttribute("columnalign",c.trim()),/[sd]/.test(p)&&h.setAttribute("columnlines",p.trim())}if("align"===e.colSeparationType){for(var b=e.cols||[],x="",v=1;v<b.length;v++)x+=v%2?"0em ":"1em ";h.setAttribute("columnspacing",x.trim())}else"alignat"===e.colSeparationType||"gather"===e.colSeparationType?h.setAttribute("columnspacing","0em"):"small"===e.colSeparationType?h.setAttribute("columnspacing","0.2778em"):"CD"===e.colSeparationType?h.setAttribute("columnspacing","0.5em"):h.setAttribute("columnspacing","1em");for(var w="",k=e.hLinesBeforeRow,m=(m+=0<k[0].length?"left ":"")+(0<k[k.length-1].length?"right ":""),S=1;S<k.length-1;S++)w+=0===k[S].length?"none ":k[S][0]?"dashed ":"solid ";return/[sd]/.test(w)&&h.setAttribute("rowlines",w.trim()),""!==m&&(h=new M.MathNode("menclose",[h])).setAttribute("notation",m.trim()),e.arraystretch&&e.arraystretch<1&&(h=new M.MathNode("mstyle",[h])).setAttribute("scriptlevel","1"),h}function _0(e,t){-1===e.envName.indexOf("ed")&&G0(e);var i,r=[],n=-1<e.envName.indexOf("at")?"alignat":"align",a="split"===e.envName,n=Y0(e.parser,{cols:r,addJot:!0,autoTag:a?void 0:U0(e.envName),emptySingleRow:!0,colSeparationType:n,maxNumCols:a?2:void 0,leqno:e.parser.settings.leqno},"display"),o=0,s={type:"ordgroup",mode:e.mode,body:[]};if(t[0]&&"ordgroup"===t[0].type){for(var l="",h=0;h<t[0].body.length;h++)l+=A(t[0].body[h],"textord").text;i=Number(l),o=2*i}var m=!o;n.body.forEach(function(e){for(var t=1;t<e.length;t+=2){var r=A(e[t],"styling");A(r.body[0],"ordgroup").body.unshift(s)}if(m)o<e.length&&(o=e.length);else{var n=e.length/2;if(i<n)throw new $("Too many math in a row: expected "+i+", but got "+n,e[0])}});for(var c=0;c<o;++c){var u="r",p=0;c%2==1?u="l":0<c&&m&&(p=1),r[c]={type:"align",align:u,pregap:p,postgap:0}}return n.colSeparationType=m?"align":"alignat",n}var $0={c:"center ",l:"left ",r:"right "},Z0=(E0({type:"array",names:["array","darray"],props:{numArgs:1},handler:function(e,t){t=($t(t[0])?[t[0]]:A(t[0],"ordgroup").body).map(function(e){var t=_t(e).text;if(-1!=="lcr".indexOf(t))return{type:"align",align:t};if("|"===t)return{type:"separator",separator:"|"};if(":"===t)return{type:"separator",separator:":"};throw new $("Unknown column alignment: "+t,e)}),t={cols:t,hskipBeforeAndAfter:!0,maxNumCols:t.length};return Y0(e.parser,t,X0(e.envName))},htmlBuilder:W0,mathmlBuilder:j0}),E0({type:"array",names:["matrix","pmatrix","bmatrix","Bmatrix","vmatrix","Vmatrix","matrix*","pmatrix*","bmatrix*","Bmatrix*","vmatrix*","Vmatrix*"],props:{numArgs:0},handler:function(e){var t={matrix:null,pmatrix:["(",")"],bmatrix:["[","]"],Bmatrix:["\\{","\\}"],vmatrix:["|","|"],Vmatrix:["\\Vert","\\Vert"]}[e.envName.replace("*","")],r="c",n={hskipBeforeAndAfter:!1,cols:[{type:"align",align:r}]};if("*"===e.envName.charAt(e.envName.length-1)){var i=e.parser;if(i.consumeSpaces(),"["===i.fetch().text){if(i.consume(),i.consumeSpaces(),r=i.fetch().text,-1==="lcr".indexOf(r))throw new $("Expected l or c or r",i.nextToken);i.consume(),i.consumeSpaces(),i.expect("]"),i.consume(),n.cols=[{type:"align",align:r}]}}i=Y0(e.parser,n,X0(e.envName)),n=Math.max.apply(Math,[0].concat(i.body.map(function(e){return e.length})));return i.cols=new Array(n).fill({type:"align",align:r}),t?{type:"leftright",mode:e.mode,body:[i],left:t[0],right:t[1],rightColor:void 0}:i},htmlBuilder:W0,mathmlBuilder:j0}),E0({type:"array",names:["smallmatrix"],props:{numArgs:0},handler:function(e){e=Y0(e.parser,{arraystretch:.5},"script");return e.colSeparationType="small",e},htmlBuilder:W0,mathmlBuilder:j0}),E0({type:"array",names:["subarray"],props:{numArgs:1},handler:function(e,t){t=($t(t[0])?[t[0]]:A(t[0],"ordgroup").body).map(function(e){var t=_t(e).text;if(-1!=="lc".indexOf(t))return{type:"align",align:t};throw new $("Unknown column alignment: "+t,e)});if(1<t.length)throw new $("{subarray} can contain only one column");if(0<(e=Y0(e.parser,{cols:t,hskipBeforeAndAfter:!1,arraystretch:.5},"script")).body.length&&1<e.body[0].length)throw new $("{subarray} can contain only one column");return e},htmlBuilder:W0,mathmlBuilder:j0}),E0({type:"array",names:["cases","dcases","rcases","drcases"],props:{numArgs:0},handler:function(e){var t=Y0(e.parser,{arraystretch:1.2,cols:[{type:"align",align:"l",pregap:0,postgap:1},{type:"align",align:"l",pregap:0,postgap:0}]},X0(e.envName));return{type:"leftright",mode:e.mode,body:[t],left:-1<e.envName.indexOf("r")?".":"\\{",right:-1<e.envName.indexOf("r")?"\\}":".",rightColor:void 0}},htmlBuilder:W0,mathmlBuilder:j0}),E0({type:"array",names:["align","align*","aligned","split"],props:{numArgs:0},handler:_0,htmlBuilder:W0,mathmlBuilder:j0}),E0({type:"array",names:["gathered","gather","gather*"],props:{numArgs:0},handler:function(e){Z.contains(["gather","gather*"],e.envName)&&G0(e);var t={cols:[{type:"align",align:"c"}],addJot:!0,colSeparationType:"gather",autoTag:U0(e.envName),emptySingleRow:!0,leqno:e.parser.settings.leqno};return Y0(e.parser,t,"display")},htmlBuilder:W0,mathmlBuilder:j0}),E0({type:"array",names:["alignat","alignat*","alignedat"],props:{numArgs:1},handler:_0,htmlBuilder:W0,mathmlBuilder:j0}),E0({type:"array",names:["equation","equation*"],props:{numArgs:0},handler:function(e){G0(e);var t={autoTag:U0(e.envName),emptySingleRow:!0,singleRow:!0,maxNumCols:1,leqno:e.parser.settings.leqno};return Y0(e.parser,t,"display")},htmlBuilder:W0,mathmlBuilder:j0}),E0({type:"array",names:["CD"],props:{numArgs:0},handler:function(e){G0(e);var t=e.parser,r=[];for(t.gullet.beginGroup(),t.gullet.macros.set("\\cr","\\\\\\relax"),t.gullet.beginGroup();;){r.push(t.parseExpression(!1,"\\\\")),t.gullet.endGroup(),t.gullet.beginGroup();var n=t.fetch().text;if("&"!==n&&"\\\\"!==n){if("\\end"!==n)throw new $("Expected \\\\ or \\cr or \\end",t.nextToken);0===r[r.length-1].length&&r.pop();break}t.consume()}for(var i,a=[],o=[a],s=0;s<r.length;s++){for(var l=r[s],h={type:"styling",body:[],mode:"math",style:"display"},m=0;m<l.length;m++)if(Qt(l[m])){a.push(h);var c=_t(l[m+=1]).text,u=new Array(2);if(u[0]={type:"ordgroup",mode:"math",body:[]},u[1]={type:"ordgroup",mode:"math",body:[]},!(-1<"=|.".indexOf(c))){if(!(-1<"<>AV".indexOf(c)))throw new $('Expected one of "<>AV=|." after @',l[m]);for(var p=0;p<2;p++){for(var d=!0,f=m+1;f<l.length;f++){if(("mathord"===(i=l[f]).type||"atom"===i.type)&&i.text===c){d=!1,m=f;break}if(Qt(l[f]))throw new $("Missing a "+c+" character to complete a CD arrow.",l[f]);u[p].body.push(l[f])}if(d)throw new $("Missing a "+c+" character to complete a CD arrow.",l[m])}}var g={type:"styling",body:[function(e,t,r){var n=t0[e];switch(n){case"\\\\cdrightarrow":case"\\\\cdleftarrow":return r.callFunction(n,[t[0]],[t[1]]);case"\\uparrow":case"\\downarrow":var i={type:"atom",text:n,mode:"math",family:"rel"},i={type:"ordgroup",mode:"math",body:[r.callFunction("\\\\cdleft",[t[0]],[]),r.callFunction("\\Big",[i],[]),r.callFunction("\\\\cdright",[t[1]],[])]};return r.callFunction("\\\\cdparent",[i],[]);case"\\\\cdlongequal":return r.callFunction("\\\\cdlongequal",[],[]);case"\\Vert":return r.callFunction("\\Big",[{type:"textord",text:"\\Vert",mode:"math"}],[]);default:return{type:"textord",text:" ",mode:"math"}}}(c,u,t)],mode:"math",style:"display"};a.push(g),h={type:"styling",body:[],mode:"math",style:"display"}}else h.body.push(l[m]);s%2==0?a.push(h):a.shift(),o.push(a=[])}return t.gullet.endGroup(),t.gullet.endGroup(),{type:"array",mode:"math",body:o,arraystretch:1,addJot:!0,rowGaps:[null],cols:new Array(o[0].length).fill({type:"align",align:"c",pregap:.25,postgap:.25}),colSeparationType:"CD",hLinesBeforeRow:new Array(o.length+1).fill([])}},htmlBuilder:W0,mathmlBuilder:j0}),T("\\nonumber","\\gdef\\@eqnsw{0}"),T("\\notag","\\nonumber"),w({type:"text",names:["\\hline","\\hdashline"],props:{numArgs:0,allowedInText:!0,allowedInMath:!0},handler:function(e,t){throw new $(e.funcName+" valid only within array environment")}}),R0),K0=(w({type:"environment",names:["\\begin","\\end"],props:{numArgs:1,argTypes:["text"]},handler:function(e,t){var r=e.parser,e=e.funcName,n=t[0];if("ordgroup"!==n.type)throw new $("Invalid environment name",n);for(var i="",a=0;a<n.body.length;++a)i+=A(n.body[a],"textord").text;if("\\begin"!==e)return{type:"environment",mode:r.mode,name:i,nameGroup:n};if(!Z0.hasOwnProperty(i))throw new $("No such environment: "+i,n);var t=Z0[i],e=r.parseArguments("\\begin{"+i+"}",t),o=e.args,e=e.optArgs,s={mode:r.mode,envName:i,parser:r},t=t.handler(s,o,e),s=(r.expect("\\end",!1),r.nextToken),o=A(r.parseFunction(),"environment");if(o.name!==i)throw new $("Mismatch: \\begin{"+i+"} matched by \\end{"+o.name+"}",s);return t}}),ee.makeSpan);function J0(e,t){var r=te(e.body,t,!0);return K0([e.mclass],r,t)}function Q0(e,t){var r,t=S(e.body,t);return"minner"===e.mclass?r=new M.MathNode("mpadded",t):"mord"===e.mclass?e.isCharacterBox?(r=t[0]).type="mi":r=new M.MathNode("mi",t):(e.isCharacterBox?(r=t[0]).type="mo":r=new M.MathNode("mo",t),"mbin"===e.mclass?(r.attributes.lspace="0.22em",r.attributes.rspace="0.22em"):"mpunct"===e.mclass?(r.attributes.lspace="0em",r.attributes.rspace="0.17em"):"mopen"===e.mclass||"mclose"===e.mclass?(r.attributes.lspace="0em",r.attributes.rspace="0em"):"minner"===e.mclass&&(r.attributes.lspace="0.0556em",r.attributes.width="+0.1111em")),r}w({type:"mclass",names:["\\mathord","\\mathbin","\\mathrel","\\mathopen","\\mathclose","\\mathpunct","\\mathinner"],props:{numArgs:1,primitive:!0},handler:function(e,t){var r=e.parser,e=e.funcName,t=t[0];return{type:"mclass",mode:r.mode,mclass:"m"+e.substr(5),body:k(t),isCharacterBox:Z.isCharacterBox(t)}},htmlBuilder:J0,mathmlBuilder:Q0});function er(e){return"atom"!==(e="ordgroup"===e.type&&e.body.length?e.body[0]:e).type||"bin"!==e.family&&"rel"!==e.family?"mord":"m"+e.family}function tr(e,t){var r=e.font,t=t.withFont(r);return re(e.body,t)}function rr(e,t){var r=e.font,t=t.withFont(r);return z(e.body,t)}w({type:"mclass",names:["\\@binrel"],props:{numArgs:2},handler:function(e,t){return{type:"mclass",mode:e.parser.mode,mclass:er(t[0]),body:k(t[1]),isCharacterBox:Z.isCharacterBox(t[1])}}}),w({type:"mclass",names:["\\stackrel","\\overset","\\underset"],props:{numArgs:2},handler:function(e,t){var r=e.parser,e=e.funcName,n=t[1],t=t[0],i="\\stackrel"!==e?er(n):"mrel",n={type:"op",mode:n.mode,limits:!0,alwaysHandleSupSub:!0,parentIsSupSub:!1,symbol:!1,suppressBaseShift:"\\stackrel"!==e,body:k(n)},n={type:"supsub",mode:t.mode,base:n,sup:"\\underset"===e?null:t,sub:"\\underset"===e?t:null};return{type:"mclass",mode:r.mode,mclass:i,body:[n],isCharacterBox:Z.isCharacterBox(n)}},htmlBuilder:J0,mathmlBuilder:Q0});function nr(e,t){return"display"===e?t=t.id>=K.SCRIPT.id?t.text():K.DISPLAY:"text"===e&&t.size===K.DISPLAY.size?t=K.TEXT:"script"===e?t=K.SCRIPT:"scriptscript"===e&&(t=K.SCRIPTSCRIPT),t}function ir(e,t){var r=nr(e.size,t.style),n=r.fracNum(),i=r.fracDen(),n=t.havingStyle(n),a=re(e.numer,n,t);e.continued&&(m=8.5/t.fontMetrics().ptPerEm,c=3.5/t.fontMetrics().ptPerEm,a.height=a.height<m?m:a.height,a.depth=a.depth<c?c:a.depth),n=t.havingStyle(i);var o,s,l,h,m=re(e.denom,n,t),c=e.hasBarLine?(s=(h=e.barSize?(s=J(e.barSize,t),ee.makeLineSpan("frac-line",t,s)):ee.makeLineSpan("frac-line",t)).height,h.height):(h=null,s=0,t.fontMetrics().defaultRuleThickness),i=r.size===K.DISPLAY.size||"display"===e.size?(o=t.fontMetrics().num1,l=0<s?3*c:7*c,t.fontMetrics().denom1):(l=0<s?(o=t.fontMetrics().num2,c):(o=t.fontMetrics().num3,3*c),t.fontMetrics().denom2);return c=h?(c=t.fontMetrics().axisHeight,o-a.depth-(c+.5*s)<l&&(o+=l-(o-a.depth-(c+.5*s))),c-.5*s-(m.height-i)<l&&(i+=l-(c-.5*s-(m.height-i))),ee.makeVList({positionType:"individualShift",children:[{type:"elem",elem:m,shift:i},{type:"elem",elem:h,shift:-(c-.5*s)},{type:"elem",elem:a,shift:-o}]},t)):((h=o-a.depth-(m.height-i))<l&&(o+=.5*(l-h),i+=.5*(l-h)),ee.makeVList({positionType:"individualShift",children:[{type:"elem",elem:m,shift:i},{type:"elem",elem:a,shift:-o}]},t)),n=t.havingStyle(r),c.height*=n.sizeMultiplier/t.sizeMultiplier,c.depth*=n.sizeMultiplier/t.sizeMultiplier,s=r.size===K.DISPLAY.size?t.fontMetrics().delim1:(r.size===K.SCRIPTSCRIPT.size?t.havingStyle(K.SCRIPT):t).fontMetrics().delim2,l=null==e.leftDelim?vt(t,["mopen"]):T0.customSizedDelim(e.leftDelim,s,!0,t.havingStyle(r),e.mode,["mopen"]),h=e.continued?ee.makeSpan([]):null==e.rightDelim?vt(t,["mclose"]):T0.customSizedDelim(e.rightDelim,s,!0,t.havingStyle(r),e.mode,["mclose"]),ee.makeSpan(["mord"].concat(n.sizingClasses(t)),[l,ee.makeSpan(["mfrac"],[c]),h],t)}function ar(e,t){var r=new M.MathNode("mfrac",[z(e.numer,t),z(e.denom,t)]),n=(e.hasBarLine?e.barSize&&(n=J(e.barSize,t),r.setAttribute("linethickness",Q(n))):r.setAttribute("linethickness","0px"),nr(e.size,t.style));return n.size!==t.style.size&&(r=new M.MathNode("mstyle",[r]),t=n.size===K.DISPLAY.size?"true":"false",r.setAttribute("displaystyle",t),r.setAttribute("scriptlevel","0")),null!=e.leftDelim||null!=e.rightDelim?(n=[],null!=e.leftDelim&&((t=new M.MathNode("mo",[new M.TextNode(e.leftDelim.replace("\\",""))])).setAttribute("fence","true"),n.push(t)),n.push(r),null!=e.rightDelim&&((t=new M.MathNode("mo",[new M.TextNode(e.rightDelim.replace("\\",""))])).setAttribute("fence","true"),n.push(t)),Ot(n)):r}function or(e){var t=null;return t=0<e.length?"."===(t=e)?null:t:t}function sr(e,t){var r,n,i=t.style,i="supsub"===e.type?(r=e.sup?re(e.sup,t.havingStyle(i.sup()),t):re(e.sub,t.havingStyle(i.sub()),t),A(e.base,"horizBrace")):A(e,"horizBrace"),e=re(i.base,t.havingBaseStyle(K.DISPLAY)),a=Ut(i,t);return(i.isOver?(n=ee.makeVList({positionType:"firstBaseline",children:[{type:"elem",elem:e},{type:"kern",size:.1},{type:"elem",elem:a}]},t)).children[0].children[0].children[1]:(n=ee.makeVList({positionType:"bottom",positionData:e.depth+.1+a.height,children:[{type:"elem",elem:a},{type:"kern",size:.1},{type:"elem",elem:e}]},t)).children[0].children[0].children[0]).classes.push("svg-align"),r&&(a=ee.makeSpan(["mord",i.isOver?"mover":"munder"],[n],t),n=i.isOver?ee.makeVList({positionType:"firstBaseline",children:[{type:"elem",elem:a},{type:"kern",size:.2},{type:"elem",elem:r}]},t):ee.makeVList({positionType:"bottom",positionData:a.depth+.2+r.height+r.depth,children:[{type:"elem",elem:r},{type:"kern",size:.2},{type:"elem",elem:a}]},t)),ee.makeSpan(["mord",i.isOver?"mover":"munder"],[n],t)}function lr(e){if(/^[-+]? *(\d+(\.\d*)?|\.\d+)$/.test(e))return{number:+e,unit:"bp"};var t=/([-+]?) *(\d+(?:\.\d*)?|\.\d+) *([a-z]{2})/.exec(e);if(!t)throw new $("Invalid size: '"+e+"' in \\includegraphics");if(e={number:+(t[1]+t[2]),unit:t[3]},fe(e))return e;throw new $("Invalid unit: '"+e.unit+"' in \\includegraphics.")}function hr(e,t){switch(t.style.size){case K.DISPLAY.size:return e.display;case K.TEXT.size:return e.text;case K.SCRIPT.size:return e.script;case K.SCRIPTSCRIPT.size:return e.scriptscript;default:return e.text}}function mr(e,t,r,n,i,a,o){e=ee.makeSpan([],[e]);var s,l,h=r&&Z.isCharacterBox(r);if(t&&(s={elem:t=re(t,n.havingStyle(i.sup()),n),kern:Math.max(n.fontMetrics().bigOpSpacing1,n.fontMetrics().bigOpSpacing3-t.depth)}),r&&(l={elem:t=re(r,n.havingStyle(i.sub()),n),kern:Math.max(n.fontMetrics().bigOpSpacing2,n.fontMetrics().bigOpSpacing4-t.height)}),s&&l)var r=n.fontMetrics().bigOpSpacing5+l.elem.height+l.elem.depth+l.kern+e.depth+o,m=ee.makeVList({positionType:"bottom",positionData:r,children:[{type:"kern",size:n.fontMetrics().bigOpSpacing5},{type:"elem",elem:l.elem,marginLeft:Q(-a)},{type:"kern",size:l.kern},{type:"elem",elem:e},{type:"kern",size:s.kern},{type:"elem",elem:s.elem,marginLeft:Q(a)},{type:"kern",size:n.fontMetrics().bigOpSpacing5}]},n);else if(l){i=e.height-o;m=ee.makeVList({positionType:"top",positionData:i,children:[{type:"kern",size:n.fontMetrics().bigOpSpacing5},{type:"elem",elem:l.elem,marginLeft:Q(-a)},{type:"kern",size:l.kern},{type:"elem",elem:e}]},n)}else{if(!s)return e;t=e.depth+o;m=ee.makeVList({positionType:"bottom",positionData:t,children:[{type:"elem",elem:e},{type:"kern",size:s.kern},{type:"elem",elem:s.elem,marginLeft:Q(a)},{type:"kern",size:n.fontMetrics().bigOpSpacing5}]},n)}return r=[m],l&&0!==a&&!h&&((i=ee.makeSpan(["mspace"],[],n)).style.marginRight=Q(a),r.unshift(i)),ee.makeSpan(["mop","op-limits"],r,n)}function cr(e,t){var r,n,i,a=!1,e=("supsub"===e.type?(r=e.sup,n=e.sub,i=A(e.base,"op"),a=!0):i=A(e,"op"),t.style),o=!1;if(e.size===K.DISPLAY.size&&i.symbol&&!Z.contains(gr,i.name)&&(o=!0),i.symbol){var s,l=o?"Size2-Regular":"Size1-Regular",h="";"\\oiint"!==i.name&&"\\oiiint"!==i.name||(h=i.name.substr(1),i.name="oiint"===h?"\\iint":"\\iiint"),l=ee.makeSymbol(i.name,l,"math",t,["mop","op-symbol",o?"large-op":"small-op"]),0<h.length&&(s=l.italic,m=ee.staticSvg(h+"Size"+(o?"2":"1"),t),l=ee.makeVList({positionType:"individualShift",children:[{type:"elem",elem:l,shift:0},{type:"elem",elem:m,shift:o?.08:0}]},t),i.name="\\"+h,l.classes.unshift("mop"),l.italic=s)}else if(i.body){var m=te(i.body,t,!0);1===m.length&&m[0]instanceof b?(l=m[0]).classes[0]="mop":l=ee.makeSpan(["mop"],m,t)}else{for(var c=[],u=1;u<i.name.length;u++)c.push(ee.mathsym(i.name[u],i.mode,t));l=ee.makeSpan(["mop"],c,t)}return h=o=0,(l instanceof b||"\\oiint"===i.name||"\\oiiint"===i.name)&&!i.suppressBaseShift&&(o=(l.height-l.depth)/2-t.fontMetrics().axisHeight,h=l.italic),a?mr(l,r,n,t,e,h,o):(o&&(l.style.position="relative",l.style.top=Q(o)),l)}function ur(e,t){var r;return e.symbol?(r=new Ht("mo",[It(e.name,e.mode)]),Z.contains(gr,e.name)&&r.setAttribute("largeop","false")):r=e.body?new Ht("mo",S(e.body,t)):(r=new Ht("mi",[new Lt(e.name.slice(1))]),t=new Ht("mo",[It("⁡","text")]),e.parentIsSupSub?new Ht("mrow",[r,t]):qt([r,t])),r}function pr(e,t){var r,n,i,a,o=!1;if("supsub"===e.type?(r=e.sup,n=e.sub,i=A(e.base,"operatorname"),o=!0):i=A(e,"operatorname"),0<i.body.length){for(var e=i.body.map(function(e){var t=e.text;return"string"==typeof t?{type:"textord",mode:e.mode,text:t}:e}),s=te(e,t.withFont("mathrm"),!0),l=0;l<s.length;l++){var h=s[l];h instanceof b&&(h.text=h.text.replace(/\u2212/,"-").replace(/\u2217/,"*"))}a=ee.makeSpan(["mop"],s,t)}else a=ee.makeSpan(["mop"],[],t);return o?mr(a,r,n,t,t.style,0,0):a}var dr={"\\Bbb":"\\mathbb","\\bold":"\\mathbf","\\frak":"\\mathfrak","\\bm":"\\boldsymbol"},fr=(w({type:"font",names:["\\mathrm","\\mathit","\\mathbf","\\mathnormal","\\mathbb","\\mathcal","\\mathfrak","\\mathscr","\\mathsf","\\mathtt","\\Bbb","\\bold","\\frak"],props:{numArgs:1,allowedInArgument:!0},handler:function(e,t){var r=e.parser,e=e.funcName,t=bt(t[0]);return{type:"font",mode:r.mode,font:(e=e in dr?dr[e]:e).slice(1),body:t}},htmlBuilder:tr,mathmlBuilder:rr}),w({type:"mclass",names:["\\boldsymbol","\\bm"],props:{numArgs:1},handler:function(e,t){var e=e.parser,t=t[0],r=Z.isCharacterBox(t);return{type:"mclass",mode:e.mode,mclass:er(t),body:[{type:"font",mode:e.mode,font:"boldsymbol",body:t}],isCharacterBox:r}}}),w({type:"font",names:["\\rm","\\sf","\\tt","\\bf","\\it","\\cal"],props:{numArgs:0,allowedInText:!0},handler:function(e,t){var r=e.parser,n=e.funcName,e=e.breakOnTokenText,i=r.mode,e=r.parseExpression(!0,e);return{type:"font",mode:i,font:"math"+n.slice(1),body:{type:"ordgroup",mode:r.mode,body:e}}},htmlBuilder:tr,mathmlBuilder:rr}),w({type:"genfrac",names:["\\dfrac","\\frac","\\tfrac","\\dbinom","\\binom","\\tbinom","\\\\atopfrac","\\\\bracefrac","\\\\brackfrac"],props:{numArgs:2,allowedInArgument:!0},handler:function(e,t){var r,n=e.parser,e=e.funcName,i=t[0],t=t[1],a=null,o=null,s="auto";switch(e){case"\\dfrac":case"\\frac":case"\\tfrac":r=!0;break;case"\\\\atopfrac":r=!1;break;case"\\dbinom":case"\\binom":case"\\tbinom":r=!1,a="(",o=")";break;case"\\\\bracefrac":r=!1,a="\\{",o="\\}";break;case"\\\\brackfrac":r=!1,a="[",o="]";break;default:throw new Error("Unrecognized genfrac command")}switch(e){case"\\dfrac":case"\\dbinom":s="display";break;case"\\tfrac":case"\\tbinom":s="text"}return{type:"genfrac",mode:n.mode,continued:!1,numer:i,denom:t,hasBarLine:r,leftDelim:a,rightDelim:o,size:s,barSize:null}},htmlBuilder:ir,mathmlBuilder:ar}),w({type:"genfrac",names:["\\cfrac"],props:{numArgs:2},handler:function(e,t){var r=e.parser,e=(e.funcName,t[0]),t=t[1];return{type:"genfrac",mode:r.mode,continued:!0,numer:e,denom:t,hasBarLine:!0,leftDelim:null,rightDelim:null,size:"display",barSize:null}}}),w({type:"infix",names:["\\over","\\choose","\\atop","\\brace","\\brack"],props:{numArgs:0,infix:!0},handler:function(e){var t,r=e.parser,n=e.funcName,e=e.token;switch(n){case"\\over":t="\\frac";break;case"\\choose":t="\\binom";break;case"\\atop":t="\\\\atopfrac";break;case"\\brace":t="\\\\bracefrac";break;case"\\brack":t="\\\\brackfrac";break;default:throw new Error("Unrecognized infix genfrac command")}return{type:"infix",mode:r.mode,replaceWith:t,token:e}}}),["display","text","script","scriptscript"]),gr=(w({type:"genfrac",names:["\\genfrac"],props:{numArgs:6,allowedInArgument:!0,argTypes:["math","math","size","text","math","math"]},handler:function(e,t){var r,e=e.parser,n=t[4],i=t[5],a=bt(t[0]),a="atom"===a.type&&"open"===a.family?or(a.text):null,o=bt(t[1]),o="atom"===o.type&&"close"===o.family?or(o.text):null,s=A(t[2],"size"),l=null,s=!!s.isBlank||0<(l=s.value).number,h="auto",t=t[3];return"ordgroup"===t.type?0<t.body.length&&(r=A(t.body[0],"textord"),h=fr[Number(r.text)]):(t=A(t,"textord"),h=fr[Number(t.text)]),{type:"genfrac",mode:e.mode,numer:n,denom:i,continued:!1,hasBarLine:s,barSize:l,leftDelim:a,rightDelim:o,size:h}},htmlBuilder:ir,mathmlBuilder:ar}),w({type:"infix",names:["\\above"],props:{numArgs:1,argTypes:["size"],infix:!0},handler:function(e,t){var r=e.parser,e=(e.funcName,e.token);return{type:"infix",mode:r.mode,replaceWith:"\\\\abovefrac",size:A(t[0],"size").value,token:e}}}),w({type:"genfrac",names:["\\\\abovefrac"],props:{numArgs:3,argTypes:["math","size","math"]},handler:function(e,t){var r=e.parser,e=(e.funcName,t[0]),n=function(e){if(e)return e;throw new Error("Expected non-null, but got "+String(e))}(A(t[1],"infix").size),t=t[2],i=0<n.number;return{type:"genfrac",mode:r.mode,numer:e,denom:t,continued:!1,hasBarLine:i,barSize:n,leftDelim:null,rightDelim:null,size:"auto"}},htmlBuilder:ir,mathmlBuilder:ar}),w({type:"horizBrace",names:["\\overbrace","\\underbrace"],props:{numArgs:1},handler:function(e,t){var r=e.parser,e=e.funcName;return{type:"horizBrace",mode:r.mode,label:e,isOver:/^\\over/.test(e),base:t[0]}},htmlBuilder:sr,mathmlBuilder:function(e,t){var r=Gt(e.label);return new M.MathNode(e.isOver?"mover":"munder",[z(e.base,t),r])}}),w({type:"href",names:["\\href"],props:{numArgs:2,argTypes:["url","original"],allowedInText:!0},handler:function(e,t){var e=e.parser,r=t[1],t=A(t[0],"url").url;return e.settings.isTrusted({command:"\\href",url:t})?{type:"href",mode:e.mode,href:t,body:k(r)}:e.formatUnsupportedCmd("\\href")},htmlBuilder:function(e,t){var r=te(e.body,t,!1);return ee.makeAnchor(e.href,[],r,t)},mathmlBuilder:function(e,t){t=Et(e.body,t);return(t=t instanceof Ht?t:new Ht("mrow",[t])).setAttribute("href",e.href),t}}),w({type:"href",names:["\\url"],props:{numArgs:1,argTypes:["url"],allowedInText:!0},handler:function(e,t){var e=e.parser,r=A(t[0],"url").url;if(!e.settings.isTrusted({command:"\\url",url:r}))return e.formatUnsupportedCmd("\\url");for(var n=[],i=0;i<r.length;i++){var a=r[i];"~"===a&&(a="\\textasciitilde"),n.push({type:"textord",mode:"text",text:a})}t={type:"text",mode:e.mode,font:"\\texttt",body:n};return{type:"href",mode:e.mode,href:r,body:k(t)}}}),w({type:"hbox",names:["\\hbox"],props:{numArgs:1,argTypes:["text"],allowedInText:!0,primitive:!0},handler:function(e,t){return{type:"hbox",mode:e.parser.mode,body:k(t[0])}},htmlBuilder:function(e,t){e=te(e.body,t,!1);return ee.makeFragment(e)},mathmlBuilder:function(e,t){return new M.MathNode("mrow",S(e.body,t))}}),w({type:"html",names:["\\htmlClass","\\htmlId","\\htmlStyle","\\htmlData"],props:{numArgs:2,argTypes:["raw","original"],allowedInText:!0},handler:function(e,t){var r,n=e.parser,i=e.funcName,a=(e.token,A(t[0],"raw").string),e=t[1],o=(n.settings.strict&&n.settings.reportNonstrict("htmlExtension","HTML extension is disabled on strict mode"),{});switch(i){case"\\htmlClass":r={command:"\\htmlClass",class:o.class=a};break;case"\\htmlId":r={command:"\\htmlId",id:o.id=a};break;case"\\htmlStyle":r={command:"\\htmlStyle",style:o.style=a};break;case"\\htmlData":for(var s=a.split(","),l=0;l<s.length;l++){var h=s[l].split("=");if(2!==h.length)throw new $("Error parsing key-value for \\htmlData");o["data-"+h[0].trim()]=h[1].trim()}r={command:"\\htmlData",attributes:o};break;default:throw new Error("Unrecognized html command")}return n.settings.isTrusted(r)?{type:"html",mode:n.mode,attributes:o,body:k(e)}:n.formatUnsupportedCmd(i)},htmlBuilder:function(e,t){var r,n=te(e.body,t,!1),i=["enclosing"],a=(e.attributes.class&&i.push.apply(i,e.attributes.class.trim().split(/\s+/)),ee.makeSpan(i,n,t));for(r in e.attributes)"class"!==r&&e.attributes.hasOwnProperty(r)&&a.setAttribute(r,e.attributes[r]);return a},mathmlBuilder:function(e,t){return Et(e.body,t)}}),w({type:"htmlmathml",names:["\\html@mathml"],props:{numArgs:2,allowedInText:!0},handler:function(e,t){return{type:"htmlmathml",mode:e.parser.mode,html:k(t[0]),mathml:k(t[1])}},htmlBuilder:function(e,t){e=te(e.html,t,!1);return ee.makeFragment(e)},mathmlBuilder:function(e,t){return Et(e.mathml,t)}}),w({type:"includegraphics",names:["\\includegraphics"],props:{numArgs:1,numOptionalArgs:1,argTypes:["raw","url"],allowedInText:!1},handler:function(e,t,r){var e=e.parser,n={number:0,unit:"em"},i={number:.9,unit:"em"},a={number:0,unit:"em"},o="";if(r[0])for(var s=A(r[0],"raw").string.split(","),l=0;l<s.length;l++){var h=s[l].split("=");if(2===h.length){var m=h[1].trim();switch(h[0].trim()){case"alt":o=m;break;case"width":n=lr(m);break;case"height":i=lr(m);break;case"totalheight":a=lr(m);break;default:throw new $("Invalid key: '"+h[0]+"' in \\includegraphics.")}}}r=A(t[0],"url").url;return""===o&&(o=(o=(o=r).replace(/^.*[\\/]/,"")).substring(0,o.lastIndexOf("."))),e.settings.isTrusted({command:"\\includegraphics",url:r})?{type:"includegraphics",mode:e.mode,alt:o,width:n,height:i,totalheight:a,src:r}:e.formatUnsupportedCmd("\\includegraphics")},htmlBuilder:function(e,t){var r=J(e.height,t),n=0,i=(0<e.totalheight.number&&(n=J(e.totalheight,t)-r),0),t=(0<e.width.number&&(i=J(e.width,t)),{height:Q(r+n)}),i=(0<i&&(t.width=Q(i)),0<n&&(t.verticalAlign=Q(-n)),new ze(e.src,e.alt,t));return i.height=r,i.depth=n,i},mathmlBuilder:function(e,t){var r=new M.MathNode("mglyph",[]),n=(r.setAttribute("alt",e.alt),J(e.height,t)),i=0;return 0<e.totalheight.number&&(i=J(e.totalheight,t)-n,r.setAttribute("valign",Q(-i))),r.setAttribute("height",Q(n+i)),0<e.width.number&&(n=J(e.width,t),r.setAttribute("width",Q(n))),r.setAttribute("src",e.src),r}}),w({type:"kern",names:["\\kern","\\mkern","\\hskip","\\mskip"],props:{numArgs:1,argTypes:["size"],primitive:!0,allowedInText:!0},handler:function(e,t){var r,n,i=e.parser,e=e.funcName,t=A(t[0],"size");return i.settings.strict&&(r="m"===e[1],n="mu"===t.value.unit,r?(n||i.settings.reportNonstrict("mathVsTextUnits","LaTeX's "+e+" supports only mu units, not "+t.value.unit+" units"),"math"!==i.mode&&i.settings.reportNonstrict("mathVsTextUnits","LaTeX's "+e+" works only in math mode")):n&&i.settings.reportNonstrict("mathVsTextUnits","LaTeX's "+e+" doesn't support mu units")),{type:"kern",mode:i.mode,dimension:t.value}},htmlBuilder:function(e,t){return ee.makeGlue(e.dimension,t)},mathmlBuilder:function(e,t){e=J(e.dimension,t);return new M.SpaceNode(e)}}),w({type:"lap",names:["\\mathllap","\\mathrlap","\\mathclap"],props:{numArgs:1,allowedInText:!0},handler:function(e,t){var r=e.parser,e=e.funcName,t=t[0];return{type:"lap",mode:r.mode,alignment:e.slice(5),body:t}},htmlBuilder:function(e,t){var r="clap"===e.alignment?(r=ee.makeSpan([],[re(e.body,t)]),ee.makeSpan(["inner"],[r],t)):ee.makeSpan(["inner"],[re(e.body,t)]),n=ee.makeSpan(["fix"],[]),e=ee.makeSpan([e.alignment],[r,n],t),r=ee.makeSpan(["strut"]);return r.style.height=Q(e.height+e.depth),e.depth&&(r.style.verticalAlign=Q(-e.depth)),e.children.unshift(r),e=ee.makeSpan(["thinbox"],[e],t),ee.makeSpan(["mord","vbox"],[e],t)},mathmlBuilder:function(e,t){t=new M.MathNode("mpadded",[z(e.body,t)]);return"rlap"!==e.alignment&&(e="llap"===e.alignment?"-1":"-0.5",t.setAttribute("lspace",e+"width")),t.setAttribute("width","0px"),t}}),w({type:"styling",names:["\\(","$"],props:{numArgs:0,allowedInText:!0,allowedInMath:!1},handler:function(e,t){var r=e.funcName,e=e.parser,n=e.mode,r=(e.switchMode("math"),"\\("===r?"\\)":"$"),i=e.parseExpression(!1,r);return e.expect(r),e.switchMode(n),{type:"styling",mode:e.mode,style:"text",body:i}}}),w({type:"text",names:["\\)","\\]"],props:{numArgs:0,allowedInText:!0,allowedInMath:!1},handler:function(e,t){throw new $("Mismatched "+e.funcName)}}),w({type:"mathchoice",names:["\\mathchoice"],props:{numArgs:4,primitive:!0},handler:function(e,t){return{type:"mathchoice",mode:e.parser.mode,display:k(t[0]),text:k(t[1]),script:k(t[2]),scriptscript:k(t[3])}},htmlBuilder:function(e,t){e=hr(e,t),e=te(e,t,!1);return ee.makeFragment(e)},mathmlBuilder:function(e,t){e=hr(e,t);return Et(e,t)}}),["\\smallint"]),yr={"∏":"\\prod","∐":"\\coprod","∑":"\\sum","⋀":"\\bigwedge","⋁":"\\bigvee","⋂":"\\bigcap","⋃":"\\bigcup","⨀":"\\bigodot","⨁":"\\bigoplus","⨂":"\\bigotimes","⨄":"\\biguplus","⨆":"\\bigsqcup"},br=(w({type:"op",names:["\\coprod","\\bigvee","\\bigwedge","\\biguplus","\\bigcap","\\bigcup","\\intop","\\prod","\\sum","\\bigotimes","\\bigoplus","\\bigodot","\\bigsqcup","\\smallint","∏","∐","∑","⋀","⋁","⋂","⋃","⨀","⨁","⨂","⨄","⨆"],props:{numArgs:0},handler:function(e,t){var r=e.parser,e=e.funcName;return 1===e.length&&(e=yr[e]),{type:"op",mode:r.mode,limits:!0,parentIsSupSub:!1,symbol:!0,name:e}},htmlBuilder:cr,mathmlBuilder:ur}),w({type:"op",names:["\\mathop"],props:{numArgs:1,primitive:!0},handler:function(e,t){e=e.parser,t=t[0];return{type:"op",mode:e.mode,limits:!1,parentIsSupSub:!1,symbol:!1,body:k(t)}},htmlBuilder:cr,mathmlBuilder:ur}),{"∫":"\\int","∬":"\\iint","∭":"\\iiint","∮":"\\oint","∯":"\\oiint","∰":"\\oiiint"});w({type:"op",names:["\\arcsin","\\arccos","\\arctan","\\arctg","\\arcctg","\\arg","\\ch","\\cos","\\cosec","\\cosh","\\cot","\\cotg","\\coth","\\csc","\\ctg","\\cth","\\deg","\\dim","\\exp","\\hom","\\ker","\\lg","\\ln","\\log","\\sec","\\sin","\\sinh","\\sh","\\tan","\\tanh","\\tg","\\th"],props:{numArgs:0},handler:function(e){var t=e.parser,e=e.funcName;return{type:"op",mode:t.mode,limits:!1,parentIsSupSub:!1,symbol:!1,name:e}},htmlBuilder:cr,mathmlBuilder:ur}),w({type:"op",names:["\\det","\\gcd","\\inf","\\lim","\\max","\\min","\\Pr","\\sup"],props:{numArgs:0},handler:function(e){var t=e.parser,e=e.funcName;return{type:"op",mode:t.mode,limits:!0,parentIsSupSub:!1,symbol:!1,name:e}},htmlBuilder:cr,mathmlBuilder:ur}),w({type:"op",names:["\\int","\\iint","\\iiint","\\oint","\\oiint","\\oiiint","∫","∬","∭","∮","∯","∰"],props:{numArgs:0},handler:function(e){var t=e.parser,e=e.funcName;return 1===e.length&&(e=br[e]),{type:"op",mode:t.mode,limits:!1,parentIsSupSub:!1,symbol:!0,name:e}},htmlBuilder:cr,mathmlBuilder:ur});function xr(e,t,r){for(var n=te(e,t,!1),i=t.sizeMultiplier/r.sizeMultiplier,a=0;a<n.length;a++){var o=n[a].classes.indexOf("sizing");o<0?Array.prototype.push.apply(n[a].classes,t.sizingClasses(r)):n[a].classes[o+1]==="reset-size"+t.size&&(n[a].classes[o+1]="reset-size"+r.size),n[a].height*=i,n[a].depth*=i}return ee.makeFragment(n)}w({type:"operatorname",names:["\\operatorname@","\\operatornamewithlimits"],props:{numArgs:1},handler:function(e,t){var r=e.parser,e=e.funcName,t=t[0];return{type:"operatorname",mode:r.mode,body:k(t),alwaysHandleSupSub:"\\operatornamewithlimits"===e,limits:!1,parentIsSupSub:!1}},htmlBuilder:pr,mathmlBuilder:function(e,t){for(var r=S(e.body,t.withFont("mathrm")),n=!0,i=0;i<r.length;i++){var a=r[i];if(!(a instanceof M.SpaceNode))if(a instanceof M.MathNode)switch(a.type){case"mi":case"mn":case"ms":case"mspace":case"mtext":break;case"mo":var o=a.children[0];1===a.children.length&&o instanceof M.TextNode?o.text=o.text.replace(/\u2212/,"-").replace(/\u2217/,"*"):n=!1;break;default:n=!1}else n=!1}n&&(t=r.map(function(e){return e.toText()}).join(""),r=[new M.TextNode(t)]);var t=new M.MathNode("mi",r),s=(t.setAttribute("mathvariant","normal"),new M.MathNode("mo",[It("⁡","text")]));return e.parentIsSupSub?new M.MathNode("mrow",[t,s]):M.newDocumentFragment([t,s])}}),T("\\operatorname","\\@ifstar\\operatornamewithlimits\\operatorname@"),yt({type:"ordgroup",htmlBuilder:function(e,t){return e.semisimple?ee.makeFragment(te(e.body,t,!1)):ee.makeSpan(["mord"],te(e.body,t,!0),t)},mathmlBuilder:function(e,t){return Et(e.body,t,!0)}}),w({type:"overline",names:["\\overline"],props:{numArgs:1},handler:function(e,t){e=e.parser,t=t[0];return{type:"overline",mode:e.mode,body:t}},htmlBuilder:function(e,t){var e=re(e.body,t.havingCrampedStyle()),r=ee.makeLineSpan("overline-line",t),n=t.fontMetrics().defaultRuleThickness,e=ee.makeVList({positionType:"firstBaseline",children:[{type:"elem",elem:e},{type:"kern",size:3*n},{type:"elem",elem:r},{type:"kern",size:n}]},t);return ee.makeSpan(["mord","overline"],[e],t)},mathmlBuilder:function(e,t){var r=new M.MathNode("mo",[new M.TextNode("‾")]),e=(r.setAttribute("stretchy","true"),new M.MathNode("mover",[z(e.body,t),r]));return e.setAttribute("accent","true"),e}}),w({type:"phantom",names:["\\phantom"],props:{numArgs:1,allowedInText:!0},handler:function(e,t){e=e.parser,t=t[0];return{type:"phantom",mode:e.mode,body:k(t)}},htmlBuilder:function(e,t){e=te(e.body,t.withPhantom(),!1);return ee.makeFragment(e)},mathmlBuilder:function(e,t){e=S(e.body,t);return new M.MathNode("mphantom",e)}}),w({type:"hphantom",names:["\\hphantom"],props:{numArgs:1,allowedInText:!0},handler:function(e,t){e=e.parser,t=t[0];return{type:"hphantom",mode:e.mode,body:t}},htmlBuilder:function(e,t){var r=ee.makeSpan([],[re(e.body,t.withPhantom())]);if(r.height=0,r.depth=0,r.children)for(var n=0;n<r.children.length;n++)r.children[n].height=0,r.children[n].depth=0;return r=ee.makeVList({positionType:"firstBaseline",children:[{type:"elem",elem:r}]},t),ee.makeSpan(["mord"],[r],t)},mathmlBuilder:function(e,t){e=S(k(e.body),t),t=new M.MathNode("mphantom",e),e=new M.MathNode("mpadded",[t]);return e.setAttribute("height","0px"),e.setAttribute("depth","0px"),e}}),w({type:"vphantom",names:["\\vphantom"],props:{numArgs:1,allowedInText:!0},handler:function(e,t){e=e.parser,t=t[0];return{type:"vphantom",mode:e.mode,body:t}},htmlBuilder:function(e,t){var e=ee.makeSpan(["inner"],[re(e.body,t.withPhantom())]),r=ee.makeSpan(["fix"],[]);return ee.makeSpan(["mord","rlap"],[e,r],t)},mathmlBuilder:function(e,t){e=S(k(e.body),t),t=new M.MathNode("mphantom",e),e=new M.MathNode("mpadded",[t]);return e.setAttribute("width","0px"),e}}),w({type:"raisebox",names:["\\raisebox"],props:{numArgs:2,argTypes:["size","hbox"],allowedInText:!0},handler:function(e,t){var e=e.parser,r=A(t[0],"size").value,t=t[1];return{type:"raisebox",mode:e.mode,dy:r,body:t}},htmlBuilder:function(e,t){var r=re(e.body,t),e=J(e.dy,t);return ee.makeVList({positionType:"shift",positionData:-e,children:[{type:"elem",elem:r}]},t)},mathmlBuilder:function(e,t){t=new M.MathNode("mpadded",[z(e.body,t)]),e=e.dy.number+e.dy.unit;return t.setAttribute("voffset",e),t}}),w({type:"internal",names:["\\relax"],props:{numArgs:0,allowedInText:!0},handler:function(e){return{type:"internal",mode:e.parser.mode}}}),w({type:"rule",names:["\\rule"],props:{numArgs:2,numOptionalArgs:1,argTypes:["size","size","size"]},handler:function(e,t,r){var e=e.parser,r=r[0],n=A(t[0],"size"),t=A(t[1],"size");return{type:"rule",mode:e.mode,shift:r&&A(r,"size").value,width:n.value,height:t.value}},htmlBuilder:function(e,t){var r=ee.makeSpan(["mord","rule"],[],t),n=J(e.width,t),i=J(e.height,t),e=e.shift?J(e.shift,t):0;return r.style.borderRightWidth=Q(n),r.style.borderTopWidth=Q(i),r.style.bottom=Q(e),r.width=n,r.height=i+e,r.depth=-e,r.maxFontSize=1.125*i*t.sizeMultiplier,r},mathmlBuilder:function(e,t){var r=J(e.width,t),n=J(e.height,t),e=e.shift?J(e.shift,t):0,t=t.color&&t.getColor()||"black",i=new M.MathNode("mspace"),t=(i.setAttribute("mathbackground",t),i.setAttribute("width",Q(r)),i.setAttribute("height",Q(n)),new M.MathNode("mpadded",[i]));return 0<=e?t.setAttribute("height",Q(e)):(t.setAttribute("height",Q(e)),t.setAttribute("depth",Q(-e))),t.setAttribute("voffset",Q(e)),t}});function vr(){var e=new M.MathNode("mtd",[]);return e.setAttribute("width","50%"),e}function wr(e,t){return(e=e.font)?Tr[e]?t.withTextFontFamily(Tr[e]):Br[e]?t.withTextFontWeight(Br[e]):t.withTextFontShape(Cr[e]):t}var kr=["\\tiny","\\sixptsize","\\scriptsize","\\footnotesize","\\small","\\normalsize","\\large","\\Large","\\LARGE","\\huge","\\Huge"],Sr=(w({type:"sizing",names:kr,props:{numArgs:0,allowedInText:!0},handler:function(e,t){var r=e.breakOnTokenText,n=e.funcName,e=e.parser,r=e.parseExpression(!1,r);return{type:"sizing",mode:e.mode,size:kr.indexOf(n)+1,body:r}},htmlBuilder:function(e,t){var r=t.havingSize(e.size);return xr(e.body,r,t)},mathmlBuilder:function(e,t){t=t.havingSize(e.size),e=S(e.body,t),e=new M.MathNode("mstyle",e);return e.setAttribute("mathsize",Q(t.sizeMultiplier)),e}}),w({type:"smash",names:["\\smash"],props:{numArgs:1,numOptionalArgs:1,allowedInText:!0},handler:function(e,t,r){var e=e.parser,n=!1,i=!1,a=r[0]&&A(r[0],"ordgroup");if(a)for(var o,s=0;s<a.body.length;++s)if("t"===(o=a.body[s].text))n=!0;else{if("b"!==o){i=n=!1;break}i=!0}else i=n=!0;r=t[0];return{type:"smash",mode:e.mode,body:r,smashHeight:n,smashDepth:i}},htmlBuilder:function(e,t){var r=ee.makeSpan([],[re(e.body,t)]);if(!e.smashHeight&&!e.smashDepth)return r;if(e.smashHeight&&(r.height=0,r.children))for(var n=0;n<r.children.length;n++)r.children[n].height=0;if(e.smashDepth&&(r.depth=0,r.children))for(var i=0;i<r.children.length;i++)r.children[i].depth=0;e=ee.makeVList({positionType:"firstBaseline",children:[{type:"elem",elem:r}]},t);return ee.makeSpan(["mord"],[e],t)},mathmlBuilder:function(e,t){t=new M.MathNode("mpadded",[z(e.body,t)]);return e.smashHeight&&t.setAttribute("height","0px"),e.smashDepth&&t.setAttribute("depth","0px"),t}}),w({type:"sqrt",names:["\\sqrt"],props:{numArgs:1,numOptionalArgs:1},handler:function(e,t,r){e=e.parser,r=r[0],t=t[0];return{type:"sqrt",mode:e.mode,body:t,index:r}},htmlBuilder:function(e,t){var r=re(e.body,t.havingCrampedStyle()),n=(0===r.height&&(r.height=t.fontMetrics().xHeight),r=ee.wrapFragment(r,t),t.fontMetrics().defaultRuleThickness),i=n,i=n+(i=t.style.id<K.TEXT.id?t.fontMetrics().xHeight:i)/4,n=r.height+r.depth+i+n,n=T0.sqrtImage(n,t),a=n.span,o=n.ruleWidth,n=n.advanceWidth,s=a.height-o,s=(s>r.height+r.depth+i&&(i=(i+s-r.height-r.depth)/2),a.height-r.height-i-o),i=(r.style.paddingLeft=Q(n),ee.makeVList({positionType:"firstBaseline",children:[{type:"elem",elem:r,wrapperClasses:["svg-align"]},{type:"kern",size:-(r.height+s)},{type:"elem",elem:a},{type:"kern",size:o}]},t));return e.index?(n=t.havingStyle(K.SCRIPTSCRIPT),r=re(e.index,n,t),s=.6*(i.height-i.depth),a=ee.makeVList({positionType:"shift",positionData:-s,children:[{type:"elem",elem:r}]},t),o=ee.makeSpan(["root"],[a]),ee.makeSpan(["mord","sqrt"],[o,i],t)):ee.makeSpan(["mord","sqrt"],[i],t)},mathmlBuilder:function(e,t){var r=e.body,e=e.index;return e?new M.MathNode("mroot",[z(r,t),z(e,t)]):new M.MathNode("msqrt",[z(r,t)])}}),{display:K.DISPLAY,text:K.TEXT,script:K.SCRIPT,scriptscript:K.SCRIPTSCRIPT}),Mr=(w({type:"styling",names:["\\displaystyle","\\textstyle","\\scriptstyle","\\scriptscriptstyle"],props:{numArgs:0,allowedInText:!0,primitive:!0},handler:function(e,t){var r=e.breakOnTokenText,n=e.funcName,e=e.parser,r=e.parseExpression(!0,r),n=n.slice(1,n.length-5);return{type:"styling",mode:e.mode,style:n,body:r}},htmlBuilder:function(e,t){var r=Sr[e.style],r=t.havingStyle(r).withFont("");return xr(e.body,r,t)},mathmlBuilder:function(e,t){var r=Sr[e.style],t=t.havingStyle(r),r=S(e.body,t),t=new M.MathNode("mstyle",r),r={display:["0","true"],text:["0","false"],script:["1","false"],scriptscript:["2","false"]}[e.style];return t.setAttribute("scriptlevel",r[0]),t.setAttribute("displaystyle",r[1]),t}}),yt({type:"supsub",htmlBuilder:function(e,t){r=t;var r=(o=(a=e).base)?"op"===o.type?o.limits&&(r.style.size===K.DISPLAY.size||o.alwaysHandleSupSub)?cr:null:"operatorname"===o.type?o.alwaysHandleSupSub&&(r.style.size===K.DISPLAY.size||o.limits)?pr:null:"accent"===o.type?Z.isCharacterBox(o.base)?Zt:null:"horizBrace"===o.type&&!a.sub===o.isOver?sr:null:null;if(r)return r(e,t);var n,i,a=e.base,o=e.sup,r=e.sub,s=re(a,t),l=t.fontMetrics(),h=0,m=0,a=a&&Z.isCharacterBox(a),c=(o&&(c=t.havingStyle(t.style.sup()),n=re(o,c,t),a||(h=s.height-c.fontMetrics().supDrop*c.sizeMultiplier/t.sizeMultiplier)),r&&(o=t.havingStyle(t.style.sub()),i=re(r,o,t),a||(m=s.depth+o.fontMetrics().subDrop*o.sizeMultiplier/t.sizeMultiplier)),t.style===K.DISPLAY?l.sup1:t.style.cramped?l.sup3:l.sup2),r=t.sizeMultiplier,a=Q(.5/l.ptPerEm/r),o=null;if(i&&(r=e.base&&"op"===e.base.type&&e.base.name&&("\\oiint"===e.base.name||"\\oiiint"===e.base.name),(s instanceof b||r)&&(o=Q(-s.italic))),n&&i){h=Math.max(h,c,n.depth+.25*l.xHeight),m=Math.max(m,l.sub2);e=4*l.defaultRuleThickness;h-n.depth-(i.height-m)<e&&(m=e-(h-n.depth)+i.height,0<(r=.8*l.xHeight-(h-n.depth))&&(h+=r,m-=r));var u=ee.makeVList({positionType:"individualShift",children:[{type:"elem",elem:i,shift:m,marginRight:a,marginLeft:o},{type:"elem",elem:n,shift:-h,marginRight:a}]},t)}else if(i)m=Math.max(m,l.sub1,i.height-.8*l.xHeight),u=ee.makeVList({positionType:"shift",positionData:m,children:[{type:"elem",elem:i,marginLeft:o,marginRight:a}]},t);else{if(!n)throw new Error("supsub must have either sup or sub.");h=Math.max(h,c,n.depth+.25*l.xHeight),u=ee.makeVList({positionType:"shift",positionData:-h,children:[{type:"elem",elem:n,marginRight:a}]},t)}e=Bt(s,"right")||"mord";return ee.makeSpan([e],[s,ee.makeSpan(["msupsub"],[u])],t)},mathmlBuilder:function(e,t){var r=!1;e.base&&"horizBrace"===e.base.type&&!!e.sup===e.base.isOver&&(r=!0,n=e.base.isOver),!e.base||"op"!==e.base.type&&"operatorname"!==e.base.type||(e.base.parentIsSupSub=!0);var n,i=[z(e.base,t)];return e.sub&&i.push(z(e.sub,t)),e.sup&&i.push(z(e.sup,t)),n=r?n?"mover":"munder":e.sub?e.sup?(r=e.base)&&"op"===r.type&&r.limits&&t.style===K.DISPLAY||r&&"operatorname"===r.type&&r.alwaysHandleSupSub&&(t.style===K.DISPLAY||r.limits)?"munderover":"msubsup":(n=e.base)&&"op"===n.type&&n.limits&&(t.style===K.DISPLAY||n.alwaysHandleSupSub)||n&&"operatorname"===n.type&&n.alwaysHandleSupSub&&(n.limits||t.style===K.DISPLAY)?"munder":"msub":(r=e.base)&&"op"===r.type&&r.limits&&(t.style===K.DISPLAY||r.alwaysHandleSupSub)||r&&"operatorname"===r.type&&r.alwaysHandleSupSub&&(r.limits||t.style===K.DISPLAY)?"mover":"msup",new M.MathNode(n,i)}}),yt({type:"atom",htmlBuilder:function(e,t){return ee.mathsym(e.text,e.mode,t,["m"+e.family])},mathmlBuilder:function(e,t){var r=new M.MathNode("mo",[It(e.text,e.mode)]);return"bin"===e.family?"bold-italic"===(t=Rt(e,t))&&r.setAttribute("mathvariant",t):"punct"===e.family?r.setAttribute("separator","true"):"open"!==e.family&&"close"!==e.family||r.setAttribute("stretchy","false"),r}}),{mi:"italic",mn:"normal",mtext:"normal"}),zr=(yt({type:"mathord",htmlBuilder:function(e,t){return ee.makeOrd(e,t,"mathord")},mathmlBuilder:function(e,t){var r=new M.MathNode("mi",[It(e.text,e.mode,t)]),e=Rt(e,t)||"italic";return e!==Mr[r.type]&&r.setAttribute("mathvariant",e),r}}),yt({type:"textord",htmlBuilder:function(e,t){return ee.makeOrd(e,t,"textord")},mathmlBuilder:function(e,t){var r=It(e.text,e.mode,t),t=Rt(e,t)||"normal",e="text"===e.mode?new M.MathNode("mtext",[r]):/[0-9]/.test(e.text)?new M.MathNode("mn",[r]):"\\prime"===e.text?new M.MathNode("mo",[r]):new M.MathNode("mi",[r]);return t!==Mr[e.type]&&e.setAttribute("mathvariant",t),e}}),{"\\nobreak":"nobreak","\\allowbreak":"allowbreak"}),Ar={" ":{},"\\ ":{},"~":{className:"nobreak"},"\\space":{},"\\nobreakspace":{className:"nobreak"}},Tr=(yt({type:"spacing",htmlBuilder:function(e,t){var r,n;if(Ar.hasOwnProperty(e.text))return r=Ar[e.text].className||"","text"===e.mode?((n=ee.makeOrd(e,t,"textord")).classes.push(r),n):ee.makeSpan(["mspace",r],[ee.mathsym(e.text,e.mode,t)],t);if(zr.hasOwnProperty(e.text))return ee.makeSpan(["mspace",zr[e.text]],[],t);throw new $('Unknown type of space "'+e.text+'"')},mathmlBuilder:function(e,t){if(Ar.hasOwnProperty(e.text))return new M.MathNode("mtext",[new M.TextNode(" ")]);if(zr.hasOwnProperty(e.text))return new M.MathNode("mspace");throw new $('Unknown type of space "'+e.text+'"')}}),yt({type:"tag",mathmlBuilder:function(e,t){e=new M.MathNode("mtable",[new M.MathNode("mtr",[vr(),new M.MathNode("mtd",[Et(e.body,t)]),vr(),new M.MathNode("mtd",[Et(e.tag,t)])])]);return e.setAttribute("width","100%"),e}}),{"\\text":void 0,"\\textrm":"textrm","\\textsf":"textsf","\\texttt":"texttt","\\textnormal":"textrm"}),Br={"\\textbf":"textbf","\\textmd":"textmd"},Cr={"\\textit":"textit","\\textup":"textup"},Nr=(w({type:"text",names:["\\text","\\textrm","\\textsf","\\texttt","\\textnormal","\\textbf","\\textmd","\\textit","\\textup"],props:{numArgs:1,argTypes:["text"],allowedInArgument:!0,allowedInText:!0},handler:function(e,t){var r=e.parser,e=e.funcName,t=t[0];return{type:"text",mode:r.mode,body:k(t),font:e}},htmlBuilder:function(e,t){t=wr(e,t),e=te(e.body,t,!0);return ee.makeSpan(["mord","text"],e,t)},mathmlBuilder:function(e,t){t=wr(e,t);return Et(e.body,t)}}),w({type:"underline",names:["\\underline"],props:{numArgs:1,allowedInText:!0},handler:function(e,t){return{type:"underline",mode:e.parser.mode,body:t[0]}},htmlBuilder:function(e,t){var e=re(e.body,t),r=ee.makeLineSpan("underline-line",t),n=t.fontMetrics().defaultRuleThickness,r=ee.makeVList({positionType:"top",positionData:e.height,children:[{type:"kern",size:n},{type:"elem",elem:r},{type:"kern",size:3*n},{type:"elem",elem:e}]},t);return ee.makeSpan(["mord","underline"],[r],t)},mathmlBuilder:function(e,t){var r=new M.MathNode("mo",[new M.TextNode("‾")]),e=(r.setAttribute("stretchy","true"),new M.MathNode("munder",[z(e.body,t),r]));return e.setAttribute("accentunder","true"),e}}),w({type:"vcenter",names:["\\vcenter"],props:{numArgs:1,argTypes:["original"],allowedInText:!1},handler:function(e,t){return{type:"vcenter",mode:e.parser.mode,body:t[0]}},htmlBuilder:function(e,t){var e=re(e.body,t),r=t.fontMetrics().axisHeight,r=.5*(e.height-r-(e.depth+r));return ee.makeVList({positionType:"shift",positionData:r,children:[{type:"elem",elem:e}]},t)},mathmlBuilder:function(e,t){return new M.MathNode("mpadded",[z(e.body,t)],["vcenter"])}}),w({type:"verb",names:["\\verb"],props:{numArgs:0,allowedInText:!0},handler:function(e,t,r){throw new $("\\verb ended by end of line instead of matching delimiter")},htmlBuilder:function(e,t){for(var r=Nr(e),n=[],i=t.havingStyle(t.style.text()),a=0;a<r.length;a++){var o=r[a];"~"===o&&(o="\\textasciitilde"),n.push(ee.makeSymbol(o,"Typewriter-Regular",e.mode,i,["mord","texttt"]))}return ee.makeSpan(["mord","text"].concat(i.sizingClasses(t)),ee.tryCombineChars(n),i)},mathmlBuilder:function(e,t){e=new M.TextNode(Nr(e)),e=new M.MathNode("mtext",[e]);return e.setAttribute("mathvariant","monospace"),e}}),function(e){return e.body.replace(/ /g,e.star?"␣":" ")}),qr=dt,Ir=new RegExp("[̀-ͯ]+$"),Or=((h=Lr.prototype).setCatcode=function(e,t){this.catcodes[e]=t},h.lex=function(){var e=this.input,t=this.tokenRegex.lastIndex;if(t===e.length)return new D0("EOF",new L0(this,t,t));var r=this.tokenRegex.exec(e);if(null===r||r.index!==t)throw new $("Unexpected character: '"+e[t]+"'",new D0(e[t],new L0(this,t,t+1)));var n,r=r[6]||r[3]||(r[2]?"\\ ":" ");return 14===this.catcodes[r]?(-1===(n=e.indexOf("\n",this.tokenRegex.lastIndex))?(this.tokenRegex.lastIndex=e.length,this.settings.reportNonstrict("commentAtEnd","% comment has no terminating newline; LaTeX would fail because of commenting the end of math mode (e.g. $)")):this.tokenRegex.lastIndex=n+1,this.lex()):new D0(r,new L0(this,t,this.tokenRegex.lastIndex))},Lr),Rr=((Ve=Hr.prototype).beginGroup=function(){this.undefStack.push({})},Ve.endGroup=function(){if(0===this.undefStack.length)throw new $("Unbalanced namespace destruction: attempt to pop global namespace; please report this as a bug");var e,t=this.undefStack.pop();for(e in t)t.hasOwnProperty(e)&&(null==t[e]?delete this.current[e]:this.current[e]=t[e])},Ve.endGroups=function(){for(;0<this.undefStack.length;)this.endGroup()},Ve.has=function(e){return this.current.hasOwnProperty(e)||this.builtins.hasOwnProperty(e)},Ve.get=function(e){return(this.current.hasOwnProperty(e)?this.current:this.builtins)[e]},Ve.set=function(e,t,r){if(r=void 0===r?!1:r){for(var n=0;n<this.undefStack.length;n++)delete this.undefStack[n][e];0<this.undefStack.length&&(this.undefStack[this.undefStack.length-1][e]=t)}else{r=this.undefStack[this.undefStack.length-1];r&&!r.hasOwnProperty(e)&&(r[e]=this.current[e])}null==t?delete this.current[e]:this.current[e]=t},Hr),Er=H0;function Hr(e,t){void 0===e&&(e={}),void 0===t&&(t={}),this.current=void 0,this.builtins=void 0,this.undefStack=void 0,this.current=t,this.builtins=e,this.undefStack=[]}function Lr(e,t){this.input=void 0,this.settings=void 0,this.tokenRegex=void 0,this.catcodes=void 0,this.input=e,this.settings=t,this.tokenRegex=new RegExp("([ \r\n\t]+)|\\\\(\n|[ \r\t]+\n?)[ \r\t]*|([!-\\[\\]-‧‪-퟿豈-￿][̀-ͯ]*|[\ud800-\udbff][\udc00-\udfff][̀-ͯ]*|\\\\verb\\*([^]).*?\\4|\\\\verb([^*a-zA-Z]).*?\\5|(\\\\[a-zA-Z@]+)[ \r\n\t]*|\\\\[^\ud800-\udfff])","g"),this.catcodes={"%":14,"~":13}}T("\\noexpand",function(e){var t=e.popToken();return e.isExpandable(t.text)&&(t.noexpand=!0,t.treatAsRelax=!0),{tokens:[t],numArgs:0}}),T("\\expandafter",function(e){var t=e.popToken();return e.expandOnce(!0),{tokens:[t],numArgs:0}}),T("\\@firstoftwo",function(e){return{tokens:e.consumeArgs(2)[0],numArgs:0}}),T("\\@secondoftwo",function(e){return{tokens:e.consumeArgs(2)[1],numArgs:0}}),T("\\@ifnextchar",function(e){var t=e.consumeArgs(3),e=(e.consumeSpaces(),e.future());return 1===t[0].length&&t[0][0].text===e.text?{tokens:t[1],numArgs:0}:{tokens:t[2],numArgs:0}}),T("\\@ifstar","\\@ifnextchar *{\\@firstoftwo{#1}}"),T("\\TextOrMath",function(e){var t=e.consumeArgs(2);return"text"===e.mode?{tokens:t[0],numArgs:0}:{tokens:t[1],numArgs:0}});function Dr(e,t,r){var n=e.consumeArg().tokens;if(1!==n.length)throw new $("\\newcommand's first argument must be a macro name");var i=n[0].text,a=e.isDefined(i);if(a&&!t)throw new $("\\newcommand{"+i+"} attempting to redefine "+i+"; use \\renewcommand");if(!a&&!r)throw new $("\\renewcommand{"+i+"} when command "+i+" does not yet exist; use \\newcommand");if(t=0,1===(n=e.consumeArg().tokens).length&&"["===n[0].text){for(var o="",s=e.expandNextToken();"]"!==s.text&&"EOF"!==s.text;)o+=s.text,s=e.expandNextToken();if(!o.match(/^\s*[0-9]+\s*$/))throw new $("Invalid number of arguments: "+o);t=parseInt(o),n=e.consumeArg().tokens}return e.macros.set(i,{tokens:n,numArgs:t}),""}function Pr(h){return function(e){function t(r){return function(e){h&&(e.macros.set("|",o),i.length&&e.macros.set("\\|",s));var t=r;return!r&&i.length&&"|"===e.future().text&&(e.popToken(),t=!0),{tokens:t?i:n,numArgs:0}}}var r=e.consumeArg().tokens,n=e.consumeArg().tokens,i=e.consumeArg().tokens,a=e.consumeArg().tokens,o=e.macros.get("|"),s=e.macros.get("\\|"),l=(e.macros.beginGroup(),e.macros.set("|",t(!1)),i.length&&e.macros.set("\\|",t(!0)),e.consumeArg().tokens),a=e.expandTokens([].concat(a,l,r));return e.macros.endGroup(),{tokens:a.reverse(),numArgs:0}}}var Fr={0:0,1:1,2:2,3:3,4:4,5:5,6:6,7:7,8:8,9:9,a:10,A:10,b:11,B:11,c:12,C:12,d:13,D:13,e:14,E:14,f:15,F:15},Vr=(T("\\char",function(e){var t,r,n=e.popToken(),i="";if("'"===n.text)t=8,n=e.popToken();else if('"'===n.text)t=16,n=e.popToken();else if("`"===n.text)if("\\"===(n=e.popToken()).text[0])i=n.text.charCodeAt(1);else{if("EOF"===n.text)throw new $("\\char` missing argument");i=n.text.charCodeAt(0)}else t=10;if(t){if(null==(i=Fr[n.text])||t<=i)throw new $("Invalid base-"+t+" digit "+n.text);for(;null!=(r=Fr[e.future().text])&&r<t;)i=i*t+r,e.popToken()}return"\\@char{"+i+"}"}),T("\\newcommand",function(e){return Dr(e,!1,!0)}),T("\\renewcommand",function(e){return Dr(e,!0,!1)}),T("\\providecommand",function(e){return Dr(e,!0,!0)}),T("\\message",function(e){e=e.consumeArgs(1)[0];return console.log(e.reverse().map(function(e){return e.text}).join("")),""}),T("\\errmessage",function(e){e=e.consumeArgs(1)[0];return console.error(e.reverse().map(function(e){return e.text}).join("")),""}),T("\\show",function(e){var t=e.popToken(),r=t.text;return console.log(t,e.macros.get(r),qr[r],p.math[r],p.text[r]),""}),T("\\bgroup","{"),T("\\egroup","}"),T("~","\\nobreakspace"),T("\\lq","`"),T("\\rq","'"),T("\\aa","\\r a"),T("\\AA","\\r A"),T("\\textcopyright","\\html@mathml{\\textcircled{c}}{\\char`©}"),T("\\copyright","\\TextOrMath{\\textcopyright}{\\text{\\textcopyright}}"),T("\\textregistered","\\html@mathml{\\textcircled{\\scriptsize R}}{\\char`®}"),T("ℬ","\\mathscr{B}"),T("ℰ","\\mathscr{E}"),T("ℱ","\\mathscr{F}"),T("ℋ","\\mathscr{H}"),T("ℐ","\\mathscr{I}"),T("ℒ","\\mathscr{L}"),T("ℳ","\\mathscr{M}"),T("ℛ","\\mathscr{R}"),T("ℭ","\\mathfrak{C}"),T("ℌ","\\mathfrak{H}"),T("ℨ","\\mathfrak{Z}"),T("\\Bbbk","\\Bbb{k}"),T("·","\\cdotp"),T("\\llap","\\mathllap{\\textrm{#1}}"),T("\\rlap","\\mathrlap{\\textrm{#1}}"),T("\\clap","\\mathclap{\\textrm{#1}}"),T("\\mathstrut","\\vphantom{(}"),T("\\underbar","\\underline{\\text{#1}}"),T("\\not",'\\html@mathml{\\mathrel{\\mathrlap\\@not}}{\\char"338}'),T("\\neq","\\html@mathml{\\mathrel{\\not=}}{\\mathrel{\\char`≠}}"),T("\\ne","\\neq"),T("≠","\\neq"),T("\\notin","\\html@mathml{\\mathrel{{\\in}\\mathllap{/\\mskip1mu}}}{\\mathrel{\\char`∉}}"),T("∉","\\notin"),T("≘","\\html@mathml{\\mathrel{=\\kern{-1em}\\raisebox{0.4em}{$\\scriptsize\\frown$}}}{\\mathrel{\\char`≘}}"),T("≙","\\html@mathml{\\stackrel{\\tiny\\wedge}{=}}{\\mathrel{\\char`≘}}"),T("≚","\\html@mathml{\\stackrel{\\tiny\\vee}{=}}{\\mathrel{\\char`≚}}"),T("≛","\\html@mathml{\\stackrel{\\scriptsize\\star}{=}}{\\mathrel{\\char`≛}}"),T("≝","\\html@mathml{\\stackrel{\\tiny\\mathrm{def}}{=}}{\\mathrel{\\char`≝}}"),T("≞","\\html@mathml{\\stackrel{\\tiny\\mathrm{m}}{=}}{\\mathrel{\\char`≞}}"),T("≟","\\html@mathml{\\stackrel{\\tiny?}{=}}{\\mathrel{\\char`≟}}"),T("⟂","\\perp"),T("‼","\\mathclose{!\\mkern-0.8mu!}"),T("∌","\\notni"),T("⌜","\\ulcorner"),T("⌝","\\urcorner"),T("⌞","\\llcorner"),T("⌟","\\lrcorner"),T("©","\\copyright"),T("®","\\textregistered"),T("️","\\textregistered"),T("\\ulcorner",'\\html@mathml{\\@ulcorner}{\\mathop{\\char"231c}}'),T("\\urcorner",'\\html@mathml{\\@urcorner}{\\mathop{\\char"231d}}'),T("\\llcorner",'\\html@mathml{\\@llcorner}{\\mathop{\\char"231e}}'),T("\\lrcorner",'\\html@mathml{\\@lrcorner}{\\mathop{\\char"231f}}'),T("\\vdots","\\mathord{\\varvdots\\rule{0pt}{15pt}}"),T("⋮","\\vdots"),T("\\varGamma","\\mathit{\\Gamma}"),T("\\varDelta","\\mathit{\\Delta}"),T("\\varTheta","\\mathit{\\Theta}"),T("\\varLambda","\\mathit{\\Lambda}"),T("\\varXi","\\mathit{\\Xi}"),T("\\varPi","\\mathit{\\Pi}"),T("\\varSigma","\\mathit{\\Sigma}"),T("\\varUpsilon","\\mathit{\\Upsilon}"),T("\\varPhi","\\mathit{\\Phi}"),T("\\varPsi","\\mathit{\\Psi}"),T("\\varOmega","\\mathit{\\Omega}"),T("\\substack","\\begin{subarray}{c}#1\\end{subarray}"),T("\\colon","\\nobreak\\mskip2mu\\mathpunct{}\\mathchoice{\\mkern-3mu}{\\mkern-3mu}{}{}{:}\\mskip6mu\\relax"),T("\\boxed","\\fbox{$\\displaystyle{#1}$}"),T("\\iff","\\DOTSB\\;\\Longleftrightarrow\\;"),T("\\implies","\\DOTSB\\;\\Longrightarrow\\;"),T("\\impliedby","\\DOTSB\\;\\Longleftarrow\\;"),{",":"\\dotsc","\\not":"\\dotsb","+":"\\dotsb","=":"\\dotsb","<":"\\dotsb",">":"\\dotsb","-":"\\dotsb","*":"\\dotsb",":":"\\dotsb","\\DOTSB":"\\dotsb","\\coprod":"\\dotsb","\\bigvee":"\\dotsb","\\bigwedge":"\\dotsb","\\biguplus":"\\dotsb","\\bigcap":"\\dotsb","\\bigcup":"\\dotsb","\\prod":"\\dotsb","\\sum":"\\dotsb","\\bigotimes":"\\dotsb","\\bigoplus":"\\dotsb","\\bigodot":"\\dotsb","\\bigsqcup":"\\dotsb","\\And":"\\dotsb","\\longrightarrow":"\\dotsb","\\Longrightarrow":"\\dotsb","\\longleftarrow":"\\dotsb","\\Longleftarrow":"\\dotsb","\\longleftrightarrow":"\\dotsb","\\Longleftrightarrow":"\\dotsb","\\mapsto":"\\dotsb","\\longmapsto":"\\dotsb","\\hookrightarrow":"\\dotsb","\\doteq":"\\dotsb","\\mathbin":"\\dotsb","\\mathrel":"\\dotsb","\\relbar":"\\dotsb","\\Relbar":"\\dotsb","\\xrightarrow":"\\dotsb","\\xleftarrow":"\\dotsb","\\DOTSI":"\\dotsi","\\int":"\\dotsi","\\oint":"\\dotsi","\\iint":"\\dotsi","\\iiint":"\\dotsi","\\iiiint":"\\dotsi","\\idotsint":"\\dotsi","\\DOTSX":"\\dotsx"}),Gr=(T("\\dots",function(e){var t="\\dotso",e=e.expandAfterFuture().text;return e in Vr?t=Vr[e]:("\\not"===e.substr(0,4)||e in p.math&&Z.contains(["bin","rel"],p.math[e].group))&&(t="\\dotsb"),t}),{")":!0,"]":!0,"\\rbrack":!0,"\\}":!0,"\\rbrace":!0,"\\rangle":!0,"\\rceil":!0,"\\rfloor":!0,"\\rgroup":!0,"\\rmoustache":!0,"\\right":!0,"\\bigr":!0,"\\biggr":!0,"\\Bigr":!0,"\\Biggr":!0,$:!0,";":!0,".":!0,",":!0}),e=(T("\\dotso",function(e){return e.future().text in Gr?"\\ldots\\,":"\\ldots"}),T("\\dotsc",function(e){e=e.future().text;return e in Gr&&","!==e?"\\ldots\\,":"\\ldots"}),T("\\cdots",function(e){return e.future().text in Gr?"\\@cdots\\,":"\\@cdots"}),T("\\dotsb","\\cdots"),T("\\dotsm","\\cdots"),T("\\dotsi","\\!\\cdots"),T("\\dotsx","\\ldots\\,"),T("\\DOTSI","\\relax"),T("\\DOTSB","\\relax"),T("\\DOTSX","\\relax"),T("\\tmspace","\\TextOrMath{\\kern#1#3}{\\mskip#1#2}\\relax"),T("\\,","\\tmspace+{3mu}{.1667em}"),T("\\thinspace","\\,"),T("\\>","\\mskip{4mu}"),T("\\:","\\tmspace+{4mu}{.2222em}"),T("\\medspace","\\:"),T("\\;","\\tmspace+{5mu}{.2777em}"),T("\\thickspace","\\;"),T("\\!","\\tmspace-{3mu}{.1667em}"),T("\\negthinspace","\\!"),T("\\negmedspace","\\tmspace-{4mu}{.2222em}"),T("\\negthickspace","\\tmspace-{5mu}{.277em}"),T("\\enspace","\\kern.5em "),T("\\enskip","\\hskip.5em\\relax"),T("\\quad","\\hskip1em\\relax"),T("\\qquad","\\hskip2em\\relax"),T("\\tag","\\@ifstar\\tag@literal\\tag@paren"),T("\\tag@paren","\\tag@literal{({#1})}"),T("\\tag@literal",function(e){if(e.macros.get("\\df@tag"))throw new $("Multiple \\tag");return"\\gdef\\df@tag{\\text{#1}}"}),T("\\bmod","\\mathchoice{\\mskip1mu}{\\mskip1mu}{\\mskip5mu}{\\mskip5mu}\\mathbin{\\rm mod}\\mathchoice{\\mskip1mu}{\\mskip1mu}{\\mskip5mu}{\\mskip5mu}"),T("\\pod","\\allowbreak\\mathchoice{\\mkern18mu}{\\mkern8mu}{\\mkern8mu}{\\mkern8mu}(#1)"),T("\\pmod","\\pod{{\\rm mod}\\mkern6mu#1}"),T("\\mod","\\allowbreak\\mathchoice{\\mkern18mu}{\\mkern12mu}{\\mkern12mu}{\\mkern12mu}{\\rm mod}\\,\\,#1"),T("\\pmb","\\html@mathml{\\@binrel{#1}{\\mathrlap{#1}\\kern0.5px#1}}{\\mathbf{#1}}"),T("\\newline","\\\\\\relax"),T("\\TeX","\\textrm{\\html@mathml{T\\kern-.1667em\\raisebox{-.5ex}{E}\\kern-.125emX}{TeX}}"),Q(ae["Main-Regular"]["T".charCodeAt(0)][1]-.7*ae["Main-Regular"]["A".charCodeAt(0)][1])),Ur=(T("\\LaTeX","\\textrm{\\html@mathml{L\\kern-.36em\\raisebox{"+e+"}{\\scriptstyle A}\\kern-.15em\\TeX}{LaTeX}}"),T("\\KaTeX","\\textrm{\\html@mathml{K\\kern-.17em\\raisebox{"+e+"}{\\scriptstyle A}\\kern-.15em\\TeX}{KaTeX}}"),T("\\hspace","\\@ifstar\\@hspacer\\@hspace"),T("\\@hspace","\\hskip #1\\relax"),T("\\@hspacer","\\rule{0pt}{0pt}\\hskip #1\\relax"),T("\\ordinarycolon",":"),T("\\vcentcolon","\\mathrel{\\mathop\\ordinarycolon}"),T("\\dblcolon",'\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-.9mu}\\vcentcolon}}{\\mathop{\\char"2237}}'),T("\\coloneqq",'\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}=}}{\\mathop{\\char"2254}}'),T("\\Coloneqq",'\\html@mathml{\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}=}}{\\mathop{\\char"2237\\char"3d}}'),T("\\coloneq",'\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\mathrel{-}}}{\\mathop{\\char"3a\\char"2212}}'),T("\\Coloneq",'\\html@mathml{\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\mathrel{-}}}{\\mathop{\\char"2237\\char"2212}}'),T("\\eqqcolon",'\\html@mathml{\\mathrel{=\\mathrel{\\mkern-1.2mu}\\vcentcolon}}{\\mathop{\\char"2255}}'),T("\\Eqqcolon",'\\html@mathml{\\mathrel{=\\mathrel{\\mkern-1.2mu}\\dblcolon}}{\\mathop{\\char"3d\\char"2237}}'),T("\\eqcolon",'\\html@mathml{\\mathrel{\\mathrel{-}\\mathrel{\\mkern-1.2mu}\\vcentcolon}}{\\mathop{\\char"2239}}'),T("\\Eqcolon",'\\html@mathml{\\mathrel{\\mathrel{-}\\mathrel{\\mkern-1.2mu}\\dblcolon}}{\\mathop{\\char"2212\\char"2237}}'),T("\\colonapprox",'\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\approx}}{\\mathop{\\char"3a\\char"2248}}'),T("\\Colonapprox",'\\html@mathml{\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\approx}}{\\mathop{\\char"2237\\char"2248}}'),T("\\colonsim",'\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\sim}}{\\mathop{\\char"3a\\char"223c}}'),T("\\Colonsim",'\\html@mathml{\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\sim}}{\\mathop{\\char"2237\\char"223c}}'),T("∷","\\dblcolon"),T("∹","\\eqcolon"),T("≔","\\coloneqq"),T("≕","\\eqqcolon"),T("⩴","\\Coloneqq"),T("\\ratio","\\vcentcolon"),T("\\coloncolon","\\dblcolon"),T("\\colonequals","\\coloneqq"),T("\\coloncolonequals","\\Coloneqq"),T("\\equalscolon","\\eqqcolon"),T("\\equalscoloncolon","\\Eqqcolon"),T("\\colonminus","\\coloneq"),T("\\coloncolonminus","\\Coloneq"),T("\\minuscolon","\\eqcolon"),T("\\minuscoloncolon","\\Eqcolon"),T("\\coloncolonapprox","\\Colonapprox"),T("\\coloncolonsim","\\Colonsim"),T("\\simcolon","\\mathrel{\\sim\\mathrel{\\mkern-1.2mu}\\vcentcolon}"),T("\\simcoloncolon","\\mathrel{\\sim\\mathrel{\\mkern-1.2mu}\\dblcolon}"),T("\\approxcolon","\\mathrel{\\approx\\mathrel{\\mkern-1.2mu}\\vcentcolon}"),T("\\approxcoloncolon","\\mathrel{\\approx\\mathrel{\\mkern-1.2mu}\\dblcolon}"),T("\\notni","\\html@mathml{\\not\\ni}{\\mathrel{\\char`∌}}"),T("\\limsup","\\DOTSB\\operatorname*{lim\\,sup}"),T("\\liminf","\\DOTSB\\operatorname*{lim\\,inf}"),T("\\injlim","\\DOTSB\\operatorname*{inj\\,lim}"),T("\\projlim","\\DOTSB\\operatorname*{proj\\,lim}"),T("\\varlimsup","\\DOTSB\\operatorname*{\\overline{lim}}"),T("\\varliminf","\\DOTSB\\operatorname*{\\underline{lim}}"),T("\\varinjlim","\\DOTSB\\operatorname*{\\underrightarrow{lim}}"),T("\\varprojlim","\\DOTSB\\operatorname*{\\underleftarrow{lim}}"),T("\\gvertneqq","\\html@mathml{\\@gvertneqq}{≩}"),T("\\lvertneqq","\\html@mathml{\\@lvertneqq}{≨}"),T("\\ngeqq","\\html@mathml{\\@ngeqq}{≱}"),T("\\ngeqslant","\\html@mathml{\\@ngeqslant}{≱}"),T("\\nleqq","\\html@mathml{\\@nleqq}{≰}"),T("\\nleqslant","\\html@mathml{\\@nleqslant}{≰}"),T("\\nshortmid","\\html@mathml{\\@nshortmid}{∤}"),T("\\nshortparallel","\\html@mathml{\\@nshortparallel}{∦}"),T("\\nsubseteqq","\\html@mathml{\\@nsubseteqq}{⊈}"),T("\\nsupseteqq","\\html@mathml{\\@nsupseteqq}{⊉}"),T("\\varsubsetneq","\\html@mathml{\\@varsubsetneq}{⊊}"),T("\\varsubsetneqq","\\html@mathml{\\@varsubsetneqq}{⫋}"),T("\\varsupsetneq","\\html@mathml{\\@varsupsetneq}{⊋}"),T("\\varsupsetneqq","\\html@mathml{\\@varsupsetneqq}{⫌}"),T("\\imath","\\html@mathml{\\@imath}{ı}"),T("\\jmath","\\html@mathml{\\@jmath}{ȷ}"),T("\\llbracket","\\html@mathml{\\mathopen{[\\mkern-3.2mu[}}{\\mathopen{\\char`⟦}}"),T("\\rrbracket","\\html@mathml{\\mathclose{]\\mkern-3.2mu]}}{\\mathclose{\\char`⟧}}"),T("⟦","\\llbracket"),T("⟧","\\rrbracket"),T("\\lBrace","\\html@mathml{\\mathopen{\\{\\mkern-3.2mu[}}{\\mathopen{\\char`⦃}}"),T("\\rBrace","\\html@mathml{\\mathclose{]\\mkern-3.2mu\\}}}{\\mathclose{\\char`⦄}}"),T("⦃","\\lBrace"),T("⦄","\\rBrace"),T("\\minuso","\\mathbin{\\html@mathml{{\\mathrlap{\\mathchoice{\\kern{0.145em}}{\\kern{0.145em}}{\\kern{0.1015em}}{\\kern{0.0725em}}\\circ}{-}}}{\\char`⦵}}"),T("⦵","\\minuso"),T("\\darr","\\downarrow"),T("\\dArr","\\Downarrow"),T("\\Darr","\\Downarrow"),T("\\lang","\\langle"),T("\\rang","\\rangle"),T("\\uarr","\\uparrow"),T("\\uArr","\\Uparrow"),T("\\Uarr","\\Uparrow"),T("\\N","\\mathbb{N}"),T("\\R","\\mathbb{R}"),T("\\Z","\\mathbb{Z}"),T("\\alef","\\aleph"),T("\\alefsym","\\aleph"),T("\\Alpha","\\mathrm{A}"),T("\\Beta","\\mathrm{B}"),T("\\bull","\\bullet"),T("\\Chi","\\mathrm{X}"),T("\\clubs","\\clubsuit"),T("\\cnums","\\mathbb{C}"),T("\\Complex","\\mathbb{C}"),T("\\Dagger","\\ddagger"),T("\\diamonds","\\diamondsuit"),T("\\empty","\\emptyset"),T("\\Epsilon","\\mathrm{E}"),T("\\Eta","\\mathrm{H}"),T("\\exist","\\exists"),T("\\harr","\\leftrightarrow"),T("\\hArr","\\Leftrightarrow"),T("\\Harr","\\Leftrightarrow"),T("\\hearts","\\heartsuit"),T("\\image","\\Im"),T("\\infin","\\infty"),T("\\Iota","\\mathrm{I}"),T("\\isin","\\in"),T("\\Kappa","\\mathrm{K}"),T("\\larr","\\leftarrow"),T("\\lArr","\\Leftarrow"),T("\\Larr","\\Leftarrow"),T("\\lrarr","\\leftrightarrow"),T("\\lrArr","\\Leftrightarrow"),T("\\Lrarr","\\Leftrightarrow"),T("\\Mu","\\mathrm{M}"),T("\\natnums","\\mathbb{N}"),T("\\Nu","\\mathrm{N}"),T("\\Omicron","\\mathrm{O}"),T("\\plusmn","\\pm"),T("\\rarr","\\rightarrow"),T("\\rArr","\\Rightarrow"),T("\\Rarr","\\Rightarrow"),T("\\real","\\Re"),T("\\reals","\\mathbb{R}"),T("\\Reals","\\mathbb{R}"),T("\\Rho","\\mathrm{P}"),T("\\sdot","\\cdot"),T("\\sect","\\S"),T("\\spades","\\spadesuit"),T("\\sub","\\subset"),T("\\sube","\\subseteq"),T("\\supe","\\supseteq"),T("\\Tau","\\mathrm{T}"),T("\\thetasym","\\vartheta"),T("\\weierp","\\wp"),T("\\Zeta","\\mathrm{Z}"),T("\\argmin","\\DOTSB\\operatorname*{arg\\,min}"),T("\\argmax","\\DOTSB\\operatorname*{arg\\,max}"),T("\\plim","\\DOTSB\\mathop{\\operatorname{plim}}\\limits"),T("\\bra","\\mathinner{\\langle{#1}|}"),T("\\ket","\\mathinner{|{#1}\\rangle}"),T("\\braket","\\mathinner{\\langle{#1}\\rangle}"),T("\\Bra","\\left\\langle#1\\right|"),T("\\Ket","\\left|#1\\right\\rangle"),T("\\bra@ket",Pr(!1)),T("\\bra@set",Pr(!0)),T("\\Braket","\\bra@ket{\\left\\langle}{\\,\\middle\\vert\\,}{\\,\\middle\\vert\\,}{\\right\\rangle}"),T("\\Set","\\bra@set{\\left\\{\\:}{\\;\\middle\\vert\\;}{\\;\\middle\\Vert\\;}{\\:\\right\\}}"),T("\\set","\\bra@set{\\{\\,}{\\mid}{}{\\,\\}}"),T("\\angln","{\\angl n}"),T("\\blue","\\textcolor{##6495ed}{#1}"),T("\\orange","\\textcolor{##ffa500}{#1}"),T("\\pink","\\textcolor{##ff00af}{#1}"),T("\\red","\\textcolor{##df0030}{#1}"),T("\\green","\\textcolor{##28ae7b}{#1}"),T("\\gray","\\textcolor{gray}{#1}"),T("\\purple","\\textcolor{##9d38bd}{#1}"),T("\\blueA","\\textcolor{##ccfaff}{#1}"),T("\\blueB","\\textcolor{##80f6ff}{#1}"),T("\\blueC","\\textcolor{##63d9ea}{#1}"),T("\\blueD","\\textcolor{##11accd}{#1}"),T("\\blueE","\\textcolor{##0c7f99}{#1}"),T("\\tealA","\\textcolor{##94fff5}{#1}"),T("\\tealB","\\textcolor{##26edd5}{#1}"),T("\\tealC","\\textcolor{##01d1c1}{#1}"),T("\\tealD","\\textcolor{##01a995}{#1}"),T("\\tealE","\\textcolor{##208170}{#1}"),T("\\greenA","\\textcolor{##b6ffb0}{#1}"),T("\\greenB","\\textcolor{##8af281}{#1}"),T("\\greenC","\\textcolor{##74cf70}{#1}"),T("\\greenD","\\textcolor{##1fab54}{#1}"),T("\\greenE","\\textcolor{##0d923f}{#1}"),T("\\goldA","\\textcolor{##ffd0a9}{#1}"),T("\\goldB","\\textcolor{##ffbb71}{#1}"),T("\\goldC","\\textcolor{##ff9c39}{#1}"),T("\\goldD","\\textcolor{##e07d10}{#1}"),T("\\goldE","\\textcolor{##a75a05}{#1}"),T("\\redA","\\textcolor{##fca9a9}{#1}"),T("\\redB","\\textcolor{##ff8482}{#1}"),T("\\redC","\\textcolor{##f9685d}{#1}"),T("\\redD","\\textcolor{##e84d39}{#1}"),T("\\redE","\\textcolor{##bc2612}{#1}"),T("\\maroonA","\\textcolor{##ffbde0}{#1}"),T("\\maroonB","\\textcolor{##ff92c6}{#1}"),T("\\maroonC","\\textcolor{##ed5fa6}{#1}"),T("\\maroonD","\\textcolor{##ca337c}{#1}"),T("\\maroonE","\\textcolor{##9e034e}{#1}"),T("\\purpleA","\\textcolor{##ddd7ff}{#1}"),T("\\purpleB","\\textcolor{##c6b9fc}{#1}"),T("\\purpleC","\\textcolor{##aa87ff}{#1}"),T("\\purpleD","\\textcolor{##7854ab}{#1}"),T("\\purpleE","\\textcolor{##543b78}{#1}"),T("\\mintA","\\textcolor{##f5f9e8}{#1}"),T("\\mintB","\\textcolor{##edf2df}{#1}"),T("\\mintC","\\textcolor{##e0e5cc}{#1}"),T("\\grayA","\\textcolor{##f6f7f7}{#1}"),T("\\grayB","\\textcolor{##f0f1f2}{#1}"),T("\\grayC","\\textcolor{##e3e5e6}{#1}"),T("\\grayD","\\textcolor{##d6d8da}{#1}"),T("\\grayE","\\textcolor{##babec2}{#1}"),T("\\grayF","\\textcolor{##888d93}{#1}"),T("\\grayG","\\textcolor{##626569}{#1}"),T("\\grayH","\\textcolor{##3b3e40}{#1}"),T("\\grayI","\\textcolor{##21242c}{#1}"),T("\\kaBlue","\\textcolor{##314453}{#1}"),T("\\kaGreen","\\textcolor{##71B307}{#1}"),{"^":!0,_:!0,"\\limits":!0,"\\nolimits":!0}),Yr=((t=Kr.prototype).feed=function(e){this.lexer=new Or(e,this.settings)},t.switchMode=function(e){this.mode=e},t.beginGroup=function(){this.macros.beginGroup()},t.endGroup=function(){this.macros.endGroup()},t.endGroups=function(){this.macros.endGroups()},t.future=function(){return 0===this.stack.length&&this.pushToken(this.lexer.lex()),this.stack[this.stack.length-1]},t.popToken=function(){return this.future(),this.stack.pop()},t.pushToken=function(e){this.stack.push(e)},t.pushTokens=function(e){var t;(t=this.stack).push.apply(t,e)},t.scanArgument=function(e){if(e){if(this.consumeSpaces(),"["!==this.future().text)return null;var t=this.popToken(),e=this.consumeArg(["]"]),r=e.tokens,n=e.end}else{e=this.consumeArg();r=e.tokens,t=e.start,n=e.end}return this.pushToken(new D0("EOF",n.loc)),this.pushTokens(r),t.range(n,"")},t.consumeSpaces=function(){for(;" "===this.future().text;)this.stack.pop()},t.consumeArg=function(e){var t=[],r=e&&0<e.length;r||this.consumeSpaces();var n,i=this.future(),a=0,o=0;do{if(n=this.popToken(),t.push(n),"{"===n.text)++a;else if("}"===n.text){if(-1==--a)throw new $("Extra }",n)}else if("EOF"===n.text)throw new $("Unexpected end of input in a macro argument, expected '"+(e&&r?e[o]:"}")+"'",n);if(e&&r)if((0===a||1===a&&"{"===e[o])&&n.text===e[o]){if(++o===e.length){t.splice(-o,o);break}}else o=0}while(0!==a||r);return"{"===i.text&&"}"===t[t.length-1].text&&(t.pop(),t.shift()),t.reverse(),{tokens:t,start:i,end:n}},t.consumeArgs=function(e,t){if(t){if(t.length!==e+1)throw new $("The length of delimiters doesn't match the number of args!");for(var r=t[0],n=0;n<r.length;n++){var i=this.popToken();if(r[n]!==i.text)throw new $("Use of the macro doesn't match its definition",i)}}for(var a=[],o=0;o<e;o++)a.push(this.consumeArg(t&&t[o+1]).tokens);return a},t.expandOnce=function(e){var t=this.popToken(),r=t.text,n=t.noexpand?null:this._getExpansion(r);if(null==n||e&&n.unexpandable){if(e&&null==n&&"\\"===r[0]&&!this.isDefined(r))throw new $("Undefined control sequence: "+r);return this.pushToken(t),t}if(this.expansionCount++,this.expansionCount>this.settings.maxExpand)throw new $("Too many expansions: infinite loop or need to increase maxExpand setting");var i=n.tokens,a=this.consumeArgs(n.numArgs,n.delimiters);if(n.numArgs)for(var o=(i=i.slice()).length-1;0<=o;--o){var s=i[o];if("#"===s.text){if(0===o)throw new $("Incomplete placeholder at end of macro body",s);if("#"===(s=i[--o]).text)i.splice(o+1,1);else{if(!/^[1-9]$/.test(s.text))throw new $("Not a valid argument number",s);i.splice.apply(i,[o,2].concat(a[+s.text-1]))}}}return this.pushTokens(i),i},t.expandAfterFuture=function(){return this.expandOnce(),this.future()},t.expandNextToken=function(){for(;;){var e=this.expandOnce();if(e instanceof D0)return e.treatAsRelax&&(e.text="\\relax"),this.stack.pop()}throw new Error},t.expandMacro=function(e){return this.macros.has(e)?this.expandTokens([new D0(e)]):void 0},t.expandTokens=function(e){var t=[],r=this.stack.length;for(this.pushTokens(e);this.stack.length>r;){var n=this.expandOnce(!0);n instanceof D0&&(n.treatAsRelax&&(n.noexpand=!1,n.treatAsRelax=!1),t.push(this.stack.pop()))}return t},t.expandMacroAsText=function(e){e=this.expandMacro(e);return e&&e.map(function(e){return e.text}).join("")},t._getExpansion=function(e){var t=this.macros.get(e);if(null==t)return t;if(1===e.length){e=this.lexer.catcodes[e];if(null!=e&&13!==e)return}e="function"==typeof t?t(this):t;if("string"!=typeof e)return e;var r=0;if(-1!==e.indexOf("#"))for(var n=e.replace(/##/g,"");-1!==n.indexOf("#"+(r+1));)++r;for(var i=new Or(e,this.settings),a=[],o=i.lex();"EOF"!==o.text;)a.push(o),o=i.lex();return a.reverse(),{tokens:a,numArgs:r}},t.isDefined=function(e){return this.macros.has(e)||qr.hasOwnProperty(e)||p.math.hasOwnProperty(e)||p.text.hasOwnProperty(e)||Ur.hasOwnProperty(e)},t.isExpandable=function(e){var t=this.macros.get(e);return null!=t?"string"==typeof t||"function"==typeof t||!t.unexpandable:qr.hasOwnProperty(e)&&!qr[e].primitive},Kr),Xr=/^[\u208a\u208b\u208c\u208d\u208e\u2080\u2081\u2082\u2083\u2084\u2085\u2086\u2087\u2088\u2089\u2090\u2091\u2095\u1d62\u2c7c\u2096\u2097\u2098\u2099\u2092\u209a\u1d63\u209b\u209c\u1d64\u1d65\u2093\u1d66\u1d67\u1d68\u1d69\u1d6a]/,Wr=Object.freeze({"₊":"+","₋":"-","₌":"=","₍":"(","₎":")","₀":"0","₁":"1","₂":"2","₃":"3","₄":"4","₅":"5","₆":"6","₇":"7","₈":"8","₉":"9","ₐ":"a","ₑ":"e","ₕ":"h","ᵢ":"i","ⱼ":"j","ₖ":"k","ₗ":"l","ₘ":"m","ₙ":"n","ₒ":"o","ₚ":"p","ᵣ":"r","ₛ":"s","ₜ":"t","ᵤ":"u","ᵥ":"v","ₓ":"x","ᵦ":"β","ᵧ":"γ","ᵨ":"ρ","ᵩ":"ϕ","ᵪ":"χ","⁺":"+","⁻":"-","⁼":"=","⁽":"(","⁾":")","⁰":"0","¹":"1","²":"2","³":"3","⁴":"4","⁵":"5","⁶":"6","⁷":"7","⁸":"8","⁹":"9","ᴬ":"A","ᴮ":"B","ᴰ":"D","ᴱ":"E","ᴳ":"G","ᴴ":"H","ᴵ":"I","ᴶ":"J","ᴷ":"K","ᴸ":"L","ᴹ":"M","ᴺ":"N","ᴼ":"O","ᴾ":"P","ᴿ":"R","ᵀ":"T","ᵁ":"U","ⱽ":"V","ᵂ":"W","ᵃ":"a","ᵇ":"b","ᶜ":"c","ᵈ":"d","ᵉ":"e","ᶠ":"f","ᵍ":"g","ʰ":"h","ⁱ":"i","ʲ":"j","ᵏ":"k","ˡ":"l","ᵐ":"m","ⁿ":"n","ᵒ":"o","ᵖ":"p","ʳ":"r","ˢ":"s","ᵗ":"t","ᵘ":"u","ᵛ":"v","ʷ":"w","ˣ":"x","ʸ":"y","ᶻ":"z","ᵝ":"β","ᵞ":"γ","ᵟ":"δ","ᵠ":"ϕ","ᵡ":"χ","ᶿ":"θ"}),jr={"́":{text:"\\'",math:"\\acute"},"̀":{text:"\\`",math:"\\grave"},"̈":{text:'\\"',math:"\\ddot"},"̃":{text:"\\~",math:"\\tilde"},"̄":{text:"\\=",math:"\\bar"},"̆":{text:"\\u",math:"\\breve"},"̌":{text:"\\v",math:"\\check"},"̂":{text:"\\^",math:"\\hat"},"̇":{text:"\\.",math:"\\dot"},"̊":{text:"\\r",math:"\\mathring"},"̋":{text:"\\H"},"̧":{text:"\\c"}},_r={"á":"á","à":"à","ä":"ä","ǟ":"ǟ","ã":"ã","ā":"ā","ă":"ă","ắ":"ắ","ằ":"ằ","ẵ":"ẵ","ǎ":"ǎ","â":"â","ấ":"ấ","ầ":"ầ","ẫ":"ẫ","ȧ":"ȧ","ǡ":"ǡ","å":"å","ǻ":"ǻ","ḃ":"ḃ","ć":"ć","ḉ":"ḉ","č":"č","ĉ":"ĉ","ċ":"ċ","ç":"ç","ď":"ď","ḋ":"ḋ","ḑ":"ḑ","é":"é","è":"è","ë":"ë","ẽ":"ẽ","ē":"ē","ḗ":"ḗ","ḕ":"ḕ","ĕ":"ĕ","ḝ":"ḝ","ě":"ě","ê":"ê","ế":"ế","ề":"ề","ễ":"ễ","ė":"ė","ȩ":"ȩ","ḟ":"ḟ","ǵ":"ǵ","ḡ":"ḡ","ğ":"ğ","ǧ":"ǧ","ĝ":"ĝ","ġ":"ġ","ģ":"ģ","ḧ":"ḧ","ȟ":"ȟ","ĥ":"ĥ","ḣ":"ḣ","ḩ":"ḩ","í":"í","ì":"ì","ï":"ï","ḯ":"ḯ","ĩ":"ĩ","ī":"ī","ĭ":"ĭ","ǐ":"ǐ","î":"î","ǰ":"ǰ","ĵ":"ĵ","ḱ":"ḱ","ǩ":"ǩ","ķ":"ķ","ĺ":"ĺ","ľ":"ľ","ļ":"ļ","ḿ":"ḿ","ṁ":"ṁ","ń":"ń","ǹ":"ǹ","ñ":"ñ","ň":"ň","ṅ":"ṅ","ņ":"ņ","ó":"ó","ò":"ò","ö":"ö","ȫ":"ȫ","õ":"õ","ṍ":"ṍ","ṏ":"ṏ","ȭ":"ȭ","ō":"ō","ṓ":"ṓ","ṑ":"ṑ","ŏ":"ŏ","ǒ":"ǒ","ô":"ô","ố":"ố","ồ":"ồ","ỗ":"ỗ","ȯ":"ȯ","ȱ":"ȱ","ő":"ő","ṕ":"ṕ","ṗ":"ṗ","ŕ":"ŕ","ř":"ř","ṙ":"ṙ","ŗ":"ŗ","ś":"ś","ṥ":"ṥ","š":"š","ṧ":"ṧ","ŝ":"ŝ","ṡ":"ṡ","ş":"ş","ẗ":"ẗ","ť":"ť","ṫ":"ṫ","ţ":"ţ","ú":"ú","ù":"ù","ü":"ü","ǘ":"ǘ","ǜ":"ǜ","ǖ":"ǖ","ǚ":"ǚ","ũ":"ũ","ṹ":"ṹ","ū":"ū","ṻ":"ṻ","ŭ":"ŭ","ǔ":"ǔ","û":"û","ů":"ů","ű":"ű","ṽ":"ṽ","ẃ":"ẃ","ẁ":"ẁ","ẅ":"ẅ","ŵ":"ŵ","ẇ":"ẇ","ẘ":"ẘ","ẍ":"ẍ","ẋ":"ẋ","ý":"ý","ỳ":"ỳ","ÿ":"ÿ","ỹ":"ỹ","ȳ":"ȳ","ŷ":"ŷ","ẏ":"ẏ","ẙ":"ẙ","ź":"ź","ž":"ž","ẑ":"ẑ","ż":"ż","Á":"Á","À":"À","Ä":"Ä","Ǟ":"Ǟ","Ã":"Ã","Ā":"Ā","Ă":"Ă","Ắ":"Ắ","Ằ":"Ằ","Ẵ":"Ẵ","Ǎ":"Ǎ","Â":"Â","Ấ":"Ấ","Ầ":"Ầ","Ẫ":"Ẫ","Ȧ":"Ȧ","Ǡ":"Ǡ","Å":"Å","Ǻ":"Ǻ","Ḃ":"Ḃ","Ć":"Ć","Ḉ":"Ḉ","Č":"Č","Ĉ":"Ĉ","Ċ":"Ċ","Ç":"Ç","Ď":"Ď","Ḋ":"Ḋ","Ḑ":"Ḑ","É":"É","È":"È","Ë":"Ë","Ẽ":"Ẽ","Ē":"Ē","Ḗ":"Ḗ","Ḕ":"Ḕ","Ĕ":"Ĕ","Ḝ":"Ḝ","Ě":"Ě","Ê":"Ê","Ế":"Ế","Ề":"Ề","Ễ":"Ễ","Ė":"Ė","Ȩ":"Ȩ","Ḟ":"Ḟ","Ǵ":"Ǵ","Ḡ":"Ḡ","Ğ":"Ğ","Ǧ":"Ǧ","Ĝ":"Ĝ","Ġ":"Ġ","Ģ":"Ģ","Ḧ":"Ḧ","Ȟ":"Ȟ","Ĥ":"Ĥ","Ḣ":"Ḣ","Ḩ":"Ḩ","Í":"Í","Ì":"Ì","Ï":"Ï","Ḯ":"Ḯ","Ĩ":"Ĩ","Ī":"Ī","Ĭ":"Ĭ","Ǐ":"Ǐ","Î":"Î","İ":"İ","Ĵ":"Ĵ","Ḱ":"Ḱ","Ǩ":"Ǩ","Ķ":"Ķ","Ĺ":"Ĺ","Ľ":"Ľ","Ļ":"Ļ","Ḿ":"Ḿ","Ṁ":"Ṁ","Ń":"Ń","Ǹ":"Ǹ","Ñ":"Ñ","Ň":"Ň","Ṅ":"Ṅ","Ņ":"Ņ","Ó":"Ó","Ò":"Ò","Ö":"Ö","Ȫ":"Ȫ","Õ":"Õ","Ṍ":"Ṍ","Ṏ":"Ṏ","Ȭ":"Ȭ","Ō":"Ō","Ṓ":"Ṓ","Ṑ":"Ṑ","Ŏ":"Ŏ","Ǒ":"Ǒ","Ô":"Ô","Ố":"Ố","Ồ":"Ồ","Ỗ":"Ỗ","Ȯ":"Ȯ","Ȱ":"Ȱ","Ő":"Ő","Ṕ":"Ṕ","Ṗ":"Ṗ","Ŕ":"Ŕ","Ř":"Ř","Ṙ":"Ṙ","Ŗ":"Ŗ","Ś":"Ś","Ṥ":"Ṥ","Š":"Š","Ṧ":"Ṧ","Ŝ":"Ŝ","Ṡ":"Ṡ","Ş":"Ş","Ť":"Ť","Ṫ":"Ṫ","Ţ":"Ţ","Ú":"Ú","Ù":"Ù","Ü":"Ü","Ǘ":"Ǘ","Ǜ":"Ǜ","Ǖ":"Ǖ","Ǚ":"Ǚ","Ũ":"Ũ","Ṹ":"Ṹ","Ū":"Ū","Ṻ":"Ṻ","Ŭ":"Ŭ","Ǔ":"Ǔ","Û":"Û","Ů":"Ů","Ű":"Ű","Ṽ":"Ṽ","Ẃ":"Ẃ","Ẁ":"Ẁ","Ẅ":"Ẅ","Ŵ":"Ŵ","Ẇ":"Ẇ","Ẍ":"Ẍ","Ẋ":"Ẋ","Ý":"Ý","Ỳ":"Ỳ","Ÿ":"Ÿ","Ỹ":"Ỹ","Ȳ":"Ȳ","Ŷ":"Ŷ","Ẏ":"Ẏ","Ź":"Ź","Ž":"Ž","Ẑ":"Ẑ","Ż":"Ż","ά":"ά","ὰ":"ὰ","ᾱ":"ᾱ","ᾰ":"ᾰ","έ":"έ","ὲ":"ὲ","ή":"ή","ὴ":"ὴ","ί":"ί","ὶ":"ὶ","ϊ":"ϊ","ΐ":"ΐ","ῒ":"ῒ","ῑ":"ῑ","ῐ":"ῐ","ό":"ό","ὸ":"ὸ","ύ":"ύ","ὺ":"ὺ","ϋ":"ϋ","ΰ":"ΰ","ῢ":"ῢ","ῡ":"ῡ","ῠ":"ῠ","ώ":"ώ","ὼ":"ὼ","Ύ":"Ύ","Ὺ":"Ὺ","Ϋ":"Ϋ","Ῡ":"Ῡ","Ῠ":"Ῠ","Ώ":"Ώ","Ὼ":"Ὼ"},$r=((c=Zr.prototype).expect=function(e,t){if(void 0===t&&(t=!0),this.fetch().text!==e)throw new $("Expected '"+e+"', got '"+this.fetch().text+"'",this.fetch());t&&this.consume()},c.consume=function(){this.nextToken=null},c.fetch=function(){return null==this.nextToken&&(this.nextToken=this.gullet.expandNextToken()),this.nextToken},c.switchMode=function(e){this.mode=e,this.gullet.switchMode(e)},c.parse=function(){this.settings.globalGroup||this.gullet.beginGroup(),this.settings.colorIsTextColor&&this.gullet.macros.set("\\color","\\textcolor");try{var e=this.parseExpression(!1);return this.expect("EOF"),this.settings.globalGroup||this.gullet.endGroup(),e}finally{this.gullet.endGroups()}},c.subparse=function(e){var t=this.nextToken,e=(this.consume(),this.gullet.pushToken(new D0("}")),this.gullet.pushTokens(e),this.parseExpression(!1));return this.expect("}"),this.nextToken=t,e},c.parseExpression=function(e,t){for(var r=[];;){"math"===this.mode&&this.consumeSpaces();var n=this.fetch();if(-1!==Zr.endOfExpression.indexOf(n.text))break;if(t&&n.text===t)break;if(e&&qr[n.text]&&qr[n.text].infix)break;n=this.parseAtom(t);if(!n)break;"internal"!==n.type&&r.push(n)}return"text"===this.mode&&this.formLigatures(r),this.handleInfixNodes(r)},c.handleInfixNodes=function(e){for(var t,r,n,i=-1,a=0;a<e.length;a++)if("infix"===e[a].type){if(-1!==i)throw new $("only one infix operator per group",e[a].token);t=e[i=a].replaceWith}return-1!==i&&t?(r=e.slice(0,i),n=e.slice(i+1),r=1===r.length&&"ordgroup"===r[0].type?r[0]:{type:"ordgroup",mode:this.mode,body:r},n=1===n.length&&"ordgroup"===n[0].type?n[0]:{type:"ordgroup",mode:this.mode,body:n},["\\\\abovefrac"===t?this.callFunction(t,[r,e[i],n],[]):this.callFunction(t,[r,n],[])]):e},c.handleSupSubscript=function(e){var t=this.fetch(),r=t.text,e=(this.consume(),this.consumeSpaces(),this.parseGroup(e));if(e)return e;throw new $("Expected group after '"+r+"'",t)},c.formatUnsupportedCmd=function(e){for(var t=[],r=0;r<e.length;r++)t.push({type:"textord",mode:"text",text:e[r]});var n={type:"text",mode:this.mode,body:t};return{type:"color",mode:this.mode,color:this.settings.errorColor,body:[n]}},c.parseAtom=function(e){var t,r,n=this.parseGroup("atom",e);if("text"===this.mode)return n;for(;;){this.consumeSpaces();var i=this.fetch();if("\\limits"===i.text||"\\nolimits"===i.text){if(n&&"op"===n.type){var a="\\limits"===i.text;n.limits=a,n.alwaysHandleSupSub=!0}else{if(!n||"operatorname"!==n.type)throw new $("Limit controls must follow a math operator",i);n.alwaysHandleSupSub&&(n.limits="\\limits"===i.text)}this.consume()}else if("^"===i.text){if(t)throw new $("Double superscript",i);t=this.handleSupSubscript("superscript")}else if("_"===i.text){if(r)throw new $("Double subscript",i);r=this.handleSupSubscript("subscript")}else if("'"===i.text){if(t)throw new $("Double superscript",i);var o={type:"textord",mode:this.mode,text:"\\prime"},s=[o];for(this.consume();"'"===this.fetch().text;)s.push(o),this.consume();"^"===this.fetch().text&&s.push(this.handleSupSubscript("superscript")),t={type:"ordgroup",mode:this.mode,body:s}}else{if(!Wr[i.text])break;var l=Wr[i.text],h=Xr.test(i.text);for(this.consume();;){var m=this.fetch().text;if(!Wr[m])break;if(Xr.test(m)!==h)break;this.consume(),l+=Wr[m]}a=new Zr(l,this.settings).parse();h?r={type:"ordgroup",mode:"math",body:a}:t={type:"ordgroup",mode:"math",body:a}}}return t||r?{type:"supsub",mode:this.mode,base:n,sup:t,sub:r}:n},c.parseFunction=function(e,t){var r=this.fetch(),n=r.text,i=qr[n];if(!i)return null;if(this.consume(),t&&"atom"!==t&&!i.allowedInArgument)throw new $("Got function '"+n+"' with no arguments"+(t?" as "+t:""),r);if("text"===this.mode&&!i.allowedInText)throw new $("Can't use function '"+n+"' in text mode",r);if("math"===this.mode&&!1===i.allowedInMath)throw new $("Can't use function '"+n+"' in math mode",r);t=this.parseArguments(n,i),i=t.args,t=t.optArgs;return this.callFunction(n,i,t,r,e)},c.callFunction=function(e,t,r,n,i){var a=qr[e];if(a&&a.handler)return a.handler({funcName:e,parser:this,token:n,breakOnTokenText:i},t,r);throw new $("No function handler for "+e)},c.parseArguments=function(e,t){var r=t.numArgs+t.numOptionalArgs;if(0===r)return{args:[],optArgs:[]};for(var n=[],i=[],a=0;a<r;a++){var o=t.argTypes&&t.argTypes[a],s=a<t.numOptionalArgs,o=((t.primitive&&null==o||"sqrt"===t.type&&1===a&&null==i[0])&&(o="primitive"),this.parseGroupOfType("argument to '"+e+"'",o,s));if(s)i.push(o);else{if(null==o)throw new $("Null argument, please report this as a bug");n.push(o)}}return{args:n,optArgs:i}},c.parseGroupOfType=function(e,t,r){switch(t){case"color":return this.parseColorGroup(r);case"size":return this.parseSizeGroup(r);case"url":return this.parseUrlGroup(r);case"math":case"text":return this.parseArgumentGroup(r,t);case"hbox":var n=this.parseArgumentGroup(r,"text");return null!=n?{type:"styling",mode:n.mode,body:[n],style:"text"}:null;case"raw":n=this.parseStringGroup("raw",r);return null!=n?{type:"raw",mode:"text",string:n.text}:null;case"primitive":if(r)throw new $("A primitive argument cannot be optional");n=this.parseGroup(e);if(null==n)throw new $("Expected group as "+e,this.fetch());return n;case"original":case null:case void 0:return this.parseArgumentGroup(r);default:throw new $("Unknown group type as "+e,this.fetch())}},c.consumeSpaces=function(){for(;" "===this.fetch().text;)this.consume()},c.parseStringGroup=function(e,t){t=this.gullet.scanArgument(t);if(null==t)return null;for(var r,n="";"EOF"!==(r=this.fetch()).text;)n+=r.text,this.consume();return this.consume(),t.text=n,t},c.parseRegexGroup=function(e,t){for(var r,n=this.fetch(),i=n,a="";"EOF"!==(r=this.fetch()).text&&e.test(a+r.text);)a+=(i=r).text,this.consume();if(""===a)throw new $("Invalid "+t+": '"+n.text+"'",n);return n.range(i,a)},c.parseColorGroup=function(e){e=this.parseStringGroup("color",e);if(null==e)return null;var t=/^(#[a-f0-9]{3}|#?[a-f0-9]{6}|[a-z]+)$/i.exec(e.text);if(!t)throw new $("Invalid color: '"+e.text+"'",e);e=t[0];return/^[0-9a-f]{6}$/i.test(e)&&(e="#"+e),{type:"color-token",mode:this.mode,color:e}},c.parseSizeGroup=function(e){var t,r=!1;if(this.gullet.consumeSpaces(),!(t=e||"{"===this.gullet.future().text?this.parseStringGroup("size",e):this.parseRegexGroup(/^[-+]? *(?:$|\d+|\d+\.\d*|\.\d*) *[a-z]{0,2} *$/,"size")))return null;e||0!==t.text.length||(t.text="0pt",r=!0);e=/([-+]?) *(\d+(?:\.\d*)?|\.\d+) *([a-z]{2})/.exec(t.text);if(!e)throw new $("Invalid size: '"+t.text+"'",t);e={number:+(e[1]+e[2]),unit:e[3]};if(fe(e))return{type:"size",mode:this.mode,value:e,isBlank:r};throw new $("Invalid unit: '"+e.unit+"'",t)},c.parseUrlGroup=function(e){this.gullet.lexer.setCatcode("%",13),this.gullet.lexer.setCatcode("~",12);e=this.parseStringGroup("url",e);if(this.gullet.lexer.setCatcode("%",14),this.gullet.lexer.setCatcode("~",13),null==e)return null;e=e.text.replace(/\\([#$%&~_^{}])/g,"$1");return{type:"url",mode:this.mode,url:e}},c.parseArgumentGroup=function(e,t){e=this.gullet.scanArgument(e);if(null==e)return null;var r=this.mode,n=(t&&this.switchMode(t),this.gullet.beginGroup(),this.parseExpression(!1,"EOF")),e=(this.expect("EOF"),this.gullet.endGroup(),{type:"ordgroup",mode:this.mode,loc:e.loc,body:n});return t&&this.switchMode(r),e},c.parseGroup=function(e,t){var r=this.fetch(),n=r.text;if("{"===n||"\\begingroup"===n){this.consume();var i="{"===n?"}":"\\endgroup",a=(this.gullet.beginGroup(),this.parseExpression(!1,i)),o=this.fetch();this.expect(i),this.gullet.endGroup(),i={type:"ordgroup",mode:this.mode,loc:L0.range(r,o),body:a,semisimple:"\\begingroup"===n||void 0}}else if(null==(i=this.parseFunction(t,e)||this.parseSymbol())&&"\\"===n[0]&&!Ur.hasOwnProperty(n)){if(this.settings.throwOnError)throw new $("Undefined control sequence: "+n,r);i=this.formatUnsupportedCmd(n),this.consume()}return i},c.formLigatures=function(e){for(var t=e.length-1,r=0;r<t;++r){var n=e[r],i=n.text;"-"===i&&"-"===e[r+1].text&&(r+1<t&&"-"===e[r+2].text?(e.splice(r,3,{type:"textord",mode:"text",loc:L0.range(n,e[r+2]),text:"---"}),t-=2):(e.splice(r,2,{type:"textord",mode:"text",loc:L0.range(n,e[r+1]),text:"--"}),--t)),"'"!==i&&"`"!==i||e[r+1].text!==i||(e.splice(r,2,{type:"textord",mode:"text",loc:L0.range(n,e[r+1]),text:i+i}),--t)}},c.parseSymbol=function(){var e=this.fetch(),t=e.text;if(/^\\verb[^a-zA-Z]/.test(t)){this.consume();var r=t.slice(5),n="*"===r.charAt(0);if((r=n?r.slice(1):r).length<2||r.charAt(0)!==r.slice(-1))throw new $("\\verb assertion failed --\n                    please report what input caused this bug");return{type:"verb",mode:"text",body:r=r.slice(1,-1),star:n}}_r.hasOwnProperty(t[0])&&!p[this.mode][t[0]]&&(this.settings.strict&&"math"===this.mode&&this.settings.reportNonstrict("unicodeTextInMathMode",'Accented Unicode text character "'+t[0]+'" used in math mode',e),t=_r[t[0]]+t.substr(1));var i=Ir.exec(t);if(i&&("i"===(t=t.substring(0,i.index))?t="ı":"j"===t&&(t="ȷ")),p[this.mode][t]){this.settings.strict&&"math"===this.mode&&0<="ÐÞþ".indexOf(t)&&this.settings.reportNonstrict("unicodeTextInMathMode",'Latin-1/Unicode text character "'+t[0]+'" used in math mode',e);var r=p[this.mode][t].group,n=L0.range(e),a=De.hasOwnProperty(r)?{type:"atom",mode:this.mode,family:r,loc:n,text:t}:{type:r,mode:this.mode,loc:n,text:t}}else{if(!(128<=t.charCodeAt(0)))return null;this.settings.strict&&(_(t.charCodeAt(0))?"math"===this.mode&&this.settings.reportNonstrict("unicodeTextInMathMode",'Unicode text character "'+t[0]+'" used in math mode',e):this.settings.reportNonstrict("unknownSymbol",'Unrecognized Unicode character "'+t[0]+'" ('+t.charCodeAt(0)+")",e)),a={type:"textord",mode:"text",loc:L0.range(e),text:t}}if(this.consume(),i)for(var o=0;o<i[0].length;o++){var s=i[0][o];if(!jr[s])throw new $("Unknown accent ' "+s+"'",e);var l=jr[s][this.mode]||jr[s].text;if(!l)throw new $("Accent "+s+" unsupported in "+this.mode+" mode",e);a={type:"accent",mode:this.mode,loc:L0.range(e),label:l,isStretchy:!1,isShifty:!0,base:a}}return a},Zr);function Zr(e,t){this.mode=void 0,this.gullet=void 0,this.settings=void 0,this.leftrightDepth=void 0,this.nextToken=void 0,this.mode="math",this.gullet=new Yr(e,t,this.mode),this.settings=t,this.leftrightDepth=0}function Kr(e,t,r){this.settings=void 0,this.expansionCount=void 0,this.lexer=void 0,this.macros=void 0,this.stack=void 0,this.mode=void 0,this.settings=t,this.expansionCount=0,this.feed(e),this.macros=new Rr(Er,t.macros),this.mode=r,this.stack=[]}$r.endOfExpression=["}","\\endgroup","\\end","\\right","&"];function Jr(e,t){if(!("string"==typeof e||e instanceof String))throw new TypeError("KaTeX can only parse string typed expression");delete(e=new $r(e,t)).gullet.macros.current["\\df@tag"];var r=e.parse();if(delete e.gullet.macros.current["\\current@color"],delete e.gullet.macros.current["\\color"],e.gullet.macros.get("\\df@tag")){if(!t.displayMode)throw new $("\\tag works only in display equations");r=[{type:"tag",mode:"text",body:r,tag:e.subparse([new D0("\\df@tag")])}]}return r}function Qr(e,t,r){if(!r.throwOnError&&e instanceof $)return(t=ee.makeSpan(["katex-error"],[new b(t)])).setAttribute("title",e.toString()),t.setAttribute("style","color:"+r.errorColor),t;throw e}function en(e,t){var r,n,i,a,o,s=new H(t);try{var l=Jr(e,s);return r=l,n=e,o=Yt(i=s),"mathml"===i.output?Vt(r,n,o,i.displayMode,!0):(r="html"===i.output?(a=Nt(r,o),ee.makeSpan(["katex"],[a])):(a=Vt(r,n,o,i.displayMode,!1),n=Nt(r,o),ee.makeSpan(["katex"],[a,n])),Xt(r,i))}catch(t){return Qr(t,e,s)}}var o=function(e,t,r){t.textContent="";e=en(e,r).toNode();t.appendChild(e)},tn=("undefined"!=typeof document&&"CSS1Compat"!==document.compatMode&&("undefined"!=typeof console&&console.warn("Warning: KaTeX doesn't work in quirks mode. Make sure your website has a suitable doctype."),o=function(){throw new $("KaTeX doesn't work in quirks mode.")}),{version:"0.15.6",render:o,renderToString:function(e,t){return en(e,t).toMarkup()},ParseError:$,SETTINGS_SCHEMA:E,__parse:function(e,t){t=new H(t);return Jr(e,t)},__renderToDomTree:en,__renderToHTMLTree:function(e,t){var r=new H(t);try{var n=Jr(e,r),i=r;return n=Nt(n,Yt(i)),n=ee.makeSpan(["katex"],[n]),Xt(n,i)}catch(t){return Qr(t,e,r)}},__setFontMetrics:function(e,t){ae[e]=t},__defineSymbol:r,__defineMacro:T,__domTree:{Span:Se,Anchor:Me,SymbolNode:b,SvgNode:Te,PathNode:Be,LineNode:Ce}});return q.default}),function(e,t){if("object"==typeof exports&&"object"==typeof module)module.exports=t(require("katex"));else if("function"==typeof define&&define.amd)define(["katex"],t);else{var r,n="object"==typeof exports?t(require("katex")):t(e.katex);for(r in n)("object"==typeof exports?exports:e)[r]=n[r]}}("undefined"!=typeof self?self:this,function(t){return function(){"use strict";var r={771:function(e){e.exports=t}},n={};function i(e){var t=n[e];if(void 0!==t)return t.exports;t=n[e]={exports:{}};return r[e](t,t.exports,i),t.exports}i.n=function(e){var t=e&&e.__esModule?function(){return e.default}:function(){return e};return i.d(t,{a:t}),t},i.d=function(e,t){for(var r in t)i.o(t,r)&&!i.o(e,r)&&Object.defineProperty(e,r,{enumerable:!0,get:t[r]})},i.o=function(e,t){return Object.prototype.hasOwnProperty.call(e,t)};var e=i(771),a=i.n(e),e=document.body.getElementsByTagName("script");return(e=Array.prototype.slice.call(e)).forEach(function(e){if(!e.type||!e.type.match(/math\/tex/i))return-1;var t=null!=e.type.match(/mode\s*=\s*display(;|\s|\n|$)/),r=document.createElement(t?"div":"span");r.setAttribute("class",t?"equation":"inline-equation");try{a().render(e.text,r,{displayMode:t})}catch(t){r.textContent=e.text}e.parentNode.replaceChild(r,e)}),{}.default}()}),function(e,t){"object"==typeof exports&&"object"==typeof module?module.exports=t(require("katex")):"function"==typeof define&&define.amd?define(["katex"],t):"object"==typeof exports?exports.renderMathInElement=t(require("katex")):e.renderMathInElement=t(e.katex)}("undefined"!=typeof self?self:this,function(m){return function(){"use strict";var r={771:function(e){e.exports=m}},n={};function i(e){var t=n[e];if(void 0!==t)return t.exports;t=n[e]={exports:{}};return r[e](t,t.exports,i),t.exports}i.n=function(e){var t=e&&e.__esModule?function(){return e.default}:function(){return e};return i.d(t,{a:t}),t},i.d=function(e,t){for(var r in t)i.o(t,r)&&!i.o(e,r)&&Object.defineProperty(e,r,{enumerable:!0,get:t[r]})},i.o=function(e,t){return Object.prototype.hasOwnProperty.call(e,t)};var e,s,l,a,t,o={};return i.d(o,{default:function(){return t}}),e=i(771),s=i.n(e),l=/^\\begin{/,a=function(e,t){var r=function(t,e){for(var r,n=[],i=new RegExp("("+e.map(function(e){return e.left.replace(/[-/\\^$*+?.()|[\]{}]/g,"\\$&")}).join("|")+")");-1!==(r=t.search(i));){0<r&&(n.push({type:"text",data:t.slice(0,r)}),t=t.slice(r));var a=e.findIndex(function(e){return t.startsWith(e.left)});if(-1===(r=function(e,t,r){for(var n=r,i=0,a=e.length;n<t.length;){var o=t[n];if(i<=0&&t.slice(n,n+a)===e)return n;"\\"===o?n++:"{"===o?i++:"}"===o&&i--,n++}return-1}(e[a].right,t,e[a].left.length)))break;var o=t.slice(0,r+e[a].right.length),s=l.test(o)?o:t.slice(e[a].left.length,r);n.push({type:"math",data:s,rawData:o,display:e[a].display}),t=t.slice(r+e[a].right.length)}return""!==t&&n.push({type:"text",data:t}),n}(e,t.delimiters);if(1===r.length&&"text"===r[0].type)return null;for(var n=document.createDocumentFragment(),i=0;i<r.length;i++)if("text"===r[i].type)n.appendChild(document.createTextNode(r[i].data));else{var a=document.createElement("span"),o=r[i].data;t.displayMode=r[i].display;try{t.preProcess&&(o=t.preProcess(o)),s().render(o,a,t)}catch(e){if(!(e instanceof s().ParseError))throw e;t.errorCallback("KaTeX auto-render: Failed to parse `"+r[i].data+"` with ",e),n.appendChild(document.createTextNode(r[i].rawData));continue}n.appendChild(a)}return n},t=function(e,t){if(!e)throw new Error("No element provided to render");var r,n={};for(r in t)t.hasOwnProperty(r)&&(n[r]=t[r]);n.delimiters=n.delimiters||[{left:"$$",right:"$$",display:!0},{left:"\\(",right:"\\)",display:!1},{left:"\\begin{equation}",right:"\\end{equation}",display:!0},{left:"\\begin{align}",right:"\\end{align}",display:!0},{left:"\\begin{alignat}",right:"\\end{alignat}",display:!0},{left:"\\begin{gather}",right:"\\end{gather}",display:!0},{left:"\\begin{CD}",right:"\\end{CD}",display:!0},{left:"\\[",right:"\\]",display:!0}],n.ignoredTags=n.ignoredTags||["script","noscript","style","textarea","pre","code","option"],n.ignoredClasses=n.ignoredClasses||[],n.errorCallback=n.errorCallback||console.error,n.macros=n.macros||{},h(e,n)},o.default;function h(e,r){for(var t=0;t<e.childNodes.length;t++){var n,i=e.childNodes[t];3===i.nodeType?(n=a(i.textContent,r))&&(t+=n.childNodes.length-1,e.replaceChild(n,i)):1===i.nodeType&&function(){var t=" "+i.className+" ";-1===r.ignoredTags.indexOf(i.nodeName.toLowerCase())&&r.ignoredClasses.every(function(e){return-1===t.indexOf(" "+e+" ")})&&h(i,r)}()}}}()}),document.addEventListener("DOMContentLoaded",function(){renderMathInElement(document.body,{delimiters:[{left:"$$",right:"$$",display:!0},{left:"$",right:"$",display:!1},{left:"\\(",right:"\\)",display:!1},{left:"\\[",right:"\\]",display:!0}],throwOnError:!1})});