class u0 {
  // The + prefix indicates that these fields aren't writeable
  // Lexer holding the input string.
  // Start offset, zero-based inclusive.
  // End offset, zero-based exclusive.
  constructor(e, t, a) {
    this.lexer = void 0, this.start = void 0, this.end = void 0, this.lexer = e, this.start = t, this.end = a;
  }
  /**
   * Merges two `SourceLocation`s from location providers, given they are
   * provided in order of appearance.
   * - Returns the first one's location if only the first is provided.
   * - Returns a merged range of the first and the last if both are provided
   *   and their lexers match.
   * - Otherwise, returns null.
   */
  static range(e, t) {
    return t ? !e || !e.loc || !t.loc || e.loc.lexer !== t.loc.lexer ? null : new u0(e.loc.lexer, e.loc.start, t.loc.end) : e && e.loc;
  }
}
class x0 {
  // don't expand the token
  // used in \noexpand
  constructor(e, t) {
    this.text = void 0, this.loc = void 0, this.noexpand = void 0, this.treatAsRelax = void 0, this.text = e, this.loc = t;
  }
  /**
   * Given a pair of tokens (this and endToken), compute a `Token` encompassing
   * the whole input range enclosed by these two.
   */
  range(e, t) {
    return new x0(t, u0.range(this, e));
  }
}
class M {
  // Error start position based on passed-in Token or ParseNode.
  // Length of affected text based on passed-in Token or ParseNode.
  // The underlying error message without any context added.
  constructor(e, t) {
    this.name = void 0, this.position = void 0, this.length = void 0, this.rawMessage = void 0;
    var a = "KaTeX parse error: " + e, n, s, o = t && t.loc;
    if (o && o.start <= o.end) {
      var h = o.lexer.input;
      n = o.start, s = o.end, n === h.length ? a += " at end of input: " : a += " at position " + (n + 1) + ": ";
      var c = h.slice(n, s).replace(/[^]/g, "$&̲"), p;
      n > 15 ? p = "…" + h.slice(n - 15, n) : p = h.slice(0, n);
      var g;
      s + 15 < h.length ? g = h.slice(s, s + 15) + "…" : g = h.slice(s), a += p + c + g;
    }
    var y = new Error(a);
    return y.name = "ParseError", y.__proto__ = M.prototype, y.position = n, n != null && s != null && (y.length = s - n), y.rawMessage = e, y;
  }
}
M.prototype.__proto__ = Error.prototype;
var da = function(e, t) {
  return e.indexOf(t) !== -1;
}, fa = function(e, t) {
  return e === void 0 ? t : e;
}, pa = /([A-Z])/g, va = function(e) {
  return e.replace(pa, "-$1").toLowerCase();
}, ga = {
  "&": "&amp;",
  ">": "&gt;",
  "<": "&lt;",
  '"': "&quot;",
  "'": "&#x27;"
}, ba = /[&><"']/g;
function ya(r) {
  return String(r).replace(ba, (e) => ga[e]);
}
var pr = function r(e) {
  return e.type === "ordgroup" || e.type === "color" ? e.body.length === 1 ? r(e.body[0]) : e : e.type === "font" ? r(e.body) : e;
}, xa = function(e) {
  var t = pr(e);
  return t.type === "mathord" || t.type === "textord" || t.type === "atom";
}, wa = function(e) {
  if (!e)
    throw new Error("Expected non-null, but got " + String(e));
  return e;
}, ka = function(e) {
  var t = /^\s*([^\\/#]*?)(?::|&#0*58|&#x0*3a)/i.exec(e);
  return t != null ? t[1] : "_relative";
}, I = {
  contains: da,
  deflt: fa,
  escape: ya,
  hyphenate: va,
  getBaseElem: pr,
  isCharacterBox: xa,
  protocolFromUrl: ka
}, Ae = {
  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: (r) => "#" + r
  },
  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: (r, e) => (e.push(r), e)
  },
  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: (r) => Math.max(0, r),
    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: (r) => Math.max(0, r),
    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: (r) => Math.max(0, r),
    cli: "-e, --max-expand <n>",
    cliProcessor: (r) => r === "Infinity" ? 1 / 0 : parseInt(r)
  },
  globalGroup: {
    type: "boolean",
    cli: !1
  }
};
function Sa(r) {
  if (r.default)
    return r.default;
  var e = r.type, t = Array.isArray(e) ? e[0] : e;
  if (typeof t != "string")
    return t.enum[0];
  switch (t) {
    case "boolean":
      return !1;
    case "string":
      return "";
    case "number":
      return 0;
    case "object":
      return {};
  }
}
class ct {
  constructor(e) {
    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 || {};
    for (var t in Ae)
      if (Ae.hasOwnProperty(t)) {
        var a = Ae[t];
        this[t] = e[t] !== void 0 ? a.processor ? a.processor(e[t]) : e[t] : Sa(a);
      }
  }
  /**
   * Report nonstrict (non-LaTeX-compatible) input.
   * Can safely not be called if `this.strict` is false in JavaScript.
   */
  reportNonstrict(e, t, a) {
    var n = this.strict;
    if (typeof n == "function" && (n = n(e, t, a)), !(!n || n === "ignore")) {
      if (n === !0 || n === "error")
        throw new M("LaTeX-incompatible input and strict mode is set to 'error': " + (t + " [" + e + "]"), a);
      n === "warn" ? typeof console < "u" && console.warn("LaTeX-incompatible input and strict mode is set to 'warn': " + (t + " [" + e + "]")) : typeof console < "u" && console.warn("LaTeX-incompatible input and strict mode is set to " + ("unrecognized '" + n + "': " + t + " [" + e + "]"));
    }
  }
  /**
   * Check whether to apply strict (LaTeX-adhering) behavior for unusual
   * input (like `\\`).  Unlike `nonstrict`, will not throw an error;
   * instead, "error" translates to a return value of `true`, while "ignore"
   * translates to a return value of `false`.  May still print a warning:
   * "warn" prints a warning and returns `false`.
   * This is for the second category of `errorCode`s listed in the README.
   */
  useStrictBehavior(e, t, a) {
    var n = this.strict;
    if (typeof n == "function")
      try {
        n = n(e, t, a);
      } catch {
        n = "error";
      }
    return !n || n === "ignore" ? !1 : n === !0 || n === "error" ? !0 : n === "warn" ? (typeof console < "u" && console.warn("LaTeX-incompatible input and strict mode is set to 'warn': " + (t + " [" + e + "]")), !1) : (typeof console < "u" && console.warn("LaTeX-incompatible input and strict mode is set to " + ("unrecognized '" + n + "': " + t + " [" + e + "]")), !1);
  }
  /**
   * Check whether to test potentially dangerous input, and return
   * `true` (trusted) or `false` (untrusted).  The sole argument `context`
   * should be an object with `command` field specifying the relevant LaTeX
   * command (as a string starting with `\`), and any other arguments, etc.
   * If `context` has a `url` field, a `protocol` field will automatically
   * get added by this function (changing the specified object).
   */
  isTrusted(e) {
    e.url && !e.protocol && (e.protocol = I.protocolFromUrl(e.url));
    var t = typeof this.trust == "function" ? this.trust(e) : this.trust;
    return !!t;
  }
}
class O0 {
  constructor(e, t, a) {
    this.id = void 0, this.size = void 0, this.cramped = void 0, this.id = e, this.size = t, this.cramped = a;
  }
  /**
   * Get the style of a superscript given a base in the current style.
   */
  sup() {
    return b0[Ma[this.id]];
  }
  /**
   * Get the style of a subscript given a base in the current style.
   */
  sub() {
    return b0[za[this.id]];
  }
  /**
   * Get the style of a fraction numerator given the fraction in the current
   * style.
   */
  fracNum() {
    return b0[Aa[this.id]];
  }
  /**
   * Get the style of a fraction denominator given the fraction in the current
   * style.
   */
  fracDen() {
    return b0[Ta[this.id]];
  }
  /**
   * Get the cramped version of a style (in particular, cramping a cramped style
   * doesn't change the style).
   */
  cramp() {
    return b0[Ba[this.id]];
  }
  /**
   * Get a text or display version of this style.
   */
  text() {
    return b0[Da[this.id]];
  }
  /**
   * Return true if this style is tightly spaced (scriptstyle/scriptscriptstyle)
   */
  isTight() {
    return this.size >= 2;
  }
}
var dt = 0, Be = 1, _0 = 2, T0 = 3, le = 4, d0 = 5, ee = 6, n0 = 7, b0 = [new O0(dt, 0, !1), new O0(Be, 0, !0), new O0(_0, 1, !1), new O0(T0, 1, !0), new O0(le, 2, !1), new O0(d0, 2, !0), new O0(ee, 3, !1), new O0(n0, 3, !0)], Ma = [le, d0, le, d0, ee, n0, ee, n0], za = [d0, d0, d0, d0, n0, n0, n0, n0], Aa = [_0, T0, le, d0, ee, n0, ee, n0], Ta = [T0, T0, d0, d0, n0, n0, n0, n0], Ba = [Be, Be, T0, T0, d0, d0, n0, n0], Da = [dt, Be, _0, T0, _0, T0, _0, T0], R = {
  DISPLAY: b0[dt],
  TEXT: b0[_0],
  SCRIPT: b0[le],
  SCRIPTSCRIPT: b0[ee]
}, at = [{
  // Latin characters beyond the Latin-1 characters we have metrics for.
  // Needed for Czech, Hungarian and Turkish text, for example.
  name: "latin",
  blocks: [
    [256, 591],
    // Latin Extended-A and Latin Extended-B
    [768, 879]
    // Combining Diacritical marks
  ]
}, {
  // The Cyrillic script used by Russian and related languages.
  // A Cyrillic subset used to be supported as explicitly defined
  // symbols in symbols.js
  name: "cyrillic",
  blocks: [[1024, 1279]]
}, {
  // Armenian
  name: "armenian",
  blocks: [[1328, 1423]]
}, {
  // The Brahmic scripts of South and Southeast Asia
  // Devanagari (0900–097F)
  // Bengali (0980–09FF)
  // Gurmukhi (0A00–0A7F)
  // Gujarati (0A80–0AFF)
  // Oriya (0B00–0B7F)
  // Tamil (0B80–0BFF)
  // Telugu (0C00–0C7F)
  // Kannada (0C80–0CFF)
  // Malayalam (0D00–0D7F)
  // Sinhala (0D80–0DFF)
  // Thai (0E00–0E7F)
  // Lao (0E80–0EFF)
  // Tibetan (0F00–0FFF)
  // Myanmar (1000–109F)
  name: "brahmic",
  blocks: [[2304, 4255]]
}, {
  name: "georgian",
  blocks: [[4256, 4351]]
}, {
  // Chinese and Japanese.
  // The "k" in cjk is for Korean, but we've separated Korean out
  name: "cjk",
  blocks: [
    [12288, 12543],
    // CJK symbols and punctuation, Hiragana, Katakana
    [19968, 40879],
    // CJK ideograms
    [65280, 65376]
    // Fullwidth punctuation
    // TODO: add halfwidth Katakana and Romanji glyphs
  ]
}, {
  // Korean
  name: "hangul",
  blocks: [[44032, 55215]]
}];
function Ca(r) {
  for (var e = 0; e < at.length; e++)
    for (var t = at[e], a = 0; a < t.blocks.length; a++) {
      var n = t.blocks[a];
      if (r >= n[0] && r <= n[1])
        return t.name;
    }
  return null;
}
var Te = [];
at.forEach((r) => r.blocks.forEach((e) => Te.push(...e)));
function vr(r) {
  for (var e = 0; e < Te.length; e += 2)
    if (r >= Te[e] && r <= Te[e + 1])
      return !0;
  return !1;
}
var Q0 = 80, Na = function(e, t) {
  return "M95," + (622 + e + t) + `
c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14
c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54
c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10
s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429
c69,-144,104.5,-217.7,106.5,-221
l` + e / 2.075 + " -" + e + `
c5.3,-9.3,12,-14,20,-14
H400000v` + (40 + e) + `H845.2724
s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7
c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z
M` + (834 + e) + " " + t + "h400000v" + (40 + e) + "h-400000z";
}, qa = function(e, t) {
  return "M263," + (601 + e + t) + `c0.7,0,18,39.7,52,119
c34,79.3,68.167,158.7,102.5,238c34.3,79.3,51.8,119.3,52.5,120
c340,-704.7,510.7,-1060.3,512,-1067
l` + e / 2.084 + " -" + e + `
c4.7,-7.3,11,-11,19,-11
H40000v` + (40 + e) + `H1012.3
s-271.3,567,-271.3,567c-38.7,80.7,-84,175,-136,283c-52,108,-89.167,185.3,-111.5,232
c-22.3,46.7,-33.8,70.3,-34.5,71c-4.7,4.7,-12.3,7,-23,7s-12,-1,-12,-1
s-109,-253,-109,-253c-72.7,-168,-109.3,-252,-110,-252c-10.7,8,-22,16.7,-34,26
c-22,17.3,-33.3,26,-34,26s-26,-26,-26,-26s76,-59,76,-59s76,-60,76,-60z
M` + (1001 + e) + " " + t + "h400000v" + (40 + e) + "h-400000z";
}, Ra = function(e, t) {
  return "M983 " + (10 + e + t) + `
l` + e / 3.13 + " -" + e + `
c4,-6.7,10,-10,18,-10 H400000v` + (40 + e) + `
H1013.1s-83.4,268,-264.1,840c-180.7,572,-277,876.3,-289,913c-4.7,4.7,-12.7,7,-24,7
s-12,0,-12,0c-1.3,-3.3,-3.7,-11.7,-7,-25c-35.3,-125.3,-106.7,-373.3,-214,-744
c-10,12,-21,25,-33,39s-32,39,-32,39c-6,-5.3,-15,-14,-27,-26s25,-30,25,-30
c26.7,-32.7,52,-63,76,-91s52,-60,52,-60s208,722,208,722
c56,-175.3,126.3,-397.3,211,-666c84.7,-268.7,153.8,-488.2,207.5,-658.5
c53.7,-170.3,84.5,-266.8,92.5,-289.5z
M` + (1001 + e) + " " + t + "h400000v" + (40 + e) + "h-400000z";
}, Ea = function(e, t) {
  return "M424," + (2398 + e + t) + `
c-1.3,-0.7,-38.5,-172,-111.5,-514c-73,-342,-109.8,-513.3,-110.5,-514
c0,-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
s-5,7,-5,7c-4,-3.3,-8.3,-7.7,-13,-13s-13,-13,-13,-13s76,-122,76,-122s77,-121,77,-121
s209,968,209,968c0,-2,84.7,-361.7,254,-1079c169.3,-717.3,254.7,-1077.7,256,-1081
l` + e / 4.223 + " -" + e + `c4,-6.7,10,-10,18,-10 H400000
v` + (40 + e) + `H1014.6
s-87.3,378.7,-272.6,1166c-185.3,787.3,-279.3,1182.3,-282,1185
c-2,6,-10,9,-24,9
c-8,0,-12,-0.7,-12,-2z M` + (1001 + e) + " " + t + `
h400000v` + (40 + e) + "h-400000z";
}, Ia = function(e, t) {
  return "M473," + (2713 + e + t) + `
c339.3,-1799.3,509.3,-2700,510,-2702 l` + e / 5.298 + " -" + e + `
c3.3,-7.3,9.3,-11,18,-11 H400000v` + (40 + e) + `H1017.7
s-90.5,478,-276.2,1466c-185.7,988,-279.5,1483,-281.5,1485c-2,6,-10,9,-24,9
c-8,0,-12,-0.7,-12,-2c0,-1.3,-5.3,-32,-16,-92c-50.7,-293.3,-119.7,-693.3,-207,-1200
c0,-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
s76,-153,76,-153s77,-151,77,-151c0.7,0.7,35.7,202,105,604c67.3,400.7,102,602.7,104,
606zM` + (1001 + e) + " " + t + "h400000v" + (40 + e) + "H1017.7z";
}, Oa = function(e) {
  var t = e / 2;
  return "M400000 " + e + " H0 L" + t + " 0 l65 45 L145 " + (e - 80) + " H400000z";
}, Ha = function(e, t, a) {
  var n = a - 54 - t - e;
  return "M702 " + (e + t) + "H400000" + (40 + e) + `
H742v` + n + `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
h-12l-28-84c-16.667-52-96.667 -294.333-240-727l-212 -643 -85 170
c-4-3.333-8.333-7.667-13 -13l-13-13l77-155 77-156c66 199.333 139 419.667
219 661 l218 661zM702 ` + t + "H400000v" + (40 + e) + "H742z";
}, Fa = function(e, t, a) {
  t = 1e3 * t;
  var n = "";
  switch (e) {
    case "sqrtMain":
      n = Na(t, Q0);
      break;
    case "sqrtSize1":
      n = qa(t, Q0);
      break;
    case "sqrtSize2":
      n = Ra(t, Q0);
      break;
    case "sqrtSize3":
      n = Ea(t, Q0);
      break;
    case "sqrtSize4":
      n = Ia(t, Q0);
      break;
    case "sqrtTall":
      n = Ha(t, Q0, a);
  }
  return n;
}, La = 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 + " H145z" + ("M367 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 + " H257z" + ("M478 0 H521 V" + t + " H478z M478 0 H521 V" + t + " H478z");
    default:
      return "";
  }
}, It = {
  // The doubleleftarrow geometry is from glyph U+21D0 in the font KaTeX Main
  doubleleftarrow: `M262 157
l10-10c34-36 62.7-77 86-123 3.3-8 5-13.3 5-16 0-5.3-6.7-8-20-8-7.3
 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
 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
c2 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
 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
-86-123l-10-10h399738v-40H218c328 0 0 0 0 0l-10-8c-26.7-20-65.7-43-117-69 2.7
-2 6-3.7 10-5 36.7-16 72.3-37.3 107-64l10-8h399782v-40z
m8 0v40h399730v-40zm0 194v40h399730v-40z`,
  // doublerightarrow is from glyph U+21D2 in font KaTeX Main
  doublerightarrow: `M399738 392l
-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
 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
-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
-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
-13h-6c-12 .7-18 4-18 10 0 2 1.7 7 5 15 23.3 46 52 87 86 123l10 10H0v40h399782
c-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
-107 64l-10 8H0v40zM0 157v40h399730v-40zm0 194v40h399730v-40z`,
  // leftarrow is from glyph U+2190 in font KaTeX Main
  leftarrow: `M400000 241H110l3-3c68.7-52.7 113.7-120
 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
-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
c-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
 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
 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
 l-3-3h399890zM100 241v40h399900v-40z`,
  // overbrace is from glyphs U+23A9/23A8/23A7 in font KaTeX_Size4-Regular
  leftbrace: `M6 548l-6-6v-35l6-11c56-104 135.3-181.3 238-232 57.3-28.7 117
-45 179-50h399577v120H403c-43.3 7-81 15-113 26-100.7 33-179.7 91-237 174-2.7
 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
 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
 0 2 .3 4 1 18.688 2.7 76 4.3 172 5h399450v120H429l-6-1c-124.688-8-235-61.7
-331-161C60.687 138.7 32.312 99.3 7 54L0 41V6z`,
  // overgroup is from the MnSymbol package (public domain)
  leftgroup: `M400000 80
H435C64 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
 435 0h399565z`,
  leftgroupunder: `M400000 262
H435C64 262 168.3 112.6 21 82c-5.9-1.2-18 0-18 0-2 0-3 1-3 3v38c76 158 257 219
 435 219h399565z`,
  // Harpoons are from glyph U+21BD in font KaTeX Main
  leftharpoon: `M0 267c.7 5.3 3 10 7 14h399993v-40H93c3.3
-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
-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
-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
 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
-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
-10.7 8-12 10-1.3 2-2 5.7-2 11zm100-26v40h399900v-40zM0 435v40h400000v-40z
m0 0v40h400000v-40z`,
  leftharpoondown: `M7 241c-4 4-6.333 8.667-7 14 0 5.333.667 9 2 11s5.333
 5.333 12 10c90.667 54 156 130 196 228 3.333 10.667 6.333 16.333 9 17 2 .667 5
 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
-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
 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
-2 18-6 2-2.7 1-9.7-3-21-32-87.3-82.7-157.7-152-211l-3-3h399907v-40H7zm93 0
v40h399900v-40zM0 241v40h399900v-40zm0 0v40h399900v-40z`,
  // hook is from glyph U+21A9 in font KaTeX Main
  lefthook: `M400000 281 H103s-33-11.2-61-33.5S0 197.3 0 164s14.2-61.2 42.5
-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
-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
 71.5 23h399859zM103 281v-40h399897v40z`,
  leftlinesegment: `M40 281 V428 H0 V94 H40 V241 H400000 v40z
M40 281 V428 H0 V94 H40 V241 H400000 v40z`,
  leftmapsto: `M40 281 V448H0V74H40V241H400000v40z
M40 281 V448H0V74H40V241H400000v40z`,
  // tofrom is from glyph U+21C4 in font KaTeX AMS Regular
  leftToFrom: `M0 147h400000v40H0zm0 214c68 40 115.7 95.7 143 167h22c15.3 0 23
-.3 23-1 0-1.3-5.3-13.7-16-37-18-35.3-41.3-69-70-101l-7-8h399905v-40H95l7-8
c28.7-32 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
 68 321 0 361zm0-174v-40h399900v40zm100 154v40h399900v-40z`,
  longequal: `M0 50 h400000 v40H0z m0 194h40000v40H0z
M0 50 h400000 v40H0z m0 194h40000v40H0z`,
  midbrace: `M200428 334
c-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
-53.3 86.7-123.7 153-211 199-66.7 36-137.3 56.3-212 62H0V214h199568c178.3-11.7
 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
 12 44.7 59.3 101.3 106.3 170 141s145.3 54.3 229 60h199572v120z`,
  midbraceunder: `M199572 214
c100.7 8.3 195.3 44 280 108 55.3 42 101.7 93 139 153l9 14c2.7-4 5.7-8.7 9-14
 53.3-86.7 123.7-153 211-199 66.7-36 137.3-56.3 212-62h199568v120H200432c-178.3
 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
-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
-320.3 177.6S193.1 320.6 193.1 249.8c0-71.4 46.9-178.2 319.5-178.2z
m368.1 178.2c0-86.4-60.9-215.4-368.1-215.4-306.4 0-367.3 129-367.3 215.4 0 85.8
60.9 214.8 367.3 214.8 307.2 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
-451.1 228.8-386.3 0-452.7-137.5-452.7-228.8 0-92.4 66.4-230 452.7-230z
m502.4 230c0-111.2-82.4-277.2-502.4-277.2s-504 166-504 277.2
c0 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
-480.5 177.6S202.1 320.6 202.1 249.8c0-71.4 70.5-178.2 479.3-178.2z
m525.8 178.2c0-86.4-86.8-215.4-525.7-215.4-437.9 0-524.7 129-524.7 215.4 0
85.8 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
-707.8 275.8-606 0-710.2-165.8-710.2-275.8C311 218.8 415.2 53 1021.2 53z
m770.4 277.1c0-131.2-126.4-327.6-770.5-327.6S248.4 198.9 248.4 330.1
c0 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
-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
 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
 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
-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
-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
 151.7 139 205zm0 0v40h399900v-40z`,
  rightbrace: `M400000 542l
-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
s-117.2-55.8-184.5-66.5c-.7 0-2-.3-4-1-18.7-2.7-76-4.3-172-5H0V214h399571l6 1
c124.7 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
 28.7-117 45-179 50H-300V214h399897c43.3-7 81-15 113-26 100.7-33 179.7-91 237
-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
 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
 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
-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
-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
 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
-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
 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
m0 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
 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
-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
-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
 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
 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
-64.7 57-92 95-27.3 38-48.7 77.7-64 119-3.3 8.7-5 14-5 16zM0 435v40h399900v-40z
m0-194v40h400000v-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
 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
-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
 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
M399960 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
 1 0 1.3 5.3 13.7 16 37 18 35.3 41.3 69 70 101l7 8H0v40h399905l-7 8c-28.7 32
-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
-167z M100 147v40h399900v-40zM0 341v40h399900v-40z`,
  // twoheadleftarrow is from glyph U+219E in font KaTeX AMS Regular
  twoheadleftarrow: `M0 167c68 40
 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
-70-101l-7-8h125l9 7c50.7 39.3 85 86 103 140h46c0-4.7-6.3-18.7-19-42-18-35.3
-40-67.3-66-96l-9-9h399716v-40H284l9-9c26-28.7 48-60.7 66-96 12.7-23.333 19
-37.333 19-42h-46c-18 54-52.3 100.7-103 140l-9 7H95l7-8c28.7-32 52-65.7 70-101
 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
c-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
 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
 18 35.3 40 67.3 66 96l9 9H0v40h399716l-9 9c-26 28.7-48 60.7-66 96-12.7 23.333
-19 37.333-19 42h46c18-54 52.3-100.7 103-140l9-7h125l-7 8c-28.7 32-52 65.7-70
 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 is a modified version of a glyph from the MnSymbol package
  tilde1: `M200 55.538c-77 0-168 73.953-177 73.953-3 0-7
-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
 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
 4.35-2 7.613-5 9.788l-19 13.05c-92 63.077-116.937 75.308-183 76.128
-68.267.847-113-73.952-191-73.952z`,
  // ditto tilde2, tilde3, & tilde4
  tilde2: `M344 55.266c-142 0-300.638 81.316-311.5 86.418
-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
 31.9 283 0 358 0c148 0 188 122 331 122s314-97 326-97c4 0 8 2 10 7l7 21.114
c1 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
 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
-11-10.37L.15 138c-1-7 3-12 10-13l19.2-6.4C378.4 40.7 634.3 0 804.3 0c337 0
 411.8 157 746.8 157 328 0 754-112 773-112 5 0 10 3 11 9l1 14.075c1 8.066-.697
 16.595-6.697 17.492l-21.052 7.31c-367.9 98.146-609.15 122.696-778.15 122.696
 -338 0-409-156.573-744-156.573z`,
  tilde4: `M786 58C457 58 32 177.487 13 177.487c-6 0-10-3.345
-11-10.035L.15 143c-1-7 3-12 10-13l22-6.7C381.2 35 637.15 0 807.15 0c337 0 409
 177 744 177 328 0 754-127 773-127 5 0 10 3 11 9l1 14.794c1 7.805-3 13.38-9
 14.495l-20.7 5.574c-366.85 99.79-607.3 139.372-776.3 139.372-338 0-409
 -175.236-744-175.236z`,
  // vec is from glyph U+20D7 in font KaTeX Main
  vec: `M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5
3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11
10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63
-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
-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59
H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359
c-16-25.333-24-45-24-59z`,
  // widehat1 is a modified version of a glyph from the MnSymbol package
  widehat1: `M529 0h5l519 115c5 1 9 5 9 10 0 1-1 2-1 3l-4 22
c-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`,
  // ditto widehat2, widehat3, & widehat4
  widehat2: `M1181 0h2l1171 176c6 0 10 5 10 11l-2 23c-1 6-5 10
-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
-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
-11 10h-1L1182 67 15 340h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z`,
  // widecheck paths are all inverted versions of widehat
  widecheck1: `M529,159h5l519,-115c5,-1,9,-5,9,-10c0,-1,-1,-2,-1,-3l-4,-22c-1,
-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,
-11,-10h-1l-1168,153l-1167,-153h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z`,
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  hasClass(e) {
    return I.contains(this.classes, e);
  }
  /** Convert the fragment into a node. */
  toNode() {
    for (var e = document.createDocumentFragment(), t = 0; t < this.children.length; t++)
      e.appendChild(this.children[t].toNode());
    return e;
  }
  /** Convert the fragment into HTML markup. */
  toMarkup() {
    for (var e = "", t = 0; t < this.children.length; t++)
      e += this.children[t].toMarkup();
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  /**
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    var e = (t) => t.toText();
    return this.children.map(e).join("");
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}
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    8971: [0.65002, 1.15, 0, 0, 0.52778],
    10216: [0.65002, 1.15, 0, 0, 0.61111],
    10217: [0.65002, 1.15, 0, 0, 0.61111],
    10752: [0.55001, 1.05, 0, 0, 1.51112],
    10753: [0.55001, 1.05, 0, 0, 1.51112],
    10754: [0.55001, 1.05, 0, 0, 1.51112],
    10756: [0.55001, 1.05, 0, 0, 1.11111],
    10758: [0.55001, 1.05, 0, 0, 1.11111]
  },
  "Size3-Regular": {
    32: [0, 0, 0, 0, 0.25],
    40: [0.95003, 1.45, 0, 0, 0.73611],
    41: [0.95003, 1.45, 0, 0, 0.73611],
    47: [0.95003, 1.45, 0, 0, 1.04445],
    91: [0.95003, 1.45, 0, 0, 0.52778],
    92: [0.95003, 1.45, 0, 0, 1.04445],
    93: [0.95003, 1.45, 0, 0, 0.52778],
    123: [0.95003, 1.45, 0, 0, 0.75],
    125: [0.95003, 1.45, 0, 0, 0.75],
    160: [0, 0, 0, 0, 0.25],
    710: [0, 0.75, 0, 0, 1.44445],
    732: [0, 0.75, 0, 0, 1.44445],
    770: [0, 0.75, 0, 0, 1.44445],
    771: [0, 0.75, 0, 0, 1.44445],
    8730: [0.95003, 1.45, 0, 0, 1],
    8968: [0.95003, 1.45, 0, 0, 0.58334],
    8969: [0.95003, 1.45, 0, 0, 0.58334],
    8970: [0.95003, 1.45, 0, 0, 0.58334],
    8971: [0.95003, 1.45, 0, 0, 0.58334],
    10216: [0.95003, 1.45, 0, 0, 0.75],
    10217: [0.95003, 1.45, 0, 0, 0.75]
  },
  "Size4-Regular": {
    32: [0, 0, 0, 0, 0.25],
    40: [1.25003, 1.75, 0, 0, 0.79167],
    41: [1.25003, 1.75, 0, 0, 0.79167],
    47: [1.25003, 1.75, 0, 0, 1.27778],
    91: [1.25003, 1.75, 0, 0, 0.58334],
    92: [1.25003, 1.75, 0, 0, 1.27778],
    93: [1.25003, 1.75, 0, 0, 0.58334],
    123: [1.25003, 1.75, 0, 0, 0.80556],
    125: [1.25003, 1.75, 0, 0, 0.80556],
    160: [0, 0, 0, 0, 0.25],
    710: [0, 0.825, 0, 0, 1.8889],
    732: [0, 0.825, 0, 0, 1.8889],
    770: [0, 0.825, 0, 0, 1.8889],
    771: [0, 0.825, 0, 0, 1.8889],
    8730: [1.25003, 1.75, 0, 0, 1],
    8968: [1.25003, 1.75, 0, 0, 0.63889],
    8969: [1.25003, 1.75, 0, 0, 0.63889],
    8970: [1.25003, 1.75, 0, 0, 0.63889],
    8971: [1.25003, 1.75, 0, 0, 0.63889],
    9115: [0.64502, 1.155, 0, 0, 0.875],
    9116: [1e-5, 0.6, 0, 0, 0.875],
    9117: [0.64502, 1.155, 0, 0, 0.875],
    9118: [0.64502, 1.155, 0, 0, 0.875],
    9119: [1e-5, 0.6, 0, 0, 0.875],
    9120: [0.64502, 1.155, 0, 0, 0.875],
    9121: [0.64502, 1.155, 0, 0, 0.66667],
    9122: [-99e-5, 0.601, 0, 0, 0.66667],
    9123: [0.64502, 1.155, 0, 0, 0.66667],
    9124: [0.64502, 1.155, 0, 0, 0.66667],
    9125: [-99e-5, 0.601, 0, 0, 0.66667],
    9126: [0.64502, 1.155, 0, 0, 0.66667],
    9127: [1e-5, 0.9, 0, 0, 0.88889],
    9128: [0.65002, 1.15, 0, 0, 0.88889],
    9129: [0.90001, 0, 0, 0, 0.88889],
    9130: [0, 0.3, 0, 0, 0.88889],
    9131: [1e-5, 0.9, 0, 0, 0.88889],
    9132: [0.65002, 1.15, 0, 0, 0.88889],
    9133: [0.90001, 0, 0, 0, 0.88889],
    9143: [0.88502, 0.915, 0, 0, 1.05556],
    10216: [1.25003, 1.75, 0, 0, 0.80556],
    10217: [1.25003, 1.75, 0, 0, 0.80556],
    57344: [-499e-5, 0.605, 0, 0, 1.05556],
    57345: [-499e-5, 0.605, 0, 0, 1.05556],
    57680: [0, 0.12, 0, 0, 0.45],
    57681: [0, 0.12, 0, 0, 0.45],
    57682: [0, 0.12, 0, 0, 0.45],
    57683: [0, 0.12, 0, 0, 0.45]
  },
  "Typewriter-Regular": {
    32: [0, 0, 0, 0, 0.525],
    33: [0, 0.61111, 0, 0, 0.525],
    34: [0, 0.61111, 0, 0, 0.525],
    35: [0, 0.61111, 0, 0, 0.525],
    36: [0.08333, 0.69444, 0, 0, 0.525],
    37: [0.08333, 0.69444, 0, 0, 0.525],
    38: [0, 0.61111, 0, 0, 0.525],
    39: [0, 0.61111, 0, 0, 0.525],
    40: [0.08333, 0.69444, 0, 0, 0.525],
    41: [0.08333, 0.69444, 0, 0, 0.525],
    42: [0, 0.52083, 0, 0, 0.525],
    43: [-0.08056, 0.53055, 0, 0, 0.525],
    44: [0.13889, 0.125, 0, 0, 0.525],
    45: [-0.08056, 0.53055, 0, 0, 0.525],
    46: [0, 0.125, 0, 0, 0.525],
    47: [0.08333, 0.69444, 0, 0, 0.525],
    48: [0, 0.61111, 0, 0, 0.525],
    49: [0, 0.61111, 0, 0, 0.525],
    50: [0, 0.61111, 0, 0, 0.525],
    51: [0, 0.61111, 0, 0, 0.525],
    52: [0, 0.61111, 0, 0, 0.525],
    53: [0, 0.61111, 0, 0, 0.525],
    54: [0, 0.61111, 0, 0, 0.525],
    55: [0, 0.61111, 0, 0, 0.525],
    56: [0, 0.61111, 0, 0, 0.525],
    57: [0, 0.61111, 0, 0, 0.525],
    58: [0, 0.43056, 0, 0, 0.525],
    59: [0.13889, 0.43056, 0, 0, 0.525],
    60: [-0.05556, 0.55556, 0, 0, 0.525],
    61: [-0.19549, 0.41562, 0, 0, 0.525],
    62: [-0.05556, 0.55556, 0, 0, 0.525],
    63: [0, 0.61111, 0, 0, 0.525],
    64: [0, 0.61111, 0, 0, 0.525],
    65: [0, 0.61111, 0, 0, 0.525],
    66: [0, 0.61111, 0, 0, 0.525],
    67: [0, 0.61111, 0, 0, 0.525],
    68: [0, 0.61111, 0, 0, 0.525],
    69: [0, 0.61111, 0, 0, 0.525],
    70: [0, 0.61111, 0, 0, 0.525],
    71: [0, 0.61111, 0, 0, 0.525],
    72: [0, 0.61111, 0, 0, 0.525],
    73: [0, 0.61111, 0, 0, 0.525],
    74: [0, 0.61111, 0, 0, 0.525],
    75: [0, 0.61111, 0, 0, 0.525],
    76: [0, 0.61111, 0, 0, 0.525],
    77: [0, 0.61111, 0, 0, 0.525],
    78: [0, 0.61111, 0, 0, 0.525],
    79: [0, 0.61111, 0, 0, 0.525],
    80: [0, 0.61111, 0, 0, 0.525],
    81: [0.13889, 0.61111, 0, 0, 0.525],
    82: [0, 0.61111, 0, 0, 0.525],
    83: [0, 0.61111, 0, 0, 0.525],
    84: [0, 0.61111, 0, 0, 0.525],
    85: [0, 0.61111, 0, 0, 0.525],
    86: [0, 0.61111, 0, 0, 0.525],
    87: [0, 0.61111, 0, 0, 0.525],
    88: [0, 0.61111, 0, 0, 0.525],
    89: [0, 0.61111, 0, 0, 0.525],
    90: [0, 0.61111, 0, 0, 0.525],
    91: [0.08333, 0.69444, 0, 0, 0.525],
    92: [0.08333, 0.69444, 0, 0, 0.525],
    93: [0.08333, 0.69444, 0, 0, 0.525],
    94: [0, 0.61111, 0, 0, 0.525],
    95: [0.09514, 0, 0, 0, 0.525],
    96: [0, 0.61111, 0, 0, 0.525],
    97: [0, 0.43056, 0, 0, 0.525],
    98: [0, 0.61111, 0, 0, 0.525],
    99: [0, 0.43056, 0, 0, 0.525],
    100: [0, 0.61111, 0, 0, 0.525],
    101: [0, 0.43056, 0, 0, 0.525],
    102: [0, 0.61111, 0, 0, 0.525],
    103: [0.22222, 0.43056, 0, 0, 0.525],
    104: [0, 0.61111, 0, 0, 0.525],
    105: [0, 0.61111, 0, 0, 0.525],
    106: [0.22222, 0.61111, 0, 0, 0.525],
    107: [0, 0.61111, 0, 0, 0.525],
    108: [0, 0.61111, 0, 0, 0.525],
    109: [0, 0.43056, 0, 0, 0.525],
    110: [0, 0.43056, 0, 0, 0.525],
    111: [0, 0.43056, 0, 0, 0.525],
    112: [0.22222, 0.43056, 0, 0, 0.525],
    113: [0.22222, 0.43056, 0, 0, 0.525],
    114: [0, 0.43056, 0, 0, 0.525],
    115: [0, 0.43056, 0, 0, 0.525],
    116: [0, 0.55358, 0, 0, 0.525],
    117: [0, 0.43056, 0, 0, 0.525],
    118: [0, 0.43056, 0, 0, 0.525],
    119: [0, 0.43056, 0, 0, 0.525],
    120: [0, 0.43056, 0, 0, 0.525],
    121: [0.22222, 0.43056, 0, 0, 0.525],
    122: [0, 0.43056, 0, 0, 0.525],
    123: [0.08333, 0.69444, 0, 0, 0.525],
    124: [0.08333, 0.69444, 0, 0, 0.525],
    125: [0.08333, 0.69444, 0, 0, 0.525],
    126: [0, 0.61111, 0, 0, 0.525],
    127: [0, 0.61111, 0, 0, 0.525],
    160: [0, 0, 0, 0, 0.525],
    176: [0, 0.61111, 0, 0, 0.525],
    184: [0.19445, 0, 0, 0, 0.525],
    305: [0, 0.43056, 0, 0, 0.525],
    567: [0.22222, 0.43056, 0, 0, 0.525],
    711: [0, 0.56597, 0, 0, 0.525],
    713: [0, 0.56555, 0, 0, 0.525],
    714: [0, 0.61111, 0, 0, 0.525],
    715: [0, 0.61111, 0, 0, 0.525],
    728: [0, 0.61111, 0, 0, 0.525],
    730: [0, 0.61111, 0, 0, 0.525],
    770: [0, 0.61111, 0, 0, 0.525],
    771: [0, 0.61111, 0, 0, 0.525],
    776: [0, 0.61111, 0, 0, 0.525],
    915: [0, 0.61111, 0, 0, 0.525],
    916: [0, 0.61111, 0, 0, 0.525],
    920: [0, 0.61111, 0, 0, 0.525],
    923: [0, 0.61111, 0, 0, 0.525],
    926: [0, 0.61111, 0, 0, 0.525],
    928: [0, 0.61111, 0, 0, 0.525],
    931: [0, 0.61111, 0, 0, 0.525],
    933: [0, 0.61111, 0, 0, 0.525],
    934: [0, 0.61111, 0, 0, 0.525],
    936: [0, 0.61111, 0, 0, 0.525],
    937: [0, 0.61111, 0, 0, 0.525],
    8216: [0, 0.61111, 0, 0, 0.525],
    8217: [0, 0.61111, 0, 0, 0.525],
    8242: [0, 0.61111, 0, 0, 0.525],
    9251: [0.11111, 0.21944, 0, 0, 0.525]
  }
}, ge = {
  slant: [0.25, 0.25, 0.25],
  // sigma1
  space: [0, 0, 0],
  // sigma2
  stretch: [0, 0, 0],
  // sigma3
  shrink: [0, 0, 0],
  // sigma4
  xHeight: [0.431, 0.431, 0.431],
  // sigma5
  quad: [1, 1.171, 1.472],
  // sigma6
  extraSpace: [0, 0, 0],
  // sigma7
  num1: [0.677, 0.732, 0.925],
  // sigma8
  num2: [0.394, 0.384, 0.387],
  // sigma9
  num3: [0.444, 0.471, 0.504],
  // sigma10
  denom1: [0.686, 0.752, 1.025],
  // sigma11
  denom2: [0.345, 0.344, 0.532],
  // sigma12
  sup1: [0.413, 0.503, 0.504],
  // sigma13
  sup2: [0.363, 0.431, 0.404],
  // sigma14
  sup3: [0.289, 0.286, 0.294],
  // sigma15
  sub1: [0.15, 0.143, 0.2],
  // sigma16
  sub2: [0.247, 0.286, 0.4],
  // sigma17
  supDrop: [0.386, 0.353, 0.494],
  // sigma18
  subDrop: [0.05, 0.071, 0.1],
  // sigma19
  delim1: [2.39, 1.7, 1.98],
  // sigma20
  delim2: [1.01, 1.157, 1.42],
  // sigma21
  axisHeight: [0.25, 0.25, 0.25],
  // sigma22
  // These font metrics are extracted from TeX by using tftopl on cmex10.tfm;
  // they correspond to the font parameters of the extension fonts (family 3).
  // See the TeXbook, page 441. In AMSTeX, the extension fonts scale; to
  // match cmex7, we'd use cmex7.tfm values for script and scriptscript
  // values.
  defaultRuleThickness: [0.04, 0.049, 0.049],
  // xi8; cmex7: 0.049
  bigOpSpacing1: [0.111, 0.111, 0.111],
  // xi9
  bigOpSpacing2: [0.166, 0.166, 0.166],
  // xi10
  bigOpSpacing3: [0.2, 0.2, 0.2],
  // xi11
  bigOpSpacing4: [0.6, 0.611, 0.611],
  // xi12; cmex7: 0.611
  bigOpSpacing5: [0.1, 0.143, 0.143],
  // xi13; cmex7: 0.143
  // The \sqrt rule width is taken from the height of the surd character.
  // Since we use the same font at all sizes, this thickness doesn't scale.
  sqrtRuleThickness: [0.04, 0.04, 0.04],
  // This value determines how large a pt is, for metrics which are defined
  // in terms of pts.
  // This value is also used in katex.less; if you change it make sure the
  // values match.
  ptPerEm: [10, 10, 10],
  // The space between adjacent `|` columns in an array definition. From
  // `\showthe\doublerulesep` in LaTeX. Equals 2.0 / ptPerEm.
  doubleRuleSep: [0.2, 0.2, 0.2],
  // The width of separator lines in {array} environments. From
  // `\showthe\arrayrulewidth` in LaTeX. Equals 0.4 / ptPerEm.
  arrayRuleWidth: [0.04, 0.04, 0.04],
  // Two values from LaTeX source2e:
  fboxsep: [0.3, 0.3, 0.3],
  //        3 pt / ptPerEm
  fboxrule: [0.04, 0.04, 0.04]
  // 0.4 pt / ptPerEm
}, Ot = {
  // Latin-1
  Å: "A",
  Ð: "D",
  Þ: "o",
  å: "a",
  ð: "d",
  þ: "o",
  // Cyrillic
  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 Ga(r, e) {
  y0[r] = e;
}
function ft(r, e, t) {
  if (!y0[e])
    throw new Error("Font metrics not found for font: " + e + ".");
  var a = r.charCodeAt(0), n = y0[e][a];
  if (!n && r[0] in Ot && (a = Ot[r[0]].charCodeAt(0), n = y0[e][a]), !n && t === "text" && vr(a) && (n = y0[e][77]), n)
    return {
      depth: n[0],
      height: n[1],
      italic: n[2],
      skew: n[3],
      width: n[4]
    };
}
var Ue = {};
function Va(r) {
  var e;
  if (r >= 5 ? e = 0 : r >= 3 ? e = 1 : e = 2, !Ue[e]) {
    var t = Ue[e] = {
      cssEmPerMu: ge.quad[e] / 18
    };
    for (var a in ge)
      ge.hasOwnProperty(a) && (t[a] = ge[a][e]);
  }
  return Ue[e];
}
var Ua = [
  // Each element contains [textsize, scriptsize, scriptscriptsize].
  // The size mappings are taken from TeX with \normalsize=10pt.
  [1, 1, 1],
  // size1: [5, 5, 5]              \tiny
  [2, 1, 1],
  // size2: [6, 5, 5]
  [3, 1, 1],
  // size3: [7, 5, 5]              \scriptsize
  [4, 2, 1],
  // size4: [8, 6, 5]              \footnotesize
  [5, 2, 1],
  // size5: [9, 6, 5]              \small
  [6, 3, 1],
  // size6: [10, 7, 5]             \normalsize
  [7, 4, 2],
  // size7: [12, 8, 6]             \large
  [8, 6, 3],
  // size8: [14.4, 10, 7]          \Large
  [9, 7, 6],
  // size9: [17.28, 12, 10]        \LARGE
  [10, 8, 7],
  // size10: [20.74, 14.4, 12]     \huge
  [11, 10, 9]
  // size11: [24.88, 20.74, 17.28] \HUGE
], Ht = [
  // fontMetrics.js:getGlobalMetrics also uses size indexes, so if
  // you change size indexes, change that function.
  0.5,
  0.6,
  0.7,
  0.8,
  0.9,
  1,
  1.2,
  1.44,
  1.728,
  2.074,
  2.488
], Ft = function(e, t) {
  return t.size < 2 ? e : Ua[e - 1][t.size - 1];
};
class A0 {
  // A font family applies to a group of fonts (i.e. SansSerif), while a font
  // represents a specific font (i.e. SansSerif Bold).
  // See: https://tex.stackexchange.com/questions/22350/difference-between-textrm-and-mathrm
  /**
   * The base size index.
   */
  constructor(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 || A0.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 = Ht[this.size - 1], this.maxSize = e.maxSize, this.minRuleThickness = e.minRuleThickness, this._fontMetrics = void 0;
  }
  /**
   * Returns a new options object with the same properties as "this".  Properties
   * from "extension" will be copied to the new options object.
   */
  extend(e) {
    var t = {
      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 (var a in e)
      e.hasOwnProperty(a) && (t[a] = e[a]);
    return new A0(t);
  }
  /**
   * Return an options object with the given style. If `this.style === style`,
   * returns `this`.
   */
  havingStyle(e) {
    return this.style === e ? this : this.extend({
      style: e,
      size: Ft(this.textSize, e)
    });
  }
  /**
   * Return an options object with a cramped version of the current style. If
   * the current style is cramped, returns `this`.
   */
  havingCrampedStyle() {
    return this.havingStyle(this.style.cramp());
  }
  /**
   * Return an options object with the given size and in at least `\textstyle`.
   * Returns `this` if appropriate.
   */
  havingSize(e) {
    return this.size === e && this.textSize === e ? this : this.extend({
      style: this.style.text(),
      size: e,
      textSize: e,
      sizeMultiplier: Ht[e - 1]
    });
  }
  /**
   * Like `this.havingSize(BASESIZE).havingStyle(style)`. If `style` is omitted,
   * changes to at least `\textstyle`.
   */
  havingBaseStyle(e) {
    e = e || this.style.text();
    var t = Ft(A0.BASESIZE, e);
    return this.size === t && this.textSize === A0.BASESIZE && this.style === e ? this : this.extend({
      style: e,
      size: t
    });
  }
  /**
   * Remove the effect of sizing changes such as \Huge.
   * Keep the effect of the current style, such as \scriptstyle.
   */
  havingBaseSizing() {
    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
    });
  }
  /**
   * Create a new options object with the given color.
   */
  withColor(e) {
    return this.extend({
      color: e
    });
  }
  /**
   * Create a new options object with "phantom" set to true.
   */
  withPhantom() {
    return this.extend({
      phantom: !0
    });
  }
  /**
   * Creates a new options object with the given math font or old text font.
   * @type {[type]}
   */
  withFont(e) {
    return this.extend({
      font: e
    });
  }
  /**
   * Create a new options objects with the given fontFamily.
   */
  withTextFontFamily(e) {
    return this.extend({
      fontFamily: e,
      font: ""
    });
  }
  /**
   * Creates a new options object with the given font weight
   */
  withTextFontWeight(e) {
    return this.extend({
      fontWeight: e,
      font: ""
    });
  }
  /**
   * Creates a new options object with the given font weight
   */
  withTextFontShape(e) {
    return this.extend({
      fontShape: e,
      font: ""
    });
  }
  /**
   * Return the CSS sizing classes required to switch from enclosing options
   * `oldOptions` to `this`. Returns an array of classes.
   */
  sizingClasses(e) {
    return e.size !== this.size ? ["sizing", "reset-size" + e.size, "size" + this.size] : [];
  }
  /**
   * Return the CSS sizing classes required to switch to the base size. Like
   * `this.havingSize(BASESIZE).sizingClasses(this)`.
   */
  baseSizingClasses() {
    return this.size !== A0.BASESIZE ? ["sizing", "reset-size" + this.size, "size" + A0.BASESIZE] : [];
  }
  /**
   * Return the font metrics for this size.
   */
  fontMetrics() {
    return this._fontMetrics || (this._fontMetrics = Va(this.size)), this._fontMetrics;
  }
  /**
   * Gets the CSS color of the current options object
   */
  getColor() {
    return this.phantom ? "transparent" : this.color;
  }
}
A0.BASESIZE = 6;
var nt = {
  // https://en.wikibooks.org/wiki/LaTeX/Lengths and
  // https://tex.stackexchange.com/a/8263
  pt: 1,
  // TeX point
  mm: 7227 / 2540,
  // millimeter
  cm: 7227 / 254,
  // centimeter
  in: 72.27,
  // inch
  bp: 803 / 800,
  // big (PostScript) points
  pc: 12,
  // pica
  dd: 1238 / 1157,
  // didot
  cc: 14856 / 1157,
  // cicero (12 didot)
  nd: 685 / 642,
  // new didot
  nc: 1370 / 107,
  // new cicero (12 new didot)
  sp: 1 / 65536,
  // scaled point (TeX's internal smallest unit)
  // https://tex.stackexchange.com/a/41371
  px: 803 / 800
  // \pdfpxdimen defaults to 1 bp in pdfTeX and LuaTeX
}, Ya = {
  ex: !0,
  em: !0,
  mu: !0
}, gr = function(e) {
  return typeof e != "string" && (e = e.unit), e in nt || e in Ya || e === "ex";
}, K = function(e, t) {
  var a;
  if (e.unit in nt)
    a = nt[e.unit] / t.fontMetrics().ptPerEm / t.sizeMultiplier;
  else if (e.unit === "mu")
    a = t.fontMetrics().cssEmPerMu;
  else {
    var n;
    if (t.style.isTight() ? n = t.havingStyle(t.style.text()) : n = t, e.unit === "ex")
      a = n.fontMetrics().xHeight;
    else if (e.unit === "em")
      a = n.fontMetrics().quad;
    else
      throw new M("Invalid unit: '" + e.unit + "'");
    n !== t && (a *= n.sizeMultiplier / t.sizeMultiplier);
  }
  return Math.min(e.number * a, t.maxSize);
}, A = function(e) {
  return +e.toFixed(4) + "em";
}, L0 = function(e) {
  return e.filter((t) => t).join(" ");
}, br = function(e, t, a) {
  if (this.classes = e || [], this.attributes = {}, this.height = 0, this.depth = 0, this.maxFontSize = 0, this.style = a || {}, t) {
    t.style.isTight() && this.classes.push("mtight");
    var n = t.getColor();
    n && (this.style.color = n);
  }
}, yr = function(e) {
  var t = document.createElement(e);
  t.className = L0(this.classes);
  for (var a in this.style)
    this.style.hasOwnProperty(a) && (t.style[a] = this.style[a]);
  for (var n in this.attributes)
    this.attributes.hasOwnProperty(n) && t.setAttribute(n, this.attributes[n]);
  for (var s = 0; s < this.children.length; s++)
    t.appendChild(this.children[s].toNode());
  return t;
}, xr = function(e) {
  var t = "<" + e;
  this.classes.length && (t += ' class="' + I.escape(L0(this.classes)) + '"');
  var a = "";
  for (var n in this.style)
    this.style.hasOwnProperty(n) && (a += I.hyphenate(n) + ":" + this.style[n] + ";");
  a && (t += ' style="' + I.escape(a) + '"');
  for (var s in this.attributes)
    this.attributes.hasOwnProperty(s) && (t += " " + s + '="' + I.escape(this.attributes[s]) + '"');
  t += ">";
  for (var o = 0; o < this.children.length; o++)
    t += this.children[o].toMarkup();
  return t += "</" + e + ">", t;
};
class me {
  constructor(e, t, a, 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, br.call(this, e, a, n), this.children = t || [];
  }
  /**
   * Sets an arbitrary attribute on the span. Warning: use this wisely. Not
   * all browsers support attributes the same, and having too many custom
   * attributes is probably bad.
   */
  setAttribute(e, t) {
    this.attributes[e] = t;
  }
  hasClass(e) {
    return I.contains(this.classes, e);
  }
  toNode() {
    return yr.call(this, "span");
  }
  toMarkup() {
    return xr.call(this, "span");
  }
}
class pt {
  constructor(e, t, a, 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, br.call(this, t, n), this.children = a || [], this.setAttribute("href", e);
  }
  setAttribute(e, t) {
    this.attributes[e] = t;
  }
  hasClass(e) {
    return I.contains(this.classes, e);
  }
  toNode() {
    return yr.call(this, "a");
  }
  toMarkup() {
    return xr.call(this, "a");
  }
}
class Xa {
  constructor(e, t, a) {
    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 = a;
  }
  hasClass(e) {
    return I.contains(this.classes, e);
  }
  toNode() {
    var e = document.createElement("img");
    e.src = this.src, e.alt = this.alt, e.className = "mord";
    for (var t in this.style)
      this.style.hasOwnProperty(t) && (e.style[t] = this.style[t]);
    return e;
  }
  toMarkup() {
    var e = "<img  src='" + this.src + " 'alt='" + this.alt + "' ", t = "";
    for (var a in this.style)
      this.style.hasOwnProperty(a) && (t += I.hyphenate(a) + ":" + this.style[a] + ";");
    return t && (e += ' style="' + I.escape(t) + '"'), e += "'/>", e;
  }
}
var $a = {
  î: "ı̂",
  ï: "ı̈",
  í: "ı́",
  // 'ī': '\u0131\u0304', // enable when we add Extended Latin
  ì: "ı̀"
};
class f0 {
  constructor(e, t, a, n, s, o, h, c) {
    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 = a || 0, this.italic = n || 0, this.skew = s || 0, this.width = o || 0, this.classes = h || [], this.style = c || {}, this.maxFontSize = 0;
    var p = Ca(this.text.charCodeAt(0));
    p && this.classes.push(p + "_fallback"), /[îïíì]/.test(this.text) && (this.text = $a[this.text]);
  }
  hasClass(e) {
    return I.contains(this.classes, e);
  }
  /**
   * Creates a text node or span from a symbol node. Note that a span is only
   * created if it is needed.
   */
  toNode() {
    var e = document.createTextNode(this.text), t = null;
    this.italic > 0 && (t = document.createElement("span"), t.style.marginRight = A(this.italic)), this.classes.length > 0 && (t = t || document.createElement("span"), t.className = L0(this.classes));
    for (var a in this.style)
      this.style.hasOwnProperty(a) && (t = t || document.createElement("span"), t.style[a] = this.style[a]);
    return t ? (t.appendChild(e), t) : e;
  }
  /**
   * Creates markup for a symbol node.
   */
  toMarkup() {
    var e = !1, t = "<span";
    this.classes.length && (e = !0, t += ' class="', t += I.escape(L0(this.classes)), t += '"');
    var a = "";
    this.italic > 0 && (a += "margin-right:" + this.italic + "em;");
    for (var n in this.style)
      this.style.hasOwnProperty(n) && (a += I.hyphenate(n) + ":" + this.style[n] + ";");
    a && (e = !0, t += ' style="' + I.escape(a) + '"');
    var s = I.escape(this.text);
    return e ? (t += ">", t += s, t += "</span>", t) : s;
  }
}
class D0 {
  constructor(e, t) {
    this.children = void 0, this.attributes = void 0, this.children = e || [], this.attributes = t || {};
  }
  toNode() {
    var e = "http://www.w3.org/2000/svg", t = document.createElementNS(e, "svg");
    for (var a in this.attributes)
      Object.prototype.hasOwnProperty.call(this.attributes, a) && t.setAttribute(a, this.attributes[a]);
    for (var n = 0; n < this.children.length; n++)
      t.appendChild(this.children[n].toNode());
    return t;
  }
  toMarkup() {
    var e = '<svg xmlns="http://www.w3.org/2000/svg"';
    for (var t in this.attributes)
      Object.prototype.hasOwnProperty.call(this.attributes, t) && (e += " " + t + "='" + this.attributes[t] + "'");
    e += ">";
    for (var a = 0; a < this.children.length; a++)
      e += this.children[a].toMarkup();
    return e += "</svg>", e;
  }
}
class P0 {
  constructor(e, t) {
    this.pathName = void 0, this.alternate = void 0, this.pathName = e, this.alternate = t;
  }
  toNode() {
    var e = "http://www.w3.org/2000/svg", t = document.createElementNS(e, "path");
    return this.alternate ? t.setAttribute("d", this.alternate) : t.setAttribute("d", It[this.pathName]), t;
  }
  toMarkup() {
    return this.alternate ? "<path d='" + this.alternate + "'/>" : "<path d='" + It[this.pathName] + "'/>";
  }
}
class it {
  constructor(e) {
    this.attributes = void 0, this.attributes = e || {};
  }
  toNode() {
    var e = "http://www.w3.org/2000/svg", t = document.createElementNS(e, "line");
    for (var a in this.attributes)
      Object.prototype.hasOwnProperty.call(this.attributes, a) && t.setAttribute(a, this.attributes[a]);
    return t;
  }
  toMarkup() {
    var e = "<line";
    for (var t in this.attributes)
      Object.prototype.hasOwnProperty.call(this.attributes, t) && (e += " " + t + "='" + this.attributes[t] + "'");
    return e += "/>", e;
  }
}
function Lt(r) {
  if (r instanceof f0)
    return r;
  throw new Error("Expected symbolNode but got " + String(r) + ".");
}
function Wa(r) {
  if (r instanceof me)
    return r;
  throw new Error("Expected span<HtmlDomNode> but got " + String(r) + ".");
}
var ja = {
  bin: 1,
  close: 1,
  inner: 1,
  open: 1,
  punct: 1,
  rel: 1
}, Za = {
  "accent-token": 1,
  mathord: 1,
  "op-token": 1,
  spacing: 1,
  textord: 1
}, $ = {
  math: {},
  text: {}
};
function i(r, e, t, a, n, s) {
  $[r][n] = {
    font: e,
    group: t,
    replace: a
  }, s && a && ($[r][a] = $[r][n]);
}
var l = "math", k = "text", u = "main", d = "ams", W = "accent-token", D = "bin", i0 = "close", te = "inner", q = "mathord", _ = "op-token", h0 = "open", Re = "punct", f = "rel", q0 = "spacing", v = "textord";
i(l, u, f, "≡", "\\equiv", !0);
i(l, u, f, "≺", "\\prec", !0);
i(l, u, f, "≻", "\\succ", !0);
i(l, u, f, "∼", "\\sim", !0);
i(l, u, f, "⊥", "\\perp");
i(l, u, f, "⪯", "\\preceq", !0);
i(l, u, f, "⪰", "\\succeq", !0);
i(l, u, f, "≃", "\\simeq", !0);
i(l, u, f, "∣", "\\mid", !0);
i(l, u, f, "≪", "\\ll", !0);
i(l, u, f, "≫", "\\gg", !0);
i(l, u, f, "≍", "\\asymp", !0);
i(l, u, f, "∥", "\\parallel");
i(l, u, f, "⋈", "\\bowtie", !0);
i(l, u, f, "⌣", "\\smile", !0);
i(l, u, f, "⊑", "\\sqsubseteq", !0);
i(l, u, f, "⊒", "\\sqsupseteq", !0);
i(l, u, f, "≐", "\\doteq", !0);
i(l, u, f, "⌢", "\\frown", !0);
i(l, u, f, "∋", "\\ni", !0);
i(l, u, f, "∝", "\\propto", !0);
i(l, u, f, "⊢", "\\vdash", !0);
i(l, u, f, "⊣", "\\dashv", !0);
i(l, u, f, "∋", "\\owns");
i(l, u, Re, ".", "\\ldotp");
i(l, u, Re, "⋅", "\\cdotp");
i(l, u, v, "#", "\\#");
i(k, u, v, "#", "\\#");
i(l, u, v, "&", "\\&");
i(k, u, v, "&", "\\&");
i(l, u, v, "ℵ", "\\aleph", !0);
i(l, u, v, "∀", "\\forall", !0);
i(l, u, v, "ℏ", "\\hbar", !0);
i(l, u, v, "∃", "\\exists", !0);
i(l, u, v, "∇", "\\nabla", !0);
i(l, u, v, "♭", "\\flat", !0);
i(l, u, v, "ℓ", "\\ell", !0);
i(l, u, v, "♮", "\\natural", !0);
i(l, u, v, "♣", "\\clubsuit", !0);
i(l, u, v, "℘", "\\wp", !0);
i(l, u, v, "♯", "\\sharp", !0);
i(l, u, v, "♢", "\\diamondsuit", !0);
i(l, u, v, "ℜ", "\\Re", !0);
i(l, u, v, "♡", "\\heartsuit", !0);
i(l, u, v, "ℑ", "\\Im", !0);
i(l, u, v, "♠", "\\spadesuit", !0);
i(l, u, v, "§", "\\S", !0);
i(k, u, v, "§", "\\S");
i(l, u, v, "¶", "\\P", !0);
i(k, u, v, "¶", "\\P");
i(l, u, v, "†", "\\dag");
i(k, u, v, "†", "\\dag");
i(k, u, v, "†", "\\textdagger");
i(l, u, v, "‡", "\\ddag");
i(k, u, v, "‡", "\\ddag");
i(k, u, v, "‡", "\\textdaggerdbl");
i(l, u, i0, "⎱", "\\rmoustache", !0);
i(l, u, h0, "⎰", "\\lmoustache", !0);
i(l, u, i0, "⟯", "\\rgroup", !0);
i(l, u, h0, "⟮", "\\lgroup", !0);
i(l, u, D, "∓", "\\mp", !0);
i(l, u, D, "⊖", "\\ominus", !0);
i(l, u, D, "⊎", "\\uplus", !0);
i(l, u, D, "⊓", "\\sqcap", !0);
i(l, u, D, "∗", "\\ast");
i(l, u, D, "⊔", "\\sqcup", !0);
i(l, u, D, "◯", "\\bigcirc", !0);
i(l, u, D, "∙", "\\bullet", !0);
i(l, u, D, "‡", "\\ddagger");
i(l, u, D, "≀", "\\wr", !0);
i(l, u, D, "⨿", "\\amalg");
i(l, u, D, "&", "\\And");
i(l, u, f, "⟵", "\\longleftarrow", !0);
i(l, u, f, "⇐", "\\Leftarrow", !0);
i(l, u, f, "⟸", "\\Longleftarrow", !0);
i(l, u, f, "⟶", "\\longrightarrow", !0);
i(l, u, f, "⇒", "\\Rightarrow", !0);
i(l, u, f, "⟹", "\\Longrightarrow", !0);
i(l, u, f, "↔", "\\leftrightarrow", !0);
i(l, u, f, "⟷", "\\longleftrightarrow", !0);
i(l, u, f, "⇔", "\\Leftrightarrow", !0);
i(l, u, f, "⟺", "\\Longleftrightarrow", !0);
i(l, u, f, "↦", "\\mapsto", !0);
i(l, u, f, "⟼", "\\longmapsto", !0);
i(l, u, f, "↗", "\\nearrow", !0);
i(l, u, f, "↩", "\\hookleftarrow", !0);
i(l, u, f, "↪", "\\hookrightarrow", !0);
i(l, u, f, "↘", "\\searrow", !0);
i(l, u, f, "↼", "\\leftharpoonup", !0);
i(l, u, f, "⇀", "\\rightharpoonup", !0);
i(l, u, f, "↙", "\\swarrow", !0);
i(l, u, f, "↽", "\\leftharpoondown", !0);
i(l, u, f, "⇁", "\\rightharpoondown", !0);
i(l, u, f, "↖", "\\nwarrow", !0);
i(l, u, f, "⇌", "\\rightleftharpoons", !0);
i(l, d, f, "≮", "\\nless", !0);
i(l, d, f, "", "\\@nleqslant");
i(l, d, f, "", "\\@nleqq");
i(l, d, f, "⪇", "\\lneq", !0);
i(l, d, f, "≨", "\\lneqq", !0);
i(l, d, f, "", "\\@lvertneqq");
i(l, d, f, "⋦", "\\lnsim", !0);
i(l, d, f, "⪉", "\\lnapprox", !0);
i(l, d, f, "⊀", "\\nprec", !0);
i(l, d, f, "⋠", "\\npreceq", !0);
i(l, d, f, "⋨", "\\precnsim", !0);
i(l, d, f, "⪹", "\\precnapprox", !0);
i(l, d, f, "≁", "\\nsim", !0);
i(l, d, f, "", "\\@nshortmid");
i(l, d, f, "∤", "\\nmid", !0);
i(l, d, f, "⊬", "\\nvdash", !0);
i(l, d, f, "⊭", "\\nvDash", !0);
i(l, d, f, "⋪", "\\ntriangleleft");
i(l, d, f, "⋬", "\\ntrianglelefteq", !0);
i(l, d, f, "⊊", "\\subsetneq", !0);
i(l, d, f, "", "\\@varsubsetneq");
i(l, d, f, "⫋", "\\subsetneqq", !0);
i(l, d, f, "", "\\@varsubsetneqq");
i(l, d, f, "≯", "\\ngtr", !0);
i(l, d, f, "", "\\@ngeqslant");
i(l, d, f, "", "\\@ngeqq");
i(l, d, f, "⪈", "\\gneq", !0);
i(l, d, f, "≩", "\\gneqq", !0);
i(l, d, f, "", "\\@gvertneqq");
i(l, d, f, "⋧", "\\gnsim", !0);
i(l, d, f, "⪊", "\\gnapprox", !0);
i(l, d, f, "⊁", "\\nsucc", !0);
i(l, d, f, "⋡", "\\nsucceq", !0);
i(l, d, f, "⋩", "\\succnsim", !0);
i(l, d, f, "⪺", "\\succnapprox", !0);
i(l, d, f, "≆", "\\ncong", !0);
i(l, d, f, "", "\\@nshortparallel");
i(l, d, f, "∦", "\\nparallel", !0);
i(l, d, f, "⊯", "\\nVDash", !0);
i(l, d, f, "⋫", "\\ntriangleright");
i(l, d, f, "⋭", "\\ntrianglerighteq", !0);
i(l, d, f, "", "\\@nsupseteqq");
i(l, d, f, "⊋", "\\supsetneq", !0);
i(l, d, f, "", "\\@varsupsetneq");
i(l, d, f, "⫌", "\\supsetneqq", !0);
i(l, d, f, "", "\\@varsupsetneqq");
i(l, d, f, "⊮", "\\nVdash", !0);
i(l, d, f, "⪵", "\\precneqq", !0);
i(l, d, f, "⪶", "\\succneqq", !0);
i(l, d, f, "", "\\@nsubseteqq");
i(l, d, D, "⊴", "\\unlhd");
i(l, d, D, "⊵", "\\unrhd");
i(l, d, f, "↚", "\\nleftarrow", !0);
i(l, d, f, "↛", "\\nrightarrow", !0);
i(l, d, f, "⇍", "\\nLeftarrow", !0);
i(l, d, f, "⇏", "\\nRightarrow", !0);
i(l, d, f, "↮", "\\nleftrightarrow", !0);
i(l, d, f, "⇎", "\\nLeftrightarrow", !0);
i(l, d, f, "△", "\\vartriangle");
i(l, d, v, "ℏ", "\\hslash");
i(l, d, v, "▽", "\\triangledown");
i(l, d, v, "◊", "\\lozenge");
i(l, d, v, "Ⓢ", "\\circledS");
i(l, d, v, "®", "\\circledR");
i(k, d, v, "®", "\\circledR");
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i(k, u, v, "’", "\\textquoteright");
i(k, u, v, "“", "``", !0);
i(k, u, v, "“", "\\textquotedblleft");
i(k, u, v, "”", "''", !0);
i(k, u, v, "”", "\\textquotedblright");
i(l, u, v, "°", "\\degree", !0);
i(k, u, v, "°", "\\degree");
i(k, u, v, "°", "\\textdegree", !0);
i(l, u, v, "£", "\\pounds");
i(l, u, v, "£", "\\mathsterling", !0);
i(k, u, v, "£", "\\pounds");
i(k, u, v, "£", "\\textsterling", !0);
i(l, d, v, "✠", "\\maltese");
i(k, d, v, "✠", "\\maltese");
var Pt = '0123456789/@."';
for (var Ye = 0; Ye < Pt.length; Ye++) {
  var Gt = Pt.charAt(Ye);
  i(l, u, v, Gt, Gt);
}
var Vt = '0123456789!@*()-=+";:?/.,';
for (var Xe = 0; Xe < Vt.length; Xe++) {
  var Ut = Vt.charAt(Xe);
  i(k, u, v, Ut, Ut);
}
var De = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz";
for (var $e = 0; $e < De.length; $e++) {
  var be = De.charAt($e);
  i(l, u, q, be, be), i(k, u, v, be, be);
}
i(l, d, v, "C", "ℂ");
i(k, d, v, "C", "ℂ");
i(l, d, v, "H", "ℍ");
i(k, d, v, "H", "ℍ");
i(l, d, v, "N", "ℕ");
i(k, d, v, "N", "ℕ");
i(l, d, v, "P", "ℙ");
i(k, d, v, "P", "ℙ");
i(l, d, v, "Q", "ℚ");
i(k, d, v, "Q", "ℚ");
i(l, d, v, "R", "ℝ");
i(k, d, v, "R", "ℝ");
i(l, d, v, "Z", "ℤ");
i(k, d, v, "Z", "ℤ");
i(l, u, q, "h", "ℎ");
i(k, u, q, "h", "ℎ");
var E = "";
for (var a0 = 0; a0 < De.length; a0++) {
  var J = De.charAt(a0);
  E = String.fromCharCode(55349, 56320 + a0), i(l, u, q, J, E), i(k, u, v, J, E), E = String.fromCharCode(55349, 56372 + a0), i(l, u, q, J, E), i(k, u, v, J, E), E = String.fromCharCode(55349, 56424 + a0), i(l, u, q, J, E), i(k, u, v, J, E), E = String.fromCharCode(55349, 56580 + a0), i(l, u, q, J, E), i(k, u, v, J, E), E = String.fromCharCode(55349, 56684 + a0), i(l, u, q, J, E), i(k, u, v, J, E), E = String.fromCharCode(55349, 56736 + a0), i(l, u, q, J, E), i(k, u, v, J, E), E = String.fromCharCode(55349, 56788 + a0), i(l, u, q, J, E), i(k, u, v, J, E), E = String.fromCharCode(55349, 56840 + a0), i(l, u, q, J, E), i(k, u, v, J, E), E = String.fromCharCode(55349, 56944 + a0), i(l, u, q, J, E), i(k, u, v, J, E), a0 < 26 && (E = String.fromCharCode(55349, 56632 + a0), i(l, u, q, J, E), i(k, u, v, J, E), E = String.fromCharCode(55349, 56476 + a0), i(l, u, q, J, E), i(k, u, v, J, E));
}
E = String.fromCharCode(55349, 56668);
i(l, u, q, "k", E);
i(k, u, v, "k", E);
for (var Y0 = 0; Y0 < 10; Y0++) {
  var H0 = Y0.toString();
  E = String.fromCharCode(55349, 57294 + Y0), i(l, u, q, H0, E), i(k, u, v, H0, E), E = String.fromCharCode(55349, 57314 + Y0), i(l, u, q, H0, E), i(k, u, v, H0, E), E = String.fromCharCode(55349, 57324 + Y0), i(l, u, q, H0, E), i(k, u, v, H0, E), E = String.fromCharCode(55349, 57334 + Y0), i(l, u, q, H0, E), i(k, u, v, H0, E);
}
var st = "ÐÞþ";
for (var We = 0; We < st.length; We++) {
  var ye = st.charAt(We);
  i(l, u, q, ye, ye), i(k, u, v, ye, ye);
}
var xe = [
  ["mathbf", "textbf", "Main-Bold"],
  // A-Z bold upright
  ["mathbf", "textbf", "Main-Bold"],
  // a-z bold upright
  ["mathnormal", "textit", "Math-Italic"],
  // A-Z italic
  ["mathnormal", "textit", "Math-Italic"],
  // a-z italic
  ["boldsymbol", "boldsymbol", "Main-BoldItalic"],
  // A-Z bold italic
  ["boldsymbol", "boldsymbol", "Main-BoldItalic"],
  // a-z bold italic
  // Map fancy A-Z letters to script, not calligraphic.
  // This aligns with unicode-math and math fonts (except Cambria Math).
  ["mathscr", "textscr", "Script-Regular"],
  // A-Z script
  ["", "", ""],
  // a-z script.  No font
  ["", "", ""],
  // A-Z bold script. No font
  ["", "", ""],
  // a-z bold script. No font
  ["mathfrak", "textfrak", "Fraktur-Regular"],
  // A-Z Fraktur
  ["mathfrak", "textfrak", "Fraktur-Regular"],
  // a-z Fraktur
  ["mathbb", "textbb", "AMS-Regular"],
  // A-Z double-struck
  ["mathbb", "textbb", "AMS-Regular"],
  // k double-struck
  // Note that we are using a bold font, but font metrics for regular Fraktur.
  ["mathboldfrak", "textboldfrak", "Fraktur-Regular"],
  // A-Z bold Fraktur
  ["mathboldfrak", "textboldfrak", "Fraktur-Regular"],
  // a-z bold Fraktur
  ["mathsf", "textsf", "SansSerif-Regular"],
  // A-Z sans-serif
  ["mathsf", "textsf", "SansSerif-Regular"],
  // a-z sans-serif
  ["mathboldsf", "textboldsf", "SansSerif-Bold"],
  // A-Z bold sans-serif
  ["mathboldsf", "textboldsf", "SansSerif-Bold"],
  // a-z bold sans-serif
  ["mathitsf", "textitsf", "SansSerif-Italic"],
  // A-Z italic sans-serif
  ["mathitsf", "textitsf", "SansSerif-Italic"],
  // a-z italic sans-serif
  ["", "", ""],
  // A-Z bold italic sans. No font
  ["", "", ""],
  // a-z bold italic sans. No font
  ["mathtt", "texttt", "Typewriter-Regular"],
  // A-Z monospace
  ["mathtt", "texttt", "Typewriter-Regular"]
  // a-z monospace
], Yt = [
  ["mathbf", "textbf", "Main-Bold"],
  // 0-9 bold
  ["", "", ""],
  // 0-9 double-struck. No KaTeX font.
  ["mathsf", "textsf", "SansSerif-Regular"],
  // 0-9 sans-serif
  ["mathboldsf", "textboldsf", "SansSerif-Bold"],
  // 0-9 bold sans-serif
  ["mathtt", "texttt", "Typewriter-Regular"]
  // 0-9 monospace
], Ka = function(e, t) {
  var a = e.charCodeAt(0), n = e.charCodeAt(1), s = (a - 55296) * 1024 + (n - 56320) + 65536, o = t === "math" ? 0 : 1;
  if (119808 <= s && s < 120484) {
    var h = Math.floor((s - 119808) / 26);
    return [xe[h][2], xe[h][o]];
  } else if (120782 <= s && s <= 120831) {
    var c = Math.floor((s - 120782) / 10);
    return [Yt[c][2], Yt[c][o]];
  } else {
    if (s === 120485 || s === 120486)
      return [xe[0][2], xe[0][o]];
    if (120486 < s && s < 120782)
      return ["", ""];
    throw new M("Unsupported character: " + e);
  }
}, Ee = function(e, t, a) {
  return $[a][e] && $[a][e].replace && (e = $[a][e].replace), {
    value: e,
    metrics: ft(e, t, a)
  };
}, g0 = function(e, t, a, n, s) {
  var o = Ee(e, t, a), h = o.metrics;
  e = o.value;
  var c;
  if (h) {
    var p = h.italic;
    (a === "text" || n && n.font === "mathit") && (p = 0), c = new f0(e, h.height, h.depth, p, h.skew, h.width, s);
  } else
    typeof console < "u" && console.warn("No character metrics " + ("for '" + e + "' in style '" + t + "' and mode '" + a + "'")), c = new f0(e, 0, 0, 0, 0, 0, s);
  if (n) {
    c.maxFontSize = n.sizeMultiplier, n.style.isTight() && c.classes.push("mtight");
    var g = n.getColor();
    g && (c.style.color = g);
  }
  return c;
}, Ja = function(e, t, a, n) {
  return n === void 0 && (n = []), a.font === "boldsymbol" && Ee(e, "Main-Bold", t).metrics ? g0(e, "Main-Bold", t, a, n.concat(["mathbf"])) : e === "\\" || $[t][e].font === "main" ? g0(e, "Main-Regular", t, a, n) : g0(e, "AMS-Regular", t, a, n.concat(["amsrm"]));
}, Qa = function(e, t, a, n, s) {
  return s !== "textord" && Ee(e, "Math-BoldItalic", t).metrics ? {
    fontName: "Math-BoldItalic",
    fontClass: "boldsymbol"
  } : {
    fontName: "Main-Bold",
    fontClass: "mathbf"
  };
}, _a = function(e, t, a) {
  var n = e.mode, s = e.text, o = ["mord"], h = n === "math" || n === "text" && t.font, c = h ? t.font : t.fontFamily, p = "", g = "";
  if (s.charCodeAt(0) === 55349 && ([p, g] = Ka(s, n)), p.length > 0)
    return g0(s, p, n, t, o.concat(g));
  if (c) {
    var y, w;
    if (c === "boldsymbol") {
      var x = Qa(s, n, t, o, a);
      y = x.fontName, w = [x.fontClass];
    } else
      h ? (y = Mr[c].fontName, w = [c]) : (y = we(c, t.fontWeight, t.fontShape), w = [c, t.fontWeight, t.fontShape]);
    if (Ee(s, y, n).metrics)
      return g0(s, y, n, t, o.concat(w));
    if (wr.hasOwnProperty(s) && y.slice(0, 10) === "Typewriter") {
      for (var z = [], T = 0; T < s.length; T++)
        z.push(g0(s[T], y, n, t, o.concat(w)));
      return Sr(z);
    }
  }
  if (a === "mathord")
    return g0(s, "Math-Italic", n, t, o.concat(["mathnormal"]));
  if (a === "textord") {
    var C = $[n][s] && $[n][s].font;
    if (C === "ams") {
      var N = we("amsrm", t.fontWeight, t.fontShape);
      return g0(s, N, n, t, o.concat("amsrm", t.fontWeight, t.fontShape));
    } else if (C === "main" || !C) {
      var O = we("textrm", t.fontWeight, t.fontShape);
      return g0(s, O, n, t, o.concat(t.fontWeight, t.fontShape));
    } else {
      var H = we(C, t.fontWeight, t.fontShape);
      return g0(s, H, n, t, o.concat(H, t.fontWeight, t.fontShape));
    }
  } else
    throw new Error("unexpected type: " + a + " in makeOrd");
}, e1 = (r, e) => {
  if (L0(r.classes) !== L0(e.classes) || r.skew !== e.skew || r.maxFontSize !== e.maxFontSize)
    return !1;
  if (r.classes.length === 1) {
    var t = r.classes[0];
    if (t === "mbin" || t === "mord")
      return !1;
  }
  for (var a in r.style)
    if (r.style.hasOwnProperty(a) && r.style[a] !== e.style[a])
      return !1;
  for (var n in e.style)
    if (e.style.hasOwnProperty(n) && r.style[n] !== e.style[n])
      return !1;
  return !0;
}, t1 = (r) => {
  for (var e = 0; e < r.length - 1; e++) {
    var t = r[e], a = r[e + 1];
    t instanceof f0 && a instanceof f0 && e1(t, a) && (t.text += a.text, t.height = Math.max(t.height, a.height), t.depth = Math.max(t.depth, a.depth), t.italic = a.italic, r.splice(e + 1, 1), e--);
  }
  return r;
}, vt = function(e) {
  for (var t = 0, a = 0, n = 0, s = 0; s < e.children.length; s++) {
    var o = e.children[s];
    o.height > t && (t = o.height), o.depth > a && (a = o.depth), o.maxFontSize > n && (n = o.maxFontSize);
  }
  e.height = t, e.depth = a, e.maxFontSize = n;
}, l0 = function(e, t, a, n) {
  var s = new me(e, t, a, n);
  return vt(s), s;
}, kr = (r, e, t, a) => new me(r, e, t, a), r1 = function(e, t, a) {
  var n = l0([e], [], t);
  return n.height = Math.max(a || t.fontMetrics().defaultRuleThickness, t.minRuleThickness), n.style.borderBottomWidth = A(n.height), n.maxFontSize = 1, n;
}, a1 = function(e, t, a, n) {
  var s = new pt(e, t, a, n);
  return vt(s), s;
}, Sr = function(e) {
  var t = new he(e);
  return vt(t), t;
}, n1 = function(e, t) {
  return e instanceof he ? l0([], [e], t) : e;
}, i1 = function(e) {
  if (e.positionType === "individualShift") {
    for (var t = e.children, a = [t[0]], n = -t[0].shift - t[0].elem.depth, s = n, o = 1; o < t.length; o++) {
      var h = -t[o].shift - s - t[o].elem.depth, c = h - (t[o - 1].elem.height + t[o - 1].elem.depth);
      s = s + h, a.push({
        type: "kern",
        size: c
      }), a.push(t[o]);
    }
    return {
      children: a,
      depth: n
    };
  }
  var p;
  if (e.positionType === "top") {
    for (var g = e.positionData, y = 0; y < e.children.length; y++) {
      var w = e.children[y];
      g -= w.type === "kern" ? w.size : w.elem.height + w.elem.depth;
    }
    p = g;
  } else if (e.positionType === "bottom")
    p = -e.positionData;
  else {
    var x = e.children[0];
    if (x.type !== "elem")
      throw new Error('First child must have type "elem".');
    if (e.positionType === "shift")
      p = -x.elem.depth - e.positionData;
    else if (e.positionType === "firstBaseline")
      p = -x.elem.depth;
    else
      throw new Error("Invalid positionType " + e.positionType + ".");
  }
  return {
    children: e.children,
    depth: p
  };
}, s1 = function(e, t) {
  for (var {
    children: a,
    depth: n
  } = i1(e), s = 0, o = 0; o < a.length; o++) {
    var h = a[o];
    if (h.type === "elem") {
      var c = h.elem;
      s = Math.max(s, c.maxFontSize, c.height);
    }
  }
  s += 2;
  var p = l0(["pstrut"], []);
  p.style.height = A(s);
  for (var g = [], y = n, w = n, x = n, z = 0; z < a.length; z++) {
    var T = a[z];
    if (T.type === "kern")
      x += T.size;
    else {
      var C = T.elem, N = T.wrapperClasses || [], O = T.wrapperStyle || {}, H = l0(N, [p, C], void 0, O);
      H.style.top = A(-s - x - C.depth), T.marginLeft && (H.style.marginLeft = T.marginLeft), T.marginRight && (H.style.marginRight = T.marginRight), g.push(H), x += C.height + C.depth;
    }
    y = Math.min(y, x), w = Math.max(w, x);
  }
  var V = l0(["vlist"], g);
  V.style.height = A(w);
  var L;
  if (y < 0) {
    var U = l0([], []), G = l0(["vlist"], [U]);
    G.style.height = A(-y);
    var j = l0(["vlist-s"], [new f0("​")]);
    L = [l0(["vlist-r"], [V, j]), l0(["vlist-r"], [G])];
  } else
    L = [l0(["vlist-r"], [V])];
  var Y = l0(["vlist-t"], L);
  return L.length === 2 && Y.classes.push("vlist-t2"), Y.height = w, Y.depth = -y, Y;
}, l1 = (r, e) => {
  var t = l0(["mspace"], [], e), a = K(r, e);
  return t.style.marginRight = A(a), t;
}, we = function(e, t, a) {
  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;
  }
  var s;
  return t === "textbf" && a === "textit" ? s = "BoldItalic" : t === "textbf" ? s = "Bold" : t === "textit" ? s = "Italic" : s = "Regular", n + "-" + s;
}, Mr = {
  // styles
  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"
  },
  // "boldsymbol" is missing because they require the use of multiple fonts:
  // Math-BoldItalic and Main-Bold.  This is handled by a special case in
  // makeOrd which ends up calling boldsymbol.
  // families
  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"
  }
}, zr = {
  //   path, width, height
  vec: ["vec", 0.471, 0.714],
  // values from the font glyph
  oiintSize1: ["oiintSize1", 0.957, 0.499],
  // oval to overlay the integrand
  oiintSize2: ["oiintSize2", 1.472, 0.659],
  oiiintSize1: ["oiiintSize1", 1.304, 0.499],
  oiiintSize2: ["oiiintSize2", 1.98, 0.659]
}, o1 = function(e, t) {
  var [a, n, s] = zr[e], o = new P0(a), h = new D0([o], {
    width: A(n),
    height: A(s),
    // Override CSS rule `.katex svg { width: 100% }`
    style: "width:" + A(n),
    viewBox: "0 0 " + 1e3 * n + " " + 1e3 * s,
    preserveAspectRatio: "xMinYMin"
  }), c = kr(["overlay"], [h], t);
  return c.height = s, c.style.height = A(s), c.style.width = A(n), c;
}, b = {
  fontMap: Mr,
  makeSymbol: g0,
  mathsym: Ja,
  makeSpan: l0,
  makeSvgSpan: kr,
  makeLineSpan: r1,
  makeAnchor: a1,
  makeFragment: Sr,
  wrapFragment: n1,
  makeVList: s1,
  makeOrd: _a,
  makeGlue: l1,
  staticSvg: o1,
  svgData: zr,
  tryCombineChars: t1
}, Z = {
  number: 3,
  unit: "mu"
}, X0 = {
  number: 4,
  unit: "mu"
}, z0 = {
  number: 5,
  unit: "mu"
}, u1 = {
  mord: {
    mop: Z,
    mbin: X0,
    mrel: z0,
    minner: Z
  },
  mop: {
    mord: Z,
    mop: Z,
    mrel: z0,
    minner: Z
  },
  mbin: {
    mord: X0,
    mop: X0,
    mopen: X0,
    minner: X0
  },
  mrel: {
    mord: z0,
    mop: z0,
    mopen: z0,
    minner: z0
  },
  mopen: {},
  mclose: {
    mop: Z,
    mbin: X0,
    mrel: z0,
    minner: Z
  },
  mpunct: {
    mord: Z,
    mop: Z,
    mrel: z0,
    mopen: Z,
    mclose: Z,
    mpunct: Z,
    minner: Z
  },
  minner: {
    mord: Z,
    mop: Z,
    mbin: X0,
    mrel: z0,
    mopen: Z,
    mpunct: Z,
    minner: Z
  }
}, h1 = {
  mord: {
    mop: Z
  },
  mop: {
    mord: Z,
    mop: Z
  },
  mbin: {},
  mrel: {},
  mopen: {},
  mclose: {
    mop: Z
  },
  mpunct: {},
  minner: {
    mop: Z
  }
}, Ar = {}, Ce = {}, Ne = {};
function B(r) {
  for (var {
    type: e,
    names: t,
    props: a,
    handler: n,
    htmlBuilder: s,
    mathmlBuilder: o
  } = r, h = {
    type: e,
    numArgs: a.numArgs,
    argTypes: a.argTypes,
    allowedInArgument: !!a.allowedInArgument,
    allowedInText: !!a.allowedInText,
    allowedInMath: a.allowedInMath === void 0 ? !0 : a.allowedInMath,
    numOptionalArgs: a.numOptionalArgs || 0,
    infix: !!a.infix,
    primitive: !!a.primitive,
    handler: n
  }, c = 0; c < t.length; ++c)
    Ar[t[c]] = h;
  e && (s && (Ce[e] = s), o && (Ne[e] = o));
}
function $0(r) {
  var {
    type: e,
    htmlBuilder: t,
    mathmlBuilder: a
  } = r;
  B({
    type: e,
    names: [],
    props: {
      numArgs: 0
    },
    handler() {
      throw new Error("Should never be called.");
    },
    htmlBuilder: t,
    mathmlBuilder: a
  });
}
var qe = function(e) {
  return e.type === "ordgroup" && e.body.length === 1 ? e.body[0] : e;
}, Q = function(e) {
  return e.type === "ordgroup" ? e.body : [e];
}, C0 = b.makeSpan, m1 = ["leftmost", "mbin", "mopen", "mrel", "mop", "mpunct"], c1 = ["rightmost", "mrel", "mclose", "mpunct"], d1 = {
  display: R.DISPLAY,
  text: R.TEXT,
  script: R.SCRIPT,
  scriptscript: R.SCRIPTSCRIPT
}, f1 = {
  mord: "mord",
  mop: "mop",
  mbin: "mbin",
  mrel: "mrel",
  mopen: "mopen",
  mclose: "mclose",
  mpunct: "mpunct",
  minner: "minner"
}, t0 = function(e, t, a, n) {
  n === void 0 && (n = [null, null]);
  for (var s = [], o = 0; o < e.length; o++) {
    var h = P(e[o], t);
    if (h instanceof he) {
      var c = h.children;
      s.push(...c);
    } else
      s.push(h);
  }
  if (b.tryCombineChars(s), !a)
    return s;
  var p = t;
  if (e.length === 1) {
    var g = e[0];
    g.type === "sizing" ? p = t.havingSize(g.size) : g.type === "styling" && (p = t.havingStyle(d1[g.style]));
  }
  var y = C0([n[0] || "leftmost"], [], t), w = C0([n[1] || "rightmost"], [], t), x = a === "root";
  return Xt(s, (z, T) => {
    var C = T.classes[0], N = z.classes[0];
    C === "mbin" && I.contains(c1, N) ? T.classes[0] = "mord" : N === "mbin" && I.contains(m1, C) && (z.classes[0] = "mord");
  }, {
    node: y
  }, w, x), Xt(s, (z, T) => {
    var C = lt(T), N = lt(z), O = C && N ? z.hasClass("mtight") ? h1[C][N] : u1[C][N] : null;
    if (O)
      return b.makeGlue(O, p);
  }, {
    node: y
  }, w, x), s;
}, Xt = function r(e, t, a, n, s) {
  n && e.push(n);
  for (var o = 0; o < e.length; o++) {
    var h = e[o], c = Tr(h);
    if (c) {
      r(c.children, t, a, null, s);
      continue;
    }
    var p = !h.hasClass("mspace");
    if (p) {
      var g = t(h, a.node);
      g && (a.insertAfter ? a.insertAfter(g) : (e.unshift(g), o++));
    }
    p ? a.node = h : s && h.hasClass("newline") && (a.node = C0(["leftmost"])), a.insertAfter = ((y) => (w) => {
      e.splice(y + 1, 0, w), o++;
    })(o);
  }
  n && e.pop();
}, Tr = function(e) {
  return e instanceof he || e instanceof pt || e instanceof me && e.hasClass("enclosing") ? e : null;
}, p1 = function r(e, t) {
  var a = Tr(e);
  if (a) {
    var n = a.children;
    if (n.length) {
      if (t === "right")
        return r(n[n.length - 1], "right");
      if (t === "left")
        return r(n[0], "left");
    }
  }
  return e;
}, lt = function(e, t) {
  return e ? (t && (e = p1(e, t)), f1[e.classes[0]] || null) : null;
}, oe = function(e, t) {
  var a = ["nulldelimiter"].concat(e.baseSizingClasses());
  return C0(t.concat(a));
}, P = function(e, t, a) {
  if (!e)
    return C0();
  if (Ce[e.type]) {
    var n = Ce[e.type](e, t);
    if (a && t.size !== a.size) {
      n = C0(t.sizingClasses(a), [n], t);
      var s = t.sizeMultiplier / a.sizeMultiplier;
      n.height *= s, n.depth *= s;
    }
    return n;
  } else
    throw new M("Got group of unknown type: '" + e.type + "'");
};
function ke(r, e) {
  var t = C0(["base"], r, e), a = C0(["strut"]);
  return a.style.height = A(t.height + t.depth), t.depth && (a.style.verticalAlign = A(-t.depth)), t.children.unshift(a), t;
}
function ot(r, e) {
  var t = null;
  r.length === 1 && r[0].type === "tag" && (t = r[0].tag, r = r[0].body);
  var a = t0(r, e, "root"), n;
  a.length === 2 && a[1].hasClass("tag") && (n = a.pop());
  for (var s = [], o = [], h = 0; h < a.length; h++)
    if (o.push(a[h]), a[h].hasClass("mbin") || a[h].hasClass("mrel") || a[h].hasClass("allowbreak")) {
      for (var c = !1; h < a.length - 1 && a[h + 1].hasClass("mspace") && !a[h + 1].hasClass("newline"); )
        h++, o.push(a[h]), a[h].hasClass("nobreak") && (c = !0);
      c || (s.push(ke(o, e)), o = []);
    } else
      a[h].hasClass("newline") && (o.pop(), o.length > 0 && (s.push(ke(o, e)), o = []), s.push(a[h]));
  o.length > 0 && s.push(ke(o, e));
  var p;
  t ? (p = ke(t0(t, e, !0)), p.classes = ["tag"], s.push(p)) : n && s.push(n);
  var g = C0(["katex-html"], s);
  if (g.setAttribute("aria-hidden", "true"), p) {
    var y = p.children[0];
    y.style.height = A(g.height + g.depth), g.depth && (y.style.verticalAlign = A(-g.depth));
  }
  return g;
}
function Br(r) {
  return new he(r);
}
class c0 {
  constructor(e, t, a) {
    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 = a || [];
  }
  /**
   * Sets an attribute on a MathML node. MathML depends on attributes to convey a
   * semantic content, so this is used heavily.
   */
  setAttribute(e, t) {
    this.attributes[e] = t;
  }
  /**
   * Gets an attribute on a MathML node.
   */
  getAttribute(e) {
    return this.attributes[e];
  }
  /**
   * Converts the math node into a MathML-namespaced DOM element.
   */
  toNode() {
    var e = document.createElementNS("http://www.w3.org/1998/Math/MathML", this.type);
    for (var t in this.attributes)
      Object.prototype.hasOwnProperty.call(this.attributes, t) && e.setAttribute(t, this.attributes[t]);
    this.classes.length > 0 && (e.className = L0(this.classes));
    for (var a = 0; a < this.children.length; a++)
      e.appendChild(this.children[a].toNode());
    return e;
  }
  /**
   * Converts the math node into an HTML markup string.
   */
  toMarkup() {
    var e = "<" + this.type;
    for (var t in this.attributes)
      Object.prototype.hasOwnProperty.call(this.attributes, t) && (e += " " + t + '="', e += I.escape(this.attributes[t]), e += '"');
    this.classes.length > 0 && (e += ' class ="' + I.escape(L0(this.classes)) + '"'), e += ">";
    for (var a = 0; a < this.children.length; a++)
      e += this.children[a].toMarkup();
    return e += "</" + this.type + ">", e;
  }
  /**
   * Converts the math node into a string, similar to innerText, but escaped.
   */
  toText() {
    return this.children.map((e) => e.toText()).join("");
  }
}
class ie {
  constructor(e) {
    this.text = void 0, this.text = e;
  }
  /**
   * Converts the text node into a DOM text node.
   */
  toNode() {
    return document.createTextNode(this.text);
  }
  /**
   * Converts the text node into escaped HTML markup
   * (representing the text itself).
   */
  toMarkup() {
    return I.escape(this.toText());
  }
  /**
   * Converts the text node into a string
   * (representing the text itself).
   */
  toText() {
    return this.text;
  }
}
class v1 {
  /**
   * Create a Space node with width given in CSS ems.
   */
  constructor(e) {
    this.width = void 0, this.character = void 0, this.width = e, e >= 0.05555 && e <= 0.05556 ? this.character = " " : e >= 0.1666 && e <= 0.1667 ? this.character = " " : e >= 0.2222 && e <= 0.2223 ? this.character = " " : e >= 0.2777 && e <= 0.2778 ? this.character = "  " : e >= -0.05556 && e <= -0.05555 ? this.character = " ⁣" : e >= -0.1667 && e <= -0.1666 ? this.character = " ⁣" : e >= -0.2223 && e <= -0.2222 ? this.character = " ⁣" : e >= -0.2778 && e <= -0.2777 ? this.character = " ⁣" : this.character = null;
  }
  /**
   * Converts the math node into a MathML-namespaced DOM element.
   */
  toNode() {
    if (this.character)
      return document.createTextNode(this.character);
    var e = document.createElementNS("http://www.w3.org/1998/Math/MathML", "mspace");
    return e.setAttribute("width", A(this.width)), e;
  }
  /**
   * Converts the math node into an HTML markup string.
   */
  toMarkup() {
    return this.character ? "<mtext>" + this.character + "</mtext>" : '<mspace width="' + A(this.width) + '"/>';
  }
  /**
   * Converts the math node into a string, similar to innerText.
   */
  toText() {
    return this.character ? this.character : " ";
  }
}
var S = {
  MathNode: c0,
  TextNode: ie,
  SpaceNode: v1,
  newDocumentFragment: Br
}, p0 = function(e, t, a) {
  return $[t][e] && $[t][e].replace && e.charCodeAt(0) !== 55349 && !(wr.hasOwnProperty(e) && a && (a.fontFamily && a.fontFamily.slice(4, 6) === "tt" || a.font && a.font.slice(4, 6) === "tt")) && (e = $[t][e].replace), new S.TextNode(e);
}, gt = function(e) {
  return e.length === 1 ? e[0] : new S.MathNode("mrow", e);
}, bt = function(e, t) {
  if (t.fontFamily === "texttt")
    return "monospace";
  if (t.fontFamily === "textsf")
    return t.fontShape === "textit" && t.fontWeight === "textbf" ? "sans-serif-bold-italic" : t.fontShape === "textit" ? "sans-serif-italic" : t.fontWeight === "textbf" ? "bold-sans-serif" : "sans-serif";
  if (t.fontShape === "textit" && t.fontWeight === "textbf")
    return "bold-italic";
  if (t.fontShape === "textit")
    return "italic";
  if (t.fontWeight === "textbf")
    return "bold";
  var a = t.font;
  if (!a || a === "mathnormal")
    return null;
  var n = e.mode;
  if (a === "mathit")
    return "italic";
  if (a === "boldsymbol")
    return e.type === "textord" ? "bold" : "bold-italic";
  if (a === "mathbf")
    return "bold";
  if (a === "mathbb")
    return "double-struck";
  if (a === "mathfrak")
    return "fraktur";
  if (a === "mathscr" || a === "mathcal")
    return "script";
  if (a === "mathsf")
    return "sans-serif";
  if (a === "mathtt")
    return "monospace";
  var s = e.text;
  if (I.contains(["\\imath", "\\jmath"], s))
    return null;
  $[n][s] && $[n][s].replace && (s = $[n][s].replace);
  var o = b.fontMap[a].fontName;
  return ft(s, o, n) ? b.fontMap[a].variant : null;
}, o0 = function(e, t, a) {
  if (e.length === 1) {
    var n = X(e[0], t);
    return a && n instanceof c0 && n.type === "mo" && (n.setAttribute("lspace", "0em"), n.setAttribute("rspace", "0em")), [n];
  }
  for (var s = [], o, h = 0; h < e.length; h++) {
    var c = X(e[h], t);
    if (c instanceof c0 && o instanceof c0) {
      if (c.type === "mtext" && o.type === "mtext" && c.getAttribute("mathvariant") === o.getAttribute("mathvariant")) {
        o.children.push(...c.children);
        continue;
      } else if (c.type === "mn" && o.type === "mn") {
        o.children.push(...c.children);
        continue;
      } else if (c.type === "mi" && c.children.length === 1 && o.type === "mn") {
        var p = c.children[0];
        if (p instanceof ie && p.text === ".") {
          o.children.push(...c.children);
          continue;
        }
      } else if (o.type === "mi" && o.children.length === 1) {
        var g = o.children[0];
        if (g instanceof ie && g.text === "̸" && (c.type === "mo" || c.type === "mi" || c.type === "mn")) {
          var y = c.children[0];
          y instanceof ie && y.text.length > 0 && (y.text = y.text.slice(0, 1) + "̸" + y.text.slice(1), s.pop());
        }
      }
    }
    s.push(c), o = c;
  }
  return s;
}, G0 = function(e, t, a) {
  return gt(o0(e, t, a));
}, X = function(e, t) {
  if (!e)
    return new S.MathNode("mrow");
  if (Ne[e.type]) {
    var a = Ne[e.type](e, t);
    return a;
  } else
    throw new M("Got group of unknown type: '" + e.type + "'");
};
function $t(r, e, t, a, n) {
  var s = o0(r, t), o;
  s.length === 1 && s[0] instanceof c0 && I.contains(["mrow", "mtable"], s[0].type) ? o = s[0] : o = new S.MathNode("mrow", s);
  var h = new S.MathNode("annotation", [new S.TextNode(e)]);
  h.setAttribute("encoding", "application/x-tex");
  var c = new S.MathNode("semantics", [o, h]), p = new S.MathNode("math", [c]);
  p.setAttribute("xmlns", "http://www.w3.org/1998/Math/MathML"), a && p.setAttribute("display", "block");
  var g = n ? "katex" : "katex-mathml";
  return b.makeSpan([g], [p]);
}
var Dr = function(e) {
  return new A0({
    style: e.displayMode ? R.DISPLAY : R.TEXT,
    maxSize: e.maxSize,
    minRuleThickness: e.minRuleThickness
  });
}, Cr = function(e, t) {
  if (t.displayMode) {
    var a = ["katex-display"];
    t.leqno && a.push("leqno"), t.fleqn && a.push("fleqn"), e = b.makeSpan(a, [e]);
  }
  return e;
}, g1 = function(e, t, a) {
  var n = Dr(a), s;
  if (a.output === "mathml")
    return $t(e, t, n, a.displayMode, !0);
  if (a.output === "html") {
    var o = ot(e, n);
    s = b.makeSpan(["katex"], [o]);
  } else {
    var h = $t(e, t, n, a.displayMode, !1), c = ot(e, n);
    s = b.makeSpan(["katex"], [h, c]);
  }
  return Cr(s, a);
}, b1 = function(e, t, a) {
  var n = Dr(a), s = ot(e, n), o = b.makeSpan(["katex"], [s]);
  return Cr(o, a);
}, y1 = {
  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: "⇌",
  // Not a perfect match.
  xleftequilibrium: "⇋",
  // None better available.
  "\\cdrightarrow": "→",
  "\\cdleftarrow": "←",
  "\\cdlongequal": "="
}, x1 = function(e) {
  var t = new S.MathNode("mo", [new S.TextNode(y1[e.replace(/^\\/, "")])]);
  return t.setAttribute("stretchy", "true"), t;
}, w1 = {
  //   path(s), minWidth, height, align
  overrightarrow: [["rightarrow"], 0.888, 522, "xMaxYMin"],
  overleftarrow: [["leftarrow"], 0.888, 522, "xMinYMin"],
  underrightarrow: [["rightarrow"], 0.888, 522, "xMaxYMin"],
  underleftarrow: [["leftarrow"], 0.888, 522, "xMinYMin"],
  xrightarrow: [["rightarrow"], 1.469, 522, "xMaxYMin"],
  "\\cdrightarrow": [["rightarrow"], 3, 522, "xMaxYMin"],
  // CD minwwidth2.5pc
  xleftarrow: [["leftarrow"], 1.469, 522, "xMinYMin"],
  "\\cdleftarrow": [["leftarrow"], 3, 522, "xMinYMin"],
  Overrightarrow: [["doublerightarrow"], 0.888, 560, "xMaxYMin"],
  xRightarrow: [["doublerightarrow"], 1.526, 560, "xMaxYMin"],
  xLeftarrow: [["doubleleftarrow"], 1.526, 560, "xMinYMin"],
  overleftharpoon: [["leftharpoon"], 0.888, 522, "xMinYMin"],
  xleftharpoonup: [["leftharpoon"], 0.888, 522, "xMinYMin"],
  xleftharpoondown: [["leftharpoondown"], 0.888, 522, "xMinYMin"],
  overrightharpoon: [["rightharpoon"], 0.888, 522, "xMaxYMin"],
  xrightharpoonup: [["rightharpoon"], 0.888, 522, "xMaxYMin"],
  xrightharpoondown: [["rightharpoondown"], 0.888, 522, "xMaxYMin"],
  xlongequal: [["longequal"], 0.888, 334, "xMinYMin"],
  "\\cdlongequal": [["longequal"], 3, 334, "xMinYMin"],
  xtwoheadleftarrow: [["twoheadleftarrow"], 0.888, 334, "xMinYMin"],
  xtwoheadrightarrow: [["twoheadrightarrow"], 0.888, 334, "xMaxYMin"],
  overleftrightarrow: [["leftarrow", "rightarrow"], 0.888, 522],
  overbrace: [["leftbrace", "midbrace", "rightbrace"], 1.6, 548],
  underbrace: [["leftbraceunder", "midbraceunder", "rightbraceunder"], 1.6, 548],
  underleftrightarrow: [["leftarrow", "rightarrow"], 0.888, 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"], 0.888, 522],
  underlinesegment: [["leftlinesegment", "rightlinesegment"], 0.888, 522],
  overgroup: [["leftgroup", "rightgroup"], 0.888, 342],
  undergroup: [["leftgroupunder", "rightgroupunder"], 0.888, 342],
  xmapsto: [["leftmapsto", "rightarrow"], 1.5, 522],
  xtofrom: [["leftToFrom", "rightToFrom"], 1.75, 528],
  // The next three arrows are from the mhchem package.
  // In mhchem.sty, min-length is 2.0em. But these arrows might appear in the
  // document as \xrightarrow or \xrightleftharpoons. Those have
  // min-length = 1.75em, so we set min-length on these next three to match.
  xrightleftarrows: [["baraboveleftarrow", "rightarrowabovebar"], 1.75, 901],
  xrightequilibrium: [["baraboveshortleftharpoon", "rightharpoonaboveshortbar"], 1.75, 716],
  xleftequilibrium: [["shortbaraboveleftharpoon", "shortrightharpoonabovebar"], 1.75, 716]
}, k1 = function(e) {
  return e.type === "ordgroup" ? e.body.length : 1;
}, S1 = function(e, t) {
  function a() {
    var h = 4e5, c = e.label.slice(1);
    if (I.contains(["widehat", "widecheck", "widetilde", "utilde"], c)) {
      var p = e, g = k1(p.base), y, w, x;
      if (g > 5)
        c === "widehat" || c === "widecheck" ? (y = 420, h = 2364, x = 0.42, w = c + "4") : (y = 312, h = 2340, x = 0.34, w = "tilde4");
      else {
        var z = [1, 1, 2, 2, 3, 3][g];
        c === "widehat" || c === "widecheck" ? (h = [0, 1062, 2364, 2364, 2364][z], y = [0, 239, 300, 360, 420][z], x = [0, 0.24, 0.3, 0.3, 0.36, 0.42][z], w = c + z) : (h = [0, 600, 1033, 2339, 2340][z], y = [0, 260, 286, 306, 312][z], x = [0, 0.26, 0.286, 0.3, 0.306, 0.34][z], w = "tilde" + z);
      }
      var T = new P0(w), C = new D0([T], {
        width: "100%",
        height: A(x),
        viewBox: "0 0 " + h + " " + y,
        preserveAspectRatio: "none"
      });
      return {
        span: b.makeSvgSpan([], [C], t),
        minWidth: 0,
        height: x
      };
    } else {
      var N = [], O = w1[c], [H, V, L] = O, U = L / 1e3, G = H.length, j, Y;
      if (G === 1) {
        var M0 = O[3];
        j = ["hide-tail"], Y = [M0];
      } else if (G === 2)
        j = ["halfarrow-left", "halfarrow-right"], Y = ["xMinYMin", "xMaxYMin"];
      else if (G === 3)
        j = ["brace-left", "brace-center", "brace-right"], Y = ["xMinYMin", "xMidYMin", "xMaxYMin"];
      else
        throw new Error(`Correct katexImagesData or update code here to support
                    ` + G + " children.");
      for (var r0 = 0; r0 < G; r0++) {
        var e0 = new P0(H[r0]), U0 = new D0([e0], {
          width: "400em",
          height: A(U),
          viewBox: "0 0 " + h + " " + L,
          preserveAspectRatio: Y[r0] + " slice"
        }), s0 = b.makeSvgSpan([j[r0]], [U0], t);
        if (G === 1)
          return {
            span: s0,
            minWidth: V,
            height: U
          };
        s0.style.height = A(U), N.push(s0);
      }
      return {
        span: b.makeSpan(["stretchy"], N, t),
        minWidth: V,
        height: U
      };
    }
  }
  var {
    span: n,
    minWidth: s,
    height: o
  } = a();
  return n.height = o, n.style.height = A(o), s > 0 && (n.style.minWidth = A(s)), n;
}, M1 = function(e, t, a, n, s) {
  var o, h = e.height + e.depth + a + n;
  if (/fbox|color|angl/.test(t)) {
    if (o = b.makeSpan(["stretchy", t], [], s), t === "fbox") {
      var c = s.color && s.getColor();
      c && (o.style.borderColor = c);
    }
  } else {
    var p = [];
    /^[bx]cancel$/.test(t) && p.push(new it({
      x1: "0",
      y1: "0",
      x2: "100%",
      y2: "100%",
      "stroke-width": "0.046em"
    })), /^x?cancel$/.test(t) && p.push(new it({
      x1: "0",
      y1: "100%",
      x2: "100%",
      y2: "0",
      "stroke-width": "0.046em"
    }));
    var g = new D0(p, {
      width: "100%",
      height: A(h)
    });
    o = b.makeSvgSpan([], [g], s);
  }
  return o.height = h, o.style.height = A(h), o;
}, N0 = {
  encloseSpan: M1,
  mathMLnode: x1,
  svgSpan: S1
};
function F(r, e) {
  if (!r || r.type !== e)
    throw new Error("Expected node of type " + e + ", but got " + (r ? "node of type " + r.type : String(r)));
  return r;
}
function yt(r) {
  var e = Ie(r);
  if (!e)
    throw new Error("Expected node of symbol group type, but got " + (r ? "node of type " + r.type : String(r)));
  return e;
}
function Ie(r) {
  return r && (r.type === "atom" || Za.hasOwnProperty(r.type)) ? r : null;
}
var xt = (r, e) => {
  var t, a, n;
  r && r.type === "supsub" ? (a = F(r.base, "accent"), t = a.base, r.base = t, n = Wa(P(r, e)), r.base = a) : (a = F(r, "accent"), t = a.base);
  var s = P(t, e.havingCrampedStyle()), o = a.isShifty && I.isCharacterBox(t), h = 0;
  if (o) {
    var c = I.getBaseElem(t), p = P(c, e.havingCrampedStyle());
    h = Lt(p).skew;
  }
  var g = a.label === "\\c", y = g ? s.height + s.depth : Math.min(s.height, e.fontMetrics().xHeight), w;
  if (a.isStretchy)
    w = N0.svgSpan(a, e), w = b.makeVList({
      positionType: "firstBaseline",
      children: [{
        type: "elem",
        elem: s
      }, {
        type: "elem",
        elem: w,
        wrapperClasses: ["svg-align"],
        wrapperStyle: h > 0 ? {
          width: "calc(100% - " + A(2 * h) + ")",
          marginLeft: A(2 * h)
        } : void 0
      }]
    }, e);
  else {
    var x, z;
    a.label === "\\vec" ? (x = b.staticSvg("vec", e), z = b.svgData.vec[1]) : (x = b.makeOrd({
      mode: a.mode,
      text: a.label
    }, e, "textord"), x = Lt(x), x.italic = 0, z = x.width, g && (y += x.depth)), w = b.makeSpan(["accent-body"], [x]);
    var T = a.label === "\\textcircled";
    T && (w.classes.push("accent-full"), y = s.height);
    var C = h;
    T || (C -= z / 2), w.style.left = A(C), a.label === "\\textcircled" && (w.style.top = ".2em"), w = b.makeVList({
      positionType: "firstBaseline",
      children: [{
        type: "elem",
        elem: s
      }, {
        type: "kern",
        size: -y
      }, {
        type: "elem",
        elem: w
      }]
    }, e);
  }
  var N = b.makeSpan(["mord", "accent"], [w], e);
  return n ? (n.children[0] = N, n.height = Math.max(N.height, n.height), n.classes[0] = "mord", n) : N;
}, Nr = (r, e) => {
  var t = r.isStretchy ? N0.mathMLnode(r.label) : new S.MathNode("mo", [p0(r.label, r.mode)]), a = new S.MathNode("mover", [X(r.base, e), t]);
  return a.setAttribute("accent", "true"), a;
}, z1 = new RegExp(["\\acute", "\\grave", "\\ddot", "\\tilde", "\\bar", "\\breve", "\\check", "\\hat", "\\vec", "\\dot", "\\mathring"].map((r) => "\\" + r).join("|"));
B({
  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: (r, e) => {
    var t = qe(e[0]), a = !z1.test(r.funcName), n = !a || r.funcName === "\\widehat" || r.funcName === "\\widetilde" || r.funcName === "\\widecheck";
    return {
      type: "accent",
      mode: r.parser.mode,
      label: r.funcName,
      isStretchy: a,
      isShifty: n,
      base: t
    };
  },
  htmlBuilder: xt,
  mathmlBuilder: Nr
});
B({
  type: "accent",
  names: ["\\'", "\\`", "\\^", "\\~", "\\=", "\\u", "\\.", '\\"', "\\c", "\\r", "\\H", "\\v", "\\textcircled"],
  props: {
    numArgs: 1,
    allowedInText: !0,
    allowedInMath: !0,
    // unless in strict mode
    argTypes: ["primitive"]
  },
  handler: (r, e) => {
    var t = e[0], a = r.parser.mode;
    return a === "math" && (r.parser.settings.reportNonstrict("mathVsTextAccents", "LaTeX's accent " + r.funcName + " works only in text mode"), a = "text"), {
      type: "accent",
      mode: a,
      label: r.funcName,
      isStretchy: !1,
      isShifty: !0,
      base: t
    };
  },
  htmlBuilder: xt,
  mathmlBuilder: Nr
});
B({
  type: "accentUnder",
  names: ["\\underleftarrow", "\\underrightarrow", "\\underleftrightarrow", "\\undergroup", "\\underlinesegment", "\\utilde"],
  props: {
    numArgs: 1
  },
  handler: (r, e) => {
    var {
      parser: t,
      funcName: a
    } = r, n = e[0];
    return {
      type: "accentUnder",
      mode: t.mode,
      label: a,
      base: n
    };
  },
  htmlBuilder: (r, e) => {
    var t = P(r.base, e), a = N0.svgSpan(r, e), n = r.label === "\\utilde" ? 0.12 : 0, s = b.makeVList({
      positionType: "top",
      positionData: t.height,
      children: [{
        type: "elem",
        elem: a,
        wrapperClasses: ["svg-align"]
      }, {
        type: "kern",
        size: n
      }, {
        type: "elem",
        elem: t
      }]
    }, e);
    return b.makeSpan(["mord", "accentunder"], [s], e);
  },
  mathmlBuilder: (r, e) => {
    var t = N0.mathMLnode(r.label), a = new S.MathNode("munder", [X(r.base, e), t]);
    return a.setAttribute("accentunder", "true"), a;
  }
});
var Se = (r) => {
  var e = new S.MathNode("mpadded", r ? [r] : []);
  return e.setAttribute("width", "+0.6em"), e.setAttribute("lspace", "0.3em"), e;
};
B({
  type: "xArrow",
  names: [
    "\\xleftarrow",
    "\\xrightarrow",
    "\\xLeftarrow",
    "\\xRightarrow",
    "\\xleftrightarrow",
    "\\xLeftrightarrow",
    "\\xhookleftarrow",
    "\\xhookrightarrow",
    "\\xmapsto",
    "\\xrightharpoondown",
    "\\xrightharpoonup",
    "\\xleftharpoondown",
    "\\xleftharpoonup",
    "\\xrightleftharpoons",
    "\\xleftrightharpoons",
    "\\xlongequal",
    "\\xtwoheadrightarrow",
    "\\xtwoheadleftarrow",
    "\\xtofrom",
    // The next 3 functions are here to support the mhchem extension.
    // Direct use of these functions is discouraged and may break someday.
    "\\xrightleftarrows",
    "\\xrightequilibrium",
    "\\xleftequilibrium",
    // The next 3 functions are here only to support the {CD} environment.
    "\\\\cdrightarrow",
    "\\\\cdleftarrow",
    "\\\\cdlongequal"
  ],
  props: {
    numArgs: 1,
    numOptionalArgs: 1
  },
  handler(r, e, t) {
    var {
      parser: a,
      funcName: n
    } = r;
    return {
      type: "xArrow",
      mode: a.mode,
      label: n,
      body: e[0],
      below: t[0]
    };
  },
  // Flow is unable to correctly infer the type of `group`, even though it's
  // unambiguously determined from the passed-in `type` above.
  htmlBuilder(r, e) {
    var t = e.style, a = e.havingStyle(t.sup()), n = b.wrapFragment(P(r.body, a, e), e), s = r.label.slice(0, 2) === "\\x" ? "x" : "cd";
    n.classes.push(s + "-arrow-pad");
    var o;
    r.below && (a = e.havingStyle(t.sub()), o = b.wrapFragment(P(r.below, a, e), e), o.classes.push(s + "-arrow-pad"));
    var h = N0.svgSpan(r, e), c = -e.fontMetrics().axisHeight + 0.5 * h.height, p = -e.fontMetrics().axisHeight - 0.5 * h.height - 0.111;
    (n.depth > 0.25 || r.label === "\\xleftequilibrium") && (p -= n.depth);
    var g;
    if (o) {
      var y = -e.fontMetrics().axisHeight + o.height + 0.5 * h.height + 0.111;
      g = b.makeVList({
        positionType: "individualShift",
        children: [{
          type: "elem",
          elem: n,
          shift: p
        }, {
          type: "elem",
          elem: h,
          shift: c
        }, {
          type: "elem",
          elem: o,
          shift: y
        }]
      }, e);
    } else
      g = b.makeVList({
        positionType: "individualShift",
        children: [{
          type: "elem",
          elem: n,
          shift: p
        }, {
          type: "elem",
          elem: h,
          shift: c
        }]
      }, e);
    return g.children[0].children[0].children[1].classes.push("svg-align"), b.makeSpan(["mrel", "x-arrow"], [g], e);
  },
  mathmlBuilder(r, e) {
    var t = N0.mathMLnode(r.label);
    t.setAttribute("minsize", r.label.charAt(0) === "x" ? "1.75em" : "3.0em");
    var a;
    if (r.body) {
      var n = Se(X(r.body, e));
      if (r.below) {
        var s = Se(X(r.below, e));
        a = new S.MathNode("munderover", [t, s, n]);
      } else
        a = new S.MathNode("mover", [t, n]);
    } else if (r.below) {
      var o = Se(X(r.below, e));
      a = new S.MathNode("munder", [t, o]);
    } else
      a = Se(), a = new S.MathNode("mover", [t, a]);
    return a;
  }
});
var A1 = b.makeSpan;
function qr(r, e) {
  var t = t0(r.body, e, !0);
  return A1([r.mclass], t, e);
}
function Rr(r, e) {
  var t, a = o0(r.body, e);
  return r.mclass === "minner" ? t = new S.MathNode("mpadded", a) : r.mclass === "mord" ? r.isCharacterBox ? (t = a[0], t.type = "mi") : t = new S.MathNode("mi", a) : (r.isCharacterBox ? (t = a[0], t.type = "mo") : t = new S.MathNode("mo", a), r.mclass === "mbin" ? (t.attributes.lspace = "0.22em", t.attributes.rspace = "0.22em") : r.mclass === "mpunct" ? (t.attributes.lspace = "0em", t.attributes.rspace = "0.17em") : r.mclass === "mopen" || r.mclass === "mclose" ? (t.attributes.lspace = "0em", t.attributes.rspace = "0em") : r.mclass === "minner" && (t.attributes.lspace = "0.0556em", t.attributes.width = "+0.1111em")), t;
}
B({
  type: "mclass",
  names: ["\\mathord", "\\mathbin", "\\mathrel", "\\mathopen", "\\mathclose", "\\mathpunct", "\\mathinner"],
  props: {
    numArgs: 1,
    primitive: !0
  },
  handler(r, e) {
    var {
      parser: t,
      funcName: a
    } = r, n = e[0];
    return {
      type: "mclass",
      mode: t.mode,
      mclass: "m" + a.slice(5),
      // TODO(kevinb): don't prefix with 'm'
      body: Q(n),
      isCharacterBox: I.isCharacterBox(n)
    };
  },
  htmlBuilder: qr,
  mathmlBuilder: Rr
});
var Oe = (r) => {
  var e = r.type === "ordgroup" && r.body.length ? r.body[0] : r;
  return e.type === "atom" && (e.family === "bin" || e.family === "rel") ? "m" + e.family : "mord";
};
B({
  type: "mclass",
  names: ["\\@binrel"],
  props: {
    numArgs: 2
  },
  handler(r, e) {
    var {
      parser: t
    } = r;
    return {
      type: "mclass",
      mode: t.mode,
      mclass: Oe(e[0]),
      body: Q(e[1]),
      isCharacterBox: I.isCharacterBox(e[1])
    };
  }
});
B({
  type: "mclass",
  names: ["\\stackrel", "\\overset", "\\underset"],
  props: {
    numArgs: 2
  },
  handler(r, e) {
    var {
      parser: t,
      funcName: a
    } = r, n = e[1], s = e[0], o;
    a !== "\\stackrel" ? o = Oe(n) : o = "mrel";
    var h = {
      type: "op",
      mode: n.mode,
      limits: !0,
      alwaysHandleSupSub: !0,
      parentIsSupSub: !1,
      symbol: !1,
      suppressBaseShift: a !== "\\stackrel",
      body: Q(n)
    }, c = {
      type: "supsub",
      mode: s.mode,
      base: h,
      sup: a === "\\underset" ? null : s,
      sub: a === "\\underset" ? s : null
    };
    return {
      type: "mclass",
      mode: t.mode,
      mclass: o,
      body: [c],
      isCharacterBox: I.isCharacterBox(c)
    };
  },
  htmlBuilder: qr,
  mathmlBuilder: Rr
});
B({
  type: "pmb",
  names: ["\\pmb"],
  props: {
    numArgs: 1,
    allowedInText: !0
  },
  handler(r, e) {
    var {
      parser: t
    } = r;
    return {
      type: "pmb",
      mode: t.mode,
      mclass: Oe(e[0]),
      body: Q(e[0])
    };
  },
  htmlBuilder(r, e) {
    var t = t0(r.body, e, !0), a = b.makeSpan([r.mclass], t, e);
    return a.style.textShadow = "0.02em 0.01em 0.04px", a;
  },
  mathmlBuilder(r, e) {
    var t = o0(r.body, e), a = new S.MathNode("mstyle", t);
    return a.setAttribute("style", "text-shadow: 0.02em 0.01em 0.04px"), a;
  }
});
var T1 = {
  ">": "\\\\cdrightarrow",
  "<": "\\\\cdleftarrow",
  "=": "\\\\cdlongequal",
  A: "\\uparrow",
  V: "\\downarrow",
  "|": "\\Vert",
  ".": "no arrow"
}, Wt = () => ({
  type: "styling",
  body: [],
  mode: "math",
  style: "display"
}), jt = (r) => r.type === "textord" && r.text === "@", B1 = (r, e) => (r.type === "mathord" || r.type === "atom") && r.text === e;
function D1(r, e, t) {
  var a = T1[r];
  switch (a) {
    case "\\\\cdrightarrow":
    case "\\\\cdleftarrow":
      return t.callFunction(a, [e[0]], [e[1]]);
    case "\\uparrow":
    case "\\downarrow": {
      var n = t.callFunction("\\\\cdleft", [e[0]], []), s = {
        type: "atom",
        text: a,
        mode: "math",
        family: "rel"
      }, o = t.callFunction("\\Big", [s], []), h = t.callFunction("\\\\cdright", [e[1]], []), c = {
        type: "ordgroup",
        mode: "math",
        body: [n, o, h]
      };
      return t.callFunction("\\\\cdparent", [c], []);
    }
    case "\\\\cdlongequal":
      return t.callFunction("\\\\cdlongequal", [], []);
    case "\\Vert": {
      var p = {
        type: "textord",
        text: "\\Vert",
        mode: "math"
      };
      return t.callFunction("\\Big", [p], []);
    }
    default:
      return {
        type: "textord",
        text: " ",
        mode: "math"
      };
  }
}
function C1(r) {
  var e = [];
  for (r.gullet.beginGroup(), r.gullet.macros.set("\\cr", "\\\\\\relax"), r.gullet.beginGroup(); ; ) {
    e.push(r.parseExpression(!1, "\\\\")), r.gullet.endGroup(), r.gullet.beginGroup();
    var t = r.fetch().text;
    if (t === "&" || t === "\\\\")
      r.consume();
    else if (t === "\\end") {
      e[e.length - 1].length === 0 && e.pop();
      break;
    } else
      throw new M("Expected \\\\ or \\cr or \\end", r.nextToken);
  }
  for (var a = [], n = [a], s = 0; s < e.length; s++) {
    for (var o = e[s], h = Wt(), c = 0; c < o.length; c++)
      if (!jt(o[c]))
        h.body.push(o[c]);
      else {
        a.push(h), c += 1;
        var p = yt(o[c]).text, g = new Array(2);
        if (g[0] = {
          type: "ordgroup",
          mode: "math",
          body: []
        }, g[1] = {
          type: "ordgroup",
          mode: "math",
          body: []
        }, !("=|.".indexOf(p) > -1))
          if ("<>AV".indexOf(p) > -1)
            for (var y = 0; y < 2; y++) {
              for (var w = !0, x = c + 1; x < o.length; x++) {
                if (B1(o[x], p)) {
                  w = !1, c = x;
                  break;
                }
                if (jt(o[x]))
                  throw new M("Missing a " + p + " character to complete a CD arrow.", o[x]);
                g[y].body.push(o[x]);
              }
              if (w)
                throw new M("Missing a " + p + " character to complete a CD arrow.", o[c]);
            }
          else
            throw new M('Expected one of "<>AV=|." after @', o[c]);
        var z = D1(p, g, r), T = {
          type: "styling",
          body: [z],
          mode: "math",
          style: "display"
          // CD is always displaystyle.
        };
        a.push(T), h = Wt();
      }
    s % 2 === 0 ? a.push(h) : a.shift(), a = [], n.push(a);
  }
  r.gullet.endGroup(), r.gullet.endGroup();
  var C = new Array(n[0].length).fill({
    type: "align",
    align: "c",
    pregap: 0.25,
    // CD package sets \enskip between columns.
    postgap: 0.25
    // So pre and post each get half an \enskip, i.e. 0.25em.
  });
  return {
    type: "array",
    mode: "math",
    body: n,
    arraystretch: 1,
    addJot: !0,
    rowGaps: [null],
    cols: C,
    colSeparationType: "CD",
    hLinesBeforeRow: new Array(n.length + 1).fill([])
  };
}
B({
  type: "cdlabel",
  names: ["\\\\cdleft", "\\\\cdright"],
  props: {
    numArgs: 1
  },
  handler(r, e) {
    var {
      parser: t,
      funcName: a
    } = r;
    return {
      type: "cdlabel",
      mode: t.mode,
      side: a.slice(4),
      label: e[0]
    };
  },
  htmlBuilder(r, e) {
    var t = e.havingStyle(e.style.sup()), a = b.wrapFragment(P(r.label, t, e), e);
    return a.classes.push("cd-label-" + r.side), a.style.bottom = A(0.8 - a.depth), a.height = 0, a.depth = 0, a;
  },
  mathmlBuilder(r, e) {
    var t = new S.MathNode("mrow", [X(r.label, e)]);
    return t = new S.MathNode("mpadded", [t]), t.setAttribute("width", "0"), r.side === "left" && t.setAttribute("lspace", "-1width"), t.setAttribute("voffset", "0.7em"), t = new S.MathNode("mstyle", [t]), t.setAttribute("displaystyle", "false"), t.setAttribute("scriptlevel", "1"), t;
  }
});
B({
  type: "cdlabelparent",
  names: ["\\\\cdparent"],
  props: {
    numArgs: 1
  },
  handler(r, e) {
    var {
      parser: t
    } = r;
    return {
      type: "cdlabelparent",
      mode: t.mode,
      fragment: e[0]
    };
  },
  htmlBuilder(r, e) {
    var t = b.wrapFragment(P(r.fragment, e), e);
    return t.classes.push("cd-vert-arrow"), t;
  },
  mathmlBuilder(r, e) {
    return new S.MathNode("mrow", [X(r.fragment, e)]);
  }
});
B({
  type: "textord",
  names: ["\\@char"],
  props: {
    numArgs: 1,
    allowedInText: !0
  },
  handler(r, e) {
    for (var {
      parser: t
    } = r, a = F(e[0], "ordgroup"), n = a.body, s = "", o = 0; o < n.length; o++) {
      var h = F(n[o], "textord");
      s += h.text;
    }
    var c = parseInt(s), p;
    if (isNaN(c))
      throw new M("\\@char has non-numeric argument " + s);
    if (c < 0 || c >= 1114111)
      throw new M("\\@char with invalid code point " + s);
    return c <= 65535 ? p = String.fromCharCode(c) : (c -= 65536, p = String.fromCharCode((c >> 10) + 55296, (c & 1023) + 56320)), {
      type: "textord",
      mode: t.mode,
      text: p
    };
  }
});
var Er = (r, e) => {
  var t = t0(r.body, e.withColor(r.color), !1);
  return b.makeFragment(t);
}, Ir = (r, e) => {
  var t = o0(r.body, e.withColor(r.color)), a = new S.MathNode("mstyle", t);
  return a.setAttribute("mathcolor", r.color), a;
};
B({
  type: "color",
  names: ["\\textcolor"],
  props: {
    numArgs: 2,
    allowedInText: !0,
    argTypes: ["color", "original"]
  },
  handler(r, e) {
    var {
      parser: t
    } = r, a = F(e[0], "color-token").color, n = e[1];
    return {
      type: "color",
      mode: t.mode,
      color: a,
      body: Q(n)
    };
  },
  htmlBuilder: Er,
  mathmlBuilder: Ir
});
B({
  type: "color",
  names: ["\\color"],
  props: {
    numArgs: 1,
    allowedInText: !0,
    argTypes: ["color"]
  },
  handler(r, e) {
    var {
      parser: t,
      breakOnTokenText: a
    } = r, n = F(e[0], "color-token").color;
    t.gullet.macros.set("\\current@color", n);
    var s = t.parseExpression(!0, a);
    return {
      type: "color",
      mode: t.mode,
      color: n,
      body: s
    };
  },
  htmlBuilder: Er,
  mathmlBuilder: Ir
});
B({
  type: "cr",
  names: ["\\\\"],
  props: {
    numArgs: 0,
    numOptionalArgs: 0,
    allowedInText: !0
  },
  handler(r, e, t) {
    var {
      parser: a
    } = r, n = a.gullet.future().text === "[" ? a.parseSizeGroup(!0) : null, s = !a.settings.displayMode || !a.settings.useStrictBehavior("newLineInDisplayMode", "In LaTeX, \\\\ or \\newline does nothing in display mode");
    return {
      type: "cr",
      mode: a.mode,
      newLine: s,
      size: n && F(n, "size").value
    };
  },
  // The following builders are called only at the top level,
  // not within tabular/array environments.
  htmlBuilder(r, e) {
    var t = b.makeSpan(["mspace"], [], e);
    return r.newLine && (t.classes.push("newline"), r.size && (t.style.marginTop = A(K(r.size, e)))), t;
  },
  mathmlBuilder(r, e) {
    var t = new S.MathNode("mspace");
    return r.newLine && (t.setAttribute("linebreak", "newline"), r.size && t.setAttribute("height", A(K(r.size, e)))), t;
  }
});
var ut = {
  "\\global": "\\global",
  "\\long": "\\\\globallong",
  "\\\\globallong": "\\\\globallong",
  "\\def": "\\gdef",
  "\\gdef": "\\gdef",
  "\\edef": "\\xdef",
  "\\xdef": "\\xdef",
  "\\let": "\\\\globallet",
  "\\futurelet": "\\\\globalfuture"
}, Or = (r) => {
  var e = r.text;
  if (/^(?:[\\{}$&#^_]|EOF)$/.test(e))
    throw new M("Expected a control sequence", r);
  return e;
}, N1 = (r) => {
  var e = r.gullet.popToken();
  return e.text === "=" && (e = r.gullet.popToken(), e.text === " " && (e = r.gullet.popToken())), e;
}, Hr = (r, e, t, a) => {
  var n = r.gullet.macros.get(t.text);
  n == null && (t.noexpand = !0, n = {
    tokens: [t],
    numArgs: 0,
    // reproduce the same behavior in expansion
    unexpandable: !r.gullet.isExpandable(t.text)
  }), r.gullet.macros.set(e, n, a);
};
B({
  type: "internal",
  names: [
    "\\global",
    "\\long",
    "\\\\globallong"
    // can’t be entered directly
  ],
  props: {
    numArgs: 0,
    allowedInText: !0
  },
  handler(r) {
    var {
      parser: e,
      funcName: t
    } = r;
    e.consumeSpaces();
    var a = e.fetch();
    if (ut[a.text])
      return (t === "\\global" || t === "\\\\globallong") && (a.text = ut[a.text]), F(e.parseFunction(), "internal");
    throw new M("Invalid token after macro prefix", a);
  }
});
B({
  type: "internal",
  names: ["\\def", "\\gdef", "\\edef", "\\xdef"],
  props: {
    numArgs: 0,
    allowedInText: !0,
    primitive: !0
  },
  handler(r) {
    var {
      parser: e,
      funcName: t
    } = r, a = e.gullet.popToken(), n = a.text;
    if (/^(?:[\\{}$&#^_]|EOF)$/.test(n))
      throw new M("Expected a control sequence", a);
    for (var s = 0, o, h = [[]]; e.gullet.future().text !== "{"; )
      if (a = e.gullet.popToken(), a.text === "#") {
        if (e.gullet.future().text === "{") {
          o = e.gullet.future(), h[s].push("{");
          break;
        }
        if (a = e.gullet.popToken(), !/^[1-9]$/.test(a.text))
          throw new M('Invalid argument number "' + a.text + '"');
        if (parseInt(a.text) !== s + 1)
          throw new M('Argument number "' + a.text + '" out of order');
        s++, h.push([]);
      } else {
        if (a.text === "EOF")
          throw new M("Expected a macro definition");
        h[s].push(a.text);
      }
    var {
      tokens: c
    } = e.gullet.consumeArg();
    return o && c.unshift(o), (t === "\\edef" || t === "\\xdef") && (c = e.gullet.expandTokens(c), c.reverse()), e.gullet.macros.set(n, {
      tokens: c,
      numArgs: s,
      delimiters: h
    }, t === ut[t]), {
      type: "internal",
      mode: e.mode
    };
  }
});
B({
  type: "internal",
  names: [
    "\\let",
    "\\\\globallet"
    // can’t be entered directly
  ],
  props: {
    numArgs: 0,
    allowedInText: !0,
    primitive: !0
  },
  handler(r) {
    var {
      parser: e,
      funcName: t
    } = r, a = Or(e.gullet.popToken());
    e.gullet.consumeSpaces();
    var n = N1(e);
    return Hr(e, a, n, t === "\\\\globallet"), {
      type: "internal",
      mode: e.mode
    };
  }
});
B({
  type: "internal",
  names: [
    "\\futurelet",
    "\\\\globalfuture"
    // can’t be entered directly
  ],
  props: {
    numArgs: 0,
    allowedInText: !0,
    primitive: !0
  },
  handler(r) {
    var {
      parser: e,
      funcName: t
    } = r, a = Or(e.gullet.popToken()), n = e.gullet.popToken(), s = e.gullet.popToken();
    return Hr(e, a, s, t === "\\\\globalfuture"), e.gullet.pushToken(s), e.gullet.pushToken(n), {
      type: "internal",
      mode: e.mode
    };
  }
});
var ne = function(e, t, a) {
  var n = $.math[e] && $.math[e].replace, s = ft(n || e, t, a);
  if (!s)
    throw new Error("Unsupported symbol " + e + " and font size " + t + ".");
  return s;
}, wt = function(e, t, a, n) {
  var s = a.havingBaseStyle(t), o = b.makeSpan(n.concat(s.sizingClasses(a)), [e], a), h = s.sizeMultiplier / a.sizeMultiplier;
  return o.height *= h, o.depth *= h, o.maxFontSize = s.sizeMultiplier, o;
}, Fr = function(e, t, a) {
  var n = t.havingBaseStyle(a), s = (1 - t.sizeMultiplier / n.sizeMultiplier) * t.fontMetrics().axisHeight;
  e.classes.push("delimcenter"), e.style.top = A(s), e.height -= s, e.depth += s;
}, q1 = function(e, t, a, n, s, o) {
  var h = b.makeSymbol(e, "Main-Regular", s, n), c = wt(h, t, n, o);
  return a && Fr(c, n, t), c;
}, R1 = function(e, t, a, n) {
  return b.makeSymbol(e, "Size" + t + "-Regular", a, n);
}, Lr = function(e, t, a, n, s, o) {
  var h = R1(e, t, s, n), c = wt(b.makeSpan(["delimsizing", "size" + t], [h], n), R.TEXT, n, o);
  return a && Fr(c, n, R.TEXT), c;
}, je = function(e, t, a) {
  var n;
  t === "Size1-Regular" ? n = "delim-size1" : n = "delim-size4";
  var s = b.makeSpan(["delimsizinginner", n], [b.makeSpan([], [b.makeSymbol(e, t, a)])]);
  return {
    type: "elem",
    elem: s
  };
}, Ze = function(e, t, a) {
  var n = y0["Size4-Regular"][e.charCodeAt(0)] ? y0["Size4-Regular"][e.charCodeAt(0)][4] : y0["Size1-Regular"][e.charCodeAt(0)][4], s = new P0("inner", La(e, Math.round(1e3 * t))), o = new D0([s], {
    width: A(n),
    height: A(t),
    // Override CSS rule `.katex svg { width: 100% }`
    style: "width:" + A(n),
    viewBox: "0 0 " + 1e3 * n + " " + Math.round(1e3 * t),
    preserveAspectRatio: "xMinYMin"
  }), h = b.makeSvgSpan([], [o], a);
  return h.height = t, h.style.height = A(t), h.style.width = A(n), {
    type: "elem",
    elem: h
  };
}, ht = 8e-3, Me = {
  type: "kern",
  size: -1 * ht
}, E1 = ["|", "\\lvert", "\\rvert", "\\vert"], I1 = ["\\|", "\\lVert", "\\rVert", "\\Vert"], Pr = function(e, t, a, n, s, o) {
  var h, c, p, g, y = "", w = 0;
  h = p = g = e, c = null;
  var x = "Size1-Regular";
  e === "\\uparrow" ? p = g = "⏐" : e === "\\Uparrow" ? p = g = "‖" : e === "\\downarrow" ? h = p = "⏐" : e === "\\Downarrow" ? h = p = "‖" : e === "\\updownarrow" ? (h = "\\uparrow", p = "⏐", g = "\\downarrow") : e === "\\Updownarrow" ? (h = "\\Uparrow", p = "‖", g = "\\Downarrow") : I.contains(E1, e) ? (p = "∣", y = "vert", w = 333) : I.contains(I1, e) ? (p = "∥", y = "doublevert", w = 556) : e === "[" || e === "\\lbrack" ? (h = "⎡", p = "⎢", g = "⎣", x = "Size4-Regular", y = "lbrack", w = 667) : e === "]" || e === "\\rbrack" ? (h = "⎤", p = "⎥", g = "⎦", x = "Size4-Regular", y = "rbrack", w = 667) : e === "\\lfloor" || e === "⌊" ? (p = h = "⎢", g = "⎣", x = "Size4-Regular", y = "lfloor", w = 667) : e === "\\lceil" || e === "⌈" ? (h = "⎡", p = g = "⎢", x = "Size4-Regular", y = "lceil", w = 667) : e === "\\rfloor" || e === "⌋" ? (p = h = "⎥", g = "⎦", x = "Size4-Regular", y = "rfloor", w = 667) : e === "\\rceil" || e === "⌉" ? (h = "⎤", p = g = "⎥", x = "Size4-Regular", y = "rceil", w = 667) : e === "(" || e === "\\lparen" ? (h = "⎛", p = "⎜", g = "⎝", x = "Size4-Regular", y = "lparen", w = 875) : e === ")" || e === "\\rparen" ? (h = "⎞", p = "⎟", g = "⎠", x = "Size4-Regular", y = "rparen", w = 875) : e === "\\{" || e === "\\lbrace" ? (h = "⎧", c = "⎨", g = "⎩", p = "⎪", x = "Size4-Regular") : e === "\\}" || e === "\\rbrace" ? (h = "⎫", c = "⎬", g = "⎭", p = "⎪", x = "Size4-Regular") : e === "\\lgroup" || e === "⟮" ? (h = "⎧", g = "⎩", p = "⎪", x = "Size4-Regular") : e === "\\rgroup" || e === "⟯" ? (h = "⎫", g = "⎭", p = "⎪", x = "Size4-Regular") : e === "\\lmoustache" || e === "⎰" ? (h = "⎧", g = "⎭", p = "⎪", x = "Size4-Regular") : (e === "\\rmoustache" || e === "⎱") && (h = "⎫", g = "⎩", p = "⎪", x = "Size4-Regular");
  var z = ne(h, x, s), T = z.height + z.depth, C = ne(p, x, s), N = C.height + C.depth, O = ne(g, x, s), H = O.height + O.depth, V = 0, L = 1;
  if (c !== null) {
    var U = ne(c, x, s);
    V = U.height + U.depth, L = 2;
  }
  var G = T + H + V, j = Math.max(0, Math.ceil((t - G) / (L * N))), Y = G + j * L * N, M0 = n.fontMetrics().axisHeight;
  a && (M0 *= n.sizeMultiplier);
  var r0 = Y / 2 - M0, e0 = [];
  if (y.length > 0) {
    var U0 = Y - T - H, s0 = Math.round(Y * 1e3), v0 = Pa(y, Math.round(U0 * 1e3)), R0 = new P0(y, v0), W0 = (w / 1e3).toFixed(3) + "em", j0 = (s0 / 1e3).toFixed(3) + "em", Le = new D0([R0], {
      width: W0,
      height: j0,
      viewBox: "0 0 " + w + " " + s0
    }), E0 = b.makeSvgSpan([], [Le], n);
    E0.height = s0 / 1e3, E0.style.width = W0, E0.style.height = j0, e0.push({
      type: "elem",
      elem: E0
    });
  } else {
    if (e0.push(je(g, x, s)), e0.push(Me), c === null) {
      var I0 = Y - T - H + 2 * ht;
      e0.push(Ze(p, I0, n));
    } else {
      var m0 = (Y - T - H - V) / 2 + 2 * ht;
      e0.push(Ze(p, m0, n)), e0.push(Me), e0.push(je(c, x, s)), e0.push(Me), e0.push(Ze(p, m0, n));
    }
    e0.push(Me), e0.push(je(h, x, s));
  }
  var ae = n.havingBaseStyle(R.TEXT), Pe = b.makeVList({
    positionType: "bottom",
    positionData: r0,
    children: e0
  }, ae);
  return wt(b.makeSpan(["delimsizing", "mult"], [Pe], ae), R.TEXT, n, o);
}, Ke = 80, Je = 0.08, Qe = function(e, t, a, n, s) {
  var o = Fa(e, n, a), h = new P0(e, o), c = new D0([h], {
    // Note: 1000:1 ratio of viewBox to document em width.
    width: "400em",
    height: A(t),
    viewBox: "0 0 400000 " + a,
    preserveAspectRatio: "xMinYMin slice"
  });
  return b.makeSvgSpan(["hide-tail"], [c], s);
}, O1 = function(e, t) {
  var a = t.havingBaseSizing(), n = Yr("\\surd", e * a.sizeMultiplier, Ur, a), s = a.sizeMultiplier, o = Math.max(0, t.minRuleThickness - t.fontMetrics().sqrtRuleThickness), h, c = 0, p = 0, g = 0, y;
  return n.type === "small" ? (g = 1e3 + 1e3 * o + Ke, e < 1 ? s = 1 : e < 1.4 && (s = 0.7), c = (1 + o + Je) / s, p = (1 + o) / s, h = Qe("sqrtMain", c, g, o, t), h.style.minWidth = "0.853em", y = 0.833 / s) : n.type === "large" ? (g = (1e3 + Ke) * se[n.size], p = (se[n.size] + o) / s, c = (se[n.size] + o + Je) / s, h = Qe("sqrtSize" + n.size, c, g, o, t), h.style.minWidth = "1.02em", y = 1 / s) : (c = e + o + Je, p = e + o, g = Math.floor(1e3 * e + o) + Ke, h = Qe("sqrtTall", c, g, o, t), h.style.minWidth = "0.742em", y = 1.056), h.height = p, h.style.height = A(c), {
    span: h,
    advanceWidth: y,
    // Calculate the actual line width.
    // This actually should depend on the chosen font -- e.g. \boldmath
    // should use the thicker surd symbols from e.g. KaTeX_Main-Bold, and
    // have thicker rules.
    ruleWidth: (t.fontMetrics().sqrtRuleThickness + o) * s
  };
}, Gr = ["(", "\\lparen", ")", "\\rparen", "[", "\\lbrack", "]", "\\rbrack", "\\{", "\\lbrace", "\\}", "\\rbrace", "\\lfloor", "\\rfloor", "⌊", "⌋", "\\lceil", "\\rceil", "⌈", "⌉", "\\surd"], H1 = ["\\uparrow", "\\downarrow", "\\updownarrow", "\\Uparrow", "\\Downarrow", "\\Updownarrow", "|", "\\|", "\\vert", "\\Vert", "\\lvert", "\\rvert", "\\lVert", "\\rVert", "\\lgroup", "\\rgroup", "⟮", "⟯", "\\lmoustache", "\\rmoustache", "⎰", "⎱"], Vr = ["<", ">", "\\langle", "\\rangle", "/", "\\backslash", "\\lt", "\\gt"], se = [0, 1.2, 1.8, 2.4, 3], F1 = function(e, t, a, n, s) {
  if (e === "<" || e === "\\lt" || e === "⟨" ? e = "\\langle" : (e === ">" || e === "\\gt" || e === "⟩") && (e = "\\rangle"), I.contains(Gr, e) || I.contains(Vr, e))
    return Lr(e, t, !1, a, n, s);
  if (I.contains(H1, e))
    return Pr(e, se[t], !1, a, n, s);
  throw new M("Illegal delimiter: '" + e + "'");
}, L1 = [{
  type: "small",
  style: R.SCRIPTSCRIPT
}, {
  type: "small",
  style: R.SCRIPT
}, {
  type: "small",
  style: R.TEXT
}, {
  type: "large",
  size: 1
}, {
  type: "large",
  size: 2
}, {
  type: "large",
  size: 3
}, {
  type: "large",
  size: 4
}], P1 = [{
  type: "small",
  style: R.SCRIPTSCRIPT
}, {
  type: "small",
  style: R.SCRIPT
}, {
  type: "small",
  style: R.TEXT
}, {
  type: "stack"
}], Ur = [{
  type: "small",
  style: R.SCRIPTSCRIPT
}, {
  type: "small",
  style: R.SCRIPT
}, {
  type: "small",
  style: R.TEXT
}, {
  type: "large",
  size: 1
}, {
  type: "large",
  size: 2
}, {
  type: "large",
  size: 3
}, {
  type: "large",
  size: 4
}, {
  type: "stack"
}], G1 = function(e) {
  if (e.type === "small")
    return "Main-Regular";
  if (e.type === "large")
    return "Size" + e.size + "-Regular";
  if (e.type === "stack")
    return "Size4-Regular";
  throw new Error("Add support for delim type '" + e.type + "' here.");
}, Yr = function(e, t, a, n) {
  for (var s = Math.min(2, 3 - n.style.size), o = s; o < a.length && a[o].type !== "stack"; o++) {
    var h = ne(e, G1(a[o]), "math"), c = h.height + h.depth;
    if (a[o].type === "small") {
      var p = n.havingBaseStyle(a[o].style);
      c *= p.sizeMultiplier;
    }
    if (c > t)
      return a[o];
  }
  return a[a.length - 1];
}, Xr = function(e, t, a, n, s, o) {
  e === "<" || e === "\\lt" || e === "⟨" ? e = "\\langle" : (e === ">" || e === "\\gt" || e === "⟩") && (e = "\\rangle");
  var h;
  I.contains(Vr, e) ? h = L1 : I.contains(Gr, e) ? h = Ur : h = P1;
  var c = Yr(e, t, h, n);
  return c.type === "small" ? q1(e, c.style, a, n, s, o) : c.type === "large" ? Lr(e, c.size, a, n, s, o) : Pr(e, t, a, n, s, o);
}, V1 = function(e, t, a, n, s, o) {
  var h = n.fontMetrics().axisHeight * n.sizeMultiplier, c = 901, p = 5 / n.fontMetrics().ptPerEm, g = Math.max(t - h, a + h), y = Math.max(
    // In real TeX, calculations are done using integral values which are
    // 65536 per pt, or 655360 per em. So, the division here truncates in
    // TeX but doesn't here, producing different results. If we wanted to
    // exactly match TeX's calculation, we could do
    //   Math.floor(655360 * maxDistFromAxis / 500) *
    //    delimiterFactor / 655360
    // (To see the difference, compare
    //    x^{x^{\left(\rule{0.1em}{0.68em}\right)}}
    // in TeX and KaTeX)
    g / 500 * c,
    2 * g - p
  );
  return Xr(e, y, !0, n, s, o);
}, B0 = {
  sqrtImage: O1,
  sizedDelim: F1,
  sizeToMaxHeight: se,
  customSizedDelim: Xr,
  leftRightDelim: V1
}, Zt = {
  "\\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
  }
}, U1 = ["(", "\\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 He(r, e) {
  var t = Ie(r);
  if (t && I.contains(U1, t.text))
    return t;
  throw t ? new M("Invalid delimiter '" + t.text + "' after '" + e.funcName + "'", r) : new M("Invalid delimiter type '" + r.type + "'", r);
}
B({
  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: (r, e) => {
    var t = He(e[0], r);
    return {
      type: "delimsizing",
      mode: r.parser.mode,
      size: Zt[r.funcName].size,
      mclass: Zt[r.funcName].mclass,
      delim: t.text
    };
  },
  htmlBuilder: (r, e) => r.delim === "." ? b.makeSpan([r.mclass]) : B0.sizedDelim(r.delim, r.size, e, r.mode, [r.mclass]),
  mathmlBuilder: (r) => {
    var e = [];
    r.delim !== "." && e.push(p0(r.delim, r.mode));
    var t = new S.MathNode("mo", e);
    r.mclass === "mopen" || r.mclass === "mclose" ? t.setAttribute("fence", "true") : t.setAttribute("fence", "false"), t.setAttribute("stretchy", "true");
    var a = A(B0.sizeToMaxHeight[r.size]);
    return t.setAttribute("minsize", a), t.setAttribute("maxsize", a), t;
  }
});
function Kt(r) {
  if (!r.body)
    throw new Error("Bug: The leftright ParseNode wasn't fully parsed.");
}
B({
  type: "leftright-right",
  names: ["\\right"],
  props: {
    numArgs: 1,
    primitive: !0
  },
  handler: (r, e) => {
    var t = r.parser.gullet.macros.get("\\current@color");
    if (t && typeof t != "string")
      throw new M("\\current@color set to non-string in \\right");
    return {
      type: "leftright-right",
      mode: r.parser.mode,
      delim: He(e[0], r).text,
      color: t
      // undefined if not set via \color
    };
  }
});
B({
  type: "leftright",
  names: ["\\left"],
  props: {
    numArgs: 1,
    primitive: !0
  },
  handler: (r, e) => {
    var t = He(e[0], r), a = r.parser;
    ++a.leftrightDepth;
    var n = a.parseExpression(!1);
    --a.leftrightDepth, a.expect("\\right", !1);
    var s = F(a.parseFunction(), "leftright-right");
    return {
      type: "leftright",
      mode: a.mode,
      body: n,
      left: t.text,
      right: s.delim,
      rightColor: s.color
    };
  },
  htmlBuilder: (r, e) => {
    Kt(r);
    for (var t = t0(r.body, e, !0, ["mopen", "mclose"]), a = 0, n = 0, s = !1, o = 0; o < t.length; o++)
      t[o].isMiddle ? s = !0 : (a = Math.max(t[o].height, a), n = Math.max(t[o].depth, n));
    a *= e.sizeMultiplier, n *= e.sizeMultiplier;
    var h;
    if (r.left === "." ? h = oe(e, ["mopen"]) : h = B0.leftRightDelim(r.left, a, n, e, r.mode, ["mopen"]), t.unshift(h), s)
      for (var c = 1; c < t.length; c++) {
        var p = t[c], g = p.isMiddle;
        g && (t[c] = B0.leftRightDelim(g.delim, a, n, g.options, r.mode, []));
      }
    var y;
    if (r.right === ".")
      y = oe(e, ["mclose"]);
    else {
      var w = r.rightColor ? e.withColor(r.rightColor) : e;
      y = B0.leftRightDelim(r.right, a, n, w, r.mode, ["mclose"]);
    }
    return t.push(y), b.makeSpan(["minner"], t, e);
  },
  mathmlBuilder: (r, e) => {
    Kt(r);
    var t = o0(r.body, e);
    if (r.left !== ".") {
      var a = new S.MathNode("mo", [p0(r.left, r.mode)]);
      a.setAttribute("fence", "true"), t.unshift(a);
    }
    if (r.right !== ".") {
      var n = new S.MathNode("mo", [p0(r.right, r.mode)]);
      n.setAttribute("fence", "true"), r.rightColor && n.setAttribute("mathcolor", r.rightColor), t.push(n);
    }
    return gt(t);
  }
});
B({
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  names: ["\\middle"],
  props: {
    numArgs: 1,
    primitive: !0
  },
  handler: (r, e) => {
    var t = He(e[0], r);
    if (!r.parser.leftrightDepth)
      throw new M("\\middle without preceding \\left", t);
    return {
      type: "middle",
      mode: r.parser.mode,
      delim: t.text
    };
  },
  htmlBuilder: (r, e) => {
    var t;
    if (r.delim === ".")
      t = oe(e, []);
    else {
      t = B0.sizedDelim(r.delim, 1, e, r.mode, []);
      var a = {
        delim: r.delim,
        options: e
      };
      t.isMiddle = a;
    }
    return t;
  },
  mathmlBuilder: (r, e) => {
    var t = r.delim === "\\vert" || r.delim === "|" ? p0("|", "text") : p0(r.delim, r.mode), a = new S.MathNode("mo", [t]);
    return a.setAttribute("fence", "true"), a.setAttribute("lspace", "0.05em"), a.setAttribute("rspace", "0.05em"), a;
  }
});
var kt = (r, e) => {
  var t = b.wrapFragment(P(r.body, e), e), a = r.label.slice(1), n = e.sizeMultiplier, s, o = 0, h = I.isCharacterBox(r.body);
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  else if (a === "phase") {
    var c = K({
      number: 0.6,
      unit: "pt"
    }, e), p = K({
      number: 0.35,
      unit: "ex"
    }, e), g = e.havingBaseSizing();
    n = n / g.sizeMultiplier;
    var y = t.height + t.depth + c + p;
    t.style.paddingLeft = A(y / 2 + c);
    var w = Math.floor(1e3 * y * n), x = Oa(w), z = new D0([new P0("phase", x)], {
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      height: A(w / 1e3),
      viewBox: "0 0 400000 " + w,
      preserveAspectRatio: "xMinYMin slice"
    });
    s = b.makeSvgSpan(["hide-tail"], [z], e), s.style.height = A(y), o = t.depth + c + p;
  } else {
    /cancel/.test(a) ? h || t.classes.push("cancel-pad") : a === "angl" ? t.classes.push("anglpad") : t.classes.push("boxpad");
    var T = 0, C = 0, N = 0;
    /box/.test(a) ? (N = Math.max(
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      // default
      e.minRuleThickness
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    ), T = e.fontMetrics().fboxsep + (a === "colorbox" ? 0 : N), C = T) : a === "angl" ? (N = Math.max(e.fontMetrics().defaultRuleThickness, e.minRuleThickness), T = 4 * N, C = Math.max(0, 0.25 - t.depth)) : (T = h ? 0.2 : 0, C = T), s = N0.encloseSpan(t, a, T, C, e), /fbox|boxed|fcolorbox/.test(a) ? (s.style.borderStyle = "solid", s.style.borderWidth = A(N)) : a === "angl" && N !== 0.049 && (s.style.borderTopWidth = A(N), s.style.borderRightWidth = A(N)), o = t.depth + C, r.backgroundColor && (s.style.backgroundColor = r.backgroundColor, r.borderColor && (s.style.borderColor = r.borderColor));
  }
  var O;
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    O = b.makeVList({
      positionType: "individualShift",
      children: [
        // Put the color background behind inner;
        {
          type: "elem",
          elem: s,
          shift: o
        },
        {
          type: "elem",
          elem: t,
          shift: 0
        }
      ]
    }, e);
  else {
    var H = /cancel|phase/.test(a) ? ["svg-align"] : [];
    O = b.makeVList({
      positionType: "individualShift",
      children: [
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        {
          type: "elem",
          elem: t,
          shift: 0
        },
        {
          type: "elem",
          elem: s,
          shift: o,
          wrapperClasses: H
        }
      ]
    }, e);
  }
  return /cancel/.test(a) && (O.height = t.height, O.depth = t.depth), /cancel/.test(a) && !h ? b.makeSpan(["mord", "cancel-lap"], [O], e) : b.makeSpan(["mord"], [O], e);
}, St = (r, e) => {
  var t = 0, a = new S.MathNode(r.label.indexOf("colorbox") > -1 ? "mpadded" : "menclose", [X(r.body, e)]);
  switch (r.label) {
    case "\\cancel":
      a.setAttribute("notation", "updiagonalstrike");
      break;
    case "\\bcancel":
      a.setAttribute("notation", "downdiagonalstrike");
      break;
    case "\\phase":
      a.setAttribute("notation", "phasorangle");
      break;
    case "\\sout":
      a.setAttribute("notation", "horizontalstrike");
      break;
    case "\\fbox":
      a.setAttribute("notation", "box");
      break;
    case "\\angl":
      a.setAttribute("notation", "actuarial");
      break;
    case "\\fcolorbox":
    case "\\colorbox":
      if (t = e.fontMetrics().fboxsep * e.fontMetrics().ptPerEm, a.setAttribute("width", "+" + 2 * t + "pt"), a.setAttribute("height", "+" + 2 * t + "pt"), a.setAttribute("lspace", t + "pt"), a.setAttribute("voffset", t + "pt"), r.label === "\\fcolorbox") {
        var n = Math.max(
          e.fontMetrics().fboxrule,
          // default
          e.minRuleThickness
          // user override
        );
        a.setAttribute("style", "border: " + n + "em solid " + String(r.borderColor));
      }
      break;
    case "\\xcancel":
      a.setAttribute("notation", "updiagonalstrike downdiagonalstrike");
      break;
  }
  return r.backgroundColor && a.setAttribute("mathbackground", r.backgroundColor), a;
};
B({
  type: "enclose",
  names: ["\\colorbox"],
  props: {
    numArgs: 2,
    allowedInText: !0,
    argTypes: ["color", "text"]
  },
  handler(r, e, t) {
    var {
      parser: a,
      funcName: n
    } = r, s = F(e[0], "color-token").color, o = e[1];
    return {
      type: "enclose",
      mode: a.mode,
      label: n,
      backgroundColor: s,
      body: o
    };
  },
  htmlBuilder: kt,
  mathmlBuilder: St
});
B({
  type: "enclose",
  names: ["\\fcolorbox"],
  props: {
    numArgs: 3,
    allowedInText: !0,
    argTypes: ["color", "color", "text"]
  },
  handler(r, e, t) {
    var {
      parser: a,
      funcName: n
    } = r, s = F(e[0], "color-token").color, o = F(e[1], "color-token").color, h = e[2];
    return {
      type: "enclose",
      mode: a.mode,
      label: n,
      backgroundColor: o,
      borderColor: s,
      body: h
    };
  },
  htmlBuilder: kt,
  mathmlBuilder: St
});
B({
  type: "enclose",
  names: ["\\fbox"],
  props: {
    numArgs: 1,
    argTypes: ["hbox"],
    allowedInText: !0
  },
  handler(r, e) {
    var {
      parser: t
    } = r;
    return {
      type: "enclose",
      mode: t.mode,
      label: "\\fbox",
      body: e[0]
    };
  }
});
B({
  type: "enclose",
  names: ["\\cancel", "\\bcancel", "\\xcancel", "\\sout", "\\phase"],
  props: {
    numArgs: 1
  },
  handler(r, e) {
    var {
      parser: t,
      funcName: a
    } = r, n = e[0];
    return {
      type: "enclose",
      mode: t.mode,
      label: a,
      body: n
    };
  },
  htmlBuilder: kt,
  mathmlBuilder: St
});
B({
  type: "enclose",
  names: ["\\angl"],
  props: {
    numArgs: 1,
    argTypes: ["hbox"],
    allowedInText: !1
  },
  handler(r, e) {
    var {
      parser: t
    } = r;
    return {
      type: "enclose",
      mode: t.mode,
      label: "\\angl",
      body: e[0]
    };
  }
});
var $r = {};
function w0(r) {
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    type: e,
    names: t,
    props: a,
    handler: n,
    htmlBuilder: s,
    mathmlBuilder: o
  } = r, h = {
    type: e,
    numArgs: a.numArgs || 0,
    allowedInText: !1,
    numOptionalArgs: 0,
    handler: n
  }, c = 0; c < t.length; ++c)
    $r[t[c]] = h;
  s && (Ce[e] = s), o && (Ne[e] = o);
}
var Wr = {};
function m(r, e) {
  Wr[r] = e;
}
function Jt(r) {
  var e = [];
  r.consumeSpaces();
  var t = r.fetch().text;
  for (t === "\\relax" && (r.consume(), r.consumeSpaces(), t = r.fetch().text); t === "\\hline" || t === "\\hdashline"; )
    r.consume(), e.push(t === "\\hdashline"), r.consumeSpaces(), t = r.fetch().text;
  return e;
}
var Fe = (r) => {
  var e = r.parser.settings;
  if (!e.displayMode)
    throw new M("{" + r.envName + "} can be used only in display mode.");
};
function Mt(r) {
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    return r.indexOf("*") === -1;
}
function V0(r, e, t) {
  var {
    hskipBeforeAndAfter: a,
    addJot: n,
    cols: s,
    arraystretch: o,
    colSeparationType: h,
    autoTag: c,
    singleRow: p,
    emptySingleRow: g,
    maxNumCols: y,
    leqno: w
  } = e;
  if (r.gullet.beginGroup(), p || r.gullet.macros.set("\\cr", "\\\\\\relax"), !o) {
    var x = r.gullet.expandMacroAsText("\\arraystretch");
    if (x == null)
      o = 1;
    else if (o = parseFloat(x), !o || o < 0)
      throw new M("Invalid \\arraystretch: " + x);
  }
  r.gullet.beginGroup();
  var z = [], T = [z], C = [], N = [], O = c != null ? [] : void 0;
  function H() {
    c && r.gullet.macros.set("\\@eqnsw", "1", !0);
  }
  function V() {
    O && (r.gullet.macros.get("\\df@tag") ? (O.push(r.subparse([new x0("\\df@tag")])), r.gullet.macros.set("\\df@tag", void 0, !0)) : O.push(!!c && r.gullet.macros.get("\\@eqnsw") === "1"));
  }
  for (H(), N.push(Jt(r)); ; ) {
    var L = r.parseExpression(!1, p ? "\\end" : "\\\\");
    r.gullet.endGroup(), r.gullet.beginGroup(), L = {
      type: "ordgroup",
      mode: r.mode,
      body: L
    }, t && (L = {
      type: "styling",
      mode: r.mode,
      style: t,
      body: [L]
    }), z.push(L);
    var U = r.fetch().text;
    if (U === "&") {
      if (y && z.length === y) {
        if (p || h)
          throw new M("Too many tab characters: &", r.nextToken);
        r.settings.reportNonstrict("textEnv", "Too few columns specified in the {array} column argument.");
      }
      r.consume();
    } else if (U === "\\end") {
      V(), z.length === 1 && L.type === "styling" && L.body[0].body.length === 0 && (T.length > 1 || !g) && T.pop(), N.length < T.length + 1 && N.push([]);
      break;
    } else if (U === "\\\\") {
      r.consume();
      var G = void 0;
      r.gullet.future().text !== " " && (G = r.parseSizeGroup(!0)), C.push(G ? G.value : null), V(), N.push(Jt(r)), z = [], T.push(z), H();
    } else
      throw new M("Expected & or \\\\ or \\cr or \\end", r.nextToken);
  }
  return r.gullet.endGroup(), r.gullet.endGroup(), {
    type: "array",
    mode: r.mode,
    addJot: n,
    arraystretch: o,
    body: T,
    cols: s,
    rowGaps: C,
    hskipBeforeAndAfter: a,
    hLinesBeforeRow: N,
    colSeparationType: h,
    tags: O,
    leqno: w
  };
}
function zt(r) {
  return r.slice(0, 1) === "d" ? "display" : "text";
}
var k0 = function(e, t) {
  var a, n, s = e.body.length, o = e.hLinesBeforeRow, h = 0, c = new Array(s), p = [], g = Math.max(
    // From LaTeX \showthe\arrayrulewidth. Equals 0.04 em.
    t.fontMetrics().arrayRuleWidth,
    t.minRuleThickness
    // User override.
  ), y = 1 / t.fontMetrics().ptPerEm, w = 5 * y;
  if (e.colSeparationType && e.colSeparationType === "small") {
    var x = t.havingStyle(R.SCRIPT).sizeMultiplier;
    w = 0.2778 * (x / t.sizeMultiplier);
  }
  var z = e.colSeparationType === "CD" ? K({
    number: 3,
    unit: "ex"
  }, t) : 12 * y, T = 3 * y, C = e.arraystretch * z, N = 0.7 * C, O = 0.3 * C, H = 0;
  function V(pe) {
    for (var ve = 0; ve < pe.length; ++ve)
      ve > 0 && (H += 0.25), p.push({
        pos: H,
        isDashed: pe[ve]
      });
  }
  for (V(o[0]), a = 0; a < e.body.length; ++a) {
    var L = e.body[a], U = N, G = O;
    h < L.length && (h = L.length);
    var j = new Array(L.length);
    for (n = 0; n < L.length; ++n) {
      var Y = P(L[n], t);
      G < Y.depth && (G = Y.depth), U < Y.height && (U = Y.height), j[n] = Y;
    }
    var M0 = e.rowGaps[a], r0 = 0;
    M0 && (r0 = K(M0, t), r0 > 0 && (r0 += O, G < r0 && (G = r0), r0 = 0)), e.addJot && (G += T), j.height = U, j.depth = G, H += U, j.pos = H, H += G + r0, c[a] = j, V(o[a + 1]);
  }
  var e0 = H / 2 + t.fontMetrics().axisHeight, U0 = e.cols || [], s0 = [], v0, R0, W0 = [];
  if (e.tags && e.tags.some((pe) => pe))
    for (a = 0; a < s; ++a) {
      var j0 = c[a], Le = j0.pos - e0, E0 = e.tags[a], I0 = void 0;
      E0 === !0 ? I0 = b.makeSpan(["eqn-num"], [], t) : E0 === !1 ? I0 = b.makeSpan([], [], t) : I0 = b.makeSpan([], t0(E0, t, !0), t), I0.depth = j0.depth, I0.height = j0.height, W0.push({
        type: "elem",
        elem: I0,
        shift: Le
      });
    }
  for (
    n = 0, R0 = 0;
    // Continue while either there are more columns or more column
    // descriptions, so trailing separators don't get lost.
    n < h || R0 < U0.length;
    ++n, ++R0
  ) {
    for (var m0 = U0[R0] || {}, ae = !0; m0.type === "separator"; ) {
      if (ae || (v0 = b.makeSpan(["arraycolsep"], []), v0.style.width = A(t.fontMetrics().doubleRuleSep), s0.push(v0)), m0.separator === "|" || m0.separator === ":") {
        var Pe = m0.separator === "|" ? "solid" : "dashed", Z0 = b.makeSpan(["vertical-separator"], [], t);
        Z0.style.height = A(H), Z0.style.borderRightWidth = A(g), Z0.style.borderRightStyle = Pe, Z0.style.margin = "0 " + A(-g / 2);
        var qt = H - e0;
        qt && (Z0.style.verticalAlign = A(-qt)), s0.push(Z0);
      } else
        throw new M("Invalid separator type: " + m0.separator);
      R0++, m0 = U0[R0] || {}, ae = !1;
    }
    if (!(n >= h)) {
      var K0 = void 0;
      (n > 0 || e.hskipBeforeAndAfter) && (K0 = I.deflt(m0.pregap, w), K0 !== 0 && (v0 = b.makeSpan(["arraycolsep"], []), v0.style.width = A(K0), s0.push(v0)));
      var J0 = [];
      for (a = 0; a < s; ++a) {
        var de = c[a], fe = de[n];
        if (fe) {
          var ha = de.pos - e0;
          fe.depth = de.depth, fe.height = de.height, J0.push({
            type: "elem",
            elem: fe,
            shift: ha
          });
        }
      }
      J0 = b.makeVList({
        positionType: "individualShift",
        children: J0
      }, t), J0 = b.makeSpan(["col-align-" + (m0.align || "c")], [J0]), s0.push(J0), (n < h - 1 || e.hskipBeforeAndAfter) && (K0 = I.deflt(m0.postgap, w), K0 !== 0 && (v0 = b.makeSpan(["arraycolsep"], []), v0.style.width = A(K0), s0.push(v0)));
    }
  }
  if (c = b.makeSpan(["mtable"], s0), p.length > 0) {
    for (var ma = b.makeLineSpan("hline", t, g), ca = b.makeLineSpan("hdashline", t, g), Ge = [{
      type: "elem",
      elem: c,
      shift: 0
    }]; p.length > 0; ) {
      var Rt = p.pop(), Et = Rt.pos - e0;
      Rt.isDashed ? Ge.push({
        type: "elem",
        elem: ca,
        shift: Et
      }) : Ge.push({
        type: "elem",
        elem: ma,
        shift: Et
      });
    }
    c = b.makeVList({
      positionType: "individualShift",
      children: Ge
    }, t);
  }
  if (W0.length === 0)
    return b.makeSpan(["mord"], [c], t);
  var Ve = b.makeVList({
    positionType: "individualShift",
    children: W0
  }, t);
  return Ve = b.makeSpan(["tag"], [Ve], t), b.makeFragment([c, Ve]);
}, Y1 = {
  c: "center ",
  l: "left ",
  r: "right "
}, S0 = function(e, t) {
  for (var a = [], n = new S.MathNode("mtd", [], ["mtr-glue"]), s = new S.MathNode("mtd", [], ["mml-eqn-num"]), o = 0; o < e.body.length; o++) {
    for (var h = e.body[o], c = [], p = 0; p < h.length; p++)
      c.push(new S.MathNode("mtd", [X(h[p], t)]));
    e.tags && e.tags[o] && (c.unshift(n), c.push(n), e.leqno ? c.unshift(s) : c.push(s)), a.push(new S.MathNode("mtr", c));
  }
  var g = new S.MathNode("mtable", a), y = e.arraystretch === 0.5 ? 0.1 : 0.16 + e.arraystretch - 1 + (e.addJot ? 0.09 : 0);
  g.setAttribute("rowspacing", A(y));
  var w = "", x = "";
  if (e.cols && e.cols.length > 0) {
    var z = e.cols, T = "", C = !1, N = 0, O = z.length;
    z[0].type === "separator" && (w += "top ", N = 1), z[z.length - 1].type === "separator" && (w += "bottom ", O -= 1);
    for (var H = N; H < O; H++)
      z[H].type === "align" ? (x += Y1[z[H].align], C && (T += "none "), C = !0) : z[H].type === "separator" && C && (T += z[H].separator === "|" ? "solid " : "dashed ", C = !1);
    g.setAttribute("columnalign", x.trim()), /[sd]/.test(T) && g.setAttribute("columnlines", T.trim());
  }
  if (e.colSeparationType === "align") {
    for (var V = e.cols || [], L = "", U = 1; U < V.length; U++)
      L += U % 2 ? "0em " : "1em ";
    g.setAttribute("columnspacing", L.trim());
  } else
    e.colSeparationType === "alignat" || e.colSeparationType === "gather" ? g.setAttribute("columnspacing", "0em") : e.colSeparationType === "small" ? g.setAttribute("columnspacing", "0.2778em") : e.colSeparationType === "CD" ? g.setAttribute("columnspacing", "0.5em") : g.setAttribute("columnspacing", "1em");
  var G = "", j = e.hLinesBeforeRow;
  w += j[0].length > 0 ? "left " : "", w += j[j.length - 1].length > 0 ? "right " : "";
  for (var Y = 1; Y < j.length - 1; Y++)
    G += j[Y].length === 0 ? "none " : j[Y][0] ? "dashed " : "solid ";
  return /[sd]/.test(G) && g.setAttribute("rowlines", G.trim()), w !== "" && (g = new S.MathNode("menclose", [g]), g.setAttribute("notation", w.trim())), e.arraystretch && e.arraystretch < 1 && (g = new S.MathNode("mstyle", [g]), g.setAttribute("scriptlevel", "1")), g;
}, jr = function(e, t) {
  e.envName.indexOf("ed") === -1 && Fe(e);
  var a = [], n = e.envName.indexOf("at") > -1 ? "alignat" : "align", s = e.envName === "split", o = V0(e.parser, {
    cols: a,
    addJot: !0,
    autoTag: s ? void 0 : Mt(e.envName),
    emptySingleRow: !0,
    colSeparationType: n,
    maxNumCols: s ? 2 : void 0,
    leqno: e.parser.settings.leqno
  }, "display"), h, c = 0, p = {
    type: "ordgroup",
    mode: e.mode,
    body: []
  };
  if (t[0] && t[0].type === "ordgroup") {
    for (var g = "", y = 0; y < t[0].body.length; y++) {
      var w = F(t[0].body[y], "textord");
      g += w.text;
    }
    h = Number(g), c = h * 2;
  }
  var x = !c;
  o.body.forEach(function(N) {
    for (var O = 1; O < N.length; O += 2) {
      var H = F(N[O], "styling"), V = F(H.body[0], "ordgroup");
      V.body.unshift(p);
    }
    if (x)
      c < N.length && (c = N.length);
    else {
      var L = N.length / 2;
      if (h < L)
        throw new M("Too many math in a row: " + ("expected " + h + ", but got " + L), N[0]);
    }
  });
  for (var z = 0; z < c; ++z) {
    var T = "r", C = 0;
    z % 2 === 1 ? T = "l" : z > 0 && x && (C = 1), a[z] = {
      type: "align",
      align: T,
      pregap: C,
      postgap: 0
    };
  }
  return o.colSeparationType = x ? "align" : "alignat", o;
};
w0({
  type: "array",
  names: ["array", "darray"],
  props: {
    numArgs: 1
  },
  handler(r, e) {
    var t = Ie(e[0]), a = t ? [e[0]] : F(e[0], "ordgroup").body, n = a.map(function(o) {
      var h = yt(o), c = h.text;
      if ("lcr".indexOf(c) !== -1)
        return {
          type: "align",
          align: c
        };
      if (c === "|")
        return {
          type: "separator",
          separator: "|"
        };
      if (c === ":")
        return {
          type: "separator",
          separator: ":"
        };
      throw new M("Unknown column alignment: " + c, o);
    }), s = {
      cols: n,
      hskipBeforeAndAfter: !0,
      // \@preamble in lttab.dtx
      maxNumCols: n.length
    };
    return V0(r.parser, s, zt(r.envName));
  },
  htmlBuilder: k0,
  mathmlBuilder: S0
});
w0({
  type: "array",
  names: ["matrix", "pmatrix", "bmatrix", "Bmatrix", "vmatrix", "Vmatrix", "matrix*", "pmatrix*", "bmatrix*", "Bmatrix*", "vmatrix*", "Vmatrix*"],
  props: {
    numArgs: 0
  },
  handler(r) {
    var e = {
      matrix: null,
      pmatrix: ["(", ")"],
      bmatrix: ["[", "]"],
      Bmatrix: ["\\{", "\\}"],
      vmatrix: ["|", "|"],
      Vmatrix: ["\\Vert", "\\Vert"]
    }[r.envName.replace("*", "")], t = "c", a = {
      hskipBeforeAndAfter: !1,
      cols: [{
        type: "align",
        align: t
      }]
    };
    if (r.envName.charAt(r.envName.length - 1) === "*") {
      var n = r.parser;
      if (n.consumeSpaces(), n.fetch().text === "[") {
        if (n.consume(), n.consumeSpaces(), t = n.fetch().text, "lcr".indexOf(t) === -1)
          throw new M("Expected l or c or r", n.nextToken);
        n.consume(), n.consumeSpaces(), n.expect("]"), n.consume(), a.cols = [{
          type: "align",
          align: t
        }];
      }
    }
    var s = V0(r.parser, a, zt(r.envName)), o = Math.max(0, ...s.body.map((h) => h.length));
    return s.cols = new Array(o).fill({
      type: "align",
      align: t
    }), e ? {
      type: "leftright",
      mode: r.mode,
      body: [s],
      left: e[0],
      right: e[1],
      rightColor: void 0
      // \right uninfluenced by \color in array
    } : s;
  },
  htmlBuilder: k0,
  mathmlBuilder: S0
});
w0({
  type: "array",
  names: ["smallmatrix"],
  props: {
    numArgs: 0
  },
  handler(r) {
    var e = {
      arraystretch: 0.5
    }, t = V0(r.parser, e, "script");
    return t.colSeparationType = "small", t;
  },
  htmlBuilder: k0,
  mathmlBuilder: S0
});
w0({
  type: "array",
  names: ["subarray"],
  props: {
    numArgs: 1
  },
  handler(r, e) {
    var t = Ie(e[0]), a = t ? [e[0]] : F(e[0], "ordgroup").body, n = a.map(function(o) {
      var h = yt(o), c = h.text;
      if ("lc".indexOf(c) !== -1)
        return {
          type: "align",
          align: c
        };
      throw new M("Unknown column alignment: " + c, o);
    });
    if (n.length > 1)
      throw new M("{subarray} can contain only one column");
    var s = {
      cols: n,
      hskipBeforeAndAfter: !1,
      arraystretch: 0.5
    };
    if (s = V0(r.parser, s, "script"), s.body.length > 0 && s.body[0].length > 1)
      throw new M("{subarray} can contain only one column");
    return s;
  },
  htmlBuilder: k0,
  mathmlBuilder: S0
});
w0({
  type: "array",
  names: ["cases", "dcases", "rcases", "drcases"],
  props: {
    numArgs: 0
  },
  handler(r) {
    var e = {
      arraystretch: 1.2,
      cols: [{
        type: "align",
        align: "l",
        pregap: 0,
        // TODO(kevinb) get the current style.
        // For now we use the metrics for TEXT style which is what we were
        // doing before.  Before attempting to get the current style we
        // should look at TeX's behavior especially for \over and matrices.
        postgap: 1
        /* 1em quad */
      }, {
        type: "align",
        align: "l",
        pregap: 0,
        postgap: 0
      }]
    }, t = V0(r.parser, e, zt(r.envName));
    return {
      type: "leftright",
      mode: r.mode,
      body: [t],
      left: r.envName.indexOf("r") > -1 ? "." : "\\{",
      right: r.envName.indexOf("r") > -1 ? "\\}" : ".",
      rightColor: void 0
    };
  },
  htmlBuilder: k0,
  mathmlBuilder: S0
});
w0({
  type: "array",
  names: ["align", "align*", "aligned", "split"],
  props: {
    numArgs: 0
  },
  handler: jr,
  htmlBuilder: k0,
  mathmlBuilder: S0
});
w0({
  type: "array",
  names: ["gathered", "gather", "gather*"],
  props: {
    numArgs: 0
  },
  handler(r) {
    I.contains(["gather", "gather*"], r.envName) && Fe(r);
    var e = {
      cols: [{
        type: "align",
        align: "c"
      }],
      addJot: !0,
      colSeparationType: "gather",
      autoTag: Mt(r.envName),
      emptySingleRow: !0,
      leqno: r.parser.settings.leqno
    };
    return V0(r.parser, e, "display");
  },
  htmlBuilder: k0,
  mathmlBuilder: S0
});
w0({
  type: "array",
  names: ["alignat", "alignat*", "alignedat"],
  props: {
    numArgs: 1
  },
  handler: jr,
  htmlBuilder: k0,
  mathmlBuilder: S0
});
w0({
  type: "array",
  names: ["equation", "equation*"],
  props: {
    numArgs: 0
  },
  handler(r) {
    Fe(r);
    var e = {
      autoTag: Mt(r.envName),
      emptySingleRow: !0,
      singleRow: !0,
      maxNumCols: 1,
      leqno: r.parser.settings.leqno
    };
    return V0(r.parser, e, "display");
  },
  htmlBuilder: k0,
  mathmlBuilder: S0
});
w0({
  type: "array",
  names: ["CD"],
  props: {
    numArgs: 0
  },
  handler(r) {
    return Fe(r), C1(r.parser);
  },
  htmlBuilder: k0,
  mathmlBuilder: S0
});
m("\\nonumber", "\\gdef\\@eqnsw{0}");
m("\\notag", "\\nonumber");
B({
  type: "text",
  // Doesn't matter what this is.
  names: ["\\hline", "\\hdashline"],
  props: {
    numArgs: 0,
    allowedInText: !0,
    allowedInMath: !0
  },
  handler(r, e) {
    throw new M(r.funcName + " valid only within array environment");
  }
});
var Qt = $r;
B({
  type: "environment",
  names: ["\\begin", "\\end"],
  props: {
    numArgs: 1,
    argTypes: ["text"]
  },
  handler(r, e) {
    var {
      parser: t,
      funcName: a
    } = r, n = e[0];
    if (n.type !== "ordgroup")
      throw new M("Invalid environment name", n);
    for (var s = "", o = 0; o < n.body.length; ++o)
      s += F(n.body[o], "textord").text;
    if (a === "\\begin") {
      if (!Qt.hasOwnProperty(s))
        throw new M("No such environment: " + s, n);
      var h = Qt[s], {
        args: c,
        optArgs: p
      } = t.parseArguments("\\begin{" + s + "}", h), g = {
        mode: t.mode,
        envName: s,
        parser: t
      }, y = h.handler(g, c, p);
      t.expect("\\end", !1);
      var w = t.nextToken, x = F(t.parseFunction(), "environment");
      if (x.name !== s)
        throw new M("Mismatch: \\begin{" + s + "} matched by \\end{" + x.name + "}", w);
      return y;
    }
    return {
      type: "environment",
      mode: t.mode,
      name: s,
      nameGroup: n
    };
  }
});
var Zr = (r, e) => {
  var t = r.font, a = e.withFont(t);
  return P(r.body, a);
}, Kr = (r, e) => {
  var t = r.font, a = e.withFont(t);
  return X(r.body, a);
}, _t = {
  "\\Bbb": "\\mathbb",
  "\\bold": "\\mathbf",
  "\\frak": "\\mathfrak",
  "\\bm": "\\boldsymbol"
};
B({
  type: "font",
  names: [
    // styles, except \boldsymbol defined below
    "\\mathrm",
    "\\mathit",
    "\\mathbf",
    "\\mathnormal",
    // families
    "\\mathbb",
    "\\mathcal",
    "\\mathfrak",
    "\\mathscr",
    "\\mathsf",
    "\\mathtt",
    // aliases, except \bm defined below
    "\\Bbb",
    "\\bold",
    "\\frak"
  ],
  props: {
    numArgs: 1,
    allowedInArgument: !0
  },
  handler: (r, e) => {
    var {
      parser: t,
      funcName: a
    } = r, n = qe(e[0]), s = a;
    return s in _t && (s = _t[s]), {
      type: "font",
      mode: t.mode,
      font: s.slice(1),
      body: n
    };
  },
  htmlBuilder: Zr,
  mathmlBuilder: Kr
});
B({
  type: "mclass",
  names: ["\\boldsymbol", "\\bm"],
  props: {
    numArgs: 1
  },
  handler: (r, e) => {
    var {
      parser: t
    } = r, a = e[0], n = I.isCharacterBox(a);
    return {
      type: "mclass",
      mode: t.mode,
      mclass: Oe(a),
      body: [{
        type: "font",
        mode: t.mode,
        font: "boldsymbol",
        body: a
      }],
      isCharacterBox: n
    };
  }
});
B({
  type: "font",
  names: ["\\rm", "\\sf", "\\tt", "\\bf", "\\it", "\\cal"],
  props: {
    numArgs: 0,
    allowedInText: !0
  },
  handler: (r, e) => {
    var {
      parser: t,
      funcName: a,
      breakOnTokenText: n
    } = r, {
      mode: s
    } = t, o = t.parseExpression(!0, n), h = "math" + a.slice(1);
    return {
      type: "font",
      mode: s,
      font: h,
      body: {
        type: "ordgroup",
        mode: t.mode,
        body: o
      }
    };
  },
  htmlBuilder: Zr,
  mathmlBuilder: Kr
});
var Jr = (r, e) => {
  var t = e;
  return r === "display" ? t = t.id >= R.SCRIPT.id ? t.text() : R.DISPLAY : r === "text" && t.size === R.DISPLAY.size ? t = R.TEXT : r === "script" ? t = R.SCRIPT : r === "scriptscript" && (t = R.SCRIPTSCRIPT), t;
}, At = (r, e) => {
  var t = Jr(r.size, e.style), a = t.fracNum(), n = t.fracDen(), s;
  s = e.havingStyle(a);
  var o = P(r.numer, s, e);
  if (r.continued) {
    var h = 8.5 / e.fontMetrics().ptPerEm, c = 3.5 / e.fontMetrics().ptPerEm;
    o.height = o.height < h ? h : o.height, o.depth = o.depth < c ? c : o.depth;
  }
  s = e.havingStyle(n);
  var p = P(r.denom, s, e), g, y, w;
  r.hasBarLine ? (r.barSize ? (y = K(r.barSize, e), g = b.makeLineSpan("frac-line", e, y)) : g = b.makeLineSpan("frac-line", e), y = g.height, w = g.height) : (g = null, y = 0, w = e.fontMetrics().defaultRuleThickness);
  var x, z, T;
  t.size === R.DISPLAY.size || r.size === "display" ? (x = e.fontMetrics().num1, y > 0 ? z = 3 * w : z = 7 * w, T = e.fontMetrics().denom1) : (y > 0 ? (x = e.fontMetrics().num2, z = w) : (x = e.fontMetrics().num3, z = 3 * w), T = e.fontMetrics().denom2);
  var C;
  if (g) {
    var O = e.fontMetrics().axisHeight;
    x - o.depth - (O + 0.5 * y) < z && (x += z - (x - o.depth - (O + 0.5 * y))), O - 0.5 * y - (p.height - T) < z && (T += z - (O - 0.5 * y - (p.height - T)));
    var H = -(O - 0.5 * y);
    C = b.makeVList({
      positionType: "individualShift",
      children: [{
        type: "elem",
        elem: p,
        shift: T
      }, {
        type: "elem",
        elem: g,
        shift: H
      }, {
        type: "elem",
        elem: o,
        shift: -x
      }]
    }, e);
  } else {
    var N = x - o.depth - (p.height - T);
    N < z && (x += 0.5 * (z - N), T += 0.5 * (z - N)), C = b.makeVList({
      positionType: "individualShift",
      children: [{
        type: "elem",
        elem: p,
        shift: T
      }, {
        type: "elem",
        elem: o,
        shift: -x
      }]
    }, e);
  }
  s = e.havingStyle(t), C.height *= s.sizeMultiplier / e.sizeMultiplier, C.depth *= s.sizeMultiplier / e.sizeMultiplier;
  var V;
  t.size === R.DISPLAY.size ? V = e.fontMetrics().delim1 : t.size === R.SCRIPTSCRIPT.size ? V = e.havingStyle(R.SCRIPT).fontMetrics().delim2 : V = e.fontMetrics().delim2;
  var L, U;
  return r.leftDelim == null ? L = oe(e, ["mopen"]) : L = B0.customSizedDelim(r.leftDelim, V, !0, e.havingStyle(t), r.mode, ["mopen"]), r.continued ? U = b.makeSpan([]) : r.rightDelim == null ? U = oe(e, ["mclose"]) : U = B0.customSizedDelim(r.rightDelim, V, !0, e.havingStyle(t), r.mode, ["mclose"]), b.makeSpan(["mord"].concat(s.sizingClasses(e)), [L, b.makeSpan(["mfrac"], [C]), U], e);
}, Tt = (r, e) => {
  var t = new S.MathNode("mfrac", [X(r.numer, e), X(r.denom, e)]);
  if (!r.hasBarLine)
    t.setAttribute("linethickness", "0px");
  else if (r.barSize) {
    var a = K(r.barSize, e);
    t.setAttribute("linethickness", A(a));
  }
  var n = Jr(r.size, e.style);
  if (n.size !== e.style.size) {
    t = new S.MathNode("mstyle", [t]);
    var s = n.size === R.DISPLAY.size ? "true" : "false";
    t.setAttribute("displaystyle", s), t.setAttribute("scriptlevel", "0");
  }
  if (r.leftDelim != null || r.rightDelim != null) {
    var o = [];
    if (r.leftDelim != null) {
      var h = new S.MathNode("mo", [new S.TextNode(r.leftDelim.replace("\\", ""))]);
      h.setAttribute("fence", "true"), o.push(h);
    }
    if (o.push(t), r.rightDelim != null) {
      var c = new S.MathNode("mo", [new S.TextNode(r.rightDelim.replace("\\", ""))]);
      c.setAttribute("fence", "true"), o.push(c);
    }
    return gt(o);
  }
  return t;
};
B({
  type: "genfrac",
  names: [
    "\\dfrac",
    "\\frac",
    "\\tfrac",
    "\\dbinom",
    "\\binom",
    "\\tbinom",
    "\\\\atopfrac",
    // can’t be entered directly
    "\\\\bracefrac",
    "\\\\brackfrac"
    // ditto
  ],
  props: {
    numArgs: 2,
    allowedInArgument: !0
  },
  handler: (r, e) => {
    var {
      parser: t,
      funcName: a
    } = r, n = e[0], s = e[1], o, h = null, c = null, p = "auto";
    switch (a) {
      case "\\dfrac":
      case "\\frac":
      case "\\tfrac":
        o = !0;
        break;
      case "\\\\atopfrac":
        o = !1;
        break;
      case "\\dbinom":
      case "\\binom":
      case "\\tbinom":
        o = !1, h = "(", c = ")";
        break;
      case "\\\\bracefrac":
        o = !1, h = "\\{", c = "\\}";
        break;
      case "\\\\brackfrac":
        o = !1, h = "[", c = "]";
        break;
      default:
        throw new Error("Unrecognized genfrac command");
    }
    switch (a) {
      case "\\dfrac":
      case "\\dbinom":
        p = "display";
        break;
      case "\\tfrac":
      case "\\tbinom":
        p = "text";
        break;
    }
    return {
      type: "genfrac",
      mode: t.mode,
      continued: !1,
      numer: n,
      denom: s,
      hasBarLine: o,
      leftDelim: h,
      rightDelim: c,
      size: p,
      barSize: null
    };
  },
  htmlBuilder: At,
  mathmlBuilder: Tt
});
B({
  type: "genfrac",
  names: ["\\cfrac"],
  props: {
    numArgs: 2
  },
  handler: (r, e) => {
    var {
      parser: t,
      funcName: a
    } = r, n = e[0], s = e[1];
    return {
      type: "genfrac",
      mode: t.mode,
      continued: !0,
      numer: n,
      denom: s,
      hasBarLine: !0,
      leftDelim: null,
      rightDelim: null,
      size: "display",
      barSize: null
    };
  }
});
B({
  type: "infix",
  names: ["\\over", "\\choose", "\\atop", "\\brace", "\\brack"],
  props: {
    numArgs: 0,
    infix: !0
  },
  handler(r) {
    var {
      parser: e,
      funcName: t,
      token: a
    } = r, n;
    switch (t) {
      case "\\over":
        n = "\\frac";
        break;
      case "\\choose":
        n = "\\binom";
        break;
      case "\\atop":
        n = "\\\\atopfrac";
        break;
      case "\\brace":
        n = "\\\\bracefrac";
        break;
      case "\\brack":
        n = "\\\\brackfrac";
        break;
      default:
        throw new Error("Unrecognized infix genfrac command");
    }
    return {
      type: "infix",
      mode: e.mode,
      replaceWith: n,
      token: a
    };
  }
});
var er = ["display", "text", "script", "scriptscript"], tr = function(e) {
  var t = null;
  return e.length > 0 && (t = e, t = t === "." ? null : t), t;
};
B({
  type: "genfrac",
  names: ["\\genfrac"],
  props: {
    numArgs: 6,
    allowedInArgument: !0,
    argTypes: ["math", "math", "size", "text", "math", "math"]
  },
  handler(r, e) {
    var {
      parser: t
    } = r, a = e[4], n = e[5], s = qe(e[0]), o = s.type === "atom" && s.family === "open" ? tr(s.text) : null, h = qe(e[1]), c = h.type === "atom" && h.family === "close" ? tr(h.text) : null, p = F(e[2], "size"), g, y = null;
    p.isBlank ? g = !0 : (y = p.value, g = y.number > 0);
    var w = "auto", x = e[3];
    if (x.type === "ordgroup") {
      if (x.body.length > 0) {
        var z = F(x.body[0], "textord");
        w = er[Number(z.text)];
      }
    } else
      x = F(x, "textord"), w = er[Number(x.text)];
    return {
      type: "genfrac",
      mode: t.mode,
      numer: a,
      denom: n,
      continued: !1,
      hasBarLine: g,
      barSize: y,
      leftDelim: o,
      rightDelim: c,
      size: w
    };
  },
  htmlBuilder: At,
  mathmlBuilder: Tt
});
B({
  type: "infix",
  names: ["\\above"],
  props: {
    numArgs: 1,
    argTypes: ["size"],
    infix: !0
  },
  handler(r, e) {
    var {
      parser: t,
      funcName: a,
      token: n
    } = r;
    return {
      type: "infix",
      mode: t.mode,
      replaceWith: "\\\\abovefrac",
      size: F(e[0], "size").value,
      token: n
    };
  }
});
B({
  type: "genfrac",
  names: ["\\\\abovefrac"],
  props: {
    numArgs: 3,
    argTypes: ["math", "size", "math"]
  },
  handler: (r, e) => {
    var {
      parser: t,
      funcName: a
    } = r, n = e[0], s = wa(F(e[1], "infix").size), o = e[2], h = s.number > 0;
    return {
      type: "genfrac",
      mode: t.mode,
      numer: n,
      denom: o,
      continued: !1,
      hasBarLine: h,
      barSize: s,
      leftDelim: null,
      rightDelim: null,
      size: "auto"
    };
  },
  htmlBuilder: At,
  mathmlBuilder: Tt
});
var Qr = (r, e) => {
  var t = e.style, a, n;
  r.type === "supsub" ? (a = r.sup ? P(r.sup, e.havingStyle(t.sup()), e) : P(r.sub, e.havingStyle(t.sub()), e), n = F(r.base, "horizBrace")) : n = F(r, "horizBrace");
  var s = P(n.base, e.havingBaseStyle(R.DISPLAY)), o = N0.svgSpan(n, e), h;
  if (n.isOver ? (h = b.makeVList({
    positionType: "firstBaseline",
    children: [{
      type: "elem",
      elem: s
    }, {
      type: "kern",
      size: 0.1
    }, {
      type: "elem",
      elem: o
    }]
  }, e), h.children[0].children[0].children[1].classes.push("svg-align")) : (h = b.makeVList({
    positionType: "bottom",
    positionData: s.depth + 0.1 + o.height,
    children: [{
      type: "elem",
      elem: o
    }, {
      type: "kern",
      size: 0.1
    }, {
      type: "elem",
      elem: s
    }]
  }, e), h.children[0].children[0].children[0].classes.push("svg-align")), a) {
    var c = b.makeSpan(["mord", n.isOver ? "mover" : "munder"], [h], e);
    n.isOver ? h = b.makeVList({
      positionType: "firstBaseline",
      children: [{
        type: "elem",
        elem: c
      }, {
        type: "kern",
        size: 0.2
      }, {
        type: "elem",
        elem: a
      }]
    }, e) : h = b.makeVList({
      positionType: "bottom",
      positionData: c.depth + 0.2 + a.height + a.depth,
      children: [{
        type: "elem",
        elem: a
      }, {
        type: "kern",
        size: 0.2
      }, {
        type: "elem",
        elem: c
      }]
    }, e);
  }
  return b.makeSpan(["mord", n.isOver ? "mover" : "munder"], [h], e);
}, X1 = (r, e) => {
  var t = N0.mathMLnode(r.label);
  return new S.MathNode(r.isOver ? "mover" : "munder", [X(r.base, e), t]);
};
B({
  type: "horizBrace",
  names: ["\\overbrace", "\\underbrace"],
  props: {
    numArgs: 1
  },
  handler(r, e) {
    var {
      parser: t,
      funcName: a
    } = r;
    return {
      type: "horizBrace",
      mode: t.mode,
      label: a,
      isOver: /^\\over/.test(a),
      base: e[0]
    };
  },
  htmlBuilder: Qr,
  mathmlBuilder: X1
});
B({
  type: "href",
  names: ["\\href"],
  props: {
    numArgs: 2,
    argTypes: ["url", "original"],
    allowedInText: !0
  },
  handler: (r, e) => {
    var {
      parser: t
    } = r, a = e[1], n = F(e[0], "url").url;
    return t.settings.isTrusted({
      command: "\\href",
      url: n
    }) ? {
      type: "href",
      mode: t.mode,
      href: n,
      body: Q(a)
    } : t.formatUnsupportedCmd("\\href");
  },
  htmlBuilder: (r, e) => {
    var t = t0(r.body, e, !1);
    return b.makeAnchor(r.href, [], t, e);
  },
  mathmlBuilder: (r, e) => {
    var t = G0(r.body, e);
    return t instanceof c0 || (t = new c0("mrow", [t])), t.setAttribute("href", r.href), t;
  }
});
B({
  type: "href",
  names: ["\\url"],
  props: {
    numArgs: 1,
    argTypes: ["url"],
    allowedInText: !0
  },
  handler: (r, e) => {
    var {
      parser: t
    } = r, a = F(e[0], "url").url;
    if (!t.settings.isTrusted({
      command: "\\url",
      url: a
    }))
      return t.formatUnsupportedCmd("\\url");
    for (var n = [], s = 0; s < a.length; s++) {
      var o = a[s];
      o === "~" && (o = "\\textasciitilde"), n.push({
        type: "textord",
        mode: "text",
        text: o
      });
    }
    var h = {
      type: "text",
      mode: t.mode,
      font: "\\texttt",
      body: n
    };
    return {
      type: "href",
      mode: t.mode,
      href: a,
      body: Q(h)
    };
  }
});
B({
  type: "hbox",
  names: ["\\hbox"],
  props: {
    numArgs: 1,
    argTypes: ["text"],
    allowedInText: !0,
    primitive: !0
  },
  handler(r, e) {
    var {
      parser: t
    } = r;
    return {
      type: "hbox",
      mode: t.mode,
      body: Q(e[0])
    };
  },
  htmlBuilder(r, e) {
    var t = t0(r.body, e, !1);
    return b.makeFragment(t);
  },
  mathmlBuilder(r, e) {
    return new S.MathNode("mrow", o0(r.body, e));
  }
});
B({
  type: "html",
  names: ["\\htmlClass", "\\htmlId", "\\htmlStyle", "\\htmlData"],
  props: {
    numArgs: 2,
    argTypes: ["raw", "original"],
    allowedInText: !0
  },
  handler: (r, e) => {
    var {
      parser: t,
      funcName: a,
      token: n
    } = r, s = F(e[0], "raw").string, o = e[1];
    t.settings.strict && t.settings.reportNonstrict("htmlExtension", "HTML extension is disabled on strict mode");
    var h, c = {};
    switch (a) {
      case "\\htmlClass":
        c.class = s, h = {
          command: "\\htmlClass",
          class: s
        };
        break;
      case "\\htmlId":
        c.id = s, h = {
          command: "\\htmlId",
          id: s
        };
        break;
      case "\\htmlStyle":
        c.style = s, h = {
          command: "\\htmlStyle",
          style: s
        };
        break;
      case "\\htmlData": {
        for (var p = s.split(","), g = 0; g < p.length; g++) {
          var y = p[g].split("=");
          if (y.length !== 2)
            throw new M("Error parsing key-value for \\htmlData");
          c["data-" + y[0].trim()] = y[1].trim();
        }
        h = {
          command: "\\htmlData",
          attributes: c
        };
        break;
      }
      default:
        throw new Error("Unrecognized html command");
    }
    return t.settings.isTrusted(h) ? {
      type: "html",
      mode: t.mode,
      attributes: c,
      body: Q(o)
    } : t.formatUnsupportedCmd(a);
  },
  htmlBuilder: (r, e) => {
    var t = t0(r.body, e, !1), a = ["enclosing"];
    r.attributes.class && a.push(...r.attributes.class.trim().split(/\s+/));
    var n = b.makeSpan(a, t, e);
    for (var s in r.attributes)
      s !== "class" && r.attributes.hasOwnProperty(s) && n.setAttribute(s, r.attributes[s]);
    return n;
  },
  mathmlBuilder: (r, e) => G0(r.body, e)
});
B({
  type: "htmlmathml",
  names: ["\\html@mathml"],
  props: {
    numArgs: 2,
    allowedInText: !0
  },
  handler: (r, e) => {
    var {
      parser: t
    } = r;
    return {
      type: "htmlmathml",
      mode: t.mode,
      html: Q(e[0]),
      mathml: Q(e[1])
    };
  },
  htmlBuilder: (r, e) => {
    var t = t0(r.html, e, !1);
    return b.makeFragment(t);
  },
  mathmlBuilder: (r, e) => G0(r.mathml, e)
});
var _e = function(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 M("Invalid size: '" + e + "' in \\includegraphics");
  var a = {
    number: +(t[1] + t[2]),
    // sign + magnitude, cast to number
    unit: t[3]
  };
  if (!gr(a))
    throw new M("Invalid unit: '" + a.unit + "' in \\includegraphics.");
  return a;
};
B({
  type: "includegraphics",
  names: ["\\includegraphics"],
  props: {
    numArgs: 1,
    numOptionalArgs: 1,
    argTypes: ["raw", "url"],
    allowedInText: !1
  },
  handler: (r, e, t) => {
    var {
      parser: a
    } = r, n = {
      number: 0,
      unit: "em"
    }, s = {
      number: 0.9,
      unit: "em"
    }, o = {
      number: 0,
      unit: "em"
    }, h = "";
    if (t[0])
      for (var c = F(t[0], "raw").string, p = c.split(","), g = 0; g < p.length; g++) {
        var y = p[g].split("=");
        if (y.length === 2) {
          var w = y[1].trim();
          switch (y[0].trim()) {
            case "alt":
              h = w;
              break;
            case "width":
              n = _e(w);
              break;
            case "height":
              s = _e(w);
              break;
            case "totalheight":
              o = _e(w);
              break;
            default:
              throw new M("Invalid key: '" + y[0] + "' in \\includegraphics.");
          }
        }
      }
    var x = F(e[0], "url").url;
    return h === "" && (h = x, h = h.replace(/^.*[\\/]/, ""), h = h.substring(0, h.lastIndexOf("."))), a.settings.isTrusted({
      command: "\\includegraphics",
      url: x
    }) ? {
      type: "includegraphics",
      mode: a.mode,
      alt: h,
      width: n,
      height: s,
      totalheight: o,
      src: x
    } : a.formatUnsupportedCmd("\\includegraphics");
  },
  htmlBuilder: (r, e) => {
    var t = K(r.height, e), a = 0;
    r.totalheight.number > 0 && (a = K(r.totalheight, e) - t);
    var n = 0;
    r.width.number > 0 && (n = K(r.width, e));
    var s = {
      height: A(t + a)
    };
    n > 0 && (s.width = A(n)), a > 0 && (s.verticalAlign = A(-a));
    var o = new Xa(r.src, r.alt, s);
    return o.height = t, o.depth = a, o;
  },
  mathmlBuilder: (r, e) => {
    var t = new S.MathNode("mglyph", []);
    t.setAttribute("alt", r.alt);
    var a = K(r.height, e), n = 0;
    if (r.totalheight.number > 0 && (n = K(r.totalheight, e) - a, t.setAttribute("valign", A(-n))), t.setAttribute("height", A(a + n)), r.width.number > 0) {
      var s = K(r.width, e);
      t.setAttribute("width", A(s));
    }
    return t.setAttribute("src", r.src), t;
  }
});
B({
  type: "kern",
  names: ["\\kern", "\\mkern", "\\hskip", "\\mskip"],
  props: {
    numArgs: 1,
    argTypes: ["size"],
    primitive: !0,
    allowedInText: !0
  },
  handler(r, e) {
    var {
      parser: t,
      funcName: a
    } = r, n = F(e[0], "size");
    if (t.settings.strict) {
      var s = a[1] === "m", o = n.value.unit === "mu";
      s ? (o || t.settings.reportNonstrict("mathVsTextUnits", "LaTeX's " + a + " supports only mu units, " + ("not " + n.value.unit + " units")), t.mode !== "math" && t.settings.reportNonstrict("mathVsTextUnits", "LaTeX's " + a + " works only in math mode")) : o && t.settings.reportNonstrict("mathVsTextUnits", "LaTeX's " + a + " doesn't support mu units");
    }
    return {
      type: "kern",
      mode: t.mode,
      dimension: n.value
    };
  },
  htmlBuilder(r, e) {
    return b.makeGlue(r.dimension, e);
  },
  mathmlBuilder(r, e) {
    var t = K(r.dimension, e);
    return new S.SpaceNode(t);
  }
});
B({
  type: "lap",
  names: ["\\mathllap", "\\mathrlap", "\\mathclap"],
  props: {
    numArgs: 1,
    allowedInText: !0
  },
  handler: (r, e) => {
    var {
      parser: t,
      funcName: a
    } = r, n = e[0];
    return {
      type: "lap",
      mode: t.mode,
      alignment: a.slice(5),
      body: n
    };
  },
  htmlBuilder: (r, e) => {
    var t;
    r.alignment === "clap" ? (t = b.makeSpan([], [P(r.body, e)]), t = b.makeSpan(["inner"], [t], e)) : t = b.makeSpan(["inner"], [P(r.body, e)]);
    var a = b.makeSpan(["fix"], []), n = b.makeSpan([r.alignment], [t, a], e), s = b.makeSpan(["strut"]);
    return s.style.height = A(n.height + n.depth), n.depth && (s.style.verticalAlign = A(-n.depth)), n.children.unshift(s), n = b.makeSpan(["thinbox"], [n], e), b.makeSpan(["mord", "vbox"], [n], e);
  },
  mathmlBuilder: (r, e) => {
    var t = new S.MathNode("mpadded", [X(r.body, e)]);
    if (r.alignment !== "rlap") {
      var a = r.alignment === "llap" ? "-1" : "-0.5";
      t.setAttribute("lspace", a + "width");
    }
    return t.setAttribute("width", "0px"), t;
  }
});
B({
  type: "styling",
  names: ["\\(", "$"],
  props: {
    numArgs: 0,
    allowedInText: !0,
    allowedInMath: !1
  },
  handler(r, e) {
    var {
      funcName: t,
      parser: a
    } = r, n = a.mode;
    a.switchMode("math");
    var s = t === "\\(" ? "\\)" : "$", o = a.parseExpression(!1, s);
    return a.expect(s), a.switchMode(n), {
      type: "styling",
      mode: a.mode,
      style: "text",
      body: o
    };
  }
});
B({
  type: "text",
  // Doesn't matter what this is.
  names: ["\\)", "\\]"],
  props: {
    numArgs: 0,
    allowedInText: !0,
    allowedInMath: !1
  },
  handler(r, e) {
    throw new M("Mismatched " + r.funcName);
  }
});
var rr = (r, e) => {
  switch (e.style.size) {
    case R.DISPLAY.size:
      return r.display;
    case R.TEXT.size:
      return r.text;
    case R.SCRIPT.size:
      return r.script;
    case R.SCRIPTSCRIPT.size:
      return r.scriptscript;
    default:
      return r.text;
  }
};
B({
  type: "mathchoice",
  names: ["\\mathchoice"],
  props: {
    numArgs: 4,
    primitive: !0
  },
  handler: (r, e) => {
    var {
      parser: t
    } = r;
    return {
      type: "mathchoice",
      mode: t.mode,
      display: Q(e[0]),
      text: Q(e[1]),
      script: Q(e[2]),
      scriptscript: Q(e[3])
    };
  },
  htmlBuilder: (r, e) => {
    var t = rr(r, e), a = t0(t, e, !1);
    return b.makeFragment(a);
  },
  mathmlBuilder: (r, e) => {
    var t = rr(r, e);
    return G0(t, e);
  }
});
var _r = (r, e, t, a, n, s, o) => {
  r = b.makeSpan([], [r]);
  var h = t && I.isCharacterBox(t), c, p;
  if (e) {
    var g = P(e, a.havingStyle(n.sup()), a);
    p = {
      elem: g,
      kern: Math.max(a.fontMetrics().bigOpSpacing1, a.fontMetrics().bigOpSpacing3 - g.depth)
    };
  }
  if (t) {
    var y = P(t, a.havingStyle(n.sub()), a);
    c = {
      elem: y,
      kern: Math.max(a.fontMetrics().bigOpSpacing2, a.fontMetrics().bigOpSpacing4 - y.height)
    };
  }
  var w;
  if (p && c) {
    var x = a.fontMetrics().bigOpSpacing5 + c.elem.height + c.elem.depth + c.kern + r.depth + o;
    w = b.makeVList({
      positionType: "bottom",
      positionData: x,
      children: [{
        type: "kern",
        size: a.fontMetrics().bigOpSpacing5
      }, {
        type: "elem",
        elem: c.elem,
        marginLeft: A(-s)
      }, {
        type: "kern",
        size: c.kern
      }, {
        type: "elem",
        elem: r
      }, {
        type: "kern",
        size: p.kern
      }, {
        type: "elem",
        elem: p.elem,
        marginLeft: A(s)
      }, {
        type: "kern",
        size: a.fontMetrics().bigOpSpacing5
      }]
    }, a);
  } else if (c) {
    var z = r.height - o;
    w = b.makeVList({
      positionType: "top",
      positionData: z,
      children: [{
        type: "kern",
        size: a.fontMetrics().bigOpSpacing5
      }, {
        type: "elem",
        elem: c.elem,
        marginLeft: A(-s)
      }, {
        type: "kern",
        size: c.kern
      }, {
        type: "elem",
        elem: r
      }]
    }, a);
  } else if (p) {
    var T = r.depth + o;
    w = b.makeVList({
      positionType: "bottom",
      positionData: T,
      children: [{
        type: "elem",
        elem: r
      }, {
        type: "kern",
        size: p.kern
      }, {
        type: "elem",
        elem: p.elem,
        marginLeft: A(s)
      }, {
        type: "kern",
        size: a.fontMetrics().bigOpSpacing5
      }]
    }, a);
  } else
    return r;
  var C = [w];
  if (c && s !== 0 && !h) {
    var N = b.makeSpan(["mspace"], [], a);
    N.style.marginRight = A(s), C.unshift(N);
  }
  return b.makeSpan(["mop", "op-limits"], C, a);
}, ea = ["\\smallint"], re = (r, e) => {
  var t, a, n = !1, s;
  r.type === "supsub" ? (t = r.sup, a = r.sub, s = F(r.base, "op"), n = !0) : s = F(r, "op");
  var o = e.style, h = !1;
  o.size === R.DISPLAY.size && s.symbol && !I.contains(ea, s.name) && (h = !0);
  var c;
  if (s.symbol) {
    var p = h ? "Size2-Regular" : "Size1-Regular", g = "";
    if ((s.name === "\\oiint" || s.name === "\\oiiint") && (g = s.name.slice(1), s.name = g === "oiint" ? "\\iint" : "\\iiint"), c = b.makeSymbol(s.name, p, "math", e, ["mop", "op-symbol", h ? "large-op" : "small-op"]), g.length > 0) {
      var y = c.italic, w = b.staticSvg(g + "Size" + (h ? "2" : "1"), e);
      c = b.makeVList({
        positionType: "individualShift",
        children: [{
          type: "elem",
          elem: c,
          shift: 0
        }, {
          type: "elem",
          elem: w,
          shift: h ? 0.08 : 0
        }]
      }, e), s.name = "\\" + g, c.classes.unshift("mop"), c.italic = y;
    }
  } else if (s.body) {
    var x = t0(s.body, e, !0);
    x.length === 1 && x[0] instanceof f0 ? (c = x[0], c.classes[0] = "mop") : c = b.makeSpan(["mop"], x, e);
  } else {
    for (var z = [], T = 1; T < s.name.length; T++)
      z.push(b.mathsym(s.name[T], s.mode, e));
    c = b.makeSpan(["mop"], z, e);
  }
  var C = 0, N = 0;
  return (c instanceof f0 || s.name === "\\oiint" || s.name === "\\oiiint") && !s.suppressBaseShift && (C = (c.height - c.depth) / 2 - e.fontMetrics().axisHeight, N = c.italic), n ? _r(c, t, a, e, o, N, C) : (C && (c.style.position = "relative", c.style.top = A(C)), c);
}, ce = (r, e) => {
  var t;
  if (r.symbol)
    t = new c0("mo", [p0(r.name, r.mode)]), I.contains(ea, r.name) && t.setAttribute("largeop", "false");
  else if (r.body)
    t = new c0("mo", o0(r.body, e));
  else {
    t = new c0("mi", [new ie(r.name.slice(1))]);
    var a = new c0("mo", [p0("⁡", "text")]);
    r.parentIsSupSub ? t = new c0("mrow", [t, a]) : t = Br([t, a]);
  }
  return t;
}, $1 = {
  "∏": "\\prod",
  "∐": "\\coprod",
  "∑": "\\sum",
  "⋀": "\\bigwedge",
  "⋁": "\\bigvee",
  "⋂": "\\bigcap",
  "⋃": "\\bigcup",
  "⨀": "\\bigodot",
  "⨁": "\\bigoplus",
  "⨂": "\\bigotimes",
  "⨄": "\\biguplus",
  "⨆": "\\bigsqcup"
};
B({
  type: "op",
  names: ["\\coprod", "\\bigvee", "\\bigwedge", "\\biguplus", "\\bigcap", "\\bigcup", "\\intop", "\\prod", "\\sum", "\\bigotimes", "\\bigoplus", "\\bigodot", "\\bigsqcup", "\\smallint", "∏", "∐", "∑", "⋀", "⋁", "⋂", "⋃", "⨀", "⨁", "⨂", "⨄", "⨆"],
  props: {
    numArgs: 0
  },
  handler: (r, e) => {
    var {
      parser: t,
      funcName: a
    } = r, n = a;
    return n.length === 1 && (n = $1[n]), {
      type: "op",
      mode: t.mode,
      limits: !0,
      parentIsSupSub: !1,
      symbol: !0,
      name: n
    };
  },
  htmlBuilder: re,
  mathmlBuilder: ce
});
B({
  type: "op",
  names: ["\\mathop"],
  props: {
    numArgs: 1,
    primitive: !0
  },
  handler: (r, e) => {
    var {
      parser: t
    } = r, a = e[0];
    return {
      type: "op",
      mode: t.mode,
      limits: !1,
      parentIsSupSub: !1,
      symbol: !1,
      body: Q(a)
    };
  },
  htmlBuilder: re,
  mathmlBuilder: ce
});
var W1 = {
  "∫": "\\int",
  "∬": "\\iint",
  "∭": "\\iiint",
  "∮": "\\oint",
  "∯": "\\oiint",
  "∰": "\\oiiint"
};
B({
  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(r) {
    var {
      parser: e,
      funcName: t
    } = r;
    return {
      type: "op",
      mode: e.mode,
      limits: !1,
      parentIsSupSub: !1,
      symbol: !1,
      name: t
    };
  },
  htmlBuilder: re,
  mathmlBuilder: ce
});
B({
  type: "op",
  names: ["\\det", "\\gcd", "\\inf", "\\lim", "\\max", "\\min", "\\Pr", "\\sup"],
  props: {
    numArgs: 0
  },
  handler(r) {
    var {
      parser: e,
      funcName: t
    } = r;
    return {
      type: "op",
      mode: e.mode,
      limits: !0,
      parentIsSupSub: !1,
      symbol: !1,
      name: t
    };
  },
  htmlBuilder: re,
  mathmlBuilder: ce
});
B({
  type: "op",
  names: ["\\int", "\\iint", "\\iiint", "\\oint", "\\oiint", "\\oiiint", "∫", "∬", "∭", "∮", "∯", "∰"],
  props: {
    numArgs: 0
  },
  handler(r) {
    var {
      parser: e,
      funcName: t
    } = r, a = t;
    return a.length === 1 && (a = W1[a]), {
      type: "op",
      mode: e.mode,
      limits: !1,
      parentIsSupSub: !1,
      symbol: !0,
      name: a
    };
  },
  htmlBuilder: re,
  mathmlBuilder: ce
});
var ta = (r, e) => {
  var t, a, n = !1, s;
  r.type === "supsub" ? (t = r.sup, a = r.sub, s = F(r.base, "operatorname"), n = !0) : s = F(r, "operatorname");
  var o;
  if (s.body.length > 0) {
    for (var h = s.body.map((y) => {
      var w = y.text;
      return typeof w == "string" ? {
        type: "textord",
        mode: y.mode,
        text: w
      } : y;
    }), c = t0(h, e.withFont("mathrm"), !0), p = 0; p < c.length; p++) {
      var g = c[p];
      g instanceof f0 && (g.text = g.text.replace(/\u2212/, "-").replace(/\u2217/, "*"));
    }
    o = b.makeSpan(["mop"], c, e);
  } else
    o = b.makeSpan(["mop"], [], e);
  return n ? _r(o, t, a, e, e.style, 0, 0) : o;
}, j1 = (r, e) => {
  for (var t = o0(r.body, e.withFont("mathrm")), a = !0, n = 0; n < t.length; n++) {
    var s = t[n];
    if (!(s instanceof S.SpaceNode))
      if (s instanceof S.MathNode)
        switch (s.type) {
          case "mi":
          case "mn":
          case "ms":
          case "mspace":
          case "mtext":
            break;
          case "mo": {
            var o = s.children[0];
            s.children.length === 1 && o instanceof S.TextNode ? o.text = o.text.replace(/\u2212/, "-").replace(/\u2217/, "*") : a = !1;
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          }
          default:
            a = !1;
        }
      else
        a = !1;
  }
  if (a) {
    var h = t.map((g) => g.toText()).join("");
    t = [new S.TextNode(h)];
  }
  var c = new S.MathNode("mi", t);
  c.setAttribute("mathvariant", "normal");
  var p = new S.MathNode("mo", [p0("⁡", "text")]);
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};
B({
  type: "operatorname",
  names: ["\\operatorname@", "\\operatornamewithlimits"],
  props: {
    numArgs: 1
  },
  handler: (r, e) => {
    var {
      parser: t,
      funcName: a
    } = r, n = e[0];
    return {
      type: "operatorname",
      mode: t.mode,
      body: Q(n),
      alwaysHandleSupSub: a === "\\operatornamewithlimits",
      limits: !1,
      parentIsSupSub: !1
    };
  },
  htmlBuilder: ta,
  mathmlBuilder: j1
});
m("\\operatorname", "\\@ifstar\\operatornamewithlimits\\operatorname@");
$0({
  type: "ordgroup",
  htmlBuilder(r, e) {
    return r.semisimple ? b.makeFragment(t0(r.body, e, !1)) : b.makeSpan(["mord"], t0(r.body, e, !0), e);
  },
  mathmlBuilder(r, e) {
    return G0(r.body, e, !0);
  }
});
B({
  type: "overline",
  names: ["\\overline"],
  props: {
    numArgs: 1
  },
  handler(r, e) {
    var {
      parser: t
    } = r, a = e[0];
    return {
      type: "overline",
      mode: t.mode,
      body: a
    };
  },
  htmlBuilder(r, e) {
    var t = P(r.body, e.havingCrampedStyle()), a = b.makeLineSpan("overline-line", e), n = e.fontMetrics().defaultRuleThickness, s = b.makeVList({
      positionType: "firstBaseline",
      children: [{
        type: "elem",
        elem: t
      }, {
        type: "kern",
        size: 3 * n
      }, {
        type: "elem",
        elem: a
      }, {
        type: "kern",
        size: n
      }]
    }, e);
    return b.makeSpan(["mord", "overline"], [s], e);
  },
  mathmlBuilder(r, e) {
    var t = new S.MathNode("mo", [new S.TextNode("‾")]);
    t.setAttribute("stretchy", "true");
    var a = new S.MathNode("mover", [X(r.body, e), t]);
    return a.setAttribute("accent", "true"), a;
  }
});
B({
  type: "phantom",
  names: ["\\phantom"],
  props: {
    numArgs: 1,
    allowedInText: !0
  },
  handler: (r, e) => {
    var {
      parser: t
    } = r, a = e[0];
    return {
      type: "phantom",
      mode: t.mode,
      body: Q(a)
    };
  },
  htmlBuilder: (r, e) => {
    var t = t0(r.body, e.withPhantom(), !1);
    return b.makeFragment(t);
  },
  mathmlBuilder: (r, e) => {
    var t = o0(r.body, e);
    return new S.MathNode("mphantom", t);
  }
});
B({
  type: "hphantom",
  names: ["\\hphantom"],
  props: {
    numArgs: 1,
    allowedInText: !0
  },
  handler: (r, e) => {
    var {
      parser: t
    } = r, a = e[0];
    return {
      type: "hphantom",
      mode: t.mode,
      body: a
    };
  },
  htmlBuilder: (r, e) => {
    var t = b.makeSpan([], [P(r.body, e.withPhantom())]);
    if (t.height = 0, t.depth = 0, t.children)
      for (var a = 0; a < t.children.length; a++)
        t.children[a].height = 0, t.children[a].depth = 0;
    return t = b.makeVList({
      positionType: "firstBaseline",
      children: [{
        type: "elem",
        elem: t
      }]
    }, e), b.makeSpan(["mord"], [t], e);
  },
  mathmlBuilder: (r, e) => {
    var t = o0(Q(r.body), e), a = new S.MathNode("mphantom", t), n = new S.MathNode("mpadded", [a]);
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  }
});
B({
  type: "vphantom",
  names: ["\\vphantom"],
  props: {
    numArgs: 1,
    allowedInText: !0
  },
  handler: (r, e) => {
    var {
      parser: t
    } = r, a = e[0];
    return {
      type: "vphantom",
      mode: t.mode,
      body: a
    };
  },
  htmlBuilder: (r, e) => {
    var t = b.makeSpan(["inner"], [P(r.body, e.withPhantom())]), a = b.makeSpan(["fix"], []);
    return b.makeSpan(["mord", "rlap"], [t, a], e);
  },
  mathmlBuilder: (r, e) => {
    var t = o0(Q(r.body), e), a = new S.MathNode("mphantom", t), n = new S.MathNode("mpadded", [a]);
    return n.setAttribute("width", "0px"), n;
  }
});
B({
  type: "raisebox",
  names: ["\\raisebox"],
  props: {
    numArgs: 2,
    argTypes: ["size", "hbox"],
    allowedInText: !0
  },
  handler(r, e) {
    var {
      parser: t
    } = r, a = F(e[0], "size").value, n = e[1];
    return {
      type: "raisebox",
      mode: t.mode,
      dy: a,
      body: n
    };
  },
  htmlBuilder(r, e) {
    var t = P(r.body, e), a = K(r.dy, e);
    return b.makeVList({
      positionType: "shift",
      positionData: -a,
      children: [{
        type: "elem",
        elem: t
      }]
    }, e);
  },
  mathmlBuilder(r, e) {
    var t = new S.MathNode("mpadded", [X(r.body, e)]), a = r.dy.number + r.dy.unit;
    return t.setAttribute("voffset", a), t;
  }
});
B({
  type: "internal",
  names: ["\\relax"],
  props: {
    numArgs: 0,
    allowedInText: !0
  },
  handler(r) {
    var {
      parser: e
    } = r;
    return {
      type: "internal",
      mode: e.mode
    };
  }
});
B({
  type: "rule",
  names: ["\\rule"],
  props: {
    numArgs: 2,
    numOptionalArgs: 1,
    argTypes: ["size", "size", "size"]
  },
  handler(r, e, t) {
    var {
      parser: a
    } = r, n = t[0], s = F(e[0], "size"), o = F(e[1], "size");
    return {
      type: "rule",
      mode: a.mode,
      shift: n && F(n, "size").value,
      width: s.value,
      height: o.value
    };
  },
  htmlBuilder(r, e) {
    var t = b.makeSpan(["mord", "rule"], [], e), a = K(r.width, e), n = K(r.height, e), s = r.shift ? K(r.shift, e) : 0;
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  },
  mathmlBuilder(r, e) {
    var t = K(r.width, e), a = K(r.height, e), n = r.shift ? K(r.shift, e) : 0, s = e.color && e.getColor() || "black", o = new S.MathNode("mspace");
    o.setAttribute("mathbackground", s), o.setAttribute("width", A(t)), o.setAttribute("height", A(a));
    var h = new S.MathNode("mpadded", [o]);
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});
function ra(r, e, t) {
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    var o = a[s].classes.indexOf("sizing");
    o < 0 ? Array.prototype.push.apply(a[s].classes, e.sizingClasses(t)) : a[s].classes[o + 1] === "reset-size" + e.size && (a[s].classes[o + 1] = "reset-size" + t.size), a[s].height *= n, a[s].depth *= n;
  }
  return b.makeFragment(a);
}
var ar = ["\\tiny", "\\sixptsize", "\\scriptsize", "\\footnotesize", "\\small", "\\normalsize", "\\large", "\\Large", "\\LARGE", "\\huge", "\\Huge"], Z1 = (r, e) => {
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  return ra(r.body, t, e);
};
B({
  type: "sizing",
  names: ar,
  props: {
    numArgs: 0,
    allowedInText: !0
  },
  handler: (r, e) => {
    var {
      breakOnTokenText: t,
      funcName: a,
      parser: n
    } = r, s = n.parseExpression(!1, t);
    return {
      type: "sizing",
      mode: n.mode,
      // Figure out what size to use based on the list of functions above
      size: ar.indexOf(a) + 1,
      body: s
    };
  },
  htmlBuilder: Z1,
  mathmlBuilder: (r, e) => {
    var t = e.havingSize(r.size), a = o0(r.body, t), n = new S.MathNode("mstyle", a);
    return n.setAttribute("mathsize", A(t.sizeMultiplier)), n;
  }
});
B({
  type: "smash",
  names: ["\\smash"],
  props: {
    numArgs: 1,
    numOptionalArgs: 1,
    allowedInText: !0
  },
  handler: (r, e, t) => {
    var {
      parser: a
    } = r, n = !1, s = !1, o = t[0] && F(t[0], "ordgroup");
    if (o)
      for (var h = "", c = 0; c < o.body.length; ++c) {
        var p = o.body[c];
        if (h = p.text, h === "t")
          n = !0;
        else if (h === "b")
          s = !0;
        else {
          n = !1, s = !1;
          break;
        }
      }
    else
      n = !0, s = !0;
    var g = e[0];
    return {
      type: "smash",
      mode: a.mode,
      body: g,
      smashHeight: n,
      smashDepth: s
    };
  },
  htmlBuilder: (r, e) => {
    var t = b.makeSpan([], [P(r.body, e)]);
    if (!r.smashHeight && !r.smashDepth)
      return t;
    if (r.smashHeight && (t.height = 0, t.children))
      for (var a = 0; a < t.children.length; a++)
        t.children[a].height = 0;
    if (r.smashDepth && (t.depth = 0, t.children))
      for (var n = 0; n < t.children.length; n++)
        t.children[n].depth = 0;
    var s = b.makeVList({
      positionType: "firstBaseline",
      children: [{
        type: "elem",
        elem: t
      }]
    }, e);
    return b.makeSpan(["mord"], [s], e);
  },
  mathmlBuilder: (r, e) => {
    var t = new S.MathNode("mpadded", [X(r.body, e)]);
    return r.smashHeight && t.setAttribute("height", "0px"), r.smashDepth && t.setAttribute("depth", "0px"), t;
  }
});
B({
  type: "sqrt",
  names: ["\\sqrt"],
  props: {
    numArgs: 1,
    numOptionalArgs: 1
  },
  handler(r, e, t) {
    var {
      parser: a
    } = r, n = t[0], s = e[0];
    return {
      type: "sqrt",
      mode: a.mode,
      body: s,
      index: n
    };
  },
  htmlBuilder(r, e) {
    var t = P(r.body, e.havingCrampedStyle());
    t.height === 0 && (t.height = e.fontMetrics().xHeight), t = b.wrapFragment(t, e);
    var a = e.fontMetrics(), n = a.defaultRuleThickness, s = n;
    e.style.id < R.TEXT.id && (s = e.fontMetrics().xHeight);
    var o = n + s / 4, h = t.height + t.depth + o + n, {
      span: c,
      ruleWidth: p,
      advanceWidth: g
    } = B0.sqrtImage(h, e), y = c.height - p;
    y > t.height + t.depth + o && (o = (o + y - t.height - t.depth) / 2);
    var w = c.height - t.height - o - p;
    t.style.paddingLeft = A(g);
    var x = b.makeVList({
      positionType: "firstBaseline",
      children: [{
        type: "elem",
        elem: t,
        wrapperClasses: ["svg-align"]
      }, {
        type: "kern",
        size: -(t.height + w)
      }, {
        type: "elem",
        elem: c
      }, {
        type: "kern",
        size: p
      }]
    }, e);
    if (r.index) {
      var z = e.havingStyle(R.SCRIPTSCRIPT), T = P(r.index, z, e), C = 0.6 * (x.height - x.depth), N = b.makeVList({
        positionType: "shift",
        positionData: -C,
        children: [{
          type: "elem",
          elem: T
        }]
      }, e), O = b.makeSpan(["root"], [N]);
      return b.makeSpan(["mord", "sqrt"], [O, x], e);
    } else
      return b.makeSpan(["mord", "sqrt"], [x], e);
  },
  mathmlBuilder(r, e) {
    var {
      body: t,
      index: a
    } = r;
    return a ? new S.MathNode("mroot", [X(t, e), X(a, e)]) : new S.MathNode("msqrt", [X(t, e)]);
  }
});
var nr = {
  display: R.DISPLAY,
  text: R.TEXT,
  script: R.SCRIPT,
  scriptscript: R.SCRIPTSCRIPT
};
B({
  type: "styling",
  names: ["\\displaystyle", "\\textstyle", "\\scriptstyle", "\\scriptscriptstyle"],
  props: {
    numArgs: 0,
    allowedInText: !0,
    primitive: !0
  },
  handler(r, e) {
    var {
      breakOnTokenText: t,
      funcName: a,
      parser: n
    } = r, s = n.parseExpression(!0, t), o = a.slice(1, a.length - 5);
    return {
      type: "styling",
      mode: n.mode,
      // Figure out what style to use by pulling out the style from
      // the function name
      style: o,
      body: s
    };
  },
  htmlBuilder(r, e) {
    var t = nr[r.style], a = e.havingStyle(t).withFont("");
    return ra(r.body, a, e);
  },
  mathmlBuilder(r, e) {
    var t = nr[r.style], a = e.havingStyle(t), n = o0(r.body, a), s = new S.MathNode("mstyle", n), o = {
      display: ["0", "true"],
      text: ["0", "false"],
      script: ["1", "false"],
      scriptscript: ["2", "false"]
    }, h = o[r.style];
    return s.setAttribute("scriptlevel", h[0]), s.setAttribute("displaystyle", h[1]), s;
  }
});
var K1 = function(e, t) {
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    if (a.type === "op") {
      var n = a.limits && (t.style.size === R.DISPLAY.size || a.alwaysHandleSupSub);
      return n ? re : null;
    } else if (a.type === "operatorname") {
      var s = a.alwaysHandleSupSub && (t.style.size === R.DISPLAY.size || a.limits);
      return s ? ta : null;
    } else {
      if (a.type === "accent")
        return I.isCharacterBox(a.base) ? xt : null;
      if (a.type === "horizBrace") {
        var o = !e.sub;
        return o === a.isOver ? Qr : null;
      } else
        return null;
    }
  else
    return null;
};
$0({
  type: "supsub",
  htmlBuilder(r, e) {
    var t = K1(r, e);
    if (t)
      return t(r, e);
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      base: a,
      sup: n,
      sub: s
    } = r, o = P(a, e), h, c, p = e.fontMetrics(), g = 0, y = 0, w = a && I.isCharacterBox(a);
    if (n) {
      var x = e.havingStyle(e.style.sup());
      h = P(n, x, e), w || (g = o.height - x.fontMetrics().supDrop * x.sizeMultiplier / e.sizeMultiplier);
    }
    if (s) {
      var z = e.havingStyle(e.style.sub());
      c = P(s, z, e), w || (y = o.depth + z.fontMetrics().subDrop * z.sizeMultiplier / e.sizeMultiplier);
    }
    var T;
    e.style === R.DISPLAY ? T = p.sup1 : e.style.cramped ? T = p.sup3 : T = p.sup2;
    var C = e.sizeMultiplier, N = A(0.5 / p.ptPerEm / C), O = null;
    if (c) {
      var H = r.base && r.base.type === "op" && r.base.name && (r.base.name === "\\oiint" || r.base.name === "\\oiiint");
      (o instanceof f0 || H) && (O = A(-o.italic));
    }
    var V;
    if (h && c) {
      g = Math.max(g, T, h.depth + 0.25 * p.xHeight), y = Math.max(y, p.sub2);
      var L = p.defaultRuleThickness, U = 4 * L;
      if (g - h.depth - (c.height - y) < U) {
        y = U - (g - h.depth) + c.height;
        var G = 0.8 * p.xHeight - (g - h.depth);
        G > 0 && (g += G, y -= G);
      }
      var j = [{
        type: "elem",
        elem: c,
        shift: y,
        marginRight: N,
        marginLeft: O
      }, {
        type: "elem",
        elem: h,
        shift: -g,
        marginRight: N
      }];
      V = b.makeVList({
        positionType: "individualShift",
        children: j
      }, e);
    } else if (c) {
      y = Math.max(y, p.sub1, c.height - 0.8 * p.xHeight);
      var Y = [{
        type: "elem",
        elem: c,
        marginLeft: O,
        marginRight: N
      }];
      V = b.makeVList({
        positionType: "shift",
        positionData: y,
        children: Y
      }, e);
    } else if (h)
      g = Math.max(g, T, h.depth + 0.25 * p.xHeight), V = b.makeVList({
        positionType: "shift",
        positionData: -g,
        children: [{
          type: "elem",
          elem: h,
          marginRight: N
        }]
      }, e);
    else
      throw new Error("supsub must have either sup or sub.");
    var M0 = lt(o, "right") || "mord";
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  },
  mathmlBuilder(r, e) {
    var t = !1, a, n;
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      o = a ? "mover" : "munder";
    else if (r.sub)
      if (r.sup) {
        var p = r.base;
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      } else {
        var c = r.base;
        c && c.type === "op" && c.limits && (e.style === R.DISPLAY || c.alwaysHandleSupSub) || c && c.type === "operatorname" && c.alwaysHandleSupSub && (c.limits || e.style === R.DISPLAY) ? o = "munder" : o = "msub";
      }
    else {
      var h = r.base;
      h && h.type === "op" && h.limits && (e.style === R.DISPLAY || h.alwaysHandleSupSub) || h && h.type === "operatorname" && h.alwaysHandleSupSub && (h.limits || e.style === R.DISPLAY) ? o = "mover" : o = "msup";
    }
    return new S.MathNode(o, s);
  }
});
$0({
  type: "atom",
  htmlBuilder(r, e) {
    return b.mathsym(r.text, r.mode, e, ["m" + r.family]);
  },
  mathmlBuilder(r, e) {
    var t = new S.MathNode("mo", [p0(r.text, r.mode)]);
    if (r.family === "bin") {
      var a = bt(r, e);
      a === "bold-italic" && t.setAttribute("mathvariant", a);
    } else
      r.family === "punct" ? t.setAttribute("separator", "true") : (r.family === "open" || r.family === "close") && t.setAttribute("stretchy", "false");
    return t;
  }
});
var aa = {
  mi: "italic",
  mn: "normal",
  mtext: "normal"
};
$0({
  type: "mathord",
  htmlBuilder(r, e) {
    return b.makeOrd(r, e, "mathord");
  },
  mathmlBuilder(r, e) {
    var t = new S.MathNode("mi", [p0(r.text, r.mode, e)]), a = bt(r, e) || "italic";
    return a !== aa[t.type] && t.setAttribute("mathvariant", a), t;
  }
});
$0({
  type: "textord",
  htmlBuilder(r, e) {
    return b.makeOrd(r, e, "textord");
  },
  mathmlBuilder(r, e) {
    var t = p0(r.text, r.mode, e), a = bt(r, e) || "normal", n;
    return r.mode === "text" ? n = new S.MathNode("mtext", [t]) : /[0-9]/.test(r.text) ? n = new S.MathNode("mn", [t]) : r.text === "\\prime" ? n = new S.MathNode("mo", [t]) : n = new S.MathNode("mi", [t]), a !== aa[n.type] && n.setAttribute("mathvariant", a), n;
  }
});
var et = {
  "\\nobreak": "nobreak",
  "\\allowbreak": "allowbreak"
}, tt = {
  " ": {},
  "\\ ": {},
  "~": {
    className: "nobreak"
  },
  "\\space": {},
  "\\nobreakspace": {
    className: "nobreak"
  }
};
$0({
  type: "spacing",
  htmlBuilder(r, e) {
    if (tt.hasOwnProperty(r.text)) {
      var t = tt[r.text].className || "";
      if (r.mode === "text") {
        var a = b.makeOrd(r, e, "textord");
        return a.classes.push(t), a;
      } else
        return b.makeSpan(["mspace", t], [b.mathsym(r.text, r.mode, e)], e);
    } else {
      if (et.hasOwnProperty(r.text))
        return b.makeSpan(["mspace", et[r.text]], [], e);
      throw new M('Unknown type of space "' + r.text + '"');
    }
  },
  mathmlBuilder(r, e) {
    var t;
    if (tt.hasOwnProperty(r.text))
      t = new S.MathNode("mtext", [new S.TextNode(" ")]);
    else {
      if (et.hasOwnProperty(r.text))
        return new S.MathNode("mspace");
      throw new M('Unknown type of space "' + r.text + '"');
    }
    return t;
  }
});
var ir = () => {
  var r = new S.MathNode("mtd", []);
  return r.setAttribute("width", "50%"), r;
};
$0({
  type: "tag",
  mathmlBuilder(r, e) {
    var t = new S.MathNode("mtable", [new S.MathNode("mtr", [ir(), new S.MathNode("mtd", [G0(r.body, e)]), ir(), new S.MathNode("mtd", [G0(r.tag, e)])])]);
    return t.setAttribute("width", "100%"), t;
  }
});
var sr = {
  "\\text": void 0,
  "\\textrm": "textrm",
  "\\textsf": "textsf",
  "\\texttt": "texttt",
  "\\textnormal": "textrm"
}, lr = {
  "\\textbf": "textbf",
  "\\textmd": "textmd"
}, J1 = {
  "\\textit": "textit",
  "\\textup": "textup"
}, or = (r, e) => {
  var t = r.font;
  return t ? sr[t] ? e.withTextFontFamily(sr[t]) : lr[t] ? e.withTextFontWeight(lr[t]) : e.withTextFontShape(J1[t]) : e;
};
B({
  type: "text",
  names: [
    // Font families
    "\\text",
    "\\textrm",
    "\\textsf",
    "\\texttt",
    "\\textnormal",
    // Font weights
    "\\textbf",
    "\\textmd",
    // Font Shapes
    "\\textit",
    "\\textup"
  ],
  props: {
    numArgs: 1,
    argTypes: ["text"],
    allowedInArgument: !0,
    allowedInText: !0
  },
  handler(r, e) {
    var {
      parser: t,
      funcName: a
    } = r, n = e[0];
    return {
      type: "text",
      mode: t.mode,
      body: Q(n),
      font: a
    };
  },
  htmlBuilder(r, e) {
    var t = or(r, e), a = t0(r.body, t, !0);
    return b.makeSpan(["mord", "text"], a, t);
  },
  mathmlBuilder(r, e) {
    var t = or(r, e);
    return G0(r.body, t);
  }
});
B({
  type: "underline",
  names: ["\\underline"],
  props: {
    numArgs: 1,
    allowedInText: !0
  },
  handler(r, e) {
    var {
      parser: t
    } = r;
    return {
      type: "underline",
      mode: t.mode,
      body: e[0]
    };
  },
  htmlBuilder(r, e) {
    var t = P(r.body, e), a = b.makeLineSpan("underline-line", e), n = e.fontMetrics().defaultRuleThickness, s = b.makeVList({
      positionType: "top",
      positionData: t.height,
      children: [{
        type: "kern",
        size: n
      }, {
        type: "elem",
        elem: a
      }, {
        type: "kern",
        size: 3 * n
      }, {
        type: "elem",
        elem: t
      }]
    }, e);
    return b.makeSpan(["mord", "underline"], [s], e);
  },
  mathmlBuilder(r, e) {
    var t = new S.MathNode("mo", [new S.TextNode("‾")]);
    t.setAttribute("stretchy", "true");
    var a = new S.MathNode("munder", [X(r.body, e), t]);
    return a.setAttribute("accentunder", "true"), a;
  }
});
B({
  type: "vcenter",
  names: ["\\vcenter"],
  props: {
    numArgs: 1,
    argTypes: ["original"],
    // In LaTeX, \vcenter can act only on a box.
    allowedInText: !1
  },
  handler(r, e) {
    var {
      parser: t
    } = r;
    return {
      type: "vcenter",
      mode: t.mode,
      body: e[0]
    };
  },
  htmlBuilder(r, e) {
    var t = P(r.body, e), a = e.fontMetrics().axisHeight, n = 0.5 * (t.height - a - (t.depth + a));
    return b.makeVList({
      positionType: "shift",
      positionData: n,
      children: [{
        type: "elem",
        elem: t
      }]
    }, e);
  },
  mathmlBuilder(r, e) {
    return new S.MathNode("mpadded", [X(r.body, e)], ["vcenter"]);
  }
});
B({
  type: "verb",
  names: ["\\verb"],
  props: {
    numArgs: 0,
    allowedInText: !0
  },
  handler(r, e, t) {
    throw new M("\\verb ended by end of line instead of matching delimiter");
  },
  htmlBuilder(r, e) {
    for (var t = ur(r), a = [], n = e.havingStyle(e.style.text()), s = 0; s < t.length; s++) {
      var o = t[s];
      o === "~" && (o = "\\textasciitilde"), a.push(b.makeSymbol(o, "Typewriter-Regular", r.mode, n, ["mord", "texttt"]));
    }
    return b.makeSpan(["mord", "text"].concat(n.sizingClasses(e)), b.tryCombineChars(a), n);
  },
  mathmlBuilder(r, e) {
    var t = new S.TextNode(ur(r)), a = new S.MathNode("mtext", [t]);
    return a.setAttribute("mathvariant", "monospace"), a;
  }
});
var ur = (r) => r.body.replace(/ /g, r.star ? "␣" : " "), F0 = Ar, na = `[ \r
	]`, Q1 = "\\\\[a-zA-Z@]+", _1 = "\\\\[^\uD800-\uDFFF]", e4 = "(" + Q1 + ")" + na + "*", t4 = `\\\\(
|[ \r	]+
?)[ \r	]*`, mt = "[̀-ͯ]", r4 = new RegExp(mt + "+$"), a4 = "(" + na + "+)|" + // whitespace
(t4 + "|") + // \whitespace
"([!-\\[\\]-‧‪-퟿豈-￿]" + // single codepoint
(mt + "*") + // ...plus accents
"|[\uD800-\uDBFF][\uDC00-\uDFFF]" + // surrogate pair
(mt + "*") + // ...plus accents
"|\\\\verb\\*([^]).*?\\4|\\\\verb([^*a-zA-Z]).*?\\5" + // \verb unstarred
("|" + e4) + // \macroName + spaces
("|" + _1 + ")");
class hr {
  // Category codes. The lexer only supports comment characters (14) for now.
  // MacroExpander additionally distinguishes active (13).
  constructor(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(a4, "g"), this.catcodes = {
      "%": 14,
      // comment character
      "~": 13
      // active character
    };
  }
  setCatcode(e, t) {
    this.catcodes[e] = t;
  }
  /**
   * This function lexes a single token.
   */
  lex() {
    var e = this.input, t = this.tokenRegex.lastIndex;
    if (t === e.length)
      return new x0("EOF", new u0(this, t, t));
    var a = this.tokenRegex.exec(e);
    if (a === null || a.index !== t)
      throw new M("Unexpected character: '" + e[t] + "'", new x0(e[t], new u0(this, t, t + 1)));
    var n = a[6] || a[3] || (a[2] ? "\\ " : " ");
    if (this.catcodes[n] === 14) {
      var s = e.indexOf(`
`, this.tokenRegex.lastIndex);
      return s === -1 ? (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 = s + 1, this.lex();
    }
    return new x0(n, new u0(this, t, this.tokenRegex.lastIndex));
  }
}
class n4 {
  /**
   * Both arguments are optional.  The first argument is an object of
   * built-in mappings which never change.  The second argument is an object
   * of initial (global-level) mappings, which will constantly change
   * according to any global/top-level `set`s done.
   */
  constructor(e, t) {
    e === void 0 && (e = {}), t === void 0 && (t = {}), this.current = void 0, this.builtins = void 0, this.undefStack = void 0, this.current = t, this.builtins = e, this.undefStack = [];
  }
  /**
   * Start a new nested group, affecting future local `set`s.
   */
  beginGroup() {
    this.undefStack.push({});
  }
  /**
   * End current nested group, restoring values before the group began.
   */
  endGroup() {
    if (this.undefStack.length === 0)
      throw new M("Unbalanced namespace destruction: attempt to pop global namespace; please report this as a bug");
    var e = this.undefStack.pop();
    for (var t in e)
      e.hasOwnProperty(t) && (e[t] == null ? delete this.current[t] : this.current[t] = e[t]);
  }
  /**
   * Ends all currently nested groups (if any), restoring values before the
   * groups began.  Useful in case of an error in the middle of parsing.
   */
  endGroups() {
    for (; this.undefStack.length > 0; )
      this.endGroup();
  }
  /**
   * Detect whether `name` has a definition.  Equivalent to
   * `get(name) != null`.
   */
  has(e) {
    return this.current.hasOwnProperty(e) || this.builtins.hasOwnProperty(e);
  }
  /**
   * Get the current value of a name, or `undefined` if there is no value.
   *
   * Note: Do not use `if (namespace.get(...))` to detect whether a macro
   * is defined, as the definition may be the empty string which evaluates
   * to `false` in JavaScript.  Use `if (namespace.get(...) != null)` or
   * `if (namespace.has(...))`.
   */
  get(e) {
    return this.current.hasOwnProperty(e) ? this.current[e] : this.builtins[e];
  }
  /**
   * Set the current value of a name, and optionally set it globally too.
   * Local set() sets the current value and (when appropriate) adds an undo
   * operation to the undo stack.  Global set() may change the undo
   * operation at every level, so takes time linear in their number.
   * A value of undefined means to delete existing definitions.
   */
  set(e, t, a) {
    if (a === void 0 && (a = !1), a) {
      for (var n = 0; n < this.undefStack.length; n++)
        delete this.undefStack[n][e];
      this.undefStack.length > 0 && (this.undefStack[this.undefStack.length - 1][e] = t);
    } else {
      var s = this.undefStack[this.undefStack.length - 1];
      s && !s.hasOwnProperty(e) && (s[e] = this.current[e]);
    }
    t == null ? delete this.current[e] : this.current[e] = t;
  }
}
var i4 = Wr;
m("\\noexpand", function(r) {
  var e = r.popToken();
  return r.isExpandable(e.text) && (e.noexpand = !0, e.treatAsRelax = !0), {
    tokens: [e],
    numArgs: 0
  };
});
m("\\expandafter", function(r) {
  var e = r.popToken();
  return r.expandOnce(!0), {
    tokens: [e],
    numArgs: 0
  };
});
m("\\@firstoftwo", function(r) {
  var e = r.consumeArgs(2);
  return {
    tokens: e[0],
    numArgs: 0
  };
});
m("\\@secondoftwo", function(r) {
  var e = r.consumeArgs(2);
  return {
    tokens: e[1],
    numArgs: 0
  };
});
m("\\@ifnextchar", function(r) {
  var e = r.consumeArgs(3);
  r.consumeSpaces();
  var t = r.future();
  return e[0].length === 1 && e[0][0].text === t.text ? {
    tokens: e[1],
    numArgs: 0
  } : {
    tokens: e[2],
    numArgs: 0
  };
});
m("\\@ifstar", "\\@ifnextchar *{\\@firstoftwo{#1}}");
m("\\TextOrMath", function(r) {
  var e = r.consumeArgs(2);
  return r.mode === "text" ? {
    tokens: e[0],
    numArgs: 0
  } : {
    tokens: e[1],
    numArgs: 0
  };
});
var mr = {
  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
};
m("\\char", function(r) {
  var e = r.popToken(), t, a = "";
  if (e.text === "'")
    t = 8, e = r.popToken();
  else if (e.text === '"')
    t = 16, e = r.popToken();
  else if (e.text === "`")
    if (e = r.popToken(), e.text[0] === "\\")
      a = e.text.charCodeAt(1);
    else {
      if (e.text === "EOF")
        throw new M("\\char` missing argument");
      a = e.text.charCodeAt(0);
    }
  else
    t = 10;
  if (t) {
    if (a = mr[e.text], a == null || a >= t)
      throw new M("Invalid base-" + t + " digit " + e.text);
    for (var n; (n = mr[r.future().text]) != null && n < t; )
      a *= t, a += n, r.popToken();
  }
  return "\\@char{" + a + "}";
});
var Bt = (r, e, t) => {
  var a = r.consumeArg().tokens;
  if (a.length !== 1)
    throw new M("\\newcommand's first argument must be a macro name");
  var n = a[0].text, s = r.isDefined(n);
  if (s && !e)
    throw new M("\\newcommand{" + n + "} attempting to redefine " + (n + "; use \\renewcommand"));
  if (!s && !t)
    throw new M("\\renewcommand{" + n + "} when command " + n + " does not yet exist; use \\newcommand");
  var o = 0;
  if (a = r.consumeArg().tokens, a.length === 1 && a[0].text === "[") {
    for (var h = "", c = r.expandNextToken(); c.text !== "]" && c.text !== "EOF"; )
      h += c.text, c = r.expandNextToken();
    if (!h.match(/^\s*[0-9]+\s*$/))
      throw new M("Invalid number of arguments: " + h);
    o = parseInt(h), a = r.consumeArg().tokens;
  }
  return r.macros.set(n, {
    tokens: a,
    numArgs: o
  }), "";
};
m("\\newcommand", (r) => Bt(r, !1, !0));
m("\\renewcommand", (r) => Bt(r, !0, !1));
m("\\providecommand", (r) => Bt(r, !0, !0));
m("\\message", (r) => {
  var e = r.consumeArgs(1)[0];
  return console.log(e.reverse().map((t) => t.text).join("")), "";
});
m("\\errmessage", (r) => {
  var e = r.consumeArgs(1)[0];
  return console.error(e.reverse().map((t) => t.text).join("")), "";
});
m("\\show", (r) => {
  var e = r.popToken(), t = e.text;
  return console.log(e, r.macros.get(t), F0[t], $.math[t], $.text[t]), "";
});
m("\\bgroup", "{");
m("\\egroup", "}");
m("~", "\\nobreakspace");
m("\\lq", "`");
m("\\rq", "'");
m("\\aa", "\\r a");
m("\\AA", "\\r A");
m("\\textcopyright", "\\html@mathml{\\textcircled{c}}{\\char`©}");
m("\\copyright", "\\TextOrMath{\\textcopyright}{\\text{\\textcopyright}}");
m("\\textregistered", "\\html@mathml{\\textcircled{\\scriptsize R}}{\\char`®}");
m("ℬ", "\\mathscr{B}");
m("ℰ", "\\mathscr{E}");
m("ℱ", "\\mathscr{F}");
m("ℋ", "\\mathscr{H}");
m("ℐ", "\\mathscr{I}");
m("ℒ", "\\mathscr{L}");
m("ℳ", "\\mathscr{M}");
m("ℛ", "\\mathscr{R}");
m("ℭ", "\\mathfrak{C}");
m("ℌ", "\\mathfrak{H}");
m("ℨ", "\\mathfrak{Z}");
m("\\Bbbk", "\\Bbb{k}");
m("·", "\\cdotp");
m("\\llap", "\\mathllap{\\textrm{#1}}");
m("\\rlap", "\\mathrlap{\\textrm{#1}}");
m("\\clap", "\\mathclap{\\textrm{#1}}");
m("\\mathstrut", "\\vphantom{(}");
m("\\underbar", "\\underline{\\text{#1}}");
m("\\not", '\\html@mathml{\\mathrel{\\mathrlap\\@not}}{\\char"338}');
m("\\neq", "\\html@mathml{\\mathrel{\\not=}}{\\mathrel{\\char`≠}}");
m("\\ne", "\\neq");
m("≠", "\\neq");
m("\\notin", "\\html@mathml{\\mathrel{{\\in}\\mathllap{/\\mskip1mu}}}{\\mathrel{\\char`∉}}");
m("∉", "\\notin");
m("≘", "\\html@mathml{\\mathrel{=\\kern{-1em}\\raisebox{0.4em}{$\\scriptsize\\frown$}}}{\\mathrel{\\char`≘}}");
m("≙", "\\html@mathml{\\stackrel{\\tiny\\wedge}{=}}{\\mathrel{\\char`≘}}");
m("≚", "\\html@mathml{\\stackrel{\\tiny\\vee}{=}}{\\mathrel{\\char`≚}}");
m("≛", "\\html@mathml{\\stackrel{\\scriptsize\\star}{=}}{\\mathrel{\\char`≛}}");
m("≝", "\\html@mathml{\\stackrel{\\tiny\\mathrm{def}}{=}}{\\mathrel{\\char`≝}}");
m("≞", "\\html@mathml{\\stackrel{\\tiny\\mathrm{m}}{=}}{\\mathrel{\\char`≞}}");
m("≟", "\\html@mathml{\\stackrel{\\tiny?}{=}}{\\mathrel{\\char`≟}}");
m("⟂", "\\perp");
m("‼", "\\mathclose{!\\mkern-0.8mu!}");
m("∌", "\\notni");
m("⌜", "\\ulcorner");
m("⌝", "\\urcorner");
m("⌞", "\\llcorner");
m("⌟", "\\lrcorner");
m("©", "\\copyright");
m("®", "\\textregistered");
m("️", "\\textregistered");
m("\\ulcorner", '\\html@mathml{\\@ulcorner}{\\mathop{\\char"231c}}');
m("\\urcorner", '\\html@mathml{\\@urcorner}{\\mathop{\\char"231d}}');
m("\\llcorner", '\\html@mathml{\\@llcorner}{\\mathop{\\char"231e}}');
m("\\lrcorner", '\\html@mathml{\\@lrcorner}{\\mathop{\\char"231f}}');
m("\\vdots", "\\mathord{\\varvdots\\rule{0pt}{15pt}}");
m("⋮", "\\vdots");
m("\\varGamma", "\\mathit{\\Gamma}");
m("\\varDelta", "\\mathit{\\Delta}");
m("\\varTheta", "\\mathit{\\Theta}");
m("\\varLambda", "\\mathit{\\Lambda}");
m("\\varXi", "\\mathit{\\Xi}");
m("\\varPi", "\\mathit{\\Pi}");
m("\\varSigma", "\\mathit{\\Sigma}");
m("\\varUpsilon", "\\mathit{\\Upsilon}");
m("\\varPhi", "\\mathit{\\Phi}");
m("\\varPsi", "\\mathit{\\Psi}");
m("\\varOmega", "\\mathit{\\Omega}");
m("\\substack", "\\begin{subarray}{c}#1\\end{subarray}");
m("\\colon", "\\nobreak\\mskip2mu\\mathpunct{}\\mathchoice{\\mkern-3mu}{\\mkern-3mu}{}{}{:}\\mskip6mu\\relax");
m("\\boxed", "\\fbox{$\\displaystyle{#1}$}");
m("\\iff", "\\DOTSB\\;\\Longleftrightarrow\\;");
m("\\implies", "\\DOTSB\\;\\Longrightarrow\\;");
m("\\impliedby", "\\DOTSB\\;\\Longleftarrow\\;");
var cr = {
  ",": "\\dotsc",
  "\\not": "\\dotsb",
  // \keybin@ checks for the following:
  "+": "\\dotsb",
  "=": "\\dotsb",
  "<": "\\dotsb",
  ">": "\\dotsb",
  "-": "\\dotsb",
  "*": "\\dotsb",
  ":": "\\dotsb",
  // Symbols whose definition starts with \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",
  // Symbols whose definition starts with \mathbin:
  "\\mathbin": "\\dotsb",
  // Symbols whose definition starts with \mathrel:
  "\\mathrel": "\\dotsb",
  "\\relbar": "\\dotsb",
  "\\Relbar": "\\dotsb",
  "\\xrightarrow": "\\dotsb",
  "\\xleftarrow": "\\dotsb",
  // Symbols whose definition starts with \DOTSI:
  "\\DOTSI": "\\dotsi",
  "\\int": "\\dotsi",
  "\\oint": "\\dotsi",
  "\\iint": "\\dotsi",
  "\\iiint": "\\dotsi",
  "\\iiiint": "\\dotsi",
  "\\idotsint": "\\dotsi",
  // Symbols whose definition starts with \DOTSX:
  "\\DOTSX": "\\dotsx"
};
m("\\dots", function(r) {
  var e = "\\dotso", t = r.expandAfterFuture().text;
  return t in cr ? e = cr[t] : (t.slice(0, 4) === "\\not" || t in $.math && I.contains(["bin", "rel"], $.math[t].group)) && (e = "\\dotsb"), e;
});
var Dt = {
  // \rightdelim@ checks for the following:
  ")": !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,
  // \extra@ also tests for the following:
  $: !0,
  // \extrap@ checks for the following:
  ";": !0,
  ".": !0,
  ",": !0
};
m("\\dotso", function(r) {
  var e = r.future().text;
  return e in Dt ? "\\ldots\\," : "\\ldots";
});
m("\\dotsc", function(r) {
  var e = r.future().text;
  return e in Dt && e !== "," ? "\\ldots\\," : "\\ldots";
});
m("\\cdots", function(r) {
  var e = r.future().text;
  return e in Dt ? "\\@cdots\\," : "\\@cdots";
});
m("\\dotsb", "\\cdots");
m("\\dotsm", "\\cdots");
m("\\dotsi", "\\!\\cdots");
m("\\dotsx", "\\ldots\\,");
m("\\DOTSI", "\\relax");
m("\\DOTSB", "\\relax");
m("\\DOTSX", "\\relax");
m("\\tmspace", "\\TextOrMath{\\kern#1#3}{\\mskip#1#2}\\relax");
m("\\,", "\\tmspace+{3mu}{.1667em}");
m("\\thinspace", "\\,");
m("\\>", "\\mskip{4mu}");
m("\\:", "\\tmspace+{4mu}{.2222em}");
m("\\medspace", "\\:");
m("\\;", "\\tmspace+{5mu}{.2777em}");
m("\\thickspace", "\\;");
m("\\!", "\\tmspace-{3mu}{.1667em}");
m("\\negthinspace", "\\!");
m("\\negmedspace", "\\tmspace-{4mu}{.2222em}");
m("\\negthickspace", "\\tmspace-{5mu}{.277em}");
m("\\enspace", "\\kern.5em ");
m("\\enskip", "\\hskip.5em\\relax");
m("\\quad", "\\hskip1em\\relax");
m("\\qquad", "\\hskip2em\\relax");
m("\\tag", "\\@ifstar\\tag@literal\\tag@paren");
m("\\tag@paren", "\\tag@literal{({#1})}");
m("\\tag@literal", (r) => {
  if (r.macros.get("\\df@tag"))
    throw new M("Multiple \\tag");
  return "\\gdef\\df@tag{\\text{#1}}";
});
m("\\bmod", "\\mathchoice{\\mskip1mu}{\\mskip1mu}{\\mskip5mu}{\\mskip5mu}\\mathbin{\\rm mod}\\mathchoice{\\mskip1mu}{\\mskip1mu}{\\mskip5mu}{\\mskip5mu}");
m("\\pod", "\\allowbreak\\mathchoice{\\mkern18mu}{\\mkern8mu}{\\mkern8mu}{\\mkern8mu}(#1)");
m("\\pmod", "\\pod{{\\rm mod}\\mkern6mu#1}");
m("\\mod", "\\allowbreak\\mathchoice{\\mkern18mu}{\\mkern12mu}{\\mkern12mu}{\\mkern12mu}{\\rm mod}\\,\\,#1");
m("\\newline", "\\\\\\relax");
m("\\TeX", "\\textrm{\\html@mathml{T\\kern-.1667em\\raisebox{-.5ex}{E}\\kern-.125emX}{TeX}}");
var ia = A(y0["Main-Regular"]["T".charCodeAt(0)][1] - 0.7 * y0["Main-Regular"]["A".charCodeAt(0)][1]);
m("\\LaTeX", "\\textrm{\\html@mathml{" + ("L\\kern-.36em\\raisebox{" + ia + "}{\\scriptstyle A}") + "\\kern-.15em\\TeX}{LaTeX}}");
m("\\KaTeX", "\\textrm{\\html@mathml{" + ("K\\kern-.17em\\raisebox{" + ia + "}{\\scriptstyle A}") + "\\kern-.15em\\TeX}{KaTeX}}");
m("\\hspace", "\\@ifstar\\@hspacer\\@hspace");
m("\\@hspace", "\\hskip #1\\relax");
m("\\@hspacer", "\\rule{0pt}{0pt}\\hskip #1\\relax");
m("\\ordinarycolon", ":");
m("\\vcentcolon", "\\mathrel{\\mathop\\ordinarycolon}");
m("\\dblcolon", '\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-.9mu}\\vcentcolon}}{\\mathop{\\char"2237}}');
m("\\coloneqq", '\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}=}}{\\mathop{\\char"2254}}');
m("\\Coloneqq", '\\html@mathml{\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}=}}{\\mathop{\\char"2237\\char"3d}}');
m("\\coloneq", '\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\mathrel{-}}}{\\mathop{\\char"3a\\char"2212}}');
m("\\Coloneq", '\\html@mathml{\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\mathrel{-}}}{\\mathop{\\char"2237\\char"2212}}');
m("\\eqqcolon", '\\html@mathml{\\mathrel{=\\mathrel{\\mkern-1.2mu}\\vcentcolon}}{\\mathop{\\char"2255}}');
m("\\Eqqcolon", '\\html@mathml{\\mathrel{=\\mathrel{\\mkern-1.2mu}\\dblcolon}}{\\mathop{\\char"3d\\char"2237}}');
m("\\eqcolon", '\\html@mathml{\\mathrel{\\mathrel{-}\\mathrel{\\mkern-1.2mu}\\vcentcolon}}{\\mathop{\\char"2239}}');
m("\\Eqcolon", '\\html@mathml{\\mathrel{\\mathrel{-}\\mathrel{\\mkern-1.2mu}\\dblcolon}}{\\mathop{\\char"2212\\char"2237}}');
m("\\colonapprox", '\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\approx}}{\\mathop{\\char"3a\\char"2248}}');
m("\\Colonapprox", '\\html@mathml{\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\approx}}{\\mathop{\\char"2237\\char"2248}}');
m("\\colonsim", '\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\sim}}{\\mathop{\\char"3a\\char"223c}}');
m("\\Colonsim", '\\html@mathml{\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\sim}}{\\mathop{\\char"2237\\char"223c}}');
m("∷", "\\dblcolon");
m("∹", "\\eqcolon");
m("≔", "\\coloneqq");
m("≕", "\\eqqcolon");
m("⩴", "\\Coloneqq");
m("\\ratio", "\\vcentcolon");
m("\\coloncolon", "\\dblcolon");
m("\\colonequals", "\\coloneqq");
m("\\coloncolonequals", "\\Coloneqq");
m("\\equalscolon", "\\eqqcolon");
m("\\equalscoloncolon", "\\Eqqcolon");
m("\\colonminus", "\\coloneq");
m("\\coloncolonminus", "\\Coloneq");
m("\\minuscolon", "\\eqcolon");
m("\\minuscoloncolon", "\\Eqcolon");
m("\\coloncolonapprox", "\\Colonapprox");
m("\\coloncolonsim", "\\Colonsim");
m("\\simcolon", "\\mathrel{\\sim\\mathrel{\\mkern-1.2mu}\\vcentcolon}");
m("\\simcoloncolon", "\\mathrel{\\sim\\mathrel{\\mkern-1.2mu}\\dblcolon}");
m("\\approxcolon", "\\mathrel{\\approx\\mathrel{\\mkern-1.2mu}\\vcentcolon}");
m("\\approxcoloncolon", "\\mathrel{\\approx\\mathrel{\\mkern-1.2mu}\\dblcolon}");
m("\\notni", "\\html@mathml{\\not\\ni}{\\mathrel{\\char`∌}}");
m("\\limsup", "\\DOTSB\\operatorname*{lim\\,sup}");
m("\\liminf", "\\DOTSB\\operatorname*{lim\\,inf}");
m("\\injlim", "\\DOTSB\\operatorname*{inj\\,lim}");
m("\\projlim", "\\DOTSB\\operatorname*{proj\\,lim}");
m("\\varlimsup", "\\DOTSB\\operatorname*{\\overline{lim}}");
m("\\varliminf", "\\DOTSB\\operatorname*{\\underline{lim}}");
m("\\varinjlim", "\\DOTSB\\operatorname*{\\underrightarrow{lim}}");
m("\\varprojlim", "\\DOTSB\\operatorname*{\\underleftarrow{lim}}");
m("\\gvertneqq", "\\html@mathml{\\@gvertneqq}{≩}");
m("\\lvertneqq", "\\html@mathml{\\@lvertneqq}{≨}");
m("\\ngeqq", "\\html@mathml{\\@ngeqq}{≱}");
m("\\ngeqslant", "\\html@mathml{\\@ngeqslant}{≱}");
m("\\nleqq", "\\html@mathml{\\@nleqq}{≰}");
m("\\nleqslant", "\\html@mathml{\\@nleqslant}{≰}");
m("\\nshortmid", "\\html@mathml{\\@nshortmid}{∤}");
m("\\nshortparallel", "\\html@mathml{\\@nshortparallel}{∦}");
m("\\nsubseteqq", "\\html@mathml{\\@nsubseteqq}{⊈}");
m("\\nsupseteqq", "\\html@mathml{\\@nsupseteqq}{⊉}");
m("\\varsubsetneq", "\\html@mathml{\\@varsubsetneq}{⊊}");
m("\\varsubsetneqq", "\\html@mathml{\\@varsubsetneqq}{⫋}");
m("\\varsupsetneq", "\\html@mathml{\\@varsupsetneq}{⊋}");
m("\\varsupsetneqq", "\\html@mathml{\\@varsupsetneqq}{⫌}");
m("\\imath", "\\html@mathml{\\@imath}{ı}");
m("\\jmath", "\\html@mathml{\\@jmath}{ȷ}");
m("\\llbracket", "\\html@mathml{\\mathopen{[\\mkern-3.2mu[}}{\\mathopen{\\char`⟦}}");
m("\\rrbracket", "\\html@mathml{\\mathclose{]\\mkern-3.2mu]}}{\\mathclose{\\char`⟧}}");
m("⟦", "\\llbracket");
m("⟧", "\\rrbracket");
m("\\lBrace", "\\html@mathml{\\mathopen{\\{\\mkern-3.2mu[}}{\\mathopen{\\char`⦃}}");
m("\\rBrace", "\\html@mathml{\\mathclose{]\\mkern-3.2mu\\}}}{\\mathclose{\\char`⦄}}");
m("⦃", "\\lBrace");
m("⦄", "\\rBrace");
m("\\minuso", "\\mathbin{\\html@mathml{{\\mathrlap{\\mathchoice{\\kern{0.145em}}{\\kern{0.145em}}{\\kern{0.1015em}}{\\kern{0.0725em}}\\circ}{-}}}{\\char`⦵}}");
m("⦵", "\\minuso");
m("\\darr", "\\downarrow");
m("\\dArr", "\\Downarrow");
m("\\Darr", "\\Downarrow");
m("\\lang", "\\langle");
m("\\rang", "\\rangle");
m("\\uarr", "\\uparrow");
m("\\uArr", "\\Uparrow");
m("\\Uarr", "\\Uparrow");
m("\\N", "\\mathbb{N}");
m("\\R", "\\mathbb{R}");
m("\\Z", "\\mathbb{Z}");
m("\\alef", "\\aleph");
m("\\alefsym", "\\aleph");
m("\\Alpha", "\\mathrm{A}");
m("\\Beta", "\\mathrm{B}");
m("\\bull", "\\bullet");
m("\\Chi", "\\mathrm{X}");
m("\\clubs", "\\clubsuit");
m("\\cnums", "\\mathbb{C}");
m("\\Complex", "\\mathbb{C}");
m("\\Dagger", "\\ddagger");
m("\\diamonds", "\\diamondsuit");
m("\\empty", "\\emptyset");
m("\\Epsilon", "\\mathrm{E}");
m("\\Eta", "\\mathrm{H}");
m("\\exist", "\\exists");
m("\\harr", "\\leftrightarrow");
m("\\hArr", "\\Leftrightarrow");
m("\\Harr", "\\Leftrightarrow");
m("\\hearts", "\\heartsuit");
m("\\image", "\\Im");
m("\\infin", "\\infty");
m("\\Iota", "\\mathrm{I}");
m("\\isin", "\\in");
m("\\Kappa", "\\mathrm{K}");
m("\\larr", "\\leftarrow");
m("\\lArr", "\\Leftarrow");
m("\\Larr", "\\Leftarrow");
m("\\lrarr", "\\leftrightarrow");
m("\\lrArr", "\\Leftrightarrow");
m("\\Lrarr", "\\Leftrightarrow");
m("\\Mu", "\\mathrm{M}");
m("\\natnums", "\\mathbb{N}");
m("\\Nu", "\\mathrm{N}");
m("\\Omicron", "\\mathrm{O}");
m("\\plusmn", "\\pm");
m("\\rarr", "\\rightarrow");
m("\\rArr", "\\Rightarrow");
m("\\Rarr", "\\Rightarrow");
m("\\real", "\\Re");
m("\\reals", "\\mathbb{R}");
m("\\Reals", "\\mathbb{R}");
m("\\Rho", "\\mathrm{P}");
m("\\sdot", "\\cdot");
m("\\sect", "\\S");
m("\\spades", "\\spadesuit");
m("\\sub", "\\subset");
m("\\sube", "\\subseteq");
m("\\supe", "\\supseteq");
m("\\Tau", "\\mathrm{T}");
m("\\thetasym", "\\vartheta");
m("\\weierp", "\\wp");
m("\\Zeta", "\\mathrm{Z}");
m("\\argmin", "\\DOTSB\\operatorname*{arg\\,min}");
m("\\argmax", "\\DOTSB\\operatorname*{arg\\,max}");
m("\\plim", "\\DOTSB\\mathop{\\operatorname{plim}}\\limits");
m("\\bra", "\\mathinner{\\langle{#1}|}");
m("\\ket", "\\mathinner{|{#1}\\rangle}");
m("\\braket", "\\mathinner{\\langle{#1}\\rangle}");
m("\\Bra", "\\left\\langle#1\\right|");
m("\\Ket", "\\left|#1\\right\\rangle");
var sa = (r) => (e) => {
  var t = e.consumeArg().tokens, a = e.consumeArg().tokens, n = e.consumeArg().tokens, s = e.consumeArg().tokens, o = e.macros.get("|"), h = e.macros.get("\\|");
  e.macros.beginGroup();
  var c = (y) => (w) => {
    r && (w.macros.set("|", o), n.length && w.macros.set("\\|", h));
    var x = y;
    if (!y && n.length) {
      var z = w.future();
      z.text === "|" && (w.popToken(), x = !0);
    }
    return {
      tokens: x ? n : a,
      numArgs: 0
    };
  };
  e.macros.set("|", c(!1)), n.length && e.macros.set("\\|", c(!0));
  var p = e.consumeArg().tokens, g = e.expandTokens([
    ...s,
    ...p,
    ...t
    // reversed
  ]);
  return e.macros.endGroup(), {
    tokens: g.reverse(),
    numArgs: 0
  };
};
m("\\bra@ket", sa(!1));
m("\\bra@set", sa(!0));
m("\\Braket", "\\bra@ket{\\left\\langle}{\\,\\middle\\vert\\,}{\\,\\middle\\vert\\,}{\\right\\rangle}");
m("\\Set", "\\bra@set{\\left\\{\\:}{\\;\\middle\\vert\\;}{\\;\\middle\\Vert\\;}{\\:\\right\\}}");
m("\\set", "\\bra@set{\\{\\,}{\\mid}{}{\\,\\}}");
m("\\angln", "{\\angl n}");
m("\\blue", "\\textcolor{##6495ed}{#1}");
m("\\orange", "\\textcolor{##ffa500}{#1}");
m("\\pink", "\\textcolor{##ff00af}{#1}");
m("\\red", "\\textcolor{##df0030}{#1}");
m("\\green", "\\textcolor{##28ae7b}{#1}");
m("\\gray", "\\textcolor{gray}{#1}");
m("\\purple", "\\textcolor{##9d38bd}{#1}");
m("\\blueA", "\\textcolor{##ccfaff}{#1}");
m("\\blueB", "\\textcolor{##80f6ff}{#1}");
m("\\blueC", "\\textcolor{##63d9ea}{#1}");
m("\\blueD", "\\textcolor{##11accd}{#1}");
m("\\blueE", "\\textcolor{##0c7f99}{#1}");
m("\\tealA", "\\textcolor{##94fff5}{#1}");
m("\\tealB", "\\textcolor{##26edd5}{#1}");
m("\\tealC", "\\textcolor{##01d1c1}{#1}");
m("\\tealD", "\\textcolor{##01a995}{#1}");
m("\\tealE", "\\textcolor{##208170}{#1}");
m("\\greenA", "\\textcolor{##b6ffb0}{#1}");
m("\\greenB", "\\textcolor{##8af281}{#1}");
m("\\greenC", "\\textcolor{##74cf70}{#1}");
m("\\greenD", "\\textcolor{##1fab54}{#1}");
m("\\greenE", "\\textcolor{##0d923f}{#1}");
m("\\goldA", "\\textcolor{##ffd0a9}{#1}");
m("\\goldB", "\\textcolor{##ffbb71}{#1}");
m("\\goldC", "\\textcolor{##ff9c39}{#1}");
m("\\goldD", "\\textcolor{##e07d10}{#1}");
m("\\goldE", "\\textcolor{##a75a05}{#1}");
m("\\redA", "\\textcolor{##fca9a9}{#1}");
m("\\redB", "\\textcolor{##ff8482}{#1}");
m("\\redC", "\\textcolor{##f9685d}{#1}");
m("\\redD", "\\textcolor{##e84d39}{#1}");
m("\\redE", "\\textcolor{##bc2612}{#1}");
m("\\maroonA", "\\textcolor{##ffbde0}{#1}");
m("\\maroonB", "\\textcolor{##ff92c6}{#1}");
m("\\maroonC", "\\textcolor{##ed5fa6}{#1}");
m("\\maroonD", "\\textcolor{##ca337c}{#1}");
m("\\maroonE", "\\textcolor{##9e034e}{#1}");
m("\\purpleA", "\\textcolor{##ddd7ff}{#1}");
m("\\purpleB", "\\textcolor{##c6b9fc}{#1}");
m("\\purpleC", "\\textcolor{##aa87ff}{#1}");
m("\\purpleD", "\\textcolor{##7854ab}{#1}");
m("\\purpleE", "\\textcolor{##543b78}{#1}");
m("\\mintA", "\\textcolor{##f5f9e8}{#1}");
m("\\mintB", "\\textcolor{##edf2df}{#1}");
m("\\mintC", "\\textcolor{##e0e5cc}{#1}");
m("\\grayA", "\\textcolor{##f6f7f7}{#1}");
m("\\grayB", "\\textcolor{##f0f1f2}{#1}");
m("\\grayC", "\\textcolor{##e3e5e6}{#1}");
m("\\grayD", "\\textcolor{##d6d8da}{#1}");
m("\\grayE", "\\textcolor{##babec2}{#1}");
m("\\grayF", "\\textcolor{##888d93}{#1}");
m("\\grayG", "\\textcolor{##626569}{#1}");
m("\\grayH", "\\textcolor{##3b3e40}{#1}");
m("\\grayI", "\\textcolor{##21242c}{#1}");
m("\\kaBlue", "\\textcolor{##314453}{#1}");
m("\\kaGreen", "\\textcolor{##71B307}{#1}");
var la = {
  "^": !0,
  // Parser.js
  _: !0,
  // Parser.js
  "\\limits": !0,
  // Parser.js
  "\\nolimits": !0
  // Parser.js
};
class s4 {
  constructor(e, t, a) {
    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 n4(i4, t.macros), this.mode = a, this.stack = [];
  }
  /**
   * Feed a new input string to the same MacroExpander
   * (with existing macros etc.).
   */
  feed(e) {
    this.lexer = new hr(e, this.settings);
  }
  /**
   * Switches between "text" and "math" modes.
   */
  switchMode(e) {
    this.mode = e;
  }
  /**
   * Start a new group nesting within all namespaces.
   */
  beginGroup() {
    this.macros.beginGroup();
  }
  /**
   * End current group nesting within all namespaces.
   */
  endGroup() {
    this.macros.endGroup();
  }
  /**
   * Ends all currently nested groups (if any), restoring values before the
   * groups began.  Useful in case of an error in the middle of parsing.
   */
  endGroups() {
    this.macros.endGroups();
  }
  /**
   * Returns the topmost token on the stack, without expanding it.
   * Similar in behavior to TeX's `\futurelet`.
   */
  future() {
    return this.stack.length === 0 && this.pushToken(this.lexer.lex()), this.stack[this.stack.length - 1];
  }
  /**
   * Remove and return the next unexpanded token.
   */
  popToken() {
    return this.future(), this.stack.pop();
  }
  /**
   * Add a given token to the token stack.  In particular, this get be used
   * to put back a token returned from one of the other methods.
   */
  pushToken(e) {
    this.stack.push(e);
  }
  /**
   * Append an array of tokens to the token stack.
   */
  pushTokens(e) {
    this.stack.push(...e);
  }
  /**
   * Find an macro argument without expanding tokens and append the array of
   * tokens to the token stack. Uses Token as a container for the result.
   */
  scanArgument(e) {
    var t, a, n;
    if (e) {
      if (this.consumeSpaces(), this.future().text !== "[")
        return null;
      t = this.popToken(), {
        tokens: n,
        end: a
      } = this.consumeArg(["]"]);
    } else
      ({
        tokens: n,
        start: t,
        end: a
      } = this.consumeArg());
    return this.pushToken(new x0("EOF", a.loc)), this.pushTokens(n), t.range(a, "");
  }
  /**
   * Consume all following space tokens, without expansion.
   */
  consumeSpaces() {
    for (; ; ) {
      var e = this.future();
      if (e.text === " ")
        this.stack.pop();
      else
        break;
    }
  }
  /**
   * Consume an argument from the token stream, and return the resulting array
   * of tokens and start/end token.
   */
  consumeArg(e) {
    var t = [], a = e && e.length > 0;
    a || this.consumeSpaces();
    var n = this.future(), s, o = 0, h = 0;
    do {
      if (s = this.popToken(), t.push(s), s.text === "{")
        ++o;
      else if (s.text === "}") {
        if (--o, o === -1)
          throw new M("Extra }", s);
      } else if (s.text === "EOF")
        throw new M("Unexpected end of input in a macro argument, expected '" + (e && a ? e[h] : "}") + "'", s);
      if (e && a)
        if ((o === 0 || o === 1 && e[h] === "{") && s.text === e[h]) {
          if (++h, h === e.length) {
            t.splice(-h, h);
            break;
          }
        } else
          h = 0;
    } while (o !== 0 || a);
    return n.text === "{" && t[t.length - 1].text === "}" && (t.pop(), t.shift()), t.reverse(), {
      tokens: t,
      start: n,
      end: s
    };
  }
  /**
   * Consume the specified number of (delimited) arguments from the token
   * stream and return the resulting array of arguments.
   */
  consumeArgs(e, t) {
    if (t) {
      if (t.length !== e + 1)
        throw new M("The length of delimiters doesn't match the number of args!");
      for (var a = t[0], n = 0; n < a.length; n++) {
        var s = this.popToken();
        if (a[n] !== s.text)
          throw new M("Use of the macro doesn't match its definition", s);
      }
    }
    for (var o = [], h = 0; h < e; h++)
      o.push(this.consumeArg(t && t[h + 1]).tokens);
    return o;
  }
  /**
   * Expand the next token only once if possible.
   *
   * If the token is expanded, the resulting tokens will be pushed onto
   * the stack in reverse order, and the number of such tokens will be
   * returned.  This number might be zero or positive.
   *
   * If not, the return value is `false`, and the next token remains at the
   * top of the stack.
   *
   * In either case, the next token will be on the top of the stack,
   * or the stack will be empty (in case of empty expansion
   * and no other tokens).
   *
   * Used to implement `expandAfterFuture` and `expandNextToken`.
   *
   * If expandableOnly, only expandable tokens are expanded and
   * an undefined control sequence results in an error.
   */
  expandOnce(e) {
    var t = this.popToken(), a = t.text, n = t.noexpand ? null : this._getExpansion(a);
    if (n == null || e && n.unexpandable) {
      if (e && n == null && a[0] === "\\" && !this.isDefined(a))
        throw new M("Undefined control sequence: " + a);
      return this.pushToken(t), !1;
    }
    if (this.expansionCount++, this.expansionCount > this.settings.maxExpand)
      throw new M("Too many expansions: infinite loop or need to increase maxExpand setting");
    var s = n.tokens, o = this.consumeArgs(n.numArgs, n.delimiters);
    if (n.numArgs) {
      s = s.slice();
      for (var h = s.length - 1; h >= 0; --h) {
        var c = s[h];
        if (c.text === "#") {
          if (h === 0)
            throw new M("Incomplete placeholder at end of macro body", c);
          if (c = s[--h], c.text === "#")
            s.splice(h + 1, 1);
          else if (/^[1-9]$/.test(c.text))
            s.splice(h, 2, ...o[+c.text - 1]);
          else
            throw new M("Not a valid argument number", c);
        }
      }
    }
    return this.pushTokens(s), s.length;
  }
  /**
   * Expand the next token only once (if possible), and return the resulting
   * top token on the stack (without removing anything from the stack).
   * Similar in behavior to TeX's `\expandafter\futurelet`.
   * Equivalent to expandOnce() followed by future().
   */
  expandAfterFuture() {
    return this.expandOnce(), this.future();
  }
  /**
   * Recursively expand first token, then return first non-expandable token.
   */
  expandNextToken() {
    for (; ; )
      if (this.expandOnce() === !1) {
        var e = this.stack.pop();
        return e.treatAsRelax && (e.text = "\\relax"), e;
      }
    throw new Error();
  }
  /**
   * Fully expand the given macro name and return the resulting list of
   * tokens, or return `undefined` if no such macro is defined.
   */
  expandMacro(e) {
    return this.macros.has(e) ? this.expandTokens([new x0(e)]) : void 0;
  }
  /**
   * Fully expand the given token stream and return the resulting list of
   * tokens.  Note that the input tokens are in reverse order, but the
   * output tokens are in forward order.
   */
  expandTokens(e) {
    var t = [], a = this.stack.length;
    for (this.pushTokens(e); this.stack.length > a; )
      if (this.expandOnce(!0) === !1) {
        var n = this.stack.pop();
        n.treatAsRelax && (n.noexpand = !1, n.treatAsRelax = !1), t.push(n);
      }
    return t;
  }
  /**
   * Fully expand the given macro name and return the result as a string,
   * or return `undefined` if no such macro is defined.
   */
  expandMacroAsText(e) {
    var t = this.expandMacro(e);
    return t && t.map((a) => a.text).join("");
  }
  /**
   * Returns the expanded macro as a reversed array of tokens and a macro
   * argument count.  Or returns `null` if no such macro.
   */
  _getExpansion(e) {
    var t = this.macros.get(e);
    if (t == null)
      return t;
    if (e.length === 1) {
      var a = this.lexer.catcodes[e];
      if (a != null && a !== 13)
        return;
    }
    var n = typeof t == "function" ? t(this) : t;
    if (typeof n == "string") {
      var s = 0;
      if (n.indexOf("#") !== -1)
        for (var o = n.replace(/##/g, ""); o.indexOf("#" + (s + 1)) !== -1; )
          ++s;
      for (var h = new hr(n, this.settings), c = [], p = h.lex(); p.text !== "EOF"; )
        c.push(p), p = h.lex();
      c.reverse();
      var g = {
        tokens: c,
        numArgs: s
      };
      return g;
    }
    return n;
  }
  /**
   * Determine whether a command is currently "defined" (has some
   * functionality), meaning that it's a macro (in the current group),
   * a function, a symbol, or one of the special commands listed in
   * `implicitCommands`.
   */
  isDefined(e) {
    return this.macros.has(e) || F0.hasOwnProperty(e) || $.math.hasOwnProperty(e) || $.text.hasOwnProperty(e) || la.hasOwnProperty(e);
  }
  /**
   * Determine whether a command is expandable.
   */
  isExpandable(e) {
    var t = this.macros.get(e);
    return t != null ? typeof t == "string" || typeof t == "function" || !t.unexpandable : F0.hasOwnProperty(e) && !F0[e].primitive;
  }
}
var dr = /^[₊₋₌₍₎₀₁₂₃₄₅₆₇₈₉ₐₑₕᵢⱼₖₗₘₙₒₚᵣₛₜᵤᵥₓᵦᵧᵨᵩᵪ]/, ze = 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"
}), rt = {
  "́": {
    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"
  }
}, fr = {
  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"
};
class ue {
  constructor(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 s4(e, t, this.mode), this.settings = t, this.leftrightDepth = 0;
  }
  /**
   * Checks a result to make sure it has the right type, and throws an
   * appropriate error otherwise.
   */
  expect(e, t) {
    if (t === void 0 && (t = !0), this.fetch().text !== e)
      throw new M("Expected '" + e + "', got '" + this.fetch().text + "'", this.fetch());
    t && this.consume();
  }
  /**
   * Discards the current lookahead token, considering it consumed.
   */
  consume() {
    this.nextToken = null;
  }
  /**
   * Return the current lookahead token, or if there isn't one (at the
   * beginning, or if the previous lookahead token was consume()d),
   * fetch the next token as the new lookahead token and return it.
   */
  fetch() {
    return this.nextToken == null && (this.nextToken = this.gullet.expandNextToken()), this.nextToken;
  }
  /**
   * Switches between "text" and "math" modes.
   */
  switchMode(e) {
    this.mode = e, this.gullet.switchMode(e);
  }
  /**
   * Main parsing function, which parses an entire input.
   */
  parse() {
    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();
    }
  }
  /**
   * Fully parse a separate sequence of tokens as a separate job.
   * Tokens should be specified in reverse order, as in a MacroDefinition.
   */
  subparse(e) {
    var t = this.nextToken;
    this.consume(), this.gullet.pushToken(new x0("}")), this.gullet.pushTokens(e);
    var a = this.parseExpression(!1);
    return this.expect("}"), this.nextToken = t, a;
  }
  /**
   * Parses an "expression", which is a list of atoms.
   *
   * `breakOnInfix`: Should the parsing stop when we hit infix nodes? This
   *                 happens when functions have higher precedence han infix
   *                 nodes in implicit parses.
   *
   * `breakOnTokenText`: The text of the token that the expression should end
   *                     with, or `null` if something else should end the
   *                     expression.
   */
  parseExpression(e, t) {
    for (var a = []; ; ) {
      this.mode === "math" && this.consumeSpaces();
      var n = this.fetch();
      if (ue.endOfExpression.indexOf(n.text) !== -1 || t && n.text === t || e && F0[n.text] && F0[n.text].infix)
        break;
      var s = this.parseAtom(t);
      if (s) {
        if (s.type === "internal")
          continue;
      } else
        break;
      a.push(s);
    }
    return this.mode === "text" && this.formLigatures(a), this.handleInfixNodes(a);
  }
  /**
   * Rewrites infix operators such as \over with corresponding commands such
   * as \frac.
   *
   * There can only be one infix operator per group.  If there's more than one
   * then the expression is ambiguous.  This can be resolved by adding {}.
   */
  handleInfixNodes(e) {
    for (var t = -1, a, n = 0; n < e.length; n++)
      if (e[n].type === "infix") {
        if (t !== -1)
          throw new M("only one infix operator per group", e[n].token);
        t = n, a = e[n].replaceWith;
      }
    if (t !== -1 && a) {
      var s, o, h = e.slice(0, t), c = e.slice(t + 1);
      h.length === 1 && h[0].type === "ordgroup" ? s = h[0] : s = {
        type: "ordgroup",
        mode: this.mode,
        body: h
      }, c.length === 1 && c[0].type === "ordgroup" ? o = c[0] : o = {
        type: "ordgroup",
        mode: this.mode,
        body: c
      };
      var p;
      return a === "\\\\abovefrac" ? p = this.callFunction(a, [s, e[t], o], []) : p = this.callFunction(a, [s, o], []), [p];
    } else
      return e;
  }
  /**
   * Handle a subscript or superscript with nice errors.
   */
  handleSupSubscript(e) {
    var t = this.fetch(), a = t.text;
    this.consume(), this.consumeSpaces();
    var n = this.parseGroup(e);
    if (!n)
      throw new M("Expected group after '" + a + "'", t);
    return n;
  }
  /**
   * Converts the textual input of an unsupported command into a text node
   * contained within a color node whose color is determined by errorColor
   */
  formatUnsupportedCmd(e) {
    for (var t = [], a = 0; a < e.length; a++)
      t.push({
        type: "textord",
        mode: "text",
        text: e[a]
      });
    var n = {
      type: "text",
      mode: this.mode,
      body: t
    }, s = {
      type: "color",
      mode: this.mode,
      color: this.settings.errorColor,
      body: [n]
    };
    return s;
  }
  /**
   * Parses a group with optional super/subscripts.
   */
  parseAtom(e) {
    var t = this.parseGroup("atom", e);
    if (this.mode === "text")
      return t;
    for (var a, n; ; ) {
      this.consumeSpaces();
      var s = this.fetch();
      if (s.text === "\\limits" || s.text === "\\nolimits") {
        if (t && t.type === "op") {
          var o = s.text === "\\limits";
          t.limits = o, t.alwaysHandleSupSub = !0;
        } else if (t && t.type === "operatorname")
          t.alwaysHandleSupSub && (t.limits = s.text === "\\limits");
        else
          throw new M("Limit controls must follow a math operator", s);
        this.consume();
      } else if (s.text === "^") {
        if (a)
          throw new M("Double superscript", s);
        a = this.handleSupSubscript("superscript");
      } else if (s.text === "_") {
        if (n)
          throw new M("Double subscript", s);
        n = this.handleSupSubscript("subscript");
      } else if (s.text === "'") {
        if (a)
          throw new M("Double superscript", s);
        var h = {
          type: "textord",
          mode: this.mode,
          text: "\\prime"
        }, c = [h];
        for (this.consume(); this.fetch().text === "'"; )
          c.push(h), this.consume();
        this.fetch().text === "^" && c.push(this.handleSupSubscript("superscript")), a = {
          type: "ordgroup",
          mode: this.mode,
          body: c
        };
      } else if (ze[s.text]) {
        var p = ze[s.text], g = dr.test(s.text);
        for (this.consume(); ; ) {
          var y = this.fetch().text;
          if (!ze[y] || dr.test(y) !== g)
            break;
          this.consume(), p += ze[y];
        }
        var w = new ue(p, this.settings).parse();
        g ? n = {
          type: "ordgroup",
          mode: "math",
          body: w
        } : a = {
          type: "ordgroup",
          mode: "math",
          body: w
        };
      } else
        break;
    }
    return a || n ? {
      type: "supsub",
      mode: this.mode,
      base: t,
      sup: a,
      sub: n
    } : t;
  }
  /**
   * Parses an entire function, including its base and all of its arguments.
   */
  parseFunction(e, t) {
    var a = this.fetch(), n = a.text, s = F0[n];
    if (!s)
      return null;
    if (this.consume(), t && t !== "atom" && !s.allowedInArgument)
      throw new M("Got function '" + n + "' with no arguments" + (t ? " as " + t : ""), a);
    if (this.mode === "text" && !s.allowedInText)
      throw new M("Can't use function '" + n + "' in text mode", a);
    if (this.mode === "math" && s.allowedInMath === !1)
      throw new M("Can't use function '" + n + "' in math mode", a);
    var {
      args: o,
      optArgs: h
    } = this.parseArguments(n, s);
    return this.callFunction(n, o, h, a, e);
  }
  /**
   * Call a function handler with a suitable context and arguments.
   */
  callFunction(e, t, a, n, s) {
    var o = {
      funcName: e,
      parser: this,
      token: n,
      breakOnTokenText: s
    }, h = F0[e];
    if (h && h.handler)
      return h.handler(o, t, a);
    throw new M("No function handler for " + e);
  }
  /**
   * Parses the arguments of a function or environment
   */
  parseArguments(e, t) {
    var a = t.numArgs + t.numOptionalArgs;
    if (a === 0)
      return {
        args: [],
        optArgs: []
      };
    for (var n = [], s = [], o = 0; o < a; o++) {
      var h = t.argTypes && t.argTypes[o], c = o < t.numOptionalArgs;
      (t.primitive && h == null || // \sqrt expands into primitive if optional argument doesn't exist
      t.type === "sqrt" && o === 1 && s[0] == null) && (h = "primitive");
      var p = this.parseGroupOfType("argument to '" + e + "'", h, c);
      if (c)
        s.push(p);
      else if (p != null)
        n.push(p);
      else
        throw new M("Null argument, please report this as a bug");
    }
    return {
      args: n,
      optArgs: s
    };
  }
  /**
   * Parses a group when the mode is changing.
   */
  parseGroupOfType(e, t, a) {
    switch (t) {
      case "color":
        return this.parseColorGroup(a);
      case "size":
        return this.parseSizeGroup(a);
      case "url":
        return this.parseUrlGroup(a);
      case "math":
      case "text":
        return this.parseArgumentGroup(a, t);
      case "hbox": {
        var n = this.parseArgumentGroup(a, "text");
        return n != null ? {
          type: "styling",
          mode: n.mode,
          body: [n],
          style: "text"
          // simulate \textstyle
        } : null;
      }
      case "raw": {
        var s = this.parseStringGroup("raw", a);
        return s != null ? {
          type: "raw",
          mode: "text",
          string: s.text
        } : null;
      }
      case "primitive": {
        if (a)
          throw new M("A primitive argument cannot be optional");
        var o = this.parseGroup(e);
        if (o == null)
          throw new M("Expected group as " + e, this.fetch());
        return o;
      }
      case "original":
      case null:
      case void 0:
        return this.parseArgumentGroup(a);
      default:
        throw new M("Unknown group type as " + e, this.fetch());
    }
  }
  /**
   * Discard any space tokens, fetching the next non-space token.
   */
  consumeSpaces() {
    for (; this.fetch().text === " "; )
      this.consume();
  }
  /**
   * Parses a group, essentially returning the string formed by the
   * brace-enclosed tokens plus some position information.
   */
  parseStringGroup(e, t) {
    var a = this.gullet.scanArgument(t);
    if (a == null)
      return null;
    for (var n = "", s; (s = this.fetch()).text !== "EOF"; )
      n += s.text, this.consume();
    return this.consume(), a.text = n, a;
  }
  /**
   * Parses a regex-delimited group: the largest sequence of tokens
   * whose concatenated strings match `regex`. Returns the string
   * formed by the tokens plus some position information.
   */
  parseRegexGroup(e, t) {
    for (var a = this.fetch(), n = a, s = "", o; (o = this.fetch()).text !== "EOF" && e.test(s + o.text); )
      n = o, s += n.text, this.consume();
    if (s === "")
      throw new M("Invalid " + t + ": '" + a.text + "'", a);
    return a.range(n, s);
  }
  /**
   * Parses a color description.
   */
  parseColorGroup(e) {
    var t = this.parseStringGroup("color", e);
    if (t == null)
      return null;
    var a = /^(#[a-f0-9]{3}|#?[a-f0-9]{6}|[a-z]+)$/i.exec(t.text);
    if (!a)
      throw new M("Invalid color: '" + t.text + "'", t);
    var n = a[0];
    return /^[0-9a-f]{6}$/i.test(n) && (n = "#" + n), {
      type: "color-token",
      mode: this.mode,
      color: n
    };
  }
  /**
   * Parses a size specification, consisting of magnitude and unit.
   */
  parseSizeGroup(e) {
    var t, a = !1;
    if (this.gullet.consumeSpaces(), !e && this.gullet.future().text !== "{" ? t = this.parseRegexGroup(/^[-+]? *(?:$|\d+|\d+\.\d*|\.\d*) *[a-z]{0,2} *$/, "size") : t = this.parseStringGroup("size", e), !t)
      return null;
    !e && t.text.length === 0 && (t.text = "0pt", a = !0);
    var n = /([-+]?) *(\d+(?:\.\d*)?|\.\d+) *([a-z]{2})/.exec(t.text);
    if (!n)
      throw new M("Invalid size: '" + t.text + "'", t);
    var s = {
      number: +(n[1] + n[2]),
      // sign + magnitude, cast to number
      unit: n[3]
    };
    if (!gr(s))
      throw new M("Invalid unit: '" + s.unit + "'", t);
    return {
      type: "size",
      mode: this.mode,
      value: s,
      isBlank: a
    };
  }
  /**
   * Parses an URL, checking escaped letters and allowed protocols,
   * and setting the catcode of % as an active character (as in \hyperref).
   */
  parseUrlGroup(e) {
    this.gullet.lexer.setCatcode("%", 13), this.gullet.lexer.setCatcode("~", 12);
    var t = this.parseStringGroup("url", e);
    if (this.gullet.lexer.setCatcode("%", 14), this.gullet.lexer.setCatcode("~", 13), t == null)
      return null;
    var a = t.text.replace(/\\([#$%&~_^{}])/g, "$1");
    return {
      type: "url",
      mode: this.mode,
      url: a
    };
  }
  /**
   * Parses an argument with the mode specified.
   */
  parseArgumentGroup(e, t) {
    var a = this.gullet.scanArgument(e);
    if (a == null)
      return null;
    var n = this.mode;
    t && this.switchMode(t), this.gullet.beginGroup();
    var s = this.parseExpression(!1, "EOF");
    this.expect("EOF"), this.gullet.endGroup();
    var o = {
      type: "ordgroup",
      mode: this.mode,
      loc: a.loc,
      body: s
    };
    return t && this.switchMode(n), o;
  }
  /**
   * Parses an ordinary group, which is either a single nucleus (like "x")
   * or an expression in braces (like "{x+y}") or an implicit group, a group
   * that starts at the current position, and ends right before a higher explicit
   * group ends, or at EOF.
   */
  parseGroup(e, t) {
    var a = this.fetch(), n = a.text, s;
    if (n === "{" || n === "\\begingroup") {
      this.consume();
      var o = n === "{" ? "}" : "\\endgroup";
      this.gullet.beginGroup();
      var h = this.parseExpression(!1, o), c = this.fetch();
      this.expect(o), this.gullet.endGroup(), s = {
        type: "ordgroup",
        mode: this.mode,
        loc: u0.range(a, c),
        body: h,
        // A group formed by \begingroup...\endgroup is a semi-simple group
        // which doesn't affect spacing in math mode, i.e., is transparent.
        // https://tex.stackexchange.com/questions/1930/when-should-one-
        // use-begingroup-instead-of-bgroup
        semisimple: n === "\\begingroup" || void 0
      };
    } else if (s = this.parseFunction(t, e) || this.parseSymbol(), s == null && n[0] === "\\" && !la.hasOwnProperty(n)) {
      if (this.settings.throwOnError)
        throw new M("Undefined control sequence: " + n, a);
      s = this.formatUnsupportedCmd(n), this.consume();
    }
    return s;
  }
  /**
   * Form ligature-like combinations of characters for text mode.
   * This includes inputs like "--", "---", "``" and "''".
   * The result will simply replace multiple textord nodes with a single
   * character in each value by a single textord node having multiple
   * characters in its value.  The representation is still ASCII source.
   * The group will be modified in place.
   */
  formLigatures(e) {
    for (var t = e.length - 1, a = 0; a < t; ++a) {
      var n = e[a], s = n.text;
      s === "-" && e[a + 1].text === "-" && (a + 1 < t && e[a + 2].text === "-" ? (e.splice(a, 3, {
        type: "textord",
        mode: "text",
        loc: u0.range(n, e[a + 2]),
        text: "---"
      }), t -= 2) : (e.splice(a, 2, {
        type: "textord",
        mode: "text",
        loc: u0.range(n, e[a + 1]),
        text: "--"
      }), t -= 1)), (s === "'" || s === "`") && e[a + 1].text === s && (e.splice(a, 2, {
        type: "textord",
        mode: "text",
        loc: u0.range(n, e[a + 1]),
        text: s + s
      }), t -= 1);
    }
  }
  /**
   * Parse a single symbol out of the string. Here, we handle single character
   * symbols and special functions like \verb.
   */
  parseSymbol() {
    var e = this.fetch(), t = e.text;
    if (/^\\verb[^a-zA-Z]/.test(t)) {
      this.consume();
      var a = t.slice(5), n = a.charAt(0) === "*";
      if (n && (a = a.slice(1)), a.length < 2 || a.charAt(0) !== a.slice(-1))
        throw new M(`\\verb assertion failed --
                    please report what input caused this bug`);
      return a = a.slice(1, -1), {
        type: "verb",
        mode: "text",
        body: a,
        star: n
      };
    }
    fr.hasOwnProperty(t[0]) && !$[this.mode][t[0]] && (this.settings.strict && this.mode === "math" && this.settings.reportNonstrict("unicodeTextInMathMode", 'Accented Unicode text character "' + t[0] + '" used in math mode', e), t = fr[t[0]] + t.slice(1));
    var s = r4.exec(t);
    s && (t = t.substring(0, s.index), t === "i" ? t = "ı" : t === "j" && (t = "ȷ"));
    var o;
    if ($[this.mode][t]) {
      this.settings.strict && this.mode === "math" && st.indexOf(t) >= 0 && this.settings.reportNonstrict("unicodeTextInMathMode", 'Latin-1/Unicode text character "' + t[0] + '" used in math mode', e);
      var h = $[this.mode][t].group, c = u0.range(e), p;
      if (ja.hasOwnProperty(h)) {
        var g = h;
        p = {
          type: "atom",
          mode: this.mode,
          family: g,
          loc: c,
          text: t
        };
      } else
        p = {
          type: h,
          mode: this.mode,
          loc: c,
          text: t
        };
      o = p;
    } else if (t.charCodeAt(0) >= 128)
      this.settings.strict && (vr(t.charCodeAt(0)) ? this.mode === "math" && 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)), o = {
        type: "textord",
        mode: "text",
        loc: u0.range(e),
        text: t
      };
    else
      return null;
    if (this.consume(), s)
      for (var y = 0; y < s[0].length; y++) {
        var w = s[0][y];
        if (!rt[w])
          throw new M("Unknown accent ' " + w + "'", e);
        var x = rt[w][this.mode] || rt[w].text;
        if (!x)
          throw new M("Accent " + w + " unsupported in " + this.mode + " mode", e);
        o = {
          type: "accent",
          mode: this.mode,
          loc: u0.range(e),
          label: x,
          isStretchy: !1,
          isShifty: !0,
          // $FlowFixMe
          base: o
        };
      }
    return o;
  }
}
ue.endOfExpression = ["}", "\\endgroup", "\\end", "\\right", "&"];
var Ct = function(e, t) {
  if (!(typeof e == "string" || e instanceof String))
    throw new TypeError("KaTeX can only parse string typed expression");
  var a = new ue(e, t);
  delete a.gullet.macros.current["\\df@tag"];
  var n = a.parse();
  if (delete a.gullet.macros.current["\\current@color"], delete a.gullet.macros.current["\\color"], a.gullet.macros.get("\\df@tag")) {
    if (!t.displayMode)
      throw new M("\\tag works only in display equations");
    n = [{
      type: "tag",
      mode: "text",
      body: n,
      tag: a.subparse([new x0("\\df@tag")])
    }];
  }
  return n;
}, oa = function(e, t, a) {
  t.textContent = "";
  var n = Nt(e, a).toNode();
  t.appendChild(n);
};
typeof document < "u" && document.compatMode !== "CSS1Compat" && (typeof console < "u" && console.warn("Warning: KaTeX doesn't work in quirks mode. Make sure your website has a suitable doctype."), oa = function() {
  throw new M("KaTeX doesn't work in quirks mode.");
});
var l4 = function(e, t) {
  var a = Nt(e, t).toMarkup();
  return a;
}, o4 = function(e, t) {
  var a = new ct(t);
  return Ct(e, a);
}, ua = function(e, t, a) {
  if (a.throwOnError || !(e instanceof M))
    throw e;
  var n = b.makeSpan(["katex-error"], [new f0(t)]);
  return n.setAttribute("title", e.toString()), n.setAttribute("style", "color:" + a.errorColor), n;
}, Nt = function(e, t) {
  var a = new ct(t);
  try {
    var n = Ct(e, a);
    return g1(n, e, a);
  } catch (s) {
    return ua(s, e, a);
  }
}, u4 = function(e, t) {
  var a = new ct(t);
  try {
    var n = Ct(e, a);
    return b1(n, e, a);
  } catch (s) {
    return ua(s, e, a);
  }
}, h4 = {
  /**
   * Current KaTeX version
   */
  version: "0.16.9",
  /**
   * Renders the given LaTeX into an HTML+MathML combination, and adds
   * it as a child to the specified DOM node.
   */
  render: oa,
  /**
   * Renders the given LaTeX into an HTML+MathML combination string,
   * for sending to the client.
   */
  renderToString: l4,
  /**
   * KaTeX error, usually during parsing.
   */
  ParseError: M,
  /**
   * The shema of Settings
   */
  SETTINGS_SCHEMA: Ae,
  /**
   * Parses the given LaTeX into KaTeX's internal parse tree structure,
   * without rendering to HTML or MathML.
   *
   * NOTE: This method is not currently recommended for public use.
   * The internal tree representation is unstable and is very likely
   * to change. Use at your own risk.
   */
  __parse: o4,
  /**
   * Renders the given LaTeX into an HTML+MathML internal DOM tree
   * representation, without flattening that representation to a string.
   *
   * NOTE: This method is not currently recommended for public use.
   * The internal tree representation is unstable and is very likely
   * to change. Use at your own risk.
   */
  __renderToDomTree: Nt,
  /**
   * Renders the given LaTeX into an HTML internal DOM tree representation,
   * without MathML and without flattening that representation to a string.
   *
   * NOTE: This method is not currently recommended for public use.
   * The internal tree representation is unstable and is very likely
   * to change. Use at your own risk.
   */
  __renderToHTMLTree: u4,
  /**
   * extends internal font metrics object with a new object
   * each key in the new object represents a font name
  */
  __setFontMetrics: Ga,
  /**
   * adds a new symbol to builtin symbols table
   */
  __defineSymbol: i,
  /**
   * adds a new function to builtin function list,
   * which directly produce parse tree elements
   * and have their own html/mathml builders
   */
  __defineFunction: B,
  /**
   * adds a new macro to builtin macro list
   */
  __defineMacro: m,
  /**
   * Expose the dom tree node types, which can be useful for type checking nodes.
   *
   * NOTE: This method is not currently recommended for public use.
   * The internal tree representation is unstable and is very likely
   * to change. Use at your own risk.
   */
  __domTree: {
    Span: me,
    Anchor: pt,
    SymbolNode: f0,
    SvgNode: D0,
    PathNode: P0,
    LineNode: it
  }
};
export {
  h4 as default
};