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# coding: utf-8from __future__ import unicode_literals
import binasciiimport collectionsimport emailimport getpassimport ioimport optparseimport osimport reimport shleximport shutilimport socketimport structimport subprocessimport sysimport itertoolsimport xml.etree.ElementTree
try: import urllib.request as compat_urllib_requestexcept ImportError: # Python 2 import urllib2 as compat_urllib_request
try: import urllib.error as compat_urllib_errorexcept ImportError: # Python 2 import urllib2 as compat_urllib_error
try: import urllib.parse as compat_urllib_parseexcept ImportError: # Python 2 import urllib as compat_urllib_parse
try: from urllib.parse import urlparse as compat_urllib_parse_urlparseexcept ImportError: # Python 2 from urlparse import urlparse as compat_urllib_parse_urlparse
try: import urllib.parse as compat_urlparseexcept ImportError: # Python 2 import urlparse as compat_urlparse
try: import urllib.response as compat_urllib_responseexcept ImportError: # Python 2 import urllib as compat_urllib_response
try: import http.cookiejar as compat_cookiejarexcept ImportError: # Python 2 import cookielib as compat_cookiejar
try: import http.cookies as compat_cookiesexcept ImportError: # Python 2 import Cookie as compat_cookies
try: import html.entities as compat_html_entitiesexcept ImportError: # Python 2 import htmlentitydefs as compat_html_entities
try: # Python >= 3.3 compat_html_entities_html5 = compat_html_entities.html5except AttributeError: # Copied from CPython 3.5.1 html/entities.py compat_html_entities_html5 = { 'Aacute': '\xc1', 'aacute': '\xe1', 'Aacute;': '\xc1', 'aacute;': '\xe1', 'Abreve;': '\u0102', 'abreve;': '\u0103', 'ac;': '\u223e', 'acd;': '\u223f', 'acE;': '\u223e\u0333', 'Acirc': '\xc2', 'acirc': '\xe2', 'Acirc;': '\xc2', 'acirc;': '\xe2', 'acute': '\xb4', 'acute;': '\xb4', 'Acy;': '\u0410', 'acy;': '\u0430', 'AElig': '\xc6', 'aelig': '\xe6', 'AElig;': '\xc6', 'aelig;': '\xe6', 'af;': '\u2061', 'Afr;': '\U0001d504', 'afr;': '\U0001d51e', 'Agrave': '\xc0', 'agrave': '\xe0', 'Agrave;': '\xc0', 'agrave;': '\xe0', 'alefsym;': '\u2135', 'aleph;': '\u2135', 'Alpha;': '\u0391', 'alpha;': '\u03b1', 'Amacr;': '\u0100', 'amacr;': '\u0101', 'amalg;': '\u2a3f', 'AMP': '&', 'amp': '&', 'AMP;': '&', 'amp;': '&', 'And;': '\u2a53', 'and;': '\u2227', 'andand;': '\u2a55', 'andd;': '\u2a5c', 'andslope;': '\u2a58', 'andv;': '\u2a5a', 'ang;': '\u2220', 'ange;': '\u29a4', 'angle;': '\u2220', 'angmsd;': '\u2221', 'angmsdaa;': '\u29a8', 'angmsdab;': '\u29a9', 'angmsdac;': '\u29aa', 'angmsdad;': '\u29ab', 'angmsdae;': '\u29ac', 'angmsdaf;': '\u29ad', 'angmsdag;': '\u29ae', 'angmsdah;': '\u29af', 'angrt;': '\u221f', 'angrtvb;': '\u22be', 'angrtvbd;': '\u299d', 'angsph;': '\u2222', 'angst;': '\xc5', 'angzarr;': '\u237c', 'Aogon;': '\u0104', 'aogon;': '\u0105', 'Aopf;': '\U0001d538', 'aopf;': '\U0001d552', 'ap;': '\u2248', 'apacir;': '\u2a6f', 'apE;': '\u2a70', 'ape;': '\u224a', 'apid;': '\u224b', 'apos;': "'", 'ApplyFunction;': '\u2061', 'approx;': '\u2248', 'approxeq;': '\u224a', 'Aring': '\xc5', 'aring': '\xe5', 'Aring;': '\xc5', 'aring;': '\xe5', 'Ascr;': '\U0001d49c', 'ascr;': '\U0001d4b6', 'Assign;': '\u2254', 'ast;': '*', 'asymp;': '\u2248', 'asympeq;': '\u224d', 'Atilde': '\xc3', 'atilde': '\xe3', 'Atilde;': '\xc3', 'atilde;': '\xe3', 'Auml': '\xc4', 'auml': '\xe4', 'Auml;': '\xc4', 'auml;': '\xe4', 'awconint;': '\u2233', 'awint;': '\u2a11', 'backcong;': '\u224c', 'backepsilon;': '\u03f6', 'backprime;': '\u2035', 'backsim;': '\u223d', 'backsimeq;': '\u22cd', 'Backslash;': '\u2216', 'Barv;': '\u2ae7', 'barvee;': '\u22bd', 'Barwed;': '\u2306', 'barwed;': '\u2305', 'barwedge;': '\u2305', 'bbrk;': '\u23b5', 'bbrktbrk;': '\u23b6', 'bcong;': '\u224c', 'Bcy;': '\u0411', 'bcy;': '\u0431', 'bdquo;': '\u201e', 'becaus;': '\u2235', 'Because;': '\u2235', 'because;': '\u2235', 'bemptyv;': '\u29b0', 'bepsi;': '\u03f6', 'bernou;': '\u212c', 'Bernoullis;': '\u212c', 'Beta;': '\u0392', 'beta;': '\u03b2', 'beth;': '\u2136', 'between;': '\u226c', 'Bfr;': '\U0001d505', 'bfr;': '\U0001d51f', 'bigcap;': '\u22c2', 'bigcirc;': '\u25ef', 'bigcup;': '\u22c3', 'bigodot;': '\u2a00', 'bigoplus;': '\u2a01', 'bigotimes;': '\u2a02', 'bigsqcup;': '\u2a06', 'bigstar;': '\u2605', 'bigtriangledown;': '\u25bd', 'bigtriangleup;': '\u25b3', 'biguplus;': '\u2a04', 'bigvee;': '\u22c1', 'bigwedge;': '\u22c0', 'bkarow;': '\u290d', 'blacklozenge;': '\u29eb', 'blacksquare;': '\u25aa', 'blacktriangle;': '\u25b4', 'blacktriangledown;': '\u25be', 'blacktriangleleft;': '\u25c2', 'blacktriangleright;': '\u25b8', 'blank;': '\u2423', 'blk12;': '\u2592', 'blk14;': '\u2591', 'blk34;': '\u2593', 'block;': '\u2588', 'bne;': '=\u20e5', 'bnequiv;': '\u2261\u20e5', 'bNot;': '\u2aed', 'bnot;': '\u2310', 'Bopf;': '\U0001d539', 'bopf;': '\U0001d553', 'bot;': '\u22a5', 'bottom;': '\u22a5', 'bowtie;': '\u22c8', 'boxbox;': '\u29c9', 'boxDL;': '\u2557', 'boxDl;': '\u2556', 'boxdL;': '\u2555', 'boxdl;': '\u2510', 'boxDR;': '\u2554', 'boxDr;': '\u2553', 'boxdR;': '\u2552', 'boxdr;': '\u250c', 'boxH;': '\u2550', 'boxh;': '\u2500', 'boxHD;': '\u2566', 'boxHd;': '\u2564', 'boxhD;': '\u2565', 'boxhd;': '\u252c', 'boxHU;': '\u2569', 'boxHu;': '\u2567', 'boxhU;': '\u2568', 'boxhu;': '\u2534', 'boxminus;': '\u229f', 'boxplus;': '\u229e', 'boxtimes;': '\u22a0', 'boxUL;': '\u255d', 'boxUl;': '\u255c', 'boxuL;': '\u255b', 'boxul;': '\u2518', 'boxUR;': '\u255a', 'boxUr;': '\u2559', 'boxuR;': '\u2558', 'boxur;': '\u2514', 'boxV;': '\u2551', 'boxv;': '\u2502', 'boxVH;': '\u256c', 'boxVh;': '\u256b', 'boxvH;': '\u256a', 'boxvh;': '\u253c', 'boxVL;': '\u2563', 'boxVl;': '\u2562', 'boxvL;': '\u2561', 'boxvl;': '\u2524', 'boxVR;': '\u2560', 'boxVr;': '\u255f', 'boxvR;': '\u255e', 'boxvr;': '\u251c', 'bprime;': '\u2035', 'Breve;': '\u02d8', 'breve;': '\u02d8', 'brvbar': '\xa6', 'brvbar;': '\xa6', 'Bscr;': '\u212c', 'bscr;': '\U0001d4b7', 'bsemi;': '\u204f', 'bsim;': '\u223d', 'bsime;': '\u22cd', 'bsol;': '\\', 'bsolb;': '\u29c5', 'bsolhsub;': '\u27c8', 'bull;': '\u2022', 'bullet;': '\u2022', 'bump;': '\u224e', 'bumpE;': '\u2aae', 'bumpe;': '\u224f', 'Bumpeq;': '\u224e', 'bumpeq;': '\u224f', 'Cacute;': '\u0106', 'cacute;': '\u0107', 'Cap;': '\u22d2', 'cap;': '\u2229', 'capand;': '\u2a44', 'capbrcup;': '\u2a49', 'capcap;': '\u2a4b', 'capcup;': '\u2a47', 'capdot;': '\u2a40', 'CapitalDifferentialD;': '\u2145', 'caps;': '\u2229\ufe00', 'caret;': '\u2041', 'caron;': '\u02c7', 'Cayleys;': '\u212d', 'ccaps;': '\u2a4d', 'Ccaron;': '\u010c', 'ccaron;': '\u010d', 'Ccedil': '\xc7', 'ccedil': '\xe7', 'Ccedil;': '\xc7', 'ccedil;': '\xe7', 'Ccirc;': '\u0108', 'ccirc;': '\u0109', 'Cconint;': '\u2230', 'ccups;': '\u2a4c', 'ccupssm;': '\u2a50', 'Cdot;': '\u010a', 'cdot;': '\u010b', 'cedil': '\xb8', 'cedil;': '\xb8', 'Cedilla;': '\xb8', 'cemptyv;': '\u29b2', 'cent': '\xa2', 'cent;': '\xa2', 'CenterDot;': '\xb7', 'centerdot;': '\xb7', 'Cfr;': '\u212d', 'cfr;': '\U0001d520', 'CHcy;': '\u0427', 'chcy;': '\u0447', 'check;': '\u2713', 'checkmark;': '\u2713', 'Chi;': '\u03a7', 'chi;': '\u03c7', 'cir;': '\u25cb', 'circ;': '\u02c6', 'circeq;': '\u2257', 'circlearrowleft;': '\u21ba', 'circlearrowright;': '\u21bb', 'circledast;': '\u229b', 'circledcirc;': '\u229a', 'circleddash;': '\u229d', 'CircleDot;': '\u2299', 'circledR;': '\xae', 'circledS;': '\u24c8', 'CircleMinus;': '\u2296', 'CirclePlus;': '\u2295', 'CircleTimes;': '\u2297', 'cirE;': '\u29c3', 'cire;': '\u2257', 'cirfnint;': '\u2a10', 'cirmid;': '\u2aef', 'cirscir;': '\u29c2', 'ClockwiseContourIntegral;': '\u2232', 'CloseCurlyDoubleQuote;': '\u201d', 'CloseCurlyQuote;': '\u2019', 'clubs;': '\u2663', 'clubsuit;': '\u2663', 'Colon;': '\u2237', 'colon;': ':', 'Colone;': '\u2a74', 'colone;': '\u2254', 'coloneq;': '\u2254', 'comma;': ',', 'commat;': '@', 'comp;': '\u2201', 'compfn;': '\u2218', 'complement;': '\u2201', 'complexes;': '\u2102', 'cong;': '\u2245', 'congdot;': '\u2a6d', 'Congruent;': '\u2261', 'Conint;': '\u222f', 'conint;': '\u222e', 'ContourIntegral;': '\u222e', 'Copf;': '\u2102', 'copf;': '\U0001d554', 'coprod;': '\u2210', 'Coproduct;': '\u2210', 'COPY': '\xa9', 'copy': '\xa9', 'COPY;': '\xa9', 'copy;': '\xa9', 'copysr;': '\u2117', 'CounterClockwiseContourIntegral;': '\u2233', 'crarr;': '\u21b5', 'Cross;': '\u2a2f', 'cross;': '\u2717', 'Cscr;': '\U0001d49e', 'cscr;': '\U0001d4b8', 'csub;': '\u2acf', 'csube;': '\u2ad1', 'csup;': '\u2ad0', 'csupe;': '\u2ad2', 'ctdot;': '\u22ef', 'cudarrl;': '\u2938', 'cudarrr;': '\u2935', 'cuepr;': '\u22de', 'cuesc;': '\u22df', 'cularr;': '\u21b6', 'cularrp;': '\u293d', 'Cup;': '\u22d3', 'cup;': '\u222a', 'cupbrcap;': '\u2a48', 'CupCap;': '\u224d', 'cupcap;': '\u2a46', 'cupcup;': '\u2a4a', 'cupdot;': '\u228d', 'cupor;': '\u2a45', 'cups;': '\u222a\ufe00', 'curarr;': '\u21b7', 'curarrm;': '\u293c', 'curlyeqprec;': '\u22de', 'curlyeqsucc;': '\u22df', 'curlyvee;': '\u22ce', 'curlywedge;': '\u22cf', 'curren': '\xa4', 'curren;': '\xa4', 'curvearrowleft;': '\u21b6', 'curvearrowright;': '\u21b7', 'cuvee;': '\u22ce', 'cuwed;': '\u22cf', 'cwconint;': '\u2232', 'cwint;': '\u2231', 'cylcty;': '\u232d', 'Dagger;': '\u2021', 'dagger;': '\u2020', 'daleth;': '\u2138', 'Darr;': '\u21a1', 'dArr;': '\u21d3', 'darr;': '\u2193', 'dash;': '\u2010', 'Dashv;': '\u2ae4', 'dashv;': '\u22a3', 'dbkarow;': '\u290f', 'dblac;': '\u02dd', 'Dcaron;': '\u010e', 'dcaron;': '\u010f', 'Dcy;': '\u0414', 'dcy;': '\u0434', 'DD;': '\u2145', 'dd;': '\u2146', 'ddagger;': '\u2021', 'ddarr;': '\u21ca', 'DDotrahd;': '\u2911', 'ddotseq;': '\u2a77', 'deg': '\xb0', 'deg;': '\xb0', 'Del;': '\u2207', 'Delta;': '\u0394', 'delta;': '\u03b4', 'demptyv;': '\u29b1', 'dfisht;': '\u297f', 'Dfr;': '\U0001d507', 'dfr;': '\U0001d521', 'dHar;': '\u2965', 'dharl;': '\u21c3', 'dharr;': '\u21c2', 'DiacriticalAcute;': '\xb4', 'DiacriticalDot;': '\u02d9', 'DiacriticalDoubleAcute;': '\u02dd', 'DiacriticalGrave;': '`', 'DiacriticalTilde;': '\u02dc', 'diam;': '\u22c4', 'Diamond;': '\u22c4', 'diamond;': '\u22c4', 'diamondsuit;': '\u2666', 'diams;': '\u2666', 'die;': '\xa8', 'DifferentialD;': '\u2146', 'digamma;': '\u03dd', 'disin;': '\u22f2', 'div;': '\xf7', 'divide': '\xf7', 'divide;': '\xf7', 'divideontimes;': '\u22c7', 'divonx;': '\u22c7', 'DJcy;': '\u0402', 'djcy;': '\u0452', 'dlcorn;': '\u231e', 'dlcrop;': '\u230d', 'dollar;': '$', 'Dopf;': '\U0001d53b', 'dopf;': '\U0001d555', 'Dot;': '\xa8', 'dot;': '\u02d9', 'DotDot;': '\u20dc', 'doteq;': '\u2250', 'doteqdot;': '\u2251', 'DotEqual;': '\u2250', 'dotminus;': '\u2238', 'dotplus;': '\u2214', 'dotsquare;': '\u22a1', 'doublebarwedge;': '\u2306', 'DoubleContourIntegral;': '\u222f', 'DoubleDot;': '\xa8', 'DoubleDownArrow;': '\u21d3', 'DoubleLeftArrow;': '\u21d0', 'DoubleLeftRightArrow;': '\u21d4', 'DoubleLeftTee;': '\u2ae4', 'DoubleLongLeftArrow;': '\u27f8', 'DoubleLongLeftRightArrow;': '\u27fa', 'DoubleLongRightArrow;': '\u27f9', 'DoubleRightArrow;': '\u21d2', 'DoubleRightTee;': '\u22a8', 'DoubleUpArrow;': '\u21d1', 'DoubleUpDownArrow;': '\u21d5', 'DoubleVerticalBar;': '\u2225', 'DownArrow;': '\u2193', 'Downarrow;': '\u21d3', 'downarrow;': '\u2193', 'DownArrowBar;': '\u2913', 'DownArrowUpArrow;': '\u21f5', 'DownBreve;': '\u0311', 'downdownarrows;': '\u21ca', 'downharpoonleft;': '\u21c3', 'downharpoonright;': '\u21c2', 'DownLeftRightVector;': '\u2950', 'DownLeftTeeVector;': '\u295e', 'DownLeftVector;': '\u21bd', 'DownLeftVectorBar;': '\u2956', 'DownRightTeeVector;': '\u295f', 'DownRightVector;': '\u21c1', 'DownRightVectorBar;': '\u2957', 'DownTee;': '\u22a4', 'DownTeeArrow;': '\u21a7', 'drbkarow;': '\u2910', 'drcorn;': '\u231f', 'drcrop;': '\u230c', 'Dscr;': '\U0001d49f', 'dscr;': '\U0001d4b9', 'DScy;': '\u0405', 'dscy;': '\u0455', 'dsol;': '\u29f6', 'Dstrok;': '\u0110', 'dstrok;': '\u0111', 'dtdot;': '\u22f1', 'dtri;': '\u25bf', 'dtrif;': '\u25be', 'duarr;': '\u21f5', 'duhar;': '\u296f', 'dwangle;': '\u29a6', 'DZcy;': '\u040f', 'dzcy;': '\u045f', 'dzigrarr;': '\u27ff', 'Eacute': '\xc9', 'eacute': '\xe9', 'Eacute;': '\xc9', 'eacute;': '\xe9', 'easter;': '\u2a6e', 'Ecaron;': '\u011a', 'ecaron;': '\u011b', 'ecir;': '\u2256', 'Ecirc': '\xca', 'ecirc': '\xea', 'Ecirc;': '\xca', 'ecirc;': '\xea', 'ecolon;': '\u2255', 'Ecy;': '\u042d', 'ecy;': '\u044d', 'eDDot;': '\u2a77', 'Edot;': '\u0116', 'eDot;': '\u2251', 'edot;': '\u0117', 'ee;': '\u2147', 'efDot;': '\u2252', 'Efr;': '\U0001d508', 'efr;': '\U0001d522', 'eg;': '\u2a9a', 'Egrave': '\xc8', 'egrave': '\xe8', 'Egrave;': '\xc8', 'egrave;': '\xe8', 'egs;': '\u2a96', 'egsdot;': '\u2a98', 'el;': '\u2a99', 'Element;': '\u2208', 'elinters;': '\u23e7', 'ell;': '\u2113', 'els;': '\u2a95', 'elsdot;': '\u2a97', 'Emacr;': '\u0112', 'emacr;': '\u0113', 'empty;': '\u2205', 'emptyset;': '\u2205', 'EmptySmallSquare;': '\u25fb', 'emptyv;': '\u2205', 'EmptyVerySmallSquare;': '\u25ab', 'emsp13;': '\u2004', 'emsp14;': '\u2005', 'emsp;': '\u2003', 'ENG;': '\u014a', 'eng;': '\u014b', 'ensp;': '\u2002', 'Eogon;': '\u0118', 'eogon;': '\u0119', 'Eopf;': '\U0001d53c', 'eopf;': '\U0001d556', 'epar;': '\u22d5', 'eparsl;': '\u29e3', 'eplus;': '\u2a71', 'epsi;': '\u03b5', 'Epsilon;': '\u0395', 'epsilon;': '\u03b5', 'epsiv;': '\u03f5', 'eqcirc;': '\u2256', 'eqcolon;': '\u2255', 'eqsim;': '\u2242', 'eqslantgtr;': '\u2a96', 'eqslantless;': '\u2a95', 'Equal;': '\u2a75', 'equals;': '=', 'EqualTilde;': '\u2242', 'equest;': '\u225f', 'Equilibrium;': '\u21cc', 'equiv;': '\u2261', 'equivDD;': '\u2a78', 'eqvparsl;': '\u29e5', 'erarr;': '\u2971', 'erDot;': '\u2253', 'Escr;': '\u2130', 'escr;': '\u212f', 'esdot;': '\u2250', 'Esim;': '\u2a73', 'esim;': '\u2242', 'Eta;': '\u0397', 'eta;': '\u03b7', 'ETH': '\xd0', 'eth': '\xf0', 'ETH;': '\xd0', 'eth;': '\xf0', 'Euml': '\xcb', 'euml': '\xeb', 'Euml;': '\xcb', 'euml;': '\xeb', 'euro;': '\u20ac', 'excl;': '!', 'exist;': '\u2203', 'Exists;': '\u2203', 'expectation;': '\u2130', 'ExponentialE;': '\u2147', 'exponentiale;': '\u2147', 'fallingdotseq;': '\u2252', 'Fcy;': '\u0424', 'fcy;': '\u0444', 'female;': '\u2640', 'ffilig;': '\ufb03', 'fflig;': '\ufb00', 'ffllig;': '\ufb04', 'Ffr;': '\U0001d509', 'ffr;': '\U0001d523', 'filig;': '\ufb01', 'FilledSmallSquare;': '\u25fc', 'FilledVerySmallSquare;': '\u25aa', 'fjlig;': 'fj', 'flat;': '\u266d', 'fllig;': '\ufb02', 'fltns;': '\u25b1', 'fnof;': '\u0192', 'Fopf;': '\U0001d53d', 'fopf;': '\U0001d557', 'ForAll;': '\u2200', 'forall;': '\u2200', 'fork;': '\u22d4', 'forkv;': '\u2ad9', 'Fouriertrf;': '\u2131', 'fpartint;': '\u2a0d', 'frac12': '\xbd', 'frac12;': '\xbd', 'frac13;': '\u2153', 'frac14': '\xbc', 'frac14;': '\xbc', 'frac15;': '\u2155', 'frac16;': '\u2159', 'frac18;': '\u215b', 'frac23;': '\u2154', 'frac25;': '\u2156', 'frac34': '\xbe', 'frac34;': '\xbe', 'frac35;': '\u2157', 'frac38;': '\u215c', 'frac45;': '\u2158', 'frac56;': '\u215a', 'frac58;': '\u215d', 'frac78;': '\u215e', 'frasl;': '\u2044', 'frown;': '\u2322', 'Fscr;': '\u2131', 'fscr;': '\U0001d4bb', 'gacute;': '\u01f5', 'Gamma;': '\u0393', 'gamma;': '\u03b3', 'Gammad;': '\u03dc', 'gammad;': '\u03dd', 'gap;': '\u2a86', 'Gbreve;': '\u011e', 'gbreve;': '\u011f', 'Gcedil;': '\u0122', 'Gcirc;': '\u011c', 'gcirc;': '\u011d', 'Gcy;': '\u0413', 'gcy;': '\u0433', 'Gdot;': '\u0120', 'gdot;': '\u0121', 'gE;': '\u2267', 'ge;': '\u2265', 'gEl;': '\u2a8c', 'gel;': '\u22db', 'geq;': '\u2265', 'geqq;': '\u2267', 'geqslant;': '\u2a7e', 'ges;': '\u2a7e', 'gescc;': '\u2aa9', 'gesdot;': '\u2a80', 'gesdoto;': '\u2a82', 'gesdotol;': '\u2a84', 'gesl;': '\u22db\ufe00', 'gesles;': '\u2a94', 'Gfr;': '\U0001d50a', 'gfr;': '\U0001d524', 'Gg;': '\u22d9', 'gg;': '\u226b', 'ggg;': '\u22d9', 'gimel;': '\u2137', 'GJcy;': '\u0403', 'gjcy;': '\u0453', 'gl;': '\u2277', 'gla;': '\u2aa5', 'glE;': '\u2a92', 'glj;': '\u2aa4', 'gnap;': '\u2a8a', 'gnapprox;': '\u2a8a', 'gnE;': '\u2269', 'gne;': '\u2a88', 'gneq;': '\u2a88', 'gneqq;': '\u2269', 'gnsim;': '\u22e7', 'Gopf;': '\U0001d53e', 'gopf;': '\U0001d558', 'grave;': '`', 'GreaterEqual;': '\u2265', 'GreaterEqualLess;': '\u22db', 'GreaterFullEqual;': '\u2267', 'GreaterGreater;': '\u2aa2', 'GreaterLess;': '\u2277', 'GreaterSlantEqual;': '\u2a7e', 'GreaterTilde;': '\u2273', 'Gscr;': '\U0001d4a2', 'gscr;': '\u210a', 'gsim;': '\u2273', 'gsime;': '\u2a8e', 'gsiml;': '\u2a90', 'GT': '>', 'gt': '>', 'GT;': '>', 'Gt;': '\u226b', 'gt;': '>', 'gtcc;': '\u2aa7', 'gtcir;': '\u2a7a', 'gtdot;': '\u22d7', 'gtlPar;': '\u2995', 'gtquest;': '\u2a7c', 'gtrapprox;': '\u2a86', 'gtrarr;': '\u2978', 'gtrdot;': '\u22d7', 'gtreqless;': '\u22db', 'gtreqqless;': '\u2a8c', 'gtrless;': '\u2277', 'gtrsim;': '\u2273', 'gvertneqq;': '\u2269\ufe00', 'gvnE;': '\u2269\ufe00', 'Hacek;': '\u02c7', 'hairsp;': '\u200a', 'half;': '\xbd', 'hamilt;': '\u210b', 'HARDcy;': '\u042a', 'hardcy;': '\u044a', 'hArr;': '\u21d4', 'harr;': '\u2194', 'harrcir;': '\u2948', 'harrw;': '\u21ad', 'Hat;': '^', 'hbar;': '\u210f', 'Hcirc;': '\u0124', 'hcirc;': '\u0125', 'hearts;': '\u2665', 'heartsuit;': '\u2665', 'hellip;': '\u2026', 'hercon;': '\u22b9', 'Hfr;': '\u210c', 'hfr;': '\U0001d525', 'HilbertSpace;': '\u210b', 'hksearow;': '\u2925', 'hkswarow;': '\u2926', 'hoarr;': '\u21ff', 'homtht;': '\u223b', 'hookleftarrow;': '\u21a9', 'hookrightarrow;': '\u21aa', 'Hopf;': '\u210d', 'hopf;': '\U0001d559', 'horbar;': '\u2015', 'HorizontalLine;': '\u2500', 'Hscr;': '\u210b', 'hscr;': '\U0001d4bd', 'hslash;': '\u210f', 'Hstrok;': '\u0126', 'hstrok;': '\u0127', 'HumpDownHump;': '\u224e', 'HumpEqual;': '\u224f', 'hybull;': '\u2043', 'hyphen;': '\u2010', 'Iacute': '\xcd', 'iacute': '\xed', 'Iacute;': '\xcd', 'iacute;': '\xed', 'ic;': '\u2063', 'Icirc': '\xce', 'icirc': '\xee', 'Icirc;': '\xce', 'icirc;': '\xee', 'Icy;': '\u0418', 'icy;': '\u0438', 'Idot;': '\u0130', 'IEcy;': '\u0415', 'iecy;': '\u0435', 'iexcl': '\xa1', 'iexcl;': '\xa1', 'iff;': '\u21d4', 'Ifr;': '\u2111', 'ifr;': '\U0001d526', 'Igrave': '\xcc', 'igrave': '\xec', 'Igrave;': '\xcc', 'igrave;': '\xec', 'ii;': '\u2148', 'iiiint;': '\u2a0c', 'iiint;': '\u222d', 'iinfin;': '\u29dc', 'iiota;': '\u2129', 'IJlig;': '\u0132', 'ijlig;': '\u0133', 'Im;': '\u2111', 'Imacr;': '\u012a', 'imacr;': '\u012b', 'image;': '\u2111', 'ImaginaryI;': '\u2148', 'imagline;': '\u2110', 'imagpart;': '\u2111', 'imath;': '\u0131', 'imof;': '\u22b7', 'imped;': '\u01b5', 'Implies;': '\u21d2', 'in;': '\u2208', 'incare;': '\u2105', 'infin;': '\u221e', 'infintie;': '\u29dd', 'inodot;': '\u0131', 'Int;': '\u222c', 'int;': '\u222b', 'intcal;': '\u22ba', 'integers;': '\u2124', 'Integral;': '\u222b', 'intercal;': '\u22ba', 'Intersection;': '\u22c2', 'intlarhk;': '\u2a17', 'intprod;': '\u2a3c', 'InvisibleComma;': '\u2063', 'InvisibleTimes;': '\u2062', 'IOcy;': '\u0401', 'iocy;': '\u0451', 'Iogon;': '\u012e', 'iogon;': '\u012f', 'Iopf;': '\U0001d540', 'iopf;': '\U0001d55a', 'Iota;': '\u0399', 'iota;': '\u03b9', 'iprod;': '\u2a3c', 'iquest': '\xbf', 'iquest;': '\xbf', 'Iscr;': '\u2110', 'iscr;': '\U0001d4be', 'isin;': '\u2208', 'isindot;': '\u22f5', 'isinE;': '\u22f9', 'isins;': '\u22f4', 'isinsv;': '\u22f3', 'isinv;': '\u2208', 'it;': '\u2062', 'Itilde;': '\u0128', 'itilde;': '\u0129', 'Iukcy;': '\u0406', 'iukcy;': '\u0456', 'Iuml': '\xcf', 'iuml': '\xef', 'Iuml;': '\xcf', 'iuml;': '\xef', 'Jcirc;': '\u0134', 'jcirc;': '\u0135', 'Jcy;': '\u0419', 'jcy;': '\u0439', 'Jfr;': '\U0001d50d', 'jfr;': '\U0001d527', 'jmath;': '\u0237', 'Jopf;': '\U0001d541', 'jopf;': '\U0001d55b', 'Jscr;': '\U0001d4a5', 'jscr;': '\U0001d4bf', 'Jsercy;': '\u0408', 'jsercy;': '\u0458', 'Jukcy;': '\u0404', 'jukcy;': '\u0454', 'Kappa;': '\u039a', 'kappa;': '\u03ba', 'kappav;': '\u03f0', 'Kcedil;': '\u0136', 'kcedil;': '\u0137', 'Kcy;': '\u041a', 'kcy;': '\u043a', 'Kfr;': '\U0001d50e', 'kfr;': '\U0001d528', 'kgreen;': '\u0138', 'KHcy;': '\u0425', 'khcy;': '\u0445', 'KJcy;': '\u040c', 'kjcy;': '\u045c', 'Kopf;': '\U0001d542', 'kopf;': '\U0001d55c', 'Kscr;': '\U0001d4a6', 'kscr;': '\U0001d4c0', 'lAarr;': '\u21da', 'Lacute;': '\u0139', 'lacute;': '\u013a', 'laemptyv;': '\u29b4', 'lagran;': '\u2112', 'Lambda;': '\u039b', 'lambda;': '\u03bb', 'Lang;': '\u27ea', 'lang;': '\u27e8', 'langd;': '\u2991', 'langle;': '\u27e8', 'lap;': '\u2a85', 'Laplacetrf;': '\u2112', 'laquo': '\xab', 'laquo;': '\xab', 'Larr;': '\u219e', 'lArr;': '\u21d0', 'larr;': '\u2190', 'larrb;': '\u21e4', 'larrbfs;': '\u291f', 'larrfs;': '\u291d', 'larrhk;': '\u21a9', 'larrlp;': '\u21ab', 'larrpl;': '\u2939', 'larrsim;': '\u2973', 'larrtl;': '\u21a2', 'lat;': '\u2aab', 'lAtail;': '\u291b', 'latail;': '\u2919', 'late;': '\u2aad', 'lates;': '\u2aad\ufe00', 'lBarr;': '\u290e', 'lbarr;': '\u290c', 'lbbrk;': '\u2772', 'lbrace;': '{', 'lbrack;': '[', 'lbrke;': '\u298b', 'lbrksld;': '\u298f', 'lbrkslu;': '\u298d', 'Lcaron;': '\u013d', 'lcaron;': '\u013e', 'Lcedil;': '\u013b', 'lcedil;': '\u013c', 'lceil;': '\u2308', 'lcub;': '{', 'Lcy;': '\u041b', 'lcy;': '\u043b', 'ldca;': '\u2936', 'ldquo;': '\u201c', 'ldquor;': '\u201e', 'ldrdhar;': '\u2967', 'ldrushar;': '\u294b', 'ldsh;': '\u21b2', 'lE;': '\u2266', 'le;': '\u2264', 'LeftAngleBracket;': '\u27e8', 'LeftArrow;': '\u2190', 'Leftarrow;': '\u21d0', 'leftarrow;': '\u2190', 'LeftArrowBar;': '\u21e4', 'LeftArrowRightArrow;': '\u21c6', 'leftarrowtail;': '\u21a2', 'LeftCeiling;': '\u2308', 'LeftDoubleBracket;': '\u27e6', 'LeftDownTeeVector;': '\u2961', 'LeftDownVector;': '\u21c3', 'LeftDownVectorBar;': '\u2959', 'LeftFloor;': '\u230a', 'leftharpoondown;': '\u21bd', 'leftharpoonup;': '\u21bc', 'leftleftarrows;': '\u21c7', 'LeftRightArrow;': '\u2194', 'Leftrightarrow;': '\u21d4', 'leftrightarrow;': '\u2194', 'leftrightarrows;': '\u21c6', 'leftrightharpoons;': '\u21cb', 'leftrightsquigarrow;': '\u21ad', 'LeftRightVector;': '\u294e', 'LeftTee;': '\u22a3', 'LeftTeeArrow;': '\u21a4', 'LeftTeeVector;': '\u295a', 'leftthreetimes;': '\u22cb', 'LeftTriangle;': '\u22b2', 'LeftTriangleBar;': '\u29cf', 'LeftTriangleEqual;': '\u22b4', 'LeftUpDownVector;': '\u2951', 'LeftUpTeeVector;': '\u2960', 'LeftUpVector;': '\u21bf', 'LeftUpVectorBar;': '\u2958', 'LeftVector;': '\u21bc', 'LeftVectorBar;': '\u2952', 'lEg;': '\u2a8b', 'leg;': '\u22da', 'leq;': '\u2264', 'leqq;': '\u2266', 'leqslant;': '\u2a7d', 'les;': '\u2a7d', 'lescc;': '\u2aa8', 'lesdot;': '\u2a7f', 'lesdoto;': '\u2a81', 'lesdotor;': '\u2a83', 'lesg;': '\u22da\ufe00', 'lesges;': '\u2a93', 'lessapprox;': '\u2a85', 'lessdot;': '\u22d6', 'lesseqgtr;': '\u22da', 'lesseqqgtr;': '\u2a8b', 'LessEqualGreater;': '\u22da', 'LessFullEqual;': '\u2266', 'LessGreater;': '\u2276', 'lessgtr;': '\u2276', 'LessLess;': '\u2aa1', 'lesssim;': '\u2272', 'LessSlantEqual;': '\u2a7d', 'LessTilde;': '\u2272', 'lfisht;': '\u297c', 'lfloor;': '\u230a', 'Lfr;': '\U0001d50f', 'lfr;': '\U0001d529', 'lg;': '\u2276', 'lgE;': '\u2a91', 'lHar;': '\u2962', 'lhard;': '\u21bd', 'lharu;': '\u21bc', 'lharul;': '\u296a', 'lhblk;': '\u2584', 'LJcy;': '\u0409', 'ljcy;': '\u0459', 'Ll;': '\u22d8', 'll;': '\u226a', 'llarr;': '\u21c7', 'llcorner;': '\u231e', 'Lleftarrow;': '\u21da', 'llhard;': '\u296b', 'lltri;': '\u25fa', 'Lmidot;': '\u013f', 'lmidot;': '\u0140', 'lmoust;': '\u23b0', 'lmoustache;': '\u23b0', 'lnap;': '\u2a89', 'lnapprox;': '\u2a89', 'lnE;': '\u2268', 'lne;': '\u2a87', 'lneq;': '\u2a87', 'lneqq;': '\u2268', 'lnsim;': '\u22e6', 'loang;': '\u27ec', 'loarr;': '\u21fd', 'lobrk;': '\u27e6', 'LongLeftArrow;': '\u27f5', 'Longleftarrow;': '\u27f8', 'longleftarrow;': '\u27f5', 'LongLeftRightArrow;': '\u27f7', 'Longleftrightarrow;': '\u27fa', 'longleftrightarrow;': '\u27f7', 'longmapsto;': '\u27fc', 'LongRightArrow;': '\u27f6', 'Longrightarrow;': '\u27f9', 'longrightarrow;': '\u27f6', 'looparrowleft;': '\u21ab', 'looparrowright;': '\u21ac', 'lopar;': '\u2985', 'Lopf;': '\U0001d543', 'lopf;': '\U0001d55d', 'loplus;': '\u2a2d', 'lotimes;': '\u2a34', 'lowast;': '\u2217', 'lowbar;': '_', 'LowerLeftArrow;': '\u2199', 'LowerRightArrow;': '\u2198', 'loz;': '\u25ca', 'lozenge;': '\u25ca', 'lozf;': '\u29eb', 'lpar;': '(', 'lparlt;': '\u2993', 'lrarr;': '\u21c6', 'lrcorner;': '\u231f', 'lrhar;': '\u21cb', 'lrhard;': '\u296d', 'lrm;': '\u200e', 'lrtri;': '\u22bf', 'lsaquo;': '\u2039', 'Lscr;': '\u2112', 'lscr;': '\U0001d4c1', 'Lsh;': '\u21b0', 'lsh;': '\u21b0', 'lsim;': '\u2272', 'lsime;': '\u2a8d', 'lsimg;': '\u2a8f', 'lsqb;': '[', 'lsquo;': '\u2018', 'lsquor;': '\u201a', 'Lstrok;': '\u0141', 'lstrok;': '\u0142', 'LT': '<', 'lt': '<', 'LT;': '<', 'Lt;': '\u226a', 'lt;': '<', 'ltcc;': '\u2aa6', 'ltcir;': '\u2a79', 'ltdot;': '\u22d6', 'lthree;': '\u22cb', 'ltimes;': '\u22c9', 'ltlarr;': '\u2976', 'ltquest;': '\u2a7b', 'ltri;': '\u25c3', 'ltrie;': '\u22b4', 'ltrif;': '\u25c2', 'ltrPar;': '\u2996', 'lurdshar;': '\u294a', 'luruhar;': '\u2966', 'lvertneqq;': '\u2268\ufe00', 'lvnE;': '\u2268\ufe00', 'macr': '\xaf', 'macr;': '\xaf', 'male;': '\u2642', 'malt;': '\u2720', 'maltese;': '\u2720', 'Map;': '\u2905', 'map;': '\u21a6', 'mapsto;': '\u21a6', 'mapstodown;': '\u21a7', 'mapstoleft;': '\u21a4', 'mapstoup;': '\u21a5', 'marker;': '\u25ae', 'mcomma;': '\u2a29', 'Mcy;': '\u041c', 'mcy;': '\u043c', 'mdash;': '\u2014', 'mDDot;': '\u223a', 'measuredangle;': '\u2221', 'MediumSpace;': '\u205f', 'Mellintrf;': '\u2133', 'Mfr;': '\U0001d510', 'mfr;': '\U0001d52a', 'mho;': '\u2127', 'micro': '\xb5', 'micro;': '\xb5', 'mid;': '\u2223', 'midast;': '*', 'midcir;': '\u2af0', 'middot': '\xb7', 'middot;': '\xb7', 'minus;': '\u2212', 'minusb;': '\u229f', 'minusd;': '\u2238', 'minusdu;': '\u2a2a', 'MinusPlus;': '\u2213', 'mlcp;': '\u2adb', 'mldr;': '\u2026', 'mnplus;': '\u2213', 'models;': '\u22a7', 'Mopf;': '\U0001d544', 'mopf;': '\U0001d55e', 'mp;': '\u2213', 'Mscr;': '\u2133', 'mscr;': '\U0001d4c2', 'mstpos;': '\u223e', 'Mu;': '\u039c', 'mu;': '\u03bc', 'multimap;': '\u22b8', 'mumap;': '\u22b8', 'nabla;': '\u2207', 'Nacute;': '\u0143', 'nacute;': '\u0144', 'nang;': '\u2220\u20d2', 'nap;': '\u2249', 'napE;': '\u2a70\u0338', 'napid;': '\u224b\u0338', 'napos;': '\u0149', 'napprox;': '\u2249', 'natur;': '\u266e', 'natural;': '\u266e', 'naturals;': '\u2115', 'nbsp': '\xa0', 'nbsp;': '\xa0', 'nbump;': '\u224e\u0338', 'nbumpe;': '\u224f\u0338', 'ncap;': '\u2a43', 'Ncaron;': '\u0147', 'ncaron;': '\u0148', 'Ncedil;': '\u0145', 'ncedil;': '\u0146', 'ncong;': '\u2247', 'ncongdot;': '\u2a6d\u0338', 'ncup;': '\u2a42', 'Ncy;': '\u041d', 'ncy;': '\u043d', 'ndash;': '\u2013', 'ne;': '\u2260', 'nearhk;': '\u2924', 'neArr;': '\u21d7', 'nearr;': '\u2197', 'nearrow;': '\u2197', 'nedot;': '\u2250\u0338', 'NegativeMediumSpace;': '\u200b', 'NegativeThickSpace;': '\u200b', 'NegativeThinSpace;': '\u200b', 'NegativeVeryThinSpace;': '\u200b', 'nequiv;': '\u2262', 'nesear;': '\u2928', 'nesim;': '\u2242\u0338', 'NestedGreaterGreater;': '\u226b', 'NestedLessLess;': '\u226a', 'NewLine;': '\n', 'nexist;': '\u2204', 'nexists;': '\u2204', 'Nfr;': '\U0001d511', 'nfr;': '\U0001d52b', 'ngE;': '\u2267\u0338', 'nge;': '\u2271', 'ngeq;': '\u2271', 'ngeqq;': '\u2267\u0338', 'ngeqslant;': '\u2a7e\u0338', 'nges;': '\u2a7e\u0338', 'nGg;': '\u22d9\u0338', 'ngsim;': '\u2275', 'nGt;': '\u226b\u20d2', 'ngt;': '\u226f', 'ngtr;': '\u226f', 'nGtv;': '\u226b\u0338', 'nhArr;': '\u21ce', 'nharr;': '\u21ae', 'nhpar;': '\u2af2', 'ni;': '\u220b', 'nis;': '\u22fc', 'nisd;': '\u22fa', 'niv;': '\u220b', 'NJcy;': '\u040a', 'njcy;': '\u045a', 'nlArr;': '\u21cd', 'nlarr;': '\u219a', 'nldr;': '\u2025', 'nlE;': '\u2266\u0338', 'nle;': '\u2270', 'nLeftarrow;': '\u21cd', 'nleftarrow;': '\u219a', 'nLeftrightarrow;': '\u21ce', 'nleftrightarrow;': '\u21ae', 'nleq;': '\u2270', 'nleqq;': '\u2266\u0338', 'nleqslant;': '\u2a7d\u0338', 'nles;': '\u2a7d\u0338', 'nless;': '\u226e', 'nLl;': '\u22d8\u0338', 'nlsim;': '\u2274', 'nLt;': '\u226a\u20d2', 'nlt;': '\u226e', 'nltri;': '\u22ea', 'nltrie;': '\u22ec', 'nLtv;': '\u226a\u0338', 'nmid;': '\u2224', 'NoBreak;': '\u2060', 'NonBreakingSpace;': '\xa0', 'Nopf;': '\u2115', 'nopf;': '\U0001d55f', 'not': '\xac', 'Not;': '\u2aec', 'not;': '\xac', 'NotCongruent;': '\u2262', 'NotCupCap;': '\u226d', 'NotDoubleVerticalBar;': '\u2226', 'NotElement;': '\u2209', 'NotEqual;': '\u2260', 'NotEqualTilde;': '\u2242\u0338', 'NotExists;': '\u2204', 'NotGreater;': '\u226f', 'NotGreaterEqual;': '\u2271', 'NotGreaterFullEqual;': '\u2267\u0338', 'NotGreaterGreater;': '\u226b\u0338', 'NotGreaterLess;': '\u2279', 'NotGreaterSlantEqual;': '\u2a7e\u0338', 'NotGreaterTilde;': '\u2275', 'NotHumpDownHump;': '\u224e\u0338', 'NotHumpEqual;': '\u224f\u0338', 'notin;': '\u2209', 'notindot;': '\u22f5\u0338', 'notinE;': '\u22f9\u0338', 'notinva;': '\u2209', 'notinvb;': '\u22f7', 'notinvc;': '\u22f6', 'NotLeftTriangle;': '\u22ea', 'NotLeftTriangleBar;': '\u29cf\u0338', 'NotLeftTriangleEqual;': '\u22ec', 'NotLess;': '\u226e', 'NotLessEqual;': '\u2270', 'NotLessGreater;': '\u2278', 'NotLessLess;': '\u226a\u0338', 'NotLessSlantEqual;': '\u2a7d\u0338', 'NotLessTilde;': '\u2274', 'NotNestedGreaterGreater;': '\u2aa2\u0338', 'NotNestedLessLess;': '\u2aa1\u0338', 'notni;': '\u220c', 'notniva;': '\u220c', 'notnivb;': '\u22fe', 'notnivc;': '\u22fd', 'NotPrecedes;': '\u2280', 'NotPrecedesEqual;': '\u2aaf\u0338', 'NotPrecedesSlantEqual;': '\u22e0', 'NotReverseElement;': '\u220c', 'NotRightTriangle;': '\u22eb', 'NotRightTriangleBar;': '\u29d0\u0338', 'NotRightTriangleEqual;': '\u22ed', 'NotSquareSubset;': '\u228f\u0338', 'NotSquareSubsetEqual;': '\u22e2', 'NotSquareSuperset;': '\u2290\u0338', 'NotSquareSupersetEqual;': '\u22e3', 'NotSubset;': '\u2282\u20d2', 'NotSubsetEqual;': '\u2288', 'NotSucceeds;': '\u2281', 'NotSucceedsEqual;': '\u2ab0\u0338', 'NotSucceedsSlantEqual;': '\u22e1', 'NotSucceedsTilde;': '\u227f\u0338', 'NotSuperset;': '\u2283\u20d2', 'NotSupersetEqual;': '\u2289', 'NotTilde;': '\u2241', 'NotTildeEqual;': '\u2244', 'NotTildeFullEqual;': '\u2247', 'NotTildeTilde;': '\u2249', 'NotVerticalBar;': '\u2224', 'npar;': '\u2226', 'nparallel;': '\u2226', 'nparsl;': '\u2afd\u20e5', 'npart;': '\u2202\u0338', 'npolint;': '\u2a14', 'npr;': '\u2280', 'nprcue;': '\u22e0', 'npre;': '\u2aaf\u0338', 'nprec;': '\u2280', 'npreceq;': '\u2aaf\u0338', 'nrArr;': '\u21cf', 'nrarr;': '\u219b', 'nrarrc;': '\u2933\u0338', 'nrarrw;': '\u219d\u0338', 'nRightarrow;': '\u21cf', 'nrightarrow;': '\u219b', 'nrtri;': '\u22eb', 'nrtrie;': '\u22ed', 'nsc;': '\u2281', 'nsccue;': '\u22e1', 'nsce;': '\u2ab0\u0338', 'Nscr;': '\U0001d4a9', 'nscr;': '\U0001d4c3', 'nshortmid;': '\u2224', 'nshortparallel;': '\u2226', 'nsim;': '\u2241', 'nsime;': '\u2244', 'nsimeq;': '\u2244', 'nsmid;': '\u2224', 'nspar;': '\u2226', 'nsqsube;': '\u22e2', 'nsqsupe;': '\u22e3', 'nsub;': '\u2284', 'nsubE;': '\u2ac5\u0338', 'nsube;': '\u2288', 'nsubset;': '\u2282\u20d2', 'nsubseteq;': '\u2288', 'nsubseteqq;': '\u2ac5\u0338', 'nsucc;': '\u2281', 'nsucceq;': '\u2ab0\u0338', 'nsup;': '\u2285', 'nsupE;': '\u2ac6\u0338', 'nsupe;': '\u2289', 'nsupset;': '\u2283\u20d2', 'nsupseteq;': '\u2289', 'nsupseteqq;': '\u2ac6\u0338', 'ntgl;': '\u2279', 'Ntilde': '\xd1', 'ntilde': '\xf1', 'Ntilde;': '\xd1', 'ntilde;': '\xf1', 'ntlg;': '\u2278', 'ntriangleleft;': '\u22ea', 'ntrianglelefteq;': '\u22ec', 'ntriangleright;': '\u22eb', 'ntrianglerighteq;': '\u22ed', 'Nu;': '\u039d', 'nu;': '\u03bd', 'num;': '#', 'numero;': '\u2116', 'numsp;': '\u2007', 'nvap;': '\u224d\u20d2', 'nVDash;': '\u22af', 'nVdash;': '\u22ae', 'nvDash;': '\u22ad', 'nvdash;': '\u22ac', 'nvge;': '\u2265\u20d2', 'nvgt;': '>\u20d2', 'nvHarr;': '\u2904', 'nvinfin;': '\u29de', 'nvlArr;': '\u2902', 'nvle;': '\u2264\u20d2', 'nvlt;': '<\u20d2', 'nvltrie;': '\u22b4\u20d2', 'nvrArr;': '\u2903', 'nvrtrie;': '\u22b5\u20d2', 'nvsim;': '\u223c\u20d2', 'nwarhk;': '\u2923', 'nwArr;': '\u21d6', 'nwarr;': '\u2196', 'nwarrow;': '\u2196', 'nwnear;': '\u2927', 'Oacute': '\xd3', 'oacute': '\xf3', 'Oacute;': '\xd3', 'oacute;': '\xf3', 'oast;': '\u229b', 'ocir;': '\u229a', 'Ocirc': '\xd4', 'ocirc': '\xf4', 'Ocirc;': '\xd4', 'ocirc;': '\xf4', 'Ocy;': '\u041e', 'ocy;': '\u043e', 'odash;': '\u229d', 'Odblac;': '\u0150', 'odblac;': '\u0151', 'odiv;': '\u2a38', 'odot;': '\u2299', 'odsold;': '\u29bc', 'OElig;': '\u0152', 'oelig;': '\u0153', 'ofcir;': '\u29bf', 'Ofr;': '\U0001d512', 'ofr;': '\U0001d52c', 'ogon;': '\u02db', 'Ograve': '\xd2', 'ograve': '\xf2', 'Ograve;': '\xd2', 'ograve;': '\xf2', 'ogt;': '\u29c1', 'ohbar;': '\u29b5', 'ohm;': '\u03a9', 'oint;': '\u222e', 'olarr;': '\u21ba', 'olcir;': '\u29be', 'olcross;': '\u29bb', 'oline;': '\u203e', 'olt;': '\u29c0', 'Omacr;': '\u014c', 'omacr;': '\u014d', 'Omega;': '\u03a9', 'omega;': '\u03c9', 'Omicron;': '\u039f', 'omicron;': '\u03bf', 'omid;': '\u29b6', 'ominus;': '\u2296', 'Oopf;': '\U0001d546', 'oopf;': '\U0001d560', 'opar;': '\u29b7', 'OpenCurlyDoubleQuote;': '\u201c', 'OpenCurlyQuote;': '\u2018', 'operp;': '\u29b9', 'oplus;': '\u2295', 'Or;': '\u2a54', 'or;': '\u2228', 'orarr;': '\u21bb', 'ord;': '\u2a5d', 'order;': '\u2134', 'orderof;': '\u2134', 'ordf': '\xaa', 'ordf;': '\xaa', 'ordm': '\xba', 'ordm;': '\xba', 'origof;': '\u22b6', 'oror;': '\u2a56', 'orslope;': '\u2a57', 'orv;': '\u2a5b', 'oS;': '\u24c8', 'Oscr;': '\U0001d4aa', 'oscr;': '\u2134', 'Oslash': '\xd8', 'oslash': '\xf8', 'Oslash;': '\xd8', 'oslash;': '\xf8', 'osol;': '\u2298', 'Otilde': '\xd5', 'otilde': '\xf5', 'Otilde;': '\xd5', 'otilde;': '\xf5', 'Otimes;': '\u2a37', 'otimes;': '\u2297', 'otimesas;': '\u2a36', 'Ouml': '\xd6', 'ouml': '\xf6', 'Ouml;': '\xd6', 'ouml;': '\xf6', 'ovbar;': '\u233d', 'OverBar;': '\u203e', 'OverBrace;': '\u23de', 'OverBracket;': '\u23b4', 'OverParenthesis;': '\u23dc', 'par;': '\u2225', 'para': '\xb6', 'para;': '\xb6', 'parallel;': '\u2225', 'parsim;': '\u2af3', 'parsl;': '\u2afd', 'part;': '\u2202', 'PartialD;': '\u2202', 'Pcy;': '\u041f', 'pcy;': '\u043f', 'percnt;': '%', 'period;': '.', 'permil;': '\u2030', 'perp;': '\u22a5', 'pertenk;': '\u2031', 'Pfr;': '\U0001d513', 'pfr;': '\U0001d52d', 'Phi;': '\u03a6', 'phi;': '\u03c6', 'phiv;': '\u03d5', 'phmmat;': '\u2133', 'phone;': '\u260e', 'Pi;': '\u03a0', 'pi;': '\u03c0', 'pitchfork;': '\u22d4', 'piv;': '\u03d6', 'planck;': '\u210f', 'planckh;': '\u210e', 'plankv;': '\u210f', 'plus;': '+', 'plusacir;': '\u2a23', 'plusb;': '\u229e', 'pluscir;': '\u2a22', 'plusdo;': '\u2214', 'plusdu;': '\u2a25', 'pluse;': '\u2a72', 'PlusMinus;': '\xb1', 'plusmn': '\xb1', 'plusmn;': '\xb1', 'plussim;': '\u2a26', 'plustwo;': '\u2a27', 'pm;': '\xb1', 'Poincareplane;': '\u210c', 'pointint;': '\u2a15', 'Popf;': '\u2119', 'popf;': '\U0001d561', 'pound': '\xa3', 'pound;': '\xa3', 'Pr;': '\u2abb', 'pr;': '\u227a', 'prap;': '\u2ab7', 'prcue;': '\u227c', 'prE;': '\u2ab3', 'pre;': '\u2aaf', 'prec;': '\u227a', 'precapprox;': '\u2ab7', 'preccurlyeq;': '\u227c', 'Precedes;': '\u227a', 'PrecedesEqual;': '\u2aaf', 'PrecedesSlantEqual;': '\u227c', 'PrecedesTilde;': '\u227e', 'preceq;': '\u2aaf', 'precnapprox;': '\u2ab9', 'precneqq;': '\u2ab5', 'precnsim;': '\u22e8', 'precsim;': '\u227e', 'Prime;': '\u2033', 'prime;': '\u2032', 'primes;': '\u2119', 'prnap;': '\u2ab9', 'prnE;': '\u2ab5', 'prnsim;': '\u22e8', 'prod;': '\u220f', 'Product;': '\u220f', 'profalar;': '\u232e', 'profline;': '\u2312', 'profsurf;': '\u2313', 'prop;': '\u221d', 'Proportion;': '\u2237', 'Proportional;': '\u221d', 'propto;': '\u221d', 'prsim;': '\u227e', 'prurel;': '\u22b0', 'Pscr;': '\U0001d4ab', 'pscr;': '\U0001d4c5', 'Psi;': '\u03a8', 'psi;': '\u03c8', 'puncsp;': '\u2008', 'Qfr;': '\U0001d514', 'qfr;': '\U0001d52e', 'qint;': '\u2a0c', 'Qopf;': '\u211a', 'qopf;': '\U0001d562', 'qprime;': '\u2057', 'Qscr;': '\U0001d4ac', 'qscr;': '\U0001d4c6', 'quaternions;': '\u210d', 'quatint;': '\u2a16', 'quest;': '?', 'questeq;': '\u225f', 'QUOT': '"', 'quot': '"', 'QUOT;': '"', 'quot;': '"', 'rAarr;': '\u21db', 'race;': '\u223d\u0331', 'Racute;': '\u0154', 'racute;': '\u0155', 'radic;': '\u221a', 'raemptyv;': '\u29b3', 'Rang;': '\u27eb', 'rang;': '\u27e9', 'rangd;': '\u2992', 'range;': '\u29a5', 'rangle;': '\u27e9', 'raquo': '\xbb', 'raquo;': '\xbb', 'Rarr;': '\u21a0', 'rArr;': '\u21d2', 'rarr;': '\u2192', 'rarrap;': '\u2975', 'rarrb;': '\u21e5', 'rarrbfs;': '\u2920', 'rarrc;': '\u2933', 'rarrfs;': '\u291e', 'rarrhk;': '\u21aa', 'rarrlp;': '\u21ac', 'rarrpl;': '\u2945', 'rarrsim;': '\u2974', 'Rarrtl;': '\u2916', 'rarrtl;': '\u21a3', 'rarrw;': '\u219d', 'rAtail;': '\u291c', 'ratail;': '\u291a', 'ratio;': '\u2236', 'rationals;': '\u211a', 'RBarr;': '\u2910', 'rBarr;': '\u290f', 'rbarr;': '\u290d', 'rbbrk;': '\u2773', 'rbrace;': '}', 'rbrack;': ']', 'rbrke;': '\u298c', 'rbrksld;': '\u298e', 'rbrkslu;': '\u2990', 'Rcaron;': '\u0158', 'rcaron;': '\u0159', 'Rcedil;': '\u0156', 'rcedil;': '\u0157', 'rceil;': '\u2309', 'rcub;': '}', 'Rcy;': '\u0420', 'rcy;': '\u0440', 'rdca;': '\u2937', 'rdldhar;': '\u2969', 'rdquo;': '\u201d', 'rdquor;': '\u201d', 'rdsh;': '\u21b3', 'Re;': '\u211c', 'real;': '\u211c', 'realine;': '\u211b', 'realpart;': '\u211c', 'reals;': '\u211d', 'rect;': '\u25ad', 'REG': '\xae', 'reg': '\xae', 'REG;': '\xae', 'reg;': '\xae', 'ReverseElement;': '\u220b', 'ReverseEquilibrium;': '\u21cb', 'ReverseUpEquilibrium;': '\u296f', 'rfisht;': '\u297d', 'rfloor;': '\u230b', 'Rfr;': '\u211c', 'rfr;': '\U0001d52f', 'rHar;': '\u2964', 'rhard;': '\u21c1', 'rharu;': '\u21c0', 'rharul;': '\u296c', 'Rho;': '\u03a1', 'rho;': '\u03c1', 'rhov;': '\u03f1', 'RightAngleBracket;': '\u27e9', 'RightArrow;': '\u2192', 'Rightarrow;': '\u21d2', 'rightarrow;': '\u2192', 'RightArrowBar;': '\u21e5', 'RightArrowLeftArrow;': '\u21c4', 'rightarrowtail;': '\u21a3', 'RightCeiling;': '\u2309', 'RightDoubleBracket;': '\u27e7', 'RightDownTeeVector;': '\u295d', 'RightDownVector;': '\u21c2', 'RightDownVectorBar;': '\u2955', 'RightFloor;': '\u230b', 'rightharpoondown;': '\u21c1', 'rightharpoonup;': '\u21c0', 'rightleftarrows;': '\u21c4', 'rightleftharpoons;': '\u21cc', 'rightrightarrows;': '\u21c9', 'rightsquigarrow;': '\u219d', 'RightTee;': '\u22a2', 'RightTeeArrow;': '\u21a6', 'RightTeeVector;': '\u295b', 'rightthreetimes;': '\u22cc', 'RightTriangle;': '\u22b3', 'RightTriangleBar;': '\u29d0', 'RightTriangleEqual;': '\u22b5', 'RightUpDownVector;': '\u294f', 'RightUpTeeVector;': '\u295c', 'RightUpVector;': '\u21be', 'RightUpVectorBar;': '\u2954', 'RightVector;': '\u21c0', 'RightVectorBar;': '\u2953', 'ring;': '\u02da', 'risingdotseq;': '\u2253', 'rlarr;': '\u21c4', 'rlhar;': '\u21cc', 'rlm;': '\u200f', 'rmoust;': '\u23b1', 'rmoustache;': '\u23b1', 'rnmid;': '\u2aee', 'roang;': '\u27ed', 'roarr;': '\u21fe', 'robrk;': '\u27e7', 'ropar;': '\u2986', 'Ropf;': '\u211d', 'ropf;': '\U0001d563', 'roplus;': '\u2a2e', 'rotimes;': '\u2a35', 'RoundImplies;': '\u2970', 'rpar;': ')', 'rpargt;': '\u2994', 'rppolint;': '\u2a12', 'rrarr;': '\u21c9', 'Rrightarrow;': '\u21db', 'rsaquo;': '\u203a', 'Rscr;': '\u211b', 'rscr;': '\U0001d4c7', 'Rsh;': '\u21b1', 'rsh;': '\u21b1', 'rsqb;': ']', 'rsquo;': '\u2019', 'rsquor;': '\u2019', 'rthree;': '\u22cc', 'rtimes;': '\u22ca', 'rtri;': '\u25b9', 'rtrie;': '\u22b5', 'rtrif;': '\u25b8', 'rtriltri;': '\u29ce', 'RuleDelayed;': '\u29f4', 'ruluhar;': '\u2968', 'rx;': '\u211e', 'Sacute;': '\u015a', 'sacute;': '\u015b', 'sbquo;': '\u201a', 'Sc;': '\u2abc', 'sc;': '\u227b', 'scap;': '\u2ab8', 'Scaron;': '\u0160', 'scaron;': '\u0161', 'sccue;': '\u227d', 'scE;': '\u2ab4', 'sce;': '\u2ab0', 'Scedil;': '\u015e', 'scedil;': '\u015f', 'Scirc;': '\u015c', 'scirc;': '\u015d', 'scnap;': '\u2aba', 'scnE;': '\u2ab6', 'scnsim;': '\u22e9', 'scpolint;': '\u2a13', 'scsim;': '\u227f', 'Scy;': '\u0421', 'scy;': '\u0441', 'sdot;': '\u22c5', 'sdotb;': '\u22a1', 'sdote;': '\u2a66', 'searhk;': '\u2925', 'seArr;': '\u21d8', 'searr;': '\u2198', 'searrow;': '\u2198', 'sect': '\xa7', 'sect;': '\xa7', 'semi;': ';', 'seswar;': '\u2929', 'setminus;': '\u2216', 'setmn;': '\u2216', 'sext;': '\u2736', 'Sfr;': '\U0001d516', 'sfr;': '\U0001d530', 'sfrown;': '\u2322', 'sharp;': '\u266f', 'SHCHcy;': '\u0429', 'shchcy;': '\u0449', 'SHcy;': '\u0428', 'shcy;': '\u0448', 'ShortDownArrow;': '\u2193', 'ShortLeftArrow;': '\u2190', 'shortmid;': '\u2223', 'shortparallel;': '\u2225', 'ShortRightArrow;': '\u2192', 'ShortUpArrow;': '\u2191', 'shy': '\xad', 'shy;': '\xad', 'Sigma;': '\u03a3', 'sigma;': '\u03c3', 'sigmaf;': '\u03c2', 'sigmav;': '\u03c2', 'sim;': '\u223c', 'simdot;': '\u2a6a', 'sime;': '\u2243', 'simeq;': '\u2243', 'simg;': '\u2a9e', 'simgE;': '\u2aa0', 'siml;': '\u2a9d', 'simlE;': '\u2a9f', 'simne;': '\u2246', 'simplus;': '\u2a24', 'simrarr;': '\u2972', 'slarr;': '\u2190', 'SmallCircle;': '\u2218', 'smallsetminus;': '\u2216', 'smashp;': '\u2a33', 'smeparsl;': '\u29e4', 'smid;': '\u2223', 'smile;': '\u2323', 'smt;': '\u2aaa', 'smte;': '\u2aac', 'smtes;': '\u2aac\ufe00', 'SOFTcy;': '\u042c', 'softcy;': '\u044c', 'sol;': '/', 'solb;': '\u29c4', 'solbar;': '\u233f', 'Sopf;': '\U0001d54a', 'sopf;': '\U0001d564', 'spades;': '\u2660', 'spadesuit;': '\u2660', 'spar;': '\u2225', 'sqcap;': '\u2293', 'sqcaps;': '\u2293\ufe00', 'sqcup;': '\u2294', 'sqcups;': '\u2294\ufe00', 'Sqrt;': '\u221a', 'sqsub;': '\u228f', 'sqsube;': '\u2291', 'sqsubset;': '\u228f', 'sqsubseteq;': '\u2291', 'sqsup;': '\u2290', 'sqsupe;': '\u2292', 'sqsupset;': '\u2290', 'sqsupseteq;': '\u2292', 'squ;': '\u25a1', 'Square;': '\u25a1', 'square;': '\u25a1', 'SquareIntersection;': '\u2293', 'SquareSubset;': '\u228f', 'SquareSubsetEqual;': '\u2291', 'SquareSuperset;': '\u2290', 'SquareSupersetEqual;': '\u2292', 'SquareUnion;': '\u2294', 'squarf;': '\u25aa', 'squf;': '\u25aa', 'srarr;': '\u2192', 'Sscr;': '\U0001d4ae', 'sscr;': '\U0001d4c8', 'ssetmn;': '\u2216', 'ssmile;': '\u2323', 'sstarf;': '\u22c6', 'Star;': '\u22c6', 'star;': '\u2606', 'starf;': '\u2605', 'straightepsilon;': '\u03f5', 'straightphi;': '\u03d5', 'strns;': '\xaf', 'Sub;': '\u22d0', 'sub;': '\u2282', 'subdot;': '\u2abd', 'subE;': '\u2ac5', 'sube;': '\u2286', 'subedot;': '\u2ac3', 'submult;': '\u2ac1', 'subnE;': '\u2acb', 'subne;': '\u228a', 'subplus;': '\u2abf', 'subrarr;': '\u2979', 'Subset;': '\u22d0', 'subset;': '\u2282', 'subseteq;': '\u2286', 'subseteqq;': '\u2ac5', 'SubsetEqual;': '\u2286', 'subsetneq;': '\u228a', 'subsetneqq;': '\u2acb', 'subsim;': '\u2ac7', 'subsub;': '\u2ad5', 'subsup;': '\u2ad3', 'succ;': '\u227b', 'succapprox;': '\u2ab8', 'succcurlyeq;': '\u227d', 'Succeeds;': '\u227b', 'SucceedsEqual;': '\u2ab0', 'SucceedsSlantEqual;': '\u227d', 'SucceedsTilde;': '\u227f', 'succeq;': '\u2ab0', 'succnapprox;': '\u2aba', 'succneqq;': '\u2ab6', 'succnsim;': '\u22e9', 'succsim;': '\u227f', 'SuchThat;': '\u220b', 'Sum;': '\u2211', 'sum;': '\u2211', 'sung;': '\u266a', 'sup1': '\xb9', 'sup1;': '\xb9', 'sup2': '\xb2', 'sup2;': '\xb2', 'sup3': '\xb3', 'sup3;': '\xb3', 'Sup;': '\u22d1', 'sup;': '\u2283', 'supdot;': '\u2abe', 'supdsub;': '\u2ad8', 'supE;': '\u2ac6', 'supe;': '\u2287', 'supedot;': '\u2ac4', 'Superset;': '\u2283', 'SupersetEqual;': '\u2287', 'suphsol;': '\u27c9', 'suphsub;': '\u2ad7', 'suplarr;': '\u297b', 'supmult;': '\u2ac2', 'supnE;': '\u2acc', 'supne;': '\u228b', 'supplus;': '\u2ac0', 'Supset;': '\u22d1', 'supset;': '\u2283', 'supseteq;': '\u2287', 'supseteqq;': '\u2ac6', 'supsetneq;': '\u228b', 'supsetneqq;': '\u2acc', 'supsim;': '\u2ac8', 'supsub;': '\u2ad4', 'supsup;': '\u2ad6', 'swarhk;': '\u2926', 'swArr;': '\u21d9', 'swarr;': '\u2199', 'swarrow;': '\u2199', 'swnwar;': '\u292a', 'szlig': '\xdf', 'szlig;': '\xdf', 'Tab;': '\t', 'target;': '\u2316', 'Tau;': '\u03a4', 'tau;': '\u03c4', 'tbrk;': '\u23b4', 'Tcaron;': '\u0164', 'tcaron;': '\u0165', 'Tcedil;': '\u0162', 'tcedil;': '\u0163', 'Tcy;': '\u0422', 'tcy;': '\u0442', 'tdot;': '\u20db', 'telrec;': '\u2315', 'Tfr;': '\U0001d517', 'tfr;': '\U0001d531', 'there4;': '\u2234', 'Therefore;': '\u2234', 'therefore;': '\u2234', 'Theta;': '\u0398', 'theta;': '\u03b8', 'thetasym;': '\u03d1', 'thetav;': '\u03d1', 'thickapprox;': '\u2248', 'thicksim;': '\u223c', 'ThickSpace;': '\u205f\u200a', 'thinsp;': '\u2009', 'ThinSpace;': '\u2009', 'thkap;': '\u2248', 'thksim;': '\u223c', 'THORN': '\xde', 'thorn': '\xfe', 'THORN;': '\xde', 'thorn;': '\xfe', 'Tilde;': '\u223c', 'tilde;': '\u02dc', 'TildeEqual;': '\u2243', 'TildeFullEqual;': '\u2245', 'TildeTilde;': '\u2248', 'times': '\xd7', 'times;': '\xd7', 'timesb;': '\u22a0', 'timesbar;': '\u2a31', 'timesd;': '\u2a30', 'tint;': '\u222d', 'toea;': '\u2928', 'top;': '\u22a4', 'topbot;': '\u2336', 'topcir;': '\u2af1', 'Topf;': '\U0001d54b', 'topf;': '\U0001d565', 'topfork;': '\u2ada', 'tosa;': '\u2929', 'tprime;': '\u2034', 'TRADE;': '\u2122', 'trade;': '\u2122', 'triangle;': '\u25b5', 'triangledown;': '\u25bf', 'triangleleft;': '\u25c3', 'trianglelefteq;': '\u22b4', 'triangleq;': '\u225c', 'triangleright;': '\u25b9', 'trianglerighteq;': '\u22b5', 'tridot;': '\u25ec', 'trie;': '\u225c', 'triminus;': '\u2a3a', 'TripleDot;': '\u20db', 'triplus;': '\u2a39', 'trisb;': '\u29cd', 'tritime;': '\u2a3b', 'trpezium;': '\u23e2', 'Tscr;': '\U0001d4af', 'tscr;': '\U0001d4c9', 'TScy;': '\u0426', 'tscy;': '\u0446', 'TSHcy;': '\u040b', 'tshcy;': '\u045b', 'Tstrok;': '\u0166', 'tstrok;': '\u0167', 'twixt;': '\u226c', 'twoheadleftarrow;': '\u219e', 'twoheadrightarrow;': '\u21a0', 'Uacute': '\xda', 'uacute': '\xfa', 'Uacute;': '\xda', 'uacute;': '\xfa', 'Uarr;': '\u219f', 'uArr;': '\u21d1', 'uarr;': '\u2191', 'Uarrocir;': '\u2949', 'Ubrcy;': '\u040e', 'ubrcy;': '\u045e', 'Ubreve;': '\u016c', 'ubreve;': '\u016d', 'Ucirc': '\xdb', 'ucirc': '\xfb', 'Ucirc;': '\xdb', 'ucirc;': '\xfb', 'Ucy;': '\u0423', 'ucy;': '\u0443', 'udarr;': '\u21c5', 'Udblac;': '\u0170', 'udblac;': '\u0171', 'udhar;': '\u296e', 'ufisht;': '\u297e', 'Ufr;': '\U0001d518', 'ufr;': '\U0001d532', 'Ugrave': '\xd9', 'ugrave': '\xf9', 'Ugrave;': '\xd9', 'ugrave;': '\xf9', 'uHar;': '\u2963', 'uharl;': '\u21bf', 'uharr;': '\u21be', 'uhblk;': '\u2580', 'ulcorn;': '\u231c', 'ulcorner;': '\u231c', 'ulcrop;': '\u230f', 'ultri;': '\u25f8', 'Umacr;': '\u016a', 'umacr;': '\u016b', 'uml': '\xa8', 'uml;': '\xa8', 'UnderBar;': '_', 'UnderBrace;': '\u23df', 'UnderBracket;': '\u23b5', 'UnderParenthesis;': '\u23dd', 'Union;': '\u22c3', 'UnionPlus;': '\u228e', 'Uogon;': '\u0172', 'uogon;': '\u0173', 'Uopf;': '\U0001d54c', 'uopf;': '\U0001d566', 'UpArrow;': '\u2191', 'Uparrow;': '\u21d1', 'uparrow;': '\u2191', 'UpArrowBar;': '\u2912', 'UpArrowDownArrow;': '\u21c5', 'UpDownArrow;': '\u2195', 'Updownarrow;': '\u21d5', 'updownarrow;': '\u2195', 'UpEquilibrium;': '\u296e', 'upharpoonleft;': '\u21bf', 'upharpoonright;': '\u21be', 'uplus;': '\u228e', 'UpperLeftArrow;': '\u2196', 'UpperRightArrow;': '\u2197', 'Upsi;': '\u03d2', 'upsi;': '\u03c5', 'upsih;': '\u03d2', 'Upsilon;': '\u03a5', 'upsilon;': '\u03c5', 'UpTee;': '\u22a5', 'UpTeeArrow;': '\u21a5', 'upuparrows;': '\u21c8', 'urcorn;': '\u231d', 'urcorner;': '\u231d', 'urcrop;': '\u230e', 'Uring;': '\u016e', 'uring;': '\u016f', 'urtri;': '\u25f9', 'Uscr;': '\U0001d4b0', 'uscr;': '\U0001d4ca', 'utdot;': '\u22f0', 'Utilde;': '\u0168', 'utilde;': '\u0169', 'utri;': '\u25b5', 'utrif;': '\u25b4', 'uuarr;': '\u21c8', 'Uuml': '\xdc', 'uuml': '\xfc', 'Uuml;': '\xdc', 'uuml;': '\xfc', 'uwangle;': '\u29a7', 'vangrt;': '\u299c', 'varepsilon;': '\u03f5', 'varkappa;': '\u03f0', 'varnothing;': '\u2205', 'varphi;': '\u03d5', 'varpi;': '\u03d6', 'varpropto;': '\u221d', 'vArr;': '\u21d5', 'varr;': '\u2195', 'varrho;': '\u03f1', 'varsigma;': '\u03c2', 'varsubsetneq;': '\u228a\ufe00', 'varsubsetneqq;': '\u2acb\ufe00', 'varsupsetneq;': '\u228b\ufe00', 'varsupsetneqq;': '\u2acc\ufe00', 'vartheta;': '\u03d1', 'vartriangleleft;': '\u22b2', 'vartriangleright;': '\u22b3', 'Vbar;': '\u2aeb', 'vBar;': '\u2ae8', 'vBarv;': '\u2ae9', 'Vcy;': '\u0412', 'vcy;': '\u0432', 'VDash;': '\u22ab', 'Vdash;': '\u22a9', 'vDash;': '\u22a8', 'vdash;': '\u22a2', 'Vdashl;': '\u2ae6', 'Vee;': '\u22c1', 'vee;': '\u2228', 'veebar;': '\u22bb', 'veeeq;': '\u225a', 'vellip;': '\u22ee', 'Verbar;': '\u2016', 'verbar;': '|', 'Vert;': '\u2016', 'vert;': '|', 'VerticalBar;': '\u2223', 'VerticalLine;': '|', 'VerticalSeparator;': '\u2758', 'VerticalTilde;': '\u2240', 'VeryThinSpace;': '\u200a', 'Vfr;': '\U0001d519', 'vfr;': '\U0001d533', 'vltri;': '\u22b2', 'vnsub;': '\u2282\u20d2', 'vnsup;': '\u2283\u20d2', 'Vopf;': '\U0001d54d', 'vopf;': '\U0001d567', 'vprop;': '\u221d', 'vrtri;': '\u22b3', 'Vscr;': '\U0001d4b1', 'vscr;': '\U0001d4cb', 'vsubnE;': '\u2acb\ufe00', 'vsubne;': '\u228a\ufe00', 'vsupnE;': '\u2acc\ufe00', 'vsupne;': '\u228b\ufe00', 'Vvdash;': '\u22aa', 'vzigzag;': '\u299a', 'Wcirc;': '\u0174', 'wcirc;': '\u0175', 'wedbar;': '\u2a5f', 'Wedge;': '\u22c0', 'wedge;': '\u2227', 'wedgeq;': '\u2259', 'weierp;': '\u2118', 'Wfr;': '\U0001d51a', 'wfr;': '\U0001d534', 'Wopf;': '\U0001d54e', 'wopf;': '\U0001d568', 'wp;': '\u2118', 'wr;': '\u2240', 'wreath;': '\u2240', 'Wscr;': '\U0001d4b2', 'wscr;': '\U0001d4cc', 'xcap;': '\u22c2', 'xcirc;': '\u25ef', 'xcup;': '\u22c3', 'xdtri;': '\u25bd', 'Xfr;': '\U0001d51b', 'xfr;': '\U0001d535', 'xhArr;': '\u27fa', 'xharr;': '\u27f7', 'Xi;': '\u039e', 'xi;': '\u03be', 'xlArr;': '\u27f8', 'xlarr;': '\u27f5', 'xmap;': '\u27fc', 'xnis;': '\u22fb', 'xodot;': '\u2a00', 'Xopf;': '\U0001d54f', 'xopf;': '\U0001d569', 'xoplus;': '\u2a01', 'xotime;': '\u2a02', 'xrArr;': '\u27f9', 'xrarr;': '\u27f6', 'Xscr;': '\U0001d4b3', 'xscr;': '\U0001d4cd', 'xsqcup;': '\u2a06', 'xuplus;': '\u2a04', 'xutri;': '\u25b3', 'xvee;': '\u22c1', 'xwedge;': '\u22c0', 'Yacute': '\xdd', 'yacute': '\xfd', 'Yacute;': '\xdd', 'yacute;': '\xfd', 'YAcy;': '\u042f', 'yacy;': '\u044f', 'Ycirc;': '\u0176', 'ycirc;': '\u0177', 'Ycy;': '\u042b', 'ycy;': '\u044b', 'yen': '\xa5', 'yen;': '\xa5', 'Yfr;': '\U0001d51c', 'yfr;': '\U0001d536', 'YIcy;': '\u0407', 'yicy;': '\u0457', 'Yopf;': '\U0001d550', 'yopf;': '\U0001d56a', 'Yscr;': '\U0001d4b4', 'yscr;': '\U0001d4ce', 'YUcy;': '\u042e', 'yucy;': '\u044e', 'yuml': '\xff', 'Yuml;': '\u0178', 'yuml;': '\xff', 'Zacute;': '\u0179', 'zacute;': '\u017a', 'Zcaron;': '\u017d', 'zcaron;': '\u017e', 'Zcy;': '\u0417', 'zcy;': '\u0437', 'Zdot;': '\u017b', 'zdot;': '\u017c', 'zeetrf;': '\u2128', 'ZeroWidthSpace;': '\u200b', 'Zeta;': '\u0396', 'zeta;': '\u03b6', 'Zfr;': '\u2128', 'zfr;': '\U0001d537', 'ZHcy;': '\u0416', 'zhcy;': '\u0436', 'zigrarr;': '\u21dd', 'Zopf;': '\u2124', 'zopf;': '\U0001d56b', 'Zscr;': '\U0001d4b5', 'zscr;': '\U0001d4cf', 'zwj;': '\u200d', 'zwnj;': '\u200c', }
try: import http.client as compat_http_clientexcept ImportError: # Python 2 import httplib as compat_http_client
try: from urllib.error import HTTPError as compat_HTTPErrorexcept ImportError: # Python 2 from urllib2 import HTTPError as compat_HTTPError
try: from urllib.request import urlretrieve as compat_urlretrieveexcept ImportError: # Python 2 from urllib import urlretrieve as compat_urlretrieve
try: from html.parser import HTMLParser as compat_HTMLParserexcept ImportError: # Python 2 from HTMLParser import HTMLParser as compat_HTMLParser
try: from subprocess import DEVNULL compat_subprocess_get_DEVNULL = lambda: DEVNULLexcept ImportError: compat_subprocess_get_DEVNULL = lambda: open(os.path.devnull, 'w')
try: import http.server as compat_http_serverexcept ImportError: import BaseHTTPServer as compat_http_server
try: compat_str = unicode # Python 2except NameError: compat_str = str
try: from urllib.parse import unquote_to_bytes as compat_urllib_parse_unquote_to_bytes from urllib.parse import unquote as compat_urllib_parse_unquote from urllib.parse import unquote_plus as compat_urllib_parse_unquote_plusexcept ImportError: # Python 2 _asciire = (compat_urllib_parse._asciire if hasattr(compat_urllib_parse, '_asciire') else re.compile('([\x00-\x7f]+)'))
# HACK: The following are the correct unquote_to_bytes, unquote and unquote_plus # implementations from cpython 3.4.3's stdlib. Python 2's version # is apparently broken (see https://github.com/rg3/youtube-dl/pull/6244)
def compat_urllib_parse_unquote_to_bytes(string): """unquote_to_bytes('abc%20def') -> b'abc def'.""" # Note: strings are encoded as UTF-8. This is only an issue if it contains # unescaped non-ASCII characters, which URIs should not. if not string: # Is it a string-like object? string.split return b'' if isinstance(string, compat_str): string = string.encode('utf-8') bits = string.split(b'%') if len(bits) == 1: return string res = [bits[0]] append = res.append for item in bits[1:]: try: append(compat_urllib_parse._hextochr[item[:2]]) append(item[2:]) except KeyError: append(b'%') append(item) return b''.join(res)
def compat_urllib_parse_unquote(string, encoding='utf-8', errors='replace'): """Replace %xx escapes by their single-character equivalent. The optional
encoding and errors parameters specify how to decode percent-encoded sequences into Unicode characters, as accepted by the bytes.decode() method. By default, percent-encoded sequences are decoded with UTF-8, and invalid sequences are replaced by a placeholder character.
unquote('abc%20def') -> 'abc def'. """
if '%' not in string: string.split return string if encoding is None: encoding = 'utf-8' if errors is None: errors = 'replace' bits = _asciire.split(string) res = [bits[0]] append = res.append for i in range(1, len(bits), 2): append(compat_urllib_parse_unquote_to_bytes(bits[i]).decode(encoding, errors)) append(bits[i + 1]) return ''.join(res)
def compat_urllib_parse_unquote_plus(string, encoding='utf-8', errors='replace'): """Like unquote(), but also replace plus signs by spaces, as required for
unquoting HTML form values.
unquote_plus('%7e/abc+def') -> '~/abc def' """
string = string.replace('+', ' ') return compat_urllib_parse_unquote(string, encoding, errors)
try: from urllib.parse import urlencode as compat_urllib_parse_urlencodeexcept ImportError: # Python 2 # Python 2 will choke in urlencode on mixture of byte and unicode strings. # Possible solutions are to either port it from python 3 with all # the friends or manually ensure input query contains only byte strings. # We will stick with latter thus recursively encoding the whole query. def compat_urllib_parse_urlencode(query, doseq=0, encoding='utf-8'): def encode_elem(e): if isinstance(e, dict): e = encode_dict(e) elif isinstance(e, (list, tuple,)): list_e = encode_list(e) e = tuple(list_e) if isinstance(e, tuple) else list_e elif isinstance(e, compat_str): e = e.encode(encoding) return e
def encode_dict(d): return dict((encode_elem(k), encode_elem(v)) for k, v in d.items())
def encode_list(l): return [encode_elem(e) for e in l]
return compat_urllib_parse.urlencode(encode_elem(query), doseq=doseq)
try: from urllib.request import DataHandler as compat_urllib_request_DataHandlerexcept ImportError: # Python < 3.4 # Ported from CPython 98774:1733b3bd46db, Lib/urllib/request.py class compat_urllib_request_DataHandler(compat_urllib_request.BaseHandler): def data_open(self, req): # data URLs as specified in RFC 2397. # # ignores POSTed data # # syntax: # dataurl := "data:" [ mediatype ] [ ";base64" ] "," data # mediatype := [ type "/" subtype ] *( ";" parameter ) # data := *urlchar # parameter := attribute "=" value url = req.get_full_url()
scheme, data = url.split(':', 1) mediatype, data = data.split(',', 1)
# even base64 encoded data URLs might be quoted so unquote in any case: data = compat_urllib_parse_unquote_to_bytes(data) if mediatype.endswith(';base64'): data = binascii.a2b_base64(data) mediatype = mediatype[:-7]
if not mediatype: mediatype = 'text/plain;charset=US-ASCII'
headers = email.message_from_string( 'Content-type: %s\nContent-length: %d\n' % (mediatype, len(data)))
return compat_urllib_response.addinfourl(io.BytesIO(data), headers, url)
try: compat_basestring = basestring # Python 2except NameError: compat_basestring = str
try: compat_chr = unichr # Python 2except NameError: compat_chr = chr
try: from xml.etree.ElementTree import ParseError as compat_xml_parse_errorexcept ImportError: # Python 2.6 from xml.parsers.expat import ExpatError as compat_xml_parse_error
etree = xml.etree.ElementTree
class _TreeBuilder(etree.TreeBuilder): def doctype(self, name, pubid, system): pass
if sys.version_info[0] >= 3: def compat_etree_fromstring(text): return etree.XML(text, parser=etree.XMLParser(target=_TreeBuilder()))else: # python 2.x tries to encode unicode strings with ascii (see the # XMLParser._fixtext method) try: _etree_iter = etree.Element.iter except AttributeError: # Python <=2.6 def _etree_iter(root): for el in root.findall('*'): yield el for sub in _etree_iter(el): yield sub
# on 2.6 XML doesn't have a parser argument, function copied from CPython # 2.7 source def _XML(text, parser=None): if not parser: parser = etree.XMLParser(target=_TreeBuilder()) parser.feed(text) return parser.close()
def _element_factory(*args, **kwargs): el = etree.Element(*args, **kwargs) for k, v in el.items(): if isinstance(v, bytes): el.set(k, v.decode('utf-8')) return el
def compat_etree_fromstring(text): doc = _XML(text, parser=etree.XMLParser(target=_TreeBuilder(element_factory=_element_factory))) for el in _etree_iter(doc): if el.text is not None and isinstance(el.text, bytes): el.text = el.text.decode('utf-8') return doc
if sys.version_info < (2, 7): # Here comes the crazy part: In 2.6, if the xpath is a unicode, # .//node does not match if a node is a direct child of . ! def compat_xpath(xpath): if isinstance(xpath, compat_str): xpath = xpath.encode('ascii') return xpathelse: compat_xpath = lambda xpath: xpath
try: from urllib.parse import parse_qs as compat_parse_qsexcept ImportError: # Python 2 # HACK: The following is the correct parse_qs implementation from cpython 3's stdlib. # Python 2's version is apparently totally broken
def _parse_qsl(qs, keep_blank_values=False, strict_parsing=False, encoding='utf-8', errors='replace'): qs, _coerce_result = qs, compat_str pairs = [s2 for s1 in qs.split('&') for s2 in s1.split(';')] r = [] for name_value in pairs: if not name_value and not strict_parsing: continue nv = name_value.split('=', 1) if len(nv) != 2: if strict_parsing: raise ValueError('bad query field: %r' % (name_value,)) # Handle case of a control-name with no equal sign if keep_blank_values: nv.append('') else: continue if len(nv[1]) or keep_blank_values: name = nv[0].replace('+', ' ') name = compat_urllib_parse_unquote( name, encoding=encoding, errors=errors) name = _coerce_result(name) value = nv[1].replace('+', ' ') value = compat_urllib_parse_unquote( value, encoding=encoding, errors=errors) value = _coerce_result(value) r.append((name, value)) return r
def compat_parse_qs(qs, keep_blank_values=False, strict_parsing=False, encoding='utf-8', errors='replace'): parsed_result = {} pairs = _parse_qsl(qs, keep_blank_values, strict_parsing, encoding=encoding, errors=errors) for name, value in pairs: if name in parsed_result: parsed_result[name].append(value) else: parsed_result[name] = [value] return parsed_result
try: from shlex import quote as compat_shlex_quoteexcept ImportError: # Python < 3.3 def compat_shlex_quote(s): if re.match(r'^[-_\w./]+$', s): return s else: return "'" + s.replace("'", "'\"'\"'") + "'"
try: args = shlex.split('中文') assert (isinstance(args, list) and isinstance(args[0], compat_str) and args[0] == '中文') compat_shlex_split = shlex.splitexcept (AssertionError, UnicodeEncodeError): # Working around shlex issue with unicode strings on some python 2 # versions (see http://bugs.python.org/issue1548891) def compat_shlex_split(s, comments=False, posix=True): if isinstance(s, compat_str): s = s.encode('utf-8') return list(map(lambda s: s.decode('utf-8'), shlex.split(s, comments, posix)))
def compat_ord(c): if type(c) is int: return c else: return ord(c)
compat_os_name = os._name if os.name == 'java' else os.name
if sys.version_info >= (3, 0): compat_getenv = os.getenv compat_expanduser = os.path.expanduser
def compat_setenv(key, value, env=os.environ): env[key] = valueelse: # Environment variables should be decoded with filesystem encoding. # Otherwise it will fail if any non-ASCII characters present (see #3854 #3217 #2918)
def compat_getenv(key, default=None): from .utils import get_filesystem_encoding env = os.getenv(key, default) if env: env = env.decode(get_filesystem_encoding()) return env
def compat_setenv(key, value, env=os.environ): def encode(v): from .utils import get_filesystem_encoding return v.encode(get_filesystem_encoding()) if isinstance(v, compat_str) else v env[encode(key)] = encode(value)
# HACK: The default implementations of os.path.expanduser from cpython do not decode # environment variables with filesystem encoding. We will work around this by # providing adjusted implementations. # The following are os.path.expanduser implementations from cpython 2.7.8 stdlib # for different platforms with correct environment variables decoding.
if compat_os_name == 'posix': def compat_expanduser(path): """Expand ~ and ~user constructions. If user or $HOME is unknown,
do nothing."""
if not path.startswith('~'): return path i = path.find('/', 1) if i < 0: i = len(path) if i == 1: if 'HOME' not in os.environ: import pwd userhome = pwd.getpwuid(os.getuid()).pw_dir else: userhome = compat_getenv('HOME') else: import pwd try: pwent = pwd.getpwnam(path[1:i]) except KeyError: return path userhome = pwent.pw_dir userhome = userhome.rstrip('/') return (userhome + path[i:]) or '/' elif compat_os_name == 'nt' or compat_os_name == 'ce': def compat_expanduser(path): """Expand ~ and ~user constructs.
If user or $HOME is unknown, do nothing."""
if path[:1] != '~': return path i, n = 1, len(path) while i < n and path[i] not in '/\\': i = i + 1
if 'HOME' in os.environ: userhome = compat_getenv('HOME') elif 'USERPROFILE' in os.environ: userhome = compat_getenv('USERPROFILE') elif 'HOMEPATH' not in os.environ: return path else: try: drive = compat_getenv('HOMEDRIVE') except KeyError: drive = '' userhome = os.path.join(drive, compat_getenv('HOMEPATH'))
if i != 1: # ~user userhome = os.path.join(os.path.dirname(userhome), path[1:i])
return userhome + path[i:] else: compat_expanduser = os.path.expanduser
if sys.version_info < (3, 0): def compat_print(s): from .utils import preferredencoding print(s.encode(preferredencoding(), 'xmlcharrefreplace'))else: def compat_print(s): assert isinstance(s, compat_str) print(s)
if sys.version_info < (3, 0) and sys.platform == 'win32': def compat_getpass(prompt, *args, **kwargs): if isinstance(prompt, compat_str): from .utils import preferredencoding prompt = prompt.encode(preferredencoding()) return getpass.getpass(prompt, *args, **kwargs)else: compat_getpass = getpass.getpass
try: compat_input = raw_inputexcept NameError: # Python 3 compat_input = input
# Python < 2.6.5 require kwargs to be bytestry: def _testfunc(x): pass _testfunc(**{'x': 0})except TypeError: def compat_kwargs(kwargs): return dict((bytes(k), v) for k, v in kwargs.items())else: compat_kwargs = lambda kwargs: kwargs
if sys.version_info < (2, 7): def compat_socket_create_connection(address, timeout, source_address=None): host, port = address err = None for res in socket.getaddrinfo(host, port, 0, socket.SOCK_STREAM): af, socktype, proto, canonname, sa = res sock = None try: sock = socket.socket(af, socktype, proto) sock.settimeout(timeout) if source_address: sock.bind(source_address) sock.connect(sa) return sock except socket.error as _: err = _ if sock is not None: sock.close() if err is not None: raise err else: raise socket.error('getaddrinfo returns an empty list')else: compat_socket_create_connection = socket.create_connection
# Fix https://github.com/rg3/youtube-dl/issues/4223# See http://bugs.python.org/issue9161 for what is brokendef workaround_optparse_bug9161(): op = optparse.OptionParser() og = optparse.OptionGroup(op, 'foo') try: og.add_option('-t') except TypeError: real_add_option = optparse.OptionGroup.add_option
def _compat_add_option(self, *args, **kwargs): enc = lambda v: ( v.encode('ascii', 'replace') if isinstance(v, compat_str) else v) bargs = [enc(a) for a in args] bkwargs = dict( (k, enc(v)) for k, v in kwargs.items()) return real_add_option(self, *bargs, **bkwargs) optparse.OptionGroup.add_option = _compat_add_option
if hasattr(shutil, 'get_terminal_size'): # Python >= 3.3 compat_get_terminal_size = shutil.get_terminal_sizeelse: _terminal_size = collections.namedtuple('terminal_size', ['columns', 'lines'])
def compat_get_terminal_size(fallback=(80, 24)): columns = compat_getenv('COLUMNS') if columns: columns = int(columns) else: columns = None lines = compat_getenv('LINES') if lines: lines = int(lines) else: lines = None
if columns is None or lines is None or columns <= 0 or lines <= 0: try: sp = subprocess.Popen( ['stty', 'size'], stdout=subprocess.PIPE, stderr=subprocess.PIPE) out, err = sp.communicate() _lines, _columns = map(int, out.split()) except Exception: _columns, _lines = _terminal_size(*fallback)
if columns is None or columns <= 0: columns = _columns if lines is None or lines <= 0: lines = _lines return _terminal_size(columns, lines)
try: itertools.count(start=0, step=1) compat_itertools_count = itertools.countexcept TypeError: # Python 2.6 def compat_itertools_count(start=0, step=1): n = start while True: yield n n += step
if sys.version_info >= (3, 0): from tokenize import tokenize as compat_tokenize_tokenizeelse: from tokenize import generate_tokens as compat_tokenize_tokenize
try: struct.pack('!I', 0)except TypeError: # In Python 2.6 and 2.7.x < 2.7.7, struct requires a bytes argument # See https://bugs.python.org/issue19099 def compat_struct_pack(spec, *args): if isinstance(spec, compat_str): spec = spec.encode('ascii') return struct.pack(spec, *args)
def compat_struct_unpack(spec, *args): if isinstance(spec, compat_str): spec = spec.encode('ascii') return struct.unpack(spec, *args)else: compat_struct_pack = struct.pack compat_struct_unpack = struct.unpack
__all__ = [ 'compat_HTMLParser', 'compat_HTTPError', 'compat_basestring', 'compat_chr', 'compat_cookiejar', 'compat_cookies', 'compat_etree_fromstring', 'compat_expanduser', 'compat_get_terminal_size', 'compat_getenv', 'compat_getpass', 'compat_html_entities', 'compat_html_entities_html5', 'compat_http_client', 'compat_http_server', 'compat_input', 'compat_itertools_count', 'compat_kwargs', 'compat_ord', 'compat_os_name', 'compat_parse_qs', 'compat_print', 'compat_setenv', 'compat_shlex_quote', 'compat_shlex_split', 'compat_socket_create_connection', 'compat_str', 'compat_struct_pack', 'compat_struct_unpack', 'compat_subprocess_get_DEVNULL', 'compat_tokenize_tokenize', 'compat_urllib_error', 'compat_urllib_parse', 'compat_urllib_parse_unquote', 'compat_urllib_parse_unquote_plus', 'compat_urllib_parse_unquote_to_bytes', 'compat_urllib_parse_urlencode', 'compat_urllib_parse_urlparse', 'compat_urllib_request', 'compat_urllib_request_DataHandler', 'compat_urllib_response', 'compat_urlparse', 'compat_urlretrieve', 'compat_xml_parse_error', 'compat_xpath', 'workaround_optparse_bug9161',]
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