File "mathlive.min.js"

Path: /ThinkIB/mathanalysis/mathlive@0860/dist/mathliveminjs
File size: 668.69 KB
MIME-type: text/plain
Charset: utf-8

/** MathLive 0.86.0 */
var global,factory;global=this,factory=function(e){function t(e){return Array.isArray(e)}function a(){return"window"in globalThis&&"document"in globalThis}function i(){if(!a())throw new Error("<math-field> is an interactive component that needs to run in a browser environment\nIf you are using nextjs, see https://nextjs.org/docs/advanced-features/dynamic-import#with-no-ssr")}function o(){return!!a()&&("matchMedia"in globalThis?globalThis.matchMedia("(any-pointer: coarse)").matches:"ontouchstart"in globalThis||navigator.maxTouchPoints>0)}function r(){return a()&&"function"==typeof navigator.vibrate}function n(){var e,t;if(!a())return"other";const i=null!==(t=null===(e=navigator.userAgentData)||void 0===e?void 0:e.platform)&&void 0!==t?t:navigator.platform;return/^mac/i.test(i)?5===navigator.maxTouchPoints?"ios":"macos":/^win/i.test(i)?"windows":/android/i.test(navigator.userAgent)?"android":/iphone|ipod|ipad/i.test(navigator.userAgent)?"ios":/\bcros\b/i.test(navigator.userAgent)?"chromeos":"other"}function s(){if(!a())return!0;if(/firefox/i.test(navigator.userAgent)){const e=navigator.userAgent.match(/firefox\/(\d+)/i);return!!e&&parseInt(e[1])>=78}if(/trident/i.test(navigator.userAgent))return!1;if(/edge/i.test(navigator.userAgent)){const e=navigator.userAgent.match(/edg\/(\d+)/i);return!!e&&parseInt(e[1])>=79}return!0}const l={strings:{en:{"keyboard.tooltip.functions":"Functions","keyboard.tooltip.symbols":"Symbols","keyboard.tooltip.greek":"Greek Letters","keyboard.tooltip.command":"LaTeX Command Mode","keyboard.tooltip.numeric":"Numeric","keyboard.tooltip.roman":"Roman Letters","tooltip.copy to clipboard":"Copy to Clipboard","tooltip.redo":"Redo","tooltip.toggle virtual keyboard":"Toggle Virtual Keyboard","tooltip.undo":"Undo","menu.insert matrix":"Insert Matrix","menu.insert vector":"Insert Vector","submenu.array.matrix delimiters":"Matrix Delimiters","menu.array.add row above":"Add Row After","menu.array.add row below":"Add Row Before","menu.array.add column after":"Add Column After","menu.array.add column before":"Add Column Before","menu.array.delete row":"Delete Row","menu.array.delete rows":"Delete Selected Rows","menu.array.delete column":"Delete Column","menu.array.delete columns":"Delete Selected Columns","submenu.array.insert separator":"Insert Separator","menu.insert table":"Insert Table","submenu.table style":"Table Style"},ar:{"keyboard.tooltip.functions":"\u0645\u0647\u0627\u0645","keyboard.tooltip.symbols":"\u062d\u0631\u0641 \u0627\u0648 \u0631\u0645\u0632","keyboard.tooltip.greek":"\u062d\u0631\u0648\u0641 \u064a\u0648\u0646\u0627\u0646\u064a\u0629","keyboard.tooltip.command":"\u062d\u0627\u0644\u0629 \u062a\u0644\u0642\u064a \u0627\u0644\u0623\u0648\u0627\u0645\u0631 \u0627\u0644\u0644\u0627\u062a\u0643","keyboard.tooltip.numeric":"\u0627\u0644\u0631\u0642\u0645\u064a\u0629","keyboard.tooltip.roman":"\u0631\u0645\u0648\u0632 \u0627\u0644\u0627\u062d\u0631\u0641 \u0627\u0644\u0631\u0648\u0645\u0627\u0646\u064a\u0629","tooltip.copy to clipboard":"\u0646\u0633\u062e \u0625\u0644\u0649 \u0627\u0644\u062d\u0627\u0641\u0638\u0629","tooltip.redo":"\u0627\u0644\u0625\u0639\u0627\u062f\u0629","tooltip.toggle virtual keyboard":"\u062a\u0628\u062f\u064a\u0644 \u0644\u0648\u062d\u0629 \u0627\u0644\u0645\u0641\u0627\u062a\u064a\u062d \u0627\u0644\u0625\u0641\u062a\u0631\u0627\u0636\u064a\u0629","tooltip.undo":"\u0625\u0644\u063a\u0627\u0621","menu.insert matrix":"\u0623\u062f\u062e\u0644 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629","menu.insert vector":"\u0623\u062f\u062e\u0644 \u0645\u062a\u062c\u0647","submenu.array.matrix delimiters":"\u0645\u062d\u062f\u062f\u0627\u062a \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629","menu.array.add row above":"\u0623\u0636\u0641 \u0635\u0641\u064b\u0627 \u0628\u0639\u062f \u0630\u0644\u0643","menu.array.add row below":"\u0623\u0636\u0641 \u0627\u0644\u0635\u0641 \u0642\u0628\u0644","menu.array.add column after":"\u0623\u0636\u0641 \u0627\u0644\u0639\u0645\u0648\u062f \u0628\u0639\u062f \u0630\u0644\u0643","menu.array.add column before":"\u0623\u0636\u0641 \u0627\u0644\u0639\u0645\u0648\u062f \u0642\u0628\u0644","menu.array.delete row":"\u0627\u062d\u0630\u0641 \u0635\u0641","menu.array.delete rows":"\u062d\u0630\u0641 \u0627\u0644\u0635\u0641\u0648\u0641 \u0627\u0644\u0645\u062d\u062f\u062f\u0629","menu.array.delete column":"\u062d\u0630\u0641 \u0627\u0644\u0639\u0645\u0648\u062f","menu.array.delete columns":"\u062d\u0630\u0641 \u0627\u0644\u0623\u0639\u0645\u062f\u0629 \u0627\u0644\u0645\u062d\u062f\u062f\u0629","submenu.array.insert separator":"\u0623\u062f\u062e\u0644 \u0641\u0627\u0635\u0644","menu.insert table":"\u0625\u062f\u0631\u0627\u062c \u062c\u062f\u0648\u0644","submenu.table style":"\u0646\u0645\u0637 \u0627\u0644\u062c\u062f\u0648\u0644"},bg:{"keyboard.tooltip.functions":"\u0424\u0443\u043d\u043a\u0446\u0438\u0438","keyboard.tooltip.symbols":"\u0421\u0438\u043c\u0432\u043e\u043b\u0438","keyboard.tooltip.greek":"\u0413\u0440\u044a\u0446\u043a\u0438 \u0431\u0443\u043a\u0432\u0438","keyboard.tooltip.command":"\u041a\u043e\u043c\u0430\u043d\u0434\u0435\u043d \u0440\u0435\u0436\u0438\u043c \u043d\u0430 \u043b\u0430\u0442\u0435\u043a\u0441","keyboard.tooltip.numeric":"\u0427\u0438\u0441\u043b\u043e\u0432\u0438","keyboard.tooltip.roman":"\u0420\u0438\u043c\u0441\u043a\u0438 \u0431\u0443\u043a\u0432\u0438","tooltip.copy to clipboard":"\u041a\u043e\u043f\u0438\u0440\u0430\u043d\u0435 \u0432 \u043a\u043b\u0438\u043f\u0431\u043e\u0440\u0434\u0430","tooltip.redo":"\u041f\u043e\u0432\u0442\u043e\u0440\u043d\u043e","tooltip.toggle virtual keyboard":"\u041f\u0440\u0435\u0432\u043a\u043b\u044e\u0447\u0432\u0430\u043d\u0435 \u043d\u0430 \u0432\u0438\u0440\u0442\u0443\u0430\u043b\u043d\u0430 \u043a\u043b\u0430\u0432\u0438\u0430\u0442\u0443\u0440\u0430","tooltip.undo":"\u041e\u0442\u043c\u044f\u043d\u0430","menu.insert matrix":"\u0412\u043c\u044a\u043a\u0432\u0430\u043d\u0435 \u043d\u0430 \u043c\u0430\u0442\u0440\u0438\u0446\u0430","menu.insert vector":"\u0412\u043c\u044a\u043a\u0432\u0430\u043d\u0435 \u043d\u0430 \u0432\u0435\u043a\u0442\u043e\u0440","submenu.array.matrix delimiters":"\u041c\u0430\u0442\u0440\u0438\u0447\u043d\u0438 \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u0438","menu.array.add row above":"\u0414\u043e\u0431\u0430\u0432\u044f\u043d\u0435 \u043d\u0430 \u0440\u0435\u0434 \u0441\u043b\u0435\u0434","menu.array.add row below":"\u0414\u043e\u0431\u0430\u0432\u044f\u043d\u0435 \u043d\u0430 \u0440\u0435\u0434 \u043f\u0440\u0435\u0434\u0438","menu.array.add column after":"\u0414\u043e\u0431\u0430\u0432\u044f\u043d\u0435 \u043d\u0430 \u043a\u043e\u043b\u043e\u043d\u0430 \u0441\u043b\u0435\u0434","menu.array.add column before":"\u0414\u043e\u0431\u0430\u0432\u044f\u043d\u0435 \u043d\u0430 \u043a\u043e\u043b\u043e\u043d\u0430 \u043f\u0440\u0435\u0434\u0438","menu.array.delete row":"\u0418\u0437\u0442\u0440\u0438\u0432\u0430\u043d\u0435 \u043d\u0430 \u0440\u0435\u0434\u0430","menu.array.delete rows":"\u0418\u0437\u0442\u0440\u0438\u0432\u0430\u043d\u0435 \u043d\u0430 \u0438\u0437\u0431\u0440\u0430\u043d\u0438\u0442\u0435 \u0440\u0435\u0434\u043e\u0432\u0435","menu.array.delete column":"\u0418\u0437\u0442\u0440\u0438\u0432\u0430\u043d\u0435 \u043d\u0430 \u043a\u043e\u043b\u043e\u043d\u0430","menu.array.delete columns":"\u0418\u0437\u0442\u0440\u0438\u0432\u0430\u043d\u0435 \u043d\u0430 \u0438\u0437\u0431\u0440\u0430\u043d\u0438\u0442\u0435 \u043a\u043e\u043b\u043e\u043d\u0438","submenu.array.insert separator":"\u041f\u043e\u0441\u0442\u0430\u0432\u0435\u0442\u0435 \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u0442\u0435\u043b","menu.insert table":"\u0412\u043c\u044a\u043a\u0432\u0430\u043d\u0435 \u043d\u0430 \u0442\u0430\u0431\u043b\u0438\u0446\u0430","submenu.table style":"\u0422\u0430\u0431\u043b\u0438\u0447\u0435\u043d \u0441\u0442\u0438\u043b"},bs:{"keyboard.tooltip.functions":"Funkcije","keyboard.tooltip.symbols":"Simboli","keyboard.tooltip.greek":"Gr\u010dka slova","keyboard.tooltip.command":"LaTeX naredbeni na\u010din","keyboard.tooltip.numeric":"Numeri\u010dki","keyboard.tooltip.roman":"Rimska slova","tooltip.copy to clipboard":"Kopirati u clipboard","tooltip.redo":"Ponovi","tooltip.toggle virtual keyboard":"Uklju\u010di / isklju\u010di virtualnu tipkovnicu","tooltip.undo":"Poni\u0161ti","menu.insert matrix":"Umetni matricu","menu.insert vector":"Umetni vektor","submenu.array.matrix delimiters":"Matri\u010dni razdjelnici","menu.array.add row above":"Dodaj redak nakon","menu.array.add row below":"Dodaj red prije","menu.array.add column after":"Dodaj stupac nakon","menu.array.add column before":"Dodaj stupac prije","menu.array.delete row":"Izbri\u0161i red","menu.array.delete rows":"Izbri\u0161i odabrane redove","menu.array.delete column":"Izbri\u0161i stupac","menu.array.delete columns":"Izbri\u0161i odabrane stupce","submenu.array.insert separator":"Umetni separator","menu.insert table":"Ubaci tabelu","submenu.table style":"Stil tabele"},cs:{"keyboard.tooltip.functions":"Funkce","keyboard.tooltip.symbols":"Symboly","keyboard.tooltip.greek":"\u0158eck\xe9 dopisy","keyboard.tooltip.command":"P\u0159\xedkazov\xfd re\u017eim LaTeX","keyboard.tooltip.numeric":"\u010c\xedseln\xe9","keyboard.tooltip.roman":"\u0158\xedmsk\xe9 dopisy","tooltip.copy to clipboard":"Zkop\xedrovat do schr\xe1nky","tooltip.redo":"P\u0159ed\u011blat","tooltip.toggle virtual keyboard":"P\u0159epnout virtu\xe1ln\xed kl\xe1vesnici","tooltip.undo":"Vr\xe1tit","menu.insert matrix":"Vlo\u017ete matici","menu.insert vector":"Vlo\u017eit vektor","submenu.array.matrix delimiters":"Odd\u011blova\u010de matic","menu.array.add row above":"P\u0159idat \u0159\xe1dek za","menu.array.add row below":"P\u0159idat \u0159\xe1dek p\u0159ed","menu.array.add column after":"P\u0159idat sloupec za","menu.array.add column before":"P\u0159idat sloupec d\u0159\xedve","menu.array.delete row":"Odstranit \u0159\xe1dek","menu.array.delete rows":"Odstranit vybran\xe9 \u0159\xe1dky","menu.array.delete column":"Odstranit sloupec","menu.array.delete columns":"Odstranit vybran\xe9 sloupce","submenu.array.insert separator":"Vlo\u017ete odd\u011blova\u010d","menu.insert table":"Vlo\u017eit tabulku","submenu.table style":"Styl tabulky"},da:{"keyboard.tooltip.functions":"Funktioner","keyboard.tooltip.symbols":"Symboler","keyboard.tooltip.greek":"Gr\xe6ske bogstaver","keyboard.tooltip.command":"LaTeX kommandotilstand","keyboard.tooltip.numeric":"Numerisk","keyboard.tooltip.roman":"Romerske breve","tooltip.copy to clipboard":"Kopier til udklipsholder","tooltip.redo":"Gentag igen","tooltip.toggle virtual keyboard":"Skift virtuelt tastatur","tooltip.undo":"Fortryd","menu.insert matrix":"Inds\xe6t matrix","menu.insert vector":"Inds\xe6t vektor","submenu.array.matrix delimiters":"Matrixafgr\xe6nsere","menu.array.add row above":"Tilf\xf8j r\xe6kke efter","menu.array.add row below":"Tilf\xf8j r\xe6kke f\xf8r","menu.array.add column after":"Tilf\xf8j kolonne efter","menu.array.add column before":"Tilf\xf8j kolonne f\xf8r","menu.array.delete row":"Slet r\xe6kke","menu.array.delete rows":"Slet valgte r\xe6kker","menu.array.delete column":"Slet kolonne","menu.array.delete columns":"Slet valgte kolonner","submenu.array.insert separator":"Inds\xe6t separator","menu.insert table":"Inds\xe6t tabel","submenu.table style":"Tabelstil"},de:{"keyboard.tooltip.functions":"Funktionen","keyboard.tooltip.symbols":"Symbole","keyboard.tooltip.greek":"Griechische Buchstaben","keyboard.tooltip.command":"LaTeX-Befehlsmodus","keyboard.tooltip.numeric":"Numerisch","keyboard.tooltip.roman":"R\xf6mische Buchstaben","tooltip.copy to clipboard":"In die Zwischenablage kopieren","tooltip.redo":"Wiederholen","tooltip.toggle virtual keyboard":"Virtuelle Tastatur umschalten","tooltip.undo":"Widerrufen","menu.insert matrix":"Matrix einf\xfcgen","menu.insert vector":"Vektor einf\xfcgen","submenu.array.matrix delimiters":"Matrixtrennzeichen","menu.array.add row above":"Zeile hinzuf\xfcgen nach","menu.array.add row below":"Zeile hinzuf\xfcgen vor","menu.array.add column after":"Spalte hinzuf\xfcgen nach","menu.array.add column before":"Spalte hinzuf\xfcgen vor","menu.array.delete row":"Zeile l\xf6schen","menu.array.delete rows":"Ausgew\xe4hlte Zeilen l\xf6schen","menu.array.delete column":"Spalte l\xf6schen","menu.array.delete columns":"Ausgew\xe4hlte Spalten l\xf6schen","submenu.array.insert separator":"Trennzeichen einf\xfcgen","menu.insert table":"Tabelle einf\xfcgen","submenu.table style":"Tabellenstil"},el:{"keyboard.tooltip.functions":"\u03c3\u03c5\u03bd\u03b1\u03c1\u03c4\u03ae\u03c3\u03b5\u03b9\u03c2","keyboard.tooltip.symbols":"\u03c3\u03cd\u03bc\u03b2\u03bf\u03bb\u03b1","keyboard.tooltip.greek":"\u03b5\u03bb\u03bb\u03b7\u03bd\u03b9\u03ba\u03ac \u03b3\u03c1\u03ac\u03bc\u03bc\u03b1\u03c4\u03b1","keyboard.tooltip.command":"\u039b\u03b5\u03b9\u03c4\u03bf\u03c5\u03c1\u03b3\u03af\u03b1 \u03b5\u03bd\u03c4\u03bf\u03bb\u03ce\u03bd LaTeX","keyboard.tooltip.numeric":"\u0391\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03cc\u03c2","keyboard.tooltip.roman":"\u03a1\u03c9\u03bc\u03b1\u03ca\u03ba\u03ac \u03b3\u03c1\u03ac\u03bc\u03bc\u03b1\u03c4\u03b1","tooltip.copy to clipboard":"\u0391\u03bd\u03c4\u03b9\u03b3\u03c1\u03b1\u03c6\u03ae \u03c3\u03c4\u03bf \u03c0\u03c1\u03cc\u03c7\u03b5\u03b9\u03c1\u03bf","tooltip.redo":"\u039e\u03b1\u03bd\u03b1\u03ba\u03ac\u03bd\u03c9","tooltip.toggle virtual keyboard":"\u0395\u03bd\u03b1\u03bb\u03bb\u03b1\u03b3\u03ae \u03b5\u03b9\u03ba\u03bf\u03bd\u03b9\u03ba\u03bf\u03cd \u03c0\u03bb\u03b7\u03ba\u03c4\u03c1\u03bf\u03bb\u03bf\u03b3\u03af\u03bf\u03c5","tooltip.undo":"\u039e\u03b5\u03ba\u03ac\u03bd\u03c9","menu.insert matrix":"\u0395\u03b9\u03c3\u03b1\u03b3\u03c9\u03b3\u03ae Matrix","menu.insert vector":"\u0395\u03b9\u03c3\u03b1\u03b3\u03c9\u03b3\u03ae \u03b4\u03b9\u03b1\u03bd\u03cd\u03c3\u03bc\u03b1\u03c4\u03bf\u03c2","submenu.array.matrix delimiters":"\u039f\u03c1\u03b9\u03bf\u03b8\u03ad\u03c4\u03b5\u03c2 Matrix","menu.array.add row above":"\u03a0\u03c1\u03bf\u03c3\u03b8\u03ae\u03ba\u03b7 \u03c3\u03b5\u03b9\u03c1\u03ac\u03c2 \u03bc\u03b5\u03c4\u03ac","menu.array.add row below":"\u03a0\u03c1\u03bf\u03c3\u03b8\u03ae\u03ba\u03b7 \u03c3\u03b5\u03b9\u03c1\u03ac\u03c2 \u03c0\u03c1\u03b9\u03bd","menu.array.add column after":"\u03a0\u03c1\u03bf\u03c3\u03b8\u03ae\u03ba\u03b7 \u03c3\u03c4\u03ae\u03bb\u03b7\u03c2 \u03bc\u03b5\u03c4\u03ac","menu.array.add column before":"\u03a0\u03c1\u03bf\u03c3\u03b8\u03ae\u03ba\u03b7 \u03c3\u03c4\u03ae\u03bb\u03b7\u03c2 \u03c0\u03c1\u03b9\u03bd","menu.array.delete row":"\u0394\u03b9\u03b1\u03b3\u03c1\u03b1\u03c6\u03ae \u03c3\u03b5\u03b9\u03c1\u03ac\u03c2","menu.array.delete rows":"\u0394\u03b9\u03b1\u03b3\u03c1\u03b1\u03c6\u03ae \u03b5\u03c0\u03b9\u03bb\u03b5\u03b3\u03bc\u03ad\u03bd\u03c9\u03bd \u03c3\u03b5\u03b9\u03c1\u03ce\u03bd","menu.array.delete column":"\u0394\u03b9\u03b1\u03b3\u03c1\u03b1\u03c6\u03ae \u03c3\u03c4\u03ae\u03bb\u03b7\u03c2","menu.array.delete columns":"\u0394\u03b9\u03b1\u03b3\u03c1\u03b1\u03c6\u03ae \u03b5\u03c0\u03b9\u03bb\u03b5\u03b3\u03bc\u03ad\u03bd\u03c9\u03bd \u03c3\u03c4\u03b7\u03bb\u03ce\u03bd","submenu.array.insert separator":"\u0395\u03b9\u03c3\u03b1\u03b3\u03c9\u03b3\u03ae \u03b4\u03b9\u03b1\u03c7\u03c9\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03bf\u03cd","menu.insert table":"\u0395\u03b9\u03c3\u03b1\u03b3\u03c9\u03b3\u03ae \u03c0\u03af\u03bd\u03b1\u03ba\u03b1","submenu.table style":"\u03a3\u03c4\u03c5\u03bb \u03c0\u03af\u03bd\u03b1\u03ba\u03b1"},es:{"keyboard.tooltip.functions":"Funciones","keyboard.tooltip.symbols":"S\xedmbolos","keyboard.tooltip.greek":"Letras griegas","keyboard.tooltip.command":"Modo Comando LaTeX","keyboard.tooltip.numeric":"Num\xe9rico","keyboard.tooltip.roman":"Letras romanas","tooltip.copy to clipboard":"Copiar al portapapeles","tooltip.redo":"Rehacer","tooltip.toggle virtual keyboard":"Alternar teclado virtual","tooltip.undo":"Deshacer","menu.insert matrix":"A\xf1adir Matriz","menu.insert vector":"A\xf1adir vector","submenu.array.matrix delimiters":"Delimitadores de Matriz","menu.array.add row above":"A\xf1adir L\xednea Antes","menu.array.add row below":"A\xf1adir L\xednea Despues","menu.array.add column after":"A\xf1adir Columna Despues","menu.array.add column before":"A\xf1adir Columna Antes","menu.array.delete row":"Borrar L\xednea","menu.array.delete rows":"Borrar L\xedneas Seleccionadas","menu.array.delete column":"Borrar Columna","menu.array.delete columns":"Borrar Columnas Seleccionadas","submenu.array.insert separator":"Insertar un Separador","menu.insert table":"Insertar Tabla","submenu.table style":"Estilo de Tabla"},et:{"keyboard.tooltip.functions":"Funktsioonid","keyboard.tooltip.symbols":"S\xfcmbolid","keyboard.tooltip.greek":"Kreeka kirjad","keyboard.tooltip.command":"LaTeXi k\xe4sure\u017eiim","keyboard.tooltip.numeric":"Numbriline","keyboard.tooltip.roman":"Rooma kirjad","tooltip.copy to clipboard":"Kopeerida l\xf5ikelauale","tooltip.redo":"Tee uuesti","tooltip.toggle virtual keyboard":"L\xfclitage sisse virtuaalne klaviatuur","tooltip.undo":"V\xf5ta tagasi","menu.insert matrix":"Sisesta maatriks","menu.insert vector":"Sisesta vektor","submenu.array.matrix delimiters":"Maatriksi eraldajad","menu.array.add row above":"Lisa rida p\xe4rast","menu.array.add row below":"Lisa rida enne","menu.array.add column after":"Lisa veerg p\xe4rast","menu.array.add column before":"Lisa veerg enne","menu.array.delete row":"Kustuta rida","menu.array.delete rows":"Kustuta valitud read","menu.array.delete column":"Kustuta veerg","menu.array.delete columns":"Kustuta valitud veerud","submenu.array.insert separator":"Sisestage eraldaja","menu.insert table":"Sisesta tabeli","submenu.table style":"Tabeli stiilis"},fa:{"keyboard.tooltip.functions":"\u062a\u0648\u0627\u0628\u0639","keyboard.tooltip.symbols":"\u0646\u0645\u0627\u062f\u0647\u0627","keyboard.tooltip.greek":"\u062d\u0631\u0648\u0641 \u06cc\u0648\u0646\u0627\u0646\u06cc","keyboard.tooltip.command":"\u062d\u0627\u0644\u062a \u062f\u0633\u062a\u0648\u0631 \u0644\u0627\u062a\u06a9","keyboard.tooltip.numeric":"\u0639\u062f\u062f\u06cc","keyboard.tooltip.roman":"\u062d\u0631\u0648\u0641 \u0631\u0648\u0645\u06cc","tooltip.copy to clipboard":"\u06a9\u067e\u06cc \u0628\u0647 \u06a9\u0644\u06cc\u067e\u0628\u0648\u0631\u062f","tooltip.redo":"\u0628\u0627\u0632\u06af\u0634\u062a \u0628\u0647 \u0628\u0639\u062f","tooltip.toggle virtual keyboard":"\u0646\u0645\u0627\u06cc\u0634/\u0646\u0647\u0641\u062a\u0646 \u06a9\u06cc\u0628\u0648\u0631\u062f \u0645\u062c\u0627\u0632\u06cc","tooltip.undo":"\u0628\u0627\u0632\u06af\u0634\u062a \u0628\u0647 \u0642\u0628\u0644","menu.insert matrix":"\u0645\u0627\u062a\u0631\u06cc\u0633 \u0631\u0627 \u0648\u0627\u0631\u062f \u06a9\u0646\u06cc\u062f","menu.insert vector":"\u062f\u0631\u062c \u0628\u0631\u062f\u0627\u0631","submenu.array.matrix delimiters":"\u0645\u0631\u0632\u0647\u0627\u06cc \u0645\u0627\u062a\u0631\u06cc\u0633","menu.array.add row above":"\u0628\u0639\u062f \u0627\u0632 \u0622\u0646 \u0631\u062f\u06cc\u0641 \u0627\u0636\u0627\u0641\u0647 \u06a9\u0646\u06cc\u062f","menu.array.add row below":"\u0631\u062f\u06cc\u0641 \u0631\u0627 \u0642\u0628\u0644 \u0627\u0636\u0627\u0641\u0647 \u06a9\u0646\u06cc\u062f","menu.array.add column after":"\u0627\u0636\u0627\u0641\u0647 \u06a9\u0631\u062f\u0646 \u0633\u062a\u0648\u0646 \u0628\u0639\u062f","menu.array.add column before":"\u0633\u062a\u0648\u0646 \u0642\u0628\u0644 \u0631\u0627 \u0627\u0636\u0627\u0641\u0647 \u06a9\u0646\u06cc\u062f","menu.array.delete row":"\u0631\u062f\u06cc\u0641 \u0631\u0627 \u062d\u0630\u0641 \u06a9\u0646\u06cc\u062f","menu.array.delete rows":"\u0631\u062f\u06cc\u0641 \u0647\u0627\u06cc \u0627\u0646\u062a\u062e\u0627\u0628 \u0634\u062f\u0647 \u0631\u0627 \u062d\u0630\u0641 \u06a9\u0646\u06cc\u062f","menu.array.delete column":"\u062d\u0630\u0641 \u0633\u062a\u0648\u0646","menu.array.delete columns":"\u0633\u062a\u0648\u0646 \u0647\u0627\u06cc \u0627\u0646\u062a\u062e\u0627\u0628 \u0634\u062f\u0647 \u0631\u0627 \u062d\u0630\u0641 \u06a9\u0646\u06cc\u062f","submenu.array.insert separator":"\u062f\u0631\u062c \u062c\u062f\u0627 \u06a9\u0646\u0646\u062f\u0647","menu.insert table":"\u0642\u0631\u0627\u0631 \u062f\u0627\u062f\u0646 \u062c\u062f\u0648\u0644","submenu.table style":"\u0633\u0628\u06a9 \u0645\u06cc\u0632"},fi:{"keyboard.tooltip.functions":"Toiminnot","keyboard.tooltip.symbols":"Symbolit","keyboard.tooltip.greek":"Kreikkalaiset kirjeet","keyboard.tooltip.command":"LaTeX-komentotila","keyboard.tooltip.numeric":"Numeerinen","keyboard.tooltip.roman":"Roomalaiset kirjeet","tooltip.copy to clipboard":"Kopioi leikep\xf6yd\xe4lle","tooltip.redo":"Tee uudelleen","tooltip.toggle virtual keyboard":"Vaihda virtuaalin\xe4pp\xe4imist\xf6","tooltip.undo":"Kumoa","menu.insert matrix":"Lis\xe4\xe4 matriisi","menu.insert vector":"Lis\xe4\xe4 vektori","submenu.array.matrix delimiters":"Matriisin erottimet","menu.array.add row above":"Lis\xe4\xe4 rivi j\xe4lkeen","menu.array.add row below":"Lis\xe4\xe4 rivi ennen","menu.array.add column after":"Lis\xe4\xe4 sarake j\xe4lkeen","menu.array.add column before":"Lis\xe4\xe4 sarake ennen","menu.array.delete row":"Poista rivi","menu.array.delete rows":"Poista valitut rivit","menu.array.delete column":"Poista sarake","menu.array.delete columns":"Poista valitut sarakkeet","submenu.array.insert separator":"Aseta erotin","menu.insert table":"Lis\xe4\xe4 taulukko","submenu.table style":"Taulukon tyyli"},fr:{"keyboard.tooltip.functions":"Fonctions","keyboard.tooltip.symbols":"Symboles","keyboard.tooltip.greek":"Lettres grecques","keyboard.tooltip.command":"Mode de commandes LaTeX","keyboard.tooltip.numeric":"Num\xe9rique","keyboard.tooltip.roman":"Lettres romaines","tooltip.copy to clipboard":"Copier dans le presse-papiers","tooltip.redo":"R\xe9tablir","tooltip.toggle virtual keyboard":"Afficher/Masquer le clavier virtuel","tooltip.undo":"Annuler","menu.insert matrix":"Ins\xe9rer une Matrice","menu.insert vector":"Ins\xe9rer un Vecteur","submenu.array.matrix delimiters":"D\xe9limiteurs de la Matrice","menu.array.add row above":"Ajouter une Ligne Avant","menu.array.add row below":"Ajouter une Ligne Apr\xe8s","menu.array.add column before":"Ajouter une Colonne Avant","menu.array.add column after":"Ajouter une Colonne Apr\xe8s","menu.array.delete row":"Enlever une Ligne","menu.array.delete rows":"Enlever les Lignes S\xe9lection\xe9es","menu.array.delete column":"Enlever une Colone","menu.array.delete columns":"Enlever les Colonnes S\xe9lection\xe9es","submenu.array.insert separator":"Ins\xe9rer un S\xe9parateur","menu.insert table":"Ins\xe9rer une Table","submenu.table style":"Style de la  Table"},ga:{"keyboard.tooltip.functions":"Feidhmeanna","keyboard.tooltip.symbols":"Siombail\xed","keyboard.tooltip.greek":"Litreacha na Gr\xe9ige","keyboard.tooltip.command":"M\xf3d Ord\xfa LaTeX","keyboard.tooltip.numeric":"Uimhri\xfail","keyboard.tooltip.roman":"Litreacha R\xf3mh\xe1nacha","tooltip.copy to clipboard":"C\xf3ipe\xe1il chuig an Ghearrthaisce","tooltip.redo":"Athdh\xe9an","tooltip.toggle virtual keyboard":"M\xe9archl\xe1ir F\xedor\xfail a Fh\xe1il","tooltip.undo":"Cealaigh","menu.insert matrix":"Cuir isteach Maitr\xeds","menu.insert vector":"Cuir isteach Veicteoir","submenu.array.matrix delimiters":"Delimiters Maitr\xeds","menu.array.add row above":"Cuir Rae Tar \xe9is","menu.array.add row below":"Cuir Rae Roimh","menu.array.add column after":"Cuir Col\xfan Tar \xe9is","menu.array.add column before":"Cuir Col\xfan Roimh","menu.array.delete row":"Scrios Rae","menu.array.delete rows":"Scrios Sraitheanna Roghnaithe","menu.array.delete column":"Scrios Col\xfan","menu.array.delete columns":"Scrios Col\xfain Roghnaithe","submenu.array.insert separator":"Cuir Deighilteoir isteach","menu.insert table":"Ions\xe1igh T\xe1bla","submenu.table style":"St\xedl T\xe1bla"},he:{"keyboard.tooltip.functions":"\u05e4\u05d5\u05e0\u05e7\u05e6\u05d9\u05d5\u05ea","keyboard.tooltip.symbols":"\u05e1\u05de\u05dc\u05d9\u05dd","keyboard.tooltip.greek":"\u05d0\u05d5\u05ea\u05d9\u05d5\u05ea \u05d9\u05d5\u05d5\u05e0\u05d9\u05d5\u05ea","keyboard.tooltip.command":"\u05de\u05e6\u05d1 \u05e4\u05e7\u05d5\u05d3\u05d4 \u05dc\u05d8\u05e7\u05e1","keyboard.tooltip.numeric":"\u05de\u05e1\u05e4\u05e8\u05d9","keyboard.tooltip.roman":"\u05de\u05db\u05ea\u05d1\u05d9\u05dd \u05e8\u05d5\u05de\u05d9\u05d9\u05dd","tooltip.copy to clipboard":"\u05d4\u05e2\u05ea\u05e7 \u05dc\u05dc\u05d5\u05d7","tooltip.redo":"\u05dc\u05b7\u05e2\u05b2\u05e9\u05c2\u05d5\u05b9\u05ea \u05e9\u05c1\u05d5\u05bc\u05d1","tooltip.toggle virtual keyboard":"\u05d4\u05d7\u05dc\u05e3 \u05d0\u05ea \u05d4\u05de\u05e7\u05dc\u05d3\u05ea \u05d4\u05d5\u05d5\u05d9\u05e8\u05d8\u05d5\u05d0\u05dc\u05d9\u05ea","tooltip.undo":"\u05dc\u05d1\u05d8\u05dc","menu.insert matrix":"\u05d4\u05db\u05e0\u05e1 \u05de\u05d8\u05e8\u05d9\u05e7\u05e1","menu.insert vector":"\u05d4\u05db\u05e0\u05e1 \u05d5\u05e7\u05d8\u05d5\u05e8","submenu.array.matrix delimiters":"\u05de\u05e4\u05e8\u05d9\u05d3\u05d9 \u05de\u05d8\u05e8\u05d9\u05e7\u05e1","menu.array.add row above":"\u05d4\u05d5\u05e1\u05e3 \u05e9\u05d5\u05e8\u05d4 \u05d0\u05d7\u05e8\u05d9","menu.array.add row below":"\u05d4\u05d5\u05e1\u05e3 \u05e9\u05d5\u05e8\u05d4 \u05dc\u05e4\u05e0\u05d9","menu.array.add column after":"\u05d4\u05d5\u05e1\u05e3 \u05e2\u05de\u05d5\u05d3\u05d4 \u05d0\u05d7\u05e8\u05d9","menu.array.add column before":"\u05d4\u05d5\u05e1\u05e3 \u05e2\u05de\u05d5\u05d3\u05d4 \u05dc\u05e4\u05e0\u05d9","menu.array.delete row":"\u05de\u05d7\u05e7 \u05e9\u05d5\u05e8\u05d4","menu.array.delete rows":"\u05de\u05d7\u05e7 \u05e9\u05d5\u05e8\u05d5\u05ea \u05e9\u05e0\u05d1\u05d7\u05e8\u05d5","menu.array.delete column":"\u05de\u05d7\u05e7 \u05e2\u05de\u05d5\u05d3\u05d4","menu.array.delete columns":"\u05de\u05d7\u05e7 \u05e2\u05de\u05d5\u05d3\u05d5\u05ea \u05e9\u05e0\u05d1\u05d7\u05e8\u05d5","submenu.array.insert separator":"\u05d4\u05db\u05e0\u05e1 \u05de\u05e4\u05e8\u05d9\u05d3","menu.insert table":"\u05d4\u05db\u05e0\u05e1 \u05d8\u05d1\u05dc\u05d4","submenu.table style":"\u05d8\u05d1\u05dc\u05d4 \u05e1\u05b4\u05d2\u05b0\u05e0\u05d5\u05b9\u05df"},hr:{"keyboard.tooltip.functions":"Funkcije","keyboard.tooltip.symbols":"Simboli","keyboard.tooltip.greek":"Gr\u010dka slova","keyboard.tooltip.command":"LaTeX naredbeni na\u010din","keyboard.tooltip.numeric":"Numeri\u010dki","keyboard.tooltip.roman":"Rimska slova","tooltip.copy to clipboard":"Kopirati u me\u0111uspremnik","tooltip.redo":"Ponovi","tooltip.toggle virtual keyboard":"Uklju\u010di / isklju\u010di virtualnu tipkovnicu","tooltip.undo":"Poni\u0161ti","menu.insert matrix":"Umetni matricu","menu.insert vector":"Umetni vektor","submenu.array.matrix delimiters":"Matri\u010dni razdjelnici","menu.array.add row above":"Dodaj redak nakon","menu.array.add row below":"Dodaj redak prije","menu.array.add column after":"Dodaj stupac nakon","menu.array.add column before":"Dodaj stupac prije","menu.array.delete row":"Izbri\u0161i redak","menu.array.delete rows":"Izbri\u0161i odabrane retke","menu.array.delete column":"Izbri\u0161i stupac","menu.array.delete columns":"Izbri\u0161i odabrane stupce","submenu.array.insert separator":"Umetni separator","menu.insert table":"Umetni tablicu","submenu.table style":"Stil tabele"},id:{"keyboard.tooltip.functions":"Fungsi","keyboard.tooltip.symbols":"Simbol","keyboard.tooltip.greek":"Huruf Yunani","keyboard.tooltip.command":"Mode Perintah LaTeX","keyboard.tooltip.numeric":"Numerik","keyboard.tooltip.roman":"Surat Romawi","tooltip.copy to clipboard":"Menyalin ke clipboard","tooltip.redo":"Mengulangi","tooltip.toggle virtual keyboard":"Alihkan Keyboard Virtual","tooltip.undo":"Membuka","menu.insert matrix":"Sisipkan Matriks","menu.insert vector":"Sisipkan Vektor","submenu.array.matrix delimiters":"Pembatas Matriks","menu.array.add row above":"Tambahkan Baris Setelah","menu.array.add row below":"Tambahkan Baris Sebelumnya","menu.array.add column after":"Tambahkan Kolom Setelah","menu.array.add column before":"Tambahkan Kolom Sebelumnya","menu.array.delete row":"Hapus Baris","menu.array.delete rows":"Hapus Baris yang Dipilih","menu.array.delete column":"Hapus Kolom","menu.array.delete columns":"Hapus Kolom yang Dipilih","submenu.array.insert separator":"Sisipkan Pemisah","menu.insert table":"Sisipkan Tabel","submenu.table style":"Gaya Tabel"},hi:{"keyboard.tooltip.functions":"\u0915\u093e\u0930\u094d\u092f\u094b\u0902","keyboard.tooltip.symbols":"\u092a\u094d\u0930\u0924\u0940\u0915","keyboard.tooltip.greek":"\u0917\u094d\u0930\u0940\u0915 \u0905\u0915\u094d\u0937\u0930","keyboard.tooltip.command":"\u0932\u093e\u091f\u0947\u0915\u094d\u0938 \u0915\u092e\u093e\u0902\u0921 \u092e\u094b\u0921","keyboard.tooltip.numeric":"\u0938\u0902\u0916\u094d\u092f\u093e\u0924\u094d\u092e\u0915","keyboard.tooltip.roman":"\u0930\u094b\u092e\u0928 \u092a\u0924\u094d\u0930","tooltip.copy to clipboard":"\u0915\u094d\u0932\u093f\u092a\u092c\u094b\u0930\u094d\u0921 \u092a\u0930 \u0915\u0949\u092a\u0940 \u0915\u0930\u0947\u0902","tooltip.redo":"\u092b\u093f\u0930 \u0938\u0947 \u0915\u0930\u0947\u0902","tooltip.toggle virtual keyboard":"\u0935\u0930\u094d\u091a\u0941\u0905\u0932 \u0915\u0940\u092c\u094b\u0930\u094d\u0921 \u091f\u0949\u0917\u0932 \u0915\u0930\u0947\u0902","tooltip.undo":"\u092a\u0942\u0930\u094d\u0935\u0935\u0924","menu.insert matrix":"\u092e\u0948\u091f\u094d\u0930\u093f\u0915\u094d\u0938 \u0921\u093e\u0932\u0947\u0902","menu.insert vector":"\u0935\u0947\u0915\u094d\u091f\u0930 \u0921\u093e\u0932\u0947\u0902","submenu.array.matrix delimiters":"\u092e\u0948\u091f\u094d\u0930\u093f\u0915\u094d\u0938 \u0938\u0940\u092e\u093e\u0902\u0915\u0915","menu.array.add row above":"\u092c\u093e\u0926 \u092e\u0947\u0902 \u092a\u0902\u0915\u094d\u0924\u093f \u091c\u094b\u0921\u093c\u0947\u0902","menu.array.add row below":"\u092a\u0939\u0932\u0947 \u092a\u0902\u0915\u094d\u0924\u093f \u091c\u094b\u0921\u093c\u0947\u0902","menu.array.add column after":"\u092c\u093e\u0926 \u092e\u0947\u0902 \u0915\u0949\u0932\u092e \u091c\u094b\u0921\u093c\u0947\u0902","menu.array.add column before":"\u092a\u0939\u0932\u0947 \u0915\u0949\u0932\u092e \u091c\u094b\u0921\u093c\u0947\u0902","menu.array.delete row":"\u092a\u0902\u0915\u094d\u0924\u093f \u0915\u094b \u0939\u091f\u093e\u090f\u0902","menu.array.delete rows":"\u091a\u092f\u0928\u093f\u0924 \u092a\u0902\u0915\u094d\u0924\u093f\u092f\u094b\u0902 \u0915\u094b \u0939\u091f\u093e\u090f\u0902","menu.array.delete column":"\u0915\u0949\u0932\u092e \u0939\u091f\u093e\u090f\u0902","menu.array.delete columns":"\u091a\u092f\u0928\u093f\u0924 \u0915\u0949\u0932\u092e \u0939\u091f\u093e\u090f\u0902","submenu.array.insert separator":"\u0935\u093f\u092d\u093e\u091c\u0915 \u0921\u093e\u0932\u0947\u0902","menu.insert table":"\u091f\u0947\u092c\u0932 \u0907\u0902\u0938\u0930\u094d\u091f \u0915\u0930\u0947\u0902","submenu.table style":"\u091f\u0947\u092c\u0932 \u0938\u094d\u091f\u093e\u0907\u0932"},hu:{"keyboard.tooltip.functions":"Funkci\xf3k","keyboard.tooltip.symbols":"Szimb\xf3lumok","keyboard.tooltip.greek":"G\xf6r\xf6g levelek","keyboard.tooltip.command":"LaTeX Parancs m\xf3d","keyboard.tooltip.numeric":"Numerikus","keyboard.tooltip.roman":"R\xf3mai levelek","tooltip.copy to clipboard":"M\xe1solja a v\xe1g\xf3lapra","tooltip.redo":"\xdajra","tooltip.toggle virtual keyboard":"V\xe1lt\xe1s a virtu\xe1lis billenty\u0171zetre","tooltip.undo":"Visszavon\xe1s","menu.insert matrix":"Helyezze be a M\xe1trixot","menu.insert vector":"Vektor besz\xfar\xe1sa","submenu.array.matrix delimiters":"M\xe1trixhat\xe1rol\xf3k","menu.array.add row above":"Sor hozz\xe1ad\xe1sa ut\xe1n","menu.array.add row below":"Add Add Sor el\u0151tt","menu.array.add column after":"Oszlop hozz\xe1ad\xe1sa ut\xe1n","menu.array.add column before":"Add oszlop el\u0151tt","menu.array.delete row":"Sor t\xf6rl\xe9se","menu.array.delete rows":"Kijel\xf6lt sorok t\xf6rl\xe9se","menu.array.delete column":"Oszlop t\xf6rl\xe9se","menu.array.delete columns":"A kijel\xf6lt oszlopok t\xf6rl\xe9se","submenu.array.insert separator":"Helyezze be az elv\xe1laszt\xf3t","menu.insert table":"Helyezze be a t\xe1bl\xe1zatot","submenu.table style":"T\xe1bl\xe1zatos st\xedlus"},it:{"keyboard.tooltip.functions":"Funzioni","keyboard.tooltip.symbols":"Simboli","keyboard.tooltip.greek":"Lettere greche","keyboard.tooltip.command":"Modalit\xe0 di comando LaTeX","keyboard.tooltip.numeric":"Numerico","keyboard.tooltip.roman":"Lettere romane","tooltip.copy to clipboard":"Copia negli appunti","tooltip.redo":"Rifare","tooltip.toggle virtual keyboard":"Attiva / disattiva la tastiera virtuale","tooltip.undo":"Disfare","menu.insert matrix":"Inserisci una Matrice","menu.insert vector":"Inserisci Vettore","submenu.array.matrix delimiters":"Delimitatori di Matrice","menu.array.add row above":"Aggiungi una Riga Prima","menu.array.add row below":"Aggiungi una Riga Dopo","menu.array.add column before":"Aggiungi una Colonna Prima","menu.array.add column after":"Aggiungi una Colonna Dopo","menu.array.delete row":"Rimuovi una Riga","menu.array.delete rows":"Rimuovi le Righe Selezionate","menu.array.delete column":"Rimuovi una Colonna","menu.array.delete columns":"Rimuovi le Colonne Selezionate","submenu.array.insert separator":"Inserisci un Separatore","menu.insert table":"Inserisci Tabella","submenu.table style":"Stile tabella"},is:{"keyboard.tooltip.functions":"A\xf0ger\xf0ir","keyboard.tooltip.symbols":"T\xe1kn","keyboard.tooltip.greek":"Gr\xedsk br\xe9f","keyboard.tooltip.command":"LaTeX stj\xf3rnunarstilling","keyboard.tooltip.numeric":"T\xf6lulegt","keyboard.tooltip.roman":"R\xf3mversk br\xe9f","tooltip.copy to clipboard":"Afrita\xf0u \xe1 klemmuspjald","tooltip.redo":"Endurtaka","tooltip.toggle virtual keyboard":"Skiptu um s\xfdndarlyklabor\xf0","tooltip.undo":"Afturkalla","menu.insert matrix":"Settu fylki inn","menu.insert vector":"Settu inn Vector","submenu.array.matrix delimiters":"Matrix afm\xf6rkun","menu.array.add row above":"B\xe6ta vi\xf0 r\xf6\xf0 \xe1 eftir","menu.array.add row below":"B\xe6ta vi\xf0 r\xf6\xf0 \xe1\xf0ur","menu.array.add column after":"B\xe6ta vi\xf0 d\xe1lki \xe1 eftir","menu.array.add column before":"B\xe6ta vi\xf0 d\xe1lki \xe1\xf0ur","menu.array.delete row":"Ey\xf0a r\xf6\xf0","menu.array.delete rows":"Ey\xf0a v\xf6ldum l\xednum","menu.array.delete column":"Ey\xf0a d\xe1lki","menu.array.delete columns":"Ey\xf0a v\xf6ldum d\xe1lkum","submenu.array.insert separator":"Settu skiljuna \xed","menu.insert table":"Settu inn t\xf6flu","submenu.table style":"T\xf6flu st\xedl"},ja:{"keyboard.tooltip.functions":"\u95a2\u6570","keyboard.tooltip.symbols":"\u30b7\u30f3\u30dc\u30eb","keyboard.tooltip.greek":"\u30ae\u30ea\u30b7\u30e3\u6587\u5b57","keyboard.tooltip.command":"\u30e9\u30c6\u30c3\u30af\u30b9\u30b3\u30de\u30f3\u30c9\u30e2\u30fc\u30c9","keyboard.tooltip.numeric":"\u6570\u5024","keyboard.tooltip.roman":"\u30ed\u30fc\u30de\u5b57","tooltip.copy to clipboard":"\u30af\u30ea\u30c3\u30d7\u30dc\u30fc\u30c9\u306b\u30b3\u30d4\u30fc","tooltip.redo":"\u3084\u308a\u76f4\u3057","tooltip.toggle virtual keyboard":"\u4eee\u60f3\u30ad\u30fc\u30dc\u30fc\u30c9\u306e\u5207\u308a\u66ff\u3048","tooltip.undo":"\u5143\u306b\u623b\u3059","menu.insert matrix":"\u30de\u30c8\u30ea\u30c3\u30af\u30b9\u3092\u633f\u5165","menu.insert vector":"\u30d9\u30af\u30c8\u30eb\u3092\u633f\u5165","submenu.array.matrix delimiters":"\u884c\u5217\u533a\u5207\u308a\u6587\u5b57","menu.array.add row above":"\u5f8c\u306b\u884c\u3092\u8ffd\u52a0","menu.array.add row below":"\u524d\u306b\u884c\u3092\u8ffd\u52a0","menu.array.add column after":"\u5f8c\u306b\u5217\u3092\u8ffd\u52a0","menu.array.add column before":"\u524d\u306b\u5217\u3092\u8ffd\u52a0","menu.array.delete row":"\u884c\u3092\u524a\u9664","menu.array.delete rows":"\u9078\u629e\u3057\u305f\u884c\u3092\u524a\u9664\u3059\u308b","menu.array.delete column":"\u5217\u3092\u524a\u9664","menu.array.delete columns":"\u9078\u629e\u3057\u305f\u5217\u3092\u524a\u9664\u3059\u308b","submenu.array.insert separator":"\u30bb\u30d1\u30ec\u30fc\u30bf\u30fc\u3092\u633f\u5165","menu.insert table":"\u30c6\u30fc\u30d6\u30eb\u3092\u633f\u5165","submenu.table style":"\u30c6\u30fc\u30d6\u30eb\u30b9\u30bf\u30a4\u30eb"},ko:{"keyboard.tooltip.functions":"\uae30\ub2a5","keyboard.tooltip.symbols":"\uae30\ud638","keyboard.tooltip.greek":"\uadf8\ub9ac\uc2a4 \ubb38\uc790","keyboard.tooltip.command":"\uc720\uc561 \uba85\ub839 \ubaa8\ub4dc","keyboard.tooltip.numeric":"\uc22b\uc790","keyboard.tooltip.roman":"\ub85c\ub9c8 \ubb38\uc790","tooltip.copy to clipboard":"\ud074\ub9bd \ubcf4\ub4dc\uc5d0 \ubcf5\uc0ac","tooltip.redo":"\ub2e4\uc2dc \ud558\ub2e4","tooltip.toggle virtual keyboard":"\uac00\uc0c1 \ud0a4\ubcf4\ub4dc \uc804\ud658","tooltip.undo":"\uc2e4\ud589 \ucde8\uc18c","menu.insert matrix":"\ub9e4\ud2b8\ub9ad\uc2a4 \uc0bd\uc785","menu.insert vector":"\ubca1\ud130 \uc0bd\uc785","submenu.array.matrix delimiters":"\ud589\ub82c \uad6c\ubd84 \uae30\ud638","menu.array.add row above":"\ub4a4\uc5d0 \ud589 \ucd94\uac00","menu.array.add row below":"\uc55e\uc5d0 \ud589 \ucd94\uac00","menu.array.add column after":"\ub4a4\uc5d0 \uc5f4 \ucd94\uac00","menu.array.add column before":"\uc55e\uc5d0 \uc5f4 \ucd94\uac00","menu.array.delete row":"\ud589 \uc0ad\uc81c","menu.array.delete rows":"\uc120\ud0dd\ud55c \ud589 \uc0ad\uc81c","menu.array.delete column":"\uc5f4 \uc0ad\uc81c","menu.array.delete columns":"\uc120\ud0dd\ud55c \uc5f4 \uc0ad\uc81c","submenu.array.insert separator":"\uad6c\ubd84\uc790 \uc0bd\uc785","menu.insert table":"\ud45c \uc0bd\uc785","submenu.table style":"\ud14c\uc774\ube14 \uc2a4\ud0c0\uc77c"},lv:{"keyboard.tooltip.functions":"Funkcijas","keyboard.tooltip.symbols":"Simboli","keyboard.tooltip.greek":"Grie\u0137u burti","keyboard.tooltip.command":"LaTeX komandu re\u017e\u012bms","keyboard.tooltip.numeric":"Ciparu skaitlis","keyboard.tooltip.roman":"Romie\u0161u v\u0113stules","tooltip.copy to clipboard":"Kop\u0113t starpliktuv\u0113","tooltip.redo":"P\u0101rtais\u012bt","tooltip.toggle virtual keyboard":"P\u0101rsl\u0113gt virtu\u0101lo tastat\u016bru","tooltip.undo":"Atsaukt","menu.insert matrix":"Ievietojiet matricu","menu.insert vector":"Ievietot vektoru","submenu.array.matrix delimiters":"Matricas norobe\u017eot\u0101ji","menu.array.add row above":"Pievienot rindu p\u0113c","menu.array.add row below":"Pievienot rindu pirms","menu.array.add column after":"Pievienot kolonnu p\u0113c","menu.array.add column before":"Pievienot kolonnu pirms","menu.array.delete row":"Dz\u0113st rindu","menu.array.delete rows":"Dz\u0113st atlas\u012bt\u0101s rindas","menu.array.delete column":"Dz\u0113st kolonnu","menu.array.delete columns":"Dz\u0113st atlas\u012bt\u0101s kolonnas","submenu.array.insert separator":"Ievietojiet atdal\u012bt\u0101ju","menu.insert table":"Ievietojiet tabulu","submenu.table style":"Galda stils"},lt:{"keyboard.tooltip.functions":"Funkcijos","keyboard.tooltip.symbols":"Simboliai","keyboard.tooltip.greek":"Graiki\u0161kos raid\u0117s","keyboard.tooltip.command":"LaTeX komand\u0173 re\u017eimas","keyboard.tooltip.numeric":"Skaitmeninis","keyboard.tooltip.roman":"Romos lai\u0161kai","tooltip.copy to clipboard":"Nukopijuoti \u012f i\u0161karpin\u0119","tooltip.redo":"Perdaryti","tooltip.toggle virtual keyboard":"Perjungti virtuali\u0105j\u0105 klaviat\u016br\u0105","tooltip.undo":"At\u0161aukti","menu.insert matrix":"Ievietojiet matricu","menu.insert vector":"Ievietot vektoru","submenu.array.matrix delimiters":"Matricas norobe\u017eot\u0101ji","menu.array.add row above":"Pievienot rindu p\u0113c","menu.array.add row below":"Pievienot rindu pirms","menu.array.add column after":"Pievienot kolonnu p\u0113c","menu.array.add column before":"Pievienot kolonnu pirms","menu.array.delete row":"Dz\u0113st rindu","menu.array.delete rows":"Dz\u0113st atlas\u012bt\u0101s rindas","menu.array.delete column":"Dz\u0113st kolonnu","menu.array.delete columns":"Dz\u0113st atlas\u012bt\u0101s kolonnas","submenu.array.insert separator":"Ievietojiet atdal\u012bt\u0101ju","menu.insert table":"Ievietojiet tabulu","submenu.table style":"Tabulas stili"},lu:{"keyboard.tooltip.functions":"Funktiounen","keyboard.tooltip.symbols":"Symboler","keyboard.tooltip.greek":"Griichesch Br\xe9iwer","keyboard.tooltip.command":"LaTeX Kommando Modus","keyboard.tooltip.numeric":"Numeresch","keyboard.tooltip.roman":"R\xe9imesch Br\xe9iwer","tooltip.copy to clipboard":"Kop\xe9iert op Clipboard","tooltip.redo":"Nees nei maachen","tooltip.toggle virtual keyboard":"Wiesselt Virtuell Tastatur","tooltip.undo":"Undoen","menu.insert matrix":"Matrix asetzen","menu.insert vector":"Insert Vector","submenu.array.matrix delimiters":"Matrix Ofgrenzer","menu.array.add row above":"Dob\xe4izemaachen Rei No","menu.array.add row below":"F\xfc\xfcgt Rei vir","menu.array.add column after":"Dob\xe4izemaachen Kolonn No","menu.array.add column before":"Kolonn derb\xe4i Virun","menu.array.delete row":"Rad l\xe4schen","menu.array.delete rows":"L\xe4scht Ausgewielte Reien","menu.array.delete column":"L\xe4scht Kolonn","menu.array.delete columns":"L\xe4scht Ausgewielte Kolonnen","submenu.array.insert separator":"Insert Separator","menu.insert table":"D\xebsch anzeginn","submenu.table style":"D\xebsch Style"},nl:{"keyboard.tooltip.functions":"Functies","keyboard.tooltip.symbols":"Symbolen","keyboard.tooltip.greek":"Griekse letters","keyboard.tooltip.command":"LaTeX commando mode","keyboard.tooltip.numeric":"Numeriek","keyboard.tooltip.roman":"Romeinse letters","tooltip.copy to clipboard":"Kopi\xebren naar klembord","tooltip.redo":"Opnieuw","tooltip.toggle virtual keyboard":"Schakel naar virtueel toetsenbord","tooltip.undo":"Ongedaan maken","menu.insert matrix":"Matrix invoegen","menu.insert vector":"Vector invoegen","submenu.array.matrix delimiters":"Matrixscheidingstekens","menu.array.add row above":"Rij toevoegen na","menu.array.add row below":"Rij toevoegen eerder","menu.array.add column after":"Kolom toevoegen na","menu.array.add column before":"Kolom toevoegen voor","menu.array.delete row":"Verwijder rij","menu.array.delete rows":"Geselecteerde rijen verwijderen","menu.array.delete column":"Kolom verwijderen","menu.array.delete columns":"Geselecteerde kolommen verwijderen","submenu.array.insert separator":"Scheidingsteken invoegen","menu.insert table":"Tabel invoegen","submenu.table style":"Tabelstijl"},no:{"keyboard.tooltip.functions":"Funksjoner","keyboard.tooltip.symbols":"Symboler","keyboard.tooltip.greek":"Greske bokstaver","keyboard.tooltip.command":"LaTeX kommandomodus","keyboard.tooltip.numeric":"Numerisk","keyboard.tooltip.roman":"Romerske bokstaver","tooltip.copy to clipboard":"Kopiere til utklippstavle","tooltip.redo":"Gj\xf8re om","tooltip.toggle virtual keyboard":"Bytt virtuelt tastatur","tooltip.undo":"Angre","menu.insert matrix":"Sett inn matrise","menu.insert vector":"Sett inn vektor","submenu.array.matrix delimiters":"Matrix avgrensere","menu.array.add row above":"Legg til rad etter","menu.array.add row below":"Legg til rad f\xf8r","menu.array.add column after":"Legg til kolonne etter","menu.array.add column before":"Legg til kolonne f\xf8r","menu.array.delete row":"Slett rad","menu.array.delete rows":"Slett valgte rader","menu.array.delete column":"Slett kolonne","menu.array.delete columns":"Slett valgte kolonner","submenu.array.insert separator":"Sett inn skilletegn","menu.insert table":"Sett inn tabell","submenu.table style":"Tabellstil"},mk:{"keyboard.tooltip.functions":"\u0424\u0443\u043d\u043a\u0446\u0438\u0438","keyboard.tooltip.symbols":"\u0421\u0438\u043c\u0431\u043e\u043b\u0438","keyboard.tooltip.greek":"\u0413\u0440\u0447\u043a\u0438 \u0431\u0443\u043a\u0432\u0438","keyboard.tooltip.command":"\u0420\u0435\u0436\u0438\u043c \u043d\u0430 \u043a\u043e\u043c\u0430\u043d\u0434\u0430 \u0432\u043e \u043b\u0430\u0442\u0435\u043a\u0441","keyboard.tooltip.numeric":"\u041d\u0443\u043c\u0435\u0440\u0438\u0447\u043a\u0438","keyboard.tooltip.roman":"\u0420\u0438\u043c\u0441\u043a\u0438 \u043f\u0438\u0441\u043c\u0430","tooltip.copy to clipboard":"\u041a\u043e\u043f\u0438\u0440\u0430\u0458\u0442\u0435 \u0432\u043e \u043a\u043b\u0438\u043f\u0431\u043e\u0440\u0434","tooltip.redo":"\u041f\u043e\u0432\u0442\u043e\u0440\u043d\u043e","tooltip.toggle virtual keyboard":"\u0412\u043a\u043b\u0443\u0447\u0435\u0442\u0435 \u0458\u0430 \u0432\u0438\u0440\u0442\u0443\u0435\u043b\u043d\u0430\u0442\u0430 \u0442\u0430\u0441\u0442\u0430\u0442\u0443\u0440\u0430","tooltip.undo":"\u0412\u0440\u0430\u0442\u0438","menu.insert matrix":"\u0412\u043c\u0435\u0442\u043d\u0435\u0442\u0435 \u043c\u0430\u0442\u0440\u0438\u0446\u0430","menu.insert vector":"\u0412\u043c\u0435\u0442\u043d\u0438 \u0432\u0435\u043a\u0442\u043e\u0440","submenu.array.matrix delimiters":"\u0420\u0430\u0437\u0433\u0440\u0430\u043d\u0438\u0447\u0443\u0432\u0430\u0447\u0438 \u043d\u0430 \u043c\u0430\u0442\u0440\u0438\u0446\u0430","menu.array.add row above":"\u0414\u043e\u0434\u0430\u0434\u0435\u0442\u0435 \u0440\u0435\u0434 \u043f\u043e\u0441\u043b\u0435","menu.array.add row below":"\u0414\u043e\u0434\u0430\u0434\u0438 \u0440\u0435\u0434 \u043f\u0440\u0435\u0434 \u0442\u043e\u0430","menu.array.add column after":"\u0414\u043e\u0434\u0430\u0434\u0435\u0442\u0435 \u043a\u043e\u043b\u043e\u043d\u0430 \u043f\u043e\u0441\u043b\u0435","menu.array.add column before":"\u0414\u043e\u0434\u0430\u0434\u0435\u0442\u0435 \u043a\u043e\u043b\u043e\u043d\u0430 \u043f\u0440\u0435\u0434 \u0442\u043e\u0430","menu.array.delete row":"\u0418\u0437\u0431\u0440\u0438\u0448\u0438 \u0433\u043e \u0440\u0435\u0434\u043e\u0442","menu.array.delete rows":"\u0418\u0437\u0431\u0440\u0438\u0448\u0435\u0442\u0435 \u0433\u0438 \u0438\u0437\u0431\u0440\u0430\u043d\u0438\u0442\u0435 \u0440\u0435\u0434\u043e\u0432\u0438","menu.array.delete column":"\u0418\u0437\u0431\u0440\u0438\u0448\u0438 \u0458\u0430 \u043a\u043e\u043b\u043e\u043d\u0430\u0442\u0430","menu.array.delete columns":"\u0418\u0437\u0431\u0440\u0438\u0448\u0438 \u0458\u0430 \u043a\u043e\u043b\u043e\u043d\u0430\u0442\u0430","submenu.array.insert separator":"\u0412\u043c\u0435\u0442\u043d\u0435\u0442\u0435 \u0441\u0435\u043f\u0430\u0440\u0430\u0442\u043e\u0440","menu.insert table":"\u0412\u043c\u0435\u0442\u043d\u0438 \u0442\u0430\u0431\u0435\u043b\u0430","submenu.table style":"\u0422\u0430\u0431\u0435\u043b\u0430 \u0441\u0442\u0438\u043b"},pl:{"keyboard.tooltip.functions":"Funkcje","keyboard.tooltip.symbols":"Symbolika","keyboard.tooltip.greek":"Litery greckie","keyboard.tooltip.command":"Tryb polece\u0144 LaTeX","keyboard.tooltip.numeric":"Numeryczne","keyboard.tooltip.roman":"Litery rzymskie","tooltip.copy to clipboard":"Kopiuj do Schowka","tooltip.redo":"Przywr\xf3\u0107","tooltip.toggle virtual keyboard":"Prze\u0142\u0105cz wirtualn\u0105 klawiatur\u0119","tooltip.undo":"Cofnij","menu.insert matrix":"Wstaw macierz","menu.insert vector":"Wstaw wektor","submenu.array.matrix delimiters":"Ograniczniki macierzy","menu.array.add row above":"Dodaj wiersz po","menu.array.add row below":"Dodaj wiersz przed","menu.array.add column after":"Dodaj kolumn\u0119 po","menu.array.add column before":"Dodaj kolumn\u0119 przed","menu.array.delete row":"Usu\u0144 wiersz","menu.array.delete rows":"Usu\u0144 wybrane wiersze","menu.array.delete column":"Usu\u0144 kolumn\u0119","menu.array.delete columns":"Usu\u0144 wybrane kolumny","submenu.array.insert separator":"Wstaw separator","menu.insert table":"Wype\u0142nij tabel\u0119","submenu.table style":"Styl tabel\u0119"},pt:{"keyboard.tooltip.functions":"Functions","keyboard.tooltip.symbols":"S\xedmbolos","keyboard.tooltip.greek":"Letras gregas","keyboard.tooltip.command":"Modo de Comando LaTeX","keyboard.tooltip.numeric":"Num\xe9rico","keyboard.tooltip.roman":"Letras romanas","tooltip.copy to clipboard":"Copiar para \xe1rea de transfer\xeancia","tooltip.redo":"Refazer","tooltip.toggle virtual keyboard":"Alternar teclado virtual","tooltip.undo":"Desfazer","menu.insert matrix":"Inserir Matriz","menu.insert vector":"Inserir vetor","submenu.array.matrix delimiters":"Delimitadores de matriz","menu.array.add row above":"Adicionar linha depois","menu.array.add row below":"Adicionar linha antes","menu.array.add column after":"Adicionar coluna depois","menu.array.add column before":"Adicionar coluna antes","menu.array.delete row":"Excluir linha","menu.array.delete rows":"Excluir linhas selecionadas","menu.array.delete column":"Apagar Coluna","menu.array.delete columns":"Excluir Colunas Selecionadas","submenu.array.insert separator":"Inserir Separador","menu.insert table":"Insira a tabela","submenu.table style":"Estilo tabela"},ro:{"keyboard.tooltip.functions":"Func\u021bii","keyboard.tooltip.symbols":"Simboluri","keyboard.tooltip.greek":"Scrisori grece\u0219ti","keyboard.tooltip.command":"Modul de comand\u0103 latex","keyboard.tooltip.numeric":"Numeric","keyboard.tooltip.roman":"Scrisori romane","tooltip.copy to clipboard":"Copia\u021bi \xeen clipboard","tooltip.redo":"A reface","tooltip.toggle virtual keyboard":"Comuta\u021bi tastatura virtual\u0103","tooltip.undo":"Anula","menu.insert matrix":"Introduce\u021bi Matrix","menu.insert vector":"Insera\u021bi Vector","submenu.array.matrix delimiters":"Delimitatori de matrice","menu.array.add row above":"Ad\u0103uga\u021bi r\xe2ndul dup\u0103","menu.array.add row below":"Ad\u0103uga\u021bi r\xe2ndul \xeenainte","menu.array.add column after":"Ad\u0103uga\u021bi o coloan\u0103 dup\u0103","menu.array.add column before":"Ad\u0103uga\u021bi o coloan\u0103 \xeenainte","menu.array.delete row":"\u0218terge\u021bi r\xe2ndul","menu.array.delete rows":"\u0218terge\u021bi r\xe2ndurile selectate","menu.array.delete column":"\u0218terge\u021bi coloana","menu.array.delete columns":"\u0218terge\u021bi coloanele selectate","submenu.array.insert separator":"Introduce\u021bi separatorul","menu.insert table":"Introduce\u021bi tabelul","submenu.table style":"Table style"},ru:{"keyboard.tooltip.functions":"\u0424\u0443\u043d\u043a\u0446\u0438\u0438","keyboard.tooltip.symbols":"\u0421\u0438\u043c\u0432\u043e\u043b\u044b","keyboard.tooltip.greek":"\u0413\u0440\u0435\u0447\u0435\u0441\u043a\u0438\u0435 \u0431\u0443\u043a\u0432\u044b","keyboard.tooltip.command":"\u0420\u0435\u0436\u0438\u043c \u043a\u043e\u043c\u0430\u043d\u0434\u043d\u043e\u0439 \u0441\u0442\u0440\u043e\u043a\u0438 \u041b\u0430\u0442\u0435\u043a\u0441","keyboard.tooltip.numeric":"\u0447\u0438\u0441\u043b\u043e\u0432\u043e\u0439","keyboard.tooltip.roman":"\u041b\u0430\u0442\u0438\u043d\u0441\u043a\u0438\u0435 \u0431\u0443\u043a\u0432\u044b","tooltip.copy to clipboard":"\u0421\u043a\u043e\u043f\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u0432 \u0431\u0443\u0444\u0435\u0440 \u043e\u0431\u043c\u0435\u043d\u0430","tooltip.redo":"\u043f\u0435\u0440\u0435\u0434\u0435\u043b\u044b\u0432\u0430\u0442\u044c","tooltip.toggle virtual keyboard":"\u041f\u0435\u0440\u0435\u043a\u043b\u044e\u0447\u0438\u0442\u044c \u0432\u0438\u0440\u0442\u0443\u0430\u043b\u044c\u043d\u0443\u044e \u043a\u043b\u0430\u0432\u0438\u0430\u0442\u0443\u0440\u0443","tooltip.undo":"\u0440\u0430\u0441\u0441\u0442\u0435\u0433\u0438\u0432\u0430\u0442\u044c","menu.insert matrix":"\u0412\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u0443","menu.insert vector":"\u0412\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u0432\u0435\u043a\u0442\u043e\u0440","submenu.array.matrix delimiters":"\u041c\u0430\u0442\u0440\u0438\u0447\u043d\u044b\u0435 \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u0438","menu.array.add row above":"\u0414\u043e\u0431\u0430\u0432\u0438\u0442\u044c \u0441\u0442\u0440\u043e\u043a\u0443 \u043f\u043e\u0441\u043b\u0435","menu.array.add row below":"\u0414\u043e\u0431\u0430\u0432\u0438\u0442\u044c \u0441\u0442\u0440\u043e\u043a\u0443 \u043f\u0435\u0440\u0435\u0434","menu.array.add column after":"\u0414\u043e\u0431\u0430\u0432\u0438\u0442\u044c \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043f\u043e\u0441\u043b\u0435","menu.array.add column before":"\u0414\u043e\u0431\u0430\u0432\u0438\u0442\u044c \u0441\u0442\u043e\u043b\u0431\u0435\u0446 \u043f\u0435\u0440\u0435\u0434","menu.array.delete row":"\u0423\u0434\u0430\u043b\u0438\u0442\u044c \u0441\u0442\u0440\u043e\u043a\u0443","menu.array.delete rows":"\u0423\u0434\u0430\u043b\u0438\u0442\u044c \u0432\u044b\u0431\u0440\u0430\u043d\u043d\u044b\u0435 \u0441\u0442\u0440\u043e\u043a\u0438","menu.array.delete column":"\u0423\u0434\u0430\u043b\u0438\u0442\u044c \u0441\u0442\u043e\u043b\u0431\u0435\u0446","menu.array.delete columns":"\u0423\u0434\u0430\u043b\u0438\u0442\u044c \u0432\u044b\u0431\u0440\u0430\u043d\u043d\u044b\u0435 \u0441\u0442\u043e\u043b\u0431\u0446\u044b","submenu.array.insert separator":"\u0412\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c","menu.insert table":"\u0412\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u0442\u0430\u0431\u043b\u0438\u0446\u0443","submenu.table style":"\u0422\u0430\u0431\u043b\u0438\u0447\u043d\u044b\u0439 \u0441\u0442\u0438\u043b\u044c"},sk:{"keyboard.tooltip.functions":"Functions","keyboard.tooltip.symbols":"Symboly","keyboard.tooltip.greek":"Gr\xe9cke listy","keyboard.tooltip.command":"Pr\xedkazov\xfd re\u017eim LaTeX","keyboard.tooltip.numeric":"Numerick\xe9","keyboard.tooltip.roman":"R\xedmske listy","tooltip.copy to clipboard":"Skop\xedrova\u0165 do schr\xe1nky","tooltip.redo":"Znova","tooltip.toggle virtual keyboard":"Prepn\xfa\u0165 virtu\xe1lnu kl\xe1vesnicu","tooltip.undo":"Vr\xe1tenie sp\xe4\u0165","menu.insert matrix":"Vlo\u017ete maticu","menu.insert vector":"Vlo\u017ete vektor","submenu.array.matrix delimiters":"Odde\u013eova\u010de mat\xedc","menu.array.add row above":"Pridajte riadok za","menu.array.add row below":"Pridajte riadok pred","menu.array.add column after":"Prida\u0165 st\u013apec za","menu.array.add column before":"Pridajte st\u013apec predt\xfdm","menu.array.delete row":"Odstr\xe1ni\u0165 riadok","menu.array.delete rows":"Odstr\xe1ni\u0165 vybrat\xe9 riadky","menu.array.delete column":"Odstr\xe1ni\u0165 st\u013apec","menu.array.delete columns":"Odstr\xe1ni\u0165 vybrat\xe9 st\u013apce","submenu.array.insert separator":"Vlo\u017ete odde\u013eova\u010d","menu.insert table":"Vlo\u017ete tabu\u013eku","submenu.table style":"\u0160t\xfdl tabu\u013eky"},sl:{"keyboard.tooltip.functions":"Funkcije","keyboard.tooltip.symbols":"Simboli","keyboard.tooltip.greek":"Gr\u0161ka pisma","keyboard.tooltip.command":"Ukazni na\u010din LaTeX","keyboard.tooltip.numeric":"\u0160tevilsko","keyboard.tooltip.roman":"Rimska pisma","tooltip.copy to clipboard":"Kopirati v odlo\u017ei\u0161\u010de","tooltip.redo":"Ponovi","tooltip.toggle virtual keyboard":"Preklop navidezne tipkovnice","tooltip.undo":"Razveljavi","menu.insert matrix":"Vstavi matrico","menu.insert vector":"Vstavi vektor","submenu.array.matrix delimiters":"Matri\u010dni lo\u010devalniki","menu.array.add row above":"Dodaj vrstico po","menu.array.add row below":"Dodaj vrstico prej","menu.array.add column after":"Dodaj stolpec po","menu.array.add column before":"Dodaj stolpec prej","menu.array.delete row":"Izbri\u0161i vrstico","menu.array.delete rows":"Izbri\u0161i izbrane vrstice","menu.array.delete column":"Izbri\u0161i stolpec","menu.array.delete columns":"Izbri\u0161i izbrane stolpce","submenu.array.insert separator":"Vstavi lo\u010dilo","menu.insert table":"Vstavi tabelo","submenu.table style":"Tabela slog"},sq:{"keyboard.tooltip.functions":"Funksione","keyboard.tooltip.symbols":"Simbolet","keyboard.tooltip.greek":"Letrat Greke","keyboard.tooltip.command":"Modaliteti i komand\xebs latex","keyboard.tooltip.numeric":"Numerike","keyboard.tooltip.roman":"Letrat romake","tooltip.copy to clipboard":"Kopjoni n\xeb Clipboard","tooltip.redo":"Riparo","tooltip.toggle virtual keyboard":"Aktivizo tastier\xebn virtuale","tooltip.undo":"Zhb\xebj","menu.insert matrix":"Vendosni Matric\xebn","menu.insert vector":"Vendos vektorin","submenu.array.matrix delimiters":"P\xebrcaktuesit e matric\xebs","menu.array.add row above":"Shto Rreshtin Pas","menu.array.add row below":"Shto Rreshtin Para","menu.array.add column after":"Shto kolon\xebn pas","menu.array.add column before":"Shto kolon\xebn para","menu.array.delete row":"Fshi Rreshtin","menu.array.delete rows":"Fshi rreshtat e zgjedhur","menu.array.delete column":"Fshi kolon\xebn","menu.array.delete columns":"Fshi kolonat e zgjedhura","submenu.array.insert separator":"Vendos Ndar\xebsin","menu.insert table":"Vendos tabel\xebn","submenu.table style":"Stili tabel\xebn"},sr:{"keyboard.tooltip.functions":"\u0424\u0443\u043d\u043a\u0446\u0438\u0458\u0435","keyboard.tooltip.symbols":"\u0421\u0438\u043c\u0431\u043e\u043b\u0438","keyboard.tooltip.greek":"\u0413\u0440\u0435\u0435\u043a \u041b\u0435\u0442\u0442\u0435\u0440\u0441","keyboard.tooltip.command":"\u041b\u0430\u0422\u0435\u041a\u0441 \u043a\u043e\u043c\u0430\u043d\u0434\u043d\u0438 \u0440\u0435\u0436\u0438\u043c","keyboard.tooltip.numeric":"\u041d\u0443\u043c\u0435\u0440\u0438\u0447\u043a\u0438","keyboard.tooltip.roman":"\u0420\u0438\u043c\u0441\u043a\u0430 \u043f\u0438\u0441\u043c\u0430","tooltip.copy to clipboard":"\u041a\u043e\u043f\u0438\u0440\u0430\u0458\u0442\u0435 \u0443 \u043c\u0435\u0452\u0443\u0441\u043f\u0440\u0435\u043c\u043d\u0438\u043a","tooltip.redo":"\u041f\u043e\u043d\u043e\u0432\u0438","tooltip.toggle virtual keyboard":"\u0423\u043a\u0459\u0443\u0447\u0438 / \u0438\u0441\u043a\u0459\u0443\u0447\u0438 \u0432\u0438\u0440\u0442\u0443\u0435\u043b\u043d\u0443 \u0442\u0430\u0441\u0442\u0430\u0442\u0443\u0440\u0443","tooltip.undo":"\u041e\u043f\u043e\u0437\u043e\u0432\u0438","menu.insert matrix":"\u0423\u043c\u0435\u0442\u043d\u0438 \u043c\u0430\u0442\u0440\u0438\u0446\u0443","menu.insert vector":"\u0423\u043c\u0435\u0442\u043d\u0438 \u0432\u0435\u043a\u0442\u043e\u0440","submenu.array.matrix delimiters":"\u041c\u0430\u0442\u0440\u0438\u043a \u0414\u0435\u043b\u0438\u043c\u0438\u0442\u0435\u0440\u0441","menu.array.add row above":"\u0414\u043e\u0434\u0430\u0458 \u0440\u0435\u0434 \u043f\u043e\u0441\u043b\u0435","menu.array.add row below":"\u0414\u043e\u0434\u0430\u0458 \u0440\u0435\u0434 \u043f\u0440\u0435","menu.array.add column after":"\u0414\u043e\u0434\u0430\u0458 \u043a\u043e\u043b\u043e\u043d\u0443 \u043f\u043e\u0441\u043b\u0435","menu.array.add column before":"\u0414\u043e\u0434\u0430\u0458 \u043a\u043e\u043b\u043e\u043d\u0443 \u043f\u0440\u0435","menu.array.delete row":"\u0418\u0437\u0431\u0440\u0438\u0448\u0438 \u0440\u0435\u0434","menu.array.delete rows":"\u0418\u0437\u0431\u0440\u0438\u0448\u0438 \u0438\u0437\u0430\u0431\u0440\u0430\u043d\u0435 \u0440\u0435\u0434\u043e\u0432\u0435","menu.array.delete column":"\u0418\u0437\u0431\u0440\u0438\u0448\u0438 \u043a\u043e\u043b\u043e\u043d\u0443","menu.array.delete columns":"\u0418\u0437\u0431\u0440\u0438\u0448\u0438 \u0438\u0437\u0430\u0431\u0440\u0430\u043d\u0435 \u043a\u043e\u043b\u043e\u043d\u0435","submenu.array.insert separator":"\u0423\u043c\u0435\u0442\u043d\u0438 \u0441\u0435\u043f\u0430\u0440\u0430\u0442\u043e\u0440","menu.insert table":"\u0423\u0431\u0430\u0446\u0438 \u0442\u0430\u0431\u0435\u043b\u0443","submenu.table style":"\u0422\u0430\u0431\u0435\u043b\u0430\u0440\u043d\u0438 \u0441\u0442\u0438\u043b"},sv:{"keyboard.tooltip.functions":"Funktioner","keyboard.tooltip.symbols":"Symboler","keyboard.tooltip.greek":"Grekiska bokst\xe4ver","keyboard.tooltip.command":"LaTeX kommandol\xe4ge","keyboard.tooltip.numeric":"Numerisk","keyboard.tooltip.roman":"Romerska bokst\xe4ver","tooltip.copy to clipboard":"Kopiera till Urklipp","tooltip.redo":"G\xf6ra om","tooltip.toggle virtual keyboard":"V\xe4xla virtuellt tangentbord","tooltip.undo":"\xc5ngra","menu.insert matrix":"S\xe4tt in matris","menu.insert vector":"Infoga vektor","submenu.array.matrix delimiters":"Matrisavgr\xe4nsare","menu.array.add row above":"L\xe4gg till rad efter","menu.array.add row below":"L\xe4gg till rad f\xf6re","menu.array.add column after":"L\xe4gg till kolumn efter","menu.array.add column before":"L\xe4gg till kolumn f\xf6re","menu.array.delete row":"Radera rad","menu.array.delete rows":"Ta bort valda rader","menu.array.delete column":"Ta bort kolumn","menu.array.delete columns":"Ta bort valda kolumner","submenu.array.insert separator":"S\xe4tt i separator","menu.insert table":"Infoga tabell","submenu.table style":"Tabellstil"},th:{"keyboard.tooltip.functions":"\u0e1f\u0e31\u0e07\u0e01\u0e4c\u0e0a\u0e31\u0e48\u0e19","keyboard.tooltip.symbols":"\u0e2a\u0e31\u0e0d\u0e25\u0e31\u0e01\u0e29\u0e13\u0e4c","keyboard.tooltip.greek":"\u0e2d\u0e31\u0e01\u0e29\u0e23\u0e01\u0e23\u0e35\u0e01","keyboard.tooltip.command":"\u0e42\u0e2b\u0e21\u0e14\u0e04\u0e33\u0e2a\u0e31\u0e48\u0e07 \u0e19\u0e49\u0e33\u0e22\u0e32\u0e07","keyboard.tooltip.numeric":"\u0e15\u0e31\u0e27\u0e40\u0e25\u0e02","keyboard.tooltip.roman":"\u0e2d\u0e31\u0e01\u0e29\u0e23\u0e42\u0e23\u0e21\u0e31\u0e19","tooltip.copy to clipboard":"\u0e04\u0e31\u0e14\u0e25\u0e2d\u0e01\u0e44\u0e1b\u0e17\u0e35\u0e48\u0e04\u0e25\u0e34\u0e1b\u0e1a\u0e2d\u0e23\u0e4c\u0e14","tooltip.redo":"\u0e17\u0e33\u0e0b\u0e49\u0e33","tooltip.toggle virtual keyboard":"\u0e2a\u0e25\u0e31\u0e1a\u0e41\u0e1b\u0e49\u0e19\u0e1e\u0e34\u0e21\u0e1e\u0e4c\u0e40\u0e2a\u0e21\u0e37\u0e2d\u0e19","tooltip.undo":"\u0e40\u0e25\u0e34\u0e01\u0e17\u0e33","menu.insert matrix":"\u0e41\u0e17\u0e23\u0e01\u0e40\u0e21\u0e17\u0e23\u0e34\u0e01\u0e0b\u0e4c","menu.insert vector":"\u0e41\u0e17\u0e23\u0e01\u0e40\u0e27\u0e01\u0e40\u0e15\u0e2d\u0e23\u0e4c","submenu.array.matrix delimiters":"\u0e15\u0e31\u0e27\u0e04\u0e31\u0e48\u0e19\u0e40\u0e21\u0e17\u0e23\u0e34\u0e01\u0e0b\u0e4c","menu.array.add row above":"\u0e40\u0e1e\u0e34\u0e48\u0e21\u0e41\u0e16\u0e27\u0e2b\u0e25\u0e31\u0e07","menu.array.add row below":"\u0e40\u0e1e\u0e34\u0e48\u0e21\u0e41\u0e16\u0e27\u0e01\u0e48\u0e2d\u0e19","menu.array.add column after":"\u0e40\u0e1e\u0e34\u0e48\u0e21\u0e04\u0e2d\u0e25\u0e31\u0e21\u0e19\u0e4c\u0e2b\u0e25\u0e31\u0e07","menu.array.add column before":"\u0e40\u0e1e\u0e34\u0e48\u0e21\u0e04\u0e2d\u0e25\u0e31\u0e21\u0e19\u0e4c\u0e01\u0e48\u0e2d\u0e19","menu.array.delete row":"\u0e25\u0e1a\u0e41\u0e16\u0e27","menu.array.delete rows":"\u0e25\u0e1a\u0e41\u0e16\u0e27\u0e17\u0e35\u0e48\u0e40\u0e25\u0e37\u0e2d\u0e01","menu.array.delete column":"\u0e25\u0e1a\u0e04\u0e2d\u0e25\u0e31\u0e21\u0e19\u0e4c","menu.array.delete columns":"\u0e25\u0e1a\u0e04\u0e2d\u0e25\u0e31\u0e21\u0e19\u0e4c\u0e17\u0e35\u0e48\u0e40\u0e25\u0e37\u0e2d\u0e01","submenu.array.insert separator":"\u0e15\u0e31\u0e27\u0e04\u0e31\u0e48\u0e19\u0e41\u0e17\u0e23\u0e01","menu.insert table":"\u0e41\u0e17\u0e23\u0e01\u0e15\u0e32\u0e23\u0e32\u0e07","submenu.table style":"\u0e2a\u0e44\u0e15\u0e25\u0e4c\u0e15\u0e32\u0e23\u0e32\u0e07"},tr:{"keyboard.tooltip.functions":"Fonksiyonlar","keyboard.tooltip.symbols":"Semboller","keyboard.tooltip.greek":"Yunan harfleri","keyboard.tooltip.command":"LaTeX Komut Modu","keyboard.tooltip.numeric":"Say\u0131sal","keyboard.tooltip.roman":"Roma Harfleri","tooltip.copy to clipboard":"Panoya kopyala","tooltip.redo":"Yeniden yap","tooltip.toggle virtual keyboard":"Sanal Klavyeyi A\xe7/Kapat","tooltip.undo":"Geri alma","menu.insert matrix":"Matris Ekle","menu.insert vector":"Vekt\xf6r Ekle","submenu.array.matrix delimiters":"Matris S\u0131n\u0131rlay\u0131c\u0131lar","menu.array.add row above":"Sat\u0131rdan Sonra Ekle","menu.array.add row below":"\xd6nce Sat\u0131r Ekle","menu.array.add column after":"Sonra S\xfctun Ekle","menu.array.add column before":"\xd6nce S\xfctun Ekle","menu.array.delete row":"S\u0131ray\u0131 sil","menu.array.delete rows":"Se\xe7ili Sat\u0131rlar\u0131 Sil","menu.array.delete column":"S\xfctunu Sil","menu.array.delete columns":"Se\xe7ili S\xfctunlar\u0131 Sil","submenu.array.insert separator":"Ay\u0131r\u0131c\u0131 Ekle","menu.insert table":"Tablo Ekle","submenu.table style":"Tablo Stili"},uk:{"keyboard.tooltip.functions":"\u0424\u0443\u043d\u043a\u0446\u0456\u0457","keyboard.tooltip.symbols":"\u0421\u0438\u043c\u0432\u043e\u043b\u0438","keyboard.tooltip.greek":"\u0413\u0440\u0435\u0446\u044c\u043a\u0456 \u043b\u0456\u0442\u0435\u0440\u0438","keyboard.tooltip.command":"\u041a\u043e\u043c\u0430\u043d\u0434\u043d\u0438\u0439 \u0440\u0435\u0436\u0438\u043c \u043b\u0430\u0442\u0435\u043a\u0441\u0443","keyboard.tooltip.numeric":"\u0427\u0438\u0441\u043b\u043e\u0432\u0438\u0439","keyboard.tooltip.roman":"\u0420\u0438\u043c\u0441\u044c\u043a\u0456 \u043b\u0456\u0442\u0435\u0440\u0438","tooltip.copy to clipboard":"\u041a\u043e\u043f\u0456\u044e\u0432\u0430\u0442\u0438 \u0432 \u0431\u0443\u0444\u0435\u0440 \u043e\u0431\u043c\u0456\u043d\u0443","tooltip.redo":"\u041f\u043e\u0432\u0442\u043e\u0440\u0438\u0442\u0438","tooltip.toggle virtual keyboard":"\u041f\u0435\u0440\u0435\u043a\u043b\u044e\u0447\u0438\u0442\u0438 \u0432\u0456\u0440\u0442\u0443\u0430\u043b\u044c\u043d\u0443 \u043a\u043b\u0430\u0432\u0456\u0430\u0442\u0443\u0440\u0443","tooltip.undo":"\u0421\u043a\u0430\u0441\u0443\u0432\u0430\u0442\u0438","menu.insert matrix":"\u0412\u0441\u0442\u0430\u0432\u0438\u0442\u0438 \u043c\u0430\u0442\u0440\u0438\u0446\u044e","menu.insert vector":"\u0412\u0441\u0442\u0430\u0432\u0438\u0442\u0438 \u0432\u0435\u043a\u0442\u043e\u0440","submenu.array.matrix delimiters":"\u041c\u0430\u0442\u0440\u0438\u0447\u043d\u0456 \u0440\u043e\u0437\u0434\u0456\u043b\u044c\u043d\u0438\u043a\u0438","menu.array.add row above":"\u0414\u043e\u0434\u0430\u0442\u0438 \u0440\u044f\u0434\u043e\u043a \u043f\u0456\u0441\u043b\u044f","menu.array.add row below":"\u0414\u043e\u0434\u0430\u0442\u0438 \u0440\u044f\u0434\u043e\u043a \u0434\u043e","menu.array.add column after":"\u0414\u043e\u0434\u0430\u0442\u0438 \u0441\u0442\u043e\u0432\u043f\u0435\u0446\u044c \u043f\u0456\u0441\u043b\u044f","menu.array.add column before":"\u0414\u043e\u0434\u0430\u0442\u0438 \u0441\u0442\u043e\u0432\u043f\u0435\u0446\u044c \u043f\u0435\u0440\u0435\u0434","menu.array.delete row":"\u0412\u0438\u0434\u0430\u043b\u0438\u0442\u0438 \u0440\u044f\u0434\u043e\u043a","menu.array.delete rows":"\u0412\u0438\u0434\u0430\u043b\u0438\u0442\u0438 \u0432\u0438\u0431\u0440\u0430\u043d\u0456 \u0440\u044f\u0434\u043a\u0438","menu.array.delete column":"\u0412\u0438\u0434\u0430\u043b\u0438\u0442\u0438 \u0441\u0442\u043e\u0432\u043f\u0435\u0446\u044c","menu.array.delete columns":"\u0412\u0438\u0434\u0430\u043b\u0438\u0442\u0438 \u0432\u0438\u0431\u0440\u0430\u043d\u0456 \u0441\u0442\u043e\u0432\u043f\u0446\u0456","submenu.array.insert separator":"\u0412\u0441\u0442\u0430\u0432\u0442\u0435 \u0440\u043e\u0437\u0434\u0456\u043b\u044c\u043d\u0438\u043a","menu.insert table":"\u0412\u0441\u0442\u0430\u0432\u0438\u0442\u0438 \u0442\u0430\u0431\u043b\u0438\u0446\u044e","submenu.table style":"\u0421\u0442\u0438\u043b\u044c \u0442\u0430\u0431\u043b\u0438\u0446\u0456"},vi:{"keyboard.tooltip.functions":"Ch\u1ee9c n\u0103ng","keyboard.tooltip.symbols":"K\xfd hi\u1ec7u","keyboard.tooltip.greek":"Ch\u1eef Hy L\u1ea1p","keyboard.tooltip.command":"Ch\u1ebf \u0111\u1ed9 l\u1ec7nh LaTeX","keyboard.tooltip.numeric":"S\u1ed1","keyboard.tooltip.roman":"Ch\u1eef c\xe1i La m\xe3","tooltip.copy to clipboard":"Sao ch\xe9p v\xe0o clipboard","tooltip.redo":"L\xe0m l\u1ea1i","tooltip.toggle virtual keyboard":"Chuy\u1ec3n \u0111\u1ed5i b\xe0n ph\xedm \u1ea3o","tooltip.undo":"Ho\xe0n t\xe1c","menu.insert matrix":"Ch\xe8n ma tr\u1eadn","menu.insert vector":"Insert Vector","submenu.array.matrix delimiters":"D\u1ea5u ph\xe2n c\xe1ch ma tr\u1eadn","menu.array.add row above":"Th\xeam h\xe0ng sau","menu.array.add row below":"Th\xeam h\xe0ng tr\u01b0\u1edbc","menu.array.add column after":"Th\xeam c\u1ed9t sau","menu.array.add column before":"Th\xeam c\u1ed9t tr\u01b0\u1edbc","menu.array.delete row":"X\xf3a h\xe0ng","menu.array.delete rows":"X\xf3a h\xe0ng \u0111\xe3 ch\u1ecdn","menu.array.delete column":"X\xf3a c\u1ed9t","menu.array.delete columns":"X\xf3a c\xe1c c\u1ed9t \u0111\xe3 ch\u1ecdn","submenu.array.insert separator":"Ch\xe8n d\u1ea5u ph\xe2n c\xe1ch","menu.insert table":"Ch\xe8n b\u1ea3ng","submenu.table style":"Ki\u1ec3u b\u1ea3ng"},zh_cn:{"keyboard.tooltip.functions":"\u804c\u80fd","keyboard.tooltip.symbols":"\u7b26\u53f7","keyboard.tooltip.greek":"\u5e0c\u814a\u5b57\u6bcd","keyboard.tooltip.command":"\u4e73\u80f6 \u547d\u4ee4\u6a21\u5f0f","keyboard.tooltip.numeric":"\u6570\u5b57","keyboard.tooltip.roman":"\u7f57\u9a6c\u5b57\u6bcd","tooltip.copy to clipboard":"\u590d\u5236\u5230\u526a\u8d34\u677f","tooltip.redo":"\u91cd\u505a","tooltip.toggle virtual keyboard":"\u5207\u6362\u865a\u62df\u952e\u76d8","tooltip.undo":"\u64a4\u6d88","menu.insert matrix":"\u63d2\u5165\u77e9\u9635","menu.insert vector":"\u63d2\u5165\u5411\u91cf","submenu.array.matrix delimiters":"\u77e9\u9635\u5206\u9694\u7b26","menu.array.add row above":"\u5728\u540e\u9762\u6dfb\u52a0\u884c","menu.array.add row below":"\u5728\u524d\u9762\u6dfb\u52a0\u884c","menu.array.add column after":"\u5728\u540e\u9762\u6dfb\u52a0\u5217r","menu.array.add column before":"\u5728\u524d\u9762\u6dfb\u52a0\u5217","menu.array.delete row":"\u5220\u9664\u884c","menu.array.delete rows":"\u5220\u9664\u9009\u5b9a\u884c","menu.array.delete column":"\u5220\u9664\u5217","menu.array.delete columns":"\u5220\u9664\u9009\u5b9a\u7684\u5217","submenu.array.insert separator":"\u63d2\u5165\u5206\u9694\u7b26","menu.insert table":"\u63d2\u5165\u8868\u683c","submenu.table style":"\u8868\u683c\u6837\u5f0f"},zh_tw:{"keyboard.tooltip.functions":"\u8077\u80fd","keyboard.tooltip.symbols":"\u7b26\u865f","keyboard.tooltip.greek":"\u5e0c\u81d8\u5b57\u6bcd","keyboard.tooltip.command":"\u4e73\u81a0\u547d\u4ee4\u6a21\u5f0f","keyboard.tooltip.numeric":"\u6578\u5b57","keyboard.tooltip.roman":"\u7f85\u99ac\u5b57\u6bcd","tooltip.copy to clipboard":"\u8907\u88fd\u5230\u526a\u8cbc\u677f","tooltip.redo":"\u91cd\u505a","tooltip.toggle virtual keyboard":"\u5207\u63db\u865b\u64ec\u9375\u76e4","tooltip.undo":"\u64a4\u6d88","menu.insert matrix":"\u63d2\u5165\u77e9\u9663","menu.insert vector":"\u63d2\u5165\u5411\u91cf","submenu.array.matrix delimiters":"\u77e9\u9663\u5206\u9694\u7b26","menu.array.add row above":"\u5728\u5f8c\u9762\u6dfb\u52a0\u884c","menu.array.add row below":"\u5728\u524d\u9762\u6dfb\u52a0\u884c","menu.array.add column after":"\u5728\u5f8c\u9762\u6dfb\u52a0\u5217","menu.array.add column before":"\u5728\u524d\u9762\u6dfb\u52a0\u5217","menu.array.delete row":"\u522a\u9664\u884c","menu.array.delete rows":"\u522a\u9664\u9078\u5b9a\u884c","menu.array.delete column":"\u522a\u9664\u5217","menu.array.delete columns":"\u522a\u9664\u9078\u5b9a\u7684\u5217","submenu.array.insert separator":"\u63d2\u5165\u5206\u9694\u7b26","menu.insert table":"\u63d2\u5165\u8868\u683c","submenu.table style":"\u8868\u683c\u6a23\u5f0f"}},_locale:"",get locale(){return l._locale||(l._locale=a()?navigator.language.slice(0,5):"en"),l._locale},set locale(e){l._locale=e},merge(e,t){if(e&&t){const a=l._locale;l.locale=e,l.strings[e]={...l.strings[e],...t},l.locale=a}else if(e&&!t)for(const t of Object.keys(e))l.merge(t,e[t])}};function d(e){if(void 0===e)return;const t=l.locale.slice(0,2);let a="";return l.strings[l.locale]&&(a=l.strings[l.locale][e]),!a&&l.strings[t]&&(a=l.strings[t][e]),a||(a=l.strings.en[e]),a||void 0}const c={m0:"#3F3D99",m1:"#993D71",m2:"#998B3D",m3:"#3D9956",m4:"#3D5A99",m5:"#993D90",m6:"#996D3D",m7:"#43993D",m8:"#3D7999",m9:"#843D99"},u={blue:"#0072BD",orange:"#D95319",yellow:"#EDB120",purple:"#7E2F8E",green:"#77AC30",cyan:"#4DBEEE",red:"#A2142F"},p={red:"#fbbbb6",orange:"#ffe0c2",yellow:"#fff1c2",lime:"#d0e8b9",green:"#bceac4",teal:"#b9f1f1",blue:"#b6d9fb",indigo:"#d1c2f0",purple:"#e3baf8",magenta:"#f9c8e0",black:"#353535","dark-grey":"#8C8C8C",grey:"#D0D0D0","light-grey":"#F0F0F0",white:"#ffffff"},h={red:"#d7170b",orange:"#fe8a2b",yellow:"#ffc02b",lime:"#63b215",green:"#21ba3a",teal:"#17cfcf",blue:"#0d80f2",indigo:"#63c",purple:"#a219e6",magenta:"#eb4799",black:"#000","dark-grey":"#666",grey:"#A6A6A6","light-grey":"#d4d5d2",white:"#ffffff"},m={Red:"red",Orange:"orange",Yellow:"yellow",LimeGreen:"lime",Green:"green",TealBlue:"teal",Blue:"blue",Violet:"indigo",Purple:"purple",Magenta:"magenta",Black:"black",Gray:"grey",White:"white"},f={Apricot:"#FBB982",Aquamarine:"#00B5BE",Bittersweet:"#C04F17",Black:"#221E1F",Blue:"#2D2F92",BlueGreen:"#00B3B8",BlueViolet:"#473992",BrickRed:"#B6321C",Brown:"#792500",BurntOrange:"#F7921D",CadetBlue:"#74729A",CarnationPink:"#F282B4",Cerulean:"#00A2E3",CornflowerBlue:"#41B0E4",Cyan:"#00AEEF",Dandelion:"#FDBC42",DarkOrchid:"#A4538A",Emerald:"#00A99D",ForestGreen:"#009B55",Fuchsia:"#8C368C",Goldenrod:"#FFDF42",Gray:"#949698",Green:"#00A64F",GreenYellow:"#DFE674",JungleGreen:"#00A99A",Lavender:"#F49EC4",Limegreen:"#8DC73E",Magenta:"#EC008C",Mahogany:"#A9341F",Maroon:"#AF3235",Melon:"#F89E7B",MidnightBlue:"#006795",Mulberry:"#A93C93",NavyBlue:"#006EB8",OliveGreen:"#3C8031",Orange:"#F58137",OrangeRed:"#ED135A",Orchid:"#AF72B0",Peach:"#F7965A",Periwinkle:"#7977B8",PineGreen:"#008B72",Plum:"#92268F",ProcessBlue:"#00B0F0",Purple:"#99479B",RawSienna:"#974006",Red:"#ED1B23",RedOrange:"#F26035",RedViolet:"#A1246B",Rhodamine:"#EF559F",RoyalBlue:"#0071BC",RoyalPurple:"#613F99",RubineRed:"#ED017D",Salmon:"#F69289",SeaGreen:"#3FBC9D",Sepia:"#671800",SkyBlue:"#46C5DD",SpringGreen:"#C6DC67",Tan:"#DA9D76",TealBlue:"#00AEB3",Thistle:"#D883B7",Turquoise:"#00B4CE",Violet:"#58429B",VioletRed:"#EF58A0",White:"#FFFFFF",WildStrawberry:"#EE2967",Yellow:"#FFF200",YellowGreen:"#98CC70",YellowOrange:"#FAA21A"};function y(e){var t,a,i,o,r,n;const s=e.split("!");let l,d,p,y=255,b=255,g=255,v=-1;const k=s.length>0&&s[0].startsWith("-");k&&(s[0]=s[0].slice(1));for(let e=0;e<s.length;e++){l=y,d=b,p=g;const k=null===(t=s[e].trim().match(/^([A-Za-z\d]+)/))||void 0===t?void 0:t[1],x=null==k?void 0:k.toLowerCase(),w=k&&null!==(n=null!==(r=null!==(o=null!==(i=null!==(a=h[x])&&void 0!==a?a:h[m[k]])&&void 0!==i?i:u[k])&&void 0!==o?o:f[k])&&void 0!==r?r:c[k])&&void 0!==n?n:s[e].trim();let _=w.match(/^#([\da-f]{2})([\da-f]{2})([\da-f]{2})$/i);if((null==_?void 0:_[1])&&_[2]&&_[3])y=Math.max(0,Math.min(255,Number.parseInt(_[1],16))),b=Math.max(0,Math.min(255,Number.parseInt(_[2],16))),g=Math.max(0,Math.min(255,Number.parseInt(_[3],16)));else if(_=w.match(/^#([\da-f]{3})$/i),null==_?void 0:_[1]){const e=Number.parseInt(_[1][0],16),t=Number.parseInt(_[1][1],16),a=Number.parseInt(_[1][2],16);y=Math.max(0,Math.min(255,16*e+e)),b=Math.max(0,Math.min(255,16*t+t)),g=Math.max(0,Math.min(255,16*a+a))}else{if(_=w.match(/^rgb\s*\(\s*(\d+)\s*,\s*(\d+)\s*,\s*(\d+)\s*\)$/i),!((null==_?void 0:_[1])&&_[2]&&_[3]))return;y=Math.max(0,Math.min(255,Number.parseInt(_[1]))),b=Math.max(0,Math.min(255,Number.parseInt(_[2]))),g=Math.max(0,Math.min(255,Number.parseInt(_[3])))}v>=0&&(y=(1-v)*y+v*l,b=(1-v)*b+v*d,g=(1-v)*g+v*p,v=-1),e+1<s.length&&(v=Math.max(0,Math.min(100,Number.parseInt(s[++e])))/100)}return v>=0&&(y=v*y+(1-v)*l,b=v*b+(1-v)*d,g=v*g+(1-v)*p),k&&(y=255-y,b=255-b,g=255-g),"#"+("00"+Math.round(y).toString(16)).slice(-2)+("00"+Math.round(b).toString(16)).slice(-2)+("00"+Math.round(g).toString(16)).slice(-2)}function b(e){var t,a;return e=e.trim(),null!==(a=null!==(t=p[e.toLowerCase()])&&void 0!==t?t:p[m[e]])&&void 0!==a?a:y(e)}function g(e,t,a){return a<0&&(a+=6),a>=6&&(a-=6),a<1?(t-e)*a+e:a<3?t:a<4?(t-e)*(4-a)+e:e}function v(e){return e<0?0:e>255?255:Math.round(e)}function k(e){let t=function(e){if(!e)return;if("#"!==e[0])return;let t;return(e=e.slice(1)).length<=4?(t={r:parseInt(e[0]+e[0],16),g:parseInt(e[1]+e[1],16),b:parseInt(e[2]+e[2],16)},4===e.length&&(t.a=parseInt(e[3]+e[3],16)/255)):(t={r:parseInt(e[0]+e[1],16),g:parseInt(e[2]+e[3],16),b:parseInt(e[4]+e[5],16)},8===e.length&&(t.a=parseInt(e[6]+e[7],16)/255)),t&&void 0===t.a&&(t.a=1),t}(e);if(!t)return e;let{h:a,s:i,l:o}=function(e){let{r:t,g:a,b:i}=e;t/=255,a/=255,i/=255;const o=Math.min(t,a,i),r=Math.max(t,a,i),n=r-o;let s,l;r===o?s=0:t===r?s=(a-i)/n:a===r?s=2+(i-t)/n:i===r&&(s=4+(t-a)/n),s=Math.min(60*s,360),s<0&&(s+=360);const d=(o+r)/2;return l=r===o?0:d<=.5?n/(r+o):n/(2-r-o),{h:s,s:l,l:d}}(t);return i+=.1,o-=.1,function(e){const{r:t,g:a,b:i}=e;let o=((1<<24)+(v(t)<<16)+(v(a)<<8)+v(i)).toString(16).slice(1);return o[0]===o[1]&&o[2]===o[3]&&o[4]===o[5]&&o[6]===o[7]&&(o=o[0]+o[2]+o[4]),"#"+o}(function(e){let[t,a,i]=[e.h,e.s,e.l];t=(t+360)%360/60,i=Math.max(0,Math.min(i,1)),a=Math.max(0,Math.min(a,1));const o=i<=.5?i*(a+1):i+a-i*a,r=2*i-o;return{r:Math.round(255*g(r,o,t+2)),g:Math.round(255*g(r,o,t)),b:Math.round(255*g(r,o,t-2))}}({h:a,s:i,l:o}))}const x={},w={60:"\\lt",62:"\\gt",111:"o",38:"\\&",123:"\\lbrace",125:"\\rbrace",91:"\\lbrack",93:"\\rbrack",58:"\\colon",160:"~",172:"\\neg",183:"\\cdot",188:"\\frac{1}{4}",189:"\\frac{1}{2}",190:"\\frac{3}{4}",8304:"^{0}",8305:"^{i}",185:"^{1}",178:"^{2}",179:"^{3}",8224:"\\dagger",8225:"\\ddagger",8230:"\\ldots",8308:"^{4}",8309:"^{5}",8310:"^{6}",8311:"^{7}",8312:"^{8}",8313:"^{9}",8314:"^{+}",8315:"^{-}",8316:"^{=}",8319:"^{n}",8320:"_{0}",8321:"_{1}",8322:"_{2}",8323:"_{3}",8324:"_{4}",8325:"_{5}",8326:"_{6}",8327:"_{7}",8328:"_{8}",8329:"_{9}",8330:"_{+}",8331:"_{-}",8332:"_{=}",8336:"_{a}",8337:"_{e}",8338:"_{o}",8339:"_{x}",8242:"\\prime",39:"\\prime",8592:"\\gets",8594:"\\to",9651:"\\triangle",9661:"\\triangledown",8715:"\\owns",8727:"\\ast",8739:"\\vert",8741:"\\Vert",8743:"\\land",8744:"\\lor",8901:"\\cdot",8904:"\\bowtie",8800:"\\ne",8804:"\\le",8805:"\\ge",8869:"\\bot",10231:"\\biconditional",10232:"\\impliedby",10233:"\\implies",10234:"\\iff",8450:"\\mathbb{C}",8469:"\\mathbb{N}",8473:"\\mathbb{P}",8474:"\\mathbb{Q}",8477:"\\mathbb{R}",8484:"\\mathbb{Z}",8461:"\\mathbb{H}",8476:"\\Re",8465:"\\Im",42:"\\ast",11036:"\\square",9633:"\\square",8720:"\\coprod",8716:"\\not\\ni",9671:"\\diamond",8846:"\\uplus",8851:"\\sqcap",8852:"\\sqcup",8768:"\\wr",8750:"\\oint",8226:"\\textbullet",8722:"-",978:"\\Upsilon"},_={},S={},M={iff:"\\;\u27fa\\;",nicefrac:"^{#1}\\!\\!/\\!_{#2}",rd:"\\mathrm{d}",rD:"\\mathrm{D}",doubleStruckCapitalN:"\\mathbb{N}",doubleStruckCapitalR:"\\mathbb{R}",doubleStruckCapitalQ:"\\mathbb{Q}",doubleStruckCapitalZ:"\\mathbb{Z}",doubleStruckCapitalP:"\\mathbb{P}",scriptCapitalE:"\\mathscr{E}",scriptCapitalH:"\\mathscr{H}",scriptCapitalL:"\\mathscr{L}",gothicCapitalC:"\\mathfrak{C}",gothicCapitalH:"\\mathfrak{H}",gothicCapitalI:"\\mathfrak{I}",gothicCapitalR:"\\mathfrak{R}",imaginaryI:"\\mathrm{i}",imaginaryJ:"\\mathrm{j}",exponentialE:"\\mathrm{e}",differentialD:"\\mathrm{d}",capitalDifferentialD:"\\mathrm{D}","braket.sty":{package:{bra:"\\mathinner{\\langle{#1}|}",ket:"\\mathinner{|{#1}\\rangle}",braket:"\\mathinner{\\langle{#1}\\rangle}",set:"\\mathinner{\\lbrace #1 \\rbrace}",Bra:"\\left\\langle #1\\right|",Ket:"\\left|#1\\right\\rangle",Braket:"\\left\\langle{#1}\\right\\rangle",Set:"\\left\\lbrace #1 \\right\\rbrace"}},"amsmath.sty":{package:{varGamma:"\\mathit{\\Gamma}",varDelta:"\\mathit{\\Delta}",varTheta:"\\mathit{\\Theta}",varLambda:"\\mathit{\\Lambda}",varXi:"\\mathit{\\Xi}",varPi:"\\mathit{\\Pi}",varSigma:"\\mathit{\\Sigma}",varUpsilon:"\\mathit{\\Upsilon}",varPhi:"\\mathit{\\Phi}",varPsi:"\\mathit{\\Psi}",varOmega:"\\mathit{\\Omega}",pmod:{def:"\\quad(\\operatorname{mod}\\ #1)",args:1,expand:!1},mod:{def:"\\quad\\operatorname{mod}\\,\\,#1",args:1,expand:!1},bmod:{def:"\\;\\mathbin{\\operatorname{mod }}",expand:!1}},expand:!1},"texvc.sty":{package:{darr:"\\downarrow",dArr:"\\Downarrow",Darr:"\\Downarrow",lang:"\\langle",rang:"\\rangle",uarr:"\\uparrow",uArr:"\\Uparrow",Uarr:"\\Uparrow",N:"\\mathbb{N}",R:"\\mathbb{R}",Z:"\\mathbb{Z}",alef:"\\aleph",alefsym:"\\aleph",Alpha:"\\mathrm{A}",Beta:"\\mathrm{B}",bull:"\\bullet",Chi:"\\mathrm{X}",clubs:"\\clubsuit",cnums:"\\mathbb{C}",Complex:"\\mathbb{C}",Dagger:"\\ddagger",diamonds:"\\diamondsuit",empty:"\\emptyset",Epsilon:"\\mathrm{E}",Eta:"\\mathrm{H}",exist:"\\exists",harr:"\\leftrightarrow",hArr:"\\Leftrightarrow",Harr:"\\Leftrightarrow",hearts:"\\heartsuit",image:"\\Im",infin:"\\infty",Iota:"\\mathrm{I}",isin:"\\in",Kappa:"\\mathrm{K}",larr:"\\leftarrow",lArr:"\\Leftarrow",Larr:"\\Leftarrow",lrarr:"\\leftrightarrow",lrArr:"\\Leftrightarrow",Lrarr:"\\Leftrightarrow",Mu:"\\mathrm{M}",natnums:"\\mathbb{N}",Nu:"\\mathrm{N}",Omicron:"\\mathrm{O}",plusmn:"\\pm",rarr:"\\rightarrow",rArr:"\\Rightarrow",Rarr:"\\Rightarrow",real:"\\Re",reals:"\\mathbb{R}",Reals:"\\mathbb{R}",Rho:"\\mathrm{P}",sdot:"\\cdot",sect:"\\S",spades:"\\spadesuit",sub:"\\subset",sube:"\\subseteq",supe:"\\supseteq",Tau:"\\mathrm{T}",thetasym:"\\vartheta",weierp:"\\wp",Zeta:"\\mathrm{Z}"},expand:!1}},L={" ":32,"\\#":35,"\\&":38,"\\$":36,"\\%":37,"\\_":95,"\\euro":8364,"\\maltese":10016,"\\{":123,"\\}":125,"\\nobreakspace":160,"\\ldots":8230,"\\textellipsis":8230,"\\backslash":92,"`":8216,"'":8217,"``":8220,"''":8221,"\\degree":176,"\\textasciicircum":94,"\\textasciitilde":126,"\\textasteriskcentered":42,"\\textbackslash":92,"\\textbraceleft":123,"\\textbraceright":125,"\\textbullet":8226,"\\textdollar":36,"\\textsterling":163,"\\textdagger":8224,"\\textdaggerdbl":8225,"\u2013":8211,"\u2014":8212,"\u2018":8216,"\u2019":8217,"\u201c":8220,"\u201d":8221,'"':8221,"\\ss":223,"\\ae":230,"\\oe":339,"\\AE":198,"\\OE":338,"\\O":216,"\\i":305,"\\j":567,"\\aa":229,"\\AA":197},C=/[\w!@*()-=+{}[\]\\';:?/.,~<>`|$%#&^" ]/,A=s()?new RegExp("\\p{Letter}","u"):/[a-zA-Z\u0430\u0410\u0431\u0411\u0432\u0412\u0433\u0413\u0434\u0414\u0435\u0415\u0451\u0401\u0436\u0416\u0437\u0417\u0438\u0418\u0439\u0419\u043a\u041a\u043b\u041b\u043c\u041c\u043d\u041d\u043e\u041e\u043f\u041f\u0440\u0420\u0441\u0421\u0442\u0422\u0443\u0423\u0444\u0424\u0445\u0425\u0446\u0426\u0447\u0427\u0448\u0428\u0449\u0429\u044a\u042a\u044b\u042b\u044c\u042c\u044d\u042d\u044e\u042e\u044f\u0104\u0105\u0106\u0107\u0118\u0119\u0141\u0142\u0143\u0144\xd3\xf3\u015a\u015b\u0179\u017a\u017b\u017c\xe0\xe2\xe4\xf4\xe9\xe8\xeb\xea\xef\xee\xe7\xf9\xfb\xfc\xff\xe6\u0153\xc0\xc2\xc4\xd4\xc9\xc8\xcb\xca\xcf\xce\u0178\xc7\xd9\xdb\xdc\xc6\u0152\xf6\xdf\xd6\u1e9e\xec\xed\xf2\xfa\xcc\xcd\xd2\xda\xe1\xf1\xc1\xd1]/,T=s()?new RegExp("[0-9\\p{Letter}]","u"):/[\da-zA-Z\u0430\u0410\u0431\u0411\u0432\u0412\u0433\u0413\u0434\u0414\u0435\u0415\u0451\u0401\u0436\u0416\u0437\u0417\u0438\u0418\u0439\u0419\u043a\u041a\u043b\u041b\u043c\u041c\u043d\u041d\u043e\u041e\u043f\u041f\u0440\u0420\u0441\u0421\u0442\u0422\u0443\u0423\u0444\u0424\u0445\u0425\u0446\u0426\u0447\u0427\u0448\u0428\u0449\u0429\u044a\u042a\u044b\u042b\u044c\u042c\u044d\u042d\u044e\u042e\u044f\u0104\u0105\u0106\u0107\u0118\u0119\u0141\u0142\u0143\u0144\xd3\xf3\u015a\u015b\u0179\u017a\u017b\u017c\xe0\xe2\xe4\xf4\xe9\xe8\xeb\xea\xef\xee\xe7\xf9\xfb\xfc\xff\xe6\u0153\xc0\xc2\xc4\xd4\xc9\xc8\xcb\xca\xcf\xce\u0178\xc7\xd9\xdb\xdc\xc6\u0152\xf6\xdf\xd6\u1e9e\xec\xed\xf2\xfa\xcc\xcd\xd2\xda\xe1\xf1\xc1\xd1]/;function D(e,t,a="mord",i){void 0!==t&&(x[e]={definitionType:"symbol",type:a,variant:i,codepoint:t},w[t]||(w[t]=e),L[e]||(L[e]=t))}function z(e,t,a){if("string"!=typeof e)for(const[i,o,r,n]of e)D(i,o,null!=r?r:t,null!=n?n:a);else for(let t=0;t<e.length;t++){const a=e.charAt(t);D(a,a.codePointAt(0))}}function B(e,t){for(let a=e;a<=t;a++)D(String.fromCodePoint(a),a)}function K(e,t){if(void 0===t)return"";if("math"===e&&w[t])return w[t];if("text"===e){let e=Object.keys(L).find((e=>L[e]===t));if(!e){const a=t.toString(16);e="^".repeat(a.length)+a}return e}return String.fromCodePoint(t)}const E={119893:8462,119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500,120070:8493,120075:8460,120076:8465,120085:8476,120093:8488,120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484},q=[{start:119808,len:26,offset:65,style:"bold"},{start:119834,len:26,offset:97,style:"bold"},{start:119860,len:26,offset:65,style:"italic"},{start:119886,len:26,offset:97,style:"italic"},{start:119912,len:26,offset:65,style:"bolditalic"},{start:119938,len:26,offset:97,style:"bolditalic"},{start:119964,len:26,offset:65,variant:"script"},{start:119990,len:26,offset:97,variant:"script"},{start:120016,len:26,offset:65,variant:"script",style:"bold"},{start:120042,len:26,offset:97,variant:"script",style:"bold"},{start:120068,len:26,offset:65,variant:"fraktur"},{start:120094,len:26,offset:97,variant:"fraktur"},{start:120172,len:26,offset:65,variant:"fraktur",style:"bold"},{start:120198,len:26,offset:97,variant:"fraktur",style:"bold"},{start:120120,len:26,offset:65,variant:"double-struck"},{start:120146,len:26,offset:97,variant:"double-struck"},{start:120224,len:26,offset:65,variant:"sans-serif"},{start:120250,len:26,offset:97,variant:"sans-serif"},{start:120276,len:26,offset:65,variant:"sans-serif",style:"bold"},{start:120302,len:26,offset:97,variant:"sans-serif",style:"bold"},{start:120328,len:26,offset:65,variant:"sans-serif",style:"italic"},{start:120354,len:26,offset:97,variant:"sans-serif",style:"italic"},{start:120380,len:26,offset:65,variant:"sans-serif",style:"bolditalic"},{start:120406,len:26,offset:97,variant:"sans-serif",style:"bolditalic"},{start:120432,len:26,offset:65,variant:"monospace"},{start:120458,len:26,offset:97,variant:"monospace"},{start:120488,len:25,offset:913,style:"bold"},{start:120514,len:25,offset:945,style:"bold"},{start:120546,len:25,offset:913,style:"italic"},{start:120572,len:25,offset:945,style:"italic"},{start:120604,len:25,offset:913,style:"bolditalic"},{start:120630,len:25,offset:945,style:"bolditalic"},{start:120662,len:25,offset:913,variant:"sans-serif",style:"bold"},{start:120688,len:25,offset:945,variant:"sans-serif",style:"bold"},{start:120720,len:25,offset:913,variant:"sans-serif",style:"bolditalic"},{start:120746,len:25,offset:945,variant:"sans-serif",style:"bolditalic"},{start:120782,len:10,offset:48,variant:"main",style:"bold"},{start:120792,len:10,offset:48,variant:"double-struck"},{start:120803,len:10,offset:48,variant:"sans-serif"},{start:120812,len:10,offset:48,variant:"sans-serif",style:"bold"},{start:120822,len:10,offset:48,variant:"monospace"}];function $(e){let t="auto";const a=e.match(/:([^=]+)/);return a&&(t=a[1].trim()),t}function O(e){if(!e)return[];const t=[];let a=e.split("]");if(a[0].startsWith("[")){t.push({isOptional:!0,type:$(a[0].slice(1))});for(let e=1;e<=a.length;e++)t.push(...O(a[e]))}else if(a=e.split("}"),a[0].startsWith("{")){t.push({isOptional:!1,type:$(a[0].slice(1))});for(let e=1;e<=a.length;e++)t.push(...O(a[e]))}return t}function N(e){if(!e)return"";let t="",a=!0;for(const i of e)"string"==typeof i.value?t+=i.value:a=!1;return a?t:""}function F(e,t,a,i=!1){"string"==typeof e&&(e=[e]);const o={tabular:i,params:O(t),createAtom:a};for(const t of e)S[t]=o}function P(e,t,a){F(e,t,a,!0)}function R(e,t,a){var i,o;a||(a={});const r={definitionType:"function",params:O(t),ifMode:a.ifMode,isFunction:null!==(i=a.isFunction)&&void 0!==i&&i,applyMode:a.applyMode,infix:null!==(o=a.infix)&&void 0!==o&&o,createAtom:a.createAtom,applyStyle:a.applyStyle};if("string"==typeof e)_["\\"+e]=r;else for(const t of e)_["\\"+t]=r}let I;function V(e){return I||(I=j(M)),e?j({...I,...e}):I}function H(e,t){var a,i,o,r;if("string"==typeof e){let o=0;const r=e;return/(^|[^\\])#1/.test(r)&&(o=1),/(^|[^\\])#2/.test(r)&&(o=2),/(^|[^\\])#3/.test(r)&&(o=3),/(^|[^\\])#4/.test(r)&&(o=4),/(^|[^\\])#5/.test(r)&&(o=5),/(^|[^\\])#6/.test(r)&&(o=6),/(^|[^\\])#7/.test(r)&&(o=7),/(^|[^\\])#8/.test(r)&&(o=8),/(^|[^\\])#9/.test(r)&&(o=9),{expand:null===(a=null==t?void 0:t.expand)||void 0===a||a,captureSelection:null===(i=null==t?void 0:t.captureSelection)||void 0===i||i,args:o,def:r}}return{expand:null===(o=null==t?void 0:t.expand)||void 0===o||o,captureSelection:null===(r=null==t?void 0:t.captureSelection)||void 0===r||r,args:0,...e}}function j(e){if(!e)return{};const t={};for(const a of Object.keys(e)){const i=e[a];if(null==i)delete t[a];else if("object"==typeof i&&"package"in i)for(const e of Object.keys(i.package))t[e]=H(i.package[e],{expand:i.expand,captureSelection:i.captureSelection});else t[a]=H(i)}return t}const W=[0,.69444,0,0],J=[0,.61111,0,0],U=[.25,.75,0,0],X=[0,.44444,0,0],G=[0,.68611,0,0],Z=[.19444,.69444,0,0],Y=[0,.68333,0,0],Q=[0,.68889,0,0],ee=[0,.69141,0,0],te=[0,0,0,0],ae=[0,.64444,0,0],ie=[0,.69224,0,0],oe=[.19444,.44444,0,0],re=[.65002,1.15,0,0],ne=[0,.55556,0,0],se=[.35001,.85,0,0],le=[1.25003,1.75,0,0],de=[.95003,1.45,0,0],ce=[0,.75,0,0],ue=[0,.47534,0,0],pe=[.25001,.75,0,0],he=[.55001,1.05,0,0],me=[.16667,.68889,0,0],fe=[.08167,.58167,0,0];var ye={"AMS-Regular":{32:te,65:Q,66:Q,67:Q,68:Q,69:Q,70:Q,71:Q,72:Q,73:Q,74:me,75:Q,76:Q,77:Q,78:Q,79:me,80:Q,81:me,82:Q,83:Q,84:Q,85:Q,86:Q,87:Q,88:Q,89:Q,90:Q,107:Q,160:te,165:[0,.675,.025,0],174:[.15559,.69224,0,0],240:Q,295:Q,710:[0,.825,0,0],732:[0,.9,0,0],770:[0,.825,0,0],771:[0,.9,0,0],989:fe,1008:[0,.43056,.04028,0],8245:[0,.54986,0,0],8463:Q,8487:Q,8498:Q,8502:Q,8503:Q,8504:Q,8513:Q,8592:[-.03598,.46402,0,0],8594:[-.03598,.46402,0,0],8602:[-.13313,.36687,0,0],8603:[-.13313,.36687,0,0],8606:[.01354,.52239,0,0],8608:[.01354,.52239,0,0],8610:[.01354,.52239,0,0],8611:[.01354,.52239,0,0],8619:[0,.54986,0,0],8620:[0,.54986,0,0],8621:[-.13313,.37788,0,0],8622:[-.13313,.36687,0,0],8624:ie,8625:ie,8630:[0,.43056,0,0],8631:[0,.43056,0,0],8634:[.08198,.58198,0,0],8635:[.08198,.58198,0,0],8638:[.19444,.69224,0,0],8639:[.19444,.69224,0,0],8642:[.19444,.69224,0,0],8643:[.19444,.69224,0,0],8644:[.1808,.675,0,0],8646:[.1808,.675,0,0],8647:[.1808,.675,0,0],8648:[.19444,.69224,0,0],8649:[.1808,.675,0,0],8650:[.19444,.69224,0,0],8651:[.01354,.52239,0,0],8652:[.01354,.52239,0,0],8653:[-.13313,.36687,0,0],8654:[-.13313,.36687,0,0],8655:[-.13313,.36687,0,0],8666:[.13667,.63667,0,0],8667:[.13667,.63667,0,0],8669:[-.13313,.37788,0,0],8672:[-.064,.437,0,0],8674:[-.064,.437,0,0],8705:[0,.825,0,0],8708:Q,8709:fe,8717:[0,.43056,0,0],8722:[-.03598,.46402,0,0],8724:[.08198,.69224,0,0],8726:fe,8733:ie,8736:ie,8737:ie,8738:[.03517,.52239,0,0],8739:fe,8740:[.25142,.74111,0,0],8741:fe,8742:[.25142,.74111,0,0],8756:ie,8757:ie,8764:[-.13313,.36687,0,0],8765:[-.13313,.37788,0,0],8769:[-.13313,.36687,0,0],8770:[-.03625,.46375,0,0],8774:[.30274,.79383,0,0],8776:[-.01688,.48312,0,0],8778:fe,8782:[.06062,.54986,0,0],8783:[.06062,.54986,0,0],8785:[.08198,.58198,0,0],8786:[.08198,.58198,0,0],8787:[.08198,.58198,0,0],8790:ie,8791:[.22958,.72958,0,0],8796:[.08198,.91667,0,0],8806:[.25583,.75583,0,0],8807:[.25583,.75583,0,0],8808:[.25142,.75726,0,0],8809:[.25142,.75726,0,0],8812:[.25583,.75583,0,0],8814:[.20576,.70576,0,0],8815:[.20576,.70576,0,0],8816:[.30274,.79383,0,0],8817:[.30274,.79383,0,0],8818:[.22958,.72958,0,0],8819:[.22958,.72958,0,0],8822:[.1808,.675,0,0],8823:[.1808,.675,0,0],8828:[.13667,.63667,0,0],8829:[.13667,.63667,0,0],8830:[.22958,.72958,0,0],8831:[.22958,.72958,0,0],8832:[.20576,.70576,0,0],8833:[.20576,.70576,0,0],8840:[.30274,.79383,0,0],8841:[.30274,.79383,0,0],8842:[.13597,.63597,0,0],8843:[.13597,.63597,0,0],8847:[.03517,.54986,0,0],8848:[.03517,.54986,0,0],8858:[.08198,.58198,0,0],8859:[.08198,.58198,0,0],8861:[.08198,.58198,0,0],8862:[0,.675,0,0],8863:[0,.675,0,0],8864:[0,.675,0,0],8865:[0,.675,0,0],8872:ie,8873:ie,8874:ie,8876:Q,8877:Q,8878:Q,8879:Q,8882:[.03517,.54986,0,0],8883:[.03517,.54986,0,0],8884:[.13667,.63667,0,0],8885:[.13667,.63667,0,0],8888:[0,.54986,0,0],8890:[.19444,.43056,0,0],8891:[.19444,.69224,0,0],8892:[.19444,.69224,0,0],8901:[0,.54986,0,0],8903:fe,8905:fe,8906:fe,8907:ie,8908:ie,8909:[-.03598,.46402,0,0],8910:[0,.54986,0,0],8911:[0,.54986,0,0],8912:[.03517,.54986,0,0],8913:[.03517,.54986,0,0],8914:[0,.54986,0,0],8915:[0,.54986,0,0],8916:ie,8918:[.0391,.5391,0,0],8919:[.0391,.5391,0,0],8920:[.03517,.54986,0,0],8921:[.03517,.54986,0,0],8922:[.38569,.88569,0,0],8923:[.38569,.88569,0,0],8926:[.13667,.63667,0,0],8927:[.13667,.63667,0,0],8928:[.30274,.79383,0,0],8929:[.30274,.79383,0,0],8934:[.23222,.74111,0,0],8935:[.23222,.74111,0,0],8936:[.23222,.74111,0,0],8937:[.23222,.74111,0,0],8938:[.20576,.70576,0,0],8939:[.20576,.70576,0,0],8940:[.30274,.79383,0,0],8941:[.30274,.79383,0,0],8994:[.19444,.69224,0,0],8995:[.19444,.69224,0,0],9416:[.15559,.69224,0,0],9484:ie,9488:ie,9492:[0,.37788,0,0],9496:[0,.37788,0,0],9585:[.19444,.68889,0,0],9586:[.19444,.74111,0,0],9632:[0,.675,0,0],9633:[0,.675,0,0],9650:[0,.54986,0,0],9651:[0,.54986,0,0],9654:[.03517,.54986,0,0],9660:[0,.54986,0,0],9661:[0,.54986,0,0],9664:[.03517,.54986,0,0],9674:[.11111,.69224,0,0],9733:[.19444,.69224,0,0],10003:ie,10016:ie,10731:[.11111,.69224,0,0],10846:[.19444,.75583,0,0],10877:[.13667,.63667,0,0],10878:[.13667,.63667,0,0],10885:[.25583,.75583,0,0],10886:[.25583,.75583,0,0],10887:[.13597,.63597,0,0],10888:[.13597,.63597,0,0],10889:[.26167,.75726,0,0],10890:[.26167,.75726,0,0],10891:[.48256,.98256,0,0],10892:[.48256,.98256,0,0],10901:[.13667,.63667,0,0],10902:[.13667,.63667,0,0],10933:[.25142,.75726,0,0],10934:[.25142,.75726,0,0],10935:[.26167,.75726,0,0],10936:[.26167,.75726,0,0],10937:[.26167,.75726,0,0],10938:[.26167,.75726,0,0],10949:[.25583,.75583,0,0],10950:[.25583,.75583,0,0],10955:[.28481,.79383,0,0],10956:[.28481,.79383,0,0],57350:fe,57351:fe,57352:fe,57353:[0,.43056,.04028,0],57356:[.25142,.75726,0,0],57357:[.25142,.75726,0,0],57358:[.41951,.91951,0,0],57359:[.30274,.79383,0,0],57360:[.30274,.79383,0,0],57361:[.41951,.91951,0,0],57366:[.25142,.75726,0,0],57367:[.25142,.75726,0,0],57368:[.25142,.75726,0,0],57369:[.25142,.75726,0,0],57370:[.13597,.63597,0,0],57371:[.13597,.63597,0,0]},"Caligraphic-Regular":{32:te,65:[0,.68333,0,.19445],66:[0,.68333,.03041,.13889],67:[0,.68333,.05834,.13889],68:[0,.68333,.02778,.08334],69:[0,.68333,.08944,.11111],70:[0,.68333,.09931,.11111],71:[.09722,.68333,.0593,.11111],72:[0,.68333,.00965,.11111],73:[0,.68333,.07382,0],74:[.09722,.68333,.18472,.16667],75:[0,.68333,.01445,.05556],76:[0,.68333,0,.13889],77:[0,.68333,0,.13889],78:[0,.68333,.14736,.08334],79:[0,.68333,.02778,.11111],80:[0,.68333,.08222,.08334],81:[.09722,.68333,0,.11111],82:[0,.68333,0,.08334],83:[0,.68333,.075,.13889],84:[0,.68333,.25417,0],85:[0,.68333,.09931,.08334],86:[0,.68333,.08222,0],87:[0,.68333,.08222,.08334],88:[0,.68333,.14643,.13889],89:[.09722,.68333,.08222,.08334],90:[0,.68333,.07944,.13889],160:te},"Fraktur-Regular":{32:te,33:ee,34:ee,38:ee,39:ee,40:[.24982,.74947,0,0],41:[.24982,.74947,0,0],42:[0,.62119,0,0],43:[.08319,.58283,0,0],44:[0,.10803,0,0],45:[.08319,.58283,0,0],46:[0,.10803,0,0],47:[.24982,.74947,0,0],48:ue,49:ue,50:ue,51:[.18906,.47534,0,0],52:[.18906,.47534,0,0],53:[.18906,.47534,0,0],54:ee,55:[.18906,.47534,0,0],56:ee,57:[.18906,.47534,0,0],58:ue,59:[.12604,.47534,0,0],61:[-.13099,.36866,0,0],63:ee,65:ee,66:ee,67:ee,68:ee,69:ee,70:[.12604,.69141,0,0],71:ee,72:[.06302,.69141,0,0],73:ee,74:[.12604,.69141,0,0],75:ee,76:ee,77:ee,78:ee,79:ee,80:[.18906,.69141,0,0],81:[.03781,.69141,0,0],82:ee,83:ee,84:ee,85:ee,86:ee,87:ee,88:ee,89:[.18906,.69141,0,0],90:[.12604,.69141,0,0],91:[.24982,.74947,0,0],93:[.24982,.74947,0,0],94:ee,97:ue,98:ee,99:ue,100:[0,.62119,0,0],101:ue,102:[.18906,.69141,0,0],103:[.18906,.47534,0,0],104:[.18906,.69141,0,0],105:ee,106:ee,107:ee,108:ee,109:ue,110:ue,111:ue,112:[.18906,.52396,0,0],113:[.18906,.47534,0,0],114:ue,115:ue,116:[0,.62119,0,0],117:ue,118:[0,.52396,0,0],119:[0,.52396,0,0],120:[.18906,.47534,0,0],121:[.18906,.47534,0,0],122:[.18906,.47534,0,0],160:te,8216:ee,8217:ee,58112:[0,.62119,0,0],58113:[0,.62119,0,0],58114:[.18906,.69141,0,0],58115:[.18906,.69141,0,0],58116:[.18906,.47534,0,0],58117:ee,58118:[0,.62119,0,0],58119:ue},"Main-Bold":{32:te,33:W,34:W,35:Z,36:[.05556,.75,0,0],37:[.05556,.75,0,0],38:W,39:W,40:U,41:U,42:ce,43:[.13333,.63333,0,0],44:[.19444,.15556,0,0],45:X,46:[0,.15556,0,0],47:U,48:ae,49:ae,50:ae,51:ae,52:ae,53:ae,54:ae,55:ae,56:ae,57:ae,58:X,59:oe,60:[.08556,.58556,0,0],61:[-.10889,.39111,0,0],62:[.08556,.58556,0,0],63:W,64:W,65:G,66:G,67:G,68:G,69:G,70:G,71:G,72:G,73:G,74:G,75:G,76:G,77:G,78:G,79:G,80:G,81:[.19444,.68611,0,0],82:G,83:G,84:G,85:G,86:[0,.68611,.01597,0],87:[0,.68611,.01597,0],88:G,89:[0,.68611,.02875,0],90:G,91:U,92:U,93:U,94:W,95:[.31,.13444,.03194,0],97:X,98:W,99:X,100:W,101:X,102:[0,.69444,.10903,0],103:[.19444,.44444,.01597,0],104:W,105:W,106:Z,107:W,108:W,109:X,110:X,111:X,112:oe,113:oe,114:X,115:X,116:[0,.63492,0,0],117:X,118:[0,.44444,.01597,0],119:[0,.44444,.01597,0],120:X,121:[.19444,.44444,.01597,0],122:X,123:U,124:U,125:U,126:[.35,.34444,0,0],160:te,163:W,168:W,172:X,176:W,177:[.13333,.63333,0,0],184:[.17014,0,0,0],198:G,215:[.13333,.63333,0,0],216:[.04861,.73472,0,0],223:W,230:X,247:[.13333,.63333,0,0],248:[.09722,.54167,0,0],305:X,338:G,339:X,567:oe,710:W,711:[0,.63194,0,0],713:[0,.59611,0,0],714:W,715:W,728:W,729:W,730:W,732:W,733:W,915:G,916:G,920:G,923:G,926:G,928:G,931:G,933:G,934:G,936:G,937:G,8211:[0,.44444,.03194,0],8212:[0,.44444,.03194,0],8216:W,8217:W,8220:W,8221:W,8224:Z,8225:Z,8242:ne,8407:[0,.72444,.15486,0],8463:W,8465:W,8467:W,8472:oe,8476:W,8501:W,8592:[-.10889,.39111,0,0],8593:Z,8594:[-.10889,.39111,0,0],8595:Z,8596:[-.10889,.39111,0,0],8597:U,8598:Z,8599:Z,8600:Z,8601:Z,8636:[-.10889,.39111,0,0],8637:[-.10889,.39111,0,0],8640:[-.10889,.39111,0,0],8641:[-.10889,.39111,0,0],8656:[-.10889,.39111,0,0],8657:Z,8658:[-.10889,.39111,0,0],8659:Z,8660:[-.10889,.39111,0,0],8661:U,8704:W,8706:[0,.69444,.06389,0],8707:W,8709:[.05556,.75,0,0],8711:G,8712:[.08556,.58556,0,0],8715:[.08556,.58556,0,0],8722:[.13333,.63333,0,0],8723:[.13333,.63333,0,0],8725:U,8726:U,8727:[-.02778,.47222,0,0],8728:[-.02639,.47361,0,0],8729:[-.02639,.47361,0,0],8730:[.18,.82,0,0],8733:X,8734:X,8736:ie,8739:U,8741:U,8743:ne,8744:ne,8745:ne,8746:ne,8747:[.19444,.69444,.12778,0],8764:[-.10889,.39111,0,0],8768:Z,8771:[.00222,.50222,0,0],8776:[.02444,.52444,0,0],8781:[.00222,.50222,0,0],8801:[.00222,.50222,0,0],8804:[.19667,.69667,0,0],8805:[.19667,.69667,0,0],8810:[.08556,.58556,0,0],8811:[.08556,.58556,0,0],8826:[.08556,.58556,0,0],8827:[.08556,.58556,0,0],8834:[.08556,.58556,0,0],8835:[.08556,.58556,0,0],8838:[.19667,.69667,0,0],8839:[.19667,.69667,0,0],8846:ne,8849:[.19667,.69667,0,0],8850:[.19667,.69667,0,0],8851:ne,8852:ne,8853:[.13333,.63333,0,0],8854:[.13333,.63333,0,0],8855:[.13333,.63333,0,0],8856:[.13333,.63333,0,0],8857:[.13333,.63333,0,0],8866:W,8867:W,8868:W,8869:W,8900:[-.02639,.47361,0,0],8901:[-.02639,.47361,0,0],8902:[-.02778,.47222,0,0],8968:U,8969:U,8970:U,8971:U,8994:[-.13889,.36111,0,0],8995:[-.13889,.36111,0,0],9651:Z,9657:[-.02778,.47222,0,0],9661:Z,9667:[-.02778,.47222,0,0],9711:Z,9824:[.12963,.69444,0,0],9825:[.12963,.69444,0,0],9826:[.12963,.69444,0,0],9827:[.12963,.69444,0,0],9837:ce,9838:Z,9839:Z,10216:U,10217:U,10815:G,10927:[.19667,.69667,0,0],10928:[.19667,.69667,0,0],57376:Z},"Main-BoldItalic":{32:te,33:[0,.69444,.11417,0],34:[0,.69444,.07939,0],35:[.19444,.69444,.06833,0],37:[.05556,.75,.12861,0],38:[0,.69444,.08528,0],39:[0,.69444,.12945,0],40:[.25,.75,.15806,0],41:[.25,.75,.03306,0],42:[0,.75,.14333,0],43:[.10333,.60333,.03306,0],44:[.19444,.14722,0,0],45:[0,.44444,.02611,0],46:[0,.14722,0,0],47:[.25,.75,.15806,0],48:[0,.64444,.13167,0],49:[0,.64444,.13167,0],50:[0,.64444,.13167,0],51:[0,.64444,.13167,0],52:[.19444,.64444,.13167,0],53:[0,.64444,.13167,0],54:[0,.64444,.13167,0],55:[.19444,.64444,.13167,0],56:[0,.64444,.13167,0],57:[0,.64444,.13167,0],58:[0,.44444,.06695,0],59:[.19444,.44444,.06695,0],61:[-.10889,.39111,.06833,0],63:[0,.69444,.11472,0],64:[0,.69444,.09208,0],65:G,66:[0,.68611,.0992,0],67:[0,.68611,.14208,0],68:[0,.68611,.09062,0],69:[0,.68611,.11431,0],70:[0,.68611,.12903,0],71:[0,.68611,.07347,0],72:[0,.68611,.17208,0],73:[0,.68611,.15681,0],74:[0,.68611,.145,0],75:[0,.68611,.14208,0],76:G,77:[0,.68611,.17208,0],78:[0,.68611,.17208,0],79:[0,.68611,.09062,0],80:[0,.68611,.0992,0],81:[.19444,.68611,.09062,0],82:[0,.68611,.02559,0],83:[0,.68611,.11264,0],84:[0,.68611,.12903,0],85:[0,.68611,.17208,0],86:[0,.68611,.18625,0],87:[0,.68611,.18625,0],88:[0,.68611,.15681,0],89:[0,.68611,.19803,0],90:[0,.68611,.14208,0],91:[.25,.75,.1875,0],93:[.25,.75,.09972,0],94:[0,.69444,.06709,0],95:[.31,.13444,.09811,0],97:[0,.44444,.09426,0],98:[0,.69444,.07861,0],99:[0,.44444,.05222,0],100:[0,.69444,.10861,0],101:[0,.44444,.085,0],102:[.19444,.69444,.21778,0],103:[.19444,.44444,.105,0],104:[0,.69444,.09426,0],105:[0,.69326,.11387,0],106:[.19444,.69326,.1672,0],107:[0,.69444,.11111,0],108:[0,.69444,.10861,0],109:[0,.44444,.09426,0],110:[0,.44444,.09426,0],111:[0,.44444,.07861,0],112:[.19444,.44444,.07861,0],113:[.19444,.44444,.105,0],114:[0,.44444,.11111,0],115:[0,.44444,.08167,0],116:[0,.63492,.09639,0],117:[0,.44444,.09426,0],118:[0,.44444,.11111,0],119:[0,.44444,.11111,0],120:[0,.44444,.12583,0],121:[.19444,.44444,.105,0],122:[0,.44444,.13889,0],126:[.35,.34444,.11472,0],160:te,168:[0,.69444,.11473,0],176:W,184:[.17014,0,0,0],198:[0,.68611,.11431,0],216:[.04861,.73472,.09062,0],223:[.19444,.69444,.09736,0],230:[0,.44444,.085,0],248:[.09722,.54167,.09458,0],305:[0,.44444,.09426,0],338:[0,.68611,.11431,0],339:[0,.44444,.085,0],567:[.19444,.44444,.04611,0],710:[0,.69444,.06709,0],711:[0,.63194,.08271,0],713:[0,.59444,.10444,0],714:[0,.69444,.08528,0],715:W,728:[0,.69444,.10333,0],729:[0,.69444,.12945,0],730:W,732:[0,.69444,.11472,0],733:[0,.69444,.11472,0],915:[0,.68611,.12903,0],916:G,920:[0,.68611,.09062,0],923:G,926:[0,.68611,.15092,0],928:[0,.68611,.17208,0],931:[0,.68611,.11431,0],933:[0,.68611,.10778,0],934:[0,.68611,.05632,0],936:[0,.68611,.10778,0],937:[0,.68611,.0992,0],8211:[0,.44444,.09811,0],8212:[0,.44444,.09811,0],8216:[0,.69444,.12945,0],8217:[0,.69444,.12945,0],8220:[0,.69444,.16772,0],8221:[0,.69444,.07939,0]},"Main-Italic":{32:te,33:[0,.69444,.12417,0],34:[0,.69444,.06961,0],35:[.19444,.69444,.06616,0],37:[.05556,.75,.13639,0],38:[0,.69444,.09694,0],39:[0,.69444,.12417,0],40:[.25,.75,.16194,0],41:[.25,.75,.03694,0],42:[0,.75,.14917,0],43:[.05667,.56167,.03694,0],44:[.19444,.10556,0,0],45:[0,.43056,.02826,0],46:[0,.10556,0,0],47:[.25,.75,.16194,0],48:[0,.64444,.13556,0],49:[0,.64444,.13556,0],50:[0,.64444,.13556,0],51:[0,.64444,.13556,0],52:[.19444,.64444,.13556,0],53:[0,.64444,.13556,0],54:[0,.64444,.13556,0],55:[.19444,.64444,.13556,0],56:[0,.64444,.13556,0],57:[0,.64444,.13556,0],58:[0,.43056,.0582,0],59:[.19444,.43056,.0582,0],61:[-.13313,.36687,.06616,0],63:[0,.69444,.1225,0],64:[0,.69444,.09597,0],65:Y,66:[0,.68333,.10257,0],67:[0,.68333,.14528,0],68:[0,.68333,.09403,0],69:[0,.68333,.12028,0],70:[0,.68333,.13305,0],71:[0,.68333,.08722,0],72:[0,.68333,.16389,0],73:[0,.68333,.15806,0],74:[0,.68333,.14028,0],75:[0,.68333,.14528,0],76:Y,77:[0,.68333,.16389,0],78:[0,.68333,.16389,0],79:[0,.68333,.09403,0],80:[0,.68333,.10257,0],81:[.19444,.68333,.09403,0],82:[0,.68333,.03868,0],83:[0,.68333,.11972,0],84:[0,.68333,.13305,0],85:[0,.68333,.16389,0],86:[0,.68333,.18361,0],87:[0,.68333,.18361,0],88:[0,.68333,.15806,0],89:[0,.68333,.19383,0],90:[0,.68333,.14528,0],91:[.25,.75,.1875,0],93:[.25,.75,.10528,0],94:[0,.69444,.06646,0],95:[.31,.12056,.09208,0],97:[0,.43056,.07671,0],98:[0,.69444,.06312,0],99:[0,.43056,.05653,0],100:[0,.69444,.10333,0],101:[0,.43056,.07514,0],102:[.19444,.69444,.21194,0],103:[.19444,.43056,.08847,0],104:[0,.69444,.07671,0],105:[0,.65536,.1019,0],106:[.19444,.65536,.14467,0],107:[0,.69444,.10764,0],108:[0,.69444,.10333,0],109:[0,.43056,.07671,0],110:[0,.43056,.07671,0],111:[0,.43056,.06312,0],112:[.19444,.43056,.06312,0],113:[.19444,.43056,.08847,0],114:[0,.43056,.10764,0],115:[0,.43056,.08208,0],116:[0,.61508,.09486,0],117:[0,.43056,.07671,0],118:[0,.43056,.10764,0],119:[0,.43056,.10764,0],120:[0,.43056,.12042,0],121:[.19444,.43056,.08847,0],122:[0,.43056,.12292,0],126:[.35,.31786,.11585,0],160:te,168:[0,.66786,.10474,0],176:W,184:[.17014,0,0,0],198:[0,.68333,.12028,0],216:[.04861,.73194,.09403,0],223:[.19444,.69444,.10514,0],230:[0,.43056,.07514,0],248:[.09722,.52778,.09194,0],338:[0,.68333,.12028,0],339:[0,.43056,.07514,0],710:[0,.69444,.06646,0],711:[0,.62847,.08295,0],713:[0,.56167,.10333,0],714:[0,.69444,.09694,0],715:W,728:[0,.69444,.10806,0],729:[0,.66786,.11752,0],730:W,732:[0,.66786,.11585,0],733:[0,.69444,.1225,0],915:[0,.68333,.13305,0],916:Y,920:[0,.68333,.09403,0],923:Y,926:[0,.68333,.15294,0],928:[0,.68333,.16389,0],931:[0,.68333,.12028,0],933:[0,.68333,.11111,0],934:[0,.68333,.05986,0],936:[0,.68333,.11111,0],937:[0,.68333,.10257,0],8211:[0,.43056,.09208,0],8212:[0,.43056,.09208,0],8216:[0,.69444,.12417,0],8217:[0,.69444,.12417,0],8220:[0,.69444,.1685,0],8221:[0,.69444,.06961,0],8463:Q},"Main-Regular":{32:te,33:W,34:W,35:Z,36:[.05556,.75,0,0],37:[.05556,.75,0,0],38:W,39:W,40:U,41:U,42:ce,43:[.08333,.58333,0,0],44:[.19444,.10556,0,0],45:[0,.43056,0,0],46:[0,.10556,0,0],47:U,48:ae,49:ae,50:ae,51:ae,52:ae,53:ae,54:ae,55:ae,56:ae,57:ae,58:[0,.43056,0,0],59:[.19444,.43056,0,0],60:[.0391,.5391,0,0],61:[-.13313,.36687,0,0],62:[.0391,.5391,0,0],63:W,64:W,65:Y,66:Y,67:Y,68:Y,69:Y,70:Y,71:Y,72:Y,73:Y,74:Y,75:Y,76:Y,77:Y,78:Y,79:Y,80:Y,81:[.19444,.68333,0,0],82:Y,83:Y,84:Y,85:Y,86:[0,.68333,.01389,0],87:[0,.68333,.01389,0],88:Y,89:[0,.68333,.025,0],90:Y,91:U,92:U,93:U,94:W,95:[.31,.12056,.02778,0],97:[0,.43056,0,0],98:W,99:[0,.43056,0,0],100:W,101:[0,.43056,0,0],102:[0,.69444,.07778,0],103:[.19444,.43056,.01389,0],104:W,105:[0,.66786,0,0],106:[.19444,.66786,0,0],107:W,108:W,109:[0,.43056,0,0],110:[0,.43056,0,0],111:[0,.43056,0,0],112:[.19444,.43056,0,0],113:[.19444,.43056,0,0],114:[0,.43056,0,0],115:[0,.43056,0,0],116:[0,.61508,0,0],117:[0,.43056,0,0],118:[0,.43056,.01389,0],119:[0,.43056,.01389,0],120:[0,.43056,0,0],121:[.19444,.43056,.01389,0],122:[0,.43056,0,0],123:U,124:U,125:U,126:[.35,.31786,0,0],160:te,163:W,167:Z,168:[0,.66786,0,0],172:[0,.43056,0,0],176:W,177:[.08333,.58333,0,0],182:Z,184:[.17014,0,0,0],198:Y,215:[.08333,.58333,0,0],216:[.04861,.73194,0,0],223:W,230:[0,.43056,0,0],247:[.08333,.58333,0,0],248:[.09722,.52778,0,0],305:[0,.43056,0,0],338:Y,339:[0,.43056,0,0],567:[.19444,.43056,0,0],710:W,711:[0,.62847,0,0],713:[0,.56778,0,0],714:W,715:W,728:W,729:[0,.66786,0,0],730:W,732:[0,.66786,0,0],733:W,915:Y,916:Y,920:Y,923:Y,926:Y,928:Y,931:Y,933:Y,934:Y,936:Y,937:Y,8211:[0,.43056,.02778,0],8212:[0,.43056,.02778,0],8216:W,8217:W,8220:W,8221:W,8224:Z,8225:Z,8230:[0,.12,0,0],8242:ne,8407:[0,.71444,.15382,0],8463:Q,8465:W,8467:[0,.69444,0,.11111],8472:[.19444,.43056,0,.11111],8476:W,8501:W,8592:[-.13313,.36687,0,0],8593:Z,8594:[-.13313,.36687,0,0],8595:Z,8596:[-.13313,.36687,0,0],8597:U,8598:Z,8599:Z,8600:Z,8601:Z,8614:[.011,.511,0,0],8617:[.011,.511,0,0],8618:[.011,.511,0,0],8636:[-.13313,.36687,0,0],8637:[-.13313,.36687,0,0],8640:[-.13313,.36687,0,0],8641:[-.13313,.36687,0,0],8652:[.011,.671,0,0],8656:[-.13313,.36687,0,0],8657:Z,8658:[-.13313,.36687,0,0],8659:Z,8660:[-.13313,.36687,0,0],8661:U,8704:W,8706:[0,.69444,.05556,.08334],8707:W,8709:[.05556,.75,0,0],8711:Y,8712:[.0391,.5391,0,0],8715:[.0391,.5391,0,0],8722:[.08333,.58333,0,0],8723:[.08333,.58333,0,0],8725:U,8726:U,8727:[-.03472,.46528,0,0],8728:[-.05555,.44445,0,0],8729:[-.05555,.44445,0,0],8730:[.2,.8,0,0],8733:[0,.43056,0,0],8734:[0,.43056,0,0],8736:ie,8739:U,8741:U,8743:ne,8744:ne,8745:ne,8746:ne,8747:[.19444,.69444,.11111,0],8764:[-.13313,.36687,0,0],8768:Z,8771:[-.03625,.46375,0,0],8773:[-.022,.589,0,0],8776:[-.01688,.48312,0,0],8781:[-.03625,.46375,0,0],8784:[-.133,.67,0,0],8801:[-.03625,.46375,0,0],8804:[.13597,.63597,0,0],8805:[.13597,.63597,0,0],8810:[.0391,.5391,0,0],8811:[.0391,.5391,0,0],8826:[.0391,.5391,0,0],8827:[.0391,.5391,0,0],8834:[.0391,.5391,0,0],8835:[.0391,.5391,0,0],8838:[.13597,.63597,0,0],8839:[.13597,.63597,0,0],8846:ne,8849:[.13597,.63597,0,0],8850:[.13597,.63597,0,0],8851:ne,8852:ne,8853:[.08333,.58333,0,0],8854:[.08333,.58333,0,0],8855:[.08333,.58333,0,0],8856:[.08333,.58333,0,0],8857:[.08333,.58333,0,0],8866:W,8867:W,8868:W,8869:W,8872:[.249,.75,0,0],8900:[-.05555,.44445,0,0],8901:[-.05555,.44445,0,0],8902:[-.03472,.46528,0,0],8904:[.005,.505,0,0],8942:[.03,.9,0,0],8943:[-.19,.31,0,0],8945:[-.1,.82,0,0],8968:U,8969:U,8970:U,8971:U,8994:[-.14236,.35764,0,0],8995:[-.14236,.35764,0,0],9136:[.244,.744,0,0],9137:[.244,.744,0,0],9651:Z,9657:[-.03472,.46528,0,0],9661:Z,9667:[-.03472,.46528,0,0],9711:Z,9824:[.12963,.69444,0,0],9825:[.12963,.69444,0,0],9826:[.12963,.69444,0,0],9827:[.12963,.69444,0,0],9837:ce,9838:Z,9839:Z,10216:U,10217:U,10222:[.244,.744,0,0],10223:[.244,.744,0,0],10229:[.011,.511,0,0],10230:[.011,.511,0,0],10231:[.011,.511,0,0],10232:[.024,.525,0,0],10233:[.024,.525,0,0],10234:[.024,.525,0,0],10236:[.011,.511,0,0],10815:Y,10927:[.13597,.63597,0,0],10928:[.13597,.63597,0,0],57376:Z},"Math-BoldItalic":{32:te,48:X,49:X,50:X,51:oe,52:oe,53:oe,54:ae,55:oe,56:ae,57:oe,65:G,66:[0,.68611,.04835,0],67:[0,.68611,.06979,0],68:[0,.68611,.03194,0],69:[0,.68611,.05451,0],70:[0,.68611,.15972,0],71:G,72:[0,.68611,.08229,0],73:[0,.68611,.07778,0],74:[0,.68611,.10069,0],75:[0,.68611,.06979,0],76:G,77:[0,.68611,.11424,0],78:[0,.68611,.11424,0],79:[0,.68611,.03194,0],80:[0,.68611,.15972,0],81:[.19444,.68611,0,0],82:[0,.68611,.00421,0],83:[0,.68611,.05382,0],84:[0,.68611,.15972,0],85:[0,.68611,.11424,0],86:[0,.68611,.25555,0],87:[0,.68611,.15972,0],88:[0,.68611,.07778,0],89:[0,.68611,.25555,0],90:[0,.68611,.06979,0],97:X,98:W,99:X,100:W,101:X,102:[.19444,.69444,.11042,0],103:[.19444,.44444,.03704,0],104:W,105:[0,.69326,0,0],106:[.19444,.69326,.0622,0],107:[0,.69444,.01852,0],108:[0,.69444,.0088,0],109:X,110:X,111:X,112:oe,113:[.19444,.44444,.03704,0],114:[0,.44444,.03194,0],115:X,116:[0,.63492,0,0],117:X,118:[0,.44444,.03704,0],119:[0,.44444,.02778,0],120:X,121:[.19444,.44444,.03704,0],122:[0,.44444,.04213,0],160:te,915:[0,.68611,.15972,0],916:G,920:[0,.68611,.03194,0],923:G,926:[0,.68611,.07458,0],928:[0,.68611,.08229,0],931:[0,.68611,.05451,0],933:[0,.68611,.15972,0],934:G,936:[0,.68611,.11653,0],937:[0,.68611,.04835,0],945:X,946:[.19444,.69444,.03403,0],947:[.19444,.44444,.06389,0],948:[0,.69444,.03819,0],949:X,950:[.19444,.69444,.06215,0],951:[.19444,.44444,.03704,0],952:[0,.69444,.03194,0],953:X,954:X,955:W,956:oe,957:[0,.44444,.06898,0],958:[.19444,.69444,.03021,0],959:X,960:[0,.44444,.03704,0],961:oe,962:[.09722,.44444,.07917,0],963:[0,.44444,.03704,0],964:[0,.44444,.13472,0],965:[0,.44444,.03704,0],966:oe,967:oe,968:[.19444,.69444,.03704,0],969:[0,.44444,.03704,0],977:W,981:Z,982:[0,.44444,.03194,0],1009:oe,1013:X,57649:X,57911:oe},"Math-Italic":{32:te,48:[0,.43056,0,0],49:[0,.43056,0,0],50:[0,.43056,0,0],51:[.19444,.43056,0,0],52:[.19444,.43056,0,0],53:[.19444,.43056,0,0],54:ae,55:[.19444,.43056,0,0],56:ae,57:[.19444,.43056,0,0],65:[0,.68333,0,.13889],66:[0,.68333,.05017,.08334],67:[0,.68333,.07153,.08334],68:[0,.68333,.02778,.05556],69:[0,.68333,.05764,.08334],70:[0,.68333,.13889,.08334],71:[0,.68333,0,.08334],72:[0,.68333,.08125,.05556],73:[0,.68333,.07847,.11111],74:[0,.68333,.09618,.16667],75:[0,.68333,.07153,.05556],76:[0,.68333,0,.02778],77:[0,.68333,.10903,.08334],78:[0,.68333,.10903,.08334],79:[0,.68333,.02778,.08334],80:[0,.68333,.13889,.08334],81:[.19444,.68333,0,.08334],82:[0,.68333,.00773,.08334],83:[0,.68333,.05764,.08334],84:[0,.68333,.13889,.08334],85:[0,.68333,.10903,.02778],86:[0,.68333,.22222,0],87:[0,.68333,.13889,0],88:[0,.68333,.07847,.08334],89:[0,.68333,.22222,0],90:[0,.68333,.07153,.08334],97:[0,.43056,0,0],98:W,99:[0,.43056,0,.05556],100:[0,.69444,0,.16667],101:[0,.43056,0,.05556],102:[.19444,.69444,.10764,.16667],103:[.19444,.43056,.03588,.02778],104:W,105:[0,.65952,0,0],106:[.19444,.65952,.05724,0],107:[0,.69444,.03148,0],108:[0,.69444,.01968,.08334],109:[0,.43056,0,0],110:[0,.43056,0,0],111:[0,.43056,0,.05556],112:[.19444,.43056,0,.08334],113:[.19444,.43056,.03588,.08334],114:[0,.43056,.02778,.05556],115:[0,.43056,0,.05556],116:[0,.61508,0,.08334],117:[0,.43056,0,.02778],118:[0,.43056,.03588,.02778],119:[0,.43056,.02691,.08334],120:[0,.43056,0,.02778],121:[.19444,.43056,.03588,.05556],122:[0,.43056,.04398,.05556],160:te,915:[0,.68333,.13889,.08334],916:[0,.68333,0,.16667],920:[0,.68333,.02778,.08334],923:[0,.68333,0,.16667],926:[0,.68333,.07569,.08334],928:[0,.68333,.08125,.05556],931:[0,.68333,.05764,.08334],933:[0,.68333,.13889,.05556],934:[0,.68333,0,.08334],936:[0,.68333,.11,.05556],937:[0,.68333,.05017,.08334],945:[0,.43056,.0037,.02778],946:[.19444,.69444,.05278,.08334],947:[.19444,.43056,.05556,0],948:[0,.69444,.03785,.05556],949:[0,.43056,0,.08334],950:[.19444,.69444,.07378,.08334],951:[.19444,.43056,.03588,.05556],952:[0,.69444,.02778,.08334],953:[0,.43056,0,.05556],954:[0,.43056,0,0],955:W,956:[.19444,.43056,0,.02778],957:[0,.43056,.06366,.02778],958:[.19444,.69444,.04601,.11111],959:[0,.43056,0,.05556],960:[0,.43056,.03588,0],961:[.19444,.43056,0,.08334],962:[.09722,.43056,.07986,.08334],963:[0,.43056,.03588,0],964:[0,.43056,.1132,.02778],965:[0,.43056,.03588,.02778],966:[.19444,.43056,0,.08334],967:[.19444,.43056,0,.05556],968:[.19444,.69444,.03588,.11111],969:[0,.43056,.03588,0],977:[0,.69444,0,.08334],981:[.19444,.69444,0,.08334],982:[0,.43056,.02778,0],1009:[.19444,.43056,0,.08334],1013:[0,.43056,0,.05556],57649:[0,.43056,0,.02778],57911:[.19444,.43056,0,.08334]},"SansSerif-Bold":{32:te,33:W,34:W,35:Z,36:[.05556,.75,0,0],37:[.05556,.75,0,0],38:W,39:W,40:U,41:U,42:ce,43:[.11667,.61667,0,0],44:[.10556,.13056,0,0],45:[0,.45833,0,0],46:[0,.13056,0,0],47:U,48:W,49:W,50:W,51:W,52:W,53:W,54:W,55:W,56:W,57:W,58:[0,.45833,0,0],59:[.10556,.45833,0,0],61:[-.09375,.40625,0,0],63:W,64:W,65:W,66:W,67:W,68:W,69:W,70:W,71:W,72:W,73:W,74:W,75:W,76:W,77:W,78:W,79:W,80:W,81:[.10556,.69444,0,0],82:W,83:W,84:W,85:W,86:[0,.69444,.01528,0],87:[0,.69444,.01528,0],88:W,89:[0,.69444,.0275,0],90:W,91:U,93:U,94:W,95:[.35,.10833,.03056,0],97:[0,.45833,0,0],98:W,99:[0,.45833,0,0],100:W,101:[0,.45833,0,0],102:[0,.69444,.07639,0],103:[.19444,.45833,.01528,0],104:W,105:W,106:Z,107:W,108:W,109:[0,.45833,0,0],110:[0,.45833,0,0],111:[0,.45833,0,0],112:[.19444,.45833,0,0],113:[.19444,.45833,0,0],114:[0,.45833,.01528,0],115:[0,.45833,0,0],116:[0,.58929,0,0],117:[0,.45833,0,0],118:[0,.45833,.01528,0],119:[0,.45833,.01528,0],120:[0,.45833,0,0],121:[.19444,.45833,.01528,0],122:[0,.45833,0,0],126:[.35,.34444,0,0],160:te,168:W,176:W,180:W,184:[.17014,0,0,0],305:[0,.45833,0,0],567:[.19444,.45833,0,0],710:W,711:[0,.63542,0,0],713:[0,.63778,0,0],728:W,729:W,730:W,732:W,733:W,915:W,916:W,920:W,923:W,926:W,928:W,931:W,933:W,934:W,936:W,937:W,8211:[0,.45833,.03056,0],8212:[0,.45833,.03056,0],8216:W,8217:W,8220:W,8221:W},"SansSerif-Italic":{32:te,33:[0,.69444,.05733,0],34:[0,.69444,.00316,0],35:[.19444,.69444,.05087,0],36:[.05556,.75,.11156,0],37:[.05556,.75,.03126,0],38:[0,.69444,.03058,0],39:[0,.69444,.07816,0],40:[.25,.75,.13164,0],41:[.25,.75,.02536,0],42:[0,.75,.11775,0],43:[.08333,.58333,.02536,0],44:[.125,.08333,0,0],45:[0,.44444,.01946,0],46:[0,.08333,0,0],47:[.25,.75,.13164,0],48:[0,.65556,.11156,0],49:[0,.65556,.11156,0],50:[0,.65556,.11156,0],51:[0,.65556,.11156,0],52:[0,.65556,.11156,0],53:[0,.65556,.11156,0],54:[0,.65556,.11156,0],55:[0,.65556,.11156,0],56:[0,.65556,.11156,0],57:[0,.65556,.11156,0],58:[0,.44444,.02502,0],59:[.125,.44444,.02502,0],61:[-.13,.37,.05087,0],63:[0,.69444,.11809,0],64:[0,.69444,.07555,0],65:W,66:[0,.69444,.08293,0],67:[0,.69444,.11983,0],68:[0,.69444,.07555,0],69:[0,.69444,.11983,0],70:[0,.69444,.13372,0],71:[0,.69444,.11983,0],72:[0,.69444,.08094,0],73:[0,.69444,.13372,0],74:[0,.69444,.08094,0],75:[0,.69444,.11983,0],76:W,77:[0,.69444,.08094,0],78:[0,.69444,.08094,0],79:[0,.69444,.07555,0],80:[0,.69444,.08293,0],81:[.125,.69444,.07555,0],82:[0,.69444,.08293,0],83:[0,.69444,.09205,0],84:[0,.69444,.13372,0],85:[0,.69444,.08094,0],86:[0,.69444,.1615,0],87:[0,.69444,.1615,0],88:[0,.69444,.13372,0],89:[0,.69444,.17261,0],90:[0,.69444,.11983,0],91:[.25,.75,.15942,0],93:[.25,.75,.08719,0],94:[0,.69444,.0799,0],95:[.35,.09444,.08616,0],97:[0,.44444,.00981,0],98:[0,.69444,.03057,0],99:[0,.44444,.08336,0],100:[0,.69444,.09483,0],101:[0,.44444,.06778,0],102:[0,.69444,.21705,0],103:[.19444,.44444,.10836,0],104:[0,.69444,.01778,0],105:[0,.67937,.09718,0],106:[.19444,.67937,.09162,0],107:[0,.69444,.08336,0],108:[0,.69444,.09483,0],109:[0,.44444,.01778,0],110:[0,.44444,.01778,0],111:[0,.44444,.06613,0],112:[.19444,.44444,.0389,0],113:[.19444,.44444,.04169,0],114:[0,.44444,.10836,0],115:[0,.44444,.0778,0],116:[0,.57143,.07225,0],117:[0,.44444,.04169,0],118:[0,.44444,.10836,0],119:[0,.44444,.10836,0],120:[0,.44444,.09169,0],121:[.19444,.44444,.10836,0],122:[0,.44444,.08752,0],126:[.35,.32659,.08826,0],160:te,168:[0,.67937,.06385,0],176:W,184:[.17014,0,0,0],305:[0,.44444,.04169,0],567:[.19444,.44444,.04169,0],710:[0,.69444,.0799,0],711:[0,.63194,.08432,0],713:[0,.60889,.08776,0],714:[0,.69444,.09205,0],715:W,728:[0,.69444,.09483,0],729:[0,.67937,.07774,0],730:W,732:[0,.67659,.08826,0],733:[0,.69444,.09205,0],915:[0,.69444,.13372,0],916:W,920:[0,.69444,.07555,0],923:W,926:[0,.69444,.12816,0],928:[0,.69444,.08094,0],931:[0,.69444,.11983,0],933:[0,.69444,.09031,0],934:[0,.69444,.04603,0],936:[0,.69444,.09031,0],937:[0,.69444,.08293,0],8211:[0,.44444,.08616,0],8212:[0,.44444,.08616,0],8216:[0,.69444,.07816,0],8217:[0,.69444,.07816,0],8220:[0,.69444,.14205,0],8221:[0,.69444,.00316,0]},"SansSerif-Regular":{32:te,33:W,34:W,35:Z,36:[.05556,.75,0,0],37:[.05556,.75,0,0],38:W,39:W,40:U,41:U,42:ce,43:[.08333,.58333,0,0],44:[.125,.08333,0,0],45:X,46:[0,.08333,0,0],47:U,48:[0,.65556,0,0],49:[0,.65556,0,0],50:[0,.65556,0,0],51:[0,.65556,0,0],52:[0,.65556,0,0],53:[0,.65556,0,0],54:[0,.65556,0,0],55:[0,.65556,0,0],56:[0,.65556,0,0],57:[0,.65556,0,0],58:X,59:[.125,.44444,0,0],61:[-.13,.37,0,0],63:W,64:W,65:W,66:W,67:W,68:W,69:W,70:W,71:W,72:W,73:W,74:W,75:W,76:W,77:W,78:W,79:W,80:W,81:[.125,.69444,0,0],82:W,83:W,84:W,85:W,86:[0,.69444,.01389,0],87:[0,.69444,.01389,0],88:W,89:[0,.69444,.025,0],90:W,91:U,93:U,94:W,95:[.35,.09444,.02778,0],97:X,98:W,99:X,100:W,101:X,102:[0,.69444,.06944,0],103:[.19444,.44444,.01389,0],104:W,105:[0,.67937,0,0],106:[.19444,.67937,0,0],107:W,108:W,109:X,110:X,111:X,112:oe,113:oe,114:[0,.44444,.01389,0],115:X,116:[0,.57143,0,0],117:X,118:[0,.44444,.01389,0],119:[0,.44444,.01389,0],120:X,121:[.19444,.44444,.01389,0],122:X,126:[.35,.32659,0,0],160:te,168:[0,.67937,0,0],176:W,184:[.17014,0,0,0],305:X,567:oe,710:W,711:[0,.63194,0,0],713:[0,.60889,0,0],714:W,715:W,728:W,729:[0,.67937,0,0],730:W,732:[0,.67659,0,0],733:W,915:W,916:W,920:W,923:W,926:W,928:W,931:W,933:W,934:W,936:W,937:W,8211:[0,.44444,.02778,0],8212:[0,.44444,.02778,0],8216:W,8217:W,8220:W,8221:W},"Script-Regular":{32:te,65:[0,.7,.22925,0],66:[0,.7,.04087,0],67:[0,.7,.1689,0],68:[0,.7,.09371,0],69:[0,.7,.18583,0],70:[0,.7,.13634,0],71:[0,.7,.17322,0],72:[0,.7,.29694,0],73:[0,.7,.19189,0],74:[.27778,.7,.19189,0],75:[0,.7,.31259,0],76:[0,.7,.19189,0],77:[0,.7,.15981,0],78:[0,.7,.3525,0],79:[0,.7,.08078,0],80:[0,.7,.08078,0],81:[0,.7,.03305,0],82:[0,.7,.06259,0],83:[0,.7,.19189,0],84:[0,.7,.29087,0],85:[0,.7,.25815,0],86:[0,.7,.27523,0],87:[0,.7,.27523,0],88:[0,.7,.26006,0],89:[0,.7,.2939,0],90:[0,.7,.24037,0],160:te},"Size1-Regular":{32:te,40:se,41:se,47:se,91:se,92:se,93:se,123:se,125:se,160:te,710:[0,.72222,0,0],732:[0,.72222,0,0],770:[0,.72222,0,0],771:[0,.72222,0,0],8214:[-99e-5,.601,0,0],8593:[1e-5,.6,0,0],8595:[1e-5,.6,0,0],8657:[1e-5,.6,0,0],8659:[1e-5,.6,0,0],8719:pe,8720:pe,8721:pe,8730:se,8739:[-.00599,.606,0,0],8741:[-.00599,.606,0,0],8747:[.30612,.805,.19445,0],8748:[.306,.805,.19445,0],8749:[.306,.805,.19445,0],8750:[.30612,.805,.19445,0],8896:pe,8897:pe,8898:pe,8899:pe,8968:se,8969:se,8970:se,8971:se,9168:[-99e-5,.601,0,0],10216:se,10217:se,10752:pe,10753:pe,10754:pe,10756:pe,10758:pe},"Size2-Regular":{32:te,40:re,41:re,47:re,91:re,92:re,93:re,123:re,125:re,160:te,710:ce,732:ce,770:ce,771:ce,8719:he,8720:he,8721:he,8730:re,8747:[.86225,1.36,.44445,0],8748:[.862,1.36,.44445,0],8749:[.862,1.36,.44445,0],8750:[.86225,1.36,.44445,0],8896:he,8897:he,8898:he,8899:he,8968:re,8969:re,8970:re,8971:re,10216:re,10217:re,10752:he,10753:he,10754:he,10756:he,10758:he},"Size3-Regular":{32:te,40:de,41:de,47:de,91:de,92:de,93:de,123:de,125:de,160:te,710:ce,732:ce,770:ce,771:ce,8730:de,8968:de,8969:de,8970:de,8971:de,10216:de,10217:de},"Size4-Regular":{32:te,40:le,41:le,47:le,91:le,92:le,93:le,123:le,125:le,160:te,710:[0,.825,0,0],732:[0,.825,0,0],770:[0,.825,0,0],771:[0,.825,0,0],8730:le,8968:le,8969:le,8970:le,8971:le,9115:[.64502,1.155,0,0],9116:[1e-5,.6,0,0],9117:[.64502,1.155,0,0],9118:[.64502,1.155,0,0],9119:[1e-5,.6,0,0],9120:[.64502,1.155,0,0],9121:[.64502,1.155,0,0],9122:[-99e-5,.601,0,0],9123:[.64502,1.155,0,0],9124:[.64502,1.155,0,0],9125:[-99e-5,.601,0,0],9126:[.64502,1.155,0,0],9127:[1e-5,.9,0,0],9128:re,9129:[.90001,0,0,0],9130:[0,.3,0,0],9131:[1e-5,.9,0,0],9132:re,9133:[.90001,0,0,0],9143:[.88502,.915,0,0],10216:le,10217:le,57344:[-.00499,.605,0,0],57345:[-.00499,.605,0,0],57680:[0,.12,0,0],57681:[0,.12,0,0],57682:[0,.12,0,0],57683:[0,.12,0,0]},"Typewriter-Regular":{32:te,33:J,34:J,35:J,36:[.08333,.69444,0,0],37:[.08333,.69444,0,0],38:J,39:J,40:[.08333,.69444,0,0],41:[.08333,.69444,0,0],42:[0,.52083,0,0],43:[-.08056,.53055,0,0],44:[.13889,.125,0,0],45:[-.08056,.53055,0,0],46:[0,.125,0,0],47:[.08333,.69444,0,0],48:J,49:J,50:J,51:J,52:J,53:J,54:J,55:J,56:J,57:J,58:[0,.43056,0,0],59:[.13889,.43056,0,0],60:[-.05556,.55556,0,0],61:[-.19549,.41562,0,0],62:[-.05556,.55556,0,0],63:J,64:J,65:J,66:J,67:J,68:J,69:J,70:J,71:J,72:J,73:J,74:J,75:J,76:J,77:J,78:J,79:J,80:J,81:[.13889,.61111,0,0],82:J,83:J,84:J,85:J,86:J,87:J,88:J,89:J,90:J,91:[.08333,.69444,0,0],92:[.08333,.69444,0,0],93:[.08333,.69444,0,0],94:J,95:[.09514,0,0,0],96:J,97:[0,.43056,0,0],98:J,99:[0,.43056,0,0],100:J,101:[0,.43056,0,0],102:J,103:[.22222,.43056,0,0],104:J,105:J,106:[.22222,.61111,0,0],107:J,108:J,109:[0,.43056,0,0],110:[0,.43056,0,0],111:[0,.43056,0,0],112:[.22222,.43056,0,0],113:[.22222,.43056,0,0],114:[0,.43056,0,0],115:[0,.43056,0,0],116:[0,.55358,0,0],117:[0,.43056,0,0],118:[0,.43056,0,0],119:[0,.43056,0,0],120:[0,.43056,0,0],121:[.22222,.43056,0,0],122:[0,.43056,0,0],123:[.08333,.69444,0,0],124:[.08333,.69444,0,0],125:[.08333,.69444,0,0],126:J,127:J,160:te,176:J,184:[.19445,0,0,0],305:[0,.43056,0,0],567:[.22222,.43056,0,0],711:[0,.56597,0,0],713:[0,.56555,0,0],714:J,715:J,728:J,730:J,770:J,771:J,776:J,915:J,916:J,920:J,923:J,926:J,928:J,931:J,933:J,934:J,936:J,937:J,8216:J,8217:J,8242:J,9251:[.11111,.21944,0,0]}};const be=/[\u3040-\u309F]|[\u30A0-\u30FF]|[\u4E00-\u9FAF]|[\uAC00-\uD7AF]/,ge=.25,ve=.431,ke={slant:[.25,.25,.25],space:[0,0,0],stretch:[0,0,0],shrink:[0,0,0],xHeight:[ve,ve,ve],quad:[1,1.171,1.472],extraSpace:[0,0,0],num1:[.677,.732,.925],num2:[.394,.384,.387],num3:[.444,.471,.504],denom1:[.686,.752,1.025],denom2:[.345,.344,.532],sup1:[.413,.503,.504],sup2:[.363,.431,.404],sup3:[.289,.286,.294],sub1:[.15,.143,.2],sub2:[.247,.286,.4],supDrop:[.386,.353,.494],subDrop:[.05,.071,.1],delim1:[2.39,1.7,1.98],delim2:[1.01,1.157,1.42],axisHeight:[ge,ge,ge],defaultRuleThickness:[.04,.049,.049],bigOpSpacing1:[.111,.111,.111],bigOpSpacing2:[.166,.166,.166],bigOpSpacing3:[.2,.2,.2],bigOpSpacing4:[.6,.611,.611],bigOpSpacing5:[.1,.143,.143],sqrtRuleThickness:[.04,.04,.04]},xe=[0,.5,.7,.8,.9,1,1.2,1.44,1.728,2.074,2.488],we={"\xa0":" ","\u200b":" ",\u00c5:"A",\u00c7:"C",\u00d0:"D",\u00de:"o",\u00e5:"a",\u00e7:"c",\u00f0:"d",\u00fe:"o",\u0410:"A",\u0411:"B",\u0412:"B",\u0413:"F",\u0414:"A",\u0415:"E",\u0416:"K",\u0417:"3",\u0418:"N",\u0419:"N",\u041a:"K",\u041b:"N",\u041c:"M",\u041d:"H",\u041e:"O",\u041f:"N",\u0420:"P",\u0421:"C",\u0422:"T",\u0423:"y",\u0424:"O",\u0425:"X",\u0426:"U",\u0427:"h",\u0428:"W",\u0429:"W",\u042a:"B",\u042b:"X",\u042c:"B",\u042d:"3",\u042e:"X",\u042f:"R",\u0430:"a",\u0431:"b",\u0432:"a",\u0433:"r",\u0434:"y",\u0435:"e",\u0436:"m",\u0437:"e",\u0438:"n",\u0439:"n",\u043a:"n",\u043b:"n",\u043c:"m",\u043d:"n",\u043e:"o",\u043f:"n",\u0440:"p",\u0441:"c",\u0442:"o",\u0443:"y",\u0444:"b",\u0445:"x",\u0446:"n",\u0447:"n",\u0448:"w",\u0449:"w",\u044a:"a",\u044b:"m",\u044c:"a",\u044d:"e",\u044e:"m",\u044f:"r"};function _e(e,t){void 0===e&&(e=77);const a=ye[t][e];if(a)return{defaultMetrics:!1,depth:a[0],height:a[1],italic:a[2],skew:a[3]};if(11034===e)return{defaultMetrics:!0,depth:.2,height:.8,italic:0,skew:0};const i=String.fromCodePoint(e);if(i in we)e=we[i].codePointAt(0);else if(be.test(i))return e=77,{defaultMetrics:!0,depth:.2,height:.9,italic:0,skew:0};return{defaultMetrics:!0,depth:.2,height:.7,italic:0,skew:0}}class Se{constructor(e,t,a){this.id=e,this.sizeDelta=t,this.cramped=a;const i={"-4":2,"-3":1,0:0}[t];this.metrics=Object.keys(ke).reduce(((e,t)=>({...e,[t]:ke[t][i]})),{})}getFontSize(e){return Math.max(1,e+this.sizeDelta)}get sup(){return Me[[0,1,0,1,2,3,2,3][this.id]]}get sub(){return Me[[0,0,0,0,2,2,2,2][this.id]]}get fracNum(){return Me[[0,1,0,1,2,3,4,5][this.id]]}get fracDen(){return Me[[0,0,0,0,2,2,4,4][this.id]]}get cramp(){return Me[[0,0,2,2,4,4,6,6][this.id]]}get isTight(){return this.sizeDelta<0}}const Me={7:new Se(7,0,!1),6:new Se(6,0,!0),5:new Se(5,0,!1),4:new Se(4,0,!0),3:new Se(3,-3,!1),2:new Se(2,-3,!0),1:new Se(1,-4,!1),0:new Se(0,-4,!0)};function Le(e,t){return null===e?0:function(e,t){var a;if(!e)return 0;const i={pt:1,mm:7227/2540,cm:7227/254,ex:35271/8192,px:3/4,em:10,bp:1.00375,dd:1238/1157,pc:12,in:72.27,mu:10/18}[null!==(a=e.unit)&&void 0!==a?a:"pt"];if(Number.isFinite(t)){const a=10**t;return Math.round(e.dimension/10*i*a)/a}return e.dimension*i}(e,t)/10}function Ce(e){var t;return`${e.dimension}${null!==(t=e.unit)&&void 0!==t?t:"pt"}`}Me.displaystyle=Me[7],Me.textstyle=Me[5],Me.scriptstyle=Me[3],Me.scriptscriptstyle=Me[1];class Ae{constructor(e,t,a){var i,o,r,n,s,l;e instanceof Ae&&(this.parent=e),e instanceof Ae||(this.registers=null!==(i=e.registers)&&void 0!==i?i:{}),this.isPhantom=null!==(n=null!==(o=null==t?void 0:t.isPhantom)&&void 0!==o?o:null===(r=this.parent)||void 0===r?void 0:r.isPhantom)&&void 0!==n&&n;const d={...e};let c;if(t&&(t.letterShapeStyle&&"auto"!==t.letterShapeStyle&&(d.letterShapeStyle=t.letterShapeStyle),t.color&&"none"!==t.color&&(d.color=t.color),t.backgroundColor&&"none"!==t.backgroundColor&&(d.backgroundColor=t.backgroundColor),t.fontSize&&"auto"!==t.fontSize&&t.fontSize!==(null===(s=this.parent)||void 0===s?void 0:s._size)&&(this._size=t.fontSize)),this.letterShapeStyle=null!==(l=d.letterShapeStyle)&&void 0!==l?l:"tex",this.color=d.color,this.backgroundColor=d.backgroundColor,"string"==typeof a){if(e instanceof Ae)switch(a){case"cramp":c=e.mathstyle.cramp;break;case"superscript":c=e.mathstyle.sup;break;case"subscript":c=e.mathstyle.sub;break;case"numerator":c=e.mathstyle.fracNum;break;case"denominator":c=e.mathstyle.fracDen}switch(a){case"textstyle":c=Me.textstyle;break;case"displaystyle":c=Me.displaystyle;break;case"scriptstyle":c=Me.scriptstyle;break;case"scriptscriptstyle":c=Me.scriptscriptstyle}}this._mathstyle=c,this.atomIdsSettings=e.atomIdsSettings,this.renderPlaceholder=d.renderPlaceholder}get mathstyle(){let e=this._mathstyle,t=this.parent;for(;!e;)e=t._mathstyle,t=t.parent;return e}getRegister(e){var t;return(null===(t=this.registers)||void 0===t?void 0:t[e])?this.registers[e]:this.parent?this.parent.getRegister(e):void 0}getRegisterAsGlue(e){var t;if(null===(t=this.registers)||void 0===t?void 0:t[e]){const t=this.registers[e];return"object"==typeof t&&"glue"in t?t:"object"==typeof t&&"dimension"in t?{glue:{dimension:t.dimension}}:"number"==typeof t?{glue:{dimension:t}}:void 0}if(this.parent)return this.parent.getRegisterAsGlue(e)}getRegisterAsEm(e){return Le(this.getRegisterAsDimension(e))}getRegisterAsDimension(e){var t;if(null===(t=this.registers)||void 0===t?void 0:t[e]){const t=this.registers[e];return"object"==typeof t&&"glue"in t?t.glue:"object"==typeof t&&"dimension"in t?t:"number"==typeof t?{dimension:t}:void 0}if(this.parent)return this.parent.getRegisterAsDimension(e)}setRegister(e,t){void 0!==t?this.registers[e]=t:delete this.registers[e]}setGlobalRegister(e,t){let a=this;for(;a.parent;)a.setRegister(e,void 0),a=a.parent;a.setRegister(e,t)}get size(){let e=this._size,t=this.parent;for(;!e;)e=t._size,t=t.parent;return e}makeID(){if(!this.atomIdsSettings)return;if(this.atomIdsSettings.overrideID)return this.atomIdsSettings.overrideID;if("number"!=typeof this.atomIdsSettings.seed)return Date.now().toString(36).slice(-2)+Math.floor(1e5*Math.random()).toString(36);const e=this.atomIdsSettings.seed.toString(36);return this.atomIdsSettings.seed+=1,e}scale(e){return e*this.effectiveFontSize}get scalingFactor(){return this.parent?this.effectiveFontSize/this.parent.effectiveFontSize:1}get isDisplayStyle(){return 7===this.mathstyle.id||6===this.mathstyle.id}get isCramped(){return this.mathstyle.cramped}get isTight(){return this.mathstyle.isTight}get effectiveFontSize(){return xe[Math.max(1,this.size+this.mathstyle.sizeDelta)]}get computedColor(){let e=this.color,t=this.parent;return!e&&t&&(e=t.color,t=t.parent),null!=e?e:""}get computedBackgroundColor(){let e=this.backgroundColor,t=this.parent;return!e&&t&&(e=t.backgroundColor,t=t.parent),null!=e?e:""}get metrics(){return this.mathstyle.metrics}}const Te={overrightarrow:[["rightarrow"],.888,522,"xMaxYMin"],overleftarrow:[["leftarrow"],.888,522,"xMinYMin"],underrightarrow:[["rightarrow"],.888,522,"xMaxYMin"],underleftarrow:[["leftarrow"],.888,522,"xMinYMin"],xrightarrow:[["rightarrow"],1.469,522,"xMaxYMin"],xleftarrow:[["leftarrow"],1.469,522,"xMinYMin"],Overrightarrow:[["doublerightarrow"],.888,560,"xMaxYMin"],xRightarrow:[["doublerightarrow"],1.526,560,"xMaxYMin"],xLeftarrow:[["doubleleftarrow"],1.526,560,"xMinYMin"],overleftharpoon:[["leftharpoon"],.888,522,"xMinYMin"],xleftharpoonup:[["leftharpoon"],.888,522,"xMinYMin"],xleftharpoondown:[["leftharpoondown"],.888,522,"xMinYMin"],overrightharpoon:[["rightharpoon"],.888,522,"xMaxYMin"],xrightharpoonup:[["rightharpoon"],.888,522,"xMaxYMin"],xrightharpoondown:[["rightharpoondown"],.888,522,"xMaxYMin"],xlongequal:[["longequal"],.888,334,"xMinYMin"],xtwoheadleftarrow:[["twoheadleftarrow"],.888,334,"xMinYMin"],xtwoheadrightarrow:[["twoheadrightarrow"],.888,334,"xMaxYMin"],overleftrightarrow:[["leftarrow","rightarrow"],.888,522],overbrace:[["leftbrace","midbrace","rightbrace"],1.6,548],underbrace:[["leftbraceunder","midbraceunder","rightbraceunder"],1.6,548],underleftrightarrow:[["leftarrow","rightarrow"],.888,522],xleftrightarrow:[["leftarrow","rightarrow"],1.75,522],xLeftrightarrow:[["doubleleftarrow","doublerightarrow"],1.75,560],xrightleftharpoons:[["leftharpoondownplus","rightharpoonplus"],1.75,716],xleftrightharpoons:[["leftharpoonplus","rightharpoondownplus"],1.75,716],xhookleftarrow:[["leftarrow","righthook"],1.08,522],xhookrightarrow:[["lefthook","rightarrow"],1.08,522],overlinesegment:[["leftlinesegment","rightlinesegment"],.888,522],underlinesegment:[["leftlinesegment","rightlinesegment"],.888,522],overgroup:[["leftgroup","rightgroup"],.888,342],undergroup:[["leftgroupunder","rightgroupunder"],.888,342],xmapsto:[["leftmapsto","rightarrow"],1.5,522],xtofrom:[["leftToFrom","rightToFrom"],1.75,528],xrightleftarrows:[["baraboveleftarrow","rightarrowabovebar"],1.75,901],xrightequilibrium:[["baraboveshortleftharpoon","rightharpoonaboveshortbar"],1.75,716],xleftequilibrium:[["shortbaraboveleftharpoon","shortrightharpoonabovebar"],1.75,716]},De={widehat1:[1062,239,.24],widehat2:[2364,300,.3],widehat3:[2364,360,.36],widehat4:[2364,420,.42],widecheck1:[1062,239,.24],widecheck2:[2364,300,.3],widecheck3:[2364,360,.36],widecheck4:[2364,420,.42],widetilde1:[600,260,.26],widetilde2:[1033,286,.286],widetilde3:[2339,306,.306],widetilde4:[2340,312,.34],overarc:[1061,159,.3],underarc:[1061,159,.3]},ze={doubleleftarrow:"M262 157\nl10-10c34-36 62.7-77 86-123 3.3-8 5-13.3 5-16 0-5.3-6.7-8-20-8-7.3\n 0-12.2.5-14.5 1.5-2.3 1-4.8 4.5-7.5 10.5-49.3 97.3-121.7 169.3-217 216-28\n 14-57.3 25-88 33-6.7 2-11 3.8-13 5.5-2 1.7-3 4.2-3 7.5s1 5.8 3 7.5\nc2 1.7 6.3 3.5 13 5.5 68 17.3 128.2 47.8 180.5 91.5 52.3 43.7 93.8 96.2 124.5\n 157.5 9.3 8 15.3 12.3 18 13h6c12-.7 18-4 18-10 0-2-1.7-7-5-15-23.3-46-52-87\n-86-123l-10-10h399738v-40H218c328 0 0 0 0 0l-10-8c-26.7-20-65.7-43-117-69 2.7\n-2 6-3.7 10-5 36.7-16 72.3-37.3 107-64l10-8h399782v-40z\nm8 0v40h399730v-40zm0 194v40h399730v-40z",doublerightarrow:"M399738 392l\n-10 10c-34 36-62.7 77-86 123-3.3 8-5 13.3-5 16 0 5.3 6.7 8 20 8 7.3 0 12.2-.5\n 14.5-1.5 2.3-1 4.8-4.5 7.5-10.5 49.3-97.3 121.7-169.3 217-216 28-14 57.3-25 88\n-33 6.7-2 11-3.8 13-5.5 2-1.7 3-4.2 3-7.5s-1-5.8-3-7.5c-2-1.7-6.3-3.5-13-5.5-68\n-17.3-128.2-47.8-180.5-91.5-52.3-43.7-93.8-96.2-124.5-157.5-9.3-8-15.3-12.3-18\n-13h-6c-12 .7-18 4-18 10 0 2 1.7 7 5 15 23.3 46 52 87 86 123l10 10H0v40h399782\nc-328 0 0 0 0 0l10 8c26.7 20 65.7 43 117 69-2.7 2-6 3.7-10 5-36.7 16-72.3 37.3\n-107 64l-10 8H0v40zM0 157v40h399730v-40zm0 194v40h399730v-40z",leftarrow:"M400000 241H110l3-3c68.7-52.7 113.7-120\n 135-202 4-14.7 6-23 6-25 0-7.3-7-11-21-11-8 0-13.2.8-15.5 2.5-2.3 1.7-4.2 5.8\n-5.5 12.5-1.3 4.7-2.7 10.3-4 17-12 48.7-34.8 92-68.5 130S65.3 228.3 18 247\nc-10 4-16 7.7-18 11 0 8.7 6 14.3 18 17 47.3 18.7 87.8 47 121.5 85S196 441.3 208\n 490c.7 2 1.3 5 2 9s1.2 6.7 1.5 8c.3 1.3 1 3.3 2 6s2.2 4.5 3.5 5.5c1.3 1 3.3\n 1.8 6 2.5s6 1 10 1c14 0 21-3.7 21-11 0-2-2-10.3-6-25-20-79.3-65-146.7-135-202\n l-3-3h399890zM100 241v40h399900v-40z",leftbrace:"M6 548l-6-6v-35l6-11c56-104 135.3-181.3 238-232 57.3-28.7 117\n-45 179-50h399577v120H403c-43.3 7-81 15-113 26-100.7 33-179.7 91-237 174-2.7\n 5-6 9-10 13-.7 1-7.3 1-20 1H6z",leftbraceunder:"M0 6l6-6h17c12.688 0 19.313.3 20 1 4 4 7.313 8.3 10 13\n 35.313 51.3 80.813 93.8 136.5 127.5 55.688 33.7 117.188 55.8 184.5 66.5.688\n 0 2 .3 4 1 18.688 2.7 76 4.3 172 5h399450v120H429l-6-1c-124.688-8-235-61.7\n-331-161C60.687 138.7 32.312 99.3 7 54L0 41V6z",overarc:"M529 0c179 0 524 115 524 115 5 1 9 5 9 10 0 1-1 2-1 3l-4 22c-1 5-5 9-11 9h-2s-338-93-512-92c-174 0-513 92-513 92h-2c-5 0-9-4-11-9l-5-22c-1-6 2-12 8-13 0 0 342-115 520-115z",underarc:"m 529 160\n  c -179 0 -524 -115 -524 -115\n  c -5 -1 -9 -5 -9 -10\n  c 0 -1 1 -2 1 -3\n  l 4 -22\n  c 1 -5 5 -9 11 -9\n  h 2\n  s 338 93 512 92\n  c 174 0 513 -92 513 -92\n  h 2\n  c 5 0 9 4 11 9\n  l 5 22\n  c 1 6 -2 12 -8 13\n  c 0 0 -342 115 -520 115\n  z\n  ",leftgroup:"M400000 80\nH435C64 80 168.3 229.4 21 260c-5.9 1.2-18 0-18 0-2 0-3-1-3-3v-38C76 61 257 0\n 435 0h399565z",leftgroupunder:"M400000 262\nH435C64 262 168.3 112.6 21 82c-5.9-1.2-18 0-18 0-2 0-3 1-3 3v38c76 158 257 219\n 435 219h399565z",leftharpoon:"M0 267c.7 5.3 3 10 7 14h399993v-40H93c3.3\n-3.3 10.2-9.5 20.5-18.5s17.8-15.8 22.5-20.5c50.7-52 88-110.3 112-175 4-11.3 5\n-18.3 3-21-1.3-4-7.3-6-18-6-8 0-13 .7-15 2s-4.7 6.7-8 16c-42 98.7-107.3 174.7\n-196 228-6.7 4.7-10.7 8-12 10-1.3 2-2 5.7-2 11zm100-26v40h399900v-40z",leftharpoonplus:"M0 267c.7 5.3 3 10 7 14h399993v-40H93c3.3-3.3 10.2-9.5\n 20.5-18.5s17.8-15.8 22.5-20.5c50.7-52 88-110.3 112-175 4-11.3 5-18.3 3-21-1.3\n-4-7.3-6-18-6-8 0-13 .7-15 2s-4.7 6.7-8 16c-42 98.7-107.3 174.7-196 228-6.7 4.7\n-10.7 8-12 10-1.3 2-2 5.7-2 11zm100-26v40h399900v-40zM0 435v40h400000v-40z\nm0 0v40h400000v-40z",leftharpoondown:"M7 241c-4 4-6.333 8.667-7 14 0 5.333.667 9 2 11s5.333\n 5.333 12 10c90.667 54 156 130 196 228 3.333 10.667 6.333 16.333 9 17 2 .667 5\n 1 9 1h5c10.667 0 16.667-2 18-6 2-2.667 1-9.667-3-21-32-87.333-82.667-157.667\n-152-211l-3-3h399907v-40zM93 281 H400000 v-40L7 241z",leftharpoondownplus:"M7 435c-4 4-6.3 8.7-7 14 0 5.3.7 9 2 11s5.3 5.3 12\n 10c90.7 54 156 130 196 228 3.3 10.7 6.3 16.3 9 17 2 .7 5 1 9 1h5c10.7 0 16.7\n-2 18-6 2-2.7 1-9.7-3-21-32-87.3-82.7-157.7-152-211l-3-3h399907v-40H7zm93 0\nv40h399900v-40zM0 241v40h399900v-40zm0 0v40h399900v-40z",lefthook:"M400000 281 H103s-33-11.2-61-33.5S0 197.3 0 164s14.2-61.2 42.5\n-83.5C70.8 58.2 104 47 142 47 c16.7 0 25 6.7 25 20 0 12-8.7 18.7-26 20-40 3.3\n-68.7 15.7-86 37-10 12-15 25.3-15 40 0 22.7 9.8 40.7 29.5 54 19.7 13.3 43.5 21\n 71.5 23h399859zM103 281v-40h399897v40z",leftlinesegment:"M40 281 V428 H0 V94 H40 V241 H400000 v40z\nM40 281 V428 H0 V94 H40 V241 H400000 v40z",leftmapsto:"M40 281 V448H0V74H40V241H400000v40z\nM40 281 V448H0V74H40V241H400000v40z",leftToFrom:"M0 147h400000v40H0zm0 214c68 40 115.7 95.7 143 167h22c15.3 0 23\n-.3 23-1 0-1.3-5.3-13.7-16-37-18-35.3-41.3-69-70-101l-7-8h399905v-40H95l7-8\nc28.7-32 52-65.7 70-101 10.7-23.3 16-35.7 16-37 0-.7-7.7-1-23-1h-22C115.7 265.3\n 68 321 0 361zm0-174v-40h399900v40zm100 154v40h399900v-40z",longequal:"M0 50 h400000 v40H0z m0 194h40000v40H0z\nM0 50 h400000 v40H0z m0 194h40000v40H0z",midbrace:"M200428 334\nc-100.7-8.3-195.3-44-280-108-55.3-42-101.7-93-139-153l-9-14c-2.7 4-5.7 8.7-9 14\n-53.3 86.7-123.7 153-211 199-66.7 36-137.3 56.3-212 62H0V214h199568c178.3-11.7\n 311.7-78.3 403-201 6-8 9.7-12 11-12 .7-.7 6.7-1 18-1s17.3.3 18 1c1.3 0 5 4 11\n 12 44.7 59.3 101.3 106.3 170 141s145.3 54.3 229 60h199572v120z",midbraceunder:"M199572 214\nc100.7 8.3 195.3 44 280 108 55.3 42 101.7 93 139 153l9 14c2.7-4 5.7-8.7 9-14\n 53.3-86.7 123.7-153 211-199 66.7-36 137.3-56.3 212-62h199568v120H200432c-178.3\n 11.7-311.7 78.3-403 201-6 8-9.7 12-11 12-.7.7-6.7 1-18 1s-17.3-.3-18-1c-1.3 0\n-5-4-11-12-44.7-59.3-101.3-106.3-170-141s-145.3-54.3-229-60H0V214z",oiintSize1:"M512.6 71.6c272.6 0 320.3 106.8 320.3 178.2 0 70.8-47.7 177.6\n-320.3 177.6S193.1 320.6 193.1 249.8c0-71.4 46.9-178.2 319.5-178.2z\nm368.1 178.2c0-86.4-60.9-215.4-368.1-215.4-306.4 0-367.3 129-367.3 215.4 0 85.8\n60.9 214.8 367.3 214.8 307.2 0 368.1-129 368.1-214.8z",oiintSize2:"M757.8 100.1c384.7 0 451.1 137.6 451.1 230 0 91.3-66.4 228.8\n-451.1 228.8-386.3 0-452.7-137.5-452.7-228.8 0-92.4 66.4-230 452.7-230z\nm502.4 230c0-111.2-82.4-277.2-502.4-277.2s-504 166-504 277.2\nc0 110 84 276 504 276s502.4-166 502.4-276z",oiiintSize1:"M681.4 71.6c408.9 0 480.5 106.8 480.5 178.2 0 70.8-71.6 177.6\n-480.5 177.6S202.1 320.6 202.1 249.8c0-71.4 70.5-178.2 479.3-178.2z\nm525.8 178.2c0-86.4-86.8-215.4-525.7-215.4-437.9 0-524.7 129-524.7 215.4 0\n85.8 86.8 214.8 524.7 214.8 438.9 0 525.7-129 525.7-214.8z",oiiintSize2:"M1021.2 53c603.6 0 707.8 165.8 707.8 277.2 0 110-104.2 275.8\n-707.8 275.8-606 0-710.2-165.8-710.2-275.8C311 218.8 415.2 53 1021.2 53z\nm770.4 277.1c0-131.2-126.4-327.6-770.5-327.6S248.4 198.9 248.4 330.1\nc0 130 128.8 326.4 772.7 326.4s770.5-196.4 770.5-326.4z",rightarrow:"M0 241v40h399891c-47.3 35.3-84 78-110 128\n-16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20\n 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7\n 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85\n-40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5\n-12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67\n 151.7 139 205zm0 0v40h399900v-40z",rightbrace:"M400000 542l\n-6 6h-17c-12.7 0-19.3-.3-20-1-4-4-7.3-8.3-10-13-35.3-51.3-80.8-93.8-136.5-127.5\ns-117.2-55.8-184.5-66.5c-.7 0-2-.3-4-1-18.7-2.7-76-4.3-172-5H0V214h399571l6 1\nc124.7 8 235 61.7 331 161 31.3 33.3 59.7 72.7 85 118l7 13v35z",rightbraceunder:"M399994 0l6 6v35l-6 11c-56 104-135.3 181.3-238 232-57.3\n 28.7-117 45-179 50H-300V214h399897c43.3-7 81-15 113-26 100.7-33 179.7-91 237\n-174 2.7-5 6-9 10-13 .7-1 7.3-1 20-1h17z",rightgroup:"M0 80h399565c371 0 266.7 149.4 414 180 5.9 1.2 18 0 18 0 2 0\n 3-1 3-3v-38c-76-158-257-219-435-219H0z",rightgroupunder:"M0 262h399565c371 0 266.7-149.4 414-180 5.9-1.2 18 0 18\n 0 2 0 3 1 3 3v38c-76 158-257 219-435 219H0z",rightharpoon:"M0 241v40h399993c4.7-4.7 7-9.3 7-14 0-9.3\n-3.7-15.3-11-18-92.7-56.7-159-133.7-199-231-3.3-9.3-6-14.7-8-16-2-1.3-7-2-15-2\n-10.7 0-16.7 2-18 6-2 2.7-1 9.7 3 21 15.3 42 36.7 81.8 64 119.5 27.3 37.7 58\n 69.2 92 94.5zm0 0v40h399900v-40z",rightharpoonplus:"M0 241v40h399993c4.7-4.7 7-9.3 7-14 0-9.3-3.7-15.3-11\n-18-92.7-56.7-159-133.7-199-231-3.3-9.3-6-14.7-8-16-2-1.3-7-2-15-2-10.7 0-16.7\n 2-18 6-2 2.7-1 9.7 3 21 15.3 42 36.7 81.8 64 119.5 27.3 37.7 58 69.2 92 94.5z\nm0 0v40h399900v-40z m100 194v40h399900v-40zm0 0v40h399900v-40z",rightharpoondown:"M399747 511c0 7.3 6.7 11 20 11 8 0 13-.8 15-2.5s4.7-6.8\n 8-15.5c40-94 99.3-166.3 178-217 13.3-8 20.3-12.3 21-13 5.3-3.3 8.5-5.8 9.5\n-7.5 1-1.7 1.5-5.2 1.5-10.5s-2.3-10.3-7-15H0v40h399908c-34 25.3-64.7 57-92 95\n-27.3 38-48.7 77.7-64 119-3.3 8.7-5 14-5 16zM0 241v40h399900v-40z",rightharpoondownplus:"M399747 705c0 7.3 6.7 11 20 11 8 0 13-.8\n 15-2.5s4.7-6.8 8-15.5c40-94 99.3-166.3 178-217 13.3-8 20.3-12.3 21-13 5.3-3.3\n 8.5-5.8 9.5-7.5 1-1.7 1.5-5.2 1.5-10.5s-2.3-10.3-7-15H0v40h399908c-34 25.3\n-64.7 57-92 95-27.3 38-48.7 77.7-64 119-3.3 8.7-5 14-5 16zM0 435v40h399900v-40z\nm0-194v40h400000v-40zm0 0v40h400000v-40z",righthook:"M399859 241c-764 0 0 0 0 0 40-3.3 68.7-15.7 86-37 10-12 15-25.3\n 15-40 0-22.7-9.8-40.7-29.5-54-19.7-13.3-43.5-21-71.5-23-17.3-1.3-26-8-26-20 0\n-13.3 8.7-20 26-20 38 0 71 11.2 99 33.5 0 0 7 5.6 21 16.7 14 11.2 21 33.5 21\n 66.8s-14 61.2-42 83.5c-28 22.3-61 33.5-99 33.5L0 241z M0 281v-40h399859v40z",rightlinesegment:"M399960 241 V94 h40 V428 h-40 V281 H0 v-40z\nM399960 241 V94 h40 V428 h-40 V281 H0 v-40z",rightToFrom:"M400000 167c-70.7-42-118-97.7-142-167h-23c-15.3 0-23 .3-23\n 1 0 1.3 5.3 13.7 16 37 18 35.3 41.3 69 70 101l7 8H0v40h399905l-7 8c-28.7 32\n-52 65.7-70 101-10.7 23.3-16 35.7-16 37 0 .7 7.7 1 23 1h23c24-69.3 71.3-125 142\n-167z M100 147v40h399900v-40zM0 341v40h399900v-40z",twoheadleftarrow:"M0 167c68 40\n 115.7 95.7 143 167h22c15.3 0 23-.3 23-1 0-1.3-5.3-13.7-16-37-18-35.3-41.3-69\n-70-101l-7-8h125l9 7c50.7 39.3 85 86 103 140h46c0-4.7-6.3-18.7-19-42-18-35.3\n-40-67.3-66-96l-9-9h399716v-40H284l9-9c26-28.7 48-60.7 66-96 12.7-23.333 19\n-37.333 19-42h-46c-18 54-52.3 100.7-103 140l-9 7H95l7-8c28.7-32 52-65.7 70-101\n 10.7-23.333 16-35.7 16-37 0-.7-7.7-1-23-1h-22C115.7 71.3 68 127 0 167z",twoheadrightarrow:"M400000 167\nc-68-40-115.7-95.7-143-167h-22c-15.3 0-23 .3-23 1 0 1.3 5.3 13.7 16 37 18 35.3\n 41.3 69 70 101l7 8h-125l-9-7c-50.7-39.3-85-86-103-140h-46c0 4.7 6.3 18.7 19 42\n 18 35.3 40 67.3 66 96l9 9H0v40h399716l-9 9c-26 28.7-48 60.7-66 96-12.7 23.333\n-19 37.333-19 42h46c18-54 52.3-100.7 103-140l9-7h125l-7 8c-28.7 32-52 65.7-70\n 101-10.7 23.333-16 35.7-16 37 0 .7 7.7 1 23 1h22c27.3-71.3 75-127 143-167z",widetilde1:"M200 55.538c-77 0-168 73.953-177 73.953-3 0-7\n-2.175-9-5.437L2 97c-1-2-2-4-2-6 0-4 2-7 5-9l20-12C116 12 171 0 207 0c86 0\n 114 68 191 68 78 0 168-68 177-68 4 0 7 2 9 5l12 19c1 2.175 2 4.35 2 6.525 0\n 4.35-2 7.613-5 9.788l-19 13.05c-92 63.077-116.937 75.308-183 76.128\n-68.267.847-113-73.952-191-73.952z",widetilde2:"M344 55.266c-142 0-300.638 81.316-311.5 86.418\n-8.01 3.762-22.5 10.91-23.5 5.562L1 120c-1-2-1-3-1-4 0-5 3-9 8-10l18.4-9C160.9\n 31.9 283 0 358 0c148 0 188 122 331 122s314-97 326-97c4 0 8 2 10 7l7 21.114\nc1 2.14 1 3.21 1 4.28 0 5.347-3 9.626-7 10.696l-22.3 12.622C852.6 158.372 751\n 181.476 676 181.476c-149 0-189-126.21-332-126.21z",widetilde3:"M786 59C457 59 32 175.242 13 175.242c-6 0-10-3.457\n-11-10.37L.15 138c-1-7 3-12 10-13l19.2-6.4C378.4 40.7 634.3 0 804.3 0c337 0\n 411.8 157 746.8 157 328 0 754-112 773-112 5 0 10 3 11 9l1 14.075c1 8.066-.697\n 16.595-6.697 17.492l-21.052 7.31c-367.9 98.146-609.15 122.696-778.15 122.696\n -338 0-409-156.573-744-156.573z",widetilde4:"M786 58C457 58 32 177.487 13 177.487c-6 0-10-3.345\n-11-10.035L.15 143c-1-7 3-12 10-13l22-6.7C381.2 35 637.15 0 807.15 0c337 0 409\n 177 744 177 328 0 754-127 773-127 5 0 10 3 11 9l1 14.794c1 7.805-3 13.38-9\n 14.495l-20.7 5.574c-366.85 99.79-607.3 139.372-776.3 139.372-338 0-409\n -175.236-744-175.236z",vec:"M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5\n3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11\n10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63\n-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1\n-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59\nH213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359\nc-16-25.333-24-45-24-59z",widehat1:"M529 0h5l519 115c5 1 9 5 9 10 0 1-1 2-1 3l-4 22\nc-1 5-5 9-11 9h-2L532 67 19 159h-2c-5 0-9-4-11-9l-5-22c-1-6 2-12 8-13z",widehat2:"M1181 0h2l1171 176c6 0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 220h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z",widehat3:"M1181 0h2l1171 236c6 0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 280h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z",widehat4:"M1181 0h2l1171 296c6 0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 340h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z",widecheck1:"M529,159h5l519,-115c5,-1,9,-5,9,-10c0,-1,-1,-2,-1,-3l-4,-22c-1,\n-5,-5,-9,-11,-9h-2l-512,92l-513,-92h-2c-5,0,-9,4,-11,9l-5,22c-1,6,2,12,8,13z",widecheck2:"M1181,220h2l1171,-176c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,153l-1167,-153h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z",widecheck3:"M1181,280h2l1171,-236c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,213l-1167,-213h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z",widecheck4:"M1181,340h2l1171,-296c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,273l-1167,-273h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z",baraboveleftarrow:"M400000 620h-399890l3 -3c68.7 -52.7 113.7 -120 135 -202\nc4 -14.7 6 -23 6 -25c0 -7.3 -7 -11 -21 -11c-8 0 -13.2 0.8 -15.5 2.5\nc-2.3 1.7 -4.2 5.8 -5.5 12.5c-1.3 4.7 -2.7 10.3 -4 17c-12 48.7 -34.8 92 -68.5 130\ns-74.2 66.3 -121.5 85c-10 4 -16 7.7 -18 11c0 8.7 6 14.3 18 17c47.3 18.7 87.8 47\n121.5 85s56.5 81.3 68.5 130c0.7 2 1.3 5 2 9s1.2 6.7 1.5 8c0.3 1.3 1 3.3 2 6\ns2.2 4.5 3.5 5.5c1.3 1 3.3 1.8 6 2.5s6 1 10 1c14 0 21 -3.7 21 -11\nc0 -2 -2 -10.3 -6 -25c-20 -79.3 -65 -146.7 -135 -202l-3 -3h399890z\nM100 620v40h399900v-40z M0 241v40h399900v-40zM0 241v40h399900v-40z",rightarrowabovebar:"M0 241v40h399891c-47.3 35.3-84 78-110 128-16.7 32\n-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0\n13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39\n-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85-40.5\n-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5\n-12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67\n151.7 139 205zm96 379h399894v40H0zm0 0h399904v40H0z",baraboveshortleftharpoon:"M507,435c-4,4,-6.3,8.7,-7,14c0,5.3,0.7,9,2,11\nc1.3,2,5.3,5.3,12,10c90.7,54,156,130,196,228c3.3,10.7,6.3,16.3,9,17\nc2,0.7,5,1,9,1c0,0,5,0,5,0c10.7,0,16.7,-2,18,-6c2,-2.7,1,-9.7,-3,-21\nc-32,-87.3,-82.7,-157.7,-152,-211c0,0,-3,-3,-3,-3l399351,0l0,-40\nc-398570,0,-399437,0,-399437,0z M593 435 v40 H399500 v-40z\nM0 281 v-40 H399908 v40z M0 281 v-40 H399908 v40z",rightharpoonaboveshortbar:"M0,241 l0,40c399126,0,399993,0,399993,0\nc4.7,-4.7,7,-9.3,7,-14c0,-9.3,-3.7,-15.3,-11,-18c-92.7,-56.7,-159,-133.7,-199,\n-231c-3.3,-9.3,-6,-14.7,-8,-16c-2,-1.3,-7,-2,-15,-2c-10.7,0,-16.7,2,-18,6\nc-2,2.7,-1,9.7,3,21c15.3,42,36.7,81.8,64,119.5c27.3,37.7,58,69.2,92,94.5z\nM0 241 v40 H399908 v-40z M0 475 v-40 H399500 v40z M0 475 v-40 H399500 v40z",shortbaraboveleftharpoon:"M7,435c-4,4,-6.3,8.7,-7,14c0,5.3,0.7,9,2,11\nc1.3,2,5.3,5.3,12,10c90.7,54,156,130,196,228c3.3,10.7,6.3,16.3,9,17c2,0.7,5,1,9,\n1c0,0,5,0,5,0c10.7,0,16.7,-2,18,-6c2,-2.7,1,-9.7,-3,-21c-32,-87.3,-82.7,-157.7,\n-152,-211c0,0,-3,-3,-3,-3l399907,0l0,-40c-399126,0,-399993,0,-399993,0z\nM93 435 v40 H400000 v-40z M500 241 v40 H400000 v-40z M500 241 v40 H400000 v-40z",shortrightharpoonabovebar:"M53,241l0,40c398570,0,399437,0,399437,0\nc4.7,-4.7,7,-9.3,7,-14c0,-9.3,-3.7,-15.3,-11,-18c-92.7,-56.7,-159,-133.7,-199,\n-231c-3.3,-9.3,-6,-14.7,-8,-16c-2,-1.3,-7,-2,-15,-2c-10.7,0,-16.7,2,-18,6\nc-2,2.7,-1,9.7,3,21c15.3,42,36.7,81.8,64,119.5c27.3,37.7,58,69.2,92,94.5z\nM500 241 v40 H399408 v-40z M500 435 v40 H400000 v-40z"};class Be{constructor(e){Be._registry[e]=this}static createAtom(e,t,a,i){return Be._registry[e].createAtom(t,a,i)}static serialize(e,t){return Be._registry[e[0].mode].serialize(e,t)}static applyStyle(e,t,a){return Be._registry[e].applyStyle(t,a)}}function Ke(e,t){const a=[];let i,o=[];for(const r of e)if("first"!==r.type&&r.style){let e;"variant"===t?(e=r.style.variant,r.style.variantStyle&&"up"!==r.style.variantStyle&&(e+="-"+r.style.variantStyle)):"cssClass"===t?"group"===r.type&&(e=r.customClass):e=r.style[t],e===i?o.push(r):(o.length>0&&a.push(o),o=[r],i=e)}return o.length>0&&a.push(o),a}Be._registry={};const Ee=["","chem","mord","mbin","mop","mrel","mopen","mclose","mpunct","minner","spacing","first","latex","composition","error","placeholder","supsub","none","mathfield"],qe={mord:{mop:3,mbin:4,mrel:5,minner:3},mop:{mord:3,mop:3,rel:5,minner:3},mbin:{mord:4,mop:4,mopen:4,minner:4},mrel:{mord:5,mop:5,mopen:5,minner:5},mclose:{mop:3,mbin:4,mrel:5,minner:3},mpunct:{mord:3,mop:3,mrel:3,mopen:3,mpunct:3,minner:3},minner:{mord:3,mop:3,mbin:4,mrel:5,mopen:3,mpunct:3,minner:3}},$e={mord:{mop:3},mop:{mord:3,mop:3},mclose:{mop:3},minner:{mop:3}};function Oe(e,t){if("string"==typeof e)return e;if("number"==typeof e){const a=Math.ceil(100*e)/100;return 0===a?"0":a.toString()+(null!=t?t:"")}return""}class Ne{constructor(e,a){var i,o,r,n,s,l;if("number"==typeof e?this.value=String.fromCodePoint(e):"string"==typeof e?this.value=e:t(e)?this.children=e.filter((e=>null!==e)):e&&e instanceof Ne&&(this.children=[e]),this.type=null!==(i=null==a?void 0:a.type)&&void 0!==i?i:"",this.isSelected=!1,this.isTight=null!==(o=null==a?void 0:a.isTight)&&void 0!==o&&o,this.newList=null!==(r=null==a?void 0:a.newList)&&void 0!==r&&r,null==a?void 0:a.properties)for(const e of Object.keys(a.properties))this.setStyle(e,a.properties[e]);(null==a?void 0:a.attributes)&&(this.attributes=a.attributes),this.classes=null!==(n=null==a?void 0:a.classes)&&void 0!==n?n:"";let d=(null==a?void 0:a.fontFamily)||"Main-Regular";if((null==a?void 0:a.style)&&this.value&&(d=Be.applyStyle(null!==(s=a.mode)&&void 0!==s?s:"math",this,a.style)||"Main-Regular"),this.height=0,this.depth=0,this.skew=0,this.italic=0,this.maxFontSize=0,"latex"===this.type)this.height=.8,this.depth=.2;else if("number"==typeof e){const t=_e(e,d);this.height=t.height,this.depth=t.depth,this.skew=t.skew,this.italic=t.italic}else if(this.value){this.height=-1/0,this.depth=-1/0,this.skew=-1/0,this.italic=-1/0;for(let e=0;e<this.value.length;e++){const t=_e(this.value.codePointAt(e),d||"Main-Regular");this.height=Math.max(this.height,t.height),this.depth=Math.max(this.depth,t.depth),this.skew=t.skew,this.italic=t.italic}}else if(this.children&&this.children.length>0)if(1===this.children.length){const e=this.children[0];this.height=e.height,this.depth=e.depth,this.maxFontSize=e.maxFontSize,this.skew=e.skew,this.italic=e.italic}else{let e=-1/0,t=-1/0,a=0;for(const i of this.children)i.height>e&&(e=i.height),i.depth>t&&(t=i.depth),a=Math.max(a,null!==(l=i.maxFontSize)&&void 0!==l?l:0);this.height=e,this.depth=t,this.maxFontSize=a}void 0!==(null==a?void 0:a.height)&&(this.height=a.height),void 0!==(null==a?void 0:a.depth)&&(this.depth=a.depth),void 0!==(null==a?void 0:a.maxFontSize)&&(this.maxFontSize=a.maxFontSize)}set atomID(e){void 0!==e&&0!==e.length&&(this.attributes||(this.attributes={}),this.attributes["data-atom-id"]=e)}selected(e){if(this.isSelected!==e&&(this.isSelected=e,this.children))for(const t of this.children)t.selected(e)}setStyle(e,t,a){if(void 0===t)return;const i=Oe(t,a);i.length>0&&(this.cssProperties||(this.cssProperties={}),this.cssProperties[e]=i)}setTop(e){Number.isFinite(e)&&Math.abs(e)>.01&&(this.cssProperties||(this.cssProperties={}),this.cssProperties.top=Oe(e,"em"),this.height-=e,this.depth+=e)}get left(){var e;return(null===(e=this.cssProperties)||void 0===e?void 0:e["margin-left"])?Number.parseFloat(this.cssProperties["margin-left"]):0}set left(e){Number.isFinite(e)&&(0===e?this.cssProperties&&delete this.cssProperties["margin-left"]:(this.cssProperties||(this.cssProperties={}),this.cssProperties["margin-left"]=Oe(e,"em")))}set right(e){Number.isFinite(e)&&(0===e?this.cssProperties&&delete this.cssProperties["margin-right"]:(this.cssProperties||(this.cssProperties={}),this.cssProperties["margin-right"]=Oe(e,"em")))}set width(e){Number.isFinite(e)&&(0===e?this.cssProperties&&delete this.cssProperties.width:(this.cssProperties||(this.cssProperties={}),this.cssProperties.width=Oe(e,"em")))}wrap(e,t){const a=e.parent;if(!a)return this;e.isPhantom&&this.setStyle("opacity",0);let i=e.computedColor;i===a.computedColor&&(i=""),this.setStyle("color",i);const o=e.effectiveFontSize===a.effectiveFontSize?void 0:e.effectiveFontSize;let r,n=e.computedBackgroundColor;if(this.isSelected&&(n=k(n)),n===a.computedBackgroundColor&&(n=""),!(o||n||t&&(t.classes||t.type)))return this;n?(r=He(this,t),r.selected(this.isSelected),r.setStyle("background-color",n),r.setStyle("display","inline-block")):r=new Ne(this,t);const s=e.scalingFactor;return 1!==s&&(r.setStyle("font-size",100*s,"%"),r.height*=s,r.depth*=s,r.italic*=s,r.skew*=s),r}wrapSelect(e){if(!this.isSelected)return this;if(!e.parent)return this;const t=k(e.computedBackgroundColor),a=He(this);return a.selected(!0),a.setStyle("background-color",t),a.setStyle("display","inline-block"),a}toMarkup(){var e,t,a;let i=null!==(e=this.value)&&void 0!==e?e:"";if(this.children)for(const e of this.children)i+=e.toMarkup();const o=this.classes.split(" ");o.push(null!==(t={latex:"ML__latex",placeholder:"ML__placeholder",error:"ML__error"}[this.type])&&void 0!==t?t:""),"latex"===this.caret&&o.push("ML__latex-caret");const r=1===o.length?o[0]:o.filter(((e,t,a)=>e.length>0&&a.indexOf(e)===t)).join(" ");let n="";if(i.length>0&&"\u200b"!==i||r.length>0||this.cssId||this.htmlData||this.htmlStyle||this.attributes||this.cssProperties||this.svgBody||this.svgOverlay){let e="";if(this.cssId&&(e+=` id=${this.cssId.replace(/ /g,"-")} `),this.htmlData){const t=this.htmlData.split(",");for(const a of t){const t=a.match(/([^=]+)=(.+$)/);if(t){const a=t[1].trim().replace(/ /g,"-");a&&(e+=` data-${a}=${t[2]} `)}else{const t=a.trim().replace(/ /g,"-");t&&(e+=` data-${t} `)}}}if(this.htmlStyle){const t=this.htmlStyle.split(";");let a="";for(const e of t){const t=e.match(/([^=]+):(.+$)/);if(t){const e=t[1].trim().replace(/ /g,"-");e&&(a+=`${e}:${t[2]};`)}}a&&(e+=` style="${a}"`)}if(this.attributes&&(e+=" "+Object.keys(this.attributes).map((e=>`${e}="${this.attributes[e]}"`)).join(" ")),r.length>0&&(e+=` class="${r}"`),this.cssProperties){const t=Object.keys(this.cssProperties).map((e=>`${e}:${this.cssProperties[e]}`)).join(";");t.length>0&&(e+=` style="${t}"`)}let t="";this.svgBody?t=function(e){if(De[e]){const[t,a,i]=De[e];return`<span style="display:inline-block;height:${i/2}em;min-width:0"><span class="stretchy" style="height:${i}em"><svg width="100%" height="${i}em" viewBox="0 0 ${t} ${a}" preserveAspectRatio="none" ><path fill="currentcolor" d="${ze[e]}"></path></svg></span></span>`}const[t,a,i,o]=Te[e];let r,n;const s=i/1e3;3===t.length?(r=["slice-1-of-3","slice-2-of-3","slice-3-of-3"],n=["xMinYMin","xMidYMin","xMaxYMin"]):2===t.length?(r=["slice-1-of-2","slice-2-of-2"],n=["xMinYMin","xMaxYMin"]):(r=["slice-1-of-1"],n=[o]);const l=t.map(((e,t)=>`<span class="${r[t]}" style=height:${s}em><svg width=400em height=${s}em viewBox="0 0 400000 ${i}" preserveAspectRatio="${n[t]} slice"><path fill="currentcolor" d="${ze[e]}"></path></svg></span>`)).join("");return`<span style="display:inline-block;height:${s}em;min-width:${a}em;">${l}</span>`}(this.svgBody):this.svgOverlay&&(t='<span style="',t+="display: inline-block;",t+=`height:${this.height+this.depth}em;`,t+=`vertical-align:${this.depth}em;`,t+='">',t+=i,t+="</span>",t+='<svg style="position:absolute;overflow:overlay;',t+=`height:${this.height+this.depth}em;`,(null===(a=this.cssProperties)||void 0===a?void 0:a.padding)?(t+=`top:${this.cssProperties.padding}em;`,t+=`left:${this.cssProperties.padding}em;`,t+=`width:calc(100% - 2 * ${this.cssProperties.padding}em );`):t+="top:0;left:0;width:100%;",t+="z-index:2;",t+='"',this.svgStyle&&(t+=` style="${this.svgStyle}"`),t+=`>${this.svgOverlay}</svg>`),n=`<span${e}>${i}${t}</span>`}return"text"===this.caret?n+='<span class="ML__text-caret"></span>':"math"===this.caret&&(n+='<span class="ML__caret"></span>'),n}tryCoalesceWith(e){if(this.type!==e.type)return!1;if(!/ML__text/.test(this.classes)&&!["mord","mbin","mrel"].includes(this.type))return!1;if(this.svgBody||!this.value)return!1;if(e.svgBody||!e.value)return!1;const t=this.children&&this.children.length>0,a=e.children&&e.children.length>0;if(t||a)return!1;const i=this.cssProperties?Object.keys(this.cssProperties).length:0;if(i!==(e.cssProperties?Object.keys(e.cssProperties).length:0))return!1;if(i>0)for(const t of Object.keys(this.cssProperties))if(this.cssProperties[t]!==e.cssProperties[t])return!1;const o=this.classes.trim().replace(/\s+/g," ").split(" "),r=e.classes.trim().replace(/\s+/g," ").split(" ");if(o.length!==r.length)return!1;o.sort(),r.sort();for(const[e,t]of o.entries()){if("vertical-separator"===t)return!1;if(t!==r[e])return!1}return this.value+=e.value,this.height=Math.max(this.height,e.height),this.depth=Math.max(this.depth,e.depth),this.maxFontSize=Math.max(this.maxFontSize,e.maxFontSize),this.italic=e.italic,!0}}function Fe(e){if(!e||0===e.length)return[];e[0].children=Fe(e[0].children);const t=[e[0]];for(let a=1;a<e.length;a++)t[t.length-1].tryCoalesceWith(e[a])||(e[a].children=Fe(e[a].children),t.push(e[a]));return t}function Pe(e){return e.children&&(e.children=Fe(e.children)),e}function Re(e,t,a){t.newList&&(e=null);const i=t.type;if("first"===i)return null;if("spacing"===i)return e;if(a(e,t),t.children){let o=null;void 0!==i&&0!==i.length||(o=e);for(const e of t.children)o=Re(o,e,a);void 0!==i&&0!==i.length||(e=o)}return"supsub"!==i&&void 0!==i&&i.length>0&&(e=t),e}function Ie(e,t){e&&Re(null,e,t)}function Ve(e,t=1){return function(e){Ie(e,((e,t)=>{"mbin"!==t.type||e&&!/first|none|mbin|mop|mrel|mopen|mpunct/.test(e.type)||(t.type="mord"),e&&"mbin"===e.type&&/mrel|mclose|mpunct|placeholder/.test(t.type)&&(e.type="mord")}))}(e),function(e,t){Ie(e,((e,a)=>{var i,o,r,n;const s=null!==(i=null==e?void 0:e.type)&&void 0!==i?i:"none",l=a.isTight?null!==(o=$e[s])&&void 0!==o?o:null:null!==(r=qe[s])&&void 0!==r?r:null,d=l&&null!==(n=l[a.type])&&void 0!==n?n:0;d&&(a.left+=t*(d/18))}))}(e,t),e}function He(e,t){if(!e)return new Ne(null,t);const a=new Ne(null,{classes:"ML__strut"});a.setStyle("height",Math.max(0,e.height),"em");const i=[a];if(0!==e.depth){const t=new Ne(null,{classes:"ML__strut--bottom"});t.setStyle("height",e.height+e.depth,"em"),t.setStyle("vertical-align",-e.depth,"em"),i.push(t)}return i.push(e),new Ne(i,t)}function je(e){const t=function(e){return Te[e]?Te[e][2]/1e3:De[e][2]}(e)/2,a=new Ne(null,{height:t+.166,depth:t-.166,maxFontSize:0});return a.svgBody=e,a}class We extends Ne{constructor(e,t){var a;const[i,o,r]=function(e){var t;const[a,i]=function(e){if("individualShift"in e){const t=e.individualShift;let a=t[0];const i=[a],o=-a.shift-a.box.depth;let r=o;for(let e=1;e<t.length;e++){const o=t[e],n=-o.shift-r-o.box.depth,s=n-(a.box.height+a.box.depth);r+=n,i.push(s),i.push(o),a=o}return[i,o]}if("top"in e){let t=e.top;for(const a of e.children)t-="number"==typeof a?a:a.box.height+a.box.depth;return[e.children,t]}if("bottom"in e)return[e.children,-e.bottom];if("firstBaseline"in e){const t=e.firstBaseline[0];if("number"==typeof t)throw new Error("First child must be an element.");return[e.firstBaseline,-t.box.depth]}if("shift"in e){const t=e.children[0];if("number"==typeof t)throw new Error("First child must be an element.");return[e.children,-t.box.depth-e.shift]}return[null,0]}(e);if(!a)return[[],0,0];let o=0;for(const e of a)if("number"!=typeof e){const t=e.box;o=Math.max(o,t.maxFontSize,t.height)}o+=2;const r=new Ne(null,{classes:"pstrut"});r.setStyle("height",o,"em");const n=[];let s=i,l=i,d=i;for(const e of a){if("number"==typeof e)d+=e;else{const a=e.box,i=null!==(t=e.classes)&&void 0!==t?t:[],s=new Ne([r,a],{classes:i.join(" "),style:e.style});s.setStyle("top",-o-d-a.depth,"em"),e.marginLeft&&s.setStyle("margin-left",e.marginLeft,"em"),e.marginRight&&s.setStyle("margin-right",e.marginRight,"em"),n.push(s),d+=a.height+a.depth}s=Math.min(s,d),l=Math.max(l,d)}const c=new Ne(n,{classes:"vlist"});if(c.setStyle("height",l,"em"),s>=0)return[[new Ne(c,{classes:"vlist-r"})],l,-s];const u=new Ne(new Ne(null),{classes:"vlist"});u.setStyle("height",-s,"em");const p=new Ne(8203,{classes:"vlist-s",maxFontSize:0,height:0,depth:0});return[[new Ne([c,p],{classes:"vlist-r"}),new Ne(u,{classes:"vlist-r"})],l,-s]}(e);super(1===i.length?i[0]:i,{classes:(null!==(a=null==t?void 0:t.classes)&&void 0!==a?a:"")+" vlist-t"+(2===i.length?" vlist-t2":""),height:o,depth:r,type:null==t?void 0:t.type})}}const Je=8205,Ue=[[Je,1],[65038,2],[127995,5],[129456,4],[917536,96]];let Xe;const Ge=[127462,127487];function Ze(e){var t;if(void 0===Xe){Xe={};for(const e of Ue)for(let t=e[0];t<=e[0]+e[1]-1;t++)Xe[t]=!0}return null!==(t=Xe[e])&&void 0!==t&&t}function Ye(e){return e>=Ge[0]&&e<=Ge[1]}function Qe(e){if(/^[\u0020-\u00FF]*$/.test(e))return e;const t=[],a=function(e){const t=[];for(let a=0;a<e.length;a++){let i=e.charCodeAt(a);if(13===i&&10===e.charCodeAt(a+1)&&(i=10,a++),13!==i&&12!==i||(i=10),0===i&&(i=65533),i>=55296&&i<=56319){const t=e.charCodeAt(a+1);t>=56320&&t<=57343&&(i=65536+1024*(i-55296)+(t-56320),a++)}t.push(i)}return t}(e);let i=0;for(;i<a.length;){const e=a[i++],o=a[i];if(o===Je){const e=i-1;for(i+=2;a[i]===Je;)i+=2;t.push(String.fromCodePoint(...a.slice(e,i-e+1)))}else if(Ze(o)){const e=i-1;for(;Ze(a[i]);)i+=a[i]===Je?2:1;t.push(String.fromCodePoint(...a.slice(e,2*i-e-1)))}else Ye(e)?(i+=1,t.push(String.fromCodePoint(...a.slice(i-2,2)))):t.push(String.fromCodePoint(e))}return t}class et{constructor(e){this.s=Qe(e),this.pos=0,this.obeyspaces=!1}end(){return this.pos>=this.s.length}get(){return this.pos<this.s.length?this.s[this.pos++]:""}peek(){return this.s[this.pos]}match(e){const t="string"==typeof this.s?e.exec(this.s.slice(this.pos)):e.exec(this.s.slice(this.pos).join(""));return(null==t?void 0:t[0])?(this.pos+=t[0].length,t[0]):""}next(){if(this.end())return null;if(!this.obeyspaces&&this.match(/^[ \f\n\r\t\v\u00A0\u2028\u2029]+/))return"<space>";if(this.obeyspaces&&this.match(/^[ \f\n\r\t\v\u00A0\u2028\u2029]/))return"<space>";const e=this.get();if("\\"===e){if(!this.end()){let e=this.match(/^[a-zA-Z\*]+/);if(e)this.match(/^[ \f\n\r\t\v\u00A0\u2028\u2029]*/);else if(e=this.get()," "===e)return"<space>";return"\\"+e}}else{if("{"===e)return"<{>";if("}"===e)return"<}>";if("^"===e){if("^"===this.peek()){this.get();const e=this.match(/^(\^(\^(\^(\^[\da-f])?[\da-f])?[\da-f])?[\da-f])?[\da-f]{2}/);if(e)return String.fromCodePoint(Number.parseInt(e.slice(e.lastIndexOf("^")+1),16))}return e}if("#"===e){if(!this.end()){let e=!1;if(/[\d?@]/.test(this.peek())&&(e=!0,this.pos+1<this.s.length)){const t=this.s[this.pos+1];e=/[^\dA-Za-z]/.test(t)}return e?"#"+this.get():"#"}}else if("$"===e)return"$"===this.peek()?(this.get(),"<$$>"):"<$>"}return e}}function tt(e,t){var a,i,o,r;const n=[];let s=e.next();if(s)if("\\relax"===s);else if("\\noexpand"===s)s=e.next(),s&&n.push(s);else if("\\obeyspaces"===s)e.obeyspaces=!0;else if("\\space"===s||"~"===s)n.push("<space>");else if("\\bgroup"===s)n.push("<{>");else if("\\egroup"===s)n.push("<}>");else if("\\string"===s){if(s=e.next(),s)if(s.startsWith("\\"))for(const e of s)n.push("\\"===e?"\\backslash":e);else"<{>"===s?n.push("\\{"):"<space>"===s?n.push("~"):"<}>"===s&&n.push("\\}")}else if("\\csname"===s){for(;"<space>"===e.peek();)e.next();let o="",r=!1,l=[];do{if(0===l.length)if(/^#[\d?@]$/.test(e.peek())){const o=e.get().slice(1);l=at(null!==(i=null!==(a=null==t?void 0:t(o))&&void 0!==a?a:null==t?void 0:t("?"))&&void 0!==i?i:"\\placeholder{}",t),s=l[0]}else s=e.next(),l=s?[s]:[];r=0===l.length,r||"\\endcsname"!==s||(r=!0,l.shift()),r||(r="<$>"===s||"<$$>"===s||"<{>"===s||"<}>"===s||"string"==typeof s&&s.length>1&&s.startsWith("\\")),r||(o+=l.shift())}while(!r);o&&n.push("\\"+o),n.push(...l)}else if("\\endcsname"===s);else if(s.length>1&&s.startsWith("#")){const e=s.slice(1);n.push(...at(null!==(r=null!==(o=null==t?void 0:t(e))&&void 0!==o?o:null==t?void 0:t("?"))&&void 0!==r?r:"\\placeholder{}",t))}else n.push(s);return n}function at(e,t=null){const a=[];let i="";for(const t of e.toString().split(/\r?\n/)){i&&a.push(i),i=" ";const e=t.match(/((?:\\%)|[^%])*/);null!==e&&a.push(e[0])}const o=new et(a.join("")),r=[];do{r.push(...tt(o,t))}while(!o.end());return r}function it(e){let t="";const a=[];for(const i of e)i&&(/[a-zA-Z\*]/.test(i[0])&&a.push(t),a.push(i),/\\[a-zA-Z]+\*?[\"\'][^\ ]+$/.test(i)&&a.push(" "),t=/\\[a-zA-Z]+\*?$/.test(i)?" ":"");return a.join("")}function ot(e){return it(e.map((e=>{var t;return null!==(t={"<space>":" ","<$$>":"$$","<$>":"$","<{>":"{","<}>":"}"}[e])&&void 0!==t?t:e})))}class rt extends Ne{constructor(e,t,a){super(null,a),this.mathfield=t,this.htmlData=`placeholder-id=${e} `;const i=function(e){return He(Ve(e.model.root.render(new Ae({registers:e.registers},{fontSize:5,letterShapeStyle:e.options.letterShapeStyle},"inline-math"===e.options.defaultMode?"textstyle":"displaystyle")),e.options.horizontalSpacingScale),{classes:"ML__mathlive",attributes:{translate:"no","aria-hidden":"true"}})}(t._mathfield);this.height=i.height,this.depth=i.depth}toMarkup(){const e=[],t=this.classes.split(" "),a=1===t.length?t[0]:t.filter(((e,t,a)=>e.length>0&&a.indexOf(e)===t)).join(" ");if(this.cssId&&e.push(`id=${this.cssId.replace(/ /g,"-")}`),this.htmlData){const t=this.htmlData.split(",");for(const a of t){const t=a.match(/([^=]+)=(.+$)/);if(t){const a=t[1].trim().replace(/ /g,"-");a&&e.push(`data-${a}=${t[2]}`)}else{const t=a.trim().replace(/ /g,"-");t&&e.push(`data-${t}`)}}}if(this.htmlStyle){const t=this.htmlStyle.split(";");let a="";for(const e of t){const t=e.match(/([^=]+):(.+$)/);if(t){const e=t[1].trim().replace(/ /g,"-");e&&(a+=`${e}:${t[2]};`)}}a&&e.push(`style="${a}"`)}this.attributes&&e.push(...Object.keys(this.attributes).map((e=>`${e}="${this.attributes[e]}"`))),a.length>0&&e.push(`class="${a}"`);const i=this.mathfield;return e.push(`style="display:inline-block; width:${i.clientWidth}px; height:${i.clientHeight}px;" `),`<span ${e.join(" ")}></span>`}}const nt=["above","body","below","superscript","subscript"];function st(e){return"string"==typeof e&&nt.includes(e)}function lt(e){return void 0!==e&&Array.isArray(e)&&2===e.length}class dt{constructor(e,t,a){var i,o,r,n,s,l;this.id=void 0,this.verbatimLatex=void 0,this._isDirty=!1,this._changeCounter=0,this.subsupPlacement=void 0,this.explicitSubsupPlacement=!1,this.skipBoundary=!1,this.captureSelection=!1,this.type=e,this.context=t,"string"==typeof(null==a?void 0:a.value)&&(this.value=a.value),this.command=null!==(o=null!==(i=null==a?void 0:a.command)&&void 0!==i?i:this.value)&&void 0!==o?o:"",this.mode=null!==(r=null==a?void 0:a.mode)&&void 0!==r?r:"math",this.isFunction=null!==(n=null==a?void 0:a.isFunction)&&void 0!==n&&n,this.subsupPlacement=null==a?void 0:a.limits,this.style=null!==(s=null==a?void 0:a.style)&&void 0!==s?s:{},this.displayContainsHighlight=null!==(l=null==a?void 0:a.displayContainsHighlight)&&void 0!==l&&l,(null==a?void 0:a.serialize)&&(dt.customSerializer[a.command]=a.serialize)}static createBox(e,t,a){var i,o,r;if(!t)return null;const n=function(e){let t;const a=[];let i=[];for(const o of e)if(t||o.style){const e=o.computedStyle;t&&e.color===t.color&&e.backgroundColor===t.backgroundColor&&e.fontSize===t.fontSize?i.push(o):(i.length>0&&a.push(i),i=[o],t=e)}else i.push(o);return i.length>0&&a.push(i),a}(t);if(1===n.length){const t=n[0];return t[0].style?ut(e,t,{...a,style:{color:t[0].style.color,backgroundColor:t[0].style.backgroundColor,fontSize:t[0].style.fontSize}}):ut(e,t,a)}const s=[];let l=null==a?void 0:a.newList;for(const t of n){const a=ut(new Ae(e,{color:null===(i=t[0].style)||void 0===i?void 0:i.color,backgroundColor:null===(o=t[0].style)||void 0===o?void 0:o.backgroundColor,fontSize:null===(r=t[0].style)||void 0===r?void 0:r.fontSize}),t,{newList:l});a&&(l=!1,s.push(a))}return 0===s.length?null:1!==s.length||(null==a?void 0:a.classes)||(null==a?void 0:a.type)?new Ne(s,{classes:null==a?void 0:a.classes,type:null==a?void 0:a.type,newList:null==a?void 0:a.newList}).wrap(e):s[0].wrap(e)}static serialize(e,a){return t(e)?ct(e,a):"number"==typeof e||"boolean"==typeof e?e.toString():"string"==typeof e?e.replace(/\s/g,"~"):void 0===e?"":a.expandMacro||"string"!=typeof e.verbatimLatex?e.command&&dt.customSerializer[e.command]?dt.customSerializer[e.command](e,a):e.serialize(a):e.verbatimLatex}static commonAncestor(e,t){if(e===t)return e.parent;if(e.parent===t.parent)return e.parent;const a=new WeakSet;let{parent:i}=e;for(;i;)a.add(i),i=i.parent;for(i=t.parent;i;){if(a.has(i))return i;i=i.parent}}static fromJson(e,t){const a=new dt(e.type,t,e);for(const t of nt)e[t]&&a.setChildren(e[t],t);return a}toJson(){const e={type:this.type};if("math"!==this.mode&&(e.mode=this.mode),this.command&&this.command!==this.value&&(e.command=this.command),void 0!==this.value&&(e.value=this.value),this.style&&Object.keys(this.style).length>0&&(e.style={...this.style}),void 0!==this.verbatimLatex&&(e.verbatimLatex=this.verbatimLatex),this.subsupPlacement&&(e.subsupPlacement=this.subsupPlacement),this.explicitSubsupPlacement&&(e.explicitSubsupPlacement=!0),this.isFunction&&(e.isFunction=!0),this.displayContainsHighlight&&(e.displayContainsHighlight=!0),this.isExtensibleSymbol&&(e.isExtensibleSymbol=!0),this.skipBoundary&&(e.skipBoundary=!0),this.captureSelection&&(e.captureSelection=!0),this._branches)for(const t of Object.keys(this._branches))this._branches[t]&&(e[t]=this._branches[t].filter((e=>"first"!==e.type)).map((e=>e.toJson())));return e}get changeCounter(){return this._changeCounter}get isDirty(){return this._isDirty}set isDirty(e){if(this._isDirty=e,e){this._changeCounter++,this.verbatimLatex=void 0,this._children=void 0;let{parent:e}=this;for(;e;)e._isDirty=!0,e._changeCounter++,e.verbatimLatex=void 0,e._children=void 0,e=e.parent}}serialize(e){var t;return this.body&&this.command?it([this.command,"{",this.bodyToLatex(e),"}",this.supsubToLatex(e)]):this.body?it([this.bodyToLatex(e),this.supsubToLatex(e)]):this.value&&"\u200b"!==this.value?null!==(t=this.command)&&void 0!==t?t:function(e,t){var a;if("text"===e)return null!==(a=K(e,t.codePointAt(0)))&&void 0!==a?a:t;let i;if(i=K(e,t.codePointAt(0)),i)return i;const o=function(e){var t;if((e<119808||e>120831)&&(e<8448||e>8527))return{char:String.fromCodePoint(e)};for(const a in E)if(E[a]===e){e=null!==(t=a.codePointAt(0))&&void 0!==t?t:0;break}for(const t of q)if(e>=t.start&&e<t.start+t.len)return{char:String.fromCodePoint(e-t.start+t.offset),variant:t.variant,style:t.style};return{char:String.fromCodePoint(e)}}(t.codePointAt(0));return o.style||o.variant?(i=o.char,o.variant&&(i="\\"+o.variant+"{"+i+"}"),"bold"===o.style?i="\\mathbf{"+i+"}":"italic"===o.style?i="\\mathit{"+i+"}":"bolditalic"===o.style&&(i="\\mathbfit{"+i+"}"),"\\mathord{"+i+"}"):""}(this.mode,this.value):""}bodyToLatex(e){return ct(this.body,e)}aboveToLatex(e){return ct(this.above,e)}belowToLatex(e){return ct(this.below,e)}supsubToLatex(e){let t="";if(void 0!==this.branch("subscript")){const a=ct(this.subscript,e);0===a.length?t+="_{}":1===a.length?t+="_"+a:t+=`_{${a}}`}if(void 0!==this.branch("superscript")){const a=ct(this.superscript,e);0===a.length?t+="^{}":1===a.length?t+="\u2032"===a?"^\\prime ":"\u2033"===a?"^\\doubleprime ":"^"+a:t+=`^{${a}}`}return t}get treeDepth(){let e=1,t=this.parent;for(;t;)t=t.parent,e+=1;return e}get inCaptureSelection(){let e=!1,t=this;for(;t;){if(t.captureSelection){e=!0;break}t=t.parent}return e}branch(e){if(st(e)&&this._branches)return this._branches[e]}get branches(){if(!this._branches)return[];const e=[];for(const t of nt)this._branches[t]&&e.push(t);return e}createBranch(e){return st(e)?(this._branches?this._branches[e]||(this._branches[e]=[this.makeFirstAtom(e)]):this._branches={[e]:[this.makeFirstAtom(e)]},this.isDirty=!0,this._branches[e]):[]}get row(){return lt(this.treeBranch)?this.treeBranch[0]:-1}get col(){return lt(this.treeBranch)?this.treeBranch[1]:-1}get body(){var e;return null===(e=this._branches)||void 0===e?void 0:e.body}set body(e){this.setChildren(e,"body")}get superscript(){var e;return null===(e=this._branches)||void 0===e?void 0:e.superscript}set superscript(e){this.setChildren(e,"superscript")}get subscript(){var e;return null===(e=this._branches)||void 0===e?void 0:e.subscript}set subscript(e){this.setChildren(e,"subscript")}get above(){var e;return null===(e=this._branches)||void 0===e?void 0:e.above}set above(e){this.setChildren(e,"above")}get below(){var e;return null===(e=this._branches)||void 0===e?void 0:e.below}set below(e){this.setChildren(e,"below")}get computedStyle(){var e;if(!this.parent)return{...null!==(e=this.style)&&void 0!==e?e:{}};const t=void 0!==this.style.verbatimColor,a=void 0!==this.style.verbatimBackgroundColor,i={...this.parent.computedStyle,...this.style};return delete i.variant,delete i.variantStyle,a||delete i.verbatimBackgroundColor,t||delete i.verbatimColor,i}applyStyle(e){this.isDirty=!0,this.style={...this.style,...e},"none"===this.style.fontFamily&&delete this.style.fontFamily,"auto"===this.style.fontShape&&delete this.style.fontShape,"auto"===this.style.fontSeries&&delete this.style.fontSeries,"none"===this.style.color&&(delete this.style.color,delete this.style.verbatimColor),"none"===this.style.backgroundColor&&(delete this.style.backgroundColor,delete this.style.verbatimBackgroundColor),"auto"===this.style.fontSize&&delete this.style.fontSize;for(const t of this.children)t.applyStyle(e)}getInitialBaseElement(){let e;return this.hasEmptyBranch("body")||(e=this.body[1].getInitialBaseElement()),null!=e?e:this}getFinalBaseElement(){return this.hasEmptyBranch("body")?this:this.body[this.body.length-1].getFinalBaseElement()}isCharacterBox(){if("leftright"===this.type)return!1;const e=this.getInitialBaseElement();return/mord/.test(e.type)}hasEmptyBranch(e){const t=this.branch(e);return!t||1===t.length}setChildren(e,t){if(!e)return;if(!st(t))return;const a=[this.makeFirstAtom(t),...e];this._branches?this._branches[t]=a:this._branches={[t]:a};for(const a of e)a.parent=this,a.treeBranch=t;this.isDirty=!0}makeFirstAtom(e){const t=new dt("first",this.context,{mode:this.mode});return t.parent=this,t.treeBranch=e,t}addChild(e,t){this.createBranch(t).push(e),this.isDirty=!0,e.parent=this,e.treeBranch=t}addChildBefore(e,t){const a=this.createBranch(t.treeBranch);a.splice(a.indexOf(t),0,e),this.isDirty=!0,e.parent=this,e.treeBranch=t.treeBranch}addChildAfter(e,t){const a=this.createBranch(t.treeBranch);a.splice(a.indexOf(t)+1,0,e),this.isDirty=!0,e.parent=this,e.treeBranch=t.treeBranch}addChildren(e,t){for(const a of e)this.addChild(a,t)}addChildrenAfter(e,t){const a=this.createBranch(t.treeBranch);a.splice(a.indexOf(t)+1,0,...e),this.isDirty=!0;for(const a of e)a.parent=this,a.treeBranch=t.treeBranch;return e[e.length-1]}removeBranch(e){const t=this.branch(e);if(st(e)&&(this._branches[e]=void 0),!t)return[];for(const e of t)e.parent=void 0,e.treeBranch=void 0;return t.shift(),this.isDirty=!0,t}removeChild(e){if("first"===e.type)return;const t=this.branch(e.treeBranch),a=t.indexOf(e);t.splice(a,1),this.isDirty=!0,e.parent=void 0,e.treeBranch=void 0}get siblings(){return"root"===this.type?[]:this.parent.branch(this.treeBranch)}get firstSibling(){return this.siblings[0]}get lastSibling(){const{siblings:e}=this;return e[e.length-1]}get isFirstSibling(){return this===this.firstSibling}get isLastSibling(){return this===this.lastSibling}get hasNoSiblings(){return 1===this.siblings.length}get leftSibling(){const e=this.parent.branch(this.treeBranch);return e[e.indexOf(this)-1]}get rightSibling(){const e=this.parent.branch(this.treeBranch);return e[e.indexOf(this)+1]}get hasChildren(){return Boolean(this._branches&&this.children.length>0)}get firstChild(){return this.children[0]}get lastChild(){const{children:e}=this;return e[e.length-1]}get children(){if(this._children)return this._children;if(!this._branches)return[];const e=[];for(const t of nt)if(this._branches[t])for(const a of this._branches[t])e.push(...a.children),e.push(a);return this._children=e,e}render(e,t){if("first"===this.type&&!e.atomIdsSettings)return null;const a=new Ae(e,this.style);let i="";"root"===this.type&&(i+=" ML__base"),this.isSelected&&(i+=" ML__selected");let o=this.createBox(a,{classes:i,newList:!0===(null==t?void 0:t.newList)||"first"===this.type});return o?(this.subsupPlacement||!this.superscript&&!this.subscript||(o=this.attachSupsub(a,{base:o})),o.wrap(a)):null}attachSupsub(e,t){var a,i;const o=t.base,r=this.superscript,n=this.subscript;if(!r&&!n)return o;let s=null,l=null;const d=null!==(a=t.isCharacterBox)&&void 0!==a?a:this.isCharacterBox();let c=0;if(r){const t=new Ae(e,void 0,"superscript");s=dt.createBox(t,r,{newList:!0}),d||(c=o.height-e.metrics.supDrop*t.scalingFactor)}let u,p=0;if(n){const t=new Ae(e,void 0,"subscript");l=dt.createBox(t,n,{newList:!0}),d||(p=o.depth+e.metrics.subDrop*t.scalingFactor)}u=e.isDisplayStyle?e.metrics.sup1:e.isCramped?e.metrics.sup3:e.metrics.sup2;const h=.05/e.scalingFactor;let m=null;if(l&&s){c=Math.max(c,u,s.depth+.25*e.metrics.xHeight),p=Math.max(p,e.metrics.sub2);const t=e.metrics.defaultRuleThickness;if(c-s.depth-(l.height-p)<4*t){p=4*t-(c-s.depth)+l.height;const a=.8*e.metrics.xHeight-(c-s.depth);a>0&&(c+=a,p-=a)}const a=this.isExtensibleSymbol&&o.italic?-o.italic:0;m=new We({individualShift:[{box:l,shift:p,marginLeft:a},{box:s,shift:-c}]}).wrap(e)}else l&&!s?(p=Math.max(p,e.metrics.sub1,l.height-.3448),m=new We({shift:p,children:[{box:l,marginRight:h,marginLeft:this.isCharacterBox()?-(null!==(i=o.italic)&&void 0!==i?i:0):0}]})):!l&&s&&(c=Math.max(c,u,s.depth+.10775),m=new We({shift:-c,children:[{box:s,marginRight:h}]}),m.wrap(e));const f=new Ne(m,{classes:"msubsup"+(this.isSelected?" ML__selected":"")});return this.caret&&(f.caret=this.caret),new Ne([o,f],{type:t.type})}attachLimits(e,t){var a;const i=this.superscript?dt.createBox(new Ae(e,this.style,"superscript"),this.superscript,{newList:!0}):null,o=this.subscript?dt.createBox(new Ae(e,this.style,"subscript"),this.subscript,{newList:!0}):null;return i||o?function(e,t){var a,i,o,r,n;const s=e.metrics,l=new Ne(t.base),d=null!==(a=t.baseShift)&&void 0!==a?a:0,c=null!==(i=t.slant)&&void 0!==i?i:0;let u=0,p=0;t.above&&(u=null!==(o=t.aboveShift)&&void 0!==o?o:Math.max(s.bigOpSpacing1,s.bigOpSpacing3-t.above.depth)),t.below&&(p=null!==(r=t.belowShift)&&void 0!==r?r:Math.max(s.bigOpSpacing2,s.bigOpSpacing4-t.below.height));let h=null;if(t.below&&t.above){const a=s.bigOpSpacing5+t.below.height+t.below.depth+p+l.depth+d;h=new We({bottom:a,children:[s.bigOpSpacing5,{box:t.below,marginLeft:-c,classes:["ML__center"]},p,{box:l,classes:["ML__center"]},u,{box:t.above,marginLeft:c,classes:["ML__center"]},s.bigOpSpacing5]}).wrap(e)}else if(t.below&&!t.above)h=new We({top:l.height-d,children:[s.bigOpSpacing5,{box:t.below,marginLeft:-c,classes:["ML__center"]},p,{box:l,classes:["ML__center"]}]}).wrap(e);else if(!t.below&&t.above){const a=l.depth+d;h=new We({bottom:a,children:[{box:l,classes:["ML__center"]},u,{box:t.above,marginLeft:c,classes:["ML__center"]},s.bigOpSpacing5]}).wrap(e)}else{const t=l.depth+d;h=new We({bottom:t,children:[{box:l},s.bigOpSpacing5]}).wrap(e)}return new Ne(h,{type:null!==(n=t.type)&&void 0!==n?n:"mop"})}(e,{...t,above:i,below:o,type:null!==(a=null==t?void 0:t.type)&&void 0!==a?a:"mop"}):t.base.wrap(e)}bind(e,t){if(!t||e.isPhantom||"\u200b"===this.value)return t;let a=this.parent;for(;a&&!a.captureSelection;)a=a.parent;return(null==a?void 0:a.captureSelection)||(this.id||(this.id=e.makeID()),t.atomID=this.id),t}createMathfieldBox(e,t,a){const i=new rt(a,t,{type:"mathfield",mode:this.mode,maxFontSize:e.scalingFactor,style:{variant:"normal",...this.style,letterShapeStyle:e.letterShapeStyle,fontSize:Math.max(1,e.size+e.mathstyle.sizeDelta)},classes:""});return e.isTight&&(i.isTight=!0),"math"===this.mode&&"main"!==this.style.variant||(i.italic=0),i.right=i.italic,this.bind(e,i),He(i,{type:"mord"})}createBox(e,t){var a,i,o,r;const n=null!==(a=this.value)&&void 0!==a?a:this.body,s=function(e){return Ee.includes(e)}(this.type)?this.type:void 0;let l=null!==(i=null==t?void 0:t.classes)&&void 0!==i?i:"";"text"===this.mode&&(l+=" ML__text");const d="string"==typeof n||void 0===n?new Ne(null!==(o=n)&&void 0!==o?o:null,{type:s,mode:this.mode,maxFontSize:e.scalingFactor,style:{variant:"normal",...this.style,letterShapeStyle:e.letterShapeStyle,fontSize:Math.max(1,e.size+e.mathstyle.sizeDelta)},classes:l,newList:null==t?void 0:t.newList}):null!==(r=dt.createBox(e,n,{type:s,mode:this.mode,style:this.style,classes:l,newList:null==t?void 0:t.newList}))&&void 0!==r?r:new Ne(null);return e.isTight&&(d.isTight=!0),"math"===this.mode&&"main"!==this.style.variant||(d.italic=0),d.right=d.italic,this.bind(e,d),this.caret&&(this.superscript||this.subscript||(d.caret=this.caret)),d}isDigit(){var e;return"mord"===this.type&&this.value?/^[\d,.]$/.test(this.value):"group"===this.type&&2===(null===(e=this.body)||void 0===e?void 0:e.length)&&"first"===this.body[0].type&&","===this.body[1].value}asDigit(){var e;return"mord"===this.type&&this.value&&/^[\d,.]$/.test(this.value)?this.value:"group"===this.type&&2===(null===(e=this.body)||void 0===e?void 0:e.length)&&"first"===this.body[0].type&&","===this.body[1].value?".":""}}function ct(e,t){if(!e||0===e.length)return"";if("first"===e[0].type){if(1===e.length)return"";e=e.slice(1)}return 0===e.length?"":it(Ke(e,"cssClass").map((e=>it(Ke(e,"color").map((e=>it(function(e){const t=[];let a=[],i="NONE";for(const o of e)"first"!==o.type&&(o.mode!==i?(a.length>0&&t.push(a),a=[o],i=o.mode):a.push(o));return a.length>0&&t.push(a),t}(e).map((e=>Be.serialize(e,t))))))))))}function ut(e,t,a){var i,o,r,n;function s(e){return"text"===e.mode}if(!t||0===t.length)return null;const l=new Ae(e,null==a?void 0:a.style),d=!l.atomIdsSettings||!l.atomIdsSettings.groupNumbers;let c,u=[],p=null!==(i=null==a?void 0:a.newList)&&void 0!==i&&i;if(1===t.length){const e=t[0],a=e.render(l,{newList:p});a&&(d&&e.isSelected&&a.selected(!0),u=[a])}else{let e="",a=!0;for(const i of t){(null===(o=l.atomIdsSettings)||void 0===o?void 0:o.groupNumbers)&&e&&(a&&i.isDigit()||!a&&s(i))&&(l.atomIdsSettings.overrideID=e);const t=i.render(l,{newList:p});l.atomIdsSettings&&(l.atomIdsSettings.overrideID=void 0),t&&(p="group"===i.type&&!i.boxType,(null===(r=l.atomIdsSettings)||void 0===r?void 0:r.groupNumbers)&&((i.isDigit()||s(i))&&(e&&a===i.isDigit()||(a=i.isDigit(),e=null!==(n=i.id)&&void 0!==n?n:"")),!e||(i.isDigit()||s(i))&&i.hasEmptyBranch("superscript")&&i.hasEmptyBranch("subscript")||(e="")),d&&i.isSelected&&t.selected(!0),u.push(t))}}return 0===u.length?null:(a||l.isTight||u.length>1?(c=new Ne(u,{isTight:l.isTight,...null!=a?a:{}}),c.isSelected=u.every((e=>e.isSelected))):c=u[0],c.wrap(l).wrap(e))}dt.customSerializer={};class pt extends dt{constructor(e,t,a,i){super("accent",a,{command:e,style:i.style}),i.accentChar?this.accent=i.accentChar:this.svgAccent=null==i?void 0:i.svgAccent,this.body=t,this.skipBoundary=!0}static fromJson(e,t){return new pt(e.command,e.body,t,{accentChar:e.accentChar,svgAccent:e.svgAccent,style:e.style})}toJson(){return{...super.toJson(),accentChar:this.accent,svgAccent:this.svgAccent}}render(e){var t;const a=new Ae(e,this.style,"cramp"),i=null!==(t=dt.createBox(a,this.body))&&void 0!==t?t:new Ne(null);let o=0;!this.hasEmptyBranch("body")&&2===this.body.length&&this.body[1].isCharacterBox()&&(o=i.skew);let r,n=Math.min(i.height,ve);if(this.svgAccent)r=je(this.svgAccent),n=a.metrics.bigOpSpacing1-n;else if(this.accent){const e=new Ne(this.accent,{fontFamily:"Main-Regular"});e.italic=0;const t=8407===this.accent?" ML__accent-vec":"";r=new Ne(new Ne(e),{classes:"ML__accent-body"+t})}r=new We({shift:0,children:[{box:new Ne(i)},-n,{box:r,marginLeft:i.left+2*o,classes:["ML__center"]}]});const s=new Ne(r,{newList:!0,type:"mord"});return this.caret&&(s.caret=this.caret),this.bind(a,s.wrap(a)),this.attachSupsub(a,{base:s})}}const ht={"(":")","{":"}","[":"]","|":"|","\\lbrace":"\\rbrace","\\lparen":"\\rparen","\\{":"\\}","\\langle":"\\rangle","\\lfloor":"\\rfloor","\\lceil":"\\rceil","\\vert":"\\vert","\\lvert":"\\rvert","\\Vert":"\\Vert","\\lVert":"\\rVert","\\lbrack":"\\rbrack","\\ulcorner":"\\urcorner","\\llcorner":"\\lrcorner","\\lgroup":"\\rgroup","\\lmoustache":"\\rmoustache"},mt=Object.fromEntries(Object.entries(ht).map((([e,t])=>[t,e])));function ft(e){var t;return null!==(t={"[":91,"]":93,"(":40,")":41,"\\mid":8739,"|":8739,"\u2223":8739,"\u2225":8741,"\\|":8739,"\\{":123,"\\}":125,"\\lbrace":123,"\\rbrace":125,"\\lparen":40,"\\rparen":41,"\\lbrack":91,"\\rbrack":93,"\\vert":8739,"\\lvert":8739,"\\mvert":8739,"\\rvert":8739,"\\Vert":8741,"\\lVert":8741,"\\mVert":8741,"\\rVert":8741,"\\parallel":8741,"\\shortparallel":8741,"\\langle":10216,"\\rangle":10217,"\\lfloor":8970,"\\rfloor":8971,"\\lceil":8968,"\\rceil":8969,"\\ulcorner":9484,"\\urcorner":9488,"\\llcorner":9492,"\\lrcorner":9496,"\\lgroup":10222,"\\rgroup":10223,"\\lmoustache":9136,"\\rmoustache":9137,"\\surd":8730}[e])&&void 0!==t?t:e.codePointAt(0)}function yt(e,t,a,i,o){const r=new Ae(i,null==o?void 0:o.style,"textstyle"),n=new Ne(ft(e),{fontFamily:"Size"+t+"-Regular",classes:"ML__delim-size"+t}).wrap(r);return a&&n.setTop((1-r.scalingFactor)*ge),n}function bt(e,t,a,i,o){var r;let n,s,l,d;n=l=d=ft(e),s=null;let c="Size1-Regular";"\\vert"===e||"\\lvert"===e||"\\rvert"===e||"\\mvert"===e||"\\mid"===e?l=n=d=8739:"\\Vert"===e||"\\lVert"===e||"\\rVert"===e||"\\mVert"===e||"\\|"===e?l=n=d=8741:"\\uparrow"===e?l=d=9168:"\\Uparrow"===e?l=d=8214:"\\downarrow"===e?n=l=9168:"\\Downarrow"===e?n=l=8214:"\\updownarrow"===e?(n=8593,l=9168,d=8595):"\\Updownarrow"===e?(n=8657,l=8214,d=8659):"["===e||"\\lbrack"===e?(n=9121,l=9122,d=9123,c="Size4-Regular"):"]"===e||"\\rbrack"===e?(n=9124,l=9125,d=9126,c="Size4-Regular"):"\\lfloor"===e||"\u230a"===e?(l=n=9122,d=9123,c="Size4-Regular"):"\\lceil"===e||"\u2308"===e?(n=9121,l=d=9122,c="Size4-Regular"):"\\rfloor"===e||"\u230b"===e?(l=n=9125,d=9126,c="Size4-Regular"):"\\rceil"===e||"\u2309"===e?(n=9124,l=d=9125,c="Size4-Regular"):"("===e||"\\lparen"===e?(n=9115,l=9116,d=9117,c="Size4-Regular"):")"===e||"\\rparen"===e?(n=9118,l=9119,d=9120,c="Size4-Regular"):"\\{"===e||"\\lbrace"===e?(n=9127,s=9128,d=9129,l=9130,c="Size4-Regular"):"\\}"===e||"\\rbrace"===e?(n=9131,s=9132,d=9133,l=9130,c="Size4-Regular"):"\\lgroup"===e||"\u27ee"===e?(n=9127,d=9129,l=9130,c="Size4-Regular"):"\\rgroup"===e||"\u27ef"===e?(n=9131,d=9133,l=9130,c="Size4-Regular"):"\\lmoustache"===e||"\u23b0"===e?(n=9127,d=9133,l=9130,c="Size4-Regular"):"\\rmoustache"===e||"\u23b1"===e?(n=9131,d=9129,l=9130,c="Size4-Regular"):"\\surd"===e?(n=57345,d=9143,l=57344,c="Size4-Regular"):"\\ulcorner"===e?(n=9484,l=d=32):"\\urcorner"===e?(n=9488,l=d=32):"\\llcorner"===e?(d=9492,l=n=32):"\\lrcorner"===e&&(n=9496,l=n=32);const u=_e(n,c),p=u.height+u.depth,h=_e(l,c),m=h.height+h.depth,f=_e(d,c),y=f.height+f.depth;let b=0,g=1;if(null!==s){const e=_e(s,c);b=e.height+e.depth,g=2}const v=p+y+b,k=Math.max(0,Math.ceil((t-v)/(g*m))),x=v+k*g*m;let w=ge;a&&(w*=i.scalingFactor);const _=x/2-w,S=[];S.push({box:new Ne(d,{fontFamily:c})}),S.push(-.008);const M=new Ne(l,{fontFamily:c});if(null===s)for(let e=0;e<k;e++)S.push({box:M});else{for(let e=0;e<k;e++)S.push({box:M});S.push(-.008),S.push({box:new Ne(s,{fontFamily:c})}),S.push(-.008);for(let e=0;e<k;e++)S.push({box:M})}S.push(-.008),S.push({box:new Ne(n,{fontFamily:c})});let L="";"Size1-Regular"===c?L=" delim-size1":"Size4-Regular"===c&&(L=" delim-size4");const C=new We({bottom:_,children:S},{classes:L});return new Ne(C,{...null!=o?o:{},classes:(null!==(r=null==o?void 0:o.classes)&&void 0!==r?r:"")+" ML__delim-mult"})}const gt=new Set(["(",")","\\lparen","\\rparen","[","]","\\lbrack","\\rbrack","\\{","\\}","\\lbrace","\\rbrace","\\lfloor","\\rfloor","\\lceil","\\rceil","\\surd","\u230a","\u230b","\u2308","\u2309"]),vt=new Set(["\\uparrow","\\downarrow","\\updownarrow","\\Uparrow","\\Downarrow","\\Updownarrow","|","\\|","\\vert","\\Vert","\\lvert","\\rvert","\\lVert","\\rVert","\\mvert","\\mid","\\lgroup","\\rgroup","\\lmoustache","\\rmoustache","\u27ee","\u27ef","\u23b0","\u23b1"]),kt=new Set(["<",">","\\langle","\\rangle","/","\\backslash","\\lt","\\gt"]),xt=[0,1.2,1.8,2.4,3],wt=[{type:"small",mathstyle:"scriptscriptstyle"},{type:"small",mathstyle:"scriptstyle"},{type:"small",mathstyle:"textstyle"},{type:"large",size:1},{type:"large",size:2},{type:"large",size:3},{type:"large",size:4}],_t=[{type:"small",mathstyle:"scriptscriptstyle"},{type:"small",mathstyle:"scriptscriptstyle"},{type:"small",mathstyle:"textstyle"},{type:"stack"}],St=[{type:"small",mathstyle:"scriptscriptstyle"},{type:"small",mathstyle:"scriptstyle"},{type:"small",mathstyle:"textstyle"},{type:"large",size:1},{type:"large",size:2},{type:"large",size:3},{type:"large",size:4},{type:"stack"}];function Mt(e,t,a,i,o,r){var n;if(!t||0===t.length||"."===t)return Ct(o,e,e);let s;"<"===t||"\\lt"===t?t="\\langle":">"!==t&&"\\gt"!==t||(t="\\rangle"),s=kt.has(t)?wt:gt.has(t)?St:_t;const l=function(e,t,a,i){for(let r={"-4":0,"-3":1,0:2}[i.mathstyle.sizeDelta];r<a.length&&"stack"!==a[r].type;r++){const n=_e(e,"small"===(o=a[r]).type?"Main-Regular":"large"===o.type?"Size"+o.size+"-Regular":"Size4-Regular");if(n.defaultMetrics)return{type:"small",mathstyle:"scriptstyle"};let s=n.height+n.depth;if("small"===a[r].type&&("scriptscriptstyle"===a[r].mathstyle?s*=xe[Math.max(1,i.size-2)]:"scriptstyle"===a[r].mathstyle&&(s*=xe[Math.max(1,i.size-1)])),s>t)return a[r]}var o;return a[a.length-1]}(ft(t),a,s,o),d=new Ae(o,null==r?void 0:r.style,l.mathstyle);return"small"===l.type?function(e,t,a,i){const o=new Ne(ft(e),{fontFamily:"Main-Regular"}).wrap(t,i);return a&&o.setTop((1-t.scalingFactor)*ge),o}(t,d,i,{type:e,classes:"ML__small-delim "+(null!==(n=null==r?void 0:r.classes)&&void 0!==n?n:"")}):"large"===l.type?yt(t,l.size,i,d,{...r,type:e}):bt(t,a,i,d,{...r,type:e})}function Lt(e,t,a,i,o,r){if("."===t)return Ct(o,e,null==r?void 0:r.classes);const n=ge*o.scalingFactor,s=Math.max(a-n,i+n);return Mt(e,t,Math.max(s/500*901,2*s-.5),!0,o,r)}function Ct(e,t,a){const i=new Ae(e,void 0,"textstyle");return new Ne(null,{classes:" nulldelimiter "+(null!=a?a:""),type:t}).wrap(i)}class At extends dt{constructor(e,t,a){var i,o,r,n;super("overunder",t,{command:e,serialize:a.serialize,style:a.style}),this.skipBoundary=null===(i=a.skipBoundary)||void 0===i||i,this.subsupPlacement=a.supsubPlacement,this.body=a.body,this.svgAbove=a.svgAbove,this.svgBelow=a.svgBelow,this.svgBody=a.svgBody,this.above=a.above,this.below=a.below,this.boxType=null!==(o=a.boxType)&&void 0!==o?o:"mord",this.paddedBody=null!==(r=a.paddedBody)&&void 0!==r&&r,this.paddedLabels=null!==(n=a.paddedLabels)&&void 0!==n&&n}static fromJson(e,t){return new At(e.command,t,e)}toJson(){const e={};return this.skipBoundary||(e.skipBoundary=!1),this.subsupPlacement&&(e.subsupPlacement=this.subsupPlacement),this.svgAbove&&(e.svgAbove=this.svgAbove),this.svgBelow&&(e.svgBelow=this.svgBelow),this.svgBody&&(e.svgBody=this.svgBody),"mord"!==this.boxType&&(e.boxType=this.boxType),this.paddedBody&&(e.paddedBody=!0),this.paddedLabels&&(e.paddedLabels=!0),{...super.toJson(),...e}}render(e){let t=this.svgBody?je(this.svgBody):dt.createBox(e,this.body,{newList:!0});const a=new Ae(e,this.style,"scriptstyle");let i=null;this.svgAbove?i=je(this.svgAbove):this.above&&(i=dt.createBox(a,this.above,{newList:!0}));let o=null;this.svgBelow?o=je(this.svgBelow):this.below&&(o=dt.createBox(a,this.below,{newList:!0})),this.paddedBody&&(t=new Ne([Ct(e,"mopen"),t,Ct(e,"mclose")],{newList:!0}));let r=function(e,t){if(!t.base)return null;if(!t.above&&!t.below){const e=new Ne(t.base,{type:t.type});return e.setStyle("position","relative"),e}let a=0;t.above&&(a=-t.above.depth+e.metrics.bigOpSpacing2);let i=null;const o=t.base,r=["ML__center"];if(t.paddedAboveBelow&&r.push("ML__label_padding"),t.below&&t.above){const n=e.metrics.bigOpSpacing5+t.below.height+t.below.depth+o.depth+0;i=new We({bottom:n,children:[e.metrics.bigOpSpacing5,{box:t.below,classes:r},{box:o,classes:["ML__center"]},a,{box:t.above,classes:r},e.metrics.bigOpSpacing5]})}else t.below?i=new We({top:o.height-0,children:[e.metrics.bigOpSpacing5,{box:t.below,classes:r},{box:o,classes:["ML__center"]}]}):t.above&&(i=new We({bottom:o.depth+0,children:[{box:o,classes:["ML__center"]},a,{box:t.above,classes:r},e.metrics.bigOpSpacing5]}));return new Ne(i,{type:t.type})}(e,{base:t,above:i,below:o,type:"mbin"===this.boxType||"mrel"===this.boxType?this.boxType:"mord",paddedAboveBelow:this.paddedLabels});return r?(r="over-under"===this.subsupPlacement?this.attachLimits(e,{base:r,type:r.type}):this.attachSupsub(e,{base:r}),this.caret&&(r.caret=this.caret),this.bind(e,r)):null}}class Tt extends dt{constructor(e,t,a){var i,o,r;super("group",t,{command:null==a?void 0:a.command,mode:null!==(i=null==a?void 0:a.mode)&&void 0!==i?i:"math",serialize:null==a?void 0:a.serialize,style:null==a?void 0:a.style}),this.body=e,this.mathstyleName=null==a?void 0:a.mathstyleName,this.latexOpen=null==a?void 0:a.latexOpen,this.latexClose=null==a?void 0:a.latexClose,this.cssId=null==a?void 0:a.cssId,this.htmlData=null==a?void 0:a.htmlData,this.htmlStyle=null==a?void 0:a.htmlStyle,this.customClass=null==a?void 0:a.customClass,this.boxType=null==a?void 0:a.boxType,this.skipBoundary=!0,this.captureSelection=null!==(o=null==a?void 0:a.captureSelection)&&void 0!==o&&o,this.changeMode=null!==(r=null==a?void 0:a.changeMode)&&void 0!==r&&r,this.displayContainsHighlight=!1,e&&1===e.length&&","===e[0].command&&(this.captureSelection=!0)}static fromJson(e,t){return new Tt(e.body,t,e)}toJson(){const e={};return this.mathstyleName&&(e.mathstyleName=this.mathstyleName),this.latexOpen&&(e.latexOpen=this.latexOpen),this.latexClose&&(e.latexClose=this.latexClose),this.cssId&&(e.cssId=this.cssId),this.htmlData&&(e.htmlData=this.htmlData),this.htmlStyle&&(e.htmlStyle=this.htmlStyle),this.customClass&&(e.customClass=this.customClass),this.boxType&&(e.boxType=this.boxType),this.captureSelection&&(e.captureSelection=!0),this.changeMode&&(e.changeMode=!0),{...super.toJson(),...e}}render(e){const t=new Ae(e,this.style,this.mathstyleName),a=dt.createBox(t,this.body,{type:this.boxType,classes:this.customClass,mode:this.mode,style:{backgroundColor:this.style.backgroundColor},newList:!this.boxType});return a?(this.cssId&&(a.cssId=this.cssId),this.htmlData&&(a.htmlData=this.htmlData),this.htmlStyle&&(a.htmlStyle=this.htmlStyle),this.caret&&(a.caret=this.caret),this.bind(e,a)):null}serialize(e){let t=this.bodyToLatex(e);return"string"==typeof this.latexOpen&&(t=this.latexOpen+t+this.latexClose),this.htmlData&&(t=`\\htmlData{${this.htmlData}}{${t}}`),this.htmlStyle&&(t=`\\htmlStyle{${this.htmlStyle}}{${t}}`),this.customClass&&(t=`\\class{${this.customClass}}{${t}}`),this.cssId&&(t=`\\cssId{${this.cssId}}{${t}}`),t}}class Dt extends dt{constructor(e,t,a,i){super("spacing",a,{command:e,style:t}),this.width=i}static fromJson(e,t){return new Dt(e.command,e.style,t,e.width)}toJson(){const e={};return this.width&&(e.width=this.width),{...super.toJson(),...e}}render(e){var t;let a;if(this.width)a=new Ne(null,{classes:"mspace"}),a.left=Le(this.width.glue);else{const e=null!==(t={"\\qquad":"qquad","\\quad":"quad","\\enspace":"enspace","\\;":"thickspace","\\:":"mediumspace","\\,":"thinspace","\\!":"negativethinspace"}[this.command])&&void 0!==t?t:"mediumspace";a=new Ne(null,{classes:e})}return a=this.bind(e,a),this.caret&&(a.caret=this.caret),a}serialize(e){var t;let a=null!==(t=this.command)&&void 0!==t?t:"";return"\\hspace"===this.command||"\\hspace*"===this.command?Number.isFinite(this.width)?a+=`{${this.width}em'}`:a+="{0pt}":Number.isFinite(this.width)&&(a+=` ${this.width}em`),a}}class zt extends dt{constructor(e,t,a,i){super("leftright",a,{style:i.style,displayContainsHighlight:!0}),this.variant=e,this.body=t,this.leftDelim=i.leftDelim,this.rightDelim=i.rightDelim}static fromJson(e,t){var a;return new zt(null!==(a=e.variant)&&void 0!==a?a:"",e.body,t,e)}toJson(){const e=super.toJson();return this.variant&&(e.variant=this.variant),this.leftDelim&&(e.leftDelim=this.leftDelim),this.rightDelim&&(e.rightDelim=this.rightDelim),e}serialize(e){var t,a;const i=this.matchingRightDelim();return"left...right"===this.variant?it(["\\left"+(null!==(t=this.leftDelim)&&void 0!==t?t:"."),this.bodyToLatex(e),"\\right"+i]):"mleft...mright"===this.variant?it(["\\mleft"+(null!==(a=this.leftDelim)&&void 0!==a?a:"."),this.bodyToLatex(e),"\\mright"+i]):it([this.leftDelim&&"."!==this.leftDelim?this.leftDelim:"",this.bodyToLatex(e),i])}matchingRightDelim(){var e,t;if(this.rightDelim&&"?"!==this.rightDelim)return this.rightDelim;const a=null!==(e=this.leftDelim)&&void 0!==e?e:".";return null!==(t=ht[a])&&void 0!==t?t:a}render(e){var t,a,i;const o=new Ae(e,this.style),r=new Ae(e,this.style,"textstyle"),n=null!==(t=dt.createBox(o,this.body,{newList:!0}))&&void 0!==t?t:new Ne(null,{newList:!0}),s=n.height/r.scalingFactor,l=n.depth/r.scalingFactor,d=[];if(this.leftDelim&&d.push(this.bind(r,Lt("mopen",this.leftDelim,s,l,r,{classes:"ML__open"+(this.containsCaret?" ML__contains-caret":""),mode:this.mode,style:this.style}))),n){if(n.children)for(let e=0;e<n.children.length;e++){const t=n.children[e];if(t.delim){const a=t.caret;n.children[e]=this.bind(o,Lt("minner",t.delim,s,l,o)),n.children[e].caret=a}}d.push(n)}if(this.rightDelim){let e=this.containsCaret?" ML__contains-caret":"",t=this.rightDelim;"?"===t&&(this.context.smartFence?(t=this.matchingRightDelim(),e+=" ML__smart-fence__close"):t="."),d.push(this.bind(r,Lt("mclose",t,s,l,r,{classes:e+" ML__close",mode:this.mode,style:this.style})))}const c=null!==(i="mleft...mright"===this.variant||(null===(a=this.leftSibling)||void 0===a?void 0:a.isFunction))&&void 0!==i&&i,u=new Ne(d,{type:c?"mclose":"minner",classes:"left-right"});return this.caret&&(u.caret=this.caret),this.bind(o,u.wrap(o))}}class Bt extends dt{constructor(e,t){super("msubsup",e,{style:null==t?void 0:t.style})}static fromJson(e,t){const a=new Bt(t,e);for(const t of nt)e[t]&&a.setChildren(e[t],t);return a}toJson(){return super.toJson()}render(e){var t;const a=this.leftSibling,i=new Ae(e,{isPhantom:!0}),o=null!==(t=a.render(i))&&void 0!==t?t:new Ne(null),r=new Ne(null,{height:o.height,depth:o.depth});return this.attachSupsub(e,{base:r,isCharacterBox:a.isCharacterBox(),type:"supsub"})}serialize(e){return this.supsubToLatex(e)}}class Kt extends dt{constructor(e,t){var a;const i=(null==t?void 0:t.value)||e.placeholderSymbol;super("placeholder",e,{mode:null!==(a=null==t?void 0:t.mode)&&void 0!==a?a:"math",style:null==t?void 0:t.style,value:i,command:"\\placeholder"}),this.captureSelection=!0,this.placeholderId=null==t?void 0:t.placeholderId,(null==t?void 0:t.default)&&(this.defaultValue=null==t?void 0:t.default)}static fromJson(e,t){return new Kt(t,e)}toJson(){const e=super.toJson();return this.placeholderId&&(e.placeholderId=this.placeholderId),this.value===this.context.placeholderSymbol&&delete e.value,this.defaultValue&&(e.defaultValue=this.defaultValue.map((e=>e.toJson()))),e}render(e){if("function"==typeof e.renderPlaceholder)return e.renderPlaceholder(e,this);let t="";return this.caret&&(t+="ML__placeholder-selected "),this.isSelected&&(t+=" ML__selected "),this.createBox(e,{classes:t})}serialize(e){var t;let a=null!==(t=this.value)&&void 0!==t?t:"";return a===this.context.placeholderSymbol&&(a=""),`\\placeholder${this.placeholderId?`[${this.placeholderId}]`:""}${this.defaultValue?`[${dt.serialize(this.defaultValue,e)}]`:""}{${a}}`}}class Et extends dt{constructor(e,t){super("error",t,{value:e,command:e,mode:"math"}),this.verbatimLatex=e}static fromJson(e,t){return new Et(e.command,t)}toJson(){return super.toJson()}render(e){const t=this.createBox(e,{classes:"ML__error"});return this.caret&&(t.caret=this.caret),t}}class qt extends dt{constructor(e,t,a){var i,o;super("macro",t,{command:e}),this.body=a.body,void 0===a.captureSelection?a.args?this.captureSelection=!1:this.captureSelection=!0:this.captureSelection=a.captureSelection,this.macroArgs=null!==(i=a.args)&&void 0!==i?i:"",this.expand=null!==(o=a.expand)&&void 0!==o&&o}static fromJson(e,t){return new qt(e.command,t,e)}toJson(){const e=super.toJson();return this.expand&&(e.expand=!0),void 0!==this.captureSelection&&(e.captureSelection=this.captureSelection),this.macroArgs&&(e.args=this.macroArgs),e}serialize(e){return e.expandMacro&&this.expand?this.bodyToLatex(e):this.command+this.macroArgs}render(e){const t=dt.createBox(e,this.body);return t?(this.caret&&(t.caret=this.caret),this.bind(e,t)):null}}class $t extends dt{constructor(e,t,a,i){super("text",i,{command:e,mode:"text",displayContainsHighlight:!0}),this.value=t,this.verbatimLatex=t,this.applyStyle(a)}static fromJson(e,t){return new $t(e.command,e.value,e.style,t)}toJson(){return super.toJson()}render(e){const t=this.createBox(e);return this.caret&&(t.caret=this.caret),t}serialize(e){var t;return null!==(t=this.verbatimLatex)&&void 0!==t?t:K("text",this.value.codePointAt(0))}}function Ot(e){return!/^<({|}|\$|\$\$|space)>$/.test(e)}class Nt{constructor(e,t,a){var i,o,r,n,s,l;this.index=0,this.endCount=0,this.tokens=e,this.context=t,this.errors=[],this.args=null!==(i=a.args)&&void 0!==i?i:null,this.smartFence=null!==(o=a.smartFence)&&void 0!==o?o:t.smartFence,this._currentParsingContext={parent:void 0,mathlist:[],style:null!==(r=a.style)&&void 0!==r?r:{},parseMode:null!==(n=a.parseMode)&&void 0!==n?n:"math",mathstyle:null!==(s=a.mathstyle)&&void 0!==s?s:"displaystyle",registers:null!==(l=a.registers)&&void 0!==l?l:t.registers,tabular:!1}}get currentContext(){return this._currentParsingContext}get rootContext(){let e=this._currentParsingContext;for(;e.parent;)e=e.parent;return e}beginContext(e){var t,a,i;const o={parent:this.currentContext,mathlist:[],style:{...this.currentContext.style},parseMode:null!==(t=null==e?void 0:e.mode)&&void 0!==t?t:this.currentContext.parseMode,mathstyle:null!==(a=null==e?void 0:e.mathstyle)&&void 0!==a?a:this.currentContext.mathstyle,registers:null,tabular:null!==(i=null==e?void 0:e.tabular)&&void 0!==i&&i};this._currentParsingContext=o}endContext(){this._currentParsingContext=this._currentParsingContext.parent}onError(e){this.errors.push({before:ot(this.tokens.slice(this.index,this.index+10)),after:ot(this.tokens.slice(Math.max(0,this.index-10),this.index)),...e})}get mathlist(){return this.currentContext.mathlist}set mathlist(e){this.currentContext.mathlist=e}get parseMode(){return this.currentContext.parseMode}set parseMode(e){this.currentContext.parseMode=e}get tabularMode(){return this.currentContext.tabular}get style(){let e=this.currentContext;for(;e;){if(e.style)return e.style;e=e.parent}return{}}set style(e){this.currentContext.style=e}getRegister(e){var t,a,i;if(e.startsWith("global "))return null!==(a=null===(t=this.rootContext.registers)||void 0===t?void 0:t[e.slice(7)])&&void 0!==a?a:0;let o=this.currentContext;for(;o;){if(null===(i=o.registers)||void 0===i?void 0:i[e])return o.registers[e];o=o.parent}return 0}setRegister(e,t){var a;if(e.startsWith("global ")){e=e.slice(7);let i=this.currentContext;for(;i;)(null===(a=i.registers)||void 0===a?void 0:a[e])&&delete i.registers[e],i=i.parent;this.rootContext.registers[e]=t}else this.currentContext.registers||(this.currentContext.registers={}),this.currentContext.registers[e]=t}end(){return this.endCount++,this.index>=this.tokens.length||this.endCount>1e3}get(){return this.endCount=0,this.index<this.tokens.length?this.tokens[this.index++]:""}peek(){return this.tokens[this.index]}match(e){return this.tokens[this.index]===e&&(this.index++,!0)}lastSubsupAtom(){let e;if(this.mathlist.length>0){if(e=this.mathlist[this.mathlist.length-1],"msubsup"===e.type)return e;if(void 0!==e.subsupPlacement)return e}return e=new Bt(this.context,{style:this.style}),this.mathlist.push(e),e}hasPattern(e){return e.test(this.tokens[this.index])}hasInfixCommand(){var e;const{index:t}=this;if(t<this.tokens.length&&this.tokens[t].startsWith("\\")){const a=this.context.getDefinition(this.tokens[t],this.parseMode);return!(!a||"symbol"===a.definitionType)&&!(a.ifMode&&!a.ifMode.includes(this.parseMode))&&null!==(e=a.infix)&&void 0!==e&&e}return!1}matchColumnSeparator(){const{index:e}=this;return!(!this.tabularMode||"&"!==this.tokens[e]||(this.index++,0))}matchRowSeparator(){const{index:e}=this;return!(!this.tabularMode||"\\\\"!==this.tokens[e]&&"\\cr"!==this.tokens[e]||(this.index++,0))}placeholder(){var e;const t=null===(e=this.args)||void 0===e?void 0:e.call(this,"?");return t?Ft(t,this.context,{parseMode:this.parseMode,mathstyle:"textstyle"}):[new Kt(this.context,{mode:this.parseMode,style:this.style})]}matchWhitespace(){let e=!1;for(;this.match("<space>");)e=!0;return e}skipUntilToken(e){let t=this.tokens[this.index];for(;t&&t!==e;)t=this.tokens[++this.index];t===e&&this.index++}skipFiller(){let e=!1;do{const t=this.matchWhitespace(),a=this.match("\\relax");e=!t&&!a}while(!e)}matchKeyword(e){const t=this.index;let a=this.end(),i="";for(;!a;){const t=this.get();Ot(t)?(i+=t,a=this.end()||i.length>=e.length):a=!0}const o=e.toUpperCase()===i.toUpperCase();return o||(this.index=t),o}scanString(){let e="";for(;!this.end();)if(this.match("<space>"))e+=" ";else{const t=this.peek();if("]"===t)break;if(Ot(t))e+=this.get();else{if(!t.startsWith("\\"))break;this.onError({code:"unbalanced-braces"}),e+=this.get()}}return e}scanBalancedString(){let e="",t=this.end(),a=1;for(;!t;){if(this.match("<space>"))e+=" ";else{const t=this.get();"<{>"===t?(e+="{",a+=1):"<}>"===t?(a-=1,a>0?e+="}":this.index-=1):e+="<$>"===t?"$":"<$$>"===t?"$$":t}t=0===a||this.end()}return e}matchLiteralArg(){var e;let t="";if(this.match("<{>")){let a=1;for(;a>0&&!this.end();){const i=this.get();"<}>"===i?(a-=1,a>0&&(t+="}")):"<{>"===i?(a+=1,t+="{"):t+=null!==(e={"<space>":" ","<$$>":"$$","<$>":"$"}[i])&&void 0!==e?e:i}}return t}scanNumber(e=!0){var t,a;let i=!1,o=this.peek();for(;"<space>"===o||"+"===o||"-"===o;)this.get(),"-"===o&&(i=!i),o=this.peek();e=Boolean(e);let r=10,n=/\d/;if(this.match("'"))r=8,n=/[0-7]/,e=!0;else if(this.match('"')||this.match("x"))r=16,n=/[\dA-F]/,e=!0;else if(this.match("`"))return o=this.get(),o?o.startsWith("\\")&&2===o.length?(i?-1:1)*(null!==(t=o.codePointAt(1))&&void 0!==t?t:0):(i?-1:1)*(null!==(a=o.codePointAt(0))&&void 0!==a?a:0):null;let s="";for(;this.hasPattern(n);)s+=this.get();if(!e&&(this.match(".")||this.match(",")))for(s+=".";this.hasPattern(n);)s+=this.get();const l=e?Number.parseInt(s,r):Number.parseFloat(s);return Number.isNaN(l)?null:i?-l:l}scanDimen(){var e,t,a;let i,o=this.scanNumber(!1);if(null===o){if(!(null===(e=this.peek())||void 0===e?void 0:e.startsWith("\\")))return null;o=1}return this.matchWhitespace(),this.matchKeyword("pt")?i={dimension:o,unit:"pt"}:this.matchKeyword("mm")?i={dimension:o,unit:"mm"}:this.matchKeyword("cm")?i={dimension:o,unit:"cm"}:this.matchKeyword("ex")?i={dimension:o,unit:"ex"}:this.matchKeyword("px")?i={dimension:o,unit:"px"}:this.matchKeyword("em")?i={dimension:o,unit:"em"}:this.matchKeyword("bp")?i={dimension:o,unit:"bp"}:this.matchKeyword("dd")?i={dimension:o,unit:"dd"}:this.matchKeyword("pc")?i={dimension:o,unit:"pc"}:this.matchKeyword("in")?i={dimension:o,unit:"in"}:this.matchKeyword("mu")?i={dimension:o,unit:"mu"}:(null===(t=this.peek())||void 0===t?void 0:t.startsWith("\\"))?(i=null!==(a=It(this.getRegister(this.get().slice(1)),this.context))&&void 0!==a?a:{dimension:0},i.dimension*=o):(this.match("\\relax")||this.onError({code:"missing-unit"}),i={dimension:o,unit:"pt"}),i}scanGlue(){const e=this.scanDimen();if(null===e)return null;const t={glue:e};return this.matchWhitespace(),this.match("\\relax")||(this.matchKeyword("plus")&&this.scanDimen(),this.matchWhitespace(),this.match("\\relax")||(this.matchWhitespace(),this.matchKeyword("minus")&&this.scanDimen())),t}scanColspec(){this.matchWhitespace();const e=[];for(;!this.end()&&"<}>"!==this.peek()&&"]"!==this.peek();){const t=this.get();"c"===t||"r"===t||"l"===t?e.push({align:t}):"|"===t?e.push({separator:"solid"}):":"===t?e.push({separator:"dashed"}):"@"===t&&(this.match("<{>")&&(this.beginContext({mode:"math"}),e.push({gap:this.parse((e=>"<}>"===e))}),this.endContext()),this.match("<}>")||this.onError({code:"unbalanced-braces"}))}return e}parseModeSet(){let e="";if(this.match("\\(")&&(e="\\)"),!e&&this.match("\\[")&&(e="\\]"),!e)return null;this.beginContext({mode:"math",mathstyle:"\\)"===e?"textstyle":"displaystyle"});const t=new Tt(this.parse((t=>t===e)),this.context,{mathstyleName:"\\)"===e?"textstyle":"displaystyle",latexOpen:"\\]"===e?"\\[":"\\(",latexClose:e,boxType:"mord"});return this.match(e)||this.onError({code:"unbalanced-mode-shift"}),this.endContext(),t.hasEmptyBranch("body")?null:t}parseModeShift(){let e="";if(this.match("<$>")&&(e="<$>"),!e&&this.match("<$$>")&&(e="<$$>"),!e)return null;this.beginContext({mode:"math",mathstyle:"textstyle"});const t=new Tt(this.parse((t=>t===e)),this.context,{mathstyleName:"<$>"===e?"textstyle":"displaystyle",latexOpen:"<$>"===e?"$ ":"$$ ",latexClose:"<$>"===e?" $":" $$"});return this.match(e)||this.onError({code:"unbalanced-mode-shift"}),this.endContext(),t.hasEmptyBranch("body")?null:t}parseEnvironment(){if(!this.match("\\begin"))return null;const e=this.parseArgument("string");if(!e)return null;const t=function(e){var t;return null!==(t=S[e])&&void 0!==t?t:null}(e);if(!t)return this.onError({code:"unknown-environment",arg:e}),null;const a=[];if(t.params)for(const i of t.params)if(i.isOptional)a.push(this.parseOptionalArgument(i.type));else{const t=this.parseArgument(i.type);t||this.onError({code:"missing-argument",arg:e}),a.push(t)}this.beginContext({tabular:t.tabular});const i=[],o=[];let r=[],n=!1;do{if(this.end()&&(this.onError({code:"unbalanced-environment",arg:e}),n=!0),!n&&this.match("\\end")&&(this.parseArgument("string")!==e&&this.onError({code:"unbalanced-environment",arg:e}),n=!0),!n)if(this.matchColumnSeparator())r.push(this.mathlist),this.mathlist=[];else if(this.matchRowSeparator()){r.push(this.mathlist),this.mathlist=[];let e=null;this.matchWhitespace(),this.match("[")&&(e=this.scanDimen(),this.matchWhitespace(),this.match("]")),o.push(null!=e?e:{dimension:0}),i.push(r),r=[]}else this.mathlist.push(...this.parse((e=>"<}>"===e||"&"===e||"\\end"===e||"\\cr"===e||"\\\\"===e)))}while(!n);return r.push(this.mathlist),r.length>0&&i.push(r),this.endContext(),t.createAtom(this.context,e,i,o,a)}parse(e){this.beginContext(),e||(e=e=>"<}>"===e);let t="",a=null,i=[],o=null;const r=this.mathlist;for(this.mathlist=[];!this.end()&&!e(this.peek());)this.hasInfixCommand()&&!t?(t=this.get(),a=this.context.getDefinition(t,"math"),a&&(i=this.parseArguments(a)[1]),o=this.mathlist,this.mathlist=[]):this.parseToken();let n;return t?(i.unshift(this.mathlist),this.mathlist=r,o&&i.unshift(o),n=[a.createAtom(t,i,this.style,this.context)]):(n=this.mathlist,this.mathlist=r),this.endContext(),n}parseGroup(){if(!this.match("<{>"))return null;const e=new Tt(this.parse((e=>"<}>"===e)),this.context,{mode:this.parseMode,latexOpen:"{",latexClose:"}"});return this.match("<}>")||this.onError({code:"unbalanced-braces"}),e}scanSmartFence(){if(this.matchWhitespace(),!this.match("("))return null;this.beginContext();let e=1;for(;!this.end()&&0!==e;)this.match("(")&&(e+=1),this.match(")")&&(e-=1),0!==e&&this.parseToken();0===e&&this.match(")");const t=new zt("",this.mathlist,this.context,{leftDelim:"(",rightDelim:0===e?")":"?"});return this.endContext(),t}scanDelim(){this.matchWhitespace();const e=this.get();if(!e)return this.onError({code:"unexpected-end-of-string"}),null;let t=".";(e.startsWith("\\")||Ot(e))&&(t=e);const a=this.context.getDefinition(t,"math");return a?"function"===a.definitionType&&a.ifMode&&!a.ifMode.includes(this.parseMode)?(this.onError({code:"unexpected-delimiter",arg:t}),null):"symbol"!==a.definitionType||"mopen"!==a.type&&"mclose"!==a.type?/^(\.|\?|\||<|>|\\vert|\\Vert|\\\||\\surd|\\uparrow|\\downarrow|\\Uparrow|\\Downarrow|\\updownarrow|\\Updownarrow|\\mid|\\mvert|\\mVert)$/.test(t)?t:(this.onError({code:"unexpected-delimiter",arg:t}),null):t:(this.onError({code:"unknown-command",arg:t}),null)}parseLeftRight(){var e;if(this.match("\\right")||this.match("\\mright"))return this.onError({code:"unbalanced-braces"}),null;let t="\\right";if(!this.match("\\left")){if(!this.match("\\mleft"))return null;t="\\mright"}const a=this.scanDelim();if(!a)return null;for(this.beginContext();!this.end()&&!this.match(t);)this.parseToken();const i=this.mathlist;this.endContext();const o=null!==(e=this.scanDelim())&&void 0!==e?e:".";return new zt("\\right"===t?"left...right":"mleft...mright",i,this.context,{leftDelim:a,rightDelim:o,style:this.style})}parseSupSub(){if("math"!==this.parseMode)return!1;let e=this.peek();if("^"!==e&&"_"!==e&&"'"!==e)return!1;for(;"^"===e||"_"===e||"'"===e;){if(this.match("'"))this.match("'")?this.lastSubsupAtom().addChild(new dt("mord",this.context,{command:"\\doubleprime",mode:"math",value:"\u2032\u2032"}),"superscript"):this.lastSubsupAtom().addChild(new dt("mord",this.context,{command:"\\prime",mode:"math",value:"\u2032"}),"superscript");else if(this.match("^")||this.match("_")){const t=this.parseArgument("math");t?this.lastSubsupAtom().addChildren(t,"_"===e?"subscript":"superscript"):this.lastSubsupAtom().createBranch("_"===e?"subscript":"superscript")}e=this.peek()}return!0}parseLimits(){const e=this.match("\\limits"),t=!e&&this.match("\\nolimits"),a=!t&&!e&&this.match("\\displaylimits");if(!e&&!t&&!a)return!1;const i=this.mathlist.length>0?this.mathlist[this.mathlist.length-1]:null;return!(null===i||"mop"!==i.type||(e?(i.subsupPlacement="over-under",i.explicitSubsupPlacement=!0,0):t?(i.subsupPlacement="adjacent",i.explicitSubsupPlacement=!0,0):!a||(i.subsupPlacement="auto",i.explicitSubsupPlacement=!0,0)))}parseArguments(e){if(!(null==e?void 0:e.params))return[void 0,[]];let t;const a=[];let i=e.infix?2:0;for(;i<e.params.length;){const o=e.params[i];if("rest"===o.type)a.push(this.parse((e=>"<}>"===e||"&"===e||"\\end"===e||"\\cr"===e||"\\\\"===e)));else if(o.isOptional)a.push(this.parseOptionalArgument(o.type));else if(o.type.endsWith("*"))t=o.type.slice(0,-1);else{const e=this.parseArgument(o.type);if(null!==e)a.push(e);else switch(this.onError({code:"missing-argument"}),o.type){case"number":a.push(0);break;case"dimen":a.push({dimension:0,unit:"pt"});break;case"glue":a.push({glue:{dimension:0,unit:"pt"}});break;case"string":case"balanced-string":a.push("");break;case"delim":a.push(".");break;case"colspec":a.push("llllllllll");break;default:a.push(this.placeholder())}}i+=1}return[t,a]}parseArgument(e){var t,a;this.skipFiller(),"auto"===e&&(e=this.parseMode);let i=null;const o="<{>"===this.peek();if(!o){if("delim"===e)return null!==(t=this.scanDelim())&&void 0!==t?t:".";if("text"===e||"math"===e){this.beginContext();const e=this.parseSimpleToken();return this.endContext(),e}}if(o&&this.get(),"text"===e||"math"===e){this.beginContext({mode:e});do{this.mathlist.push(...this.parse())}while(!this.match("<}>")&&!this.end())}else if(this.beginContext(),"string"===e?i=this.scanString():"balanced-string"===e?i=this.scanBalancedString():"number"===e?i=this.scanNumber():"colspec"===e?i=this.scanColspec():"dimen"===e?i=this.scanDimen():"glue"===e?i=this.scanGlue():"delim"===e&&(i=null!==(a=this.scanDelim())&&void 0!==a?a:"."),o&&this.skipUntilToken("<}>"),null===i)return this.endContext(),null;const r=this.mathlist;return this.endContext(),null!=i?i:r}parseOptionalArgument(e){var t,a;if(e="auto"===e?this.parseMode:e,this.matchWhitespace(),!this.match("["))return null;let i=null;for(;!this.end()&&!this.match("]");)if("string"===e)i=this.scanString();else if("number"===e)i=this.scanNumber();else if("dimen"===e)i=this.scanDimen();else if("glue"===e)i=this.scanGlue();else if("colspec"===e)i=this.scanColspec();else if("bbox"===e){const e=this.scanString().toLowerCase().trim().split(/,(?![^(]*\)(?:(?:[^(]*\)){2})*[^"]*$)/),o={};for(const i of e){const e=null===(a=(t=this.context).backgroundColorMap)||void 0===a?void 0:a.call(t,i);if(e)o.backgroundcolor=e;else{const e=i.match(/^\s*([\d.]+)\s*([a-z]{2})/);if(e)o.padding=e[0];else{const e=i.match(/^\s*border\s*:\s*(.*)/);e&&(o.border=e[1])}}}i=o}else"math"===e&&(this.beginContext({mode:"math"}),i=this.mathlist.concat(this.parse((e=>"]"===e))),this.endContext());return i}parseCommand(e){var t,a,i,o,r,n,s;if("\\placeholder"===e){const e=this.parseOptionalArgument("string"),a=this.parseOptionalArgument("math"),i=null!==(t=this.parseArgument("string"))&&void 0!==t?t:void 0;return[new Kt(this.context,{mode:this.parseMode,placeholderId:e,value:i,default:a,style:this.style})]}let l=null;if("\\char"===e){const e=this.index;let t=Math.floor(null!==(a=this.scanNumber(!0))&&void 0!==a?a:Number.NaN);(!Number.isFinite(t)||t<0||t>1114111)&&(t=10067);const i="\\char"+ot(this.tokens.slice(e,this.index));return l=new dt("math"===this.parseMode?"mord":"text",this.context,{command:"\\char",mode:this.parseMode,value:String.fromCodePoint(t),serialize:()=>i}),l.verbatimLatex=i,[l]}if("\\hskip"===e||"\\kern"===e){const t=this.scanGlue();return t?[new Dt(e,this.style,this.context,t)]:null}if(l=this.scanMacro(e),l)return[l];const d=this.context.getDefinition(e,this.parseMode);if(!d)return this.onError({code:"unknown-command",arg:e}),[new Et(e,this.context)];const c=this.index;if("symbol"===d.definitionType){const t={...this.style};d.variant&&(t.variant=d.variant),l=new dt(null!==(i=d.type)&&void 0!==i?i:"mop",this.context,{command:e,style:t,value:String.fromCodePoint(d.codepoint),mode:this.parseMode})}else{if(d.ifMode&&!d.ifMode.includes(this.parseMode))return[];const t=this.parseMode;d.applyMode&&(this.parseMode=d.applyMode);const[a,i]=this.parseArguments(d);if(this.parseMode=t,!i)return null;if(d.applyMode&&!d.applyStyle&&!d.createAtom)return i[0];if(d.infix)return this.onError({code:"too-many-infix-commands",arg:e}),null;if("function"==typeof d.createAtom)l=d.createAtom(e,i,this.style,this.context),a&&(l.body=null!==(o=this.parseArgument(a))&&void 0!==o?o:void 0);else if("function"==typeof d.applyStyle){const t=d.applyStyle(e,i,this.context),o=this.parseMode;if(d.applyMode&&(this.parseMode=d.applyMode),a){const e=this.style;this.style={...this.style,...t};const i=this.parseArgument(a);return this.style=e,this.parseMode=o,i}this.style={...this.style,...t},this.parseMode=o}else l=new dt("mop",this.context,{command:null!==(r=d.command)&&void 0!==r?r:e,style:{...this.style},value:e,mode:null!==(n=d.applyMode)&&void 0!==n?n:this.parseMode})}if(l instanceof dt&&void 0===l.verbatimLatex&&!/^\\(llap|rlap|class|cssId|htmlData)$/.test(e)&&(l.verbatimLatex=(null!==(s=l.command)&&void 0!==s?s:"")+ot(this.tokens.slice(c,this.index)),0===l.verbatimLatex.length&&(l.verbatimLatex=void 0),l.isFunction&&this.smartFence)){const e=this.scanSmartFence();if(e)return[l,e]}return l?[l]:null}parseLiteral(e){const t=Be.createAtom(this.parseMode,e,this.context,{...this.style});if(!t)return null;if(t.isFunction&&this.smartFence){const e=this.scanSmartFence();if(e)return[t,e]}return[t]}parseSimpleToken(){const e=this.get();return e?"<space>"===e?"text"===this.parseMode?[new $t(" "," ",this.style,this.context)]:null:e.startsWith("\\")?this.parseCommand(e):Ot(e)?this.parseLiteral(e):("<}>"===e?this.onError({latex:"",code:"unbalanced-braces"}):this.onError({latex:"",code:"unexpected-token",arg:e}),null):null}scanMacro(e){var t;const a=this.context.getMacro(e);if(!a)return null;const i=this.index,o=a.args,r={"?":null===(t=this.args)||void 0===t?void 0:t.call(this,"?")};for(let e=1;e<=o;e++)r[e]=this.matchLiteralArg();return new qt(e,this.context,{expand:a.expand,captureSelection:a.captureSelection,args:ot(this.tokens.slice(i,this.index)),body:Ft(a.def,this.context,{parseMode:this.parseMode,args:e=>r[e],mathstyle:this.currentContext.mathstyle})})}parseToken(){var e,a,i,o;let r=null!==(o=null!==(i=null!==(a=null!==(e=this.parseEnvironment())&&void 0!==e?e:this.parseModeShift())&&void 0!==a?a:this.parseModeSet())&&void 0!==i?i:this.parseGroup())&&void 0!==o?o:this.parseLeftRight();if(null===r){if(this.parseSupSub())return!0;if(this.parseLimits())return!0;r=this.parseSimpleToken()}return t(r)?this.mathlist.push(...r):r&&this.mathlist.push(r),null!==r}}function Ft(e,t,a){var i,o,r;const n=null!==(i=null==a?void 0:a.args)&&void 0!==i?i:null,s=new Nt(at(e,n),t,{args:n,mathstyle:null!==(o=null==a?void 0:a.mathstyle)&&void 0!==o?o:"displaystyle",parseMode:null!==(r=null==a?void 0:a.parseMode)&&void 0!==r?r:"math"}),l=[];for(;!s.end();)l.push(...s.parse());return l}function Pt(e,t,a){var i;const o=new Nt(at(e,null),t,{args:null,mathstyle:"displaystyle",parseMode:null!==(i=null==a?void 0:a.parseMode)&&void 0!==i?i:"math"});for(;!o.end();)o.parse();return o.errors}function Rt(e,t,a){return"object"==typeof e&&"glue"in e?e:"object"==typeof e&&"dimension"in e?{glue:e}:"number"==typeof e?{glue:{dimension:e}}:new Nt(at(e),t,{registers:a}).scanGlue()}function It(e,t,a){return"number"==typeof e?{dimension:e,unit:"pt"}:("object"==typeof e&&"glue"in e&&(e=e.glue),"object"==typeof e&&"dimension"in e?e:new Nt(at(e),t,{registers:a}).scanDimen())}class Vt extends dt{constructor(e,t,a,i){super("box",a,{command:e,serialize:i.serialize,style:i.style}),this.body=t,this.framecolor=i.framecolor,this.verbatimFramecolor=i.verbatimBackgroundcolor,this.backgroundcolor=i.backgroundcolor,this.verbatimBackgroundcolor=i.verbatimBackgroundcolor,this.padding=i.padding,this.border=i.border}static fromJson(e,t){return new Vt(e.command,e.body,t,e)}toJson(){return{...super.toJson(),framecolor:this.framecolor,verbatimFramecolor:this.verbatimFramecolor,backgroundcolor:this.backgroundcolor,verbatimBackgroundcolor:this.verbatimBackgroundcolor,padding:this.padding,border:this.border}}render(e){const t=new Ae(e,this.style),a=Le(t.getRegisterAsDimension("fboxsep")),i=void 0===this.padding?a:Le(It(this.padding,{...this.context,registers:e.registers})),o=dt.createBox(e,this.body);if(!o)return null;o.setStyle("vertical-align",-o.height,"em");const r=new Ne(o,{type:"mord"}),n=new Ne(null,{classes:"ML__box"});n.height=r.height+i,n.depth=r.depth+i,n.setStyle("box-sizing","border-box"),n.setStyle("position","absolute"),n.setStyle("height",r.height+r.depth+2*i,"em"),0===i?n.setStyle("width","100%"):(n.setStyle("width",`calc(100% + ${2*i}em)`),n.setStyle("top",a,"em"),n.setStyle("left",-i,"em")),n.setStyle("z-index","-1"),this.backgroundcolor&&n.setStyle("background-color",this.backgroundcolor),this.framecolor&&n.setStyle("border",`${Le(t.getRegisterAsDimension("fboxrule"))}em solid ${this.framecolor}`),this.border&&n.setStyle("border",this.border),r.setStyle("display","inline-block"),r.setStyle("height",o.height+o.depth,"em"),r.setStyle("vertical-align",-i,"em");const s=new Ne([n,r]);return s.setStyle("position","relative"),s.setStyle("display","inline-block"),s.setStyle("line-height",0),s.height=r.height+i,s.depth=r.depth+i,s.left=i,s.right=i,s.setStyle("height",r.height+i,"em"),s.setStyle("top",r.depth-r.height,"em"),s.setStyle("vertical-align",r.depth+i,"em"),this.caret&&(s.caret=this.caret),this.attachSupsub(e,{base:s})}}class Ht extends dt{constructor(e,t,a,i,o={}){var r,n;super("array",e),this.environmentName=t,this.rowGaps=i,o.mathstyleName&&(this.mathstyleName=o.mathstyleName),o.columns&&(0===o.columns.length?this.colFormat=[{align:"l"}]:this.colFormat=o.columns),this.colFormat||(this.colFormat=[{align:"l"},{align:"l"},{align:"l"},{align:"l"},{align:"l"},{align:"l"},{align:"l"},{align:"l"},{align:"l"},{align:"l"}]),this.array=function(e,t,a,i){let o=0;for(const e of i)"align"in e&&(o+=1);let r=0;const n=[];for(const i of a){let a=0;for(r=Math.max(r,Math.min(i.length,o));a<i.length;){const r=[],s=Math.min(i.length,a+o);for(;a<s;)0===i[a].length?r.push([new dt("first",e,{mode:t.mode})]):"first"!==i[a][0].type?r.push([new dt("first",e,{mode:t.mode}),...i[a]]):r.push(i[a]),a+=1;n.push(r)}}1===n[n.length-1].length&&0===n[n.length-1][0].length&&n.pop();const s=[];for(const a of n){if(a.length!==r)for(let i=a.length;i<r;i++)a.push([new dt("first",e,{mode:t.mode}),new Kt(e)]);s.push(a)}let l=0,d=0;for(const e of s){d=0;for(const a of e){for(const e of a)e.parent=t,e.treeBranch=[l,d];d+=1}l+=1}return t.isDirty=!0,s}(e,this,a,this.colFormat),o.leftDelim&&(this.leftDelim=o.leftDelim),o.rightDelim&&(this.rightDelim=o.rightDelim),void 0!==o.jot&&(this.jot=o.jot),o.arraycolsep&&(this.arraycolsep=o.arraycolsep),this.colSeparationType=o.colSeparationType,this.arraystretch=null!==(r=o.arraystretch)&&void 0!==r?r:1,this.minColumns=null!==(n=o.minColumns)&&void 0!==n?n:1}static fromJson(e,t){return new Ht(t,e.environmentName,e.array,e.rowGaps,e)}toJson(){const e={...super.toJson(),environmentName:this.environmentName,array:this.array.map((e=>e.map((e=>e.map((e=>e.toJson())))))),rowGaps:this.rowGaps,columns:this.colFormat,colSeparationType:this.colSeparationType};return 1!==this.arraystretch&&(e.arraystretch=this.arraystretch),this.arraycolsep&&(e.arraycolsep=this.arraycolsep),this.leftDelim&&(e.leftDelim=this.leftDelim),this.rightDelim&&(e.rightDelim=this.rightDelim),void 0!==this.jot&&(e.jot=this.jot),e}branch(e){var t;if(lt(e))return null!==(t=this.array[e[0]][e[1]])&&void 0!==t?t:void 0}get branches(){const e=super.branches;return this.array.forEach(((t,a)=>{this.array[a].forEach(((t,i)=>{this.array[a][i]&&e.push([a,i])}))})),e}createBranch(e){var t;return lt(e)?(this.isDirty=!0,null!==(t=this.branch(e))&&void 0!==t?t:[]):[]}get rowCount(){return this.array.length}get colCount(){return this.array[0].length}get maxColumns(){return this.colFormat.filter((e=>Boolean(e.align))).length}removeBranch(e){if(st(e))return super.removeBranch(e);const t=this.branch(e);return this.array[e[0]][e[1]]=void 0,t.forEach((e=>{e.parent=void 0,e.treeBranch=void 0})),t.shift(),this.isDirty=!0,t}get hasChildren(){return this.children.length>0}get children(){const e=[];for(const t of this.array)for(const a of t)if(a)for(const t of a)e.push(...t.children),e.push(t);return[...e,...super.children]}render(e){var t,a,i,o,r;const n=new Ae(e,this.style,this.mathstyleName),s=n.getRegisterAsEm("arrayrulewidth"),l=n.getRegisterAsEm("arraycolsep"),d=n.getRegisterAsEm("doublerulesep"),c=null!==(t=this.arraystretch)&&void 0!==t?t:1;let u="number"==typeof this.arraycolsep?this.arraycolsep:l;"small"===this.colSeparationType&&(u=new Ae(e,void 0,"scriptstyle").scalingFactor/e.scalingFactor*.2778);const p=1.2*c,h=.7*p,m=.3*p;let f=0;const y=[];let b=0;const g=this.array.length;for(let e=0;e<g;++e){const t=this.array[e];b=Math.max(b,t.length);const o=new Ae(n,this.style,this.mathstyleName);let r=h/o.scalingFactor,s=m/o.scalingFactor;const l={cells:[],height:0,depth:0,pos:0};for(const e of t){const t=null!==(a=dt.createBox(o,e,{newList:!0}))&&void 0!==a?a:new Ne(null,{newList:!0});s=Math.max(s,t.depth),r=Math.max(r,t.height),l.cells.push(t)}let d=null!==(i=Le(this.rowGaps[e]))&&void 0!==i?i:0;d>0&&(d+=m,s=Math.max(s,d),d=0),void 0!==this.jot&&(s+=this.jot),l.height=r,l.depth=s,f+=r,l.pos=f,f+=s+d,y.push(l)}const v=f/2+ge,k=[];for(let e=0;e<b;e++){const t=[];for(const a of y){const i=a.cells[e];i.depth=a.depth,i.height=a.height,t.push({box:i,shift:a.pos-v})}t.length>0&&k.push(new We({individualShift:t}))}const x=[];let w=!1,_=!1,S=0,M=!this.leftDelim;const{colFormat:L}=this;for(const t of L){if("align"in t&&S>=k.length)break;if("align"in t)w?x.push(Wt(2*u)):(_||M)&&x.push(Wt(u)),x.push(new Ne(k[S],{classes:"col-align-"+t.align})),S++,w=!0,_=!1,M=!1;else if("gap"in t){if("number"==typeof t.gap)x.push(Wt(t.gap));else{const a=Jt(e,y,v,t.gap);a&&x.push(a)}w=!1,_=!1,M=!1}else if("separator"in t){const e=new Ne(null,{classes:"vertical-separator"});e.setStyle("height",f,"em"),e.setStyle("border-right",`${s}em ${t.separator} currentColor`),e.setStyle("vertical-align",-(f-v),"em");let a=0;_?a=d-s:w&&(a=u-s),e.left=a,x.push(e),w=!1,_=!0,M=!1}}w&&!this.rightDelim&&x.push(Wt(u));const C=new Ne(x,{classes:"mtable"});if(!(this.leftDelim&&"."!==this.leftDelim||this.rightDelim&&"."!==this.rightDelim))return this.caret&&(C.caret=this.caret),C;const A=C.height,T=C.depth,D=this.bind(e,new Ne([this.bind(e,Lt("mopen",null!==(o=this.leftDelim)&&void 0!==o?o:".",A,T,n)),C,this.bind(e,Lt("mclose",null!==(r=this.rightDelim)&&void 0!==r?r:".",A,T,n))],{type:"mord"}));return D?(this.caret&&(D.caret=this.caret),this.attachSupsub(e,{base:D})):null}serialize(e){let t="\\begin{"+this.environmentName+"}";if("array"===this.environmentName){if(t+="{",void 0!==this.colFormat)for(const e of this.colFormat)"align"in e?t+=e.align:"separator"in e&&"solid"===e.separator?t+="|":"separator"in e&&"dashed"===e.separator&&(t+=":");t+="}"}for(let a=0;a<this.array.length;a++){for(let i=0;i<this.array[a].length;i++)i>0&&(t+=" & "),t=it([t,dt.serialize(this.array[a][i],e)]);a<this.array.length-1&&(t+=" \\\\ ")}return t+="\\end{"+this.environmentName+"}",t}getCell(e,t){return this.array[e][t]}setCell(e,t,a){for(const a of this.array[e][t])a.parent=void 0,a.treeBranch=void 0;let i=a;0!==a.length&&"first"===a[0].type||(i=[new dt("first",this.context,{mode:this.mode}),...a]),this.array[e][t]=i;for(const a of i)a.parent=this,a.treeBranch=[e,t];this.isDirty=!0}addRowBefore(e){const t=[];for(let e=0;e<this.colCount;e++)t.push(jt(this));this.array.splice(e,0,t);for(let t=e;t<this.rowCount;t++)for(let e=0;e<this.colCount;e++){const a=this.array[t][e];if(a)for(const i of a)i.treeBranch=[t,e]}this.isDirty=!0}addRowAfter(e){const t=[];for(let e=0;e<this.colCount;e++)t.push(jt(this));this.array.splice(e+1,0,t);for(let t=e+1;t<this.rowCount;t++)for(let e=0;e<this.colCount;e++){const a=this.array[t][e];if(a)for(const i of a)i.treeBranch=[t,e]}this.isDirty=!0}removeRow(e){const t=this.array.splice(e,1);for(const e of t)for(const t of e)if(t)for(const e of t)e.parent=void 0,e.treeBranch=void 0;for(let t=e;t<this.rowCount;t++)for(let e=0;e<this.colCount;e++){const a=this.array[t][e];if(a)for(const i of a)i.treeBranch=[t,e]}this.isDirty=!0}addColumnBefore(e){for(const t of this.array)t.splice(e,0,jt(this));for(let t=0;t<this.rowCount;t++)for(let a=e;a<this.colCount;a++){const e=this.array[t][a];if(e)for(const i of e)i.treeBranch=[t,a]}this.isDirty=!0}addColumnAfter(e){for(const t of this.array)t.splice(e+1,0,jt(this));for(let t=0;t<this.rowCount;t++)for(let a=e+1;a<this.colCount;a++){const e=this.array[t][a];if(e)for(const i of e)i.treeBranch=[t,a]}this.isDirty=!0}addColumn(){this.addColumnAfter(this.colCount-1)}removeColumn(e){for(const t of this.array){const a=t.splice(e,1);for(const e of a)if(e)for(const t of e)t.parent=void 0,t.treeBranch=void 0}for(let t=0;t<this.rowCount;t++)for(let a=e;a<this.colCount;a++){const e=this.array[t][a];if(e)for(const i of e)i.treeBranch=[t,a]}this.isDirty=!0}get cells(){const e=[];for(const t of this.array)for(const a of t)a&&e.push(a);return e}}function jt(e){const t=new dt("first",e.context,{mode:e.mode});t.parent=e;const a=new Kt(e.context,{mode:e.mode});return a.parent=e,[t,a]}function Wt(e){const t=new Ne(null,{classes:"arraycolsep"});return t.width=e,t}function Jt(e,t,a,i){if(!i)return null;const o=[];for(const r of t){const t=dt.createBox(e,i,{newList:!0});t&&(t.depth=r.depth,t.height=r.height,o.push({box:t,shift:r.pos-a}))}return new We({individualShift:o}).wrap(e)}class Ut extends dt{constructor(e,t,a){var i;super("composition",t,{mode:null!==(i=null==a?void 0:a.mode)&&void 0!==i?i:"math",value:e})}static fromJson(e,t){return new Ut(e.value,t,e)}toJson(){return super.toJson()}get computedStyle(){return{}}render(e){const t=new Ne(this.value,{classes:"ML__composition",type:"composition"});return this.bind(e,t),this.caret&&(t.caret=this.caret),t}serialize(e){return""}}class Xt extends dt{constructor(e,t,a){super("chem",a,{command:e,mode:"math"});const i=Zt.go(Gt.go(t,"\\pu"===e?"pu":"ce"),!1);this.body=Ft(i,a),this.verbatimLatex=e+"{"+t+"}",this.arg=t,this.captureSelection=!0}static fromJson(e,t){return new Xt(e.command,e.arg,t)}toJson(){return{...super.toJson(),arg:this.arg}}render(e){const t=dt.createBox(e,this.body,{type:"chem",newList:!0});return this.caret&&(t.caret=this.caret),this.bind(e,t)}serialize(e){return this.verbatimLatex}}R(["ce","pu"],"{chemformula:balanced-string}",{createAtom:(e,t,a,i)=>new Xt(e,t[0],i)});var Gt={go:function(e,t){if(!e)return[];void 0===t&&(t="ce");var a,i="0",o={parenthesisLevel:0};e=(e=(e=e.replace(/\n/g," ")).replace(/[\u2212\u2013\u2014\u2010]/g,"-")).replace(/[\u2026]/g,"...");for(var r=10,n=[];;){a!==e?(r=10,a=e):r--;var s=Gt.stateMachines[t],l=s.transitions[i]||s.transitions["*"];e:for(var d=0;d<l.length;d++){var c=Gt.patterns.match_(l[d].pattern,e);if(c){for(var u=l[d].task,p=0;p<u.action_.length;p++){var h;if(s.actions[u.action_[p].type_])h=s.actions[u.action_[p].type_](o,c.match_,u.action_[p].option);else{if(!Gt.actions[u.action_[p].type_])throw["MhchemBugA","mhchem bug A. Please report. ("+u.action_[p].type_+")"];h=Gt.actions[u.action_[p].type_](o,c.match_,u.action_[p].option)}Gt.concatArray(n,h)}if(i=u.nextState||i,!(e.length>0))return n;if(u.revisit||(e=c.remainder),!u.toContinue)break e}}if(r<=0)throw["MhchemBugU","mhchem bug U. Please report."]}},concatArray:function(e,t){if(t)if(Array.isArray(t))for(var a=0;a<t.length;a++)e.push(t[a]);else e.push(t)},patterns:{patterns:{empty:/^$/,else:/^./,else2:/^./,space:/^\s/,"space A":/^\s(?=[A-Z\\$])/,space$:/^\s$/,"a-z":/^[a-z]/,x:/^x/,x$:/^x$/,i$:/^i$/,letters:/^(?:[a-zA-Z\u03B1-\u03C9\u0391-\u03A9?@]|(?:\\(?:alpha|beta|gamma|delta|epsilon|zeta|eta|theta|iota|kappa|lambda|mu|nu|xi|omicron|pi|rho|sigma|tau|upsilon|phi|chi|psi|omega|Gamma|Delta|Theta|Lambda|Xi|Pi|Sigma|Upsilon|Phi|Psi|Omega)(?:\s+|\{\}|(?![a-zA-Z]))))+/,"\\greek":/^\\(?:alpha|beta|gamma|delta|epsilon|zeta|eta|theta|iota|kappa|lambda|mu|nu|xi|omicron|pi|rho|sigma|tau|upsilon|phi|chi|psi|omega|Gamma|Delta|Theta|Lambda|Xi|Pi|Sigma|Upsilon|Phi|Psi|Omega)(?:\s+|\{\}|(?![a-zA-Z]))/,"one lowercase latin letter $":/^(?:([a-z])(?:$|[^a-zA-Z]))$/,"$one lowercase latin letter$ $":/^\$(?:([a-z])(?:$|[^a-zA-Z]))\$$/,"one lowercase greek letter $":/^(?:\$?[\u03B1-\u03C9]\$?|\$?\\(?:alpha|beta|gamma|delta|epsilon|zeta|eta|theta|iota|kappa|lambda|mu|nu|xi|omicron|pi|rho|sigma|tau|upsilon|phi|chi|psi|omega)\s*\$?)(?:\s+|\{\}|(?![a-zA-Z]))$/,digits:/^[0-9]+/,"-9.,9":/^[+\-]?(?:[0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+))/,"-9.,9 no missing 0":/^[+\-]?[0-9]+(?:[.,][0-9]+)?/,"(-)(9.,9)(e)(99)":function(e){var t=e.match(/^(\+\-|\+\/\-|\+|\-|\\pm\s?)?([0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+))?(\((?:[0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+))\))?(?:([eE]|\s*(\*|x|\\times|\u00D7)\s*10\^)([+\-]?[0-9]+|\{[+\-]?[0-9]+\}))?/);return t&&t[0]?{match_:t.splice(1),remainder:e.substr(t[0].length)}:null},"(-)(9)^(-9)":function(e){var t=e.match(/^(\+\-|\+\/\-|\+|\-|\\pm\s?)?([0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+)?)\^([+\-]?[0-9]+|\{[+\-]?[0-9]+\})/);return t&&t[0]?{match_:t.splice(1),remainder:e.substr(t[0].length)}:null},"state of aggregation $":function(e){var t=Gt.patterns.findObserveGroups(e,"",/^\([a-z]{1,3}(?=[\),])/,")","");if(t&&t.remainder.match(/^($|[\s,;\)\]\}])/))return t;var a=e.match(/^(?:\((?:\\ca\s?)?\$[amothc]\$\))/);return a?{match_:a[0],remainder:e.substr(a[0].length)}:null},"_{(state of aggregation)}$":/^_\{(\([a-z]{1,3}\))\}/,"{[(":/^(?:\\\{|\[|\()/,")]}":/^(?:\)|\]|\\\})/,", ":/^[,;]\s*/,",":/^[,;]/,".":/^[.]/,". ":/^([.\u22C5\u00B7\u2022])\s*/,"...":/^\.\.\.(?=$|[^.])/,"* ":/^([*])\s*/,"^{(...)}":function(e){return Gt.patterns.findObserveGroups(e,"^{","","","}")},"^($...$)":function(e){return Gt.patterns.findObserveGroups(e,"^","$","$","")},"^a":/^\^([0-9]+|[^\\_])/,"^\\x{}{}":function(e){return Gt.patterns.findObserveGroups(e,"^",/^\\[a-zA-Z]+\{/,"}","","","{","}","",!0)},"^\\x{}":function(e){return Gt.patterns.findObserveGroups(e,"^",/^\\[a-zA-Z]+\{/,"}","")},"^\\x":/^\^(\\[a-zA-Z]+)\s*/,"^(-1)":/^\^(-?\d+)/,"'":/^'/,"_{(...)}":function(e){return Gt.patterns.findObserveGroups(e,"_{","","","}")},"_($...$)":function(e){return Gt.patterns.findObserveGroups(e,"_","$","$","")},_9:/^_([+\-]?[0-9]+|[^\\])/,"_\\x{}{}":function(e){return Gt.patterns.findObserveGroups(e,"_",/^\\[a-zA-Z]+\{/,"}","","","{","}","",!0)},"_\\x{}":function(e){return Gt.patterns.findObserveGroups(e,"_",/^\\[a-zA-Z]+\{/,"}","")},"_\\x":/^_(\\[a-zA-Z]+)\s*/,"^_":/^(?:\^(?=_)|\_(?=\^)|[\^_]$)/,"{}":/^\{\}/,"{...}":function(e){return Gt.patterns.findObserveGroups(e,"","{","}","")},"{(...)}":function(e){return Gt.patterns.findObserveGroups(e,"{","","","}")},"$...$":function(e){return Gt.patterns.findObserveGroups(e,"","$","$","")},"${(...)}$":function(e){return Gt.patterns.findObserveGroups(e,"${","","","}$")},"$(...)$":function(e){return Gt.patterns.findObserveGroups(e,"$","","","$")},"=<>":/^[=<>]/,"#":/^[#\u2261]/,"+":/^\+/,"-$":/^-(?=[\s_},;\]/]|$|\([a-z]+\))/,"-9":/^-(?=[0-9])/,"- orbital overlap":/^-(?=(?:[spd]|sp)(?:$|[\s,;\)\]\}]))/,"-":/^-/,"pm-operator":/^(?:\\pm|\$\\pm\$|\+-|\+\/-)/,operator:/^(?:\+|(?:[\-=<>]|<<|>>|\\approx|\$\\approx\$)(?=\s|$|-?[0-9]))/,arrowUpDown:/^(?:v|\(v\)|\^|\(\^\))(?=$|[\s,;\)\]\}])/,"\\bond{(...)}":function(e){return Gt.patterns.findObserveGroups(e,"\\bond{","","","}")},"->":/^(?:<->|<-->|->|<-|<=>>|<<=>|<=>|[\u2192\u27F6\u21CC])/,CMT:/^[CMT](?=\[)/,"[(...)]":function(e){return Gt.patterns.findObserveGroups(e,"[","","","]")},"1st-level escape":/^(&|\\\\|\\hline)\s*/,"\\,":/^(?:\\[,\ ;:])/,"\\x{}{}":function(e){return Gt.patterns.findObserveGroups(e,"",/^\\[a-zA-Z]+\{/,"}","","","{","}","",!0)},"\\x{}":function(e){return Gt.patterns.findObserveGroups(e,"",/^\\[a-zA-Z]+\{/,"}","")},"\\ca":/^\\ca(?:\s+|(?![a-zA-Z]))/,"\\x":/^(?:\\[a-zA-Z]+\s*|\\[_&{}%])/,orbital:/^(?:[0-9]{1,2}[spdfgh]|[0-9]{0,2}sp)(?=$|[^a-zA-Z])/,others:/^[\/~|]/,"\\frac{(...)}":function(e){return Gt.patterns.findObserveGroups(e,"\\frac{","","","}","{","","","}")},"\\overset{(...)}":function(e){return Gt.patterns.findObserveGroups(e,"\\overset{","","","}","{","","","}")},"\\underset{(...)}":function(e){return Gt.patterns.findObserveGroups(e,"\\underset{","","","}","{","","","}")},"\\underbrace{(...)}":function(e){return Gt.patterns.findObserveGroups(e,"\\underbrace{","","","}_","{","","","}")},"\\color{(...)}0":function(e){return Gt.patterns.findObserveGroups(e,"\\color{","","","}")},"\\color{(...)}{(...)}1":function(e){return Gt.patterns.findObserveGroups(e,"\\color{","","","}","{","","","}")},"\\color(...){(...)}2":function(e){return Gt.patterns.findObserveGroups(e,"\\color","\\","",/^(?=\{)/,"{","","","}")},"\\ce{(...)}":function(e){return Gt.patterns.findObserveGroups(e,"\\ce{","","","}")},oxidation$:/^(?:[+-][IVX]+|\\pm\s*0|\$\\pm\$\s*0)$/,"d-oxidation$":/^(?:[+-]?\s?[IVX]+|\\pm\s*0|\$\\pm\$\s*0)$/,"roman numeral":/^[IVX]+/,"1/2$":/^[+\-]?(?:[0-9]+|\$[a-z]\$|[a-z])\/[0-9]+(?:\$[a-z]\$|[a-z])?$/,amount:function(e){var t;if(t=e.match(/^(?:(?:(?:\([+\-]?[0-9]+\/[0-9]+\)|[+\-]?(?:[0-9]+|\$[a-z]\$|[a-z])\/[0-9]+|[+\-]?[0-9]+[.,][0-9]+|[+\-]?\.[0-9]+|[+\-]?[0-9]+)(?:[a-z](?=\s*[A-Z]))?)|[+\-]?[a-z](?=\s*[A-Z])|\+(?!\s))/))return{match_:t[0],remainder:e.substr(t[0].length)};var a=Gt.patterns.findObserveGroups(e,"","$","$","");return a&&(t=a.match_.match(/^\$(?:\(?[+\-]?(?:[0-9]*[a-z]?[+\-])?[0-9]*[a-z](?:[+\-][0-9]*[a-z]?)?\)?|\+|-)\$$/))?{match_:t[0],remainder:e.substr(t[0].length)}:null},amount2:function(e){return this.amount(e)},"(KV letters),":/^(?:[A-Z][a-z]{0,2}|i)(?=,)/,formula$:function(e){if(e.match(/^\([a-z]+\)$/))return null;var t=e.match(/^(?:[a-z]|(?:[0-9\ \+\-\,\.\(\)]+[a-z])+[0-9\ \+\-\,\.\(\)]*|(?:[a-z][0-9\ \+\-\,\.\(\)]+)+[a-z]?)$/);return t?{match_:t[0],remainder:e.substr(t[0].length)}:null},uprightEntities:/^(?:pH|pOH|pC|pK|iPr|iBu)(?=$|[^a-zA-Z])/,"/":/^\s*(\/)\s*/,"//":/^\s*(\/\/)\s*/,"*":/^\s*[*.]\s*/},findObserveGroups:function(e,t,a,i,o,r,n,s,l,d){var c=function(e,t){if("string"==typeof t)return 0!==e.indexOf(t)?null:t;var a=e.match(t);return a?a[0]:null},u=c(e,t);if(null===u)return null;if(e=e.substr(u.length),null===(u=c(e,a)))return null;var p=function(e,t,a){for(var i=0;t<e.length;){var o=e.charAt(t),r=c(e.substr(t),a);if(null!==r&&0===i)return{endMatchBegin:t,endMatchEnd:t+r.length};if("{"===o)i++;else if("}"===o){if(0===i)throw["ExtraCloseMissingOpen","Extra close brace or missing open brace"];i--}t++}return null}(e,u.length,i||o);if(null===p)return null;var h=e.substring(0,i?p.endMatchEnd:p.endMatchBegin);if(r||n){var m=this.findObserveGroups(e.substr(p.endMatchEnd),r,n,s,l);if(null===m)return null;var f=[h,m.match_];return{match_:d?f.join(""):f,remainder:m.remainder}}return{match_:h,remainder:e.substr(p.endMatchEnd)}},match_:function(e,t){var a=Gt.patterns.patterns[e];if(void 0===a)throw["MhchemBugP","mhchem bug P. Please report. ("+e+")"];if("function"==typeof a)return Gt.patterns.patterns[e](t);var i=t.match(a);return i?{match_:i[2]?[i[1],i[2]]:i[1]?i[1]:i[0],remainder:t.substr(i[0].length)}:null}},actions:{"a=":function(e,t){e.a=(e.a||"")+t},"b=":function(e,t){e.b=(e.b||"")+t},"p=":function(e,t){e.p=(e.p||"")+t},"o=":function(e,t){e.o=(e.o||"")+t},"q=":function(e,t){e.q=(e.q||"")+t},"d=":function(e,t){e.d=(e.d||"")+t},"rm=":function(e,t){e.rm=(e.rm||"")+t},"text=":function(e,t){e.text_=(e.text_||"")+t},insert:function(e,t,a){return{type_:a}},"insert+p1":function(e,t,a){return{type_:a,p1:t}},"insert+p1+p2":function(e,t,a){return{type_:a,p1:t[0],p2:t[1]}},copy:function(e,t){return t},rm:function(e,t){return{type_:"rm",p1:t||""}},text:function(e,t){return Gt.go(t,"text")},"{text}":function(e,t){var a=["{"];return Gt.concatArray(a,Gt.go(t,"text")),a.push("}"),a},"tex-math":function(e,t){return Gt.go(t,"tex-math")},"tex-math tight":function(e,t){return Gt.go(t,"tex-math tight")},bond:function(e,t,a){return{type_:"bond",kind_:a||t}},"color0-output":function(e,t){return{type_:"color0",color:t[0]}},ce:function(e,t){return Gt.go(t)},"1/2":function(e,t){var a=[];t.match(/^[+\-]/)&&(a.push(t.substr(0,1)),t=t.substr(1));var i=t.match(/^([0-9]+|\$[a-z]\$|[a-z])\/([0-9]+)(\$[a-z]\$|[a-z])?$/);return i[1]=i[1].replace(/\$/g,""),a.push({type_:"frac",p1:i[1],p2:i[2]}),i[3]&&(i[3]=i[3].replace(/\$/g,""),a.push({type_:"tex-math",p1:i[3]})),a},"9,9":function(e,t){return Gt.go(t,"9,9")}},createTransitions:function(e){var t,a,i,o,r={};for(t in e)for(a in e[t])for(i=a.split("|"),e[t][a].stateArray=i,o=0;o<i.length;o++)r[i[o]]=[];for(t in e)for(a in e[t])for(i=e[t][a].stateArray||[],o=0;o<i.length;o++){var n=e[t][a];if(n.action_){n.action_=[].concat(n.action_);for(var s=0;s<n.action_.length;s++)"string"==typeof n.action_[s]&&(n.action_[s]={type_:n.action_[s]})}else n.action_=[];for(var l=t.split("|"),d=0;d<l.length;d++)if("*"===i[o])for(var c in r)r[c].push({pattern:l[d],task:n});else r[i[o]].push({pattern:l[d],task:n})}return r},stateMachines:{}};Gt.stateMachines={ce:{transitions:Gt.createTransitions({empty:{"*":{action_:"output"}},else:{"0|1|2":{action_:"beginsWithBond=false",revisit:!0,toContinue:!0}},oxidation$:{0:{action_:"oxidation-output"}},CMT:{r:{action_:"rdt=",nextState:"rt"},rd:{action_:"rqt=",nextState:"rdt"}},arrowUpDown:{"0|1|2|as":{action_:["sb=false","output","operator"],nextState:"1"}},uprightEntities:{"0|1|2":{action_:["o=","output"],nextState:"1"}},orbital:{"0|1|2|3":{action_:"o=",nextState:"o"}},"->":{"0|1|2|3":{action_:"r=",nextState:"r"},"a|as":{action_:["output","r="],nextState:"r"},"*":{action_:["output","r="],nextState:"r"}},"+":{o:{action_:"d= kv",nextState:"d"},"d|D":{action_:"d=",nextState:"d"},q:{action_:"d=",nextState:"qd"},"qd|qD":{action_:"d=",nextState:"qd"},dq:{action_:["output","d="],nextState:"d"},3:{action_:["sb=false","output","operator"],nextState:"0"}},amount:{"0|2":{action_:"a=",nextState:"a"}},"pm-operator":{"0|1|2|a|as":{action_:["sb=false","output",{type_:"operator",option:"\\pm"}],nextState:"0"}},operator:{"0|1|2|a|as":{action_:["sb=false","output","operator"],nextState:"0"}},"-$":{"o|q":{action_:["charge or bond","output"],nextState:"qd"},d:{action_:"d=",nextState:"d"},D:{action_:["output",{type_:"bond",option:"-"}],nextState:"3"},q:{action_:"d=",nextState:"qd"},qd:{action_:"d=",nextState:"qd"},"qD|dq":{action_:["output",{type_:"bond",option:"-"}],nextState:"3"}},"-9":{"3|o":{action_:["output",{type_:"insert",option:"hyphen"}],nextState:"3"}},"- orbital overlap":{o:{action_:["output",{type_:"insert",option:"hyphen"}],nextState:"2"},d:{action_:["output",{type_:"insert",option:"hyphen"}],nextState:"2"}},"-":{"0|1|2":{action_:[{type_:"output",option:1},"beginsWithBond=true",{type_:"bond",option:"-"}],nextState:"3"},3:{action_:{type_:"bond",option:"-"}},a:{action_:["output",{type_:"insert",option:"hyphen"}],nextState:"2"},as:{action_:[{type_:"output",option:2},{type_:"bond",option:"-"}],nextState:"3"},b:{action_:"b="},o:{action_:{type_:"- after o/d",option:!1},nextState:"2"},q:{action_:{type_:"- after o/d",option:!1},nextState:"2"},"d|qd|dq":{action_:{type_:"- after o/d",option:!0},nextState:"2"},"D|qD|p":{action_:["output",{type_:"bond",option:"-"}],nextState:"3"}},amount2:{"1|3":{action_:"a=",nextState:"a"}},letters:{"0|1|2|3|a|as|b|p|bp|o":{action_:"o=",nextState:"o"},"q|dq":{action_:["output","o="],nextState:"o"},"d|D|qd|qD":{action_:"o after d",nextState:"o"}},digits:{o:{action_:"q=",nextState:"q"},"d|D":{action_:"q=",nextState:"dq"},q:{action_:["output","o="],nextState:"o"},a:{action_:"o=",nextState:"o"}},"space A":{"b|p|bp":{}},space:{a:{nextState:"as"},0:{action_:"sb=false"},"1|2":{action_:"sb=true"},"r|rt|rd|rdt|rdq":{action_:"output",nextState:"0"},"*":{action_:["output","sb=true"],nextState:"1"}},"1st-level escape":{"1|2":{action_:["output",{type_:"insert+p1",option:"1st-level escape"}]},"*":{action_:["output",{type_:"insert+p1",option:"1st-level escape"}],nextState:"0"}},"[(...)]":{"r|rt":{action_:"rd=",nextState:"rd"},"rd|rdt":{action_:"rq=",nextState:"rdq"}},"...":{"o|d|D|dq|qd|qD":{action_:["output",{type_:"bond",option:"..."}],nextState:"3"},"*":{action_:[{type_:"output",option:1},{type_:"insert",option:"ellipsis"}],nextState:"1"}},". |* ":{"*":{action_:["output",{type_:"insert",option:"addition compound"}],nextState:"1"}},"state of aggregation $":{"*":{action_:["output","state of aggregation"],nextState:"1"}},"{[(":{"a|as|o":{action_:["o=","output","parenthesisLevel++"],nextState:"2"},"0|1|2|3":{action_:["o=","output","parenthesisLevel++"],nextState:"2"},"*":{action_:["output","o=","output","parenthesisLevel++"],nextState:"2"}},")]}":{"0|1|2|3|b|p|bp|o":{action_:["o=","parenthesisLevel--"],nextState:"o"},"a|as|d|D|q|qd|qD|dq":{action_:["output","o=","parenthesisLevel--"],nextState:"o"}},", ":{"*":{action_:["output","comma"],nextState:"0"}},"^_":{"*":{}},"^{(...)}|^($...$)":{"0|1|2|as":{action_:"b=",nextState:"b"},p:{action_:"b=",nextState:"bp"},"3|o":{action_:"d= kv",nextState:"D"},q:{action_:"d=",nextState:"qD"},"d|D|qd|qD|dq":{action_:["output","d="],nextState:"D"}},"^a|^\\x{}{}|^\\x{}|^\\x|'":{"0|1|2|as":{action_:"b=",nextState:"b"},p:{action_:"b=",nextState:"bp"},"3|o":{action_:"d= kv",nextState:"d"},q:{action_:"d=",nextState:"qd"},"d|qd|D|qD":{action_:"d="},dq:{action_:["output","d="],nextState:"d"}},"_{(state of aggregation)}$":{"d|D|q|qd|qD|dq":{action_:["output","q="],nextState:"q"}},"_{(...)}|_($...$)|_9|_\\x{}{}|_\\x{}|_\\x":{"0|1|2|as":{action_:"p=",nextState:"p"},b:{action_:"p=",nextState:"bp"},"3|o":{action_:"q=",nextState:"q"},"d|D":{action_:"q=",nextState:"dq"},"q|qd|qD|dq":{action_:["output","q="],nextState:"q"}},"=<>":{"0|1|2|3|a|as|o|q|d|D|qd|qD|dq":{action_:[{type_:"output",option:2},"bond"],nextState:"3"}},"#":{"0|1|2|3|a|as|o":{action_:[{type_:"output",option:2},{type_:"bond",option:"#"}],nextState:"3"}},"{}":{"*":{action_:{type_:"output",option:1},nextState:"1"}},"{...}":{"0|1|2|3|a|as|b|p|bp":{action_:"o=",nextState:"o"},"o|d|D|q|qd|qD|dq":{action_:["output","o="],nextState:"o"}},"$...$":{a:{action_:"a="},"0|1|2|3|as|b|p|bp|o":{action_:"o=",nextState:"o"},"as|o":{action_:"o="},"q|d|D|qd|qD|dq":{action_:["output","o="],nextState:"o"}},"\\bond{(...)}":{"*":{action_:[{type_:"output",option:2},"bond"],nextState:"3"}},"\\frac{(...)}":{"*":{action_:[{type_:"output",option:1},"frac-output"],nextState:"3"}},"\\overset{(...)}":{"*":{action_:[{type_:"output",option:2},"overset-output"],nextState:"3"}},"\\underset{(...)}":{"*":{action_:[{type_:"output",option:2},"underset-output"],nextState:"3"}},"\\underbrace{(...)}":{"*":{action_:[{type_:"output",option:2},"underbrace-output"],nextState:"3"}},"\\color{(...)}{(...)}1|\\color(...){(...)}2":{"*":{action_:[{type_:"output",option:2},"color-output"],nextState:"3"}},"\\color{(...)}0":{"*":{action_:[{type_:"output",option:2},"color0-output"]}},"\\ce{(...)}":{"*":{action_:[{type_:"output",option:2},"ce"],nextState:"3"}},"\\,":{"*":{action_:[{type_:"output",option:1},"copy"],nextState:"1"}},"\\x{}{}|\\x{}|\\x":{"0|1|2|3|a|as|b|p|bp|o|c0":{action_:["o=","output"],nextState:"3"},"*":{action_:["output","o=","output"],nextState:"3"}},others:{"*":{action_:[{type_:"output",option:1},"copy"],nextState:"3"}},else2:{a:{action_:"a to o",nextState:"o",revisit:!0},as:{action_:["output","sb=true"],nextState:"1",revisit:!0},"r|rt|rd|rdt|rdq":{action_:["output"],nextState:"0",revisit:!0},"*":{action_:["output","copy"],nextState:"3"}}}),actions:{"o after d":function(e,t){var a;if((e.d||"").match(/^[0-9]+$/)){var i=e.d;e.d=void 0,a=this.output(e),e.b=i}else a=this.output(e);return Gt.actions["o="](e,t),a},"d= kv":function(e,t){e.d=t,e.dType="kv"},"charge or bond":function(e,t){if(e.beginsWithBond){var a=[];return Gt.concatArray(a,this.output(e)),Gt.concatArray(a,Gt.actions.bond(e,t,"-")),a}e.d=t},"- after o/d":function(e,t,a){var i=Gt.patterns.match_("orbital",e.o||""),o=Gt.patterns.match_("one lowercase greek letter $",e.o||""),r=Gt.patterns.match_("one lowercase latin letter $",e.o||""),n=Gt.patterns.match_("$one lowercase latin letter$ $",e.o||""),s="-"===t&&(i&&""===i.remainder||o||r||n);!s||e.a||e.b||e.p||e.d||e.q||i||!r||(e.o="$"+e.o+"$");var l=[];return s?(Gt.concatArray(l,this.output(e)),l.push({type_:"hyphen"})):(i=Gt.patterns.match_("digits",e.d||""),a&&i&&""===i.remainder?(Gt.concatArray(l,Gt.actions["d="](e,t)),Gt.concatArray(l,this.output(e))):(Gt.concatArray(l,this.output(e)),Gt.concatArray(l,Gt.actions.bond(e,t,"-")))),l},"a to o":function(e){e.o=e.a,e.a=void 0},"sb=true":function(e){e.sb=!0},"sb=false":function(e){e.sb=!1},"beginsWithBond=true":function(e){e.beginsWithBond=!0},"beginsWithBond=false":function(e){e.beginsWithBond=!1},"parenthesisLevel++":function(e){e.parenthesisLevel++},"parenthesisLevel--":function(e){e.parenthesisLevel--},"state of aggregation":function(e,t){return{type_:"state of aggregation",p1:Gt.go(t,"o")}},comma:function(e,t){var a=t.replace(/\s*$/,"");return a!==t&&0===e.parenthesisLevel?{type_:"comma enumeration L",p1:a}:{type_:"comma enumeration M",p1:a}},output:function(e,t,a){var i,o,r;for(var n in e.r?(o="M"===e.rdt?Gt.go(e.rd,"tex-math"):"T"===e.rdt?[{type_:"text",p1:e.rd||""}]:Gt.go(e.rd),r="M"===e.rqt?Gt.go(e.rq,"tex-math"):"T"===e.rqt?[{type_:"text",p1:e.rq||""}]:Gt.go(e.rq),i={type_:"arrow",r:e.r,rd:o,rq:r}):(i=[],(e.a||e.b||e.p||e.o||e.q||e.d||a)&&(e.sb&&i.push({type_:"entitySkip"}),e.o||e.q||e.d||e.b||e.p||2===a?e.o||e.q||e.d||!e.b&&!e.p?e.o&&"kv"===e.dType&&Gt.patterns.match_("d-oxidation$",e.d||"")?e.dType="oxidation":e.o&&"kv"===e.dType&&!e.q&&(e.dType=void 0):(e.o=e.a,e.d=e.b,e.q=e.p,e.a=e.b=e.p=void 0):(e.o=e.a,e.a=void 0),i.push({type_:"chemfive",a:Gt.go(e.a,"a"),b:Gt.go(e.b,"bd"),p:Gt.go(e.p,"pq"),o:Gt.go(e.o,"o"),q:Gt.go(e.q,"pq"),d:Gt.go(e.d,"oxidation"===e.dType?"oxidation":"bd"),dType:e.dType}))),e)"parenthesisLevel"!==n&&"beginsWithBond"!==n&&delete e[n];return i},"oxidation-output":function(e,t){var a=["{"];return Gt.concatArray(a,Gt.go(t,"oxidation")),a.push("}"),a},"frac-output":function(e,t){return{type_:"frac-ce",p1:Gt.go(t[0]),p2:Gt.go(t[1])}},"overset-output":function(e,t){return{type_:"overset",p1:Gt.go(t[0]),p2:Gt.go(t[1])}},"underset-output":function(e,t){return{type_:"underset",p1:Gt.go(t[0]),p2:Gt.go(t[1])}},"underbrace-output":function(e,t){return{type_:"underbrace",p1:Gt.go(t[0]),p2:Gt.go(t[1])}},"color-output":function(e,t){return{type_:"color",color1:t[0],color2:Gt.go(t[1])}},"r=":function(e,t){e.r=t},"rdt=":function(e,t){e.rdt=t},"rd=":function(e,t){e.rd=t},"rqt=":function(e,t){e.rqt=t},"rq=":function(e,t){e.rq=t},operator:function(e,t,a){return{type_:"operator",kind_:a||t}}}},a:{transitions:Gt.createTransitions({empty:{"*":{}},"1/2$":{0:{action_:"1/2"}},else:{0:{nextState:"1",revisit:!0}},"$(...)$":{"*":{action_:"tex-math tight",nextState:"1"}},",":{"*":{action_:{type_:"insert",option:"commaDecimal"}}},else2:{"*":{action_:"copy"}}}),actions:{}},o:{transitions:Gt.createTransitions({empty:{"*":{}},"1/2$":{0:{action_:"1/2"}},else:{0:{nextState:"1",revisit:!0}},letters:{"*":{action_:"rm"}},"\\ca":{"*":{action_:{type_:"insert",option:"circa"}}},"\\x{}{}|\\x{}|\\x":{"*":{action_:"copy"}},"${(...)}$|$(...)$":{"*":{action_:"tex-math"}},"{(...)}":{"*":{action_:"{text}"}},else2:{"*":{action_:"copy"}}}),actions:{}},text:{transitions:Gt.createTransitions({empty:{"*":{action_:"output"}},"{...}":{"*":{action_:"text="}},"${(...)}$|$(...)$":{"*":{action_:"tex-math"}},"\\greek":{"*":{action_:["output","rm"]}},"\\,|\\x{}{}|\\x{}|\\x":{"*":{action_:["output","copy"]}},else:{"*":{action_:"text="}}}),actions:{output:function(e){if(e.text_){var t={type_:"text",p1:e.text_};for(var a in e)delete e[a];return t}}}},pq:{transitions:Gt.createTransitions({empty:{"*":{}},"state of aggregation $":{"*":{action_:"state of aggregation"}},i$:{0:{nextState:"!f",revisit:!0}},"(KV letters),":{0:{action_:"rm",nextState:"0"}},formula$:{0:{nextState:"f",revisit:!0}},"1/2$":{0:{action_:"1/2"}},else:{0:{nextState:"!f",revisit:!0}},"${(...)}$|$(...)$":{"*":{action_:"tex-math"}},"{(...)}":{"*":{action_:"text"}},"a-z":{f:{action_:"tex-math"}},letters:{"*":{action_:"rm"}},"-9.,9":{"*":{action_:"9,9"}},",":{"*":{action_:{type_:"insert+p1",option:"comma enumeration S"}}},"\\color{(...)}{(...)}1|\\color(...){(...)}2":{"*":{action_:"color-output"}},"\\color{(...)}0":{"*":{action_:"color0-output"}},"\\ce{(...)}":{"*":{action_:"ce"}},"\\,|\\x{}{}|\\x{}|\\x":{"*":{action_:"copy"}},else2:{"*":{action_:"copy"}}}),actions:{"state of aggregation":function(e,t){return{type_:"state of aggregation subscript",p1:Gt.go(t,"o")}},"color-output":function(e,t){return{type_:"color",color1:t[0],color2:Gt.go(t[1],"pq")}}}},bd:{transitions:Gt.createTransitions({empty:{"*":{}},x$:{0:{nextState:"!f",revisit:!0}},formula$:{0:{nextState:"f",revisit:!0}},else:{0:{nextState:"!f",revisit:!0}},"-9.,9 no missing 0":{"*":{action_:"9,9"}},".":{"*":{action_:{type_:"insert",option:"electron dot"}}},"a-z":{f:{action_:"tex-math"}},x:{"*":{action_:{type_:"insert",option:"KV x"}}},letters:{"*":{action_:"rm"}},"'":{"*":{action_:{type_:"insert",option:"prime"}}},"${(...)}$|$(...)$":{"*":{action_:"tex-math"}},"{(...)}":{"*":{action_:"text"}},"\\color{(...)}{(...)}1|\\color(...){(...)}2":{"*":{action_:"color-output"}},"\\color{(...)}0":{"*":{action_:"color0-output"}},"\\ce{(...)}":{"*":{action_:"ce"}},"\\,|\\x{}{}|\\x{}|\\x":{"*":{action_:"copy"}},else2:{"*":{action_:"copy"}}}),actions:{"color-output":function(e,t){return{type_:"color",color1:t[0],color2:Gt.go(t[1],"bd")}}}},oxidation:{transitions:Gt.createTransitions({empty:{"*":{}},"roman numeral":{"*":{action_:"roman-numeral"}},"${(...)}$|$(...)$":{"*":{action_:"tex-math"}},else:{"*":{action_:"copy"}}}),actions:{"roman-numeral":function(e,t){return{type_:"roman numeral",p1:t||""}}}},"tex-math":{transitions:Gt.createTransitions({empty:{"*":{action_:"output"}},"\\ce{(...)}":{"*":{action_:["output","ce"]}},"{...}|\\,|\\x{}{}|\\x{}|\\x":{"*":{action_:"o="}},else:{"*":{action_:"o="}}}),actions:{output:function(e){if(e.o){var t={type_:"tex-math",p1:e.o};for(var a in e)delete e[a];return t}}}},"tex-math tight":{transitions:Gt.createTransitions({empty:{"*":{action_:"output"}},"\\ce{(...)}":{"*":{action_:["output","ce"]}},"{...}|\\,|\\x{}{}|\\x{}|\\x":{"*":{action_:"o="}},"-|+":{"*":{action_:"tight operator"}},else:{"*":{action_:"o="}}}),actions:{"tight operator":function(e,t){e.o=(e.o||"")+"{"+t+"}"},output:function(e){if(e.o){var t={type_:"tex-math",p1:e.o};for(var a in e)delete e[a];return t}}}},"9,9":{transitions:Gt.createTransitions({empty:{"*":{}},",":{"*":{action_:"comma"}},else:{"*":{action_:"copy"}}}),actions:{comma:function(){return{type_:"commaDecimal"}}}},pu:{transitions:Gt.createTransitions({empty:{"*":{action_:"output"}},space$:{"*":{action_:["output","space"]}},"{[(|)]}":{"0|a":{action_:"copy"}},"(-)(9)^(-9)":{0:{action_:"number^",nextState:"a"}},"(-)(9.,9)(e)(99)":{0:{action_:"enumber",nextState:"a"}},space:{"0|a":{}},"pm-operator":{"0|a":{action_:{type_:"operator",option:"\\pm"},nextState:"0"}},operator:{"0|a":{action_:"copy",nextState:"0"}},"//":{d:{action_:"o=",nextState:"/"}},"/":{d:{action_:"o=",nextState:"/"}},"{...}|else":{"0|d":{action_:"d=",nextState:"d"},a:{action_:["space","d="],nextState:"d"},"/|q":{action_:"q=",nextState:"q"}}}),actions:{enumber:function(e,t){var a=[];return"+-"===t[0]||"+/-"===t[0]?a.push("\\pm "):t[0]&&a.push(t[0]),t[1]&&(Gt.concatArray(a,Gt.go(t[1],"pu-9,9")),t[2]&&(t[2].match(/[,.]/)?Gt.concatArray(a,Gt.go(t[2],"pu-9,9")):a.push(t[2])),t[3]=t[4]||t[3],t[3]&&(t[3]=t[3].trim(),"e"===t[3]||"*"===t[3].substr(0,1)?a.push({type_:"cdot"}):a.push({type_:"times"}))),t[3]&&a.push("10^{"+t[5]+"}"),a},"number^":function(e,t){var a=[];return"+-"===t[0]||"+/-"===t[0]?a.push("\\pm "):t[0]&&a.push(t[0]),Gt.concatArray(a,Gt.go(t[1],"pu-9,9")),a.push("^{"+t[2]+"}"),a},operator:function(e,t,a){return{type_:"operator",kind_:a||t}},space:function(){return{type_:"pu-space-1"}},output:function(e){var t,a=Gt.patterns.match_("{(...)}",e.d||"");a&&""===a.remainder&&(e.d=a.match_);var i=Gt.patterns.match_("{(...)}",e.q||"");if(i&&""===i.remainder&&(e.q=i.match_),e.d&&(e.d=e.d.replace(/\u00B0C|\^oC|\^{o}C/g,"{}^{\\circ}C"),e.d=e.d.replace(/\u00B0F|\^oF|\^{o}F/g,"{}^{\\circ}F")),e.q){e.q=e.q.replace(/\u00B0C|\^oC|\^{o}C/g,"{}^{\\circ}C"),e.q=e.q.replace(/\u00B0F|\^oF|\^{o}F/g,"{}^{\\circ}F");var o={d:Gt.go(e.d,"pu"),q:Gt.go(e.q,"pu")};"//"===e.o?t={type_:"pu-frac",p1:o.d,p2:o.q}:(t=o.d,o.d.length>1||o.q.length>1?t.push({type_:" / "}):t.push({type_:"/"}),Gt.concatArray(t,o.q))}else t=Gt.go(e.d,"pu-2");for(var r in e)delete e[r];return t}}},"pu-2":{transitions:Gt.createTransitions({empty:{"*":{action_:"output"}},"*":{"*":{action_:["output","cdot"],nextState:"0"}},"\\x":{"*":{action_:"rm="}},space:{"*":{action_:["output","space"],nextState:"0"}},"^{(...)}|^(-1)":{1:{action_:"^(-1)"}},"-9.,9":{0:{action_:"rm=",nextState:"0"},1:{action_:"^(-1)",nextState:"0"}},"{...}|else":{"*":{action_:"rm=",nextState:"1"}}}),actions:{cdot:function(){return{type_:"tight cdot"}},"^(-1)":function(e,t){e.rm+="^{"+t+"}"},space:function(){return{type_:"pu-space-2"}},output:function(e){var t=[];if(e.rm){var a=Gt.patterns.match_("{(...)}",e.rm||"");t=a&&""===a.remainder?Gt.go(a.match_,"pu"):{type_:"rm",p1:e.rm}}for(var i in e)delete e[i];return t}}},"pu-9,9":{transitions:Gt.createTransitions({empty:{0:{action_:"output-0"},o:{action_:"output-o"}},",":{0:{action_:["output-0","comma"],nextState:"o"}},".":{0:{action_:["output-0","copy"],nextState:"o"}},else:{"*":{action_:"text="}}}),actions:{comma:function(){return{type_:"commaDecimal"}},"output-0":function(e){var t=[];if(e.text_=e.text_||"",e.text_.length>4){var a=e.text_.length%3;0===a&&(a=3);for(var i=e.text_.length-3;i>0;i-=3)t.push(e.text_.substr(i,3)),t.push({type_:"1000 separator"});t.push(e.text_.substr(0,a)),t.reverse()}else t.push(e.text_);for(var o in e)delete e[o];return t},"output-o":function(e){var t=[];if(e.text_=e.text_||"",e.text_.length>4){for(var a=e.text_.length-3,i=0;i<a;i+=3)t.push(e.text_.substr(i,3)),t.push({type_:"1000 separator"});t.push(e.text_.substr(i))}else t.push(e.text_);for(var o in e)delete e[o];return t}}}};var Zt={go:function(e,t){if(!e)return"";for(var a="",i=!1,o=0;o<e.length;o++){var r=e[o];"string"==typeof r?a+=r:(a+=Zt._go2(r),"1st-level escape"===r.type_&&(i=!0))}return t||i||!a||(a="{"+a+"}"),a},_goInner:function(e){return e?Zt.go(e,!0):e},_go2:function(e){var t;switch(e.type_){case"chemfive":t="";var a={a:Zt._goInner(e.a),b:Zt._goInner(e.b),p:Zt._goInner(e.p),o:Zt._goInner(e.o),q:Zt._goInner(e.q),d:Zt._goInner(e.d)};a.a&&(a.a.match(/^[+\-]/)&&(a.a="{"+a.a+"}"),t+=a.a+"\\,"),(a.b||a.p)&&(t+="{\\vphantom{X}}",t+="^{\\hphantom{"+(a.b||"")+"}}_{\\hphantom{"+(a.p||"")+"}}",t+="{\\vphantom{X}}",t+="^{\\smash[t]{\\vphantom{2}}\\mathllap{"+(a.b||"")+"}}",t+="_{\\vphantom{2}\\mathllap{\\smash[t]{"+(a.p||"")+"}}}"),a.o&&(a.o.match(/^[+\-]/)&&(a.o="{"+a.o+"}"),t+=a.o),"kv"===e.dType?((a.d||a.q)&&(t+="{\\vphantom{X}}"),a.d&&(t+="^{"+a.d+"}"),a.q&&(t+="_{\\smash[t]{"+a.q+"}}")):"oxidation"===e.dType?(a.d&&(t+="{\\vphantom{X}}",t+="^{"+a.d+"}"),a.q&&(t+="{\\vphantom{X}}",t+="_{\\smash[t]{"+a.q+"}}")):(a.q&&(t+="{\\vphantom{X}}",t+="_{\\smash[t]{"+a.q+"}}"),a.d&&(t+="{\\vphantom{X}}",t+="^{"+a.d+"}"));break;case"rm":case"roman numeral":t="\\mathrm{"+e.p1+"}";break;case"text":e.p1.match(/[\^_]/)?(e.p1=e.p1.replace(" ","~").replace("-","\\text{-}"),t="\\mathrm{"+e.p1+"}"):t="\\text{"+e.p1+"}";break;case"state of aggregation":t="\\mskip2mu "+Zt._goInner(e.p1);break;case"state of aggregation subscript":t="\\mskip1mu "+Zt._goInner(e.p1);break;case"bond":if(!(t=Zt._getBond(e.kind_)))throw["MhchemErrorBond","mhchem Error. Unknown bond type ("+e.kind_+")"];break;case"frac":var i="\\frac{"+e.p1+"}{"+e.p2+"}";t="\\mathchoice{\\textstyle"+i+"}{"+i+"}{"+i+"}{"+i+"}";break;case"pu-frac":var o="\\frac{"+Zt._goInner(e.p1)+"}{"+Zt._goInner(e.p2)+"}";t="\\mathchoice{\\textstyle"+o+"}{"+o+"}{"+o+"}{"+o+"}";break;case"tex-math":case"1st-level escape":t=e.p1+" ";break;case"frac-ce":t="\\frac{"+Zt._goInner(e.p1)+"}{"+Zt._goInner(e.p2)+"}";break;case"overset":t="\\overset{"+Zt._goInner(e.p1)+"}{"+Zt._goInner(e.p2)+"}";break;case"underset":t="\\underset{"+Zt._goInner(e.p1)+"}{"+Zt._goInner(e.p2)+"}";break;case"underbrace":t="\\underbrace{"+Zt._goInner(e.p1)+"}_{"+Zt._goInner(e.p2)+"}";break;case"color":t="{\\color{"+e.color1+"}{"+Zt._goInner(e.color2)+"}}";break;case"color0":t="\\color{"+e.color+"}";break;case"arrow":var r={rd:Zt._goInner(e.rd),rq:Zt._goInner(e.rq)},n="\\x"+Zt._getArrow(e.r);r.rq&&(n+="[{"+r.rq+"}]"),t=n+=r.rd?"{"+r.rd+"}":"{}";break;case"operator":t=Zt._getOperator(e.kind_);break;case"space":t=" ";break;case"entitySkip":case"pu-space-1":t="~";break;case"pu-space-2":t="\\mkern3mu ";break;case"1000 separator":t="\\mkern2mu ";break;case"commaDecimal":t="{,}";break;case"comma enumeration L":t="{"+e.p1+"}\\mkern6mu ";break;case"comma enumeration M":t="{"+e.p1+"}\\mkern3mu ";break;case"comma enumeration S":t="{"+e.p1+"}\\mkern1mu ";break;case"hyphen":t="\\text{-}";break;case"addition compound":t="\\,{\\cdot}\\,";break;case"electron dot":t="\\mkern1mu \\bullet\\mkern1mu ";break;case"KV x":t="{\\times}";break;case"prime":t="\\prime ";break;case"cdot":t="\\cdot ";break;case"tight cdot":t="\\mkern1mu{\\cdot}\\mkern1mu ";break;case"times":t="\\times ";break;case"circa":t="{\\sim}";break;case"^":t="uparrow";break;case"v":t="downarrow";break;case"ellipsis":t="\\ldots ";break;case"/":t="/";break;case" / ":t="\\,/\\,";break;default:throw["MhchemBugT","mhchem bug T. Please report."]}return t},_getArrow:function(e){switch(e){case"->":case"\u2192":case"\u27f6":return"rightarrow";case"<-":return"leftarrow";case"<->":return"leftrightarrow";case"<--\x3e":return"rightleftarrows";case"<=>":case"\u21cc":return"rightleftharpoons";case"<=>>":return"rightequilibrium";case"<<=>":return"leftequilibrium";default:throw["MhchemBugT","mhchem bug T. Please report."]}},_getBond:function(e){switch(e){case"-":case"1":return"{-}";case"=":case"2":return"{=}";case"#":case"3":return"{\\equiv}";case"~":return"{\\tripledash}";case"~-":return"{\\mathrlap{\\raisebox{-.1em}{$-$}}\\raisebox{.1em}{$\\tripledash$}}";case"~=":case"~--":return"{\\mathrlap{\\raisebox{-.2em}{$-$}}\\mathrlap{\\raisebox{.2em}{$\\tripledash$}}-}";case"-~-":return"{\\mathrlap{\\raisebox{-.2em}{$-$}}\\mathrlap{\\raisebox{.2em}{$-$}}\\tripledash}";case"...":return"{{\\cdot}{\\cdot}{\\cdot}}";case"....":return"{{\\cdot}{\\cdot}{\\cdot}{\\cdot}}";case"->":return"{\\rightarrow}";case"<-":return"{\\leftarrow}";case"<":return"{<}";case">":return"{>}";default:throw["MhchemBugT","mhchem bug T. Please report."]}},_getOperator:function(e){switch(e){case"+":return" {}+{} ";case"-":return" {}-{} ";case"=":return" {}={} ";case"<":return" {}<{} ";case">":return" {}>{} ";case"<<":return" {}\\ll{} ";case">>":return" {}\\gg{} ";case"\\pm":return" {}\\pm{} ";case"\\approx":case"$\\approx$":return" {}\\approx{} ";case"v":case"(v)":return" \\downarrow{} ";case"^":case"(^)":return" \\uparrow{} ";default:throw["MhchemBugT","mhchem bug T. Please report."]}}};class Yt extends dt{constructor(e,t,a,i){super("delim",a,{command:e,style:null==i?void 0:i.style}),this.value=t,this.size=null==i?void 0:i.size}static fromJson(e,t){return new Yt(e.command,e.delim,t,e)}toJson(){return{...super.toJson(),delim:this.value,size:this.size}}render(e){const t=new Ne(null);return t.delim=this.value,t}serialize(e){return 1===this.value.length?this.command+this.value:`${this.command}{${this.value}}`}}class Qt extends dt{constructor(e,t,a,i){super("sizeddelim",a,{command:e,style:i.style}),this.value=t,this.delimClass=i.delimClass,this.size=i.size}static fromJson(e,t){return new Qt(e.command,e.delim,t,e)}toJson(){return{...super.toJson(),delim:this.value,size:this.size,delimClass:this.delimClass}}render(e){let t=function(e,t,a,i){var o;return void 0===e||"."===e?Ct(a,null!==(o=i.type)&&void 0!==o?o:"minner",i.classes):("<"===e||"\\lt"===e||"\u27e8"===e?e="\\langle":">"!==e&&"\\gt"!==e&&"\u27e9"!==e||(e="\\rangle"),gt.has(e)||kt.has(e)?yt(e,t,!1,a,i):vt.has(e)?bt(e,xt[t],!1,a,i):null)}(this.value,this.size,e,{classes:this.delimClass});return t?(t=this.bind(e,t),this.caret&&(t.caret=this.caret),t):null}serialize(e){return 1===this.value.length?this.command+this.value:`${this.command}{${this.value}}`}}class ea extends dt{constructor(e,t,a,i,o){super("enclose",i,{command:e,style:o.style}),this.body=t,this.backgroundcolor=o.backgroundcolor,a.updiagonalarrow&&(a.updiagonalstrike=!1),a.box&&(a.left=!1,a.right=!1,a.bottom=!1,a.top=!1),this.notation=a,this.shadow=o.shadow,this.strokeWidth=o.strokeWidth,this.strokeStyle=o.strokeStyle,this.svgStrokeStyle=o.svgStrokeStyle,this.strokeColor=o.strokeColor,this.borderStyle=o.borderStyle,this.padding=o.padding,this.captureSelection=!0}static fromJson(e,t){return new ea(e.command,e.body,e.notation,t,e)}toJson(){const e={};return this.notation.downdiagonalstrike&&(e.downdiagonalstrike=!0),this.notation.updiagonalstrike&&(e.downdiagonalstrike=!0),this.notation.verticalstrike&&(e.downdiagonalstrike=!0),this.notation.horizontalstrike&&(e.downdiagonalstrike=!0),this.notation.updiagonalarrow&&(e.downdiagonalstrike=!0),this.notation.right&&(e.downdiagonalstrike=!0),this.notation.bottom&&(e.downdiagonalstrike=!0),this.notation.left&&(e.downdiagonalstrike=!0),this.notation.top&&(e.downdiagonalstrike=!0),this.notation.circle&&(e.downdiagonalstrike=!0),this.notation.roundedbox&&(e.downdiagonalstrike=!0),this.notation.madruwb&&(e.downdiagonalstrike=!0),this.notation.actuarial&&(e.downdiagonalstrike=!0),this.notation.box&&(e.downdiagonalstrike=!0),{...super.toJson(),notation:e,shadow:this.shadow,strokeWidth:this.strokeWidth,strokeStyle:this.strokeStyle,svgStrokeStyle:this.svgStrokeStyle,strokeColor:this.strokeColor,borderStyle:this.borderStyle,padding:this.padding}}serialize(e){var t;let a=null!==(t=this.command)&&void 0!==t?t:"";if("\\enclose"===this.command){a+="{"+Object.keys(this.notation).join(" ")+"}";let e="",t="";this.backgroundcolor&&"transparent"!==this.backgroundcolor&&(e+=t+'mathbackground="'+this.backgroundcolor+'"',t=","),this.shadow&&"auto"!==this.shadow&&(e+=t+'shadow="'+this.shadow+'"',t=","),this.strokeWidth||"solid"!==this.strokeStyle?(e+=t+this.borderStyle,t=","):this.strokeColor&&"currentColor"!==this.strokeColor&&(e+=t+'mathcolor="'+this.strokeColor+'"',t=","),e&&(a+=`[${e}]`)}return a+=`{${this.bodyToLatex(e)}}`,a}render(e){var t;const a=new Ae(e,this.style),i=dt.createBox(a,this.body);if(!i)return null;const o=null!==(t=Le(this.padding&&"auto"!==this.padding?It(this.padding,{...this.context,registers:e.registers}):a.getRegisterAsDimension("fboxsep")))&&void 0!==t?t:0,r=function(e){if(!e)return"1px";const t=e.match(/([0-9][a-zA-Z\%]+)/);return null===t?"1px":t[1]}(this.borderStyle),n=new Ne(null,{classes:"ML__notation"});n.setStyle("position","absolute"),n.setStyle("z-index","-1"),n.setStyle("box-sizing","border-box"),n.setStyle("top",`calc(-${r} / 2 - ${o}em)`),n.setStyle("left",`calc(-${r} / 2 - ${o}em)`),n.setStyle("height",`calc(100% + ${2*o}em + 2 * ${r})`),n.height=i.height+o,n.depth=i.depth+o,n.setStyle("width",`calc(100% + ${2*o}em + 2 * ${r})`),this.backgroundcolor&&n.setStyle("background-color",this.backgroundcolor),this.notation.box&&n.setStyle("border",this.borderStyle),this.notation.actuarial&&(n.setStyle("border-top",this.borderStyle),n.setStyle("border-right",this.borderStyle)),this.notation.madruwb&&(n.setStyle("border-bottom",this.borderStyle),n.setStyle("border-right",this.borderStyle)),this.notation.roundedbox&&(n.setStyle("border-radius","8px"),n.setStyle("border",this.borderStyle)),this.notation.circle&&(n.setStyle("border-radius","50%"),n.setStyle("border",this.borderStyle)),this.notation.top&&n.setStyle("border-top",this.borderStyle),this.notation.left&&n.setStyle("border-left",this.borderStyle),this.notation.right&&n.setStyle("border-right",this.borderStyle),this.notation.bottom&&n.setStyle("border-bottom",this.borderStyle);let s="";if(this.notation.horizontalstrike&&(s+='<line x1="3%"  y1="50%" x2="97%" y2="50%"',s+=` stroke-width="${this.strokeWidth}" stroke="${this.strokeColor}"`,s+=' stroke-linecap="round"',this.svgStrokeStyle&&(s+=` stroke-dasharray="${this.svgStrokeStyle}"`),s+="/>"),this.notation.verticalstrike&&(s+='<line x1="50%"  y1="3%" x2="50%" y2="97%"',s+=` stroke-width="${this.strokeWidth}" stroke="${this.strokeColor}"`,s+=' stroke-linecap="round"',this.svgStrokeStyle&&(s+=` stroke-dasharray="${this.svgStrokeStyle}"`),s+="/>"),this.notation.updiagonalstrike&&(s+='<line x1="3%"  y1="97%" x2="97%" y2="3%"',s+=` stroke-width="${this.strokeWidth}" stroke="${this.strokeColor}"`,s+=' stroke-linecap="round"',this.svgStrokeStyle&&(s+=` stroke-dasharray="${this.svgStrokeStyle}"`),s+="/>"),this.notation.downdiagonalstrike&&(s+='<line x1="3%"  y1="3%" x2="97%" y2="97%"',s+=` stroke-width="${this.strokeWidth}" stroke="${this.strokeColor}"`,s+=' stroke-linecap="round"',this.svgStrokeStyle&&(s+=` stroke-dasharray="${this.svgStrokeStyle}"`),s+="/>"),s){let e;"none"!==this.shadow&&(e="auto"===this.shadow?"filter: drop-shadow(0 0 .5px rgba(255, 255, 255, .7)) drop-shadow(1px 1px 2px #333)":"filter: drop-shadow("+this.shadow+")"),function(e,t,a){e.svgOverlay=t,e.svgStyle=a}(n,s,e)}const l=new Ne([n,i]);return l.setStyle("position","relative"),l.setStyle("display","inline"),l.height=i.height+o,l.depth=i.depth+o,l.left=o,l.right=o,this.caret&&(l.caret=this.caret),l.wrap(a)}}class ta extends dt{constructor(e,t,a,i,o){var r,n;super("genfrac",i,{style:o.style,command:e,serialize:o.serialize,displayContainsHighlight:!0}),this.above=t,this.below=a,this.hasBarLine=null===(r=null==o?void 0:o.hasBarLine)||void 0===r||r,this.continuousFraction=null!==(n=null==o?void 0:o.continuousFraction)&&void 0!==n&&n,this.numerPrefix=null==o?void 0:o.numerPrefix,this.denomPrefix=null==o?void 0:o.denomPrefix,this.mathstyleName=null==o?void 0:o.mathstyleName,this.leftDelim=null==o?void 0:o.leftDelim,this.rightDelim=null==o?void 0:o.rightDelim}static fromJson(e,t){return new ta(e.command,e.above,e.below,t,e)}toJson(){const e={};return this.continuousFraction&&(e.continuousFraction=!0),this.numerPrefix&&(e.numerPrefix=this.numerPrefix),this.denomPrefix&&(e.denomPrefix=this.denomPrefix),this.leftDelim&&(e.leftDelim=this.leftDelim),this.rightDelim&&(e.rightDelim=this.rightDelim),this.hasBarLine||(e.hasBarLine=!1),this.mathstyleName&&(e.mathstyleName=this.mathstyleName),{...super.toJson(),...e}}serialize(e){return this.command+`{${this.aboveToLatex(e)}}`+`{${this.belowToLatex(e)}}`}get children(){if(this._children)return this._children;const e=[];if("numerator-denominator"===this.context.fractionNavigationOrder){for(const t of this.above)e.push(...t.children),e.push(t);for(const t of this.below)e.push(...t.children),e.push(t)}else{for(const t of this.below)e.push(...t.children),e.push(t);for(const t of this.above)e.push(...t.children),e.push(t)}return this._children=e,e}render(e){var t,a;const i=new Ae(e,this.style,this.mathstyleName),o=i.metrics,r=new Ae(i,this.style,this.continuousFraction?"":"numerator"),n=this.numerPrefix?new Ne([new Ne(this.numerPrefix),dt.createBox(r,this.above)],{isTight:r.isTight,newList:!0}):null!==(t=dt.createBox(r,this.above,{newList:!0}))&&void 0!==t?t:new Ne(null,{newList:!0}),s=new Ae(i,this.style,this.continuousFraction?"":"denominator"),l=this.denomPrefix?new Ne([new Ne(this.denomPrefix),dt.createBox(s,this.below,{newList:!0})]):null!==(a=dt.createBox(s,this.below,{newList:!0}))&&void 0!==a?a:new Ne(null,{newList:!0}),d=this.hasBarLine?o.defaultRuleThickness:0;let c,u,p=0;i.isDisplayStyle?(c=o.num1,p=d>0?3*d:7*d,u=o.denom1):(d>0?(c=o.num2,p=d):(c=o.num3,p=3*d),u=o.denom2);const h=[];this.isSelected&&h.push("ML__selected");const m=n.depth,f=l.height;let y;if(d<=0){const e=c-m-(f-u);e<p&&(c+=(p-e)/2,u+=(p-e)/2),y=new We({individualShift:[{box:n,shift:-c,classes:[...h,"ML__center"]},{box:l,shift:u,classes:[...h,"ML__center"]}]}).wrap(i)}else{const e=ge+d/2,t=ge-d/2;c<p+m+e&&(c=p+m+e),u<p+f-t&&(u=p+f-t);const a=new Ne(null,{classes:"ML__frac-line",mode:this.mode,style:this.style});a.height=d/2,a.depth=d/2,y=new We({individualShift:[{box:l,shift:u,classes:[...h,"ML__center"]},{box:a,shift:d/2-t,classes:h},{box:n,shift:-c,classes:[...h,"ML__center"]}]}).wrap(i)}const b=i.isDisplayStyle?o.delim1:o.delim2,g=this.isSelected?" ML__selected":"",v=this.leftDelim?this.bind(e,Mt("mopen",this.leftDelim,b,!0,e,{style:this.style,mode:this.mode,classes:g})):Ct(i,"mopen");let k=null;k=this.continuousFraction?new Ne(null,{type:"mclose"}):this.rightDelim?this.bind(e,Mt("mclose",this.rightDelim,b,!0,e,{style:this.style,mode:this.mode,classes:g})):Ct(i,"mclose");const x=this.bind(e,new Ne([v,y,k],{isTight:i.isTight,type:"mord",classes:"mfrac"}));return x?(this.caret&&(x.caret=this.caret),this.attachSupsub(e,{base:x})):null}}class aa extends dt{constructor(e,t,a){var i;super("latex",t,{value:e,mode:"latex"}),this.isSuggestion=null!==(i=null==a?void 0:a.isSuggestion)&&void 0!==i&&i,this.isError=!1,this.verbatimLatex=e}static fromJson(e,t){const a=new aa(e.command,t);return e.isSuggestion&&(a.isSuggestion=!0),e.isError&&(a.isError=!0),a}toJson(){const e={};return this.isSuggestion&&(e.isSuggestion=!0),this.isError&&(e.isError=!0),{...super.toJson(),...e}}get computedStyle(){return{}}render(e){const t=new Ne(this.value,{classes:this.isSuggestion?"ML__suggestion":this.isError?"ML__error":"",type:"latex",maxFontSize:1});return t?(this.caret&&(t.caret=this.caret),this.bind(e,t)):null}}class ia extends dt{constructor(e,t){super("latexgroup",t,{mode:"latex"}),this.body=[...e].map((e=>new aa(e,t))),this.skipBoundary=!1}static fromJson(e,t){return new ia("",t)}toJson(){return super.toJson()}render(e){const t=dt.createBox(e,this.body,{newList:!0});return t?(this.caret&&(t.caret=this.caret),this.bind(e,t)):null}serialize(e){var t,a;return null!==(a=null===(t=this.body)||void 0===t?void 0:t.map((e=>e.value)).join(""))&&void 0!==a?a:""}}class oa extends dt{constructor(e,t,a,i){super("line",a,{command:e,style:i.style}),this.skipBoundary=!0,this.body=t,this.position=i.position}static fromJson(e,t){return new oa(e.command,e.body,t,e)}toJson(){return{...super.toJson(),position:this.position}}render(e){const t=new Ae(e,this.style,"cramp"),a=dt.createBox(t,this.body);if(!a)return null;const i=t.metrics.defaultRuleThickness/t.scalingFactor,o=new Ne(null,{classes:this.position+"-line"});let r;return o.height=i,o.maxFontSize=1.125*i*t.scalingFactor,r="overline"===this.position?new We({shift:0,children:[{box:a},3*i,{box:o},i]}):new We({top:a.height,children:[i,{box:o},3*i,{box:a}]}),this.caret&&(r.caret=this.caret),new Ne(r,{classes:this.position,type:"mord"})}}class ra extends dt{constructor(e,t,a,i){var o,r,n,s;super(null!==(o=i.type)&&void 0!==o?o:"mop",a,{command:e,style:i.style,isFunction:null==i?void 0:i.isFunction}),"string"==typeof t?this.value=t:this.body=t,this.captureSelection=null!==(r=i.captureSelection)&&void 0!==r&&r,this.hasArgument=null!==(n=i.hasArgument)&&void 0!==n&&n,this.variant=null==i?void 0:i.variant,this.variantStyle=null==i?void 0:i.variantStyle,this.subsupPlacement=null==i?void 0:i.limits,this.isExtensibleSymbol=null!==(s=null==i?void 0:i.isExtensibleSymbol)&&void 0!==s&&s}static fromJson(e,t){return new ra(e.command,e.body?e.body:e.value,t,e)}toJson(){const e=super.toJson();return this.hasArgument&&(e.hasArgument=!0),this.variant&&(e.variant=this.variant),this.variantStyle&&(e.variantStyle=this.variantStyle),this.subsupPlacement&&(e.limits=this.subsupPlacement),this.isExtensibleSymbol&&(e.isExtensibleSymbol=!0),this.value&&(e.symbol=this.value),e}render(e){var t;let a,i=0,o=0;if(this.isExtensibleSymbol){const t=e.isDisplayStyle&&"\\smallint"!==this.value;if(a=new Ne(this.value,{fontFamily:t?"Size2-Regular":"Size1-Regular",classes:"op-symbol "+(t?"large-op":"small-op"),type:"mop",maxFontSize:e.scalingFactor}),!a)return null;a.right=a.italic,i=(a.height-a.depth)/2-ge*e.scalingFactor,o=a.italic,a.setStyle("color",this.style.color),a.setStyle("background-color",this.style.backgroundColor)}else if(this.body){if(a=dt.createBox(e,this.body,{newList:!0}),!a)return null;a.setStyle("color",this.style.color),a.setStyle("background-color",this.style.backgroundColor)}else a=new Ne(this.value,{type:"mop",mode:"math",maxFontSize:e.scalingFactor,style:{color:this.style.color,backgroundColor:this.style.backgroundColor,letterShapeStyle:e.letterShapeStyle,variant:this.variant,variantStyle:this.variantStyle}});this.isExtensibleSymbol&&a.setTop(i);let r=a;if(this.superscript||this.subscript){const n=null!==(t=this.subsupPlacement)&&void 0!==t?t:"auto";r="over-under"===n||"auto"===n&&e.isDisplayStyle?this.attachLimits(e,{base:a,baseShift:i,slant:o}):this.attachSupsub(e,{base:a})}return this.caret&&(r.caret=this.caret),new Ne(this.bind(e,r),{type:"mop",classes:"op-group"+(this.isSelected?" ML__selected":"")})}serialize(e){if("\u200b"===this.value)return this.supsubToLatex(e);const t=[];return t.push(this.command),this.hasArgument&&t.push(`{${this.bodyToLatex(e)}}`),this.explicitSubsupPlacement&&("over-under"===this.subsupPlacement&&t.push("\\limits"),"adjacent"===this.subsupPlacement&&t.push("\\nolimits"),"auto"===this.subsupPlacement&&t.push("\\displaylimits")),t.push(this.supsubToLatex(e)),it(t)}}class na extends dt{constructor(e,t,a,i){var o,r;super("overlap",a,{command:e,style:null==i?void 0:i.style}),this.skipBoundary=!0,this.body="string"==typeof t?[new dt("mord",a,{value:t})]:t,this.align=null!==(o=null==i?void 0:i.align)&&void 0!==o?o:"left",this.boxType=null!==(r=null==i?void 0:i.boxType)&&void 0!==r?r:"mord"}static fromJson(e,t){return new na(e.command,e.body,t,e)}toJson(){const e={};return this.align&&(e.align=this.align),this.boxType&&(e.boxType=this.boxType),{...super.toJson(),...e}}render(e){const t=dt.createBox(e,this.body,{classes:"inner"});return t?(this.caret&&(t.caret=this.caret),this.bind(e,new Ne([t,new Ne(null,{classes:"fix"})],{classes:"left"===this.align?"llap":"rlap",type:this.boxType}))):null}}class sa extends dt{constructor(e,t,a,i){var o,r,n,s;super("phantom",a,{command:e,style:i.style}),this.captureSelection=!0,this.body=t,this.isInvisible=null!==(o=i.isInvisible)&&void 0!==o&&o,this.smashDepth=null!==(r=i.smashDepth)&&void 0!==r&&r,this.smashHeight=null!==(n=i.smashHeight)&&void 0!==n&&n,this.smashWidth=null!==(s=i.smashWidth)&&void 0!==s&&s}static fromJson(e,t){return new sa(e.command,e.body,t,e)}toJson(){const e={};return this.isInvisible&&(e.isInvisible=!0),this.smashDepth&&(e.smashDepth=!0),this.smashHeight&&(e.smashHeight=!0),this.smashWidth&&(e.smashWidth=!0),{...super.toJson(),...e}}render(e){const t=new Ae(e,{isPhantom:!0});if(!this.smashDepth&&!this.smashHeight&&!this.smashWidth)return dt.createBox(t,this.body,{classes:"inner"});const a=dt.createBox(this.isInvisible?t:e,this.body);if(!a)return null;if(this.smashWidth){const t=new Ne(null,{classes:"fix"});return new Ne([a,t],{classes:"rlap"}).wrap(e)}if(!this.smashHeight&&!this.smashDepth)return a;if(this.smashHeight&&(a.height=0),this.smashDepth&&(a.depth=0),a.children)for(const e of a.children)this.smashHeight&&(e.height=0),this.smashDepth&&(e.depth=0);return new We({firstBaseline:[{box:a}]},{type:"mord"}).wrap(e)}}class la extends dt{constructor(e,t,a){var i;super("rule",t,{command:e,style:a.style}),this.shift=null!==(i=a.shift)&&void 0!==i?i:{dimension:0},this.height=a.height,this.width=a.width}static fromJson(e,t){return new la(e.command,t,e)}toJson(){const e={height:this.height,width:this.width};return this.shift&&(e.shift=this.shift),{...super.toJson(),...e}}render(e){const t=new Ae(e,this.style,"textstyle"),a=Le(this.shift),i=Le(this.width),o=Le(this.height),r=new Ne(null,{classes:"rule",type:"mord"});return r.setStyle("border-right-width",i,"em"),r.setStyle("border-top-width",o,"em"),r.setStyle("border-color",this.style.color),r.setStyle("vertical-align",a,"em"),this.isSelected&&r.setStyle("opacity","50%"),r.width=i,r.height=o+a,r.depth=-a,this.bind(e,r),this.caret&&(r.caret=this.caret),r.wrap(t)}serialize(e){var t;let a=null!==(t=this.command)&&void 0!==t?t:"";return this.shift&&(a+=`[${Ce(this.shift)}]`),a+=`{${Ce(this.width)}}{${Ce(this.height)}}`,a}}class da extends dt{constructor(e,t,a){var i;super("surd",t,{command:e,mode:null!==(i=a.mode)&&void 0!==i?i:"math",style:a.style,displayContainsHighlight:!0}),this.body=a.body,this.above=a.index}static fromJson(e,t){return new da(e.command,t,{...e,index:e.above})}toJson(){return super.toJson()}serialize(e){let t="";return this.above&&(t+=`[${this.aboveToLatex(e)}]`),t+=`{${this.bodyToLatex(e)}}`,this.command+t}render(e){var t;const a=new Ae(e,this.style,"cramp"),i=null!==(t=dt.createBox(a,this.body,{style:this.style,newList:!0}))&&void 0!==t?t:new Ne(null),o=a.scalingFactor,r=a.metrics.defaultRuleThickness/o,n=e.isDisplayStyle?ve:r,s=new Ne(null,{classes:"ML__sqrt-line",style:this.style,height:r});let l=o*(r+n/4);const d=Math.max(2*o*n,i.height+i.depth)+l+r,c=new Ae(e,this.style),u=this.isSelected?" ML__selected":"",p=this.bind(c,new Ne(Mt("","\\surd",d,!1,c,{classes:u}),{classes:"ML__sqrt-sign"+u,style:this.style}));if(!p)return null;const h=p.height+p.depth-r;h>i.height+i.depth+l&&(l=(l+h-(i.height+i.depth))/2),p.setTop(p.height-i.height-l);const m=this.bind(e,new We({firstBaseline:[{box:new Ne(i)},l-2*r,{box:s},r]}).wrap(e)),f=dt.createBox(new Ae(e,this.style,"scriptscriptstyle"),this.above,{style:this.style,newList:!0});if(!f){const t=new Ne([p,m],{classes:this.containsCaret?"ML__contains-caret":"",type:"mord"});return this.caret&&(t.caret=this.caret),this.bind(e,t.wrap(e))}const y=new We({shift:-.6*(Math.max(p.height,m.height)-Math.max(p.depth,m.depth)),children:[{box:f}]}),b=new Ne([new Ne(y,{classes:"ML__sqrt-index"}),p,m],{type:"mord",classes:this.containsCaret?"ML__contains-caret":""});return b.height=p.height,b.depth=p.depth,this.caret&&(b.caret=this.caret),this.bind(e,b.wrap(e))}}const ca={"p@":"1pt ","z@":"0pt",maxdimen:"16383.99999pt",hfuzz:"0.1pt",vfuzz:"0.1pt",overfullrule:"5pt",hsize:"6.5in",vsize:"8.9in",parindent:"20pt",maxdepth:"4pt",splitmaxdepth:"\\maxdimen",boxmaxdepth:"\\maxdimen",delimitershortfall:"5pt",nulldelimiterspace:"1.2pt",scriptspace:"0.5pt",topskip:"10pt",splittopskip:"10pt",normalbaselineskip:"12pt",normallineskip:"1pt",normallineskiplimit:"0pt",jot:"3pt",doublerulesep:"2pt",arrayrulewidth:"0.4pt",arraycolsep:"5pt",fboxsep:"3pt",fboxrule:"0.4pt"},ua={"z@skip":"0pt plust0pt minus0pt",hideskip:"-1000pt plust 1fill","@flushglue":"0pt plust 1fill",parskip:"0pt plus 1pt",abovedisplayskip:"12pt plus 3pt minus 9pt",abovedisplayshortskip:"0pt plus 3pt",belowdisplayskip:"12pt plus 3pt minus 9pt",belowdisplayshortskip:"7pt plus 3pt minus 4pt",parfillskip:"0pt plus 1fil",thinmuskip:"3mu",medmuskip:"4mu plus 2mu minus 4mu",thickmuskip:"5mu plus 5mu",smallskipamount:"3pt plus1pt minus1pt",medskipamount:"6pt plus2pt minus2pt",bigskipamount:"12pt plus4pt minus4pt"},pa={pretolerance:100,tolerance:200,hbadness:1e3,vbadness:1e3,linepenalty:10,hyphenpenalty:50,exhyphenpenalty:50,binoppenalty:700,relpenalty:500,clubpenalty:150,widowpenalty:150,displaywidowpenalty:50,brokenpenalty:100,predisplaypenalty:1e4,doublehyphendemerits:1e4,finalhyphendemerits:5e3,adjdemerits:1e4,tracinglostchars:1,uchyph:1,delimiterfactor:901,defaulthyphenchar:"\\-",defaultskewchar:-1,newlinechar:-1,showboxbreadth:5,showboxdepth:3,errorcontextlines:5,interdisplaylinepenalty:100,interfootnotelinepenalty:100,baselineSkip:1.2,arraystretch:"",month:(new Date).getMonth()+1,day:(new Date).getDate(),year:(new Date).getFullYear()};let ha;function ma(e){var t,a;if(ha)return ha;ha={...pa};for(const a of Object.keys(ca))ha[a]=null!==(t=It(ca[a],e,ha))&&void 0!==t?t:0;for(const t of Object.keys(ua))ha[t]=null!==(a=Rt(ua[t],e,ha))&&void 0!==a?a:0;return ha}function fa(){const e={registers:{},smartFence:!1,fractionNavigationOrder:"numerator-denominator",placeholderSymbol:"\u25a2",letterShapeStyle:l.locale.startsWith("fr")?"french":"tex",colorMap:y,backgroundColorMap:b,getDefinition:ya,getMacro:e=>ba(e,V())};return{...e,registers:ma(e)}}function ya(e,t="math"){if(!e||0===e.length)return null;let a=null;if(e.startsWith("\\")){if(a=_[e],a)return a;"math"===t?a=x[e]:L[e]&&(a={definitionType:"symbol",type:"mord",codepoint:L[e]})}else if("math"===t){if(a=x[e],!a&&1===e.length){const t=K("math",e.codePointAt(0));return t.startsWith("\\")?{...ya(t,"math"),command:t}:null}}else L[e]?a={definitionType:"symbol",type:"mord",codepoint:L[e]}:"text"===t&&(a={definitionType:"symbol",type:"mord",codepoint:e.codePointAt(0)});return!a||"symbol"!==a.definitionType||"mord"!==a.type||102!==a.codepoint&&103!==a.codepoint&&104!==a.codepoint||(a.isFunction=!0),null!=a?a:null}function ba(e,t){return e.startsWith("\\")?t[e.slice(1)]:null}class ga extends dt{constructor(e,t,a,i){super("tooltip",a,{command:null==i?void 0:i.command,mode:"math",serialize:null==i?void 0:i.serialize,style:null==i?void 0:i.style,displayContainsHighlight:!0}),this.body=e;const o=fa();this.tooltip=new dt("root",o,{style:{}}),this.tooltip.body=t,this.skipBoundary=!0,this.captureSelection=!1}static fromJson(e,t){return new ga(e.body,va(e.tooltip,t),t,e)}toJson(){var e;const t=null===(e=this.tooltip.body)||void 0===e?void 0:e.filter((e=>"first"!==e.type)).map((e=>e.toJson()));return{...super.toJson(),tooltip:t}}render(e){const t=dt.createBox(e,this.body,{style:this.style});if(!t)return null;const a=Pe(Ve(new Ne(this.tooltip.render(new Ae({registers:e.registers},{fontSize:5},"displaystyle")),{classes:"ML__tooltip-content"}))),i=new Ne([a,t],{classes:"ML__tooltip-container"});return this.caret&&(i.caret=this.caret),this.bind(e,i)}serialize(e){return`${this.command}{${this.bodyToLatex(e)}}{${dt.serialize(this.tooltip.body,e)}}`}}function va(e,a){if(t(e))return e.map((e=>va(e,a)));e={...e};for(const t of nt)e[t]&&(e[t]=va(e[t],a));e.array&&(e.array=va(e.array,a));const i=e.type;let o;"accent"===i&&(o=pt.fromJson(e,a)),"array"===i&&(o=Ht.fromJson(e,a)),"box"===i&&(o=Vt.fromJson(e,a)),"composition"===i&&(o=Ut.fromJson(e,a)),"chem"===i&&(o=Xt.fromJson(e,a)),"choice"===i&&(o=ka.fromJson(e,a)),"delim"===i&&(o=Yt.fromJson(e,a)),"enclose"===i&&(o=ea.fromJson(e,a)),"error"===i&&(o=Et.fromJson(e,a)),"genfrac"===i&&(o=ta.fromJson(e,a)),"group"===i&&(o=Tt.fromJson(e,a)),"latex"===i&&(o=aa.fromJson(e,a)),"latexgroup"===i&&(o=ia.fromJson(e,a)),"leftright"===i&&(o=zt.fromJson(e,a)),"line"===i&&(o=oa.fromJson(e,a)),"macro"===i&&(o=qt.fromJson(e,a)),"msubsup"===i&&(o=Bt.fromJson(e,a)),"overlap"===i&&(o=na.fromJson(e,a)),"overunder"===i&&(o=At.fromJson(e,a)),"placeholder"===i&&(e.defaultValue&&(e.defaultValue=va(e.defaultValue,a)),o=Kt.fromJson(e,a)),"phantom"===i&&(o=sa.fromJson(e,a)),"rule"===i&&(o=la.fromJson(e,a)),"sizeddelim"===i&&(o=Qt.fromJson(e,a)),"spacing"===i&&(o=Dt.fromJson(e,a)),"surd"===i&&(o=da.fromJson(e,a)),"text"===i&&(o=$t.fromJson(e,a)),"tooltip"===i&&(o=ga.fromJson(e,a)),"mop"===i&&(o=ra.fromJson(e,a)),o||(o=dt.fromJson(e,a));for(const t of nt)e[t]&&o.setChildren(e[t],t);return void 0!==e.verbatimLatex&&(o.verbatimLatex=e.verbatimLatex),e.subsupPlacement&&(o.subsupPlacement=e.subsupPlacement),e.explicitSubsupPlacement&&(o.explicitSubsupPlacement=!0),e.isFunction&&(o.isFunction=!0),e.isExtensibleSymbol&&(o.isExtensibleSymbol=!0),e.skipBoundary&&(o.skipBoundary=!0),e.captureSelection&&(o.captureSelection=!0),o}class ka extends dt{constructor(e,t){super("choice",t),this.choices=e,this.skipBoundary=!0}static fromJson(e,t){return new ka([va(e.choices[0],t),va(e.choices[1],t),va(e.choices[2],t),va(e.choices[3],t)],t)}toJson(){const e=[];for(const t of this.choices)e.push(t.filter((e=>"first"!==e.type)).map((e=>e.toJson())));return{...super.toJson(),choices:e}}render(e){const t=dt.createBox(e,this.choices[Math.floor(e.mathstyle.id/2)]);return t?(this.caret&&(t.caret=this.caret),this.bind(e,t)):null}serialize(e){return`\\mathchoice{${dt.serialize(this.choices[0],e)}}{${dt.serialize(this.choices[1],e)}}{${dt.serialize(this.choices[2],e)}}{${dt.serialize(this.choices[3],e)}}`}}R("mathtip","{:math}{:math}",{createAtom:(e,t,a,i)=>new ga(t[0],t[1],i,{command:e,content:"math",style:a})}),R("texttip","{:math}{:text}",{createAtom:(e,t,a,i)=>new ga(t[0],t[1],i,{command:e,content:"text",style:a})}),R("error","{:math}",{createAtom:(e,t,a,i)=>new Tt(t[0],i,{mode:"math",command:"\\error",customClass:"ML__error",style:a,serialize:(e,t)=>`\\error{${e.bodyToLatex(t)}}`})}),R("ensuremath","{:math}",{createAtom:(e,t,a,i)=>new Tt(t[0],i,{mode:"math",latexOpen:"\\ensuremath{",latexClose:"}",style:a})}),R("color","{:string}",{applyStyle:(e,t,a)=>{var i,o;const r=t[0];return{verbatimColor:t[0],color:null!==(o=null===(i=a.colorMap)||void 0===i?void 0:i.call(a,r))&&void 0!==o?o:r}}}),R("textcolor","{:string}{content:auto*}",{applyStyle:(e,t,a)=>{var i,o;const r=t[0];return{verbatimColor:r,color:null!==(o=null===(i=a.colorMap)||void 0===i?void 0:i.call(a,r))&&void 0!==o?o:r}}}),R("boxed","{content:math}",{createAtom:(e,t,a,i)=>new Vt(e,t[0],i,{framecolor:"black",style:a})}),R("colorbox","{:string}{content:auto*}",{applyMode:"text",applyStyle:(e,t,a)=>{var i,o;const r=t[0];return{verbatimBackgroundColor:t[0],backgroundColor:null!==(o=null===(i=a.backgroundColorMap)||void 0===i?void 0:i.call(a,r))&&void 0!==o?o:r}}}),R("fcolorbox","{frame-color:string}{background-color:string}{content:auto}",{applyMode:"text",createAtom:(e,t,a,i)=>{var o,r,n,s;const l=t[0],d=t[1];return new Vt(e,t[2],i,{verbatimFramecolor:l,framecolor:null!==(r=null===(o=i.colorMap)||void 0===o?void 0:o.call(i,l))&&void 0!==r?r:l,verbatimBackgroundcolor:t[1],backgroundcolor:null!==(s=null===(n=i.backgroundColorMap)||void 0===n?void 0:n.call(i,d))&&void 0!==s?s:d,style:a,serialize:(e,t)=>{var a,i;return`${e.command}{${null!==(a=e.verbatimFramecolor)&&void 0!==a?a:e.framecolor}{${null!==(i=e.verbatimBackgroundcolor)&&void 0!==i?i:e.backgroundcolor}}{${e.bodyToLatex(t)}}`}})}}),R("bbox","[:bbox]{body:auto}",{createAtom:(e,t,a,i)=>{if(t[0]){const o=t[0];return new Vt(e,t[1],i,{padding:o.padding,border:o.border,backgroundcolor:o.backgroundcolor,style:a,serialize:(t,a)=>{var i;let o=e;if(Number.isFinite(t.padding)||void 0!==t.border||void 0!==t.backgroundcolor){const e=[];t.padding&&e.push(t.padding),t.border&&e.push(`border: ${t.border}`),(t.verbatimBackgroundcolor||t.backgroundcolor)&&e.push(null!==(i=t.verbatimBackgroundcolor)&&void 0!==i?i:t.backgroundcolor),o+=`[${e.join(",")}]`}return o+`{${t.bodyToLatex(a)}}`}})}return new Vt(e,t[1],i,{style:a})}}),R(["displaystyle","textstyle","scriptstyle","scriptscriptstyle"],"{:rest}",{createAtom:(e,t,a,i)=>new Tt(t[0],i,{latexOpen:`{${e} `,latexClose:"}",style:a,mathstyleName:e.slice(1)})}),R(["tiny","scriptsize","footnotesize","small","normalsize","large","Large","LARGE","huge","Huge"],"",{applyStyle:(e,t)=>({fontSize:{"\\tiny":1,"\\scriptsize":2,"\\footnotesize":3,"\\small":4,"\\normalsize":5,"\\large":6,"\\Large":7,"\\LARGE":8,"\\huge":9,"\\Huge":10}[e]})}),R("fontseries","{:string}",{ifMode:"text",applyStyle:(e,t)=>({fontSeries:t[0]})}),R("fontshape","{:string}",{ifMode:"text",applyStyle:(e,t)=>({fontShape:t[0]})}),R("fontfamily","{:string}",{ifMode:"text",applyStyle:(e,t)=>({fontFamily:t[0]})}),R("selectfont","",{ifMode:"text",applyStyle:(e,t)=>({})}),R("bf","",{applyStyle:(e,t)=>({fontSeries:"b",fontShape:"n",fontFamily:"cmr"})}),R(["boldsymbol","bm"],"{:math*}",{applyMode:"math",createAtom:(e,t,a,i)=>new Tt(t[0],i,{latexOpen:`${e}{`,latexClose:"}",style:a,customClass:"ML__boldsymbol"})}),R("bold","{:math*}",{applyMode:"math",applyStyle:(e,t)=>({variantStyle:"bold"})}),R("bfseries","",{applyMode:"text",applyStyle:(e,t)=>({fontSeries:"b"})}),R("mdseries","",{applyMode:"text",applyStyle:(e,t)=>({fontSeries:"m"})}),R("upshape","",{applyMode:"text",applyStyle:(e,t)=>({fontShape:"n"})}),R("slshape","",{applyMode:"text",applyStyle:(e,t)=>({fontShape:"sl"})}),R("scshape","",{applyMode:"text",applyStyle:(e,t)=>({fontShape:"sc"})}),R("textbf","{:text*}",{applyMode:"text",applyStyle:(e,t)=>({fontSeries:"b"})}),R("textmd","{:text*}",{applyMode:"text",applyStyle:(e,t)=>({fontSeries:"m"})}),R("textup","{:text*}",{applyMode:"text",applyStyle:(e,t)=>({fontShape:"n"})}),R("textnormal","{:text*}",{applyMode:"text",applyStyle:(e,t)=>({fontShape:"n",fontSeries:"m"})}),R("textsl","{:text*}",{applyMode:"text",applyStyle:(e,t)=>({fontShape:"sl"})}),R("textit","{:text*}",{applyMode:"text",applyStyle:(e,t)=>({fontShape:"it"})}),R("textsc","{:text*}",{applyMode:"text",applyStyle:(e,t)=>({fontShape:"sc"})}),R("textrm","{:text*}",{applyMode:"text",applyStyle:(e,t)=>({fontFamily:"roman"})}),R("textsf","{:text*}",{applyMode:"text",applyStyle:(e,t)=>({fontFamily:"sans-serif"})}),R("texttt","{:text*}",{applyMode:"text",applyStyle:(e,t)=>({fontFamily:"monospace"})}),R("mathbf","{:math*}",{applyMode:"math",applyStyle:(e,t)=>({variant:"normal",variantStyle:"bold"})}),R("mathit","{:math*}",{applyMode:"math",applyStyle:(e,t)=>({variant:"main",variantStyle:"italic"})}),R("mathnormal","{:math*}",{applyMode:"math",applyStyle:(e,t)=>({variant:"normal",variantStyle:"italic"})}),R("mathbfit","{:math*}",{applyMode:"math",applyStyle:(e,t)=>({variant:"main",variantStyle:"bolditalic"})}),R("mathrm","{:math*}",{applyMode:"math",applyStyle:(e,t)=>({variant:"normal",variantStyle:"up"})}),R("mathsf","{:math*}",{applyMode:"math",applyStyle:(e,t)=>({variant:"sans-serif",variantStyle:"up"})}),R("mathtt","{:math*}",{applyMode:"math",applyStyle:(e,t)=>({variant:"monospace",variantStyle:"up"})}),R("it","",{applyStyle:(e,t)=>({fontSeries:"m",fontShape:"it",fontFamily:"cmr",variantStyle:"italic"})}),R("rmfamily","",{applyStyle:(e,t)=>({fontFamily:"roman"})}),R("sffamily","",{applyStyle:(e,t)=>({fontFamily:"sans-serif"})}),R("ttfamily","",{applyStyle:(e,t)=>({fontFamily:"monospace"})}),R(["Bbb","mathbb"],"{:math*}",{applyStyle:(e,t)=>({variant:"double-struck",variantStyle:"up"})}),R(["frak","mathfrak"],"{:math*}",{applyStyle:(e,t)=>({variant:"fraktur",variantStyle:"up"})}),R("mathcal","{:math*}",{applyStyle:(e,t)=>({variant:"calligraphic",variantStyle:"up"})}),R("mathscr","{:math*}",{applyStyle:(e,t)=>({variant:"script",variantStyle:"up"})}),R("mbox","{:text}",{ifMode:"math",createAtom:(e,t,a,i)=>new Tt(t[0],i,{changeMode:!0,style:a,mode:"text",command:e,serialize:(e,t)=>`\\mbox{${e.bodyToLatex({...t,skipModeCommand:!0})}}`})}),R("text","{:text}",{ifMode:"math",applyMode:"text"}),R("class","{name:string}{content:auto*}",{createAtom:(e,t,a,i)=>new Tt(t[1],i,{customClass:t[0],style:a})}),R("cssId","{id:string}{content:auto}",{createAtom:(e,t,a,i)=>new Tt(t[1],i,{cssId:t[0],style:a})}),R("htmlData","{data:string}{content:auto}",{createAtom:(e,t,a,i)=>new Tt(t[1],i,{htmlData:t[0],style:a})}),R("htmlStyle","{data:string}{content:auto}",{createAtom:(e,t,a,i)=>new Tt(t[1],i,{htmlStyle:t[0],style:a})}),R("em","{:auto*}",{createAtom:(e,t,a,i)=>new Tt(t[0],i,{latexOpen:"\\em",latexClose:"",customClass:"ML__emph",style:a})}),R("emph","{:auto}",{createAtom:(e,t,a,i)=>new Tt(t[0],i,{latexOpen:"\\emph{",latexClose:"}",customClass:"ML__emph",style:a})});const xa={"\\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}};R(["bigl","Bigl","biggl","Biggl","bigr","Bigr","biggr","Biggr","bigm","Bigm","biggm","Biggm","big","Big","bigg","Bigg"],"{:delim}",{createAtom:(e,t,a,i)=>new Qt(e,t[0],i,{size:xa[e].size,delimClass:xa[e].mclass,style:a})}),R(["hspace","hspace*"],"{width:glue}",{createAtom:(e,t,a,i)=>{var o;return new Dt(e,a,i,null!==(o=t[0])&&void 0!==o?o:{glue:{dimension:0}})}}),R(["mkern","kern"],"{width:glue}",{createAtom:(e,t,a,i)=>{var o;return new Dt(e,a,i,null!==(o=t[0])&&void 0!==o?o:{glue:{dimension:0}})}}),R("mspace","{width:glue}",{createAtom:(e,t,a,i)=>{var o;return new Dt(e,a,i,null!==(o=t[0])&&void 0!==o?o:{glue:{dimension:0}})}}),R("mathop","{:auto}",{createAtom:(e,t,a,i)=>new ra(e,t[0],i,{type:"mop",captureSelection:!0,limits:"over-under",isFunction:!0,hasArgument:!0,style:a})}),R("mathchoice","{:math}{:math}{:math}{:math}",{createAtom:(e,t,a,i)=>new ka(t,i)}),R(["mathbin","mathrel","mathopen","mathclose","mathpunct","mathord","mathinner"],"{:auto}",{createAtom:(e,t,a,i)=>new ra(e,t[0],i,{type:{"\\mathbin":"mbin","\\mathrel":"mrel","\\mathopen":"mopen","\\mathclose":"mclose","\\mathpunct":"mpunct","\\mathord":"mord","\\mathinner":"minner"}[e],captureSelection:!0,hasArgument:!0,style:a})}),R(["operatorname","operatorname*"],"{operator:math}",{createAtom:(e,t,a,i)=>{const o=new ra(e,t[0],i,{isFunction:!0,hasArgument:!0,limits:"\\operatorname"===e?"adjacent":"over-under",style:a});return o.captureSelection=!0,o.body&&o.body.forEach((e=>{var t;"first"!==e.type&&(e.type="mord",e.value=null!==(t={"\u2217":"*","\u2212":"-"}[e.value])&&void 0!==t?t:e.value,e.isFunction=!1,e.style.variant||e.style.variantStyle||(e.style.variant="main",e.style.variantStyle="up"))})),o}});class wa extends dt{constructor(e,t,a){let i=Number.parseInt(e);Number.isFinite(i)||(i=10067),super("mord",a,{value:String.fromCodePoint(i),style:t}),this.codepoint=i}serialize(e){return'\\unicode"'+("000000"+this.codepoint.toString(16)).toUpperCase().slice(-6)}}function _a(e){if(1===e.length){const t=e[0];if("mbin"===t.type)return"mbin";if("mrel"===t.type)return"mrel"}return"mord"}R("unicode","{charcode:number}",{createAtom:(e,t,a,i)=>new wa(t[0],a,i)}),R("rule","[raise:dimen]{width:dimen}{thickness:dimen}",{createAtom:(e,t,a,i)=>new la(e,i,{shift:t[0],width:t[1],height:t[2],style:a})}),R("overline","{:auto}",{createAtom:(e,t,a,i)=>new oa(e,t[0],i,{position:"overline",style:a})}),R("underline","{:auto}",{createAtom:(e,t,a,i)=>new oa(e,t[0],i,{position:"underline",style:a})}),R("overset","{above:auto}{base:auto}",{createAtom:(e,t,a,i)=>new At(e,i,{above:t[0],body:t[1],skipBoundary:!1,style:a,boxType:_a(t[1]),serialize:(e,t)=>`${e.command}{${e.aboveToLatex(t)}}{${e.bodyToLatex(t)}}`})}),R("underset","{below:auto}{base:auto}",{createAtom:(e,t,a,i)=>new At(e,i,{below:t[0],body:t[1],skipBoundary:!1,style:a,boxType:_a(t[1]),serialize:(t,a)=>`${e}{${t.belowToLatex(a)}}{${t.bodyToLatex(a)}}`})}),R("overunderset","{above:auto}{below:auto}{base:auto}",{createAtom:(e,t,a,i)=>new At(e,i,{above:t[0],below:t[1],body:t[2],skipBoundary:!1,style:a,boxType:_a(t[2]),serialize:(e,t)=>`${e.command}{${e.aboveToLatex(t)}}{${e.bodyToLatex(t)}}`})}),R(["stackrel","stackbin"],"[below:auto]{above:auto}{base:auto}",{createAtom:(e,t,a,i)=>new At(e,i,{body:t[2],above:t[1],below:t[0],skipBoundary:!1,style:a,boxType:"\\stackrel"===e?"mrel":"mbin",serialize:(e,t)=>`${e.command}{${e.aboveToLatex(t)}}{${e.bodyToLatex(t)}}`})}),R("smash","[:string]{:auto}",{createAtom:(e,t,a,i)=>t[0]?new sa(e,t[1],i,{smashHeight:t[0].includes("t"),smashDepth:t[0].includes("b"),style:a}):new sa(e,t[1],i,{smashHeight:!0,smashDepth:!0,style:a})}),R(["vphantom"],"{:auto*}",{createAtom:(e,t,a,i)=>new sa(e,t[1],i,{isInvisible:!0,smashWidth:!0,style:a})}),R(["hphantom"],"{:auto*}",{createAtom:(e,t,a,i)=>new sa(e,t[1],i,{isInvisible:!0,smashHeight:!0,smashDepth:!0,style:a})}),R(["phantom"],"{:auto*}",{createAtom:(e,t,a,i)=>new sa(e,t[1],i,{isInvisible:!0,style:a})}),R("not","{:math}",{createAtom:(e,t,a,i)=>{if(t.length<1||null===t[0])return new dt("mrel",i,{command:e,style:a,value:"\ue020"});const o=t[0];return new Tt([new na(e,"\ue020",i,{align:"right",style:a,boxType:"mrel"}),...o],i,{boxType:"mrel",captureSelection:!0,command:"\\not",serialize:(e,t)=>{const a=dt.serialize(o,t);return 1!==a.length||/[a-zA-Z]/.test(a)?`\\not{${a}}`:"\\not"+a}})}}),R(["ne","neq"],"",{createAtom:(e,t,a,i)=>new Tt([new na(e,"\ue020",i,{align:"right",style:a,boxType:"mrel"}),new dt("mrel",i,{style:a,value:"="})],i,{boxType:"mrel",captureSelection:!0,serialize:()=>e,command:e})}),R("rlap","{:auto}",{createAtom:(e,t,a,i)=>new na(e,t[0],i,{align:"right",style:a})}),R("llap","{:auto}",{createAtom:(e,t,a,i)=>new na(e,t[0],i,{style:a})}),R("mathllap","{:auto}",{createAtom:(e,t,a,i)=>new na(e,t[0],i,{style:a})}),R("mathrlap","{:auto}",{createAtom:(e,t,a,i)=>new na(e,t[0],i,{align:"right",style:a})});const Sa={acute:714,grave:715,dot:729,ddot:168,mathring:730,tilde:126,bar:713,breve:728,check:711,hat:94,vec:8407};function Ma(e){for(const t of e)for(const e of t)if(e.length>0)return!1;return!0}R(Object.keys(Sa),"{body:auto}",{createAtom:(e,t,a,i)=>new pt(e,t[0],i,{accentChar:Sa[e.slice(1)],style:a})}),R(["widehat","widecheck","widetilde"],"{body:auto}",{createAtom:(e,t,a,i)=>{const o=N(t[0]);return new pt(e,t[0],i,{style:a,svgAccent:e.slice(1)+(o.length>5?"4":["1","1","2","2","3","3"][o.length])})}}),R(["overarc","overparen","wideparen"],"{body:auto}",{createAtom:(e,t,a,i)=>new pt(e,t[0],i,{style:a,svgAccent:"overarc"})}),R(["underarc","underparen"],"{body:auto}",{createAtom:(e,t,a,i)=>new At(e,i,{body:t[0],style:a,svgBelow:"underarc"})}),R("utilde","{body:auto}",{createAtom:(e,t,a,i)=>{const o=N(t[0]),r="widetilde"+(o.length>5?"4":["1","1","2","2","3","3"][o.length]);return new At(e,i,{body:t[0],svgBelow:r,style:a,boxType:_a(t[0])})}}),R("^","{:string}",{createAtom:(e,t,a,i)=>{var o;return new dt("mord",i,{command:e,isFunction:!1,limits:"adjacent",style:a,value:t[0]&&null!==(o={a:"\xe2",e:"\xea",i:"\xee",o:"\xf4",u:"\xfb",A:"\xc2",E:"\xca",I:"\xce",O:"\xd4",U:"\xdb"}[t[0]])&&void 0!==o?o:"^"})}}),R("`","{:string}",{createAtom:(e,t,a,i)=>{var o;return new dt("mord",i,{command:e,isFunction:!1,limits:"adjacent",style:a,value:t[0]&&null!==(o={a:"\xe0",e:"\xe8",i:"\xec",o:"\xf2",u:"\xf9",A:"\xc0",E:"\xc8",I:"\xcc",O:"\xd2",U:"\xd9"}[t[0]])&&void 0!==o?o:"`"})}}),R("'","{:string}",{createAtom:(e,t,a,i)=>{var o;return new dt("mord",i,{command:e,isFunction:!1,limits:"adjacent",style:a,value:t[0]&&null!==(o={a:"\xe1",e:"\xe9",i:"\xed",o:"\xf3",u:"\xfa",A:"\xc1",E:"\xc9",I:"\xcd",O:"\xd3",U:"\xda"}[t[0]])&&void 0!==o?o:"^"})}}),R("~","{:string}",{createAtom:(e,t,a,i)=>{var o;return new dt("mord",i,{command:e,isFunction:!1,limits:"adjacent",style:a,value:t[0]&&null!==(o={n:"\xf1",N:"\xd1",a:"\xe3",o:"\xf5",A:"\xc3",O:"\xd5"}[t[0]])&&void 0!==o?o:"\xb4"})}}),R("c","{:string}",{createAtom:(e,t,a,i)=>{var o;return new dt("mord",i,{command:e,isFunction:!1,limits:"adjacent",style:a,value:t[0]&&null!==(o={c:"\xe7",C:"\xc7"}[t[0]])&&void 0!==o?o:""})}}),R("enclose","{notation:string}[style:string]{body:auto}",{createAtom:(e,t,a,i)=>{var o;const r={strokeColor:"currentColor",strokeWidth:"",strokeStyle:"solid",backgroundcolor:"transparent",padding:"auto",shadow:"auto",svgStrokeStyle:void 0,borderStyle:void 0,style:a};if(t[1]){const e=t[1].split(/,(?![^(]*\)(?:(?:[^(]*\)){2})*[^"]*$)/);for(const t of e){const e=t.match(/\s*(\S+)\s+(\S+)\s+(.*)/);if(e)r.strokeWidth=e[1],r.strokeStyle=e[2],r.strokeColor=e[3];else{const e=t.match(/\s*([a-z]*)\s*=\s*"(.*)"/);e&&("mathbackground"===e[1]?r.backgroundcolor=e[2]:"mathcolor"===e[1]?r.strokeColor=e[2]:"padding"===e[1]?r.padding=e[2]:"shadow"===e[1]&&(r.shadow=e[2]))}}"dashed"===r.strokeStyle?r.svgStrokeStyle="5,5":"dotted"===r.strokeStyle&&(r.svgStrokeStyle="1,5")}r.borderStyle=`${r.strokeWidth} ${r.strokeStyle} ${r.strokeColor}`;const n={};return(null!==(o=t[0])&&void 0!==o?o:"").split(/[, ]/).filter((e=>e.length>0)).forEach((e=>{n[e.toLowerCase()]=!0})),new ea(e,t[2],n,i,r)}}),R("cancel","{body:auto}",{createAtom:(e,t,a,i)=>new ea(e,t[0],{updiagonalstrike:!0},i,{strokeColor:"currentColor",strokeWidth:"",strokeStyle:"solid",borderStyle:"1px solid currentColor",backgroundcolor:"transparent",padding:"auto",shadow:"auto",style:a})}),R("bcancel","{body:auto}",{createAtom:(e,t,a,i)=>new ea(e,t[0],{downdiagonalstrike:!0},i,{strokeColor:"currentColor",strokeWidth:"",strokeStyle:"solid",borderStyle:"1px solid currentColor",backgroundcolor:"transparent",padding:"auto",shadow:"auto",style:a})}),R("xcancel","{body:auto}",{createAtom:(e,t,a,i)=>new ea(e,t[0],{updiagonalstrike:!0,downdiagonalstrike:!0},i,{strokeColor:"currentColor",strokeWidth:"",strokeStyle:"solid",borderStyle:"1px solid currentColor",backgroundcolor:"transparent",padding:"auto",shadow:"auto",style:a})}),F("math","",((e,t,a,i)=>(Ma(a)&&(a=[[[new dt("first",e),new Kt(e)]]]),new Ht(e,t,a,i,{mathstyleName:"textstyle"})))),F("displaymath","",((e,t,a,i)=>(Ma(a)&&(a=[[[new dt("first",e),new Kt(e)]]]),new Ht(e,t,a,i,{mathstyleName:"textstyle"})))),P("array","{columns:colspec}",((e,t,a,i,o)=>(Ma(a)&&(a=[[[new dt("first",e),new Kt(e)]]]),new Ht(e,t,a,i,{columns:o[0],mathstyleName:"textstyle"})))),P(["equation","equation*","subequations"],"",((e,t,a,i)=>(Ma(a)&&(a=[[[new dt("first",e),new Kt(e)]]]),new Ht(e,t,a,i,{columns:[{align:"c"}]})))),P("multline","",((e,t,a,i)=>(Ma(a)&&(a=[[[new dt("first",e),new Kt(e)]]]),new Ht(e,t,a,i,{columns:[{align:"m"}]})))),P(["align","align*","aligned","eqnarray"],"",((e,t,a,i)=>{let o=0;Ma(a)&&(a=[[[new dt("first",e),new Kt(e)],[new dt("first",e),new Kt(e)]]]);for(const e of a)o=Math.max(o,e.length);const r=[{gap:0},{align:"r"},{gap:.25},{align:"l"}];let n=2;for(;n<o;)r.push({gap:1}),r.push({align:"r"}),r.push({gap:.25}),r.push({align:"l"}),n+=2;return r.push({gap:0}),new Ht(e,t,a,i,{arraycolsep:0,columns:r,colSeparationType:"align",jot:.3,minColumns:2})})),P("split","",((e,t,a,i)=>(Ma(a)&&(a=[[[new dt("first",e),new Kt(e)],[new dt("first",e),new Kt(e)]]]),new Ht(e,t,a,i,{columns:[{align:"r"},{align:"l"}],minColumns:2})))),P(["gather","gathered"],"",((e,t,a,i)=>(Ma(a)&&(a=[[[new dt("first",e),new Kt(e)]]]),new Ht(e,t,a,i,{columns:[{gap:.25},{align:"c"},{gap:0}],colSeparationType:"gather"})))),P(["matrix","pmatrix","bmatrix","Bmatrix","vmatrix","Vmatrix","matrix*","pmatrix*","bmatrix*","Bmatrix*","vmatrix*","Vmatrix*"],"[columns:colspec]",((e,t,a,i,o)=>{var r;Ma(a)&&(a=[[[new dt("first",e),new Kt(e)]]]);let n=".",s=".";switch(t){case"pmatrix":case"pmatrix*":n="(",s=")";break;case"bmatrix":case"bmatrix*":n="[",s="]";break;case"Bmatrix":case"Bmatrix*":n="\\lbrace",s="\\rbrace";break;case"vmatrix":case"vmatrix*":n="\\vert",s="\\vert";break;case"Vmatrix":case"Vmatrix*":n="\\Vert",s="\\Vert";break;case"matrix":case"matrix*":n=".",s="."}return new Ht(e,t,a,i,{mathstyleName:"textstyle",leftDelim:n,rightDelim:s,columns:null!==(r=o[0])&&void 0!==r?r:[{align:"c"},{align:"c"},{align:"c"},{align:"c"},{align:"c"},{align:"c"},{align:"c"},{align:"c"},{align:"c"},{align:"c"}]})})),P(["smallmatrix","smallmatrix*"],"[columns:colspec]",((e,t,a,i,o)=>{var r;return Ma(a)&&(a=[[[new dt("first",e),new Kt(e)]]]),new Ht(e,t,a,i,{mathstyleName:"scriptstyle",columns:null!==(r=o[0])&&void 0!==r?r:[{align:"c"},{align:"c"},{align:"c"},{align:"c"},{align:"c"},{align:"c"},{align:"c"},{align:"c"},{align:"c"},{align:"c"}],colSeparationType:"small",arraystretch:.5})})),P(["cases","dcases"],"",((e,t,a,i)=>(Ma(a)&&(a=[[[new dt("first",e),new Kt(e)]]]),new Ht(e,t,a,i,{mathstyleName:"dcases"===t?"displaystyle":"textstyle",arraystretch:1.2,leftDelim:"\\lbrace",rightDelim:".",columns:[{align:"l"},{gap:1},{align:"l"}]})))),P("rcases","",((e,t,a,i)=>(Ma(a)&&(a=[[[new dt("first",e),new Kt(e)]]]),new Ht(e,t,a,i,{arraystretch:1.2,leftDelim:".",rightDelim:"\\rbrace",columns:[{align:"l"},{gap:1},{align:"l"}]})))),F("center","",((e,t,a,i)=>(Ma(a)&&(a=[[[new dt("first",e),new Kt(e)]]]),new Ht(e,t,a,i,{columns:[{align:"c"}]})))),R(["overrightarrow","overleftarrow","Overrightarrow","overleftharpoon","overrightharpoon","overleftrightarrow","overlinesegment","overgroup"],"{:auto}",{createAtom:(e,t,a,i)=>new At(e,i,{body:t[0],skipBoundary:!1,supsubPlacement:"over-under",paddedBody:!0,boxType:"mrel",style:a,svgAbove:e.slice(1)})}),R("overbrace","{:auto}",{createAtom:(e,t,a,i)=>new At(e,i,{body:t[0],skipBoundary:!1,supsubPlacement:"over-under",paddedBody:!0,boxType:"mord",style:a,svgAbove:e.slice(1)})}),R(["underrightarrow","underleftarrow","underleftrightarrow","underlinesegment","undergroup"],"{:auto}",{createAtom:(e,t,a,i)=>new At(e,i,{body:t[0],skipBoundary:!1,supsubPlacement:"over-under",paddedBody:!0,boxType:"mrel",style:a,svgBelow:e.slice(1)})}),R(["underbrace"],"{:auto}",{createAtom:(e,t,a,i)=>new At(e,i,{body:t[0],skipBoundary:!1,supsubPlacement:"over-under",paddedBody:!0,boxType:"mord",style:a,svgBelow:e.slice(1)})}),R(["xrightarrow","xleftarrow","xRightarrow","xLeftarrow","xleftharpoonup","xleftharpoondown","xrightharpoonup","xrightharpoondown","xlongequal","xtwoheadleftarrow","xtwoheadrightarrow","xleftrightarrow","xLeftrightarrow","xrightleftharpoons","xleftrightharpoons","xhookleftarrow","xhookrightarrow","xmapsto","xtofrom","xrightleftarrows","xrightequilibrium","xleftequilibrium"],"[:auto]{:auto}",{createAtom:(e,t,a,i)=>{var o,r;return new At(e,i,{style:a,svgBody:e.slice(1),above:0===(null===(o=t[1])||void 0===o?void 0:o.length)?void 0:t[1],below:null!==(r=t[0])&&void 0!==r?r:null,skipBoundary:!1,supsubPlacement:"over-under",paddedBody:!0,paddedLabels:!0,boxType:"mrel",serialize:(t,a)=>e+(t.hasEmptyBranch("below")?"":`[${t.belowToLatex(a)}]`)+`{${t.aboveToLatex(a)}}${t.supsubToLatex(a)}`})}}),R(["arccos","arcsin","arctan","arctg","arcctg","arg","ch","cos","cosh","cot","cotg","coth","ctg","cth","csc","cosec","dim","exp","hom","inf","ker","lb","lg","ln","log","Pr","sec","sh","sin","sinh","sup","tan","tanh","tg","th","arcsec","arccsc","arsinh","arcosh","artanh","arcsech","arccsch"],"",{isFunction:!0,createAtom:(e,t,a,i)=>new ra(e,e.slice(1),i,{limits:"adjacent",isFunction:!0,variant:"main",variantStyle:"up",style:a})}),R(["liminf","limsup"],"",{createAtom:(e,t,a,i)=>new ra(e,{"\\liminf":"lim inf","\\limsup":"lim sup"}[e],i,{limits:"over-under",variant:"main",style:a})}),R(["lim","mod"],"",{createAtom:(e,t,a,i)=>new ra(e,e.slice(1),i,{limits:"over-under",variant:"main",style:a})}),R(["det","max","min"],"",{isFunction:!0,createAtom:(e,t,a,i)=>new ra(e,e.slice(1),i,{limits:"over-under",isFunction:!0,variant:"main",style:a})}),R(["ang"],"{:math}",{isFunction:!0,createAtom:(e,t,a,i)=>new Tt([...t[0],new dt("mord",i,{value:"\xb0",style:a})],i,{mode:"math",latexOpen:"\\ang{",latexClose:"}",style:a})}),R("sqrt","[index:auto]{radicand:auto}",{createAtom:(e,t,a,i)=>new da(e,i,{body:t[1],index:t[0],style:a})}),R(["frac","dfrac","tfrac","cfrac","binom","dbinom","tbinom"],"{numerator}{denominator}",{createAtom:(e,t,a,i)=>{const o={style:a};switch(e){case"\\dfrac":case"\\frac":case"\\tfrac":o.hasBarLine=!0;break;case"\\atopfrac":o.hasBarLine=!1;break;case"\\dbinom":case"\\binom":case"\\tbinom":o.hasBarLine=!1,o.leftDelim="(",o.rightDelim=")"}switch(e){case"\\dfrac":case"\\dbinom":o.mathstyleName="displaystyle";break;case"\\tfrac":case"\\tbinom":o.mathstyleName="textstyle";break;case"\\cfrac":o.hasBarLine=!0,o.continuousFraction=!0}return new ta(e,t[0],t[1],i,o)}}),R(["brace","brack"],"",{infix:!0,createAtom:(e,t,a,i)=>new ta(e,t[0],t[1],i,{hasBarLine:!1,leftDelim:"\\brace"===e?"\\lbrace":"\\lbrack",rightDelim:"\\brace"===e?"\\rbrace":"\\rbrack",style:a,serialize:(e,t)=>it([e.aboveToLatex(t),e.command,e.belowToLatex(t)])})}),R(["over","atop","choose"],"",{infix:!0,createAtom:(e,t,a,i)=>{let o,r;return"\\choose"===e&&(o="(",r=")"),new ta(e,t[0],t[1],i,{hasBarLine:"\\over"===e,leftDelim:o,rightDelim:r,style:a,serialize:(e,t)=>it([e.aboveToLatex(t),e.command,e.belowToLatex(t)])})}}),R(["overwithdelims","atopwithdelims"],"{numer:auto}{denom:auto}{left-delim:delim}{right-delim:delim}",{infix:!0,createAtom:(e,t,a,i)=>new ta(e,t[0],t[1],i,{leftDelim:t[2],rightDelim:t[3],hasBarLine:!1,style:a,serialize:(e,t)=>`${e.aboveToLatex(t)} ${e.command}${e.leftDelim}${e.rightDelim}${e.belowToLatex(t)}`})}),R("pdiff","{numerator}{denominator}",{createAtom:(e,t,a,i)=>new ta(e,t[0],t[1],i,{hasBarLine:!0,numerPrefix:"\u2202",denomPrefix:"\u2202",style:a})}),R(["sum","prod","bigcup","bigcap","coprod","bigvee","bigwedge","biguplus","bigotimes","bigoplus","bigodot","bigsqcup","smallint","intop"],"",{createAtom:(e,t,a,i)=>new ra(e,{coprod:"\u2210",bigvee:"\u22c1",bigwedge:"\u22c0",biguplus:"\u2a04",bigcap:"\u22c2",bigcup:"\u22c3",intop:"\u222b",prod:"\u220f",sum:"\u2211",bigotimes:"\u2a02",bigoplus:"\u2a01",bigodot:"\u2a00",bigsqcup:"\u2a06",smallint:"\u222b"}[e.slice(1)],i,{isExtensibleSymbol:!0,limits:"auto",variant:"main",style:a})});const La={int:"\u222b",iint:"\u222c",iiint:"\u222d",oint:"\u222e",oiint:"\u222f",oiiint:"\u2230",intclockwise:"\u2231",varointclockwise:"\u2232",ointctrclockwise:"\u2233",intctrclockwise:"\u2a11",sqcup:"\u2294",sqcap:"\u2293",uplus:"\u228e",wr:"\u2240",amalg:"\u2a3f",Cap:"\u22d2",Cup:"\u22d3",doublecap:"\u22d2",doublecup:"\u22d3"};function Ca(e,t){return e[0]===t[0]&&e[1]===t[1]?"equal":"different"}function Aa(e){let t=1/0,a=-1/0;for(const i of e.ranges)t=Math.min(t,i[0],i[1]),a=Math.max(a,i[0],i[1]);return[t,a]}function Ta(e,t,a){return a?function(e,t){if(!t)return"";if("string"==typeof t)return t;if(!e||void 0===t.after)return t.value;let a=!1,i=!1,o=!1,r=!1,n=!1,s=!1,l=!1,d=!1,c=!1,u=!1,p=!1,h=!1,m=!1,f=!1,y=!1,b=e[0],g=0;for(;b&&/msubsup|placeholder/.test(b.type);)g+=1,b=e[g];return a=!b||"first"===b.type,b&&(f="text"===b.mode,i=!f&&"mord"===b.type&&A.test(b.value),o=!f&&"mord"===b.type&&/\d+$/.test(b.value),r=!f&&b.isFunction,n="genfrac"===b.type,s="surd"===b.type,l="mbin"===b.type,d="mrel"===b.type,c="mop"===b.type,u="mpunct"===b.type||"minner"===b.type,p="array"===b.type,h="mopen"===b.type,m="mclose"===b.type||"leftright"===b.type,y="space"===b.type),t.after.includes("nothing")&&a||t.after.includes("letter")&&i||t.after.includes("digit")&&o||t.after.includes("function")&&r||t.after.includes("frac")&&n||t.after.includes("surd")&&s||t.after.includes("binop")&&l||t.after.includes("relop")&&d||t.after.includes("operator")&&c||t.after.includes("punct")&&u||t.after.includes("array")&&p||t.after.includes("openfence")&&h||t.after.includes("closefence")&&m||t.after.includes("text")&&f||t.after.includes("space")&&y?t.value:""}(e,a[t]):""}R(Object.keys(La),"",{createAtom:(e,t,a,i)=>new ra(e,La[e.slice(1)],i,{limits:"adjacent",isExtensibleSymbol:!0,style:a,variant:{"\u22d2":"ams","\u22d3":"ams"}[La[e.slice(1)]]})}),R(["Re","Im"],"",{createAtom:(e,t,a,i)=>new ra(e,{"\\Re":"\u211c","\\Im":"\u2111"}[e],i,{limits:"adjacent",style:a,isFunction:!0,variant:"fraktur"})}),R("middle","{:delim}",{createAtom:(e,t,a,i)=>new Yt(e,t[0],i,{size:1,style:a})}),z("0123456789/@.?!"),B(65,90),B(97,122),z([["\\forall",8704],["\\exists",8707],["\\nexists",8708,"mord","ams"],["\\mid",8739,"mrel"],["\\top",8868],["\\bot",8869]]),z([["\\sharp",9839],["\\flat",9837],["\\natural",9838],["\\#",35],["\\&",38],["\\clubsuit",9827],["\\heartsuit",9825],["\\spadesuit",9824],["\\diamondsuit",9826],["\\parallelogram",9649]]),z([["\\backslash",92],["\\nabla",8711],["\\partial",8706],["\\ell",8467],["\\hbar",8463],["\\Q",81,"mord","double-struck"],["\\C",67,"mord","double-struck"],["\\P",80,"mord","double-struck"],["\\pounds",163],["\\euro",8364]]),z([["\\rightarrow",8594],["\\to",8594],["\\leftarrow",8592],["\\gets",8592],["\\Rightarrow",8658],["\\Leftarrow",8656],["\\longrightarrow",10230],["\\longleftarrow",10229],["\\Longrightarrow",10233],["\\implies",10233],["\\Longleftarrow",10232],["\\impliedby",10232],["\\longleftrightarrow",10231],["\\biconditional",10231],["\\Longleftrightarrow",10234],["\\mapsto",8614],["\\longmapsto",10236],["\\uparrow",8593],["\\downarrow",8595],["\\Uparrow",8657],["\\Downarrow",8659],["\\updownarrow",8597],["\\Updownarrow",8661],["\\hookrightarrow",8618],["\\hookleftarrow",8617],["\\rightharpoonup",8640],["\\leftharpoonup",8636],["\\rightharpoondown",8641],["\\leftharpoondown",8637],["\\searrow",8600],["\\nearrow",8599],["\\swarrow",8601],["\\nwarrow",8598],["\\originalof",8886],["\\laplace",8886],["\\imageof",8887],["\\Laplace",8887]],"mrel"),z([["\\lbrace",123,"mopen"],["\\rbrace",125,"mclose"],["\\lparen",40,"mopen"],["\\rparen",41,"mclose"],["\\langle",10216,"mopen"],["\\rangle",10217,"mclose"],["\\lfloor",8970,"mopen"],["\\rfloor",8971,"mclose"],["\\lceil",8968,"mopen"],["\\rceil",8969,"mclose"],["\\vert",8739],["\\lvert",8739,"mopen"],["\\rvert",8739,"mclose"],["\\|",8741],["\\Vert",8741],["\\mVert",8741],["\\lVert",8741,"mopen"],["\\rVert",8741,"mclose"],["\\lbrack",91,"mopen"],["\\rbrack",93,"mclose"],["\\{",123,"mopen"],["\\}",125,"mclose"],["(",40,"mopen"],[")",41,"mclose"],["[",91,"mopen"],["]",93,"mclose"],["\\ulcorner",9484,"mopen","ams"],["\\urcorner",9488,"mclose","ams"],["\\llcorner",9492,"mopen","ams"],["\\lrcorner",9496,"mclose","ams"],["\\lgroup",10222,"mopen"],["\\rgroup",10223,"mclose"],["\\lmoustache",9136,"mopen"],["\\rmoustache",9137,"mclose"]]),z([["\\dashrightarrow",8674],["\\dashleftarrow",8672],["\\Rrightarrow",8667],["\\Lleftarrow",8666],["\\leftrightarrows",8646],["\\rightleftarrows",8644],["\\curvearrowright",8631],["\\curvearrowleft",8630],["\\rightrightarrows",8649],["\\leftleftarrows",8647],["\\upuparrows",8648],["\\downdownarrows",8650],["\\vartriangle",9651],["\\triangleq",8796],["\\vartriangleleft",8882],["\\trianglelefteq",8884],["\\ntriangleleft",8938],["\\ntrianglelefteq",8940],["\\vartriangleright",8883],["\\trianglerighteq",8885],["\\ntriangleright",8939],["\\ntrianglerighteq",8941],["\\blacktriangleleft",9664],["\\blacktriangleright",9654],["\\leftarrowtail",8610],["\\rightarrowtail",8611],["\\looparrowright",8620],["\\looparrowleft",8619],["\\twoheadleftarrow",8606],["\\twoheadrightarrow",8608],["\\rightleftharpoons",8652],["\\leftrightharpoons",8651],["\\Rsh",8625],["\\Lsh",8624],["\\circlearrowright",8635],["\\circlearrowleft",8634],["\\restriction",8638],["\\upharpoonright",8638],["\\upharpoonleft",8639],["\\downharpoonright",8642],["\\downharpoonleft",8643],["\\rightsquigarrow",8669],["\\leadsto",8669],["\\leftrightsquigarrow",8621],["\\multimap",8888],["\\nrightarrow",8603],["\\nleftarrow",8602],["\\nRightarrow",8655],["\\nLeftarrow",8653],["\\nleftrightarrow",8622],["\\nLeftrightarrow",8654],["\\shortparallel",8741],["\\nless",8814],["\\nleqslant",57360],["\\lneq",10887],["\\lneqq",8808],["\\nleqq",57361],["\\lvertneqq",57356],["\\lnsim",8934],["\\lnapprox",10889],["\\nprec",8832],["\\npreceq",8928],["\\precnsim",8936],["\\precnapprox",10937],["\\nsim",8769],["\\nshortmid",57350],["\\nmid",8740],["\\nvdash",8876],["\\nvDash",8877],["\\ngtr",8815],["\\ngeqslant",57359],["\\ngeqq",57358],["\\gneq",10888],["\\gneqq",8809],["\\gvertneqq",57357],["\\gnsim",8935],["\\gnapprox",10890],["\\nsucc",8833],["\\nsucceq",8929],["\\succnsim",8937],["\\succnapprox",10938],["\\ncong",8774],["\\nshortparallel",57351],["\\nparallel",8742],["\\nVDash",8879],["\\nsupseteqq",57368],["\\supsetneq",8843],["\\varsupsetneq",57371],["\\supsetneqq",10956],["\\varsupsetneqq",57369],["\\nVdash",8878],["\\precneqq",10933],["\\succneqq",10934],["\\nsubseteqq",57366],["\\leqslant",10877],["\\geqslant",10878],["\\gtrsim",8819],["\\approxeq",8778],["\\thickapprox",8776],["\\lessapprox",10885],["\\gtrapprox",10886],["\\precapprox",10935],["\\succapprox",10936],["\\thicksim",8764],["\\succsim",8831],["\\precsim",8830],["\\backsim",8765],["\\eqsim",8770],["\\backsimeq",8909],["\\lesssim",8818],["\\nleq",8816],["\\ngeq",8817],["\\smallsmile",8995],["\\smallfrown",8994],["\\leqq",8806],["\\eqslantless",10901],["\\lll",8920],["\\lessgtr",8822],["\\lesseqgtr",8922],["\\lesseqqgtr",10891],["\\risingdotseq",8787],["\\fallingdotseq",8786],["\\subseteqq",10949],["\\Subset",8912],["\\sqsubset",8847],["\\preccurlyeq",8828],["\\curlyeqprec",8926],["\\vDash",8872],["\\Vvdash",8874],["\\bumpeq",8783],["\\Bumpeq",8782],["\\geqq",8807],["\\eqslantgtr",10902],["\\ggg",8921],["\\gtrless",8823],["\\gtreqless",8923],["\\gtreqqless",10892],["\\supseteqq",10950],["\\Supset",8913],["\\sqsupset",8848],["\\succcurlyeq",8829],["\\curlyeqsucc",8927],["\\Vdash",8873],["\\shortmid",8739],["\\between",8812],["\\pitchfork",8916],["\\varpropto",8733],["\\backepsilon",8717],["\\llless",8920],["\\gggtr",8921],["\\doteqdot",8785],["\\Doteq",8785],["\\eqcirc",8790],["\\circeq",8791],["\\therefore",8756],["\\because",8757]],"mrel","ams"),z([["+",43],["-",8722],["\u2212",8722],["\\pm",177],["\\mp",8723],["*",8727],["\\times",215],["\\div",247],["\\divides",8739],["\\cdot",8901],["\\cap",8745],["\\cup",8746],["\\setminus",8726],["\\land",8743],["\\wedge",8743],["\\lor",8744],["\\vee",8744],["\\circ",8728],["\\bigcirc",9711],["\\bullet",8729],["\\oplus",8853],["\\ominus",8854],["\\otimes",8855],["\\odot",8857],["\\oslash",8856],["\\bigtriangleup",9651],["\\bigtriangledown",9661],["\\triangleleft",9667],["\\triangleright",9657],["\\And",38],["\\dagger",8224],["\\dag",8224],["\\ddag",8225],["\\ddagger",8225],["\\ast",8727],["\\star",8902],["\\bigstar",9733],["\\diamond",8900]],"mbin"),z([["\\lhd",8882],["\\rhd",8883],["\\lessdot",8918],["\\gtrdot",8919],["\\ltimes",8905],["\\rtimes",8906],["\\leftthreetimes",8907],["\\rightthreetimes",8908],["\\intercal",8890],["\\dotplus",8724],["\\doublebarwedge",10846],["\\divideontimes",8903],["\\centerdot",8901],["\\smallsetminus",8726],["\\barwedge",8892],["\\veebar",8891],["\\nor",8891],["\\curlywedge",8911],["\\curlyvee",8910],["\\boxminus",8863],["\\boxplus",8862],["\\boxtimes",8864],["\\boxdot",8865],["\\circleddash",8861],["\\circledast",8859],["\\circledcirc",8858],["\\unlhd",8884],["\\unrhd",8885]],"mbin","ams"),z([["\\surd",8730],["\\infty",8734],["\\prime",8242],["\\doubleprime",8243],["\\angle",8736],["`",8216],["\\$",36],["\\%",37],["\\_",95],["\\alpha",945],["\\beta",946],["\\gamma",947],["\\delta",948],["\\epsilon",1013],["\\varepsilon",949],["\\zeta",950],["\\eta",951],["\\theta",952],["\\vartheta",977],["\\iota",953],["\\kappa",954],["\\varkappa",1008,"mord","ams"],["\\lambda",955],["\\mu",956],["\\nu",957],["\\xi",958],["\\omicron",111],["\\pi",960],["\\varpi",982],["\\rho",961],["\\varrho",1009],["\\sigma",963],["\\varsigma",962],["\\tau",964],["\\phi",981],["\\varphi",966],["\\upsilon",965],["\\chi",967],["\\psi",968],["\\omega",969],["\\Gamma",915],["\\Delta",916],["\\Theta",920],["\\Lambda",923],["\\Xi",926],["\\Pi",928],["\\Sigma",931],["\\Upsilon",933],["\\Phi",934],["\\Psi",936],["\\Omega",937],["\\digamma",989,"mord","ams"],["\\emptyset",8709]]),z([["=",61],["<",60],["\\lt",60],[">",62],["\\gt",62],["\\le",8804],["\\leq",8804],["\\ge",8805],["\\geq",8805],["\\ll",8810],["\\gg",8811],["\\coloneq",8788],["\\measeq",8797],["\\eqdef",8798],["\\questeq",8799],[":",58],["\\cong",8773],["\\equiv",8801],["\\prec",8826],["\\preceq",10927],["\\succ",8827],["\\succeq",10928],["\\perp",8869],["\\propto",8733],["\\Colon",8759],["\\smile",8995],["\\frown",8994],["\\sim",8764],["\\doteq",8784],["\\bowtie",8904],["\\Join",8904],["\\asymp",8781],["\\sqsubseteq",8849],["\\sqsupseteq",8850],["\\approx",8776],["\\~",126],["\\leftrightarrow",8596],["\\Leftrightarrow",8660],["\\models",8872],["\\vdash",8866],["\\dashv",8867],["\\roundimplies",10608],["\\in",8712],["\\notin",8713],["\\ni",8715],["\\owns",8715],["\\subset",8834],["\\supset",8835],["\\subseteq",8838],["\\supseteq",8839],["\\differencedelta",8710],["\\mvert",8739],["\\parallel",8741],["\\simeq",8771]],"mrel"),z([["\\lnot",172],["\\neg",172],["\\triangle",9651],["\\subsetneq",8842],["\\varsubsetneq",57370],["\\subsetneqq",10955],["\\varsubsetneqq",57367],["\\nsubset",8836],["\\nsupset",8837],["\\nsubseteq",8840],["\\nsupseteq",8841]],"mrel","ams"),z([["\\wp",8472],["\\aleph",8501]]),z([["\\blacktriangle",9650],["\\hslash",8463],["\\Finv",8498],["\\Game",8513],["\\eth",240],["\\mho",8487],["\\Bbbk",107],["\\yen",165],["\\square",9633],["\\Box",9633],["\\blacksquare",9632],["\\circledS",9416],["\\circledR",174],["\\triangledown",9661],["\\blacktriangledown",9660],["\\checkmark",10003],["\\diagup",9585],["\\measuredangle",8737],["\\sphericalangle",8738],["\\backprime",8245],["\\backdoubleprime",8246],["\\Diamond",9674],["\\lozenge",9674],["\\blacklozenge",10731],["\\varnothing",8709],["\\complement",8705],["\\maltese",10016],["\\beth",8502],["\\daleth",8504],["\\gimel",8503]],"mord","ams"),z([["\\ ",160],["~",160],["\\space",160]],"space"),R(["!",",",":",";","enskip","enspace","quad","qquad"],"",{createAtom:(e,t,a,i)=>new Dt(e,a,i)}),z([["\\colon",58],["\\cdotp",8901],["\\vdots",8942,"mord"],["\\ldotp",46],[",",44],[";",59]],"mpunct"),z([["\\cdots",8943],["\\ddots",8945],["\\ldots",8230],["\\mathellipsis",8230]],"minner"),z([["\\/",47],["|",8739,"mord"],["\\imath",305],["\\jmath",567],["\\degree",176],["'",8242],['"',8221]]);const Da={"&":"\\&","%":"\\%","''":"^{\\doubleprime}",alpha:"\\alpha",delta:"\\delta",Delta:"\\Delta",pi:"\\pi",Pi:"\\Pi",theta:"\\theta",Theta:"\\Theta",ii:{after:"nothing+digit+function+frac+surd+binop+relop+punct+array+openfence+closefence+space+text",value:"\\imaginaryI"},jj:{after:"nothing+digit+function+frac+surd+binop+relop+punct+array+openfence+closefence+space+text",value:"\\imaginaryJ"},ee:{after:"nothing+digit+function+frac+surd+binop+relop+punct+array+openfence+closefence+space+text",value:"\\exponentialE"},nabla:"\\nabla",grad:"\\nabla",del:"\\partial",deg:{after:"digit+space",value:"\\degree"},infty:"\\infty","\u221e":"\\infty",oo:{after:"nothing+digit+frac+surd+binop+relop+punct+array+openfence+closefence+space",value:"\\infty"},"\u2211":"\\sum",sum:"\\sum_{#?}^{#?}",int:"\\int_{#?}^{#?}",prod:"\\prod_{#?}^{#?}",sqrt:"\\sqrt{#?}","\u2206":"\\differentialD","\u2202":"\\differentialD",arcsin:"\\arcsin",arccos:"\\arccos",arctan:"\\arctan",arcsec:"\\arcsec",arccsc:"\\arccsc",arsinh:"\\arsinh",arcosh:"\\arcosh",artanh:"\\artanh",arcsech:"\\arcsech",arccsch:"\\arccsch",arg:"\\arg",ch:"\\ch",cosec:"\\cosec",cosh:"\\cosh",cot:"\\cot",cotg:"\\cotg",coth:"\\coth",csc:"\\csc",ctg:"\\ctg",cth:"\\cth",sec:"\\sec",sinh:"\\sinh",sh:"\\sh",tanh:"\\tanh",tg:"\\tg",th:"\\th",sin:"\\sin",cos:"\\cos",tan:"\\tan",lg:"\\lg",lb:"\\lb",log:"\\log",ln:"\\ln",exp:"\\exp",lim:"\\lim_{#?}",dx:{after:"nothing+digit+function+frac+surd+binop+relop+punct+array+openfence+closefence+space+text",value:"\\differentialD x"},dy:{after:"nothing+digit+function+frac+surd+binop+relop+punct+array+openfence+closefence+space+text",value:"\\differentialD y"},dt:{after:"nothing+digit+function+frac+surd+binop+relop+punct+array+openfence+closefence+space+text",value:"\\differentialD t"},AA:"\\forall",EE:"\\exists","!EE":"\\nexists","&&":"\\land",xin:{after:"nothing+text+relop+punct+openfence+space",value:"x \\in"},in:{after:"nothing+letter+closefence",value:"\\in"},"!in":"\\notin",NN:"\\mathbb{N}",ZZ:"\\Z",QQ:"\\Q",RR:"\\R",CC:"\\C",xx:"\\times","+-":"\\pm","\u2260":"\\ne","!=":"\\ne","\u2265":"\\ge",">=":"\\ge","\u2264":"\\le","<=":"\\le","<<":"\\ll",">>":"\\gg","~~":"\\approx","\u2248":"\\approx","?=":"\\questeq","\xf7":"\\div","\xac":"\\neg",":=":"\\coloneq","::":"\\Colon","(:":"\\langle",":)":"\\rangle",beta:"\\beta",chi:"\\chi",epsilon:"\\epsilon",varepsilon:"\\varepsilon",eta:{after:"nothing+digit+function+frac+surd+binop+relop+punct+array+openfence+closefence+space+text",value:"\\eta"},gamma:"\\gamma",Gamma:"\\Gamma",iota:"\\iota",kappa:"\\kappa",lambda:"\\lambda",Lambda:"\\Lambda",mu:{after:"nothing+digit+function+frac+surd+binop+relop+punct+array+openfence+closefence+space+text",value:"\\mu"},nu:{after:"nothing+digit+function+frac+surd+binop+relop+punct+array+openfence+closefence+space+text",value:"\\nu"},\u00b5:"\\mu",phi:{after:"nothing+digit+function+frac+surd+binop+relop+punct+array+openfence+closefence+space+text",value:"\\phi"},Phi:{after:"nothing+digit+function+frac+surd+binop+relop+punct+array+openfence+closefence+space+text",value:"\\Phi"},varphi:"\\varphi",psi:{after:"nothing+digit+function+frac+surd+binop+relop+punct+array+openfence+closefence+space+text",value:"\\psi"},Psi:{after:"nothing+digit+function+frac+surd+binop+relop+punct+array+openfence+closefence+space+text",value:"\\Psi"},rho:{after:"nothing+digit+function+frac+surd+binop+relop+punct+array+openfence+closefence+space+text",value:"\\rho"},sigma:"\\sigma",Sigma:"\\Sigma",tau:{after:"nothing+digit+function+frac+surd+binop+relop+punct+array+openfence+closefence+space+text",value:"\\tau"},vartheta:"\\vartheta",upsilon:"\\upsilon",xi:{after:"nothing+digit+function+frac+surd+binop+relop+punct+array+openfence+closefence+space",value:"\\xi"},Xi:{after:"nothing+digit+function+frac+surd+binop+relop+punct+array+openfence+closefence+space+text",value:"\\Xi"},zeta:"\\zeta",omega:"\\omega",Omega:"\\Omega",\u03a9:"\\omega",forall:"\\forall",exists:"\\exists","!exists":"\\nexists",":.":"\\therefore",liminf:"\\liminf_{#?}",limsup:"\\limsup_{#?}",argmin:"\\operatorname*{arg~min}_{#?}",argmax:"\\operatorname*{arg~max}_{#?}",det:"\\det",mod:"\\mod",max:"\\max",min:"\\min",erf:"\\operatorname{erf}",erfc:"\\operatorname{erfc}",bessel:"\\operatorname{bessel}",mean:"\\operatorname{mean}",median:"\\operatorname{median}",fft:"\\operatorname{fft}",lcm:"\\operatorname{lcm}",gcd:"\\operatorname{gcd}",randomReal:"\\operatorname{randomReal}",randomInteger:"\\operatorname{randomInteger}",Re:"\\operatorname{Re}",Im:"\\operatorname{Im}",mm:{after:"nothing+digit+operator",value:"\\operatorname{mm}"},cm:{after:"nothing+digit+operator",value:"\\operatorname{cm}"},km:{after:"nothing+digit+operator",value:"\\operatorname{km}"},kg:{after:"nothing+digit+operator",value:"\\operatorname{kg}"},"...":"\\ldots","+...":"+\\cdots","-...":"-\\cdots","->...":"\\to\\cdots","->":"\\to","|->":"\\mapsto","--\x3e":"\\longrightarrow","<--":"\\longleftarrow","=>":"\\Rightarrow","==>":"\\Longrightarrow","<=>":"\\Leftrightarrow","<->":"\\leftrightarrow","(.)":"\\odot","(+)":"\\oplus","(/)":"\\oslash","(*)":"\\otimes","(-)":"\\ominus","||":"\\Vert","{":"\\{","}":"\\}","*":"\\cdot"};function za(e,t){var a;let i=null!==(a=null==t?void 0:t.format)&&void 0!==a?a:"auto";return"auto"===i&&([i,e]=function(e){if((e=e.trim()).length<=1)return["latex",e];let t;return[t,e]=$a(e),t?["latex",e]:e.startsWith("`")&&e.endsWith("`")?["ascii-math",e=e.substring(1,e.length-1)]:e.includes("\\")?["latex",e]:/\$.+\$/.test(e)?["latex",`\\text{${e}}`]:[void 0,e]}(e)),"ascii-math"===i?["ascii-math",Ba(e=(e=(e=(e=(e=(e=e.replace(/\u2061/gu,"")).replace(/\u3016/gu,"{")).replace(/\u3017/gu,"}")).replace(/([^\\])sinx/g,"$1\\sin x")).replace(/([^\\])cosx/g,"$1\\cos x ")).replace(/\u2013/g,"-"),{inlineShortcuts:null==t?void 0:t.inlineShortcuts})]:["latex",e]}function Ba(e,t){var a,i,o;if(!e)return"";let r,n=!1;const s=null!==(a=t.inlineShortcuts)&&void 0!==a?a:Da;if(n||!e.startsWith("^")&&!e.startsWith("_")||(r=Ka(e.slice(1),{inlineShortcuts:s,noWrap:!0}),e=e[0]+"{"+r.match+"}",e+=Ba(r.rest,t),n=!0),!n&&(r=e.match(/^(sqrt|\u221A)(.*)/),r)&&(r=Ka(r[2],{inlineShortcuts:s,noWrap:!0}),e="\\sqrt{"+(null!==(i=r.match)&&void 0!==i?i:"\\placeholder{}")+"}",e+=Ba(r.rest,t),n=!0),!n&&(r=e.match(/^(\\cbrt|\u221B)(.*)/),r)&&(r=Ka(r[2],{inlineShortcuts:s,noWrap:!0}),e="\\sqrt[3]{"+(null!==(o=r.match)&&void 0!==o?o:"\\placeholder{}")+"}",e+=Ba(r.rest,t),n=!0),n||(r=e.match(/^abs(.*)/),r&&(r=Ka(r[1],{inlineShortcuts:s,noWrap:!0}),e="\\left|"+r.match+"\\right|",e+=Ba(r.rest,t),n=!0)),n||(r=e.match(/^["\u201d\u201c](.*?)["\u201d\u201c](.*)/),r&&(e="\\text{"+r[1]+"}",e+=Ba(r[2],t),n=!0)),n||(r=e.match(/^([^a-zA-Z\(\{\[\_\^\\\s"]+)(.*)/),r&&(e=Ea(r[1],s),e+=Ba(r[2],t),n=!0)),!n&&/^([fgh])[^a-zA-Z]/.test(e)&&(r=Ka(e.slice(1),{inlineShortcuts:s,noWrap:!0}),e="("===e[1]?e[0]+"\\left("+r.match+"\\right)":e[0]+r.match,e+=Ba(r.rest,t),n=!0),n||(r=e.match(/^([a-zA-Z]+)(.*)/),r&&(e=Ea(r[1],s),e+=Ba(r[2],t),n=!0)),!n)if(r=Ka(e,{inlineShortcuts:s,noWrap:!0}),r.match&&"/"===r.rest[0]){const a=Ka(r.rest.slice(1),{inlineShortcuts:s,noWrap:!0});a.match&&(e="\\frac{"+r.match+"}{"+a.match+"}"+Ba(a.rest,t)),n=!0}else r.match&&(e=e.startsWith("(")?"\\left("+r.match+"\\right)"+Ba(r.rest,t):r.match+Ba(r.rest,t),n=!0);return n||(r=e.match(/^(\s+)(.*)$/),r&&(e=" "+Ba(r[2],t),n=!0)),e}function Ka(e,t){let a="",i=e=e.trim(),o=e.charAt(0),r={"(":")","{":"}","[":"]"}[o];if(r){let n=1,s=1;for(;s<e.length&&n>0;)e[s]===o&&n++,e[s]===r&&n--,s++;0===n?(t.noWrap&&"("===o?a=Ba(e.substring(1,s-1),t):("{"===o&&"}"===r&&(o="\\{",r="\\}"),a="\\left"+o+Ba(e.substring(1,s-1),t)+"\\right"+r),i=e.slice(Math.max(0,s))):(a=e.substring(1,s),i="")}else{let o=e.match(/^([a-zA-Z]+)/);if(o){let a=Ta(null,e,t.inlineShortcuts);if(a)return a=a.replace("_{#?}",""),a=a.replace("^{#?}",""),{match:a,rest:e.slice(a.length)}}if(o=e.match(/^([a-zA-Z])/),o)return{match:o[1],rest:e.slice(1)};if(o=e.match(/^(-)?\d+(\.\d*)?/),o)return{match:o[0],rest:e.slice(o[0].length)};/^\\(left|right)/.test(e)||(o=e.match(/^(\\[a-zA-Z]+)/),o&&(i=e.slice(o[1].length),a=o[1]))}return{match:a,rest:i}}function Ea(e,t){let a=Ta(null,e,t);return a?(a=a.replace("_{#?}",""),a=a.replace("^{#?}",""),a+=" "):a=e,a}const qa=[["\\[","\\]"],["\\(","\\)"],["$$","$$"],["$","$"],["\\begin{math}","\\end{math}"],["\\begin{displaymath}","\\end{displaymath}"],["\\begin{equation}","\\end{equation}"],["\\begin{equation*}","\\end{equation*}"]];function $a(e){const t=e.trim();for(const e of qa)if(t.startsWith(e[0])&&t.endsWith(e[1]))return[!0,t.substring(e[0].length,t.length-e[1].length)];return[!1,e]}const Oa=(e,t,a)=>(qa.some((e=>t.startsWith(e[0])&&t.endsWith(e[1])))||(t=`$$ ${t} $$`),t);class Na{constructor(e){Na._registry[e]=this}static onPaste(e,t,a){var i;const o=new ClipboardEvent("paste",{clipboardData:a.clipboardData,cancelable:!0});return!!(null===(i=t.host)||void 0===i?void 0:i.dispatchEvent(o))&&Na._registry[e].onPaste(t,a)}static onCopy(e,t){if(!t.clipboardData)return;const a=e.model,i=a.selectionIsCollapsed?[0,a.lastOffset]:Aa(a.selection);let o=a.getAtoms(i);if(o.every((e=>"text"===e.mode||!e.mode)))t.clipboardData.setData("text/plain",o.filter((e=>e instanceof $t)).map((e=>e.value)).join(""));else if(o.every((e=>"latex"===e.mode)))t.clipboardData.setData("text/plain",a.getAtoms(i,{includeChildren:!0}).map((e=>{var t;return null!==(t=e.value)&&void 0!==t?t:""})).join(""));else{let r;r=1===o.length&&void 0!==o[0].verbatimLatex?o[0].verbatimLatex:a.getValue(i,"latex-expanded"),t.clipboardData.setData("application/x-latex",r);try{t.clipboardData.setData("text/plain",e.options.onExport(e,r,i))}catch{}1!==o.length||"root"!==o[0].type&&"group"!==o[0].type||(o=o[0].body.filter((e=>"first"!==e.type)));try{t.clipboardData.setData("application/json+mathlive",JSON.stringify(o.map((e=>e.toJson()))))}catch{}const n=e.computeEngine;if(n)try{n.jsonSerializationOptions={metadata:["latex"]};const e=n.parse(r),a=JSON.stringify(e.json);a&&t.clipboardData.setData("application/json",a)}catch{}}t.preventDefault()}static insert(e,t,a,i={}){return Na._registry[e].insert(t,a,i)}onPaste(e,t){return!1}insert(e,t,a){return!1}}Na._registry={};const Fa={"\\ne":"<mo>&ne;</mo>","\\neq":"<mo>&neq;</mo>","\\pm":"&#177;","\\times":"&#215;","\\colon":":","\\vert":"|","\\Vert":"\u2225","\\mid":"\u2223","\\lbrace":"{","\\rbrace":"}","\\lparen":"(","\\rparen":")","\\langle":"\u27e8","\\rangle":"\u27e9","\\lfloor":"\u230a","\\rfloor":"\u230b","\\lceil":"\u2308","\\rceil":"\u2309","\\vec":"&#x20d7;","\\acute":"&#x00b4;","\\grave":"&#x0060;","\\dot":"&#x02d9;","\\ddot":"&#x00a8;","\\tilde":"&#x007e;","\\bar":"&#x00af;","\\breve":"&#x02d8;","\\check":"&#x02c7;","\\hat":"&#x005e;"};function Pa(e){return e.replace(/"/g,"&quot;").replace(/'/g,"&#39;").replace(/</g,"&lt;").replace(/>/g,"&gt;")}function Ra(e,t){return e&&t.generateID?` extid="${e}"`:""}function Ia(e,t,a){let i=!1;t=null!=t?t:e.atoms.length;let o="",r="";const n=e.atoms[e.index];return e.index<t&&("mord"===n.type||"macro"===n.type)&&!n.isDigit()&&(r=Ya(n,a),e.index+=1),r.length>0&&(i=!0,o=r,"mi"!==e.lastType&&"mn"!==e.lastType&&"mtext"!==e.lastType&&"fence"!==e.lastType||/^<mo>(.*)<\/mo>$/.test(o)||(o=`<mo>&#8290;</mo>${o}`),r.endsWith(">f</mi>")||r.endsWith(">g</mi>")?(o+="<mo>&#x2061;</mo>",e.lastType="applyfunction"):e.lastType=/^<mo>(.*)<\/mo>$/.test(o)?"mo":"mi",Ha(r,e,a)||(e.mathML+=o)),i}function Va(e){return e.index<e.atoms.length&&e.atoms[e.index].superscript&&"msubsup"===e.atoms[e.index].type}function Ha(e,t,a){let i=t.atoms[t.index-1];if(!i)return!1;if(i.superscript||i.subscript||(Va(t)||function(e){return e.index<e.atoms.length&&e.atoms[e.index].subscript&&"msubsup"===e.atoms[e.index].type}(t))&&(i=t.atoms[t.index],t.index+=1),!i)return!1;const o=Xa(i.superscript,a),r=Xa(i.subscript,a);if(!o&&!r)return!1;let n="";return o&&r?n=`<msubsup>${e}${r}${o}</msubsup>`:o?n=`<msup>${e}${o}</msup>`:r&&(n=`<msub>${e}${r}</msub>`),t.mathML+=n,t.lastType="",!0}function ja(e,t,a){t=null!=t?t:e.atoms.length;const i=e.index;let o="";for(;e.index<t&&"text"===e.atoms[e.index].mode;)o+=e.atoms[e.index].value?e.atoms[e.index].value:" ",e.index+=1;return o.length>0&&(e.mathML+=`<mtext ${Ra(e.atoms[i].id,a)}\n      >${o}</mtext>`,e.lastType="mtext",!0)}function Wa(e,t,a){t=null!=t?t:e.atoms.length;const i=e.index;let o="",r=function(e){let t=-1,a=e.index,i=!1,o=!1;for(;a<e.atoms.length&&!i&&!o;){const t=e.atoms[a];i=!t.isDigit(),o=!i&&void 0!==t.superscript,a++}return o&&(t=a-1),t}(e);for(r>=0&&r<t&&(t=r);e.index<t&&e.atoms[e.index].isDigit();)o+=e.atoms[e.index].asDigit(),e.index+=1;return!(o.length<=0||(o="<mn"+Ra(e.atoms[i].id,a)+">"+o+"</mn>",r<0&&Va(e)&&(r=e.index,e.index+=1),Ha(o,e,a)||(e.mathML+=o,e.lastType="mn"),0))}function Ja(e,t,a){let i=!1;t=null!=t?t:e.atoms.length;let o="",r="";if(e.index<t&&"mopen"===e.atoms[e.index].type){let n=!1,s=0;const l=e.index;let d=-1,c=l+1;for(;c<t&&!n;)"mopen"===e.atoms[c].type?s+=1:"mclose"===e.atoms[c].type&&(s-=1),-1===s&&(n=!0,d=c),c+=1;n&&(o="<mrow>",o+=Ga(e.atoms[l],a),o+=Xa(e.atoms,a,l+1,d),o+=Ga(e.atoms[d],a),o+="</mrow>","mi"!==e.lastType&&"mn"!==e.lastType&&"mfrac"!==e.lastType&&"fence"!==e.lastType||(o=`<mo>&#8290;</mo>${o}`),e.index=d+1,Ha(o,e,a)&&(i=!0,e.lastType="",o=""),r="fence")}return o.length>0&&(i=!0,e.mathML+=o,e.lastType=r),i}function Ua(e,t,a){let i=!1;t=null!=t?t:e.atoms.length;let o="",r="";const n=e.atoms[e.index];if(e.index<t&&("mbin"===n.type||"mrel"===n.type))o+=Ya(e.atoms[e.index],a),e.index+=1,r="mo";else if(e.index<t&&"mop"===n.type){if("over-under"===n.subsupPlacement&&(n.superscript||n.subscript)){const e=Ga(n,a);n.superscript&&n.subscript?(o+="<munderover>"+e,o+=Xa(n.subscript,a),o+=Xa(n.superscript,a),o+="</munderover>"):n.superscript?(o+="<mover>"+e,o+=Xa(n.superscript,a),o+="</mover>"):n.subscript&&(o+="<munder>"+e,o+=Xa(n.subscript,a),o+="</munder>"),r="mo"}else{const t=e.atoms[e.index],i="\\operatorname"===t.value,n=i?'<mi class="MathML-Unit"'+Ra(t.id,a)+">"+Za(t.value)+"</mi>":Ga(t,a);o+=n,i||/^<mo>(.*)<\/mo>$/.test(n)?r=i?"mi":"mo":(o+="<mo>&#x2061;</mo>",r="applyfunction")}"mi"!==e.lastType&&"mn"!==e.lastType||/^<mo>(.*)<\/mo>$/.test(o)||(o=`<mo>&#8290;</mo>${o}`),e.index+=1}return Ha(o,e,a)||o.length>0&&(i=!0,e.mathML+=o,e.lastType=r),i}function Xa(e,t,a,i){const o={atoms:[],index:null!=a?a:0,mathML:"",lastType:""};if("number"==typeof e||"boolean"==typeof e)o.mathML=e.toString();else if("string"==typeof e)o.mathML=e;else if(e instanceof dt)o.mathML=Ya(e,t);else if(Array.isArray(e)){o.atoms=e;let a=0;for(i=i||(e?e.length:0);o.index<i;)if(ja(o,i,t)||Wa(o,i,t)||Ia(o,i,t)||Ua(o,i,t)||Ja(o,i,t))a+=1;else if(o.index<i){let e=Ya(o.atoms[o.index],t);"mn"===o.lastType&&e.length>0&&"genfrac"===o.atoms[o.index].type&&(e="<mo>&#x2064;</mo>"+e),"genfrac"===o.atoms[o.index].type?o.lastType="mfrac":o.lastType="",o.index+=1,Ha(e,o,t)?a+=2:e.length>0&&(o.mathML+=e,a+=1)}a>1&&(o.mathML="<mrow>"+o.mathML+"</mrow>")}return o.mathML}function Ga(e,t){let a="";const i=Za(e.value);return i&&(a="<mo"+Ra(e.id,t)+">"+i+"</mo>"),a}function Za(e){if(!e)return"";if("string"==typeof e)return Pa(e);if(!Array.isArray(e)&&"string"==typeof e.body)return Pa(e.body);let t="";for(const a of e)"string"==typeof a.value&&(t+=a.value);return Pa(t)}function Ya(e,t){var a,i,o,r,n,s,l,d,c,u,p,h,m,f,y,b,g,v,k,x,w,_,S,M,L;const C={widehat:"^",widecheck:"\u02c7",widetilde:"~",utilde:"~",overleftarrow:"\u2190",underleftarrow:"\u2190",xleftarrow:"\u2190",overrightarrow:"\u2192",underrightarrow:"\u2192",xrightarrow:"\u2192",underbrace:"\u23df",overbrace:"\u23de",overgroup:"\u23e0",undergroup:"\u23e1",overleftrightarrow:"\u2194",underleftrightarrow:"\u2194",xleftrightarrow:"\u2194",Overrightarrow:"\u21d2",xRightarrow:"\u21d2",overleftharpoon:"\u21bc",xleftharpoonup:"\u21bc",overrightharpoon:"\u21c0",xrightharpoonup:"\u21c0",xLeftarrow:"\u21d0",xLeftrightarrow:"\u21d4",xhookleftarrow:"\u21a9",xhookrightarrow:"\u21aa",xmapsto:"\u21a6",xrightharpoondown:"\u21c1",xleftharpoondown:"\u21bd",xrightleftharpoons:"\u21cc",xleftrightharpoons:"\u21cb",xtwoheadleftarrow:"\u219e",xtwoheadrightarrow:"\u21a0",xlongequal:"=",xtofrom:"\u21c4",xrightleftarrows:"\u21c4",xrightequilibrium:"\u21cc",xleftequilibrium:"\u21cb"},A={"\\exponentialE":"&#x02147;","\\imaginaryI":"&#x2148;","\\differentialD":"&#x2146;","\\capitalDifferentialD":"&#x2145;","\\alpha":"&#x03b1;","\\pi":"&#x03c0;","\\infty":"&#x221e;","\\forall":"&#x2200;","\\nexists":"&#x2204;","\\exists":"&#x2203;","\\hbar":"\u210f","\\cdotp":"\u22c5","\\ldots":"\u2026","\\cdots":"\u22ef","\\ddots":"\u22f1","\\vdots":"\u22ee","\\ldotp":"."},T={"\\!":-3/18,"\\ ":6/18,"\\,":3/18,"\\:":4/18,"\\;":5/18,"\\enspace":.5,"\\quad":1,"\\qquad":2,"\\enskip":.5};let D,z,B,K,E,q,$="",O="",N=null!==(i={cal:"script",frak:"fraktur",bb:"double-struck",scr:"script",cmtt:"monospace",cmss:"sans-serif"}[null!==(a=e.fontFamily)&&void 0!==a?a:e.font])&&void 0!==i?i:"";N&&(N=` mathvariant="${N}"`);const{command:F}=e;if("text"===e.mode)$=`<mi${Ra(e.id,t)}>${e.value}</mi>`;else switch(e.type){case"first":case"line":case"overlap":case"msubsup":case"phantom":case"composition":case"rule":case"chem":case"error":break;case"group":case"root":$=Fa[e.command]?Fa[e.command]:Xa(e.body,t);break;case"array":if((e.leftDelim&&"."!==e.leftDelim||e.rightDelim&&"."!==e.rightDelim)&&($+="<mrow>",e.leftDelim&&"."!==e.leftDelim&&($+="<mo>"+(Fa[e.leftDelim]||e.leftDelim)+"</mo>")),$+="<mtable",e.colFormat){for($+=' columnalign="',B=0;B<e.colFormat.length;B++)e.colFormat[B].align&&($+={l:"left",c:"center",r:"right"}[e.colFormat[B].align]+" ");$+='"'}for($+=">",z=0;z<e.array.length;z++){for($+="<mtr>",D=0;D<e.array[z].length;D++)$+="<mtd>"+Xa(e.array[z][D],t)+"</mtd>";$+="</mtr>"}$+="</mtable>",(e.leftDelim&&"."!==e.leftDelim||e.rightDelim&&"."!==e.rightDelim)&&(e.rightDelim&&"."!==e.rightDelim&&($+="<mo>"+(Fa[e.leftDelim]||e.rightDelim)+"</mo>"),$+="</mrow>");break;case"genfrac":(e.leftDelim||e.rightDelim)&&($+="<mrow>"),e.leftDelim&&"."!==e.leftDelim&&($+="<mo"+Ra(e.id,t)+">"+(Fa[e.leftDelim]||e.leftDelim)+"</mo>"),e.hasBarLine?($+="<mfrac>",$+=Xa(e.above,t)||"<mi>&nbsp;</mi>",$+=Xa(e.below,t)||"<mi>&nbsp;</mi>",$+="</mfrac>"):($+="<mtable"+Ra(e.id,t)+">",$+="<mtr>"+Xa(e.above,t)+"</mtr>",$+="<mtr>"+Xa(e.below,t)+"</mtr>",$+="</mtable>"),e.rightDelim&&"."!==e.rightDelim&&($+="<mo"+Ra(e.id,t)+">"+(Fa[e.rightDelim]||e.rightDelim)+"</mo>"),(e.leftDelim||e.rightDelim)&&($+="</mrow>");break;case"surd":e.hasEmptyBranch("above")?($+="<msqrt"+Ra(e.id,t)+">",$+=Xa(e.body,t),$+="</msqrt>"):($+="<mroot"+Ra(e.id,t)+">",$+=Xa(e.body,t),$+=Xa(e.above,t),$+="</mroot>");break;case"leftright":$="<mrow>",e.leftDelim&&"."!==e.leftDelim&&($+="<mo"+Ra(e.id,t)+">"+(null!==(o=Fa[e.leftDelim])&&void 0!==o?o:e.leftDelim)+"</mo>"),e.body&&($+=Xa(e.body,t)),e.rightDelim&&"."!==e.rightDelim&&($+="<mo"+Ra(e.id,t)+">"+(null!==(r=Fa[e.rightDelim])&&void 0!==r?r:e.rightDelim)+"</mo>"),$+="</mrow>";break;case"sizeddelim":case"delim":$+='<mo separator="true"'+Ra(e.id,t)+">"+(Fa[e.delim]||e.delim)+"</mo>";break;case"accent":$+='<mover accent="true"'+Ra(e.id,t)+">",$+=Xa(e.body,t),$+="<mo>"+(Fa[F]||e.accent)+"</mo>",$+="</mover>";break;case"overunder":E=e.above,K=e.below,(e.svgAbove||E)&&(e.svgBelow||K)?q=e.body:E&&E.length>0?(q=e.body,(null===(s=null===(n=e.body)||void 0===n?void 0:n[0])||void 0===s?void 0:s.below)?(K=e.body[0].below,q=e.body[0].body):"first"===(null===(d=null===(l=e.body)||void 0===l?void 0:l[0])||void 0===d?void 0:d.type)&&(null===(u=null===(c=e.body)||void 0===c?void 0:c[1])||void 0===u?void 0:u.below)&&(K=e.body[1].below,q=e.body[1].body)):K&&K.length>0&&(q=e.body,(null===(h=null===(p=e.body)||void 0===p?void 0:p[0])||void 0===h?void 0:h.above)?(E=e.body[0].above,q=e.body[0].body):"first"===(null===(f=null===(m=e.body)||void 0===m?void 0:m[0])||void 0===f?void 0:f.type)&&(null===(b=null===(y=e.body)||void 0===y?void 0:y[1])||void 0===b?void 0:b.above)&&(E=e.body[1].overscript,q=e.body[1].body)),(e.svgAbove||E)&&(e.svgBelow||K)?($+=`<munderover ${N} ${Ra(e.id,t)}>`,$+=null!==(g=C[e.svgBody])&&void 0!==g?g:Xa(q,t),$+=null!==(v=C[e.svgBelow])&&void 0!==v?v:Xa(K,t),$+=null!==(k=C[e.svgAbove])&&void 0!==k?k:Xa(E,t),$+="</munderover>"):e.svgAbove||E?($+=`<mover ${N} ${Ra(e.id,t)}>`+(null!==(x=C[e.svgBody])&&void 0!==x?x:Xa(q,t)),$+=null!==(w=C[e.svgAbove])&&void 0!==w?w:Xa(E,t),$+="</mover>"):(e.svgBelow||K)&&($+=`<munder ${N} ${Ra(e.id,t)}>`+(null!==(_=C[e.svgBody])&&void 0!==_?_:Xa(q,t)),$+=null!==(S=C[e.svgBelow])&&void 0!==S?S:Xa(K,t),$+="</munder>");break;case"placeholder":case"mord":{$=A[F]||F||("string"==typeof e.value?e.value:"");const a=F?F.match(/{?\\char"([\dabcdefABCDEF]*)}?/):null;a?$="&#x"+a[1]+";":$.length>0&&$.startsWith("\\")&&($="string"==typeof e.value&&e.value.charCodeAt(0)>255?"&#x"+("000000"+e.value.charCodeAt(0).toString(16)).slice(-4)+";":"string"==typeof e.value?e.value.charAt(0):"");const i=/\d/.test($)?"mn":"mi";$=`<${i}${N}${Ra(e.id,t)}>${Pa($)}</${i}>`;break}case"mbin":case"mrel":case"minner":$=F&&A[F]?"<mi"+Ra(e.id,t)+">"+A[F]+"</mi>":F&&Fa[F]?"<mo"+Ra(e.id,t)+">"+Fa[F]+"</mo>":Ga(e,t);break;case"mpunct":$='<mo separator="true"'+Ra(e.id,t)+">"+(null!==(M=Fa[F])&&void 0!==M?M:F)+"</mo>";break;case"mop":"\u200b"!==e.body&&($="<mo"+Ra(e.id,t)+">",$+="\\operatorname"===F?e.body:F||e.body,$+="</mo>");break;case"box":$='<menclose notation="box"',e.backgroundcolor&&($+=' mathbackground="'+e.backgroundcolor+'"'),$+=Ra(e.id,t)+">"+Xa(e.body,t)+"</menclose>";break;case"spacing":$+='<mspace width="'+(null!==(L=T[F])&&void 0!==L?L:0)+'em"/>';break;case"enclose":$='<menclose notation="';for(const t in e.notation)Object.prototype.hasOwnProperty.call(e.notation,t)&&e.notation[t]&&($+=O+t,O=" ");$+=Ra(e.id,t)+'">'+Xa(e.body,t)+"</menclose>";break;case"space":$+="&nbsp;";break;case"mopen":case"mclose":$+=Ga(e,t);break;case"macro":{const a=e.command+Za(e.macroArgs);a&&($+=`<mo ${Ra(e.id,t)}>${a}</mo>`)}break;case"latexgroup":case"tooltip":$+=Xa(e.body,t);break;case"latex":$+="<mtext"+Ra(e.id,t)+">"+e.value+"</mtext>"}return $}const Qa={"\\alpha":"alpha ","\\mu":"mew ","\\sigma":"sigma ","\\pi":"pie ","\\imaginaryI":"eye ","\\sum":"Summation ","\\prod":"Product ",a:'<phoneme alphabet="ipa" ph="e\u026a">a</phoneme>',A:'capital <phoneme alphabet="ipa" ph="e\u026a">A</phoneme>',"+":"plus ","-":"minus ",";":'<break time="150ms"/> semi-colon <break time="150ms"/>',",":'<break time="150ms"/> comma  <break time="150ms"/>',"|":'<break time="150ms"/>Vertical bar<break time="150ms"/>',"(":'<break time="150ms"/>Open paren. <break time="150ms"/>',")":'<break time="150ms"/> Close paren. <break time="150ms"/>',"=":"equals ","<":"is less than ","\\lt":"is less than ","<=":"is less than or equal to ","\\le":"is less than or equal to ","\\gt":"is greater than ",">":"is greater than ","\\ge":"is greater than or equal to ","\\geq":"is greater than or equal to ","\\leq":"is less than or equal to ","!":"factorial ","\\sin":"sine ","\\cos":"cosine ","\u200b":"","\u2212":"minus ",":":'<break time="150ms"/> such that <break time="200ms"/> ',"\\colon":'<break time="150ms"/> such that <break time="200ms"/> ',"\\hbar":"etch bar ","\\iff":'<break time="200ms"/>if, and only if, <break time="200ms"/>',"\\Longleftrightarrow":'<break time="200ms"/>if, and only if, <break time="200ms"/>',"\\land":"and ","\\lor":"or ","\\neg":"not ","\\div":"divided by ","\\forall":"for all ","\\exists":"there exists ","\\nexists":"there does not exists ","\\in":"element of ","\\N":'the set <break time="150ms"/><say-as interpret-as="character">n</say-as>',"\\C":'the set <break time="150ms"/><say-as interpret-as="character">c</say-as>',"\\Z":'the set <break time="150ms"/><say-as interpret-as="character">z</say-as>',"\\Q":'the set <break time="150ms"/><say-as interpret-as="character">q</say-as>',"\\infty":"infinity ","\\nabla":"nabla ","\\partial":"partial derivative of ","\\cdot":"times ","\\cdots":"dot dot dot ","\\Rightarrow":"implies ","\\lparen":'<break time="150ms"/>open paren<break time="150ms"/>',"\\rparen":'<break time="150ms"/>close paren<break time="150ms"/>',"\\lbrace":'<break time="150ms"/>open brace<break time="150ms"/>',"\\{":'<break time="150ms"/>open brace<break time="150ms"/>',"\\rbrace":'<break time="150ms"/>close brace<break time="150ms"/>',"\\}":'<break time="150ms"/>close brace<break time="150ms"/>',"\\langle":'<break time="150ms"/>left angle bracket<break time="150ms"/>',"\\rangle":'<break time="150ms"/>right angle bracket<break time="150ms"/>',"\\lfloor":'<break time="150ms"/>open floor<break time="150ms"/>',"\\rfloor":'<break time="150ms"/>close floor<break time="150ms"/>',"\\lceil":'<break time="150ms"/>open ceiling<break time="150ms"/>',"\\rceil":'<break time="150ms"/>close ceiling<break time="150ms"/>',"\\vert":'<break time="150ms"/>vertical bar<break time="150ms"/>',"\\mvert":'<break time="150ms"/>divides<break time="150ms"/>',"\\lvert":'<break time="150ms"/>left vertical bar<break time="150ms"/>',"\\rvert":'<break time="150ms"/>right vertical bar<break time="150ms"/>',"\\lbrack":'<break time="150ms"/> open square bracket <break time="150ms"/>',"\\rbrack":'<break time="150ms"/> close square bracket <break time="150ms"/>',mm:"millimeters",cm:"centimeters",km:"kilometers",kg:"kilograms"};function ei(e){let a=0;if(t(e))for(const t of e)"first"!==t.type&&(a+=1);return 1===a}function ti(e){let a="";if(t(e))for(const t of e)"first"!==t.type&&"string"==typeof t.value&&(a+=t.value);return a}function ai(e,a,i){var o,r,n,s;function l(e){return"<emphasis>"+e+"</emphasis>"}if(!a)return"";let d="";if(t(a)){let t=!1,r=!1;for(let n=0;n<a.length;n++)"text"!==a[n].mode&&(r=!1),n<a.length-2&&"mopen"===a[n].type&&"mclose"===a[n+2].type&&"mord"===a[n+1].type?(d+=" of ",d+=l(ai(e,a[n+1],i)),n+=2):"text"===a[n].mode?r?d+=null!==(o=a[n].value)&&void 0!==o?o:" ":(r=!0,d+=ai("text",a[n],i)):a[n].isDigit()?t?d+=a[n].asDigit():(t=!0,d+=ai(e,a[n],i)):(t=!1,d+=ai(e,a[n],i))}else if("text"===a.mode)a.id&&"math"===e&&(d+='<mark name="'+a.id.toString()+'"/>'),d+=a.value;else{a.id&&"math"===e&&(d+='<mark name="'+a.id.toString()+'"/>');let o="",p="",h="",m=!1;switch(a.type){case"group":case"root":d+=ai("math",a.body,i);break;case"genfrac":if(o=ai("math",a.above,i),p=ai("math",a.below,i),ei(a.above)&&ei(a.below)){const e={"1/2":" half ","1/3":" one third ","2/3":" two third","1/4":" one quarter ","3/4":" three quarter ","1/5":" one fifth ","2/5":" two fifths ","3/5":" three fifths ","4/5":" four fifths ","1/6":" one sixth ","5/6":" five sixths ","1/8":" one eight ","3/8":" three eights ","5/8":" five eights ","7/8":" seven eights ","1/9":" one ninth ","2/9":" two ninths ","4/9":" four ninths ","5/9":" five ninths ","7/9":" seven ninths ","8/9":" eight ninths "}[ti(a.above)+"/"+ti(a.below)];e?d=e:d+=o+" over "+p}else d+=' the fraction <break time="150ms"/>'+o+', over <break time="150ms"/>'+p+'.<break time="150ms"/> End fraction.<break time="150ms"/>';break;case"surd":if(h=ai("math",a.body,i),a.hasEmptyBranch("above"))d+=ei(a.body)?" the square root of "+h+" , ":' the square root of <break time="200ms"/>'+h+'. <break time="200ms"/> End square root';else{let e=ai("math",a.above,i);e=e.trim();const t=e.replace(/<mark([^/]*)\/>/g,"");d+="3"===t?' the cube root of <break time="200ms"/>'+h+'. <break time="200ms"/> End cube root':"n"===t?' the nth root of <break time="200ms"/>'+h+'. <break time="200ms"/> End root':' the root with index: <break time="200ms"/>'+e+', of <break time="200ms"/>'+h+'. <break time="200ms"/> End root'}break;case"leftright":{const e=a;d+=null!==(r=e.leftDelim?Qa[e.leftDelim]:void 0)&&void 0!==r?r:e.leftDelim,d+=ai("math",a.body,i),d+=null!==(n=e.rightDelim?Qa[e.rightDelim]:void 0)&&void 0!==n?n:e.rightDelim}break;case"rule":case"overunder":case"overlap":break;case"placeholder":d+="placeholder ";break;case"delim":case"sizeddelim":case"mord":case"minner":case"mbin":case"mrel":case"mpunct":case"mopen":case"mclose":{const{command:t}=a;if("\\mathbin"===t||"\\mathrel"===t||"\\mathopen"===t||"\\mathclose"===t||"\\mathpunct"===t||"\\mathord"===t||"\\mathinner"===t){d=ai(e,a.body,i);break}let o=a.isDigit()?a.asDigit():a.value,r=a.command;if("delim"!==a.type&&"sizeddelim"!==a.type||(r=a.value,o=r),"text"===e)d+=o;else{if("mbin"===a.type&&(d+='<break time="150ms"/>'),o){const e=Qa[o]||(r?Qa[r.trim()]:"");if(e)d+=" "+e;else{const e=r?function(e){let t="";return e.startsWith("\\")&&(t=" "+e.replace("\\","")+" "),t}(r.trim()):"";d+=e||(u=o,i.textToSpeechMarkup?/[a-z]/.test(u)?` <say-as interpret-as="character">${u}</say-as>`:/[A-Z]/.test(u)?`capital <say-as interpret-as="character">${u.toLowerCase()}</say-as>`:u:/[a-z]/.test(u)?" '"+u.toUpperCase()+"'":/[A-Z]/.test(u)?" 'capital "+u.toUpperCase()+"'":u)}}else d+=ai("math",a.body,i);"mbin"===a.type&&(d+='<break time="150ms"/>')}break}case"mop":if("\u200b"!==a.value){const e=a.command;if("\\sum"===e)if(a.hasEmptyBranch("superscript")||a.hasEmptyBranch("subscript"))if(a.hasEmptyBranch("subscript"))d+=" the summation of";else{let e=ai("math",a.subscript,i);e=e.trim(),d+=' the summation from <break time="200ms"/>'+e+'<break time="200ms"/> of <break time="150ms"/>',m=!0}else{let e=ai("math",a.superscript,i);e=e.trim();let t=ai("math",a.subscript,i);t=t.trim(),d+=' the summation from <break time="200ms"/>'+t+'<break time="200ms"/> to  <break time="200ms"/>'+e+'<break time="200ms"/> of <break time="150ms"/>',m=!0}else if("\\prod"===e)if(a.hasEmptyBranch("superscript")||a.hasEmptyBranch("subscript"))if(a.hasEmptyBranch("subscript"))d+=" the product  of ";else{let e=ai("math",a.subscript,i);e=e.trim(),d+=' the product from <break time="200ms"/>'+e+'<break time="200ms"/> of <break time="150ms"/>',m=!0}else{let e=ai("math",a.superscript,i);e=e.trim();let t=ai("math",a.subscript,i);t=t.trim(),d+=' the product from <break time="200ms"/>'+t+'<break time="200ms"/> to <break time="200ms"/>'+e+'<break time="200ms"/> of <break time="150ms"/>',m=!0}else if("\\int"===e)if(a.hasEmptyBranch("superscript")||a.hasEmptyBranch("subscript"))d+=' the integral of <break time="200ms"/> ';else{let e=ai("math",a.superscript,i);e=e.trim();let t=ai("math",a.subscript,i);t=t.trim(),d+=' the integral from <break time="200ms"/>'+l(t)+'<break time="200ms"/> to <break time="200ms"/>'+l(e)+' <break time="200ms"/> of ',m=!0}else"string"==typeof a.value?d+=(null!==(s=Qa[a.value])&&void 0!==s?s:a.command?Qa[a.command]:void 0)||" "+a.value:a.command&&("\\mathop"===a.command?d+=ai("math",a.body,i):"\\operatorname"===a.command?d+=(c=a.body)?c.map((e=>e.value)).join(""):"":d+=a.command.startsWith("\\")?" "+a.command.slice(1):" "+a.command)}break;case"enclose":h=ai("math",a.body,i),d+=" crossed out "+h+". End crossed out."}if(!m&&!a.hasEmptyBranch("superscript")){let o=ai(e,a.superscript,i);o=o.trim();const r=o.replace(/<[^>]*>/g,"");if(ei(a.superscript)){if("math"===e){const e=function(e){if(t(e))for(const t of e)if("first"!==t.type&&t.id)return t.id.toString();return""}(a.superscript);e&&(d+='<mark name="'+e+'"/>')}"\u2032"===r?d+=" prime ":"2"===r?d+=" squared ":"3"===r?d+=" cubed ":Number.isNaN(Number.parseInt(r))?d+=" to the "+o+"; ":d+=' to the <say-as interpret-as="ordinal">'+r+"</say-as> power; "}else Number.isNaN(Number.parseInt(r))?d+=" raised to the "+o+"; ":d+=' raised to the <say-as interpret-as="ordinal">'+r+"</say-as> power; "}if(!m&&!a.hasEmptyBranch("subscript")){let e=ai("math",a.subscript,i);e=e.trim(),d+=ei(a.subscript)?" sub "+e:" subscript "+e+". End subscript. "}}var c,u;return d}function ii(e,t){var a;const i={...t,textToSpeechRulesOptions:{...t.textToSpeechRulesOptions}};if("sre"===i.textToSpeechRules&&"sre"in globalThis){const t=Xa(e,i);return t?(i.textToSpeechMarkup&&(i.textToSpeechRulesOptions=null!==(a=i.textToSpeechRulesOptions)&&void 0!==a?a:{},i.textToSpeechRulesOptions.markup=i.textToSpeechMarkup,"ssml"===i.textToSpeechRulesOptions.markup&&(i.textToSpeechRulesOptions.markup="ssml_step"),i.textToSpeechRulesOptions.rate=i.speechEngineRate),i.textToSpeechRulesOptions&&globalThis.sre.System.getInstance().setupEngine(i.textToSpeechRulesOptions),globalThis.sre.System.getInstance().toSpeech(t)):""}let o=ai("math",e,i);if("ssml"===i.textToSpeechMarkup){let e="";i.speechEngineRate&&(e='<prosody rate="'+i.speechEngineRate+'">'),o='<?xml version="1.0"?><speak version="1.1" xmlns="http://www.w3.org/2001/10/synthesis" xml:lang="en-US"><amazon:auto-breaths>'+e+"<p><s>"+o+"</s></p>"+(e?"</prosody>":"")+"</amazon:auto-breaths></speak>"}else o="mac"===i.textToSpeechMarkup&&"macos"===n()?o.replace(/<mark([^/]*)\/>/g,"").replace(/<emphasis>/g,"[[emph+]]").replace(/<\/emphasis>/g,"").replace(/<break time="(\d*)ms"\/>/g,"[[slc $1]]").replace(/<say-as[^>]*>/g,"").replace(/<\/say-as>/g,""):o.replace(/<[^>]*>/g,"").replace(/\s{2,}/g," ");return o}function oi(e,t,a,i){const o=t.split(" ");for(const t of o){const o=t.match(/(.*):(.*)/);if(o){const t=null!=i?i:{};"active"===o[2]?t.passive=!1:t[o[2]]=!0,e.addEventListener(o[1],a,t)}else e.addEventListener(t,a,i)}}function ri(e,t,a,i){const o=t.split(" ");for(const t of o){const o=t.match(/(.*):(.*)/);if(o){const t=null!=i?i:{};"active"===o[2]?t.passive=!1:t[o[2]]=!0,e.removeEventListener(o[1],a,t)}else e.removeEventListener(t,a,i)}}function ni(e){var t;i();let a=document.getElementById(e);return a?a.dataset.refcount=Number(Number.parseInt(null!==(t=a.getAttribute("data-refcount"))&&void 0!==t?t:"0")+1).toString():(a=document.createElement("div"),a.setAttribute("aria-hidden","true"),a.dataset.refcount="1",a.id=e,document.body.append(a)),a}function si(e){var t;if(!e)return;const a=Number.parseInt(null!==(t=e.getAttribute("data-refcount"))&&void 0!==t?t:"0");a<=1?e.remove():e.dataset.refcount=Number(a-1).toString()}function li(e){var t;return(null===(t=e.element)||void 0===t?void 0:t.mathfield)===e}function di(e){const t=function(e){var t,a;return null!==(a=null!==(t=e.querySelector(".ML__caret"))&&void 0!==t?t:e.querySelector(".ML__text-caret"))&&void 0!==a?a:e.querySelector(".ML__latex-caret")}(e);if(!t)return null;const a=t.getBoundingClientRect();return{x:a.right,y:a.bottom,height:a.height}}function ci(e){var t;if(!e.parent)return"root";let a=null!==(t=e.parent.id)&&void 0!==t?t:"";return a+="string"==typeof e.treeBranch?"-"+e.treeBranch:`-${e.treeBranch[0]}/${e.treeBranch[0]}`,a}function ui(e,t){if(!t)return null;const a=e.field.getBoundingClientRect(),i=t.right-t.left,o=t.bottom-t.top,r=Math.ceil(t.left-a.left+e.field.scrollLeft),n=Math.ceil(t.top-a.top);return{left:r,right:r+i,top:n,bottom:n+o}}function pi(e){const t=e.getBoundingClientRect(),a=parseInt(getComputedStyle(e).marginRight),i={top:t.top-1,bottom:t.bottom,left:t.left,right:t.right-1+a};if(0===e.children.length||"SVG"===e.tagName.toUpperCase())return i;for(const t of e.children)if(1===t.nodeType&&"atomId"in t.dataset&&!t.classList.contains("pstrut")){const e=pi(t);i.left=Math.min(i.left,e.left),i.right=Math.max(i.right,e.right),i.top=Math.min(i.top,e.top),i.bottom=Math.max(i.bottom,e.bottom)}return i}function hi(e,t){var a,i;if(!t.id)return null;let o=null!==(i=null===(a=e.atomBoundsCache)||void 0===a?void 0:a.get(t.id))&&void 0!==i?i:null;if(null!==o)return o;const r=e.field.querySelector(`[data-atom-id="${t.id}"]`);return o=r?pi(r):null,e.atomBoundsCache&&(o?e.atomBoundsCache.set(t.id,o):e.atomBoundsCache.delete(t.id)),null!=o?o:null}function mi(e,t){return e.model.selection.ranges.reduce(((a,i)=>a.concat(...function(e,t,a){const i=new Map;for(const o of e.model.getAtoms(t,{includeChildren:!0})){if((null==a?void 0:a.excludeAtomsWithBackground)&&o.style.backgroundColor)break;const t=ui(e,hi(e,o));if(t){const e=ci(o);if(i.has(e)){const a=i.get(e);i.set(e,{left:Math.min(a.left,t.left),right:Math.max(a.right,t.right),top:Math.min(a.top,t.top),bottom:Math.max(a.bottom,t.bottom)})}else i.set(e,t)}}return[...i.values()]}(e,i,t))),[])}function fi(e,t){return"*"===e||"none"===t||("same-origin"===t?!globalThis.origin||e===globalThis.origin:"function"==typeof t&&t(e))}function yi(e){let t=0,a=0;const i=e.offsetWidth,o=e.offsetHeight;for(;e instanceof HTMLElement;)t+=e.offsetTop,a+=e.offsetLeft,e=e.offsetParent;return new DOMRect(a,t,i,o)}const bi={main:["Main-Regular","ML__cmr"],"main-italic":["Main-Italic","ML__cmr ML__it"],"main-bold":["Main-Bold","ML__cmr ML__bold"],"main-bolditalic":["Main-BoldItalic","ML__cmr ML__bold ML__it"],normal:["Main-Regular","ML__cmr"],"normal-bold":["Main-Bold","ML__mathbf"],"normal-italic":["Math-Italic","ML__mathit"],"normal-bolditalic":["Math-BoldItalic","ML__mathbfit"],ams:["AMS-Regular","ML__ams"],"ams-bold":["AMS-Regular","ML__ams"],"ams-italic":["AMS-Regular","ML__ams"],"ams-bolditalic":["AMS-Regular","ML__ams"],"sans-serif":["SansSerif-Regular","ML__sans"],"sans-serif-bold":["SansSerif-Regular","ML__sans ML__bold"],"sans-serif-italic":["SansSerif-Regular","ML__sans"],"sans-serif-bolditalic":["SansSerif-Regular","ML__sans"],calligraphic:["Caligraphic-Regular","ML__cal"],"calligraphic-bold":["Caligraphic-Regular","ML__cal ML__bold"],"calligraphic-italic":["Caligraphic-Regular","ML__cal ML__it"],"calligraphic-bolditalic":["Caligraphic-Regular","ML__cal ML__bold ML__it"],script:["Script-Regular","ML__script"],"script-bold":["Script-Regular","ML__script ML__bold"],"script-italic":["Script-Regular","ML__script ML__it"],"script-bolditalic":["Script-Regular","ML__script ML__bold ML__it"],fraktur:["Fraktur-Regular","ML__frak"],"fraktur-bold":["Fraktur-Regular","ML__frak"],"fraktur-italic":["Fraktur-Regular","ML__frak"],"fraktur-bolditalic":["Fraktur-Regular","ML__frak"],monospace:["Typewriter-Regular","ML__tt"],"monospace-bold":["Typewriter-Regular","ML__tt ML__bold"],"monospace-italic":["Typewriter-Regular","ML__tt ML__it"],"monospace-bolditalic":["Typewriter-Regular","ML__tt ML__bold ML__it"],"double-struck":["AMS-Regular","ML__bb"],"double-struck-bold":["AMS-Regular","ML__bb"],"double-struck-italic":["AMS-Regular","ML__bb"],"double-struck-bolditalic":["AMS-Regular","ML__bb"]},gi={"double-struck":/^[A-Z ]$/,script:/^[A-Z ]$/,calligraphic:/^[\dA-Z ]$/,fraktur:/^[\dA-Za-z ]$|^[!"#$%&'()*+,\-./:;=?[]^\u2019\u2018]$/,monospace:/^[\dA-Za-z ]$|^[!"&'()*+,\-./:;=?@[\]^_~\u0131\u0237\u0393\u0394\u0398\u039B\u039E\u03A0\u03A3\u03A5\u03A8\u03A9]$/,"sans-serif":/^[\dA-Za-z ]$|^[!"&'()*+,\-./:;=?@[\]^_~\u0131\u0237\u0393\u0394\u0398\u039B\u039E\u03A0\u03A3\u03A5\u03A8\u03A9]$/},vi=/^[\u03B1-\u03C9]|\u03D1|\u03D5|\u03D6|\u03F1|\u03F5]$/,ki=[/^[a-z]$/,/^[A-Z]$/,vi,/^[\u0393|\u0394\u0398\u039B\u039E\u03A0\u03A3\u03A5\u03A6\u03A8\u03A9]$/],xi={iso:["it","it","it","it"],tex:["it","it","it","up"],french:["it","up","up","up"],upright:["up","up","up","up"]};function wi(e){if(!e)return"";const{style:t}=e;if(void 0===t.variant)return"";let a=t.variant;return t.variantStyle&&"up"!==t.variantStyle&&(a+="-"+t.variantStyle),a}function _i(e){return[it(e.map((e=>e[0]))),e.map((e=>e[1])).some((e=>!0===e))]}new class extends Be{constructor(){super("math")}createAtom(e,t,a){var i,o,r,n,s;const l=t.getDefinition(e,"math");if(null===l)return new dt("mord",t,{mode:"math",command:e,value:e,style:a});if("symbol"===l.definitionType){const n=new dt(null!==(i=l.type)&&void 0!==i?i:"mord",t,{mode:"math",command:null!==(o=l.command)&&void 0!==o?o:e,value:String.fromCodePoint(l.codepoint),style:a});return null!==(r=l.isFunction)&&void 0!==r&&r&&(n.isFunction=!0),e.startsWith("\\")&&(n.verbatimLatex=e),n}const d=new dt("mord",t,{mode:"math",command:null!==(n=l.command)&&void 0!==n?n:e,value:e,style:a});return null!==(s=l.isFunction)&&void 0!==s&&s&&(d.isFunction=!0),e.startsWith("\\")&&(d.verbatimLatex=e),d}serialize(e,t){const{parent:a}=e[0],i=null==a?void 0:a.computedStyle.fontSize;return it(Ke(e,"fontSize").map((e=>{const o=function(e,t){const{parent:a}=e[0],i=null==a?void 0:a.computedStyle.backgroundColor;return it(Ke(e,"backgroundColor").map((e=>{var o,r;let n=function(e,t){const{parent:a}=e[0],i=null==a?void 0:a.computedStyle.color;return it(Ke(e,"color").map((e=>{var o,r;const n=function(e,t){var a;const{parent:i}=e[0],o=wi(i),r=null!==(a=null==i?void 0:i.mode)&&void 0!==a?a:"math";return it(Ke(e,"variant").map((e=>{const a=wi(e[0]);if(e.every((e=>{const t=e.context.getDefinition(e.command,r);return!(!t||"function"===t.definitionType||!t.variant)&&wi(e)===a})))return it(e.map((e=>dt.serialize(e,t))));let i="";return a&&a!==o&&(i={calligraphic:"\\mathcal{",fraktur:"\\mathfrak{","double-struck":"\\mathbb{",script:"\\mathscr{",monospace:"\\mathtt{","sans-serif":"\\mathsf{",normal:"\\mathrm{","normal-italic":"\\mathnormal{","normal-bold":"\\mathbf{","normal-bolditalic":"\\mathbfit{",ams:"","ams-italic":"\\mathit{","ams-bold":"\\mathbf{","ams-bolditalic":"\\mathbfit{",main:"","main-italic":"\\mathit{","main-bold":"\\mathbf{","main-bolditalic":"\\mathbfit{"}[a]),i?i+it(e.map((e=>dt.serialize(e,t))))+"}":it(e.map((e=>dt.serialize(e,t))))})))}(e,t),s=e[0].computedStyle;return null!==(o=t.skipStyles)&&void 0!==o&&o||!s.color||a&&i===s.color?n:"\\textcolor{"+(null!==(r=s.verbatimColor)&&void 0!==r?r:s.color)+"}{"+n+"}"})))}(e,t);const s=e[0].computedStyle;return null!==(o=t.skipStyles)&&void 0!==o&&o||!n.trim()||!s.backgroundColor||a&&i===s.backgroundColor||!(e.length>0)&&e[0]instanceof Vt||(n=`\\ensuremath{${n}}`,n=`\\colorbox{${null!==(r=s.verbatimBackgroundColor)&&void 0!==r?r:s.backgroundColor}}{${n}}`),n})))}(e,t),r=e[0].computedStyle.fontSize;return!r||a&&i===r?o:"\\"+["","tiny","scriptsize","footnotesize","small","normalsize","large","Large","LARGE","huge","Huge"][r]+" "+o})))}applyStyle(e,t){if(void 0===t.variant)return"";const a="auto"!==t.letterShapeStyle&&t.letterShapeStyle?t.letterShapeStyle:"tex";let{variant:i}=t,{variantStyle:o}=t;"normal"===i&&!o&&/[\u00A3\u0131\u0237]/.test(e.value)&&(i="main",o="italic"),"normal"!==i||o||1!==e.value.length||ki.forEach(((t,i)=>{t.test(e.value)&&"it"===xi[a][i]&&(o="italic")})),"up"===o&&(o=void 0);const r=o?i+"-"+o:i,[n,s]=bi[r];return gi[i]&&!gi[i].test(e.value)?(e.value=function(e,t,a){if(!/[A-Za-z\d]/.test(e))return e;if(!t&&!a)return e;const i=e.codePointAt(0);if(void 0===i)return e;for(const e of q)if((!t||e.variant===t)&&(!a||e.style===a)&&i>=e.offset&&i<e.offset+e.len){const t=e.start+i-e.offset;return String.fromCodePoint(E[t]||t)}return e}(e.value,i,o),null):(vi.test(e.value)&&(e.classes+=" lcGreek"),s&&(e.classes+=" "+s),n)}};const Si={roman:"","sans-serif":"ML__sans",monospace:"ML__tt"};function Mi(e){let t=0;for(let a=0;a<e.length;a++)t=Math.imul(31,t)+e.charCodeAt(a)|0;return Math.abs(t)}function Li(e,t,a){var o,r;if(i(),!t)return null;let n=null!==(o=null==e?void 0:e.getRootNode())&&void 0!==o?o:null===document||void 0===document?void 0:document.head;if(!n)return null;n===document&&(n=document.head);const s=n.querySelector(`style[data-id="${a}"]`);if(s){const e=Number.parseFloat(null!==(r=s.getAttribute("data-refcount"))&&void 0!==r?r:"0");s.dataset.refcount=Number(e+1).toString()}else{const e=document.createElement("style");e.dataset.id=a,e.dataset.refcount="1",e.append(document.createTextNode(t)),n.appendChild(e)}return{release:()=>{var e;const t=document.head.querySelector(`style[data-id="${a}"]`);if(t){const a=Number.parseFloat(null!==(e=t.getAttribute("data-refcount"))&&void 0!==e?e:"0");1===a?t.remove():t.dataset.refcount=Number(a-1).toString()}}}}function Ci(e){const t=e.split("+"),a={shift:!1,alt:!1,cmd:!1,win:!1,meta:!1,ctrl:!1,key:t.pop()};return t.includes("shift")&&(a.shift=!0),t.includes("alt")&&(a.alt=!0),t.includes("ctrl")&&(a.ctrl=!0),t.includes("cmd")&&(a.cmd=!0),t.includes("win")&&(a.win=!0),t.includes("meta")&&(a.meta=!0),a}function Ai(e){let t="";return e.shift&&(t+="shift+"),e.alt&&(t+="alt+"),e.ctrl&&(t+="ctrl+"),e.cmd&&(t+="cmd+"),e.win&&(t+="win+"),e.meta&&(t+="meta+"),t+e.key}new class extends Be{constructor(){super("text")}createAtom(e,t,a){const i=t.getDefinition(e,"text");return i&&"symbol"===i.definitionType?new $t(e,String.fromCodePoint(i.codepoint),null!=a?a:{},t):null}serialize(e,t){var a;let[i,o]=function(e,t){return _i(Ke(e,"backgroundColor").map((e=>{var a,i;const[o,r]=function(e,t){var a;if(!e||0===e.length)return["",!1];const i=null===(a=e[0].parent)||void 0===a?void 0:a.style.color;return _i(Ke(e,"color").map((e=>{var a,o;const[r,n]=function(e,t){return function(e,t){return _i(Ke(e,"fontFamily").map((e=>{var a,i;const[o,r]=function(e,t){return _i(Ke(e,"fontSize").map((e=>{var a,i;const[o,r]=function(e,t){return _i(Ke(e,"fontSeries").map((e=>{const[a,i]=function(e,t){return _i(Ke(e,"fontShape").map((e=>{const[a,i]=function(e,t){return[it(e.map((e=>dt.serialize(e,t)))),!0]}(e,t),{fontShape:o}=e[0].style;return"it"===o?["\\textit{"+a+"}",!1]:"sl"===o?["\\textsl{"+a+"}",!1]:"sc"===o?["\\textsc{"+a+"}",!1]:"n"===o?["\\textup{"+a+"}",!1]:o?[`{\\fontshape{${e[0].style.fontShape}}${a}`,!1]:[a,i]})))}(e,t),{fontSeries:o}=e[0].style;return"b"===o?[`\\textbf{${a}}`,!1]:"l"===o?[`\\textlf{${a}}`,!1]:"m"===o?[`\\textmd{${a}}`,!1]:o?[`\\fontseries{${o}}${a}`,!1]:[a,i]})))}(e,t),n=null!==(i=["","tiny","scriptsize","footnotesize","small","normalsize","large","Large","LARGE","huge","Huge"][null!==(a=e[0].style.fontSize)&&void 0!==a?a:""])&&void 0!==i?i:"";return n?[`{\\${n} ${o}}`,r]:[o,r]})))}(e,t),n=null!==(i={roman:"textrm",monospace:"texttt","sans-serif":"textsf"}[null!==(a=e[0].style.fontFamily)&&void 0!==a?a:""])&&void 0!==i?i:"";return n?[`\\${n}{${o}}`,!1]:e[0].style.fontFamily?[`\\fontfamily{${e[0].style.fontFamily}}${o}`,r]:[o,r]})))}(e,t)}(e,t);return null!==(a=t.skipStyles)&&void 0!==a&&a||!e[0].style.color||"none"===e[0].style.color||i===e[0].style.color?[r,n]:[`\\textcolor{${null!==(o=e[0].style.verbatimColor)&&void 0!==o?o:e[0].style.color}}{${r}}`,!1]})))}(e,t),n=e[0].computedStyle;return null!==(a=t.skipStyles)&&void 0!==a&&a||!n.backgroundColor||"none"===n.backgroundColor?[o,r]:[`\\colorbox{${null!==(i=n.verbatimBackgroundColor)&&void 0!==i?i:n.backgroundColor}}{${o}}`,!1]})))}(e,t);return!0===(null!==(a=t.skipModeCommand)&&void 0!==a&&a)&&(o=!1),o&&(i=`\\text{${i}}`),i}applyStyle(e,t){var a,i,o,r,n,s;const{fontFamily:l}=t;if(Si[l]?e.classes+=null!==(a=" "+Si[l])&&void 0!==a?a:"":l&&e.setStyle("font-family",l),t.fontShape&&(e.classes+=" ",e.classes+=null!==(i={it:"ML__it",sl:"ML__shape_sl",sc:"ML__shape_sc",ol:"ML__shape_ol"}[t.fontShape])&&void 0!==i?i:""),t.fontSeries){const a=t.fontSeries.match(/(.?[lbm])?(.?[cx])?/);a&&(e.classes+=" ",e.classes+=null!==(r={ul:"ML__series_ul",el:"ML__series_el",l:"ML__series_l",sl:"ML__series_sl",m:"",sb:"ML__series_sb",b:"ML__bold",eb:"ML__series_eb",ub:"ML__series_ub"}[null!==(o=a[1])&&void 0!==o?o:""])&&void 0!==r?r:"",e.classes+=" ",e.classes+=null!==(s={uc:"ML__series_uc",ec:"ML__series_ec",c:"ML__series_c",sc:"ML__series_sc",n:"",sx:"ML__series_sx",x:"ML__series_x",ex:"ML__series_ex",ux:"ML__series_ux"}[null!==(n=a[2])&&void 0!==n?n:""])&&void 0!==s?s:"")}return"Main-Regular"}},new class extends Be{constructor(){super("latex")}createAtom(e,t,a){return new aa(e,t)}serialize(e,t){return e.filter((e=>e instanceof aa&&!e.isSuggestion)).map((e=>e.value)).join("")}applyStyle(){return null}};const Ti="apple"===Bi()?{id:"apple.en-intl",displayName:"English (international)",virtualLayout:"qwerty",platform:"apple",locale:"en",score:0,mapping:{KeyA:["a","A","\xe5","\xc5"],KeyB:["b","B","\u222b","\u0131"],KeyC:["c","C","\xe7","\xc7"],KeyD:["d","D","\u2202","\xce"],KeyE:["e","E","\xb4","\xb4"],KeyF:["f","F","\u0192","\xcf"],KeyG:["g","G","\xa9","\u02dd"],KeyH:["h","H","\u02d9","\xd3"],KeyI:["i","I","\u02c6","\u02c6"],KeyJ:["j","J","\u2206","\xd4"],KeyK:["k","K","\u02da","\uf8ff"],KeyL:["l","L","\xac","\xd2"],KeyM:["m","M","\xb5","\xc2"],KeyN:["n","N","\u02dc","\u02dc"],KeyO:["o","O","\xf8","\xd8"],KeyP:["p","P","\u03c0","\u220f"],KeyQ:["q","Q","\u0153","\u0152"],KeyR:["r","R","\xae","\u2030"],KeyS:["s","S","\xdf","\xcd"],KeyT:["t","T","\u2020","\u02c7"],KeyU:["u","U","\xa8","\xa8"],KeyV:["v","V","\u221a","\u25ca"],KeyW:["w","W","\u2211","\u201e"],KeyX:["x","X","\u2248","\u02db"],KeyY:["y","Y","\xa5","\xc1"],KeyZ:["z","Z","\u03a9","\xb8"],Digit1:["1","!","\xa1","\u2044"],Digit2:["2","@","\u2122","\u20ac"],Digit3:["3","#","\xa3","\u2039"],Digit4:["4","$","\xa2","\u203a"],Digit5:["5","%","\u221e","\ufb01"],Digit6:["6","^","\xa7","\ufb02"],Digit7:["7","&","\xb6","\u2021"],Digit8:["8","*","\u2022","\xb0"],Digit9:["9","(","\xaa","\xb7"],Digit0:["0",")","\xba","\u201a"],Space:[" "," "," "," "],Minus:["-","_","\u2013","\u2014"],Equal:["=","+","\u2260","\xb1"],BracketLeft:["[","{","\u201c","\u201d"],BracketRight:["]","}","\u2018","\u2019"],Backslash:["\\","|","\xab","\xbb"],Semicolon:[";",":","\u2026","\xda"],Quote:["'",'"',"\xe6","\xc6"],Backquote:["`","\u02dc","`","`"],Comma:[",","<","\u2264","\xaf"],Period:[".",">","\u2265","\u02d8"],Slash:["/","?","\xf7","\xbf"],NumpadDivide:["/","/","/","/"],NumpadMultiply:["*","*","*","*"],NumpadSubtract:["-","-","-","-"],NumpadAdd:["+","+","+","+"],Numpad1:["1","1","1","1"],Numpad2:["2","2","2","2"],Numpad3:["3","3","3","3"],Numpad4:["4","4","4","4"],Numpad5:["5","5","5","5"],Numpad6:["6","6","6","6"],Numpad7:["7","7","7","7"],Numpad8:["8","8","8","8"],Numpad9:["9","9","9","9"],Numpad0:["0","0","0","0"],NumpadDecimal:[".",".",".","."],IntlBackslash:["\xa7","\xb1","\xa7","\xb1"],NumpadEqual:["=","=","=","="],AudioVolumeUp:["","=","","="]}}:"windows"===Bi()?{id:"windows.en-intl",displayName:"English (international)",platform:"windows",virtualLayout:"qwerty",locale:"en",score:0,mapping:{KeyA:["a","A","\xe1","\xc1"],KeyB:["b","B","",""],KeyC:["c","C","\xa9","\xa2"],KeyD:["d","D","\xf0","\xd0"],KeyE:["e","E","\xe9","\xc9"],KeyF:["f","F","",""],KeyG:["g","G","",""],KeyH:["h","H","",""],KeyI:["i","I","\xed","\xcd"],KeyJ:["j","J","",""],KeyK:["k","K","",""],KeyL:["l","L","\xf8","\xd8"],KeyM:["m","M","\xb5",""],KeyN:["n","N","\xf1","\xd1"],KeyO:["o","O","\xf3","\xd3"],KeyP:["p","P","\xf6","\xd6"],KeyQ:["q","Q","\xe4","\xc4"],KeyR:["r","R","\xae",""],KeyS:["s","S","\xdf","\xa7"],KeyT:["t","T","\xfe","\xde"],KeyU:["u","U","\xfa","\xda"],KeyV:["v","V","",""],KeyW:["w","W","\xe5","\xc5"],KeyX:["x","X","",""],KeyY:["y","Y","\xfc","\xdc"],KeyZ:["z","Z","\xe6","\xc6"],Digit1:["1","!","\xa1","\xb9"],Digit2:["2","@","\xb2",""],Digit3:["3","#","\xb3",""],Digit4:["4","$","\xa4","\xa3"],Digit5:["5","%","\u20ac",""],Digit6:["6","^","\xbc",""],Digit7:["7","&","\xbd",""],Digit8:["8","*","\xbe",""],Digit9:["9","(","\u2018",""],Digit0:["0",")","\u2019",""],Space:[" "," ","",""],Minus:["-","_","\xa5",""],Equal:["=","+","\xd7","\xf7"],BracketLeft:["[","{","\xab",""],BracketRight:["]","}","\xbb",""],Backslash:["\\","|","\xac","\xa6"],Semicolon:[";",":","\xb6","\xb0"],Quote:["'",'"',"\xb4","\xa8"],Backquote:["`","~","",""],Comma:[",","<","\xe7","\xc7"],Period:[".",">","",""],Slash:["/","?","\xbf",""],NumpadDivide:["/","/","",""],NumpadMultiply:["*","*","",""],NumpadSubtract:["-","-","",""],NumpadAdd:["+","+","",""],IntlBackslash:["\\","|","",""]}}:{id:"linux.en",displayName:"English",platform:"linux",virtualLayout:"qwerty",locale:"en",score:0,mapping:{KeyA:["a","A","a","A"],KeyB:["b","B","b","B"],KeyC:["c","C","c","C"],KeyD:["d","D","d","D"],KeyE:["e","E","e","E"],KeyF:["f","F","f","F"],KeyG:["g","G","g","G"],KeyH:["h","H","h","H"],KeyI:["i","I","i","I"],KeyJ:["j","J","j","J"],KeyK:["k","K","k","K"],KeyL:["l","L","l","L"],KeyM:["m","M","m","M"],KeyN:["n","N","n","N"],KeyO:["o","O","o","O"],KeyP:["p","P","p","P"],KeyQ:["q","Q","q","Q"],KeyR:["r","R","r","R"],KeyS:["s","S","s","S"],KeyT:["t","T","t","T"],KeyU:["u","U","u","U"],KeyV:["v","V","v","V"],KeyW:["w","W","w","W"],KeyX:["x","X","x","X"],KeyY:["y","Y","y","Y"],KeyZ:["z","Z","z","Z"],Digit1:["1","!","1","!"],Digit2:["2","@","2","@"],Digit3:["3","#","3","#"],Digit4:["4","$","4","$"],Digit5:["5","%","5","%"],Digit6:["6","^","6","^"],Digit7:["7","&","7","&"],Digit8:["8","*","8","*"],Digit9:["9","(","9","("],Digit0:["0",")","0",")"],Space:[" "," "," "," "],Minus:["-","_","-","_"],Equal:["=","+","=","+"],BracketLeft:["[","{","[","{"],BracketRight:["]","}","]","}"],Backslash:["\\","|","\\","|"],Semicolon:[";",":",";",":"],Quote:["'",'"',"'",'"'],Backquote:["`","~","`","~"],Comma:[",","<",",","<"],Period:[".",">",".",">"],Slash:["/","?","/","?"],NumpadDivide:["/","/","/","/"],NumpadMultiply:["*","*","*","*"],NumpadSubtract:["-","-","-","-"],NumpadAdd:["+","+","+","+"],Numpad1:["1","1","1","1"],Numpad2:["2","2","2","2"],Numpad3:["3","3","3","3"],Numpad4:["4","4","4","4"],Numpad5:["5","5","5","5"],Numpad6:["6","6","6","6"],Numpad7:["7","7","7","7"],Numpad8:["8","8","8","8"],Numpad9:["9","9","9","9"],Numpad0:["0","0","0","0"],NumpadDecimal:["",".","","."],IntlBackslash:["<",">","|","\xa6"],NumpadEqual:["=","=","=","="],NumpadComma:[".",".",".","."],NumpadParenLeft:["(","(","(","("],NumpadParenRight:[")",")",")",")"]}},Di={enter:"[Enter]",escape:"[Escape]",backspace:"[Backspace]",tab:"[Tab]",space:"[Space]",pausebreak:"[Pause]",insert:"[Insert]",home:"[Home]",pageup:"[PageUp]",delete:"[Delete]",end:"[End]",pagedown:"[PageDown]",right:"[ArrowRight]",left:"[ArrowLeft]",down:"[ArrowDown]",up:"[ArrowUp]",numpad0:"[Numpad0]",numpad1:"[Numpad1]",numpad2:"[Numpad2]",numpad3:"[Numpad3]",numpad4:"[Numpad4]",numpad5:"[Numpad5]",numpad6:"[Numpad6]",numpad7:"[Numpad7]",numpad8:"[Numpad8]",numpad9:"[Numpad9]",numpad_divide:"[NumpadDivide]",numpad_multiply:"[NumpadMultiply]",numpad_subtract:"[NumpadSubtract]",numpad_add:"[NumpadAdd]",numpad_decimal:"[NumpadDecimal]",numpad_separator:"[NumpadComma]",capslock:"[Capslock]",f1:"[F1]",f2:"[F2]",f3:"[F3]",f4:"[F4]",f5:"[F5]",f6:"[F6]",f7:"[F7]",f8:"[F8]",f9:"[F9]",f10:"[F10]",f11:"[F11]",f12:"[F12]",f13:"[F13]",f14:"[F14]",f15:"[F15]",f16:"[F16]",f17:"[F17]",f18:"[F18]",f19:"[F19]"},zi=[];function Bi(){switch(n()){case"macos":case"ios":return"apple";case"windows":return"windows"}return"linux"}function Ki(e){e.platform&&e.platform!==Bi()||zi.push(e)}function Ei(){return zi[0]}Ki(Ti),Ki({id:"apple.french",locale:"fr",displayName:"French",platform:"apple",virtualLayout:"azerty",score:0,mapping:{KeyA:["q","Q","\u2021","\u03a9"],KeyB:["b","B","\xdf","\u222b"],KeyC:["c","C","\xa9","\xa2"],KeyD:["d","D","\u2202","\u2206"],KeyE:["e","E","\xea","\xca"],KeyF:["f","F","\u0192","\xb7"],KeyG:["g","G","\ufb01","\ufb02"],KeyH:["h","H","\xcc","\xce"],KeyI:["i","I","\xee","\xef"],KeyJ:["j","J","\xcf","\xcd"],KeyK:["k","K","\xc8","\xcb"],KeyL:["l","L","\xac","|"],KeyM:[",","?","\u221e","\xbf"],KeyN:["n","N","~","\u0131"],KeyO:["o","O","\u0153","\u0152"],KeyP:["p","P","\u03c0","\u220f"],KeyQ:["a","A","\xe6","\xc6"],KeyR:["r","R","\xae","\u201a"],KeyS:["s","S","\xd2","\u2211"],KeyT:["t","T","\u2020","\u2122"],KeyU:["u","U","\xba","\xaa"],KeyV:["v","V","\u25ca","\u221a"],KeyW:["z","Z","\xc2","\xc5"],KeyX:["x","X","\u2248","\u2044"],KeyY:["y","Y","\xda","\u0178"],KeyZ:["w","W","\u2039","\u203a"],Digit1:["&","1","\uf8ff","\xb4"],Digit2:["\xe9","2","\xeb","\u201e"],Digit3:['"',"3","\u201c","\u201d"],Digit4:["'","4","\u2018","\u2019"],Digit5:["(","5","{","["],Digit6:["\xa7","6","\xb6","\xe5"],Digit7:["\xe8","7","\xab","\xbb"],Digit8:["!","8","\xa1","\xdb"],Digit9:["\xe7","9","\xc7","\xc1"],Digit0:["\xe0","0","\xf8","\xd8"],Space:[" "," "," "," "],Minus:[")","\xb0","}","]"],Equal:["-","_","\u2014","\u2013"],BracketLeft:["^","\xa8","\xf4","\xd4"],BracketRight:["$","*","\u20ac","\xa5"],Backslash:["`","\xa3","@","#"],Semicolon:["m","M","\xb5","\xd3"],Quote:["\xf9","%","\xd9","\u2030"],Backquote:["<",">","\u2264","\u2265"],Comma:[";",".","\u2026","\u2022"],Period:[":","/","\xf7","\\"],Slash:["=","+","\u2260","\xb1"],NumpadDivide:["/","/","/","/"],NumpadMultiply:["*","*","*","*"],NumpadSubtract:["-","-","-","-"],NumpadAdd:["+","+","+","+"],NumpadDecimal:[",",".",",","."],IntlBackslash:["@","#","\u2022","\u0178"],NumpadEqual:["=","=","=","="]}}),Ki({id:"apple.spanish",locale:"es",displayName:"Spanish ISO",platform:"apple",virtualLayout:"qwerty",score:0,mapping:{KeyA:["a","A","\xe5","\xc5"],KeyB:["b","B","\xdf",""],KeyC:["c","C","\xa9"," "],KeyD:["d","D","\u2202","\u2206"],KeyE:["e","E","\u20ac","\u20ac"],KeyF:["f","F","\u0192","\ufb01"],KeyG:["g","G","\uf8ff","\ufb02"],KeyH:["h","H","\u2122"," "],KeyI:["i","I"," "," "],KeyJ:["j","J","\xb6","\xaf"],KeyK:["k","K","\xa7","\u02c7"],KeyL:["l","L"," ","\u02d8"],KeyM:["m","M","\xb5","\u02da"],KeyN:["n","N"," ","\u02d9"],KeyO:["o","O","\xf8","\xd8"],KeyP:["p","P","\u03c0","\u220f"],KeyQ:["q","Q","\u0153","\u0152"],KeyR:["r","R","\xae"," "],KeyS:["s","S","\u222b"," "],KeyT:["t","T","\u2020","\u2021"],KeyU:["u","U"," "," "],KeyV:["v","V","\u221a","\u25ca"],KeyW:["w","W","\xe6","\xc6"],KeyX:["x","X","\u2211","\u203a"],KeyY:["y","Y","\xa5"," "],KeyZ:["z","Z","\u03a9","\u2039"],Digit1:["1","!","|","\u0131"],Digit2:["2",'"',"@","\u02dd"],Digit3:["3","\xb7","#","\u2022"],Digit4:["4","$","\xa2","\xa3"],Digit5:["5","%","\u221e","\u2030"],Digit6:["6","&","\xac"," "],Digit7:["7","/","\xf7","\u2044"],Digit8:["8","(","\u201c","\u2018"],Digit9:["9",")","\u201d","\u2019"],Digit0:["0","=","\u2260","\u2248"],Space:[" "," "," "," "],Minus:["'","?","\xb4","\xb8"],Equal:["\xa1","\xbf","\u201a","\u02db"],BracketLeft:["`","^","[","\u02c6"],BracketRight:["+","*","]","\xb1"],Backslash:["\xe7","\xc7","}","\xbb"],Semicolon:["\xf1","\xd1","~","\u02dc"],Quote:["\xb4","\xa8","{","\xab"],Backquote:["<",">","\u2264","\u2265"],Comma:[",",";","\u201e",""],Period:[".",":","\u2026","\u2026"],Slash:["-","_","\u2013","\u2014"],NumpadDivide:["/","/","/","/"],NumpadMultiply:["*","*","*","*"],NumpadSubtract:["-","-","-","-"],NumpadAdd:["+","+","+","+"],Numpad1:["1","1","1","1"],Numpad2:["2","2","2","2"],Numpad3:["3","3","3","3"],Numpad4:["4","4","4","4"],Numpad5:["5","5","5","5"],Numpad6:["6","6","6","6"],Numpad7:["7","7","7","7"],Numpad8:["8","8","8","8"],Numpad9:["9","9","9","9"],Numpad0:["0","0","0","0"],NumpadDecimal:[",",",",",",","],IntlBackslash:["\xba","\xaa","\\","\xb0"]}}),Ki({id:"windows.spanish",locale:"es",displayName:"Spanish",platform:"windows",virtualLayout:"qwerty",score:0,mapping:{KeyA:["a","A","",""],KeyB:["b","B","",""],KeyC:["c","C","",""],KeyD:["d","D","",""],KeyE:["e","E","\u20ac",""],KeyF:["f","F","",""],KeyG:["g","G","",""],KeyH:["h","H","",""],KeyI:["i","I","",""],KeyJ:["j","J","",""],KeyK:["k","K","",""],KeyL:["l","L","",""],KeyM:["m","M","",""],KeyN:["n","N","",""],KeyO:["o","O","",""],KeyP:["p","P","",""],KeyQ:["q","Q","",""],KeyR:["r","R","",""],KeyS:["s","S","",""],KeyT:["t","T","",""],KeyU:["u","U","",""],KeyV:["v","V","",""],KeyW:["w","W","",""],KeyX:["x","X","",""],KeyY:["y","Y","",""],KeyZ:["z","Z","",""],Digit1:["1","!","|",""],Digit2:["2",'"',"@",""],Digit3:["3","\xb7","#",""],Digit4:["4","$","~",""],Digit5:["5","%","\u20ac",""],Digit6:["6","&","\xac",""],Digit7:["7","/","",""],Digit8:["8","(","",""],Digit9:["9",")","",""],Digit0:["0","=","",""],Space:[" "," ","",""],Minus:["'","?","",""],Equal:["\xa1","\xbf","",""],BracketLeft:["`","^","[",""],BracketRight:["+","*","]",""],Backslash:["\xe7","\xc7","}",""],Semicolon:["\xf1","\xd1","",""],Quote:["\xb4","\xa8","{",""],Backquote:["\xba","\xaa","\\",""],Comma:[",",";","",""],Period:[".",":","",""],Slash:["-","_","",""],NumpadDivide:["/","/","",""],NumpadMultiply:["*","*","",""],NumpadSubtract:["-","-","",""],NumpadAdd:["+","+","",""],IntlBackslash:["<",">","",""]}}),Ki({id:"linux.spanish",locale:"es",displayName:"Spanish",platform:"linux",virtualLayout:"qwerty",score:0,mapping:{KeyA:["a","A","\xe6","\xc6"],KeyB:["b","B","\u201d","\u2019"],KeyC:["c","C","\xa2","\xa9"],KeyD:["d","D","\xf0","\xd0"],KeyE:["e","E","\u20ac","\xa2"],KeyF:["f","F","\u0111","\xaa"],KeyG:["g","G","\u014b","\u014a"],KeyH:["h","H","\u0127","\u0126"],KeyI:["i","I","\u2192","\u0131"],KeyJ:["j","J","\u0309","\u031b"],KeyK:["k","K","\u0138","&"],KeyL:["l","L","\u0142","\u0141"],KeyM:["m","M","\xb5","\xba"],KeyN:["n","N","n","N"],KeyO:["o","O","\xf8","\xd8"],KeyP:["p","P","\xfe","\xde"],KeyQ:["q","Q","@","\u03a9"],KeyR:["r","R","\xb6","\xae"],KeyS:["s","S","\xdf","\xa7"],KeyT:["t","T","\u0167","\u0166"],KeyU:["u","U","\u2193","\u2191"],KeyV:["v","V","\u201c","\u2018"],KeyW:["w","W","\u0142","\u0141"],KeyX:["x","X","\xbb",">"],KeyY:["y","Y","\u2190","\xa5"],KeyZ:["z","Z","\xab","<"],Digit1:["1","!","|","\xa1"],Digit2:["2",'"',"@","\u215b"],Digit3:["3","\xb7","#","\xa3"],Digit4:["4","$","~","$"],Digit5:["5","%","\xbd","\u215c"],Digit6:["6","&","\xac","\u215d"],Digit7:["7","/","{","\u215e"],Digit8:["8","(","[","\u2122"],Digit9:["9",")","]","\xb1"],Digit0:["0","=","}","\xb0"],Enter:["\r","\r","\r","\r"],Escape:["\x1b","\x1b","\x1b","\x1b"],Backspace:["\b","\b","\b","\b"],Tab:["\t","","\t",""],Space:[" "," "," "," "],Minus:["'","?","\\","\xbf"],Equal:["\xa1","\xbf","\u0303","~"],BracketLeft:["\u0300","\u0302","[","\u030a"],BracketRight:["+","*","]","\u0304"],Backslash:["\xe7","\xc7","}","\u0306"],Semicolon:["\xf1","\xd1","~","\u030b"],Quote:["\u0301","\u0308","{","{"],Backquote:["\xba","\xaa","\\","\\"],Comma:[",",";","\u2500","\xd7"],Period:[".",":","\xb7","\xf7"],Slash:["-","_","\u0323","\u0307"],NumpadDivide:["/","/","/","/"],NumpadMultiply:["*","*","*","*"],NumpadSubtract:["-","-","-","-"],NumpadAdd:["+","+","+","+"],NumpadEnter:["\r","\r","\r","\r"],Numpad1:["","1","","1"],Numpad2:["","2","","2"],Numpad3:["","3","","3"],Numpad4:["","4","","4"],Numpad5:["","5","","5"],Numpad6:["","6","","6"],Numpad7:["","7","","7"],Numpad8:["","8","","8"],Numpad9:["","9","","9"],Numpad0:["","0","","0"],NumpadDecimal:["",".","","."],IntlBackslash:["<",">","|","\xa6"],NumpadEqual:["=","=","=","="],NumpadComma:[".",".",".","."],NumpadParenLeft:["(","(","(","("],NumpadParenRight:[")",")",")",")"]}}),Ki({id:"linux.french",locale:"fr",displayName:"French",virtualLayout:"azerty",platform:"linux",score:0,mapping:{KeyA:["q","Q","@","\u03a9"],KeyB:["b","B","\u201d","\u2019"],KeyC:["c","C","\xa2","\xa9"],KeyD:["d","D","\xf0","\xd0"],KeyE:["e","E","\u20ac","\xa2"],KeyF:["f","F","\u0111","\xaa"],KeyG:["g","G","\u014b","\u014a"],KeyH:["h","H","\u0127","\u0126"],KeyI:["i","I","\u2192","\u0131"],KeyJ:["j","J","\u0309","\u031b"],KeyK:["k","K","\u0138","&"],KeyL:["l","L","\u0142","\u0141"],KeyM:[",","?","\u0301","\u030b"],KeyN:["n","N","n","N"],KeyO:["o","O","\xf8","\xd8"],KeyP:["p","P","\xfe","\xde"],KeyQ:["a","A","\xe6","\xc6"],KeyR:["r","R","\xb6","\xae"],KeyS:["s","S","\xdf","\xa7"],KeyT:["t","T","\u0167","\u0166"],KeyU:["u","U","\u2193","\u2191"],KeyV:["v","V","\u201c","\u2018"],KeyW:["z","Z","\xab","<"],KeyX:["x","X","\xbb",">"],KeyY:["y","Y","\u2190","\xa5"],KeyZ:["w","W","\u0142","\u0141"],Digit1:["&","1","\xb9","\xa1"],Digit2:["\xe9","2","~","\u215b"],Digit3:['"',"3","#","\xa3"],Digit4:["'","4","{","$"],Digit5:["(","5","[","\u215c"],Digit6:["-","6","|","\u215d"],Digit7:["\xe8","7","`","\u215e"],Digit8:["_","8","\\","\u2122"],Digit9:["\xe7","9","^","\xb1"],Digit0:["\xe0","0","@","\xb0"],Enter:["\r","\r","\r","\r"],Escape:["\x1b","\x1b","\x1b","\x1b"],Backspace:["\b","\b","\b","\b"],Tab:["\t","","\t",""],Space:[" "," "," "," "],Minus:[")","\xb0","]","\xbf"],Equal:["=","+","}","\u0328"],BracketLeft:["\u0302","\u0308","\u0308","\u030a"],BracketRight:["$","\xa3","\xa4","\u0304"],Backslash:["*","\xb5","\u0300","\u0306"],Semicolon:["m","M","\xb5","\xba"],Quote:["\xf9","%","\u0302","\u030c"],Backquote:["\xb2","~","\xac","\xac"],Comma:[";",".","\u2500","\xd7"],Period:[":","/","\xb7","\xf7"],Slash:["!","\xa7","\u0323","\u0307"],NumpadMultiply:["*","*","*","*"],NumpadSubtract:["-","-","-","-"],NumpadAdd:["+","+","+","+"],NumpadDecimal:["",".","","."],IntlBackslash:["<",">","|","\xa6"]}}),Ki({id:"windows.french",locale:"fr",displayName:"French",virtualLayout:"azerty",platform:"windows",score:0,mapping:{KeyA:["q","Q","",""],KeyB:["b","B","",""],KeyC:["c","C","",""],KeyD:["d","D","",""],KeyE:["e","E","\u20ac",""],KeyF:["f","F","",""],KeyG:["g","G","",""],KeyH:["h","H","",""],KeyI:["i","I","",""],KeyJ:["j","J","",""],KeyK:["k","K","",""],KeyL:["l","L","",""],KeyM:[",","?","",""],KeyN:["n","N","",""],KeyO:["o","O","",""],KeyP:["p","P","",""],KeyQ:["a","A","",""],KeyR:["r","R","",""],KeyS:["s","S","",""],KeyT:["t","T","",""],KeyU:["u","U","",""],KeyV:["v","V","",""],KeyW:["z","Z","",""],KeyX:["x","X","",""],KeyY:["y","Y","",""],KeyZ:["w","W","",""],Digit1:["&","1","",""],Digit2:["\xe9","2","~",""],Digit3:['"',"3","#",""],Digit4:["'","4","{",""],Digit5:["(","5","[",""],Digit6:["-","6","|",""],Digit7:["\xe8","7","`",""],Digit8:["_","8","\\",""],Digit9:["\xe7","9","^",""],Digit0:["\xe0","0","@",""],Space:[" "," ","",""],Minus:[")","\xb0","]",""],Equal:["=","+","}",""],BracketLeft:["^","\xa8","",""],BracketRight:["$","\xa3","\xa4",""],Backslash:["*","\xb5","",""],Semicolon:["m","M","",""],Quote:["\xf9","%","",""],Backquote:["\xb2","","",""],Comma:[";",".","",""],Period:[":","/","",""],Slash:["!","\xa7","",""],NumpadDivide:["/","/","",""],NumpadMultiply:["*","*","",""],NumpadSubtract:["-","-","",""],NumpadAdd:["+","+","",""],IntlBackslash:["<",">","",""]}}),Ki({id:"windows.german",locale:"de",displayName:"German",platform:"windows",virtualLayout:"qwertz",score:0,mapping:{KeyA:["a","A","",""],KeyB:["b","B","",""],KeyC:["c","C","",""],KeyD:["d","D","",""],KeyE:["e","E","\u20ac",""],KeyF:["f","F","",""],KeyG:["g","G","",""],KeyH:["h","H","",""],KeyI:["i","I","",""],KeyJ:["j","J","",""],KeyK:["k","K","",""],KeyL:["l","L","",""],KeyM:["m","M","\xb5",""],KeyN:["n","N","",""],KeyO:["o","O","",""],KeyP:["p","P","",""],KeyQ:["q","Q","@",""],KeyR:["r","R","",""],KeyS:["s","S","",""],KeyT:["t","T","",""],KeyU:["u","U","",""],KeyV:["v","V","",""],KeyW:["w","W","",""],KeyX:["x","X","",""],KeyY:["z","Z","",""],KeyZ:["y","Y","",""],Digit1:["1","!","",""],Digit2:["2",'"',"\xb2",""],Digit3:["3","\xa7","\xb3",""],Digit4:["4","$","",""],Digit5:["5","%","",""],Digit6:["6","&","",""],Digit7:["7","/","{",""],Digit8:["8","(","[",""],Digit9:["9",")","]",""],Digit0:["0","=","}",""],Space:[" "," ","",""],Minus:["\xdf","?","\\","\u1e9e"],Equal:["\xb4","`","",""],BracketLeft:["\xfc","\xdc","",""],BracketRight:["+","*","~",""],Backslash:["#","'","",""],Semicolon:["\xf6","\xd6","",""],Quote:["\xe4","\xc4","",""],Backquote:["^","\xb0","",""],Comma:[",",";","",""],Period:[".",":","",""],Slash:["-","_","",""],NumpadDivide:["/","/","",""],NumpadMultiply:["*","*","",""],NumpadSubtract:["-","-","",""],NumpadAdd:["+","+","",""],IntlBackslash:["<",">","|",""]}}),Ki({id:"apple.german",locale:"de",displayName:"German",virtualLayout:"qwertz",platform:"apple",score:0,mapping:{KeyA:["a","A","\xe5","\xc5"],KeyB:["b","B","\u222b","\u2039"],KeyC:["c","C","\xe7","\xc7"],KeyD:["d","D","\u2202","\u2122"],KeyE:["e","E","\u20ac","\u2030"],KeyF:["f","F","\u0192","\xcf"],KeyG:["g","G","\xa9","\xcc"],KeyH:["h","H","\xaa","\xd3"],KeyI:["i","I","\u2044","\xdb"],KeyJ:["j","J","\xba","\u0131"],KeyK:["k","K","\u2206","\u02c6"],KeyL:["l","L","@","\ufb02"],KeyM:["m","M","\xb5","\u02d8"],KeyN:["n","N","~","\u203a"],KeyO:["o","O","\xf8","\xd8"],KeyP:["p","P","\u03c0","\u220f"],KeyQ:["q","Q","\xab","\xbb"],KeyR:["r","R","\xae","\xb8"],KeyS:["s","S","\u201a","\xcd"],KeyT:["t","T","\u2020","\u02dd"],KeyU:["u","U","\xa8","\xc1"],KeyV:["v","V","\u221a","\u25ca"],KeyW:["w","W","\u2211","\u201e"],KeyX:["x","X","\u2248","\xd9"],KeyY:["z","Z","\u03a9","\u02c7"],KeyZ:["y","Y","\xa5","\u2021"],Digit1:["1","!","\xa1","\xac"],Digit2:["2",'"',"\u201c","\u201d"],Digit3:["3","\xa7","\xb6","#"],Digit4:["4","$","\xa2","\xa3"],Digit5:["5","%","[","\ufb01"],Digit6:["6","&","]","^"],Digit7:["7","/","|","\\"],Digit8:["8","(","{","\u02dc"],Digit9:["9",")","}","\xb7"],Digit0:["0","=","\u2260","\xaf"],Space:[" "," "," "," "],Minus:["\xdf","?","\xbf","\u02d9"],Equal:["\xb4","`","'","\u02da"],BracketLeft:["\xfc","\xdc","\u2022","\xb0"],BracketRight:["+","*","\xb1","\uf8ff"],Backslash:["#","'","\u2018","\u2019"],Semicolon:["\xf6","\xd6","\u0153","\u0152"],Quote:["\xe4","\xc4","\xe6","\xc6"],Backquote:["<",">","\u2264","\u2265"],Comma:[",",";","\u221e","\u02db"],Period:[".",":","\u2026","\xf7"],Slash:["-","_","\u2013","\u2014"],NumpadDivide:["/","/","/","/"],NumpadMultiply:["*","*","*","*"],NumpadSubtract:["-","-","-","-"],NumpadAdd:["+","+","+","+"],NumpadDecimal:[",",",",".","."],IntlBackslash:["^","\xb0","\u201e","\u201c"],NumpadEqual:["=","=","=","="]}}),Ki({id:"dvorak",locale:"en",displayName:"Dvorak",virtualLayout:"dvorak",platform:"",score:0,mapping:{KeyA:["a","A","\xe5","\xc5"],KeyB:["x","X","\u2248","\u02db"],KeyC:["j","J","\u2206","\xd4"],KeyD:["e","E","\xb4","\xb4"],KeyE:[".",">","\u2265","\u02d8"],KeyF:["u","U","\xa8","\xa8"],KeyG:["i","I","\u02c6","\u02c6"],KeyH:["d","D","\u2202","\xce"],KeyI:["c","C","\xe7","\xc7"],KeyJ:["h","H","\u02d9","\xd3"],KeyK:["t","T","\u2020","\u02c7"],KeyL:["n","N","\u02dc","\u02dc"],KeyM:["m","M","\xb5","\xc2"],KeyN:["b","B","\u222b","\u0131"],KeyO:["r","R","\xae","\u2030"],KeyP:["l","L","\xac","\xd2"],KeyQ:["'",'"',"\xe6","\xc6"],KeyR:["p","P","\u03c0","\u220f"],KeyS:["o","O","\xf8","\xd8"],KeyT:["y","Y","\xa5","\xc1"],KeyU:["g","G","\xa9","\u02dd"],KeyV:["k","K","\u02da","\uf8ff"],KeyW:[",","<","\u2264","\xaf"],KeyX:["q","Q","\u0153","\u0152"],KeyY:["f","F","\u0192","\xcf"],KeyZ:[";",":","\u2026","\xda"],Digit1:["1","!","\xa1","\u2044"],Digit2:["2","@","\u2122","\u20ac"],Digit3:["3","#","\xa3","\u2039"],Digit4:["4","$","\xa2","\u203a"],Digit5:["5","%","\u221e","\ufb01"],Digit6:["6","^","\xa7","\ufb02"],Digit7:["7","&","\xb6","\u2021"],Digit8:["8","*","\u2022","\xb0"],Digit9:["9","(","\xaa","\xb7"],Digit0:["0",")","\xba","\u201a"],Space:[" "," "," "," "],Minus:["[","{","\u201c","\u201d"],Equal:["]","}","\u2018","\u2019"],BracketLeft:["/","?","\xf7","\xbf"],BracketRight:["=","+","\u2260","\xb1"],Backslash:["\\","|","\xab","\xbb"],Semicolon:["s","S","\xdf","\xcd"],Quote:["-","_","\u2013","\u2014"],Backquote:["`","~","`","`"],Comma:["w","W","\u2211","\u201e"],Period:["v","V","\u221a","\u25ca"],Slash:["z","Z","\u03a9","\xb8"],NumpadDivide:["/","/","/","/"],NumpadMultiply:["*","*","*","*"],NumpadSubtract:["-","-","-","-"],NumpadAdd:["+","+","+","+"],Numpad1:["1","1","1","1"],Numpad2:["2","2","2","2"],Numpad3:["3","3","3","3"],Numpad4:["4","4","4","4"],Numpad5:["5","5","5","5"],Numpad6:["6","6","6","6"],Numpad7:["7","7","7","7"],Numpad8:["8","8","8","8"],Numpad9:["9","9","9","9"],Numpad0:["0","0","0","0"],NumpadDecimal:[".",".",".","."],IntlBackslash:["\xa7","\xb1","\xa7","\xb1"],NumpadEqual:["=","=","=","="],AudioVolumeUp:["","=","","="]}});const qi=[{key:"left",command:"moveToPreviousChar"},{key:"right",command:"moveToNextChar"},{key:"up",command:"moveUp"},{key:"down",command:"moveDown"},{key:"shift+[ArrowLeft]",command:"extendSelectionBackward"},{key:"shift+[ArrowRight]",command:"extendSelectionForward"},{key:"shift+[ArrowUp]",command:"extendSelectionUpward"},{key:"shift+[ArrowDown]",command:"extendSelectionDownward"},{key:"[Backspace]",command:"deleteBackward"},{key:"alt+[Delete]",command:"deleteBackward"},{key:"[Delete]",command:"deleteForward"},{key:"alt+[Backspace]",command:"deleteForward"},{key:"alt+[ArrowLeft]",command:"moveToPreviousWord"},{key:"alt+[ArrowRight]",command:"moveToNextWord"},{key:"shift+alt+[ArrowLeft]",command:"extendToPreviousWord"},{key:"shift+alt+[ArrowRight]",command:"extendToNextWord"},{key:"ctrl+[ArrowLeft]",command:"moveToGroupStart"},{key:"ctrl+[ArrowRight]",command:"moveToGroupEnd"},{key:"shift+ctrl+[ArrowLeft]",command:"extendToGroupStart"},{key:"shift+ctrl+[ArrowRight]",command:"extendToGroupEnd"},{key:"[Space]",ifMode:"math",command:"moveAfterParent"},{key:"shift+[Space]",ifMode:"math",command:"moveBeforeParent"},{key:"[Home]",command:"moveToMathFieldStart"},{key:"cmd+[ArrowLeft]",command:"moveToMathFieldStart"},{key:"shift+[Home]",command:"extendToMathFieldStart"},{key:"shift+cmd+[ArrowLeft]",command:"extendToMathFieldStart"},{key:"[End]",command:"moveToMathFieldEnd"},{key:"cmd+[ArrowRight]",command:"moveToMathFieldEnd"},{key:"shift+[End]",command:"extendToMathFieldEnd"},{key:"shift+cmd+[ArrowRight]",command:"extendToMathFieldEnd"},{key:"[Pageup]",command:"moveToGroupStart"},{key:"[Pagedown]",command:"moveToGroupEnd"},{key:"[Tab]",ifMode:"math",command:"moveToNextPlaceholder"},{key:"shift+[Tab]",ifMode:"math",command:"moveToPreviousPlaceholder"},{key:"[Tab]",ifMode:"text",command:"moveToNextPlaceholder"},{key:"shift+[Tab]",ifMode:"text",command:"moveToPreviousPlaceholder"},{key:"[Escape]",ifMode:"math",command:["switchMode","latex"]},{key:"[Escape]",ifMode:"text",command:["switchMode","latex"]},{key:"\\",ifMode:"math",command:["switchMode","latex","\\"]},{key:"[IntlBackslash]",ifMode:"math",command:["switchMode","latex","\\"]},{key:"[Escape]",ifMode:"latex",command:["complete","complete",{selectItem:"true"}]},{key:"[Tab]",ifMode:"latex",command:["complete","accept-suggestion"]},{key:"[Return]",ifMode:"latex",command:"complete"},{key:"[Enter]",ifMode:"latex",command:"complete"},{key:"shift+[Escape]",ifMode:"latex",command:["complete","reject"]},{key:"[ArrowDown]",ifMode:"latex",command:"nextSuggestion"},{key:"[ArrowUp]",ifMode:"latex",command:"previousSuggestion"},{key:"ctrl+a",ifPlatform:"!macos",command:"selectAll"},{key:"cmd+a",command:"selectAll"},{key:"[Cut]",command:"cutToClipboard"},{key:"[Copy]",command:"copyToClipboard"},{key:"[Paste]",command:"pasteFromClipboard"},{key:"[Clear]",command:"deleteBackward"},{key:"ctrl+z",ifPlatform:"!macos",command:"undo"},{key:"cmd+z",command:"undo"},{key:"[Undo]",command:"undo"},{key:"ctrl+y",ifPlatform:"!macos",command:"redo"},{key:"shift+cmd+y",command:"redo"},{key:"shift+ctrl+z",ifPlatform:"!macos",command:"redo"},{key:"shift+cmd+z",command:"redo"},{key:"[Redo]",command:"redo"},{key:"[EraseEof]",command:"deleteToGroupEnd"},{key:"ctrl+b",ifPlatform:"macos",command:"moveToPreviousChar"},{key:"ctrl+f",ifPlatform:"macos",command:"moveToNextChar"},{key:"ctrl+p",ifPlatform:"macos",command:"moveUp"},{key:"ctrl+n",ifPlatform:"macos",command:"moveDown"},{key:"ctrl+a",ifPlatform:"macos",command:"moveToMathFieldStart"},{key:"ctrl+e",ifPlatform:"macos",command:"moveToMathFieldEnd"},{key:"shift+ctrl+b",ifPlatform:"macos",command:"extendSelectionBackward"},{key:"shift+ctrl+f",ifPlatform:"macos",command:"extendSelectionForward"},{key:"shift+ctrl+p",ifPlatform:"macos",command:"extendSelectionUpward"},{key:"shift+ctrl+n",ifPlatform:"macos",command:"extendSelectionDownward"},{key:"shift+ctrl+a",ifPlatform:"macos",command:"extendToMathFieldStart"},{key:"shift+ctrl+e",ifPlatform:"macos",command:"extendToMathFieldEnd"},{key:"alt+ctrl+b",ifPlatform:"macos",command:"moveToPreviousWord"},{key:"alt+ctrl+f",ifPlatform:"macos",command:"moveToNextWord"},{key:"shift+alt+ctrl+b",ifPlatform:"macos",command:"extendToPreviousWord"},{key:"shift+alt+ctrl+f",ifPlatform:"macos",command:"extendToNextWord"},{key:"ctrl+h",ifPlatform:"macos",command:"deleteBackward"},{key:"ctrl+d",ifPlatform:"macos",command:"deleteForward"},{key:"ctrl+l",ifPlatform:"macos",command:"scrollIntoView"},{key:"ctrl+[Digit2]",ifMode:"math",command:["insert","\\sqrt{#0}"]},{key:"ctrl+[Digit5]",ifMode:"math",command:"moveToOpposite"},{key:"ctrl+[Digit6]",ifMode:"math",command:"moveToSuperscript"},{key:"ctrl+[Return]",ifMode:"math",command:"addRowAfter"},{key:"ctrl+[Enter]",ifMode:"math",command:"addRowAfter"},{key:"cmd+[Return]",ifMode:"math",command:"addRowAfter"},{key:"cmd+[Enter]",ifMode:"math",command:"addRowAfter"},{key:"alt+p",ifMode:"math",command:["insert","\\pi"]},{key:"alt+v",ifMode:"math",command:["insert","\\sqrt{#0}"]},{key:"alt+w",ifMode:"math",command:["insert","\\sum_{i=#?}^{#?}"]},{key:"alt+b",command:["insert","\\int_{#?}^{#?}"]},{key:"alt+u",ifMode:"math",command:["insert","\\cup"]},{key:"alt+n",ifMode:"math",command:["insert","\\cap"]},{key:"alt+o",ifMode:"math",command:["insert","\\emptyset"]},{key:"alt+d",ifMode:"math",command:["insert","\\differentialD"]},{key:"shift+alt+o",ifMode:"math",command:["insert","\\varnothing"]},{key:"shift+alt+d",ifMode:"math",command:["insert","\\partial"]},{key:"shift+alt+p",ifMode:"math",command:["insert","\\prod_{i=#?}^{#?}"]},{key:"shift+alt+u",ifMode:"math",command:["insert","\\bigcup"]},{key:"shift+alt+n",ifMode:"math",command:["insert","\\bigcap"]},{key:"shift+alt+a",ifMode:"math",command:["insert","\\forall"]},{key:"shift+alt+e",ifMode:"math",command:["insert","\\exists"]},{key:"alt+[Backslash]",ifMode:"math",command:["insert","\\backslash"]},{key:"[NumpadDivide]",ifMode:"math",command:["insert","\\frac{#@}{#?}"]},{key:"alt+[NumpadDivide]",ifMode:"math",command:["insert","\\frac{#?}{#@}"]},{key:"shift+alt+k",command:"toggleKeystrokeCaption"},{key:"alt+[Space]",command:"toggleVirtualKeyboard"},{key:"alt+ctrl+[ArrowUp]",command:["speak","all",{withHighlighting:!1}]},{key:"alt+ctrl+[ArrowDown]",command:["speak","selection",{withHighlighting:!1}]},{key:"alt+[Equal]",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"math",command:["applyStyle",{mode:"text"}]},{key:"alt+[Equal]",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"text",command:["applyStyle",{mode:"math"}]},{key:"shift+[Quote]",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"math",command:["switchMode","text","",""]},{key:"shift+[Quote]",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"text",command:["switchMode","math","",""]},{key:"/",ifMode:"math",command:["insert","\\frac{#@}{#?}"]},{key:"alt+/",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"math",command:["insert","\\/"]},{key:"alt+[BracketLeft]",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"math",command:["insert","\\left\\lbrack #0 \\right\\rbrack"]},{key:"ctrl+[Minus]",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"math",command:"moveToSubscript"},{key:"shift+alt+[BracketLeft]",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"math",command:["insert","\\left\\lbrace #0 \\right\\rbrace"]},{key:"ctrl+;",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"math",command:"addRowAfter"},{key:"cmd+;",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"math",command:"addRowAfter"},{key:"shift+ctrl+;",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"math",command:"addRowBefore"},{key:"shift+cmd+;",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"math",command:"addRowBefore"},{key:"ctrl+[Backspace]",ifMode:"math",command:"removeRow"},{key:"cmd+[Backspace]",ifMode:"math",command:"removeRow"},{key:"ctrl+[Comma]",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"math",command:"addColumnAfter"},{key:"cmd+[Comma]",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"math",command:"addColumnAfter"},{key:"shift+ctrl+[Comma]",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"math",command:"addColumnBefore"},{key:"shift+cmd+[Comma]",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"math",command:"addColumnBefore"},{key:"shift+[Backspace]",ifMode:"math",command:"removeColumn"},{key:"alt+[Digit5]",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"math",command:["insert","$\\infty"]},{key:"alt+[Digit6]",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"math",command:["insert","\\wedge"]},{key:"shift+alt+[Digit6]",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"math",command:["insert","\\vee"]},{key:"alt+[Digit9]",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"math",command:["insert","("]},{key:"alt+[Digit0]",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"math",command:["insert",")"]},{key:"alt+|",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"math",command:["insert","|"]},{key:"shift+[Backquote]",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"math",command:["insert","\\~"]},{key:"[Backquote]",ifLayout:["windows.french","linux.french"],ifMode:"math",command:["insert","^2"]}],$i={"\\theta":"alt+q","\\sqrt":["alt+v","ctrl+[Digit2]"],"\\pi":"alt+p","\\prod":"shift+alt+p","\\sum":"alt+w","\\int":"alt+b","\\cup":"alt+u","\\cap":"alt+n","\\bigcup":"shift+alt+u","\\bigcap":"shift+alt+n","\\forall":"shift+alt+a","\\exists":"shift+alt+e","\\infty":"alt+[Digit5]","\\wedge":"alt+[Digit6]","\\vee":"shift+alt+[Digit6]","\\differentialD":"alt+d","\\partial":"shift+alt+d","\\frac":"Slash","\\emptyset":"alt+o","\\varnothing":"shift+alt+o","\\~":"~"};function Oi(e){let a=e;return t(a)&&(a=a.length>0?a[0]+"("+a.slice(1).join("")+")":""),a}function Ni(e,a){let i=[];if("string"==typeof a){const e=$i[a];t(e)?i=e.slice():e&&i.push(e)}const o=Oi(a),r=new RegExp("^"+o.replace("\\","\\\\").replace("|","\\|").replace("*","\\*").replace("$","\\$").replace("^","\\^")+"([^*a-zA-Z]|$)");for(const t of e)r.test(Oi(t.command))&&i.push(t.key);return i.map(Fi)}function Fi(e){var t;const a=/macos|ios|/.test(n()),i=e.split("+");let o="";for(const e of i)!a&&o&&(o+='<span class="ML__shortcut-join">+</span>'),e.startsWith("[Key")?o+=e.slice(4,5):e.startsWith("Key")?o+=e.slice(3,4):e.startsWith("[Digit")?o+=e.slice(6,7):e.startsWith("Digit")?o+=e.slice(5,6):o+=null!==(t={cmd:"\u2318",meta:a?"\u2318":"command",shift:a?"\u21e7":"shift",alt:a?"\u2325":"alt",ctrl:a?"\u2303":"control","\n":a?"\u23ce":"return","[return]":a?"\u23ce":"return","[enter]":a?"\u2324":"enter","[tab]":a?"\u21e5":"tab","[escape]":"esc","[backspace]":a?"\u232b":"backspace","[delete]":a?"\u2326":"del","[pageup]":a?"\u21de":"page up","[pagedown]":a?"\u21df":"page down","[home]":a?"\u2912":"home","[end]":a?"\u2913":"end","[space]":"space","[equal]":"=","[minus]":"-","[comma]":",","[slash]":"/","[backslash]":"\\","[bracketleft]":"[","[bracketright]":"]",semicolon:";",period:".",comma:",",minus:"-",equal:"=",quote:"'",bracketLeft:"[",bracketRight:"]",backslash:"\\",intlbackslash:"\\",backquote:"`",slash:"/",numpadmultiply:"* &#128290;",numpaddivide:"/ &#128290;",numpadsubtract:"- &#128290;",numpadadd:"+ &#128290;",numpaddecimal:". &#128290;",numpadcomma:", &#128290;",help:"help",left:"\u21e0",up:"\u21e1",right:"\u21e2",down:"\u21e3","[arrowleft]":"\u21e0","[arrowup]":"\u21e1","[arrowright]":"\u21e2","[arrowdown]":"\u21e3","[digit0]":"0","[digit1]":"1","[digit2]":"2","[digit3]":"3","[digit4]":"4","[digit5]":"5","[digit6]":"6","[digit7]":"7","[digit8]":"8","[digit9]":"9"}[e.toLowerCase()])&&void 0!==t?t:e.toUpperCase();return o}function Pi(e,t){if(e.ifPlatform&&!/^!?(macos|windows|android|ios|chromeos|other)$/.test(e.ifPlatform))throw new Error(`Unexpected platform "${e.ifPlatform}" for keybinding ${e.key}`);if(void 0!==e.ifLayout&&(0===t.score||!e.ifLayout.includes(t.id)))return;const i=Ci(e.key);let o=e.ifPlatform;if(i.cmd){if(o&&"macos"!==o&&"ios"!==o)throw new Error('Unexpected "cmd" modifier with platform "'+o+'"\n"cmd" modifier can only be used with macOS or iOS platform.');o||(o="ios"===n()?"ios":"macos"),i.win=!1,i.cmd=!1,i.meta=!0}if(i.win){if(o&&"windows"!==o)throw new Error('Unexpected "win" modifier with platform "'+o+'"\n"win" modifier can only be used with Windows platform.');o="windows",i.win=!1,i.cmd=!1,i.meta=!0}if(o&&!function(e){if(a()){const t=n(),a=e.startsWith("!"),i=e.endsWith(t);if(a&&!i)return!0;if(!a&&i)return!0}return"!other"!==e&&"other"===e}(o))return;if(/^\[.+\]$/.test(i.key))return{...e,ifPlatform:o,key:Ai(i)};const r=function(e,t){var a;const i={shift:!1,alt:!1,cmd:!1,win:!1,meta:!1,ctrl:!1,key:""};if(!e)return i;for(const[a,o]of Object.entries(t.mapping)){if(o[0]===e)return i.key=`[${a}]`,i;if(o[1]===e)return i.shift=!0,i.key=`[${a}]`,i;if(o[2]===e)return i.alt=!0,i.key=`[${a}]`,i;if(o[3]===e)return i.shift=!0,i.alt=!0,i.key=`[${a}]`,i}return i.key=null!==(a=Di[e])&&void 0!==a?a:"",i}(i.key,t);if(!r)throw new Error('Invalid keybinding key "'+e.key+'"');if(r.shift&&i.shift||r.alt&&i.alt)throw new Error(`The keybinding ${e.key} (${Ri(e.command)}) is conflicting with the key combination ${Ai(r)} using the ${t.displayName} keyboard layout`);return r.shift=r.shift||i.shift,r.alt=r.alt||i.alt,r.meta=i.meta,r.ctrl=i.ctrl,{...e,ifPlatform:o,key:Ai(r)}}function Ri(e){if(Array.isArray(e)){const t=[...e];return t.shift()+"("+t.map((e=>"string"==typeof e?`"${e}"`:e.toString())).join(", ")+")"}return e}var Ii='#mathlive-popover-panel{background-color:rgba(97,97,97,.95);border-radius:8px;box-shadow:0 14px 28px rgba(0,0,0,.25),0 10px 10px rgba(0,0,0,.22);color:#fff;display:flex;flex-direction:column;justify-content:center;position:fixed;text-align:center;transition:all .2s cubic-bezier(.64,.09,.08,1);visibility:hidden;z-index:1}#mathlive-popover-panel:after{border-bottom:5px solid rgba(97,97,97,.9);border-left:5px solid transparent;border-right:5px solid transparent;content:"";font-size:1rem;height:0;left:calc(50% - 3px);position:absolute;top:-5px;width:0}#mathlive-popover-panel.is-visible{animation:ML__fade-in .15s cubic-bezier(0,0,.2,1);visibility:inherit}@keyframes ML__fade-in{0%{opacity:0}to{opacity:1}}#mathlive-popover-panel ul{align-items:flex-start;display:flex;flex-flow:column;justify-content:center;list-style:none;margin:0;padding:0}#mathlive-popover-panel li{border-radius:8px;column-gap:1em;cursor:pointer;display:flex;flex-direction:row;justify-content:space-between;margin:8px;padding:8px;width:calc(100% - 32px)}#mathlive-popover-panel li a{color:#5ea6fd;display:block;margin-top:.4em;padding-top:.3em}#mathlive-popover-panel li a:hover{color:#5ea6fd;text-decoration:underline}#mathlive-popover-panel li.is-active,#mathlive-popover-panel li.is-pressed,#mathlive-popover-panel li:hover{background:hsla(0,0%,100%,.1)}.ML__popover__command{font-family:KaTeX_Main;font-size:1.6rem}.ML__popover__latex{align-self:center;font-family:IBM Plex Mono,Source Code Pro,Consolas,Roboto Mono,Menlo,Bitstream Vera Sans Mono,DejaVu Sans Mono,Monaco,Courier,monospace}.ML__popover__keybinding{font-family:system-ui,-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen,Ubuntu,Cantarell,Fira Sans,Droid Sans,Helvetica Neue,sans-serif;font-size:.8em;opacity:.7}.ML__shortcut-join{opacity:.5}',Vi='.ML__sr-only{clip:rect(0,0,0,0);border:0;-webkit-clip-path:inset(50%);clip-path:inset(50%);height:1px;margin:-1px;overflow:hidden;padding:0;position:absolute;white-space:nowrap;width:1px}.ML__base,.ML__isInline{display:inline-block}.ML__base{border:0;box-sizing:content-box;cursor:text;font-family:inherit;font-style:inherit;font-weight:inherit;margin:0;outline:0;padding:0;position:relative;text-decoration:none;vertical-align:baseline;visibility:inherit;width:min-content}body.ML__fonts-loading .ML__base{visibility:hidden}.ML__strut,.ML__strut--bottom{display:inline-block;min-height:.5em}.ML__small-delim{font-family:KaTeX_Main}.ML__text{font-family:var(--text-font-family,system-ui,-apple-system,BlinkMacSystemFont,"Segoe UI","Roboto","Oxygen","Ubuntu","Cantarell","Fira Sans","Droid Sans","Helvetica Neue",sans-serif);white-space:pre}.ML__cmr{font-family:KaTeX_Main;font-style:normal}.ML__mathit{font-family:KaTeX_Math;font-style:italic}.ML__mathbf{font-family:KaTeX_Main;font-weight:700}.lcGreek.ML__mathbf{font-family:KaTeX_Math;font-weight:400}.ML__mathbfit{font-family:KaTeX_Math;font-style:italic;font-weight:700}.ML__ams,.ML__bb{font-family:KaTeX_AMS}.ML__cal{font-family:KaTeX_Caligraphic}.ML__frak{font-family:KaTeX_Fraktur}.ML__tt{font-family:KaTeX_Typewriter}.ML__script{font-family:KaTeX_Script}.ML__sans{font-family:KaTeX_SansSerif}.ML__series_el,.ML__series_ul{font-weight:100}.ML__series_l{font-weight:200}.ML__series_sl{font-weight:300}.ML__series_sb{font-weight:500}.ML__bold,.ML__boldsymbol{font-weight:700}.ML__series_eb{font-weight:800}.ML__series_ub{font-weight:900}.ML__series_uc{font-stretch:ultra-condensed}.ML__series_ec{font-stretch:extra-condensed}.ML__series_c{font-stretch:condensed}.ML__series_sc{font-stretch:semi-condensed}.ML__series_sx{font-stretch:semi-expanded}.ML__series_x{font-stretch:expanded}.ML__series_ex{font-stretch:extra-expanded}.ML__series_ux{font-stretch:ultra-expanded}.ML__it{font-style:italic}.ML__shape_ol{-webkit-text-stroke:1px #000;text-stroke:1px #000;color:transparent}.ML__shape_sc{font-variant:small-caps}.ML__shape_sl{font-style:oblique}.ML__emph{color:#bc2612}.ML__emph .ML__emph{color:#0c7f99}.ML__highlight{background:#edd1b0;color:#007cb2}.ML__center{text-align:center}.ML__label_padding{padding:0 .5em}.ML__frac-line{min-height:1px;width:100%}.ML__frac-line:after{background:currentColor;box-sizing:content-box;content:"";display:block;margin-top:-.04em;min-height:.04em;-webkit-print-color-adjust:exact;print-color-adjust:exact;transform:translate(0)}.ML__sqrt,.ML__sqrt-sign{display:inline-block}.ML__sqrt-sign{font-family:KaTeX_Main;position:relative}.ML__sqrt-line{display:inline-block;height:.04em;width:100%}.ML__sqrt-line:before{background:currentColor;content:"";display:block;margin-top:-.04em;min-height:.04em;-webkit-print-color-adjust:exact;print-color-adjust:exact;transform:translate(0)}.ML__sqrt-line:after{border-bottom-width:1px;content:" ";display:block;margin-top:-.1em}.ML__sqrt-index{margin-left:.27777778em;margin-right:-.55555556em}.ML__delim-size1{font-family:KaTeX_Size1}.ML__delim-size2{font-family:KaTeX_Size2}.ML__delim-size3{font-family:KaTeX_Size3}.ML__delim-size4{font-family:KaTeX_Size4}.ML__delim-mult .delim-size1>span{font-family:KaTeX_Size1}.ML__delim-mult .delim-size4>span{font-family:KaTeX_Size4}.ML__accent-body>span{font-family:KaTeX_Main;width:0}.ML__accent-vec>span{left:.24em;position:relative}.ML__mathlive{word-wrap:normal;direction:ltr;display:inline-block;font-family:KaTeX_Main,Times New Roman,serif;font-size-adjust:none;font-stretch:normal;font-style:normal;font-variant-caps:normal;letter-spacing:normal;line-height:1.2;text-align:left;text-indent:0;text-rendering:auto;text-shadow:none;-webkit-user-select:none;user-select:none;white-space:nowrap;width:min-content;word-spacing:normal}.ML__mathlive .style-wrap{position:relative}.ML__mathlive .left-right,.ML__mathlive .mfrac{display:inline-block}.ML__mathlive .vlist-t{border-collapse:collapse;display:inline-table;table-layout:fixed}.ML__mathlive .vlist-r{display:table-row}.ML__mathlive .vlist{display:table-cell;position:relative;vertical-align:bottom}.ML__mathlive .vlist>span{display:block;height:0;position:relative}.ML__mathlive .vlist>span>span{display:inline-block}.ML__mathlive .vlist>span>.pstrut{overflow:hidden;width:0}.ML__mathlive .vlist-t2{margin-right:-2px}.ML__mathlive .vlist-s{display:table-cell;font-size:1px;min-width:2px;vertical-align:bottom;width:2px}.ML__mathlive .msubsup{text-align:left}.ML__mathlive .negativethinspace{display:inline-block;height:.71em;margin-left:-.16667em}.ML__mathlive .thinspace{display:inline-block;height:.71em;width:.16667em}.ML__mathlive .mediumspace{display:inline-block;height:.71em;width:.22222em}.ML__mathlive .thickspace{display:inline-block;height:.71em;width:.27778em}.ML__mathlive .enspace{display:inline-block;height:.71em;width:.5em}.ML__mathlive .quad{display:inline-block;height:.71em;width:1em}.ML__mathlive .qquad{display:inline-block;height:.71em;width:2em}.ML__mathlive .llap,.ML__mathlive .rlap{display:inline-block;position:relative;width:0}.ML__mathlive .llap>.inner,.ML__mathlive .rlap>.inner{position:absolute}.ML__mathlive .llap>.fix,.ML__mathlive .rlap>.fix{display:inline-block}.ML__mathlive .llap>.inner{right:0}.ML__mathlive .rlap>.inner{left:0}.ML__mathlive .rule{border:0 solid;box-sizing:border-box;display:inline-block;position:relative}.ML__mathlive .overline .overline-line,.ML__mathlive .underline .underline-line{width:100%}.ML__mathlive .overline .overline-line:before,.ML__mathlive .underline .underline-line:before{border-bottom-style:solid;border-bottom-width:.04em;content:"";display:block}.ML__mathlive .overline .overline-line:after,.ML__mathlive .underline .underline-line:after{border-bottom-style:solid;border-bottom-width:.04em;content:"";display:block;margin-top:-1px;min-height:thin}.ML__mathlive .stretchy{display:block;left:0;overflow:hidden;position:absolute;width:100%}.ML__mathlive .stretchy:after,.ML__mathlive .stretchy:before{content:""}.ML__mathlive .stretchy svg{fill:currentColor;stroke:currentColor;fill-rule:nonzero;fill-opacity:1;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1;display:block;height:inherit;position:absolute;width:100%}.ML__mathlive .slice-1-of-2{left:0}.ML__mathlive .slice-1-of-2,.ML__mathlive .slice-2-of-2{display:inline-flex;overflow:hidden;position:absolute;width:50.2%}.ML__mathlive .slice-2-of-2{right:0}.ML__mathlive .slice-1-of-3{display:inline-flex;left:0;overflow:hidden;position:absolute;width:25.1%}.ML__mathlive .slice-2-of-3{display:inline-flex;left:25%;overflow:hidden;position:absolute;width:50%}.ML__mathlive .slice-3-of-3{display:inline-flex;overflow:hidden;position:absolute;right:0;width:25.1%}.ML__mathlive .slice-1-of-1{display:inline-flex;left:0;overflow:hidden;position:absolute;width:100%}.ML__mathlive .nulldelimiter{display:inline-block;width:.12em}.ML__mathlive .op-group{display:inline-block}.ML__mathlive .op-symbol{position:relative}.ML__mathlive .op-symbol.small-op{font-family:KaTeX_Size1}.ML__mathlive .op-symbol.large-op{font-family:KaTeX_Size2}.ML__mathlive .accent>.vlist>span{text-align:center}.ML__mathlive .mtable .vertical-separator{box-sizing:border-box;display:inline-block;min-width:1px}.ML__mathlive .mtable .arraycolsep{display:inline-block}.ML__mathlive .mtable .col-align-m>.vlist-t{text-align:center}.ML__mathlive .mtable .col-align-c>.vlist-t{text-align:center}.ML__mathlive .mtable .col-align-l>.vlist-t{text-align:left}.ML__mathlive .mtable .col-align-r>.vlist-t{text-align:right}.ML__error{background-color:rgba(204,0,65,.1);background-image:radial-gradient(ellipse at center,#cc0041,transparent 70%);background-position:0 100%;background-repeat:repeat-x;background-size:3px 3px;display:inline-block;padding-bottom:3px}.ML__error>.ML__error{background:transparent;padding:0}.ML__composition{background:#fff1c2;color:#000;-webkit-text-decoration:underline var(--caret-color-computed,var(--ML__caret-color));text-decoration:underline var(--caret-color-computed,var(--ML__caret-color))}@media (prefers-color-scheme:dark){.ML__composition{background:#69571c;color:#fff}}.ML__placeholder{color:var(--placeholder-color,var(--ML__placeholder-color));font-family:system-ui,-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen,Ubuntu,Cantarell,Fira Sans,Droid Sans,Helvetica Neue,sans-serif;opacity:var(--placeholder-opacity,.4);padding-left:.4ex;padding-right:.4ex}.ML__placeholdercontainer{display:none}.ML__placeholdercontainer math-field{border:1px solid var(--editable-border);border-radius:4px;display:inline-block;min-width:32px;padding-left:4px;padding-right:4px;position:absolute;z-index:1001}.ML__isReadOnly .ML__placeholdercontainer{display:block}.ML__container{min-height:auto!important}';function Hi(e){var t;"function"!=typeof(null===(t=e.listeners)||void 0===t?void 0:t.onSelectionDidChange)||e.suppressChangeNotifications||(e.suppressChangeNotifications=!0,e.listeners.onSelectionDidChange(e),e.suppressChangeNotifications=!1)}function ji(e,t={}){if(e.suppressChangeNotifications||!e.mathfield.host)return!0;e.suppressChangeNotifications=!0;const a=e.mathfield.host.dispatchEvent(new InputEvent("beforeinput",{...t,cancelable:!0,bubbles:!0,composed:!0}));return e.suppressChangeNotifications=!1,a}function Wi(e,t){!e.suppressChangeNotifications&&e.mathfield.host&&(e.suppressChangeNotifications=!0,e.mathfield.host.dispatchEvent(new InputEvent("input",{...t,bubbles:!0,composed:!0})),e.suppressChangeNotifications=!1)}function Ji(e){var t,a;const i=e.atoms.find((e=>e instanceof ia));return i&&null!==(a=null===(t=i.body)||void 0===t?void 0:t.filter((e=>e instanceof aa)))&&void 0!==a?a:[]}function Ui(e,t){var a;let i=0,o=!1;const r=Number.isFinite(null==t?void 0:t.before)?null!==(a=null==t?void 0:t.before)&&void 0!==a?a:0:e.lastOffset;for(;i<=r&&!o;){const t=e.at(i);o=t instanceof aa&&t.isSuggestion,o||i++}if(!o)return[void 0,void 0];let n=i,s=!1;for(;n<=r&&!s;){const t=e.at(n);s=!(t instanceof aa&&t.isSuggestion),s||n++}return[i-1,n-1]}function Xi(e){const t=Ji(e.model).filter((e=>e.isSuggestion));if(0!==t.length){e.model.position=e.model.offsetOf(t[0].leftSibling);for(const e of t)e.parent.removeChild(e)}}function Gi(e,t){var a;const{model:i}=e;Xi(e);for(const e of Ji(i))e.isError=!1;if(!i.selectionIsCollapsed)return void ro(e);const o=[];let r=i.at(i.position);for(;r&&r instanceof aa&&/^[a-zA-Z\*]$/.test(r.value);)r=r.leftSibling;if(r&&r instanceof aa&&"\\"===r.value)for(o.push(r),r=r.rightSibling;r&&r instanceof aa&&/^[a-zA-Z\*]$/.test(r.value);)o.push(r),r=r.rightSibling;const n=o.map((e=>e.value)).join(""),s=n?function(e,t){var a,i;if("\\"===t)return[];if(!t.startsWith("\\"))return[];const o=[];for(const e in _)e.startsWith(t)&&!_[e].infix&&o.push({match:e,frequency:null!==(a=_[e].frequency)&&void 0!==a?a:0});for(const e in x)e.startsWith(t)&&o.push({match:e,frequency:null!==(i=x[e].frequency)&&void 0!==i?i:0});const r=t.substring(1);for(const t of Object.keys(e.options.macros))t.startsWith(r)&&o.push({match:"\\"+t,frequency:0});return o.sort(((e,t)=>{var a,i;return e.frequency===t.frequency?e.match.length===t.match.length?e.match<t.match?-1:1:e.match.length-t.match.length:(null!==(a=t.frequency)&&void 0!==a?a:0)-(null!==(i=e.frequency)&&void 0!==i?i:0)})),o.map((e=>e.match))}(e,n):[];if(0===s.length)return/^\\[a-zA-Z\*]+$/.test(n)&&o.forEach((e=>{e.isError=!0})),void ro(e);e.suggestionIndex=null!==(a=null==t?void 0:t.atIndex)&&void 0!==a?a:0,e.suggestionIndex<0&&(e.suggestionIndex=s.length-1);const l=s[e.suggestionIndex%s.length];if(l!==n){const t=o[o.length-1];t.parent.addChildrenAfter([...l.slice(n.length-l.length)].map((t=>new aa(t,e,{isSuggestion:!0}))),t),so(e)}!function(e,t){if(0===t.length||!1===e.options.enablePopover)return void ro(e);t=t.slice(0,10);let a="<ul>";for(const i of t){const t=i,o=ao(e,i),r=Ni(e.keybindings,t).join("<br>");a+=`<li role="button" data-command="${t}"><span class="ML__popover__latex">${t}</span><span class="ML__popover__command">${o}</span>`,r&&(a+=`<span class="ML__popover__keybinding">${r}</span>`),a+="</li>"}a+="</ul>",e.popover=function(e,t){return e.popover?(e.popover.innerHTML=e.options.createHTML(t),e.popover):(e.popover=ni("mathlive-popover-panel"),void 0===Qi&&(Qi=Mi(Ii).toString(36)),eo=Li(null,Ii,Qi),to=Li(null,Vi,Mi(Vi).toString(36)),e.popover.innerHTML=e.options.createHTML(t),e.popover)}(e,a);const i=e.popover.querySelectorAll("ul li");for(const t of i)t.addEventListener("pointerdown",(e=>{e.preventDefault()})),t.addEventListener("click",(a=>{Yi(e,"reject"),Na.insert("math",e.model,t.dataset.command,{selectionMode:"placeholder",format:"latex"}),e.dirty=!0,e.scrollIntoView(),e.focus()}));setTimeout((()=>{const t=di(e.field);t&&oo(e,t),e.popover&&(e.popover.classList.add("is-visible"),e.popoverVisible=!0)}),32)}(e,s)}function Zi(e){const[t,a]=Ui(e,{before:e.position});if(void 0===t||void 0===a)return!1;let i=!1;return e.getAtoms([t,a]).forEach((e=>{e.isSuggestion&&(e.isSuggestion=!1,i=!0)})),i}function Yi(e,t="accept",a){var i,o;ro(e);const r=e.model.atoms.find((e=>e instanceof ia));if(!r)return!1;if("accept-suggestion"===t){const t=Ji(e.model).filter((e=>e.isSuggestion));if(0===t.length)return!1;for(const e of t)e.isSuggestion=!1;return e.model.position=e.model.offsetOf(t[t.length-1]),!0}const n=Ji(e.model).filter((e=>!e.isSuggestion)).map((e=>e.value)).join(""),s=r.leftSibling;return r.parent.removeChild(r),e.model.position=e.model.offsetOf(s),e.mode=null!==(i=null==a?void 0:a.mode)&&void 0!==i?i:"math","reject"===t||(Na.insert("math",e.model,n,{selectionMode:null!==(o=null==a?void 0:a.selectItem)&&void 0!==o&&o?"item":"placeholder",format:"latex"}),e.snapshot(),e.model.announce("replacement")),!0}let Qi;new class extends Na{constructor(){super("latex")}createAtom(e,t,a){return new aa(e,t)}onPaste(e,t){if(!t.clipboardData)return!1;let a=t.clipboardData.getData("text/x-latex");return a||(a=t.clipboardData.getData("text/plain")),!(!a||!ji(e.model,{inputType:"insertFromPaste",data:a})||(e.snapshot(),this.insert(e.model,a)&&(Wi(e.model,{inputType:"insertFromPaste"}),so(e)),t.preventDefault(),t.stopPropagation(),0))}insert(e,t,a){if(!ji(e,{data:t,inputType:"insertText"}))return!1;a||(a={}),a.insertionMode||(a.insertionMode="replaceSelection"),a.selectionMode||(a.selectionMode="placeholder");const{suppressChangeNotifications:i}=e;a.suppressChangeNotifications&&(e.suppressChangeNotifications=!0);const o=e.suppressChangeNotifications;e.suppressChangeNotifications=!0,"replaceSelection"!==a.insertionMode||e.selectionIsCollapsed?"replaceAll"===a.insertionMode?(e.root.setChildren([],"body"),e.position=0):"insertBefore"===a.insertionMode?e.collapseSelection("backward"):"insertAfter"===a.insertionMode&&e.collapseSelection("forward"):e.deleteAtoms(Aa(e.selection));const r=[];for(const a of t)C.test(a)&&r.push(new aa(a,e.mathfield));let n=e.at(e.position);if(n instanceof ia&&(n=n.lastChild),!(n.parent instanceof ia)){const t=new ia("",e.mathfield);n.parent.addChildAfter(t,n),n=t.firstChild}const s=n.parent.addChildrenAfter(r,n);return e.suppressChangeNotifications=o,"before"===a.selectionMode||("item"===a.selectionMode?e.setSelection(e.anchor,e.offsetOf(s)):s&&(e.position=e.offsetOf(s))),Wi(e,{data:t,inputType:"insertText"}),e.suppressChangeNotifications=i,!0}};let eo=null,to=null;function ao(e,t){const a=e,i=new dt("root",a);return i.body=Ft(t,a,{parseMode:"math"}),He(Pe(Ve(new Ne(i.render(new Ae({registers:a.registers},{fontSize:5},"displaystyle")),{classes:"ML__base"}))),{classes:"ML__mathlive"}).toMarkup()}function io(e,t){var a;if(e.element&&e.element.mathfield===e&&e.popover&&e.popoverVisible)if(null==t?void 0:t.deferred)setTimeout((()=>io(e)),100);else if("latex"!==(null===(a=e.model.at(e.model.position))||void 0===a?void 0:a.type))ro(e);else{const t=di(e.field);t&&oo(e,t)}}function oo(e,t){if(i(),!e.popover||!e.popoverVisible)return;const a=window.innerHeight||document.documentElement.clientHeight||document.body.clientHeight,o=window.innerWidth||document.documentElement.clientWidth||document.body.clientWidth,r=window.innerWidth-document.documentElement.clientWidth,n=window.innerHeight-document.documentElement.clientHeight,s=e.virtualKeyboard.height;t.x+e.popover.offsetWidth/2>o-r?e.popover.style.left=o-e.popover.offsetWidth-r+"px":t.x-e.popover.offsetWidth/2<0?e.popover.style.left="0":e.popover.style.left=t.x-e.popover.offsetWidth/2+"px",t.y+e.popover.offsetHeight+5>a-n-s?(e.popover.classList.add("ML__popover--reverse-direction"),e.popover.style.top=t.y-t.height-e.popover.offsetHeight-5+"px"):(e.popover.classList.remove("ML__popover--reverse-direction"),e.popover.style.top=`${t.y+5}px`)}function ro(e){e.suggestionIndex=0,e.popoverVisible=!1,e.popover&&(e.popover.classList.remove("is-visible"),e.popover.innerHTML="")}function no(e){let t=0;for(let a=0;a<e.length;a++)t=31*t+e.charCodeAt(a),t|=0;return Math.abs(t)}function so(e,t){e.dirty||(e.dirty=!0,requestAnimationFrame((()=>{li(e)&&e.dirty&&(e.atomBoundsCache=new Map,lo(e,t),e.atomBoundsCache=void 0)})))}function lo(e,t){var a;if(i(),!li(e))return;t=null!=t?t:{};const{model:o}=e;o.root.caret="",o.root.isSelected=!1,o.root.containsCaret=!0;for(const e of o.atoms)e.caret="",e.isSelected=!1,e.containsCaret=!1;const r=!e.options.readOnly&&e.hasFocus();if(o.selectionIsCollapsed)o.at(o.position).caret=r?e.mode:"";else{const e=o.getAtoms(o.selection,{includeChildren:!0});for(const t of e)t.isSelected=!0}if(r){let e=o.at(o.position).parent;for(;e;)e.containsCaret=!0,e=e.parent}const n=function(e,t){var a;return t=null!=t?t:{},He(Ve(e.model.root.render(new Ae({registers:e.registers,atomIdsSettings:{seed:t.forHighlighting?no(dt.serialize(e.model.root,{expandMacro:!1,defaultMode:e.options.defaultMode})):"random",groupNumbers:null!==(a=t.forHighlighting)&&void 0!==a&&a},renderPlaceholder:e.options.readOnly?(t,a)=>{if(a.placeholderId){const i=e.getPlaceholderField(a.placeholderId);return a.createMathfieldBox(t,i,a.placeholderId)}return a.createBox(t)}:void 0},{fontSize:5,letterShapeStyle:e.options.letterShapeStyle},"inline-math"===e.options.defaultMode?"textstyle":"displaystyle")),e.options.horizontalSpacingScale),{classes:"ML__mathlive",attributes:{translate:"no","aria-hidden":"true"}})}(e,t),s=e.field,l=s.classList.contains("ML__focused");l&&!r?s.classList.remove("ML__focused"):!l&&r&&s.classList.add("ML__focused"),s.innerHTML=e.options.createHTML(n.toMarkup()),e.fieldContent=s.querySelector(".ML__mathlive"),e.accessibleNode.innerHTML=e.options.createHTML('<math xmlns="http://www.w3.org/1998/Math/MathML">'+Xa(o.root,e.options)+"</math>"),co(e),e.options.readOnly&&e.attachNestedMathfield(),null!==(a=t.interactive)&&void 0!==a&&a||setTimeout((()=>co(e)),32),e.dirty=!1}function co(e){i();const t=e.field;if(!t)return;for(const e of t.querySelectorAll(".ML__selection, .ML__contains-highlight"))e.remove();if(!e.hasFocus())return;const a=e.model,o=parseFloat(getComputedStyle(t).width);let r=t.getBoundingClientRect().width/o;if(r=isNaN(r)?1:r,a.selectionIsCollapsed){setTimeout((()=>io(e)),32);let i=a.at(a.position);for(;i&&(!i.containsCaret||!i.displayContainsHighlight);)i=i.parent;if((null==i?void 0:i.containsCaret)&&i.displayContainsHighlight){const a=ui(e,hi(e,i));if(a){a.left/=r,a.right/=r,a.top/=r,a.bottom/=r;const e=document.createElement("div");e.classList.add("ML__contains-highlight"),e.style.position="absolute",e.style.left=`${a.left}px`,e.style.top=`${a.top}px`,e.style.width=`${Math.ceil(a.right-a.left)}px`,e.style.height=`${Math.ceil(a.bottom-a.top-1)}px`,t.insertBefore(e,t.childNodes[0])}}}else for(const a of function(e){let t=[];for(const a of e){let e=!1;for(const i of t)if(a.left===i.left&&a.right===i.right&&a.top===i.top&&a.bottom===i.bottom){e=!0;break}e||t.push(a)}e=t,t=[];for(const a of e){let i=0;for(const t of e)if(a.left>=t.left&&a.right<=t.right&&a.top>=t.top&&a.bottom<=t.bottom&&(i+=1,i>1))break;1===i&&t.push(a)}return t}(mi(e,{excludeAtomsWithBackground:!0}))){a.left/=r,a.right/=r,a.top/=r,a.bottom/=r;const e=document.createElement("div");e.classList.add("ML__selection"),e.style.position="absolute",e.style.left=`${a.left}px`,e.style.top=`${a.top}px`,e.style.width=`${Math.ceil(a.right-a.left)}px`,e.style.height=`${Math.ceil(a.bottom-a.top-1)}px`,t.insertBefore(e,t.childNodes[0])}}const uo={};function po(e,t){t=null!=t?t:{target:"mathfield",canUndo:!1};for(const a of Object.keys(e))uo[a]={...t,fn:e[a]}}function ho(e){var a;let i;return i=t(e)?e[0]:e,i=i.replace(/-\w/g,(e=>e[1].toUpperCase())),null===(a=uo[i])||void 0===a?void 0:a.target}function mo(e,t,a){return t+ii(a,{...e,textToSpeechMarkup:"",textToSpeechRulesOptions:{...e.textToSpeechRulesOptions,markup:"none"}})}function fo(e,t){var i,o,r;if(a()&&(null!=t||(t=null!==(i=qn().config)&&void 0!==i?i:{}),t))if(t.speechEngine&&"local"!==t.speechEngine)if("amazon"===t.speechEngine){if("AWS"in window){const a=new globalThis.AWS.Polly({apiVersion:"2016-06-10"}),i={OutputFormat:"mp3",VoiceId:null!==(o=t.speechEngineVoice)&&void 0!==o?o:"Joanna",Engine:["Amy","Emma","Brian","Ivy","Joanna","Kendra","Kimberly","Salli","Joey","Justin","Matthew"].includes(null!==(r=t.speechEngineVoice)&&void 0!==r?r:"Joanna")?"neural":"standard",Text:e,TextType:"ssml"};a.synthesizeSpeech(i,((e,t)=>{if(e);else if(null==t?void 0:t.AudioStream){const e=new Uint8Array(t.AudioStream),a=new Blob([e.buffer],{type:"audio/mpeg"}),i=URL.createObjectURL(a);new Audio(i).play().catch((e=>{}))}}))}}else t.speechEngine;else{const t=new SpeechSynthesisUtterance(e);window.speechSynthesis.speak(t)}}function yo(e){if(e&&(e.classList.remove("ML__highlight"),e.children))for(const t of e.children)yo(t)}function bo(e,t){var a;e&&(t&&(null===(a=e.dataset)||void 0===a?void 0:a.atomId)!==t?(e.classList.remove("ML__highlight"),e.children&&e.children.length>0&&[...e.children].forEach((e=>{e instanceof HTMLElement&&bo(e,t)}))):(e.classList.add("ML__highlight"),e.children&&e.children.length>0&&[...e.children].forEach((e=>{e instanceof HTMLElement&&bo(e)}))))}function go(e,t,i){var o;if(!a())return;if(null!=i||(i=qn().config),"amazon"!==i.speechEngine)return void(i.speakHook&&i.speakHook(t,i));if(!globalThis.AWS)return;const r=new globalThis.AWS.Polly({apiVersion:"2016-06-10"}),n={OutputFormat:"json",VoiceId:null!==(o=i.speechEngineVoice)&&void 0!==o?o:"Joanna",Engine:"standard",Text:t,TextType:"ssml",SpeechMarkTypes:["ssml"]};qn().readAloudElement=e,r.synthesizeSpeech(n,((e,t)=>{if(e)return;if(!(null==t?void 0:t.AudioStream))return;const a=new TextDecoder("utf-8").decode(new Uint8Array(t.AudioStream));qn().readAloudMarks=a.split("\n").map((e=>e?JSON.parse(e):{})),qn().readAloudTokens=[];for(const e of qn().readAloudMarks)e.value&&qn().readAloudTokens.push(e.value);qn().readAloudCurrentMark="",n.OutputFormat="mp3",n.SpeechMarkTypes=[],r.synthesizeSpeech(n,((e,t)=>{if(e)return;if(!(null==t?void 0:t.AudioStream))return;const a=new Uint8Array(t.AudioStream),i=new Blob([a.buffer],{type:"audio/mpeg"}),o=URL.createObjectURL(i),r=qn();r.readAloudAudio?r.readAloudAudio.pause():(r.readAloudAudio=new Audio,r.readAloudAudio.addEventListener("ended",(()=>{const e=r.readAloudMathField;r.readAloudStatus="ended",document.body.dispatchEvent(new Event("read-aloud-status-change",{bubbles:!0,composed:!0})),e?(lo(e),r.readAloudElement=null,r.readAloudMathField=null,r.readAloudTokens=[],r.readAloudMarks=[],r.readAloudCurrentMark=""):yo(r.readAloudElement)})),r.readAloudAudio.addEventListener("timeupdate",(()=>{let e="";const t=1e3*r.readAloudAudio.currentTime+100;for(const a of r.readAloudMarks)a.time<t&&(e=a.value);r.readAloudCurrentMark!==e&&(r.readAloudCurrentToken=e,e&&e===r.readAloudFinalToken?r.readAloudAudio.pause():(r.readAloudCurrentMark=e,bo(r.readAloudElement,r.readAloudCurrentMark)))}))),r.readAloudAudio.src=o,r.readAloudStatus="playing",document.body.dispatchEvent(new Event("read-aloud-status-change",{bubbles:!0,composed:!0})),r.readAloudAudio.play()}))}))}function vo(e,i){var r,n,s;const d=ko(e,Object.keys(e));for(const e of Object.keys(i))switch(e){case"scriptDepth":if(t(i.scriptDepth))d.scriptDepth=[i.scriptDepth[0],i.scriptDepth[1]];else{if("number"!=typeof i.scriptDepth)throw new TypeError("Unexpected value for scriptDepth");d.scriptDepth=[i.scriptDepth,i.scriptDepth]}break;case"locale":"auto"===i.locale?d.locale=a()?navigator.language.slice(0,5):"en":d.locale=i.locale,l.locale=d.locale;break;case"strings":l.merge(i.strings),d.strings=l.strings;break;case"virtualKeyboardLayout":d.virtualKeyboardLayout=i.virtualKeyboardLayout;break;case"virtualKeyboardMode":const c=i.virtualKeyboardMode.toLowerCase();d.virtualKeyboardMode="auto"===c?o()?"onfocus":"off":c;break;case"customVirtualKeyboardLayers":d.customVirtualKeyboardLayers={...d.customVirtualKeyboardLayers,...i.customVirtualKeyboardLayers};break;case"customVirtualKeyboards":d.customVirtualKeyboards={...d.customVirtualKeyboards,...i.customVirtualKeyboards};break;case"letterShapeStyle":"auto"===i.letterShapeStyle?l.locale.startsWith("fr")?d.letterShapeStyle="french":d.letterShapeStyle="tex":d.letterShapeStyle=i.letterShapeStyle;break;case"plonkSound":void 0!==i.plonkSound&&(d.plonkSound=i.plonkSound);break;case"keypressSound":null===i.keypressSound?d.keypressSound={default:null,delete:null,return:null,spacebar:null}:"string"==typeof i.keypressSound?d.keypressSound={delete:i.keypressSound,return:i.keypressSound,spacebar:i.keypressSound,default:i.keypressSound}:"object"==typeof i.keypressSound&&"default"in i.keypressSound&&(d.keypressSound={...i.keypressSound},d.keypressSound.delete=null!==(r=d.keypressSound.delete)&&void 0!==r?r:i.keypressSound.default,d.keypressSound.return=null!==(n=d.keypressSound.return)&&void 0!==n?n:i.keypressSound.default,d.keypressSound.spacebar=null!==(s=d.keypressSound.spacebar)&&void 0!==s?s:i.keypressSound.default);break;case"computeEngine":d.computeEngine=i.computeEngine;break;case"virtualKeyboardContainer":d.virtualKeyboardContainer=i.virtualKeyboardContainer;break;case"macros":d.macros=j(i.macros);break;default:t(i[e])?d[e]=[...i[e]]:"object"==typeof i[e]?d[e]={...i[e]}:d[e]=i[e]}return d}function ko(e,a){let i;i="string"==typeof a?[a]:void 0===a?Object.keys(e):a;const o={};for(const a of i)null===e[a]?o[a]=null:t(e[a])?o[a]=[...e[a]]:"object"!=typeof e[a]||e[a]instanceof Element||"computeEngine"===a?o[a]=e[a]:o[a]={...e[a]};return"string"==typeof a?o[a]:o}po({performWithFeedback:(e,t)=>function(e,t){e.focus(),e.options.keypressVibration&&r()&&navigator.vibrate(3),"moveToNextPlaceholder"===(t=t.replace(/-\w/g,(e=>e[1].toUpperCase())))||"moveToPreviousPlaceholder"===t||"complete"===t?e.playSound("return"):"deleteBackward"===t||"deleteForward"===t||"deletePreviousWord"===t||"deleteNextWord"===t||"deleteToGroupStart"===t||"deleteToGroupEnd"===t||"deleteToMathFieldStart"===t||"deleteToMathFieldEnd"===t?e.playSound("delete"):e.playSound("keypress");const a=e.executeCommand(t);return e.scrollIntoView(),a}(e,t)}),po({complete:Yi,nextSuggestion:function(e){return Gi(e,{atIndex:e.suggestionIndex+1}),!1},previousSuggestion:function(e){return Gi(e,{atIndex:e.suggestionIndex-1}),!1}},{target:"mathfield",category:"autocomplete"}),po({speak:(e,t,i)=>function(e,t,i){var o,r;i=null!=i?i:{withHighlighting:!1};const{model:n}=e,s=function(e){let t=null;switch(e){case"all":default:t=n.root;break;case"selection":t=n.getAtoms(n.selection);break;case"left":t=n.getAtoms(n.offsetOf(n.at(n.position).leftSibling),n.position);break;case"right":t=n.getAtoms(n.position,n.offsetOf(n.at(n.position).rightSibling));break;case"group":t=n.getAtoms(n.getSiblingsRange(n.position));break;case"parent":{const{parent:e}=n.at(n.position);t=e&&"root"!==e.type?e:n.root;break}}return t}(t);if(null===s)return null===(r=(o=e.options).speakHook)||void 0===r||r.call(o,function(e){let t="";switch(e){case"all":case"group":default:break;case"selection":t="no selection";break;case"left":t="at start";break;case"right":t="at end";break;case"parent":t="no parent"}return t}(t),e.options),!1;const l={...e.options};(i.withHighlighting||"amazon"===l.speechEngine)&&(l.textToSpeechMarkup=globalThis.sre&&"sre"===l.textToSpeechRules?"ssml_step":"ssml"),l.textToSpeechMarkup||/firefox/i.test(navigator.userAgent)||(l.textToSpeechMarkup="ssml");const d=ii(s,l);return a()&&i.withHighlighting?(qn().readAloudMathField=e,lo(e,{forHighlighting:!0}),e.options.readAloudHook&&e.options.readAloudHook(e.field,d,e.options)):e.options.speakHook&&e.options.speakHook(d,l),!1}(e,t,i)},{target:"mathfield",category:"speech"});const xo='<span style="width: 21px; margin-top: 4px;"><svg style="width: 21px;" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 576 512"><path d="M528 64H48C21.49 64 0 85.49 0 112v288c0 26.51 21.49 48 48 48h480c26.51 0 48-21.49 48-48V112c0-26.51-21.49-48-48-48zm16 336c0 8.823-7.177 16-16 16H48c-8.823 0-16-7.177-16-16V112c0-8.823 7.177-16 16-16h480c8.823 0 16 7.177 16 16v288zM168 268v-24c0-6.627-5.373-12-12-12h-24c-6.627 0-12 5.373-12 12v24c0 6.627 5.373 12 12 12h24c6.627 0 12-5.373 12-12zm96 0v-24c0-6.627-5.373-12-12-12h-24c-6.627 0-12 5.373-12 12v24c0 6.627 5.373 12 12 12h24c6.627 0 12-5.373 12-12zm96 0v-24c0-6.627-5.373-12-12-12h-24c-6.627 0-12 5.373-12 12v24c0 6.627 5.373 12 12 12h24c6.627 0 12-5.373 12-12zm96 0v-24c0-6.627-5.373-12-12-12h-24c-6.627 0-12 5.373-12 12v24c0 6.627 5.373 12 12 12h24c6.627 0 12-5.373 12-12zm-336 80v-24c0-6.627-5.373-12-12-12H84c-6.627 0-12 5.373-12 12v24c0 6.627 5.373 12 12 12h24c6.627 0 12-5.373 12-12zm384 0v-24c0-6.627-5.373-12-12-12h-24c-6.627 0-12 5.373-12 12v24c0 6.627 5.373 12 12 12h24c6.627 0 12-5.373 12-12zM120 188v-24c0-6.627-5.373-12-12-12H84c-6.627 0-12 5.373-12 12v24c0 6.627 5.373 12 12 12h24c6.627 0 12-5.373 12-12zm96 0v-24c0-6.627-5.373-12-12-12h-24c-6.627 0-12 5.373-12 12v24c0 6.627 5.373 12 12 12h24c6.627 0 12-5.373 12-12zm96 0v-24c0-6.627-5.373-12-12-12h-24c-6.627 0-12 5.373-12 12v24c0 6.627 5.373 12 12 12h24c6.627 0 12-5.373 12-12zm96 0v-24c0-6.627-5.373-12-12-12h-24c-6.627 0-12 5.373-12 12v24c0 6.627 5.373 12 12 12h24c6.627 0 12-5.373 12-12zm96 0v-24c0-6.627-5.373-12-12-12h-24c-6.627 0-12 5.373-12 12v24c0 6.627 5.373 12 12 12h24c6.627 0 12-5.373 12-12zm-96 152v-8c0-6.627-5.373-12-12-12H180c-6.627 0-12 5.373-12 12v8c0 6.627 5.373 12 12 12h216c6.627 0 12-5.373 12-12z"/></svg></span>';function wo(){var e,t,i;return{readOnly:!1,createHTML:e=>e,fontsDirectory:"./fonts",soundsDirectory:"./sounds",computeEngine:void 0,defaultMode:"math",macros:V(),registers:{},colorMap:y,backgroundColorMap:b,horizontalSpacingScale:1,letterShapeStyle:l.locale.startsWith("fr")?"french":"tex",smartMode:!1,smartFence:!0,smartSuperscript:!0,scriptDepth:[1/0,1/0],removeExtraneousParentheses:!0,mathModeSpace:"",decimalSeparator:".",fractionNavigationOrder:"numerator-denominator",placeholderSymbol:"\u25a2",enablePopover:!0,locale:l.locale,strings:l.strings,keybindings:qi,inlineShortcuts:Da,inlineShortcutTimeout:0,virtualKeyboardToggleGlyph:xo,virtualKeyboardMode:"auto",virtualKeyboards:"all",virtualKeyboardLayout:"auto",customVirtualKeyboardLayers:{},customVirtualKeyboards:{},virtualKeyboardTheme:a()&&/android|cros/i.test(navigator.userAgent)?"material":"apple",keypressVibration:!0,keypressSound:null,plonkSound:null,virtualKeyboardToolbar:"default",virtualKeyboardContainer:null!==(t=null===(e=globalThis.document)||void 0===e?void 0:e.body)&&void 0!==t?t:null,useSharedVirtualKeyboard:!1,sharedVirtualKeyboardTargetOrigin:null===(i=globalThis.window)||void 0===i?void 0:i.origin,originValidator:"same-origin",textToSpeechRules:"mathlive",textToSpeechMarkup:"",textToSpeechRulesOptions:{},speechEngine:"local",speechEngineVoice:"Joanna",speechEngineRate:"100%",speakHook:fo,readAloudHook:go,onInlineShortcut:()=>"",onExport:Oa,value:""}}function _o(e){return"inline-math"===e.defaultMode?"math":e.defaultMode}var So,Mo,Lo='@keyframes ML__caret-blink{0%,to{opacity:1}50%{opacity:0}}.ML__caret:after{animation:ML__caret-blink 1.05s step-end infinite forwards;border:none;border-radius:2px;border-right:2px solid var(--caret-color,var(--ML__caret-color));content:"";left:-1px;margin-right:-2px;position:relative}.ML__text-caret:after{animation:ML__caret-blink 1.05s step-end infinite forwards;border:none;border-radius:1px;border-right:1px solid var(--caret-color,var(--ML__caret-color));content:"";left:0;margin-right:-1px;position:relative}.ML__latex-caret:after{animation:ML__caret-blink 1.05s step-end infinite forwards;border:none;color:var(--caret-color,var(--ML__caret-color));content:"_";margin-right:calc(-1ex - 2px);position:relative}.ML__container{--ML__selection-background-color:hsl(var(--hue,212),97%,85%);--ML__text-highlight-background-color:hsla(var(--hue,212),40%,50%,0.1);--ML__contains-highlight-background-color:hsl(var(--hue,212),40%,95%);--ML__selection-color:currentColor;--ML__caret-color:hsl(var(--hue,212),40%,49%);--ML__smart-fence-color:currentColor;--ML__latex-color:var(--primary,hsl(var(--hue,212),40%,50%));--ML__placeholder-color:hsl(var(--hue,212),40%,49%);align-items:flex-end;display:flex;flex-flow:row;isolation:isolate;justify-content:space-between;min-height:39px;touch-action:none;width:100%}@media (prefers-color-scheme:dark){.ML__container{--ML__selection-background-color:hsl(var(--hue,212),25%,45%);--ML__text-highlight-background-color:hsla(var(--hue,212),40%,50%,0.2);--ML__contains-highlight-background-color:hsl(var(--hue,212),5%,34%);--ML__caret-color:hsl(var(--hue,212),60%,69%);--ML__latex-color:var(--primary,hsl(var(--hue,212),40%,50%));--ML__placeholder-color:hsl(var(--hue,212),60%,69%)}}.ML__content{align-items:center;align-self:center;display:flex;overflow:hidden;padding:2px 0 2px 1px;position:relative;width:100%}.ML__virtual-keyboard-toggle{box-sizing:border-box;display:none}.ML__virtual-keyboard-toggle>span{align-items:center;align-self:center;display:flex}.ML__virtual-keyboard-toggle.is-visible{fill:currentColor;align-items:center;align-self:center;background:transparent;border:1px solid transparent;border-radius:8px;color:var(--primary,hsl(var(--hue,212),40%,50%));cursor:pointer;display:flex;flex-direction:column;flex-shrink:0;height:34px;justify-content:center;margin-right:4px;padding:0;transition:background .2s cubic-bezier(.64,.09,.08,1);width:34px}.ML__virtual-keyboard-toggle.is-visible:hover{fill:currentColor;background:hsla(0,0%,70%,.5);border-radius:8px;color:#333}.ML__textarea__textarea{clip:rect(0 0 0 0);border:none;display:inline-block;font-family:KaTeX_Main;font-size:1em;height:1px;outline:none;position:absolute;resize:none;transform:scale(0);width:1px}.ML__focused .ML__text{background:var(--highlight-text,var(--ML__text-highlight-background-color))}.ML__smart-fence__close{color:var(--smart-fence-color,var(--ML__smart-fence-color));opacity:var(--smart-fence-opacity,.5)}.ML__focused .ML__selection{background:var(--selection-background-color-focused,var(--selection-background-color,var(--ML__selection-background-color)))!important}.ML__focused .ML__selected,.ML__focused .ML__selected .ML__contains-caret,.ML__focused .ML__selected .ML__placeholder,.ML__focused .ML__selected .ML__smart-fence__close{color:var(--selection-color-focused,var(--selection-color,var(--ML__selection-color)))!important}.ML__selection{background:var(--selection-background-color,var(--ML__selection-background-color))!important;box-sizing:border-box}.ML__selected,.ML__selected .ML__contains-caret,.ML__selected .ML__placeholder,.ML__selected .ML__smart-fence__close{color:var(--selection-color,var(--ML__selection-color));opacity:1}.ML__contains-caret .ML__sqrt-line,.ML__contains-caret .ML__sqrt-sign,.ML__contains-caret.ML__close,.ML__contains-caret.ML__open,.ML__contains-caret>.ML__close,.ML__contains-caret>.ML__open{color:var(--caret-color,var(--ML__caret-color))}.ML__contains-highlight{background:var(--contains-highlight-backround-color,var(--ML__contains-highlight));box-sizing:border-box}.ML__latex{color:var(--latex-color,var(--ML__latex-color));font-family:IBM Plex Mono,Source Code Pro,Consolas,Roboto Mono,Menlo,Bitstream Vera Sans Mono,DejaVu Sans Mono,Monaco,Courier,monospace;font-weight:400}.ML__suggestion{opacity:.5}.ML__virtual-keyboard-toggle.is-visible.is-pressed:hover{fill:currentColor;background:hsl(var(--hue,212),25%,35%);color:#fafafa}.ML__virtual-keyboard-toggle:focus{border:2px solid var(--primary,hsl(var(--hue,212),40%,50%));border-radius:8px;outline:none}.ML__virtual-keyboard-toggle.is-active,.ML__virtual-keyboard-toggle.is-active:hover,.ML__virtual-keyboard-toggle.is-pressed{fill:currentColor;background:hsl(var(--hue,212),25%,35%);color:#fafafa}.ML__tooltip-container{position:relative;transform:scale(0)}.ML__tooltip-container .ML__tooltip-content{background:#616161;border-radius:8px;box-shadow:0 2px 2px 0 rgba(0,0,0,.14),0 1px 5px 0 rgba(0,0,0,.12),0 3px 1px -2px rgba(0,0,0,.2);color:#fff;display:inline-table;max-width:400px;opacity:0;padding:12px;position:fixed;transition:opacity .15s cubic-bezier(.4,0,1,1);visibility:hidden;width:max-content;z-index:2}.ML__tooltip-container .ML__tooltip-content .ML__text{white-space:normal}.ML__tooltip-container .ML__tooltip-content .ML__base{display:contents}.ML__tooltip-container:hover .ML__tooltip-content{font-size:.75em;opacity:1;transform:scale(1) translateY(3em);visibility:visible}[data-ML__tooltip]{position:relative}[data-ML__tooltip][data-placement=top]:after{bottom:100%;top:inherit}[data-ML__tooltip]:after{background:#616161;border-radius:2px;box-shadow:0 2px 2px 0 rgba(0,0,0,.14),0 1px 5px 0 rgba(0,0,0,.12),0 3px 1px -2px rgba(0,0,0,.2);color:#fff;content:attr(data-ML__tooltip);display:none;font-family:system-ui,-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen,Ubuntu,Cantarell,Fira Sans,Droid Sans,Helvetica Neue,sans-serif;font-size:12px;font-weight:400;max-width:200px;opacity:0;padding:8px;position:absolute;right:110%;text-align:center;transform:scale(.5);transition:all .15s cubic-bezier(.4,0,1,1);width:max-content;z-index:2}@media only screen and (max-width:767px){[data-ML__tooltip]:after{font-size:16px;padding:8px 16px}}:not(.tracking) [data-ML__tooltip]:hover{position:relative}:not(.tracking) [data-ML__tooltip]:hover:after{display:inline-table;opacity:1;transform:scale(1);visibility:visible}[data-ML__tooltip][data-delay]:after{transition-delay:0s}[data-ML__tooltip][data-delay]:hover:after{transition-delay:1s}';let Co=null;function Ao(e){if(/^(?:[a-z+]+:)?\/\//i.test(e))return new URL(e).href;if(null===Co)try{const e=new XMLHttpRequest;e.open("HEAD",To,!1),e.send(null),200===e.status&&(Co=e.responseURL)}catch(e){}return Co?new URL(e,Co).href:""}const To=(null===(Mo=null===(So=null===globalThis||void 0===globalThis?void 0:globalThis.document)||void 0===So?void 0:So.currentScript)||void 0===Mo?void 0:Mo.src)||function(){const e=String((new Error).stack).replace(/^Error.*\n/,"").split("\n");if(0===e.length)return"";let t=e[1],a=t.match(/http.*\.ts[\?:]/);return a&&(t=e[2]),a=t.match(/(https?:.*):[0-9]+:[0-9]+/),a||(a=t.match(/at (.*(\.ts))[\?:]/),a||(a=t.match(/at (.*(\.mjs|\.js))[\?:]/))),a?a[1]:""}();async function Do(e){var t;if(a()&&!document.body.classList.contains("ML__fonts-loading")&&(null===(t=getComputedStyle(document.documentElement).getPropertyValue("--ML__static-fonts"))||void 0===t||!t)&&(document.body.classList.remove("ML__fonts-did-not-load"),"fonts"in document)){const t=["KaTeX_Main","KaTeX_Math","KaTeX_AMS","KaTeX_Caligraphic","KaTeX_Fraktur","KaTeX_SansSerif","KaTeX_Script","KaTeX_Typewriter","KaTeX_Size1","KaTeX_Size2","KaTeX_Size3","KaTeX_Size4"],a=Array.from(document.fonts).map((e=>e.family));if(t.every((e=>a.includes(e))))return;const i=Ao(null!=e?e:"./fonts");if(!i)return;document.body.classList.add("ML__fonts-loading");const o=[["KaTeX_Main-Regular"],["KaTeX_Main-BoldItalic",{style:"italic",weight:"bold"}],["KaTeX_Main-Bold",{weight:"bold"}],["KaTeX_Main-Italic",{style:"italic"}],["KaTeX_Math-Italic",{style:"italic"}],["KaTeX_Math-BoldItalic",{style:"italic",weight:"bold"}],["KaTeX_AMS-Regular"],["KaTeX_Caligraphic-Regular"],["KaTeX_Caligraphic-Bold",{weight:"bold"}],["KaTeX_Fraktur-Regular"],["KaTeX_Fraktur-Bold",{weight:"bold"}],["KaTeX_SansSerif-Regular",{style:"italic"}],["KaTeX_SansSerif-Bold",{weight:"bold"}],["KaTeX_SansSerif-Italic",{style:"italic"}],["KaTeX_Script-Regular"],["KaTeX_Typewriter-Regular"],["KaTeX_Size1-Regular"],["KaTeX_Size2-Regular"],["KaTeX_Size3-Regular"],["KaTeX_Size4-Regular"]].map((e=>function(e,t,a={}){return new FontFace(e,`url(${t}.woff2) format('woff2')`,a)}(e[0].replace(/-[a-zA-Z]+$/,""),i+"/"+e[0],e[1])));try{(await Promise.all(o.map((e=>{try{return e.load()}catch{}})))).forEach((e=>document.fonts.add(e)))}catch(e){document.body.classList.add("ML__fonts-did-not-load")}document.body.classList.remove("ML__fonts-loading")}}function zo(e){return"number"==typeof e&&!Number.isNaN(e)}function Bo(e){return Array.isArray(e)&&2===e.length}function Ko(e){return null!=e&&"object"==typeof e&&"ranges"in e&&Array.isArray(e.ranges)}const Eo={"\\ne":"\u2260","\\neq":"\u2260","\u2212":"-","-":"-","\\alpha":"alpha","\\beta":"beta","\\gamma":"gamma","\\delta":"delta","\\epsilon":"epsilon","\\varepsilon":"varepsilon","\\zeta":"zeta","\\eta":"eta","\\theta":"theta","\\vartheta":"vartheta","\\iota":"iota","\\kappa":"kappa","\\lambda":"lambda","\\mu":"mu","\\nu":"nu","\\xi":"xi","\\pi":"pi","\\rho":"rho","\\sigma":"sigma","\\tau":"tau","\\upsilon":"upsilon","\\phi":"phi","\\varphi":"varphi","\\chi":"chi","\\psi":"psi","\\omega":"omega","\\Gamma":"Gamma","\\Delta":"Delta","\\Theta":"Theta","\\Lambda":"Lambda","\\Xi":"Xi","\\Pi":"Pi","\\Sigma":"Sigma","\\Phi":"Phi","\\Psi":"Psi","\\Omega":"Omega","\\exponentialE":"e","\\imaginaryI":"i","\\imaginaryJ":"j","\\!":" ","\\,":" ","\\:":" ","\\;":" ","\\enskip":" ","\\enspace":" ","\\qquad":" ","\\quad":" "},qo={"\\pm":"+-","\\times":"xx","\\colon":":","\\vert":"|","\\Vert":"||","\\mid":"|","\\lbrace":"{","\\rbrace":"}","\\lparen":"(","\\rparen":")","\\langle":"(:","\\rangle":":)"};function $o(e){var a,i,o,r,n,s,l,d,c,u,p,h,m;if(!e)return"";if(t(e)){if(0===e.length)return"";if("first"===e[0].type&&(e=e.slice(1)),0===e.length)return"";let t="";if("latex"===e[0].mode)for(const a of e)t+=$o(a);else if("text"===e[0].mode){let i=0;for(t='"';"text"===(null===(a=e[i])||void 0===a?void 0:a.mode);)t+=e[i].body?$o(e[i].body):e[i].value,i++;t+='"'+$o(e.slice(i))}else if("math"===e[0].mode){let a=0;for(;e[a]&&"math"===e[a].mode;)t+=$o(e[a]),a++;t+=$o(e.slice(a))}return t.trim()}if("text"===e.mode)return'"'+e.value+'"';let f="";const{command:y}=e;let b;switch(e.type){case"first":return"";case"group":case"root":f=null!==(i=Eo[y])&&void 0!==i?i:$o(e.body);break;case"genfrac":{const t=e;(t.leftDelim||t.rightDelim)&&(f+="."!==t.leftDelim&&t.leftDelim?t.leftDelim:"{:"),t.hasBarLine?(f+="(",f+=$o(t.above),f+=")/(",f+=$o(t.below),f+=")"):(f+="("+$o(t.above)+"),",f+="("+$o(t.below)+")"),(t.leftDelim||t.rightDelim)&&(f+="."!==t.rightDelim&&t.rightDelim?t.rightDelim:"{:")}break;case"surd":f+=e.hasEmptyBranch("above")?"sqrt("+$o(e.body)+")":"root("+$o(e.above)+")("+$o(e.body)+")";break;case"latex":f=e.value;break;case"leftright":{const t=e;f+="."!==t.leftDelim&&t.leftDelim?t.leftDelim:"{:",f+=$o(t.body),f+="."!==t.rightDelim&&t.rightDelim?t.rightDelim:":}"}break;case"sizeddelim":case"delim":case"overlap":case"overunder":case"box":break;case"mord":f=null!==(r=null!==(o=Eo[y])&&void 0!==o?o:y)&&void 0!==r?r:"string"==typeof e.value?e.value:"",f.startsWith("\\")&&(f+=" "),b=y?y.match(/{?\\char"([\dabcdefABCDEF]*)}?/):null,b?f=String.fromCodePoint(Number.parseInt("0x"+b[1])):f.length>0&&f.startsWith("\\")&&(f="string"==typeof e.value?e.value.charAt(0):e.command);break;case"mbin":case"mrel":case"minner":f=null!==(s=null!==(n=Eo[y])&&void 0!==n?n:qo[y])&&void 0!==s?s:e.value;break;case"mopen":case"mclose":f+=e.value;break;case"mpunct":f=null!==(l=qo[y])&&void 0!==l?l:y;break;case"mop":"\u200b"!==e.value&&(f="",f+="\\operatorname"===y?$o(e.body):null!==(d=e.value)&&void 0!==d?d:y,f+=" ");break;case"array":const t=e.array,a=e.environmentName,g=null!==(c={bmatrix:["[","]"],"bmatrix*":["[","]"]}[a])&&void 0!==c?c:["(",")"],v=[];for(const e of t){const t=[];for(const a of e)t.push(g[0]+$o(a)+g[1]);v.push(t.join(","))}const k=null!==(u={bmatrix:["[","]"],"bmatrix*":["[","]"],cases:["{",":}"]}[a])&&void 0!==u?u:["(",")"];f=k[0]+v.join(",")+k[1];break;case"spacing":f=null!==(p=Eo[y])&&void 0!==p?p:" ";break;case"enclose":f="("+$o(e.body)+")";break;case"space":f=" ";break;case"msubsup":f="";break;case"macro":f=null!==(m=null!==(h=Eo[y])&&void 0!==h?h:qo[y])&&void 0!==m?m:$o(e.body)}if(!e.hasEmptyBranch("subscript")){f+="_";const t=$o(e.subscript);f+=t.length>1?"("+t+")":t}if(!e.hasEmptyBranch("superscript")){f+="^";const t=$o(e.superscript);f+=t.length>1?"("+t+")":t}return f}function Oo(e){let t;if("body"===e.treeBranch)t={enclose:"cross out",leftright:"delimiter",surd:"square root",root:"math field",mop:"operator"}[e.type];else if("genfrac"===e.parent.type){if("above"===e.treeBranch)return"numerator";if("below"===e.treeBranch)return"denominator"}else"surd"===e.parent.type?"above"===e.treeBranch&&(t="index"):"superscript"===e.treeBranch?t="superscript":"subscript"===e.treeBranch&&(t="subscript");return null!=t?t:"parent"}class No{constructor(e,t,a){this.options=e,this._selection={ranges:[[0,0]],direction:"none"},this._anchor=0,this._position=0,this.mathfield=a,this.suppressChangeNotifications=!1,this.root=new dt("root",a,{mode:e.mode}),this.root.body=[],this.setListeners(t)}get atoms(){return this.root.children}get selection(){return this._selection}set selection(e){this.setSelection(e)}setSelection(e,t){return this.deferNotifications({selection:!0},(()=>{const a=this.normalizeSelection(e,t);if(void 0===a)throw new TypeError("Invalid selection");if(1===a.ranges.length&&a.ranges[0][0]===a.ranges[0][1]){const e=a.ranges[0][0];this._position=e,this._anchor=e,this._selection=a}else{const e=Aa(a);"backward"===a.direction?[this._position,this._anchor]=e:[this._anchor,this._position]=e;const t=this.at(e[0]+1),i=this.at(e[1]),o=dt.commonAncestor(t,i);"array"===(null==o?void 0:o.type)&&t.parent===o&&i.parent,this._selection={ranges:[e],direction:a.direction}}}))}setPositionHandlingPlaceholder(e){var t,a,i;"placeholder"===(null===(t=this.at(e))||void 0===t?void 0:t.type)?this.setSelection(e-1,e):"placeholder"===(null===(i=null===(a=this.at(e))||void 0===a?void 0:a.rightSibling)||void 0===i?void 0:i.type)?this.setSelection(e,e+1):this.position=e}getState(){return{content:this.root.toJson(),selection:this.selection}}setState(e,t){var a;const i=this.suppressChangeNotifications;this.suppressChangeNotifications=null===(a=null==t?void 0:t.suppressChangeNotifications)||void 0===a||a;let o={};"undo"===(null==t?void 0:t.type)&&(o={inputType:"historyUndo"}),"redo"===(null==t?void 0:t.type)&&(o={inputType:"historyRedo"}),ji(this,o)&&(this.root=va(e.content,this.mathfield),this.selection=e.selection,Wi(this,o)),this.suppressChangeNotifications=i}get position(){return this._position}set position(e){this.setSelection(e,e)}get anchor(){return this._anchor}get selectionIsCollapsed(){return this._anchor===this._position}get selectionIsPlaceholder(){return 1===Math.abs(this._anchor-this._position)&&"placeholder"===this.at(Math.max(this._anchor,this._position)).type}collapseSelection(e="forward"){return this._anchor!==this._position&&(this.position="backward"===e?Math.min(this._anchor,this._position):Math.max(this._anchor,this._position),!0)}get lastOffset(){return this.atoms.length-1}at(e){return this.atoms[e]}offsetOf(e){return this.atoms.indexOf(e)}getSiblingsRange(e){const t=this.at(e),{parent:a}=t;if(!a)return[0,this.lastOffset];const i=t.parent.branch(t.treeBranch);return[this.offsetOf(i[0]),this.offsetOf(i[i.length-1])]}getBranchRange(e,t){const a=this.at(e).branch(t);return[this.offsetOf(a[0]),this.offsetOf(a[a.length-1])]}getAtoms(e,t,a){var i,o;let r,n,s=null!=a?a:{};if(Ko(e)){if(s=null!==(i=t)&&void 0!==i?i:{},e.ranges.length>1)return e.ranges.reduce(((e,t)=>[...e,...this.getAtoms(t,s)]),[]);e=e.ranges[0]}if(zo(e)){if(r=e,!zo(t))return[];n=t}else[r,n]=e,s=null!==(o=t)&&void 0!==o?o:{};if(!Number.isFinite(r))return[];void 0===s.includeChildren&&(s.includeChildren=!1),r<0&&(r=this.lastOffset-r+1),n<0&&(n=this.lastOffset-n+1);const l=Math.min(r,n)+1,d=Math.max(r,n);if(1===l&&d===this.lastOffset)return[this.root];let c=[];for(let e=l;e<=d;e++){const t=this.atoms[e];Fo(this,t,l,d)&&c.push(t)}return s.includeChildren||(c=c.filter((e=>{let t=!1,{parent:a}=e;for(;a&&!t;)t=Fo(this,a,l,d),a=a.parent;return!t}))),c}getAllAtoms(e){const t=[],a=this.lastOffset;for(let i=e;i<=a;i++)t.push(this.atoms[i]);for(let a=0;a<e;a++)t.push(this.atoms[a]);return t}extractAtoms(e){let t=this.getAtoms(e);1===t.length&&"root"===t[0].type&&(t=t[0].children);for(const e of t)e.parent.removeChild(e);return t}deleteAtoms(e){this.extractAtoms(e),this.position=e[0]}atomToString(e,t){const a=null!=t?t:"latex";if(a.startsWith("latex"))return Be.serialize([e],{expandMacro:"latex-expanded"===a,skipStyles:"latex-unstyled"===a,defaultMode:this.mathfield.options.defaultMode});if("math-ml"===a)return Xa(e,this.mathfield.options);if("spoken"===a)return ii(e,this.mathfield.options);if("spoken-text"===a){const t=this.mathfield.options.textToSpeechMarkup;this.mathfield.options.textToSpeechMarkup="";const a=ii(e,this.mathfield.options);return this.mathfield.options.textToSpeechMarkup=t,a}if("spoken-ssml"===a||"spoken-ssml-with-highlighting"===a){const t=this.mathfield.options.textToSpeechMarkup;this.mathfield.options.textToSpeechMarkup="ssml";const a=ii(e,this.mathfield.options);return this.mathfield.options.textToSpeechMarkup=t,a}if("math-json"===a){if(!this.mathfield.computeEngine)return"";try{const t=this.mathfield.computeEngine.parse(dt.serialize(e,{expandMacro:!1,defaultMode:"math"}));return JSON.stringify(t.json)}catch(e){return JSON.stringify(["Error","Nothing",`'${e.toString()}'`])}}return"ascii-math"===a?$o(e):""}getValue(e,t,a){if(void 0===e)return this.atomToString(this.root,"latex");if("string"==typeof e)return this.atomToString(this.root,e);let i,o;if(zo(e)&&zo(t)?(i=[this.normalizeRange([e,t])],o=null!=a?a:"latex"):Bo(e)?(i=[this.normalizeRange(e)],o=t):Ko(e)?(i=e.ranges,o=t):(i=[],o="latex"),o.startsWith("latex")){const e={expandMacro:"latex-expanded"===o,skipStyles:"latex-unstyled"===o,defaultMode:this.mathfield.options.defaultMode};return it(i.map((t=>dt.serialize(this.getAtoms(t),e))))}return i.map((e=>this.getAtoms(e).map((e=>this.atomToString(e,o))).join(""))).join("")}extendSelection(e){let t=this._anchor;if("forward"===e){let e=this._position;do{let t=this.at(e+1);if(null==t?void 0:t.inCaptureSelection){for(;!t.captureSelection;)t=t.parent;e=this.offsetOf(null==t?void 0:t.lastChild)+1}else e+=1}while(e<=this.lastOffset&&this.at(e).isFirstSibling);return e===t-1&&"first"===this.at(t).type&&(e=t),this.extendSelectionTo(t,e)}let a=this._position-1;if(a<0)return!1;for(;a>=0&&this.at(a).isLastSibling;){let e=this.at(a);if(null==e?void 0:e.inCaptureSelection){for(;!e.captureSelection;)e=e.parent;a=this.offsetOf(e.firstChild)-1}else a-=1}return a<0&&(a=0),a===t+1&&"first"===this.at(a).type&&(t=a),this.extendSelectionTo(t,a)}extendSelectionTo(e,t){return this.deferNotifications({selection:!0},(()=>{const a=this.normalizeRange([e,t]);let[i,o]=a,{parent:r}=this.at(o);if(r&&("genfrac"===r.type||"msubsup"===r.type))for(;r!==this.root&&Po(this,r,[i,o]);)o=this.offsetOf(r),r=r.parent;for(r=this.at(i).parent;r!==this.root&&Po(this,r,[i,o]);)i=this.offsetOf(r.leftSibling),r=r.parent;if(r=this.at(o).parent,"genfrac"===(null==r?void 0:r.type))for(;r!==this.root&&Po(this,r,[i,o]);)o=this.offsetOf(r),r=r.parent;this._position=this.normalizeOffset(t),this._selection={ranges:[[i,o]],direction:"none"}}))}setListeners(e){this.listeners=e}announce(e,t,a=[]){var i,o;null===(o=null===(i=this.mathfield.host)||void 0===i?void 0:i.dispatchEvent(new CustomEvent("announce",{detail:{command:e,previousPosition:t,atoms:a},cancelable:!0,bubbles:!0,composed:!0})))||void 0===o||o||function(e,t,a,i){let o="";"plonk"===t?(e.playSound("plonk"),e.flushInlineShortcutBuffer()):"delete"===t?o=mo(e.options,"deleted: ",i):"focus"===t||t.includes("move")?o=function(e,t){if(Number.isNaN(t))return"";const a=e.at(t);if(!a)return"";if(a.treeDepth<=e.at(e.position).treeDepth)return"";let i="",o=a.parent;const r=e.at(e.position).parent;for(;o!==e.root&&o!==r;)i+=`out of ${Oo(o)};`,o=o.parent;return i}(e.model,a)+(e.model.selectionIsCollapsed?"":"selected: ")+function(e,t){if(!e.selectionIsCollapsed)return mo(t,"",e.getAtoms(e.selection));let a="";const i=e.at(e.position),o=Oo(i);return i.isFirstSibling&&(a=(o?"start of "+o:"unknown")+": "),i.isLastSibling?i.isFirstSibling||(a+=o?"end of "+o:"unknown"):a+=mo(t,"",i),a}(e.model,e.options):"replacement"===t?o=mo(e.options,"",e.model.at(e.model.position)):"line"===t?(o=mo(e.options,"",e.model.root),e.keyboardDelegate.setAriaLabel("after: "+o)):o=i?mo(e.options,t+" ",i):t;const r=e.ariaLiveText.textContent.includes("\xa0")?" \u202f ":" \xa0 ";e.ariaLiveText.textContent=o+r}(this.mathfield,e,t,a)}deferNotifications(e,t){const a=this._selection,i=this._anchor,o=this._position,r=this.suppressChangeNotifications;this.suppressChangeNotifications=!0;const n=this.root.changeCounter;t();const s=this.root.changeCounter!==n,l=i!==this._anchor||o!==this._position||"different"===function(e,t){if(e.direction===t.direction){const a=e.ranges.length;if(t.ranges.length===a){let i=0;for(;i<a&&"equal"===Ca(e.ranges[i],t.ranges[i]);)i++;return i===a?"equal":"different"}}return"different"}(this._selection,a);return this.suppressChangeNotifications=r,e.content&&s&&Wi(this,{data:e.data,inputType:e.type}),e.selection&&l&&Hi(this),s||l}normalizeOffset(e){return e>0?e=Math.min(e,this.lastOffset):e<0&&(e=this.lastOffset+e+1),e}normalizeRange(e){let[t,a]=e;return t=this.normalizeOffset(t),a=this.normalizeOffset(a),t<a?[t,a]:[a,t]}normalizeSelection(e,t){var a;let i;if(zo(e)){const a=this.normalizeOffset(e);if(zo(t)){const e=this.normalizeOffset(t);i=a<=e?{ranges:[[a,e]],direction:"none"}:{ranges:[[e,a]],direction:"backward"}}else i={ranges:[[a,a]],direction:"none"}}else if(Bo(e)){const t=this.normalizeOffset(e[0]),a=this.normalizeOffset(e[1]);i=t<=a?{ranges:[[t,a]],direction:"none"}:{ranges:[[a,t]],direction:"backward"}}else Ko(e)&&(i={ranges:e.ranges.map((e=>this.normalizeRange(e))),direction:null!==(a=e.direction)&&void 0!==a?a:"none"});return i}}function Fo(e,t,a,i){const o=e.offsetOf(t);if(o<a||o>i)return!1;if(!t.hasChildren)return!0;const r=e.offsetOf(t.firstChild);if(r>=a&&r<=i){const o=e.offsetOf(t.lastChild);if(o>=a&&o<=i)return!0}return!1}function Po(e,t,a){if(!(null==t?void 0:t.hasChildren))return!1;const[i,o]=a,r=e.offsetOf(t.firstChild),n=e.offsetOf(t.lastChild);return r>=i&&r<=o&&n>=r&&n<=o}function Ro(e,t){let a=e.at(e.position);for(;a&&!(Array.isArray(a.treeBranch)&&a.parent instanceof Ht);)a=a.parent;if(Array.isArray(null==a?void 0:a.treeBranch)&&(null==a?void 0:a.parent)instanceof Ht){const i=a.parent;let o;switch(t){case"after row":i.addRowAfter(a.treeBranch[0]),o=e.offsetOf(i.getCell(a.treeBranch[0]+1,0)[0]);break;case"after column":if(i.maxColumns<=i.colCount)return void e.announce("plonk");i.addColumnAfter(a.treeBranch[1]),o=e.offsetOf(i.getCell(a.treeBranch[0],a.treeBranch[1]+1)[0]);break;case"before row":i.addRowBefore(a.treeBranch[0]),o=e.offsetOf(i.getCell(a.treeBranch[0]-1,0)[0]);break;case"before column":if(i.maxColumns<=i.colCount)return void e.announce("plonk");i.addColumnBefore(a.treeBranch[1]),o=e.offsetOf(i.getCell(a.treeBranch[0],a.treeBranch[1]-1)[0])}e.setSelection(o,o+1)}}function Io(e){return!!ji(e,{inputType:"insertText"})&&(Ro(e,"after row"),Wi(e,{inputType:"insertText"}),!0)}function Vo(e){return!!ji(e,{inputType:"insertText"})&&(Ro(e,"after column"),Wi(e,{inputType:"insertText"}),!0)}function Ho(e,t){let a=e.at(e.position);for(;a&&!(Array.isArray(a.treeBranch)&&a.parent instanceof Ht);)a=a.parent;if(Array.isArray(null==a?void 0:a.treeBranch)&&(null==a?void 0:a.parent)instanceof Ht){const i=a.parent,o=a.treeBranch;let r;switch(t){case"row":if(i.rowCount>1){i.removeRow(o[0]);const t=i.getCell(Math.max(0,o[0]-1),o[1]);r=e.offsetOf(t[t.length-1])}break;case"column":if(i.colCount>i.minColumns){i.removeColumn(o[1]);const t=i.getCell(o[0],Math.max(0,o[1]-1));r=e.offsetOf(t[t.length-1])}}r&&e.setPositionHandlingPlaceholder(r)}}function jo(e,t,a,i){var o,r,n,s,l,d;const c=a.parent;if(a instanceof zt){const o=!i&&"forward"===t||"body"===i&&"backward"===t;let r=o?e.offsetOf(a.firstChild):e.offsetOf(a.lastChild);return o?"?"!==a.rightDelim&&"."!==a.rightDelim?(a.leftDelim=".",a.isDirty=!0):(c.addChildrenAfter(a.removeBranch("body"),a),c.removeChild(a),r--):"?"!==a.leftDelim&&"."!==a.leftDelim?(a.rightDelim=".",a.isDirty=!0):(c.addChildrenAfter(a.removeBranch("body"),a),c.removeChild(a),r--),e.position=r,!0}if("surd"===a.type){if("forward"===t&&!i||"backward"===t&&"body"===i){const t=a.leftSibling;a.hasChildren&&c.addChildrenAfter(a.removeBranch("body"),a),c.removeChild(a),e.position=e.offsetOf(t)}else"forward"===t&&"body"===i?e.position=e.offsetOf(a):i||"backward"!==t?"above"===i&&(a.hasEmptyBranch("above")&&a.removeBranch("above"),e.position="backward"===t?e.offsetOf(a.leftSibling):e.offsetOf(a.body[0])):a.hasChildren?e.position=e.offsetOf(a.lastChild):(e.position=Math.max(0,e.offsetOf(a)-1),c.removeChild(a));return!0}if("box"===a.type||"enclose"===a.type){const o=i&&"backward"===t||!i&&"forward"===t?a.leftSibling:a.lastChild;return c.addChildrenAfter(a.removeBranch("body"),a),c.removeChild(a),e.position=e.offsetOf(o),!0}if("genfrac"===a.type||"overunder"===a.type){if(!i)return!("overunder"===a.type&&a.hasEmptyBranch("body")||"genfrac"===a.type&&a.hasEmptyBranch("below")&&a.hasEmptyBranch("above")||(e.position=e.offsetOf("forward"===t?a.firstChild:a.lastChild),0));const o="numerator-denominator"===a.context.fractionNavigationOrder?"above":"below",r="above"===o?"below":"above";if("forward"===t&&i===o||"backward"===t&&i===r){const t=a.removeBranch(o),i=a.removeBranch(r);return c.addChildrenAfter([...t,...i],a),c.removeChild(a),e.position=e.offsetOf(t.length>0?t[t.length-1]:i[0]),!0}return"backward"===t?(e.position=e.offsetOf(a.leftSibling),!0):(e.position=e.offsetOf(a),!0)}if(a.isExtensibleSymbol||"msubsup"===a.type){if(!i&&"forward"===t)return!1;if(!i){if(a.subscript||a.superscript){const i="forward"===t?null!==(r=null===(o=a.superscript)||void 0===o?void 0:o[0])&&void 0!==r?r:null===(n=a.subscript)||void 0===n?void 0:n[0]:null!==(l=null===(s=a.subscript)||void 0===s?void 0:s[0].lastSibling)&&void 0!==l?l:null===(d=a.superscript)||void 0===d?void 0:d[0].lastSibling;return i&&(e.position=e.offsetOf(i)),!0}return!1}if(i&&a.hasEmptyBranch(i)&&a.removeBranch(i),!a.hasChildren){const i="forward"===t?e.offsetOf(a):Math.max(0,e.offsetOf(a)-1);return a.parent.removeChild(a),e.position=i,!0}if("superscript"===i)if("backward"===t){const t=e.offsetOf(a.firstChild)-1;e.position=t}else a.subscript?e.position=e.offsetOf(a.subscript[0]):e.position=e.offsetOf(a);else"subscript"===i&&("backward"===t&&a.superscript?e.position=e.offsetOf(a.superscript[0].lastSibling):e.position="backward"===t?e.offsetOf(a.firstChild)-1:e.offsetOf(a));return!0}return!1}function Wo(e,t,a){const i=e.getAtoms(t);if(i.length>0&&i[0].parent){let a=i[0].parent.firstChild;"first"===a.type&&(a=a.rightSibling);const o=i[i.length-1].parent.lastChild;let r=i[0];"first"===r.type&&(r=r.rightSibling);const n=i[i.length-1];if(r===a&&n===o){const a=i[0].parent;"root"!==a.type&&(t=[e.offsetOf(a.leftSibling),e.offsetOf(a.rightSibling)])}}return e.deferNotifications({content:!0,selection:!0,type:a},(()=>e.deleteAtoms(t)))}function Jo(e,t){const a=e.at(t);let i;if(a){i=a.mode;let e=a.parent;for(;!i&&e;)e&&(i=e.mode),e=e.parent}return i}function Uo(e,a){e&&a&&(t(e)?e.forEach((e=>Uo(e,a))):"object"==typeof e&&(e.style.color||e.style.backgroundColor||e.style.fontFamily||e.style.fontShape||e.style.fontSeries||e.style.fontSize||e.style.variant||e.style.variantStyle||(e.applyStyle(a),Uo(e.body,a),Uo(e.above,a),Uo(e.below,a),Uo(e.subscript,a),Uo(e.superscript,a))))}function Xo(e,t,a,i){function o(e,t){for(const a of r)if(a.style[e]!==t)return!1;return!0}if((t=e.normalizeRange(t))[0]===t[1])return!1;const r=e.getAtoms(t,{includeChildren:!0});"toggle"===i.operation&&(a.color&&o("color",a.color)&&(a.color="none",a.verbatimColor=void 0),a.backgroundColor&&o("backgroundColor",a.backgroundColor)&&(a.backgroundColor="none",a.verbatimBackgroundColor=void 0),a.fontFamily&&o("fontFamily",a.fontFamily)&&(a.fontFamily="none"),a.fontSeries&&o("fontSeries",a.fontSeries)&&(a.fontSeries="auto"),a.fontShape&&o("fontShape",a.fontShape)&&(a.fontShape="auto"),a.fontSize&&o("fontSize",a.fontSize)&&(a.fontSize=5));for(const e of r)e.applyStyle(a);return!0}function Go(e,t,a){if("text"!==e.at(t).mode)return t;const i="backward"===a?-1:1;let o;if(T.test(e.at(t).value)){let a,r=t;do{a="text"===e.at(r).mode&&T.test(e.at(r).value),r+=i}while(e.at(r)&&a);o=e.at(r)?r-2*i:r-i}else if(/\s/.test(e.at(t).value)){let a=t;for(;e.at(a)&&"text"===e.at(a).mode&&/\s/.test(e.at(a).value);)a+=i;if(e.at(a)){let t=!0;do{t="text"===e.at(a).mode&&!/\s/.test(e.at(a).value),a+=i}while(e.at(a)&&t);o=e.at(a)?a-2*i:a-i}else o=a-i}else{let a=t;for(;e.at(a)&&"text"===e.at(a).mode&&!/\s/.test(e.at(a).value);)a+=i;o=e.at(a)?a:a-i;let r=!0;for(;e.at(a)&&r;)r="text"===e.at(a).mode&&/\s/.test(e.at(a).value),r&&(o=a),a+=i;o=e.at(a)?a-2*i:a-i}return o-(i>0?0:1)}function Zo(e,t,a){var i,o,r,n,s,l,d;const c=e.position;null!==(i=null==a?void 0:a.extend)&&void 0!==i&&i||e.collapseSelection(t);let u=e.at(e.position);if("forward"===t&&("msubsup"===u.type?(u=u.rightSibling,u||(u=e.at(e.position+1))):u=e.at(e.position+1)),!u)return e.announce("plonk"),!1;let p=e.offsetOf(u);if(u instanceof $t)p=Go(e,p,t);else if(u instanceof aa)if(u.isSuggestion)for(;u&&u instanceof aa;)u.isSuggestion=!1,p=e.offsetOf(u),u=u.rightSibling;else if("forward"===t){if(u=u.rightSibling,!(u&&u instanceof aa))return e.announce("plonk"),!1;for(;u&&u instanceof aa&&/[a-zA-Z\*]/.test(u.value);)p=e.offsetOf(u),u=u.rightSibling}else{if(u=u.leftSibling,!(u&&u instanceof aa))return e.announce("plonk"),!1;for(;u&&u instanceof aa&&/[a-zA-Z\*]/.test(u.value);)p=e.offsetOf(u),u=u.leftSibling}else if("forward"===t&&"mopen"===u.type){let t=0;do{"mopen"===u.type?t+=1:"mclose"===u.type&&(t-=1),u=u.rightSibling}while(!u.isLastSibling&&0!==t);p=e.offsetOf(u.leftSibling)}else if("backward"===t&&"mclose"===u.type){let t=0;do{"mopen"===u.type?t+=1:"mclose"===u.type&&(t-=1),u=u.leftSibling}while(!u.isFirstSibling&&0!==t);p=e.offsetOf(u)}else if("backward"===t)if("first"===u.type)for(;p>0&&"first"===u.type;)p-=1,u=e.at(p);else{const t=u.type;"msubsup"===u.type&&(p=e.offsetOf(e.at(p).leftSibling)),p-=1;let a=null===(o=e.at(p))||void 0===o?void 0:o.type;for(;p>=0&&a===t;)"msubsup"===(null===(r=e.at(p))||void 0===r?void 0:r.type)?p=e.offsetOf(e.at(p).leftSibling):p-=1,a=e.at(p).type}else{const{type:t}=u;let a=null===(n=e.at(p))||void 0===n?void 0:n.type;const{lastOffset:i}=e;for(;p<=i&&(a===t||"msubsup"===a);){for(;"msubsup"===(null===(s=e.at(p).rightSibling)||void 0===s?void 0:s.type);)p=e.offsetOf(e.at(p).rightSibling);p+=1,a=null===(l=e.at(p))||void 0===l?void 0:l.type}p-=1}if(null!==(d=null==a?void 0:a.extend)&&void 0!==d&&d){if(!e.setSelection(e.anchor,p))return e.announce("plonk"),!1}else{if(p===e.position)return e.announce("plonk"),!1;e.position=p}return e.announce("move",c),!0}function Yo(e,t,a){var i,o,r,n,s,l,d,c;if(a=null!=a?a:{extend:!1},"forward"!==t){const[t,a]=Ui(e);void 0!==t&&void 0!==a&&e.deleteAtoms([t,a])}if("upward"===t)return function(e,t){var a,i,o,r;const n=null!==(a=null==t?void 0:t.extend)&&void 0!==a&&a;n||e.collapseSelection("backward");const s=e.at(e.position);let l=s;for(;l&&"below"!==l.treeBranch&&!(Array.isArray(l.treeBranch)&&l.parent instanceof Ht);)l=l.parent;if(Array.isArray(null==l?void 0:l.treeBranch)&&l.parent instanceof Ht){const t=l.parent,a=Math.max(0,l.treeBranch[0]-1);Qo(e,s,t.array[a][l.treeBranch[1]],n,"up")}else{if(!l){let t=!0;return e.suppressChangeNotifications||(t=null===(r=null===(o=e.mathfield.host)||void 0===o?void 0:o.dispatchEvent(new CustomEvent("move-out",{detail:{direction:"upward"},cancelable:!0,bubbles:!0,composed:!0})))||void 0===r||r),e.announce(t?"plonk":"line"),t}Qo(e,s,null!==(i=l.parent.branch("above"))&&void 0!==i?i:l.parent.createBranch("above"),n,"up")}return!0}(e,a);if("downward"===t)return function(e,t){var a,i,o,r;const n=null!==(a=null==t?void 0:t.extend)&&void 0!==a&&a;n||e.collapseSelection("forward");const s=e.at(e.position);let l=s;for(;l&&"above"!==l.treeBranch&&!(Array.isArray(l.treeBranch)&&l.parent instanceof Ht);)l=l.parent;if(Array.isArray(null==l?void 0:l.treeBranch)&&l.parent instanceof Ht){const t=l.parent,a=Math.min(t.array.length-1,l.treeBranch[0]+1);Qo(e,s,t.array[a][l.treeBranch[1]],n,"down")}else{if(!l){let t=!0;return e.suppressChangeNotifications||(t=null===(r=null===(o=e.mathfield.host)||void 0===o?void 0:o.dispatchEvent(new CustomEvent("move-out",{detail:{direction:"downward"},cancelable:!0,bubbles:!0,composed:!0})))||void 0===r||r),e.announce(t?"plonk":"line"),t}Qo(e,s,null!==(i=l.parent.branch("below"))&&void 0!==i?i:l.parent.createBranch("below"),n,"down")}return!0}(e,a);const u=e.position;if(a.extend)return e.extendSelection(t);if(e.selectionIsPlaceholder)return e.collapseSelection(t),Yo(e,t);if(!e.collapseSelection(t)){let u=e.position+("forward"===t?1:-1),p=e.at(u);if(u>=0&&u<=e.lastOffset)if("forward"===t)if(p.inCaptureSelection){for(;!p.captureSelection;)p=p.parent;u=e.offsetOf(p)}else if(!p.isFirstSibling&&p.isLastSibling&&(null===(i=p.parent)||void 0===i?void 0:i.skipBoundary)){if(u+1!==e.lastOffset)return e.position=u,Yo(e,"forward",a);u+=1}else(null===(o=p.parent)||void 0===o?void 0:o.skipBoundary)&&(null===(r=p.rightSibling)||void 0===r?void 0:r.isLastSibling)?u+=2:(null===(n=p.parent)||void 0===n?void 0:n.skipBoundary)&&"first"===p.type?u+=1:p instanceof aa&&p.isSuggestion&&(p.isSuggestion=!1);else if("backward"===t)if(null===(s=p.parent)||void 0===s?void 0:s.inCaptureSelection){for(;!p.captureSelection;)p=p.parent;u=Math.max(0,e.offsetOf(p.leftSibling))}else(p.skipBoundary||(null===(l=p.parent)||void 0===l?void 0:l.skipBoundary)&&"first"===p.type)&&(u=Math.max(0,e.position-2));if(u<0||u>e.lastOffset){let a=!0;return e.suppressChangeNotifications||(a=null===(c=null===(d=e.mathfield.host)||void 0===d?void 0:d.dispatchEvent(new CustomEvent("move-out",{detail:{direction:t},cancelable:!0,bubbles:!0,composed:!0})))||void 0===c||c),a&&e.announce("plonk"),a}e.setPositionHandlingPlaceholder(u)}return e.announce("move",u),!0}function Qo(e,t,a,i,o){const r=yi(e.mathfield.getHTMLElement(t)).right,n=e.offsetOf(function(e,t,a){let i=1/0,o=0;for(;o<t.length;o++){const r=yi(e.getHTMLElement(t[o])).right,n=Math.abs(a-r);if(!(n<=i))break;i=n}return t[o-1]}(e.mathfield,a,r));if(i){const[t,a]=e.selection.ranges[0];let i;i=n<("up"===o?t:a)?{ranges:[[n,a]],direction:"backward"}:{ranges:[[t,n]],direction:"forward"},e.setSelection(i)}else e.setPositionHandlingPlaceholder(n);e.announce(`move ${o}`)}function er(e){const t=e.position,a=e.at(t).parent;return a&&"root"!==a.type?(e.position=e.offsetOf(a),e.announce("move",t),!0):(e.announce("plonk"),!1)}function tr(e){var t;if(e.collapseSelection(),function(e){let t=0,a=e.at(e.position),i=!1;for(;a;)a.hasEmptyBranch("superscript")&&a.hasEmptyBranch("subscript")||(t+=1),a.hasEmptyBranch("superscript")?a.hasEmptyBranch("subscript")||(i=!1):i=!0,a=a.parent;return i?t:0}(e)>=e.mathfield.options.scriptDepth[1])return e.announce("plonk"),!1;let a=e.at(e.position);return void 0===a.subsupPlacement&&("msubsup"!==(null===(t=a.rightSibling)||void 0===t?void 0:t.type)&&a.parent.addChildAfter(new Bt(e.mathfield,{style:a.computedStyle}),a),a=a.rightSibling),a.createBranch("superscript"),e.setSelection(e.getSiblingsRange(e.offsetOf(a.superscript[0]))),!0}function ar(e){var t;if(e.collapseSelection(),function(e){let t=0,a=e.at(e.position),i=!1;for(;a;)a.hasEmptyBranch("superscript")&&a.hasEmptyBranch("subscript")||(t+=1),a.hasEmptyBranch("superscript")?a.hasEmptyBranch("subscript")||(i=!0):i=!1,a=a.parent;return i?t:0}(e)>=e.mathfield.options.scriptDepth[0])return e.announce("plonk"),!1;let a=e.at(e.position);return void 0===a.subsupPlacement&&("msubsup"!==(null===(t=e.at(e.position+1))||void 0===t?void 0:t.type)&&a.parent.addChildAfter(new Bt(e.mathfield,{style:e.at(e.position).computedStyle}),a),a=e.at(e.position+1)),a.createBranch("subscript"),e.setSelection(e.getSiblingsRange(e.offsetOf(a.subscript[0]))),!0}function ir(e,t,i=!0){var o,r;const n="forward"===t?1:-1;"placeholder"===e.at(e.anchor).type&&Yo(e,t);const s=e.getAllAtoms(Math.max(e.position+n,0));"backward"===t&&s.reverse();const l=s.filter((e=>"placeholder"===e.type||e.treeDepth>2&&e.isFirstSibling&&e.isLastSibling));if(0===l.length){if(!i||null!==(r=null===(o=e.mathfield.host)||void 0===o?void 0:o.dispatchEvent(new CustomEvent("focus-out",{detail:{direction:t},cancelable:!0,bubbles:!0,composed:!0})))&&void 0!==r&&!r)return e.announce("plonk"),!1;const s=function(){function e(e){return!((i=e).disabled||"hidden"===i.type&&"INPUT"===i.tagName.toUpperCase()||function(e){if(!a()||e===document.activeElement||e.contains(document.activeElement))return!1;if("hidden"===getComputedStyle(e).visibility)return!0;const t=e.getBoundingClientRect();if(0===t.width||0===t.height)return!0;for(;e;){if("none"===getComputedStyle(e).display)return!0;e=e.parentElement}return!1}(i)||function(e){return"INPUT"===e.tagName.toUpperCase()&&"radio"===e.type&&!function(e){var t;if(!e.name)return!0;const a=function(e,t){for(const a of e)if(a.checked&&a.form===t)return a;return null}((null!==(t=e.form)&&void 0!==t?t:e.ownerDocument).querySelectorAll('input[type="radio"][name="'+e.name+'"]'),e.form);return!a||a===e}(e)}(e)||t(e)<0);var i}function t(e){var t;const a=Number.parseInt(null!==(t=e.getAttribute("tabindex"))&&void 0!==t?t:"NaN",10);return Number.isNaN(a)?"true"===e.contentEditable?0:"AUDIO"!==e.nodeName&&"VIDEO"!==e.nodeName||null!==e.getAttribute("tabindex")?e.tabIndex:0:a}return a()?function(a){const i=[],o=[];return[...a.querySelectorAll('input, select, textarea, a[href], button,\n        [tabindex], audio[controls], video[controls],\n        [contenteditable]:not([contenteditable="false"]), details>summary')].filter(e).forEach(((e,a)=>{const r=t(e);0===r?i.push(e):o.push({documentOrder:a,tabIndex:r,node:e})})),o.sort(((e,t)=>e.tabIndex===t.tabIndex?e.documentOrder-t.documentOrder:e.tabIndex-t.tabIndex)).map((e=>e.node)).concat(i)}(document.body):[]}();if(!document.activeElement||1===s.length)return e.announce("plonk"),!1;let l=s.indexOf(document.activeElement)+n;return!!(document.activeElement instanceof bn&&d(document.activeElement,t,n))||(l<0&&(l=s.length-1),l>=s.length&&(l=0),!!(s[l]instanceof bn&&d(s[l],t,n))||(s[l].focus(),0!==l||(e.announce("plonk"),!1)))}function d(e,t,a){var i,o,r;const n=[...null!==(o=null===(i=e.shadowRoot)||void 0===i?void 0:i.querySelectorAll("math-field"))&&void 0!==o?o:[]];if(n.length){const i=null===(r=e.shadowRoot)||void 0===r?void 0:r.activeElement,o=n.indexOf(i);let s=o+a;if(o<0&&"backward"===t&&(s=n.length-1),s>=0&&s<n.length)return n[s].focus(),!0}return!1}const c=e.position,u=e.offsetOf(l[0]);return"placeholder"===l[0].type?e.setSelection(u-1,u):e.position=u,e.announce("move",c),!0}function or(e){var t,a,i,o,r,n;if("text"===Jo(e,e.position)){let t=Math.min(e.anchor,e.position),a=Math.max(e.anchor,e.position),i=!1;for(;!i&&t>0;){const a=e.at(t);"text"===a.mode&&T.test(a.value)?t-=1:i=!0}for(i=!1;!i&&a<=e.lastOffset;){const t=e.at(a);"text"===t.mode&&T.test(t.value)?a+=1:i=!0}if(i&&(a-=1),t>=a)return e.setSelection(a-1,a),!0;e.setSelection(t,a)}else{const s=e.at(e.position);if(s.isDigit()){let i=Math.min(e.anchor,e.position),o=Math.max(e.anchor,e.position);for(;null===(t=e.at(i))||void 0===t?void 0:t.isDigit();)i-=1;for(;null===(a=e.at(o))||void 0===a?void 0:a.isDigit();)o+=1;e.setSelection(i,o-1)}else if(s.style.variant||s.style.variantStyle){let t=Math.min(e.anchor,e.position),a=Math.max(e.anchor,e.position),l=null===(i=e.at(t))||void 0===i?void 0:i.style;for(;l&&l.variant===s.style.variant&&l.variantStyle===s.style.variantStyle;)t-=1,l=null===(o=e.at(t))||void 0===o?void 0:o.style;for(l=null===(r=e.at(a))||void 0===r?void 0:r.style;l&&l.variant===s.style.variant&&l.variantStyle===s.style.variantStyle;)a+=1,l=null===(n=e.at(a))||void 0===n?void 0:n.style;e.setSelection(t,a-1)}else e.setSelection(e.offsetOf(s.firstSibling),e.offsetOf(s.lastSibling))}return!0}po({addRowAfter:Io,addColumnAfter:Vo,addRowBefore:function(e){return!!ji(e,{inputType:"insertText"})&&(Ro(e,"before row"),Wi(e,{inputType:"insertText"}),!0)},addColumnBefore:function(e){return!!ji(e,{inputType:"insertText"})&&(Ro(e,"before column"),Wi(e,{inputType:"insertText"}),!0)},removeRow:function(e){return!!ji(e,{inputType:"deleteContent"})&&(Ho(e,"row"),Wi(e,{inputType:"deleteContent"}),!0)},removeColumn:function(e){return!!ji(e,{inputType:"deleteContent"})&&(Ho(e,"column"),Wi(e,{inputType:"deleteContent"}),!0)}},{target:"model",category:"array-edit"}),po({deleteAll:e=>ji(e,{inputType:"deleteContent"})&&Wo(e,[0,-1],"deleteContent"),deleteForward:e=>function(e){return!!ji(e,{inputType:"deleteContentForward"})&&(e.selectionIsCollapsed?e.deferNotifications({content:!0,selection:!0,type:"deleteContentForward"},(()=>{var t,a;let i=e.at(e.position).rightSibling;if(i&&jo(e,"forward",i))return;if(i){if(e.at(e.position).isLastSibling&&jo(e,"forward",i.parent,i.treeBranch))return}else{if(i=e.at(e.position),i.isLastSibling&&jo(e,"forward",i.parent,i.treeBranch))return;i=null}if(e.position===e.lastOffset||!i)return void e.announce("plonk");i.parent.removeChild(i);let o=null===(t=e.at(e.position))||void 0===t?void 0:t.rightSibling;for(;"msubsup"===(null==o?void 0:o.type);)o.parent.removeChild(o),o=null===(a=e.at(e.position))||void 0===a?void 0:a.rightSibling;e.announce("delete",void 0,[i])})):Wo(e,Aa(e.selection),"deleteContentForward"))}(e),deleteBackward:e=>function(e){return!!ji(e,{inputType:"deleteContentBackward"})&&(e.selectionIsCollapsed?e.deferNotifications({content:!0,selection:!0,type:"deleteContentBackward"},(()=>{let t=e.at(e.position);if(!t||!jo(e,"backward",t)){if(null==t?void 0:t.isFirstSibling){if(jo(e,"backward",t.parent,t.treeBranch))return;t=null}t?(e.position=e.offsetOf(t.leftSibling),t.parent.removeChild(t),e.announce("delete",void 0,[t])):e.announce("plonk")}})):Wo(e,Aa(e.selection),"deleteContentBackward"))}(e),deleteNextWord:e=>ji(e,{inputType:"deleteWordForward"})&&Wo(e,[e.anchor,Go(e,e.position,"forward")],"deleteWordForward"),deletePreviousWord:e=>ji(e,{inputType:"deleteWordBackward"})&&Wo(e,[e.anchor,Go(e,e.position,"backward")],"deleteWordBackward"),deleteToGroupStart:e=>ji(e,{inputType:"deleteSoftLineBackward"})&&Wo(e,[e.anchor,e.offsetOf(e.at(e.position).firstSibling)],"deleteSoftLineBackward"),deleteToGroupEnd:e=>ji(e,{inputType:"deleteSoftLineForward"})&&Wo(e,[e.anchor,e.offsetOf(e.at(e.position).lastSibling)],"deleteSoftLineForward"),deleteToMathFieldStart:e=>ji(e,{inputType:"deleteHardLineBackward"})&&Wo(e,[e.anchor,0],"deleteHardLineBackward"),deleteToMathFieldEnd:e=>ji(e,{inputType:"deleteHardLineForward"})&&Wo(e,[e.anchor,-1],"deleteHardLineForward")},{target:"model",category:"delete"}),po({moveToOpposite:e=>{const t=e.at(e.position),{parent:a}=t;if(!a)return e.announce("plonk"),!1;const i=t.treeBranch;let o;return"string"==typeof i&&(o={superscript:"subscript",subscript:"superscript",above:"below",below:"above"}[i]),o?(a.branch(o)||a.createBranch(o),e.setSelection(e.getBranchRange(e.offsetOf(a),o))):t.subsupPlacement?ar(e):tr(e)},moveBeforeParent:e=>{const{parent:t}=e.at(e.position);return t?(e.position=e.offsetOf(t),!0):(e.announce("plonk"),!1)},moveAfterParent:e=>er(e),moveToNextPlaceholder:e=>ir(e,"forward"),moveToPreviousPlaceholder:e=>ir(e,"backward"),moveToNextChar:e=>Yo(e,"forward"),moveToPreviousChar:e=>Yo(e,"backward"),moveUp:e=>Yo(e,"upward"),moveDown:e=>Yo(e,"downward"),moveToNextWord:e=>Zo(e,"forward"),moveToPreviousWord:e=>Zo(e,"backward"),moveToGroupStart:e=>{const t=e.offsetOf(e.at(e.position).firstSibling);return t===e.position?(e.announce("plonk"),!1):(e.position=t,!0)},moveToGroupEnd:e=>{const t=e.offsetOf(e.at(e.position).lastSibling);return t===e.position?(e.announce("plonk"),!1):(e.position=t,!0)},moveToMathFieldStart:e=>0===e.position?(e.announce("plonk"),!1):(e.position=0,!0),moveToMathFieldEnd:e=>e.position===e.lastOffset?(e.announce("plonk"),!1):(e.position=e.lastOffset,!0),moveToSuperscript:e=>tr(e),moveToSubscript:e=>ar(e)},{target:"model",category:"selection-anchor"}),po({selectGroup:e=>{const t=or(e);return t||e.announce("plonk"),t},selectAll:e=>e.setSelection(0,e.lastOffset),extendSelectionForward:e=>{const t=e.extendSelection("forward");return t||e.announce("plonk"),t},extendSelectionBackward:e=>{const t=e.extendSelection("backward");return t||e.announce("plonk"),t},extendToNextWord:e=>Zo(e,"forward",{extend:!0}),extendToPreviousWord:e=>Zo(e,"backward",{extend:!0}),extendSelectionUpward:e=>Yo(e,"upward",{extend:!0}),extendSelectionDownward:e=>Yo(e,"downward",{extend:!0}),extendToNextBoundary:e=>Zo(e,"forward",{extend:!0}),extendToPreviousBoundary:e=>Zo(e,"backward",{extend:!0}),extendToGroupStart:e=>{const t=e.setSelection(e.anchor,e.offsetOf(e.at(e.position).firstSibling));return t||e.announce("plonk"),t},extendToGroupEnd:e=>{const t=e.setSelection(e.anchor,e.offsetOf(e.at(e.position).lastSibling));return t||e.announce("plonk"),t},extendToMathFieldStart:e=>{const t=e.setSelection(e.anchor,0);return t||e.announce("plonk"),t},extendToMathFieldEnd:e=>{const t=e.setSelection(e.anchor,e.lastOffset);return t||e.announce("plonk"),t}},{target:"model",category:"selection-extend"});class rr{constructor(e){var t,a;this.preventOverlayClose=null!==(t=null==e?void 0:e.preventOverlayClose)&&void 0!==t&&t,this.translucent=null!==(a=null==e?void 0:e.translucent)&&void 0!==a&&a,this.state="closed"}get element(){if(this._element)return this._element;const e=document.createElement("div");return e.setAttribute("role","presentation"),e.style.position="fixed",e.style.contain="content",e.style.top="0",e.style.left="0",e.style.right="0",e.style.bottom="0",e.style.zIndex="var(--scrim-zindex, 10099)",e.style.outline="none",this.translucent?(e.style.background="rgba(255, 255, 255, .2)",e.style.backdropFilter="contrast(40%)"):e.style.background="transparent",this._element=e,e}open(e){var t;if("closed"!==this.state)return;this.state="opening",this.savedActiveElement=nr();const{element:a}=this;(null!==(t=null==e?void 0:e.root)&&void 0!==t?t:document.body).appendChild(a),a.addEventListener("click",this),document.addEventListener("touchmove",this,!1),document.addEventListener("scroll",this,!1);const i=window.innerWidth-document.documentElement.clientWidth;this.savedMarginRight=document.body.style.marginRight,this.savedOverflow=document.body.style.overflow,document.body.style.overflow="hidden";const o=Number.parseFloat(getComputedStyle(document.body).marginRight);document.body.style.marginRight=`${o+i}px`,(null==e?void 0:e.child)&&a.append(e.child),this.state="open"}close(){var e,t,a,i;if("open"!==this.state)return;this.state="closing","function"==typeof this.onClose&&this.onClose();const{element:o}=this;o.removeEventListener("click",this),document.removeEventListener("touchmove",this,!1),document.removeEventListener("scroll",this,!1),o.remove(),document.body.style.overflow=null!==(e=this.savedOverflow)&&void 0!==e?e:"",document.body.style.marginRight=null!==(t=this.savedMarginRight)&&void 0!==t?t:"",nr()!==this.savedActiveElement&&(null===(i=null===(a=this.savedActiveElement)||void 0===a?void 0:a.focus)||void 0===i||i.call(a)),o.innerHTML="",this.state="closed"}handleEvent(e){this.preventOverlayClose||(e.target===this._element&&"click"===e.type?(this.close(),e.preventDefault(),e.stopPropagation()):e.target!==document||"touchmove"!==e.type&&"scroll"!==e.type||(this.close(),e.preventDefault(),e.stopPropagation()))}}function nr(){var e;let t=document.activeElement;for(;null===(e=null==t?void 0:t.shadowRoot)||void 0===e?void 0:e.activeElement;)t=t.shadowRoot.activeElement;return t}const sr=new Set(["Backquote","Digit0","Digit1","Digit2","Digit3","Digit4","Digit5","Digit6","Digit7","Digit8","Digit9","Minus","Equal","IntlYen","KeyQ","KeyW","KeyE","KeyR","KeyT","KeyY","KeyU","KeyI","KeyO","KeyP","BracketLeft","BracketRight","Backslash","KeyA","KeyS","KeyD","KeyF","KeyG","KeyH","KeyJ","KeyK","KeyL","Semicolon","Quote","IntlBackslash","KeyZ","KeyX","KeyC","KeyV","KeyB","KeyN","KeyM","Comma","Period","Slash","IntlRo","Space","Numpad0","Numpad1","Numpad2","Numpad3","Numpad4","Numpad5","Numpad6","Numpad7","Numpad8","Numpad9","NumpadAdd","NumpadComma","NumpadDecimal","NumpadDivide","NumpadEqual","NumpadHash","NumpadMultiply","NumpadParenLeft","NumpadParenRight","NumpadStar","NumpadSubstract"]);function lr(e){return!e.ctrlKey&&!e.metaKey&&"Dead"!==e.key&&(""===e.code||sr.has(e.code))}function dr(e){const t=[];return(e=function(e){if(e.code)return e;const t=Object.entries(Ei().mapping);let a=!1,i=!1,o="";for(let r=0;r<4;r++){for(const[n,s]of t)if(s[r]===e.key){o=n,3===r?(a=!0,i=!0):2===r?a=!0:1===r&&(i=!0);break}if(o)break}return new KeyboardEvent(e.type,{...e,altKey:a,shiftKey:i,code:o})}(e)).ctrlKey&&t.push("ctrl"),e.metaKey&&t.push("meta"),e.altKey&&t.push("alt"),e.shiftKey&&t.push("shift"),0===t.length?"["+e.code+"]":(t.push("["+e.code+"]"),t.join("+"))}function cr(){var e;if(!a())return null;let t=document.activeElement;for(;null===(e=null==t?void 0:t.shadowRoot)||void 0===e?void 0:e.activeElement;)t=t.shadowRoot.activeElement;return t}function ur(e){var t;if(!e)return"";let a;return"Unidentified"===e.key&&e.target&&(a=e.target.value),a=null!==(t=null!=a?a:e.key)&&void 0!==t?t:e.code,/^(Dead|Return|Enter|Tab|Escape|Delete|PageUp|PageDown|Home|End|Help|ArrowLeft|ArrowRight|ArrowUp|ArrowDown)$/.test(a)&&(a=""),a}class pr{get maximumDepth(){return 1e3}constructor(e){this.recording=!1,this.canCoalesce=!1,this.model=e,this.reset()}reset(){this.stack=[],this.index=-1}startRecording(){this.recording=!0}canUndo(){return this.index>0}canRedo(){return this.index!==this.stack.length-1}undo(){return!!this.canUndo()&&(this.model.setState(this.stack[this.index-1],{suppressChangeNotifications:!1,type:"undo"}),this.index-=1,this.canCoalesce=!1,!0)}redo(){return!!this.canRedo()&&(this.index+=1,this.model.setState(this.stack[this.index],{suppressChangeNotifications:!1,type:"redo"}),this.canCoalesce=!1,!0)}pop(){this.canUndo()&&(this.index-=1,this.stack.pop())}snapshot(){return!!this.recording&&(this.stack.splice(this.index+1,this.stack.length-this.index-1),this.stack.push(this.model.getState()),this.index++,this.stack.length>this.maximumDepth&&this.stack.shift(),this.canCoalesce=!1,!0)}snapshotAndCoalesce(){if(!this.recording)return!1;this.canCoalesce&&this.pop();const e=this.snapshot();return this.canCoalesce=!0,e}}var hr='.ML__keyboard{--hue:206;--keyboard-background:rgba(209,213,217,.97);--keyboard-text:#000;--keyboard-text-active:var(--primary,hsl(var(--hue),40%,50%));--keyboard-background-border:#ddd;--keycap-background:#fff;--keycap-background-active:#e5e5e5;--keycap-background-border:#e5e6e9;--keycap-background-border-bottom:#8d8f92;--keycap-text:#000;--keycap-text-active:#fff;--keycap-secondary-text:#000;--keycap-modifier-background:#b9bdc7;--keycap-modifier-border:#c5c9d0;--keycap-modifier-border-bottom:#989da6;--keyboard-alternate-background:#fff;--keyboard-alternate-background-active:var(--primary,hsl(var(--hue),40%,50%));--keyboard-alternate-text:var(--keycap-text,#000);--keyboard-alternate-text-active:#fff;--keyboard-alternate-key-length:70px;--keyboard-alternate-key-font-size:30px;--keyboard-alternate-key-aside-font-size:12px;--keyboard-height:276px;--keycap-height:52px;--keycap-font-size:20px;--keycap-small-font-size:calc(var(--keycap-font-size)*0.8);--keycap-extra-small-font-size:calc(var(--keycap-font-size)/1.42);--keycap-tt-font-size:calc(var(--keycap-font-size)*1.5);height:100%;left:0;pointer-events:none;position:fixed;top:0;width:100%;z-index:var(--keyboard-zindex,105)}.ML__keyboard.is-visible .ML__keyboard--plate{opacity:1;transform:translateY(calc(var(--keyboard-height, 276px)*-1));transition-timing-function:cubic-bezier(.4,0,1,1);visibility:visible}.ML__keyboard.alternate-keys{align-content:center;background-color:var(--keyboard-alternate-background);border-radius:6px;bottom:auto;box-shadow:0 14px 28px rgba(0,0,0,.25),0 10px 10px rgba(0,0,0,.22);box-sizing:content-box;display:flex;flex-direction:row;justify-content:center;max-width:286px;position:fixed;text-align:center;top:0;transform:none;transition:none;visibility:hidden;z-index:calc(var(--keyboard-zindex, 105) + 1)}@media only screen and (max-height:412px){.ML__keyboard.alternate-keys{max-width:320px}}.ML__keyboard.alternate-keys.is-visible{visibility:visible}.ML__keyboard.alternate-keys.compact{--keyboard-alternate-key-length:50px;--keyboard-alternate-key-font-size:24px;--keyboard-alternate-key-aside-font-size:10px}.ML__keyboard.alternate-keys ul{display:flex;flex-flow:row wrap-reverse;justify-content:center;list-style:none;margin:3px;padding:0}.ML__keyboard.alternate-keys ul>li{fill:currentColor;align-items:center;background:transparent;border:1px solid transparent;border-radius:5px;box-sizing:border-box;color:var(--keyboard-alternate-text);display:flex;flex-flow:column;font-size:var(--keyboard-alternate-key-font-size);height:var(--keyboard-alternate-key-length);justify-content:center;margin:0;pointer-events:all;width:var(--keyboard-alternate-key-length)}@media only screen and (max-height:412px){.ML__keyboard.alternate-keys ul>li{font-size:24px;height:50px;width:50px}}.ML__keyboard.alternate-keys ul>li.is-active,.ML__keyboard.alternate-keys ul>li.is-pressed,.ML__keyboard.alternate-keys ul>li:hover{background:var(--keyboard-alternate-background-active);color:var(--keyboard-alternate-text-active)}.ML__keyboard.alternate-keys ul>li.small{font-size:var(--keycap-small-font-size,16px)}.ML__keyboard.alternate-keys ul>li.small-button{background:#fbfbfb;height:42px;margin:2px;width:42px}.ML__keyboard.alternate-keys ul>li.small-button:hover{background:var(--keyboard-alternate-background-active)}.ML__keyboard.alternate-keys ul>li.box>div,.ML__keyboard.alternate-keys ul>li.box>span{border:1px dashed rgba(0,0,0,.24)}.ML__keyboard.alternate-keys ul>li .warning{align-items:center;background:#cd0030;border-radius:5px;color:#fff;display:flex;justify-content:center;min-height:60px;min-width:60px;padding:5px}.ML__keyboard.alternate-keys ul>li .warning.is-active,.ML__keyboard.alternate-keys ul>li .warning.is-pressed,.ML__keyboard.alternate-keys ul>li .warning:hover{background:red}.ML__keyboard.alternate-keys ul>li .warning svg.svg-glyph{height:50px;width:50px}.ML__keyboard.alternate-keys ul>li aside{font-size:var(--keyboard-alternate-key-aside-font-size);line-height:12px;opacity:.78;padding-top:2px}.ML__keyboard .ML__keyboard--plate{-webkit-backdrop-filter:grayscale(50%);backdrop-filter:grayscale(50%);background-color:var(--keyboard-background);border:1px solid var(--keyboard-background-border);bottom:calc(var(--keyboard-height, 276px)*-1);box-shadow:0 3px 6px rgba(0,0,0,.16),0 3px 6px rgba(0,0,0,.23);box-sizing:border-box;cursor:pointer;font-family:system-ui,-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen,Ubuntu,Cantarell,Fira Sans,Droid Sans,Helvetica Neue,sans-serif;font-size:16px;font-weight:400;left:0;margin:0;opacity:0;padding-top:5px;pointer-events:all;position:absolute;text-shadow:none;touch-action:none;transform:translate(0);transition:.28s cubic-bezier(0,0,.2,1);transition-property:transform,opacity;-webkit-user-select:none;user-select:none;visibility:hidden;width:100%}.ML__keyboard .ML__keyboard--plate .tex{font-family:KaTeX_Math,KaTeX_Main,Cambria Math,Asana Math,OpenSymbol,Symbola,STIX,Times,serif!important}.ML__keyboard .ML__keyboard--plate .tex-math{font-family:KaTeX_Math,Cambria Math,Asana Math,OpenSymbol,Symbola,STIX,Times,serif!important}.ML__keyboard .ML__keyboard--plate .tt{font-family:IBM Plex Mono,Source Code Pro,Consolas,Roboto Mono,Menlo,Bitstream Vera Sans Mono,DejaVu Sans Mono,Monaco,Courier,monospace!important;font-size:var(--keycap-tt-font-size,30px);font-weight:400}.ML__keyboard .ML__keyboard--plate>div.keyboard-layer{display:none;outline:none}.ML__keyboard .ML__keyboard--plate>div.keyboard-layer.is-visible{display:flex;flex-flow:column}.ML__keyboard .ML__keyboard--plate>div>div.keyboard-toolbar{align-self:center;display:flex;flex-flow:row;justify-content:space-between;min-width:736px}@media only screen and (min-width:768px) and (max-width:1024px){.ML__keyboard .ML__keyboard--plate>div>div.keyboard-toolbar{min-width:556px}}@media only screen and (max-width:767px){.ML__keyboard .ML__keyboard--plate>div>div.keyboard-toolbar{max-width:100vw;min-width:365px;width:365px}}.ML__keyboard .ML__keyboard--plate>div>div.keyboard-toolbar svg{height:20px;width:20px}@media only screen and (max-width:767px){.ML__keyboard .ML__keyboard--plate>div>div.keyboard-toolbar svg{height:13px;width:17px}}.ML__keyboard .ML__keyboard--plate>div>div.keyboard-toolbar>.left{display:flex;flex-flow:row;justify-content:flex-start;position:relative}.ML__keyboard .ML__keyboard--plate>div>div.keyboard-toolbar>.right{display:flex;flex-flow:row;justify-content:flex-end}.ML__keyboard .ML__keyboard--plate>div>div.keyboard-toolbar>div>div{fill:currentColor;align-items:baseline;background:0;border:none;border-bottom:2px solid transparent;box-shadow:none;color:var(--keyboard-text);cursor:pointer;display:flex;font-size:110%;justify-content:center;margin:7px 4px 6px;min-height:0;padding:4px 10px}.ML__keyboard .ML__keyboard--plate>div>div.keyboard-toolbar>div>div.disabled svg,.ML__keyboard .ML__keyboard--plate>div>div.keyboard-toolbar>div>div.disabled.is-pressed svg,.ML__keyboard .ML__keyboard--plate>div>div.keyboard-toolbar>div>div.disabled:hover svg{color:var(--keyboard-text);opacity:.2}@media only screen and (max-width:414px){.ML__keyboard .ML__keyboard--plate>div>div.keyboard-toolbar>div>div{font-size:100%;padding:0 6px 0 0}}@media only screen and (max-width:767px){.ML__keyboard .ML__keyboard--plate>div>div.keyboard-toolbar>div>div{font-size:90%;padding-left:4px;padding-right:4px}}.ML__keyboard .ML__keyboard--plate>div>div.keyboard-toolbar>div>div.is-active,.ML__keyboard .ML__keyboard--plate>div>div.keyboard-toolbar>div>div.is-pressed,.ML__keyboard .ML__keyboard--plate>div>div.keyboard-toolbar>div>div:active,.ML__keyboard .ML__keyboard--plate>div>div.keyboard-toolbar>div>div:hover{color:var(--keyboard-text-active)}.ML__keyboard .ML__keyboard--plate>div>div.keyboard-toolbar>div>div.selected{border-bottom:2px solid var(--keyboard-text-active);color:var(--keyboard-text-active);margin-bottom:8px;padding-bottom:0}.ML__keyboard .ML__keyboard--plate [data-tooltip]{position:relative}.ML__keyboard .ML__keyboard--plate [data-tooltip]:after{background:#616161;border-radius:2px;bottom:100%;box-shadow:0 2px 2px 0 rgba(0,0,0,.14),0 1px 5px 0 rgba(0,0,0,.12),0 3px 1px -2px rgba(0,0,0,.2);color:#fff;content:attr(data-tooltip);display:inline-table;font-family:system-ui,-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen,Ubuntu,Cantarell,Fira Sans,Droid Sans,Helvetica Neue,sans-serif;font-size:12px;font-weight:400;max-width:200px;opacity:0;padding:8px;position:absolute;text-align:center;top:inherit;transform:scale(.5);transition:all .15s cubic-bezier(.4,0,1,1) 1s;width:max-content;z-index:2}@media only screen and (max-width:767px){.ML__keyboard .ML__keyboard--plate [data-tooltip]:after{font-size:16px;padding:8px 16px}}.ML__keyboard .ML__keyboard--plate [data-tooltip]:hover{position:relative}.ML__keyboard .ML__keyboard--plate [data-tooltip]:hover:after{opacity:1;transform:scale(1)}.ML__keyboard .ML__keyboard--plate div .rows{align-items:center;border:0;border-collapse:separate;clear:both;display:flex;flex-flow:column;margin:auto}.ML__keyboard .ML__keyboard--plate div .rows>ul{height:40px;list-style:none;margin:0 0 3px;padding:0}.ML__keyboard .ML__keyboard--plate div .rows>ul>li{fill:currentColor;-webkit-tap-highlight-color:transparent;align-items:center;background:var(--keycap-background);border:1px solid var(--keycap-background-border);border-bottom-color:var(--keycap-background-border-bottom);border-radius:5px;box-sizing:border-box;color:var(--keycap-text);display:flex;flex-flow:column;float:left;font-size:var(--keycap-font-size,20px);height:40px;justify-content:center;margin-right:2px;overflow:hidden;padding:8px 0;position:relative;text-align:center;-webkit-user-select:none;user-select:none;vertical-align:top;width:34px}.ML__keyboard .ML__keyboard--plate div .rows>ul>li:last-child{margin-right:0}.ML__keyboard .ML__keyboard--plate div .rows>ul>li.small{font-size:var(--keycap-small-font-size,16px)}.ML__keyboard .ML__keyboard--plate div .rows>ul>li.tt{color:var(--keyboard-text-active)}.ML__keyboard .ML__keyboard--plate div .rows>ul>li.bottom{justify-content:flex-end}.ML__keyboard .ML__keyboard--plate div .rows>ul>li.left{align-items:flex-start;padding-left:4px}.ML__keyboard .ML__keyboard--plate div .rows>ul>li.right{align-items:flex-end;padding-right:4px}.ML__keyboard .ML__keyboard--plate div .rows>ul>li svg.svg-glyph{height:20px;width:20px}.ML__keyboard .ML__keyboard--plate div .rows>ul>li .warning{align-items:center;background:#cd0030;border-radius:100%;color:#fff;display:flex;height:25px;justify-content:center;margin-bottom:-2px;min-height:25px;min-width:25px;padding:5px;width:25px}.ML__keyboard .ML__keyboard--plate div .rows>ul>li .warning svg.svg-glyph{height:16px;width:16px}@media only screen and (max-width:768px){.ML__keyboard .ML__keyboard--plate div .rows>ul>li .warning{height:16px;min-height:16px;min-width:16px;width:16px}.ML__keyboard .ML__keyboard--plate div .rows>ul>li .warning svg.svg-glyph{height:14px;width:14px}}.ML__keyboard .ML__keyboard--plate div .rows>ul>li>.w0{width:0}.ML__keyboard .ML__keyboard--plate div .rows>ul>li>.w5{width:16px}.ML__keyboard .ML__keyboard--plate div .rows>ul>li>.w15{width:52px}.ML__keyboard .ML__keyboard--plate div .rows>ul>li>.w20{width:70px}.ML__keyboard .ML__keyboard--plate div .rows>ul>li>.w50{width:178px}.ML__keyboard .ML__keyboard--plate div .rows>ul>li.separator{background:transparent;border:none;pointer-events:none}@media only screen and (max-width:560px){.ML__keyboard .ML__keyboard--plate div .rows>ul>li.if-wide{display:none}}.ML__keyboard .ML__keyboard--plate div .rows>ul>li.tex-math{font-size:25px}.ML__keyboard .ML__keyboard--plate div .rows>ul>li.is-pressed,.ML__keyboard .ML__keyboard--plate div .rows>ul>li:hover{background:var(--keycap-background-active);color:var(--keyboard-text-active)}.ML__keyboard .ML__keyboard--plate div .rows>ul>li.action.is-active,.ML__keyboard .ML__keyboard--plate div .rows>ul>li.action:active,.ML__keyboard .ML__keyboard--plate div .rows>ul>li.keycap.is-active,.ML__keyboard .ML__keyboard--plate div .rows>ul>li.keycap:active{color:var(--keyboard-text-active);transform:translateY(calc(var(--keycap-height, 52px)*-.2)) scale(1.4);z-index:calc(var(--keyboard-zindex, 105) - 5)}.ML__keyboard .ML__keyboard--plate div .rows>ul>li.modifier.is-active,.ML__keyboard .ML__keyboard--plate div .rows>ul>li.modifier:active{background:var(--keyboard-text-active);color:var(--keycap-text-active)}.ML__keyboard .ML__keyboard--plate div .rows>ul>li.action.font-glyph,.ML__keyboard .ML__keyboard--plate div .rows>ul>li.modifier.font-glyph{font-size:18px}@media only screen and (max-width:767px){.ML__keyboard .ML__keyboard--plate div .rows>ul>li.action.font-glyph,.ML__keyboard .ML__keyboard--plate div .rows>ul>li.modifier.font-glyph{font-size:16px}}@media only screen and (max-width:767px){.ML__keyboard .ML__keyboard--plate div .rows>ul>li.fnbutton{font-size:12px}}.ML__keyboard .ML__keyboard--plate div .rows>ul>li.bigfnbutton{font-size:var(--keycap-extra-small-font-size,14px)}@media only screen and (max-width:767px){.ML__keyboard .ML__keyboard--plate div .rows>ul>li.bigfnbutton{font-size:calc(var(--keycap-extra-small-font-size, 14px)/1.55)}}.ML__keyboard .ML__keyboard--plate div .rows>ul>li.action,.ML__keyboard .ML__keyboard--plate div .rows>ul>li.modifier{background-color:var(--keycap-modifier-background);border-color:var(--keycap-modifier-border);border-bottom-color:var(--keycap-modifier-border-bottom);font-size:65%;font-weight:100}.ML__keyboard .ML__keyboard--plate div .rows>ul>li.action.selected,.ML__keyboard .ML__keyboard--plate div .rows>ul>li.modifier.selected{color:var(--keyboard-text-active)}.ML__keyboard .ML__keyboard--plate div .rows>ul>li.action.selected.is-active,.ML__keyboard .ML__keyboard--plate div .rows>ul>li.action.selected.is-pressed,.ML__keyboard .ML__keyboard--plate div .rows>ul>li.action.selected:active,.ML__keyboard .ML__keyboard--plate div .rows>ul>li.action.selected:hover,.ML__keyboard .ML__keyboard--plate div .rows>ul>li.modifier.selected.is-active,.ML__keyboard .ML__keyboard--plate div .rows>ul>li.modifier.selected.is-pressed,.ML__keyboard .ML__keyboard--plate div .rows>ul>li.modifier.selected:active,.ML__keyboard .ML__keyboard--plate div .rows>ul>li.modifier.selected:hover{color:#fff}.ML__keyboard .ML__keyboard--plate div .rows>ul>li.keycap.w50{font-size:80%;font-weight:100;padding-top:10px}.ML__keyboard .ML__keyboard--plate div .rows>ul>li small{color:#555}@media only screen and (max-width:767px){.ML__keyboard .ML__keyboard--plate div .rows>ul>li small{font-size:9px}}.ML__keyboard .ML__keyboard--plate div .rows>ul>li aside{color:#666;font-family:system-ui,-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen,Ubuntu,Cantarell,Fira Sans,Droid Sans,Helvetica Neue,sans-serif;font-size:10px;line-height:10px}@media only screen and (max-width:767px){.ML__keyboard .ML__keyboard--plate div .rows>ul>li aside{display:none}}@media only screen and (max-width:414px){.ML__keyboard .ML__keyboard--plate div .rows>ul>li{margin-right:2px;width:calc(10vw - 2px)}.ML__keyboard .ML__keyboard--plate div .rows>ul>.w5{width:calc(5vw - 2px)}.ML__keyboard .ML__keyboard--plate div .rows>ul>.w15{width:calc(15vw - 2px)}.ML__keyboard .ML__keyboard--plate div .rows>ul>.w20{width:calc(20vw - 2px)}.ML__keyboard .ML__keyboard--plate div .rows>ul>.w50{width:calc(50vw - 2px)}}@media only screen and (min-width:415px) and (max-width:768px){.ML__keyboard .ML__keyboard--plate div .rows>ul>li{margin-right:3px;width:37px}.ML__keyboard .ML__keyboard--plate div .rows>ul>.w5{width:17px}.ML__keyboard .ML__keyboard--plate div .rows>ul>.w15{width:57px}.ML__keyboard .ML__keyboard--plate div .rows>ul>.w20{width:77px}.ML__keyboard .ML__keyboard--plate div .rows>ul>.w50{width:197px}}@media only screen and (min-width:768px) and (max-width:1024px){.ML__keyboard .ML__keyboard--plate div .rows>ul{height:var(--keycap-height,52px)}.ML__keyboard .ML__keyboard--plate div .rows>ul>li{height:var(--keycap-height,52px);margin-right:4px;width:51px}.ML__keyboard .ML__keyboard--plate div .rows>ul>.w5{width:23.5px}.ML__keyboard .ML__keyboard--plate div .rows>ul>.w15{width:78.5px}.ML__keyboard .ML__keyboard--plate div .rows>ul>.w20{width:106px}.ML__keyboard .ML__keyboard--plate div .rows>ul>.w50{width:271px}}@media only screen and (min-width:1025px){.ML__keyboard .ML__keyboard--plate div .rows>ul{height:var(--keycap-height,52px)}.ML__keyboard .ML__keyboard--plate div .rows>ul>li{height:var(--keycap-height,52px);margin-right:6px;width:66px}.ML__keyboard .ML__keyboard--plate div .rows>ul>.action,.ML__keyboard .ML__keyboard--plate div .rows>ul>.modifier{font-size:80%}.ML__keyboard .ML__keyboard--plate div .rows>ul>.w5{width:30px}.ML__keyboard .ML__keyboard--plate div .rows>ul>.w15{width:102px}.ML__keyboard .ML__keyboard--plate div .rows>ul>.w20{width:138px}.ML__keyboard .ML__keyboard--plate div .rows>ul>.w50{width:354px}}@media (prefers-color-scheme:dark){body:not([theme=light]) .ML__keyboard{--hue:206;--keyboard-background:#4e6373;--keyboard-background:#4e6073;--keyboard-background:hsl(var(--hue),19%,38%);--keyboard-text:#f0f0f0;--keyboard-text-active:hsl(var(--hue),100%,60%);--keyboard-background-border:#333;--keycap-background:hsl(var(--hue),25%,39%);--keycap-background-active:hsl(var(--hue),35%,42%);--keycap-background-border:hsl(var(--hue),25%,35%);--keycap-background-border-bottom:#426b8a;--keycap-text:#d0d0d0;--keycap-text-active:#000;--keycap-secondary-text:#fff;--keycap-modifier-background:hsl(var(--hue),35%,40%);--keycap-modifier-border:hsl(var(--hue),35%,35%);--keycap-modifier-border-bottom:hsl(var(--hue),35%,42%);--keyboard-alternate-background:hsl(var(--hue),19%,38%)}}body[theme=dark] .ML__keyboard{--hue:206;--keyboard-background:hsl(var(--hue),19%,38%);--keyboard-text:#f0f0f0;--keyboard-text-active:hsl(var(--hue),100%,60%);--keyboard-background-border:#333;--keycap-background:hsl(var(--hue),25%,39%);--keycap-background-active:hsl(var(--hue),35%,42%);--keycap-background-border:hsl(var(--hue),25%,35%);--keycap-background-border-bottom:#426b8a;--keycap-text:#d0d0d0;--keycap-text-active:#000;--keycap-secondary-text:#fff;--keycap-modifier-background:hsl(var(--hue),35%,40%);--keycap-modifier-border:hsl(var(--hue),35%,35%);--keycap-modifier-border-bottom:hsl(var(--hue),35%,42%);--keyboard-alternate-background:hsl(var(--hue),19%,38%)}div.ML__keyboard.material{--keyboard-background:rgba(209,213,217,.9);--keyboard-background-border:#ddd;--keycap-background:transparent;--keycap-background-active:#cccfd1;--keycap-background-border:transparent;--keyboard-alternate-background:#efefef;--keyboard-alternate-text:#000;font-family:Roboto,sans-serif}div.ML__keyboard.material.alternate-keys{background:var(--keyboard-alternate-background);border:1px solid transparent;border-radius:5px;box-shadow:0 14px 28px rgba(0,0,0,.25),0 10px 10px rgba(0,0,0,.22)}div.ML__keyboard.material.alternate-keys ul li.is-active,div.ML__keyboard.material.alternate-keys ul li.is-pressed,div.ML__keyboard.material.alternate-keys ul li:active,div.ML__keyboard.material.alternate-keys ul li:hover{fill:currentColor;background:#5f97fc;border:1px solid transparent;color:#fff}div.ML__keyboard.material .ML__keyboard__plate .keyboard-toolbar>div>div{font-size:16px}div.ML__keyboard.material .ML__keyboard__plate .keyboard-toolbar div div:active,div.ML__keyboard.material .ML__keyboard__plate .keyboard-toolbar div div:hover,div.ML__keyboard.material .ML__keyboard__plate .keyboard-toolbar div.div.is-active,div.ML__keyboard.material .ML__keyboard__plate .keyboard-toolbar div.div.is-pressed{fill:currentColor;color:#5f97fc}div.ML__keyboard.material .ML__keyboard__plate .keyboard-toolbar>div>.selected{fill:currentColor;border-bottom:2px solid #5f97fc;color:#5f97fc;margin-bottom:8px;padding-bottom:0}div.ML__keyboard.material .ML__keyboard__plate div>.rows>ul>.keycap{fill:currentColor;background:transparent;border:1px solid transparent;border-radius:5px;color:var(--keycap-text);transition:none}div.ML__keyboard.material .ML__keyboard__plate div>.rows>ul>.keycap.tt{color:#5f97fc}div.ML__keyboard.material .ML__keyboard__plate div>.rows>ul>.keycap[data-key=" "]{background:#e0e0e0;height:20px;margin-bottom:10px;margin-top:10px}div.ML__keyboard.material .ML__keyboard__plate div>.rows>ul>.keycap[data-key=" "].is-active,div.ML__keyboard.material .ML__keyboard__plate div>.rows>ul>.keycap[data-key=" "].is-pressed,div.ML__keyboard.material .ML__keyboard__plate div>.rows>ul>.keycap[data-key=" "]:active,div.ML__keyboard.material .ML__keyboard__plate div>.rows>ul>.keycap[data-key=" "]:hover{background:#d0d0d0;box-shadow:none;transform:none}div.ML__keyboard.material .ML__keyboard__plate div>.rows>ul>.keycap:not([data-key=" "]):hover{background:var(--keycap-background-active);border:1px solid transparent;box-shadow:none}div.ML__keyboard.material .ML__keyboard__plate div>.rows>ul>.keycap:not([data-key=" "]).is-active,div.ML__keyboard.material .ML__keyboard__plate div>.rows>ul>.keycap:not([data-key=" "]).is-pressed,div.ML__keyboard.material .ML__keyboard__plate div>.rows>ul>.keycap:not([data-key=" "]):active{background:var(--keyboard-alternate-background);box-shadow:0 10px 20px rgba(0,0,0,.19),0 6px 6px rgba(0,0,0,.23);color:var(--keyboard-alternate-text)}@media only screen and (max-width:767px){div.ML__keyboard.material .ML__keyboard__plate div>.rows>ul>.keycap:not([data-key=" "]).is-active,div.ML__keyboard.material .ML__keyboard__plate div>.rows>ul>.keycap:not([data-key=" "]).is-pressed,div.ML__keyboard.material .ML__keyboard__plate div>.rows>ul>.keycap:not([data-key=" "]):active{box-shadow:0 10px 20px rgba(0,0,0,.19),0 6px 6px rgba(0,0,0,.23);font-size:10px;justify-content:flex-start;margin-left:10px;margin-right:10px;padding:2px 0 0;transform:translateY(-10px) scale(2);transition:none;vertical-align:top;width:19.5px;z-index:calc(var(--ML_keyboard-zindex, 105) - 5)}}@media only screen and (max-width:414px){div.ML__keyboard.material .ML__keyboard__plate div>.rows>ul>.keycap:not([data-key=" "]).is-active,div.ML__keyboard.material .ML__keyboard__plate div>.rows>ul>.keycap:not([data-key=" "]).is-pressed,div.ML__keyboard.material .ML__keyboard__plate div>.rows>ul>.keycap:not([data-key=" "]):active{width:16.5px}}@media only screen and (max-width:767px){div.ML__keyboard.material .ML__keyboard__plate div>.rows>ul>.keycap:last-child.is-active,div.ML__keyboard.material .ML__keyboard__plate div>.rows>ul>.keycap:last-child:active{margin-left:14px;margin-right:0}}div.ML__keyboard.material .ML__keyboard__plate div div.rows ul li.action,div.ML__keyboard.material .ML__keyboard__plate div div.rows ul li.modifier{fill:currentColor;background:transparent;border:0;color:#869096;font-size:16px;transition:none}div.ML__keyboard.material .ML__keyboard__plate div div.rows ul li.action.selected,div.ML__keyboard.material .ML__keyboard__plate div div.rows ul li.modifier.selected{border-bottom:2px solid #5f97fc;border-radius:0;color:#5f97fc}div.ML__keyboard.material .ML__keyboard__plate div div.rows ul li.action.is-active,div.ML__keyboard.material .ML__keyboard__plate div div.rows ul li.action.is-pressed,div.ML__keyboard.material .ML__keyboard__plate div div.rows ul li.action:active,div.ML__keyboard.material .ML__keyboard__plate div div.rows ul li.action:hover,div.ML__keyboard.material .ML__keyboard__plate div div.rows ul li.modifier.is-active,div.ML__keyboard.material .ML__keyboard__plate div div.rows ul li.modifier.is-pressed,div.ML__keyboard.material .ML__keyboard__plate div div.rows ul li.modifier:active,div.ML__keyboard.material .ML__keyboard__plate div div.rows ul li.modifier:hover{background:var(--keycap-background-active);border:0;box-shadow:none;color:var(--keycap-text)}div.ML__keyboard.material .ML__keyboard__plate div div.rows ul li.bigfnbutton,div.ML__keyboard.material .ML__keyboard__plate div div.rows ul li.fnbutton{background:transparent;border:0}div.ML__keyboard.material .ML__keyboard__plate div div.rows ul li.bigfnbutton.selected,div.ML__keyboard.material .ML__keyboard__plate div div.rows ul li.fnbutton.selected{fill:currentColor;border-bottom:2px solid #5f97fc;border-radius:0;color:#5f97fc}div.ML__keyboard.material .ML__keyboard__plate div div.rows ul li.bigfnbutton.is-active,div.ML__keyboard.material .ML__keyboard__plate div div.rows ul li.bigfnbutton.is-pressed,div.ML__keyboard.material .ML__keyboard__plate div div.rows ul li.bigfnbutton:active,div.ML__keyboard.material .ML__keyboard__plate div div.rows ul li.bigfnbutton:hover,div.ML__keyboard.material .ML__keyboard__plate div div.rows ul li.fnbutton.is-active,div.ML__keyboard.material .ML__keyboard__plate div div.rows ul li.fnbutton.is-pressed,div.ML__keyboard.material .ML__keyboard__plate div div.rows ul li.fnbutton:active,div.ML__keyboard.material .ML__keyboard__plate div div.rows ul li.fnbutton:hover{fill:currentColor;background:var(--keycap-background-active);border:0;box-shadow:none;color:#5f97fc}@media (prefers-color-scheme:dark){body:not([theme=light]) div.ML__keyboard.material{--hue:198;--keyboard-background:hsl(var(--hue),19%,18%);--keyboard-text:#d4d6d7;--keyboard-text-active:#5f97fc;--keyboard-background-border:#333;--keycap-background:hsl(var(--hue),25%,39%);--keycap-background-active:#5f97fc;--keycap-background-border:transparent;--keycap-background-border-bottom:transparent;--keycap-text:#d0d0d0;--keycap-text-active:#d4d6d7;--keycap-secondary-text:#5f97fc;--keycap-modifier-background:hsl(var(--hue),35%,40%);--keycap-modifier-border:hsl(var(--hue),35%,35%);--keycap-modifier-border-bottom:hsl(var(--hue),35%,42%);--keyboard-alternate-background:hsl(var(--hue),8%,2%);--keyboard-alternate-background-active:hsl(var(--hue),35%,42%);--keyboard-alternate-text:#d1d1d1}}body[theme=dark] div.ML__keyboard.material{--hue:198;--keyboard-background:hsl(var(--hue),19%,18%);--keyboard-text:#d4d6d7;--keyboard-text-active:#5f97fc;--keyboard-background-border:#333;--keycap-background:hsl(var(--hue),25%,39%);--keycap-background-active:#5f97fc;--keycap-background-border:transparent;--keycap-background-border-bottom:transparent;--keycap-text:#d0d0d0;--keycap-text-active:#d4d6d7;--keycap-secondary-text:#5f97fc;--keycap-modifier-background:hsl(var(--hue),35%,40%);--keycap-modifier-border:hsl(var(--hue),35%,35%);--keycap-modifier-border-bottom:hsl(var(--hue),35%,42%);--keyboard-alternate-background:hsl(var(--hue),8%,2%);--keyboard-alternate-background-active:hsl(var(--hue),35%,42%);--keyboard-alternate-text:#d1d1d1}';function mr(e,t,a){var i;let o,r,n,s,l;"object"==typeof(i=a)&&("default"in i||"pressed"in i)?(a.default&&(t.dataset.command=JSON.stringify(a.default)),a.alt&&(t.dataset.commandAlt=JSON.stringify(a.alt)),a.altshift&&(t.dataset.commandAltshift=JSON.stringify(a.altshift)),a.shift&&(t.dataset.commandShift=JSON.stringify(a.shift)),a.pressed&&(t.dataset.commandPressed=JSON.stringify(a.pressed)),a.pressAndHoldStart&&(t.dataset.commandPressAndHoldStart=JSON.stringify(a.pressAndHoldStart)),a.pressAndHoldEnd&&(t.dataset.commandPressAndHoldEnd=JSON.stringify(a.pressAndHoldEnd))):t.dataset.command=JSON.stringify(a),oi(t,"mousedown touchstart:passive",(a=>{if("mousedown"!==a.type||1===a.buttons){a.stopPropagation(),"touchstart"!==a.type&&a.preventDefault(),document.body.style["-webkit-user-select"]="none",t.classList.add("is-pressed"),o=Date.now(),"touchstart"===a.type&&(n=a.changedTouches[0].identifier);const i=t.getAttribute("data-command-pressed");i&&e(JSON.parse(i));const s=t.getAttribute("data-command-press-and-hold-start");s&&(r=t,l&&clearTimeout(l),l=setTimeout((()=>{t.classList.contains("is-pressed")&&e(JSON.parse(s))}),300))}})),oi(t,"mouseleave touchcancel",(()=>{t.classList.remove("is-pressed")})),oi(t,"touchmove:passive",(e=>{for(let t=0;t<e.changedTouches.length;t++)if(e.changedTouches[t].identifier===n){const a=document.elementsFromPoint(e.changedTouches[t].clientX,e.changedTouches[t].clientY),i=a[a.length-1];i!==s&&s&&(s.dispatchEvent(new MouseEvent("mouseleave"),{bubbles:!0}),s=null),i&&(s=i,i.dispatchEvent(new MouseEvent("mouseenter",{bubbles:!0,buttons:1})))}})),oi(t,"mouseenter",(e=>{1===e.buttons&&t.classList.add("is-pressed")})),oi(t,"mouseup touchend click",(a=>{if(document.body.style["-webkit-user-select"]="",s){a.stopPropagation(),a.preventDefault();const e=s;return s=null,void e.dispatchEvent(new MouseEvent("mouseup",{bubbles:!0}))}if(t.classList.remove("is-pressed"),t.classList.add("is-active"),"click"===a.type&&0!==a.detail)return a.stopPropagation(),void a.preventDefault();setTimeout((()=>t.classList.remove("is-active")),150);let i=t.getAttribute("data-command-press-and-hold-end");const n=Date.now();(t!==r||n<o+300)&&(i=null),!i&&a.altKey&&a.shiftKey&&(i=t.getAttribute("data-command-altshift")),!i&&a.altKey&&(i=t.getAttribute("data-command-alt")),!i&&a.shiftKey&&(i=t.getAttribute("data-command-shift")),i||(i=t.getAttribute("data-command")),i&&e(JSON.parse(i)),a.stopPropagation(),a.preventDefault()}))}let fr;function yr(){var e;i();const t=document.querySelector("#mathlive-alternate-keys-panel");return t&&(t.classList.remove("is-visible"),t.innerHTML=""),null===(e=rr.scrim)||void 0===e||e.close(),!1}class br{constructor(e,t){this.originalContainerBottomPadding=null,this.options=e,this.visible=!1,this._mathfield=t,this.coreStylesheet=null,this.virtualKeyboardStylesheet=null}setOptions(e){var t,a;let i="";if(this._element){const e=this._element.querySelector("div.keyboard-layer.is-visible");e&&(i=null!==(t=e.getAttribute("data-layer"))&&void 0!==t?t:""),this._element.remove(),this._element=void 0}if(this.options=e,this.visible){this.buildAndAttachElement(e.virtualKeyboardTheme);const t=this.element.querySelector(`.keyboard-layer[data-layer="${i}"]`);t&&(null===(a=this.element.querySelector(".keyboard-layer.is-visible"))||void 0===a||a.classList.remove("is-visible"),t.classList.add("is-visible")),this.element.classList.add("is-visible")}}get element(){return this._element}set element(e){var t;this._element!==e&&(null===(t=this._element)||void 0===t||t.remove(),this._element=e)}get visible(){return this._visible}set visible(e){this._visible=e}get height(){var e,t;return null!==(t=null===(e=this.element)||void 0===e?void 0:e.offsetHeight)&&void 0!==t?t:0}buildAndAttachElement(e){var t;this.element=function(e,t){var a,o,r,n;i();let s='<svg xmlns="http://www.w3.org/2000/svg" style="display: none;">\n\n    <symbol id="svg-delete-backward" viewBox="0 0 576 512">\n      <path d="M432.1 208.1L385.9 256L432.1 303C442.3 312.4 442.3 327.6 432.1 336.1C423.6 346.3 408.4 346.3 399 336.1L352 289.9L304.1 336.1C295.6 346.3 280.4 346.3 271 336.1C261.7 327.6 261.7 312.4 271 303L318.1 256L271 208.1C261.7 199.6 261.7 184.4 271 175C280.4 165.7 295.6 165.7 304.1 175L352 222.1L399 175C408.4 165.7 423.6 165.7 432.1 175C442.3 184.4 442.3 199.6 432.1 208.1V208.1zM512 64C547.3 64 576 92.65 576 128V384C576 419.3 547.3 448 512 448H205.3C188.3 448 172 441.3 160 429.3L9.372 278.6C3.371 272.6 0 264.5 0 256C0 247.5 3.372 239.4 9.372 233.4L160 82.75C172 70.74 188.3 64 205.3 64L512 64zM528 128C528 119.2 520.8 112 512 112H205.3C201 112 196.9 113.7 193.9 116.7L54.63 256L193.9 395.3C196.9 398.3 201 400 205.3 400H512C520.8 400 528 392.8 528 384V128z"/>\n    </symbol>\n\n    <symbol id="svg-shift" viewBox="0 0 384 512">\n      <path d="M2.438 252.3C7.391 264.2 19.06 272 32 272h80v160c0 26.51 21.49 48 48 48h64C250.5 480 272 458.5 272 432v-160H352c12.94 0 24.61-7.797 29.56-19.75c4.953-11.97 2.219-25.72-6.938-34.88l-160-176C208.4 35.13 200.2 32 192 32S175.6 35.13 169.4 41.38l-160 176C.2188 226.5-2.516 240.3 2.438 252.3zM192 86.63L313.4 224H224v208H160V224H70.63L192 86.63z"/>\n    </symbol>\n\n    <symbol id="svg-commit" viewBox="0 0 512 512">\n      <path d="M135 432.1l-128-128C2.344 300.3 0 294.2 0 288s2.344-12.28 7.031-16.97l128-128c9.375-9.375 24.56-9.375 33.94 0s9.375 24.56 0 33.94L81.94 264H464v-208C464 42.75 474.8 32 488 32S512 42.75 512 56V288c0 13.25-10.75 24-24 24H81.94l87.03 87.03c9.375 9.375 9.375 24.56 0 33.94S144.4 442.3 135 432.1z"/>\n    </symbol>\n\n    <symbol id="svg-command" viewBox="0 0 640 512">\n      <path d="M34.495 36.465l211.051 211.05c4.686 4.686 4.686 12.284 0 16.971L34.495 475.535c-4.686 4.686-12.284 4.686-16.97 0l-7.071-7.07c-4.686-4.686-4.686-12.284 0-16.971L205.947 256 10.454 60.506c-4.686-4.686-4.686-12.284 0-16.971l7.071-7.07c4.686-4.687 12.284-4.687 16.97 0zM640 468v-10c0-6.627-5.373-12-12-12H300c-6.627 0-12 5.373-12 12v10c0 6.627 5.373 12 12 12h328c6.627 0 12-5.373 12-12z"/>\n    </symbol>\n\n    <symbol id="svg-undo" viewBox="0 0 512 512">\n      <path d="M20 8h10c6.627 0 12 5.373 12 12v110.625C85.196 57.047 165.239 7.715 256.793 8.001 393.18 8.428 504.213 120.009 504 256.396 503.786 393.181 392.834 504 256 504c-63.926 0-122.202-24.187-166.178-63.908-5.113-4.618-5.354-12.561-.482-17.433l7.069-7.069c4.503-4.503 11.749-4.714 16.482-.454C150.782 449.238 200.935 470 256 470c117.744 0 214-95.331 214-214 0-117.744-95.331-214-214-214-82.862 0-154.737 47.077-190.289 116H180c6.627 0 12 5.373 12 12v10c0 6.627-5.373 12-12 12H20c-6.627 0-12-5.373-12-12V20c0-6.627 5.373-12 12-12z"/>\n    </symbol>\n    <symbol id="svg-redo" viewBox="0 0 512 512">\n      <path d="M492 8h-10c-6.627 0-12 5.373-12 12v110.625C426.804 57.047 346.761 7.715 255.207 8.001 118.82 8.428 7.787 120.009 8 256.396 8.214 393.181 119.166 504 256 504c63.926 0 122.202-24.187 166.178-63.908 5.113-4.618 5.354-12.561.482-17.433l-7.069-7.069c-4.503-4.503-11.749-4.714-16.482-.454C361.218 449.238 311.065 470 256 470c-117.744 0-214-95.331-214-214 0-117.744 95.331-214 214-214 82.862 0 154.737 47.077 190.289 116H332c-6.627 0-12 5.373-12 12v10c0 6.627 5.373 12 12 12h160c6.627 0 12-5.373 12-12V20c0-6.627-5.373-12-12-12z"/>\n    </symbol>\n    <symbol id="svg-arrow-left" viewBox="0 0 320 512">\n      <path d="M206.7 464.6l-183.1-191.1C18.22 267.1 16 261.1 16 256s2.219-11.97 6.688-16.59l183.1-191.1c9.152-9.594 24.34-9.906 33.9-.7187c9.625 9.125 9.938 24.37 .7187 33.91L73.24 256l168 175.4c9.219 9.5 8.906 24.78-.7187 33.91C231 474.5 215.8 474.2 206.7 464.6z"/>\n    </symbol>\n    <symbol id="svg-arrow-right" viewBox="0 0 320 512">\n      <path d="M113.3 47.41l183.1 191.1c4.469 4.625 6.688 10.62 6.688 16.59s-2.219 11.97-6.688 16.59l-183.1 191.1c-9.152 9.594-24.34 9.906-33.9 .7187c-9.625-9.125-9.938-24.38-.7187-33.91l168-175.4L78.71 80.6c-9.219-9.5-8.906-24.78 .7187-33.91C88.99 37.5 104.2 37.82 113.3 47.41z"/>\n    </symbol>\n    <symbol id="svg-tab" viewBox="0 0 448 512">\n      <path d="M32 217.1c0-8.8 7.2-16 16-16h144v-93.9c0-7.1 8.6-10.7 13.6-5.7l143.5 143.1c6.3 6.3 6.3 16.4 0 22.7L205.6 410.4c-5 5-13.6 1.5-13.6-5.7v-93.9H48c-8.8 0-16-7.2-16-16v-77.7m-32 0v77.7c0 26.5 21.5 48 48 48h112v61.9c0 35.5 43 53.5 68.2 28.3l143.6-143c18.8-18.8 18.8-49.2 0-68L228.2 78.9c-25.1-25.1-68.2-7.3-68.2 28.3v61.9H48c-26.5 0-48 21.6-48 48zM436 64h-8c-6.6 0-12 5.4-12 12v360c0 6.6 5.4 12 12 12h8c6.6 0 12-5.4 12-12V76c0-6.6-5.4-12-12-12z"/>\n    </symbol>\n    <symbol id="svg-copy" viewBox="0 0 448 512">\n      <path d="M433.941 65.941l-51.882-51.882A48 48 0 0 0 348.118 0H176c-26.51 0-48 21.49-48 48v48H48c-26.51 0-48 21.49-48 48v320c0 26.51 21.49 48 48 48h224c26.51 0 48-21.49 48-48v-48h80c26.51 0 48-21.49 48-48V99.882a48 48 0 0 0-14.059-33.941zM352 32.491a15.88 15.88 0 0 1 7.431 4.195l51.882 51.883A15.885 15.885 0 0 1 415.508 96H352V32.491zM288 464c0 8.822-7.178 16-16 16H48c-8.822 0-16-7.178-16-16V144c0-8.822 7.178-16 16-16h80v240c0 26.51 21.49 48 48 48h112v48zm128-96c0 8.822-7.178 16-16 16H176c-8.822 0-16-7.178-16-16V48c0-8.822 7.178-16 16-16h144v72c0 13.2 10.8 24 24 24h72v240z"/>\n    </symbol>\n    <symbol id="svg-angle-double-right" viewBox="0 0 320 512">\n      <path d="M166.9 264.5l-117.8 116c-4.7 4.7-12.3 4.7-17 0l-7.1-7.1c-4.7-4.7-4.7-12.3 0-17L127.3 256 25.1 155.6c-4.7-4.7-4.7-12.3 0-17l7.1-7.1c4.7-4.7 12.3-4.7 17 0l117.8 116c4.6 4.7 4.6 12.3-.1 17zm128-17l-117.8-116c-4.7-4.7-12.3-4.7-17 0l-7.1 7.1c-4.7 4.7-4.7 12.3 0 17L255.3 256 153.1 356.4c-4.7 4.7-4.7 12.3 0 17l7.1 7.1c4.7 4.7 12.3 4.7 17 0l117.8-116c4.6-4.7 4.6-12.3-.1-17z"/>\n    </symbol>\n    <symbol id="svg-angle-double-left" viewBox="0 0 320 512">\n      <path d="M153.1 247.5l117.8-116c4.7-4.7 12.3-4.7 17 0l7.1 7.1c4.7 4.7 4.7 12.3 0 17L192.7 256l102.2 100.4c4.7 4.7 4.7 12.3 0 17l-7.1 7.1c-4.7 4.7-12.3 4.7-17 0L153 264.5c-4.6-4.7-4.6-12.3.1-17zm-128 17l117.8 116c4.7 4.7 12.3 4.7 17 0l7.1-7.1c4.7-4.7 4.7-12.3 0-17L64.7 256l102.2-100.4c4.7-4.7 4.7-12.3 0-17l-7.1-7.1c-4.7-4.7-12.3-4.7-17 0L25 247.5c-4.6 4.7-4.6 12.3.1 17z"/>\n    </symbol>\n    <symbol id="svg-trash" viewBox="0 0 448 512">\n      <path d="M336 64l-33.6-44.8C293.3 7.1 279.1 0 264 0h-80c-15.1 0-29.3 7.1-38.4 19.2L112 64H24C10.7 64 0 74.7 0 88v2c0 3.3 2.7 6 6 6h26v368c0 26.5 21.5 48 48 48h288c26.5 0 48-21.5 48-48V96h26c3.3 0 6-2.7 6-6v-2c0-13.3-10.7-24-24-24h-88zM184 32h80c5 0 9.8 2.4 12.8 6.4L296 64H152l19.2-25.6c3-4 7.8-6.4 12.8-6.4zm200 432c0 8.8-7.2 16-16 16H80c-8.8 0-16-7.2-16-16V96h320v368zm-176-44V156c0-6.6 5.4-12 12-12h8c6.6 0 12 5.4 12 12v264c0 6.6-5.4 12-12 12h-8c-6.6 0-12-5.4-12-12zm-80 0V156c0-6.6 5.4-12 12-12h8c6.6 0 12 5.4 12 12v264c0 6.6-5.4 12-12 12h-8c-6.6 0-12-5.4-12-12zm160 0V156c0-6.6 5.4-12 12-12h8c6.6 0 12 5.4 12 12v264c0 6.6-5.4 12-12 12h-8c-6.6 0-12-5.4-12-12z"/>\n    </symbol>\n</svg>\n        ';e.create(),kr["foreground-color"]=[];for(const e of Object.keys(h))kr["foreground-color"].push({class:"small-button",content:'<span style="border-radius:50%;width:32px;height:32px; box-sizing: border-box; border: 3px solid '+h[e]+'"></span>',command:["applyStyle",{color:e}]});kr["background-color"]=[];for(const e of Object.keys(p))kr["background-color"].push({class:"small-button",content:'<span style="border-radius:50%;width:32px;height:32px; background:'+p[e]+'"></span>',command:["applyStyle",{backgroundColor:e}]});xr={...kr};for(const e of Object.keys(xr))xr[e]=xr[e].slice();for(let e=0;e<26;e++){const t="ABCDEFGHIJKLMNOPQRSTUVWXYZ"[e];xr[t]||(xr[t]=[]),xr[t].unshift({latex:"\\mathbb{"+t+"}",aside:"blackboard",insert:"\\mathbb{"+t+"}"}),xr[t].unshift({latex:"\\mathbf{"+t+"}",aside:"bold",insert:"\\mathbf{"+t+"}"}),xr[t].unshift({latex:"\\mathsf{"+t+"}",aside:"sans",insert:"\\mathsf{"+t+"}"}),xr[t].unshift({latex:"\\mathtt{"+t+"}",aside:"monospace",insert:"\\mathtt{"+t+"}"}),xr[t].unshift({latex:"\\mathcal{"+t+"}",aside:"calligraphy",insert:"\\mathcal{"+t+"}"}),xr[t].unshift({latex:"\\mathfrak{"+t+"}",aside:"fraktur",insert:"\\mathfrak{"+t+"}"})}for(let e=0;e<=26;e++){const t="abcdefghijklmnopqrstuvwxyz"[e];xr[t]||(xr[t]=[]),xr[t].unshift({latex:"\\mathsf{"+t+"}",aside:"sans",insert:"\\mathsf{"+t+"}"}),xr[t].unshift({latex:"\\mathbf{"+t+"}",aside:"bold",insert:"\\mathbf{"+t+"}"}),xr[t].unshift({latex:"\\mathtt{"+t+"}",aside:"monospace",insert:"\\mathtt{"+t+"}"}),xr[t].unshift({latex:"\\mathfrak{"+t+"}",aside:"fraktur",insert:"\\mathfrak{"+t+"}"})}for(let e=0;e<10;e++){const t="0123456789"[e];xr[t]||(xr[t]=[]),xr[t].unshift({latex:"\\mathbf{"+t+"}",aside:"bold",insert:"\\mathbf{"+t+"}"}),xr[t].unshift({latex:"\\mathsf{"+t+"}",aside:"sans",insert:"\\mathsf{"+t+"}"}),xr[t].unshift({latex:"\\mathtt{"+t+"}",aside:"monospace",insert:"\\mathtt{"+t+"}"}),xr[t].unshift({latex:"\\mathcal{"+t+"}",aside:"script",insert:"\\mathcal{"+t+"}"}),xr[t].unshift({latex:"\\mathfrak{"+t+"}",aside:"fraktur",insert:"\\mathfrak{"+t+"}"})}let l=e.options.virtualKeyboards;l||(l="all"),l=l.replace(/\ball\b/i,"numeric functions symbols roman  greek");const d={...wr,...null!==(a=e.options.customVirtualKeyboardLayers)&&void 0!==a?a:{}},c={...gr,...null!==(o=e.options.customVirtualKeyboards)&&void 0!==o?o:{}},u=l.replace(/\s+/g," ").split(" ");for(const t of u){if(!c[t])continue;let a=null!==(r=c[t].layers)&&void 0!==r?r:[];c[t].layer&&a.push(c[t].layer),a=[...new Set(a)];for(const i of a){if(!d[i])break;if("object"==typeof d[i]){const e=d[i];let t="";if("string"==typeof e.styles?t+=`<style>${e.styles}</style>`:"object"==typeof e.styles&&(t+=`<style>${Ar(e.styles)}</style>`),e.backdrop&&(t+=`<div class='${e.backdrop}'>`),e.container&&(t+=`<div class='${e.container}'>`),e.rows){t+="<div class='rows'>";for(const a of e.rows){t+="<ul>";for(const e of a){if(t+="<li",e.class){let a=e.class;e.layer&&!/layer-switch/.test(a)&&(a+=" layer-switch"),/separator/.test(a)||(a+=" keycap"),t+=` class="${a}"`}else t+=' class="keycap"';if(e.key&&(t+=` data-key="${e.key}"`),e.command&&("string"==typeof e.command?t+=` data-command='"${e.command}"'`:(t+=" data-command='",t+=JSON.stringify(e.command),t+="'")),e.insert&&(t+=` data-insert="${e.insert}"`),e.latex&&(t+=` data-latex="${e.latex}"`),e.aside&&(t+=` data-aside="${e.aside}"`),e.variants){const a=Date.now().toString(36).slice(-2)+Math.floor(1e5*Math.random()).toString(36);xr[a]=e.variants,t+=` data-alt-keys="${a}"`}e.shifted&&(t+=` data-shifted="${e.shifted}"`),e.shiftedCommand&&(t+=` data-shifted-command="${e.shiftedCommand}"`),e.layer&&(t+=` data-layer="${e.layer}"`),t+=`>${e.label?e.label:""}</li>`}t+="</ul>"}t+="</div>"}e.container&&(t+="</div>"),e.backdrop&&(t+="</div>"),d[i]=t}s+=`<div tabindex="-1" class='keyboard-layer' data-layer='${i}'>`,s+=Sr(e.options,l,t);const a=d[i];"string"==typeof a&&(s+=Lr(e.options,a)),s+="</div>"}}const m=document.createElement("div");m.className="ML__keyboard",t?m.classList.add(t):e.options.virtualKeyboardTheme&&m.classList.add(e.options.virtualKeyboardTheme);const f=document.createElement("div");f.className="ML__keyboard--plate",f.innerHTML=e.options.createHTML(s),m.appendChild(f);const y=m.querySelectorAll(".keycap, .action, .fnbutton, .bigfnbutton");for(const e of y)e.id="ML__k"+Date.now().toString(36).slice(-2)+Math.floor(1e5*Math.random()).toString(36);Mr(e,[...y]);const b=m.querySelectorAll(".layer-switch");for(const t of b)t.classList.contains("shift")?mr((t=>e.executeCommand(t)),t,{pressed:"shiftKeyboardLayer",default:["switchKeyboardLayer",t.getAttribute("data-layer")],pressAndHoldEnd:"unshiftKeyboardLayer"}):mr((t=>e.executeCommand(t)),t,{default:["switchKeyboardLayer",t.getAttribute("data-layer")]});const g=m.querySelectorAll(".keyboard-layer");for(const e of g)e.addEventListener("mousedown",(e=>{e.preventDefault(),e.stopPropagation()})),e.addEventListener("touchstart",(e=>{e.preventDefault(),e.stopPropagation()}),{passive:!1});return null===(n=g[0])||void 0===n||n.classList.add("is-visible"),m}(this,null!=e?e:""),oi(this.element,"touchstart:passive mousedown",(()=>this.focusMathfield())),null===(t=this.options.virtualKeyboardContainer)||void 0===t||t.appendChild(this.element)}handleEvent(e){if(this.element)switch(e.type){case"mouseup":case"blur":case"touchend":case"touchcancel":document.body.style.userSelect="",Cr(this)}}focusMathfield(){var e,t;null===(t=null===(e=this._mathfield)||void 0===e?void 0:e.focus)||void 0===t||t.call(e)}blurMathfield(){var e,t;null===(t=null===(e=this._mathfield)||void 0===e?void 0:e.blur)||void 0===t||t.call(e)}stateChanged(){var e,t;null===(t=null===(e=this._mathfield)||void 0===e?void 0:e.element)||void 0===t||t.dispatchEvent(new Event("virtual-keyboard-toggle",{bubbles:!0,cancelable:!1,composed:!0}))}executeCommand(e){var a,i,o;let r,n=[];return t(e)?(r=e[0],n=e.slice(1)):r=e,r=r.replace(/-\w/g,(e=>e[1].toUpperCase())),"virtual-keyboard"===(null===(a=uo[r])||void 0===a?void 0:a.target)?uo[r].fn(this,...n):null!==(o=null===(i=this._mathfield)||void 0===i?void 0:i.executeCommand(e))&&void 0!==o&&o}create(){this.virtualKeyboardStylesheet||(fr||(fr=Mi(hr).toString(36)),this.virtualKeyboardStylesheet=Li(null,hr,fr)),this.coreStylesheet||(this.coreStylesheet=Li(null,Vi,Mi(Vi).toString(36))),null!==this.options.fontsDirectory&&Do(this.options.fontsDirectory)}enable(){a()&&(window.addEventListener("mouseup",this),window.addEventListener("blur",this),window.addEventListener("touchend",this),window.addEventListener("touchcancel",this))}disable(){a()&&(window.removeEventListener("mouseup",this),window.removeEventListener("blur",this),window.removeEventListener("touchend",this),window.removeEventListener("touchcancel",this))}dispose(){}}const gr={numeric:{tooltip:"keyboard.tooltip.numeric",layer:"math",label:"123",layers:["math"]},roman:{tooltip:"keyboard.tooltip.roman",layer:"lower-roman",label:"ABC",layers:["lower-roman","upper-roman"]},greek:{tooltip:"keyboard.tooltip.greek",layer:"lower-greek",label:"&alpha;&beta;&gamma;",classes:"tex-math",layers:["lower-greek","upper-greek"]},functions:{tooltip:"keyboard.tooltip.functions",layer:"functions",label:"<i>f</i>&thinsp;()",classes:"tex",layers:["functions"]},symbols:{tooltip:"keyboard.tooltip.symbols",layer:"symbols",label:"&infin;\u2260\u2208",classes:"tex",layers:["symbols"]},latex:{tooltip:"keyboard.tooltip.command",command:["switchMode","latex"],label:"<svg class=\"svg-glyph\"><use xlink:href='#svg-command' /></svg>",layers:["latex-lower","latex-upper","latex-symbols"]},style:{tooltip:"keyboard.tooltip.style",layer:"style",label:"<b>b</b><i>i</i>\u{1d539}"}},vr={"\\varphi ":["&Phi;","\\Phi "],"\\varsigma ":["&Sigma;","\\Sigma "],"\\epsilon ":["&#x0190;",'\\char"0190'],"\\rho ":["&#x3A1",'\\char"3A1'],"\\tau ":["&#x3A4;",'\\char"3A4'],"\\upsilon ":["&Upsilon;","\\Upsilon "],"\\theta ":["&Theta;","\\Theta "],"\\iota ":["&Iota;",'\\char"399'],"\\omicron ":["&#x039F;",'\\char"39F'],"\\pi ":["&Pi;","\\Pi "],"\\alpha ":["&Alpha;",'\\char"391'],"\\sigma ":["&Sigma;","\\Sigma "],"\\delta ":["&Delta;","\\Delta "],"\\phi ":["&#x03a6;","\\Phi "],"\\gamma ":["&Gamma;","\\Gamma "],"\\eta ":["&Eta;",'\\char"397'],"\\xi ":["&Xi;","\\Xi "],"\\kappa ":["&Kappa;",'\\char"39A'],"\\lambda ":["&Lambda;","\\Lambda "],"\\zeta ":["&Zeta;",'\\char"396'],"\\chi ":["&Chi;",'\\char"3A7'],"\\psi ":["&Psi;","\\Psi "],"\\omega ":["&Omega;","\\Omega "],"\\beta ":["&Beta;",'\\char"392'],"\\nu ":["&Nu;",'\\char"39D'],"\\mu ":["&Mu;",'\\char"39C']},kr={0:["\\emptyset","\\varnothing","\\infty",{latex:"#?_0",insert:"#@_0"},"\\circ","\\bigcirc","\\bullet"],2:["\\frac{1}{2}",{latex:"#?^2",insert:"#@^2"}],3:["\\frac{1}{3}",{latex:"#?^3",insert:"#@^3"}],".":[".",",",";","\\colon",{latex:":",aside:"ratio"},{latex:"\\cdotp",aside:"center dot",class:"box"},{latex:"\\cdots",aside:"center ellipsis",class:"box"},{latex:"\\ldotp",aside:"low dot",class:"box"},{latex:"\\ldots",aside:"low ellipsis",class:"box"},{latex:"\\vdots",aside:"",class:"box"},{latex:"\\ddots",aside:"",class:"box"},"\\odot","\\oslash","\\circledcirc"],"*":["\\cdot","\\ast","\\star","\\bigstar","\\ltimes","\\rtimes","\\rightthreetimes","\\leftthreetimes","\\intercal","\\prod",{latex:"\\prod_{n\\mathop=0}^{\\infty}",class:"small"}],"+":["\\pm","\\mp","\\sum",{latex:"\\sum_{n\\mathop=0}^{\\infty}",class:"small"},"\\dotplus","\\oplus"],"-":["\\pm","\\mp","\\ominus","\\vert #0  \\vert"],"/":["\\divideontimes","/","\\div","\\%"],"(":["\\left( #0\\right)","\\left[ #0\\right]","\\left\\{ #0\\right\\}","\\left\\langle #0\\right\\rangle","\\lfloor","\\llcorner","(","\\lbrack","\\lvert","\\lVert","\\lgroup","\\langle","\\lceil","\\ulcorner","\\lmoustache","\\lbrace"],")":["\\rfloor","\\lrcorner",")","\\rbrack","\\rvert","\\rVert","\\rgroup","\\rangle","\\rceil","\\urcorner","\\rmoustache","\\rbrace"],"=":["\\cong","\\asymp","\\equiv","\\differencedelta","\\varpropto","\\thickapprox","\\approxeq","\\thicksim","\\backsim","\\eqsim","\\simeq","\\Bumpeq","\\bumpeq","\\doteq","\\Doteq","\\fallingdotseq","\\risingdotseq","\\coloneq","\\eqcirc","\\circeq","\\triangleq","\\between"],"!=":["\\neq","\\ncong","","\\nsim"],"<":["\\leq","\\leqq","\\lneqq","\\ll","\\lessgtr","\\nless","\\nleq","\\lesssim","\\precsim","\\prec","\\nprec","\\preccurlyeq","\\lessdot"],">":["\\geq","\\geqq","\\gneqq","\\gg","\\gtrless","\\ngtr","\\ngeq","\\gtrsim","\\succsim","\\succ","\\nsucc","\\succcurlyeq","\\gtrdot"],in:["\\owns"],"!in":["\\backepsilon"],subset:["\\subseteq","\\nsubset","\\nsubseteq"],superset:["\\supseteq","\\nsupset","\\nsupseteq"],infinity:["\\aleph_0","\\aleph_1","\\omega","\\mathfrak{m}"],"numeric-pi":["\\prod","\\theta","\\rho","\\sin","\\cos","\\tan"],ee:["\\times 10^{#?}","\\ln","\\ln_{10}","\\log"],"^":["_{#?}"],int:[{latex:"\\int_{#?}^{#?}",class:"small"},{latex:"\\int",class:"small"},{latex:"\\smallint",class:"small"},{latex:"\\iint",class:"small"},{latex:"\\iiint",class:"small"},{latex:"\\oint",class:"small"},{latex:"\\dfrac{\\rd}{\\rd x}",class:"small"},{latex:"\\frac{\\partial}{\\partial x}",class:"small"},"\\capitalDifferentialD","\\rd","\\partial"],nabla:["\\nabla\\times","\\nabla\\cdot","\\nabla^{2}"],"!":["!!","\\Gamma","\\Pi"],accents:["\\bar{#@}","\\vec{#@}","\\hat{#@}","\\check{#@}","\\dot{#@}","\\ddot{#@}","\\mathring{#@}","\\breve{#@}","\\acute{#@}","\\tilde{#@}","\\grave{#@}"],underline:["\\underbrace{#@}","\\underlinesegment{#@}","\\underleftrightarrow{#@}","\\underrightarrow{#@}","\\underleftarrow{#@}","\\undergroup{#@}"],overline:["\\overbrace{#@}","\\overlinesegment{#@}","\\overleftrightarrow{#@}","\\overrightarrow{#@}","\\overleftarrow{#@}","\\overgroup{#@}"],xleftarrows:["\\xlongequal{#@}","\\xleftrightarrow{#@}","\\xLeftrightarrow{#@}","\\xleftrightharpoons{#@}","\\xLeftarrow{#@}","\\xleftharpoonup{#@}","\\xleftharpoondown{#@}","\\xtwoheadleftarrow{#@}","\\xhookleftarrow{#@}","\\xtofrom{#@}","\\xleftequilibrium{#@}","\\xrightleftarrows{#@}"],xrightarrows:["\\xrightarrow{#@}","\\xlongequal{#@}","\\xleftrightarrow{#@}","\\xLeftrightarrow{#@}","\\xleftrightharpoons{#@}","\\xRightarrow{#@}","\\xrightharpoonup{#@}","\\xrightharpoondown{#@}","\\xtwoheadrightarrow{#@}","\\xrightleftharpoons{#@}","\\xhookrightarrow{#@}","\\xmapsto{#@}","\\xrightequilibrium{#@}","\\xrightleftarrows{#@}"],A:[{latex:"\\aleph",aside:"aleph"},{latex:"\\forall",aside:"for all"}],a:[{latex:"\\aleph",aside:"aleph"},{latex:"\\forall",aside:"for all"}],b:[{latex:"\\beth",aside:"beth"}],B:[{latex:"\\beth",aside:"beth"}],c:[{latex:"\\C",aside:"set of complex numbers"}],d:[{latex:"\\daleth",aside:"daleth"}],D:[{latex:"\\daleth",aside:"daleth"}],e:[{latex:"\\exponentialE",aside:"exponential e"},{latex:"\\exists",aside:"there is"},{latex:"\\nexists",aside:"there isn\u2019t"}],g:[{latex:"\\gimel",aside:"gimel"}],G:[{latex:"\\gimel",aside:"gimel"}],h:[{latex:"\\hbar",aside:"h bar"},{latex:"\\hslash",aside:"h slash"}],i:[{latex:"\\imaginaryI",aside:"imaginary i"}],j:[{latex:"\\imaginaryJ",aside:"imaginary j"}],l:[{latex:"\\ell",aside:"ell"}],n:[{latex:"\\mathbb{N}",aside:"set of natural numbers"}],p:[{latex:"\\mathbb{P}",aside:"set of primes"}],q:[{latex:"\\mathbb{Q}",aside:"set of rational numbers"}],r:[{latex:"\\mathbb{R}",aside:"set of real numbers"}],z:[{latex:"\\mathbb{Z}",aside:"set of integers"}],"x-var":["y","z","t","r",{latex:"f(#?)",class:"small"},{latex:"g(#?)",class:"small"},"x^2","x^n","x_n","x_{n+1}","x_i","x_{i+1}"],"n-var":["i","j","p","k","a","u"],ii:["\\Re","\\Im","\\imaginaryJ","\\Vert #0 \\Vert"],logic:[{latex:"\\exists",aside:"there is"},{latex:"\\nexists",aside:"there isn\u2019t"},{latex:"\\ni",aside:"such that"},{latex:"\\Colon",aside:"such that"},{latex:"\\implies",aside:"implies"},{latex:"\\impliedby",aside:"implied by"},{latex:"\\iff",aside:"if and only if"},{latex:"\\land",aside:"and"},{latex:"\\lor",aside:"or"},{latex:"\\oplus",aside:"xor"},{latex:"\\lnot",aside:"not"},{latex:"\\downarrow",aside:"nor"},{latex:"\\uparrow",aside:"nand"},{latex:"\\curlywedge",aside:"nor"},{latex:"\\bar\\curlywedge",aside:"nand"},{latex:"\\therefore",aside:"therefore"},{latex:"\\because",aside:"because"},{latex:"^\\biconditional",aside:"biconditional"},"\\leftrightarrow","\\Leftrightarrow","\\to","\\models","\\vdash","\\gets","\\dashv","\\roundimplies"],"set-operators":["\\cap","\\cup","\\setminus","\\smallsetminus","\\complement"],"set-relations":["\\in","\\notin","\\ni","\\owns","\\subset","\\supset","\\subseteq","\\supseteq","\\subsetneq","\\supsetneq","\\varsubsetneq","\\subsetneqq","\\nsubset","\\nsupset","\\nsubseteq","\\nsupseteq"],space:[{latex:'\\char"203A\\!\\char"2039',insert:"\\!",aside:"negative thin space<br>\u207b\xb3\u29f8\u2081\u2088 em"},{latex:'\\unicode{"203A}\\,\\unicode{"2039}',insert:"\\,",aside:"thin space<br>\xb3\u29f8\u2081\u2088 em"},{latex:'\\unicode{"203A}\\:\\unicode{"2039}',insert:"\\:",aside:"medium space<br>\u2074\u29f8\u2081\u2088 em"},{latex:'\\unicode{"203A}\\;\\unicode{"2039}',insert:"\\;",aside:"thick space<br>\u2075\u29f8\u2081\u2088 em"},{latex:'\\unicode{"203A}\\ \\unicode{"2039}',insert:"\\ ",aside:"\u2153 em"},{latex:'\\unicode{"203A}\\enspace\\unicode{"2039}',insert:"\\enspace",aside:"\xbd em"},{latex:'\\unicode{"203A}\\quad\\unicode{"2039}',insert:"\\quad",aside:"1 em"},{latex:'\\unicode{"203A}\\qquad\\unicode{"2039}',insert:"\\qquad",aside:"2 em"}],delete:[{label:'<span class="warning"><svg class="svg-glyph"><use xlink:href="#svg-trash" /></svg></span>',command:"deleteAll"}],"->|":[]};let xr={};const wr={math:"\n        <div class='rows'>\n            <ul>\n                <li class='keycap tex' data-alt-keys='x-var'><i>x</i></li>\n                <li class='keycap tex' data-alt-keys='n-var'><i>n</i></li>\n                <li class='separator w5'></li>\n                <row name='numpad-1'/>\n                <li class='separator w5'></li>\n                <li class='keycap tex' data-latex='\\exponentialE' data-alt-keys='ee'>e</li>\n                <li class='keycap tex' data-latex='\\imaginaryI' data-alt-keys='ii'>i</li>\n                <li class='keycap tex' data-latex='\\pi' data-alt-keys='numeric-pi'></li>\n            </ul>\n            <ul>\n                <li class='keycap tex' data-key='<' data-alt-keys='<'>&lt;</li>\n                <li class='keycap tex' data-key='>' data-alt-keys='>'>&gt;</li>\n                <li class='separator w5'></li>\n                <row name='numpad-2'/>\n                <li class='separator w5'></li>\n                <li class='keycap tex' data-latex='#@^{2}' data-latex='x^2'></li>\n                <li class='keycap tex' data-alt-keys='^' data-insert='#@^{#?}' data-latex='x^\\placeholder'></li>\n                <li class='keycap tex small' data-insert='\\sqrt{#0}' data-latex='\\sqrt{#0}'></li>\n            </ul>\n            <ul>\n                <li class='keycap tex' data-alt-keys='(' >(</li>\n                <li class='keycap tex' data-alt-keys=')' >)</li>\n                <li class='separator w5'></li>\n                <row name='numpad-3'/>\n                <li class='separator w5'></li>\n                <li class='keycap small' data-alt-keys='int' data-latex='\\int_0^\\infty'></li>\n                <li class='keycap' data-latex='\\forall' data-alt-keys='logic' ></li>\n                <li class='action font-glyph bottom right' data-alt-keys='delete' data-command='[\"performWithFeedback\",\"deleteBackward\"]'><svg class=\"svg-glyph\"><use xlink:href=\"#svg-delete-backward\" /></svg></li></ul>\n            </ul>\n            <ul>\n                <li class='keycap' data-alt-keys='foreground-color' data-command='[\"applyStyle\",{\"color\":\"red\"}]'><span style='border-radius: 50%;width:22px;height:22px; border: 3px solid #cc2428; box-sizing: border-box'></span></li>\n                <li class='keycap' data-alt-keys='background-color' data-command='[\"applyStyle\",{\"backgroundColor\":\"yellow\"}]'><span style='border-radius: 50%;width:22px;height:22px; background:#fff590; box-sizing: border-box'></span></li>\n                <li class='separator w5'></li>\n                <row name='numpad-4'/>\n                <li class='separator w5'></li>\n                <arrows/>\n            </ul>\n        </div>\n    ","lower-roman":"\n        <div class='rows'>\n            <ul>\n                <row name='numpad-1' class='if-wide'/>\n                <row name='lower-1' shift-layer='upper-roman'/>\n            </ul>\n            <ul>\n                <row name='numpad-2' class='if-wide'/>\n                <row name='lower-2'  shift-layer='upper-roman''/>\n            </ul>\n            <ul>\n                <row name='numpad-3' class='if-wide'/>\n                <row name='lower-3'  shift-layer='upper-roman''/>\n            </ul>\n            <ul>\n                <row name='numpad-4' class='if-wide'/>\n                <li class='keycap' >;</li>\n                <li class='keycap' >,</li>\n                <li class='keycap w50' data-key=' ' data-alt-keys='space'>&nbsp;</li>\n                <arrows/>\n            </ul>\n        </div>","upper-roman":"\n        <div class='rows'>\n            <ul>\n                <row name='numpad-1' class='if-wide'/>\n                <row name='upper-1'  shift-layer='lower-roman'/>\n            </ul>\n            <ul>\n                <row name='numpad-2' class='if-wide'/>\n                <row name='upper-2' shift-layer='lower-roman'/>\n            </ul>\n            <ul>\n                <row name='numpad-3' class='if-wide'/>\n                <row name='upper-3' shift-layer='lower-roman'/>\n            </ul>\n            <ul>\n                <row name='numpad-4' class='if-wide'/>\n                <li class='keycap' >;</li>\n                <li class='keycap' data-alt-keys='.'>;</li>\n                <li class='keycap w50' data-key=' '>&nbsp;</li>\n                <arrows/>\n            </ul>\n        </div>",symbols:"\n        <div class='rows'>\n            <ul>\n                <row name='numpad-1' class='if-wide'/>\n                <li class='keycap tex' data-alt-keys='(' data-insert='\\lbrace '>{</li>\n                <li class='keycap tex' data-alt-keys=')' data-insert='\\rbrace '>}</li>\n                <li class='separator w5'></li>\n                <li class='keycap tex small' data-alt-keys='xleftarrows' data-latex='\\leftarrow' ></li>\n                <li class='keycap tex small' data-alt-keys='xrightarrows' data-latex='\\rightarrow' ></li>\n                <li class='keycap tex' data-alt-keys='overline' data-latex='\\overline{#@}' data-aside='overline'></li>\n                <li class='keycap tex' data-alt-keys='underline' data-latex='\\underline{#@}' data-aside='underline'></li>\n                <li class='keycap w15' data-insert='\\ulcorner#0\\urcorner '><span><sup>&#x250c;</sup><span><span style='color:#ddd'>o</span><sup>&#x2510;</sup></span><aside>ceil</aside></li>\n                <li class='keycap tex' data-alt-keys='nabla' data-insert='\\nabla '>&#x2207;<aside>nabla</aside></li>\n                <li class='keycap tex' data-alt-keys='infinity' data-insert='\\infty '>&#x221e;</li>\n\n            </ul>\n            <ul>\n                <row name='numpad-2' class='if-wide'/>\n                <li class='keycap tex' data-alt-keys='(' data-insert='\\lbrack '>[</li>\n                <li class='keycap tex' data-alt-keys=')' data-insert='\\rbrack '>]</li>\n                <li class='separator w5'></li>\n\n                <li class='keycap tex' data-alt-keys='in' data-insert='\\in '>&#x2208;</li>\n                <li class='keycap tex' data-alt-keys='!in' data-insert='\\notin '>&#x2209;</li>\n                <li class='keycap tex' data-insert='\\Re '>&#x211c;<aside>Real</aside></li>\n                <li class='keycap tex' data-insert='\\Im '>&#x2111;<aside>Imaginary</aside></li>\n                <li class='keycap w15' data-insert='\\llcorner#0\\lrcorner '><span><sub>&#x2514;</sub><span style='color:#ddd'>o</span><sub>&#x2518;</sub></span><aside>floor</aside></li>\n\n                <li class='keycap tex' data-insert='\\partial '>&#x2202;<aside>partial<br>derivative</aside></li>\n                <li class='keycap tex' data-insert='\\emptyset '>&#x2205;<aside>empty set</aside></li>\n\n            </ul>\n            <ul>\n                <row name='numpad-3' class='if-wide'/>\n                <li class='keycap tex' data-alt-keys='(' data-insert='\\langle '>&#x27e8;</li>\n                <li class='keycap tex' data-alt-keys=')' data-insert='\\rangle '>&#x27e9;</li>\n                <li class='separator w5'></li>\n                <li class='keycap tex' data-alt-keys='subset' data-insert='\\subset '>&#x2282;</li>\n                <li class='keycap tex' data-alt-keys='superset' data-insert='\\supset '>&#x2283;</li>\n\n                <li class='keycap tex' data-alt-keys='accents' data-insert='\\vec{#@}' data-latex='\\vec{#?}' data-aside='vector'></li>\n                <li class='keycap tex' data-alt-keys='absnorm' data-insert='\\left| #0 \\right|' data-latex='\\left| #? \\right|' data-aside='abs'></li>\n\n                <li class='keycap tex' data-key='!' data-alt-keys='!'>!<aside>factorial</aside></li>\n                <li class='keycap' data-latex='^{\\prime} '><span><sup><span><span style='color:#ddd'>o</span>&#x2032</sup></span><aside>prime</aside></li>\n\n                <li class='action font-glyph bottom right w15'\n                    data-shifted='<span class=\"warning\"><svg class=\"svg-glyph\"><use xlink:href=\"#svg-trash\" /></svg></span>'\n                    data-shifted-command='\"deleteAll\"'\n                    data-alt-keys='delete' data-command='[\"performWithFeedback\",\"deleteBackward\"]'\n                ><svg class=\"svg-glyph\"><use xlink:href=\"#svg-delete-backward\" /></svg></li>\n            </ul>\n            <ul>\n                <row name='numpad-4' class='if-wide'/>\n                <li class='keycap tex' data-insert=','>,</li>\n                <li class='keycap tex' data-insert='\\cdot '>&#x22c5;<aside>centered dot</aside></li>\n                <li class='keycap tex' data-insert='\\colon '>:<aside>colon</aside></li>\n                <li class='keycap tex' data-insert='\\circ '>&#x2218;<aside>circle</aside></li>\n                <li class='keycap tex' data-insert='\\approx '>&#x2248;<aside>approx.</aside></li>\n                <li class='keycap tex' data-insert='\\ne '>&#x2260;</li>\n                <li class='keycap tex' data-insert='\\pm '>&#x00b1;</li>\n                <arrows/>\n            </ul>\n        </div>","lower-greek":"\n        <div class='rows'>\n            <ul><li class='keycap tex' data-insert='\\varphi '><i>&#x03c6;</i><aside>phi var.</aside></li>\n                <li class='keycap tex' data-insert='\\varsigma '><i>&#x03c2;</i><aside>sigma var.</aside></li>\n                <li class='keycap tex' data-insert='\\epsilon '><i>&#x03f5;</i></li>\n                <li class='keycap tex' data-insert='\\rho '><i>&rho;</i></li>\n                <li class='keycap tex' data-insert='\\tau '><i>&tau;</i></li>\n                <li class='keycap tex' data-insert='\\upsilon '><i>&upsilon;</i></li>\n                <li class='keycap tex' data-insert='\\theta '><i>&theta;</i></li>\n                <li class='keycap tex' data-insert='\\iota '><i>&iota;</i></li>\n                <li class='keycap tex' data-insert='\\omicron '>&omicron;</i></li>\n                <li class='keycap tex' data-insert='\\pi '><i>&pi;</i></li>\n            </ul>\n            <ul><li class='keycap tex' data-insert='\\alpha ' data-shifted='&Alpha;' data-shifted-command='[\"insert\",\"\\\\char\\\"391\"]'><i>&alpha;</i></li>\n                <li class='keycap tex' data-insert='\\sigma '><i>&sigma;</i></li>\n                <li class='keycap tex' data-insert='\\delta '><i>&delta;</i></li>\n                <li class='keycap tex' data-insert='\\phi '><i>&#x03d5;</i></i></li>\n                <li class='keycap tex' data-insert='\\gamma '><i>&gamma;</i></li>\n                <li class='keycap tex' data-insert='\\eta '><i>&eta;</i></li>\n                <li class='keycap tex' data-insert='\\xi '><i>&xi;</i></li>\n                <li class='keycap tex' data-insert='\\kappa '><i>&kappa;</i></li>\n                <li class='keycap tex' data-insert='\\lambda '><i>&lambda;</i></li>\n            </ul>\n            <ul><li class='shift modifier font-glyph bottom left w15 layer-switch' data-layer='upper-greek'><svg class=\"svg-glyph\"><use xlink:href=\"#svg-shift\" /></svg></li>\n                <li class='keycap tex' data-insert='\\zeta '><i>&zeta;</i></li>\n                <li class='keycap tex' data-insert='\\chi '><i>&chi;</i></li>\n                <li class='keycap tex' data-insert='\\psi '><i>&psi;</i></li>\n                <li class='keycap tex' data-insert='\\omega '><i>&omega;</i></li>\n                <li class='keycap tex' data-insert='\\beta '><i>&beta;</i></li>\n                <li class='keycap tex' data-insert='\\nu '><i>&nu;</i></li>\n                <li class='keycap tex' data-insert='\\mu '><i>&mu;</i></li>\n                <li class='action font-glyph bottom right w15'\n                    data-shifted='<span class=\"warning\"><svg class=\"svg-glyph\"><use xlink:href=\"#svg-trash\" /></svg></span>'\n                    data-shifted-command='\"deleteAll\"'\n                    data-alt-keys='delete' data-command='[\"performWithFeedback\",\"deleteBackward\"]'\n                ><svg class=\"svg-glyph\"><use xlink:href=\"#svg-delete-backward\" /></svg></li>\n            </ul>\n            <ul>\n                <li class='keycap ' data-key=' '>&nbsp;</li>\n                <li class='keycap'>,</li>\n                <li class='keycap tex' data-insert='\\varepsilon '><i>&#x03b5;</i><aside>epsilon var.</aside></li>\n                <li class='keycap tex' data-insert='\\vartheta '><i>&#x03d1;</i><aside>theta var.</aside></li>\n                <li class='keycap tex' data-insert='\\varkappa '><i>&#x3f0;</i><aside>kappa var.</aside></li>\n                <li class='keycap tex' data-insert='\\varpi '><i>&#x03d6;<aside>pi var.</aside></i></li>\n                <li class='keycap tex' data-insert='\\varrho '><i>&#x03f1;</i><aside>rho var.</aside></li>\n                <arrows/>\n            </ul>\n        </div>","upper-greek":"\n        <div class='rows'>\n            <ul><li class='keycap tex' data-insert='\\Phi '>&Phi;<aside>phi</aside></li>\n                <li class='keycap tex' data-insert='\\Sigma '>&Sigma;<aside>sigma</aside></li>\n                <li class='keycap tex' data-insert='\\char\"0190'>&#x0190;<aside>epsilon</aside></li>\n                <li class='keycap tex' data-insert='\\char\"3A1'>&#x3A1;<aside>rho</aside></li>\n                <li class='keycap tex' data-insert='\\char\"3A4'>&#x3A4;<aside>tau</aside></li>\n                <li class='keycap tex' data-insert='\\Upsilon '>&Upsilon;<aside>upsilon</aside></li>\n                <li class='keycap tex' data-insert='\\Theta '>&Theta;<aside>theta</aside></li>\n                <li class='keycap tex' data-insert='\\char\"399'>&Iota;<aside>iota</aside></li>\n                <li class='keycap tex' data-insert='\\char\"39F'>&#x039F;<aside>omicron</aside></li>\n                <li class='keycap tex' data-insert='\\Pi '>&Pi;<aside>pi</aside></li></ul>\n            <ul><li class='keycap tex' data-insert='\\char\"391'>&#x391;<aside>alpha</aside></li>\n                <li class='keycap tex' data-insert='\\Sigma '>&Sigma;<aside>sigma</aside></li>\n                <li class='keycap tex' data-insert='\\Delta '>&Delta;<aside>delta</aside></li>\n                <li class='keycap tex' data-insert='\\Phi '>&#x03a6;<aside>phi</aside></li>\n                <li class='keycap tex' data-insert='\\Gamma '>&Gamma;<aside>gamma</aside></li>\n                <li class='keycap tex' data-insert='\\char\"397'>&Eta;<aside>eta</aside></li>\n                <li class='keycap tex' data-insert='\\Xi '>&Xi;<aside>xi</aside></li>\n                <li class='keycap tex' data-insert='\\char\"39A'>&Kappa;<aside>kappa</aside></li>\n                <li class='keycap tex' data-insert='\\Lambda '>&Lambda;<aside>lambda</aside></li></ul>\n            <ul><li class='shift modifier font-glyph bottom left selected w15 layer-switch' data-layer='lower-greek'><svg class=\"svg-glyph\"><use xlink:href=\"#svg-shift\" /></svg></li>\n                <li class='keycap tex' data-insert='\\char\"396'>&Zeta;<aside>zeta</aside></li>\n                <li class='keycap tex' data-insert='\\char\"3A7'>&Chi;<aside>chi</aside></li>\n                <li class='keycap tex' data-insert='\\Psi '>&Psi;<aside>psi</aside></li>\n                <li class='keycap tex' data-insert='\\Omega '>&Omega;<aside>omega</aside></li>\n                <li class='keycap tex' data-insert='\\char\"392'>&Beta;<aside>beta</aside></li>\n                <li class='keycap tex' data-insert='\\char\"39D'>&Nu;<aside>nu</aside></li>\n                <li class='keycap tex' data-insert='\\char\"39C'>&Mu;<aside>mu</aside></li>\n                <li class='action font-glyph bottom right w15' data-command='[\"performWithFeedback\",\"deleteBackward\"]'><svg class=\"svg-glyph\"><use xlink:href=\"#svg-delete-backward\" /></svg></li></ul>\n            <ul>\n                <li class='separator w10'>&nbsp;</li>\n                <li class='keycap'>.</li>\n                <li class='keycap w50' data-key=' '>&nbsp;</li>\n                <arrows/>\n            </ul>\n        </div>","latex-lower":"\n        <div class='rows'>\n            <ul><row name='lower-1' class='tt' shift-layer='latex-upper'/></ul>\n            <ul><row name='lower-2' class='tt' shift-layer='latex-upper'/></ul>\n            <ul><row name='lower-3' class='tt' shift-layer='latex-upper'/></ul>\n            <ul>\n                <li class='layer-switch font-glyph modifier bottom left' data-layer='latex-symbols'>01#</li>\n                <li class='keycap tt' data-shifted='[' data-shifted-command='[\"insertAndUnshiftKeyboardLayer\", \"[\"]'>{</li>\n                <li class='keycap tt' data-shifted=']' data-shifted-command='[\"insertAndUnshiftKeyboardLayer\", \"]\"]'>}</li>\n                <li class='keycap tt' data-shifted='(' data-shifted-command='[\"insertAndUnshiftKeyboardLayer\", \"(\"]'>^</li>\n                <li class='keycap tt' data-shifted=')' data-shifted-command='[\"insertAndUnshiftKeyboardLayer\", \")\"]'>_</li>\n                <li class='keycap w20' data-key=' '>&nbsp;</li>\n                <arrows/>\n            </ul>\n        </div>","latex-upper":"\n        <div class='rows'>\n            <ul><row name='upper-1' class='tt' shift-layer='latex-lower'/></ul>\n            <ul><row name='upper-2' class='tt' shift-layer='latex-lower'/></ul>\n            <ul><row name='upper-3' class='tt' shift-layer='latex-lower'/></ul>\n            <ul>\n                <li class='layer-switch font-glyph modifier bottom left' data-layer='latex-symbols'01#</li>\n                <li class='keycap tt'>[</li>\n                <li class='keycap tt'>]</li>\n                <li class='keycap tt'>(</li>\n                <li class='keycap tt'>)</li>\n                <li class='keycap w20' data-key=' '>&nbsp;</li>\n                <arrows/>\n            </ul>\n        </div>","latex-symbols":"\n        <div class='rows'>\n            <ul><li class='keycap tt'>1</li><li class='keycap tt'>2</li><li class='keycap tt'>3</li><li class='keycap tt'>4</li><li class='keycap tt'>5</li><li class='keycap tt'>6</li><li class='keycap tt'>7</li><li class='keycap tt'>8</li><li class='keycap tt'>9</li><li class='keycap tt'>0</li></ul>\n            <ul><li class='keycap tt'>!</li><li class='keycap tt'>@</li><li class='keycap tt'>#</li><li class='keycap tt'>$</li><li class='keycap tt'>%</li><li class='keycap tt'>^</li><li class='keycap tt'>&</li><li class='keycap tt'>*</li><li class='keycap tt'>+</li><li class='keycap tt'>=</li></ul>\n            <ul>\n                <li class='keycap tt'>\\</li>\n                <li class='keycap tt'>|</li>\n                <li class='keycap tt'>/</li>\n                <li class='keycap tt'>`</li>\n                <li class='keycap tt'>;</li>\n                <li class='keycap tt'>:</li>\n                <li class='keycap tt'>?</li>\n                <li class='keycap tt'>'</li>\n                <li class='keycap tt'>\"</li>\n                <li class='action font-glyph bottom right'\n                    data-shifted='<span class=\"warning\"><svg class=\"svg-glyph\"><use xlink:href=\"#svg-trash\" /></svg></span>'\n                    data-shifted-command='\"deleteAll\"'\n                    data-alt-keys='delete' data-command='[\"performWithFeedback\",\"deleteBackward\"]'\n                ><svg class=\"svg-glyph\"><use xlink:href=\"#svg-delete-backward\" /></svg></li>\n            </ul>\n            <ul>\n                <li class='layer-switch font-glyph modifier bottom left' data-layer='latex-lower'>abc</li>\n                <li class='keycap tt'>&lt;</li>\n                <li class='keycap tt'>&gt;</li>\n                <li class='keycap tt'>~</li>\n                <li class='keycap tt'>,</li>\n                <li class='keycap tt'>.</li>\n                <li class='keycap' data-key=' '>&nbsp;</li>\n                <arrows/>\n            </ul>\n        </div>",functions:"\n        <div class='rows'>\n            <ul><li class='separator'></li>\n                <li class='fnbutton' data-insert='\\sin'></li>\n                <li class='fnbutton' data-insert='\\sin^{-1}'></li>\n                <li class='fnbutton' data-insert='\\ln'></li>\n                <li class='fnbutton' data-insert='\\exponentialE^{#?}'></li>\n                <li class='bigfnbutton' data-insert='\\operatorname{lcm}(#?)' data-latex='\\operatorname{lcm}()'></li>\n                <li class='bigfnbutton' data-insert='\\operatorname{ceil}(#?)' data-latex='\\operatorname{ceil}()'></li>\n                <li class='bigfnbutton' data-insert='\\lim_{n\\to\\infty}'></li>\n                <li class='bigfnbutton' data-insert='\\int'></li>\n                <li class='bigfnbutton' data-insert='\\operatorname{abs}(#?)' data-latex='\\operatorname{abs}()'></li>\n            </ul>\n            <ul><li class='separator'></li>\n                <li class='fnbutton' data-latex='\\cos'></li>\n                <li class='fnbutton' data-latex='\\cos^{-1}'></li>\n                <li class='fnbutton' data-latex='\\ln_{10}'></li>\n                <li class='fnbutton' data-latex='10^{#?}'></li>\n                <li class='bigfnbutton' data-latex='\\operatorname{gcd}(#?)' data-latex='\\operatorname{gcd}()'></li>\n                <li class='bigfnbutton' data-latex='\\operatorname{floor}(#?)' data-latex='\\operatorname{floor}()'></li>\n                <li class='bigfnbutton' data-latex='\\sum_{n\\mathop=0}^{\\infty}'></li>\n                <li class='bigfnbutton' data-latex='\\int_{0}^{\\infty}'></li>\n                <li class='bigfnbutton' data-latex='\\operatorname{sign}(#?)' data-latex='\\operatorname{sign}()'></li>\n            </ul>\n            <ul><li class='separator'></li>\n                <li class='fnbutton' data-latex='\\tan'></li>\n                <li class='fnbutton' data-latex='\\tan^{-1}'></li>\n                <li class='fnbutton' data-latex='\\log_{#?}'></li>\n                <li class='fnbutton' data-latex='\\sqrt[#?]{#0}'></li>\n                <li class='bigfnbutton' data-insert='#0 \\mod' data-latex='\\mod'></li>\n                <li class='bigfnbutton' data-insert='\\operatorname{round}(#?) ' data-latex='\\operatorname{round}()'></li>\n                <li class='bigfnbutton' data-insert='\\prod_{n\\mathop=0}^{\\infty}' data-latex='{\\scriptstyle \\prod_{n=0}^{\\infty}}'></li>\n                <li class='bigfnbutton' data-insert='\\frac{\\differentialD #0}{\\differentialD x}'></li>\n                <li class='action font-glyph bottom right' data-command='[\"performWithFeedback\",\"deleteBackward\"]'><svg class=\"svg-glyph\"><use xlink:href=\"#svg-delete-backward\" /></svg></li></ul>\n            <ul><li class='separator'></li>\n                <li class='fnbutton'>(</li>\n                <li class='fnbutton'>)</li>\n                <li class='fnbutton' data-insert='^{#?}' data-latex='x^{#?}'></li>\n                <li class='fnbutton' data-insert='_{#?}' data-latex='x_{#?}'></li>\n                <li class='keycap w20 ' data-key=' '>&nbsp;</li>\n                <arrows/>\n            </ul>\n        </div>",style:"\n        <div class='rows'>\n            <ul>\n                <li class='keycap' data-alt-keys='foreground-color' data-command='[\"applyStyle\",{\"color\":\"red\"}]'><span style='border-radius: 50%;width:22px;height:22px; border: 3px solid #cc2428'></span></li>\n                <li class='keycap' data-alt-keys='background-color' data-command='[\"applyStyle\",{\"backgroundColor\":\"yellow\"}]'><span style='border-radius: 50%;width:22px;height:22px; background:#fff590'></span></li>\n                <li class='separator w5'></li>\n                <li class='keycap' data-command='[\"applyStyle\",{\"size\":\"3\"}]' data-latex='\\scriptsize\\text{small}'></li>\n                <li class='keycap' data-command='[\"applyStyle\",{\"size\":\"5\"}]' data-latex='\\scriptsize\\text{normal}'></li>\n                <li class='keycap' data-command='[\"applyStyle\",{\"size\":\"9\"}]' data-latex='\\huge\\text{big}'></li>\n                <li class='separator w5'></li>\n                <li class='keycap' data-latex='\\langle' data-command='[\"insert\", \"\\\\langle\", {\"smartFence\":true}]'></li>\n            </ul>\n            <ul>\n                <li class='keycap' data-command='[\"applyStyle\",{\"series\":\"l\"}]' data-latex='\\fontseries{l}\\text{Ab}'></li>\n                <li class='keycap' data-command='[\"applyStyle\",{\"series\":\"m\"}]' data-latex='\\fontseries{m}\\text{Ab}'></li>\n                <li class='keycap' data-command='[\"applyStyle\",{\"series\":\"b\"}]' data-latex='\\fontseries{b}\\text{Ab}'></li>\n                <li class='keycap' data-command='[\"applyStyle\",{\"series\":\"bx\"}]' data-latex='\\fontseries{bx}\\text{Ab}'></li>\n                <li class='keycap' data-command='[\"applyStyle\",{\"series\":\"sb\"}]' data-latex='\\fontseries{sb}\\text{Ab}'></li>\n                <li class='keycap' data-command='[\"applyStyle\",{\"series\":\"c\"}]' data-latex='\\fontseries{c}\\text{Ab}'></li>\n            </ul>\n            <ul>\n                <li class='keycap' data-command='[\"applyStyle\",{\"shape\":\"up\"}]' data-latex='\\textup{Ab}'></li>\n                <li class='keycap' data-command='[\"applyStyle\",{\"shape\":\"it\"}]' data-latex='\\textit{Ab}'></li>\n                <li class='keycap' data-command='[\"applyStyle\",{\"shape\":\"sl\"}]' data-latex='\\textsl{Ab}'></li>\n                <li class='keycap' data-command='[\"applyStyle\",{\"shape\":\"sc\"}]' data-latex='\\textsc{Ab}'></li>\n                <li class='separator w5'></li>\n                <li class='keycap' data-insert='\\emph{#@} ' data-latex='\\text{\\emph{emph}}'></li>\n            </ul>\n            <ul>\n                <li class='keycap' data-command='[\"applyStyle\",{\"fontFamily\":\"cmr\"}]' data-latex='\\textrm{Az}'></li>\n                <li class='keycap' data-command='[\"applyStyle\",{\"fontFamily\":\"cmtt\"}]' data-latex='\\texttt{Az}'></li>\n                <li class='keycap' data-command='[\"applyStyle\",{\"fontFamily\":\"cmss\"}]' data-latex='\\textsf{Az}'></li>\n\n                <li class='keycap' data-command='[\"applyStyle\",{\"fontFamily\":\"bb\"}]'  data-latex='\\mathbb{AZ}'></li>\n                <li class='keycap' data-command='[\"applyStyle\",{\"fontFamily\":\"scr\"}]'  data-latex='\\mathscr{AZ}'></li>\n                <li class='keycap' data-command='[\"applyStyle\",{\"fontFamily\":\"cal\"}]' data-latex='\\mathcal{A1}'></li>\n                <li class='keycap' data-command='[\"applyStyle\",{\"fontFamily\":\"frak\"}]' data-latex='\\mathfrak{Az}'></li>\n            </ul>\n        </div>"};function _r(e,t){e=e.replace(/(^|[^\\])#@/g,"$1#?");const a=fa(),i=new dt("root",a);return i.body=Ft(e,a,{parseMode:"math",args:t}),He(Pe(Ve(new Ne(i.render(new Ae({registers:a.registers},{fontSize:5},"displaystyle")),{classes:"ML__base"}))),{classes:"ML__mathlive"}).toMarkup()}function Sr(e,t,a){var i,o,r;let n="<div class='left'>";const s=t.replace(/\s+/g," ").split(" ");if(s.length>1){const t={...gr,...null!==(i=e.customVirtualKeyboards)&&void 0!==i?i:{}};for(const e of s){if(!t[e])break;n+="<div class='",e===a?n+="selected ":t[e].command?n+="action ":n+="layer-switch ",n+=(null!==(o=t[e].classes)&&void 0!==o?o:"")+"'",t[e].tooltip&&(n+="data-tooltip='"+(null!==(r=d(t[e].tooltip))&&void 0!==r?r:t[e].tooltip)+"' "),e!==a&&("string"==typeof t[e].command?n+=`data-command='"${t[e].command}"'`:Array.isArray(t[e].command)&&(n+=`data-command='"${t[e].command.join("")}"'`),t[e].layer&&(n+="data-layer='"+t[e].layer+"'")),n+=">"+t[e].label+"</div>"}}n+="</div>";const l="default"===e.virtualKeyboardToolbar?["copyToClipboard","undo","redo"]:[],c={copyToClipboard:`\n            <div class='action'\n                data-command='"copyToClipboard"'\n                data-tooltip='${d("tooltip.copy to clipboard")}'>\n                <svg><use xlink:href='#svg-copy' /></svg>\n            </div>\n        `,undo:`\n            <div class='action disabled'\n                data-command='"undo"'\n                data-tooltip='${d("tooltip.undo")}'>\n                <svg><use xlink:href='#svg-undo' /></svg>\n            </div>\n        `,redo:`\n            <div class='action disabled'\n                data-command='"redo"'\n                data-tooltip='${d("tooltip.redo")}'>\n                <svg><use xlink:href='#svg-redo' /></svg>\n            </div>\n        `};return l.length>0&&(n+=`\n            <div class='right'>\n                ${l.map((e=>c[e])).join("")}\n            </div>\n        `),"<div class='keyboard-toolbar' role='toolbar'>"+n+"</div>"}function Mr(e,t,a){var i,o;for(const r of t){let t;r.getAttribute("data-latex")?t=_r(r.getAttribute("data-latex").replace(/&quot;/g,'"'),(()=>"\\placeholder{}")):r.getAttribute("data-insert")&&""===r.innerHTML?t=_r(r.getAttribute("data-insert").replace(/&quot;/g,'"'),(()=>"\\placeholder{}")):r.getAttribute("data-content")&&(t=r.getAttribute("data-content").replace(/&quot;/g,'"')),r.getAttribute("data-aside")&&(t=(null!=t?t:"")+"<aside>"+r.getAttribute("data-aside").replace(/&quot;/g,'"')+"</aside>"),void 0!==t&&(r.innerHTML=e.options.createHTML(t)),r.getAttribute("data-classes")&&r.classList.add(r.getAttribute("data-classes"));const n=null===(i=r.getAttribute("data-insert"))||void 0===i?void 0:i.replace(/&quot;/g,'"');let s;n&&vr[n]&&(r.dataset.shifted=vr[n][0],r.dataset.shiftedCommand=JSON.stringify(["insertAndUnshiftKeyboardLayer",vr[n][1]]));const l=r.getAttribute("data-command");if(l)if(/^[a-zA-Z]+$/.test(l))s=l;else try{s=JSON.parse(l)}catch(e){}else s=r.getAttribute("data-insert")?["insert",r.getAttribute("data-insert"),{focus:!0,feedback:!0,scrollIntoView:!0,mode:"math",format:"latex",resetStyle:!0}]:r.getAttribute("data-latex")?["insert",r.getAttribute("data-latex"),{focus:!0,feedback:!0,scrollIntoView:!0,mode:"math",format:"latex",resetStyle:!0}]:["typedText",null!==(o=r.getAttribute("data-key"))&&void 0!==o?o:r.textContent,{focus:!0,feedback:!0,simulateKeystroke:!0}];if(s){a&&(s=[a,s]);let t=s;const i=r.getAttribute("data-alt-keys");i&&xr[i]&&(t={default:s,pressAndHoldStart:["showAlternateKeys",i],pressAndHoldEnd:"hideAlternateKeys"}),mr((t=>e.executeCommand(t)),r,t)}}}function Lr(e,t){var a,i,o,r;const n={qwerty:{"lower-1":"qwertyuiop","lower-2":" asdfghjkl ","lower-3":"^zxcvbnm~","upper-1":"QWERTYUIOP","upper-2":" ASDFGHJKL ","upper-3":"^ZXCVBNM~","numpad-1":"789/","numpad-2":"456*","numpad-3":"123-","numpad-4":"0.=+"},azerty:{"lower-1":"azertyuiop","lower-2":"qsdfghjklm","lower-3":"^ wxcvbn ~","upper-1":"AZERTYUIOP","upper-2":"QSDFGHJKLM","upper-3":"^ WXCVBN ~"},qwertz:{"lower-1":"qwertzuiop","lower-2":" asdfghjkl ","lower-3":"^yxcvbnm~","upper-1":"QWERTZUIOP","upper-2":" ASDFGHJKL","upper-3":"^YXCVBNM~"},dvorak:{"lower-1":"^  pyfgcrl ","lower-2":"aoeuidhtns","lower-3":"qjkxbmwvz~","upper-1":"^  PYFGCRL ","upper-2":"AOEUIDHTNS","upper-3":"QJKXBMWVZ~"},colemak:{"lower-1":" qwfpgjluy ","lower-2":"arstdhneio","lower-3":"^zxcvbkm~","upper-1":" QWFPGNLUY ","upper-2":"ARSTDHNEIO","upper-3":"^ZXCVBKM~"}};let s=e.virtualKeyboardLayout;if("auto"===s){const e=Ei();e&&(s=e.virtualLayout),s&&"auto"!==s||(s=null!==(a={fr:"azerty",be:"azerty",al:"qwertz",ba:"qwertz",cz:"qwertz",de:"qwertz",hu:"qwertz",sk:"qwertz",ch:"qwertz"}[l.locale.slice(0,2)])&&void 0!==a?a:"qwerty")}const d=null!==(i=n[s])&&void 0!==i?i:n.qwerty;let c,u=t;u=u.replace(/<arrows\/>/g,'\n        <li class=\'action\' data-command=\'["performWithFeedback","moveToPreviousChar"]\'\n            data-shifted=\'<svg class="svg-glyph"><use xlink:href="#svg-angle-double-left" /></svg>\'\n            data-shifted-command=\'["performWithFeedback","extendToPreviousChar"]\'>\n            <svg class="svg-glyph"><use xlink:href=\'#svg-arrow-left\' /></svg>\n        </li>\n        <li class=\'action\' data-command=\'["performWithFeedback","moveToNextChar"]\'\n            data-shifted=\'<svg class="svg-glyph"><use xlink:href="#svg-angle-double-right" /></svg>\'\n            data-shifted-command=\'["performWithFeedback","extendToNextChar"]\'>\n            <svg class="svg-glyph"><use xlink:href=\'#svg-arrow-right\' /></svg>\n        </li>\n        <li class=\'action\' data-command=\'["performWithFeedback","commit"]\'>\n        <svg class="svg-glyph"><use xlink:href=\'#svg-commit\' /></svg></li>');let p=u.match(/(<row\s+)(.*)((?:<\/row|\/)>)/);for(;p;){c="";const t=p[2].match(/[a-zA-Z][a-zA-Z\d-]*=(['"])(.*?)\1/g),a={};if(t)for(const e of t){const t=e.match(/([a-zA-Z][a-zA-Z\d-]*)=(['"])(.*?)\2/);t&&(a[t[1]]=t[3])}let i=d[a.name];if(i||(i=n.qwerty[a.name]),i)for(const t of i){let n=null!==(o=a.class)&&void 0!==o?o:"";n&&(n=` ${n}`),"~"===t?(c+="<li class='action font-glyph bottom right ",c+=i.length-(i.match(/ /g)||[]).length/2==10?"w10":"w15",c+='\' data-shifted=\'<span class="warning"><svg class="svg-glyph"><use xlink:href="#svg-trash" /></svg></span>\'\n                        data-shifted-command=\'"deleteAll"\'\n                        data-alt-keys=\'delete\' data-command=\'["performWithFeedback","deleteBackward"]\'\n                        ><svg class="svg-glyph"><use xlink:href="#svg-delete-backward" /></svg></li>'):" "===t?c+="<li class='separator w5'></li>":"^"===t?c+="<li class='shift modifier font-glyph bottom left w15 layer-switch' data-layer='"+a["shift-layer"]+'\'><svg class="svg-glyph"><use xlink:href="#svg-shift" /></svg></li>':"/"===t?c+="<li class='keycap"+n+"' data-alt-keys='/' data-insert='\\frac{#@}{#?}'>&divide;</li>":"*"===t?c+="<li class='keycap"+n+"' data-alt-keys='*' data-insert='\\times '>&times;</li>":"-"===t?c+="<li class='keycap"+n+"' data-alt-keys='-' data-key='-'>&#x2212;</li>":"."===t?c+="<li class='keycap"+n+"' data-alt-keys='.' data-command='\"insertDecimalSeparator\"'>"+(null!==(r=e.decimalSeparator)&&void 0!==r?r:".")+"</li>":n.includes("tt")?c+=`<li class='keycap${n}' data-alt-keys='${t}' data-command='["typedText","${t}",{"mode":"command", "focus":true, "feedback":true}]'>${t}</li>`:c+="<li class='keycap"+n+"' data-alt-keys='"+t+"'>"+t+"</li>"}u=u.replace(new RegExp(p[1]+p[2]+p[3]),c),p=u.match(/(<row\s+)(.*)((?:<\/row|\/)>)/)}return u}function Cr(e){yr();const t=e.element.querySelectorAll("div.keyboard-layer.is-visible .rows .keycap, div.keyboard-layer.is-visible .rows .action");if(t)for(const a of t){const t=a.getAttribute("data-unshifted-content");t&&(a.innerHTML=e.options.createHTML(t),a.dataset.unshiftedContent="");const i=a.getAttribute("data-unshifted-command");i&&(a.dataset.command=i,a.dataset.unshiftedCommand="")}return!1}function Ar(e){return Object.keys(e).map((t=>`${t} {${function(e){return"string"==typeof e?e:Object.entries(e).map((([e,t])=>`${e}:${t} !important`)).join(";")}(e[t])}}`)).join("")}function Tr(e,t){"lower-command"!==t&&"upper-command"!==t&&"symbols-command"!==t&&e.executeCommand("complete"),Dr(e),yr(),Cr(e);const a=null==e?void 0:e.element.querySelectorAll(".keyboard-layer");let i=!1;for(const e of a)if(e.dataset.layer===t){i=!0;break}if(i)for(const e of a)e.dataset.layer===t?e.classList.add("is-visible"):e.classList.remove("is-visible");return e.focusMathfield(),!0}function Dr(e,t=""){const a=e.options.virtualKeyboardContainer;if(!a)return!1;if(e.element?e.element.classList.add("is-visible"):e.buildAndAttachElement(t),!e.visible){const t=qn();t.visibleVirtualKeyboard&&zr(t.visibleVirtualKeyboard),t.visibleVirtualKeyboard=e;const i=a.style.paddingBottom;e.originalContainerBottomPadding=i,a.style.paddingBottom=i?`calc(${i} + var(--keyboard-height, 276px) - 1px)`:"calc(var(--keyboard-height, 276px) - 1px)"}return setTimeout((()=>{var t;null===(t=e.element)||void 0===t||t.classList.add("is-visible"),e.focusMathfield()}),1),e.visible=!0,e.stateChanged(),!1}function zr(e){var t,a,i;const o=e.options.virtualKeyboardContainer;return!!o&&(e.element&&(qn().visibleVirtualKeyboard=void 0,e.disable(),yr(),e.visible=!1,null===(t=e.coreStylesheet)||void 0===t||t.release(),e.coreStylesheet=null,null===(a=e.virtualKeyboardStylesheet)||void 0===a||a.release(),e.virtualKeyboardStylesheet=null,null===(i=e._element)||void 0===i||i.remove(),e._element=void 0,null!==e.originalContainerBottomPadding&&(o.style.paddingBottom=e.originalContainerBottomPadding)),e.visible=!1,e.stateChanged(),!1)}function Br(e,t,a){"function"==typeof t&&(a=t,t=1/0),void 0===t&&(t=1/0);let i=e.position,o=!1,r="";for(;!o;){const n=e.at(i);o=0===t||void 0===n||"math"!==n.mode||!(/mord|textord|mpunct/.test(n.type)||"mop"===n.type&&/[a-zA-Z]+/.test(n.value))||!n.hasEmptyBranch("superscript")||!n.hasEmptyBranch("subscript")||"function"==typeof a&&!a(n),o||(n.mode="text",n.command=n.value,n.verbatimLatex=void 0,r+=n.value),i-=1,t-=1}Wi(e,{data:r,inputType:"insertText"})}function Kr(e,t,a){"function"==typeof t&&(a=t,t=1/0),void 0===t&&(t=1/0);let i=e.position,o=!1;const r=[];for(;!o;){const n=e.at(i);o=0===t||!n||n.isFirstSibling||"text"!==n.mode||" "===n.value||a&&!a(n),o||(r.push(n.serialize({defaultMode:"math"})),n.mode="math"),i-=1,t-=1}Er(e),Wi(e,{data:it(r),inputType:"insertText"})}function Er(e){var t;let a=e.position-1;for(;a>=0&&"math"===(null===(t=e.at(a))||void 0===t?void 0:t.mode);)a-=1;if(!(a<0)&&"text"===e.at(a).mode&&" "===e.at(a).value&&"math"===e.at(a-1).mode){e.at(a-1).parent.removeChild(e.at(a-1));const t=e.suppressChangeNotifications;e.suppressChangeNotifications=!0,e.position-=1,e.suppressChangeNotifications=t,Wi(e,{inputType:"deleteContent"})}}po({showAlternateKeys:function(e,t){var a;i();const o=xr[t],r=document.createElement("div");r.setAttribute("aria-hidden","true"),r.className="ML__keyboard alternate-keys"+(e.element.classList.contains("material")?" material":""),r.id="mathlive-alternate-keys-panel",o.length>=14?r.style.width="236px":o.length>=7?r.style.width="286px":4===o.length||2===o.length?r.style.width="146px":1===o.length?r.style.width="86px":r.style.width="146px",r.style.height="auto";let n="";for(const e of o)n+="<li","string"==typeof e?n+=' data-latex="'+e.replace(/"/g,"&quot;")+'"':(e.latex&&(n+=' data-latex="'+e.latex.replace(/"/g,"&quot;")+'"'),e.content&&(n+=' data-content="'+e.content.replace(/"/g,"&quot;")+'"'),e.insert&&(n+=' data-insert="'+e.insert.replace(/"/g,"&quot;")+'"'),e.command&&("string"==typeof e.command?n+=` data-command="${e.command.replace(/"/g,"&quot;")}"`:n+=" data-command='"+JSON.stringify(e.command).replace(/"/g,"&quot;")+"'"),e.aside&&(n+=` data-aside="${e.aside.replace(/"/g,"&quot;")}"`),e.class&&(n+=` data-classes="${e.class}"`)),n+=">",n+="string"==typeof e?e:null!==(a=e.label)&&void 0!==a?a:"",n+="</li>";n="<ul>"+n+"</ul>",r.innerHTML=e.options.createHTML(n),Mr(e,[...r.querySelectorAll("li")],"performAlternateKeys"),rr.scrim||(rr.scrim=new rr),rr.scrim.open({root:e.options.virtualKeyboardContainer,child:r});const s=null==e?void 0:e.element.querySelector('div.keyboard-layer.is-visible div.rows ul li[data-alt-keys="'+t+'"]'),l=null==s?void 0:s.getBoundingClientRect();if(l){l.top-r.clientHeight<0&&(r.style.width="auto",o.length<=6?r.style.height="56px":o.length<=12?r.style.height="108px":o.length<=18?r.style.height="205px":r.classList.add("compact"));const e=(l.top-r.clientHeight+5).toString()+"px",t=Math.max(0,Math.min(window.innerWidth-r.offsetWidth,(l.left+l.right-r.offsetWidth)/2))+"px";r.style.transform="translate("+t+","+e+")",r.classList.add("is-visible")}return!1}},{target:"virtual-keyboard"}),po({shiftKeyboardLayer:function(e){const a=null==e?void 0:e.element.querySelectorAll("div.keyboard-layer.is-visible .rows .keycap, div.keyboard-layer.is-visible .rows .action");if(a)for(const i of a){if(i.dataset.unshiftedContent)return!1;let a=i.getAttribute("data-shifted");if(a||/^[a-z]$/.test(i.innerHTML)){i.dataset.unshiftedContent=i.innerHTML,a||(a=i.innerHTML.toUpperCase()),i.innerHTML=e.options.createHTML(a);const o=i.getAttribute("data-command");if(o){i.dataset.unshiftedCommand=o;const e=i.getAttribute("data-shifted-command");if(e)i.dataset.command=e;else{const e=JSON.parse(o);t(e)&&(e[1]=e[1].toUpperCase()),i.dataset.command=JSON.stringify(e)}}}}return!1}},{target:"virtual-keyboard"}),po({hideAlternateKeys:()=>yr(),performAlternateKeys:function(e,t){return yr(),e.executeCommand(t)},switchKeyboardLayer:(e,t)=>Tr(e,t),unshiftKeyboardLayer:e=>Cr(e),insertAndUnshiftKeyboardLayer:function(e,t){return e.executeCommand(["insert",t]),Cr(e),!0}},{target:"virtual-keyboard"}),po({toggleVirtualKeyboardAlt:function(e){let t=!1;return(null==e?void 0:e.element)&&(t=null==e?void 0:e.element.classList.contains("material"),e.disable()),Dr(e,t?"":"material"),!1},toggleVirtualKeyboardShift:function(e){var t,a;e.options.virtualKeyboardLayout={qwerty:"azerty",azerty:"qwertz",qwertz:"dvorak",dvorak:"colemak",colemak:"qwerty"}[e.options.virtualKeyboardLayout];const i=null!==(a=null===(t=null==e?void 0:e.element.querySelector("div.keyboard-layer.is-visible"))||void 0===t?void 0:t.id)&&void 0!==a?a:"";return e&&e.disable(),Dr(e),i&&Tr(e,i),!1}},{target:"virtual-keyboard"}),po({toggleVirtualKeyboard:(e,t)=>function(e,t){return e.visible?zr(e):Dr(e,t),!1}(e,t),hideVirtualKeyboard:e=>zr(e),showVirtualKeyboard:(e,t)=>Dr(e,t),onUndoStateChanged:(e,t,a)=>function(e,t,a){var i;const o=null===(i=e.element)||void 0===i?void 0:i.querySelector(".keyboard-toolbar");if(!o)return!1;const r=o.querySelector("[data-command='\"undo\"']"),n=o.querySelector("[data-command='\"redo\"']");return n&&(a?n.classList.remove("disabled"):n.classList.add("disabled")),r&&(t?r.classList.remove("disabled"):r.classList.add("disabled")),!1}(e,t,a)},{target:"virtual-keyboard"});var qr="#mathlive-keystroke-caption-panel{--keystroke:#fff;--on-keystroke:#555;--keystroke-border:#f7f7f7;background:var(--secondary,hsl(var(--hue,212),19%,26%));border-color:var(--secondary-border,#e8e8e8);border-radius:6px;box-shadow:0 3px 6px rgba(0,0,0,.16),0 3px 6px rgba(0,0,0,.23);display:flex;flex-direction:row-reverse;justify-content:center;padding:16px;position:absolute;text-align:center;visibility:hidden;z-index:1}@media (prefers-color-scheme:dark){body:not([theme=light]) #mathlive-keystroke-caption-panel{--keystroke:hsl(var(--hue,212),50%,30%);--on-keystroke:#fafafa;--keystroke-border:hsl(var(--hue,212),50%,25%)}}body[theme=dark] #mathlive-keystroke-caption-panel{--keystroke:hsl(var(--hue,212),50%,30%);--on-keystroke:#fafafa;--keystroke-border:hsl(var(--hue,212),50%,25%)}#mathlive-keystroke-caption-panel>span{fill:currentColor;background-color:var(--keystroke);border:2px solid var(--keystroke-border);border-radius:6px;color:var(--on-keystroke);font-family:system-ui,-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen,Ubuntu,Cantarell,Fira Sans,Droid Sans,Helvetica Neue,sans-serif;font-size:1em;margin:0 8px 0 0;min-width:14px;padding:4px}";let $r,Or=null,Nr=null;function Fr(e){return e.keystrokeCaption||(e.keystrokeCaption=ni("mathlive-keystroke-caption-panel"),void 0===$r&&($r=Mi(qr).toString(36)),Or=Li(null,qr,$r),Nr=Li(null,Vi,Mi(Vi).toString(36))),e.keystrokeCaption}function Pr(e){if(!e)return null;if(e.length>1)return null;const t=e[0];return t instanceof zt&&"("===t.leftDelim&&")"===t.rightDelim?t.removeBranch("body"):null}function Rr(e){if(e){for(let t=0;e[t];t++){const a=e[t];if(a instanceof zt&&"("===a.leftDelim){let i=0,o=0,r=0;for(let e=0;a.body[e];e++)"genfrac"===a.body[e].type&&(i++,o=e),r++;0===r&&1===i&&(e[t]=a.body[o])}}for(const t of e){for(const e of t.branches)if(!t.hasEmptyBranch(e)){Rr(t.branch(e));const a=Pr(t.branch(e));a&&t.setChildren(a,e)}if(t instanceof Ht)for(const e of t.cells)Rr(e)}}}function Ir(e){if(!e)return[];const t=[];for(const a of e){for(const e of a.branches)if(!a.hasEmptyBranch(e)){const i=Ir(a.branch(e));t.push(...i)}a instanceof Kt&&t.push(a)}return t}function Vr(e){return!!/^(mord|surd|msubsup|leftright|mop|mclose)$/.test(e.type)&&!e.isExtensibleSymbol&&!e.isFunction}function Hr(e,t,a){const i=e.at(e.position),{parent:o}=i;let r=o instanceof zt?o.leftDelim+o.rightDelim:"";if("\\lbrace\\rbrace"===r&&(r="{}"),"\\{\\}"===r&&(r="{}"),"\\lparen\\rparen"===r&&(r="()"),"{}"===r&&/\||\\vert|\\Vert|\\mvert|\\mid/.test(t))return Na.insert("math",e,"\\,\\middle"+t+"\\, ",{format:"latex",style:a}),!0;if("{"!==t&&"\\{"!==t||(t="\\lbrace"),"}"!==t&&"\\}"!==t||(t="\\rbrace"),"["===t&&(t="\\lbrack"),"]"===t&&(t="\\rbrack"),ht[t]){const r=o;if("leftright"===r.type&&r.firstChild===i&&("?"===r.leftDelim||"."===r.leftDelim))return r.leftDelim=t,r.isDirty=!0,!0;if(!(o instanceof zt&&"|"===o.leftDelim)){if(Na.insert("math",e,`\\left${t}\\right?`,{format:"latex",style:a}),"first"!==i.lastSibling.type){const t=e.offsetOf(i.lastSibling),a=e.extractAtoms([e.position,t]);e.at(e.position).body=a,e.position-=1}return!0}}let n="";if(Object.keys(ht).forEach((e=>{t===ht[e]&&(n=e)})),n){if(o instanceof zt&&i.isLastSibling)return o.isDirty=!0,o.rightDelim=t,e.position+=1,Wi(e,{data:t,inputType:"insertText"}),!0;const r=e.offsetOf(i.firstSibling);let n;for(n=e.position;n>=r;n--){const t=e.at(n);if(t instanceof zt&&"?"===t.rightDelim)break}const s=e.at(n);if(n>=r&&s instanceof zt)return s.rightDelim=t,s.addChildren(e.extractAtoms([n,e.position]),i.treeBranch),e.position=n,Wi(e,{data:t,inputType:"insertText"}),!0;if(o instanceof zt&&"?"===o.rightDelim)return o.isDirty=!0,o.rightDelim=t,o.parent.addChildren(e.extractAtoms([e.position,e.offsetOf(i.lastSibling)]),o.treeBranch),e.position=e.offsetOf(o),Wi(e,{data:t,inputType:"insertText"}),!0;const l=o.parent;return!!(l instanceof zt&&"?"===l.rightDelim&&e.at(e.position).isLastSibling)&&(e.position=e.offsetOf(l),Hr(e,t,a))}return!1}function jr(e,t,a){var i,o,r,n;const{model:s}=e;!function(e){var t,a;if(!e)return;if("Unidentified"===e.key)return;if("Dead"===e.key)return;const i=e.shiftKey&&e.altKey?3:e.altKey?2:e.shiftKey?1:0;for(const o of zi)(null===(t=o.mapping[e.code])||void 0===t?void 0:t[i])===e.key?o.score+=1:(null===(a=o.mapping[e.code])||void 0===a?void 0:a[i])&&(o.score=0);zi.sort(((e,t)=>t.score-e.score))}(a);const l=Ei();if(e.keyboardLayout!==l.id&&(e.keyboardLayout=l.id,e._keybindings=void 0),clearTimeout(e.inlineShortcutBufferFlushTimer),e.inlineShortcutBufferFlushTimer=0,function(e,t){if(e.options.readOnly||!e.keystrokeCaptionVisible)return;const a=Fr(e),i=e.element.getBoundingClientRect();a.style.left=`${i.left}px`,a.style.top=i.top-64+"px",a.innerHTML=e.options.createHTML("<span>"+(Fi(t)||t)+"</span>"+a.innerHTML),a.style.visibility="visible",setTimeout((()=>{a.childNodes.length>0&&a.childNodes[a.childNodes.length-1].remove(),0===a.childNodes.length&&(a.style.visibility="hidden")}),3e3)}(e,t),a.defaultPrevented)return e.flushInlineShortcutBuffer(),!1;let d,c,u="";if(!e.options.readOnly){if("math"===e.mode&&!a.ctrlKey&&!a.metaKey)if("[Backspace]"===t)e.inlineShortcutBuffer.pop(),e.flushInlineShortcutBuffer({defer:!0});else if(lr(a)){const t=ur(a),r=(null!==(o=null===(i=e.inlineShortcutBuffer[e.inlineShortcutBuffer.length-1])||void 0===i?void 0:i.keystrokes)&&void 0!==o?o:"")+t;e.inlineShortcutBuffer.push({state:s.getState(),keystrokes:r,leftSiblings:Jr(e)});let n=0,l="";for(;!d&&n<r.length;){c=e.inlineShortcutBuffer.length-(r.length-n),l=r.slice(n);const t=e.inlineShortcutBuffer[c].leftSiblings;d=Ta(t,l,e.options.inlineShortcuts),!d&&/^[a-zA-Z][a-zA-Z0-9]+?([_\^][a-zA-Z0-9\*\+\-]+?)?$/.test(l)&&(d=e.options.onInlineShortcut(e,l)),n+=1}e.flushInlineShortcutBuffer({defer:!0})}else e.flushInlineShortcutBuffer(),e.snapshot();if(e.options.smartMode){const i=e.mode;d?e.mode="math":function(e,t,a){if(e.smartModeSuppressed)return!1;const{model:i}=e;if(!i.at(i.position).isLastSibling)return!1;if(!a||!lr(a))return!1;const o=ur(a);if(!i.selectionIsCollapsed)return!("text"!==e.mode||!/[/_^]/.test(o));const r=function(e){let t="",a=e.position,i=!1;for(;!i;){const o=e.at(a);i=!(o&&("text"===o.mode||"math"===o.mode&&/mord|textord|mpunct/.test(o.type))),i||(t=o.value+t),a-=1}return t}(i)+o;if("text"===e.mode){if("Esc"===t||/[/\\]/.test(o))return!0;if(/[\^_]/.test(o))return/(^|\s)[a-zA-Z][^_]$/.test(r)&&Kr(i,1),!0;const e={")":"(","}":"{","]":"["}[o],{parent:a}=i.at(i.position);if(e&&a instanceof zt&&a.leftDelim===e)return!0;if(/(^|[^a-zA-Z])(a|I) $/.test(r))return!1;if(/[$\u20ac\xa3\u20a4\u20ba\xa5\xa4\u0e3f\xa2\u20a1\u20a7\u20a8\u20b9\u20a9\u20b1]/u.test(o))return!0;if(/(^|[^a-zA-Z'\u2019])[a-zA-Z] $/.test(r))return Kr(i,1),!1;if(/\D\.[^\d\s]$/.test(r)){Kr(i,1);const e=i.at(i.position);return e.value="\u22c5",e.style.variant="normal",e.command="\\cdot",e.verbatimLatex=void 0,Wi(i,{data:"\\cdot",inputType:"insertText"}),!0}if(/(^|\s)[a-zA-Z][^a-zA-Z]$/.test(r))return Kr(i,1),!0;if(/\.\d$/.test(r))return Kr(i,1),!0;if(/\([\d+\-.]$/.test(r))return Kr(i,1),!0;if(/\([a-z][,;]$/.test(r))return Kr(i,2),!0;if(/[\d+\-=><*|]$/.test(o))return Er(i),!0}else{if("[Space]"===t)return Br(i,void 0,(e=>/[a-z][:,;.]$/.test(e.value))),!0;if(/[a-zA-Z]{3,}$/.test(r)&&!/(dxd|abc|xyz|uvw)$/.test(r))return Br(i,void 0,(e=>/[a-zA-Z]/.test(e.value))),!0;if(/(^|\W)(if)$/i.test(r))return Br(i,1),!0;if(/(\u0393|\u0394|\u0398|\u039B|\u039E|\u03A0|\u03A3|\u03A5|\u03A6|\u03A8|\u03A9|[\u03B1-\u03C9]|\u03D1|\u03D5|\u03D6|\u03F1|\u03F5){3,}$/u.test(r)&&!/(\u03b1\u03b2\u03b3)$/.test(r))return Br(i,void 0,(e=>/(:|,|;|.|\u0393|\u0394|\u0398|\u039B|\u039E|\u03A0|\u03A3|\u03A5|\u03A6|\u03A8|\u03A9|[\u03B1-\u03C9]|\u03D1|\u03D5|\u03D6|\u03F1|\u03F5)/u.test(e.value))),!0;if("?"===o)return!0;if("."===o&&!/[\d-+]\.$/.test(r))return!0}return!1}(e,t,a)&&(e.mode={math:"text",text:"math"}[e.mode],u=""),e.mode!==i&&((null===(r=e.host)||void 0===r?void 0:r.dispatchEvent(new Event("mode-change",{bubbles:!0,composed:!0,cancelable:!0})))||(e.mode=i))}}if(!d){if(u||(u=function(e,t,a){if(0===e.length)return"";const i=Ai(Ci(a));for(let a=e.length-1;a>=0;a--)if(e[a].key===i&&(!e[a].ifMode||e[a].ifMode===t))return e[a].command;return""}(e.keybindings,e.mode,t)),!u&&("[Enter]"===t||"[Return]"===t)){let t=!1;return ji(s,{inputType:"insertLineBreak"})&&(e.host&&(t=!e.host.dispatchEvent(new Event("change",{bubbles:!0,composed:!0}))),t||a.preventDefault&&(a.preventDefault(),a.stopPropagation()),Wi(s,{inputType:"insertLineBreak"})),t}if("math"===e.mode){if("[Space]"===t){if(e.flushInlineShortcutBuffer(),e.options.mathModeSpace)return e.snapshot(),Na.insert("math",s,e.options.mathModeSpace,{format:"latex"}),u="",e.dirty=!0,e.scrollIntoView(),a.preventDefault&&(a.preventDefault(),a.stopPropagation()),!1;const t=s.at(s.position+1),i=s.at(s.position-1);"text"!==(null==t?void 0:t.mode)&&"text"!==(null==i?void 0:i.mode)||(e.snapshot(),Na.insert("text",s," "),e.dirty=!0)}(null===(n=s.at(s.position))||void 0===n?void 0:n.isDigit())&&","===e.options.decimalSeparator&&","===ur(a)&&(u="insertDecimalSeparator")}}if(!d&&!u)return!0;const p=s.at(Math.max(s.position,s.anchor)),{parent:h}=p;if("moveAfterParent"===u&&"leftright"===(null==h?void 0:h.type)&&p.isLastSibling&&e.options.smartFence&&Hr(s,".",e.style)&&(u="",so(e)),u)e.executeCommand(u);else if(d){e.keyboardDelegate.cancelComposition();const t={...s.at(s.position).computedStyle,...e.style};if(!/^\\({|}|\[|]|@|#|\$|%|&|\^|_|backslash)$/.test(d)){const i=e.mode;Na.insert(e.mode,s,ur(a),{suppressChangeNotifications:!0,style:t}),e.snapshot(),s.setState(e.inlineShortcutBuffer[c].state),e.mode=i}s.deferNotifications({content:!0,selection:!0,data:null!=d?d:null,type:"insertText"},(()=>(Na.insert(e.mode,s,d,{format:"latex",style:t}),Er(e.model),d.endsWith(" ")&&(e.mode="text",Na.insert("text",s," ",{style:t})),!0))),e.snapshot(),e.dirty=!0,s.announce("replacement")}return e.scrollIntoView(),a.preventDefault&&a.preventDefault(),!1}function Wr(e,t,a){var i;const{model:o}=e;if(e.options.readOnly)return void o.announce("plonk");if((a=null!=a?a:{}).focus&&e.focus(),a.feedback&&(e.options.keypressVibration&&r()&&navigator.vibrate(3),e.playSound("keypress")),"string"==typeof a.mode&&e.mode!==a.mode&&e.switchMode(a.mode),a.simulateKeystroke){const a=t.charAt(0),i=new KeyboardEvent("keypress",{key:a});if(!jr(e,a,i))return}const n=o.at(o.position),s={...n.computedStyle,...e.style};o.selectionIsCollapsed||(o.deleteAtoms(Aa(o.selection)),e.snapshot());const l=Qe(t);if("latex"===e.mode)o.deferNotifications({content:!0,selection:!0,data:t,type:"insertText"},(()=>{Xi(e);for(const e of l)Na.insert("latex",o,e);Gi(e)}));else if("text"===e.mode)for(const e of l)Na.insert("text",o,e,{style:s});else if("math"===e.mode)for(const t of l){let a={"^":"moveToSuperscript",_:"moveToSubscript"," ":"moveAfterParent"}[t];" "===t&&e.options.mathModeSpace&&(a=["insert",e.options.mathModeSpace]),a?e.executeCommand(a):/\d/.test(t)&&e.options.smartSuperscript&&"superscript"===n.treeBranch&&"mop"!==(null===(i=n.parent)||void 0===i?void 0:i.type)&&n.hasNoSiblings?(Na.insert("math",o,t,{style:s}),er(o)):("mord"===n.type&&/[a-zA-Z]/.test(n.value)&&/[a-zA-Z]/.test(t)&&(n.style.variant&&(s.variant=n.style.variant),n.style.variantStyle&&(s.variantStyle=n.style.variantStyle)),Na.insert("math",o,t,{style:s}))}e.snapshotAndCoalesce(),e.dirty=!0,e.scrollIntoView()}function Jr(e){const t=e.model,a=[];let i=t.at(Math.min(t.position,t.anchor));for(;"first"!==i.type;)a.push(i),i=i.leftSibling;return a}function Ur(e,t){var a,i,o,r,n,s;const l={};"string"==typeof t.color&&(l.verbatimColor=t.color,l.color=null!==(a=e.colorMap(t.color))&&void 0!==a?a:"none"),"string"==typeof t.backgroundColor&&(l.verbatimBackgroundColor=t.backgroundColor,l.backgroundColor=null!==(i=e.backgroundColorMap(t.backgroundColor))&&void 0!==i?i:"none"),"string"==typeof t.fontFamily&&(l.fontFamily=t.fontFamily),"string"==typeof t.series&&(l.fontSeries=t.series),"string"==typeof t.fontSeries&&(l.fontSeries=t.fontSeries.toLowerCase()),l.fontSeries&&(l.fontSeries=null!==(o={bold:"b",medium:"m",normal:"m"}[l.fontSeries])&&void 0!==o?o:l.fontSeries),"string"==typeof t.shape&&(l.fontShape=t.shape),"string"==typeof t.fontShape&&(l.fontShape=t.fontShape.toLowerCase()),l.fontShape&&(l.fontShape=null!==(r={italic:"it",up:"n",upright:"n",normal:"n"}[l.fontShape])&&void 0!==r?r:l.fontShape);const d=null!==(n=t.size)&&void 0!==n?n:t.fontSize;return"number"==typeof d?l.fontSize=Math.max(1,Math.min(10,d)):"string"==typeof d&&(l.fontSize=null!==(s={size1:1,size2:2,size3:3,size4:4,size5:5,size6:6,size7:7,size8:8,size9:9,size10:10}[d.toLowerCase()])&&void 0!==s?s:{tiny:1,scriptsize:2,footnotesize:3,small:4,normal:5,normalsize:5,large:6,Large:7,LARGE:8,huge:9,Huge:10}[d]),l}new class extends Na{constructor(){super("math")}onPaste(e,t){if(!t.clipboardData)return!1;if(!ji(e.model,{dataTransfer:t.clipboardData,inputType:"insertFromPaste"}))return!1;let a="",i="auto",o=t.clipboardData.getData("application/json+mathlive");if(o)try{const a=JSON.parse(o);if(a&&Array.isArray(a)){e.snapshot();const i=va(a,e),{model:o}=e;o.selectionIsCollapsed||o.deleteAtoms(Aa(o.selection));const r=o.at(o.position);if(r.parent instanceof Ht){const e=[];let t=[];"first"===i[0].type&&i.shift(),"first"===i[i.length-1].type&&i.pop();for(const a of i)"first"===a.type&&t.length>0?(e.push(t),t=[a]):t.push(a);t.length>0&&e.push(t);let a=Number(r.treeBranch[0]),o=Number(r.treeBranch[1]);const n=r.parent.maxColumns;for(;r.parent.colCount-o<e.length&&r.parent.colCount<n;)r.parent.addColumn();r.parent.addChildrenAfter(e[0],r);for(let t=1;t<e.length;t++)o++,o>=n&&(o=0,r.parent.addRowAfter(a),a++),r.parent.setCell(a,o,e[t])}else r.parent.addChildrenAfter(i.filter((e=>"first"!==e.type)),r);return o.position=o.offsetOf(i[i.length-1]),Wi(o,{inputType:"insertFromPaste"}),so(e),t.preventDefault(),t.stopPropagation(),!0}}catch{}if(o=t.clipboardData.getData("application/json"),o&&e.computeEngine)try{const t=JSON.parse(o);if("object"==typeof t&&"latex"in t&&t.latex&&(a=t.latex),!a){const i=e.computeEngine.box(t);i&&!i.has("Error")&&(a=i.latex)}a||(i="latex")}catch{}if(a||(a=t.clipboardData.getData("application/x-latex"),a&&(i="latex")),a||(a=t.clipboardData.getData("text/plain")),a){let o;return e.snapshot(),[o,a]=$a(a),"auto"===i&&o&&(i="latex"),this.insert(e.model,a,{format:i})&&so(e),t.preventDefault(),t.stopPropagation(),!0}return!1}insert(e,t,a){var i,o;const r="string"==typeof t?t:null!==(o=null===(i=e.mathfield.computeEngine)||void 0===i?void 0:i.box(t).latex)&&void 0!==o?o:"";if(!a.suppressChangeNotifications&&!ji(e,{data:r,inputType:"insertText"}))return!1;if(a.insertionMode||(a.insertionMode="replaceSelection"),a.selectionMode||(a.selectionMode="placeholder"),a.format||(a.format="auto"),e.mathfield.smartFence){if(e.selectionIsCollapsed&&"string"==typeof t&&Hr(e,t,a.style))return!0}else if("replaceAll"!==a.insertionMode){const{parent:a}=e.at(e.position);if(a instanceof zt&&"?"===a.rightDelim&&e.at(e.position).isLastSibling&&"string"==typeof t&&/^[)}\]|]$/.test(t))return a.isDirty=!0,a.rightDelim=t,e.position+=1,Hi(e),Wi(e,{data:r,inputType:"insertText"}),!0}const{suppressChangeNotifications:n}=e;a.suppressChangeNotifications&&(e.suppressChangeNotifications=!0);const s=e.suppressChangeNotifications;e.suppressChangeNotifications=!0;const l={};if(l[0]="replaceAll"===a.insertionMode?"":e.getValue(e.selection,"latex-unstyled"),l["?"]="\\placeholder{}",l["@"]=l["?"],"replaceSelection"!==a.insertionMode||e.selectionIsCollapsed?"replaceAll"===a.insertionMode?(e.root.setChildren([],"body"),e.position=0):"insertBefore"===a.insertionMode?e.collapseSelection("backward"):"insertAfter"===a.insertionMode&&e.collapseSelection("forward"):e.deleteAtoms(Aa(e.selection)),e.at(e.position).isLastSibling||"placeholder"!==e.at(e.position+1).type?"placeholder"===e.at(e.position).type&&e.deleteAtoms([e.position-1,e.position]):e.deleteAtoms([e.position,e.position+1]),l[0])l["@"]=l[0];else if("string"==typeof t&&/(^|[^\\])#@/.test(t)){const t=function(e){let t=e.at(e.position);if("text"===t.mode){for(;!t.isFirstSibling&&"text"===t.mode;)t=t.leftSibling;return e.offsetOf(t)}const a=t,i=[];for(;!t.isFirstSibling&&(Vr(t)||i.length>0);)"mclose"===t.type&&i.unshift(t.value),"mopen"===t.type&&i.length>0&&t.value===mt[i[0]]&&i.shift(),t=t.leftSibling;return a===t?-1:e.offsetOf(t)}(e);t>=0&&(l["@"]=e.getValue(t,e.position,"latex-unstyled"),e.deleteAtoms([t,e.position]))}l[0]||(l[0]=l["?"]);let d=!1;const[c,u]=function(e,t,a,i){var o;let r,n=[];if("string"!=typeof t||"math-json"===i.format){if(!e.mathfield.computeEngine)return["math-json",[]];[r,t]=["latex",e.mathfield.computeEngine.box(t).latex],n=Ft(t,e.mathfield,{parseMode:"math"})}else"string"==typeof t&&"ascii-math"===i.format?([r,t]=za(t,{format:"ascii-math",inlineShortcuts:e.mathfield.options.inlineShortcuts}),n=Ft(t,e.mathfield,{parseMode:"math"}),"latex"!==r&&e.options.removeExtraneousParentheses&&Rr(n)):("auto"===i.format||(null===(o=i.format)||void 0===o?void 0:o.startsWith("latex")))&&("auto"===i.format&&([r,t]=za(t,{format:"auto",inlineShortcuts:e.mathfield.options.inlineShortcuts})),"latex"===i.format&&([,t]=$a(t)),n=Ft(t,e.mathfield,{parseMode:"math",args:a}),"latex"!==i.format&&e.options.removeExtraneousParentheses&&Rr(n));return Uo(n,i.style),[null!=r?r:"latex",n]}(e,t,(e=>(d=!0,l[e])),a);if(!u)return!1;const p=Ir(u),h=p.filter((t=>t.placeholderId&&!e.mathfield.placeholders.has(t.placeholderId))),m=p.map((e=>e.placeholderId));[...e.mathfield.placeholders.keys()].filter((e=>!m.includes(e))).forEach((t=>{var a;e.mathfield.placeholders.has(t)&&(null===(a=e.mathfield.placeholders.get(t))||void 0===a||a.field.remove(),e.mathfield.placeholders.delete(t))})),h.forEach((t=>{var a,i;let o=e.mathfield.options.virtualKeyboardMode;"manual"===o&&(o="onfocus");const r=new bn({...e.mathfield.options,virtualKeyboardMode:o,readOnly:!1}),n=t.defaultValue?dt.serialize(t.defaultValue,{defaultMode:"math"}):"";r.value=n,r.addEventListener("input",(()=>{!function(e,t){!e.suppressChangeNotifications&&e.mathfield.host&&(e.suppressChangeNotifications=!0,e.mathfield.host.dispatchEvent(new CustomEvent("placeholder-change",{detail:{placeholderId:t},bubbles:!0,composed:!0})),e.suppressChangeNotifications=!1)}(e,t.placeholderId),setTimeout((()=>so(e.mathfield)))})),null===(i=null===(a=e.mathfield.element)||void 0===a?void 0:a.querySelector(".ML__placeholdercontainer"))||void 0===i||i.appendChild(r),e.mathfield.placeholders.set(t.placeholderId,{atom:t,field:r})}));const{parent:f}=e.at(e.position);if("latex"!==c&&e.options.removeExtraneousParentheses&&f instanceof zt&&"("===f.leftDelim&&f.hasEmptyBranch("body")&&1===u.length&&"genfrac"===u[0].type){const e=f.parent,t=f.treeBranch;e.removeChild(f),e.setChildren(u,t)}const y=f.hasEmptyBranch("body"),b=e.at(e.position);b.parent.addChildrenAfter(u,b),"latex"===c&&"string"==typeof t&&"root"===f.type&&y&&!d&&(f.verbatimLatex=t),e.suppressChangeNotifications=s;const g=u[u.length-1];if("placeholder"===a.selectionMode){const t=u.reduce(((e,t)=>[...e,...t.children.filter((e=>"placeholder"===e.type))]),[]);if(t.length>0){const a=e.offsetOf(t[0]);e.setSelection(a-1,a),e.announce("move")}else g&&(e.position=e.offsetOf(g))}else"before"===a.selectionMode||("after"===a.selectionMode?g&&(e.position=e.offsetOf(g)):"item"===a.selectionMode&&e.setSelection(e.anchor,e.offsetOf(g)));return Wi(e,{data:r,inputType:"insertText"}),e.suppressChangeNotifications=n,!0}},po({undo:e=>(Yi(e,"accept"),e.undo(),!0),redo:e=>(Yi(e,"accept"),e.redo(),!0),scrollIntoView:e=>(e.scrollIntoView(),!0),scrollToStart:e=>(e.field.scroll(0,0),!0),scrollToEnd:e=>{const t=e.field.getBoundingClientRect();return e.field.scroll(t.left-window.scrollX,0),!0},enterLatexMode:e=>(e.switchMode("latex"),!0),toggleKeystrokeCaption:function(e){return e.keystrokeCaptionVisible=!e.keystrokeCaptionVisible,e.keystrokeCaptionVisible?(e.keystrokeCaption=Fr(e),e.keystrokeCaption.innerHTML=""):e.keystrokeCaption&&(e.keystrokeCaption.style.visibility="hidden"),!1},plonk:e=>(e.model.announce("plonk"),!0),switchMode:(e,t,a,i)=>(e.switchMode(t,a,i),!0),insert:(e,t,a)=>e.insert(t,a),typedText:(e,t,a)=>(Wr(e,t,a),!0),insertDecimalSeparator:e=>{if("math"===e.mode&&","===e.options.decimalSeparator){const t=e.model;if(t.at(Math.max(t.position,t.anchor)).isDigit())return e.snapshot(),e.insert("{,}",{format:"latex"}),!0}return e.insert("."),!0},commit:e=>(ji(e.model,{inputType:"insertLineBreak"})&&(e.host&&e.host.dispatchEvent(new Event("change",{bubbles:!0,composed:!0})),Wi(e.model,{inputType:"insertLineBreak"})),!0)}),po({copyToClipboard:e=>(e.focus(),e.model.selectionIsCollapsed&&e.select(),document.execCommand("copy"),!1),cutToClipboard:e=>(e.focus(),document.execCommand("cut"),!0),pasteFromClipboard:e=>(e.focus(),document.execCommand("paste"),!0)},{target:"mathfield",category:"clipboard"}),po({applyStyle:function(e,t){e.flushInlineShortcutBuffer();const a=Ur(e,t),{model:i}=e;return i.selectionIsCollapsed?(e.style.fontSeries&&a.fontSeries===e.style.fontSeries&&(a.fontSeries="auto"),a.fontShape&&a.fontShape===e.style.fontShape&&(a.fontShape="auto"),a.color&&a.color===e.style.color&&(a.color="none"),a.backgroundColor&&a.backgroundColor===e.style.backgroundColor&&(a.backgroundColor="none"),a.fontSize&&a.fontSize===e.style.fontSize&&(a.fontSize="auto"),e.style={...e.style,...a}):e.model.deferNotifications({content:!0,type:"insertText"},(()=>{i.selection.ranges.forEach((e=>Xo(i,e,a,{operation:"toggle"}))),e.snapshot()})),!0}},{target:"mathfield"});let Xr=null,Gr=0;function Zr(e){return a()&&"TouchEvent"in globalThis&&e instanceof TouchEvent}function Yr(e){return a()&&"PointerEvent"in globalThis&&e instanceof PointerEvent}function Qr(e,t,a){if(e>=a.left&&e<=a.right&&t>=a.top&&t<=a.bottom)return 0;const i=e-(a.left+a.right)/2,o=t-(a.top+a.bottom)/2;return i*i+o*o}function en(e,t,a,i,o){if(!a.id)return[1/0,null];if(t.has(a.id))return t.get(a.id);const r=hi(e,a);if(!r)return[1/0,null];let n=[1/0,null];if(a.hasChildren&&!a.captureSelection&&i>=r.left&&i<=r.right)for(const r of a.children){const a=en(e,t,r,i,o);a[0]<=n[0]&&(n=a)}return n[1]||(n=[Qr(i,o,r),a]),t.set(a.id,n),n}function tn(e,t,a){const[,i]=en(e,new Map,e.model.root,t,a);return i}function an(e,t,a,i){var o;const r=e.fieldContent.getBoundingClientRect();if(t>r.right||a>r.bottom+8)return e.model.lastOffset;if(t<r.left||a<r.top-8)return 0;(i=null!=i?i:{}).bias=null!==(o=i.bias)&&void 0!==o?o:0;let n=tn(e,t,a);const s=[];let l=n;for(;l;)s.unshift(l),l=l.parent;for(const e of s)if(e.captureSelection){n=e;break}let d=e.model.offsetOf(n);if(d<0)return-1;if(n.leftSibling)if(0===i.bias&&"placeholder"!==n.type){const a=hi(e,n);a&&t<(a.left+a.right)/2&&(d=e.model.offsetOf(n.leftSibling))}else i.bias<0&&(d=e.model.offsetOf(n.leftSibling));return d}new class extends Na{constructor(){super("text")}onPaste(e,t){if(!t.clipboardData)return!1;const a=t.clipboardData.getData("text/plain");return!(!a||!ji(e.model,{inputType:"insertFromPaste",data:a})||(e.snapshot(),this.insert(e.model,a)&&(Wi(e.model,{inputType:"insertFromPaste"}),so(e)),t.preventDefault(),t.stopPropagation(),0))}insert(e,t,a={}){if(!ji(e,{data:t,inputType:"insertText"}))return!1;a.insertionMode||(a.insertionMode="replaceSelection"),a.selectionMode||(a.selectionMode="placeholder"),a.format||(a.format="auto");const{suppressChangeNotifications:i}=e;a.suppressChangeNotifications&&(e.suppressChangeNotifications=!0);const o=e.suppressChangeNotifications;e.suppressChangeNotifications=!0,"replaceSelection"!==a.insertionMode||e.selectionIsCollapsed?"replaceAll"===a.insertionMode?(e.root.setChildren([],"body"),e.position=0):"insertBefore"===a.insertionMode?e.collapseSelection("backward"):"insertAfter"===a.insertionMode&&e.collapseSelection("forward"):e.deleteAtoms(Aa(e.selection));const r=(n=t,s=e.mathfield,Ft(n=(n=(n=(n=(n=(n=(n=(n=(n=(n=(n=n.replace(/\\/g,"\\textbackslash ")).replace(/#/g,"\\#")).replace(/\$/g,"\\$")).replace(/%/g,"\\%")).replace(/&/g,"\\&")).replace(/_/g,"\\_")).replace(/{/g,"\\textbraceleft ")).replace(/}/g,"\\textbraceright ")).replace(/\^/g,"\\textasciicircum ")).replace(/~/g,"\\textasciitilde ")).replace(/\xa3/g,"\\textsterling "),s,{parseMode:"text"}));var n,s;if(Uo(r,a.style),!r)return!1;const l=e.at(e.position),d=l.parent.addChildrenAfter(r,l);return e.suppressChangeNotifications=o,"before"===a.selectionMode||("item"===a.selectionMode?e.setSelection(e.anchor,e.offsetOf(d)):d&&(e.position=e.offsetOf(d))),Wi(e,{data:t,inputType:"insertText"}),e.suppressChangeNotifications=i,!0}};const on="mathlive#remote-virtual-keyboard-message";class rn{constructor(e){var t,a,i;this.targetOrigin=null!==(a=null!==(t=e.targetOrigin)&&void 0!==t?t:globalThis.origin)&&void 0!==a?a:"*",this.originValidator=null!==(i=e.originValidator)&&void 0!==i?i:"same-origin",this._mathfield=e.mathfield}get visible(){var e,t;return null!==(t=null===(e=qn().sharedVirtualKeyboard)||void 0===e?void 0:e.visible)&&void 0!==t&&t}set visible(e){qn().sharedVirtualKeyboard&&(qn().sharedVirtualKeyboard.visible=e)}setOptions(e){this.sendMessage("setOptions",{options:JSON.stringify(sn(e))})}create(){}dispose(){this.disable()}enable(){this.enabled||(this.enabled=!0,globalThis.addEventListener("message",this))}disable(){this.enabled&&(globalThis.removeEventListener("message",this),this.enabled=!1)}executeCommand(e){var t,a,i;return"virtual-keyboard"===ho(e)?(this._mathfield&&(this.setOptions(sn(this._mathfield.getOptions())),("showVirtualKeyboard"===e||"toggleVirtualKeyboard"===e&&!1===this.visible)&&(null===(a=(t=this._mathfield).focus)||void 0===a||a.call(t))),this.sendMessage("executeCommand",{command:e}),!1):null===(i=this._mathfield)||void 0===i?void 0:i.executeCommand(e)}focusMathfield(){}blurMathfield(){}stateChanged(){}handleEvent(e){var t,a,i,o;if("message"===e.type&&e.data&&e.data.type===on){if(!fi(e.origin,this.originValidator))throw new Error(`Message from unknown origin (${e.origin}) cannot be handled`);const{action:r}=e.data;if("executeCommand"===r){if("virtual-keyboard"===ho(e.data.command)&&window===globalThis.parent)return;this.executeCommand(e.data.command)}else"updateState"===r?(this.visible=e.data.state.visible,this.height=e.data.state.height):"focus"===r?null===(a=null===(t=this._mathfield)||void 0===t?void 0:t.focus)||void 0===a||a.call(t):"blur"===r&&(null===(o=null===(i=this._mathfield)||void 0===i?void 0:i.blur)||void 0===o||o.call(i))}}sendMessage(e,t={}){return!!globalThis.parent&&(globalThis.parent.postMessage({type:on,action:e,...t},this.targetOrigin),!0)}}class nn extends br{constructor(e){const t={...nn.defaultOptions,...sn(e)};(null==e?void 0:e.createHTML)&&(t.createHTML=e.createHTML),(null==e?void 0:e.virtualKeyboardContainer)&&(t.virtualKeyboardContainer=e.virtualKeyboardContainer),super(t),this.listeners=new Set,globalThis.addEventListener("message",this),document.body.addEventListener("focusin",(e=>{var t;const a=e.target;if((null==a?void 0:a.isConnected)&&"math-field"===(null===(t=a.tagName)||void 0===t?void 0:t.toLowerCase())){const e=a;"onfocus"===e.virtualKeyboardMode&&"hidden"===e.virtualKeyboardState&&(e.virtualKeyboardState="visible")}})),document.addEventListener("focusout",(e=>{var t;const a=e.target;(null==a?void 0:a.isConnected)&&"math-field"===(null===(t=a.tagName)||void 0===t?void 0:t.toLowerCase())&&setTimeout((()=>{var e,t;if("math-field"!==(null===(t=null===(e=document.activeElement)||void 0===e?void 0:e.tagName)||void 0===t?void 0:t.toLowerCase())){const e=document.querySelector("math-field");e&&(e.virtualKeyboardState="hidden")}}),300)}))}static get defaultOptions(){var e,t;return{createHTML:e=>e,fontsDirectory:"./fonts",soundsDirectory:"./sounds",targetOrigin:globalThis.origin,originValidator:"same-origin",virtualKeyboards:"all",virtualKeyboardLayout:"auto",customVirtualKeyboardLayers:{},customVirtualKeyboards:{},virtualKeyboardTheme:/macos|ios/.test(n())?"apple":"material",keypressVibration:!0,keypressSound:null,plonkSound:null,virtualKeyboardToolbar:"default",computeEngine:null,virtualKeyboardContainer:null!==(t=null===(e=globalThis.document)||void 0===e?void 0:e.body)&&void 0!==t?t:null}}addEventListener(e,t,a){if("virtual-keyboard-toggle"!==e)throw new TypeError("Unexpected event type");this.listeners.has(t)||this.listeners.add(t)}dispatchEvent(e){if("virtual-keyboard-toggle"!==e.type)throw new TypeError("Unexpected event type");return 0!==this.listeners.size&&(this.listeners.forEach((t=>{"function"==typeof t?t(e):null==t||t.handleEvent(e)})),!0)}removeEventListener(e,t,a){if("virtual-keyboard-toggle"!==e)throw new TypeError("Unexpected event type");this.listeners.delete(t)}handleEvent(e){if("message"===e.type&&e.data&&e.data.type===on){if(!fi(e.origin,this.options.originValidator))throw new Error(`Can not handle message from unknown origin (${e.origin}).`);const{action:t}=e.data;if("executeCommand"===t){const{command:t}=e.data;if(this.sourceFrame=e.source,"virtual-keyboard"!==ho(t)&&window===window.parent)return;this.executeCommand(t)}else if("setOptions"===t&&JSON.stringify(sn(this.options))!==e.data.options){const t=sn(JSON.parse(e.data.options));t.createHTML=this.options.createHTML,t.virtualKeyboardContainer=this.options.virtualKeyboardContainer,this.setOptions(t)}}}stateChanged(){var e,t;this.dispatchEvent(new Event("virtual-keyboard-toggle")),this.sendMessage("stateChanged",{state:{visible:this.visible,height:null!==(t=null===(e=this.element)||void 0===e?void 0:e.offsetHeight)&&void 0!==t?t:0}})}executeCommand(e){return"virtual-keyboard"===ho(e)?super.executeCommand(e):(this.sendMessage("executeCommand",{command:e}),!1)}focus(){this.sendMessage("focus")}blur(){this.sendMessage("blur")}canUndo(){return this.canUndoState}canRedo(){return this.canRedoState}dispose(){window.removeEventListener("message",this)}sendMessage(e,t={}){var a;null===(a=this.sourceFrame)||void 0===a||a.postMessage({type:on,action:e,...t},this.options.targetOrigin)}}function sn(e){if("object"!=typeof e)return{};const t={};return e.fontsDirectory&&(t.fontsDirectory=e.fontsDirectory),e.soundsDirectory&&(t.soundsDirectory=e.soundsDirectory),e.virtualKeyboards&&(t.virtualKeyboards=e.virtualKeyboards),e.virtualKeyboardLayout&&(t.virtualKeyboardLayout=e.virtualKeyboardLayout),e.customVirtualKeyboardLayers&&(t.customVirtualKeyboardLayers=e.customVirtualKeyboardLayers),e.customVirtualKeyboards&&(t.customVirtualKeyboards=e.customVirtualKeyboards),e.virtualKeyboardTheme&&(t.virtualKeyboardTheme=e.virtualKeyboardTheme),e.keypressVibration&&(t.keypressVibration=e.keypressVibration),e.keypressSound&&(t.keypressSound=e.keypressSound),e.plonkSound&&(t.plonkSound=e.plonkSound),e.virtualKeyboardToolbar&&(t.virtualKeyboardToolbar=e.virtualKeyboardToolbar),e.targetOrigin&&(t.targetOrigin=e.targetOrigin),e.originValidator&&(t.originValidator=e.originValidator),t}let ln,dn;class cn{constructor(e,t){var i,r,n;this.focusBlurInProgress=!1,this.stylesheets=[],this.audioBuffers={},this.options=vo({...wo(),registers:ma(this)},t.readOnly?{...t,virtualKeyboardMode:"off"}:{plonkSound:"plonk.wav",keypressSound:{spacebar:"keypress-spacebar.wav",return:"keypress-return.wav",delete:"keypress-delete.wav",default:"keypress-standard.wav"},...t}),"auto"===this.options.virtualKeyboardMode&&(this.options.virtualKeyboardMode=o()?"onfocus":"off"),void 0!==this.options.computeEngine&&(this._computeEngine=t.computeEngine),t.eventSink&&(this.host=t.eventSink),this.placeholders=new Map,this.element=e,e.mathfield=this;let s=null!==(i=t.value)&&void 0!==i?i:this.element.textContent;s&&(s=s.trim()),null!==this.options.fontsDirectory&&Do(this.options.fontsDirectory),ln||(ln=Mi(Vi).toString(36)),this.stylesheets.push(Li(e,Vi,ln)),dn||(dn=Mi(Lo).toString(36)),this.stylesheets.push(Li(e,Lo,dn));let l="<span class=ML__textarea>";if(o()?l+="<span class=ML__textarea__textarea tabindex=-1 role=textbox></span>":l+=`<textarea class=ML__textarea__textarea autocapitalize=off autocomplete=off autocorrect=off spellcheck=false inputmode=none aria-hidden="true" tabindex="${null!==(r=e.tabIndex)&&void 0!==r?r:0}"></textarea>`,l+="</span>",l+='<span part="container" class="ML__container"><span part="content" class="ML__content"></span>',l+=`<div part='virtual-keyboard-toggle' class="ML__virtual-keyboard-toggle" role="button" data-ML__tooltip="${d("tooltip.toggle virtual keyboard")}">`,l+=null!==(n=this.options.virtualKeyboardToggleGlyph)&&void 0!==n?n:xo,l+="</div>",l+="<div class='ML__placeholdercontainer'></div>",l+="</span>",l+='<div class="ML__sr-only"><span aria-role="status" aria-live="assertive" aria-atomic="true"></span><span></span></div>',this.element.innerHTML=this.options.createHTML(l),!this.element.children)return;let c=0;const u=this.element.children[c++].firstElementChild;this.field=this.element.children[c].children[0],c++,this.virtualKeyboardToggle=this.element.querySelector(".ML__virtual-keyboard-toggle"),this.ariaLiveText=this.element.children[c].children[0],this.accessibleNode=this.element.children[c++].children[1],this.keystrokeCaptionVisible=!1,this.popoverVisible=!1,this.suggestionIndex=0,this.inlineShortcutBuffer=[],this.inlineShortcutBufferFlushTimer=0,this.mode=_o(this.options),this.smartModeSuppressed=!1,this.style={},this.options.readOnly||"manual"!==this.options.virtualKeyboardMode?this.virtualKeyboardToggle.classList.remove("is-visible"):this.virtualKeyboardToggle.classList.add("is-visible"),this.options.readOnly?this.element.classList.add("ML__isReadOnly"):this.element.classList.remove("ML__isReadOnly"),"inline-math"===this.options.defaultMode?this.element.classList.add("ML__isInline"):this.element.classList.remove("ML__isInline"),this.element.querySelector(".ML__content").addEventListener("click",(e=>e.stopImmediatePropagation()),{capture:!1}),this.field.addEventListener("wheel",this,{passive:!1}),mr((e=>this.executeCommand(e)),this.virtualKeyboardToggle,{default:"toggleVirtualKeyboard",alt:"toggleVirtualKeyboardAlt",shift:"toggleVirtualKeyboardShift"}),this.blurred=!0,oi(this.element,"focus",this),oi(this.element,"blur",this),this.keyboardDelegate=function(e,t,a){let i,o=null,r=null,n=!1,s=!1,l=!1;function d(e){clearTimeout(i),i=setTimeout((()=>{clearTimeout(i),e()}))}function c(){if(e.selectionStart!==e.selectionEnd)return;const t=e.value;e.value="",t.length>0&&a.typedText(t)}const u=e;return u.addEventListener("keydown",(t=>{n||"Process"===t.key||"CapsLock"===t.code||/(Control|Meta|Alt|Shift)(Left|Right)/.test(t.code)?o=null:(o=t,r=null,a.keystroke(dr(t),t)?"textarea"!==e.tagName.toLowerCase()&&(1===t.key.length&&a.typedText(t.key),t.preventDefault()):(o=null,e.value=""))}),!0),u.addEventListener("keypress",(e=>{n||(o&&r&&a.keystroke(dr(o),o),r=e,d(c))}),!0),u.addEventListener("keyup",(()=>{n||o&&!r&&c()}),!0),u.addEventListener("paste",(t=>{e.focus(),e.value="",a.paste(t)||t.preventDefault(),t.stopImmediatePropagation()}),!0),u.addEventListener("cut",(e=>a.cut(e)),!0),u.addEventListener("copy",(e=>a.copy(e)),!0),u.addEventListener("blur",(i=>{var n,d,c;if((null===(d=null===(n=i.relatedTarget)||void 0===n?void 0:n._mathfield)||void 0===d?void 0:d.element)===t)return e.focus(),i.preventDefault(),void i.stopPropagation();const u=null===(c=rr.scrim)||void 0===c?void 0:c.state;return"open"===u||"opening"===u||i.relatedTarget===i.target.getRootNode().host?(i.preventDefault(),void i.stopPropagation()):void(l||s||(l=!0,o=null,r=null,a.blur&&a.blur(),l=!1,i.stopPropagation()))}),!0),u.addEventListener("focus",(t=>{l||s||(s=!0,a.focus&&a.focus(),cr()===e&&"function"==typeof e.select&&e.select(),s=!1,t.stopPropagation())}),!0),u.addEventListener("compositionstart",(t=>{n=!0,e.value="",a.compositionStart&&a.compositionStart(t.data)}),!0),u.addEventListener("compositionupdate",(e=>{n&&a.compositionUpdate&&a.compositionUpdate(e.data)}),!0),u.addEventListener("compositionend",(t=>{e.value="",n&&(n=!1,a.compositionEnd&&a.compositionEnd(t.data))}),!0),u.addEventListener("beforeinput",(e=>{e.stopImmediatePropagation()})),u.addEventListener("input",(e=>{if(!n&&"insertCompositionText"!==e.inputType){if("insertFromPaste"===e.inputType)return e.preventDefault(),void e.stopPropagation();d(c),e.preventDefault(),e.stopPropagation()}})),{cancelComposition:()=>{const t=a.blur,i=a.focus;a.blur=null,a.focus=null,e.blur(),e.focus(),a.blur=t,a.focus=i},blur:()=>{"function"==typeof e.blur&&e.blur()},focus:()=>{"function"==typeof e.focus&&e.focus()},hasFocus:()=>cr()===e,setValue:t=>{t?(e.value=t,cr()===e&&"function"==typeof e.select&&e.select()):(e.value="",e.setAttribute("aria-label",""))},setAriaLabel:t=>{e.setAttribute("aria-label","after: "+t)},moveTo:(t,a)=>{e.style.top=`${a}px`,e.style.left=`${t}px`}}}(u,this.element,{typedText:e=>Wr(this,e),cut:e=>{this.options.readOnly?this.model.announce("plonk"):ji(this.model,{inputType:"deleteByCut"})&&(this.snapshot(),Na.onCopy(this,e),setTimeout((()=>{Wo(this.model,Aa(this.model.selection),"deleteByCut"),so(this)}),0))},copy:e=>Na.onCopy(this,e),paste:e=>{let t=!0;return this.options.readOnly&&(t=!1),t&&(t=Na.onPaste(this.model.at(this.model.position).mode,this,e)),t||this.model.announce("plonk"),t},keystroke:(e,t)=>jr(this,e,t),focus:()=>this.onFocus(),blur:()=>this.onBlur(),compositionStart:e=>this.onCompositionStart(e),compositionUpdate:e=>this.onCompositionUpdate(e),compositionEnd:e=>this.onCompositionEnd(e)}),a()&&"PointerEvent"in window?oi(this.field,"pointerdown",this):oi(this.field,"touchstart:active mousedown",this),oi(window,"resize",this),window.addEventListener("blur",(()=>{li(this)&&this.hasFocus()&&window.addEventListener("focus",(e=>{e.target===window&&li(this)&&this.focus()}),{once:!0})}),{capture:!0}),this.model=new No({mode:_o(this.options),macros:this.options.macros,removeExtraneousParentheses:this.options.removeExtraneousParentheses},{onSelectionDidChange:e=>this._onSelectionDidChange()},this),this.undoManager=new pr(this.model),s&&Na.insert("math",this.model,s,{insertionMode:"replaceAll",selectionMode:"after",format:"latex",suppressChangeNotifications:!0}),this.undoManager.startRecording(),this.undoManager.snapshot(),this.model.setListeners({onSelectionDidChange:e=>this._onSelectionDidChange()}),so(this),a()&&document.fonts.ready.then((()=>lo(this)))}get audioContext(){return this._audioContext||(this._audioContext=new AudioContext),this._audioContext}get colorMap(){return e=>{var t;let a;return"function"==typeof(null===(t=this.options)||void 0===t?void 0:t.colorMap)&&(a=this.options.colorMap(e)),a||(a=y(e)),a}}get backgroundColorMap(){return e=>{var t;let a;return"function"==typeof(null===(t=this.options)||void 0===t?void 0:t.backgroundColorMap)&&(a=this.options.backgroundColorMap(e)),a||"function"!=typeof this.options.colorMap||(a=this.options.colorMap(e)),a||(a=b(e)),a}}get fractionNavigationOrder(){var e,t;return null!==(t=null===(e=this.options)||void 0===e?void 0:e.fractionNavigationOrder)&&void 0!==t?t:"numerator-denominator"}get placeholderSymbol(){var e,t;return null!==(t=null===(e=this.options)||void 0===e?void 0:e.placeholderSymbol)&&void 0!==t?t:"\u25a2"}get smartFence(){var e,t;return null!==(t=null===(e=this.options)||void 0===e?void 0:e.smartFence)&&void 0!==t&&t}get letterShapeStyle(){var e,t;return null!==(t=null===(e=this.options)||void 0===e?void 0:e.letterShapeStyle)&&void 0!==t?t:"tex"}get registers(){var e,t;return null!==(t=null===(e=this.options)||void 0===e?void 0:e.registers)&&void 0!==t?t:{}}getDefinition(e,t="math"){return ya(e,t)}getMacro(e){return ba(e,this.options.macros)}get virtualKeyboard(){if(!this.options.readOnly)return this._virtualKeyboard||(this.options.useSharedVirtualKeyboard||qn().sharedVirtualKeyboard?this._virtualKeyboard=new rn({targetOrigin:this.options.sharedVirtualKeyboardTargetOrigin,originValidator:this.options.originValidator,mathfield:this}):this._virtualKeyboard=new br(this.options,this)),this._virtualKeyboard}get computeEngine(){var e,t;if(void 0===this._computeEngine){const t=null===(e=globalThis[Symbol.for("io.cortexjs.compute-engine")])||void 0===e?void 0:e.ComputeEngine;t&&(this._computeEngine=new t),this._computeEngine&&","===this.options.decimalSeparator&&(this._computeEngine.latexOptions.decimalMarker="{,}")}return null!==(t=this._computeEngine)&&void 0!==t?t:null}get virtualKeyboardState(){var e;return(null===(e=this.virtualKeyboard)||void 0===e?void 0:e.visible)?"visible":"hidden"}set virtualKeyboardState(e){this.virtualKeyboard&&("hidden"===e?this.virtualKeyboard.executeCommand("hideVirtualKeyboard"):"visible"===e&&this.virtualKeyboard.executeCommand("showVirtualKeyboard"))}get keybindings(){var e,t;if(this._keybindings)return this._keybindings;const[a,i]=function(e,t){const a=[],i=[];for(const o of e)try{const e=Pi(o,t);if(e){const i=a.filter((t=>t.key===e.key&&t.ifMode===e.ifMode));if(i.length>0)throw new Error(`Ambiguous key binding ${o.key} (${Ri(o.command)}) matches ${i[0].key} (${Ri(i[0].command)}) with the ${t.displayName} keyboard layout`);a.push(e)}}catch(e){e instanceof Error&&i.push(e.message)}return[a,i]}(this.options.keybindings,null!==(e=Ei())&&void 0!==e?e:Ti);return(null===(t=Ei())||void 0===t?void 0:t.score)>0&&(this._keybindings=a,i.length),a}setOptions(e){var t,a;if(this.options=vo(this.options,e),"computeEngine"in e&&(this._computeEngine=this.options.computeEngine),this._computeEngine&&"decimalSeparator"in e&&(this._computeEngine.latexOptions.decimalMarker=","===this.options.decimalSeparator?"{,}":"."),this.model.setListeners({onSelectionDidChange:e=>this._onSelectionDidChange()}),this.model.options.macros=this.options.macros,this._keybindings=void 0,("soundsDirectory"in e||"plonkSound"in e||"keypressSound"in e||"spacebarKeypressSound"in e||"returnKeypressSound"in e||"deleteKeypressSound"in e)&&(this.audioBuffers={}),"inline-math"===this.options.defaultMode?this.element.classList.add("ML__isInline"):this.element.classList.remove("ML__isInline"),this.options.readOnly?(this.hasFocus()&&"visible"===this.virtualKeyboardState&&this.executeCommand("hideVirtualKeyboard"),this.onBlur(),this.element.classList.add("ML__isReadOnly")):this.element.classList.remove("ML__isReadOnly"),null===(t=this.virtualKeyboard)||void 0===t||t.setOptions(this.options),this.options.readOnly||"manual"!==this.options.virtualKeyboardMode?this.virtualKeyboardToggle.classList.remove("is-visible"):this.virtualKeyboardToggle.classList.add("is-visible"),"virtualKeyboardToggleGlyph"in e){const e=null===(a=this.element)||void 0===a?void 0:a.querySelector(".ML__virtual-keyboard-toggle");e&&(e.innerHTML=this.options.createHTML(this.options.virtualKeyboardToggleGlyph))}const i=dt.serialize(this.model.root,{expandMacro:!1,defaultMode:this.options.defaultMode});("macros"in e||this.model.getValue()!==i)&&Na.insert("math",this.model,i,{insertionMode:"replaceAll",selectionMode:"after",format:"latex",suppressChangeNotifications:!0}),so(this)}getOptions(e){return ko(this.options,e)}getOption(e){return ko(this.options,e)}handleEvent(e){if(li(this))switch(e.type){case"focus":this.onFocus();break;case"blur":this.onBlur();break;case"touchstart":case"mousedown":case"pointerdown":!function(e,t){var i;e.atomBoundsCache=new Map;const o=e;let r,n=!1,s="none";if(Yr(t)&&t.buttons>1)return;let l=!1,d=!1;const c=Zr(t)?t.touches[0].clientX:t.clientX,u=Zr(t)?t.touches[0].clientY:t.clientY,p=Date.now(),h=o.field,m=setInterval((()=>{l?h.scroll({top:0,left:h.scrollLeft-16}):d&&h.scroll({top:0,left:h.scrollLeft+16})}),32);function f(t){a()&&("PointerEvent"in window?(ri(h,"pointermove",y),ri(h,"pointerup pointercancel",f),t instanceof PointerEvent&&h.releasePointerCapture(t.pointerId)):(ri(h,"touchmove",y),ri(h,"touchcancel touchend",f),ri(window,"mousemove",y),ri(window,"mouseup blur",f)),n=!1,clearInterval(m),e.element.classList.remove("tracking"),t&&t.preventDefault())}function y(t){if(!o.hasFocus())return void f(null);const a=Zr(t)?t.touches[0].clientX:t.clientX,i=Zr(t)?t.touches[0].clientY:t.clientY,n=Zr(t)||"touch"===t.pointerType?20:5;if(Date.now()<p+500&&Math.abs(c-a)<n&&Math.abs(u-i)<n)return t.preventDefault(),void t.stopPropagation();const s=h.getBoundingClientRect();d=a>s.right,l=a<s.left;let m=r;Yr(t)?t.isPrimary||(m=an(o,t.clientX,t.clientY,{bias:0})):t.touches&&2===t.touches.length&&(m=an(o,t.touches[1].clientX,t.touches[1].clientY,{bias:0}));const y=an(o,a,i,{bias:a<=c?a===c?0:-1:1});m>=0&&y>=0&&(o.model.extendSelectionTo(m,y),so(e)),t.preventDefault(),t.stopPropagation()}Xr&&Math.abs(Xr.x-c)<5&&Math.abs(Xr.y-u)<5&&Date.now()<Xr.time+500?(Gr+=1,Xr.time=p):(Xr={x:c,y:u,time:p},Gr=1);const b=h.getBoundingClientRect();if(c>=b.left&&c<=b.right&&u>=b.top&&u<=b.bottom){if(e.hasFocus()||(s="all",e.focus({scrollIntoView:!1})),e.flushInlineShortcutBuffer(),e.smartModeSuppressed=!1,r=an(e,c,u,{bias:0}),r>=0){if(e.element.classList.add("tracking"),t.shiftKey){const t=e.model.selectionIsCollapsed;e.model.extendSelectionTo(e.model.anchor,r),s=Zi(e.model)||t?"all":"selection"}else"placeholder"===e.model.at(r).type?(e.model.setSelection(r-1,r),s="selection"):"placeholder"===(null===(i=e.model.at(r).rightSibling)||void 0===i?void 0:i.type)?(e.model.setSelection(r,r+1),s="selection"):(e.model.position=r,s=Zi(e.model)?"all":"selection");e.style={},3===t.detail||Gr>2?(f(t),3!==t.detail&&3!==Gr||(e.model.selection={ranges:[[0,e.model.lastOffset]]},s="all")):n||(n=!0,a()&&"PointerEvent"in window?(oi(h,"pointermove",y),oi(h,"pointerup pointercancel",f),t instanceof PointerEvent&&h.setPointerCapture(t.pointerId)):(oi(window,"blur",f),Zr(t)&&t.touches?(oi(t.target,"touchmove",y),oi(t.target,"touchcancel touchend",f)):(oi(window,"mousemove",y),oi(window,"mouseup",f))),2!==t.detail&&2!==Gr||(or(e.model),s="all"))}}else Xr=null;"none"!==s&&(e.model.selectionIsCollapsed&&(s="all"),so(e)),t.preventDefault()}(this,e);break;case"resize":this.resizeTimer&&cancelAnimationFrame(this.resizeTimer),this.resizeTimer=requestAnimationFrame((()=>li(this)&&this.onResize()));break;case"wheel":this.onWheel(e)}}dispose(){if(!li(this))return;const e=this.element;delete this.element,delete e.mathfield,e.innerHTML=this.model.getValue(),ri(e,"pointerdown",this),ri(e,"touchstart:active mousedown",this),ri(e,"focus",this),ri(e,"blur",this),ri(window,"resize",this),window.removeEventListener("blur",this,{capture:!0}),delete this.accessibleNode,delete this.ariaLiveText,delete this.field,delete this.fieldContent,this.virtualKeyboardToggle.remove(),delete this.virtualKeyboardToggle,this._virtualKeyboard&&(this._virtualKeyboard.dispose(),delete this._virtualKeyboard),si(this.popover),eo&&eo.release(),to&&to.release(),delete this.popover,si(this.keystrokeCaption),Or&&Or.release(),Nr&&Nr.release(),delete this.keystrokeCaption,this.stylesheets.forEach((e=>null==e?void 0:e.release()))}flushInlineShortcutBuffer(e){if(null!=e||(e={defer:!1}),!e.defer)return this.inlineShortcutBuffer=[],clearTimeout(this.inlineShortcutBufferFlushTimer),void(this.inlineShortcutBufferFlushTimer=0);this.options.inlineShortcutTimeout>0&&(clearTimeout(this.inlineShortcutBufferFlushTimer),this.inlineShortcutBufferFlushTimer=setTimeout((()=>this.flushInlineShortcutBuffer()),this.options.inlineShortcutTimeout))}executeCommand(e){var a,i;return"virtual-keyboard"===ho(e)?null!==(i=null===(a=this.virtualKeyboard)||void 0===a?void 0:a.executeCommand(e))&&void 0!==i&&i:function(e,a){var i,o,r;if(!a)return!1;let n,s=[],l=!1,d=!1;t(a)?(n=a[0],s=a.slice(1)):n=a,n=n.replace(/-\w/g,(e=>e[1].toUpperCase()));const c=null===(i=uo[n])||void 0===i?void 0:i.target;if("model"===c){if(e.options.readOnly&&/^(paste|cut|insert|delete|transpose|add)/.test(n))return e.model.announce("plonk"),!1;/^(delete|transpose|add)/.test(n)&&"deleteBackward"!==n&&e.flushInlineShortcutBuffer(),/^(delete|transpose|add)/.test(n)&&"latex"!==e.mode&&(e.popUndoStack(),e.snapshot()),"latex"!==e.mode||/^(complete)/.test(n)||Xi(e),uo[n].fn(e.model,...s),"latex"!==e.mode&&/^(delete|transpose|add)/.test(n)&&e.snapshot(),"latex"===e.mode&&Gi(e),d=!0,l=!0}else if("virtual-keyboard"===c)d=null!==(r=null===(o=e.virtualKeyboard)||void 0===o?void 0:o.executeCommand(a))&&void 0!==r&&r,l=!0;else{if(!uo[n])throw new Error(`Unknown command "${n}"`);/^(undo|redo)/.test(n)&&e.flushInlineShortcutBuffer(),d=uo[n].fn(e,...s),l=!0}return"virtual-keyboard"!==c&&(e.model.selectionIsCollapsed&&!/^(transpose|paste|complete|((moveToNextChar|moveToPreviousChar|extend).*))_$/.test(n)||(e.flushInlineShortcutBuffer(),e.style={})),d&&so(e),l}(this,e)}get errors(){return Pt(this.model.getValue(),this)}getValue(e,t,a){return this.model.getValue(e,t,a)}setValue(e,t){var a;void 0===(t=null!=t?t:{mode:"math"}).insertionMode&&(t.insertionMode="replaceAll"),void 0!==t.format&&"auto"!==t.format||(t.format="latex");let i="math";void 0!==t.mode&&"auto"!==t.mode||(i=null!==(a=Jo(this.model,this.model.position))&&void 0!==a?a:"math"),Na.insert(i,this.model,e,t)&&(this.undoManager.snapshot(),so(this))}get expression(){const e=this.computeEngine;return e?e.box(e.parse(this.model.getValue())):null}loadSound(e){var t,a,i,o,r,n,s;delete this.audioBuffers[e];let l="";switch(e){case"keypress":l="string"==typeof this.options.keypressSound?this.options.keypressSound:null===(t=this.options.keypressSound)||void 0===t?void 0:t.default;break;case"spacebar":l="string"==typeof this.options.keypressSound?this.options.keypressSound:null!==(i=null===(a=this.options.keypressSound)||void 0===a?void 0:a.spacebar)&&void 0!==i?i:null===(o=this.options.keypressSound)||void 0===o?void 0:o.default;break;case"delete":l="string"==typeof this.options.keypressSound?this.options.keypressSound:null!==(n=null===(r=this.options.keypressSound)||void 0===r?void 0:r.delete)&&void 0!==n?n:null===(s=this.options.keypressSound)||void 0===s?void 0:s.default;break;case"plonk":l=this.options.plonkSound}if("string"!=typeof l)return;l=l.trim();const d=this.options.soundsDirectory;null!=d&&"null"!==d&&"none"!==l&&"null"!==l&&fetch(Ao(d+"/"+l)).then((e=>e.arrayBuffer())).then((e=>this.audioContext.decodeAudioData(e))).then((t=>{this.audioBuffers[e]=t}))}playSound(e){if(this.audioBuffers[e]||this.loadSound(e),!this.audioBuffers[e])return;const t=this.audioContext.createBufferSource();t.buffer=this.audioBuffers[e];const a=this.audioContext.createGain();a.gain.value=.5,t.connect(a).connect(this.audioContext.destination),t.start()}scrollIntoView(){var e;if(!this.element)return;null===(e=this.host)||void 0===e||e.scrollIntoView({block:"nearest",inline:"nearest"}),this.dirty&&lo(this,{interactive:!0});const t=this.field.getBoundingClientRect();let a=null;if(this.model.selectionIsCollapsed)a=di(this.field);else{const e=mi(this);if(e.length>0){let i=-1/0,o=-1/0;for(const t of e)t.right>i&&(i=t.right),t.top<o&&(o=t.top);a={x:i+t.left-this.field.scrollLeft,y:o+t.top-this.field.scrollTop,height:0}}}if(this.host&&a){const e=this.host.getBoundingClientRect(),t=a.y;let i=this.host.scrollTop;t<e.top?i=t-e.top+this.host.scrollTop:t>e.bottom&&(i=t-e.bottom+this.host.scrollTop+a.height),this.host.scroll({top:i,left:0})}if(a){const e=a.x-window.scrollX;let i=this.field.scrollLeft;e<t.left?i=e-t.left+this.field.scrollLeft-20:e>t.right&&(i=e-t.right+this.field.scrollLeft+20),this.field.scroll({top:this.field.scrollTop,left:i})}}insert(e,t){if("string"==typeof e&&e.length>0){if(this.flushInlineShortcutBuffer(),(t=null!=t?t:{mode:"math"}).focus&&this.focus(),t.feedback&&(this.options.keypressVibration&&r()&&navigator.vibrate(3),this.playSound("keypress")),t.scrollIntoView&&this.scrollIntoView(),"\\\\"===e)Io(this.model);else if("&"===e)Vo(this.model);else{const a=this.style;Na.insert(this.mode,this.model,e,{style:this.model.at(this.model.position).computedStyle,...t}),t.resetStyle&&(this.style=a)}return this.undoManager.snapshot(),so(this),!0}return!1}switchMode(e,t="",a=""){var i;if(this.mode===e||this.options.readOnly)return;if(!(null===(i=this.host)||void 0===i?void 0:i.dispatchEvent(new Event("mode-change",{bubbles:!0,composed:!0,cancelable:!0}))))return;const o=this.mode,{model:r}=this;r.deferNotifications({content:Boolean(a)||Boolean(t),selection:!0,type:"insertText"},(()=>{var i;let n=!1;if(this.flushInlineShortcutBuffer(),this.smartModeSuppressed=/text|math/.test(this.mode)&&/text|math/.test(e),t&&"latex"!==e){const a=Ft(t,this,{parseMode:e});r.collapseSelection("forward");const i=r.at(r.position);r.position=r.offsetOf(i.parent.addChildrenAfter(a,i)),n=!0}if(this.mode=e,"latex"===e){let e,a=r.selectionIsCollapsed;Yi(this,"accept"),(null===(i=this.virtualKeyboard)||void 0===i?void 0:i.visible)&&this.executeCommand(["switchKeyboardLayer","latex-lower"]);let o=r.at(r.position);if(a)e="\\";else{const i=Aa(r.selection);e=this.model.getValue(i,"latex");const n=this.model.extractAtoms(i);1===n.length&&n[0]instanceof Kt&&(e=t,a=!0),o=r.at(i[0])}const n=new ia(e,this);o.parent.addChildAfter(n,o),a?r.position=r.offsetOf(n.lastChild):r.setSelection(r.offsetOf(n.firstChild),r.offsetOf(n.lastChild))}else Ji(r).forEach((e=>{e.isError=!1}));if(a){const e=Ft(a,this,{parseMode:o});r.collapseSelection("forward");const t=r.at(r.position);r.position=r.offsetOf(t.parent.addChildrenAfter(e,t)),n=!0}return so(this),n})),this.mode=e}hasFocus(){return a()&&this.keyboardDelegate.hasFocus()}focus(e){var t;this.keyboardDelegate.focus(),this.model.announce("line"),(null===(t=null==e?void 0:e.scrollIntoView)||void 0===t||t)&&this.scrollIntoView()}blur(){this.keyboardDelegate.blur()}select(){this.model.selection={ranges:[[0,this.model.lastOffset]]}}applyStyle(e,t={}){var a,i;const o={operation:"set",suppressChangeNotifications:!1};Bo(t)?o.range=t:(o.range=t.range,o.suppressChangeNotifications=null!==(a=t.suppressChangeNotifications)&&void 0!==a&&a);const r=Ur(this,e),n=null!==(i=o.operation)&&void 0!==i?i:"set";this.model.deferNotifications({content:!o.suppressChangeNotifications,type:"insertText"},(()=>{void 0===o.range?this.model.selection.ranges.forEach((e=>Xo(this.model,e,r,{operation:n}))):Xo(this.model,o.range,r,{operation:n})})),so(this)}getCaretPoint(){const e=di(this.field);return e?{x:e.x,y:e.y}:null}setCaretPoint(e,t){const a=an(this,e,t,{bias:0});if(a<0)return!1;const i=this.model.position;return this.model.position=a,this.model.announce("move",i),so(this),!0}getPlaceholderField(e){var t;return null===(t=this.placeholders.get(e))||void 0===t?void 0:t.field}attachNestedMathfield(){let e=!1;const t=this.field.getBoundingClientRect();this.placeholders.forEach(((a,i)=>{var o,r;const n=this.field.querySelector(`[data-placeholder-id=${i}]`);if(!n)return;const s=n.getBoundingClientRect(),l=s.left-t.left+(null!==(o=this.element.offsetLeft)&&void 0!==o?o:0);(!a.field.style.left||Math.abs(l-parseFloat(a.field.style.left))>=1)&&(e=!0,a.field.style.left=`${l}px`);const d=s.top-t.top+(null!==(r=this.element.offsetTop)&&void 0!==r?r:0);(!a.field.style.top||Math.abs(d-parseFloat(a.field.style.top))>=1)&&(e=!0,a.field.style.top=`${d}px`)})),e&&so(this)}canUndo(){return this.undoManager.canUndo()}canRedo(){return this.undoManager.canRedo()}popUndoStack(){this.undoManager.pop()}snapshot(){var e,t;this.undoManager.snapshot()&&(null===(e=this.virtualKeyboard)||void 0===e||e.executeCommand(["onUndoStateChanged",this.canUndo(),this.canRedo()]),null===(t=this.host)||void 0===t||t.dispatchEvent(new CustomEvent("undo-state-change",{bubbles:!0,composed:!0,detail:{type:"snapshot"}})))}snapshotAndCoalesce(){var e,t;this.undoManager.snapshotAndCoalesce()&&(null===(e=this.virtualKeyboard)||void 0===e||e.executeCommand(["onUndoStateChanged",this.canUndo(),this.canRedo()]),null===(t=this.host)||void 0===t||t.dispatchEvent(new CustomEvent("undo-state-change",{bubbles:!0,composed:!0,detail:{type:"snapshot"}})))}undo(){var e,t;this.undoManager.undo()&&(null===(e=this.virtualKeyboard)||void 0===e||e.executeCommand(["onUndoStateChanged",this.canUndo(),this.canRedo()]),null===(t=this.host)||void 0===t||t.dispatchEvent(new CustomEvent("undo-state-change",{bubbles:!0,composed:!0,detail:{type:"undo"}})))}redo(){var e,t;this.undoManager.redo()&&(null===(e=this.virtualKeyboard)||void 0===e||e.executeCommand(["onUndoStateChanged",this.canUndo(),this.canRedo()]),null===(t=this.host)||void 0===t||t.dispatchEvent(new CustomEvent("undo-state-change",{bubbles:!0,composed:!0,detail:{type:"undo"}})))}resetUndo(){var e;null===(e=this.undoManager)||void 0===e||e.reset()}_onSelectionDidChange(){var e,t,a;this.keyboardDelegate.setValue(this.model.getValue(this.model.selection,"latex-expanded"));const i=this.model.getAtoms(this.model.selection);if(1===i.length&&"placeholder"===i[0].type){const t=i[0];this.model.mathfield.placeholders.has(t.placeholderId)&&(null===(e=this.model.mathfield.placeholders.get(t.placeholderId))||void 0===e||e.field.focus())}{const e=this.model.at(this.model.position),a=null!==(t=e.mode)&&void 0!==t?t:_o(this.options);this.mode!==a&&("latex"===this.mode?(Yi(this,"accept",{mode:a}),this.model.position=this.model.offsetOf(e)):this.switchMode(a))}null===(a=this.host)||void 0===a||a.dispatchEvent(new Event("selection-change",{bubbles:!0,composed:!0}))}onFocus(){var e,t,a;!this.focusBlurInProgress&&this.blurred&&(this.focusBlurInProgress=!0,this.blurred=!1,this.keyboardDelegate.focus(),null===(e=this.virtualKeyboard)||void 0===e||e.setOptions(this.options),null===(t=this.virtualKeyboard)||void 0===t||t.enable(),"onfocus"===this.options.virtualKeyboardMode&&this.executeCommand("showVirtualKeyboard"),io(this),lo(this,{interactive:!0}),null===(a=this.host)||void 0===a||a.dispatchEvent(new Event("focus",{bubbles:!1,composed:!0})),this.valueOnFocus=this.model.getValue(),this.focusBlurInProgress=!1)}onBlur(){var e,t;this.focusBlurInProgress||this.blurred||(this.focusBlurInProgress=!0,this.blurred=!0,this.ariaLiveText.textContent="",Yi(this,"accept"),this.model.getValue()!==this.valueOnFocus&&this.executeCommand("commit"),/onfocus|manual/.test(this.options.virtualKeyboardMode)&&!qn().sharedVirtualKeyboard&&this.executeCommand("hideVirtualKeyboard"),null===(e=this.virtualKeyboard)||void 0===e||e.disable(),null===(t=this.host)||void 0===t||t.dispatchEvent(new Event("blur",{bubbles:!1,composed:!0})),so(this),this.focusBlurInProgress=!1)}onCompositionStart(e){this.model.deleteAtoms(Aa(this.model.selection)),requestAnimationFrame((()=>{lo(this);const e=di(this.field);e&&this.keyboardDelegate.moveTo(e.x,e.y)}))}onCompositionUpdate(e){!function(e,t){const a=e.at(e.position);if("composition"===a.type)a.value=t;else{const{caret:i}=a;a.caret="";const o=new Ut(t,e.mathfield,{mode:a.mode});o.caret=i,a.parent.addChildAfter(o,a),e.position+=1}}(this.model,e),so(this)}onCompositionEnd(e){!function(e){const t=e.at(e.position);"composition"===t.type&&(t.parent.removeChild(t),e.position-=1)}(this.model),Wr(this,e,{simulateKeystroke:!0})}onResize(){io(this)}onWheel(e){const t=5*e.deltaX;if(!Number.isFinite(t)||0===t)return;const a=this.field;t<0&&0===a.scrollLeft||t>0&&a.offsetWidth+a.scrollLeft>=a.scrollWidth||(a.scrollBy({top:0,left:t}),e.preventDefault(),e.stopPropagation())}getHTMLElement(e){let t=e;for(;!t.id&&t.hasChildren;)t=e.children[0];if(t.id)return this.element.querySelector(`[data-atom-id="${t.id}"]`);throw new TypeError("Could not get an ID from atom")}}var un,pn,hn,mn;const fn=a()?document.createElement("template"):null;fn&&(fn.innerHTML='<style>\n:host { display: block; position: relative; overflow: hidden auto;}\n:host([hidden]) { display: none; }\n:host([disabled]) { opacity:  .5; }\n:host(:focus), :host(:focus-within) {\n  outline: Highlight auto 1px;    /* For Firefox */\n  outline: -webkit-focus-ring-color auto 1px;\n}\n:host([readonly]), :host([read-only]) { outline: none; }\n</style>\n<div></div><slot style="display:none"></slot>');const yn=new WeakMap;class bn extends HTMLElement{static get optionsAttributes(){return{"default-mode":"string","fonts-directory":"string","sounds-directory":"string","horizontal-spacing-scale":"string","math-mode-space":"string","inline-shortcut-timeout":"string","keypress-vibration":"on/off","keypress-sound":"string","plonk-sound":"string","letter-shape-style":"string",locale:"string","read-only":"boolean","remove-extraneous-parentheses":"on/off","smart-fence":"on/off","smart-mode":"on/off","smart-superscript":"on/off","speech-engine":"string","speech-engine-rate":"string","speech-engine-voice":"string","text-to-speech-markup":"string","text-to-speech-rules":"string","virtual-keyboard-layout":"string","virtual-keyboard-mode":"string","virtual-keyboard-theme":"string","virtual-keyboards":"string","use-shared-virtual-keyboard":"boolean","shared-virtual-keyboard-target-origin":"string"}}static get observedAttributes(){return[...Object.keys(bn.optionsAttributes),"disabled","readonly","read-only"]}constructor(e){i(),super(),this.attachShadow({mode:"open"}),this.shadowRoot.append(fn.content.cloneNode(!0));const t=this.shadowRoot.querySelector("slot:not([name])");this._slotValue=t.assignedNodes().map((e=>3===e.nodeType?e.textContent:"")).join("").trim(),e&&this.setOptions(e),this.shadowRoot.host.addEventListener("pointerdown",(e=>this.onPointerDown()),!0),this.shadowRoot.host.addEventListener("focus",(()=>{var e;return null===(e=this._mathfield)||void 0===e?void 0:e.focus()}),!0),this.shadowRoot.host.addEventListener("blur",(()=>{var e;return null===(e=this._mathfield)||void 0===e?void 0:e.blur()}),!0)}onPointerDown(){window.addEventListener("pointerup",(e=>{e.target===this&&this.dispatchEvent(new MouseEvent("click",{altKey:e.altKey,button:e.button,buttons:e.buttons,clientX:e.clientX,clientY:e.clientY,ctrlKey:e.ctrlKey,metaKey:e.metaKey,movementX:e.movementX,movementY:e.movementY,relatedTarget:e.relatedTarget,screenX:e.screenX,screenY:e.screenY,shiftKey:e.shiftKey}))}),{once:!0})}getPlaceholderField(e){var t;return null===(t=this._mathfield)||void 0===t?void 0:t.getPlaceholderField(e)}addEventListener(e,t,a){return super.addEventListener(e,t,a)}removeEventListener(e,t,a){super.removeEventListener(e,t,a)}get mode(){var e,t;return null!==(t=null===(e=this._mathfield)||void 0===e?void 0:e.mode)&&void 0!==t?t:"math"}set mode(e){this._mathfield&&(this._mathfield.mode=e)}get computeEngine(){if(this._mathfield)return this._mathfield.computeEngine}set computeEngine(e){this._mathfield&&this._mathfield.setOptions({computeEngine:e})}get expression(){if(this._mathfield)return this._mathfield.expression}set expression(e){var t,a;if(!this._mathfield)return;const i=null!==(a=null===(t=this.computeEngine)||void 0===t?void 0:t.box(e).latex)&&void 0!==a?a:null;null!==i&&this._mathfield.setValue(i)}get errors(){var e,t;return null!==(t=null===(e=this._mathfield)||void 0===e?void 0:e.errors)&&void 0!==t?t:[]}get placeholders(){if(!this._mathfield)return{};const e={};for(const[t,a]of this._mathfield.placeholders)e[t]=a.field;return e}getOptions(e){return this._mathfield?ko(this._mathfield.options,e):yn.has(this)?ko(vo(wo(),yn.get(this).options),e):null}getOption(e){return this.getOptions([e])[e]}setOptions(e){if(this._mathfield)this._mathfield.setOptions(e),this._mathfield.placeholders.forEach((t=>{t.field.setOptions({...e,readOnly:!1})}));else if(yn.has(this)){const t={...yn.get(this).options,...e};yn.set(this,{...yn.get(this),selection:{ranges:t.readOnly?[[0,0]]:[[0,-1]]},options:t})}else yn.set(this,{value:void 0,selection:{ranges:[[0,0]]},options:e});!function(e){const t=wo(),a=e.getOptions();Object.keys(bn.optionsAttributes).forEach((i=>{const o=gn(i);"on/off"===bn.optionsAttributes[i]?t[o]!==a[o]?e.setAttribute(i,a[o]?"on":"off"):e.removeAttribute(i):t[o]!==a[o]&&("boolean"===bn.optionsAttributes[i]?a[o]?e.setAttribute(i,""):e.removeAttribute(i):"string"!=typeof a[o]&&"number"!=typeof a[o]||e.setAttribute(i,a[o].toString()))}))}(this)}executeCommand(e){var t,a;return null!==(a=null===(t=this._mathfield)||void 0===t?void 0:t.executeCommand(e))&&void 0!==a&&a}getValue(e,t,a){var i,o;if(this._mathfield)return this._mathfield.model.getValue(e,t,a);if(yn.has(this)){let r,n,s;if(Ko(e)?([r,n]=e.ranges[0],s=t):Bo(e)?([r,n]=e,s=t):zo(e)&&zo(t)?(r=e,n=t,s=a):(r=0,n=-1,s=e),(void 0===s||"latex"===s)&&0===r&&-1===n)return null!==(o=null!==(i=yn.get(this).value)&&void 0!==i?i:this.textContent)&&void 0!==o?o:""}return""}setValue(e,t){if(this._mathfield&&void 0!==e)return t||(t={suppressChangeNotifications:!0}),void this._mathfield.setValue(e,t);if(yn.has(this)){const t=yn.get(this).options;return void yn.set(this,{value:e,selection:{ranges:t.readOnly?[[0,0]]:[[0,-1]],direction:"forward"},options:t})}const a=vn(this);yn.set(this,{value:e,selection:{ranges:a.readOnly?[[0,0]]:[[0,-1]],direction:"forward"},options:a})}hasFocus(){var e,t;return null!==(t=null===(e=this._mathfield)||void 0===e?void 0:e.hasFocus())&&void 0!==t&&t}get virtualKeyboardState(){var e,t;return null!==(t=null===(e=this._mathfield)||void 0===e?void 0:e.virtualKeyboardState)&&void 0!==t?t:"hidden"}set virtualKeyboardState(e){this._mathfield&&(this._mathfield.virtualKeyboardState=e)}focus(){super.focus()}blur(){var e;null===(e=this._mathfield)||void 0===e||e.blur(),super.blur()}select(){var e;null===(e=this._mathfield)||void 0===e||e.select()}insert(e,t){var a,i;return null!==(i=null===(a=this._mathfield)||void 0===a?void 0:a.insert(e,t))&&void 0!==i&&i}applyStyle(e,t){var a;return null===(a=this._mathfield)||void 0===a?void 0:a.applyStyle(e,t)}get caretPoint(){var e,t;return null!==(t=null===(e=this._mathfield)||void 0===e?void 0:e.getCaretPoint())&&void 0!==t?t:null}set caretPoint(e){var t;e&&(null===(t=this._mathfield)||void 0===t||t.setCaretPoint(e.x,e.y))}setCaretPoint(e,t){var a,i;return null!==(i=null===(a=this._mathfield)||void 0===a?void 0:a.setCaretPoint(e,t))&&void 0!==i&&i}offsetFromPoint(e,t,a){return this._mathfield?an(this._mathfield,e,t,a):-1}hitboxFromOffset(e){if(!this._mathfield)return null;const t=this._mathfield.model.at(e);if(!t)return null;const a=hi(this._mathfield,t);return a?new DOMRect(a.left,a.top,a.right-a.left,a.bottom-a.top):null}resetUndo(){var e;null===(e=this._mathfield)||void 0===e||e.resetUndo()}canUndo(){return!!this._mathfield&&this._mathfield.canUndo()}canRedo(){return!!this._mathfield&&this._mathfield.canRedo()}connectedCallback(){var e,t,a;this.hasAttribute("role")||this.setAttribute("role","textbox"),this.setAttribute("dir","ltr"),this.hasAttribute("aria-label")||this.setAttribute("aria-label","math input field"),this.setAttribute("contenteditable","true"),this.setAttribute("aria-multiline","false"),this.hasAttribute("tabindex")||this.setAttribute("tabindex","0");const i=this.shadowRoot.querySelector("slot:not([name])");try{this._style=i.assignedElements().filter((e=>"style"===e.tagName.toLowerCase())).map((e=>e.textContent)).join("")}catch(e){}if(this._style){const e=document.createElement("style");e.textContent=this._style,this.shadowRoot.appendChild(e)}try{const e=i.assignedElements().filter((e=>"script"===e.tagName.toLowerCase()&&"application/json"===e.type)).map((e=>e.textContent)).join("");e&&this.setOptions(JSON.parse(e))}catch(e){}let o="";if(o=this.hasAttribute("value")?null!==(e=this.getAttribute("value"))&&void 0!==e?e:"":null!==(t=null==i?void 0:i.assignedNodes().map((e=>3===e.nodeType?e.textContent:"")).join("").trim())&&void 0!==t?t:"",this._mathfield=new cn(this.shadowRoot.querySelector(":host > div"),{...yn.has(this)?yn.get(this).options:vn(this),eventSink:this,value:o}),!yn.has(this)){this.upgradeProperty("disabled"),this.upgradeProperty("readonly");for(const e of Object.keys(bn.optionsAttributes))this.upgradeProperty(gn(e))}(null===(a=this._mathfield)||void 0===a?void 0:a.model)?(yn.has(this)&&this._mathfield.model.deferNotifications({content:!1,selection:!1},(()=>{const e=yn.get(this).value;void 0!==e&&this._mathfield.setValue(e),this._mathfield.model.selection=yn.get(this).selection,yn.delete(this)})),i.addEventListener("slotchange",(e=>{if(e.target!==i)return;const t=i.assignedNodes().map((e=>3===e.nodeType?e.textContent:"")).join("").trim();t!==this._slotValue&&(this._mathfield?this._mathfield.setValue(t):this.value=t)})),this.dispatchEvent(new Event("mount",{cancelable:!1,bubbles:!0,composed:!0}))):this._mathfield=null}disconnectedCallback(){if(this.dispatchEvent(new Event("unmount",{cancelable:!1,bubbles:!0,composed:!0})),!this._mathfield)return;const e=ko(this._mathfield.options,Object.keys(bn.optionsAttributes).map((e=>gn(e))));yn.set(this,{value:this._mathfield.getValue(),selection:this._mathfield.model.selection,options:e}),this._mathfield.dispose(),this._mathfield=null}upgradeProperty(e){if(this.hasOwnProperty(e)){const t=this[e];delete this[e],"readonly"!==e&&"read-only"!==e||(e="readOnly"),this[e]=t}}attributeChangedCallback(e,t,a){if(t===a)return;const i=null!==a;switch(e){case"disabled":this.disabled=i;break;case"read-only":case"readonly":this.readOnly=i}}get readonly(){return this.hasAttribute("readonly")||this.hasAttribute("read-only")}set readonly(e){const t=Boolean(e);t?(this.setAttribute("readonly",""),this.setAttribute("disabled",""),this.setAttribute("aria-readonly","true")):(this.removeAttribute("readonly"),this.removeAttribute("read-only"),this.removeAttribute("disabled"),this.removeAttribute("aria-readonly")),this.setOptions({readOnly:t})}get disabled(){return this.hasAttribute("disabled")}set disabled(e){const t=Boolean(e);t?this.setAttribute("disabled",""):this.removeAttribute("disabled"),this.setAttribute("aria-disabled",t?"true":"false"),this.setOptions({readOnly:t})}get value(){return this.getValue()}set value(e){this.setValue(e)}get defaultMode(){return this.getOption("defaultMode")}set defaultMode(e){this.setOptions({defaultMode:e})}get fontsDirectory(){return this.getOption("fontsDirectory")}set fontsDirectory(e){this.setOptions({fontsDirectory:e})}get mathModeSpace(){return this.getOption("mathModeSpace")}set mathModeSpace(e){this.setOptions({mathModeSpace:e})}get inlineShortcutTimeout(){return this.getOption("inlineShortcutTimeout")}set inlineShortcutTimeout(e){this.setOptions({inlineShortcutTimeout:e})}get keypressVibration(){return this.getOption("keypressVibration")}set keypressVibration(e){this.setOptions({keypressVibration:e})}get keypressSound(){return this.getOption("keypressSound")}set keypressSound(e){this.setOptions({keypressSound:e})}get plonkSound(){var e;return null!==(e=this.getOption("plonkSound"))&&void 0!==e?e:null}set plonkSound(e){this.setOptions({plonkSound:e})}get letterShapeStyle(){return this.getOption("letterShapeStyle")}set letterShapeStyle(e){this.setOptions({letterShapeStyle:e})}get locale(){return this.getOption("locale")}set locale(e){this.setOptions({locale:e})}get readOnly(){return this.getOption("readOnly")}set readOnly(e){this.setOptions({readOnly:e})}get removeExtraneousParentheses(){return this.getOption("removeExtraneousParentheses")}set removeExtraneousParentheses(e){this.setOptions({removeExtraneousParentheses:e})}get smartFence(){return this.getOption("smartFence")}set smartFence(e){this.setOptions({smartFence:e})}get smartMode(){return this.getOption("smartMode")}set smartMode(e){this.setOptions({smartMode:e})}get smartSuperscript(){return this.getOption("smartSuperscript")}set smartSuperscript(e){this.setOptions({smartSuperscript:e})}get speechEngine(){return this.getOption("speechEngine")}set speechEngine(e){this.setOptions({speechEngine:e})}get speechEngineRate(){return this.getOption("speechEngineRate")}set speechEngineRate(e){this.setOptions({speechEngineRate:e})}get speechEngineVoice(){return this.getOption("speechEngineVoice")}set speechEngineVoice(e){this.setOptions({speechEngineVoice:e})}get textToSpeechMarkup(){return this.getOption("textToSpeechMarkup")}set textToSpeechMarkup(e){this.setOptions({textToSpeechMarkup:e})}get textToSpeechRules(){return this.getOption("textToSpeechRules")}set textToSpeechRule(e){this.setOptions({textToSpeechRules:e})}get virtualKeyboardLayout(){return this.getOption("virtualKeyboardLayout")}set virtualKeyboardLayout(e){this.setOptions({virtualKeyboardLayout:e})}get virtualKeyboardMode(){return this.getOption("virtualKeyboardMode")}set virtualKeyboardMode(e){this.setOptions({virtualKeyboardMode:e})}get virtualKeyboardTheme(){return this.getOption("virtualKeyboardTheme")}set virtualKeyboardTheme(e){this.setOptions({virtualKeyboardTheme:e})}get virtualKeyboards(){return this.getOption("virtualKeyboards")}set virtualKeyboards(e){this.setOptions({virtualKeyboards:e})}get useSharedVirtualKeyboard(){return this.getOption("useSharedVirtualKeyboard")}set useSharedVirtualKeyboard(e){this.setOptions({useSharedVirtualKeyboard:e})}get sharedVirtualKeyboardTargetOrigin(){return this.getOption("sharedVirtualKeyboardTargetOrigin")}set sharedVirtualKeyboardTargetOrigin(e){this.setOptions({sharedVirtualKeyboardTargetOrigin:e})}get selection(){return this._mathfield?this._mathfield.model.selection:yn.has(this)?yn.get(this).selection:{ranges:[[0,0]],direction:"forward"}}set selection(e){"number"==typeof e&&(e={ranges:[[e,e]]}),this._mathfield?this._mathfield.model.selection=e:yn.has(this)?yn.set(this,{...yn.get(this),selection:e}):yn.set(this,{value:void 0,selection:e,options:vn(this)})}get selectionIsCollapsed(){const e=this.selection;return 1===e.ranges.length&&e.ranges[0][0]===e.ranges[0][1]}get position(){return this._mathfield?this._mathfield.model.position:yn.has(this)?yn.get(this).selection.ranges[0][0]:0}set position(e){this._mathfield&&(this._mathfield.model.position=e),yn.has(this)?yn.set(this,{...yn.get(this),selection:{ranges:[[e,e]]}}):yn.set(this,{value:void 0,selection:{ranges:[[e,e]]},options:vn(this)})}getOffsetDepth(e){var t,a;return this._mathfield&&null!==(a=(null===(t=this._mathfield.model.at(e))||void 0===t?void 0:t.treeDepth)-2)&&void 0!==a?a:0}get lastOffset(){var e,t;return null!==(t=null===(e=this._mathfield)||void 0===e?void 0:e.model.lastOffset)&&void 0!==t?t:-1}}function gn(e){return e.toLowerCase().replace(/[^a-zA-Z\d]+(.)/g,((e,t)=>t.toUpperCase()))}function vn(e){const t={},a=bn.optionsAttributes;return Object.keys(a).forEach((i=>{if(e.hasAttribute(i)){const o=e.getAttribute(i);"boolean"===a[i]?t[gn(i)]=!0:"on/off"===a[i]?t[gn(i)]="on"===o||"off"!==o&&void 0:"number"===a[i]?t[gn(i)]=Number.parseFloat(null!=o?o:"0"):t[gn(i)]=o}else"boolean"===a[i]&&(t[gn(i)]=!1)})),t}function kn(e,t,a){let i=a,o=0;const r=e.length;for(;i<t.length;){const a=t[i];if(o<=0&&t.slice(i,i+r)===e)return i;"\\"===a?i++:"{"===a?o++:"}"===a&&o--,i++}return-1}function xn(e,t,a,i,o="latex"){const r=[];for(const n of e)if("text"===n.type){const e=n.data;let s,l=!0,d=0;s=e.indexOf(t),-1!==s&&(d=s,d>0&&r.push({type:"text",data:e.slice(0,d)}),l=!1);let c=!1;for(;!c;){if(l){if(s=e.indexOf(t,d),-1===s){c=!0;break}d!==s&&r.push({type:"text",data:e.slice(d,s)}),d=s}else{if(s=kn(a,e,d+t.length),-1===s){c=!0;break}let n=e.slice(d+t.length,s);"ascii-math"===o&&([,n]=za(n,{format:"ascii-math"})),r.push({type:"math",data:n,rawData:e.slice(d,s+a.length),mathstyle:i}),d=s+a.length}l=!l}d<e.length&&r.push({type:"text",data:e.slice(d)})}else r.push(n);return r}function wn(e,t,a){let i=[{type:"text",data:e}];return(null==t?void 0:t.inline)&&t.inline.forEach((([e,t])=>{i=xn(i,e,t,"textstyle")})),(null==t?void 0:t.display)&&t.display.forEach((([e,t])=>{i=xn(i,e,t,"displaystyle")})),(null==a?void 0:a.inline)&&a.inline.forEach((([e,t])=>{i=xn(i,e,t,"textstyle","ascii-math")})),(null==a?void 0:a.display)&&a.display.forEach((([e,t])=>{i=xn(i,e,t,"displaystyle","ascii-math")})),i}function _n(e,t,a,o){var r;const n=function(e,t,a,o){i();try{const i=t.renderToMarkup(e,{mathstyle:a,format:"html"}),o=document.createElement("displaystyle"===a?"div":"span");return o.setAttribute("aria-hidden","true"),o.innerHTML=t.createHTML?t.createHTML(i):i,o}catch(t){if(o)return document.createTextNode(e)}return null}(e,a,t||"displaystyle",o),s=null!==(r=a.renderAccessibleContent)&&void 0!==r?r:"";if(n&&/\b(mathml|speakable-text)\b/i.test(s)){i();const t=document.createElement("span");if(/\bmathml\b/i.test(s)&&a.renderToMathML&&t.append(function(e,t){i();const a=document.createElement("span");try{const i="<math xmlns='http://www.w3.org/1998/Math/MathML'>"+t.renderToMathML(e)+"</math>";a.innerHTML=t.createHTML?t.createHTML(i):i}catch(t){a.textContent=e}return a.className="ML__sr-only",a}(e,a)),/\bspeakable-text\b/i.test(s)&&a.renderToSpeakableText){const i=document.createElement("span"),o=a.renderToSpeakableText(e,a);i.innerHTML=a.createHTML?a.createHTML(o):o,i.className="ML__sr-only",t.append(i)}return t.append(n),t}return n}function Sn(e,t){var a,o,r;i();let n=null;if((null===(a=t.TeX)||void 0===a?void 0:a.processEnvironments)&&/^\s*\\begin/.test(e)){n=document.createDocumentFragment();const a=_n(e,"",t,!0);a&&n.appendChild(a)}else{if(!e.trim())return null;const a=wn(e,null===(o=t.TeX)||void 0===o?void 0:o.delimiters,null===(r=t.asciiMath)||void 0===r?void 0:r.delimiters);if(1===a.length&&"text"===a[0].type)return null;n=document.createDocumentFragment();for(const e of a)if("text"===e.type)n.appendChild(document.createTextNode(e.data));else{const a=_n(e.data,"textstyle"===e.mathstyle?"textstyle":"displaystyle",t,!0);a&&n.appendChild(a)}}return n}function Mn(e,t){var a,i,o,r,n,s,l,d,c,u,p,h,m,f,y,b;if(1===e.childNodes.length&&3===e.childNodes[0].nodeType){const n=null!==(a=e.childNodes[0].textContent)&&void 0!==a?a:"";if((null===(i=t.TeX)||void 0===i?void 0:i.processEnvironments)&&/^\s*\\begin/.test(n)){e.textContent="";const a=_n(n,"",t,!0);return void(a&&e.append(a))}const s=wn(n,null===(o=t.TeX)||void 0===o?void 0:o.delimiters,null===(r=t.asciiMath)||void 0===r?void 0:r.delimiters);if(1===s.length&&"math"===s[0].type){e.textContent="";const a=_n(s[0].data,"textstyle"===s[0].mathstyle?"textstyle":"displaystyle",t,!0);return void(a&&e.append(a))}if(1===s.length&&"text"===s[0].type)return}for(let a=e.childNodes.length-1;a>=0;a--){const i=e.childNodes[a];if(3===i.nodeType){const e=Sn(null!==(n=i.textContent)&&void 0!==n?n:"",t);e&&(a+=e.childNodes.length-1,i.replaceWith(e))}else if(1===i.nodeType){const a=i,o=i.nodeName.toLowerCase();if("script"===o){const e=i;let a;if(null===(s=t.processScriptTypePattern)||void 0===s?void 0:s.test(e.type))a=null!==(l=e.textContent)&&void 0!==l?l:"";else if(null===(d=t.processMathJSONScriptTypePattern)||void 0===d?void 0:d.test(e.type))try{a=null===(c=t.serializeToLatex)||void 0===c?void 0:c.call(t,JSON.parse(null!==(u=e.textContent)&&void 0!==u?u:""))}catch(e){}if(a){let i="displaystyle";for(const t of e.type.split(";")){const[e,a]=t.toLowerCase().split("=");"mode"===e.trim()&&(i="display"===a.trim()?"displaystyle":"textstyle")}const o=_n(a,i,t,!0);o&&e.parentNode.replaceChild(o,e)}}else if(null!==(h=null===(p=t.processClassPattern)||void 0===p?void 0:p.test(a.className))&&void 0!==h&&h||!(null!==(f=null===(m=t.skipTags)||void 0===m?void 0:m.includes(o))&&void 0!==f&&f||null!==(b=null===(y=t.ignoreClassPattern)||void 0===y?void 0:y.test(a.className))&&void 0!==b&&b))if(1===e.childNodes.length&&3===e.childNodes[0].nodeType){const a=e.textContent;e.textContent="";const i=_n(null!=a?a:"","displaystyle",t,!0);i&&e.append(i)}else Mn(a,t)}}}a()&&!(null===(un=window.customElements)||void 0===un?void 0:un.get("math-field"))&&(null!==(pn=globalThis[mn=Symbol.for("io.cortexjs.mathlive")])&&void 0!==pn||(globalThis[mn]={}),globalThis[Symbol.for("io.cortexjs.mathlive")].version="0.86.0",window.MathfieldElement=bn,null===(hn=window.customElements)||void 0===hn||hn.define("math-field",bn));const Ln={skipTags:["math-field","noscript","style","textarea","pre","code","annotation","annotation-xml"],processScriptType:"math/tex",processMathJSONScriptType:"math/json",ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",renderAccessibleContent:"mathml",asciiMath:{delimiters:{display:[["`","`"]]}},TeX:{processEnvironments:!0,delimiters:{inline:[["\\(","\\)"]],display:[["$$","$$"],["\\[","\\]"]]}}};function Cn(e,t){var a,i,o,r;try{const n={...Ln,...t};n.ignoreClassPattern=new RegExp(null!==(a=n.ignoreClass)&&void 0!==a?a:""),n.processClassPattern=new RegExp(null!==(i=n.processClass)&&void 0!==i?i:""),n.processScriptTypePattern=new RegExp(null!==(o=n.processScriptType)&&void 0!==o?o:""),n.processMathJSONScriptTypePattern=new RegExp(null!==(r=n.processMathJSONScriptType)&&void 0!==r?r:""),null!==n.fontsDirectory&&Do(n.fontsDirectory),Li(null,Vi,Mi(Vi).toString(36)),Mn(e,n)}catch(e){Error}}function An(e,t="math"){const a=fa(),i=new dt("root",a);return i.body=Ft(e,a,{parseMode:t}),$o(i)}function Tn(e){return za(e,{format:"ascii-math"})[1]}const Dn={latexToAsciiMath:An,asciiMathToLatex:Tn,FUNCTIONS:_,MATH_SYMBOLS:x,TEXT_SYMBOLS:L,ENVIRONMENTS:S,DEFAULT_KEYBINDINGS:qi,getKeybindingMarkup:Fi},zn=1200,Bn=3e3,Kn=4e3;function En(e,t,a=3e3,i="$0"){for(const o of t)x[o]&&(x[o].frequency=a,x[o].category=e,x[o].template=i.replace(/\$0/g,o)),_[o]&&(_[o]={..._[o],frequency:a,category:e,template:i.replace(/\$0/g,o)})}function qn(){var e,t;return null!==(e=globalThis[t=Symbol.for("io.cortexjs.mathlive")])&&void 0!==e||(globalThis[t]={}),globalThis[Symbol.for("io.cortexjs.mathlive")]}function $n(e,t){var a;(t=null!=t?t:{}).mathstyle=null!==(a=t.mathstyle)&&void 0!==a?a:"displaystyle";const i=fa(),o=new dt("root",i);o.body=Ft(e,i,{parseMode:"math",mathstyle:t.mathstyle});const r=o.render(new Ae({registers:i.registers,renderPlaceholder:()=>new Ne(160,{maxFontSize:1})},{fontSize:5,letterShapeStyle:i.letterShapeStyle},t.mathstyle));return r?(Ve(r),Pe(r),He(r,{classes:"ML__mathlive"}).toMarkup()):""}function On(e,t={}){return Xa(Ft(e,fa(),{parseMode:"math",args:()=>"",mathstyle:"displaystyle"}),t)}function Nn(e,t={}){return ii(Ft(e,fa(),{parseMode:"math",mathstyle:"displaystyle"}),t)}let Fn;function Pn(e){var t,a;if(!Fn){const e=null===(t=globalThis[Symbol.for("io.cortexjs.compute-engine")])||void 0===t?void 0:t.ComputeEngine;e&&(Fn=new e)}return null!==(a=null==Fn?void 0:Fn.box(e).latex)&&void 0!==a?a:""}function Rn(e,t){var i,o,r,n;const s=function(e){if("string"==typeof e&&a()){const t=document.getElementById(e);if(null===t)throw new Error(`The element with ID "${e}" could not be found.`);return t}return"string"==typeof e?null:e}(e);if(!s)return;const l=null!=t?t:{};null!==(i=l.renderToMarkup)&&void 0!==i||(l.renderToMarkup=$n),null!==(o=l.renderToMathML)&&void 0!==o||(l.renderToMathML=On),null!==(r=l.renderToSpeakableText)&&void 0!==r||(l.renderToSpeakableText=Nn),null!==(n=l.serializeToLatex)&&void 0!==n||(l.serializeToLatex=Pn),Cn(s,l)}En("Trigonometry",["\\cos","\\sin","\\tan"],Kn),En("Trigonometry",["\\arccos","\\arcsin","\\arctan","\\arctg","\\arcctg","\\arcsec","\\arccsc","\\arsinh","\\arcosh","\\artanh","\\arcsech","\\arccsch","\\arg","\\ch","\\cosec","\\cosh","\\cot","\\cotg","\\coth","\\csc","\\ctg","\\cth","\\lg","\\lb","\\sec","\\sinh","\\sh","\\tanh","\\tg","\\th"],2e3),En("Functions",["\\ln","\\log","\\exp","\\lim"],Kn),En("Functions",["\\dim","\\ker","\\deg","\\det","\\mod","\\min","\\max"],Bn),En("Functions",["\\hom"],zn),En("Decoration",["\\rule"],200,"$0{2em}{1em}"),En("Decoration",["\\color","\\textcolor"],200,"{$0{m0}A}{$0{m1}B}{$0{m2}C }{$0{m3}a}{$0{m4}b}{$0{m5}c}{$0{m6}8}"),En("Decoration",["\\overline","\\underline"],Bn,"$0{\\placeholder{}}"),En("Decoration",["\\enclose"],zn,'\\enclose{updiagonalstrike,roundedbox}[1px solid red, mathbackground="#fbc0bd"]{x=0}'),En("Decoration",["\\fcolorbox"],zn,'\\fcolorbox{#cd0030}{#ffd400}{\\unicode{"2B1A}}'),En("Decoration",["\\colorbox"],zn,'\\colorbox{#fbc0bd}{\\unicode{"2B1A}}'),En("Decoration",["\\boxed","\\cancel","\\bcancel","\\xcancel"],zn,"$0{\\placeholder{}}"),En("Decoration",["\\bbox"],zn,'\\bbox[#ffd400, solid 2px #ffd400]{\\unicode{"2B1A}}'),En("Styling",["\\mathbb"],Kn,"$0{Don Knuth}"),En("Styling",["\\textbf","\\textup","\\textit","\\textrm","\\textsf","\\texttt","\\textnormal","\\textmd","\\textsl","\\textsc","\\mathsf","\\mathtt","\\mathrm","\\mathfrak","\\mathcal","\\mathscr","\\mathbf","\\mathmd","\\mathit","\\text","\\mbox","\\Bbb","\\bold","\\bm","\\boldsymbol"],Bn,"$0{Don Knuth}"),En("Styling",["\\frak","\\tt","\\bf","\\it","\\rmfamily","\\sffamily","\\ttfamily","\\class","\\cssId","\\htmlData","\\htmlStyle"],zn,"{$0 Don Knuth}"),En("Styling",["\\bfseries","\\mdseries","\\upshape","\\slshape","\\scshape"],zn,"\\text{$0 Don Knuth}"),En("Styling",["\\class","\\cssId"],zn,"$0{testIdentifier}{Don Knuth}"),En("Styling",["\\fontseries"],zn,"\\text{$0{b}Don Knuth}"),En("Styling",["\\fontfamily"],zn,"\\text{$0{cmtt}Don Knuth}"),En("Styling",["\\fontshape"],zn,"\\text{$0{sc}Don Knuth}"),En("Styling",["\\selectfont"],zn,"\\text{$0}"),En("Styling",["\\emph"],zn,"Don$0{Knuth}"),En("Styling",["\\em"],zn,"Don{$0 Knuth}"),En("Layout",["\\mathop","\\mathbin","\\mathrel","\\mathopen","\\mathclose","\\mathpunct","\\mathord","\\mathinner","\\operatorname","\\operatorname*"],zn,"x=$0{arg}=0"),En("Layout",["\\middle"],zn,"\\left\\{x$0|x>0\\right\\}"),En("Layout",["\\overset","\\underset","\\stackrel","\\stackbin"],zn,"$0{arg}{x=0}"),En("Layout",["\\rlap","\\mathrlap"],zn,"$0{/}0"),En("Layout",["\\llap","\\mathllap"],zn,"o$0{/}"),En("Fractions",["\\frac"],Kn,"$0{\\placeholder{}}{\\placeholder{}}"),En("Fractions",["\\binom","\\dfrac","\\tfrac","\\dbinom","\\tbinom","\\pdiff","\\cfrac"],zn,"$0{\\placeholder{}}{\\placeholder{}}"),En("Fractions",["\\over","\\atop","\\choose"],zn,'\\unicode{"2B1A} $0 \\unicode{"2B1A}'),En("Fractions",["\\overwithdelims","\\atopwithdelims"],zn,'{\\unicode{"2B1A} $0{\\lbrace}{\\rbrace} \\unicode{"2B1A}}'),En("Extensible Operators",["\\sum","\\prod","\\bigcap","\\bigcup","\\int"],Kn),En("Extensible Operators",["\\bigoplus","\\smallint","\\iint","\\oint"],Bn),En("Extensible Operators",["\\bigwedge","\\bigvee","\\coprod","\\bigsqcup","\\bigotimes","\\bigodot","\\biguplus","\\intop","\\sqcup","\\sqcap","\\uplus","\\wr","\\Cap","\\Cup","\\doublecap","\\doublecup","\\amalg","\\iiint","\\oiint","\\oiiint","\\intclockwise","\\varointclockwise","\\ointctrclockwise","\\intctrclockwise"],zn),En("Accents",["\\vec"],Kn),En("Accents",["\\bar","\\ddot","\\acute","\\tilde","\\check"],Bn,"$0{\\placeholder{}}"),En("Accents",["\\^","\\`","\\'"],zn,"$0{e}"),En("Accents",["\\c"],zn,"$0{c}"),En("Accents",["\\~"],zn,"$0{n}"),En("Accents",["\\mathring","\\hat","\\dot","\\breve","\\grave"],zn,"$0{\\placeholder{}}"),En("Extensible Symbols",["\\overrightarrow","\\overleftarrow","\\Overrightarrow","\\overleftharpoon","\\overrightharpoon","\\overleftrightarrow","\\overbrace","\\overlinesegment","\\overgroup","\\widehat","\\widecheck","\\widetilde"],Bn,"$0{ABC}"),En("Extensible Symbols",["\\underrightarrow","\\underleftarrow","\\underleftrightarrow","\\underbrace","\\underlinesegment","\\undergroup","\\utilde"],Bn,"$0{ABC}"),En("Sizing",["\\tiny","\\scriptsize","\\footnotesize","\\small","\\normalsize","\\large","\\Large","\\LARGE","\\huge","\\Huge"],zn,"$0{x=0}"),En("Sizing",["\\big","\\Big","\\bigg","\\Bigg"],zn,"$0($0)"),En("Sizing",["\\bigl","\\Bigl","\\biggl","\\Biggl"],zn,"$0("),En("Sizing",["\\bigr","\\Bigr","\\biggr","\\Biggr"],zn,"$0)"),En("Sizing",["\\bigm","\\Bigm","\\biggm","\\Biggm"],zn,"$0|"),En("Letterlike Symbols",["\\nabla","\\partial","\\N","\\R","\\Q","\\C","\\Z","\\exponentialE","\\forall","\\exists","\\nexists"],Kn),En("Letterlike Symbols",["\\doubleStruckCapitalP","\\P","\\ell","\\hbar","\\hslash","\\imath","\\jmath","\\imaginaryI","\\imaginaryJ","\\differentialD","\\rd","\\capitalDifferentialD","\\doubleStruckCapitalN","\\doubleStruckCapitalR","\\doubleStruckCapitalQ","\\doubleStruckCapitalC","\\doubleStruckCapitalZ","\\rD","\\differencedelta","\\mid","@","\\Re","\\Im","\\$","\\%","\\And","\\degree"],Bn),En("Letterlike Symbols",["\\top","\\bot","\\scriptCapitalE","\\scriptCapitalH","\\scriptCapitalL","\\gothicCapitalC","\\gothicCapitalH","\\gothicCapitalI","\\gothicCapitalR","\\Bbbk","\\Finv","\\Game","\\wp","\\eth","\\mho","\\pounds","\\yen","\\euro"],zn),En("Crosses",["\\dagger","\\dag"],Kn),En("Crosses",["\\ddag","\\ddagger","\\maltese","\\textdagger","\\textdaggerdbl"],zn),En("Various",["\\checkmark","\\diagup","\\diagdown","\\angle","\\measuredangle","\\sphericalangle","\\prime","\\doubleprime","\\backprime","\\backdoubleprime","\\sharp","\\flat","\\natural","\\&","\\#","\\clubsuit","\\spadesuit","\\diamondsuit","\\heartsuit","\\backslash","\\infty","/","\\_","\\/","|","'"],zn),En("Various",["\\unicode"],zn,'$0{"2B1A}'),En("Arrows",["\\longrightarrow","\\rightarrow","\\Longrightarrow","\\Rightarrow"],Kn),En("Arrows",["\\longmapsto","\\mapsto","\\Longleftrightarrow","\\rightleftarrows","\\leftarrow","\\curvearrowleft","\\uparrow","\\downarrow","\\hookrightarrow","\\rightharpoonup","\\rightleftharpoons"],Bn),En("Arrows",["\\Leftarrow","\\longleftrightarrow","\\longleftarrow","\\Longleftarrow","\\searrow","\\nearrow","\\swarrow","\\nwarrow","\\Uparrow","\\Downarrow","\\updownarrow","\\Updownarrow","\\hookleftarrow","\\leftharpoonup","\\leftharpoondown","\\rightharpoondown","\\leftrightarrows","\\dashrightarrow","\\dashleftarrow","\\leftleftarrows","\\Lleftarrow","\\twoheadleftarrow","\\leftarrowtail","\\looparrowleft","\\leftrightharpoons","\\circlearrowleft","\\Lsh","\\upuparrows","\\downharpoonleft","\\multimap","\\leftrightsquigarrow","\\twoheadrightarrow","\\rightarrowtail","\\looparrowright","\\curvearrowright","\\circlearrowright","\\Rsh","\\downdownarrows","\\upharpoonright","\\downharpoonright","\\rightsquigarrow","\\leadsto","\\Rrightarrow","\\restriction"],zn),En("Arrows",["\\upharpoonleft","\\rightrightarrows"],0),En("Negated Arrows",["\\nrightarrow","\\nRightarrow","\\nleftrightarrow","\\nLeftrightarrow","\\nleftarrow","\\nLeftarrow"],zn),En("Extensible Symbols",["\\xrightarrow","\\xleftarrow","\\xRightarrow","\\xLeftarrow","\\xleftharpoonup","\\xleftharpoondown","\\xrightharpoonup","\\xrightharpoondown","\\xlongequal","\\xtwoheadleftarrow","\\xtwoheadrightarrow","\\xleftrightarrow","\\xLeftrightarrow","\\xrightleftharpoons","\\xleftrightharpoons","\\xhookleftarrow","\\xhookrightarrow","\\xmapsto","\\xtofrom","\\xrightleftarrows","\\xrightequilibrium","\\xleftequilibrium"],zn,"$0[below]{above}=0"),En("Negated Relations",["\\nless","\\nleqslant","\\lneq","\\lneqq","\\nleqq","\\unlhd","\\unrhd","\\lvertneqq","\\lnsim","\\lnapprox","\\nprec","\\npreceq","\\precnsim","\\precnapprox","\\nsim","\\nshortmid","\\nmid","\\nvdash","\\nvDash","\\ngtr","\\ngeqslant","\\ngeqq","\\gneq","\\gneqq","\\gvertneqq","\\gnsim","\\nsucc","\\succnsim","\\ncong","\\nshortparallel","\\nparallel","\\nVDash","\\nVdash","\\precneqq","\\succneqq","\\gnapprox","\\succnapprox","\\nsucceq"],zn),En("Hebrew",["\\aleph","\\beth","\\daleth","\\gimel"],zn),En("Fences",["\\lbrace","\\rbrace","\\vert","\\Vert","\\{","\\}","(",")","[","]"],Kn),En("Fences",["\\langle","\\rangle","\\lfloor","\\rfloor","\\lceil","\\rceil","\\mvert","\\|","\\mVert"],Bn),En("Fences",["\\lvert","\\rvert","\\lVert","\\rVert","\\lbrack","\\rbrack","\\ulcorner","\\urcorner","\\llcorner","\\lrcorner","\\lgroup","\\rgroup","\\lmoustache","\\rmoustache"],zn),En("Relations",["=","\\ne","\\neq","<",">","\\leqslant","\\geqslant","\\approx"],Kn),En("Relations",["\\lt","\\gt","\\le","\\ge","\\leq","\\geq","\\gg","\\cong","\\equiv","\\prec","\\preceq","\\succ","\\perp","\\parallel","\\propto","\\smile","\\frown","\\sim","\\gtrsim"],Bn),En("Relations",["\\coloneq","\\succeq","\\approxeq","\\thickapprox","\\lessapprox","\\gtrapprox","\\precapprox","\\succapprox","\\thicksim","\\succsim","\\precsim","\\backsim","\\eqsim","\\backsimeq","\\simeq","\\lesssim","\\nleq","\\ngeq","\\smallsmile","\\smallfrown","\\bowtie","\\asymp","\\leqq","\\eqslantless","\\ll","\\lll","\\lessgtr","\\lesseqgtr","\\lesseqqgtr","\\risingdotseq","\\fallingdotseq","\\preccurlyeq","\\curlyeqprec","\\vDash","\\Vvdash","\\bumpeq","\\Bumpeq","\\geqq","\\eqslantgtr","\\ggg","\\gtrless","\\gtreqless","\\gtreqqless","\\succcurlyeq","\\curlyeqsucc","\\Vdash","\\shortmid","\\shortparallel","\\between","\\pitchfork","\\varpropto","\\backepsilon","\\llless","\\gggtr","\\lhd","\\rhd","\\Join","\\doteq","\\doteqdot","\\Doteq","\\eqcirc","\\circeq","\\lessdot","\\gtrdot","\\measeq","\\eqdef","\\questeq"],zn),En("Logic",["\\leftrightarrow","\\Leftrightarrow","\\to"],Kn),En("Logic",["\\models","\\vdash"],Bn),En("Logic",["\\therefore","\\because","\\implies","\\gets","\\dashv","\\impliedby","\\biconditional","\\roundimplies"],zn),En("Operators",["+","-","*","\\cdot"],Kn),En("Operators",["\\sqrt"],Kn,"$0{\\placeholder{}}"),En("Operators",["\\pm","\\mp","\\times","\\div","\\surd"],Bn),En("Operators",["\\ltimes","\\rtimes","\\leftthreetimes","\\rightthreetimes","\\intercal","\\dotplus","\\centerdot","\\doublebarwedge","\\divideontimes","\\divides"],zn),En("Logic",["\\wedge","\\vee","\\neg"],Kn),En("Logic",["\\lnot"],Bn),En("Logic",["\\land","\\lor","\\barwedge","\\veebar","\\nor","\\curlywedge","\\curlyvee"],zn),En("Greek",["\\alpha","\\beta","\\gamma","\\delta","\\epsilon","\\varepsilon","\\zeta","\\eta","\\theta","\\vartheta","\\iota","\\kappa","\\varkappa","\\lambda","\\mu","\\nu","\\xi","\\pi","\\varpi","\\rho","\\varrho","\\sigma","\\varsigma","\\tau","\\phi","\\varphi","\\upsilon","\\chi","\\psi","\\omega","\\Gamma","\\Delta","\\Theta","\\Lambda","\\Xi","\\Pi","\\Sigma","\\Upsilon","\\Phi","\\Psi","\\Omega","\\digamma","\\omicron"],Bn),En("Sets",["\\emptyset","\\varnothing","\\cap","\\cup","\\in","\\notin","\\subset","\\supset","\\subseteq","\\supseteq","\\sqsubseteq"],Kn),En("Sets",["\\setminus","\\not","\\ni","\\sqsupseteq","\\nsupseteqq","\\supsetneq","\\varsupsetneq","\\supsetneqq","\\varsupsetneqq"],Bn),En("Sets",["\\smallsetminus","\\complement","\\owns","\\subsetneq","\\varsubsetneq","\\subsetneqq","\\varsubsetneqq","\\nsubset","\\nsupset","\\nsubseteq","\\nsupseteq","\\nsubseteqq","\\subseteqq","\\Subset","\\sqsubset","\\supseteqq","\\Supset","\\sqsupset"],zn),En("Spacing",["\\space","\\quad","\\qquad"],Bn,'\\unicode{"203A}$0\\unicode{"2039}'),En("Spacing",["\\!","\\,","\\:","\\;","\\enskip","\\enspace"],zn,'\\unicode{"203A}$0\\unicode{"2039}'),En("Spacing",["\\hspace","\\hspace*"],zn,'\\unicode{"203A}$0{1em}\\unicode{"2039}'),En("Punctuation",["\\colon","\\cdotp","\\ldots","\\cdots","\\ddots","\\vdots","?","!",":",'"',",",".",";"],Bn),En("Punctuation",["\\mathellipsis","\\ldotp","\\Colon"],zn),En("Boxes",["\\square","\\Box"],Bn),En("Boxes",["\\blacksquare","\\boxminus","\\boxplus","\\boxtimes","\\boxdot"],zn),En("Circles",["\\circ","\\bullet","\\circleddash","\\oplus","\\otimes"],Bn),En("Circles",["\\bigcirc","\\circledast","\\ominus","\\circledcirc","\\oslash","\\circledS","\\circledR","\\odot"],zn),En("Triangles",["\\triangle","\\triangleq"],Bn),En("Triangles",["\\bigtriangleup","\\vartriangle","\\triangledown","\\bigtriangledown","\\triangleleft","\\vartriangleleft","\\trianglelefteq","\\ntriangleleft","\\ntrianglelefteq","\\triangleright","\\vartriangleright","\\trianglerighteq","\\ntriangleright","\\ntrianglerighteq","\\blacktriangle","\\blacktriangledown","\\blacktriangleleft","\\blacktriangleright"],zn),En("Shapes",["\\ast","\\star"],Bn),En("Shapes",["\\diamond","\\Diamond","\\lozenge","\\blacklozenge","\\bigstar"],zn);const In={latexToAsciiMath:An,asciiMathToLatex:Tn,FUNCTIONS:Dn.FUNCTIONS,MATH_SYMBOLS:Dn.MATH_SYMBOLS,TEXT_SYMBOLS:Dn.TEXT_SYMBOLS,ENVIRONMENTS:Dn.ENVIRONMENTS,DEFAULT_KEYBINDINGS:Dn.DEFAULT_KEYBINDINGS,getKeybindingMarkup:Dn.getKeybindingMarkup};e.MathfieldElement=bn,e.autoRenderMathInElement=Cn,e.convertLatexToMarkup=$n,e.convertLatexToMathMl=On,e.convertLatexToSpeakableText=Nn,e.debug=In,e.globalMathLive=qn,e.makeSharedVirtualKeyboard=function(e){return qn().sharedVirtualKeyboard||([...document.querySelectorAll("math-field")].some((e=>e.isConnected&&e._mathfield&&e._mathfield._virtualKeyboard)),qn().sharedVirtualKeyboard=new nn(e)),qn().sharedVirtualKeyboard},e.renderMathInDocument=function(e){i(),Rn(document.body,e)},e.renderMathInElement=Rn,e.serializeMathJsonToLatex=Pn,e.validateLatex=function(e){return Pt(e,fa())},e.version={mathlive:"0.86.0"},Object.defineProperty(e,"__esModule",{value:!0})},"object"==typeof exports&&"undefined"!=typeof module?factory(exports):"function"==typeof define&&define.amd?define(["exports"],factory):factory((global="undefined"!=typeof globalThis?globalThis:global||self).MathLive={});