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{"version":3,"file":"2G24-4-RbvRy8Ol.js","sources":["../../src/exercices/2e/2G24-4.js"],"sourcesContent":["import { choice } from '../../lib/outils/arrayOutils'\nimport { texFractionReduite } from '../../lib/outils/deprecatedFractions.js'\nimport { ecritureAlgebrique, ecritureParentheseSiNegatif } from '../../lib/outils/ecritures'\nimport { ajouteChampTexteMathLive } from '../../lib/interactif/questionMathLive.js'\nimport Exercice from '../deprecatedExercice.js'\nimport { signe } from '../../lib/outils/nombres'\n\nimport { gestionnaireFormulaireTexte, listeQuestionsToContenu, randint } from '../../modules/outils.js'\nimport FractionEtendue from '../../modules/FractionEtendue.js'\nimport { setReponse } from '../../lib/interactif/gestionInteractif.js'\n\nexport const interactifReady = true\nexport const interactifType = 'mathLive'\nexport const titre = 'Calculate the coordinates of the product of a vector by a real number'\nexport const dateDePublication = '28/05/2023'\nexport const dateDeModifImportante = '14/06/2023'\n\n/**\n * Produit d'un vecteur par un réel\n * @author Stéphan Grignon & Jean-Claude Lhote\n */\nexport const uuid = '68693'\nexport const ref = '2G24-4'\nexport default function Calculercoordonneesproduitvecteurs () {\n Exercice.call(this) // Héritage de la classe Exercice()\n this.titre = titre\n this.nbQuestions = 2\n this.nbCols = 1\n this.nbColsCorr = 1\n this.sup = '1'\n this.correctionDetaillee = false\n this.correctionDetailleeDisponible = true\n this.nouvelleVersion = function () {\n this.listeQuestions = [] // Liste de questions\n this.listeCorrections = [] // Liste de questions corrigées\n const listeTypeDeQuestions = gestionnaireFormulaireTexte({\n saisie: this.sup,\n min: 1,\n max: 3,\n defaut: 1,\n melange: 4,\n nbQuestions: this.nbQuestions,\n listeOfCase: ['t1', 't2', 't3']\n })\n for (let i = 0, wx, wy, texte, texteCorr, cpt = 0; i < this.nbQuestions && cpt < 50;) {\n switch (listeTypeDeQuestions[i]) {\n case 't1': { // On donne 2 vecteurs à coordonnées entières & k entier\n let uy, vy\n const ux = randint(-9, 9)\n if (ux === 0) {\n uy = randint(-9, 9, [0])\n } else {\n uy = randint(-9, 9)\n } // Premier vecteur jamais nul\n const vx = randint(-9, 9)\n if (vx === 0) {\n vy = randint(-9, 9, [0])\n } else {\n vy = randint(-9, 9)\n } // Second vecteur jamais nul\n const k = randint(-9, 9, [-1, 0, 1])\n // wx and wy are integer just like in 't3' but we standardize the response for the interactive with 't2'\n wx = new FractionEtendue(ux + k * vx, 1)\n wy = new FractionEtendue(uy + k * vy, 1)\n\n texte = `In an orthonormal coordinate system $(O,\\\\vec\\\\imath,\\\\vec\\\\jmath)$, we give the following vectors: $\\\\vec{u}\\\\begin{pmatrix}${ux}\\\\\\\\${uy}\\\\end{pmatrix}$ and $\\\\vec{v}\\\\begin{pmatrix}${vx}\\\\\\\\${vy}\\\\end{pmatrix}$.<br>`\n texte += `Determine the coordinates of the vector $\\\\overrightarrow{w}=\\\\overrightarrow{u}${ecritureAlgebrique(k)}\\\\overrightarrow{v}$. `\n\n texteCorr = `$\\\\overrightarrow{w}\\\\begin{pmatrix}${ux}${ecritureAlgebrique(k)}\\\\times${ecritureParentheseSiNegatif(vx)}\\\\\\\\${uy}${ecritureAlgebrique(k)}\\\\times${ecritureParentheseSiNegatif(vy)}\\\\end{pmatrix}$ i.e. $\\\\overrightarrow{w}\\\\begin{pmatrix}${wx}\\\\\\\\${wy}\\\\end{pmatrix}$.<br>`\n if (this.correctionDetaillee) {\n texteCorr = 'Let $k$ be a real number and let $\\\\vec{u}\\\\begin{pmatrix}x\\\\\\\\y\\\\end{pmatrix}$ and $\\\\vec{v}\\\\begin{pmatrix}x \\'\\\\\\\\y\\'\\\\end{pmatrix}$ two vectors in a frame $(O,\\\\vec\\\\imath,\\\\vec\\\\jmath)$.<br><br>'\n texteCorr += 'We know from the course that $k\\\\overrightarrow{v}\\\\begin{pmatrix}k\\\\times x\\'\\\\\\\\k\\\\times y\\'\\\\end{pmatrix}$ and that $\\\\overrightarrow{u}+\\\\overrightarrow{v}\\\\begin{pmatrix}x+x\\'\\\\\\\\y+y\\'\\\\end{pmatrix}$.<br><br>'\n texteCorr += 'Applied to statement data:<br><br>'\n texteCorr += `$${k}\\\\overrightarrow{v}\\\\begin{pmatrix}${k}\\\\times${ecritureParentheseSiNegatif(vx)}\\\\\\${k}\\\\times${ecritureParentheseSiNegatif(vy)}\\\\end{pmatrix}$ i.e. $${k}\\\\overrightarrow{v}\\\\begin{pmatrix}${k * vx}\\\\\\\\${k * vy}\\\\end{pmatrix}$.<br><br>`\n texteCorr += `$\\\\overrightarrow{u}${ecritureAlgebrique(k)}\\\\overrightarrow{v}\\\\begin{pmatrix}${ux}+${ecritureParentheseSiNegatif(k * vx)}\\\\\\\\${uy}+${ecritureParentheseSiNegatif(k * vy)}\\\\end{pmatrix}$.<br><br>`\n texteCorr += `Which ultimately gives: $\\\\overrightarrow{w}\\\\begin{pmatrix}${wx}\\\\\\\\${wy}\\\\end{pmatrix}$.<br>`\n }\n }\n break\n\n case 't2': { // On donne 1/2 vecteur à coordonnées fractionnaires & k fraction\n const listeFractions1 = [[1, 2], [3, 2], [5, 2], [1, 3], [2, 3], [4, 3], [5, 3], [1, 4],\n [3, 4], [5, 4], [1, 5], [2, 5], [3, 5], [4, 5], [1, 6], [5, 6]]\n // u vector with integer coordinates\n const ux = randint(-9, 9, [0])\n const uy = randint(-9, 9, [0])\n const frac1 = choice(listeFractions1)\n const k = new FractionEtendue(frac1[0], frac1[1])\n const a = choice([-1, 1])\n const frac2 = choice(listeFractions1)\n const vx = new FractionEtendue(frac2[0], frac2[1])\n const vy = new FractionEtendue(randint(-9, 9, [0]), 1)\n wx = vx.produitFraction(k.multiplieEntier(a)).ajouteEntier(ux).simplifie()\n wy = vy.produitFraction(k.multiplieEntier(a)).ajouteEntier(uy).simplifie()\n\n texte = `In an orthonormal coordinate system $(O,\\\\vec\\\\imath,\\\\vec\\\\jmath)$, we give the following vectors: $\\\\vec{u}\\\\begin{pmatrix}${ux}\\\\\\\\[0.7 em]${uy}\\\\end{pmatrix}$ and $\\\\vec{v}\\\\begin{pmatrix}${vx.texFraction}\\\\\\\\[0.7em]${vy}\\\\end{pmatrix}$.<br>`\n texte += `Determine the coordinates of the vector $\\\\overrightarrow{w}=\\\\overrightarrow{u}${signe(a)}${k.texFraction}\\\\overrightarrow{v}$. `\n\n texteCorr = `$\\\\overrightarrow{w}\\\\begin{pmatrix}${ux}${signe(a)}${k.texFraction}\\\\times${vx.texFraction}\\\\\\\\[0.7em]${uy}${signe(a)}${k.texFraction}\\\\times${vy.texFSP}\\\\end{pmatrix}$ i.e. $\\\\overrightarrow{w}\\\\begin{pmatrix} ${wx.texFraction}\\\\\\\\[0.7em]${wy.texFraction}\\\\end{pmatrix}$. `\n if (this.correctionDetaillee) {\n texteCorr = 'Let $k$ be a real number and let $\\\\vec{u}\\\\begin{pmatrix}x\\\\\\\\y\\\\end{pmatrix}$ and $\\\\vec{v}\\\\begin{pmatrix}x \\'\\\\\\\\y\\'\\\\end{pmatrix}$ two vectors in a frame $(O,\\\\vec\\\\imath,\\\\vec\\\\jmath)$.<br><br>'\n texteCorr += 'We know from the course that $k\\\\overrightarrow{v}\\\\begin{pmatrix}k\\\\times x\\'\\\\\\\\k\\\\times y\\'\\\\end{pmatrix}$ and that $\\\\overrightarrow{u}+\\\\overrightarrow{v}\\\\begin{pmatrix}x+x\\'\\\\\\\\y+y\\'\\\\end{pmatrix}$.<br><br>'\n texteCorr += 'Applied to statement data:<br><br>'\n texteCorr += `$${texFractionReduite(frac1[0] * a, frac1[1])}\\\\overrightarrow{v}\\\\begin{pmatrix}${texFractionReduite(frac1[0] * a, frac1[1])}\\\\times${vx.texFraction}\\\\\\\\[0.7em]${texFractionReduite(frac1[0] * a, frac1[1])}\\\\times${ecritureParentheseSiNegatif(vy)}\\\\end{pmatrix}$ i.e. $${texFractionReduite(frac1[0] * a, frac1[1])}\\\\overrightarrow{v}\\\\begin{ pmatrix}${texFractionReduite(a * frac1[0] * frac2[0], frac1[1] * frac2[1])}\\\\\\\\[0.7em]${texFractionReduite(a * frac1[0] * vy, frac1[1])}\\\\end{pmatrix}$.<br><br>`\n if (a < 0 && vy > 0) {\n texteCorr += `$\\\\overrightarrow{u}${signe(a)}${k.texFraction}\\\\overrightarrow{v}\\\\begin{pmatrix}${ux}+\\\\left(${texFractionReduite(a * frac1[0] * frac2[0], frac1[1] * frac2[1])}\\\\right)\\\\\\\\[0.7em]${uy}+\\\\left(${texFractionReduite(a * frac1[0] * vy, frac1[1])}\\\\right)\\\\ end{pmatrix}$.<br><br>`\n }\n if (a > 0 && vy > 0) {\n texteCorr += `$\\\\overrightarrow{u}${signe(a)}${k.texFraction}\\\\overrightarrow{v}\\\\begin{pmatrix}${ux}+${texFractionReduite(a * frac1[0] * frac2[0], frac1[1] * frac2[1])}\\\\\\\\[0.7em]${uy}+${texFractionReduite(a * frac1[0] * vy, frac1[1])}\\\\end{pmatrix}$.<br><br>`\n }\n if (a < 0 && vy < 0) {\n texteCorr += `$\\\\overrightarrow{u}${signe(a)}${k.texFraction}\\\\overrightarrow{v}\\\\begin{pmatrix}${ux}+\\\\left(${texFractionReduite(a * frac1[0] * frac2[0], frac1[1] * frac2[1])}\\\\right)\\\\\\\\[0.7em]${uy}+${texFractionReduite(a * frac1[0] * vy, frac1[1])}\\\\end{pmatrix}$.<br><br>`\n }\n if (a > 0 && vy < 0) {\n texteCorr += `$\\\\overrightarrow{u}${signe(a)}${k.texFraction}\\\\overrightarrow{v}\\\\begin{pmatrix}${ux}+${texFractionReduite(a * frac1[0] * frac2[0], frac1[1] * frac2[1])}\\\\\\\\[0.7em]${uy}+\\\\left(${texFractionReduite(a * frac1[0] * vy, frac1[1])}\\\\right)\\\\end{pmatrix}$.<br><br>`\n }\n texteCorr += `Which ultimately gives: $\\\\overrightarrow{w}\\\\begin{pmatrix}${wx.texFraction}\\\\\\\\[0.7em]${wy.texFraction}\\\\end{pmatrix}$.<br>`\n }\n }\n break\n\n case 't3': { // On donne 4 points à coordonnées entières & k entier\n const xA = randint(-9, 9)\n const yA = randint(-9, 9, xA)\n const xB = randint(-9, 9, xA)\n const yB = randint(-9, 9, [yA, xB])\n const xC = randint(-9, 9)\n const yC = randint(-9, 9, xC)\n const xD = randint(-9, 9, xC)\n const yD = randint(-9, 9, [yC, xD])\n const k = randint(-9, 9, [-1, 0, 1])\n wx = new FractionEtendue((xB - xA) + k * (xD - xC), 1)\n wy = new FractionEtendue((yB - yA) + k * (yD - yC), 1)\n\n texte = `In an orthonormal coordinate system $(O,\\\\vec\\\\imath,\\\\vec\\\\jmath)$, we give the following points: $A\\\\left(${xA},${yA}\\\\right)$, $B\\\\left (${xB},${yB}\\\\right)$, $C\\\\left(${xC},${yC}\\\\right)$ and $D\\\\left(${xD},${yD}\\\\right)$.<br>`\n texte += `Determine the coordinates of the vector $\\\\overrightarrow{w}=\\\\overrightarrow{AB}${ecritureAlgebrique(k)}\\\\overrightarrow{CD}$. `\n\n if (this.correctionDetaillee) {\n texteCorr = 'We know from the course that if $A(x_A,y_A)$ and $B(x_B,y_B)$ are two points of a benchmark, then we have $\\\\overrightarrow{AB}\\\\begin{ pmatrix}x_B-x_A\\\\\\\\y_B-y_A\\\\end{pmatrix}$.<br>'\n texteCorr += 'We apply here to the data of the statement:<br><br>'\n } else {\n texteCorr = ''\n }\n texteCorr += `$\\\\overrightarrow{AB}\\\\begin{pmatrix}${xB}-${ecritureParentheseSiNegatif(xA)}\\\\\\\\${yB}-${ecritureParentheseSiNegatif(yA)}\\\\end{pmatrix}$ i.e. $\\\\overrightarrow{AB}\\\\begin{pmatrix}${xB - xA}\\\\\\\\${yB - yA}\\\\end{pmatrix}$.<br><br>`\n texteCorr += `$\\\\overrightarrow{CD}\\\\begin{pmatrix}${xD}-${ecritureParentheseSiNegatif(xC)}\\\\\\\\${yD}-${ecritureParentheseSiNegatif(yC)}\\\\end{pmatrix}$ i.e. $\\\\overrightarrow{CD}\\\\begin{pmatrix}${xD - xC}\\\\\\\\${yD - yC}\\\\end{pmatrix}$.<br><br>`\n if (this.correctionDetaillee) {\n texteCorr += 'Let $k$ be a real number and let $\\\\vec{u}\\\\begin{pmatrix}x\\\\\\\\y\\\\end{pmatrix}$ and $\\\\vec{v}\\\\begin{pmatrix}x \\'\\\\\\\\y\\'\\\\end{pmatrix}$ two vectors in a frame $(O,\\\\vec\\\\imath,\\\\vec\\\\jmath)$.<br><br>'\n texteCorr += 'We know from the course that $k\\\\overrightarrow{v}\\\\begin{pmatrix}k\\\\times x\\'\\\\\\\\k\\\\times y\\'\\\\end{pmatrix}$ and that $\\\\overrightarrow{u}+\\\\overrightarrow{v}\\\\begin{pmatrix}x+x\\'\\\\\\\\y+y\\'\\\\end{pmatrix}$.<br><br>'\n texteCorr += 'Applied to statement data:<br><br>'\n texteCorr += `$${k}\\\\overrightarrow{CD}\\\\begin{pmatrix}${k}\\\\times${ecritureParentheseSiNegatif(xD - xC)}\\\\\\${k}\\\\times${ecritureParentheseSiNegatif(yD - yC)}\\\\end{pmatrix}$ i.e. $${k}\\\\overrightarrow{CD}\\\\begin{pmatrix}${k * (xD - xC)}\\\\\\\\${k * (yD - yC)}\\\\end{pmatrix}$.<br><br>`\n texteCorr += `$\\\\overrightarrow{AB}${ecritureAlgebrique(k)}\\\\overrightarrow{CD}\\\\begin{pmatrix}${xB - xA}+${ecritureParentheseSiNegatif(k * (xD - xC))}\\\\\\\\${yB - yA}+${ecritureParentheseSiNegatif(k * (yD - yC))}\\\\end{pmatrix}$.<br><br>`\n texteCorr += `Which ultimately gives: $\\\\overrightarrow{w}\\\\begin{pmatrix}${wx}\\\\\\\\${wy}\\\\end{pmatrix}$.<br>`\n } else {\n texteCorr = `$\\\\overrightarrow{w}\\\\begin{pmatrix}${xB - xA}${ecritureAlgebrique(k)}\\\\times${ecritureParentheseSiNegatif(xD - xC)}\\\\\\${yB - yA}${ecritureAlgebrique(k)}\\\\times${ecritureParentheseSiNegatif(yD - yC)}\\\\end{pmatrix}$ i.e. $\\\\overrightarrow{w}\\\\begin{pmatrix}${wx}\\\\\\\\${wy}\\\\end{pmatrix}$.<br>`\n }\n }\n break\n }\n texte += ajouteChampTexteMathLive(this, 2 * i, 'largeur15 inline', { texteAvant: '<br><br>Component on $x$ of $\\\\overrightarrow{w}$:' })\n texte += ajouteChampTexteMathLive(this, 2 * i + 1, 'largeur15 inline', { texteAvant: '<br><br>Component on $y$ of $\\\\overrightarrow{w}$:' })\n setReponse(this, 2 * i, wx, { formatInteractif: 'fractionEqual' })\n setReponse(this, 2 * i + 1, wy, { formatInteractif: 'fractionEqual' })\n if (this.questionJamaisPosee(i, wx, wy)) { // Si la question n'a jamais été posée, on en créé une autre\n this.listeQuestions.push(texte)\n this.listeCorrections.push(texteCorr)\n i++\n }\n cpt++\n }\n listeQuestionsToContenu(this)\n }\n this.besoinFormulaireTexte = ['Different situations', '1: Integer coordinates\\n2: Coordinates in fractional writing\\n3: From four points\\n4: Combination']\n}\n"],"names":["interactifReady","interactifType","titre","dateDePublication","dateDeModifImportante","uuid","ref","Calculercoordonneesproduitvecteurs","Exercice","listeTypeDeQuestions","gestionnaireFormulaireTexte","i","wx","wy","texte","texteCorr","cpt","uy","vy","ux","randint","vx","k","FractionEtendue","ecritureAlgebrique","ecritureParentheseSiNegatif","listeFractions1","frac1","choice","a","frac2","signe","texFractionReduite","xA","yA","xB","yB","xC","yC","xD","yD","ajouteChampTexteMathLive","setReponse","listeQuestionsToContenu"],"mappings":"sKAWY,MAACA,EAAkB,GAClBC,EAAiB,WACjBC,EAAQ,wEACRC,EAAoB,aACpBC,EAAwB,aAMxBC,EAAO,QACPC,EAAM,SACJ,SAASC,GAAsC,CAC5DC,EAAS,KAAK,IAAI,EAClB,KAAK,MAAQN,EACb,KAAK,YAAc,EACnB,KAAK,OAAS,EACd,KAAK,WAAa,EAClB,KAAK,IAAM,IACX,KAAK,oBAAsB,GAC3B,KAAK,8BAAgC,GACrC,KAAK,gBAAkB,UAAY,CACjC,KAAK,eAAiB,CAAE,EACxB,KAAK,iBAAmB,CAAE,EAC1B,MAAMO,EAAuBC,EAA4B,CACvD,OAAQ,KAAK,IACb,IAAK,EACL,IAAK,EACL,OAAQ,EACR,QAAS,EACT,YAAa,KAAK,YAClB,YAAa,CAAC,KAAM,KAAM,IAAI,CACpC,CAAK,EACD,QAASC,EAAI,EAAGC,EAAIC,EAAIC,EAAOC,EAAWC,EAAM,EAAGL,EAAI,KAAK,aAAeK,EAAM,IAAK,CACpF,OAAQP,EAAqBE,CAAC,EAAC,CAC7B,IAAK,KAAM,CACT,IAAIM,EAAIC,EACR,MAAMC,EAAKC,EAAQ,GAAI,CAAC,EACpBD,IAAO,EACTF,EAAKG,EAAQ,GAAI,EAAG,CAAC,CAAC,CAAC,EAEvBH,EAAKG,EAAQ,GAAI,CAAC,EAEpB,MAAMC,EAAKD,EAAQ,GAAI,CAAC,EACpBC,IAAO,EACTH,EAAKE,EAAQ,GAAI,EAAG,CAAC,CAAC,CAAC,EAEvBF,EAAKE,EAAQ,GAAI,CAAC,EAEpB,MAAME,EAAIF,EAAQ,GAAI,EAAG,CAAC,GAAI,EAAG,CAAC,CAAC,EAEnCR,EAAK,IAAIW,EAAgBJ,EAAKG,EAAID,EAAI,CAAC,EACvCR,EAAK,IAAIU,EAAgBN,EAAKK,EAAIJ,EAAI,CAAC,EAEvCJ,EAAQ,gIAAgIK,CAAE,OAAOF,CAAE,gDAAgDI,CAAE,OAAOH,CAAE,uBAC9MJ,GAAS,mFAAmFU,EAAmBF,CAAC,CAAC,yBAEjHP,EAAY,uCAAuCI,CAAE,GAAGK,EAAmBF,CAAC,CAAC,UAAUG,EAA4BJ,CAAE,CAAC,OAAOJ,CAAE,GAAGO,EAAmBF,CAAC,CAAC,UAAUG,EAA4BP,CAAE,CAAC,4DAA4DN,CAAE,OAAOC,CAAE,uBACnQ,KAAK,sBACPE,EAAY,wMACZA,GAAa,oNACbA,GAAa,qCACbA,GAAa,IAAIO,CAAC,sCAAsCA,CAAC,UAAUG,EAA4BJ,CAAE,CAAC,iBAAiBI,EAA4BP,CAAE,CAAC,yBAAyBI,CAAC,sCAAsCA,EAAID,CAAE,OAAOC,EAAIJ,CAAE,2BACrOH,GAAa,uBAAuBS,EAAmBF,CAAC,CAAC,sCAAsCH,CAAE,IAAIM,EAA4BH,EAAID,CAAE,CAAC,OAAOJ,CAAE,IAAIQ,EAA4BH,EAAIJ,CAAE,CAAC,2BACxLH,GAAa,+DAA+DH,CAAE,OAAOC,CAAE,uBAE1F,CACC,MAEF,IAAK,KAAM,CACT,MAAMa,EAAkB,CAAC,CAAC,EAAG,CAAC,EAAG,CAAC,EAAG,CAAC,EAAG,CAAC,EAAG,CAAC,EAAG,CAAC,EAAG,CAAC,EAAG,CAAC,EAAG,CAAC,EAAG,CAAC,EAAG,CAAC,EAAG,CAAC,EAAG,CAAC,EAAG,CAAC,EAAG,CAAC,EACpF,CAAC,EAAG,CAAC,EAAG,CAAC,EAAG,CAAC,EAAG,CAAC,EAAG,CAAC,EAAG,CAAC,EAAG,CAAC,EAAG,CAAC,EAAG,CAAC,EAAG,CAAC,EAAG,CAAC,EAAG,CAAC,EAAG,CAAC,EAAG,CAAC,EAAG,CAAC,CAAC,EAE1DP,EAAKC,EAAQ,GAAI,EAAG,CAAC,CAAC,CAAC,EACvBH,EAAKG,EAAQ,GAAI,EAAG,CAAC,CAAC,CAAC,EACvBO,EAAQC,EAAOF,CAAe,EAC9BJ,EAAI,IAAIC,EAAgBI,EAAM,CAAC,EAAGA,EAAM,CAAC,CAAC,EAC1CE,EAAID,EAAO,CAAC,GAAI,CAAC,CAAC,EAClBE,EAAQF,EAAOF,CAAe,EAC9BL,EAAK,IAAIE,EAAgBO,EAAM,CAAC,EAAGA,EAAM,CAAC,CAAC,EAC3CZ,EAAK,IAAIK,EAAgBH,EAAQ,GAAI,EAAG,CAAC,CAAC,CAAC,EAAG,CAAC,EACrDR,EAAKS,EAAG,gBAAgBC,EAAE,gBAAgBO,CAAC,CAAC,EAAE,aAAaV,CAAE,EAAE,UAAW,EAC1EN,EAAKK,EAAG,gBAAgBI,EAAE,gBAAgBO,CAAC,CAAC,EAAE,aAAaZ,CAAE,EAAE,UAAW,EAE1EH,EAAQ,gIAAgIK,CAAE,eAAeF,CAAE,gDAAgDI,EAAG,WAAW,cAAcH,CAAE,uBACzOJ,GAAS,mFAAmFiB,EAAMF,CAAC,CAAC,GAAGP,EAAE,WAAW,yBAEpHP,EAAY,uCAAuCI,CAAE,GAAGY,EAAMF,CAAC,CAAC,GAAGP,EAAE,WAAW,UAAUD,EAAG,WAAW,cAAcJ,CAAE,GAAGc,EAAMF,CAAC,CAAC,GAAGP,EAAE,WAAW,UAAUJ,EAAG,MAAM,6DAA6DN,EAAG,WAAW,cAAcC,EAAG,WAAW,oBACzQ,KAAK,sBACPE,EAAY,wMACZA,GAAa,oNACbA,GAAa,qCACbA,GAAa,IAAIiB,EAAmBL,EAAM,CAAC,EAAIE,EAAGF,EAAM,CAAC,CAAC,CAAC,sCAAsCK,EAAmBL,EAAM,CAAC,EAAIE,EAAGF,EAAM,CAAC,CAAC,CAAC,UAAUN,EAAG,WAAW,cAAcW,EAAmBL,EAAM,CAAC,EAAIE,EAAGF,EAAM,CAAC,CAAC,CAAC,UAAUF,EAA4BP,CAAE,CAAC,yBAAyBc,EAAmBL,EAAM,CAAC,EAAIE,EAAGF,EAAM,CAAC,CAAC,CAAC,uCAAuCK,EAAmBH,EAAIF,EAAM,CAAC,EAAIG,EAAM,CAAC,EAAGH,EAAM,CAAC,EAAIG,EAAM,CAAC,CAAC,CAAC,cAAcE,EAAmBH,EAAIF,EAAM,CAAC,EAAIT,EAAIS,EAAM,CAAC,CAAC,CAAC,2BACveE,EAAI,GAAKX,EAAK,IAChBH,GAAa,uBAAuBgB,EAAMF,CAAC,CAAC,GAAGP,EAAE,WAAW,sCAAsCH,CAAE,WAAWa,EAAmBH,EAAIF,EAAM,CAAC,EAAIG,EAAM,CAAC,EAAGH,EAAM,CAAC,EAAIG,EAAM,CAAC,CAAC,CAAC,sBAAsBb,CAAE,WAAWe,EAAmBH,EAAIF,EAAM,CAAC,EAAIT,EAAIS,EAAM,CAAC,CAAC,CAAC,qCAE/PE,EAAI,GAAKX,EAAK,IAChBH,GAAa,uBAAuBgB,EAAMF,CAAC,CAAC,GAAGP,EAAE,WAAW,sCAAsCH,CAAE,IAAIa,EAAmBH,EAAIF,EAAM,CAAC,EAAIG,EAAM,CAAC,EAAGH,EAAM,CAAC,EAAIG,EAAM,CAAC,CAAC,CAAC,cAAcb,CAAE,IAAIe,EAAmBH,EAAIF,EAAM,CAAC,EAAIT,EAAIS,EAAM,CAAC,CAAC,CAAC,4BAEzOE,EAAI,GAAKX,EAAK,IAChBH,GAAa,uBAAuBgB,EAAMF,CAAC,CAAC,GAAGP,EAAE,WAAW,sCAAsCH,CAAE,WAAWa,EAAmBH,EAAIF,EAAM,CAAC,EAAIG,EAAM,CAAC,EAAGH,EAAM,CAAC,EAAIG,EAAM,CAAC,CAAC,CAAC,sBAAsBb,CAAE,IAAIe,EAAmBH,EAAIF,EAAM,CAAC,EAAIT,EAAIS,EAAM,CAAC,CAAC,CAAC,4BAExPE,EAAI,GAAKX,EAAK,IAChBH,GAAa,uBAAuBgB,EAAMF,CAAC,CAAC,GAAGP,EAAE,WAAW,sCAAsCH,CAAE,IAAIa,EAAmBH,EAAIF,EAAM,CAAC,EAAIG,EAAM,CAAC,EAAGH,EAAM,CAAC,EAAIG,EAAM,CAAC,CAAC,CAAC,cAAcb,CAAE,WAAWe,EAAmBH,EAAIF,EAAM,CAAC,EAAIT,EAAIS,EAAM,CAAC,CAAC,CAAC,oCAEpPZ,GAAa,+DAA+DH,EAAG,WAAW,cAAcC,EAAG,WAAW,uBAEzH,CACC,MAEF,IAAK,KAAM,CACT,MAAMoB,EAAKb,EAAQ,GAAI,CAAC,EAClBc,EAAKd,EAAQ,GAAI,EAAGa,CAAE,EACtBE,EAAKf,EAAQ,GAAI,EAAGa,CAAE,EACtBG,EAAKhB,EAAQ,GAAI,EAAG,CAACc,EAAIC,CAAE,CAA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