// Numbas version: exam_results_page_options
{"name": "Problema 1  m\u00e1ximo y m\u00ednimo Global", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"statement": "<p>Sea el intervalo $I=[\\var{l},\\var{m}]$ y $g: I \\rightarrow I$ una funci&oacute;n definida en este intervalo mediante</p>\n<p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; :\\[g(x) = \\simplify{{c}/3*x^3+ {-c*(a+b)}/2*x^2+{c*a*b}*x+{d}}\\]</p>", "ungrouped_variables": ["temp2", "temp1", "gmi", "valmin", "gma", "s", "m1", "valbegin", "a", "valmax", "valgmax", "valgmin", "rawvalend", "rawvalmax", "b", "rawvalbegin", "rawvalmin", "rtemp2", "c", "rtemp1", "d", "m", "l", "valend", "l1"], "extensions": [], "variablesTest": {"condition": "", "maxRuns": 100}, "preamble": {"js": "", "css": ""}, "name": "Problema 1  m\u00e1ximo y m\u00ednimo Global", "functions": {}, "tags": [], "parts": [{"marks": 0, "variableReplacementStrategy": "originalfirst", "customMarkingAlgorithm": "", "sortAnswers": false, "gaps": [{"marks": 1, "variableReplacementStrategy": "originalfirst", "checkingAccuracy": 0.001, "failureRate": 1, "showFeedbackIcon": true, "unitTests": [], "notallowed": {"message": "<p>Factorise the expression</p>", "partialCredit": 0, "strings": ["^", "x*x", "xx", "x x"], "showStrings": false}, "vsetRangePoints": 5, "extendBaseMarkingAlgorithm": true, "checkingType": "absdiff", "showPreview": true, "vsetRange": [0, 1], "type": "jme", "variableReplacements": [], "customMarkingAlgorithm": "", "scripts": {}, "checkVariableNames": false, "expectedVariableNames": [], "musthave": {"message": "<p>Factorise the expression</p>", "partialCredit": 0, "strings": ["(", ")"], "showStrings": false}, "answer": "{c} * (x + {-a}) * (x + {-b})", "answerSimplification": "std", "showCorrectAnswer": true}], "showFeedbackIcon": true, "prompt": "<p>Ingrese la primera derivada de $g$, factorizada en un producto de dos factores lineales en la forma $g'(x) = c(x-a)(x-b)$ para enteros adecuados $a$, $b$ y $c$ :</p>\n<p></p>\n<p>$g'(x)=\\;\\;$[[0]]</p>", "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "unitTests": [], "scripts": {}, "type": "gapfill", "variableReplacements": []}, {"marks": 0, "variableReplacementStrategy": "originalfirst", "customMarkingAlgorithm": "", "sortAnswers": false, "gaps": [{"marks": 1, "variableReplacementStrategy": "originalfirst", "checkVariableNames": false, "vsetRange": [0, 1], "checkingAccuracy": 0.001, "failureRate": 1, "customMarkingAlgorithm": "", "checkingType": "absdiff", "showFeedbackIcon": true, "unitTests": [], "expectedVariableNames": [], "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "answer": "{a}", "showPreview": true, "answerSimplification": "std", "scripts": {}, "type": "jme", "variableReplacements": [], "vsetRangePoints": 5}, {"marks": 1, "variableReplacementStrategy": "originalfirst", "checkVariableNames": false, "vsetRange": [0, 1], "checkingAccuracy": 0.001, "failureRate": 1, "customMarkingAlgorithm": "", "checkingType": "absdiff", "showFeedbackIcon": true, "unitTests": [], "expectedVariableNames": [], "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "answer": "{b}", "showPreview": true, "answerSimplification": "std", "scripts": {}, "type": "jme", "variableReplacements": [], "vsetRangePoints": 5}, {"marks": 0, "variableReplacementStrategy": "originalfirst", "shuffleChoices": true, "displayType": "radiogroup", "customMarkingAlgorithm": "", "distractors": ["", ""], "choices": ["Si", "<p>No</p>"], "showFeedbackIcon": true, "showCellAnswerState": true, "maxMarks": 0, "displayColumns": 0, "matrix": [1, 0], "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "unitTests": [], "minMarks": 0, "scripts": {}, "type": "1_n_2", "variableReplacements": []}], "showFeedbackIcon": true, "prompt": "<p>Encontrar los puntos estacionarios de $g$</p>\n<p><strong></strong>Punto estacionario m&aacute;s peque&ntilde;o: [[0]]&nbsp; &nbsp; Punto estacionario m&aacute;s grande: [[1]]</p>\n<p>&iquest;Ambos puntos estacionarios se encuentran en el intervalo $I$ ? [[2]]</p>", "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "unitTests": [], "scripts": {}, "type": "gapfill", "variableReplacements": []}, {"marks": 0, "variableReplacementStrategy": "originalfirst", "customMarkingAlgorithm": "", "sortAnswers": false, "gaps": [{"marks": 1, "variableReplacementStrategy": "originalfirst", "checkVariableNames": false, "vsetRange": [0, 1], "checkingAccuracy": 0.001, "failureRate": 1, "customMarkingAlgorithm": "", "checkingType": "absdiff", "showFeedbackIcon": true, "unitTests": [], "expectedVariableNames": [], "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "answer": "(({(2 * c)} * x) + ( - {(c * (a + b))}))", "showPreview": true, "answerSimplification": "std", "scripts": {}, "type": "jme", "variableReplacements": [], "vsetRangePoints": 5}, {"marks": 1, "variableReplacementStrategy": "originalfirst", "checkVariableNames": false, "vsetRange": [0, 1], "checkingAccuracy": 0.001, "failureRate": 1, "customMarkingAlgorithm": "", "checkingType": "absdiff", "showFeedbackIcon": true, "unitTests": [], "expectedVariableNames": [], "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "answer": "{a}", "showPreview": true, "answerSimplification": "std", "scripts": {}, "type": "jme", "variableReplacements": [], "vsetRangePoints": 5}, {"marks": 1, "variableReplacementStrategy": "originalfirst", "checkVariableNames": false, "vsetRange": [0, 1], "checkingAccuracy": 0.001, "failureRate": 1, "customMarkingAlgorithm": "", "checkingType": "absdiff", "showFeedbackIcon": true, "unitTests": [], "expectedVariableNames": [], "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "answer": "{valmax}", "showPreview": true, "answerSimplification": "std", "scripts": {}, "type": "jme", "variableReplacements": [], "vsetRangePoints": 5}, {"marks": 1, "variableReplacementStrategy": "originalfirst", "checkVariableNames": false, "vsetRange": [0, 1], "checkingAccuracy": 0.001, "failureRate": 1, "customMarkingAlgorithm": "", "checkingType": "absdiff", "showFeedbackIcon": true, "unitTests": [], "expectedVariableNames": [], "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "answer": "{b}", "showPreview": true, "answerSimplification": "std", "scripts": {}, "type": "jme", "variableReplacements": [], "vsetRangePoints": 5}, {"marks": 1, "variableReplacementStrategy": "originalfirst", "checkVariableNames": false, "vsetRange": [0, 1], "checkingAccuracy": 0.001, "failureRate": 1, "customMarkingAlgorithm": "", "checkingType": "absdiff", "showFeedbackIcon": true, "unitTests": [], "expectedVariableNames": [], "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "answer": "{valmin}", "showPreview": true, "answerSimplification": "std", "scripts": {}, "type": "jme", "variableReplacements": [], "vsetRangePoints": 5}], "showFeedbackIcon": true, "prompt": "<p>Ingrese la segunda derivada de $g$:</p>\n<p>$g''(x)=\\;\\;$ [[0]]</p>\n<p>Encuentre todos los m&aacute;ximos y m&iacute;nimos locales dados por los puntos estacionarios.</p>\n<p>El m&aacute;ximo local est&aacute; en $x=\\;\\;$ [[1]]&nbsp;y el valor de la funci&oacute;n en el m&aacute;ximo local es = [[2]]</p>\n<p>El m&iacute;nimo local est&aacute; en $x=\\;\\;$ [[3]]&nbsp;y el valor de la funci&oacute;n en el m&iacute;nimo local es&nbsp; = [[4]]</p>", "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "unitTests": [], "scripts": {}, "type": "gapfill", "variableReplacements": []}, {"marks": 0, "variableReplacementStrategy": "originalfirst", "customMarkingAlgorithm": "", "sortAnswers": false, "gaps": [{"marks": 1, "variableReplacementStrategy": "originalfirst", "mustBeReduced": false, "maxValue": "valbegin", "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "correctAnswerFraction": false, "minValue": "valbegin", "showFeedbackIcon": true, "correctAnswerStyle": "plain", "allowFractions": false, "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "unitTests": [], "notationStyles": ["plain", "en", "si-en"], "scripts": {}, "type": "numberentry", "variableReplacements": []}, {"marks": 1, "variableReplacementStrategy": "originalfirst", "mustBeReduced": false, "maxValue": "valend", "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "correctAnswerFraction": false, "minValue": "valend", "showFeedbackIcon": true, "correctAnswerStyle": "plain", "allowFractions": false, "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "unitTests": [], "notationStyles": ["plain", "en", "si-en"], "scripts": {}, "type": "numberentry", "variableReplacements": []}], "showFeedbackIcon": true, "prompt": "<p>&iquest;Cu&aacute;les son los valores de la funci&oacute;n en los extremos del intervalo $I$?</p>\n<p>$g(\\var{l})=\\;\\;$ [[0]] &nbsp; &nbsp; &nbsp;$g(\\var{m})=\\;\\;$ [[1]]</p>\n<p>Ingresar ambas con 3 decimales.</p>", "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "unitTests": [], "scripts": {}, "type": "gapfill", "variableReplacements": []}, {"marks": 0, "variableReplacementStrategy": "originalfirst", "customMarkingAlgorithm": "", "sortAnswers": false, "gaps": [{"marks": 1, "variableReplacementStrategy": "originalfirst", "mustBeReduced": false, "maxValue": "{gma}", "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "correctAnswerFraction": false, "minValue": "{gma}", "showFeedbackIcon": true, "correctAnswerStyle": "plain", "allowFractions": false, "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "unitTests": [], "notationStyles": ["plain", "en", "si-en"], "scripts": {}, "type": "numberentry", "variableReplacements": []}, {"marks": 1, "variableReplacementStrategy": "originalfirst", "mustBeReduced": false, "maxValue": "valgmax", "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "correctAnswerFraction": false, "minValue": "valgmax", "showFeedbackIcon": true, "correctAnswerStyle": "plain", "allowFractions": false, "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "unitTests": [], "notationStyles": ["plain", "en", "si-en"], "scripts": {}, "type": "numberentry", "variableReplacements": []}, {"marks": 1, "variableReplacementStrategy": "originalfirst", "mustBeReduced": false, "maxValue": "{gmi}", "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "correctAnswerFraction": false, "minValue": "{gmi}", "showFeedbackIcon": true, "correctAnswerStyle": "plain", "allowFractions": false, "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "unitTests": [], "notationStyles": ["plain", "en", "si-en"], "scripts": {}, "type": "numberentry", "variableReplacements": []}, {"marks": 1, "variableReplacementStrategy": "originalfirst", "mustBeReduced": false, "maxValue": "valgmin", "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "correctAnswerFraction": false, "minValue": "valgmin", "showFeedbackIcon": true, "correctAnswerStyle": "plain", "allowFractions": false, "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "unitTests": [], "notationStyles": ["plain", "en", "si-en"], "scripts": {}, "type": "numberentry", "variableReplacements": []}], "showFeedbackIcon": true, "prompt": "<p>M&aacute;ximo global</p>\n<p>&iquest;Qu&eacute; valor de $x$ en $I$, $g$ tiene un m&aacute;ximo global?</p>\n<p>$x=\\;\\;$ [[0]]</p>\n<p>Valor de $g$ en este m&aacute;ximo global = [[1]] (ingresar 3 decimales).</p>\n<p>M&iacute;nimo global</p>\n<p>&iquest;Qu&eacute; valor de $x$ en $I$, $g$ tiene un m&iacute;nimo global?</p>\n<p>$x=\\;\\;$ [[2]]</p>\n<p>Valor de $g$ en este m&iacute;nimo global = [[3]] (ingresar 3 decimales).</p>", "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "unitTests": [], "scripts": {}, "type": "gapfill", "variableReplacements": []}], "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>$I$ compact interval, $g:I\\rightarrow I,\\;g(x)=ax^3+bx^2+cx+d$. Find stationary points, local and global maxima and minima of $g$ on $I$</p>\n<p>$ I $ intervalo compacto, $ g: I \\ rightarrow I, \\; g (x) = ax ^ 3 + bx ^ 2 + cx + d $. Encuentre puntos estacionarios, m&aacute;ximos locales y globales y m&iacute;nimos de $ g $ en $ I $</p>"}, "advice": "<p>Diferenciando,tenemos</p>\n<p>\\[g'(x)=\\simplify{{c}*x^2+{-c*(a+b)}*x+{c*a*b}={c}*(x+{-a})(x-{b})}\\]</p>\n<p>Tenga en cuenta que ya hemos factorizado la derivada.</p>\n<p>Los puntos estacionarios se obtienen resolviendo. $g'(x)=0 \\Rightarrow x=\\var{a},\\;\\;\\mbox {o }&nbsp; x=\\var{b}$</p>\n<p>El menor punto estacionario es $x=\\var{a}$ y el m&aacute;s grande es $x=\\var{b}$.</p>\n<p>Puesto $\\var{a} &gt; \\var{l}$ y $\\var{b} \\lt \\var{m}$&nbsp;tenemos que ambos puntos estacionarios est&aacute;n en $I$.</p>\n<p>La segunda derivada viene dada por \\[g''(x)=\\simplify{{2*c}*x-{c*(a+b)}}\\]</p>\n<h4>M&aacute;ximo local&nbsp;</h4>\n<p>En el punto estacionario $x=\\var{a}$ tenemos $g''(\\var{a})=\\var{c*a-c*b} \\lt 0$.</p>\n<p>por lo tanto en este valor de $x$ tenemos un m&aacute;ximo local.</p>\n<p>El valor de la funci&oacute;n $g$ en este m&aacute;ximo local es $g(\\var{a})= \\var{valmax}$.</p>\n<h4>M&iacute;nimo local</h4>\n<p>en el punto estacionario $x=\\var{b}$ tenemos $g''(\\var{b})=\\var{c*b-c*a} \\gt 0$.</p>\n<p>en consecuencia este punto es un m&iacute;nimo local.</p>\n<p>El valor de la funci&oacute;n $g$ en este m&iacute;nimo local es $g(\\var{b})= \\var{valmin}$.</p>\n<h4>M&aacute;ximo global&nbsp;</h4>\n<p>Primero encontramos los valores en los extremos del intervalo. $I=[\\var{l},\\var{m}]$ son:</p>\n<p>$g(\\var{l})=\\var{valbegin}$&nbsp; con 3 decimales.</p>\n<p>$g(\\var{m})=\\var{valend}$ con 3 decimales.</p>\n<p>Para encontrar el m&aacute;ximo global, tenga en cuenta que solo nos preocupan los valores de $g$ en el intervalo de $I$</p>\n<p>Procedemos&nbsp; a comparar los valores de la funci&oacute;n en los extremos del intervalo con el m&aacute;ximo local.</p>\n<p>a) Si el valor en el m&aacute;ximo local es mayor que cualquiera de los valores en los extremos, entonces este es el m&aacute;ximo global en el intervalo.<br/>b) De lo contrario, si el mayor valor de la funci&oacute;n en los puntos extremos es mayor que el m&aacute;ximo local, entonces este es el m&aacute;ximo global.</p>\n<p><strong></strong></p>\n<p>\\[\\begin{array}{c|c|c|c} x &amp; \\mbox{m&aacute;ximo local}=\\var{a} &amp; \\var{l} \\in I &amp; \\var{m} \\in I \\\\ \\hline\\\\ g(x)&amp; \\var{valmax} &amp; \\var{valbegin} &amp; \\var{valend} \\\\ \\end{array} \\]</p>\n<p>Para nuestro ejemplo, vemos que el m&aacute;ximo global ocurre en $x=\\var{gma}$ y $g(\\var{gma})=\\var{valgmax}$.</p>\n<h4>M&iacute;nimo Global</h4>\n<p>Procedemos como en el m&aacute;ximo global, comparando los valores de la funci&oacute;n en los extremos del intervalo con el m&iacute;nimo local.<br/>a) Si el valor en el m&iacute;nimo local es menor que cualquiera de los valores en los extremos del intervalo, entonces este es el m&iacute;nimo global en el intervalo.<br/>b) De lo contrario, si el valor m&iacute;nimo de la funci&oacute;n en los extremos del intervalo es menor que el m&iacute;nimo local, entonces este es el m&iacute;nimo global.</p>\n<p>\\[\\begin{array}{c|c|c|c} x &amp; \\mbox{m&iacute;nimo local}=\\var{b} &amp; \\var{l} \\in I &amp; \\var{m} \\in I \\\\ \\hline\\\\ g(x)&amp; \\var{valmin} &amp; \\var{valbegin} &amp; \\var{valend} \\\\ \\end{array} \\]</p>\n<p>Para nuestro ejemplo, vemos que el m&aacute;ximo global ocurre en t $x=\\var{gmi}$ y $g(\\var{gmi})=\\var{valgmin}$.</p>", "variable_groups": [], "variables": {"gmi": {"description": "", "name": "gmi", "definition": "if(valbegin<valmin,l,b)", "group": "Ungrouped variables", "templateType": "anything"}, "s": {"description": "", "name": "s", "definition": "random(1,-1)", "group": "Ungrouped variables", "templateType": "anything"}, "valmax": {"description": "", "name": "valmax", "definition": "round(rawvalmax)", "group": "Ungrouped variables", "templateType": "anything"}, "rawvalmin": {"description": "", "name": "rawvalmin", "definition": "(c/3) * b^ 3 + (-c * (a + b)) / 2 * b^ 2 + (c * a * b) * b + d", "group": "Ungrouped variables", "templateType": "anything"}, "rawvalbegin": {"description": "", "name": "rawvalbegin", "definition": "(c/3) * l^ 3 + (-c * (a + b)) / 2 * l^ 2 + (c * a * b) * l+ d", "group": "Ungrouped variables", "templateType": "anything"}, "rawvalmax": {"description": "", "name": "rawvalmax", "definition": "(c/3) * a^ 3 + (-c * (a + b)) / 2 * a^ 2 + (c * a * b) * a + d", "group": "Ungrouped variables", "templateType": "anything"}, "valmin": {"description": "", "name": "valmin", "definition": "round(rawvalmin)", "group": "Ungrouped variables", "templateType": "anything"}, "valend": {"description": "", "name": "valend", "definition": "precround(rawvalend,2)", "group": "Ungrouped variables", "templateType": "anything"}, "b": {"description": "", "name": "b", "definition": "if(c=6,a+random(1..9),random(2..10#2)+a)", "group": "Ungrouped variables", "templateType": "anything"}, "valgmin": {"description": "", "name": "valgmin", "definition": "min(valbegin,valmin)", "group": "Ungrouped variables", "templateType": "anything"}, "c": {"description": "", "name": "c", "definition": "random(3,6)", "group": "Ungrouped variables", "templateType": "anything"}, "valgmax": {"description": "", "name": "valgmax", "definition": "max(valend,valmax)", "group": "Ungrouped variables", "templateType": "anything"}, "valbegin": {"description": "", "name": "valbegin", "definition": "precround(rawvalbegin,2)", "group": "Ungrouped variables", "templateType": "anything"}, "rtemp2": {"description": "", "name": "rtemp2", "definition": "(c/3) * m1^ 3 + (-c * (a + b)) / 2 * m1^ 2 + (c * a * b) * m1+ d", "group": "Ungrouped variables", "templateType": "anything"}, "temp1": {"description": "", "name": "temp1", "definition": "precround(rtemp1,2)", "group": "Ungrouped variables", "templateType": "anything"}, "d": {"description": "", "name": "d", "definition": "if(c=3,random(-9..9),random(-9..9#2))", "group": "Ungrouped variables", "templateType": "anything"}, "rtemp1": {"description": "", "name": "rtemp1", "definition": "(c/3) * l1^ 3 + (-c * (a + b)) / 2 * l1^ 2 + (c * a * b) * l1+ d", "group": "Ungrouped variables", "templateType": "anything"}, "l1": {"description": "", "name": "l1", "definition": "a-random(0.5..3#0.5)", "group": "Ungrouped variables", "templateType": "anything"}, "l": {"description": "", "name": "l", "definition": "if(valmin=temp1,l1-0.5,l1)", "group": "Ungrouped variables", "templateType": "anything"}, "rawvalend": {"description": "", "name": "rawvalend", "definition": "(c/3) * m^ 3 + (-c * (a + b)) / 2 * m^ 2 + (c * a * b) * m+ d", "group": "Ungrouped variables", "templateType": "anything"}, "temp2": {"description": "", "name": "temp2", "definition": "precround(rtemp2,2)", "group": "Ungrouped variables", "templateType": "anything"}, "gma": {"description": "", "name": "gma", "definition": "if(valend>valmax,m,a)", "group": "Ungrouped variables", "templateType": "anything"}, "a": {"description": "", "name": "a", "definition": "s*random(1..5)", "group": "Ungrouped variables", "templateType": "anything"}, "m": {"description": "", "name": "m", "definition": "if(valmax=temp2,m1+0.5,m1)", "group": "Ungrouped variables", "templateType": "anything"}, "m1": {"description": "", "name": "m1", "definition": "b+random(0.5..3#0.5)", "group": "Ungrouped variables", "templateType": "anything"}}, "rulesets": {"std": ["all", "!collectNumbers", "fractionNumbers", "!noLeadingMinus"]}, "type": "question", "contributors": [{"name": "Bill Foster", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/6/"}, {"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Luis Hernandez", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2870/"}]}]}], "contributors": [{"name": "Bill Foster", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/6/"}, {"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Luis Hernandez", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2870/"}]}