// Numbas version: finer_feedback_settings
{"name": "Crear una tabla de verdad para una expresi\u00f3n l\u00f3gica de la forma....", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Crear una tabla de verdad para una expresi\u00f3n l\u00f3gica de la forma....", "tags": [], "metadata": {"description": "<p><span title=\"\">Crear una tabla de verdad para una expresi&oacute;n l&oacute;gica de la forma :</span></p>\n<p style=\"text-align: center;\"><span title=\"\">\\[[(a \\ {op1}\\ b) \\ {op2}\\ (c \\ {op3}\\ d)] \\ {op4} [e\\ {op5}\\ f]</span><span title=\"\">]\\]</span></p>\n<p><span title=\"\">donde cada una de $a, \\; b, \\; c, \\; d, \\; e, \\; f $ puede ser una de las variables booleanas \\[ p, \\; q, \\; \\neg p, \\; \\</span><span title=\"\">neg q\\]&nbsp; y cada uno de los operados $\\ {op} $&nbsp; puede ser uno de los operadores $ \\lor, \\; \\land, \\; \\to $.</span></p>\n<div class=\"tlid-results-container results-container\">\n<div class=\"tlid-result result-dict-wrapper\">\n<div class=\"result tlid-copy-target\">\n<div class=\"text-wrap tlid-copy-target\">\n<div class=\"result-shield-container tlid-copy-target\"><span class=\"tlid-translation translation\"><br /><span title=\"\" class=\"\">Por ejemplo: $ ((q \\lor \\neg p) \\to (p \\land \\neg q)) \\to (p \\lor q) $</span></span></div>\n</div>\n</div>\n</div>\n</div>\n<p></p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>En la siguiente pregunta se pide que construya una tabla de verdad para:</p>\n<p>\\[((\\var{a} \\var{op} \\var{b})\\var{op1}(\\var{a1} \\var{op2} \\var{b1}))\\var{op4}(\\var{a2} \\var{op3} \\var{b2}).\\]</p>\n<p></p>\n<p>Ingrese V si es verdadero, de lo contrario ingrese F.</p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>", "advice": "<p>Primero encontramos la tabla de verdad para $\\var{a} \\var{op} \\var{b}$:</p>\n<table border=\"1\">\n<tbody>\n<tr>\n<th>$p$</th>\n<th>$q$</th>\n<th>$\\var{a} \\var{op} \\var{b}$</th>\n</tr>\n<tr>\n<td>$\\var{disp[0]}$</td>\n<td>$\\var{disq[0]}$</td>\n<td>$\\var{ev1[0]}$</td>\n</tr>\n<tr>\n<td>$\\var{disp[1]}$</td>\n<td>$\\var{disq[1]}$</td>\n<td>$\\var{ev1[1]}$</td>\n</tr>\n<tr>\n<td>$\\var{disp[2]}$</td>\n<td>$\\var{disq[2]}$</td>\n<td>$\\var{ev1[2]}$</td>\n</tr>\n<tr>\n<td>$\\var{disp[3]}$</td>\n<td>$\\var{disq[3]}$</td>\n<td>$\\var{ev1[3]}$</td>\n</tr>\n</tbody>\n</table>\n<p>Entonces la tabla de verdad para $\\var{a1} \\var{op2} \\var{b1}$:</p>\n<table border=\"1\">\n<tbody>\n<tr>\n<th>$p$</th>\n<th>$q$</th>\n<th>$\\var{a1} \\var{op2} \\var{b1}$</th>\n</tr>\n<tr>\n<td>$\\var{disp[0]}$</td>\n<td>$\\var{disq[0]}$</td>\n<td>$\\var{ev2[0]}$</td>\n</tr>\n<tr>\n<td>$\\var{disp[1]}$</td>\n<td>$\\var{disq[1]}$</td>\n<td>$\\var{ev2[1]}$</td>\n</tr>\n<tr>\n<td>$\\var{disp[2]}$</td>\n<td>$\\var{disq[2]}$</td>\n<td>$\\var{ev2[2]}$</td>\n</tr>\n<tr>\n<td>$\\var{disp[3]}$</td>\n<td>$\\var{disq[3]}$</td>\n<td>$\\var{ev2[3]}$</td>\n</tr>\n</tbody>\n</table>\n<p>Juntando estas para encontrar $(\\var{a} \\var{op} \\var{b})\\var{op1}(\\var{a1} \\var{op2} \\var{b1})$:</p>\n<p></p>\n<table border=\"1\">\n<tbody>\n<tr>\n<th>$p$</th>\n<th>$q$</th>\n<th>$\\var{a} \\var{op} \\var{b}$</th>\n<th>$\\var{a1} \\var{op2} \\var{b1}$</th>\n<th>$(\\var{a} \\var{op} \\var{b})\\var{op1}(\\var{a1} \\var{op2} \\var{b1})$</th>\n</tr>\n<tr>\n<td>$\\var{disp[0]}$</td>\n<td>$\\var{disq[0]}$</td>\n<td>$\\var{ev1[0]}$</td>\n<td>$\\var{ev2[0]}$</td>\n<td>$\\var{t_value[0]}$</td>\n</tr>\n<tr>\n<td>$\\var{disp[1]}$</td>\n<td>$\\var{disq[1]}$</td>\n<td>$\\var{ev1[1]}$</td>\n<td>$\\var{ev2[1]}$</td>\n<td>$\\var{t_value[1]}$</td>\n</tr>\n<tr>\n<td>$\\var{disp[2]}$</td>\n<td>$\\var{disq[2]}$</td>\n<td>$\\var{ev1[2]}$</td>\n<td>$\\var{ev2[2]}$</td>\n<td>$\\var{t_value[2]}$</td>\n</tr>\n<tr>\n<td>$\\var{disp[3]}$</td>\n<td>$\\var{disq[3]}$</td>\n<td>$\\var{ev1[3]}$</td>\n<td>$\\var{ev2[3]}$</td>\n<td>$\\var{t_value[3]}$</td>\n</tr>\n</tbody>\n</table>\n<p>A continuaci&oacute;n, encontramos la tabla de verdad para $\\var{a2} \\var{op3} \\var{b2}$:</p>\n<table border=\"1\">\n<tbody>\n<tr>\n<th>$p$</th>\n<th>$q$</th>\n<th>$\\var{a2} \\var{op3} \\var{b2}$</th>\n</tr>\n<tr>\n<td>$\\var{disp[0]}$</td>\n<td>$\\var{disq[0]}$</td>\n<td>$\\var{ev3[0]}$</td>\n</tr>\n<tr>\n<td>$\\var{disp[1]}$</td>\n<td>$\\var{disq[1]}$</td>\n<td>$\\var{ev3[1]}$</td>\n</tr>\n<tr>\n<td>$\\var{disp[2]}$</td>\n<td>$\\var{disq[2]}$</td>\n<td>$\\var{ev3[2]}$</td>\n</tr>\n<tr>\n<td>$\\var{disp[3]}$</td>\n<td>$\\var{disq[3]}$</td>\n<td>$\\var{ev3[3]}$</td>\n</tr>\n</tbody>\n</table>\n<p>Todo esto junto para obtener la tabla de verdad que queremos:</p>\n<table border=\"1\">\n<tbody>\n<tr>\n<th>$p$</th>\n<th>$q$</th>\n<th>$(\\var{a} \\var{op} \\var{b})\\var{op1}(\\var{a1} \\var{op2} \\var{b1})$</th>\n<th>$\\var{a2} \\var{op3} \\var{b2}$</th>\n<th>$((\\var{a} \\var{op} \\var{b})\\var{op1}(\\var{a1} \\var{op2} \\var{b1}))\\var{op4}(\\var{a2} \\var{op3} \\var{b2})$</th>\n</tr>\n<tr>\n<td>$\\var{disp[0]}$</td>\n<td>$\\var{disq[0]}$</td>\n<td>$\\var{t_value[0]}$</td>\n<td>$\\var{ev3[0]}$</td>\n<td>$\\var{final_value[0]}$</td>\n</tr>\n<tr>\n<td>$\\var{disp[1]}$</td>\n<td>$\\var{disq[1]}$</td>\n<td>$\\var{t_value[1]}$</td>\n<td>$\\var{ev3[1]}$</td>\n<td>$\\var{final_value[1]}$</td>\n</tr>\n<tr>\n<td>$\\var{disp[2]}$</td>\n<td>$\\var{disq[2]}$</td>\n<td>$\\var{t_value[2]}$</td>\n<td>$\\var{ev3[2]}$</td>\n<td>$\\var{final_value[2]}$</td>\n</tr>\n<tr>\n<td>$\\var{disp[3]}$</td>\n<td>$\\var{disq[3]}$</td>\n<td>$\\var{t_value[3]}$</td>\n<td>$\\var{ev3[3]}$</td>\n<td>$\\var{final_value[3]}$</td>\n</tr>\n</tbody>\n</table>", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"ev2": {"name": "ev2", "group": "Second Bracket", "definition": "bool_to_label(pre_ev2)", "description": "", "templateType": "anything", "can_override": false}, "a": {"name": "a", "group": "First Bracket", "definition": "latex(latex_symbol_list[s[0]])", "description": "", "templateType": "anything", "can_override": false}, "p": {"name": "p", "group": "Truth values", "definition": "[true,true,false,false]", "description": "", "templateType": "anything", "can_override": false}, "pre_ev2": {"name": "pre_ev2", "group": "Second Bracket", "definition": "map(evaluate(convch(a1)+\" \"+conv(op2)+\" \"+convch(b1),[p[t],q[t]]),t,0..3)", "description": "", "templateType": "anything", "can_override": false}, "pre_ev1": {"name": "pre_ev1", "group": "First Bracket", "definition": "map(evaluate(convch(a)+\" \"+conv(op)+\" \"+convch(b),[p[t],q[t]]),t,0..3)", "description": "", "templateType": "anything", "can_override": false}, "disp": {"name": "disp", "group": "Truth values", "definition": "bool_to_label(p)", "description": "", "templateType": "anything", "can_override": false}, "q": {"name": "q", "group": "Truth values", "definition": "[true,false,true,false]", "description": "", "templateType": "anything", "can_override": false}, "ev1": {"name": "ev1", "group": "First Bracket", "definition": "bool_to_label(pre_ev1)", "description": "", "templateType": "anything", "can_override": false}, "pre_t_value": {"name": "pre_t_value", "group": "First and Second Brackets", "definition": "map(evaluate(pre_ev1[t]+\" \"+conv(op1)+\" \"+pre_ev2[t],[]),t,0..3)", "description": "", "templateType": "anything", "can_override": false}, "b1": {"name": "b1", "group": "Second Bracket", "definition": "latex(latex_symbol_list[s[3]])", "description": "", "templateType": "anything", "can_override": false}, "logic_symbol_list": {"name": "logic_symbol_list", "group": "Lists of symbols", "definition": "[\"p\",\"q\",\"not p\",\"not q\"]", "description": "", "templateType": "anything", "can_override": false}, "ev3": {"name": "ev3", "group": "Third Bracket", "definition": "bool_to_label(pre_ev3)", "description": "", "templateType": "anything", "can_override": false}, "a2": {"name": "a2", "group": "Third Bracket", "definition": "latex(latex_symbol_list[s[4]])", "description": "", "templateType": "anything", "can_override": false}, "final_value": {"name": "final_value", "group": "Ungrouped variables", "definition": "bool_to_label(map(evaluate(pre_t_value[t]+\" \"+conv(op4)+\" \"+pre_ev3[t],[]),t,0..3))", "description": "", "templateType": "anything", "can_override": false}, "b2": {"name": "b2", "group": "Third Bracket", "definition": "latex(latex_symbol_list[s[5]])", "description": "", "templateType": "anything", "can_override": false}, "op": {"name": "op", "group": "First Bracket", "definition": "latex(random(\"\\\\lor\",\"\\\\land\",\"\\\\to\"))", "description": "", "templateType": "anything", "can_override": false}, "op3": {"name": "op3", "group": "Third Bracket", "definition": "latex(random(\"\\\\lor\",\"\\\\land\",\"\\\\to\"))", "description": "", "templateType": "anything", "can_override": false}, "op2": {"name": "op2", "group": "Second Bracket", "definition": "latex(random(\"\\\\lor\",\"\\\\land\",\"\\\\to\"))", "description": "", "templateType": "anything", "can_override": false}, "t_value": {"name": "t_value", "group": "First and Second Brackets", "definition": "bool_to_label(pre_t_value)", "description": "", "templateType": "anything", "can_override": false}, "disq": {"name": "disq", "group": "Truth values", "definition": "bool_to_label(q)", "description": "", "templateType": "anything", "can_override": false}, "s": {"name": "s", "group": "Lists of symbols", "definition": "repeat(random(0..3),6)", "description": "", "templateType": "anything", "can_override": false}, "op4": {"name": "op4", "group": "Ungrouped variables", "definition": "latex(random(\"\\\\lor\",\"\\\\land\",\"\\\\to\"))", "description": "", "templateType": "anything", "can_override": false}, "b": {"name": "b", "group": "First Bracket", "definition": "latex(latex_symbol_list[s[1]])", "description": "", "templateType": "anything", "can_override": false}, "op1": {"name": "op1", "group": "First and Second Brackets", "definition": "latex(random(\"\\\\lor\",\"\\\\land\",\"\\\\to\"))", "description": "", "templateType": "anything", "can_override": false}, "pre_ev3": {"name": "pre_ev3", "group": "Third Bracket", "definition": "map(evaluate(convch(a2)+\" \"+conv(op3)+\" \"+convch(b2),[p[t],q[t]]),t,0..3)", "description": "", "templateType": "anything", "can_override": false}, "a1": {"name": "a1", "group": "Second Bracket", "definition": "latex(latex_symbol_list[s[2]])", "description": "", "templateType": "anything", "can_override": false}, "latex_symbol_list": {"name": "latex_symbol_list", "group": "Lists of symbols", "definition": "[\"p\",\"q\",\"\\\\neg p\",\"\\\\neg q\"]", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "a1 <>b1 and a2<>b2 and\nif(a='p' or a='\\\\neg p',b=random('q','\\\\neg q'),b=random('p','\\\\neg p'))\n", "maxRuns": "150"}, "ungrouped_variables": ["final_value", "op4"], "variable_groups": [{"name": "Lists of symbols", "variables": ["logic_symbol_list", "latex_symbol_list", "s"]}, {"name": "First Bracket", "variables": ["a", "b", "op", "pre_ev1", "ev1"]}, {"name": "Second Bracket", "variables": ["a1", "b1", "op2", "pre_ev2", "ev2"]}, {"name": "Truth values", "variables": ["p", "q", "disp", "disq"]}, {"name": "Third Bracket", "variables": ["a2", "b2", "op3", "pre_ev3", "ev3"]}, {"name": "First and Second Brackets", "variables": ["op1", "pre_t_value", "t_value"]}], "functions": {"bool_to_label": {"parameters": [["l", "list"]], "type": "number", "language": "jme", "definition": "map(if(l[x],'V','F'),x,0..length(l)-1)"}, "evaluate": {"parameters": [["expr", "string"], ["dependencies", "list"]], "type": "number", "language": "javascript", "definition": "return scope.evaluate(expr);"}, "convch": {"parameters": [["ch", "string"]], "type": "string", "language": "jme", "definition": "switch(ch=\"\\\\neg p\",\"not p[t]\",ch=\"\\\\neg q\",\"not q[t]\",ch=\"p\",\"p[t]\",\"q[t]\")"}, "conv": {"parameters": [["op", "string"]], "type": "string", "language": "jme", "definition": "switch(op=\"\\\\land\",\"and\",op=\"\\\\lor\",\"or\",\"implies\")"}}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Completa la siguiente tabla de verdad:</p>\n<table border=\"1\">\n<tbody>\n<tr>\n<th>$p$</th>\n<th>$q$</th>\n<th>$\\var{a} \\var{op} \\var{b}$</th>\n<th>$\\var{a1} \\var{op2} \\var{b1}$</th>\n<th>$(\\var{a} \\var{op} \\var{b}) \\var{op1} (\\var{a1} \\var{op2} \\var{b1})$</th>\n<th>$\\var{a2} \\var{op3} \\var{b2}$</th>\n<th>$((\\var{a} \\var{op} \\var{b})\\var{op1}(\\var{a1} \\var{op2} \\var{b1}))\\var{op4}(\\var{a2} \\var{op3} \\var{b2})$</th>\n</tr>\n<tr>\n<td>$\\var{disp[0]}$</td>\n<td>$\\var{disq[0]}$</td>\n<td>[[0]]</td>\n<td>[[4]]</td>\n<td>[[8]]</td>\n<td>[[12]]</td>\n<td>[[16]]</td>\n</tr>\n<tr>\n<td>$\\var{disp[1]}$</td>\n<td>$\\var{disq[1]}$</td>\n<td>[[1]]</td>\n<td>[[5]]</td>\n<td>[[9]]</td>\n<td>[[13]]</td>\n<td>[[17]]</td>\n</tr>\n<tr>\n<td>$\\var{disp[2]}$</td>\n<td>$\\var{disq[2]}$</td>\n<td>[[2]]</td>\n<td>[[6]]</td>\n<td>[[10]]</td>\n<td>[[14]]</td>\n<td>[[18]]</td>\n</tr>\n<tr>\n<td>$\\var{disp[3]}$</td>\n<td>$\\var{disq[3]}$</td>\n<td>[[3]]</td>\n<td>[[7]]</td>\n<td>[[11]]</td>\n<td>[[15]]</td>\n<td>[[19]]</td>\n</tr>\n</tbody>\n</table>", "gaps": [{"type": "patternmatch", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{ev1[0]}", "displayAnswer": "{ev1[0]}", "matchMode": "regex"}, {"type": "patternmatch", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{ev1[1]}", "displayAnswer": "{ev1[1]}", "matchMode": "regex"}, {"type": "patternmatch", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{ev1[2]}", "displayAnswer": "{ev1[2]}", "matchMode": "regex"}, {"type": "patternmatch", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{ev1[3]}", "displayAnswer": "{ev1[3]}", "matchMode": "regex"}, {"type": "patternmatch", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{ev2[0]}", "displayAnswer": "{ev2[0]}", "matchMode": "regex"}, {"type": "patternmatch", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{ev2[1]}", "displayAnswer": "{ev2[1]}", "matchMode": "regex"}, {"type": "patternmatch", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{ev2[2]}", "displayAnswer": "{ev2[2]}", "matchMode": "regex"}, {"type": "patternmatch", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{ev2[3]}", "displayAnswer": "{ev2[3]}", "matchMode": "regex"}, {"type": "patternmatch", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{t_value[0]}", "displayAnswer": "{t_value[0]}", "matchMode": "regex"}, {"type": "patternmatch", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{t_value[1]}", "displayAnswer": "{t_value[1]}", "matchMode": "regex"}, {"type": "patternmatch", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, 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