// Numbas version: exam_results_page_options {"name": "Schriftliche Subtraktion", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Schriftliche Subtraktion", "tags": [], "metadata": {"description": "

...nach Kushyr ibn-Labban, schrittweise

", "licence": "Creative Commons Attribution-ShareAlike 4.0 International"}, "statement": "

In dieser Aufgabe soll schriftlich Schritt-für-Schritt nach der Methode von ibn-Labban subtrahiert werden.

\n

Wir wählen als Aufgabenstellung: $\\var{number1}-\\var{number2}$.

", "advice": "

Zu Beginn wird untereinander geschrieben:

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
{digits1[0]}{digits1[1]}{digits1[2]}{digits1[3]}{digits1[4]}
{digits3[0]}{digits3[1]}{digits3[2]}{digits3[3]}
\n

$\\var{if(step1[0]<digits1[0],\"Im 1. Schritt wird $\\\\var{digits1[0]}\\\\var{digits1[1]}-\\\\var{digits3[0]}=\\\\var{step1[0]}\\\\var{step1[1]}$ gerechnet:\",\"Im 1. Schritt wird $\\\\var{digits1[0]}\\\\var{digits1[1]}-\\\\var{digits3[0]}=\\\\var{step1[0]}\\\\var{step1[1]}$ gerechnet:\")}$

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
{step1[0]}{step1[1]}{step1[2]}{step1[3]}{step1[4]}
{digits3[0]}{digits3[1]}{digits3[2]}{digits3[3]}
\n

$\\var{if(step2[1]<step1[1],\"Im 2. Schritt wird $\\\\var{step1[1]}\\\\var{step1[2]}-\\\\var{digits3[1]}=\\\\var{step2[1]}\\\\var{step2[2]}$ gerechnet:\",\"Im 2. Schritt wird $\\\\var{step1[2]}-\\\\var{digits3[1]}=\\\\var{step2[2]}$ gerechnet:\")}$

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
{step2[0]}{step2[1]}{step2[2]}{step2[3]}{step2[4]}
{digits3[0]}{digits3[1]}{digits3[2]}{digits3[3]}
\n

$\\var{if(step3[2]<step2[2],\"Im 3. Schritt wird $\\\\var{step2[2]}\\\\var{step2[3]}-\\\\var{digits3[2]}=\\\\var{step3[2]}\\\\var{step3[3]}$ gerechnet:\",\"Im 3. Schritt wird $\\\\var{step2[3]}-\\\\var{digits3[2]}=\\\\var{step3[3]}$ gerechnet:\")}$

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
{step3[0]}{step3[1]}{step3[2]}{step3[3]}{step3[4]}
{digits3[0]}{digits3[1]}{digits3[2]}{digits3[3]}
\n

$\\var{if(step4[3]<step3[3],\"Im letzten Schritt wird $\\\\var{step3[3]}\\\\var{step3[4]}-\\\\var{digits3[3]}=\\\\var{step4[3]}\\\\var{step4[4]}$ gerechnet:\",\"Im letzten Schritt wird $\\\\var{step3[4]}-\\\\var{digits3[3]}=\\\\var{step4[4]}$ gerechnet:\")}$

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
{step4[0]}{step4[1]}{step4[2]}{step4[3]}{step4[4]}
{digits3[0]}{digits3[1]}{digits3[2]}{digits3[3]}
", "rulesets": {}, "extensions": [], "variables": {"digits1": {"name": "digits1", "group": "Ungrouped variables", "definition": "[random(3,5,7,9)]+shuffle([2,3,4,5,6,7,8])[0..4]", "description": "", "templateType": "anything"}, "digits2": {"name": "digits2", "group": "Ungrouped variables", "definition": "random([2,-2,2,-2],[-2,2,-2,2])", "description": "", "templateType": "anything"}, "digits3": {"name": "digits3", "group": "Ungrouped variables", "definition": "[max(min(digits1[1]+digits2[0],9),1),max(min(digits1[2]+digits2[1],9),1),max(min(digits1[3]+digits2[2],9),1),max(min(digits1[4]+digits2[3],9),1)]", "description": "", "templateType": "anything"}, "number1": {"name": "number1", "group": "Ungrouped variables", "definition": "10000*digits1[0]+1000*digits1[1]+100*digits1[2]+10*digits1[3]+digits1[4]", "description": "", "templateType": "anything"}, "number2": {"name": "number2", "group": "Ungrouped variables", "definition": "1000*digits3[0]+100*digits3[1]+10*digits3[2]+digits3[3]", "description": "", "templateType": "anything"}, "solution": {"name": "solution", "group": "Ungrouped variables", "definition": "number1-number2", "description": "", "templateType": "anything"}, "step1": {"name": "step1", "group": "Ungrouped variables", "definition": "if(digits3[0]>digits1[1],[digits1[0]-1,10+digits1[1]-digits3[0],digits1[2],digits1[3],digits1[4]],[digits1[0],digits1[1]-digits3[0],digits1[2],digits1[3],digits1[4]])", "description": "", "templateType": "anything"}, "step2": {"name": "step2", "group": "Ungrouped variables", "definition": "if(digits3[1]>digits1[2],[step1[0],step1[1]-1,10+digits1[2]-digits3[1],digits1[3],digits1[4]],[step1[0],step1[1],digits1[2]-digits3[1],digits1[3],digits1[4]])", "description": "", "templateType": "anything"}, "step3": {"name": "step3", "group": "Ungrouped variables", "definition": "if(digits3[2]>digits1[3],[step2[0],step2[1],step2[2]-1,10+digits1[3]-digits3[2],digits1[4]],[step2[0],step2[1],step2[2],digits1[3]-digits3[2],digits1[4]])", "description": "", "templateType": "anything"}, "step4": {"name": "step4", "group": "Ungrouped variables", "definition": "if(digits3[3]>digits1[4],[step3[0],step3[1],step3[2],step3[3]-1,10+digits1[4]-digits3[3]],[step3[0],step3[1],step3[2],step3[3],digits1[4]-digits3[3]])", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["digits1", "digits2", "digits3", "number1", "number2", "solution", "step1", "step2", "step3", "step4"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [{"label": "Weiter zu Schritt 1", "rawLabel": "Weiter zu Schritt 1", "otherPart": 1, "variableReplacements": [], "availabilityCondition": "", "penalty": "", "penaltyAmount": 0, "lockAfterLeaving": false}], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Zu Beginn schreiben wir die Zahlen untereinander:

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
\n

{digits1[0]}

\n
\n

{digits1[1]}

\n
\n

{digits1[2]}

\n
\n

{digits1[3]}

\n
\n

{digits1[4]}

\n
\n

{digits3[0]}

\n
\n

{digits3[1]}

\n
\n

{digits3[2]}

\n
\n

{digits3[3]}

\n
\n

Es wird nun stellenwertweise (ggf. mit Überträgen) subtrahiert.

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Geben Sie unten das Zwischenergebnis nach dem ersten Schritt ein (in jede Lücke darf nur eine Ziffer)!\u200b

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
[[0]][[1]][[2]][[3]][[4]]
\n

{digits3[0]}

\n
\n

{digits3[1]}

\n
\n

{digits3[2]}

\n
\n

{digits3[3]}

\n
", "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "ZT", "marks": "0.2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": "Schritt 1", "minValue": "step1[0]", "maxValue": "step1[0]", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain-eu"], "correctAnswerStyle": "plain-eu"}, {"type": "numberentry", "useCustomName": true, "customName": "T", "marks": "0.2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": "Schritt 1", "minValue": "step1[1]", "maxValue": "step1[1]", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain-eu"], "correctAnswerStyle": "plain-eu"}, {"type": "numberentry", "useCustomName": true, "customName": "H", "marks": "0.2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": "Schritt 1", "minValue": "step1[2]", "maxValue": "step1[2]", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain-eu"], "correctAnswerStyle": "plain-eu"}, {"type": "numberentry", "useCustomName": true, "customName": "Z", "marks": "0.2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": "Schritt 1", "minValue": "step1[3]", "maxValue": "step1[3]", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain-eu"], "correctAnswerStyle": "plain-eu"}, {"type": "numberentry", "useCustomName": true, "customName": "E", "marks": "0.2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": "Schritt 1", "minValue": "step1[4]", "maxValue": "step1[4]", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain-eu"], "correctAnswerStyle": "plain-eu"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": true, "customName": "Schritt 2", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [{"label": "Weiter zu Schritt 3", "rawLabel": "Weiter zu Schritt 3", "otherPart": 3, "variableReplacements": [], "availabilityCondition": "", "penalty": "", "penaltyAmount": 0, "lockAfterLeaving": false}], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Das Zwischenergebnis nach dem ersten Schritt lautet:

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
\n

{step1[0]}

\n
\n

{step1[1]}

\n
\n

{step1[2]}

\n
\n

{step1[3]}

\n
\n

{step1[4]}

\n
\n

{digits3[0]}

\n
\n

{digits3[1]}

\n
\n

{digits3[2]}

\n
\n

{digits3[3]}

\n
\n

Geben Sie unten das Zwischenergebnis nach dem zweiten Schritt ein (in jede Lücke darf nur eine Ziffer)!\u200b

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
[[0]][[1]][[2]][[3]][[4]]
\n

{digits3[0]}

\n
\n

{digits3[1]}

\n
\n

{digits3[2]}

\n
\n

{digits3[3]}

\n
", "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "ZT", "marks": "0.2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": "Schritt 2", "minValue": "step2[0]", "maxValue": "step2[0]", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain-eu"], "correctAnswerStyle": "plain-eu"}, {"type": "numberentry", "useCustomName": true, "customName": "T", "marks": "0.2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": "Schritt 2", "minValue": "step2[1]", "maxValue": "step2[1]", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain-eu"], "correctAnswerStyle": "plain-eu"}, {"type": "numberentry", "useCustomName": true, "customName": "H", "marks": "0.2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": "Schritt 2", "minValue": "step2[2]", "maxValue": "step2[2]", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain-eu"], "correctAnswerStyle": "plain-eu"}, {"type": "numberentry", "useCustomName": true, "customName": "Z", "marks": "0.2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": "Schritt 2", "minValue": "step2[3]", "maxValue": "step2[3]", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain-eu"], "correctAnswerStyle": "plain-eu"}, {"type": "numberentry", "useCustomName": true, "customName": "E", "marks": "0.2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": "Schritt 2", "minValue": "step2[4]", "maxValue": "step2[4]", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain-eu"], "correctAnswerStyle": "plain-eu"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": true, "customName": "Schritt 3", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [{"label": "Weiter zu Schritt 4", "rawLabel": "Weiter zu Schritt 4", "otherPart": 4, "variableReplacements": [], "availabilityCondition": "", "penalty": "", "penaltyAmount": 0, "lockAfterLeaving": false}], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Das Zwischenergebnis nach dem zweiten Schritt lautet:

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
\n

{step2[0]}

\n
\n

{step2[1]}

\n
\n

{step2[2]}

\n
\n

{step2[3]}

\n
\n

{step2[4]}

\n
\n

{digits3[0]}

\n
\n

{digits3[1]}

\n
\n

{digits3[2]}

\n
\n

{digits3[3]}

\n
\n

Geben Sie unten das Zwischenergebnis nach dem dritten Schritt ein (in jede Lücke darf nur eine Ziffer)!\u200b

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
[[0]][[1]][[2]][[3]][[4]]
\n

{digits3[0]}

\n
\n

{digits3[1]}

\n
\n

{digits3[2]}

\n
\n

{digits3[3]}

\n
", "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "ZT", "marks": "0.2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": "Schritt 3", "minValue": "step3[0]", "maxValue": "step3[0]", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain-eu"], "correctAnswerStyle": "plain-eu"}, {"type": "numberentry", "useCustomName": true, "customName": "T", "marks": "0.2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": "Schritt 3", "minValue": "step3[1]", "maxValue": "step3[1]", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain-eu"], "correctAnswerStyle": "plain-eu"}, {"type": "numberentry", "useCustomName": true, "customName": "H", "marks": "0.2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": "Schritt 3", "minValue": "step3[2]", "maxValue": "step3[2]", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain-eu"], "correctAnswerStyle": "plain-eu"}, {"type": "numberentry", "useCustomName": true, "customName": "Z", "marks": "0.2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": "Schritt 3", "minValue": "step3[3]", "maxValue": "step3[3]", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain-eu"], "correctAnswerStyle": "plain-eu"}, {"type": "numberentry", "useCustomName": true, "customName": "E", "marks": "0.2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": "Schritt 3", "minValue": "step3[4]", "maxValue": "step3[4]", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain-eu"], "correctAnswerStyle": "plain-eu"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": true, "customName": "Schritt 4", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Das Zwischenergebnis nach dem dritten Schritt lautet:

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
\n

{step3[0]}

\n
\n

{step3[1]}

\n
\n

{step3[2]}

\n
\n

{step3[3]}

\n
\n

{step3[4]}

\n
\n

{digits3[0]}

\n
\n

{digits3[1]}

\n
\n

{digits3[2]}

\n
\n

{digits3[3]}

\n
\n

Geben Sie unten das Endergebnis nach dem vierten Schritt ein (in jede Lücke darf nur eine Ziffer)!\u200b

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
[[0]][[1]][[2]][[3]][[4]]
\n

{digits3[0]}

\n
\n

{digits3[1]}

\n
\n

{digits3[2]}

\n
\n

{digits3[3]}

\n
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