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Analysiere vergangene Prüfungen und erhalte maßgeschneiderte Übungstests mit KI-Unterstützung.
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<span class="topic-item bg-blue-100 text-blue-800 text-lg">Grundlagen (32%)</span>
<span class="topic-item bg-blue-200 text-blue-900 text-xl">Algorithmen (28%)</span>
<span class="topic-item bg-blue-300 text-blue-900 text-lg">Datenstrukturen (24%)</span>
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<span class="topic-item bg-blue-100 text-blue-800">Rekursion (10%)</span>
<span class="topic-item bg-blue-50 text-blue-700 text-sm">Graphen (8%)</span>
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<h4 class="font-bold text-gray-700 mb-4">Schwierigkeitsgrad</h4>
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<p class="text-gray-500">[Kreisdiagramm der Schwierigkeitsgrade]</p>
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<td class="py-3 px-4">Algorithmen</td>
<td class="py-3 px-4">28%</td>
<td class="py-3 px-4">12/20</td>
<td class="py-3 px-4">Offen (60%), MC (30%), Berechnung (10%)</td>
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<td class="py-3 px-4">Datenstrukturen</td>
<td class="py-3 px-4">24%</td>
<td class="py-3 px-4">15/20</td>
<td class="py-3 px-4">MC (50%), Offen (40%), Diagramm (10%)</td>
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<td class="py-3 px-4">Grundlagen</td>
<td class="py-3 px-4">32%</td>
<td class="py-3 px-4">18/20</td>
<td class="py-3 px-4">MC (70%), Offen (30%)</td>
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Diese Prüfung wurde von unserer KI erstellt und deckt die wichtigsten Themen ab. Sie enthält eine Mischung aus verschiedenen Fragetypen mit einem vergleichbaren Schwierigkeitsgrad wie die Originalprüfungen.
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<h4 class="font-bold text-gray-800">Frage 1: Algorithmen (12 Punkte)</h4>
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Erläutern Sie den Unterschied zwischen Greedy-Algorithmen und dynamischer Programmierung. Nennen Sie jeweils ein Beispiel und beschreiben Sie, wann welche Methode bevorzugt wird.
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<p class="text-gray-700 mb-2"><strong>Greedy-Algorithmen:</strong> Lösen Probleme in Schritten, wobei jeder Schritt die lokal optimale Wahl trifft (z.B. Kruskals Algorithmus für minimale Spannbäume).</p>
<p class="text-gray-700 mb-2"><strong>Dynamische Programmierung:</strong> Löst Teilprobleme und speichert Ergebnisse für spätere Verwendung (z.B. Fibonacci-Zahlen).</p>
<p class="text-gray-700">Greedy ist einfacher aber nicht immer optimal. DP ist rechenintensiver aber garantiert optimale Lösungen.</p>
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Welche der folgenden Aussagen über Hash-Tabellen sind korrekt? (Mehrere Antworten möglich)
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<p class="text-gray-700">Korrekte Antworten: 1, 2, 4. Die Load-Factor kann je nach Implementierung höher sein, typischerweise wird bei 0.7-0.8 neu gehasht.</p>
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Gegeben ist folgender Algorithmus. Bestimmen Sie die Zeitkomplexität in O-Notation und begründen Sie Ihre Antwort:
<pre class="bg-gray-800 text-gray-100 p-3 rounded mt-2 overflow-x-auto">
function example(n) {
let sum = 0;
for (let i = 0; i < n; i++) {
for (let j = 0; j < i; j++) {
sum += i * j;
}
}
return sum;
}</pre>
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<p class="text-gray-700">Die Zeitkomplexität ist O(n²). Die äußere Schleife läuft n-mal. Die innere Schleife läuft im ersten Durchgang 0-mal, dann 1-mal, dann 2-mal usw. bis n-1-mal. Die Gesamtanzahl der Operationen ist daher 0 + 1 + 2 + ... + (n-1) = n(n-1)/2 ∈ O(n²).</p>
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if (solution.classList.contains('open')) {
icon.classList.remove('fa-chevron-down');
icon.classList.add('fa-chevron-up');
} else {
icon.classList.remove('fa-chevron-up');
icon.classList.add('fa-chevron-down');
}
});
}
// Functions
function handleFiles(newFiles) {
// Filter for PDFs and docs
const allowedTypes = ['application/pdf', 'application/msword', 'application/vnd.openxmlformats-officedocument.wordprocessingml.document'];
const filteredFiles = Array.from(newFiles).filter(file =>
allowedTypes.includes(file.type) || file.name.endsWith('.pdf') || file.name.endsWith('.doc') || file.name.endsWith('.docx')
);
if (filteredFiles.length < 3) {
alert('Bitte laden Sie mindestens 3 Prüfungen hoch (PDF oder Word bevorzugt).');
return;
}
files = filteredFiles;
updateFileList();
// Enable analyze button if we have at least 3 files
if (files.length >= 3) {
analyzeBtn.disabled = false;
}
}
function updateFileList() {
fileListItems.innerHTML = '';
files.forEach((file, index) => {
const listItem = document.createElement('li');
listItem.className = 'flex items-center justify-between bg-gray-100 p-3 rounded-lg';
const fileInfo = document.createElement('div');
fileInfo.className = 'flex items-center';
const icon = document.createElement('i');
if (file.type === 'application/pdf') {
icon.className = 'fas fa-file-pdf text-red-500 mr-2';
} else {
icon.className = 'fas fa-file-word text-blue-500 mr-2';
}
const fileName = document.createElement('span');
fileName.className = 'text-gray-700 truncate max-w-xs';
fileName.textContent = file.name;
const fileSize = document.createElement('span');
fileSize.className = 'text-gray-500 text-sm ml-2';
fileSize.textContent = `(${(file.size / 1024 / 1024).toFixed(2)} MB)`;
const removeBtn = document.createElement('button');
removeBtn.className = 'text-red-500 hover:text-red-700 ml-2';
removeBtn.innerHTML = '<i class="fas fa-times"></i>';
removeBtn.addEventListener('click', () => removeFile(index));
fileInfo.appendChild(icon);
fileInfo.appendChild(fileName);
fileInfo.appendChild(fileSize);
listItem.appendChild(fileInfo);
listItem.appendChild(removeBtn);
fileListItems.appendChild(listItem);
});
fileList.classList.remove('hidden');
}
function removeFile(index) {
files.splice(index, 1);
updateFileList();
if (files.length < 3) {
analyzeBtn.disabled = true;
}
}
function startAnalysis() {
uploadSection.classList.add('hidden');
progressSection.classList.remove('hidden');
progressSection.scrollIntoView({ behavior: 'smooth' });
// Simulate analysis progress
let progress = 0;
const interval = setInterval(() => {
progress += Math.random() * 10;
if (progress > 100) progress = 100;
progressBar.style.width = `${progress}%`;
progressPercent.textContent = `${Math.floor(progress)}%`;
// Update status messages
if (progress > 20) {
topicStatus.textContent = "In Bearbeitung...";
}
if (progress > 45) {
formatStatus.textContent = "In Bearbeitung...";
}
if (progress > 70) {
difficultyStatus.textContent = "In Bearbeitung...";
}
if (progress === 100) {
clearInterval(interval);
setTimeout(showResults, 1000);
}
}, 500);
}
function showResults() {
progressSection.classList.add('hidden');
resultsSection.classList.remove('hidden');
resultsSection.scrollIntoView({ behavior: 'smooth' });
}
function generateExam() {
resultsSection.classList.add('hidden');
generatedExamSection.classList.remove('hidden');
generatedExamSection.scrollIntoView({ behavior: 'smooth' });
}
});
</script>
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