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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<title>LC 198: House Robber - Algorithm Visualization</title>
<link rel="stylesheet" href="styles.css">
<script src="https://d3js.org/d3.v7.min.js"></script>
</head>
<body>
<div class="container">
<div class="problem-info">
<h1><span class="problem-number">#198</span> House Robber</h1>
<p>You are a robber planning to rob houses along a street. Adjacent houses have connected security systems - if you rob two adjacent houses, the police will be alerted. What's the maximum amount you can rob?</p>
<div class="problem-meta">
<span class="meta-tag">📈 Dynamic Programming</span>
<span class="meta-tag">🏠 Array</span>
<span class="meta-tag">⏱️ O(n)</span>
<span class="meta-tag">💾 O(1)</span>
</div>
<div class="file-ref">
📄 Python: <code>python/0198_house_robber/0198_house_robber.py</code>
</div>
</div>
<div class="explanation-panel">
<h4>🧠 How It Works (Layman's Terms)</h4>
<p>At each house, you have a choice: <strong>rob it</strong> or <strong>skip it</strong>.</p>
<ul>
<li><strong>If you rob this house:</strong> You get its money + whatever you made from 2 houses back (you must skip the previous house)</li>
<li><strong>If you skip this house:</strong> You keep whatever you made from the previous house</li>
<li><strong>Decision:</strong> Pick whichever option gives you more money!</li>
<li><strong>Key insight:</strong> We only need to track 2 values (not the entire history)</li>
</ul>
</div>
<div class="visualization-section">
<h3>🎬 Step-by-Step Visualization</h3>
<div class="controls">
<button class="btn btn-primary" id="stepBtn" onclick="step()">Step</button>
<button class="btn btn-success" id="autoBtn" onclick="toggleAuto()">Auto Run</button>
<button class="btn btn-warning" onclick="reset()">Reset</button>
</div>
<div class="info-box secondary" style="margin-bottom: 20px;">
🏠 Houses with money: <strong>[2, 7, 9, 3, 1]</strong>
</div>
<div class="status-message" id="statusMessage">
Click "Step" or "Auto Run" to start visualization
</div>
<div class="array-section">
<div class="array-label">🏠 Houses (money in each):</div>
<div class="array-container" id="housesContainer"></div>
</div>
<div class="variable-section" style="margin: 20px 0; display: flex; gap: 30px; justify-content: center;">
<div class="variable">
<span class="var-name">rob1</span>
<span class="var-value" id="rob1Value">0</span>
<span class="var-desc">(max from 2 back)</span>
</div>
<div class="variable">
<span class="var-name">rob2</span>
<span class="var-value" id="rob2Value">0</span>
<span class="var-desc">(max from prev)</span>
</div>
<div class="variable">
<span class="var-name">temp</span>
<span class="var-value" id="tempValue">-</span>
<span class="var-desc">(new best)</span>
</div>
</div>
<div class="explanation-panel" style="margin-top: 20px;">
<h4>📝 Decision at Each House</h4>
<div id="decisionDisplay" style="font-size: 1.1em; padding: 10px;">
Waiting to start...
</div>
</div>
<div id="chartContainer" style="width: 100%; height: 250px; margin-top: 20px;"></div>
</div>
<div class="code-section">
<h3>💻 Python Solution</h3>
<div class="code-block">
<pre><span class="keyword">def</span> <span class="function">rob</span>(self, nums: <span class="class-name">list</span>[<span class="class-name">int</span>]) -> <span class="class-name">int</span>:
<span class="keyword">if</span> <span class="keyword">not</span> nums:
<span class="keyword">return</span> <span class="number">0</span>
<span class="keyword">if</span> <span class="function">len</span>(nums) == <span class="number">1</span>:
<span class="keyword">return</span> nums[<span class="number">0</span>]
rob1 = <span class="number">0</span> <span class="comment"># max money up to i-2</span>
rob2 = <span class="number">0</span> <span class="comment"># max money up to i-1</span>
<span class="keyword">for</span> num <span class="keyword">in</span> nums:
temp = <span class="function">max</span>(rob1 + num, rob2)
rob1 = rob2
rob2 = temp
<span class="keyword">return</span> rob2</pre>
</div>
</div>
</div>
<script>
const houses = [2, 7, 9, 3, 1];
let rob1 = 0;
let rob2 = 0;
let currentIndex = -1;
let autoInterval = null;
let history = [{rob1: 0, rob2: 0}];
let decisions = [];
function init() {
renderHouses();
renderChart();
}
function renderHouses() {
const container = document.getElementById('housesContainer');
container.innerHTML = '';
houses.forEach((value, i) => {
const box = document.createElement('div');
box.className = 'array-box';
box.id = `house-${i}`;
box.innerHTML = `$${value}<span class="index-label">🏠 ${i}</span>`;
box.style.background = '#f5f5f5';
if (i < currentIndex) {
const robbed = decisions[i];
box.style.background = robbed ? '#c8e6c9' : '#ffcdd2';
box.style.borderColor = robbed ? '#4caf50' : '#f44336';
}
if (i === currentIndex) {
box.classList.add('highlight');
}
container.appendChild(box);
});
}
function renderChart() {
d3.select('#chartContainer').selectAll('*').remove();
const margin = {top: 20, right: 30, bottom: 40, left: 50};
const width = document.getElementById('chartContainer').offsetWidth - margin.left - margin.right;
const height = 200 - margin.top - margin.bottom;
const svg = d3.select('#chartContainer')
.append('svg')
.attr('width', width + margin.left + margin.right)
.attr('height', height + margin.top + margin.bottom)
.append('g')
.attr('transform', `translate(${margin.left},${margin.top})`);
const maxVal = Math.max(12, d3.max(history, d => Math.max(d.rob1, d.rob2)));
const xScale = d3.scaleLinear()
.domain([0, Math.max(houses.length, history.length - 1)])
.range([0, width]);
const yScale = d3.scaleLinear()
.domain([0, maxVal])
.range([height, 0]);
// X axis
svg.append('g')
.attr('transform', `translate(0,${height})`)
.call(d3.axisBottom(xScale).ticks(houses.length));
// Y axis
svg.append('g')
.call(d3.axisLeft(yScale));
// Labels
svg.append('text')
.attr('x', width / 2)
.attr('y', height + 35)
.attr('text-anchor', 'middle')
.text('House Index');
// rob2 line (current max)
const rob2Line = d3.line()
.x((d, i) => xScale(i))
.y(d => yScale(d.rob2));
svg.append('path')
.datum(history)
.attr('fill', 'none')
.attr('stroke', '#4caf50')
.attr('stroke-width', 3)
.attr('d', rob2Line);
// rob1 line (previous max)
const rob1Line = d3.line()
.x((d, i) => xScale(i))
.y(d => yScale(d.rob1));
svg.append('path')
.datum(history)
.attr('fill', 'none')
.attr('stroke', '#2196f3')
.attr('stroke-width', 2)
.attr('stroke-dasharray', '5,5')
.attr('d', rob1Line);
// Legend
svg.append('circle').attr('cx', width - 100).attr('cy', 10).attr('r', 6).style('fill', '#4caf50');
svg.append('text').attr('x', width - 90).attr('y', 10).text('rob2 (current max)').style('font-size', '12px').attr('alignment-baseline', 'middle');
svg.append('circle').attr('cx', width - 100).attr('cy', 30).attr('r', 6).style('fill', '#2196f3');
svg.append('text').attr('x', width - 90).attr('y', 30).text('rob1 (2 back)').style('font-size', '12px').attr('alignment-baseline', 'middle');
}
function step() {
currentIndex++;
if (currentIndex >= houses.length) {
document.getElementById('statusMessage').className = 'status-message success';
document.getElementById('statusMessage').textContent =
`✅ Done! Maximum money that can be robbed: $${rob2}`;
document.getElementById('stepBtn').disabled = true;
stopAuto();
return;
}
const num = houses[currentIndex];
const option1 = rob1 + num; // rob this house
const option2 = rob2; // skip this house
const temp = Math.max(option1, option2);
const robbed = option1 > option2;
decisions.push(robbed);
document.getElementById('statusMessage').textContent =
`House ${currentIndex}: Rob ($${rob1} + $${num} = $${option1}) vs Skip ($${rob2})`;
document.getElementById('decisionDisplay').innerHTML =
`<strong>At House ${currentIndex} ($${num}):</strong><br>` +
`Option 1 (Rob): $${rob1} + $${num} = $${option1}<br>` +
`Option 2 (Skip): keep $${rob2}<br>` +
`<strong>Decision: ${robbed ? '✅ ROB' : '❌ SKIP'} → Max = $${temp}</strong>`;
document.getElementById('tempValue').textContent = temp;
// Update for next iteration
rob1 = rob2;
rob2 = temp;
document.getElementById('rob1Value').textContent = rob1;
document.getElementById('rob2Value').textContent = rob2;
history.push({rob1, rob2});
renderHouses();
renderChart();
}
function toggleAuto() {
if (autoInterval) {
stopAuto();
} else {
document.getElementById('autoBtn').textContent = 'Pause';
autoInterval = setInterval(() => {
if (currentIndex >= houses.length - 1) {
step();
stopAuto();
} else {
step();
}
}, 1500);
}
}
function stopAuto() {
if (autoInterval) {
clearInterval(autoInterval);
autoInterval = null;
}
document.getElementById('autoBtn').textContent = 'Auto Run';
}
function reset() {
stopAuto();
rob1 = 0;
rob2 = 0;
currentIndex = -1;
history = [{rob1: 0, rob2: 0}];
decisions = [];
document.getElementById('stepBtn').disabled = false;
document.getElementById('statusMessage').className = 'status-message';
document.getElementById('statusMessage').textContent = 'Click "Step" or "Auto Run" to start visualization';
document.getElementById('rob1Value').textContent = '0';
document.getElementById('rob2Value').textContent = '0';
document.getElementById('tempValue').textContent = '-';
document.getElementById('decisionDisplay').textContent = 'Waiting to start...';
init();
}
init();
</script>
</body>
</html>