Visual edit in Lovable

Edited UI in Lovable
This commit is contained in:
gpt-engineer-app[bot] 2026-01-21 16:02:29 +00:00
parent f7db939d49
commit 8894b03926

View file

@ -8,11 +8,9 @@ import { Tabs, TabsContent, TabsList, TabsTrigger } from '@/components/ui/tabs';
import { Play, Pause, RotateCcw, SkipForward, FastForward, Info, ExternalLink, BarChart3 } from 'lucide-react'; import { Play, Pause, RotateCcw, SkipForward, FastForward, Info, ExternalLink, BarChart3 } from 'lucide-react';
import { BarChart, Bar, XAxis, YAxis, CartesianGrid, Tooltip, ResponsiveContainer, ReferenceLine, Cell } from 'recharts'; import { BarChart, Bar, XAxis, YAxis, CartesianGrid, Tooltip, ResponsiveContainer, ReferenceLine, Cell } from 'recharts';
import SocialShare from '@/components/SocialShare'; import SocialShare from '@/components/SocialShare';
interface LadybugClockPuzzleProps { interface LadybugClockPuzzleProps {
showSocialShare?: boolean; showSocialShare?: boolean;
} }
interface SimulationState { interface SimulationState {
position: number; // 0-11 (0 = 12 o'clock, 1 = 1 o'clock, etc.) position: number; // 0-11 (0 = 12 o'clock, 1 = 1 o'clock, etc.)
visited: Set<number>; visited: Set<number>;
@ -21,10 +19,10 @@ interface SimulationState {
isComplete: boolean; isComplete: boolean;
moveCount: number; moveCount: number;
} }
const CLOCK_NUMBERS = [12, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]; const CLOCK_NUMBERS = [12, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11];
const LadybugClockPuzzle: React.FC<LadybugClockPuzzleProps> = ({
const LadybugClockPuzzle: React.FC<LadybugClockPuzzleProps> = ({ showSocialShare = true }) => { showSocialShare = true
}) => {
// Simulation state // Simulation state
const [simulation, setSimulation] = useState<SimulationState>({ const [simulation, setSimulation] = useState<SimulationState>({
position: 0, position: 0,
@ -53,14 +51,13 @@ const LadybugClockPuzzle: React.FC<LadybugClockPuzzleProps> = ({ showSocialShare
// Refs // Refs
const animationRef = useRef<number | null>(null); const animationRef = useRef<number | null>(null);
const isPlayingRef = useRef(isPlaying); const isPlayingRef = useRef(isPlaying);
useEffect(() => { useEffect(() => {
isPlayingRef.current = isPlaying; isPlayingRef.current = isPlaying;
}, [isPlaying]); }, [isPlaying]);
// Get delay from speed (inverse relationship) // Get delay from speed (inverse relationship)
const getDelay = useCallback(() => { const getDelay = useCallback(() => {
return Math.max(50, 1000 - (speed * 9)); return Math.max(50, 1000 - speed * 9);
}, [speed]); }, [speed]);
// Reset simulation // Reset simulation
@ -87,14 +84,11 @@ const LadybugClockPuzzle: React.FC<LadybugClockPuzzleProps> = ({ showSocialShare
// Random move: clockwise or counterclockwise // Random move: clockwise or counterclockwise
const direction = Math.random() < 0.5 ? 1 : -1; const direction = Math.random() < 0.5 ? 1 : -1;
const newPosition = ((prev.position + direction) % numPositions + numPositions) % numPositions; const newPosition = ((prev.position + direction) % numPositions + numPositions) % numPositions;
const newVisited = new Set(prev.visited); const newVisited = new Set(prev.visited);
const wasNewlyPainted = !newVisited.has(newPosition); const wasNewlyPainted = !newVisited.has(newPosition);
newVisited.add(newPosition); newVisited.add(newPosition);
const isNowComplete = newVisited.size === numPositions; const isNowComplete = newVisited.size === numPositions;
const lastPainted = isNowComplete && wasNewlyPainted ? newPosition : prev.lastPainted; const lastPainted = isNowComplete && wasNewlyPainted ? newPosition : prev.lastPainted;
return { return {
position: newPosition, position: newPosition,
visited: newVisited, visited: newVisited,
@ -111,13 +105,11 @@ const LadybugClockPuzzle: React.FC<LadybugClockPuzzleProps> = ({ showSocialShare
if (!isPlaying || simulation.isComplete) { if (!isPlaying || simulation.isComplete) {
return; return;
} }
const timeoutId = setTimeout(() => { const timeoutId = setTimeout(() => {
if (isPlayingRef.current && !simulation.isComplete) { if (isPlayingRef.current && !simulation.isComplete) {
step(); step();
} }
}, getDelay()); }, getDelay());
return () => clearTimeout(timeoutId); return () => clearTimeout(timeoutId);
}, [isPlaying, simulation, step, getDelay]); }, [isPlaying, simulation, step, getDelay]);
@ -134,44 +126,40 @@ const LadybugClockPuzzle: React.FC<LadybugClockPuzzleProps> = ({ showSocialShare
const visited = new Set([0]); const visited = new Set([0]);
let moveCount = 0; let moveCount = 0;
let lastPainted = 0; let lastPainted = 0;
while (visited.size < numPositions) { while (visited.size < numPositions) {
const direction = Math.random() < 0.5 ? 1 : -1; const direction = Math.random() < 0.5 ? 1 : -1;
position = ((position + direction) % numPositions + numPositions) % numPositions; position = ((position + direction) % numPositions + numPositions) % numPositions;
if (!visited.has(position)) { if (!visited.has(position)) {
lastPainted = position; lastPainted = position;
visited.add(position); visited.add(position);
} }
moveCount++; moveCount++;
} }
return {
return { lastPainted, moveCount }; lastPainted,
moveCount
};
}, [numPositions]); }, [numPositions]);
// Run to completion // Run to completion
const runToCompletion = useCallback(() => { const runToCompletion = useCallback(() => {
setIsPlaying(false); setIsPlaying(false);
let currentSim = simulation; let currentSim = simulation;
let position = currentSim.position; let position = currentSim.position;
const visited = new Set(currentSim.visited); const visited = new Set(currentSim.visited);
let moveCount = currentSim.moveCount; let moveCount = currentSim.moveCount;
let lastPainted = currentSim.lastPainted; let lastPainted = currentSim.lastPainted;
const path = [...currentSim.path]; const path = [...currentSim.path];
while (visited.size < numPositions) { while (visited.size < numPositions) {
const direction = Math.random() < 0.5 ? 1 : -1; const direction = Math.random() < 0.5 ? 1 : -1;
position = ((position + direction) % numPositions + numPositions) % numPositions; position = ((position + direction) % numPositions + numPositions) % numPositions;
path.push(position); path.push(position);
if (!visited.has(position)) { if (!visited.has(position)) {
lastPainted = position; lastPainted = position;
visited.add(position); visited.add(position);
} }
moveCount++; moveCount++;
} }
setSimulation({ setSimulation({
position, position,
visited, visited,
@ -184,15 +172,15 @@ const LadybugClockPuzzle: React.FC<LadybugClockPuzzleProps> = ({ showSocialShare
// Run batch simulations // Run batch simulations
const runBatchSimulations = useCallback((count: number) => { const runBatchSimulations = useCallback((count: number) => {
const newCounts = { ...lastPaintedCounts }; const newCounts = {
...lastPaintedCounts
};
let batchMoves = 0; let batchMoves = 0;
for (let i = 0; i < count; i++) { for (let i = 0; i < count; i++) {
const result = runInstantSimulation(); const result = runInstantSimulation();
newCounts[result.lastPainted] = (newCounts[result.lastPainted] || 0) + 1; newCounts[result.lastPainted] = (newCounts[result.lastPainted] || 0) + 1;
batchMoves += result.moveCount; batchMoves += result.moveCount;
} }
setLastPaintedCounts(newCounts); setLastPaintedCounts(newCounts);
setTotalSimulations(prev => prev + count); setTotalSimulations(prev => prev + count);
setTotalMoves(prev => prev + batchMoves); setTotalMoves(prev => prev + batchMoves);
@ -225,7 +213,7 @@ const LadybugClockPuzzle: React.FC<LadybugClockPuzzleProps> = ({ showSocialShare
// Calculate clock position for a given index // Calculate clock position for a given index
const getClockPosition = (index: number, radius: number) => { const getClockPosition = (index: number, radius: number) => {
const angle = (index / numPositions) * 2 * Math.PI - Math.PI / 2; const angle = index / numPositions * 2 * Math.PI - Math.PI / 2;
return { return {
x: Math.cos(angle) * radius, x: Math.cos(angle) * radius,
y: Math.sin(angle) * radius y: Math.sin(angle) * radius
@ -233,10 +221,12 @@ const LadybugClockPuzzle: React.FC<LadybugClockPuzzleProps> = ({ showSocialShare
}; };
// Prepare chart data // Prepare chart data
const chartData = Array.from({ length: numPositions - 1 }, (_, i) => { const chartData = Array.from({
length: numPositions - 1
}, (_, i) => {
const pos = i + 1; // 1 to n-1 (0/12 can't be last) const pos = i + 1; // 1 to n-1 (0/12 can't be last)
const count = lastPaintedCounts[pos] || 0; const count = lastPaintedCounts[pos] || 0;
const percentage = totalSimulations > 0 ? (count / totalSimulations) * 100 : 0; const percentage = totalSimulations > 0 ? count / totalSimulations * 100 : 0;
return { return {
position: positionToNumber(pos), position: positionToNumber(pos),
count, count,
@ -244,15 +234,9 @@ const LadybugClockPuzzle: React.FC<LadybugClockPuzzleProps> = ({ showSocialShare
label: `${positionToNumber(pos)}` label: `${positionToNumber(pos)}`
}; };
}); });
const theoreticalProbability = 100 / (numPositions - 1); const theoreticalProbability = 100 / (numPositions - 1);
const shareUrl = typeof window !== 'undefined' ? `${window.location.origin}/puzzles/ladybug-clock` : '';
const shareUrl = typeof window !== 'undefined' return <div className="w-full max-w-6xl mx-auto px-4 space-y-6">
? `${window.location.origin}/puzzles/ladybug-clock`
: '';
return (
<div className="w-full max-w-6xl mx-auto px-4 space-y-6">
{/* Header */} {/* Header */}
<div className="text-center space-y-2"> <div className="text-center space-y-2">
<h1 className="text-3xl font-bold text-foreground">The Ladybug Clock Puzzle</h1> <h1 className="text-3xl font-bold text-foreground">The Ladybug Clock Puzzle</h1>
@ -272,71 +256,34 @@ const LadybugClockPuzzle: React.FC<LadybugClockPuzzleProps> = ({ showSocialShare
<circle cx="0" cy="0" r="120" fill="none" stroke="#3d3d5c" strokeWidth="1" strokeDasharray="4 4" /> <circle cx="0" cy="0" r="120" fill="none" stroke="#3d3d5c" strokeWidth="1" strokeDasharray="4 4" />
{/* Hour markers and numbers */} {/* Hour markers and numbers */}
{Array.from({ length: numPositions }, (_, i) => { {Array.from({
const pos = getClockPosition(i, 100); length: numPositions
const isPainted = simulation.visited.has(i); }, (_, i) => {
const isLast = simulation.isComplete && simulation.lastPainted === i; const pos = getClockPosition(i, 100);
const isCurrent = simulation.position === i; const isPainted = simulation.visited.has(i);
const isLast = simulation.isComplete && simulation.lastPainted === i;
return ( const isCurrent = simulation.position === i;
<g key={i}> return <g key={i}>
{/* Tick mark */} {/* Tick mark */}
<line <line x1={getClockPosition(i, 115).x} y1={getClockPosition(i, 115).y} x2={getClockPosition(i, 125).x} y2={getClockPosition(i, 125).y} stroke={isPainted ? '#f59e0b' : '#6b7280'} strokeWidth="2" />
x1={getClockPosition(i, 115).x}
y1={getClockPosition(i, 115).y}
x2={getClockPosition(i, 125).x}
y2={getClockPosition(i, 125).y}
stroke={isPainted ? '#f59e0b' : '#6b7280'}
strokeWidth="2"
/>
{/* Number circle background */} {/* Number circle background */}
<circle <circle cx={pos.x} cy={pos.y} r="20" fill={isLast ? '#ef4444' : isPainted ? '#f59e0b' : '#374151'} className="transition-all duration-300" />
cx={pos.x}
cy={pos.y}
r="20"
fill={isLast ? '#ef4444' : isPainted ? '#f59e0b' : '#374151'}
className="transition-all duration-300"
/>
{/* Glow effect for newly painted or last */} {/* Glow effect for newly painted or last */}
{(isPainted || isLast) && ( {(isPainted || isLast) && <circle cx={pos.x} cy={pos.y} r="24" fill="none" stroke={isLast ? '#ef4444' : '#f59e0b'} strokeWidth="2" opacity="0.5" />}
<circle
cx={pos.x}
cy={pos.y}
r="24"
fill="none"
stroke={isLast ? '#ef4444' : '#f59e0b'}
strokeWidth="2"
opacity="0.5"
/>
)}
{/* Number text */} {/* Number text */}
<text <text x={pos.x} y={pos.y} textAnchor="middle" dominantBaseline="central" fill={isPainted ? '#1a1a2e' : '#d1d5db'} fontSize="14" fontWeight="bold" className="select-none">
x={pos.x}
y={pos.y}
textAnchor="middle"
dominantBaseline="central"
fill={isPainted ? '#1a1a2e' : '#d1d5db'}
fontSize="14"
fontWeight="bold"
className="select-none"
>
{positionToNumber(i)} {positionToNumber(i)}
</text> </text>
</g> </g>;
); })}
})}
{/* Ladybug */} {/* Ladybug */}
{(() => { {(() => {
const ladybugPos = getClockPosition(simulation.position, 100); const ladybugPos = getClockPosition(simulation.position, 100);
return ( return <g transform={`translate(${ladybugPos.x}, ${ladybugPos.y})`} className="transition-transform duration-200">
<g
transform={`translate(${ladybugPos.x}, ${ladybugPos.y})`}
className="transition-transform duration-200"
>
{/* Ladybug body */} {/* Ladybug body */}
<ellipse cx="0" cy="-30" rx="12" ry="15" fill="#dc2626" /> <ellipse cx="0" cy="-30" rx="12" ry="15" fill="#dc2626" />
{/* Head */} {/* Head */}
@ -351,9 +298,8 @@ const LadybugClockPuzzle: React.FC<LadybugClockPuzzleProps> = ({ showSocialShare
{/* Antennae */} {/* Antennae */}
<line x1="-3" y1="-52" x2="-6" y2="-58" stroke="#1f2937" strokeWidth="1.5" /> <line x1="-3" y1="-52" x2="-6" y2="-58" stroke="#1f2937" strokeWidth="1.5" />
<line x1="3" y1="-52" x2="6" y2="-58" stroke="#1f2937" strokeWidth="1.5" /> <line x1="3" y1="-52" x2="6" y2="-58" stroke="#1f2937" strokeWidth="1.5" />
</g> </g>;
); })()}
})()}
{/* Center decoration */} {/* Center decoration */}
<circle cx="0" cy="0" r="8" fill="#4a4a6a" /> <circle cx="0" cy="0" r="8" fill="#4a4a6a" />
@ -374,13 +320,11 @@ const LadybugClockPuzzle: React.FC<LadybugClockPuzzleProps> = ({ showSocialShare
</Badge> </Badge>
</div> </div>
{simulation.isComplete && simulation.lastPainted !== null && ( {simulation.isComplete && simulation.lastPainted !== null && <div className="p-3 bg-red-500/20 border border-red-500/50 rounded-lg">
<div className="p-3 bg-red-500/20 border border-red-500/50 rounded-lg">
<p className="text-red-400 font-semibold"> <p className="text-red-400 font-semibold">
🎉 Complete! Last painted: <span className="text-red-300 text-lg">{positionToNumber(simulation.lastPainted)}</span> 🎉 Complete! Last painted: <span className="text-red-300 text-lg">{positionToNumber(simulation.lastPainted)}</span>
</p> </p>
</div> </div>}
)}
</div> </div>
</CardContent> </CardContent>
</Card> </Card>
@ -394,32 +338,17 @@ const LadybugClockPuzzle: React.FC<LadybugClockPuzzleProps> = ({ showSocialShare
</CardHeader> </CardHeader>
<CardContent className="space-y-4"> <CardContent className="space-y-4">
<div className="flex flex-wrap gap-2"> <div className="flex flex-wrap gap-2">
<Button <Button onClick={() => setIsPlaying(!isPlaying)} disabled={simulation.isComplete} variant={isPlaying ? "destructive" : "default"} size="sm">
onClick={() => setIsPlaying(!isPlaying)}
disabled={simulation.isComplete}
variant={isPlaying ? "destructive" : "default"}
size="sm"
>
{isPlaying ? <Pause className="w-4 h-4 mr-1" /> : <Play className="w-4 h-4 mr-1" />} {isPlaying ? <Pause className="w-4 h-4 mr-1" /> : <Play className="w-4 h-4 mr-1" />}
{isPlaying ? 'Pause' : 'Play'} {isPlaying ? 'Pause' : 'Play'}
</Button> </Button>
<Button <Button onClick={step} disabled={simulation.isComplete || isPlaying} variant="outline" size="sm">
onClick={step}
disabled={simulation.isComplete || isPlaying}
variant="outline"
size="sm"
>
<SkipForward className="w-4 h-4 mr-1" /> <SkipForward className="w-4 h-4 mr-1" />
Step Step
</Button> </Button>
<Button <Button onClick={runToCompletion} disabled={simulation.isComplete} variant="outline" size="sm">
onClick={runToCompletion}
disabled={simulation.isComplete}
variant="outline"
size="sm"
>
<FastForward className="w-4 h-4 mr-1" /> <FastForward className="w-4 h-4 mr-1" />
Complete Complete
</Button> </Button>
@ -432,26 +361,12 @@ const LadybugClockPuzzle: React.FC<LadybugClockPuzzleProps> = ({ showSocialShare
<div className="space-y-2"> <div className="space-y-2">
<label className="text-sm text-muted-foreground">Animation Speed</label> <label className="text-sm text-muted-foreground">Animation Speed</label>
<Slider <Slider value={[speed]} onValueChange={v => setSpeed(v[0])} min={1} max={100} step={1} className="w-full" />
value={[speed]}
onValueChange={(v) => setSpeed(v[0])}
min={1}
max={100}
step={1}
className="w-full"
/>
</div> </div>
<div className="space-y-2"> <div className="space-y-2">
<label className="text-sm text-muted-foreground">Number of Positions: {numPositions}</label> <label className="text-sm text-muted-foreground">Number of Positions: {numPositions}</label>
<Slider <Slider value={[numPositions]} onValueChange={v => setNumPositions(v[0])} min={4} max={24} step={2} className="w-full" />
value={[numPositions]}
onValueChange={(v) => setNumPositions(v[0])}
min={4}
max={24}
step={2}
className="w-full"
/>
</div> </div>
</CardContent> </CardContent>
</Card> </Card>
@ -466,16 +381,9 @@ const LadybugClockPuzzle: React.FC<LadybugClockPuzzleProps> = ({ showSocialShare
</CardHeader> </CardHeader>
<CardContent className="space-y-4"> <CardContent className="space-y-4">
<div className="flex flex-wrap gap-2"> <div className="flex flex-wrap gap-2">
{[100, 1000, 10000].map(count => ( {[100, 1000, 10000].map(count => <Button key={count} onClick={() => runBatchSimulations(count)} variant="outline" size="sm">
<Button
key={count}
onClick={() => runBatchSimulations(count)}
variant="outline"
size="sm"
>
Run {count.toLocaleString()} Run {count.toLocaleString()}
</Button> </Button>)}
))}
<Button onClick={clearStats} variant="ghost" size="sm"> <Button onClick={clearStats} variant="ghost" size="sm">
Clear Stats Clear Stats
</Button> </Button>
@ -485,18 +393,15 @@ const LadybugClockPuzzle: React.FC<LadybugClockPuzzleProps> = ({ showSocialShare
<p className="text-muted-foreground"> <p className="text-muted-foreground">
Total simulations: <span className="text-foreground font-medium">{totalSimulations.toLocaleString()}</span> Total simulations: <span className="text-foreground font-medium">{totalSimulations.toLocaleString()}</span>
</p> </p>
{totalSimulations > 0 && ( {totalSimulations > 0 && <p className="text-muted-foreground">
<p className="text-muted-foreground">
Average moves to complete: <span className="text-foreground font-medium">{averageMoves.toFixed(1)}</span> Average moves to complete: <span className="text-foreground font-medium">{averageMoves.toFixed(1)}</span>
</p> </p>}
)}
</div> </div>
</CardContent> </CardContent>
</Card> </Card>
{/* User Prediction */} {/* User Prediction */}
{totalSimulations === 0 && ( {totalSimulations === 0 && <Card className="border-primary/50 bg-primary/5">
<Card className="border-primary/50 bg-primary/5">
<CardHeader className="pb-3"> <CardHeader className="pb-3">
<CardTitle className="text-lg">Make a Prediction! 🤔</CardTitle> <CardTitle className="text-lg">Make a Prediction! 🤔</CardTitle>
</CardHeader> </CardHeader>
@ -505,32 +410,22 @@ const LadybugClockPuzzle: React.FC<LadybugClockPuzzleProps> = ({ showSocialShare
Which number do you think is most likely to be painted last? Which number do you think is most likely to be painted last?
</p> </p>
<div className="flex flex-wrap gap-2"> <div className="flex flex-wrap gap-2">
{Array.from({ length: numPositions - 1 }, (_, i) => i + 1).map(pos => ( {Array.from({
<Button length: numPositions - 1
key={pos} }, (_, i) => i + 1).map(pos => <Button key={pos} onClick={() => setUserPrediction(pos)} variant={userPrediction === pos ? "default" : "outline"} size="sm" className="w-10 h-10">
onClick={() => setUserPrediction(pos)}
variant={userPrediction === pos ? "default" : "outline"}
size="sm"
className="w-10 h-10"
>
{positionToNumber(pos)} {positionToNumber(pos)}
</Button> </Button>)}
))}
</div> </div>
{userPrediction !== null && ( {userPrediction !== null && <p className="mt-3 text-sm text-primary">
<p className="mt-3 text-sm text-primary">
You predicted: <strong>{positionToNumber(userPrediction)}</strong>. Run some simulations to see! You predicted: <strong>{positionToNumber(userPrediction)}</strong>. Run some simulations to see!
</p> </p>}
)}
</CardContent> </CardContent>
</Card> </Card>}
)}
</div> </div>
</div> </div>
{/* Statistics Chart */} {/* Statistics Chart */}
{totalSimulations > 0 && ( {totalSimulations > 0 && <Card>
<Card>
<CardHeader> <CardHeader>
<CardTitle className="flex items-center gap-2"> <CardTitle className="flex items-center gap-2">
Statistics: Which number was painted last? Statistics: Which number was painted last?
@ -540,52 +435,42 @@ const LadybugClockPuzzle: React.FC<LadybugClockPuzzleProps> = ({ showSocialShare
<CardContent> <CardContent>
<div className="h-64"> <div className="h-64">
<ResponsiveContainer width="100%" height="100%"> <ResponsiveContainer width="100%" height="100%">
<BarChart data={chartData} margin={{ top: 20, right: 30, left: 20, bottom: 5 }}> <BarChart data={chartData} margin={{
top: 20,
right: 30,
left: 20,
bottom: 5
}}>
<CartesianGrid strokeDasharray="3 3" stroke="#374151" /> <CartesianGrid strokeDasharray="3 3" stroke="#374151" />
<XAxis dataKey="label" stroke="#9ca3af" /> <XAxis dataKey="label" stroke="#9ca3af" />
<YAxis <YAxis stroke="#9ca3af" tickFormatter={v => `${v.toFixed(1)}%`} domain={[0, Math.max(theoreticalProbability * 1.5, 15)]} />
stroke="#9ca3af" <Tooltip contentStyle={{
tickFormatter={(v) => `${v.toFixed(1)}%`} backgroundColor: '#1f2937',
domain={[0, Math.max(theoreticalProbability * 1.5, 15)]} border: '1px solid #374151'
/> }} labelStyle={{
<Tooltip color: '#f3f4f6'
contentStyle={{ backgroundColor: '#1f2937', border: '1px solid #374151' }} }} formatter={(value: number) => [`${value.toFixed(2)}%`, 'Probability']} />
labelStyle={{ color: '#f3f4f6' }} <ReferenceLine y={theoreticalProbability} stroke="#22c55e" strokeDasharray="5 5" label={{
formatter={(value: number) => [`${value.toFixed(2)}%`, 'Probability']} value: `Theory: ${theoreticalProbability.toFixed(2)}%`,
/> fill: '#22c55e',
<ReferenceLine fontSize: 12,
y={theoreticalProbability} position: 'right'
stroke="#22c55e" }} />
strokeDasharray="5 5"
label={{
value: `Theory: ${theoreticalProbability.toFixed(2)}%`,
fill: '#22c55e',
fontSize: 12,
position: 'right'
}}
/>
<Bar dataKey="percentage" radius={[4, 4, 0, 0]}> <Bar dataKey="percentage" radius={[4, 4, 0, 0]}>
{chartData.map((entry, index) => ( {chartData.map((entry, index) => <Cell key={`cell-${index}`} fill={userPrediction === index + 1 ? '#8b5cf6' : '#f59e0b'} />)}
<Cell
key={`cell-${index}`}
fill={userPrediction === index + 1 ? '#8b5cf6' : '#f59e0b'}
/>
))}
</Bar> </Bar>
</BarChart> </BarChart>
</ResponsiveContainer> </ResponsiveContainer>
</div> </div>
{userPrediction !== null && ( {userPrediction !== null && <div className="mt-4 p-3 bg-purple-500/10 border border-purple-500/30 rounded-lg">
<div className="mt-4 p-3 bg-purple-500/10 border border-purple-500/30 rounded-lg">
<p className="text-sm"> <p className="text-sm">
<strong className="text-purple-400">Your prediction ({positionToNumber(userPrediction)}):</strong>{' '} <strong className="text-purple-400">Your prediction ({positionToNumber(userPrediction)}):</strong>{' '}
{((lastPaintedCounts[userPrediction] || 0) / totalSimulations * 100).toFixed(2)}% {((lastPaintedCounts[userPrediction] || 0) / totalSimulations * 100).toFixed(2)}%
{' '} Theory predicts all numbers have equal probability of{' '} {' '} Theory predicts all numbers have equal probability of{' '}
<span className="text-green-400">{theoreticalProbability.toFixed(2)}%</span>! <span className="text-green-400">{theoreticalProbability.toFixed(2)}%</span>!
</p> </p>
</div> </div>}
)}
<div className="mt-4 p-3 bg-amber-500/10 border border-amber-500/30 rounded-lg"> <div className="mt-4 p-3 bg-amber-500/10 border border-amber-500/30 rounded-lg">
<p className="text-sm text-amber-200"> <p className="text-sm text-amber-200">
@ -594,34 +479,21 @@ const LadybugClockPuzzle: React.FC<LadybugClockPuzzleProps> = ({ showSocialShare
</p> </p>
</div> </div>
</CardContent> </CardContent>
</Card> </Card>}
)}
{/* Path History */} {/* Path History */}
{simulation.path.length > 1 && ( {simulation.path.length > 1 && <Card>
<Card>
<CardHeader className="pb-3"> <CardHeader className="pb-3">
<CardTitle className="text-lg">Path History</CardTitle> <CardTitle className="text-lg">Path History</CardTitle>
</CardHeader> </CardHeader>
<CardContent> <CardContent>
<div className="flex flex-wrap gap-1 max-h-32 overflow-y-auto"> <div className="flex flex-wrap gap-1 max-h-32 overflow-y-auto">
{simulation.path.map((pos, i) => ( {simulation.path.map((pos, i) => <Badge key={i} variant={i === 0 ? "default" : "outline"} className={`${simulation.isComplete && i === simulation.path.length - 1 ? 'bg-red-500 text-white' : ''}`}>
<Badge
key={i}
variant={i === 0 ? "default" : "outline"}
className={`${
simulation.isComplete && i === simulation.path.length - 1
? 'bg-red-500 text-white'
: ''
}`}
>
{positionToNumber(pos)} {positionToNumber(pos)}
</Badge> </Badge>)}
))}
</div> </div>
</CardContent> </CardContent>
</Card> </Card>}
)}
{/* Educational Info */} {/* Educational Info */}
<Card> <Card>
@ -641,19 +513,14 @@ const LadybugClockPuzzle: React.FC<LadybugClockPuzzleProps> = ({ showSocialShare
<li>The simulation ends when all numbers have been visited at least once</li> <li>The simulation ends when all numbers have been visited at least once</li>
</ul> </ul>
<h4 className="text-foreground">The Surprising Result</h4>
<p className="text-muted-foreground">
Intuitively, you might expect the number 6 (opposite to 12) to be the most likely to be painted last,
since it's the farthest from the starting point. However, the probability is exactly <strong>1/{numPositions - 1}</strong> for
every number from 1 to {numPositions - 1}! This is because once all but one number is painted, the random walk
will eventually reach that last number, regardless of where it is.
</p>
<h4 className="text-foreground">Mathematical Connections</h4>
<ul className="text-muted-foreground"> <ul className="text-muted-foreground">
<li><strong>Random Walks on Cycles:</strong> This is an example of a random walk on a cycle graph</li>
<li><strong>Cover Time:</strong> The number of moves to visit all vertices is called the "cover time"</li>
<li><strong>Gambler's Ruin:</strong> Related to the classic probability problem of a gambler with a finite amount</li>
</ul> </ul>
</div> </div>
</CardContent> </CardContent>
@ -675,15 +542,7 @@ const LadybugClockPuzzle: React.FC<LadybugClockPuzzleProps> = ({ showSocialShare
</CardContent> </CardContent>
</Card> </Card>
{showSocialShare && ( {showSocialShare && <SocialShare title="The Ladybug Clock Puzzle" description="Explore random walks on a clock face and discover why every number has the same probability of being painted last!" url={shareUrl} />}
<SocialShare </div>;
title="The Ladybug Clock Puzzle"
description="Explore random walks on a clock face and discover why every number has the same probability of being painted last!"
url={shareUrl}
/>
)}
</div>
);
}; };
export default LadybugClockPuzzle; export default LadybugClockPuzzle;