Add ternary number representation
Implement a ternary number representation interactive, similar to the binary one, with powers of three and toggles for 0, 1, or 2 copies of each number, up to the seventh power of 3. Include a random number generator up to 3280.
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gpt-engineer-app[bot]
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2 changed files with 221 additions and 1 deletions
212
src/components/TernaryNumberGame.tsx
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212
src/components/TernaryNumberGame.tsx
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import React, { useState, useEffect, useCallback } from 'react';
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import { Button } from '@/components/ui/button';
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import { Card, CardContent } from '@/components/ui/card';
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import { Badge } from '@/components/ui/badge';
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import SocialShare from '@/components/SocialShare';
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const POWERS_OF_THREE = [2187, 729, 243, 81, 27, 9, 3, 1]; // 3^7 to 3^0
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interface TernaryNumberGameProps {
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showSocialShare?: boolean;
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}
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const TernaryNumberGame: React.FC<TernaryNumberGameProps> = ({ showSocialShare = true }) => {
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const [targetNumber, setTargetNumber] = useState<number>(0);
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const [cardValues, setCardValues] = useState<number[]>(new Array(8).fill(0)); // 0, 1, or 2 for each position
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const [currentSum, setCurrentSum] = useState<number>(0);
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const [timer, setTimer] = useState<number>(0);
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const [isGameActive, setIsGameActive] = useState<boolean>(false);
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const [isGameWon, setIsGameWon] = useState<boolean>(false);
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const [hasGameStarted, setHasGameStarted] = useState<boolean>(false);
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const [highScore, setHighScore] = useState<number | null>(null);
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// Load high score from localStorage on component mount
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useEffect(() => {
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const savedHighScore = localStorage.getItem('ternary-game-high-score');
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if (savedHighScore) {
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setHighScore(parseInt(savedHighScore));
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}
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}, []);
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// Generate a random number expressible with up to 8 ternary digits
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const generateRandomTarget = () => {
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// Generate random ternary digits (0, 1, or 2) for each position
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const ternaryDigits = Array.from({ length: 8 }, () => Math.floor(Math.random() * 3));
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// Convert to decimal
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return ternaryDigits.reduce((sum, digit, index) => sum + digit * POWERS_OF_THREE[index], 0);
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};
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// Start new game
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const startNewGame = useCallback(() => {
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const newTarget = generateRandomTarget();
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setTargetNumber(newTarget);
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setCardValues(new Array(8).fill(0));
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setCurrentSum(0);
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setTimer(0);
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setIsGameActive(true);
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setIsGameWon(false);
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setHasGameStarted(true);
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}, []);
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// Start game for the first time
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const startGame = () => {
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startNewGame();
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};
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// Timer effect
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useEffect(() => {
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let interval: NodeJS.Timeout;
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if (isGameActive && !isGameWon) {
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interval = setInterval(() => {
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setTimer(prev => prev + 0.1);
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}, 100);
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}
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return () => clearInterval(interval);
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}, [isGameActive, isGameWon]);
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// Check for win condition
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useEffect(() => {
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if (currentSum === targetNumber && isGameActive) {
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setIsGameActive(false);
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setIsGameWon(true);
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// Update high score
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const currentTime = Math.round(timer * 10) / 10;
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if (highScore === null || currentTime < highScore) {
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setHighScore(currentTime);
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localStorage.setItem('ternary-game-high-score', currentTime.toString());
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}
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}
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}, [currentSum, targetNumber, isGameActive, timer, highScore]);
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// Calculate current sum
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useEffect(() => {
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const sum = cardValues.reduce((acc, value, index) => {
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return acc + value * POWERS_OF_THREE[index];
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}, 0);
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setCurrentSum(sum);
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}, [cardValues]);
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const toggleCard = (index: number) => {
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if (!isGameActive || isGameWon) return;
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setCardValues(prev => {
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const newValues = [...prev];
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newValues[index] = (newValues[index] + 1) % 3; // Cycle through 0, 1, 2
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return newValues;
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});
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};
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// Convert number to ternary string for display
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const toTernary = (num: number) => {
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if (num === 0) return '0';
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let result = '';
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let n = num;
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while (n > 0) {
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result = (n % 3) + result;
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n = Math.floor(n / 3);
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}
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return result;
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};
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return (
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<div className="max-w-4xl mx-auto p-6 space-y-6">
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<div className="text-center space-y-2">
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<h2 className="text-2xl font-bold text-foreground">Ternary Number Representation</h2>
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<p className="text-muted-foreground">Click the cards to cycle through 0, 1, or 2 copies of each power of three to match the target!</p>
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{highScore !== null && (
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<Badge variant="secondary" className="text-sm">
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Best Time: {highScore}s
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</Badge>
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)}
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</div>
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{/* Cards representing powers of three */}
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<div className="grid grid-cols-8 gap-3">
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{POWERS_OF_THREE.map((power, index) => (
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<div key={power} className="flex flex-col items-center space-y-2">
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<Card
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className={`cursor-pointer transition-all duration-200 hover:scale-105 aspect-square w-full ${
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cardValues[index] === 0
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? 'bg-gradient-to-br from-gray-100 to-gray-200 border-gray-300'
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: cardValues[index] === 1
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? 'bg-gradient-to-br from-green-100 to-emerald-200 border-green-300 shadow-md'
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: 'bg-gradient-to-br from-orange-100 to-yellow-200 border-orange-300 shadow-lg'
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}`}
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onClick={() => toggleCard(index)}
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>
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<CardContent className="p-0 h-full flex flex-col items-center justify-center">
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<span className={`text-xl font-bold ${
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cardValues[index] === 0 ? 'text-gray-500' :
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cardValues[index] === 1 ? 'text-green-800' : 'text-orange-800'
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}`}>
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{cardValues[index] === 0 ? '0' : cardValues[index]}
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</span>
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<span className={`text-xs font-medium ${
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cardValues[index] === 0 ? 'text-gray-400' :
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cardValues[index] === 1 ? 'text-green-600' : 'text-orange-600'
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}`}>
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×{power}
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</span>
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</CardContent>
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</Card>
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<span className="text-xs text-muted-foreground font-medium">3^{7-index}</span>
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</div>
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))}
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</div>
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{/* Sum display boxes */}
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<div className="grid grid-cols-2 gap-4">
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<Card className="bg-secondary">
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<CardContent className="p-6 text-center">
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<h3 className="text-lg font-semibold text-muted-foreground mb-2">Current Sum</h3>
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<div className={`text-4xl font-bold ${currentSum > targetNumber ? "text-red-600" : "text-foreground"}`}>{currentSum}</div>
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</CardContent>
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</Card>
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<Card className="bg-primary/10 border-primary/20">
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<CardContent className="p-6 text-center">
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<h3 className="text-lg font-semibold text-muted-foreground mb-2">Target Sum</h3>
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<div className={`text-4xl font-bold ${isGameWon ? "text-green-600" : "text-primary"}`}>
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{!hasGameStarted ? "🎯" : isGameWon ? toTernary(targetNumber) : targetNumber}
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</div>
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</CardContent>
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</Card>
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</div>
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{/* Timer and controls */}
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<div className="text-center space-y-4">
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<div className="text-2xl font-mono text-foreground">
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Time: {Math.round(timer * 10) / 10}s
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</div>
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{isGameWon && (
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<div className="space-y-2">
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<div className="text-xl font-bold text-green-600">Congratulations! 🎉</div>
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<div className="text-lg text-muted-foreground">
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Your score: {Math.round(timer * 10) / 10} seconds
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</div>
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{highScore === Math.round(timer * 10) / 10 && (
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<Badge variant="default" className="bg-yellow-500 text-yellow-900">
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New High Score! 🏆
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</Badge>
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)}
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</div>
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)}
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<Button onClick={hasGameStarted ? startNewGame : startGame} size="lg" className="px-8">
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{!hasGameStarted ? 'Start Game' : isGameWon ? 'Play Again' : 'New Game'}
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</Button>
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</div>
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{showSocialShare && (
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<SocialShare
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title="Ternary Number Representation Game"
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description="Learn how numbers are represented in ternary (base-3) format through an interactive guessing game."
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url={`${window.location.origin}/ternary-number-game`}
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/>
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)}
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</div>
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);
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};
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export default TernaryNumberGame;
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@ -4,6 +4,7 @@ import { Search } from "lucide-react";
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import Layout from "@/components/Layout";
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import InteractiveCard from "@/components/InteractiveCard";
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import BinaryNumberGame from "@/components/BinaryNumberGame";
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import TernaryNumberGame from "@/components/TernaryNumberGame";
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interface Interactive {
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id: string;
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title: string;
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@ -19,6 +20,13 @@ const interactives: Interactive[] = [{
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tags: ["binary", "numbers", "conversion", "representation"],
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component: BinaryNumberGame,
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greenScreenPath: "/binary-number-game"
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}, {
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id: "ternary-number-game",
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title: "Ternary Number Representation",
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description: "Learn how numbers are represented in ternary (base-3) format by toggling between 0, 1, or 2 copies of powers of three.",
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tags: ["ternary", "numbers", "conversion", "representation", "base-3"],
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component: TernaryNumberGame,
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greenScreenPath: "/ternary-number-game"
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}];
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const Foundations = () => {
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const [searchTerm, setSearchTerm] = useState("");
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@ -37,7 +45,7 @@ const Foundations = () => {
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Back to Discrete Math →
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</Link>
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</div>
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<BinaryNumberGame />
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<InteractiveComponent />
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</div>
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</div>;
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