Fibonacci Game for interactive learning

FibonacciGame/Drotum/Readme.md

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+# Fibonacci Game
+
+Welcome to the **Fibonacci Game**, an interactive and fun way to learn about the Fibonacci sequence! This game is designed to teach players the fundamentals of the Fibonacci sequence through engaging gameplay, suitable for all ages.
+
+## Table of Contents
+- [About the Game](#about-the-game)
+- [How to Play](#how-to-play)
+- [Features](#features)
+- [Installation](#installation)
+- [Technologies Used](#technologies-used)
+- [Contributing](#contributing)
+- [License](#license)
+
+## About the Game
+The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones, starting from 0 and 1. This game introduces players to the sequence through:
+- Interactive puzzles
+- Challenges that involve identifying or calculating Fibonacci numbers
+- Levels that progressively increase in difficulty
+
+The goal is to make learning math concepts both fun and intuitive!
+
+## How to Play
+1. **Start the Game**: Launch the game and choose a difficulty level to begin.
+2. **Understand the Task**: Click on the Fibonacci numbers in the correct order as they appear on the screen to advance to the next level.
+3. **Solve the Challenge**: Use your knowledge of the Fibonacci sequence to select the correct numbers before time runs out.
+4. **Progress**: Advance to higher levels as you successfully complete each challenge.
+5. **Restart Anytime**: Use the "Restart Game" button to reset and start over.
+
+## Features
+- **Educational Gameplay**: Learn the Fibonacci sequence through practical and engaging challenges.
+- **Levels and Rewards**: Progress through levels with increasing complexity.
+- **User-Friendly Interface**: Simple and intuitive design for players of all ages.
+- **Difficulty Settings**: Choose from Easy, Medium, or Hard difficulty levels.
+- **Timer and Score Tracking**: Track your performance with a timer and score system.
+
+## Technologies Used
+- **Frontend**: HTML, CSS, JavaScript
+- **Framework**: React
+- **Other Tools**: Node.js
+
+
+
+---
+
+Enjoy learning and mastering the Fibonacci sequence with our game! If you have any questions or feedback, feel free to reach out.
+
+Happy Gaming! 🎮

FibonacciGame/Drotum/game.js

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+// Memoization for Fibonacci calculation
+const fibCache = {};
+function fibonacci(n) {
+  if (n <= 1) return n;
+  if (fibCache[n]) return fibCache[n];
+  fibCache[n] = fibonacci(n - 1) + fibonacci(n - 2);
+  return fibCache[n];
+}
+
+let level = 1;
+let currentSequence = [];
+let clickedNumbers = [];
+let correctFibIndex = 0;
+let gameActive = true;
+let timerInterval;
+let timeLeft = 60; // Default time in seconds
+let gamePaused = false;
+const numbers = [];
+let startFromIndex = 5; // Will be randomized per level
+
+// Difficulty settings
+const difficultySettings = {
+  easy: { distractors: 5, time: 90 },
+  medium: { distractors: 10, time: 60 },
+  hard: { distractors: 20, time: 30 }
+};
+
+// HTML Elements
+const gameBoard = document.getElementById('gameBoard');
+const levelDisplay = document.getElementById('levelDisplay');
+const messageDisplay = document.getElementById('message');
+const correctSequenceDisplay = document.getElementById('correctSequence');
+const timerDisplay = document.getElementById('timerDisplay');
+const pauseButton = document.getElementById('pauseButton');
+const difficultySelect = document.getElementById('difficulty');
+const leaderboardList = document.getElementById('leaderboardList');
+const restartButton = document.getElementById('restartButton');
+
+// Sound Elements
+const correctSound = document.getElementById('correctSound');
+const incorrectSound = document.getElementById('incorrectSound');
+const levelUpSound = document.getElementById('levelUpSound');
+
+// Leaderboard
+let leaderboard = JSON.parse(localStorage.getItem('fibLeaderboard')) || [];
+
+// Function to update the leaderboard display
+function updateLeaderboard() {
+  leaderboardList.innerHTML = '';
+  leaderboard.forEach(entry => {
+    const li = document.createElement('li');
+    li.textContent = `Level ${entry.level} - Time: ${entry.time}s`;
+    leaderboardList.appendChild(li);
+  });
+}
+
+// Function to add a new score to the leaderboard
+function addToLeaderboard(levelAchieved, timeTaken) {
+  leaderboard.push({ level: levelAchieved, time: timeTaken });
+  leaderboard.sort((a, b) => {
+    if (b.level === a.level) return a.time - b.time;
+    return b.level - a.level;
+  });
+  leaderboard = leaderboard.slice(0, 10);
+  localStorage.setItem('fibLeaderboard', JSON.stringify(leaderboard));
+  updateLeaderboard();
+}
+
+// Function to generate a Fibonacci sequence for the level, starting from a specified number
+function generateFibonacciSequence(level, startFromIndex) {
+  const sequence = [];
+  for (let i = startFromIndex; i < startFromIndex + level + 5; i++) {
+    sequence.push(fibonacci(i));
+  }
+  return sequence;
+}
+
+// Function to generate non-Fibonacci numbers close to the Fibonacci sequence
+function generateNonFibonacciNumbers(count, fibNumbers) {
+  const nonFib = [];
+  while (nonFib.length < count) {
+    const randomFib = fibNumbers[Math.floor(Math.random() * fibNumbers.length)];
+    const offset = Math.floor(Math.random() * 10) - 5; // Random offset close to Fibonacci numbers
+    const candidate = randomFib + offset;
+    if (!fibNumbers.includes(candidate) && candidate > 0 && !nonFib.includes(candidate)) {
+      nonFib.push(candidate);
+    }
+  }
+  return nonFib;
+}
+
+// Function to create number elements (static and non-overlapping)
+function createNumberElement(number, isFib = true, usedPositions) {
+  const numberElement = document.createElement('div');
+  numberElement.classList.add('number');
+  numberElement.textContent = number;
+
+  const size = isFib ? (50 + Math.random() * 50) : (30 + Math.random() * 30);
+  numberElement.style.width = `${size}px`;
+  numberElement.style.height = numberElement.style.width;
+
+  let validPosition = false;
+  let x, y;
+
+  // Find a position that doesn't overlap with others
+  while (!validPosition) {
+    x = Math.random() * 80; // 80% width of the game board
+    y = Math.random() * 80; // 80% height of the game board
+    validPosition = !usedPositions.some(pos => {
+      const dx = pos.x - x;
+      const dy = pos.y - y;
+      return Math.sqrt(dx * dx + dy * dy) < 10; // Minimum distance of 10% to avoid overlap
+    });
+  }
+
+  numberElement.style.position = 'absolute';
+  numberElement.style.left = `${x}%`;
+  numberElement.style.top = `${y}%`;
+  usedPositions.push({ x, y }); // Save the position
+
+  return numberElement;
+}
+
+// Function to display Fibonacci and distractor numbers
+function displayNumbers() {
+  const fibNumbers = currentSequence;
+  const difficulty = difficultySelect.value;
+  const distractors = generateNonFibonacciNumbers(difficultySettings[difficulty].distractors, fibNumbers);
+  const usedPositions = [];
+
+  // Clear any existing numbers
+  gameBoard.innerHTML = '';
+
+  // Generate Fibonacci numbers
+  fibNumbers.forEach((number) => {
+    const element = createNumberElement(number, true, usedPositions);
+    element.addEventListener('click', () => handleNumberClick(number, element));
+    gameBoard.appendChild(element);
+  });
+
+  // Generate distractor numbers
+  distractors.forEach((number) => {
+    const element = createNumberElement(number, false, usedPositions);
+    gameBoard.appendChild(element);
+  });
+}
+
+// Handle click on numbers
+function handleNumberClick(number, element) {
+  if (!gameActive) return;
+
+  if (number === currentSequence[correctFibIndex]) {
+    clickedNumbers.push(number);
+    correctFibIndex++;
+    correctSound.currentTime = 0;
+    correctSound.play();
+    correctSequenceDisplay.textContent = `Correct Sequence: ${clickedNumbers.join(', ')}`;
+    gameBoard.removeChild(element);
+
+    if (clickedNumbers.length === currentSequence.length) {
+      gameActive = false;
+      clearInterval(timerInterval);
+      levelUpSound.play();
+      setTimeout(() => nextLevel(), 1000);
+    }
+  } else {
+    incorrectSound.currentTime = 0;
+    incorrectSound.play();
+    messageDisplay.textContent = "Incorrect, try again!";
+  }
+}
+
+// Move to the next level
+function nextLevel() {
+  addToLeaderboard(level, timeLeft);
+  level++;
+  levelDisplay.textContent = `Level: ${level}`;
+  clickedNumbers = [];
+  correctFibIndex = 0;
+  const difficulty = difficultySelect.value;
+  timeLeft = difficultySettings[difficulty].time;
+
+  // Randomize starting Fibonacci numbers for the sequence
+  startFromIndex = Math.floor(Math.random() * 10) + 3; // Randomize between index 3 and 12
+  currentSequence = generateFibonacciSequence(level, startFromIndex);
+
+  gameActive = true;
+  correctSequenceDisplay.textContent = `Correct Sequence: ${currentSequence[0]}, ${currentSequence[1]}`;
+  displayNumbers();
+  resetTimer();
+}
+
+// Timer functions
+function startTimer() {
+  timerDisplay.textContent = `Time: ${timeLeft}s`;
+  timerInterval = setInterval(() => {
+    if (!gameActive || gamePaused) return;
+    timeLeft--;
+    timerDisplay.textContent = `Time: ${timeLeft}s`;
+    if (timeLeft <= 0) {
+      clearInterval(timerInterval);
+      endGame();
+    }
+  }, 1000);
+}
+
+function resetTimer() {
+  clearInterval(timerInterval);
+  startTimer();
+}
+
+// Handle Pause/Resume Button
+pauseButton.addEventListener('click', () => {
+  if (!gameActive) return;
+  if (gamePaused) {
+    gamePaused = false;
+    pauseButton.textContent = "Pause";
+    resetTimer();
+  } else {
+    gamePaused = true;
+    pauseButton.textContent = "Resume";
+    clearInterval(timerInterval);
+  }
+});
+
+// Handle Difficulty Change
+difficultySelect.addEventListener('change', () => {
+  const difficulty = difficultySelect.value;
+  timeLeft = difficultySettings[difficulty].time;
+  if (gameActive && !gamePaused) {
+    resetTimer();
+  }
+});
+
+// Handle game end
+function endGame() {
+  gameActive = false;
+  messageDisplay.textContent = "Time's up! Game Over.";
+  restartButton.style.display = "block"; // Show the restart button
+}
+
+// Handle restart button click
+restartButton.addEventListener('click', () => {
+  restartButton.style.display = "none";
+  startGame(true);
+  updateLeaderboard();
+});
+
+// Start the game
+function startGame(isRestart = false) {
+  // Reset level and other state variables
+  level = 1;
+  const difficulty = difficultySelect.value;
+  timeLeft = difficultySettings[difficulty].time;
+  clickedNumbers = [];
+  correctFibIndex = 0;
+  gameActive = true;
+
+  // Randomize the Fibonacci sequence's start index and generate a new sequence
+  startFromIndex = Math.floor(Math.random() * 10) + 3; // Randomize starting point
+  currentSequence = generateFibonacciSequence(level, startFromIndex);
+
+  correctSequenceDisplay.textContent = `Correct Sequence: ${currentSequence[0]}, ${currentSequence[1]}`;
+  displayNumbers();
+
+  if (isRestart) {
+    resetTimer();
+  }
+
+  if (!isRestart) {
+    addToLeaderboard(level, timeLeft);
+  }
+}
+
+startGame();

FibonacciGame/Drotum/index.html

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+<!DOCTYPE html>
+<html lang="en">
+<head>
+  <meta charset="UTF-8">
+  <meta name="viewport" content="width=device-width, initial-scale=1">
+  <title>Fibonacci Click Challenge</title>
+  <link rel="stylesheet" href="style.css">
+</head>
+<body>
+  <!-- Game container -->
+  <div class="game-container">
+    <h1>Fibonacci Click Challenge</h1>
+    <p>Click the Fibonacci numbers in the correct order to advance to the next stage!</p>
+
+    <div class="controls">
+      <div id="levelDisplay" class="level-display">Level: 1</div>
+      <div id="timerDisplay" class="timer-display">Time: 60s</div>
+      <button id="pauseButton">Pause</button>
+      <div class="difficulty-settings">
+        <label for="difficulty">Difficulty:</label>
+        <select id="difficulty">
+          <option value="easy">Easy</option>
+          <option value="medium" selected>Medium</option>
+          <option value="hard">Hard</option>
+        </select>
+      </div>
+    </div>
+
+    <div id="gameBoard" class="game-board">
+      <!-- Floating numbers will appear here -->
+    </div>
+
+    <div id="message" class="message"></div>
+
+    <div id="correctSequence" class="correct-sequence">Correct Sequence: </div>
+
+    <!-- Restart Button moved between Correct Sequence and Leaderboard -->
+    <button id="restartButton" style="display: block; margin: 20px auto; padding: 10px 20px; font-size: 18px; background-color: #0097e6; color: white; border: none; border-radius: 5px; cursor: pointer;">
+      Restart Game
+    </button>
+
+    <div class="leaderboard">
+      <h2>Leaderboard</h2>
+      <ol id="leaderboardList">
+        <!-- Leaderboard entries will be added here -->
+      </ol>
+    </div>
+  </div>
+
+  <!-- Sound Effects -->
+  <audio id="correctSound" src="sounds/correct.mp3"></audio>
+  <audio id="incorrectSound" src="sounds/incorrect.mp3"></audio>
+  <audio id="levelUpSound" src="sounds/levelup.mp3"></audio>
+
+  <script src="game.js"></script>
+</body>
+</html>