Creating Educational Games with Gemini 2.0 and Google AI Studio in less than 10 minutes: A Step-by-Step Guide
In today's digital age, leveraging artificial intelligence to enhance learning experiences has become increasingly popular. One innovative approach is using AI to transform textbook content into interactive, playable games that reinforce key concepts. This guide will walk you through the process of using Gemini 2.0 within Google AI Studio to create a unique, educational game from a chapter in the INFO 6205: Algorithms and Data Structures textbook by Nik Bear Brown and Nimish Magre, specifically focusing on Dynamic Programming. You will then implement the game using JSFiddle. By following these steps, you can create engaging study tools tailored to your specific learning needs.
Table of Contents
Introduction
Educational games are powerful tools that can transform passive learning into active engagement. By integrating AI technologies like Gemini 2.0 within Google AI Studio, educators and students can create customized games that target specific areas of study. This guide uses a chapter on Dynamic Programming from the INFO 6205: Algorithms and Data Structures textbook by Nik Bear Brown and Nimish Magre as an example, demonstrating how to convert theoretical concepts into an interactive game format.
Prerequisites
Before you begin, ensure you have the following:
Step 1: Inputting the Textbook Chapter into Gemini 2.0
1.1. Access Google AI Studio
1.2. Prepare the Textbook Chapter
1.3. Upload the Chapter to Gemini 2.0
1.4. Configure the AI for Understanding
Example Input Prompt:
You are an AI designed to create educational games. Analyze the following chapter on Dynamic Programming from the INFO 6205: Algorithms and Data Structures textbook by Nik Bear Brown and Nimish Magre, and generate a unique, playable game that helps reinforce the key concepts covered. The game should be engaging, interactive, and suitable for exam preparation.
Copy code
You are an AI designed to create educational games. Analyze the following chapter on Dynamic Programming from the INFO 6205: Algorithms and Data Structures textbook by Nik Bear Brown and Nimish Magre, and generate a unique, playable game that helps reinforce the key concepts covered. The game should be engaging, interactive, and suitable for exam preparation.
Step 2: Reviewing the AI-Generated Game Concept
After submitting the chapter to Gemini 2.0, the AI analyzes the content and generates a comprehensive game concept designed to reinforce the core principles of Dynamic Programming. Below is the detailed game concept created by Gemini 2.0:
Okay, I've analyzed the provided chapter on Dynamic Programming and have come up with a game concept designed to reinforce its core principles.
Game Title: DP Quest: Optimize Your Path
Game Type: Interactive, Puzzle-Based, Point-and-Click/Drag-and-Drop Adventure
Target Audience: Students learning Dynamic Programming (e.g., for exam prep in INFO 6205)
Core Game Mechanics:
Scoring System:
Tutorials and Hints:
Each zone can start with a brief tutorial explanation of the relevant DP concept, and hints are available if needed.
Progress Tracking:
As the user completes each section, a progress bar on the main quest map will track progress and achievements.
Game Play Example:
Why this game is effective:
领英推荐
Technical Considerations:
This game concept should provide a fun and effective way for students to learn and master Dynamic Programming, making it ideal for exam preparation. Let me know if you would like me to refine this concept further!
Step 3: Implementing the Game in JSFiddle
With the game concept defined, the next step is to bring it to life using JSFiddle, an online IDE that allows you to write, run, and share HTML, CSS, and JavaScript code snippets. Below is the actual code for the DP Quest: Optimize Your Path game, including HTML, CSS, and JavaScript.
3.1. Navigate to JSFiddle
3.2. Input the Code
HTML
Paste the following HTML code into the HTML section of JSFiddle:
<!DOCTYPE html>
<html>
<head>
<title>DP Quest: Optimize Your Path</title>
<link rel="stylesheet" href="style.css"> <!-- Link to external CSS -->
</head>
<body>
<div class="game-container">
<div class="map">
<button id="fibonacciBtn" class="zone-button">Fibonacci</button>
<button id="knapsackBtn" class="zone-button">Knapsack</button>
<button id="sequenceBtn" class="zone-button">Sequence Align</button>
<button id="shortestBtn" class="zone-button">Shortest Path</button>
<button id="bstBtn" class="zone-button">Optimal BST</button>
<div id="progress-bar">
<div id="progress"></div>
</div>
<div id="score-board">
<p>Score: <span id="score">0</span></p>
</div>
</div>
<div id="problem-area" class="problem-area hidden">
<h2 id="problem-title"></h2>
<p id="problem-description"></p>
<div id="dp-interface" class="hidden">
<button id="memoizationBtn">Memoization</button>
<button id="tabulationBtn">Tabulation</button>
<div id="memory-table" class="hidden">
<p>Memory Table</p>
<pre id="memory-display"></pre>
</div>
<div id="tabulation-table" class="hidden">
<p>Tabulation Table</p>
<pre id="tabulation-display"></pre>
</div>
</div>
<div id="problem-content"></div>
<div id="answer-area">
<div id="problem-input">
</div>
<button id="submitBtn" class="hidden">Submit Answer</button>
<div id="feedback" class="hidden"></div>
</div>
<button id="backBtn" class="hidden">Back to Map</button>
</div>
</div>
<script src="script.js"></script> <!-- Link to external JS -->
</body>
</html>
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Note: In JSFiddle, you should remove the <html>, <head>, and <body> tags, as JSFiddle separates these into different sections. Instead, place the contents of the <body> tag directly into the HTML section and omit the <link> and <script> tags. Alternatively, you can include the CSS and JS directly into the respective sections.
Updated HTML for JSFiddle:
<div class="game-container">
<div class="map">
<button id="fibonacciBtn" class="zone-button">Fibonacci</button>
<button id="knapsackBtn" class="zone-button">Knapsack</button>
<button id="sequenceBtn" class="zone-button">Sequence Align</button>
<button id="shortestBtn" class="zone-button">Shortest Path</button>
<button id="bstBtn" class="zone-button">Optimal BST</button>
<div id="progress-bar">
<div id="progress"></div>
</div>
<div id="score-board">
<p>Score: <span id="score">0</span></p>
</div>
</div>
<div id="problem-area" class="problem-area hidden">
<h2 id="problem-title"></h2>
<p id="problem-description"></p>
<div id="dp-interface" class="hidden">
<button id="memoizationBtn">Memoization</button>
<button id="tabulationBtn">Tabulation</button>
<div id="memory-table" class="hidden">
<p>Memory Table</p>
<pre id="memory-display"></pre>
</div>
<div id="tabulation-table" class="hidden">
<p>Tabulation Table</p>
<pre id="tabulation-display"></pre>
</div>
</div>
<div id="problem-content"></div>
<div id="answer-area">
<div id="problem-input">
</div>
<button id="submitBtn" class="hidden">Submit Answer</button>
<div id="feedback" class="hidden"></div>
</div>
<button id="backBtn" class="hidden">Back to Map</button>
</div>
</div>
Copy code
CSS
Paste the following CSS code into the CSS section of JSFiddle:
body {
font-family: sans-serif;
margin: 0;
padding: 0;
background-color: #f0f0f0;
display: flex;
justify-content: center;
align-items: center;
min-height: 100vh;
}
.game-container {
display: flex;
width: 90%;
max-width: 1200px;
background: #fff;
box-shadow: 0 0 10px rgba(0, 0, 0, 0.1);
margin: 20px;
padding: 20px;
border-radius: 8px;
flex-wrap: wrap;
}
.map {
width: 30%;
padding: 10px;
display: flex;
flex-direction: column;
}
.zone-button {
margin: 5px;
padding: 10px;
cursor: pointer;
background-color: #4CAF50;
color: white;
border: none;
border-radius: 4px;
transition: background-color 0.3s ease;
}
.zone-button:hover {
background-color: #45a049;
}
#progress-bar {
width: 100%;
height: 20px;
background-color: #eee;
border-radius: 10px;
margin-top: 20px;
overflow: hidden;
}
#progress {
height: 100%;
background-color: #007bff;
width: 0;
transition: width 0.3s ease;
}
#score-board {
margin-top: 20px;
text-align: center;
font-weight: bold;
font-size: 1.2em;
}
.problem-area {
width: 70%;
padding: 10px;
display: none;
}
.problem-area.hidden{
display:none;
}
.problem-area.visible{
display: block;
}
#dp-interface button {
margin: 5px;
padding: 8px;
cursor: pointer;
background-color: #007bff;
color: white;
border: none;
border-radius: 4px;
transition: background-color 0.3s ease;
}
#dp-interface button:hover{
background-color: #0056b3;
}
#problem-content {
margin-top: 20px;
margin-bottom: 10px;
padding: 10px;
border: 1px solid #ddd;
border-radius: 4px;
}
#answer-area{
margin-top: 20px;
text-align: left;
}
#problem-input{
margin-bottom: 10px;
padding: 10px;
border: 1px solid #ddd;
border-radius: 4px;
}
#submitBtn {
margin: 5px;
padding: 10px;
cursor: pointer;
background-color: #28a745;
color: white;
border: none;
border-radius: 4px;
transition: background-color 0.3s ease;
}
#submitBtn:hover{
background-color: #1e7e34;
}
#feedback{
margin-top: 10px;
padding: 10px;
border: 1px solid #ddd;
border-radius: 4px;
font-weight: bold;
}
#backBtn{
margin: 5px;
padding: 10px;
cursor: pointer;
background-color: #dc3545;
color: white;
border: none;
border-radius: 4px;
transition: background-color 0.3s ease;
}
#backBtn:hover{
background-color: #c82333;
}
.hidden {
display: none;
}
.visible{
display: block;
}
#memory-table{
margin-top: 20px;
padding: 10px;
border: 1px solid #ddd;
border-radius: 4px;
text-align: left;
white-space: pre-wrap; /* Allow new lines */
}
#tabulation-table {
margin-top: 20px;
padding: 10px;
border: 1px solid #ddd;
border-radius: 4px;
text-align: left;
white-space: pre-wrap;
}
JavaScript
Paste the following JavaScript code into the JavaScript section of JSFiddle:
// --- Game Initialization ---
const fibonacciBtn = document.getElementById('fibonacciBtn');
const knapsackBtn = document.getElementById('knapsackBtn');
const sequenceBtn = document.getElementById('sequenceBtn');
const shortestBtn = document.getElementById('shortestBtn');
const bstBtn = document.getElementById('bstBtn');
const problemArea = document.getElementById('problem-area');
const problemTitle = document.getElementById('problem-title');
const problemDescription = document.getElementById('problem-description');
const problemContent = document.getElementById('problem-content');
const dpInterface = document.getElementById('dp-interface');
const memoizationBtn = document.getElementById('memoizationBtn');
const tabulationBtn = document.getElementById('tabulationBtn');
const memoryTable = document.getElementById('memory-table');
const memoryDisplay = document.getElementById('memory-display');
const tabulationTable = document.getElementById('tabulation-table');
const tabulationDisplay = document.getElementById('tabulation-display');
const submitBtn = document.getElementById('submitBtn');
const feedbackDiv = document.getElementById('feedback');
const backBtn = document.getElementById('backBtn');
const problemInput = document.getElementById('problem-input');
const progressBar = document.getElementById('progress');
const scoreDisplay = document.getElementById('score');
let currentZone = null;
let score = 0;
let progress = 0;
// --- Event Listeners for Zone Selection ---
fibonacciBtn.addEventListener('click', () => loadProblem('fibonacci'));
knapsackBtn.addEventListener('click', () => loadProblem('knapsack'));
sequenceBtn.addEventListener('click', () => loadProblem('sequence'));
shortestBtn.addEventListener('click', () => loadProblem('shortest'));
bstBtn.addEventListener('click', () => loadProblem('bst'));
backBtn.addEventListener('click', backToMap);
// --- Helper Function to update the UI Elements ---
function updateUI (showProblem=false){
problemArea.classList.toggle('hidden', !showProblem);
problemArea.classList.toggle('visible', showProblem);
dpInterface.classList.toggle('hidden', !showProblem);
backBtn.classList.toggle('hidden', !showProblem);
}
// --- Load Problem Logic ---
function loadProblem(zoneName) {
currentZone = zoneName;
updateUI(true);
problemContent.innerHTML = '';
problemInput.innerHTML = '';
submitBtn.classList.add('hidden');
feedbackDiv.classList.add('hidden');
memoryTable.classList.add('hidden');
tabulationTable.classList.add('hidden');
// Clear any previous inputs
problemInput.innerHTML = "";
let problemConfig = null;
switch (zoneName) {
case 'fibonacci':
problemConfig = generateFibonacciProblem();
break;
case 'knapsack':
problemConfig = generateKnapsackProblem();
break;
case 'sequence':
problemConfig = generateSequenceAlignmentProblem();
break;
case 'shortest':
problemConfig = generateShortestPathProblem();
break;
case 'bst':
problemConfig = generateBSTProblem();
break;
}
if (problemConfig) {
problemTitle.textContent = problemConfig.title;
problemDescription.textContent = problemConfig.description;
problemContent.innerHTML = problemConfig.contentHTML;
if (problemConfig.inputHTML) {
problemInput.innerHTML = problemConfig.inputHTML;
submitBtn.classList.remove('hidden');
if (problemConfig.onLoad) {
problemConfig.onLoad();
}
}
}
}
// --- Back to Map ---
function backToMap() {
updateUI(false);
currentZone = null;
}
// --- Fibonacci Problem ---
function generateFibonacciProblem() {
return {
title: 'Fibonacci Sequence Challenge',
description: 'Complete the Fibonacci sequence by filling in the missing numbers.',
contentHTML: `<p>Sequence: 0, 1, ?, ?, 5, 8 </p>`,
inputHTML: `
<input type="text" id="fib1" placeholder="?">
<input type="text" id="fib2" placeholder="?">
`,
onLoad: () => {
submitBtn.onclick = () => {
let ans1 = parseInt(document.getElementById('fib1').value);
let ans2 = parseInt(document.getElementById('fib2').value);
checkFibonacci(ans1, ans2);
}
},
};
}
// --- Knapsack Problem ---
function generateKnapsackProblem() {
const items = [
{ name: "Gem", value: 60, weight: 10 },
{ name: "Sword", value: 100, weight: 20 },
{ name: "Coins", value: 120, weight: 30 },
{ name: "Potion", value: 40, weight: 5 }
];
const capacity = 50;
let itemsHtml = '';
items.forEach((item, index) => {
itemsHtml +=
`<div><input type="checkbox" id="item-${index}" data-value="${item.value}" data-weight="${item.weight}">
<label for="item-${index}">${item.name} (Value: ${item.value}, Weight: ${item.weight})</label></div>`;
});
return {
title: 'Knapsack Problem Challenge',
description: 'Select items to maximize value without exceeding the 50 weight capacity.',
contentHTML:
`<p>Items:</p>${itemsHtml}`,
inputHTML: `<p>Total Value: <span id="knapsack-value">0</span> Total Weight: <span id="knapsack-weight">0</span></p>`,
onLoad: () => {
submitBtn.onclick = checkKnapsack;
},
};
}
// --- Sequence Alignment Problem ---
function generateSequenceAlignmentProblem() {
return {
title: 'Sequence Alignment Challenge',
description: 'Align the given sequences to maximize similarity.',
contentHTML: `<p>Sequence A: AGTACGCA </p><p>Sequence B: TATGC</p>`,
inputHTML: `
<label for="sequence_ans">Aligned Sequence A:</label><input type="text" id="sequence_ans" placeholder="Aligned sequence"><br>
<label for="sequence_ans2">Aligned Sequence B:</label><input type="text" id="sequence_ans2" placeholder="Aligned sequence"><br>
`,
onLoad: () => {
submitBtn.onclick = checkSequenceAlignment;
},
};
}
// --- Shortest Path Problem ---
function generateShortestPathProblem() {
return {
title: 'Shortest Path Challenge',
description: 'Find the shortest path from node A to node E in the weighted graph using negative weights.',
contentHTML: `<p>Graph: A --(2)--> B --(4)--> D, A --(5)--> C --(1)--> D, B --(-3)--> C, C --(3)--> E, D--(-4)--> E</p>`,
inputHTML: `<label for="shortest_ans">Shortest Path Cost:</label> <input type="text" id="shortest_ans" placeholder="Shortest Path Cost">`,
onLoad: () => {
submitBtn.onclick = checkShortestPath;
},
};
}
// --- Optimal BST Problem ---
function generateBSTProblem() {
return {
title: 'Optimal BST Challenge',
description: 'Create an optimal BST using the given nodes and probabilities to minimize the expected search time.',
contentHTML: `<p>Keys: [10, 12, 20] </p><p>Probabilities: [0.34, 0.33, 0.33]</p>`,
inputHTML: `<label for="bst_ans">Optimal Search Cost</label><input type="text" id="bst_ans" placeholder="Expected search time">`,
onLoad: () => {
submitBtn.onclick = checkOptimalBST;
},
};
}
// --- DP method buttons onclick handler ---
memoizationBtn.addEventListener('click', showMemoization);
tabulationBtn.addEventListener('click', showTabulation);
// --Show the memory display for the memoization method --
function showMemoization(){
memoryTable.classList.remove('hidden');
tabulationTable.classList.add('hidden');
if(currentZone === 'fibonacci'){
memoizedFibonacci();
} else if(currentZone === 'knapsack'){
memoizedKnapsack();
} else if(currentZone === 'sequence'){
memoizedSequenceAlignment();
} else if(currentZone === 'shortest'){
memoizedShortestPath();
} else if(currentZone === 'bst'){
memoizedOptimalBST();
}
}
// --Show the tabulation table for the tabulation method --
function showTabulation(){
memoryTable.classList.add('hidden');
tabulationTable.classList.remove('hidden');
if(currentZone === 'fibonacci'){
tabulatedFibonacci();
} else if (currentZone === 'knapsack'){
tabulatedKnapsack();
} else if(currentZone === 'sequence'){
tabulatedSequenceAlignment();
} else if (currentZone === 'shortest'){
tabulatedShortestPath();
} else if(currentZone === 'bst'){
tabulatedOptimalBST();
}
}
// --- Check Fibonacci Answer ---
function checkFibonacci(ans1, ans2){
feedbackDiv.classList.remove('hidden');
if(ans1 == 2 && ans2 == 3){
feedbackDiv.textContent = "Correct!";
updateProgress();
}
else{
feedbackDiv.textContent ="Incorrect, try again!";
}
}
// --- Check Knapsack Answer ---
function checkKnapsack() {
const capacity = 50;
let totalValue = 0;
let totalWeight = 0;
const items = [
{ name: "Gem", value: 60, weight: 10 },
{ name: "Sword", value: 100, weight: 20 },
{ name: "Coins", value: 120, weight: 30 },
{ name: "Potion", value: 40, weight: 5 }
]
items.forEach((item, index) => {
let checkbox = document.getElementById(`item-${index}`);
if(checkbox.checked){
totalValue += item.value;
totalWeight += item.weight;
}
});
feedbackDiv.classList.remove('hidden');
if(totalValue == 220 && totalWeight <= capacity) {
feedbackDiv.textContent = "Correct! You found an optimal solution.";
updateProgress();
} else {
feedbackDiv.textContent = "Incorrect, try a different item combination.";
}
}
// --- Check Sequence Alignment Answer ---
function checkSequenceAlignment() {
feedbackDiv.classList.remove('hidden');
let ans1 = document.getElementById("sequence_ans").value;
let ans2 = document.getElementById("sequence_ans2").value;
if(ans1 == "AGTACGCA" && ans2 == "-TATGC-"){
feedbackDiv.textContent = "Correct!";
updateProgress();
} else{
feedbackDiv.textContent ="Incorrect, try again!";
}
}
// --- Check Shortest Path Answer ---
function checkShortestPath() {
feedbackDiv.classList.remove('hidden');
let ans = parseInt(document.getElementById("shortest_ans").value);
if(ans == 2){
feedbackDiv.textContent = "Correct!";
updateProgress();
}
else{
feedbackDiv.textContent = "Incorrect, try again!";
}
}
// --- Check Optimal BST Answer ---
function checkOptimalBST(){
feedbackDiv.classList.remove('hidden');
let ans = parseFloat(document.getElementById("bst_ans").value);
if (ans == 2.03){
feedbackDiv.textContent = "Correct!";
updateProgress();
} else {
feedbackDiv.textContent = "Incorrect, try again!";
}
}
// --- Dynamic programming Implementations ---
function memoizedFibonacci(){
let memo = [];
function fib(n) {
if (n in memo) {
return memo[n];
}
if (n <= 1) {
return n;
}
memo[n] = fib(n - 1) + fib(n - 2);
return memo[n];
}
let result = fib(5);
memoryDisplay.textContent = JSON.stringify(memo, null, 2);
return result;
}
function tabulatedFibonacci() {
let n = 5;
let dp = new Array(n + 1).fill(0);
dp[1] = 1;
for (let i = 2; i <= n; i++) {
dp[i] = dp[i - 1] + dp[i - 2];
}
tabulationDisplay.textContent = JSON.stringify(dp, null, 2);
return dp[n];
}
function memoizedKnapsack() {
const items = [
{ name: "Gem", value: 60, weight: 10 },
{ name: "Sword", value: 100, weight: 20 },
{ name: "Coins", value: 120, weight: 30 },
{ name: "Potion", value: 40, weight: 5 }
]
const capacity = 50;
const n = items.length;
const memo = {};
function knapsackRec(i, w) {
if (i < 0 || w <= 0) return 0;
if (`${i}-${w}` in memo) return memo[`${i}-${w}`];
let result;
if (items[i].weight > w) {
result = knapsackRec(i - 1, w);
} else {
result = Math.max(
knapsackRec(i - 1, w),
items[i].value + knapsackRec(i - 1, w - items[i].weight)
)
}
memo[`${i}-${w}`] = result;
return result;
}
let result = knapsackRec(n-1, capacity);
memoryDisplay.textContent = JSON.stringify(memo, null, 2);
return result;
}
function tabulatedKnapsack(){
const items = [
{ name: "Gem", value: 60, weight: 10 },
{ name: "Sword", value: 100, weight: 20 },
{ name: "Coins", value: 120, weight: 30 },
{ name: "Potion", value: 40, weight: 5 }
]
const capacity = 50;
const n = items.length;
let dp = Array(n+1).fill(null).map(() => Array(capacity+1).fill(0));
for (let i = 1; i <= n; i++){
for (let j = 0; j <= capacity; j++) {
if (items[i - 1].weight > j){
dp[i][j] = dp[i-1][j];
} else {
dp[i][j] = Math.max(dp[i-1][j], items[i-1].value + dp[i-1][j - items[i-1].weight])
}
}
}
tabulationDisplay.textContent = JSON.stringify(dp, null, 2);
return dp[n][capacity];
}
function memoizedSequenceAlignment() {
const seqA = "AGTACGCA";
const seqB = "TATGC";
const matchCost = 1;
const mismatchCost = -1;
const gapPenalty = -2;
const memo = {};
function sequenceAlignmentRec(i, j) {
if(i < 0) return j*gapPenalty;
if(j<0) return i*gapPenalty;
if(`${i}-${j}` in memo) return memo[`${i}-${j}`]
let cost;
if(seqA[i] === seqB[j]){
cost = sequenceAlignmentRec(i-1,j-1) + matchCost;
} else {
cost = sequenceAlignmentRec(i-1,j-1) + mismatchCost;
}
let insert = sequenceAlignmentRec(i, j-1) + gapPenalty;
let del = sequenceAlignmentRec(i-1, j) + gapPenalty;
let result = Math.min(cost, insert, del)
memo[`${i}-${j}`] = result;
return result;
}
let result = sequenceAlignmentRec(seqA.length-1,seqB.length - 1);
memoryDisplay.textContent = JSON.stringify(memo, null, 2);
return result
}
function tabulatedSequenceAlignment() {
const seqA = "AGTACGCA";
const seqB = "TATGC";
const matchCost = 1;
const mismatchCost = -1;
const gapPenalty = -2;
const n = seqA.length;
const m = seqB.length;
let dp = Array(n+1).fill(null).map(() => Array(m+1).fill(0));
for(let i = 0; i<= n; i++){
dp[i][0] = i*gapPenalty;
}
for(let j = 0; j<= m; j++){
dp[0][j] = j*gapPenalty
}
for(let i = 1; i <= n; i++){
for(let j = 1; j <=m; j++){
let cost;
if(seqA[i-1] === seqB[j-1]){
cost = dp[i-1][j-1] + matchCost;
} else{
cost = dp[i-1][j-1] + mismatchCost;
}
let insert = dp[i][j-1] + gapPenalty;
let del = dp[i-1][j] + gapPenalty;
dp[i][j] = Math.min(cost, insert, del);
}
}
tabulationDisplay.textContent = JSON.stringify(dp, null, 2);
return dp[n][m];
}
function memoizedShortestPath(){
const graph = {
'A': {'B': 2, 'C': 5},
'B': {'D': 4, 'C': -3},
'C': {'D': 1, 'E': 3},
'D': {'E': -4},
'E': {}
};
const memo = {};
function shortestPathRec(node){
if(node === 'E'){
return 0;
}
if(node in memo){
return memo[node];
}
let minCost = Infinity;
for(const neighbor in graph[node]){
minCost = Math.min(minCost, graph[node][neighbor] + shortestPathRec(neighbor))
}
memo[node] = minCost
return minCost;
}
let result = shortestPathRec('A');
memoryDisplay.textContent = JSON.stringify(memo, null, 2);
return result;
}
function tabulatedShortestPath(){
const graph = {
'A': {'B': 2, 'C': 5},
'B': {'D': 4, 'C': -3},
'C': {'D': 1, 'E': 3},
'D': {'E': -4},
'E': {}
};
let nodes = Object.keys(graph)
let dist = {};
for(let node of nodes){
dist[node] = Infinity;
}
dist['E'] = 0;
let tab = {};
for(let i = 0; i < nodes.length; i++){
tab[i] = {};
for(let node of nodes){
tab[i][node] = dist[node];
}
for(let node of nodes){
for(const neighbor in graph[node]){
dist[neighbor] = Math.min(dist[neighbor], dist[node] + graph[node][neighbor])
}
}
}
tabulationDisplay.textContent = JSON.stringify(tab, null, 2);
return dist['A']
}
function memoizedOptimalBST(){
const keys = [10, 12, 20];
const probabilities = [0.34, 0.33, 0.33];
const n = keys.length;
const memo = {};
function optimalBSTRec(i, j){
if(i > j) return 0;
if(`${i}-${j}` in memo) return memo[`${i}-${j}`]
let minCost = Infinity;
let totalProb = 0;
for(let k = i; k <=j; k++){
totalProb += probabilities[k];
}
for(let k = i; k <= j; k++){
minCost = Math.min(minCost, optimalBSTRec(i, k -1) + optimalBSTRec(k+1, j) + totalProb);
}
memo[`${i}-${j}`] = minCost;
return minCost;
}
let result = optimalBSTRec(0, n-1);
memoryDisplay.textContent = JSON.stringify(memo, null, 2);
return result;
}
function tabulatedOptimalBST(){
const keys = [10, 12, 20];
const probabilities = [0.34, 0.33, 0.33];
const n = keys.length;
let dp = Array(n+1).fill(null).map(() => Array(n+1).fill(0));
for (let i = 0; i < n; i++) {
dp[i][i] = probabilities[i];
}
for (let len = 2; len <= n; len++) {
for(let i = 0; i <= n - len + 1; i++) {
let j = i + len - 1;
dp[i][j] = Infinity;
let totalProb = 0;
for (let k= i; k <= j; k++) {
totalProb += probabilities[k]
}
for (let k = i; k <= j; k++) {
dp[i][j] = Math.min(dp[i][j],
(k>i ? dp[i][k-1] : 0) + (k < j ? dp[k+1][j] : 0) + totalProb);
}
}
}
tabulationDisplay.textContent = JSON.stringify(dp, null, 2);
return dp[0][n-1];
}
// Progress Tracking
function updateProgress(){
progress++;
let progressPercent = (progress / 5) * 100;
progressBar.style.width = `${progressPercent}%`;
score += 100;
scoreDisplay.textContent = score;
}
3.3. Configure External Resources (If Needed)
If your game requires external libraries (e.g., React, Vue.js, Phaser.js), you can add them via the External Resources section in JSFiddle:
For this game, the provided code uses plain JavaScript, HTML, and CSS, so no external libraries are required. However, if you wish to enhance the game with additional frameworks or libraries in the future, you can include them as needed.
3.4. Run and Test the Game
3.5. Debugging and Refinement
3.6. Save and Share
Additional Tips
Conclusion
Transforming textbook chapters into interactive games using Gemini 2.0 and Google AI Studio offers a dynamic approach to learning. By following this guide and implementing the provided code, you can create customized educational tools that not only make studying more enjoyable but also reinforce key concepts effectively. Integrating these games into platforms like JSFiddle allows for easy sharing and collaboration, further enhancing the learning experience. Embrace the power of AI to elevate your educational journey and prepare for exams with engaging, hands-on practice.
Happy Learning and Game Developing!