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coin change visualizer added
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‎src/algorithms/dynamic-programming/coinChange.js‎

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export function coinChangeTabulation(coins = [], amount = 0) {
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// dp dimensions: (n + 1) x (amount + 1)
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const n = coins.length;
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const dp = Array.from({ length: n + 1 }, () =>
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new Array(amount + 1).fill(Infinity)
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);
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const steps = [];
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// Base case: dp[i][0] = 0 for all i
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for (let i = 0; i <= n; i++) {
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dp[i][0] = 0;
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steps.push({
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type: "base_case",
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row: i,
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col: 0,
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value: 0,
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dp: dp.map((r) => [...r]),
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message: `Base case: dp[${i}][0] = 0 (0 coins needed to make amount 0).`,
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});
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}
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// Fill table row by row: i = 1..n (using first i coins), j = 1..amount
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for (let i = 1; i <= n; i++) {
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const coin = coins[i - 1];
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for (let j = 1; j <= amount; j++) {
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// Highlight cell selection
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steps.push({
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type: "select_cell",
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row: i,
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col: j,
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coin,
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dp: dp.map((r) => [...r]),
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message: `Computing dp[${i}][${j}] considering coin ${coin}.`,
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});
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// Option 1: don't use current coin => dp[i-1][j]
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const option1 = dp[i - 1][j];
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steps.push({
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type: "option_without",
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row: i,
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col: j,
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coin,
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optionValue: option1,
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dp: dp.map((r) => [...r]),
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message: `Option 1 (without coin ${coin}): dp[${i - 1}][${j}] = ${option1 === Infinity ? "∞" : option1}.`,
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});
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// Option 2: use current coin if j >= coin => dp[i][j-coin] + 1
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let option2 = Infinity;
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if (j - coin >= 0) {
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option2 = dp[i][j - coin] === Infinity ? Infinity : dp[i][j - coin] + 1;
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steps.push({
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type: "option_with",
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row: i,
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col: j,
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coin,
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optionValue:
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option2 === Infinity ? "∞" : option2,
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dp: dp.map((r) => [...r]),
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message: `Option 2 (use coin ${coin}): dp[${i}][${j - coin}] ${dp[i][j - coin] === Infinity ? "= ∞" : `= ${dp[i][j - coin]}`
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} → +1 => ${option2 === Infinity ? "∞" : option2}.`,
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});
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} else {
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steps.push({
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type: "option_with_unavailable",
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row: i,
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col: j,
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coin,
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optionValue: "N/A",
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dp: dp.map((r) => [...r]),
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message: `Option 2 (use coin ${coin}) not possible since ${coin} > ${j}.`,
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});
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}
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// Take min and store
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const chosen = Math.min(option1, option2);
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dp[i][j] = chosen;
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steps.push({
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type: "take_min",
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row: i,
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col: j,
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coin,
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chosen: chosen === Infinity ? "∞" : chosen,
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option1: option1 === Infinity ? "∞" : option1,
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option2: option2 === Infinity ? "∞" : option2,
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dp: dp.map((r) => [...r]),
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message: `dp[${i}][${j}] = min(${option1 === Infinity ? "∞" : option1}, ${option2 === Infinity ? "∞" : option2}) = ${chosen === Infinity ? "∞" : chosen}.`,
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});
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}
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}
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const result = dp[n][amount] === Infinity ? -1 : dp[n][amount];
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// Prepare visual steps (trim large dp values to Infinity string for clarity)
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const visualSteps = steps.map((step) => ({
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array: step.dp.map((r) => r.map((v) => (v === Infinity ? Infinity : v))),
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currentPosition: { row: step.row, col: step.col },
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coin: step.coin,
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message: step.message,
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type: step.type,
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extra: {
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option1: step.option1,
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option2: step.option2,
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chosen: step.chosen,
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optionValue: step.optionValue,
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},
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}));
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return {
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steps: visualSteps,
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result,
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dpFinal: dp.map((r) => r.map((v) => (v === Infinity ? Infinity : v))),
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};
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}

‎src/components/dynamic-programming/coinChangeVisualizer.jsx‎

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import React, { useState, useEffect, useRef } from "react";
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export default function CoinChangeVisualizer() {
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const [coins, setCoins] = useState([1, 2, 5]);
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const [amount, setAmount] = useState(11);
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const [speed, setSpeed] = useState(500);
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const [dp, setDp] = useState([]);
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const [steps, setSteps] = useState([]);
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const [currentStep, setCurrentStep] = useState(0);
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const [isRunning, setIsRunning] = useState(false);
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const intervalRef = useRef(null);
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// --- Algorithm Logic ---
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const generateSteps = (coins, amount) => {
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const dpTable = Array(coins.length + 1)
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.fill(null)
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.map(() => Array(amount + 1).fill(Infinity));
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for (let i = 0; i <= coins.length; i++) dpTable[i][0] = 0;
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const stepsList = [];
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for (let i = 1; i <= coins.length; i++) {
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for (let j = 1; j <= amount; j++) {
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const withoutCoin = dpTable[i - 1][j];
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const withCoin =
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j >= coins[i - 1] ? dpTable[i][j - coins[i - 1]] + 1 : Infinity;
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dpTable[i][j] = Math.min(withoutCoin, withCoin);
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stepsList.push({
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i,
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j,
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coin: coins[i - 1],
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withoutCoin,
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withCoin,
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result: dpTable[i][j],
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dpSnapshot: dpTable.map((r) => [...r]),
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});
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}
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}
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return stepsList;
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};
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// --- Visualization Control ---
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const startVisualization = () => {
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const newSteps = generateSteps(coins, amount);
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setSteps(newSteps);
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setDp(newSteps[0].dpSnapshot);
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setCurrentStep(0);
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setIsRunning(true);
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};
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useEffect(() => {
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if (isRunning && steps.length > 0) {
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intervalRef.current = setInterval(() => {
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setCurrentStep((prev) => {
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if (prev >= steps.length - 1) {
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clearInterval(intervalRef.current);
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setIsRunning(false);
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return prev;
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}
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return prev + 1;
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});
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}, speed);
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}
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return () => clearInterval(intervalRef.current);
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}, [isRunning, steps, speed]);
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useEffect(() => {
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if (steps[currentStep]) setDp(steps[currentStep].dpSnapshot);
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}, [currentStep, steps]);
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const current = steps[currentStep];
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// --- Color Logic ---
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const getCellColor = (i, j, cell) => {
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if (cell === 0) return "bg-green-600 text-white font-bold";
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if (current && current.i === i && current.j === j)
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return "bg-yellow-400 text-black animate-pulse shadow-lg shadow-yellow-400/40";
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if (i === coins.length && j === amount)
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return "bg-purple-600 text-white font-bold shadow-md";
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if (cell === Infinity) return "bg-gray-800 text-gray-400";
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return "bg-blue-600/70 text-white";
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};
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return (
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<div className="p-4 md:p-8 bg-gray-950 min-h-screen text-white font-sans">
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<h1 className="text-3xl font-bold mb-8 text-center text-indigo-400">
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Coin Change Visualizer (Dynamic Programming)
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</h1>
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{/* Input Controls */}
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<div className="flex flex-wrap justify-center gap-4 mb-8">
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<input
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type="text"
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value={coins.join(",")}
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onChange={(e) => setCoins(e.target.value.split(",").map(Number))}
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placeholder="Coins (e.g., 1,2,5)"
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className="p-2 rounded-md bg-gray-800 border border-gray-700 text-center w-48"
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/>
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<input
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type="number"
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value={amount}
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onChange={(e) => setAmount(Number(e.target.value))}
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placeholder="Amount"
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className="p-2 rounded-md bg-gray-800 border border-gray-700 text-center w-32"
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/>
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<input
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type="range"
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min="200"
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max="1500"
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value={speed}
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onChange={(e) => setSpeed(Number(e.target.value))}
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className="w-40 accent-indigo-500"
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/>
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<button
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onClick={startVisualization}
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className="px-4 py-2 bg-indigo-600 rounded-md hover:bg-indigo-500 transition"
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>
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Start
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</button>
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<button
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onClick={() => {
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setIsRunning(false);
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clearInterval(intervalRef.current);
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setSteps([]);
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setDp([]);
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}}
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className="px-4 py-2 bg-gray-700 rounded-md hover:bg-gray-600 transition"
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>
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Reset
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</button>
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</div>
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{/* DP Table */}
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<div className="overflow-x-auto flex justify-center mb-10">
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<table className="border-separate border-spacing-1 text-center">
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<thead>
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<tr>
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<th className="p-2 bg-gray-800 border border-gray-700 rounded-md text-gray-300">
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Coins ↓ / Amount →
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</th>
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{Array.from({ length: amount + 1 }, (_, j) => (
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<th
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key={j}
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className="p-2 bg-gray-800 border border-gray-700 rounded-md text-sm"
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>
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{j}
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</th>
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))}
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</tr>
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</thead>
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<tbody>
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{dp.map((row, i) => (
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<tr key={i} className="even:bg-gray-900/40">
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<td className="px-3 py-2 bg-gray-800 border border-gray-700 rounded-md text-sm text-gray-300">
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{i === 0 ? "∅" : `[${coins[i - 1]}]`}
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</td>
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{row.map((cell, j) => (
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<td
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key={j}
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className={`w-12 h-12 border border-gray-700 rounded-md text-center transition-all duration-300 ${getCellColor(
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i,
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j,
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cell
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)}`}
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>
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{cell === Infinity ? "∞" : cell}
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</td>
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))}
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</tr>
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))}
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</tbody>
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</table>
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</div>
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{/* Explanation Panel */}
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{current && (
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<div className="text-center bg-gray-900 border border-gray-700 rounded-xl p-6 shadow-lg max-w-2xl mx-auto">
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<p className="text-indigo-300 font-semibold mb-2">
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Step {currentStep + 1} / {steps.length}
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</p>
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<p className="text-gray-200">
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Computing{" "}
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<span className="text-yellow-400 font-medium">
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dp[{current.i}][{current.j}]
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</span>{" "}
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using coin{" "}
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<span className="text-cyan-400 font-medium">{current.coin}</span>
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</p>
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<p className="mt-3 text-gray-300">
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Without coin ={" "}
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<span className="text-red-400">
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{current.withoutCoin === Infinity ? "∞" : current.withoutCoin}
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</span>{" "}
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| With coin ={" "}
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<span className="text-green-400">
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{current.withCoin === Infinity ? "∞" : current.withCoin}
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</span>
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</p>
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<p className="mt-3 text-green-400 font-semibold">
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dp[{current.i}][{current.j}] = min(
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{current.withoutCoin === Infinity ? "∞" : current.withoutCoin},{" "}
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{current.withCoin === Infinity ? "∞" : current.withCoin}) ={" "}
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{current.result === Infinity ? "∞" : current.result}
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</p>
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</div>
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)}
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</div>
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);
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}

‎src/pages/dynamic-programming/CoinChange.jsx‎

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// src/pages/dynamic-programming/CoinChange.jsx
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import React from "react";
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import CoinChangeVisualizer from "../../components/dynamic-programming/CoinChangeVisualizer";
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export default function CoinChange() {
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return <CoinChangeVisualizer />;
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}

‎src/pages/dynamic-programming/DyanmicProgrammingPage.jsx‎

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@@ -4,8 +4,9 @@ import Levenshtein from "./Levenshtein";
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import MatrixChainMultiplication from "./MatrixChainMultiplication";
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import FibonacciSequence from "./FibonacciSequence";
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import Knapsack from "./Knapsack";
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import PascalTriangle from "./PascalTriangle";
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import PascalTriangle from "./PascalTriangle";
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import LCSPage from "./LCS";
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import CoinChange from "./CoinChange"; // ✅ Added import
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export default function DynamicProgrammingPage() {
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const [selectedAlgo, setSelectedAlgo] = useState("");
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<Knapsack />
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</div>
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);
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case "PascalTriangle":
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case "PascalTriangle":
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return (
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<div className="md:w-full w-screen overflow-clip p-2">
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<PascalTriangle />
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<LCSPage />
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</div>
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);
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case "CoinChange": // ✅ Added new algorithm case
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return (
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<div className="md:w-full w-screen overflow-clip p-2">
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<CoinChange />
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</div>
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);
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default:
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return (
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<div className="flex flex-col items-center justify-center text-center p-6 min-h-screen bg-gray-950">
@@ -65,7 +72,7 @@ export default function DynamicProgrammingPage() {
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Understand how overlapping subproblems and optimal
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substructures work in real time. Visualize table-filling,
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recursion trees, and memoization flow with stunning
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animations! ⚙️🧩
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animations!
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</p>
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</div>
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<div className="flex items-center justify-center gap-6">
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<option value="MatrixChainMultiplication">Matrix Chain Multiplication</option>
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<option value="Fibonacci">Fibonacci Sequence</option>
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<option value="Knapsack">Knapsack</option>
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<option value="PascalTriangle">Pascal Triangle</option> {/* ✅ added */}
115-
<option value="Knapsack">Knapsack</option>
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<option value="LongestCommonSubsequence">Longest Common Subsequence</option>
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<option value="PascalTriangle">Pascal Triangle</option>
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<option value="LongestCommonSubsequence">Longest Common Subsequence</option>
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<option value="CoinChange">Coin Change</option> {/* ✅ Added */}
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</select>
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<button

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