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knapsack.js
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knapsack.js
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function max(x, y) {
return (x > y) ? x : y;
}
function knapSack(W, w, v, n) {
let K = new Array(n + 1).fill(null).map(() => new Array(W + 1).fill(0));
for (let i = 0; i <= n; i++) {
for (let wt = 0; wt <= W; wt++) {
if (i === 0 || wt === 0)
K[i][wt] = 0;
else if (w[i - 1] <= wt)
K[i][wt] = max(v[i - 1] + K[i - 1][wt - w[i - 1]], K[i - 1][wt]);
else
K[i][wt] = K[i - 1][wt];
}
}
return K[n][W];
}
function main() {
console.log("Enter the number of items in a Knapsack:");
let n, W;
n = parseInt(prompt());
let v = new Array(n);
let w = new Array(n);
for (let i = 0; i < n; i++) {
console.log("Enter value and weight for item " + i + ":");
v[i] = parseInt(prompt());
w[i] = parseInt(prompt());
}
console.log("Enter the capacity of knapsack:");
W = parseInt(prompt());
console.log(knapSack(W, w, v, n));
}
main();