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Commit e5af4c2

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Hardvanappgurueu
andauthored
Enhance readability of ZeroOneKnapsack.js (TheAlgorithms#1574)
* Enhance readability of ZeroOneKnapsack.js * Update ZeroOneKnapsack.js --------- Co-authored-by: Lars Müller <34514239+appgurueu@users.noreply.github.com>
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‎Dynamic-Programming/ZeroOneKnapsack.js

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/**
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* A Dynamic Programming based solution for calculating Zero One Knapsack
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* https://en.wikipedia.org/wiki/Knapsack_problem
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*
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* Time and Space Complexity: O(n*cap)
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*/
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const zeroOneKnapsack = (arr, n, cap, cache) => {
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// Base Case: No capacity or no items
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if (cap === 0 || n === 0) {
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cache[n][cap] = 0
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return cache[n][cap]
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}
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// Lookup (value already calculated)
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if (cache[n][cap] !== -1) {
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return cache[n][cap]
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}
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// Profit when excluding the nth item
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let notPick = zeroOneKnapsack(arr, n - 1, cap, cache)
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// Profit when including the nth item
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let pick = 0
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if (arr[n - 1][0] <= cap) {
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cache[n][cap] = Math.max(
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arr[n - 1][1] + zeroOneKnapsack(arr, n - 1, cap - arr[n - 1][0], cache),
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zeroOneKnapsack(arr, n - 1, cap, cache)
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)
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return cache[n][cap]
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} else {
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cache[n][cap] = zeroOneKnapsack(arr, n - 1, cap, cache)
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return cache[n][cap]
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// If weight of the nth item is within the capacity
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pick =
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arr[n - 1][1] + zeroOneKnapsack(arr, n - 1, cap - arr[n - 1][0], cache)
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}
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cache[n][cap] = Math.max(pick, notPick) // maximize profit
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return cache[n][cap]
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}
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const example = () => {

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