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Enhance readability of ZeroOneKnapsack.js (#1574)

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* Enhance readability of ZeroOneKnapsack.js

* Update ZeroOneKnapsack.js

---------

Co-authored-by: Lars Müller <34514239+appgurueu@users.noreply.github.com>
This commit is contained in:
Hardik Pawar
2023-10-30 11:04:06 +05:30
committed by GitHub
parent d74f242ac4
commit e5af4c24b4
1 changed files with 17 additions and 9 deletions
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26
Dynamic-Programming/ZeroOneKnapsack.js
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@ -1,26 +1,34 @@
/** /**
* A Dynamic Programming based solution for calculating Zero One Knapsack * A Dynamic Programming based solution for calculating Zero One Knapsack
* https://en.wikipedia.org/wiki/Knapsack_problem * https://en.wikipedia.org/wiki/Knapsack_problem
*
* Time and Space Complexity: O(n*cap)
*/ */
const zeroOneKnapsack = (arr, n, cap, cache) => { const zeroOneKnapsack = (arr, n, cap, cache) => {
// Base Case: No capacity or no items
if (cap === 0 || n === 0) { if (cap === 0 || n === 0) {
cache[n][cap] = 0 cache[n][cap] = 0
return cache[n][cap] return cache[n][cap]
} }
// Lookup (value already calculated)
if (cache[n][cap] !== -1) { if (cache[n][cap] !== -1) {
return cache[n][cap] return cache[n][cap]
} }
// Profit when excluding the nth item
let notPick = zeroOneKnapsack(arr, n - 1, cap, cache)
// Profit when including the nth item
let pick = 0
if (arr[n - 1][0] <= cap) { if (arr[n - 1][0] <= cap) {
cache[n][cap] = Math.max( // If weight of the nth item is within the capacity
arr[n - 1][1] + zeroOneKnapsack(arr, n - 1, cap - arr[n - 1][0], cache), pick =
zeroOneKnapsack(arr, n - 1, cap, cache) arr[n - 1][1] + zeroOneKnapsack(arr, n - 1, cap - arr[n - 1][0], cache)
)
return cache[n][cap]
} else {
cache[n][cap] = zeroOneKnapsack(arr, n - 1, cap, cache)
return cache[n][cap]
} }
cache[n][cap] = Math.max(pick, notPick) // maximize profit
return cache[n][cap]
} }
const example = () => { const example = () => {