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Commite5af4c2

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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>
1 parentd74f242 commite5af4c2

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‎Dynamic-Programming/ZeroOneKnapsack.js

Lines changed: 17 additions & 9 deletions
Original file line numberDiff line numberDiff line change
@@ -1,26 +1,34 @@
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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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*/
5-
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constzeroOneKnapsack=(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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returncache[n][cap]
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}
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// Lookup (value already calculated)
1115
if(cache[n][cap]!==-1){
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returncache[n][cap]
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}
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// Profit when excluding the nth item
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letnotPick=zeroOneKnapsack(arr,n-1,cap,cache)
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// Profit when including the nth item
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letpick=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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returncache[n][cap]
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}else{
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cache[n][cap]=zeroOneKnapsack(arr,n-1,cap,cache)
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returncache[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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returncache[n][cap]
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}
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constexample=()=>{

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