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Commit8c206a9

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shsinatrekhleb
authored andcommitted
fix unbound knapsack problem with items more than 1(default value) (trekhleb#73)
1 parent6d413d8 commit8c206a9

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2 files changed

+54
-1
lines changed

2 files changed

+54
-1
lines changed

‎src/algorithms/sets/knapsack-problem/Knapsack.js

Lines changed: 4 additions & 1 deletion
Original file line numberDiff line numberDiff line change
@@ -165,7 +165,10 @@ export default class Knapsack {
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constavailableWeight=this.weightLimit-this.totalWeight;
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constmaxPossibleItemsCount=Math.floor(availableWeight/currentItem.weight);
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168-
if(maxPossibleItemsCount){
168+
if(maxPossibleItemsCount>currentItem.itemsInStock){
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currentItem.quantity=currentItem.itemsInStock;
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this.selectedItems.push(currentItem);
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}elseif(maxPossibleItemsCount){
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currentItem.quantity=maxPossibleItemsCount;
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this.selectedItems.push(currentItem);
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}

‎src/algorithms/sets/knapsack-problem/__test__/Knapsack.test.js

Lines changed: 50 additions & 0 deletions
Original file line numberDiff line numberDiff line change
@@ -96,6 +96,31 @@ describe('Knapsack', () => {
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newKnapsackItem({value:20,weight:2}),// v/w ratio is 10
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];
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constmaxKnapsackWeight=15;
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constknapsack=newKnapsack(possibleKnapsackItems,maxKnapsackWeight);
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knapsack.solveUnboundedKnapsackProblem();
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expect(knapsack.totalValue).toBe(84+20+12+10+5);
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expect(knapsack.totalWeight).toBe(15);
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expect(knapsack.selectedItems.length).toBe(5);
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expect(knapsack.selectedItems[0].toString()).toBe('v84 w7 x 1');
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expect(knapsack.selectedItems[1].toString()).toBe('v20 w2 x 1');
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expect(knapsack.selectedItems[2].toString()).toBe('v10 w1 x 1');
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expect(knapsack.selectedItems[3].toString()).toBe('v12 w3 x 1');
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expect(knapsack.selectedItems[4].toString()).toBe('v5 w2 x 1');
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});
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it('should solve unbound knapsack problem with items in stock',()=>{
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constpossibleKnapsackItems=[
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newKnapsackItem({value:84,weight:7,itemsInStock:3}),// v/w ratio is 12
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newKnapsackItem({value:5,weight:2,itemsInStock:2}),// v/w ratio is 2.5
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newKnapsackItem({value:12,weight:3,itemsInStock:1}),// v/w ratio is 4
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newKnapsackItem({value:10,weight:1,itemsInStock:6}),// v/w ratio is 10
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newKnapsackItem({value:20,weight:2,itemsInStock:8}),// v/w ratio is 10
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];
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constmaxKnapsackWeight=17;
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constknapsack=newKnapsack(possibleKnapsackItems,maxKnapsackWeight);
@@ -109,4 +134,29 @@ describe('Knapsack', () => {
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expect(knapsack.selectedItems[1].toString()).toBe('v20 w2 x 1');
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expect(knapsack.selectedItems[2].toString()).toBe('v10 w1 x 1');
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});
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it('should solve unbound knapsack problem with items in stock and max weight more than sum of all items',()=>{
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constpossibleKnapsackItems=[
140+
newKnapsackItem({value:84,weight:7,itemsInStock:3}),// v/w ratio is 12
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newKnapsackItem({value:5,weight:2,itemsInStock:2}),// v/w ratio is 2.5
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newKnapsackItem({value:12,weight:3,itemsInStock:1}),// v/w ratio is 4
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newKnapsackItem({value:10,weight:1,itemsInStock:6}),// v/w ratio is 10
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newKnapsackItem({value:20,weight:2,itemsInStock:8}),// v/w ratio is 10
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];
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constmaxKnapsackWeight=60;
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constknapsack=newKnapsack(possibleKnapsackItems,maxKnapsackWeight);
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knapsack.solveUnboundedKnapsackProblem();
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expect(knapsack.totalValue).toBe((3*84)+(2*5)+(1*12)+(6*10)+(8*20));
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expect(knapsack.totalWeight).toBe((3*7)+(2*2)+(1*3)+(6*1)+(8*2));
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expect(knapsack.selectedItems.length).toBe(5);
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expect(knapsack.selectedItems[0].toString()).toBe('v84 w7 x 3');
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expect(knapsack.selectedItems[1].toString()).toBe('v20 w2 x 8');
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expect(knapsack.selectedItems[2].toString()).toBe('v10 w1 x 6');
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expect(knapsack.selectedItems[3].toString()).toBe('v12 w3 x 1');
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expect(knapsack.selectedItems[4].toString()).toBe('v5 w2 x 2');
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});
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});

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