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June 5, 2018 08:52
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#include <stdio.h> | |
struct Item { | |
char id[5]; | |
int weight; | |
int value; | |
float density; | |
}; | |
void fractionalKnapsack(Item items[], int n, int W); | |
int main(void) { | |
//variables | |
int i, j; | |
//list items | |
Item items[6] = { | |
{"i1", 6, 6, 0}, | |
{"i2", 10, 2, 0}, | |
{"i3", 3, 1, 0}, | |
{"i4", 5, 8, 0}, | |
{"i5", 1, 3, 0}, | |
{"i6", 3, 5, 0} | |
}; | |
//temp item | |
Item temp; | |
//number of items | |
int n = 6; | |
//max weight limit of knapsack | |
int W = 16; | |
//compute desity = (value/weight) | |
for(i = 0; i < n; i++) { | |
items[i].density = float(items[i].value) / items[i].weight; | |
} | |
//sort by density in descending order | |
for(i = 1; i < n; i++) { | |
for(j = 0; j < n - i; j++) { | |
if(items[j+1].density > items[j].density) { | |
temp = items[j+1]; | |
items[j+1] = items[j]; | |
items[j] = temp; | |
} | |
} | |
} | |
fractionalKnapsack(items, n, W); | |
return 0; | |
} | |
void fractionalKnapsack(Item items[], int n, int W) { | |
int i, wt; | |
float value; | |
float totalWeight = 0, totalBenefit = 0; | |
for(i = 0; i < n; i++) { | |
if(items[i].weight + totalWeight <= W) { | |
totalWeight += items[i].weight; | |
totalBenefit += items[i].value; | |
printf("Selected Item: %s\tWeight: %d\tValue: %d\tTotal Weight: %f\tTotal Benefit: %f\n", items[i].id, items[i].weight, items[i].value, totalWeight, totalBenefit); | |
} else { | |
wt = (W - totalWeight); | |
value = wt * (float(items[i].value) / items[i].weight); | |
totalWeight += wt; | |
totalBenefit += value; | |
printf("Selected Item: %s\tWeight: %d\tValue: %f\tTotal Weight: %f\tTotal Benefit: %f\n", items[i].id, wt, value, totalWeight, totalBenefit); | |
break; | |
} | |
} | |
printf("Total Weight: %f\n", totalWeight); | |
printf("Total Benefit: %f\n", totalBenefit); | |
} |
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