forked from starrohan999/Hacktoberfest-Accepted
-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy pathFractional knapsack.CPP
61 lines (47 loc) · 1.1 KB
/
Fractional knapsack.CPP
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
#include <bits/stdc++.h>
using namespace std;
struct Item
{
int value, weight;
Item(int value, int weight)
{
this->value = value;
this->weight = weight;
}
};
bool cmp(struct Item a, struct Item b)
{
double r1 = (double)a.value / (double)a.weight;
double r2 = (double)b.value / (double)b.weight;
return r1 > r2;
}
double fractionalKnapsack(int W, struct Item arr[], int n)
{
sort(arr, arr + n, cmp);
int curWeight = 0;
double finalvalue = 0.0;
for (int i = 0; i < n; i++)
{
if (curWeight + arr[i].weight <= W)
{
curWeight += arr[i].weight;
finalvalue += arr[i].value;
}
else
{
int remain = W - curWeight;
finalvalue += arr[i].value * ((double)remain / (double)arr[i].weight);
break;
}
}
return finalvalue;
}
int main()
{
int W = 50;
Item arr[] = {{60, 10}, {100, 20}, {120, 30}};
int n = sizeof(arr) / sizeof(arr[0]);
cout << "Maximum value we can obtain = "
<< fractionalKnapsack(W, arr, n);
return 0;
}