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Knapsack Problem
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import java.text.DecimalFormat; | |
/* | |
1 2 3 4 5 6 7 | |
10 5 15 7 6 18 3 | |
2 3 5 7 1 4 1 | |
5 1.6 3 0 6 4.5 3 | |
5 1 14 1 X 6 | |
1 2 12 2 X 5 | |
6 4 8 4 X 4.5 | |
3 5 3 5 X 3 | |
7 1 2 1 X 3 | |
2 2 0 2 X 1.67 | |
55.2 | |
*/ | |
public class KnapsackProblem { | |
public static void main(String[] args) { | |
int[] weights = {2, 3, 5, 7, 1, 4, 1}; | |
int[] profits = {10, 5, 15, 7, 6, 18, 3}; | |
System.out.println(getMaxProfit(weights, profits, 15, 7)); | |
} | |
private static double getMaxProfit(int[] weights, int[] profits, int maxCapacity, int n) { | |
double[] profitWeightRatios = new double[n]; | |
for (int i = 0; i < n; i++) { | |
profitWeightRatios[i] = Double.parseDouble(new DecimalFormat("#.##") | |
.format((double) profits[i] / (double) weights[i])); | |
} | |
for (int i = 0; i < n - 1; i++) { | |
for (int j = (i + 1); j < n; j++) { | |
if (profitWeightRatios[i] >= profitWeightRatios[j]) { | |
swap(profitWeightRatios, i, j); | |
swap(weights, i, j); | |
} | |
} | |
} | |
double maxProfit = 0; | |
for (int i = n - 1; i >= 0; i--) { | |
if (maxCapacity == 0) { | |
break; | |
} | |
if (maxCapacity - weights[i] < 0) { | |
maxProfit += (double) maxCapacity * profitWeightRatios[i]; | |
maxCapacity = 0; | |
} else { | |
maxCapacity -= weights[i]; | |
maxProfit += (double) weights[i] * profitWeightRatios[i]; | |
} | |
} | |
return maxProfit; | |
} | |
private static void swap(double[] arr, int a, int b) { | |
double temp = arr[a]; | |
arr[a] = arr[b]; | |
arr[b] = temp; | |
} | |
private static void swap(int[] arr, int a, int b) { | |
int temp = arr[a]; | |
arr[a] = arr[b]; | |
arr[b] = temp; | |
} | |
} |
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