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Solution for 0-1 Knapsack Problem.
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import java.util.Arrays; | |
import java.util.stream.Collectors; | |
import java.util.stream.IntStream; | |
public class ZeroOneKnapsackProblem { | |
public static void main(String[] args) { | |
int max = 8; | |
int n = 4; | |
int[] p = {1, 2, 5, 6}; | |
int[] w = {2, 3, 4, 5}; | |
int[] sol = new int[n]; | |
int[][] arr = new int[n + 1][max + 1]; | |
IntStream.range(1, arr.length).boxed().forEach(i -> { | |
IntStream.range(1, arr[i].length).boxed().forEach(j -> { | |
if (w[i - 1] > j) { | |
arr[i][j] = arr[i - 1][j]; | |
} else { | |
arr[i][j] = p[i - 1]; | |
int rem = (j - w[i - 1]); | |
if (rem >= 0) { | |
arr[i][j] = Integer.max(arr[i][j], (arr[i][j] + arr[i - 1][rem])); | |
} | |
} | |
}); | |
}); | |
for (int[] a: arr) { | |
System.out.println(Arrays.toString(a)); | |
} | |
System.out.println(""); | |
for (int i = n; i > 0; i--) { | |
if (!Arrays.stream(arr[i - 1]).boxed().collect(Collectors.toList()).contains(max)) { | |
sol[i - 1] = 1; | |
max -= p[i - 1]; | |
} | |
} | |
System.out.println("Solution: " + Arrays.toString(sol)); | |
} | |
} |
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