杭电oj（Java版）—— 2602 Bone Collector—— 01背包问题

Bone Collector

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)

Total Submission(s): 59998    Accepted Submission(s): 25024


[align=left]Problem Description[/align]
Many years ago , in Teddy’s hometown there was a man who was called “Bone Collector”. This man like to collect varies of bones , such as dog’s , cow’s , also he went to the grave …

The bone collector had a big bag with a volume of V ,and along his trip of collecting there are a lot of bones , obviously , different bone has different value and different volume, now given the each bone’s value along his trip , can you calculate out the
maximum of the total value the bone collector can get ?



 

[align=left]Input[/align]
The first line contain a integer T , the number of cases.

Followed by T cases , each case three lines , the first line contain two integer N , V, (N <= 1000 , V <= 1000 )representing the number of bones and the volume of his bag. And the second line contain N integers representing the value of each bone. The third
line contain N integers representing the volume of each bone.
 

[align=left]Output[/align]
One integer per line representing the maximum of the total value (this number will be less than 231).
 

[align=left]Sample Input[/align]

1
5 10
1 2 3 4 5
5 4 3 2 1

 

[align=left]Sample Output[/align]

14

 

import java.util.Scanner;

public class Main{
public static void main(String[] args) {
Scanner scanner = new Scanner(System.in);
int n = scanner.nextInt();

for (int i=0;i<n;i++) {
int a = scanner.nextInt();
int v[] = new int[a];	//重量
int w[] = new int[a];	//价值
int W = scanner.nextInt();	//包能容纳的总重量

long dp[] = new long[1005];

for (int j=0;j<a;j++) {
w[j] = scanner.nextInt();
}
for (int j=0;j<a;j++) {
v[j] = scanner.nextInt();
}

for (int j=0;j<a;j++) {
for (int k=W;k>=0;k--) {
if (v[j]<=k) {
dp[k] = Math.max(dp[k], dp[k-v[j]]+w[j]);
}
}
}

System.out.println(dp[W]);
}
}
}