Bone Collector
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 29954 Accepted Submission(s): 12323
Problem Description
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 ?
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 ?

Input
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.
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.
Output
One integer per line representing the maximum of the total value (this number will be less than 2
31).
Sample Input
1 5 10 1 2 3 4 5 5 4 3 2 1
Sample Output
14解决方案:01背包经典问题,for i=1....nfor j=sum.....G[i].vdp[j]=max(dp[j],dp[j-G[i].v]+G[i].value);code:#include<iostream> #include<cstdio> #include<cstring> using namespace std; int dp[1003]; int N,V; struct bone{ int value,volume; } B[1003]; int main() { int t; scanf("%d",&t); while(t--){ scanf("%d%d",&N,&V); for(int i=0;i<N;i++){ scanf("%d",&B[i].value); } for(int i=0;i<N;i++){ scanf("%d",&B[i].volume); } memset(dp,0,sizeof(dp)); for(int i=0;i<N;i++) for(int j=V;j>=B[i].volume;j--){ dp[j]=max(dp[j],dp[j-B[i].volume]+B[i].value); } printf("%d\n",dp[V]); } return 0; }