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 231).
Sample Input
1
5 10
1 2 3 4 5
5 4 3 2 1
Sample Output
14
dp[i][v]=max{dp[i-1][v],dp[i-1][v-cost[i]]+value[i]}
1 #include<cstdio> 2 #include<algorithm> 3 #include<string.h> 4 using namespace std; 5 int f[1010][1010]; 6 int w[1010]; 7 int v[1010]; 8 int main() 9 { 10 int t; 11 scanf("%d",&t); 12 while(t--) 13 { 14 int n,m,i,j; 15 scanf("%d %d",&n,&m); 16 for(i = 1 ; i <= n ; i++) 17 { 18 scanf("%d",&v[i]); 19 } 20 for(i = 1 ; i <= n ; i++) 21 { 22 scanf("%d",&w[i]); 23 } 24 memset(f,0,sizeof(f)); 25 for(i = 1 ; i <= n ; i++) 26 { 27 for(j = 0 ; j <= m ; j++) 28 { 29 f[i][j]=f[i-1][j]; 30 if(j >= w[i]) 31 { 32 f[i][j]=max(f[i-1][j],f[i-1][j-w[i]]+v[i]); 33 } 34 } 35 } 36 printf("%d ",f[n][m]); 37 } 38 }
1 #include<cstdio> 2 #include<algorithm> 3 #include<string.h> 4 using namespace std; 5 int f[1010]; 6 int w[1010]; 7 int v[1010]; 8 int main() 9 { 10 int t; 11 scanf("%d",&t); 12 while(t--) 13 { 14 int n,m,i,j; 15 scanf("%d %d",&n,&m); 16 for(i = 1 ; i <= n ; i++) 17 { 18 scanf("%d",&v[i]); 19 } 20 for(i = 1 ; i <= n ; i++) 21 { 22 scanf("%d",&w[i]); 23 } 24 memset(f,0,sizeof(f)); 25 for(i = 1 ; i <= n ; i++) 26 { 27 for(j = m ; j >= 0 ; j--) 28 { 29 if(j >= w[i]) 30 { 31 f[j]=max(f[j],f[j-w[i]]+v[i]); 32 } 33 } 34 } 35 printf("%d ",f[m]); 36 } 37 }