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 ?
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.
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
题意:
第一行输入测试数据的组数。 第二行输入骨头的个数和自己背包的体积。 第三行输入每个骨头的价值。 第四行输入每个骨头的体积。 输出可以获得的最大价值。
此题为背包问题中的一种,一个物品只能拿一次,求最大获得价值。
#include<stdio.h>
#include<string.h>
#define max(a,b) (a>b?a:b)int main()
{int i,j,t,n,m,a[1001],b[1001],dp[1001];scanf("%d",&t);while(t --){scanf("%d%d",&n,&m);memset(dp,0,sizeof(dp));for(i = 1; i <= n; i ++)scanf("%d",&a[i]);for(i = 1; i <= n; i ++)scanf("%d",&b[i]);for(i = 1; i <= n; i ++)for(j = m; j >= b[i]; j --)dp[j] = max(dp[j],dp[j-b[i]]+a[i]);printf("%d\n",dp[m]);}return 0;
}