HDU 2602 - Bone Collector - [01背包模板题] - 开发语言

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题目链接：http://acm.hdu.edu.cn/showproblem.php?pid=2602

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 ?

InputThe 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.
OutputOne 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

题解：

01背包模板题。

AC代码：

二维数组写法：

#include<cstdio>
#include<algorithm>
using namespace std; unsigned long max_weight[][];//max_weight[i][j]:前i个骨头中，容量为j的背包里能放的下的最大重量
struct type{
int v;
int w;
}bone[]; int main()
{
int n,V;
int t;scanf("%d",&t);
while(t--){
scanf("%d%d",&n,&V);
for(int i=;i<=n;i++) scanf("%d",&bone[i].w);
for(int i=;i<=n;i++) scanf("%d",&bone[i].v); for(int j=;j<=V;j++){
if(bone[].v <= j) max_weight[][j]=bone[].w;
else max_weight[][j]=;
} for(int i=;i<=n;i++){
for(int j=;j<=V;j++){
if(j<bone[i].v) max_weight[i][j]=max_weight[i-][j];
else max_weight[i][j]=max( max_weight[i-][j] , max_weight[i-][ (j-bone[i].v) ] + bone[i].w );
}
} printf("%d\n",max_weight[n][V]);
}
}

减小空间复杂度，滚动一维数组写法：

#include<cstdio>
#include<algorithm>
using namespace std; unsigned long max_weight[];
struct type{
int v;
int w;
}bone[]; int main()
{
int n,V;
int t;scanf("%d",&t);
while(t--){
scanf("%d%d",&n,&V);
for(int i=;i<=n;i++) scanf("%d",&bone[i].w);
for(int i=;i<=n;i++) scanf("%d",&bone[i].v); for(int j=;j<=V;j++){
if(bone[].v <= j) max_weight[j]=bone[].w;
else max_weight[j]=;
} for(int i=;i<=n;i++){
for(int j=V;j>=;j--){
if(j<bone[i].v) max_weight[j]=max_weight[j];
else max_weight[j]=max( max_weight[j] , max_weight[ (j-bone[i].v) ] + bone[i].w );
}
} printf("%d\n",max_weight[V]);
}
}