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Relocation
Description Emma and Eric are moving to their new house they bought after returning from their honeymoon. Fortunately, they have a few friends helping them relocate. To move the furniture, they only have two compact cars, which complicates everything a bit. Since the
Note, that the group is always staying together so that they can have more fun and nobody feels lonely. Since the distance between the houses is quite large, Eric wants to make as few trips as possible. Given the weights wi of each individual piece of furniture and the capacities C1 and C2 of the two cars, how many trips to the new house does the party have to make to move all the furniture? If Input The first line contains the number of scenarios. Each scenario consists of one line containing three numbers n, C1 and C2. C1 and C2 are the capacities of the cars (1 Output The output for every scenario begins with a line containing “Scenario #i:”, where i is the number of the scenario starting at 1. Then print a single line with the number of trips to the new house they have to make to move Sample Input 2 6 12 13 3 9 13 3 10 11 7 1 100 1 2 33 50 50 67 98 Sample Output Scenario #1: 2 Scenario #2: 3 Source TUD Programming Contest 2006, Darmstadt, Germany |
两辆车运家具，先把所有能一次运走的家具组合用状压找出来，后用背包在所有的组合找最少的运的次数
代码：
#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
using namespace std;
const int maxn=5000;
const int inf=0x7ffffff;
int dp[maxn],vis[maxn],a[maxn];
int w[maxn];
int n,c1,c2;
bool check(int x)//判断当前状态下是否能够一次运完
{
int sum=0;
memset(vis,0,sizeof(vis));
vis[0]=1;
for(int i=0;i<n;i++)
{
if(x&(1<<i))
{
sum+=w[i];
for(int j=c1-w[i];j>=0;j--)//01背包
{
if(vis[j])
vis[j+w[i]]=1;
}
}
}
for(int i=c1;i>=0;i--)
{
if(vis[i]&&sum-i<=c2)
return true;
}
return false;
}
int main()
{
int t,sign=0,count=1;
scanf("%d",&t);
while(t--)
{
if(sign)
printf("\n");
else
sign=1;
scanf("%d%d%d",&n,&c1,&c2);
for(int i=0;i<n;i++)
{
scanf("%d",&w[i]);
}
int cur=(1<<n)-1;
int cnt=0;
//遍历所有的状态，将所有可以一次运完的储存在a数组内
for(int i=0;i<=cur;i++)
{
if(check(i))
a[cnt++]=i;
}
for(int i=0;i<maxn;i++)
dp[i]=inf;
dp[0]=0;
for(int i=0;i<cnt;i++)//背包
{
for(int j=cur-a[i];j>=0;j--)
{
dp[j|a[i]]=min(dp[j|a[i]],dp[j]+1);
}
}
printf("Scenario #%d:\n%d\n",count++,dp[cur]);
}
return 0;
}