JZOJ 4743. 积木
Description

Input

Output

Sample Input
3
8 7 6
3 9 4
1 10 5
Sample Output
18
aaarticlea/png;base64,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" alt="" border="0" hspace="0" vspace="0" />
Data Constraint
#include <cstdio>
#include <iostream>
#include <cstring>
#define rep(i,a,b) for (int i=1;i<=n;i++)
#define M 65537
#define N 17
using namespace std;
int a[N],b[N],c[N],n,ans;
int f[M][N][]; void Init(){
scanf("%d",&n);
rep(i,,n) scanf("%d%d%d",&a[i],&b[i],&c[i]);
} void Dfs(int dep,int x,int zt,int situ,int high){
if (f[situ][x][zt]>=high) return;
else f[situ][x][zt]=high,ans=max(ans,high);
if (dep>n){
ans=max(ans,high);
return;
}
int cmpx,cmpy;
if (zt==||zt==) cmpx=a[x]; else cmpx=b[x];
if (zt==||zt==) cmpy=c[x]; else cmpy=b[x];
if (cmpx<cmpy) swap(cmpx,cmpy);
rep(i,,n){
if (<<i&situ) continue;
int xx=a[i],yy=b[i],next=;
if (xx<yy) swap(xx,yy);
if (xx<=cmpx&&yy<=cmpy) Dfs(dep+,i,next,situ|(<<i),high+c[i]); xx=a[i],yy=c[i],next=;
if (xx<yy) swap(xx,yy);
if (xx<=cmpx&&yy<=cmpy) Dfs(dep+,i,next,situ|(<<i),high+b[i]); xx=b[i],yy=c[i],next=;
if (xx<yy) swap(xx,yy);
if (xx<=cmpx&&yy<=cmpy) Dfs(dep+,i,next,situ|(<<i),high+a[i]);
}
} void Work(){
rep(i,,n){
Dfs(,i,,<<i,c[i]);
Dfs(,i,,<<i,b[i]);
Dfs(,i,,<<i,a[i]);
}
printf("%d",ans);
} int main(){
Init();
Work();
}
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