1 #include<stdio.h> 2 #include<string.h> 3 #include<algorithm> 4 #define doumax(a,b) (a>b?a:b) 5 const int maxn=100; 6 int mat[maxn][maxn],dp[maxn],n,a[35][5],nodenum; 7 struct node{ 8     int l,w,h; 9     void init(int x,int y,int z)10     {11         l=x;w=y;h=z;12     }13     bool operator<(const node & temp)14     {15         return l<temp.l && w<temp.w;16     }17 }block[maxn];18 int dpmodel(int i);19 int main()20 {21     int t=1;22     while(scanf("%d",&n)==1 && n){23         nodenum=0;24         memset(mat,0,sizeof(mat));25         memset(dp,0,sizeof(dp));26         for(int i=0;i<n;i++){27             scanf("%d%d%d",&a[i][0],&a[i][1],&a[i][2]);28             std::sort(a[i],a[i]+3);29             for(int j=0;j<2;j++)30             for(int k=j+1;k<3;k++)31                 block[++nodenum].init(a[i][j],a[i][k],a[i][3-j-k]);32             }33             for(int i=1;i<=nodenum;i++)34             for(int j=i+1;j<=nodenum;j++){35                 if(block[i]<block[j])36                     mat[i][j]=1;37                 else if(block[j]<block[i])38                     mat[j][i]=1;39             }40             int maxheight=0;41             for(int i=1;i<=nodenum;i++){42                 if(!dp[i]){43                     int ans=dpmodel(i);44                     if(maxheight<ans)45                     maxheight=ans;46                 }47             }48             printf("Case %d: maximum height = %d\n",t++,maxheight);49         }50         return 0;51 }52 int dpmodel(int i)53 {54     if(dp[i]>0)55         return dp[i];56     dp[i]=block[i].h;57     for(int j=1;j<=nodenum;j++)58         if(mat[i][j])59         dp[i]=doumax(dp[i],dpmodel(j)+block[i].h);60     return dp[i];61 }