AC Code
#include <iostream>
#include <stdio.h>
#include <stdlib.h>
#include <string>
#include <string.h>
#include <algorithm>
#include <math.h>
#include <limits.h>
#include <queue>
#include <time.h>
#define inf 0x3f3f3f3f
#define maxn 1010
#define MOD 50000
using namespace std;
const double pi=acos(-1.0),ee=2.7182818284590452354;
int n,x[1000],y[1000],z[1000],e[1000][1000],f[1000];
int solve(int cur)
{
if(f[cur]) return f[cur];
f[cur]=z[cur];
for(int i=1;i<=3*n;i++)
if(e[cur][i])
f[cur]=max(f[cur],solve(i)+z[cur]);
return f[cur];
}
int main(int argc, char** argv) {
int cas=0;
while(cin>>n,n){
int i,j,maxx;
cas++;
for(i=1;i<=3*n;i+=3)
{
scanf("%d%d%d",&x[i],&y[i],&z[i]);
z[i+1]=x[i];y[i+1]=y[i];x[i+1]=z[i];
z[i+2]=y[i];y[i+2]=z[i];x[i+2]=x[i];
}
memset(e,0,sizeof(e));
for(i=1;i<=3*n;i++)
for(j=1;j<=3*n;j++)
{
if((x[i]>x[j]&&y[i]>y[j])||(x[i]>y[j]&&y[i]>x[j]))
e[i][j]=1;
}
maxx=0;
for(i=1;i<=3*n;i++)
{
memset(f,0,sizeof(f));
maxx=max(maxx,solve(i));
}
cout<<"Case "<<cas<<": maximum height = "<<maxx<<endl;
}
return 0;
}