#include <math.h>
#include <stdio.h>
#include <string.h>
#include <iostream>
#include <algorithm>
#define ll long long
using namespace std;
const int N = 1005;
int t, n, m, ans;
int top, s[N];
struct Point{
    double x, y, v;
    int id;
    bool operator<(const Point &a)const{
        if(y == a.y)
            return x < a.x;
        return y < a.y;
    }
    bool isEqual(Point a){
        return (x == a.x && y == a.y && v == a.v);
    }
    double getCross(Point a, Point b){
        return (a.x-x)*(b.y-y)-(a.y-y)*(b.x-x);
    }
}p[N], tmp[N], stk[N];

void Graham(int cnt){
    top = 1;
    sort(tmp, tmp+cnt);
    if(!cnt){
        top = 0;
        return;
    }
    stk[0] = tmp[0];
    if(cnt == 1){
        top = 1;
        return;
    }
    stk[1] = tmp[1];
    if(cnt == 2){
        top = 2;
        return;
    }
    for(int i = 2; i < cnt; i ++){
        while(top && stk[top-1].getCross(stk[top], tmp[i]) < 0)
            top--;
        stk[++top] = tmp[i];
    }
    int len = top;
    stk[++top] = tmp[cnt-2];
    for(int i = cnt-3; i+1; i --){
        while(top != len && stk[top-1].getCross(stk[top], tmp[i]) < 0)
            top--;
        stk[++top] = tmp[i];
    }
}
int main(){
    ans = 1;
    while(scanf("%d", &n) && n){
        double Max = 0;
        for(int i = 0; i < n; i ++){
            scanf("%lf%lf%lf", &p[i].x, &p[i].y, &p[i].v);
            p[i].id = i;
            Max = max(Max, p[i].v);
        }
        printf("Case #%d: ", ans++);
        if(Max == 0){
            for(int i = 0; i < n; i ++){
                printf("0");
            }
            printf("\n");
            continue;
        }
        for(int i = 0; i < n-1; i ++){
            for(int j = i+1; j < n; j ++){
                if(p[i].isEqual(p[j])){
                    p[j].v = 0;
                    s[i] = s[j] = -1;
                }
            }
        }
        int cnt = 0;
        for(int i = 0; i < n; i ++){
            if(p[i].v == Max){
                tmp[cnt++] = p[i];
            }
        }
        Graham(cnt);
        for(int i = 0; i < top; i ++){
            if(s[stk[i].id] != -1){
                s[stk[i].id] = 1;
            }
        }
        for(int i = 0; i < n; i ++){
            printf("%d", s[i] > 0);
            s[i] = 0;
        }
        printf("\n");
    }
    return 0;
}