//============================================================================
// Name        : main1044.cpp
// Author      : 
// Version     :
// Copyright   : Your copyright notice
// Description : Hello World in C++, Ansi-style
//============================================================================

#include <iostream>
using namespace std;

int gcd(int a, int b){
	if(!a) return b;
	if(!b) return a;
	if(a > b) return gcd(b, a%b);
	else return gcd(a, b%a);
}

int lcm(int a, int b){
	return a / gcd(a, b) * b;
}

int main() {/*
	while(1){
		int testa, testb;
		cin >> testa >> testb;
		if(!(testa+testb)) break;
		cout << gcd(testa, testb) << endl;
	}*/
	int cnt = 0;
	while(1){
		cnt++;
		int n;
		cin >> n;
		if(!n) return n;
		cout << "Case #" << cnt << ":" << endl;
		int y[21], b[21], a[21];
		for(int i = 0; i < n; i++){
			cin >> y[i] >> a[i] >> b[i];
		}
		bool bugious = false;
		int start = y[0];
		int step = b[0] - a[0];
		for(int i = 1; i < n; i++){
			while(1){
				if(start >= 10000){
					bugious = true;
					break;
				}
				if(start >= y[i] && !((start-y[i])%(b[i]-a[i]))){
					break;
				}
				start += step;
			}
			if(bugious){
				break;
			}
			step = lcm(step, b[i]-a[i]);
		}
		//cout << start << endl;
		if(bugious){
			cout << "Unknown bugs detected." << endl << endl;
			continue;
		}
		cout << "The actual year is " << start << "." << endl << endl;
	}
	//cout << "!!!Hello World!!!" << endl; // prints !!!Hello World!!!
	return 0;
}