/*  This Code is Submitted by wywcgs for Problem 1135 on 2005-12-30 at 18:31:55 */ 
#include <cstdio>
#include <algorithm>
using namespace std;

const int MAX = 32;

class Com {
public:
	int a, b, r, g, c;
	void make();
	bool suit(const int) const;
};
void Com::make() {
	scanf("%d %d %d", &c, &a, &b);
	r = c - a, g = b - a;
}
bool Com::suit(const int n) const {
	return ((n-a)%g == r);
}

int main()
{
	Com com[MAX];
	int n, y;
	int i, t;

	for(t = 1; scanf("%d", &n) != EOF && n != 0; t++) {
		int m = 0, my = 0;
		for(i = 0; i < n; i++) {
			com[i].make();
			if(com[m].g < com[i].g) m = i;
			my = max(my, com[i].c);
		}
		for(y = com[m].c; y < 10000; y += com[m].g) {
			if(my > y) continue;
			for(i = 0; i < n; i++) {
				if(!com[i].suit(y)) break;
			}
			if(i == n) break;
		}
		printf("Case #%d:\n", t);
		if(y >= 10000) printf("Unknown bugs detected.\n\n");
		else printf("The actual year is %d.\n\n", y);
	}
	
	return 0;
}