import java.util.Arrays;
import java.util.Scanner;

public class Main {
	public static void main(String[] args) {
		new Main().run();
	}

	public void run() {
		Scanner sc = new Scanner(System.in);
		int N = sc.nextInt();
		long[] K = new long[N];
		long[] L = new long[N];
		long[] D = new long[N];
		for (int i = 0; i < N; ++i) {
			K[i] = sc.nextLong();
			L[i] = sc.nextLong();
			D[i] = sc.nextLong();
		}
		long ok = (long) (1e18);
		long ng = -1;
		while (ok - ng > 1) {
			long m = (ok + ng) / 2;
			long s = 0;
			for (int i = 0; i < N; ++i) {
				long v = m - L[i];
				if (v < 0)
					continue;
				v /= 1L << D[i];
				v = Math.min(v, K[i] - 1);
				++v;
				s = (s + v) % 2;
			}
			if (s == 1) {
				ok = m;
			} else {
				ng = m;
			}
		}
		System.out.println(ok);
	}

	void tr(Object... objects) {
		System.out.println(Arrays.deepToString(objects));
	}
}