Tak performed the following action N times: rolling two dice. The result of the i-th roll is D_{i,1} and D_{i,2}.

Check if doublets occurred at least three times in a row. Specifically, check if there exists at lease one i such that D_{i,1}=D_{i,2}, D_{i+1,1}=D_{i+1,2} and D_{i+2,1}=D_{i+2,2} hold.

Constraints

* 3 \leq N \leq 100
* 1\leq D_{i,j} \leq 6
* All values in input are integers.

Input

Input is given from Standard Input in the following format:


N
D_{1,1} D_{1,2}
\vdots
D_{N,1} D_{N,2}


Output

Print `Yes` if doublets occurred at least three times in a row. Print `No` otherwise.

Examples

Input

5
1 2
6 6
4 4
3 3
3 2


Output

Yes


Input

5
1 1
2 2
3 4
5 5
6 6


Output

No


Input

6
1 1
2 2
3 3
4 4
5 5
6 6


Output

Yes
import java.util.Scanner;

public class Main {

	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		int N = sc.nextInt();
		int[][] D = new int[N][2];

		for (int i = 0; i < D.length; i++) {
			D[i][0] = sc.nextInt();
			D[i][1] = sc.nextInt();
		}

		for (int i = 0; i < D.length - 2; i++) {
			if (D[i][0] == D[i][1] && D[i + 1][0] == D[i + 1][1] && D[i + 2][0] == D[i + 2][1]) {
				System.out.print("Yes");
				return;
			}
		}

		System.out.print("No");
	}

}