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.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.HashMap;
import java.util.Map;

public class Main {

	public static void main(String[] args) throws IOException {
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));

		int n = Integer.parseInt(br.readLine());

		int count = 0;
		for (int i = 0; i < n; i++) {
			String str[] = br.readLine().split(" ");

			int a = Integer.parseInt(str[0]);
			int b = Integer.parseInt(str[1]);

			if (a == b) {
				count++;
			} else {
				count = 0;
			}
			if (count >= 3) {
				System.out.println("Yes");
				return;
			}
		}
		System.out.println("No");
	}
}
