There are N squares arranged in a row, numbered 1, 2, ..., N from left to right. You are given a string S of length N consisting of `.` and `#`. If the i-th character of S is `#`, Square i contains a rock; if the i-th character of S is `.`, Square i is empty.

In the beginning, Snuke stands on Square A, and Fnuke stands on Square B.

You can repeat the following operation any number of times:

* Choose Snuke or Fnuke, and make him jump one or two squares to the right. The destination must be one of the squares, and it must not contain a rock or the other person.



You want to repeat this operation so that Snuke will stand on Square C and Fnuke will stand on Square D.

Determine whether this is possible.

Constraints

* 4 \leq N \leq 200\ 000
* S is a string of length N consisting of `.` and `#`.
* 1 \leq A, B, C, D \leq N
* Square A, B, C and D do not contain a rock.
* A, B, C and D are all different.
* A < B
* A < C
* B < D

Input

Input is given from Standard Input in the following format:


N A B C D
S


Output

Print `Yes` if the objective is achievable, and `No` if it is not.

Examples

Input

7 1 3 6 7
.#..#..


Output

Yes


Input

7 1 3 7 6
.#..#..


Output

No


Input

15 1 3 15 13
...#.#...#.#...


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 a = sc.nextInt()-1;
		int b = sc.nextInt()-1;
		int c = sc.nextInt()-1;
		int d = sc.nextInt()-1;
		
		String s = sc.next();
		
		if (c<d) {
			if (reachable(a,c,s) && reachable(b,d,s)) {
				System.out.println("Yes");
			} else {
				System.out.println("No");
			}
		} else {
			if (reachable(a,c,s) && passable(b,d,s)) {
				System.out.println("Yes");
			} else {
				System.out.println("No");
			}
		}
		


	}
	
	
	static boolean reachable(int start, int end, String s) {
		for (int i=start; i<end; i++) {
			if (s.charAt(i)=='#' && s.charAt(i+1)=='#') {
				return false;
			}
		}
		return true;
	}
	
	static boolean passable (int start, int end, String s) {
		for (int i=start; i<=end; i++) {
			if (s.charAt(i-1)=='.' && s.charAt(i)=='.' && s.charAt(i+1)=='.') {
				return true;
			}
		}
		return false;
	}
}