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.*;
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();
    sc.close();
    char[] ch = s.toCharArray();
    //boolean root = true;
    boolean change = false;
    for (int i=a+1;i<Math.max(c,d)-1;i++){
      if (ch[i] == '#'){
        i++;
        if (ch[i] == '#'){
          //root = false;
          System.out.println("No");
          System.exit(0);
        }
      }
    }
    if (c>d){
      int count = 0;
      for (int i=b-1;i<d+2;i++){
        if (ch[i] == '.'){
          count++;
          if (count ==3){
            System.out.println("Yes");
            System.exit(0);
          }
        }else{
          count = 0;
        }
      }
      System.out.println("No");
      System.exit(0);
    }else{
      System.out.println("Yes");
    }
  }
}