Problem:
Score : 400 points

Problem Statement

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.

Sample Input 1

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

Sample Output 1

Yes

The objective is achievable by, for example, moving the two persons as follows. (A and B represent Snuke and Fnuke, respectively.)

A#B.#..

A#.B#..

.#AB#..

.#A.#B.

.#.A#B.

.#.A#.B

.#..#AB

Sample Input 2

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

Sample Output 2

No

Sample Input 3

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

Sample Output 3

Yes

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)

// https://atcoder.jp/contests/agc034/tasks/agc034_a

import java.util.Scanner;

class Main{
    public static void main(String[] args){
        Scanner sc = new Scanner(System.in);
        int N = sc.nextInt();
        int A = sc.nextInt();
        int B = sc.nextInt();
        int C = sc.nextInt();
        int D = sc.nextInt();
        String S = sc.next();
        sc.close();
        boolean pass = true;
        for (int i=A+2;i<Math.max(C,D)-1;i++){
            String s1 = String.valueOf(S.charAt(i-1));
            String s2 = String.valueOf(S.charAt(i));
            if (s1.equals("#") && s2.equals("#")){
                System.out.println("No");
                return;
            }
        }
        for (int i=B;i<Math.min(C, D);i++){
            String s1 = String.valueOf(S.charAt(i-1));
            String s2 = String.valueOf(S.charAt(i));
            String s3 = String.valueOf(S.charAt(i+1));
            if (C>D){
                if (s1.equals(".") && s2.equals(".") && s3.equals(".")){
                    pass = true;
                    break;
                } else {
                    pass = false;
                }
            }
        }
        if (pass){
            System.out.println("Yes");
        } else {
            System.out.println("No");
        }
    }
}