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: Accepted)


import java.util.Scanner;

public class Main {
    public static void main(String[] args) {
        final Scanner scanner = new Scanner(System.in);
        final int length = scanner.nextInt();
        final int a = scanner.nextInt();
        final int b = scanner.nextInt();
        final int c = scanner.nextInt();
        final int d = scanner.nextInt();

        scanner.nextLine();
        final char[] road = scanner.nextLine().toCharArray();

        if (d > c) {
            if (check(road, a, c) && check(road, b, d)) {
                System.out.println("Yes");
            } else
                System.out.println("No");
        } else {
            if (!(check(road, a, c) && doubleCheck(road, b, d))) {
                System.out.println("No");
                return;
            }

            if (check(road, b, d)) {
                System.out.println("Yes");
            } else {
                System.out.println("No");
            }
        }
    }

    private static boolean check(char[] roads, final int begin, final int end) {
        if (roads[begin - 1] == '#' || roads[end - 1] == '#') return false;
        for (int i = begin; i < end; i++) {
            if (roads[i] == '#' && roads[i - 1] == '#') {
                return false;
            }
        }

        return true;
    }

    private static boolean doubleCheck(final char[] road, final int begin, final int end) {
        int counter = 0;
        for (int i = begin - 2; i < end + 1; i++) {
            if (road[i] == '.') {
                counter++;
                if (counter == 3) {
                    return true;
                }
            } else {
                counter = 0;
            }
        }
        return false;
    }
}