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 Kotlin (1.0.0) (judge verdict: Accepted)

fun main(args : Array<String>) {
    val (N, A, B, C, D) = readLine()!!.split(" ").map { it.toInt() }
    val S = readLine()!!

    var a = A - 1
    var b = B - 1
    val shouldAPassOver = D < C

    while (true) {
        if (a == (C -1) && b == (D - 1)) {
            println("Yes")
            return
        }
        val canAMove1 = if (a + 1 >= N) false else S[a + 1] == '.'
        val canAMove2 = if (a + 2 >= N) false else S[a + 2] == '.'
        val canBMove1 = if (b + 1 >= N) false else S[b + 1] == '.'
        val canBMove2 = if (b + 2 >= N) false else S[b + 2] == '.'

        // Anyone can't move
        if (!(canAMove1 || canAMove2 || canBMove1 || canBMove2)) {
            println("No")
            return
        }

        if (shouldAPassOver) {
            if (canAMove1 && a + 1 != b) {
                a += 1
            } else if (canAMove2 && a + 2 !=b ) {
                a += 2
            } else if (canBMove1) {
                b += 1
            } else {
                b += 2
            }
        } else {
            // Move B first
            if (canBMove1) {
                b += 1
            } else if (canBMove2) {
                b += 2
            } else if (canAMove1) {
                a += 1
            } else if (canAMove2) {
                a += 2
            }
        }
    }
}