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 Go (1.6) (judge verdict: Accepted)

package main

import "fmt"

func check(s string, a, b int) bool {
	// a から b に行けるか
	for i := a; i+1 <= b; i++ {
		if s[i] == '#' && s[i+1] == '#' {
			return false
		}
	}
	return true
}

func check2(s string, b, d int) bool {
	// b が d までのいい感じのところにいれば a は d+1 までいけるか？
	for i := b - 1; i+2 <= d+1; i++ {
		if s[i] == '.' && s[i+1] == '.' && s[i+2] == '.' {
			return true
		}
	}
	return false
}

func main() {
	var n, a, b, c, d int
	var s string
	fmt.Scan(&n, &a, &b, &c, &d, &s)
	a -= 1
	b -= 1
	c -= 1
	d -= 1

	ans := false
	if c < d {
		ans = check(s, a, c) && check(s, b, d)
	} else {
		ans = check(s, b, d) && check(s, a, c) && check2(s, b, d)
	}

	if ans {
		fmt.Println("Yes")
	} else {
		fmt.Println("No")
	}
}