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 (1.14.1) (judge verdict: Accepted)

package main

import (
	"bufio"
	"fmt"
	"os"
)

func main() {
	_, A, B, C, D := ReadInt(), ReadInt()-1, ReadInt()-1, ReadInt()-1, ReadInt()-1
	S := ReadString()

	// A -> C
	preBlock := false
	for i := A; i <= C; i++ {
		if S[i] == '#' {
			if preBlock {
				fmt.Println("No")
				return
			}
		}
		preBlock = S[i] == '#'
	}

	// B -> D
	preBlock = false
	for i := B; i <= D; i++ {
		if S[i] == '#' {
			if preBlock {
				fmt.Println("No")
				return
			}
		}
		preBlock = S[i] == '#'
	}

	if C < D {
		fmt.Println("Yes")
		return
	}

	// B -> D
	seq := 0
	for i := B - 1; i <= D+1; i++ {
		if S[i] == '.' {
			seq++
			if seq >= 3 {
				fmt.Println("Yes")
				return
			}
		} else {
			seq = 0
		}
	}
	fmt.Println("No")
}

var reader = bufio.NewReader(os.Stdin)

func Scan(a ...interface{}) {
	if _, err := fmt.Fscan(reader, a...); err != nil {
		panic(err)
	}
}
func ReadInt() (i int)       { Scan(&i); return }
func ReadString() (s string) { Scan(&s); return }
func ReadInts(n int) []int {
	v := make([]int, n)
	for i := 0; i < n; i++ {
		Scan(&v[i])
	}
	return v
}