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 Ruby (2.3.3) (judge verdict: Wrong Answer)

n, a, b, c, d = gets.chomp!.split(" ").map(&:to_i)
s = "##{gets.chomp!}#"

if c < b # a < c < b < d
    if [
        s[a, c-a].include?("##"),
        s[b, d-b].include?("##")
    ].any?
        puts "No"
    else
        puts "Yes"
    end
elsif c < d # a < b < c < d
    if s[a, d-a].include?("##")
        puts "No"
    else
=begin
        pos = b - a >=2 ? b - 2: a
        puts pos
        puts c+2-pos
        if s[pos, c+2-pos].include?("...")
            puts "YES4"
        else
            puts "NO5"
        end
=end
        puts "Yes"
    end
else # a < b < d < c
    if s[a, c-a].include?("##")
        puts "No"
    else
        pos, len = b - a >= 2 ? b - 2: a
        puts pos
        puts d+2-pos
        if s[pos, d+2-pos].include?("...")
            puts "Yes"
        else
            puts "No"
        end
    end
end