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 (2.7.1) (judge verdict: Wrong Answer)

n,a,b,c,d = gets.chomp.split(" ").map(&:to_i)
s = gets.chomp
stop = []
(n-1).times do |i|
  if s[i] == '#' && s[i+1] == '#'
    stop.push(i)
  end
end
stop.each do |x|
  if (x+1 > a && x+2 < c) || (x+1 > b && x+2 < d)
    puts "No"
    exit
  end
end
first_i = 0
end_i = n-1
stop.each do |x|
  if x + 1 < a - 1
    first_i = x + 2
  elsif c - 1 < x && end_i == n-1
    end_i = x-1
  end
end
if b < c && c < d
  puts "Yes"
elsif b < c && c > d
  first_i.upto(end_i) do |i|
    if s[i] == '.' && s[i+1] == '.' && s[i+2] == '.'
      puts "Yes"
      exit
    end
  end
  puts "No"
else
  puts "No"
end