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)

lines = readlines.map(&:strip)

n, a, b, c, d = lines.shift.split.map(&:to_i)
s = lines.shift.split('')

blocker_index = []
(s.size-1).times do |index|
  blocker_index.push(index) if (s[index..index+1].join)=='##'
end

blocker_index.each do |index|
  if (a-1 <= index && index <= c-1) || (b-1 <= index && index <= d-1)
    puts 'Yes'
    exit
  end
end

if (d < c)
  # first B
  if s[d]=='.' && s[d-2]=='.'
    puts 'Yes'
    exit
  end

  space_index = []
  (s.size-2).times do |index|
    space_index.push(index) if (s[index..index+2].join)=='...'
  end

  space_index.each do |index|
    if ((b-1 <= index && index <= d-1))
      puts 'Yes'
      exit
    end
  end

  # first A
  if s[b]=='.' && s[b-2]=='.' 
    puts 'Yes'
    exit
  end

  puts 'No'
else
  puts 'Yes'
end