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: Runtime Error)

require 'pp'

n, a, b, c, d = gets.chomp.split.map(&:to_i)
s = gets.chomp

stage = ['-']
s.chars.each_with_index do |str, i|
  stage[i + 1] = str == '.' ? '.' : '#'
end
stage[a] = 'A'
stage[b] = 'B'

lastb = b
loop do
  if stage[b + 1] == '.'
    stage[b] = '.'
    stage[b + 1] = 'B'
    b += 1
  elsif stage[b + 2] == '.'
    stage[b] = '.'
    stage[b + 2] = 'B'
    b += 2
  end
  break if stage[d] == 'B'
  if lastb == b
    puts 'No'
    return
  end
  lastb = b
end


lasta = a
loop do
  if stage[a + 1] == '.'
    stage[a] = '.'
    stage[a + 1] = 'A'
    a += 1
  elsif stage[a + 2] == '.'
    stage[a] = '.'
    stage[a + 2] = 'A'
    a += 2
  end
  break if stage[c] == 'A'
  if lasta == a
    puts 'No'
    return
  end
  lasta = a
end

puts 'Yes'