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: Accepted)

numbers = gets.chomp.split(' ').map(&:to_i)
@s = gets.chomp.split('').map(&:to_s)
@n = numbers.first
@a = numbers[1]
@b = numbers[2]
@c = numbers[3]
@d = numbers[4]
@abcd = [@a, @b, @c, @d]
@output = 'Yes'

def ng
  @output = 'No'
end

# @return Bool
def double_rock_between_min_and_max
  @s.each_with_index do |v, i|
    next if (@abcd.min > i + 1 || @abcd.max < i + 1)
    return true if (v == '#' && @s[i + 1] == '#')
  end
  return false
end

# Exists triple empty between C and D
# @return Bool
def exists_triple
  @s.each_with_index do |_, i|
    next if ((i + 1 < @b - 1) || (i + 1 > @d - 1))
    return true if ([@s[i], @s[i + 1], @s[i + 2]] == ['.', '.', '.'])
  end
  return false
end

if @c == @d || double_rock_between_min_and_max
  ng
elsif @c < @d
elsif @c > @d
  ng unless exists_triple
end


print @output