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)

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

rocks = 0
areas = Array.new(n+1, 0)
for i in 0..(n-1)
  if s[i] == "."
    areas[i+1] = areas[i] + 1
    rocks = 0
  elsif s[i] == "#"
    areas[i+1] = 0
    if i >= a - 1 && i <= ([c, d].max - 1)
      rocks += 1
    end
  end
  if rocks >= 2
    break
  end
end
if rocks >= 2
  puts "No"
else
  if c < d
    puts "Yes"
  else
    ifover = 0
    for i in (b+1)..(d+1)
      if areas[i] >= 3
        ifover = 1
        break
      end
    end
    if ifover > 0
      puts "Yes"
    else
      puts "No"
    end
  end
end