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_start, b_start, a_goal, b_goal = gets.split(" ").map(&:to_i)
strings = gets.chomp.to_s
ans = "Yes"

# a_start・a_goal間に "##" があれば "No"
if strings[a_start - 1..a_goal - 1].include?("##")
  ans = "No"
# b_start・b_goal間に "##" があれば "No"
elsif strings[b_start - 1..b_goal - 1].include?("##")
  ans = "No"
# a_goal > b_goalの時、b_startの1歩手前・b_goalの1歩先の間に "..." がなければ "No"
# （a_goal > b_goalの場合、b_start・b_goal間でaがbを抜かす必要があるため）
elsif a_goal > b_goal && strings[b_start - 2..b_goal].include?("...") == false
  ans = "No"
end

puts ans