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 OCaml (4.02.3) (judge verdict: Accepted)

let n, a, b, c, d, s = Scanf.scanf " %d %d %d %d %d %s" @@ fun a b c d e f -> a, b - 1, c - 1, d - 1, e - 1, f
let s2, s3 = String.sub s a @@ c - a + 1, String.sub s b @@ d - b + 1
let f s = try Str.search_forward (Str.regexp "##") s 0 |> ignore; false with _ -> true
let s4 = String.sub s (b - 1) @@ min (n - b + 1) @@ d - b + 3
let _ = print_endline @@ 
  if f s2 && f s3 then
    if d < c then
      try Str.search_forward (Str.regexp "\\.\\.\\.") s4 0 |> ignore; "Yes" with _ -> "No"
    else "Yes"
  else "No"