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 Haskell (GHC 7.10.3) (judge verdict: Wrong Answer)

import Data.List

solve :: Int -> Int -> Int -> Int -> String -> Bool
solve a b c d s
  | c < d     = chk1 (part a c s) && chk1 (part b d s) 
  | otherwise =  chk1 (part a c s) && chk1 (part b d s)
              && chk2 (part b d s)
  where
    part p q = take (q-p+1) . drop (p-1)
    s' x = map (\t -> if fst t == x then '#' else snd t) $ zip [1..] s
    chk1 s = not . any (\t -> fst t == '#' && snd t == '#') $ zip s (tail s)
    chk2 [] = False
    chk2 [_] = False
    chk2 [_,_] = False
    chk2 (x1:x2:x3:xs) = all (=='.') [x1,x2,x3] || chk2 (x2:x3:xs)

main :: IO ()
main = do
    [n,a,b,c,d] <- map read . words <$> getLine :: IO [Int]
    s <- getLine :: IO String
    putStrLn $ if solve a b c d s then "Yes" else "No"