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 Fortran (gfortran v4.8.4) (judge verdict: Accepted)

program ken
  implicit none
  integer :: n,a,b,c,d
  character(len=200000) :: S
  integer :: dmp
  character(len=2) :: jam
  character(len=3) :: tohan
  tohan='...'
  jam='##'
  dmp=0
  read(*,*) N,A,B,C,D
  read(*,*) S
  if((index(S(A:C),jam).ne.0).or.(index(S(B:D),jam).ne.0)) then
     dmp=1
  else
     if(C.gt.D) then
        if(index(S(B-1:D+1),tohan).eq.0) then
           dmp=1
        else
           dmp=0
        endif
     else
        dmp=0
     endif
  endif

  if(dmp.eq.1)then
     write(*,'(a)') 'No'
  else
     write(*,'(a)') 'Yes'
  endif

end program ken