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 Pascal (FPC 2.6.2) (judge verdict: Wrong Answer)

var i,v,n,a,b,c,d,mv:longint;
    s:char;
    ans:boolean;


function max(a,b:longint):longint;
begin
  if a > b then max := a else max := b
end;

begin
  readln(n,a,b,c,d);
  v := 0;
  mv := 0;
  ans := true;
  for i:=1 to n do begin
    read(s);
    if (a<=i) and ((c>=i) or (d>=i)) then begin
      if b<c then begin
        if (v=0) and (s='#') then ans := false;
        if s='.' then v := v + 1 else v := 0;
        if (b<=i) and (d>=i) then mv := max(v,mv)
      end else 
        if ((b>=i)or(c<=i)) and (v=0) and (s='#') then ans := false;
    end
  end;
  if (c>d) and (mv<3) then ans := false;
  if ans then writeln('Yes') else writeln('No')
end.