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 PHP7 (7.0.15) (judge verdict: Wrong Answer)

<?php
fscanf(STDIN, "%d%d%d%d%d", $n, $a, $b, $c, $d);
$s = "#".trim(fgets(STDIN));
 
//連続する#が存在しない
$flag1 = true;
for($i = $a; $i < $c ; $i++){
  if($s[$i]=="#" && $s[$i+1]=="#"){
    $flag1 = false;
  }
}
for($i = $b; $i < $d ; $i++){
  if($s[$i]=="#" && $s[$i+1]=="#"){
    $flag1 = false;
  }
}
if($c > $d){
  $flag2 = false;
  //bとcの間に3個連続する.が存在する
  for($i = min($b,$c); $i < max($b, $c) - 1; $i++){
    if($s[$i]=="." && $s[$i+1]=="." && $s[$i+2]=="."){
      $flag2 = true;
    }
  }
}else{
  $flag2 = true;
}
echo ($flag1 && $flag2) ? "Yes" : "No";