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 Perl (v5.18.2) (judge verdict: Wrong Answer)

use strict;
use warnings;

my $n;
my $a;
my $b;
my $c;
my $d;
my $s;
($n, $a, $b, $c, $d) = split /\s/, <>;
chomp($s = <>);
my $s1 = $s;

my $ans = "Yes";
$s1 = substr($s, $a - 1, $c - $a + 1);

if ($c < $d) {
	my $cpath = substr($s, $a - 1, $c - $a + 1);
	my $dpath = substr($s, $b - 1, $d - $b + 1);
	if ($cpath =~ m/##/ or $dpath =~ m/##/) {
		$ans = "No";
	}
} elsif ($s1 =~ m/##/) {
	$ans = "No";
} else {
	# $c > $d
	my $t = substr($s, $b -2, $d - $b + 2);
	if ($t !~ m/\.{3}/) {
		$ans = 'No';
	}
}

$ans = 'No';
print $ans, "\n";