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 PHP (7.4.4) (judge verdict: Wrong Answer)

<?php
list($n, $a, $b, $c, $d) = ints();
$a--;
$b--;
$c--;
$d--;
list($s) = strs();
$maxwa = $cntwa = $maxwb = $cntwb = $maxr = $cntr = 0;
for ($i = 0; $i < $n; ++$i) {
    if ($i > $a && $i < $c) {
        if ($s[$i] === '#') $cntwa++;
        else $cntwa = 0;
    }
    $maxwa = max($maxwa, $cntwa);
    if ($i > $b && $i < $d) {
        if ($s[$i] === '#') $cntwb++;
        else $cntwb = 0;
    }
    $maxwb = max($maxwb, $cntwb);
    if ($i > $a && $i <= $d + 1) {
        if ($s[$i] === '.') $cntr++;
        else $cntr = 0;
    }
    $maxr = max($maxr, $cntr);
}
if ($c > $d) echo max($maxwa, $maxwb) <= 1 && $maxr >= 3 ? 'Yes' : 'No';
else echo max($maxwa, $maxwb) <= 1 ? 'Yes' : 'No';
function strs()
{
    return explode(' ', trim(fgets(STDIN)));
}
function ints()
{
    return array_map('intval', explode(' ', trim(fgets(STDIN))));
}