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 (5.6.30) (judge verdict: Wrong Answer)

<?php
fscanf(STDIN, "%d %d %d %d %d", $n, $a, $b, $c, $d);
fscanf(STDIN, "%s", $s);

echo ($c > $d ? canMove($s, $a, $c) && existThreeSpace($s, $b, $d) : canMove($s, $b, $d) && canMove($s, $a, $c)) ? 'Yes' : 'No';

function canMove($s, $start, $end) {
    $flag = true;
    $before_s = '.';
    for ($i = ($start- 1) + 1; $i < ($end - 1) - 1; $i++) {
        $target_s = substr($s, $i, 1);
        if($before_s === '#' && $target_s === '#') {
            $flag = false;
            break;
        } else {
            $before_s = $target_s;
        }
    }
    return $flag;
}


function existThreeSpace($s, $start, $end) {
    $flag = false;
    $before_s = '#';
    $before_before_s = '#';
    for ($i = ($start- 1) - 1; $i < ($end - 1) + 1; $i++) {
        $target_s = substr($s, $i, 1);
        if($before_s === '.' && $before_before_s === '.' && $target_s === '.') {
            $flag = true;
            break;
        } else {
            $before_before_s = $before_s;
            $before_s = $target_s;
        }
    }
    return $flag;
}
?>