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', $map_num, $start_A, $start_B, $goal_A, $goal_B);
    $map = rtrim(fgets(STDIN));

    $start_max = max($start_A, $start_B);
    $goal_min = min($goal_A, $goal_B);
    if(($start_A - $start_B) * ($goal_A - $goal_B) < 0){
        $chg_index_first = strpos($map, '...');
        $chg_index_last = strrpos($map, '...');
        $chg_count = 0;
        
        $tmp_map = $map;
        while(($tmp_map = strpos($tmp_map, '...')) !== false){
            $chg_count++;
        }
        
        if($chg_count == 0 || ($chg_count <= 2 && ($chg_index_first + 3 > $start_max) || ($chg_index_last + 3 < $goal_min))){
            echo 'No';
            exit();
        }
    }

    $rock_index = strpos($map, '##');
    if($rock_index !== false && (($rock_index > $start_A && $rock_index < $goal_A) || ($rock_index > $start_B && $rock_index < $goal_B))){
        echo 'No';
        exit();
    }

    echo 'Yes';