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 C (GCC 5.4.1) (judge verdict: Accepted)

#include <stdio.h>

int n;
int a, b, c, d;
char str[200005];

int check(int l, int r);
int space(int l, int r);

int main()
{
    int f = 0;
    
    scanf("%d %d %d %d %d", &n, &a, &b, &c, &d);
    scanf("%s", str);

    --a; --b;
    
    // [a, c), [b, d)
    if (a <= b && d <= c) {
        if (check(a, c) && check(b, d) &&
            space(b, d)) {
            f = 1;
        }
    }
    else if (b <= a && c <= d) {
        if (check(a, c) && check(b, d) &&
            space(a, c)) {
            f = 1;
        }
    }
    else {
        if (check(a, c) && check(b, d)) {
            f = 1;
        }
    }

    puts(f ? "Yes" : "No");
    
     return 0;
}

int check(int l, int r)
{
    int res = 1;
    for (int i = l; i < r - 1; i++) {
        if (str[i] == '#' && str[i + 1] == '#') {
            res = 0;
        }
    }

    return res;
}

int space(int l, int r)
{
    int res = 0;

    for (int i = l; i < r; i++) {
        if (str[i - 1] == '.' && str[i] == '.' && str[i + 1] == '.') {
            res = 1;
        }
    }

    return res;
}