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 <math.h>
#include <stdio.h>
#include <string.h>
void swap_int(int* x, int* y) {
    int temp;
    temp = *x;
    *x = *y;
    *y = temp;
}
void swap_char(char* x, char* y) {
    char temp;
    temp = *x;
    *x = *y;
    *y = temp;
}

void asc_sort(int* array, int n) {
    int i, j;
    for (i = 0; i < n - 1; i++) {
        for (j = i + 1; j < n; j++) {
            if (array[i] > array[j]) {
                swap_int(&array[i], &array[j]);
            }
        }
    }
}

void dec_sort(int* array, int n) {
    int i, j;
    for (i = 0; i < n - 1; i++) {
        for (j = i + 1; j < n; j++) {
            if (array[i] < array[j]) {
                swap_int(&array[i], &array[j]);
            }
        }
    }
}

int max(int x, int y) {
    if (x > y) {
        return x;
    } else {
        return y;
    }
}

int min(int x, int y) {
    if (x > y) {
        return y;
    } else {
        return x;
    }
}

int main(void) {
    int n, a, b, c, d;
    static char str[400000];
    int flg = 0;
    int flg1 = 0;
    int i, j, k, x, cnt = 0;
    scanf("%d %d %d %d %d", &n, &a, &b, &c, &d);
    scanf("%s", str);

    for (i = a - 1; i < max(c, d) - 2; i++) {
        if (str[i] == '#' && str[i + 1] == '#') {
            flg = 1;
            break;
        }
    }
    if (flg) {
        printf("No\n");
        return 0;
    }

    if (c < d) {
        if (!flg) {
            printf("Yes\n");
        }
    } else {
        for (i = b - 1; i < d; i++) {
            if (str[i - 1] == '.' && str[i] == '.' && str[i + 1] == '.') {
                printf("Yes\n");
                return 0;
            }
        }
        printf("No\n");
    }
    return 0;
}