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++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include <iostream>
#include <algorithm>
#include <vector>
#include <string>
#include <cmath>
using namespace std;
#define ll long long
#define rep(i, s, n) for(int i = s; i < n; i++)

int main() {
    int n, a, b, c, d;
    string s;
    cin >>  n >> a >> b >> c >> d >> s;
    a--; b--; c--; d--;
    int i = a;
    if(c < d) {
        int count = 0;
        rep(i, a, d+1) {
            if(i+1 < n && s[i] == s[i+1] && s[i] == '#') {
                count = 1;
                break;   
            }
        }
        if(count == 0) {
            if(s[c] == '.' && s[d] == '.') {
                cout << "Yes" << endl;
                return 0;
            }
        }
        cout << "No" << endl;
    }
    else {
        int count = 0;
        rep(i, a+1, c+1) {
            if(s[i] == s[i-1] && s[i] == '#') {
                cout << "No" << endl;
                return 0;  
            }
        }
        if(count != 0) cout << "No" << endl;
        int flag = 0;
        rep(i, b+1, d) {
            if(s[i] == '.' && s[i-1] == '.' && s[i+1] == '.') {
                flag = 1;
                break;
            }
        }
        if(flag == 1 && s[d] == '.' && s[c] == '.') {
            cout << "Yes" << endl;
        }
        else {
            cout << "No" << endl;
        }
    }
    return 0;

}