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: Accepted)

#include <bits/stdc++.h>

using namespace std;

typedef long long ll;

int main(int, char**)
{
	int a, b, c, d, n;
	string str;
	cin >> n >> a >> b >> c >> d >> str;
	a--; b--; c--; d--;

	bool isNuke = false;
	list<int> x;
	for (int i = 0; i < n - 1; ++i) {
		if (str[i] == '#' && str[i+1] == '#') {
			if (i > a && i < c) {
				cout << "No" << endl;
				return 0;
			}
			if (i > b && i < d) {
				cout << "No" << endl;
				return 0;
			}
		}
		if (i < n - 2 && str[i] == '.' && str[i+1] == '.' && str[i+2] == '.') {
			if (i + 1 >= b && i + 1 <= d)
				isNuke = true;
		}
	}
	if (c < d) {
		cout << "Yes" << endl;
		return 0;
	}

	if (isNuke)
		cout << "Yes" << endl;
	else
		cout << "No" << endl;


	return 0;
}