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)

#define _CRT_SECURE_NO_WARNINGS
#include <limits.h>
#include <math.h>
#include <stdio.h>
#include <array>
#include <iostream>
#include <string>
#include <vector>
#include <list>
#include <deque>
#include <set>
#include <map>
#include <algorithm>
#include <bitset>
#include <utility>
#include <assert.h>
#include <regex>
#include <numeric>
using namespace std;

typedef unsigned long long ull;
typedef signed long long ll;
#define INF (1LL << 48)

struct PT { ll x; ll y; };
string to_s(ull x) { return to_string(x); }
string to_s(ll x) { return to_string(x); }
ll to_ll(const string& x) { return stoll(x); }
ull to_ull(const string& x) { return stoull(x); }






int main(int argc, char* argv[])
{
	for (;;) {
		int N, A, B, C, D;
		cin >> N >> A >> B >> C >> D;
		A--, B--, C--, D--;
		if (cin.fail()) break;

		string S;
		cin >> S;
		S += "##";

		auto check = [=](int A, int C) {
			while (A < C) {
				if (S[A + 1] != '#') A += 1;
				else if (S[A + 2] != '#') A += 2;
				else return false;
			}
			return true;
		};
		if (check(A, C) && check(B, D)) {
			if (C < D) {
				cout << "Yes" << endl;
			} else if (S.substr(B - 1, D + 2 - B).find("...") != string::npos) {
				cout << "Yes" << endl;
			} else {
				cout << "No" << endl;
			}
		} else {
			cout << "No" << endl;
		}
	}

	return 0;
}