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 <bits/stdc++.h>
#define ALL(v) v.begin(), v.end()
using namespace std;
typedef long long ll;
 //Compiler version g++ 6.3.0

 int main()
 {
 	int n,a,b,c,d;
 	cin >> n>>a>>b>>c>>d;
 	string y;
 	cin >> y;
 	bool rev=false;
 	if(c>d){
 		rev=true;
 	}
 	bool ans=false;
 	bool revpos=true;
 	for (int i = a; i < max(c,d)-3; i++){
 		if(!ans){
 			if (y[i]=='#'&&y[i+1]=='#'){
 				ans=true;
 			}
 			if(b<i&&rev&&d>i&&revpos){
 				if(y[i]=='.'&&y[i+1]=='.'&&y[i+2]=='.'){
 					revpos=false;
 				}
 			}
 		}
 	}
 	if(ans){
 		cout << "NO" << endl;
 	}else if(rev&&revpos){
 		cout << "NO" << endl;
 	}else{
 		cout << "YES" << endl;
 	}
 }