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: Wrong Answer)

#include <stdio.h>
#include <stdlib.h>

int main(int argc, char *argv[])
{
	int n,a,b,c,d,ans;
	scanf("%d %d %d %d %d",&n, &a, &b, &c, &d);
	char s[n];
	scanf("%s", &s);
	a--;
	b--;
	c--;
	d--;
	ans=0;
	
	s[a]='a';
	s[b]='b';
	printf("%s\n", s);
	if(c>d){	//a go first
		while(1){
		if(s[c]=='a'){
			if(s[d]=='b'){
				ans=1;
				break;
			}else{
				if(s[b+1]=='.'){
					s[b]='.';
					b++;
					s[b]='b';
				}else{
					if(s[b+2]=='.'){
						s[b]='.';
						b+=2;
						s[b]='b';
					}else{
						ans=0;
						break;
					}
				}
			}
		}else{
			if(s[a+1]=='.'){
				s[a]='.';
				a++;
				s[a]='a';
			}else{
				if(s[a+2]=='.'){
					s[a]='.';
					a+=2;
					s[a]='a';
				}else{
					if(s[d]=='b'){
						ans=0;
						break;
					}else{
						if(s[b+1]=='.'){
							s[b]='.';
							b++;
							s[b]='b';
						}else{
							if(s[b+2]=='.'){
								s[b]='.';
								b+=2;
								s[b]='b';
							}else{
								ans=0;
								break;
							}
						}
					}
				}
			}
		}
//		printf("%s\n", s);
		}
	}else{
		while(1){
		if(s[d]=='b'){
			if(s[c]=='a'){
				ans=1;
				break;
			}else{
				if(s[a+1]=='.'){
					s[a]='.';
					a++;
					s[a]='a';
				}else{
					if(s[a+2]=='.'){
						s[a]='.';
						a+=2;
						s[a]='a';
					}else{
						ans=0;
						break;
					}
				}
			}
		}else{
			if(s[b+1]=='.'){
				s[b]='.';
				b++;
				s[b]='b';
			}else{
				if(s[b+2]=='.'){
					s[b]='.';
					b+=2;
					s[b]='b';
				}else{
					if(s[c]=='a'){
						ans=0;
						break;
					}else{
						if(s[a+1]=='.'){
							s[a]='.';
							a++;
							s[a]='a';
						}else{
							if(s[a+2]=='.'){
								s[a]='.';
								a+=2;
								s[a]='a';
							}else{
								ans=0;
								break;
							}
						}
					}
				}
			}
		}
//		printf("%s\n", s);
		}
	}
	if(ans==1)
		printf("Yes");
	else
		printf("No");
	return 0;
}