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 9.2.1) (judge verdict: Wrong Answer)

///

#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <math.h>
typedef long long ll;
#define rep(i,n) for(ll i=0; i<(ll)(n); i++)
#define REP(i,l,r) for(ll i=l; i<(ll)(r); i++)
#define max(l,r) ((l)>(r)?l:r)
#define min(l,r) ((l)<(r)?l:r)
#define swap(l,r) {ll tp=l;l=r;r=tp;}
const ll MOD = 1000000007;
int upcmpll(const void *a,const void *b){
    return (*(ll*)a == *(ll*)b?0:(*(ll*)a > *(ll*)b?1:-1));
}
void sort_u(ll *a,int n){qsort(a,n,sizeof(ll),upcmpll);}

int main(){
    int n, a, b, c ,d; scanf("%d%d%d%d%d", &n, &a, &b, &c, &d);
    char s[201010];
    scanf("%s", s);
  
    int ok = 1;
    REP(i, a-1, d){
        if(s[i] == s[i+1] && s[i] == '#'){
           ok = 0;
        }
    }
    if(c > d && ok){
        ok = 0;
        REP(i, b-1, d+1){
            if(s[i] == s[i+1] && s[i] == s[i-1] && s[i] == '.'){
                 ok = 1;
            }
        }
    }
    if(ok) puts("Yes");
    else puts("No");
}