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: Accepted)

#include<stdio.h>
int main(void) {
  int N,A,B,C,D,cnt1,cnt2,flag;
  scanf("%d%d%d%d%d", &N, &A, &B, &C, &D);
  char S[200002];
  scanf("%s", S);
  if(C < D) {
    flag = 1;
    cnt1 = 0;
    for(int i = A; i <= D-2; i++) {
      if(S[i] == '#') {
        cnt1++;
      }else{
        cnt1 = 0;
      }
      if(cnt1 == 2) {
        flag = 0;
        break;
      }
    }
  }else{
    cnt1 = 0;
    cnt2 = 0;
    flag = 0;
    for(int i = A-1; i <= C-1; i++) {
      if(B-2 <= i && i <=D) {
        if(S[i] == '.') {
          cnt2++;
        }else{
          cnt2 = 0;
        }
        if(cnt2 == 3) {
          flag = 1;
        }
      }
      if(S[i] == '#') {
        cnt1++;
      }else{
        cnt1 = 0;
      }
      if(cnt1 == 2) {
        flag = 0;
        break;
      }
    }
  }
  if(flag == 1) {
    printf("Yes\n");
  }else{
    printf("No\n");
  }
  return 0;
}