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 PyPy3 (2.4.0) (judge verdict: Accepted)

n, a, b, c, d = list(map(int, input().split()))
s = list(input())
a = a-1
b = b-1
c = c-1
d = d-1
s[a] = "A"
s[b] = "B"
ans = True
flag = 0

while a<n and b<n:
  while a<b:
    if a==c:
      break
    elif a+1<n and a+1<b and s[a+1]==".":
      s[a] = "."
      s[a+1] = "A"
      a += 1
    elif a+2<n and a+2<b and s[a+2]==".":
      s[a] = "."
      s[a+2] = "A"
      a += 2
    else:
      break

  if a+2<n and d<c and s[a+1]=="B" and s[a+2]==".":
    s[a] = "."
    s[a+2] = "A"
    a += 2

  if b<a:
    while a<n:
      if a==c:
        break
      elif a+1<n and s[a+1]==".":
        s[a] = "."
        s[a+1] = "A"
        a += 1
      elif a+2<n and s[a+2]==".":
        s[a] = "."
        s[a+2] = "A"
        a += 2
      else:
        ans = False
        break

  if a==c and b==d:
    break
  elif b+1<n and s[b+1]==".":
    s[b] = "."
    s[b+1] = "B"
    b += 1
  elif b+2<n and s[b+2]==".":
    s[b] = "."
    s[b+2] = "B"
    b += 2
  else:
    ans = False
    break

if ans:
  print("Yes")
else:
  print("No")