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 Lua (5.3.2) (judge verdict: Accepted)

local n, a, b, c, d = io.read("*n", "*n", "*n", "*n", "*n", "*l")
local s = io.read()

local function check1(l, r)
  for i = l, r - 1 do
    if s:sub(i, i) == "#" and s:sub(i + 1, i + 1) == "#" then
      return false
    end
  end
  return true
end

local function check2(l, r)
  for i = l, r - 2 do
    if s:sub(i, i) == "." and s:sub(i + 1, i + 1) == "." and s:sub(i + 2, i + 2) == "." then
      return true
    end
  end
  return false
end

if c < d then
  local r = check1(a, c) and check1(b, d)
  print(r and "Yes" or "No")
else
  local r = check1(a, c)
  if not r then print("No")
  else
    r = check2(b - 1, d + 1)
    print(r and "Yes" or "No")
  end
end