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 Python (3.4.3) (judge verdict: Wrong Answer)

import sys
n, a, b, c, d = map(int, input().split())
s = input()
snuke, fnuke, gnuke = 0, 0, 0
s_max, f_max, g_max = 0, 0, 0
for i in range(a-1, c):
	if s[i] == "#":
		snuke += 1
		s_max = max(s_max, snuke)
	else:
		snuke = 0
for i in range(b-1, d):
	if s[i] == "#":
		fnuke += 1
		f_max = max(f_max, fnuke)
		gnuke = 0
	else:
		fnuke = 0
		gnuke += 1
		g_max = max(g_max, gnuke)
if c>d:
	for i in range(b-2, d+1):
		if s[i] == ".":
			gnuke += 1
			g_max = max(g_max, gnuke)
		else:
			gnuke = 0

if s_max > 1 or f_max > 1:
	print("No")
elif c < d:
	print("Yes")
else:
	if g_max >= 3:
		print("Yes")
	else:
		print("No")