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# (Mono 4.6.2.0) (judge verdict: Wrong Answer)

using System;
using System.Linq;

namespace AGC034
{
    class Program
    {
        static void Main(string[] args)
        {
            string[] s = Console.ReadLine().Split(' ');
            int N = int.Parse(s[0]);
            int A = int.Parse(s[1]);
            int B = int.Parse(s[2]);
            int C = int.Parse(s[3]);
            int D = int.Parse(s[4]);

            string s1 = Console.ReadLine();

            if (s1[C - 1] == '#' || s1[D - 1] == '#')
            {
                Console.WriteLine("No");
                return;
            }

            if (B < C && C < D)
            {
                var result1 = HaveTwoSharp(s1, A, C);
                var result2 = HaveTwoSharp(s1, B, D);

                if (!result1 && !result2)
                {
                    Console.WriteLine("Yes");
                    return;
                }
                else
                {
                    Console.WriteLine("No");
                    return;
                }
            }

            if (C < B && C < D)
            {
                var result1 = HaveTwoSharp(s1, A, C);
                var result2 = HaveTwoSharp(s1, B, D);

                if (!result1 && !result2)
                {
                    Console.WriteLine("Yes");
                    return;
                }
                else
                {
                    Console.WriteLine("No");
                    return;
                }
            }

            if (D < C)
            {
                var result1 = HaveTwoSharp(s1, A, C);
                var result2 = HaveTwoSharp(s1, B, D);
                var result3 = HaveThreeDot(s1, B, D);

                if (!result1 && !result2 && result3)
                {
                    Console.WriteLine("Yes");
                    return;
                }
                else
                {
                    Console.WriteLine("No");
                    return;
                }
            }
        }

        static bool HaveTwoSharp(string s, int start, int end)
        {
            char[] c = s.Skip(start - 1).Take(end - start + 1).ToArray();
            string s2 = new string(c);
            return s2.Contains("##");
        }

        static bool HaveThreeDot(string s, int start, int end)
        {
            char[] c = s.Skip(start - 1).Take(end - start + 1).ToArray();
            string s2 = new string(c);
            return s2.Contains("...");
        }
    }
}