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: Accepted)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Web;

namespace Competitive
{
    internal class Solution
    {
        public int N, A, B, C, D;
        private string S;
        public long MOD = 1000000007;

        public void Run()
        {
            {
                var line = Input.ReadIntArray();
                N = line[0];
                A = line[1] - 1;
                B = line[2] - 1;
                C = line[3] - 1;
                D = line[4] - 1;
            }

            S = Console.ReadLine();

            if (A < B && B < C && C < D)
            {
                bool ret = Check(A, C) && Check(B, D);
                Console.WriteLine(ret ? "Yes" : "No");
            }

            else if (A < C && C < B && B < D)
            {
                bool ret = Check(A, C) && Check(B, D);
                Console.WriteLine(ret ? "Yes" : "No");
            }

            else if (A < B && B < D && D < C)
            {
                bool ret1 = Check(A, C);

                bool ret2 = false;
                for (int i = B; i <= D; i++)
                {
                    if (S[i] == '.' && S[i - 1] == '.' && S[i + 1] == '.') ret2 = true;
                }
                bool ret = ret1 && ret2;
                Console.WriteLine(ret ? "Yes" : "No");
            }

        }

        bool Check(int start, int goal)
        {
            bool flag = true;
            int count = 0;
            for (int i = start + 1; i < goal - 1; i++)
            {
                if (S[i] == '#') count++;
                else count = 0;
                if (count >= 2) flag = false;
            }

            return flag;
        }
    }

    // libs ----------
    

    // common ----------

    internal static class Input
    {
        public static string ReadString()
        {
            string line = Console.ReadLine();
            return line;
        }

        public static int ReadInt()
        {
            string line = Console.ReadLine();
            return int.Parse(line);
        }

        public static int[] ReadIntArray()
        {
            string line = Console.ReadLine();
            return line.Split(' ').Select(int.Parse).ToArray();            
        }

        public static long ReadLong()
        {
            string line = Console.ReadLine();
            return long.Parse(line);
        }

        public static long[] ReadLongArray()
        {
            string line = Console.ReadLine();
            return line.Split(' ').Select(long.Parse).ToArray();
        }

        public static double[] ReadDoubleArray()
        {
            string line = Console.ReadLine();
            return line.Split(' ').Select(double.Parse).ToArray();
        }
    }
    
    internal class Program
    {
        public static void Main(string[] args)
        {
            var s = new Solution();
            s.Run();
        }
    }
}