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++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include<bits/stdc++.h>
using namespace std;
#define FAST ios_base::sync_with_stdio(false);cin.tie(NULL);
#define ll long long int
#define ull unsigned long long int
#define ld long double
#define mod 1000000007
#define inf 1000000000000000007
#define eps 0.00000001
#define pi 3.141592653589793
#define pii pair<int,int>
#define pdd pair<ld,ld>
#define pll pair<ll,ll>
#define ff first
#define ss second
#define vii vector<int>
#define vpl vector<pll>
#define vll vector<ll>
#define sti stack <int>
#define stll stack <ll>
#define mseti multiset <ll>
#define msetd multiset <ll, greater <ll> >
#define mp make_pair
#define pb push_back
#define lb lower_bound
#define ub upper_bound 
#define stp setprecision(20)//use fixed before stp
#define endl '\n'
int main()
{  
    FAST
    ll n,a,b,c,d;
    cin>>n>>a>>b>>c>>d;
    string s;
    cin>>s;
    s=" "+s;
    n++;
    ll f1=1,f2=1;
    for(ll i=b+1;i<d;i++)
    {
        if(s[i]=='#'&&s[i-1]=='#')
            f1=0;
    }
    for(ll i=a+1;i<c;i++)
    {
        if(s[i]=='#'&&s[i-1]=='#')
            f1=0;
    }
    if(c>d)
    {
        f2=0;
        for(ll i=b;i<=c;i++)
        {
            if(s[i]=='.'&&s[i+1]=='.'&&s[i+2]=='.')
                f2=1;
        }
    }
    if(f1&&f2)
        cout<<"Yes";
    else
        cout<<"No";
}