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 int long long
int MOD = (int)1e9 + 7;
int INF = (int)2e18;

signed main() {
    int N, A, B, C, D;
    cin >> N >> A >> B >> C >> D;
    --A;
    --B;
    --C;
    --D;
    string S;
    cin >> S;
    bool check = true;
    if (C < D) {
        for (int i = B; i < D;) {
            if (S[i + 1] == '.') ++i;
            else if (i != N - 1 && S[i + 1] == '#' && S[i + 2] == '.') i += 2;
            else {
                check = false;
                break;
            }
        }
        for (int i = A; i < C;) {
            if (S[i + 1] == '.') ++i;
            else if (i != N - 1 && S[i + 1] == '#' && S[i + 2] == '.') i += 2;
            else {
                check = false;
                break;
            }
        }
    } else if (C > D) {
        bool ABswitch = false;
        vector<int> coordinate;
        for (int i = B; i < D - 2; i++) {
            if (S.substr(i, 3) == "...") {
                coordinate.push_back(i);
                ABswitch = true;
                break;
            }
        }
        if (!ABswitch) check = false;
        if (check) {
            for (int i = B; i < D;) {
                if (S[i + 1] == '.') ++i;
                else if (i != N - 1 && S[i + 1] == '#' && S[i + 2] == '.') i += 2;
                else {
                    check = false;
                    break;
                }
            }
            for (int i = A; i < C;) {
                if (S[i + 1] == '.') ++i;
                else if (i != N - 1 && S[i + 1] == '#' && S[i + 2] == '.') i += 2;
                else {
                    check = false;
                    break;
                }
            }
        }
    }


    cout << (check ? "Yes" : "No") << endl;
}