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"

#define pb push_back
#define pob pop_back
#define pf push_front
#define pof pop_front
#define eb emplace_back
#define rep(i, a, b) for (long i = (a); i <= (b); ++i)
#define per(i, a, b) for (long i = (a); i >= (b); --i)
#define mmst(v) memset(v, 0, sizeof(v))

const long kMax2 = 109;
const long kMax3 = 1009;
const long kMax4 = 10009;
const long kMax5 = 100009;
const long kMax6 = 1000009;
const long kInfI = 0x3F3F3F3F;
const float kInfF = 1e15;

const long kMAX = 1000000000;

using namespace std;
using ll = long long;

inline int readInt() {
  char c = getchar();
  while(!isdigit(c) && c != '-') c = getchar();
  int sigma = 1;
  if (c == '-') {
    sigma = -1;
    c = getchar();
  }
  int x = 0;
  while (isdigit(c)) {
    x = x * 10 + c - '0';
    c = getchar();
  }
  return x * sigma;
}

int main() {
  cin.tie(0);
  ios::sync_with_stdio(0);

  int n, a, b, c, d;
  string s;
  cin >> n >> a >> b >> c >> d >> s;
  --a;
  --b;
  --c;
  --d;

  bool ans = true;
  rep(i, a, c - 2) {
    if (s[i] == '#' && s[i + 1] == '#') ans = false;
  }
  rep(i, b, d - 2) {
    if (s[i] == '#' && s[i + 1] == '#') ans = false;
  }
  if (c > d) {
    ans = false;
    rep(i, b, d) {
      if (s[i] == '.' && s[i - 1] == '.' && s[i + 1] == '.') {
        ans = true;
        break;
      }
    }
  }
  if (ans) { cout << "YES\n"; }
  else { cout << "NO\n"; }

  return 0;
}