Problem: The only difference between problems C1 and C2 is that all values in input of problem C1 are distinct (this condition may be false for problem C2).

You are given a sequence a consisting of n integers. All these integers are distinct, each value from 1 to n appears in the sequence exactly once.

You are making a sequence of moves. During each move you must take either the leftmost element of the sequence or the rightmost element of the sequence, write it down and remove it from the sequence. Your task is to write down a strictly increasing sequence, and among all such sequences you should take the longest (the length of the sequence is the number of elements in it).

For example, for the sequence [2, 1, 5, 4, 3] the answer is 4 (you take 2 and the sequence becomes [1, 5, 4, 3], then you take the rightmost element 3 and the sequence becomes [1, 5, 4], then you take 4 and the sequence becomes [1, 5] and then you take 5 and the sequence becomes [1], the obtained increasing sequence is [2, 3, 4, 5]).

Input

The first line of the input contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the number of elements in a.

The second line of the input contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ n), where a_i is the i-th element of a. All these integers are pairwise distinct.

Output

In the first line of the output print k — the maximum number of elements in a strictly increasing sequence you can obtain.

In the second line print a string s of length k, where the j-th character of this string s_j should be 'L' if you take the leftmost element during the j-th move and 'R' otherwise. If there are multiple answers, you can print any.

Examples

Input


5
2 1 5 4 3


Output


4
LRRR


Input


7
1 3 5 6 7 4 2


Output


7
LRLRLLL


Input


3
1 2 3


Output


3
LLL


Input


4
1 2 4 3


Output


4
LLRL

Note

The first example is described in the problem statement.

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
long long int ll_max(long long int a, long long int b, long long int c) {
  return max(a, max(b, c));
}
int int_max(int a, int b, int c) { return max(a, max(b, c)); }
long long int ll_min(long long int a, long long int b, long long int c) {
  return min(a, min(b, c));
}
int int_min(int a, int b, int c) { return min(a, min(b, c)); }
long long int max(int a, long long int b) { return max((long long int)a, b); }
long long int min(int a, long long int b) { return min((long long int)a, b); }
long long int min(long long int a, int b) { return min(a, (long long int)b); }
long long int max(long long int a, int b) { return max(a, (long long int)b); }
long long int maximum(long long int a[], long long int n) {
  long long int max1 = LLONG_MIN;
  for (long long int i = 0; i < n; i++) {
    max1 = max(max1, a[i]);
  }
  return max1;
}
long long int minimum(long long int a[], long long int n) {
  long long int min1 = LLONG_MAX;
  for (long long int i = 0; i < n; i++) {
    min1 = min(min1, a[i]);
  }
  return min1;
}
long long int dx[] = {0, 0, 1, -1};
long long int dy[] = {1, -1, 0, 0};
long long int power(long long int x, long long int y, long long int m) {
  if (y == 0) return 1;
  long long int a = power(x, y / 2, m);
  if (y % 2) {
    return (a * ((a * x) % m)) % m;
  } else {
    return (a * a) % m;
  }
}
long long int mod_inverse(long long int x, long long int m) {
  return power(x, m - 2, m);
}
long long int fact(long long int n, long long int m) {
  if (n <= 1) return 1;
  return (fact(n - 1, m) * n) % m;
}
long long int ncr(long long int n, long long int r, long long int m) {
  if (r > n) return 0;
  long long int n1 = 1, d1 = 1, d2 = 1;
  n1 = fact(n, m);
  d1 = fact(r, m);
  d2 = fact(n - r, m);
  long long int ans = mod_inverse((d1 * d2) % m, m);
  ans = (ans * n1) % m;
  return ans;
}
int gcd(int a, int b) {
  if (a == 0 || b == 0) return max(a, b);
  if (a < b) return gcd(b, a);
  if (a % b == 0) return b;
  return gcd(b, a % b);
}
int ispal(string s) {
  int len = s.size();
  int flag = 1;
  for (int i = 0; i < len; ++i) {
    if (s[i] != s[len - i - 1]) {
      flag = 0;
      break;
    }
  }
  return flag;
}
long long int sroot(long long int n, long long int low = 1,
                    long long int high = 1e9 + 1) {
  if (low == high) return low;
  if (low == high - 1) {
    if (high * high <= n)
      return high;
    else
      return low;
  }
  long long int mid = (low + high) / 2;
  long long int a = mid * mid;
  if (a > n)
    return sroot(n, low, mid - 1);
  else
    return sroot(n, mid, high);
}
long long int croot(long long int n, long long int low = 1,
                    long long int high = 1e6 + 1) {
  if (low == high) return low;
  if (low == high - 1) {
    if (high * high * high <= n)
      return high;
    else
      return low;
  }
  long long int mid = (low + high) / 2;
  long long int a = mid * mid * mid;
  if (a > n)
    return croot(n, low, mid - 1);
  else
    return croot(n, mid, high);
}
bool sortbysec(const pair<long long int, long long int> &a,
               const pair<long long int, long long int> &b) {
  return (a.second < b.second);
}
class solver {
 public:
  void solve() {
    long long int n;
    cin >> n;
    long long int a[n];
    for (long long int i = 0; i < n; i++) cin >> a[i];
    long long int l = 0, r = n - 1;
    long long int val = -1;
    string str = "";
    while (l <= r) {
      if (max(a[l], a[r]) <= val) break;
      if (a[l] > val && a[r] > val) {
        long long int f = 0;
        if (a[l] < a[r])
          f = 1;
        else
          f = 2;
        if (f == 1) {
          val = a[l];
          l++;
          str += "L";
        } else {
          val = a[r];
          r--;
          str += "R";
        }
      } else if (a[l] > val) {
        val = a[l];
        l++;
        str += "L";
      } else {
        val = a[r];
        r--;
        str += "R";
      }
    }
    string str1 = str;
    str = "";
    val = -1;
    l = 0, r = n - 1;
    while (l <= r) {
      if (max(a[l], a[r]) <= val) break;
      if (a[l] > val && a[r] > val) {
        long long int f = 0;
        if (a[l] <= a[r])
          f = 1;
        else
          f = 2;
        if (f == 1) {
          val = a[l];
          l++;
          str += "L";
        } else {
          val = a[r];
          r--;
          str += "R";
        }
      } else if (a[l] > val) {
        val = a[l];
        l++;
        str += "L";
      } else {
        val = a[r];
        r--;
        str += "R";
      }
    }
    string ans = str;
    if (str.length() > str1.length())
      ans = str;
    else
      ans = str1;
    cout << ans.length() << "\n" << ans;
  }
};
int main() {
  std::ios::sync_with_stdio(false);
  std::cin.tie(NULL);
  std::cout.tie(NULL);
  int test = 1, c = 1;
  while (test--) {
    solver o;
    o.solve();
  }
}