Problem: Vasya collects coins: he has exactly one coin for every year from 1 to n. Naturally, Vasya keeps all the coins in his collection in the order in which they were released. Once Vasya's younger brother made a change — he took all the coins whose release year dated from l to r inclusively and put them in the reverse order. That is, he took a certain segment [l, r] and reversed it. At that the segment's endpoints did not coincide. For example, if n = 8, then initially Vasya's coins were kept in the order 1 2 3 4 5 6 7 8. If Vasya's younger brother chose the segment [2, 6], then after the reversal the coin order will change to 1 6 5 4 3 2 7 8. Vasya suspects that someone else could have spoilt the permutation after his brother. Help him to find that out. Check if the given permutation can be obtained from the permutation 1 2 ... n using exactly one segment reversal. If it is possible, find the segment itself.

Input

The first line contains an integer n (1 ≤ n ≤ 1000) which is the number of coins in Vasya's collection. The second line contains space-separated n integers which are the spoilt sequence of coins. It is guaranteed that the given sequence is a permutation, i.e. it contains only integers from 1 to n, and every number is used exactly 1 time.

Output

If it is impossible to obtain the given permutation from the original one in exactly one action, print 0 0. Otherwise, print two numbers l r (1 ≤ l < r ≤ n) which are the endpoints of the segment that needs to be reversed to obtain from permutation 1 2 ... n the given one.

Examples

Input

8
1 6 5 4 3 2 7 8


Output

2 6


Input

4
2 3 4 1


Output

0 0


Input

4
1 2 3 4


Output

0 0

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
int loc[100010];
int main() {
  int prec(0);
  int modif(0);
  int x = -1, y = -1;
  int n, c;
  cin >> n;
  for (int i(1); i <= n; i++) {
    cin >> c;
    loc[c] = i;
  }
  for (int i(1); i <= n; i++) {
    if (abs(prec - loc[i]) != 1) {
      modif++;
      if (x == -1)
        x = i;
      else if (y == -1)
        y = i;
      else {
        cout << "0 0";
        return 0;
      }
    }
    prec = loc[i];
  }
  if (x == -1) {
    cout << "0 0";
    return 0;
  }
  if (y == -1) {
    if (loc[1] == 1)
      cout << x << ' ' << n;
    else if (x == 1)
      cout << "1 " << n;
    else
      cout << "1 " << x;
  } else {
    for (int i(1); i < x; i++) {
      if (loc[i] != i) {
        cout << "0 0";
        return 0;
      }
    }
    for (int i(y + 1); i <= n; i++) {
      if (loc[i] != i) {
        cout << "0 0";
        return 0;
      }
    }
    cout << x << ' ' << y - 1;
  }
  return 0;
}