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 JAVA):

Solution:
import java.util.Scanner;


public class Main {

    
    public static void main(String[] args) {
        Scanner in = new Scanner(System.in);
        int N = in.nextInt();
        int n = N;
        int T[] = new int[n+1];
        int i = 0;
        while(in.hasNext()){
            T[i++] = in.nextInt();
        }
        
        i = 0;
        while(T[i]==i+1&&i<n){
            i++;
        }
        boolean sig = true;
        if(i>=n-1){
            sig = false;
            System.out.println(0+" "+0);
        }
        if(sig){
            int j = n-1;
            while(T[j]==j+1){
                j--;
            }
            for(int k = i;k<(j+i+1)/2;k++){
                int a = T[k];
                T[k] = T[j-(k-i)];
                T[j-(k-i)] = a;
            }
        
            for(int k =0;k<N;k++){
                if(T[k]!=k+1&&sig) {
                    sig = false;
                    System.out.println(0+" "+0);
                    break;
                }
            }
            if(sig){
                System.out.println(++i+" "+(++j));
            }

        }
    }
}