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.io.*;
import java.util.*;
public class B56 {
	public static void main(String[] args) throws IOException	{
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		int n = Integer.parseInt(br.readLine());
		int[] list = new int[n+1];
		StringTokenizer st = new StringTokenizer(br.readLine());
		for(int i = 1; i <= n; i++)
			list[i] = Integer.parseInt(st.nextToken());
		for(int i = 1; i <= n; i++)	{
			outer: for(int j = i+1; j <= n; j++)	{
				if(list[i] == j && list[j] == i)	{
					for(int k = i+1; k <= j; k++)		{
						if(list[k] > list[k-1])	{
							continue outer;
						}
					}
					for(int k = 1; k <= i; k++)		{
						if(list[k] < list[k-1])	{
							continue outer;
						}
					}
					for(int k = j+1; k <= n; k++)		{
						if(list[k] < list[k-1])	{
							continue outer;
						}
					}
					System.out.println(i + " " + j);
					return;
				}
			}
		}
		System.out.println("0 0");
	}
}