Problem:
Score : 200 points

Problem Statement

Takahashi wants to gain muscle, and decides to work out at AtCoder Gym.

The exercise machine at the gym has N buttons, and exactly one of the buttons is lighten up.
These buttons are numbered 1 through N.
When Button i is lighten up and you press it, the light is turned off, and then Button a_i will be lighten up. It is possible that i=a_i.
When Button i is not lighten up, nothing will happen by pressing it.

Initially, Button 1 is lighten up. Takahashi wants to quit pressing buttons when Button 2 is lighten up.

Determine whether this is possible. If the answer is positive, find the minimum number of times he needs to press buttons.

Constraints

2 ≤ N ≤ 10^5

1 ≤ a_i ≤ N

Input

Input is given from Standard Input in the following format:

N
a_1
a_2
:
a_N

Output

Print -1 if it is impossible to lighten up Button 2.
Otherwise, print the minimum number of times we need to press buttons in order to lighten up Button 2.

Sample Input 1

3
3
1
2

Sample Output 1

2

Press Button 1, then Button 3.

Sample Input 2

4
3
4
1
2

Sample Output 2

-1

Pressing Button 1 lightens up Button 3, and vice versa, so Button 2 will never be lighten up.

Sample Input 3

5
3
3
4
2
4

Sample Output 3

3

Solution in C (GCC 5.4.1) (judge verdict: Runtime Error)

#include <stdio.h>
int a[10001];
int main(int argc, char *argv[])
{
	int n;
	while(scanf("%d",&n)!=EOF)
	{
		int z,t=1,p;
		for(int i=1;i<=n;i++)
			scanf("%d",&a[i]);
		for(z=1;t<=n&&z<=n;z++)
		{
			if(a[t]==2){printf("%d\n",z);break;}
			p=a[t];
			t=a[t];
			if(a[t]==p&&z>=2){printf("-1\n");break;}
		}
		if(z>n)printf("-1\n"); 
	}
	return 0;
}