Ancestors

Examining the genes of several thousand people, scientists assumed that all mankind originated from a small tribe of $20$ people who lived somewhere in West Africa.

United Association of Cloned Martians decided to conduct similar studies for the inhabitants of Mars. Write a program to ACM, which, using the results of a large genetic study of Martians, assigning him the progenitor of a Martian.

Input

The first line contains the number $n(1<n\le 10^5)$ of surveyed Martians. Is followed by $n$ lines, each containing a single integer from $0$ to $n$. In the $(i+1)$-th line the number is the parent of $i$-th Martian, or $0$, if it has no parent (i.e. he is the father, like Adam and Eve in the Bible). The input data does not contain cycles.

Output

Print for each Martian his ancestor, or $0$ if he is the father.

Examples