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Problem
A tree with `n` nodes numbered from `1` to `n` is represented by
the parent array `t`. For each node `i`, the value `t[i]` is the
parent of node `i`, and `t[i] = 0` means that node `i` is the root
of the tree.
Write a program that reads `n` and then the `n` values of the parent
array, and prints the index of the root.
Input format
Input
input.txt
The first line contains the natural number `n`. The second line contains `n` non-negative integers separated by spaces, representing the values `t[1], t[2], ..., t[n]` of the parent array. - `1 <= n <= 100` - `0 <= t[i] <= n` for every `i` in `1..n` - the array describes a valid tree, so there is exactly one value equal to `0`
Output format
Output
output.txt
The program prints a single natural number: the index of the root.
Example
input
7 2 4 4 0 4 5 5
output
4
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Sample cases (from the problem)
Sample Case 1
Input
7 2 4 4 0 4 5 5
Expected output
4
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