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Problem

A tree with n nodes numbered from 1 to n is represented by

the parent array t, where t[i] is the parent of node i, and

t[i] = 0 means that node i is the root of the tree.

A node is called a leaf if it has no direct descendants, i.e.,

if it never appears as a value in the parent array (ignoring the value 0).

Write a program that reads n and the values of the parent array, and

prints the number of leaves in the tree.

Input format

Input input.txt

The first line contains the natural number `n`. The second line contains the `n` values of the parent array, separated by spaces. - `1 <= n <= 100` - `0 <= t[i] <= n` for every `i` in `1..n` - the array describes a valid tree - if the tree has a single node, that node is considered a leaf

Output format

Output output.txt

The program prints a single natural number: the number of leaves.

Example

input
7

2 4 4 0 4 5 5
output
4

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