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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.

An additional natural number x with 1 <= x <= n is also read. Print,

in ascending order, the indices of the direct children of node x.

If node x has no direct children (it is a leaf), print the word

frunza (no diacritics).

Input format

Input input.txt

The first line contains two natural numbers `n` and `x`, separated by a space. The second line contains the `n` values of the parent array, separated by spaces. - `1 <= n <= 100` - `1 <= x <= n` - the array describes a valid tree

Output format

Output output.txt

The program prints the direct children of node `x` in ascending order, separated by spaces. If node `x` is a leaf, the program prints `frunza`.

Example

input
7 4

2 4 4 0 4 5 5
output
2 3 5

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