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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.

The root is at depth 0, children of the root are at depth 1, and

in general a node is at depth equal to the number of edges on the path

from it to the root.

An additional natural number d is read. Print, in ascending order of

index, all nodes that are at depth d. If no such node exists, print 0.

Input format

Input input.txt

The first line contains two natural numbers `n` and `d`, separated by a space. The second line contains the `n` values of the parent array, separated by spaces. - `1 <= n <= 100` - `0 <= d <= n` - the array describes a valid tree

Output format

Output output.txt

The program prints the indices of the nodes at depth `d`, in ascending order, separated by spaces, or `0` if no such node exists.

Example

input
7 2

2 4 4 0 4 5 5
output
1 6 7

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