Bob Jones lives with his family His family has members with member ID $0$t$0$ Nit Bob Jones is the head of the family with member ID $0$ His family has K number of earning members. Every month each earning member receives their salary in a particular order and then gives it to their parent, the parent in turn gives the salary to their parents, and so on$.$ The salary will be given to the highest member of the family hierarchy. If member A is the parent of member B and if A had already received the salary, then B will keep the salary.

For example, in the given family hierarchy A$->$B$->$C$,$ B is the parent of A and Cis the parent of B so if A receives the salary then it first goes to B$,$ and then it goes to C but in case if Calready had received the salary then B will keep the salary of A and if in case B also received the salary already then. A will keep the salary

You are given two integers Nand K where N is the total number of members in the family and K is the total number of earning members in the family. You are given an array parents representing the parent's member ID where the index represents the child's member ID$.$ As Bob Jones is the head of the family, he will have no parent that will be represented by $-1$ and therefore the parent array will always start with $-1.$ You are given an array salary$\_$order presenting the member IDs of all the earning members of the family inme order they receive the salary that is index O receives the salary first and then index $1$ and so on$.$

Return an array containing the member ID of all members that keeps tge salary in the order they receive it$.$

Function description:

Complete the Solve$()$ function provided that takes tge following arguments and retums the answer

N$.$ Represents the total number of family members

K Represents the total number of earning members

parents$[]$: Represents the array of parents ie parents$[$i$]$ represent the parent of an member

salary$\_$order. Represents all the earning members of the family in the order they receive the salary

Input format for custom testing

Note: Use this input format if you are testing against custom input or writing Code in a language where we don't provide boilerplate code.

$*$ The first line contains integer N denoting the total number of family members

The second line contains integer K denoting the total number of earning members

$*$ The third line contains N space$-$separated integers denoting the array of parents of each member.

The fourth line contains K space$-$separated integers denoting the array of earning members of the family in the order they receive the salary.

Output format:

Print the array of all the members that keep the salary in the order they receive it$.$

Sample input:

$9$

$4$

$-101122344$

$8465$

Sample output:

$0132$