Problem:
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Reconstruction of a Tree

Write a program which reads two sequences of nodes obtained by the preorder tree walk and the inorder tree walk on a binary tree respectively, and prints a sequence of the nodes obtained by the postorder tree walk on the binary tree.

Input

In the first line, an integer $n$, which is the number of nodes in the binary tree, is given.

In the second line, the sequence of node IDs obtained by the preorder tree walk is given separated by space characters.

In the second line, the sequence of node IDs obtained by the inorder tree walk is given separated by space characters.

Every node has a unique ID from $1$ to $n$. Note that the root does not always correspond to $1$.

Output

Print the sequence of node IDs obtained by the postorder tree walk in a line. Put a single space character between adjacent IDs.

Constraints

$1 \leq n \leq 40$

Sample Input 1

5
1 2 3 4 5
3 2 4 1 5

Sample Output 1

3 4 2 5 1

Sample Input 2

4
1 2 3 4
1 2 3 4

Sample Output 2

4 3 2 1

Solution in JAVA (judge verdict: WA: Presentation Error)

import java.io.BufferedReader;
//import java.io.FileInputStream;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.Arrays;

public class Main {

	public static void main(String[] args) throws NumberFormatException, IOException {
		// input
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		int n = Integer.parseInt(br.readLine());
		
		int[] pre = new int[n];
		String[] str = br.readLine().split(" ");
		for(int i = 0; i < n; ++i) {
			 pre[i] = Integer.parseInt(str[i]);
		}
		
		int[] in = new int[n];
		str = br.readLine().split(" ");
		for(int i = 0; i < n; ++i) {
			 in[i] = Integer.parseInt(str[i]);
		}

		// make post and print
		System.out.println(post(pre, in));
	}
	public static String post(int[] pre, int[] in) {
		// search centre
		int i = 0;
		int n = pre.length;
		while(pre[0] != in[i]){
			i += 1;
		}
		
		String str = "";
		
		// left
		// num of left element = i
		if(i == 0){
			str += "";
		}else if(i == 1){
			str += String.valueOf(in[0]);
		}else{
			str += post(Arrays.copyOfRange(pre, 1, i + 1), Arrays.copyOfRange(in, 0, i));
		}
		
		// right
		int nr = n - 1 - i;// num of right element == 1
		if(nr == 0){
			str += "";
		}else if(nr == 1){ 
			str += " " + String.valueOf(in[n - 1]);
		}else{
			str += post(Arrays.copyOfRange(pre, 1 + i, pre.length), Arrays.copyOfRange(in, i + 1, pre.length));
		}
		
		// centre
		str += " " + String.valueOf(in[i]); // or pre[0]
		
		return str;
	}
}