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94 changes: 94 additions & 0 deletions TREEORD.java
Original file line number Diff line number Diff line change
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// https://www.spoj.com/problems/TREEORD/
// Accepted

import java.io.*;
import java.lang.*;
import java.util.*;

class TreeNode
{
int id;
TreeNode left, right;

public TreeNode(int id) {
this.id = id;
left = right = null;
}
}

public class TREEORD
{
public static int index;
public static boolean valid;

public static void getInput(int[] order, Scanner scan) {
for(int i = 0; i < order.length; i++) {
order[i] = scan.nextInt();
}
}

public static void postOrderTraversal(TreeNode root, int[] postorder)
{
if(root == null) return;

if(valid) postOrderTraversal(root.left, postorder);
if(valid) postOrderTraversal(root.right,postorder);

if(root.id != postorder[index++]) {
valid = false;
}
}

public static TreeNode constructTree(int start, int end,
int[] preorder, HashMap<Integer,Integer> map)
{
if(start > end) return null;

int key = preorder[index++];
TreeNode head = new TreeNode(key);

head.left = constructTree(start, map.get(key)-1, preorder, map);
head.right = constructTree(map.get(key)+1, end, preorder, map);

return head;
}

public static void main(String[] args) {

Scanner scan = new Scanner(System.in);

int n = scan.nextInt();

int pre[] = new int[n];
int pos[] = new int[n];
int ino[] = new int[n];

getInput(pre, scan);
getInput(pos, scan);
getInput(ino, scan);

HashMap<Integer, Integer> map = new HashMap<>();
for(int i = 0; i < n; i++) {
map.put(ino[i], i);
}

index = 0;
TreeNode root = constructTree(0, n-1, pre, map);

index = 0;
valid = true;
postOrderTraversal(root, pos);

if(valid == true) {
System.out.println("yes");
}
else {
System.out.println("no");
}
}
}

// 1 2 4 5 3 6 | pre
// 4 2 5 1 3 6 | inorder

// 4 5 2 6 3 1 | post