# Print a path from Root to Node in Binary Tree

Objective: Given a Binary tree (Not binary Search Tree ), Print a path from root to a given node.

Input: A binary tree, a node x

Output: Path from root to a given node

Example :

Approach :

since it’s not a binary search tree, we cannot use binary search technique to reach to the node. we need to travel all the nodes in order to find the node

1. Start from the root and compare it with x, if matched then we have found the node.
2. Else go left and right.
3. Recursively do step 2 and 3 till you find the node x.
4. Now when you have found the node, stop the recursion.
5. Now while going back to the root while back tracking, store the node values in the ArrayList.
6. Reverse the ArrayList and print it.
7. see the picture below

Time Complexity : O(n)

Complete Code:

Output:

```Path [1, 2, 5, 8]
```

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If you find anything incorrect or you feel that there is any better approach to solve the above problem, please write comment.
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