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# Populating Next Right Pointers in Each Node

Given a binary tree

```
struct TreeLinkNode {
  TreeLinkNode *left;
  TreeLinkNode *right;
  TreeLinkNode *next;
}
```

Populate each next pointer to point to its next right node. If there is no next right node, the next pointer should be set to`NULL`.

Initially, all next pointers are set to`NULL`.

**Note:**

* You may only use constant extra space.
* Recursive approach is fine, implicit stack space does not count as extra space for this problem.
* You may assume that it is a perfect binary tree (ie, all leaves are at the same level, and every parent has two children).

**Example:**

Given the following perfect binary tree,

```
     1
   /  \
  2    3
 / \  / \
4  5  6  7
```

After calling your function, the tree should look like:

```
     1 -> NULL
   /  \
  2 -> 3 -> NULL
 / \  / \
4->5->6->7 -> NULL
```

## Solution

```
/**
 * Definition for binary tree with next pointer.
 * public class TreeLinkNode {
 *     int val;
 *     TreeLinkNode left, right, next;
 *     TreeLinkNode(int x) { val = x; }
 * }
 */
public class Solution {
    public void connect(TreeLinkNode root) {
        if (root == null) return;

        Queue<TreeLinkNode> queue = new LinkedList<>();
        queue.add(root);

        while(!queue.isEmpty()) {
            int size = queue.size();
            int index = 0;
            TreeLinkNode previous = null;
            while (index < size) {
                TreeLinkNode node = queue.poll();
                if (node.left != null) queue.add(node.left);
                if (node.right != null) queue.add(node.right);
                if (previous != null) {
                    previous.next = node;
                }
                previous = node;
                index++;
            }
        }
    }
}
```


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