LeetCode – Binary Tree Vertical Order Traversal (Java)

Given a binary tree, return the vertical order traversal of its nodes' values. (ie, from top to bottom, column by column).

Java Solution

For each node, its left child's degree is -1 and is right child's degree is +1. We can do a level order traversal and save the degree information.

```public List<List<Integer>> verticalOrder(TreeNode root) { List<List<Integer>> result = new ArrayList<List<Integer>>(); if(root==null) return result;   // level and list HashMap<Integer, ArrayList<Integer>> map = new HashMap<Integer, ArrayList<Integer>>();   LinkedList<TreeNode> queue = new LinkedList<TreeNode>(); LinkedList<Integer> level = new LinkedList<Integer>();   queue.offer(root); level.offer(0);   int minLevel=0; int maxLevel=0;   while(!queue.isEmpty()){ TreeNode p = queue.poll(); int l = level.poll();   //track min and max levels minLevel=Math.min(minLevel, l); maxLevel=Math.max(maxLevel, l);   if(map.containsKey(l)){ map.get(l).add(p.val); }else{ ArrayList<Integer> list = new ArrayList<Integer>(); list.add(p.val); map.put(l, list); }   if(p.left!=null){ queue.offer(p.left); level.offer(l-1); }   if(p.right!=null){ queue.offer(p.right); level.offer(l+1); } }     for(int i=minLevel; i<=maxLevel; i++){ if(map.containsKey(i)){ result.add(map.get(i)); } }   return result; }```
Category >> Algorithms
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• Matias SM

Same idea, alternate implementation (recursive). Note: I print the result, but returning a level list as shown in the example is trivially done with the same logic.

Note: this is also a Time O(N) impl and Space O(N).
Note 2: recursive implementation IMHO is way cleaner and will probably require less memory since we don’t have extra lists. Stack size shouldn’t be an issue considering that it only requires O(H) recursions (H = height of the tree)

``` class BinTreeNode { public final T value; public BinTreeNode left; public BinTreeNode right; }```

``` void columnOrder(BinTreeNode n) { Map<Integer, List<BinTreeNode>> columns = new HashMap(); columnOrder(n , columns, 0); for (Integer idx : columns.keySet().stream().sorted().collect(Collectors.toList())) { List<BinTreeNode> column = columns.get(idx); for (BinTreeNode c : column) { System.out.println(c.value); } } } ```

``` void columnOrder(BinTreeNode n, Map<Integer, List<BinTreeNode>> columns, int column) { List<BinTreeNode> l = columns.computeIfAbsent(column, i -> new LinkedList()); l.add(n); if (n.left != null) columnOrder(n.left , columns, column - 1); if (n.right != null) columnOrder(n.right , columns, column + 1); } ```