Given a binary search tree (BST) with duplicates, find all the mode(s) (the most frequently occurred element) in the given BST.
Assume a BST is defined as follows:
- The left subtree of a node contains only nodes with keys less than or equal to the node's key.
- The right subtree of a node contains only nodes with keys greater than or equal to the node's key.
- Both the left and right subtrees must also be binary search trees.
For example:
Given BST [1,null,2,2]
,
1 2 / 2
return [2]
.
Note: If a tree has more than one mode, you can return them in any order.
Follow up: Could you do that without using any extra space? (Assume that the implicit stack space incurred due to recursion does not count).
private readonly Dictionary<int, int> dictionary = new Dictionary<int, int>(); public int[] FindMode(TreeNode root) { Chuck(root); if (dictionary.Count > 0) { int max = dictionary.Max(x => x.Value); var array = dictionary.Where(x => x.Value == max).Select(x => x.Key).ToArray(); return array; } else { return new int[0]; } } private void Chuck(TreeNode node) { if (node == null) { return; } int val = node.val; if (dictionary.ContainsKey(val)) { dictionary[val]++; } else { dictionary[val] = 1; } Chuck(node.left); Chuck(node.right); }
Runtime: 272 ms, faster than 32.05% of C# online submissions for Find Mode in Binary Search Tree.
Memory Usage: 33.1 MB, less than 11.30% of C# online submissions forFind Mode in Binary Search Tree.