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).
/**
* Definition for a binary tree node.
* public class TreeNode {
* public int val;
* public TreeNode left;
* public TreeNode right;
* public TreeNode(int x) { val = x; }
* }
*/
public class Solution {
public int[] FindMode(TreeNode root) {
List<int> modes = new List<int>();
int modeCount = 0, lastValue = int.MinValue, lastValueCount = 0;
Stack<TreeNode> stack = new Stack<TreeNode>();
TreeNode current = root;
while (current != null) {
stack.Push(current);
current = current.left;
}
while (stack.Count != 0) {
current = stack.Pop();
if (current.val == lastValue) {
lastValueCount++;
} else {
lastValue = current.val;
lastValueCount = 1;
}
if (lastValueCount > modeCount) {
modes.Clear();
modes.Add(current.val);
modeCount = lastValueCount;
} else if (lastValueCount == modeCount) {
modes.Add(current.val);
}
TreeNode node = current.right;
while (node != null) {
stack.Push(node);
node = node.left;
}
}
return modes.ToArray();
}
}