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).

思路:

1.递归记录每个节点,同时返回最大的相同节点数。

2.使用map 哈希思想是解决这种题目的最好选择

Accepted Code:

 /**
* Definition for a binary tree node.
* struct TreeNode {
* int val;
* TreeNode *left;
* TreeNode *right;
* TreeNode(int x) : val(x), left(NULL), right(NULL) {}
* };
*/
class Solution {
public:
vector<int> findMode(TreeNode* root) {
unordered_map<int,int> mp;
vector<int> result;
int modeCount=getModeCount(root,mp); for(pair<int,int> p:mp)
{
if(p.second==modeCount)
result.push_back(p.first);
}
return result;
} int getModeCount(TreeNode* root,unordered_map<int,int>& mp)
{
if(root==nullptr)
return ;
if(mp.find(root->val)==mp.end())
{
mp.insert(pair<int,int>(root->val,));
}else
{
mp[root->val]++;
}
return max(mp[root->val],max(getModeCount(root->left,mp),getModeCount(root->right,mp)));
}
};

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