Find Mode in Binary Search Tree

本文介绍了一种算法,该算法通过一次中序遍历来找出二叉搜索树中的众数(即出现频率最高的元素)。文章详细解释了如何统计元素出现的频率,并最终找出众数。

Find Mode in Binary Search Tree

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.

解析:

二叉搜索树中序遍历的序列是递增排序数列,先遍历一遍统计其中出现次数最高的频率,然后再把出现频率最高的那些数找出来。

代码:

/**
 * 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) {
        vector<int> ans;
        int cnt=0;
        int curcount=0;
        int maxcoutn=0;
        int cur=INT_MIN;
        Mode(root,ans,0,curcount,maxcoutn,cur);
        curcount=0;
        cur=INT_MIN;
         Mode(root,ans,1,curcount,maxcoutn,cur);
         return ans;
    }
    void Mode(TreeNode* root,vector<int>&mode,int flag,int &curcount,int &maxcount,int &cur)
    {
        if (root==NULL)
        return ;
        Mode(root->left,mode,flag,curcount,maxcount,cur);
        if (cur==root->val)
        {
            curcount++;
        }
        else
        {
            curcount=1;
            cur=root->val;
        }
        
        if (curcount>maxcount)
        {
            maxcount=curcount;
        }
        else if(curcount==maxcount)
        {
            if (flag==1)
            {
                mode.push_back(cur);
            }
        }
        
        Mode(root->right,mode,flag,curcount,maxcount,cur);
        return ;
        
    }
    
};



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