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Copy pathConvertSortedArrayToBinarySearchTree.cpp
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121 lines (118 loc) · 2.94 KB
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#include<iostream>
#include<new>
#include<vector>
#include<cmath>
using namespace std;
//Definition for binary tree
struct TreeNode
{
int val;
TreeNode *left;
TreeNode *right;
TreeNode(int x) : val(x), left(NULL), right(NULL) {}
};
class Solution
{
public:
TreeNode *sortedArrayToBST(vector<int> &num)
{
if(num.empty())
return NULL;
TreeNode *root=NULL;
int i;
for(i=0; i<(int)num.size(); i++)
insert(root,num[i]);
return root;
}
void insert(TreeNode *&root,int key)
{
int lhigh,rhigh;
if(root==NULL)
{
root=new TreeNode(key);
if(root==NULL)
return;
}
else if(key<root->val)
{
insert(root->left,key);
lhigh=maxDepth(root->left);
rhigh=maxDepth(root->right);
if(abs(lhigh-rhigh)>1)
{
if(key<root->left->val)
root=SingleRotateWithLeft(root);
else
root=DoubleRotateWithLeft(root);
}
}
else
{
insert(root->right,key);
lhigh=maxDepth(root->left);
rhigh=maxDepth(root->right);
if(abs(lhigh-rhigh)>1)
{
if(key>root->right->val)
root=SingleRotateWithRight(root);
else
root=DoubleRotateWithLeft(root);
}
}
}
int maxDepth(TreeNode *root)
{
if(root)
{
if(root->left==NULL&&root->right==NULL)
return 1;
int leftDepth=maxDepth(root->left);
int rightDepth=maxDepth(root->right);
return leftDepth>= rightDepth ?(leftDepth+1):(rightDepth+1);
}
return 0;
}
TreeNode* SingleRotateWithLeft(TreeNode *&root)
{
TreeNode *l=root->left;
root->left=l->right;
l->right=root;
return l;
}
TreeNode* SingleRotateWithRight(TreeNode *&root)
{
TreeNode *r=root->right;
root->right=r->left;
r->left=root;
return r;
}
TreeNode* DoubleRotateWithLeft(TreeNode *&root)
{
SingleRotateWithRight(root->left);
return SingleRotateWithLeft(root);
}
TreeNode* DoubleRotateWithRight(TreeNode *&root)
{
SingleRotateWithLeft(root->right);
return SingleRotateWithRight(root);
}
void inorder(TreeNode *root)
{
if(root)
{
inorder(root->left);
cout<<root->val<<" ";
inorder(root->right);
}
}
};
int main()
{
Solution s;
TreeNode *root=NULL;
vector<int> vec={1,2,3,4,5,6,7,8,9,10};
root=s.sortedArrayToBST(vec);
s.inorder(root);
cout<<endl;
cout<<s.maxDepth(root)<<endl;
}