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LintCode(85)在二叉查找树中插入节点

2016-06-15 21:41 405 查看

题目


在二叉查找树中插入节点

给定一棵二叉查找树和一个新的树节点,将节点插入到树中。
你需要保证该树仍然是一棵二叉查找树。

样例

给出如下一棵二叉查找树,在插入节点6之后这棵二叉查找树可以是这样的:
2             2
/ \           / \
1   4   -->   1   4
/             / \
3             3   6


分析

递归和非递归两种方法实现。

Python代码

"""
Definition of TreeNode:
class TreeNode:
def __init__(self, val):
self.val = val
self.left, self.right = None, None
"""

class Solution:
"""
@param root: The root of the binary search tree.
@param node: insert this node into the binary search tree.
@return: The root of the new binary search tree.
"""

def insertNode1(self, root, node):
# write your code here
if root is None:
root = node
return root

if node.val < root.val:
root.left = self.insertNode1(root.left, node)
else:
root.right = self.insertNode1(root.left, node)

return root

def insertNode(self, root, node):
# write your code here
if root is None:
root = node
return root

t = root
while t is not None:
if node.val < t.val:
if t.left is None:
t.left = node
return root
else:
t = t.left
continue
else:
if t.right is None:
t.right = node
return root
else:
t = t.right
continue
return root


GitHub -- Python代码

C++代码

/**
* Definition of TreeNode:
* class TreeNode {
* public:
*     int val;
*     TreeNode *left, *right;
*     TreeNode(int val) {
*         this->val = val;
*         this->left = this->right = NULL;
*     }
* }
*/
class Solution {
public:
/**
* @param root: The root of the binary search tree.
* @param node: insert this node into the binary search tree
* @return: The root of the new binary search tree.
*/
TreeNode* insertNode1(TreeNode* root, TreeNode* node) {
// write your code here
if(root == NULL)
{
root = node;
return root;
}//if

if(node->val < root->val)
{
if(root->left == NULL)
{
root->left = node;
}else{
root->left = insertNode1(root->left, node);
}//else
}else{
if(root->right == NULL)
{
root->right = node;
}else{
root->right = insertNode1(root->right, node);
}//else
}//else

return root;
}

//非递归
TreeNode* insertNode(TreeNode* root, TreeNode* node) {
// write your code here
if(root == NULL)
{
root = node;
return root;
}//if

TreeNode *t = root;
while(t != NULL)
{
if(node->val < t->val)
{

if(t->left == NULL)
{
t->left = node;
return root;
}else{
t = t->left;;
continue;
}//else
}//if
else{
if(t->right == NULL)
{
t->right = node;
return root;
}else{
t = t->right;
continue;
}//else
}//else
}//while
return root;
}
};


GitHub -- C++代码
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