Given a binary search tree (BST), find the lowest common ancestor (LCA) of two given nodes in the BST.
According to the definition of LCA on Wikipedia: “The lowest common ancestor is defined between two nodes v and w as the lowest node in T that has both v and w as descendants (where we allow a node to be a descendant of itself).”
_______6______ / \ ___2__ ___8__ / \ / \ 0 _4 7 9 / \ 3 5
For example, the lowest common ancestor (LCA) of nodes
2
and 8
is 6
. Another example is LCA of nodes 2
and 4
is 2
, since a node can be a descendant of itself according to the LCA definition.
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/** | |
* 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: | |
TreeNode* lowestCommonAncestor(TreeNode* root, TreeNode* p, TreeNode* q) { | |
if(root==NULL) | |
return NULL; | |
if(root->val==p->val) | |
return root; | |
if(root->val==q->val) | |
return root; | |
if(p->val>root->val && q->val<root->val || | |
q->val>root->val && p->val<root->val) | |
return root; | |
if(p->val>root->val && q->val>root->val) | |
return lowestCommonAncestor(root->right, p, q); | |
if(p->val<root->val && q->val<root->val) | |
return lowestCommonAncestor(root->left, p, q); | |
} | |
}; |
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class Solution { | |
public: | |
TreeNode* lowestCommonAncestor(TreeNode* root, TreeNode* p, TreeNode* q) { | |
TreeNode* res=NULL; | |
if(root==NULL) | |
return res; | |
if(p->val>q->val) | |
return lowestCommonAncestor(root, q, p); | |
if(p->val<=root->val&&q->val>=root->val) | |
res=root; | |
if(p->val<root->val&&q->val<root->val) | |
res=lowestCommonAncestor(root->left, p, q); | |
if(p->val>root->val&&q->val>root->val) | |
res=lowestCommonAncestor(root->right, p, q); | |
return res; | |
} | |
}; |
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