inorder traverse
bool isValidBST(TreeNode *root) {
int pre=INT_MIN;
stack<TreeNode*> stk;
TreeNode*pointer=root;
while(pointer||!stk.empty()){
if(pointer){
stk.push(pointer);
pointer=pointer->left;
}
else{
pointer=stk.top();stk.pop();
if(pre>=pointer->val)
return false;
pre=pointer->val;
pointer=pointer->right;
}
}
return true;
}
//method 2
class Solution {
public:
int maxval(TreeNode *root) {
while(root->right)
root=root->right;
return root->val;
}
int minval(TreeNode *root) {
while(root->left)
root=root->left;
return root->val;
}
bool isValidBST(TreeNode *root) {
if(!root)
return true;
if(root->left==NULL&&root->right==NULL)
return true;
if(root->right==NULL)
return maxval(root->left)<root->val &&isValidBST(root->left);
else if(root->left==NULL)
return minval(root->right)>root->val&&isValidBST(root->right);
else return maxval(root->left)<root->val &&isValidBST(root->left)&&minval(root->right)>root->val&&isValidBST(root->right);
}
};
//method 3 and 4, from anniekim
Solution: Recursion. 1. Add lower & upper bound. O(n)
2. Inorder traversal with one additional parameter (value of predecessor). O(n)
/**
* Definition for binary tree
* struct TreeNode {
* int val;
* TreeNode *left;
* TreeNode *right;
* TreeNode(int x) : val(x), left(NULL), right(NULL) {}
* };
*/
class Solution {
public:
bool isValidBST(TreeNode *root) {
return isValidBST_1(root);
}
// solution 1: lower bound + higher bound
bool isValidBST_1(TreeNode *root) {
return isValidBSTRe_1(root, INT_MIN, INT_MAX);
}
bool isValidBSTRe_1(TreeNode *node, int lower, int upper){
if (!node) return true;
if (node->val <= lower || node->val >= upper) return false;
return isValidBSTRe_1(node->left, lower, node->val) &&
isValidBSTRe_1(node->right, node->val, upper);
}
// solution 2: inorder
bool isValidBST_2(TreeNode *root) {
int val = INT_MIN;
return isValidBSTRe_2(root, val);
}
bool isValidBSTRe_2(TreeNode *node, int &val)
{
if (!node) return true;
if (node->left && !isValidBSTRe_2(node->left, val))
return false;
if (node->val <= val)
return false;
val = node->val;
if (node->right && !isValidBSTRe_2(node->right, val))
return false;
return true;
}
};
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