Implement an iterator over a binary search tree (BST). Your iterator will be initialized with the root node of a BST.
Calling next() will return the next smallest number in the BST.
Note: next() and hasNext() should run in average O(1) time and uses O(h) memory, where h is the height of the tree.
题目中要求对二叉搜索树进行线索化,按照题目要求,next()返回下一个最小的元素,那么是需要从小到大排列,即中序遍历。
首先选取数据结构,C++容器中的队列queue满足题目的要求。
1)对二叉搜索树进行中序遍历,将结果存入到队列中。
2)判断has_next,只需要判断队列是否为空。
3)next,即从队列中取出队首的元素,弹出。
代码如下:
/**
* Definition for binary tree
* struct TreeNode {
* int val;
* TreeNode *left;
* TreeNode *right;
* TreeNode(int x) : val(x), left(NULL), right(NULL) {}
* };
*/
#include <queue>
#include <stack>
using namespace std;
class BSTIterator {
public:
BSTIterator(TreeNode *root) {
//对二叉搜索树进行中序遍历,结果存入到队列中
stack<TreeNode*> node_stack;
TreeNode* pNode = root;
while(pNode || !node_stack.empty()){
if(pNode != NULL){
node_stack.push(pNode);
pNode = pNode->left;
}else{
pNode = node_stack.top();
node_stack.pop();
int_queue.push(pNode->val);
pNode = pNode->right;
}
}
}
/** @return whether we have a next smallest number */
bool hasNext() {
return ! int_queue.empty();
}
/** @return the next smallest number */
int next() {
//队列首元素出列
if(!int_queue.empty()){
int result = int_queue.front();
int_queue.pop();
return result;
}else{
return -1;
}
}
private:
queue<int> int_queue;
};
/**
* Your BSTIterator will be called like this:
* BSTIterator i = BSTIterator(root);
* while (i.hasNext()) cout << i.next();
*/