Monday, January 26, 2015

Binary Search Tree Iterator

Binary Search Tree Iterator

 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.
---------------------------------------------- think ------------------------------------------------------------
in-order traversal 
the usage of vector as stack
---------------------------------------------- codes --------------------------------------------------------------

/**
 * Definition for binary tree
 * struct TreeNode {
 *     int val;
 *     TreeNode *left;
 *     TreeNode *right;
 *     TreeNode(int x) : val(x), left(NULL), right(NULL) {}
 * };
 */
class BSTIterator {
private:
    vector<TreeNode*> stack;
public:
    BSTIterator(TreeNode *root) {
        while(root) {
            stack.push_back(root);
            root = root->left;
        }
    }

    /** @return whether we have a next smallest number */
    bool hasNext() {
        if (stack.size()) {
            return true;
        } else {
            return false;
        }
    }

    /** @return the next smallest number */
    int next() {
        TreeNode* nxt = stack.back();
        stack.pop_back();
        assert(nxt);
        int result = nxt->val;
        if (nxt->right) {
            stack.push_back(nxt->right);
            nxt = nxt->right;
            nxt = nxt->left;
            while (nxt) {
                stack.push_back(nxt);
                nxt = nxt->left;
            }
        }
        return result;
    }
};

/**
 * Your BSTIterator will be called like this:
 * BSTIterator i = BSTIterator(root);
 * while (i.hasNext()) cout << i.next();
 */

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