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【LeetCode】Binary Search Tree Iterator (2 solutions)

时间:2014-12-31 18:06:19      阅读:218      评论:0      收藏:0      [点我收藏+]

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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.

Credits:
Special thanks to @ts for adding this problem and creating all test cases.

 

解法一:

中序遍历后装入队列,顺序输出。

/**
 * Definition for binary tree
 * struct TreeNode {
 *     int val;
 *     TreeNode *left;
 *     TreeNode *right;
 *     TreeNode(int x) : val(x), left(NULL), right(NULL) {}
 * };
 */
class BSTIterator {
public:
    queue<int> minq;
    
    map<TreeNode*, bool> m;
    stack<TreeNode *> s;
    BSTIterator(TreeNode *root) {
        //inOrder traversal
        if(root != NULL)
        {
            s.push(root);
            m[root] = true;
            while(!s.empty())
            {
                TreeNode* top = s.top();
                if(top->left && m.find(top->left) == m.end())
                {
                    s.push(top->left);
                    m[top->left] = true;
                    continue;
                }
                minq.push(top->val);
                s.pop();
                if(top->right && m.find(top->right) == m.end())
                {
                    s.push(top->right);
                    m[top->right] = true;
                }
            }
        }
    }

    /** @return whether we have a next smallest number */
    bool hasNext() {
        return !minq.empty();
    }

    /** @return the next smallest number */
    int next() {
        int front = minq.front();
        minq.pop();
        return front;
    }
};

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

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解法二:

Thanks to xcv58,无需预先进行全部遍历。

利用中序遍历的递归思想:当子树的根节点访问完成后,后续节点为中序遍历该根节点右子树

/**
 * Definition for binary tree
 * struct TreeNode {
 *     int val;
 *     TreeNode *left;
 *     TreeNode *right;
 *     TreeNode(int x) : val(x), left(NULL), right(NULL) {}
 * };
 */
class BSTIterator {
public:
    stack<TreeNode *> s;
    BSTIterator(TreeNode *root) {
        pushLeft(root);
    }

    /** @return whether we have a next smallest number */
    bool hasNext() {
        return !s.empty();
    }

    /** @return the next smallest number */
    int next() {
        TreeNode* top = s.top();
        s.pop();
        pushLeft(top->right);
        return top->val;
    }
    
    void pushLeft(TreeNode* root)
    {
        if(root != NULL)
        {
            s.push(root);
            TreeNode* cur = root;
            while(cur->left)
            {
                s.push(cur->left);
                cur = cur->left;
            }
        }
    }
};

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

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【LeetCode】Binary Search Tree Iterator (2 solutions)

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原文地址:http://www.cnblogs.com/ganganloveu/p/4196016.html

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