Leetcode - Lowest Common Ancestor of a Binary Search Tree

Leetcode - Lowest Common Ancestor of a Binary Search Tree_第1张图片
Paste_Image.png

My code:

/**
 * Definition for a binary tree node.
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode(int x) { val = x; }
 * }
 */
public class Solution {
    public TreeNode lowestCommonAncestor(TreeNode root, TreeNode p, TreeNode q) {
        if (root == null)
            return null;
        return findAncestor(root, p, q);
    }
    
    private TreeNode findAncestor(TreeNode root, TreeNode p, TreeNode q) {
        if ((root.val >= p.val && root.val <= q.val) || (root.val <= p.val && root.val >= q.val))
            return root;
        if (root.val < p.val && root.val < q.val)
            return findAncestor(root.right, p, q);
        else if (root.val > p.val && root.val > q.val)
            return findAncestor(root.left, p, q);
        return null;
    }
}

My test result:


Leetcode - Lowest Common Ancestor of a Binary Search Tree_第2张图片
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这道题目就比较简单了。他和上面那道题的区别是什么。
如果p或者q == root,那么,他们的祖先一定是root。因为没找到的那个,一定在他的左右子树上。而在上道题目中并不一定。
相当于两个点pq同时进入这棵树。如果发现root的值正好大于等于其中一个然后小于等于另外一个,那么,他就一定是最小祖先。
否则,pq只能同时小于或者大于root.val,那么,再选择下一步遍历的方向。
很类似于pre-order,先判断root结点
**
总结: pre-order tree
**

Anyway, Good luck, Richardo!

My code:

/**
 * Definition for a binary tree node.
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode(int x) { val = x; }
 * }
 */
public class Solution {
    public TreeNode lowestCommonAncestor(TreeNode root, TreeNode p, TreeNode q) {
        if (root == null || p == null || q == null) {
            return null;
        }
        else if (p == q) {
            return p;
        }
        TreeNode curr = root;
        HashSet tracker = new HashSet();
        while (curr != null) {
            if (curr.val < p.val) {
                tracker.add(curr);
                curr = curr.right;
            }
            else if (curr.val > p.val) {
                tracker.add(curr);
                curr = curr.left;
            }
            else {
                tracker.add(curr);
                break;
            }
        }
        
        curr = root;
        TreeNode pre = null;
        
        while (curr != null) {
            if (!tracker.contains(curr)) {
                return pre;
            }
            else if (curr.val < q.val) {
                pre = curr;
                curr = curr.right;
            }
            else if (curr.val > q.val) {
                pre = curr;
                curr = curr.left;
            }
            else {
                return q;
            }
        }
        
        return null;
    }
}

我的做法代码比较复杂。
然后看了 Discuss,发现有更加简洁的做法。
both iteration and recursion
具体看
reference:
https://discuss.leetcode.com/topic/18381/my-java-solution

Anyway, Good luck, Richardo! -- 08/28/2016

/**
 * Definition for a binary tree node.
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode(int x) { val = x; }
 * }
 */
public class Solution {
    public TreeNode lowestCommonAncestor(TreeNode root, TreeNode p, TreeNode q) {
        TreeNode curr = root;
        while (curr != null) {
            if (p.val <= curr.val && curr.val <= q.val) {
                return curr;
            }
            else if (q.val <= curr.val && curr.val <= p.val) {
                return curr;
            }
            else if (p.val < curr.val && q.val < curr.val) {
                curr = curr.left;
            }
            else {
                curr = curr.right;
            }
        }
        return null;
    }
}

空间复杂度是 O(1)

现在的状态出奇的差。跟女朋友关系飘忽不定。
突然发现她,才是我力量的源泉。没有了她,我完全没有斗志了。
其实现在准备的也差不多了,过去真的就是各安天命。
整个浪费的时间并不多,也不可能因为浪费这点时间而改变结果。

把面经好好巩固下,加油吧!

Anyway, Good luck, Richardo! -- 10/23/2016

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