Assume a BST is defined as follows:
The left subtree of a node contains only nodes with keys less than the node's key.
The right subtree of a node contains only nodes with keys greater than the node's key.
Both the left and right subtrees must also be binary search trees.
confused what "{1,#,2,3}" means? > read more on how binary tree is serialized on OJ.
[分析] 这题较一年之前的版本多了些边界值的test case,看出leetcode在不断优化完善,赞!
对我来说,对边界条件的考虑是bug free的关键。基本思路,判断根节点是否满足条件,然后递归判断左右子节点是否满足条件。判断是否满足BST性质,可以从根节点下传节点的值域,root的初始值域是多少呢,(Integer.MIN_VALUE, Integer.MAX_VALUE)貌似是一个合理的选择,但如果root本身就是Integer.MIN_VALUE或者是Intger.MAX_VALUE呢? 因此还需要使用两个辅助flag,effLowBound, effUpBound分别表示值域的上下边界是否有效,对于root,上下边界均无效。
public class Solution { public boolean isValidBST(TreeNode root) { return check(root, Integer.MIN_VALUE, Integer.MAX_VALUE, false, false); } public boolean check(TreeNode curr, int low, int up, boolean effLowBound, boolean effUpBound) { if (curr == null) return true; if ((effLowBound && curr.val <= low) || (effUpBound && curr.val >= up)) return false; return check(curr.left, low, curr.val, effLowBound, true) && check(curr.right, curr.val, up, true, effUpBound); } }