Validate Binary Search Tree - LeetCode
2014-03-07 14:48
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Given a binary tree, determine if it is a valid binary search tree (BST).
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.
Solution 1:
Solution 2:
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.
Solution 1:
/** * Definition for binary tree * public class TreeNode { * int val; * TreeNode left; * TreeNode right; * TreeNode(int x) { val = x; } * } */ public class Solution { int maxValue(TreeNode r){ if(r == null) return Integer.MIN_VALUE; int left = maxValue(r.left); int right = maxValue(r.right); return Math.max(r.val, Math.max(left, right)); } int minValue(TreeNode r){ if(r == null) return Integer.MAX_VALUE; int left = minValue(r.left); int right = minValue(r.right); return Math.min(r.val, Math.min(left, right)); } public boolean isValidBST(TreeNode root) { // Start typing your Java solution below // DO NOT write main() function if(root == null) return true; if(maxValue(root.left) >= root.val || minValue(root.right) <= root.val) return false; return (isValidBST(root.left) && isValidBST(root.right)); } }
Solution 2:
public class Solution { public boolean validate(TreeNode root, int min, int max){ if(root == null) return true; if(root.val > min && root.val < max && validate(root.left, min, root.val) && validate(root.right, root.val, max)) return true; else return false; } public boolean isValidBST(TreeNode root) { // Start typing your Java solution below // DO NOT write main() function return validate(root, Integer.MIN_VALUE, Integer.MAX_VALUE); } }
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