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Leetcode - Recover Binary Search Tree

 
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Two elements of a binary search tree (BST) are swapped by mistake.

Recover the tree without changing its structure.

Note:
A solution using O(n) space is pretty straight forward. Could you devise a constant space solution?

[分析] 正常的BST,其中序遍历序列是一个递增序列,假设A,B节点互换了位置,则在中序遍历中A比其后元素大,B比前面元素小,可据此性质找出AB节点并调换回来。

/**
 * Definition for a binary tree node.
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode(int x) { val = x; }
 * }
 */
public class Solution {
    // Method 2: recursive
    TreeNode prev, p, q;
    public void recoverTree(TreeNode root) {
        inorder(root);
        if (p != null) {
            int tmp = p.val;
            p.val = q.val;
            q.val = tmp;
        }
    }
    public void inorder(TreeNode root) {
        if (root == null) return;
        inorder(root.left);
        if (prev != null && prev.val > root.val) {
            if (p == null)
                p = prev;
            q = root;
        }
        prev = root;
        inorder(root.right);
    }
    
    // Method 1: iterative
    public void recoverTree1(TreeNode root) {
        if (root == null) return;
        LinkedList<TreeNode> stack = new LinkedList<TreeNode>();
        TreeNode curr = root, prev = null;
        TreeNode errPair1First = null, errPair1Sec = null;
        TreeNode errPair2Sec = null;
        while (!stack.isEmpty() || curr != null) {
            if (curr != null) {
                stack.push(curr);
                curr = curr.left;
            } else {
                curr = stack.pop();
                if (prev != null && prev.val > curr.val) {
                    if (errPair1First == null) {
                        errPair1First = prev;
                        errPair1Sec = curr;
                    } else {
                        errPair2Sec = curr;
                        break;
                    }
                } 
                prev = curr;
                
                curr = curr.right;
            }
        }
        if (errPair2Sec == null) {
            swap(errPair1First, errPair1Sec);
        } else {
            swap(errPair1First, errPair2Sec);
        }
    }
    private void swap (TreeNode node1, TreeNode node2) {
        int tmp = node1.val;
        node1.val = node2.val;
        node2.val = tmp;
    }
}
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