Sunday, February 22, 2015

LeetCode [99] Recover Binary Search Tree

 99. Recover Binary Search Tree

Hard

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

Recover the tree without changing its structure.

Example 1:

Input: [1,3,null,null,2]

   1
  /
 3
  \
   2

Output: [3,1,null,null,2]

   3
  /
 1
  \
   2

Example 2:

Input: [3,1,4,null,null,2]

  3
 / \
1   4
   /
  2

Output: [2,1,4,null,null,3]

  2
 / \
1   4
   /
  3

Follow up:

  • A solution using O(n) space is pretty straight forward.
  • Could you devise a constant space solution?
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/**
 * Definition for a binary tree node.
 * struct TreeNode {
 *     int val;
 *     TreeNode *left;
 *     TreeNode *right;
 *     TreeNode() : val(0), left(nullptr), right(nullptr) {}
 *     TreeNode(int x) : val(x), left(nullptr), right(nullptr) {}
 *     TreeNode(int x, TreeNode *left, TreeNode *right) : val(x), left(left), right(right) {}
 * };
 */
class Solution {
public:
    void recoverTree(TreeNode* root) {
        TreeNode *e1 = NULL, *e2 = NULL, *prev = NULL;
        int lb = INT_MIN;
        dfs(root, prev, e1, e2, lb);
        swap(e1->val, e2->val);
    }
    void dfs(TreeNode* root, TreeNode *&prev, TreeNode *&e1, TreeNode *&e2, int &lb){
        if(!root) return;
        dfs(root->left, prev, e1, e2, lb);
        if(root->val<lb){
            if(!e1){
                e1 = prev;
            }
            e2 = root;
        }
        lb = max(root->val, lb);
        prev = root;
        dfs(root->right, prev, e1, e2, lb);
    }
};

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