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#!/usr/bin/env python
'''
Leetcode: Recover Binary Search Tree
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?
'''
from __future__ import division
import random
from BinaryTree import Node, BST
def find_outliers(root, outliers):
if root.left:
if root.left.value <= root.value:
find_outliers(root.left, outliers)
else:
outliers.append(root.left)
if root.right:
if root.right.value >= root.value:
return find_outliers(root.right, outliers)
else:
outliers.append(root.right)
# time ~ O(n), space ~ O(1)
def recover_BST(root):
print root
outliers = []
find_outliers(root, outliers)
x, y = outliers
print x, y
# swith them
x.value, y.value = y.value, x.value
print root
if __name__ == '__main__':
recover_BST(BST)
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