def main():
sln = Solution()
root = TreeNode(2)
a =TreeNode(1)
b = TreeNode(3)
root.left = a
root.right = b
print(sln.isValidBST(root))
def main():
sln = Solution()
a = TreeNode(1)
b = TreeNode(2)
c = TreeNode(3)
a.right = b
b.left = c
print(sln.inorderTraversal(a))
def build_tree(preorder, inorder):
if inorder:
index = inorder.index(preorder.pop(0))
node = TreeNode(inorder[index])
node.left = build_tree(preorder, inorder[0:index])
node.right = build_tree(preorder, inorder[index + 1:])
return node
def sorted_array_to_list(nums):
if not nums:
return None
mid = len(nums) // 2
node = TreeNode(nums[mid])
node.left = sorted_array_to_list(nums[:mid])
node.right = sorted_array_to_list(nums[mid + 1:])
return node
def _generate_trees(self, start_inclusive: int, end_inclusive: int) -> List[TreeNode]:
if start_inclusive > end_inclusive:
return [None]
if start_inclusive == end_inclusive:
return [TreeNode(start_inclusive)]
result = []
for i in range(start_inclusive, end_inclusive + 1):
left_trees = self._generate_trees(start_inclusive, i - 1)
right_trees = self._generate_trees(i + 1, end_inclusive)
for lt in left_trees:
for rt in right_trees:
result.append(self._create_tree_node(i, lt, rt))
return result
def _search(self, node: TreeNode, level: int, result: List[List[int]]):
if level >= len(result):
result.append([node.val])
else:
result[level].append(node.val)
if node.left:
self._search(node.left, level + 1, result)
if node.right:
self._search(node.right, level + 1, result)
solution = Solution()
root = TreeNode(3)
root.left = TreeNode(9)
root.right = TreeNode(20)
root.right.left = TreeNode(15)
root.right.right = TreeNode(7)
assert solution.zigzagLevelOrder(root) == [[3], [20, 9], [15, 7]]
root = TreeNode(3)
root.left = TreeNode(9)
root.right = TreeNode(20)
root.left.left = TreeNode(2)
root.left.right = TreeNode(4)
root.right.left = TreeNode(15)
root.right.right = TreeNode(7)
assert solution.zigzagLevelOrder(root) == [[3], [20, 9], [2, 4, 15, 7]]
class Solution:
def lowestCommonAncestor(self, root: TreeNode, p: TreeNode,
q: TreeNode) -> TreeNode:
return self._search_p_or_q(root, p, q)
def _search_p_or_q(self, root: TreeNode, p: TreeNode,
q: TreeNode) -> TreeNode:
if not root or root.val == p.val or root.val == q.val:
return root
left = self._search_p_or_q(root.left, p, q)
right = self._search_p_or_q(root.right, p, q)
return root if (left and right) else (left or right)
solution = Solution()
r = TreeNode(3)
r.left = TreeNode(5)
r.right = TreeNode(1)
r.left.left = TreeNode(6)
r.left.right = TreeNode(2)
r.right.left = TreeNode(0)
r.right.right = TreeNode(8)
r.left.right.left = TreeNode(7)
r.left.right.right = TreeNode(4)
assert solution.lowestCommonAncestor(r, TreeNode(5), TreeNode(1)).val == 3
assert solution.lowestCommonAncestor(r, TreeNode(7), TreeNode(4)).val == 2
def lowestCommonAncestor(self, root: TreeNode, p: TreeNode,
q: TreeNode) -> TreeNode:
if not root:
return root
if p.val < root.val and q.val < root.val:
return self.lowestCommonAncestor(root.left, p, q)
if p.val > root.val and q.val > root.val:
return self.lowestCommonAncestor(root.right, p, q)
return root
solution = Solution()
r = TreeNode(6)
r.left = TreeNode(2)
r.right = TreeNode(8)
r.left.left = TreeNode(0)
r.left.right = TreeNode(4)
r.right.left = TreeNode(7)
r.right.right = TreeNode(9)
r.left.right.left = TreeNode(3)
r.left.right.right = TreeNode(5)
assert solution.lowestCommonAncestor(r, TreeNode(8), TreeNode(4)).val == 6
assert solution.lowestCommonAncestor(r, TreeNode(8), TreeNode(2)).val == 6
assert solution.lowestCommonAncestor(r, TreeNode(0), TreeNode(5)).val == 2
assert solution.lowestCommonAncestor(r, TreeNode(3), TreeNode(5)).val == 4
def _create_tree_node(self, value: int, left: TreeNode, right: TreeNode) -> TreeNode:
t = TreeNode(value)
t.left = left
t.right = right
return t
class Solution:
def isValidBST(self, root: TreeNode) -> bool:
return self._is_valid(root)
def _is_valid(
self, node: TreeNode, low_limit=float('-inf'),
high_limit=float('inf')) -> bool:
if not node:
return True
if node.val <= low_limit or node.val >= high_limit:
return False
return self._is_valid(node.left, low_limit,
node.val) and self._is_valid(
node.right, node.val, high_limit)
solution = Solution()
t = TreeNode(2)
t.left = TreeNode(1)
t.right = TreeNode(3)
assert solution.isValidBST(t)
t = TreeNode(5)
t.left = TreeNode(1)
t.right = TreeNode(4)
t.right.left = TreeNode(3)
t.right.right = TreeNode(6)
assert not solution.isValidBST(t)