def _put(self, key, val, curr_node):
if key < curr_node.key:
if curr_node.hasLeftChild():
self._put(key, val, curr_node.leftChild)
else:
curr_node.leftChild = TreeNode(key, val, parent=curr_node)
self.update_balance(curr_node.leftChild)
else:
if curr_node.hasRightChild():
self._put(key, val, curr_node.rightChild)
else:
curr_node.rightChild = TreeNode(key, val, parent=curr_node)
self.update_balance(curr_node.rightChild)
def minimal_tree(vals):
"""
Creates a binary search tree with minimal
height given an array of sorted integers
"""
if not vals:
return None
n = len(vals)
root = TreeNode(vals[n // 2])
root.left = minimal_tree(vals[0:n // 2])
root.right = minimal_tree(vals[n // 2 + 1:])
return root
def huffman(C):
n = len(C)
Q = C
for i in range(1, n):
x = extract_min(Q)
y = extract_min(Q)
z = TreeNode(x.data + y.data, None, x, y)
insert(Q, z)
return extract_min(q)
def test_can_create_complex_tree(self):
expected = TreeNode(
'4',
TreeNode('2', TreeNode('1', None, None), TreeNode('3', None,
None)),
TreeNode('6', TreeNode('5', None, None), TreeNode('7', None,
None)))
self.assertTreeEqual(
BinarySearchTree(['4', '2', '6', '1', '3', '5', '7']).data(),
expected)
def test_can_create_complex_tree(self):
expected = TreeNode(
"4",
TreeNode("2", TreeNode("1", None, None), TreeNode("3", None,
None)),
TreeNode("6", TreeNode("5", None, None), TreeNode("7", None,
None)),
)
self.assertTreeEqual(
BinarySearchTree(["4", "2", "6", "1", "3", "5", "7"]).data(),
expected)
def insert_one(self, value, node=None):
if self.empty():
self.root = TreeNode(value)
return
new_node = TreeNode(value)
if node == None:
node = self.root
if value < node.val:
if node.left == None:
new_node.parent = node
node.left = new_node
else:
self.insert_one(value, node.left)
else:
if node.right == None:
new_node.parent = node
node.right = new_node
else:
self.insert_one(value, node.right)
self.update()
def check_sequences(tree, sequences):
"""
Creates a tree for each sequence in sequence and
checks if it is equal to the original tree that
generated all the sequences
"""
for sequence in sequences:
root, *rest = sequence
sequence_tree = TreeNode(root)
for val in rest:
sequence_tree.insert(val)
if not is_equal(tree, sequence_tree):
print(sequence)
sequence_tree.display()
return False
return True
for sequence in sequences:
root, *rest = sequence
sequence_tree = TreeNode(root)
for val in rest:
sequence_tree.insert(val)
if not is_equal(tree, sequence_tree):
print(sequence)
sequence_tree.display()
return False
return True
if __name__ == "__main__":
tree = TreeNode(randint(0, 100))
for _ in range(6):
tree.insert(randint(0, randint(0, 100)))
print('--- Original Tree ---')
tree.display()
print('\n--- Weaved ---')
sequences = all_sequences(tree)
print('\n--- BST Sequences ---')
for sequence in sequences:
print(sequence)
print('\n--- Checking Equality Between Sequences ---')
if check_sequences(tree, sequences):
if not T1 and not T2:
return True
# One empty
if not T1 or not T2:
return False
# Non-equal values
if T1.val != T2.val:
return False
# Otherwise, check that subtrees are equivalent
return is_equal(T1.left, T2.left) and is_equal(T1.right, T2.right)
# -- Testing
from random import randint, seed
if __name__ == "__main__":
seed(1209)
T1 = TreeNode(50)
for _ in range(50):
T1.insert(randint(0, 100))
T1.display()
T2 = T1.search(42)
T2.display()
print(check_subtree(T1, T2))
def test_same_number_at_left_node(self):
expected = TreeNode('4', TreeNode('4', None, None), None)
self.assertTreeEqual(BinarySearchTree(['4', '4']).data(), expected)
"""
An iterative solution with O(N) time complexity and O(1) space complexity
"""
node = root
while node:
if n1.val > node.val and n2.val > node.val:
node = node.right
elif n1.val < node.val and n2.val < node.val:
node = node.left
else:
return node
# -- Testing
from random import randint, seed
if __name__ == "__main__":
seed(69)
tree = TreeNode(50)
for _ in range(25):
tree.insert(randint(0, 100))
tree.display()
print('---')
node0, node1 = tree.search(41), tree.search(56)
print(f'Nodes: {node0} {node1}')
print(f'LCA: {lca(tree, node0, node1)}')
print(f'LCA: {lowest_common_ancestor(tree, node0, node1)}')
def test_insert():
tree = BinarySearchTree(50)
tree.insert(25)
assert tree.root == TreeNode(50, left=TreeNode(25))
tree.insert(75)
assert tree.root == TreeNode(50, left=TreeNode(25), right=TreeNode(75))
tree.insert(100)
assert tree.root == TreeNode(50, left=TreeNode(25), \
right=TreeNode(75, right=TreeNode(100)))
tree.insert(0)
assert tree.root == TreeNode(50, left=TreeNode(25, left=TreeNode(0)), \
right=TreeNode(75, right=TreeNode(100)))
def test_init():
tree = BinarySearchTree(50)
assert tree.root == TreeNode(50)
t.assertAlmostEqual(None, tree.inorder_successor(20)) t.assertAlmostEqual(60, tree.inorder_successor(50)) t.assertAlmostEqual(None, tree.inorder_successor(55)) t.assertAlmostEqual(70, tree.inorder_successor(60)) t.assertAlmostEqual(None, tree.inorder_successor(65)) t.assertAlmostEqual(80, tree.inorder_successor(70)) t.assertAlmostEqual(None, tree.inorder_successor(85)) t.assertAlmostEqual(100, tree.inorder_successor(90)) t.assertAlmostEqual(None, tree.inorder_successor(95)) t.assertAlmostEqual(None, tree.inorder_successor(100)) t.assertAlmostEqual(None, tree.inorder_successor(110)) tree = Tree() tree.search(50) node100 = TreeNode(100) node50 = TreeNode(50) node200 = TreeNode(200) node25 = TreeNode(25) node125 = TreeNode(125) node350 = TreeNode(350) node50.left = node25 node200.left = node125 node200.right = node350 node100.left = node50 node100.right = node200 tree.root = node100 t.assertEqual(id(node100), id(tree.search(100))) t.assertEqual(id(node50), id(tree.search(50))) t.assertEqual(id(node200), id(tree.search(200)))
class Solution(object):
def searchBST(self, root, val):
"""
:type root: TreeNode
:type val: int
:rtype: TreeNode
"""
if root is None:
return None
elif root.val == val:
return root
elif root.val > val:
return self.searchBST(root.left, val)
elif root.val < val:
return self.searchBST(root.right, val)
if __name__ == "__main__":
bstArr = [4, 2, 7, 1, 3]
bst = BinarySearchTree(bstArr=bstArr)
root = TreeNode(val=bst.bstArr[0], left=None, right=None)
bst.constructBST(root, 0)
print("BST Constructed")
bst.printBST(root)
node = Solution().searchBST(root=root, val=7)
if node is not None:
print("Found TreeNode: {}".format(node.val))
else:
print("Node not found")
return float('-inf')
right_height = check_height(root.right)
if right_height == float('-inf'):
# Pass error up
return float('-inf')
height_diff = abs(left_height - right_height)
if height_diff > 1:
return float('-inf')
return max(left_height, right_height) + 1
# -- Testing
from binary_search_tree import TreeNode
from random import randint
if __name__ == "__main__":
root = TreeNode(50)
for _ in range(10):
root.insert(randint(25, 75))
root.display()
print(check_balanced(root)) # True or False
print('-' * 50)
minimal = minimal_tree([1, 2, 3, 4, 5, 6, 7, 8])
minimal.display()
print(check_balanced(minimal)) # True
if not root:
return 0
return (paths_with_sum(root.left, target) +
paths_with_sum(root.right, target) + pws_helper(root, 0, target))
def pws_helper(node, curr, target):
if not node:
return 0
curr += node.val
return (1 if curr == target else 0 + pws_helper(node.left, curr, target) +
pws_helper(node.right, curr, target))
# -- Testing
from binary_search_tree import TreeNode
from random import randint, seed
if __name__ == "__main__":
tree = TreeNode(5)
for _ in range(25):
tree.insert(randint(0, 20))
tree.display()
target = 38
total_paths = paths_with_sum(tree, target)
print(f'\nPaths with sum {target}: {total_paths} path(s)')
def test_smaller_data_at_left_node(self):
expected = TreeNode('4', TreeNode('2', None, None), None)
self.assertTreeEqual(BinarySearchTree(['4', '2']).data(), expected)
def test_smaller_number_at_left_node(self):
expected = TreeNode("4", TreeNode("2", None, None), None)
self.assertTreeEqual(BinarySearchTree(["4", "2"]).data(), expected)
def test_greater_number_at_right_node(self):
expected = TreeNode('4', None, TreeNode('5', None, None))
self.assertTreeEqual(BinarySearchTree(['4', '5']).data(), expected)
def test_greater_number_at_right_node(self):
expected = TreeNode("4", None, TreeNode("5", None, None))
self.assertTreeEqual(BinarySearchTree(["4", "5"]).data(), expected)
def test_data_is_retained(self):
expected = TreeNode('4', None, None)
self.assertTreeEqual(BinarySearchTree(['4']).data(), expected)
def validate_bst_util(node, low, high):
"""
Helper function for validating a binary search tree
"""
if not node:
return True
if not low < node.val < high:
return False
return validate_bst_util(node.left, low, node.val) and \
validate_bst_util(node.right, node.val, high)
# -- Testing
from binary_search_tree import TreeNode
from random import randint
if __name__ == "__main__":
invalid_tree = TreeNode(4, TreeNode(5), TreeNode(6))
invalid_tree.display()
print(validate_bst(invalid_tree))
print('-' * 25)
valid_tree = TreeNode(10)
for _ in range(20):
valid_tree.insert(randint(0, 20))
valid_tree.display()
print(validate_bst(valid_tree))