from implementations.tree import BinaryTreeNode
def binary_tree_paths(root):
return list(_binary_tree_paths(root))
def _binary_tree_paths(root):
if root.left:
for path in _binary_tree_paths(root.left):
yield '%s->%s' % (root.value, path)
if root.right:
for path in _binary_tree_paths(root.right):
yield '%s->%s' % (root.value, path)
if root.left is None and root.right is None:
yield root.value
if __name__ == '__main__':
tree = BinaryTreeNode(4)
tree.left = BinaryTreeNode(2)
tree.left.left = BinaryTreeNode(1)
tree.right = BinaryTreeNode(7)
tree.right.left = BinaryTreeNode(6)
tree.right.right = BinaryTreeNode(9)
print binary_tree_paths(tree)
from implementations.tree import BinaryTreeNode
def vertical_traversal(root):
cache = defaultdict(list)
queue = deque([(0, root)])
min_level = 0
while len(queue) > 0:
level, curr = queue.popleft()
min_level = min(min_level, level)
cache[level].append(curr.value)
if curr.left is not None:
queue.append((level - 1, curr.left))
if curr.right is not None:
queue.append((level + 1, curr.right))
result = []
while min_level in cache:
result.append(cache[min_level])
min_level += 1
return result
if __name__ == '__main__':
tree = BinaryTreeNode(3)
tree.left = BinaryTreeNode(9)
tree.right = BinaryTreeNode(20)
tree.right.left = BinaryTreeNode(15)
tree.right.right = BinaryTreeNode(7)
print vertical_traversal(tree)
1
/ \
2 2
\ \
3 3
"""
from implementations.tree import BinaryTreeNode
def symmetric(tree):
return _symmetric(tree.left, tree.right)
def _symmetric(tree1, tree2):
if tree1 is None and tree2 is None:
return True
elif tree1 is None or tree2 is None:
return False
return tree1.value == tree2.value and _symmetric(tree1.left, tree2.right) and _symmetric(tree1.right, tree2.left)
if __name__ == '__main__':
tree = BinaryTreeNode(1)
tree.left = BinaryTreeNode(4)
tree.left.left = BinaryTreeNode(3)
tree.left.right = BinaryTreeNode(2)
tree.right = BinaryTreeNode(4)
tree.right.left = BinaryTreeNode(2)
tree.right.right = BinaryTreeNode(3)
print symmetric(tree)
"""
Write a function to check if two trees have the same structure and the same elements.
"""
from implementations.tree import BinaryTreeNode
def equal(tree1, tree2):
if tree1 is None and tree2 is None:
return True
elif tree1 is None or tree2 is None:
return False
return tree1.value == tree2.value and equal(tree1.left, tree2.left) and equal(tree1.right, tree2.right)
if __name__ == "__main__":
tree1 = BinaryTreeNode(4)
tree1.left = BinaryTreeNode(2)
tree1.left.left = BinaryTreeNode(1)
tree1.right = BinaryTreeNode(7)
tree1.right.left = BinaryTreeNode(6)
tree1.right.right = BinaryTreeNode(9)
tree2 = BinaryTreeNode(4)
tree2.left = BinaryTreeNode(2)
tree2.left.left = BinaryTreeNode(1)
tree2.right = BinaryTreeNode(7)
tree2.right.left = BinaryTreeNode(6)
tree2.right.right = BinaryTreeNode(9)
print equal(tree1, tree2)
"""
from implementations.tree import BinaryTreeNode
def max_depth(tree):
if not tree:
return 0
stack = [(1, tree)]
max_h = 1
while stack:
depth, node = stack.pop()
if node.left:
stack.append((depth + 1, node.left))
if node.right:
stack.append((depth + 1, node.right))
if depth > max_h:
max_h = depth
return max_h
if __name__ == '__main__':
t = BinaryTreeNode(5)
t.left = BinaryTreeNode(2)
t.right = BinaryTreeNode(3)
t.left.left = BinaryTreeNode(9)
t.left.left.left = BinaryTreeNode(12)
t.right.left = BinaryTreeNode(-1)
t.right.right = BinaryTreeNode(10)
print max_depth(t)
