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"""
Given a binary tree, find its minimum depth.
The minimum depth is the number of nodes along the shortest path from the root node down to the nearest leaf node.
Note: A leaf is a node with no children.
"""
from typing import Optional
from _Binary_Tree import TreeNode, ConstructTree
def min_depth(root: Optional[TreeNode]) -> int:
"""
:param root: binary tree with 0 to 100000 nodes
:return: depth of the nearest leaf node
"""
if not root:
return 0
current_depth = 1
current_level = [root]
while current_level:
next_level = []
for current_node in current_level:
if not current_node.left and not current_node.right:
return current_depth
if current_node.left:
next_level.append(current_node.left)
if current_node.right:
next_level.append(current_node.right)
current_depth += 1
current_level = next_level
test_cases = [([], 0),
([3, 9, 20, None, None, 15, 7], 2),
([2, None, 3, None, 4, None, 5, None, 6], 5),
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None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None,
0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0,
None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None,
0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0,
None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None,
0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0,
None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None,
0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0,
None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None,
0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, None, 0, 0], 1804), ]
for test_tree_list, expected_depth in test_cases:
if test_tree_list:
assert min_depth(ConstructTree.build_tree_leetcode(test_tree_list).root) == expected_depth
else:
assert min_depth(None) == 0