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branch-sums.py
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# Branch Sums
# 🟢 Easy
#
# https://www.algoexpert.io/questions/branch-sums
#
# Tags: Binary Tree - Depth-First Search
import timeit
from utils.binary_tree import BinaryTree
# Use recursive depth-first search to travel down the branches keeping
# the sum of the values seen so far on the current branch. If we use
# inorder traversal the branch values will be ordered left-to-right as
# expected by the question.
#
# Time complexity: O(n) - Each node will be visited.
# Space complexity: O(h) - The call stack will grow to the height of the
# tree, which could match O(n).
class Solution:
def branchSums(self, root):
res = []
def dfs(node, total):
total += node.value
if not node.left and not node.right:
res.append(total)
else:
if node.left:
dfs(node.left, total)
if node.right:
dfs(node.right, total)
dfs(root, 0)
return res
def test():
executors = [Solution]
tests = [
[[1, 2, 3, 4, 5, 6, 7, 8, 9, 10], [15, 16, 18, 10, 11]],
]
for executor in executors:
start = timeit.default_timer()
for _ in range(1):
for col, t in enumerate(tests):
sol = executor()
root = BinaryTree.fromList(t[0]).getRoot()
result = sol.branchSums(root)
exp = t[1]
assert result == exp, (
f"\033[93m» {result} <> {exp}\033[91m for"
+ f" test {col} using \033[1m{executor.__name__}"
)
stop = timeit.default_timer()
used = str(round(stop - start, 5))
cols = "{0:20}{1:10}{2:10}"
res = cols.format(executor.__name__, used, "seconds")
print(f"\033[92m» {res}\033[0m")
test()