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Add solution for Project Euler problem 67 #5519

Merged
merged 8 commits into from Oct 28, 2021
@@ -754,6 +754,7 @@
* [Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_065/sol1.py)
* Problem 067
* [Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_067/sol1.py)
* [Sol2](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_067/sol2.py)
* Problem 069
* [Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_069/sol1.py)
* Problem 070
@@ -0,0 +1,39 @@
"""
Problem Statement:
By starting at the top of the triangle below and moving to adjacent numbers on
the row below, the maximum total from top to bottom is 23.
3
7 4
2 4 6
8 5 9 3
That is, 3 + 7 + 4 + 9 = 23.
Find the maximum total from top to bottom in triangle.txt (right click and
'Save Link/Target As...'), a 15K text file containing a triangle with
one-hundred rows.
"""
import os


def solution() -> int:
"""
Finds the maximum total in a triangle as described by the problem statement
above.
>>> solution()
7273
"""
script_dir = os.path.dirname(os.path.realpath(__file__))
triangle_path = os.path.join(script_dir, "triangle.txt")

with open(triangle_path) as in_file:
triangle = [[int(i) for i in line.split()] for line in in_file]

while len(triangle) != 1:
last_row = triangle.pop()
curr_row = triangle[-1]
for j in range(len(last_row) - 1):
curr_row[j] += max(last_row[j], last_row[j + 1])
return triangle[0][0]


if __name__ == "__main__":
print(solution())