mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-11-24 21:41:08 +00:00
bc8df6de31
* [pre-commit.ci] pre-commit autoupdate updates: - [github.com/astral-sh/ruff-pre-commit: v0.2.2 → v0.3.2](https://github.com/astral-sh/ruff-pre-commit/compare/v0.2.2...v0.3.2) - [github.com/pre-commit/mirrors-mypy: v1.8.0 → v1.9.0](https://github.com/pre-commit/mirrors-mypy/compare/v1.8.0...v1.9.0) * [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci --------- Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
60 lines
1.3 KiB
Python
60 lines
1.3 KiB
Python
"""
|
|
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 of the triangle below:
|
|
|
|
75
|
|
95 64
|
|
17 47 82
|
|
18 35 87 10
|
|
20 04 82 47 65
|
|
19 01 23 75 03 34
|
|
88 02 77 73 07 63 67
|
|
99 65 04 28 06 16 70 92
|
|
41 41 26 56 83 40 80 70 33
|
|
41 48 72 33 47 32 37 16 94 29
|
|
53 71 44 65 25 43 91 52 97 51 14
|
|
70 11 33 28 77 73 17 78 39 68 17 57
|
|
91 71 52 38 17 14 91 43 58 50 27 29 48
|
|
63 66 04 68 89 53 67 30 73 16 69 87 40 31
|
|
04 62 98 27 23 09 70 98 73 93 38 53 60 04 23
|
|
"""
|
|
|
|
import os
|
|
|
|
|
|
def solution():
|
|
"""
|
|
Finds the maximum total in a triangle as described by the problem statement
|
|
above.
|
|
|
|
>>> solution()
|
|
1074
|
|
"""
|
|
script_dir = os.path.dirname(os.path.realpath(__file__))
|
|
triangle = os.path.join(script_dir, "triangle.txt")
|
|
|
|
with open(triangle) as f:
|
|
triangle = f.readlines()
|
|
|
|
a = [[int(y) for y in x.rstrip("\r\n").split(" ")] for x in triangle]
|
|
|
|
for i in range(1, len(a)):
|
|
for j in range(len(a[i])):
|
|
number1 = a[i - 1][j] if j != len(a[i - 1]) else 0
|
|
number2 = a[i - 1][j - 1] if j > 0 else 0
|
|
a[i][j] += max(number1, number2)
|
|
return max(a[-1])
|
|
|
|
|
|
if __name__ == "__main__":
|
|
print(solution())
|