mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-10-07 06:09:28 +00:00
44254cf112
* Rename all Project Euler directories: Reason: The change was done to maintain consistency throughout the directory and to keep all directories in sorted order. Due to the above change, some config files had to be modified: 'problem_22` -> `problem_022` * Update scripts to pad zeroes in PE directories
65 lines
1.4 KiB
Python
65 lines
1.4 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, "r") 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])):
|
|
if j != len(a[i - 1]):
|
|
number1 = a[i - 1][j]
|
|
else:
|
|
number1 = 0
|
|
if j > 0:
|
|
number2 = a[i - 1][j - 1]
|
|
else:
|
|
number2 = 0
|
|
a[i][j] += max(number1, number2)
|
|
return max(a[-1])
|
|
|
|
|
|
if __name__ == "__main__":
|
|
print(solution())
|