mirror of
https://github.com/TheAlgorithms/Python.git
synced 2025-07-05 01:09:40 +08:00
Rename Project Euler directories and other dependent changes (#3300)
* 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
This commit is contained in:
64
project_euler/problem_018/solution.py
Normal file
64
project_euler/problem_018/solution.py
Normal file
@ -0,0 +1,64 @@
|
||||
"""
|
||||
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())
|
Reference in New Issue
Block a user