Python Challenges: Find the maximum total from top to bottom of the triangle below
Python Challenges - 1: Exercise-44 with Solution
Write a Python program to find the maximum total from top to bottom of the triangle below.
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 25.
Write a Python program to find the maximum total from top to bottom of the triangle below.
Sample Solution:
Python Code:
def digits_sum():
for i in reversed(range(len(triangle_num) - 1)):
for j in range(len(triangle_num[i])):
triangle_num[i][j] += max(triangle_num[i + 1][j], triangle_num[i + 1][j + 1])
return str(triangle_num[0][0])
triangle_num = [ # Mutable
[75],
[95,64],
[17,47,82],
[18,35,87,10],
[20, 4,82,47,65],
[19, 1,23,75, 3,34],
[88, 2,77,73, 7,63,67],
[99,65, 4,28, 6,16,70,92],
[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, 4,68,89,53,67,30,73,16,69,87,40,31],
[ 4,62,98,27,23, 9,70,98,73,93,38,53,60, 4,23],
]
print(digits_sum())
Sample Output:
1074
Flowchart:
Python Code Editor:
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