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Python: Function that takes a positive integer and returns the sum of the cube of all the positive integers smaller than the specified number

Python Basic: Exercise-149 with Solution

Write a Python function that takes a positive integer and returns the sum of the cube of all the positive integers smaller than the specified number.

Ex.: 8 = 73+63+53+43+33+23+13 = 784

Sample Solution-1:

Python Code:

def sum_of_cubes(n):
 n -= 1
 total = 0
 while n > 0:
   total += n * n * n
   n -= 1
 return total
print("Sum of cubes smaller than the specified number: ",sum_of_cubes(3))

Sample Output:

Sum of cubes smaller than the specified number:  9

Pictorial Presentation:

Python: Function that takes a positive integer and returns the sum of the cube of all the positive integers smaller than the specified number.

Flowchart:

Flowchart: Function that takes a positive integer and returns the sum of the cube of all the positive integers smaller than the specified number.

Visualize Python code execution:

The following tool visualize what the computer is doing step-by-step as it executes the said program:


Sample Solution-2:

Python Code:

def sum_of_cubes(n):
   if n < 0:
       raise ValueError('n must be positive number!')
   return n*n*(n*n-2*n+1)/4
print("Sum of cubes smaller than the specified number: ",sum_of_cubes(3))
print("Sum of cubes smaller than the specified number: ",sum_of_cubes(6))

Sample Output:

Sum of cubes smaller than the specified number:  9.0
Sum of cubes smaller than the specified number:  225.0

Flowchart:

Flowchart: Function that takes a positive integer and returns the sum of the cube of all the positive integers smaller than the specified number.

Visualize Python code execution:

The following tool visualize what the computer is doing step-by-step as it executes the said program:


Sample Solution-3:

Python Code:

def sum_of_cubes(n):
   result = 0
   if n > 0:
       for i in range(n):
           result += i * i * i
       return result
   elif n <= 0:
       raise ValueError('n must be positive number!')
print("Sum of cubes smaller than the specified number: ",sum_of_cubes(3))
print("Sum of cubes smaller than the specified number: ",sum_of_cubes(6))

Sample Output:

Sum of cubes smaller than the specified number:  9
Sum of cubes smaller than the specified number:  225

Flowchart:

Flowchart: Function that takes a positive integer and returns the sum of the cube of all the positive integers smaller than the specified number.

Visualize Python code execution:

The following tool visualize what the computer is doing step-by-step as it executes the said program:

Python Code Editor :

 

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Previous: Write a Python function to find the maximum and minimum numbers from a sequence of numbers.
Next: Write a Python function to check whether a distinct pair of numbers whose product is odd present in a sequence of integer values.

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Python: Tips of the Day

Find current directory and file's directory:

To get the full path to the directory a Python file is contained in, write this in that file:

import os 
dir_path = os.path.dirname(os.path.realpath(__file__))

(Note that the incantation above won't work if you've already used os.chdir() to change your current working directory, since the value of the __file__ constant is relative to the current working directory and is not changed by an os.chdir() call.)

To get the current working directory use

import os
cwd = os.getcwd()

Documentation references for the modules, constants and functions used above:

  • The os and os.path modules.
  • The __file__ constant
  • os.path.realpath(path) (returns "the canonical path of the specified filename, eliminating any symbolic links encountered in the path")
  • os.path.dirname(path) (returns "the directory name of pathname path")
  • os.getcwd() (returns "a string representing the current working directory")
  • os.chdir(path) ("change the current working directory to path")

Ref: https://bit.ly/3fy0R6m