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Python Challenges: Difference between the sum of the squares of the first two hundred natural numbers and the square of the sum

Python Challenges - 1: Exercise-38 with Solution

Write a python program to find the difference between the sum of the squares of the first two hundred natural numbers and the square of the sum.

The sum of the squares of the first twenty natural numbers is,
12+22+32+.....+202 = 2870
The square of the sum of the first twenty natural numbers is,
(1 + 2 + ... + 10)2 = 44100
Hence the difference between the sum of the squares of the first twenty natural numbers and the square of the sum is 44100 – 2870 = 41230

Output: 401323300

Sample Solution:-

Python Code:

r = range(1, 201)
a = sum(r)
print (a * a - sum(i*i for i in r))

Sample Output:

401323300

Flowchart:

Python Flowchart: Difference between the sum of the squares of the first two hundred natural numbers and the square of the sum.

Python Code Editor:

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Previous: Write a Python program to find the smallest positive number that is evenly divisible by all of the numbers from 1 to 30.

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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