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Python: Sort the numbers by the sum of their digits

Python Programming Puzzles: Exercise-38 with Solution

Write a Python program to sort the numbers of a given list by the sum of their digits.

Input: 
[10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20] 
Output:
[10, 11, 20, 12, 13, 14, 15, 16, 17, 18, 19]

Input: 
[23, 2, 9, 34, 8, 9, 10, 74] 
Output:
[10, 2, 23, 34, 8, 9, 9, 74]

Pictorial Presentation:

Python: Sort the numbers by the sum of their digits.

Sample Solution-1:

Python Code:

#License: https://bit.ly/3oLErEI

def test(nums):
     return sorted(nums, key=lambda n: sum(int(c) for c in str(n) if c != "-"))
 
nums = [10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20]
print("Original list of numbers:",nums)
print("Sort the numbers of the said list by the sum of their digits:")
print(test(nums))
nums = [23,2,9,34,8,9,10,74]
print("\nOriginal list of numbers:",nums)
print("Sort the numbers of the said list by the sum of their digits:")
print(test(nums))

Sample Output:

Original list of numbers: [10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20]
Sort the numbers of the said list by the sum of their digits:
[10, 11, 20, 12, 13, 14, 15, 16, 17, 18, 19]

Original list of numbers: [23, 2, 9, 34, 8, 9, 10, 74]
Sort the numbers of the said list by the sum of their digits:
[10, 2, 23, 34, 8, 9, 9, 74]

Flowchart:

Flowchart: Python - Sort the numbers by the sum of their digits.

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:

#License: https://bit.ly/3oLErEI

def test(nums):
    unordered = nums.copy()
    ordered = []
    while unordered:
        # The number that comes first, since the list is sorted by the primes
        smallest = unordered[0]
        s = sum(int(c) for c in str(smallest) if c != "-")
        for t in unordered:
            t_s = sum(int(c) for c in str(t) if c != "-")
            if t_s < s:
                smallest = t
                s = t_s
        ordered.append(smallest)
        unordered.remove(smallest)
    return ordered
 
nums = [10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20]
print("Original list of numbers:",nums)
print("Sort the numbers of the said list by the sum of their digits:")
print(test(nums))
nums = [23,2,9,34,8,9,10,74]
print("\nOriginal list of numbers:",nums)
print("Sort the numbers of the said list by the sum of their digits:")
print(test(nums))

Sample Output:

Original list of numbers: [10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20]
Sort the numbers of the said list by the sum of their digits:
[10, 11, 20, 12, 13, 14, 15, 16, 17, 18, 19]

Original list of numbers: [23, 2, 9, 34, 8, 9, 10, 74]
Sort the numbers of the said list by the sum of their digits:
[10, 2, 23, 34, 8, 9, 9, 74]

Flowchart:

Flowchart: Python - Sort the numbers by the sum of their digits.

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: Find the largest integer divisor of a number n that is less than n.
Next: Determine which triples sum to zero.

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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