w3resource

Python: Find four positive even integers whose sum is n

Python Programming Puzzles: Exercise-100 with Solution

Write a Python program to find four positive even integers whose sum is a given integer.

Input:
n = 100
Output:
[94, 2, 2, 2]

Input:
n = 1000
Output:
[994, 2, 2, 2]

Input:
n = 10000
Output:
[9994, 2, 2, 2]

Input:
n = 1234567890
Output:
[1234567884, 2, 2, 2]

Sample Solution:

Python Code:

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

# Function to find four positive even integers whose sum is equal to a given number
def test(n):
    # Iterate over possible values for the first even integer (a)
    for a in range(n, 0, -1):
        # Skip odd values for a
        if not a % 2 == 0:
            continue
        
        # Iterate over possible values for the second even integer (b)
        for b in range(n - a, 0, -1):
            # Skip odd values for b
            if not b % 2 == 0:
                continue
            
            # Iterate over possible values for the third even integer (c)
            for c in range(n - b - a, 0, -1):
                # Skip odd values for c
                if not c % 2 == 0:
                    continue
                
                # Iterate over possible values for the fourth even integer (d)
                for d in range(n - b - c - a, 0, -1):
                    # Skip odd values for d
                    if not d % 2 == 0:
                        continue
                    
                    # Check if the sum of a, b, c, and d equals the target number
                    if a + b + c + d == n:
                        # Return the list of found even integers
                        return [a, b, c, d]

# Test cases with different values of n
n = 100
print("Four positive even integers whose sum is", n)
print(test(n))

n = 1000
print("\nFour positive even integers whose sum is", n)
print(test(n))

n = 10000
print("\nFour positive even integers whose sum is", n)
print(test(n))

n = 1234567890
print("\nFour positive even integers whose sum is", n)
print(test(n))

Sample Output:

Four positive even integers whose sum is 100
[94, 2, 2, 2]

Four positive even integers whose sum is 1000
[994, 2, 2, 2]

Four positive even integers whose sum is 10000
[9994, 2, 2, 2]

Four positive even integers whose sum is 1234567890
[1234567884, 2, 2, 2]

Flowchart:

Flowchart: Python - Find four positive even integers whose sum is n.

Python Code Editor :

Have another way to solve this solution? Contribute your code (and comments) through Disqus.

Previous: Expand Spaces.

What is the difficulty level of this exercise?

Test your Programming skills with w3resource's quiz.



Become a Patron!

Follow us on Facebook and Twitter for latest update.

It will be nice if you may share this link in any developer community or anywhere else, from where other developers may find this content. Thanks.

https://www.w3resource.com/python-exercises/puzzles/python-programming-puzzles-100.php