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# 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:

Python Code Editor :

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