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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

def test(n):
for a in range(n, 0, -1):
if not a % 2 == 0:
continue
for b in range(n - a, 0, -1):
if not b % 2 == 0:
continue
for c in range(n - b - a, 0, -1):
if not c % 2 == 0:
continue
for d in range(n - b - c - a, 0, -1):
if not d % 2 == 0:
continue
if a + b + c + d == n:
return [a, b, c, d]

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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