Showing:
Handle Score
@Ibrahim Nash 5765
@akhayrutdinov 5111
@mb1973 4993
@Quandray 4944
@saiujwal13083 4506
@sanjay05 3762
@marius_valentin_dragoi 3516
@sushant_a 3459
@verma_ji 3341
@KshamaGupta 3318
Return two prime numbers
Hard Accuracy: 39.84% Submissions: 527 Points: 8

Given an even number N (greater than 2), return two prime numbers whose sum will be equal to given number. There are several combinations possible. Print only the pair whose minimum value is the smallest among all the minimum values of pairs.

NOTE: A solution will always exist, read Goldbach’s conjecture.

Example 1:

Input: N = 74
Output: 3 71
Explaination: There are several possibilities
like 37 37. But the minimum value of this pair
is 3 which is smallest among all possible
minimum values of all the pairs.

Example 2:

Input: 4
Output: 2 2
Explaination: This is the only possible
prtitioning of 4.

You do not need to read input or print anything. Your task is to complete the function primeDivision() which takes N as input parameter and returns the partition satisfying the condition.

Expected Time Complexity: O(N*log(logN))
Expected Auxiliary Space: O(N)

Constraints:
1 ≤ N ≤ 104