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Permutations and Sum
Easy Accuracy: 46.08% Submissions: 473 Points: 2

Given a number N , calculate total number of permutations of it and also the sum of all permutations including that number itself.
 

Example 1:

Input: N = 5
Output: 1 5
Explanation: There is only one permutation
of 5 and sum of this permutaion is 5.

Example 2:

Input: N = 12
Output: 2 33
Explanation: Permutations of 12 are 12 and 21.
Sum of these permutations are = 12 + 21 = 33.

 

Your Task:
You don't need to read or print anyhting. Your task is to complete the function permutation() which takes N as input parameter ans returns a list that contains total number of permutations and sum of all these permutations including the number iteself.

 

Expected Time Complexity: O(K!) where K = log10N
Expected Space Complexity: O(1)

Constraints:
1 <= N <= 105

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