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030 - Digit Fifth Powers

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Project Euler #30: Digit Fifth Powers

Solution

Surprisingly there are only three numbers that can be written as the sum of fourth powers of their digits:

1634 = 14 + 64 + 34 + 44

8208 = 84 + 24 + 04 + 84

9474 = 94 + 44 + 74 + 44

As 1 = 14 is not a sum it is not included. The sum of these numbers is 1634 + 8208 + 9474 = 19316.

Find the sum of all the numbers that can be written as the sum of Nth powers of their digits.

Input Format

Input contains an integer N

Constraints

3 ≤ N ≤ 6

Output Format

Print the answer corresponding to the test case.

Sample Input

4

Sample Output

19316