Problems > Sum of Fourth Powers Modulo

Sum of Fourth Powers Modulo

Difficulty: 1400 4000 ms 128 MB

math

Print 14 + 24 + … + N4 modulo 109+7.

Input: one integer N.

Output: the sum mod 109+7.

Constraints:

  • 1 ≤ N ≤ 1018

Sample Tests

Input 1
2
Output 1
17
Input 2
1
Output 2
1

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