Problems > Power Sum

Power Sum

Difficulty: 1900 5000 ms 128 MB

math

Compute ∑i=1..N iK modulo 109+7.

Input: one line with two integers N and K.

Output: the power sum mod 109+7.

Constraints:

  • 1 ≤ N ≤ 1018
  • 0 ≤ K ≤ 100

Sample Tests

Input 1
3 2
Output 1
14
Input 2
5 0
Output 2
5

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