Problems > A Fixed Remainder

A Fixed Remainder

Difficulty: 1100 2000 ms 128 MB

math

How many integers x in [1, N] satisfy x mod A = B?

Input: one line with three integers N, A, B.

Output: the count (0 when B ≥ A).

Constraints:

  • 1 ≤ N ≤ 1018
  • 1 ≤ A ≤ 1018
  • 0 ≤ B ≤ 1018

Sample Tests

Input 1
10 3 1
Output 1
4
Input 2
10 3 0
Output 2
3

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