Problems > Distributing Identical Coins

Distributing Identical Coins

Difficulty: 1500 3000 ms 128 MB

math combinatorics

Count the ways to hand out N identical coins to K distinct children (children may receive zero), modulo 109+7.

Input: one line with two integers N and K.

Output: C(N+K−1, K−1) mod 109+7.

Constraints:

  • 0 ≤ N ≤ 105
  • 1 ≤ K ≤ 105

Sample Tests

Input 1
3 2
Output 1
4
Input 2
0 5
Output 2
1

Read the Editorial

Discussion (opens after you solve — no spoilers before)

No comments yet.

Submit Your Solution

Log in or create a free account to run and submit code.