https://www.acmicpc.net/problem/11051
#include <iostream>
using namespace std;
long long x[1001][1001] = { 0, };
int main(void)
{
int N, K;
cin >> N >> K;
x[0][0] = 1;
x[1][0] = 1;
x[1][1] = 1;
for (int i = 2; i <= N; i++)
{
for (int j = 0; j <= i; j++)
{
if (j == 0)
x[i][j] = 1;
else
x[i][j] = (x[i - 1][j - 1] + x[i - 1][j]) % 10007;
}
}
cout << x[N][K] % 10007;
return 0;
}