#include #define all(c) c.begin(), c.end() #define rall(c) c.rbegin(), c.rend() using namespace std; using ll = long long; constexpr ll MOD = 1000000007; constexpr int N_MAX = 20000; constexpr int M_MAX = 100; namespace Partition { int n, m; // ボールの個数,グループ数 ll p[N_MAX+1][M_MAX+1]; void init(int nn, int mm) { n = nn; m = mm; p[0][0] = 1; for(int j=1;j<=m;++j) p[0][j] = 1; for(int i=1;i<=n;++i) { for(int j=1;j<=m;++j) { p[i][j] = (p[i][j-1] + (i-j<0?0:p[i-j][j])) % MOD; } } } const ll get(int i, int j) { return p[i][j]; } } int main() { ll n,s,m; cin >> n >> s >> m; ll ss = s-n*(n-1)/2*m; if(ss < 0) { cout << 0 << endl; return 0; } Partition::init(ss, n); cout << Partition::get(ss, n) << endl; }