#include #define rep(i, p, n) for (ll i = p; i < (ll)(n); i++) #define rep2(i, p, n) for(ll i = p; i >= (ll)(n); i-- ) using namespace std; using ll = long long; double pi=3.141592653589793; const long long inf=2*1e9; const long long linf=8*1e18; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } //atcoder #include #include using namespace atcoder; using mint1 = modint1000000007; using mint2 = modint998244353; int main() { ll N, S, K; cin >> N >> S >> K; S-=((N-1)*N/2)*K; if (S<0) { cout << 0 << endl; return 0; } vector> dp(S+1, vector(N+1)); rep(i, 0, N+1) { dp.at(0).at(i)=1; } rep(i, 0, S) { rep(j, 0, N+1) { mint1 A=0; if (j>0) { A=dp.at(i+1).at(j-1); } mint1 B=0; if ((i+1)>=j) { B=dp.at(i+1-j).at(j); } dp.at(i+1).at(j)=A+B; } } cout << dp.at(S).at(N).val(); }