#include #define be(v) (v).begin(),(v).end() #define pb(q) push_back(q) typedef long long ll; using namespace std; const ll mod=1000000007, INF=mod*mod*3LL; #define doublecout(a) cout<= mod) x -= mod; return *this; } mint& operator-=(const mint a) { if ((x += mod-a.x) >= mod) x -= mod; return *this; } mint& operator*=(const mint a) { (x *= a.x) %= mod; return *this;} mint operator+(const mint a) const { return mint(*this) += a;} mint operator-(const mint a) const { return mint(*this) -= a;} mint operator*(const mint a) const { return mint(*this) *= a;} mint pow(ll t) const { if (!t) return 1; mint a = pow(t>>1); a *= a; if (t&1) a *= *this; return a; } // for prime mod mint inv() const { return pow(mod-2);} mint& operator/=(const mint a) { return *this *= a.inv();} mint operator/(const mint a) const { return mint(*this) /= a;} }; istream& operator>>(istream& is, const mint& a) { return is >> a.x;} ostream& operator<<(ostream& os, const mint& a) { return os << a.x;} int main() { cin.tie(0); cout.tie(0); ios::sync_with_stdio(false); ll n, s, k; cin >> n >> s >> k; s -= k * n * (n - 1) / 2; if(s < 0){ cout << 0 << endl; return 0; } vector > dp(s+1, vector (n+1, 0)); dp[0][0] = 1; for(int i=0;i<=s;i++){ for(int j=1;j<=n;j++){ dp[i][j] += dp[i][j-1]; if(i >= j)dp[i][j] += dp[i-j][j]; } } cout << dp[s][n] << endl; return 0; }