#include using namespace std; #define rep(i,n) for (int i = 0; i < (n); ++i) using ll = long long; using pii = pair; template< int mod > struct ModInt { int x; ModInt() : x(0) {} ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {} ModInt &operator+=(const ModInt &p) { if((x += p.x) >= mod) x -= mod; return *this; } ModInt &operator-=(const ModInt &p) { if((x += mod - p.x) >= mod) x -= mod; return *this; } ModInt &operator*=(const ModInt &p) { x = (int) (1LL * x * p.x % mod); return *this; } ModInt &operator/=(const ModInt &p) { *this *= p.inverse(); return *this; } ModInt operator-() const { return ModInt(-x); } ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; } ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; } ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; } ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; } bool operator==(const ModInt &p) const { return x == p.x; } bool operator!=(const ModInt &p) const { return x != p.x; } ModInt inverse() const { int a = x, b = mod, u = 1, v = 0, t; while(b > 0) { t = a / b; swap(a -= t * b, b); swap(u -= t * v, v); } return ModInt(u); } ModInt pow(int64_t n) const { ModInt ret(1), mul(x); while(n > 0) { if(n & 1) ret *= mul; mul *= mul; n >>= 1; } return ret; } friend ostream &operator<<(ostream &os, const ModInt &p) { return os << p.x; } friend istream &operator>>(istream &is, ModInt &a) { int64_t t; is >> t; a = ModInt< mod >(t); return (is); } static int get_mod() { return mod; } }; constexpr int MOD = 1e9 + 7; using mint = ModInt< MOD >; int main(){ int N, S, K; cin >> N >> S >> K; /* a0 + (a0+K + a1) + (a0+K+a1+K + a2) + ... = (N-1)N/2 * K + Na0 + (N-1)a1 + .. //*/ S -= (N-1)*N/2 * K; if(S < 0){ cout << 0 << endl; return 0; } vector dp(S+1, mint(1)); /* dp_i+1,j = dp_i,j + dp_i,j-(n-i+1) + dp_i,j-2(n-i+1) + ... = dp_i,j + dp_i+1,j-(n-i) //*/ rep(i,N-1){ for(int j = N-i; j <= S; j++){ dp[j] += dp[j-(N-i)]; } } cout << dp[S] << endl; }