#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define popcount __builtin_popcount using namespace std; typedef long long int ll; typedef pair P; const ll MOD=1e9+7; ll powmod(ll a, ll k){ ll ap=a, ans=1; while(k){ if(k&1){ ans*=ap; ans%=MOD; } ap=ap*ap; ap%=MOD; k>>=1; } return ans; } ll inv(ll a){ return powmod(a, MOD-2); } ll f[5000001], invf[5000001]; void fac(int n){ f[0]=1; for(ll i=1; i<=n; i++) f[i]=f[i-1]*i%MOD; invf[n]=inv(f[n]); for(ll i=n-1; i>=0; i--) invf[i]=invf[i+1]*(i+1)%MOD; } ll comb(int x, int y){ if(!(0<=y && y<=x)) return 0; return f[x]*invf[y]%MOD*invf[x-y]%MOD; } int main() { int n, d, k; cin>>n>>d>>k; k-=n; fac(200020); ll ans=0; for(int i=0; i*d<=k; i++){ ll s=comb(n, i)*comb(k-i*d+n-1, n-1)%MOD; if(i&1) (ans+=MOD-s); else ans+=s; ans%=MOD; } cout<