#pragma GCC optimize ("O3") #pragma GCC target ("avx") #include "bits/stdc++.h" using namespace std; using ll = long long int; #define debug(v) {printf("L%d %s > ",__LINE__,#v);cout<<(v)< ",__LINE__,#v);for(auto e:(v)){cout< ",__LINE__,#m);for(int x=0;x<(w);x++){cout<<(m)[x]<<" ";}cout<\n",__LINE__,#m);for(int y=0;y<(h);y++){for(int x=0;x<(w);x++){cout<<(m)[y][x]<<" ";}cout<::type cnt=0;(cnt)<(l);++(cnt)) #define rrepeat(cnt,l) for(auto cnt=(l)-1;0<=(cnt);--(cnt)) #define iterate(cnt,b,e) for(auto cnt=(b);(cnt)!=(e);++(cnt)) #define diterate(cnt,b,e) for(auto cnt=(b);(cnt)!=(e);--(cnt)) const ll MD = 1000000007ll; const long double PI = 3.1415926535897932384626433832795L; template inline void assert_equal(T1 expected, T2 actual) { if (!(expected == actual)) { cerr << "assertion fault: expected=" << expected << " actual=" << actual << endl; abort(); } } template inline void assert_less(T1 actual, T2 threshold) { if (!(actual < threshold)) { cerr << "assertion fault: " << actual << " < (const)" << threshold << endl; abort(); } } template inline void assert_eqless(T1 actual, T2 threshold) { if (!(actual <= threshold)) { cerr << "assertion fault: " << actual << " <= (const)" << threshold << endl; abort(); } } template inline ostream& operator <<(ostream &o, const pair p) { o << '(' << p.first << ':' << p.second << ')'; return o; } template inline ostream& _ostream_vecprint(ostream &o, const Vec& p) { o << '['; for (auto& e : p) o << e << ','; o << ']'; return o; } template inline ostream& operator<<(ostream& o, const vector& v) { return _ostream_vecprint(o, v); } template inline ostream& operator<<(ostream& o, const array& v) { return _ostream_vecprint(o, v); } template inline T& maxset(T& to, const T& val) { return to = max(to, val); } template inline T& minset(T& to, const T& val) { return to = min(to, val); } void bye(string s, int code = 0) { cout << s << endl; exit(code); } mt19937_64 randdev(8901016); template inline T rand(T l, T h) { return uniform_int_distribution(l, h)(randdev); } template<> inline double rand(double l, double h) { return uniform_real_distribution(l, h)(randdev); } template<> inline float rand(float l, float h) { return uniform_real_distribution(l, h)(randdev); } #if defined(_WIN32) || defined(_WIN64) #define getchar_unlocked _getchar_nolock #define putchar_unlocked _putchar_nolock #elif defined(__GNUC__) #else #define getchar_unlocked getchar #define putchar_unlocked putchar #endif namespace { #define isvisiblechar(c) (0x21<=(c)&&(c)<=0x7E) class MaiScanner { public: template void input_integer(T& var) { var = 0; T sign = 1; int cc = getchar_unlocked(); for (; cc<'0' || '9'>(int& var) { input_integer(var); return *this; } inline MaiScanner& operator>>(long long& var) { input_integer(var); return *this; } inline MaiScanner& operator>>(string& var) { int cc = getchar_unlocked(); for (; !isvisiblechar(cc); cc = getchar_unlocked()); for (; isvisiblechar(cc); cc = getchar_unlocked()) var.push_back(cc); return *this; } template void in(IT begin, IT end) { for (auto it = begin; it != end; ++it) *this >> *it; } }; class MaiPrinter { public: template void output_integer(T var) { if (var == 0) { putchar_unlocked('0'); return; } if (var < 0) putchar_unlocked('-'), var = -var; char stack[32]; int stack_p = 0; while (var) stack[stack_p++] = '0' + (var % 10), var /= 10; while (stack_p) putchar_unlocked(stack[--stack_p]); } inline MaiPrinter& operator<<(char c) { putchar_unlocked(c); return *this; } inline MaiPrinter& operator<<(int var) { output_integer(var); return *this; } inline MaiPrinter& operator<<(long long var) { output_integer(var); return *this; } inline MaiPrinter& operator<<(char* str_p) { while (*str_p) putchar_unlocked(*(str_p++)); return *this; } inline MaiPrinter& operator<<(const string& str) { const char* p = str.c_str(); const char* l = p + str.size(); while (p < l) putchar_unlocked(*p++); return *this; } template void join(IT begin, IT end, char sep = '\n') { for (auto it = begin; it != end; ++it) *this << *it << sep; } }; } MaiScanner scanner; MaiPrinter printer; class llmod { private: ll val_; inline ll cut(ll v) const { return ((v%MOD) + MOD) % MOD; } public: static const ll MOD = MD; // <= llmod() : val_(0) {} llmod(ll num) :val_(cut(num)) {} llmod(const llmod& lm) : val_(lm.val_) {} inline operator ll() const { return val_; } inline ll operator *() const { return val_; } inline llmod& operator=(const llmod& lm) { val_ = lm.val_; return *this; } inline llmod& operator=(ll v) { val_ = cut(v); return *this; } inline llmod& operator+=(ll v) { val_ = cut(val_ + v); return *this; } inline llmod& operator+=(const llmod& l) { val_ = cut(val_ + l.val_); return *this; } inline llmod& operator-=(ll v) { val_ = cut(val_ - v); return *this; } inline llmod& operator-=(const llmod& l) { val_ = cut(val_ - l.val_); return *this; } inline llmod& operator*=(ll v) { val_ = cut(val_ * v); return *this; } inline llmod& operator*=(const llmod& l) { val_ = cut(val_ * l.val_); return *this; } inline llmod& operator++() { val_ = (val_ + 1) % MOD; return *this; } inline llmod operator++(int) { llmod t = *this; val_ = (val_ + 1) % MOD; return t; } }; inline ostream& operator<<(ostream& os, const llmod& l) { os << *l; return os; } inline llmod operator+(llmod t, const llmod& r) { return t += r; } inline llmod operator-(llmod t, const llmod& r) { return t -= r; } inline llmod operator*(llmod t, const llmod& r) { return t *= r; } // MEMO : 逆元...powm(n,MD-2) llmod pow(llmod x, ll p) { llmod y = 1; while (0 < p) { if (p % 2) y *= x; x *= x; p /= 2; } return y; } inline llmod& operator/=(llmod& l, const llmod& r) { return l *= pow(r, llmod::MOD - 2); } ll D; ll bB, cC; int main() { cin >> bB >> cC >> D; llmod B = bB; llmod C = cC; if (D == 1) { cout << (B*C%MD) << endl; return 0; } if (D == 2) { cout << ((B*C)*C + B * C) % MD << endl; return 0; } if (C == 1) { cout << (B*llmod(D)) % MD << endl; return 0; } llmod f = llmod(B)*pow(llmod(C), D + 1); f -= B * C; f /= (C - llmod(1)); cout << f << endl; return 0; }