#define _USE_MATH_DEFINES #include "bits/stdc++.h" using namespace std; #define FOR(i,j,k) for(int (i)=(j);(i)<(int)(k);++(i)) #define rep(i,j) FOR(i,0,j) #define each(x,y) for(auto &(x):(y)) #define mp make_pair #define MT make_tuple #define all(x) (x).begin(),(x).end() #define debug(x) cout<<#x<<": "<<(x)<; using vi = vector; using vll = vector; template class ModInt { public: ModInt() :value(0) {} ModInt(long long val) :value((int)(val<0 ? MOD + val % MOD : val % MOD)) { } ModInt& operator+=(ModInt that) { value = value + that.value; if (value >= MOD)value -= MOD; return *this; } ModInt& operator-=(ModInt that) { value -= that.value; if (value<0)value += MOD; return *this; } ModInt& operator*=(ModInt that) { value = (int)((long long)value * that.value % MOD); return *this; } ModInt &operator/=(ModInt that) { return *this *= that.inverse(); } ModInt operator+(ModInt that) const { return ModInt(*this) += that; } ModInt operator-(ModInt that) const { return ModInt(*this) -= that; } ModInt operator*(ModInt that) const { return ModInt(*this) *= that; } ModInt operator/(ModInt that) const { return ModInt(*this) /= that; } ModInt pow(long long k) const { ModInt n = *this, res = 1; while (k) { if (k & 1)res *= n; n *= n; k >>= 1; } return res; } ModInt inverse() const { long long a = value, b = MOD, u = 1, v = 0; while (b) { long long t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } return ModInt(u); } int toi() const { return value; } private: int value; }; typedef ModInt<1000000007> mint; ostream& operator<<(ostream& os, const mint& x) { os << x.toi(); return os; } template void powMatrix2(Val &a, Val &b, Val &c, Val &d, long long n) { Val e = 1, f = 0, g = 0, h = 1, aa, bb, cc, dd, ee, ff, gg, hh; while (n) { aa = a * a + b * c; bb = b * (a + d); cc = c * (a + d); dd = b * c + d * d; if (n & 1) { ee = a * e + b * g; ff = a * f + b * h; gg = c * e + d * g; hh = c * f + d * h; e = ee; f = ff; g = gg; h = hh; } a = aa; b = bb; c = cc; d = dd; n >>= 1; } a = e; b = f; c = g; d = h; } void solve() { mint a, b, c = 1, d = 0; int n; { int a_, b_; cin >> a_ >> b_ >> n; a = a_; b = b_; } if (n == 0) { cout << 0 << endl; return; } powMatrix2(a, b, c, d, n - 1); cout << a << endl; } int main() { ios::sync_with_stdio(false); cin.tie(0); cout << fixed << setprecision(15); solve(); return 0; }