#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define ll long long #define ld long double #define EPS 0.0000000001 #define INF 1e9 #define MOD 1000000007 #define rep(i,n) for(int i=0;i<(n);i++) #define loop(i,a,n) for(int i=a;i<(n);i++) #define all(in) in.begin(),in.end() #define shosu(x) fixed< vi; typedef vector vs; typedef pair pii; int gcd(int a, int b){ if(b==0) return a; return gcd(b,a%b); } int lcm(int a, int b){ return a*b/gcd(a,b); } typedef vector vvi; void printMatrix(vvi a){ rep(i,a.size()){ rep(j,a[0].size())cout << a[i][j] << " " ; cout << endl; } } vvi product(vvi a, vvi b, int mod){//ret = a * b % mod vvi ret(a.size(), vi(b[0].size(),0)); rep(i,a.size())rep(j,b[0].size()){ rep(k,a[0].size()) (ret[i][j] += a[i][k]*b[k][j]) %= mod; } return ret; } vvi powMatrix(vvi a, int t, int mod){// A^t % mod int n = a.size(); vvi ret(n, vi(n,0)); rep(i,n)ret[i][i] = 1; // 単位行列 while(t > 0){ //繰り返し自乗法 if(t&1) ret = product(ret, a, mod); a = product(a,a, mod); t = t >> 1; } return ret; } signed main(void) { int i,j; int n,b,c; cin >> b >> c >> n; b %= MOD; c %= MOD; vvi a(2,vi(2)); a[0][0] = c; a[0][1] = b; a[1][0] = 0; a[1][1] = 1; vvi t(2,vi(1)); t[0][0] = b; t[1][0] = 1; vvi ans = powMatrix(a,n,MOD); //printMatrix(ans); ans = product(ans,t,MOD); //printMatrix(ans); cout << (MOD+ans[0][0]-b)%MOD << endl; }