#include #define rep(i,n) for(int i = 0; i < (n); i++) using namespace std; typedef long long ll; const ll mod = 1000000007; vector> matmul(vector> A, vector> B){ int N = A.size(); vector> ans(N, vector(N, 0)); for (int i = 0; i < N; i++){ for (int j = 0; j < N; j++){ for (int k = 0; k < N; k++){ ans[i][k] += A[i][j] * B[j][k]; ans[i][k] %= mod; } } } return ans; } vector> matpow(vector> A, long long b){ int N = A.size(); vector> ans(N, vector(N, 0)); for (int i = 0; i < N; i++){ ans[i][i] = 1; } while (b > 0){ if (b % 2 == 1){ ans = matmul(ans, A); } A = matmul(A, A); b /= 2; } return ans; } int main(){ cin.tie(0); ios::sync_with_stdio(0); ll a,b; cin>>a>>b; ll n; cin>>n; vector> mat = { {a * 2 % mod, (b - a * a % mod + mod) % mod}, {1,0} }; mat = matpow(mat, n); ll ans = (mat[1][0] * a * 2 + mat[1][1] * 2) % mod; cout << ans << '\n'; return 0; }