#include using namespace std; #define ms(s, n) memset(s, n, sizeof(s)) #define FOR(i, a, b) for (int i = (a); i < (b); i++) #define FORd(i, a, b) for (int i = (a) - 1; i >= (b); i--) #define FORall(it, a) for (__typeof((a).begin()) it = (a).begin(); it != (a).end(); it++) #define sz(a) int((a).size()) #define present(t, x) (t.find(x) != t.end()) #define all(a) (a).begin(), (a).end() #define uni(a) (a).erase(unique(all(a)), (a).end()) #define pb push_back #define pf push_front #define mp make_pair #define fi first #define se second #define prec(n) fixed<> (i)) & 1) #define bitcount(n) __builtin_popcountll(n) typedef long long ll; typedef unsigned long long ull; typedef long double ld; typedef pair pi; typedef vector vi; typedef vector vii; const int MOD = (int) 1e9 + 7; const int MOD2 = 1007681537; const int INF = (int) 1e9; const ll LINF = (ll) 1e18; const ld PI = acos((ld) -1); const ld EPS = 1e-9; inline ll gcd(ll a, ll b) {ll r; while (b) {r = a % b; a = b; b = r;} return a;} inline ll lcm(ll a, ll b) {return a / gcd(a, b) * b;} inline ll fpow(ll n, ll k, int p = MOD) {ll r = 1; for (; k; k >>= 1) {if (k & 1) r = r * n % p; n = n * n % p;} return r;} template inline int chkmin(T& a, const T& val) {return val < a ? a = val, 1 : 0;} template inline int chkmax(T& a, const T& val) {return a < val ? a = val, 1 : 0;} inline ll isqrt(ll k) {ll r = sqrt(k) + 1; while (r * r > k) r--; return r;} inline ll icbrt(ll k) {ll r = cbrt(k) + 1; while (r * r * r > k) r--; return r;} inline void addmod(int& a, int val, int p = MOD) {if ((a = (a + val)) >= p) a -= p;} inline void submod(int& a, int val, int p = MOD) {if ((a = (a - val)) < 0) a += p;} inline int mult(int a, int b, int p = MOD) {return (ll) a * b % p;} inline int inv(int a, int p = MOD) {return fpow(a, p - 2, p);} inline int sign(ld x) {return x < -EPS ? -1 : x > +EPS;} inline int sign(ld x, ld y) {return sign(x - y);} #define db(x) cerr << #x << " = " << (x) << " "; #define endln cerr << "\n"; struct Matrix { static const int MAXN = 2; static const int MOD = (int) 1e9 + 7; int x[MAXN][MAXN]; Matrix() { memset(x, 0, sizeof(x)); } int* operator [] (int r) { return x[r]; } static Matrix unit() { Matrix res; for (int i = 0; i < MAXN; i++) res[i][i] = 1; return res; } friend Matrix operator + (Matrix A, Matrix B) { Matrix res; for (int i = 0; i < MAXN; i++) for (int j = 0; j < MAXN; j++) { res[i][j] = A[i][j] + B[i][j]; if (res[i][j] >= MOD) res[i][j] -= MOD; } return res; } friend Matrix operator * (Matrix A, Matrix B) { Matrix res; for (int i = 0; i < MAXN; i++) for (int k = 0; k < MAXN; k++) for (int j = 0; j < MAXN; j++) { res[i][j] = (res[i][j] + (long long) A[i][k] * B[k][j]) % MOD; } return res; } friend Matrix operator ^ (Matrix A, long long k) { if (k == 0) return unit(); Matrix res, tmp; for (int i = 0; i < MAXN; i++) for (int j = 0; j < MAXN; j++) { res[i][j] = tmp[i][j] = A[i][j]; } k--; while (k) { if (k & 1) res = res * tmp; tmp = tmp * tmp; k >>= 1; } return res; } }; void solve() { int test; cin >> test; assert(1 <= test && test <= 1e5); while (test--) { int l, d; long long t; cin >> l >> d >> t; assert(1 <= d && d < l && l <= 1e9); assert(1 <= t && t <= 1e18); int coef = mult(d, inv(l)); Matrix mat; mat[0][0] = mult(2, coef); mat[0][1] = MOD - 1; mat[1][0] = 1; mat = mat ^ (t - 1); int res = mult(mat[0][0], coef); addmod(res, mat[0][1]); res = mult(res, l); cout << res << "\n"; } } int main(int argc, char* argv[]) { if (argc >= 2) { freopen(argv[1], "r", stdin); } if (argc >= 3) { freopen(argv[2], "wb", stdout); } solve(); cerr << "\nTime elapsed: " << 1000 * clock() / CLOCKS_PER_SEC << "ms\n"; return 0; }