// includes #include using namespace std; // macros #define pb emplace_back #define mk make_pair #define FOR(i, a, b) for(int i=(a);i<(b);++i) #define rep(i, n) FOR(i, 0, n) #define rrep(i, n) for(int i=((int)(n)-1);i>=0;i--) #define irep(itr, st) for(auto itr = (st).begin(); itr != (st).end(); ++itr) #define irrep(itr, st) for(auto itr = (st).rbegin(); itr != (st).rend(); ++itr) #define whole(x) (x).begin(),(x).end() #define sz(x) ((int)(x).size()) #define bit(n) (1LL<<(n)) #define F first #define S second // functions template void unique(T& c){c.erase(std::unique(c.begin(), c.end()), c.end());} template bool chmax(T &a, const T &b){if(a < b){a = b; return 1;} return 0;} template bool chmin(T &a, const T &b){if(a > b){a = b; return 1;} return 0;} template istream &operator>>(istream &is, vector &vec){for(auto &v: vec)is >> v; return is;} template ostream &operator<<(ostream &os, const vector& vec){for(int i = 0; i < vec.size(); i++){ os << vec[i]; if(i + 1 != vec.size())os << " ";} return os;} template ostream &operator<<(ostream &os, const set& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;} template ostream &operator<<(ostream &os, const unordered_set& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;} template ostream &operator<<(ostream &os, const multiset& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;} template ostream &operator<<(ostream &os, const unordered_multiset& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;} template ostream &operator<<(ostream &os, const pair &p){os << "(" << p.first << ", " << p.second << ")"; return os;} template ostream &operator<<(ostream &os, const map &mp){for(auto itr = mp.begin(); itr != mp.end(); ++itr){ os << "(" << itr->first << ", " << itr->second << ")"; auto titr = itr; if(++titr != mp.end())os << " "; } return os;} template ostream &operator<<(ostream &os, const unordered_map &mp){for(auto itr = mp.begin(); itr != mp.end(); ++itr){ os << "(" << itr->first << ", " << itr->second << ")"; auto titr = itr; if(++titr != mp.end())os << " "; } return os;} // types using ll = long long int; using P = pair; // constants const int inf = 1e9; const ll linf = 1LL << 50; const double EPS = 1e-10; const int mod = 1000000007; const int dx[4] = {-1, 0, 1, 0}; const int dy[4] = {0, -1, 0, 1}; // io struct fast_io{ fast_io(){ios_base::sync_with_stdio(false); cin.tie(nullptr); cout << fixed << setprecision(20);} } fast_io_; using pt = pair; template T extgcd(T a, T b, T &x, T &y){ T d = a; if(b != 0){ d = extgcd(b, a % b, y, x); y -= (a / b) * x; }else{ x = 1, y = 0; } return d; } template T gcd(T a, T b) { if(a > b)return gcd(b, a); if(a == 0)return b; return gcd(b % a, a); } template T modinv(T a, T m){ long long x = 0, y = 0; extgcd(a, m, x, y); x %= m; if(x < 0)x += m; return x; } template long long garner(vector b, vector m, T MOD){ m.emplace_back(MOD); vector coef(m.size(), 1); vector consts(m.size(), 0); for(int i = 0; i < b.size(); i++){ long long t = ((b[i] - consts[i]) % m[i]) * modinv(coef[i], m[i]) % m[i]; if(t < 0)t += m[i]; for(int j = i + 1; j < m.size(); j++){ consts[j] = (consts[j] + t * coef[j] % m[j]) % m[j]; coef[j] = coef[j] * m[i] % m[j]; } } return consts.back(); } void excerr(){ cerr << endl; } template void excerr(Head&& head, Tail&&... tail){ if(sizeof...(tail) != 0)cerr << head << " "; else cerr << head; excerr(forward(tail)...); } template pair crt(vector b, vector m){ T r = 0, M = 1; for(int i = 0; i < b.size(); i++){ T x, y; T d = extgcd(M, m[i], x, y); if((b[i] - r) % d != 0)return make_pair(0, -1); T tmp = (b[i] - r) / d * x % (m[i] / d); r += M * tmp; M *= m[i] / d; } r %= M; if(r < 0)r += M; return make_pair(r % M, M); } int main(int argc, char const* argv[]) { int q; cin >> q; rep(i_, q){ ll w, h, d, mx, my, hx, hy, vx, vy; cin >> w >> h >> d >> mx >> my >> hx >> hy >> vx >> vy; ll g = gcd(abs(vx), abs(vy)); vx /= g, vy /= g; d *= g; bool ok = false; ll tx[4] = {mx, mx, 2 * w - mx, 2 * w - mx}; ll ty[4] = {my, 2 * h - my, my, 2 * h - my}; // /* int nx = hx, ny = hy; rep(i, d){ (nx += vx) %= (2 * w); (ny += vy) %= (2 * h); if(nx < 0)nx += 2 * w; if(ny < 0)ny += 2 * h; rep(j, 4){ if(nx == tx[j] && ny == ty[j]){ excerr(i, j, tx[j], ty[j]); excerr(((i + 1) * vx + hx) % (2 * w), tx[j]); excerr(((i + 1) * vy + hy) % (2 * h), ty[j]); break; } } } */ // rep(i, 4){ ll A1 = vx, B1 = - 2 * w, C1 = tx[i] - hx; ll A2 = vy, B2 = - 2 * h, C2 = ty[i] - hy; ll g1 = gcd(abs(A1), abs(B1)); ll g2 = gcd(abs(A2), abs(B2)); /* excerr("A1:", A1, "B1:", B1, "C1:", C1); excerr("A2:", A2, "B2:", B2, "C2:", C2); */ if(C1 % g1 != 0 || C2 % g2 != 0)continue; ll at1 = A1, bt1 = B1, ct1 = C1; ll at2 = A2, bt2 = B2, ct2 = C2; A1 /= g1, B1 /= g1, C1 /= g1; A2 /= g2, B2 /= g2, C2 /= g2; ll t1, c1, t2, c2; extgcd(A1, B1, t1, c1); extgcd(A2, B2, t2, c2); if(t1 * A1 + c1 * B1 < 0)t1 *= -1, c1 *= -1; if(t2 * A2 + c2 * B2 < 0)t2 *= -1, c2 *= -1; if(C1 != 0)t1 *= C1, c1 *= C1; else t1 = 0; if(C2 != 0)t2 *= C2, c2 *= C2; else t2 = 0; /* excerr("t1:", t1, "c1:", c1, "g1:", g1); excerr("t2:", t2, "c2:", c2, "g2:", g2); excerr("t1:", t1, "B1:", B1); excerr("t2:", t2, "B2:", B2); */ if(B1 == 0){ if(B2 == 0){ if(t1 == t2)ok = true; }else{ if((t1 - t2) % B2 == 0)ok = true; } }else{ if(B2 == 0){ if((t1 - t2) % B1 == 0)ok = true; }else{ vector b = {t1, t2}; vector m = {B1, B2}; rep(j, 2){ m[j] = abs(m[j]); b[j] %= m[j]; if(b[j] < 0)b[j] += m[j]; } auto p = crt(b, m); if(!(p.second == -1) && p.first <= d){ /* cerr << b << endl; cerr << m << endl; cerr << p << " " << i << endl; */ ok = true; } } } } cout << (ok ? "Hit": "Miss") << endl; } return 0; }