#include "bits/stdc++.h" #include #include #include "atcoder/all" #include #include using namespace boost::multiprecision; using namespace std; using namespace atcoder; using ll = long long; using ull = unsigned long long; using mint = modint998244353; using mint2 = modint1000000007; const double eps = 1e-9; #define REP(i, n) for (ll i = 0; i < ll(n); ++i) #define REPI(i, init, n) for (ll i = init; i < ll(n); ++i) #define REPD(i, init) for (ll i = init; i >=0; --i) #define REPDI(i, init, n) for (ll i = init; i >=n; --i) #define REPE(i, c) for (const auto& i : c) #define TCASE() ll _ttt; cin >> _ttt; while(_ttt--) using vl = vector; using vvl = vector; using vvvl = vector; #define VL(a, n) vector a; a.assign(n, 0); #define VLI(a, n) vector a; a.assign(n, 0); for(auto& x : a) cin >> x; #define VSI(a, n) vector a; a.assign(n, ""); for(auto& x : a) cin >> x; #define VVLI(a, n, m, init) vector> a(n); for(auto& x : a) x.assign(m, init); using vd = vector; using pl = pair; struct uv { ll u; ll v; ll c; }; #define VUVI(a, n) vector a; a.assign(n, {0, 0, 1}); for(auto& x : a) {cin >> x.u >> x.v; x.u--; x.v--;} #define VUVCI(a, n) vector a; a.assign(n, {0, 0, 0}); for(auto& x : a) {cin >> x.u >> x.v >> x.c; x.u--; x.v--;} vvl to_edge(const ll n, const vector& v) { vvl ret(n); for (auto& x : v) ret[x.u].push_back(x.v); return ret; } vvl to_edge_d(const ll n, const vector& v) { vvl ret(n); for (auto& x : v) { ret[x.u].push_back(x.v); ret[x.v].push_back(x.u); } return ret; } template using pql = priority_queue; template using pqg = priority_queue, greater>; using vm = vector; using vvm = vector; void yn(bool f) { std::cout << (f ? "Yes" : "No") << endl; }; template void ov(const T& v) { for (auto it = v.begin(); it != v.end(); it++) { if (it != v.begin()) cout << " "; cout << *it; } }; template<> void ov(const vm& v) { for (auto it = v.begin(); it != v.end(); it++) { if (it != v.begin()) cout << " "; cout << it->val(); } }; const ll llhuge = 1LL << 60; //十分でかいが多少足しても溢れない数値 auto gmax(const auto& a, const auto& b) { return a > b ? a : b; }; auto gmin(const auto& a, const auto& b) { return a < b ? a : b; }; bool chmin(auto& a, const auto& b) { const auto olda = a; a = gmin(a, b); return olda != a; } bool chmax(auto& a, const auto& b) { const auto olda = a; a = gmax(a, b); return olda != a; } template void mysort(T& v) { std::sort(begin(v), end(v)); }; template void mysort(T& v, U pr) { std::sort(begin(v), end(v), pr); }; template void myrev(T& v) { std::reverse(begin(v), end(v)); }; template [[nodiscard]] V myat(const T& mp, const K& key) { return mp.find(key) == mp.end() ? V() : mp.at(key); } long long ceil(const long long a, const long long b) { return (a + b - 1) / b; } struct xy { double x; double y; bool operator<(const xy& r) const { return x < r.x; } }; // 3点を通る円の中心と半径を求める // 3点が一直線上にある場合はnanを返す tuple circle_center(const xy& a, const xy& b, const xy& c) { double x1 = a.x, y1 = a.y; double x2 = b.x, y2 = b.y; double x3 = c.x, y3 = c.y; double x = ((y1 - y2) * (x3*x3 - x1*x1 + y3*y3 - y1*y1) - (y1 - y3) * (x2*x2 - x1*x1 + y2*y2 - y1*y1)) / (2 * (x1-x2)*(y1-y3) - 2 * (x1-x3) * (y1-y2)); double y = ((x1-x3)*(x2*x2 - x1*x1 + y2*y2 - y1*y1) - (x1-x2)*(x3*x3 - x1*x1 + y3*y3 - y1*y1)) / (2*(x1-x2)*(y1-y3) - 2*(x1-x3)*(y1-y2)); double r = sqrt((x1 - x) * (x1 - x) + (y1 - y) * (y1 - y)); return { x, y, r }; } xy center(const xy& a, const xy& b) { return { (a.x + b.x) / 2 , (a.y + b.y) / 2 }; } double len(const xy& a, const xy& b) { return std::sqrt((a.x - b.x) * (a.x - b.x) + (a.y - b.y) * (a.y - b.y)); } int main() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << std::fixed << std::setprecision(10); ll q; cin >> q; xy a, b, c; cin >> a.x >> a.y >> b.x >> b.y >> c.x >> c.y; vector> d = { {len(a, b), center(a, b)}, {len(b, c), center(b, c)}, {len(c, a), center(c, a)} }; mysort(d); double cx, cy, r = 0; if (d[0].first + d[1].first < d[2].first + 0.00001) { cx = d[2].second.x; cy = d[2].second.y; r = d[2].first / 2; } else { std::tie(cx, cy, r) = circle_center(a, b, c); } REP(i, q) { xy t; cin >> t.x >> t.y; if (len(t, xy{ cx, cy }) < r + 0.00001) { cout << "Yes" << endl; } else { cout << "No" << endl; } } }