//line 1 "answer.cpp" #if !__INCLUDE_LEVEL__ #include __FILE__ int main() { ll q; input(q); ll xa,ya,xb,yb,xc,yc; input(xa,ya,xb,yb,xc,yc); Frac a(1,1),b(1,1),r(1,1),k(1,1); if (xa == xb) { b = Frac(0, 1); r = Frac(xa, 1); } else { a = Frac(yb-ya, xb-xa); r = Frac(-ya, 1) - a * Frac(xa, 1); } if (a * Frac(xc, 1) + b * Frac(yc, 1) + r == Frac(0, 1)) { auto calc = [&](ll x, ll y) { Frac ans(pow(10, 9), 1); chmin(ans, Frac((x-xa) * (x-xb) + (y-ya) * (y-yb), 1)); chmin(ans, Frac((x-xa) * (x-xc) + (y-ya) * (y-yc), 1)); chmin(ans, Frac((x-xb) * (x-xc) + (y-yb) * (y-yc), 1)); return ans; }; rep(i, q) { ll x,y; input(x,y); debug(calc(x,y)); Yes(calc(x,y) <= Frac(0, 1)); } return 0; } k = Frac((xc-xa) * (xc-xb) + (yc-ya) * (yc-yb), -1); debug(k); k /= a * Frac(xc, 1) + b * Frac(yc, 1) + r; debug(a,b,r,k); auto calc = [&](ll x, ll y) -> Frac { Frac ans = Frac((x - xa) * (x - xb) + (y - ya) * (y - yb), 1); ans += k * (a * Frac(x, 1) + b * Frac(y, 1) + r); return ans; }; // print(calc(xa,ya)); // print(calc(xb,yb)); // print(calc(xc,yc)); rep(i, q) { ll x,y; input(x,y); // debug(calc(x,y)); Yes(calc(x,y) <= Frac(0, 1)); } } #else //line 2 "/home/seekworser/.cpp_lib/competitive_library/competitive/std/std.hpp" #include #ifndef LOCAL_TEST #pragma GCC target ("avx") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") #endif // LOCAL_TEST using namespace std; // 型名の短縮 using ll = long long; using pii = pair; using pll = pair; using vi = vector; using vvi = vector; using vvvi = vector; using vl = vector; using vvl = vector; using vvvl = vector; using vb = vector; using vvb = vector; using vvvb = vector; using vc = vector; using vvc = vector; using vvvc = vector; using vd = vector; using vvd = vector; using vvvd = vector; using vs = vector; using vvs = vector>; using vvvs = vector>>; template vector> vv(int h, int w, T val = T()) { return vector(h, vector(w, val)); } template vector>> vvv(int h1, int h2, int h3, T val = T()) { return vector(h1, vector(h2, vector(h3, val))); } template vector>>> vvvv(int h1, int h2, int h3, int h4, T val = T()) { return vector(h1, vector(h2, vector(h3, vector(h4, val)))); } template using priority_queue_min = priority_queue, greater>; // 定数の定義 constexpr double PI = 3.14159265358979323; constexpr int INF = 100100111; constexpr ll INFL = 3300300300300300491LL; float EPS = 1e-8; double EPSL = 1e-16; template bool eq(const T x, const T y) { return x == y; } template<> bool eq(const double x, const double y) { return abs(x - y) < EPSL; } template<> bool eq(const float x, const float y) { return abs(x - y) < EPS; } template bool neq(const T x, const T y) { return !(eq(x, y)); } template bool ge(const T x, const T y) { return (eq(x, y) || (x > y)); } template bool le(const T x, const T y) { return (eq(x, y) || (x < y)); } template bool gt(const T x, const T y) { return !(le(x, y)); } template bool lt(const T x, const T y) { return !(ge(x, y)); } constexpr int MODINT998244353 = 998244353; constexpr int MODINT1000000007 = 1000000007; // 入出力高速化 struct Nyan { Nyan() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(18); } } nyan; // 汎用マクロの定義 #define all(a) (a).begin(), (a).end() #define sz(x) ((ll)(x).size()) #define rep1(n) for(ll dummy_iter = 0LL; dummy_iter < n; ++dummy_iter) // 0 から n-1 まで昇順 #define rep2(i, n) for(ll i = 0LL, i##_counter = 0LL; i##_counter < ll(n); ++(i##_counter), (i) = i##_counter) // 0 から n-1 まで昇順 #define rep3(i, s, t) for(ll i = ll(s), i##_counter = ll(s); i##_counter < ll(t); ++(i##_counter), (i) = (i##_counter)) // s から t まで昇順 #define rep4(i, s, t, step) for(ll i##_counter = step > 0 ? ll(s) : -ll(s), i##_end = step > 0 ? ll(t) : -ll(t), i##_step = abs(step), i = ll(s); i##_counter < i##_end; i##_counter += i##_step, i = step > 0 ? i##_counter : -i##_counter) // s から t まで stepずつ #define overload4(a, b, c, d, e, ...) e #define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__) #define repe(a, v) for(auto& a : (v)) // v の全要素(変更可能) #define smod(n, m) ((((n) % (m)) + (m)) % (m)) // 非負mod #define sdiv(n, m) (((n) - smod(n, m)) / (m)) // 非負div #define uniq(a) {sort(all(a)); (a).erase(unique(all(a)), (a).end());} // 重複除去 int Yes(bool b=true) { cout << (b ? "Yes\n" : "No\n"); return 0; }; int YES(bool b=true) { cout << (b ? "YES\n" : "NO\n"); return 0; }; int No(bool b=true) {return Yes(!b);}; int NO(bool b=true) {return YES(!b);}; template T max(array& a) { return *max_element(all(a)); }; template T min(array& a) { return *min_element(all(a)); }; template T max(vector& a) { return *max_element(all(a)); }; template T min(vector& a) { return *min_element(all(a)); }; template vector accum(const vector& a) { vector rev(sz(a)+1, 0); rep(i, sz(a)) rev[i+1] = rev[i] + a[i]; return rev; }; template vector vec_slice(const vector& a, int l, int r) { vector rev; rep(i, l, r) rev.push_back(a[i]); return rev; }; template T sum(vector& a, T zero = T(0)) { T rev = zero; rep(i, sz(a)) rev += a[i]; return rev; }; template bool in_range(const T& val, const T& s, const T& t) { return s <= val && val < t; }; template inline vector& operator--(vector& v) { repe(x, v) --x; return v; } template inline vector& operator++(vector& v) { repe(x, v) ++x; return v; } // modでのpow ll powm(ll a, ll n, ll mod=INFL) { ll res = 1; while (n > 0) { if (n & 1) res = (res * a) % mod; if (n > 1) a = (a * a) % mod; n >>= 1; } return res; } // 整数Sqrt ll sqrtll(ll x) { assert(x >= 0); ll rev = sqrt(x); while(rev * rev > x) --rev; while((rev+1) * (rev+1)<=x) ++rev; return rev; } template inline bool chmax(T& M, const T& x) { if (M < x) { M = x; return true; } return false; } // 最大値を更新(更新されたら true を返す) template inline bool chmin(T& m, const T& x) { if (m > x) { m = x; return true; } return false; } // 最小値を更新(更新されたら true を返す) int digit(ll x, int d=10) { int rev=0; while (x > 0) { rev++; x /= d;}; return rev; } // xのd進数桁数 /** * @brief std.hpp * @docs docs/std/std.md */ //line 3 "/home/seekworser/.cpp_lib/competitive_library/competitive/math/fraction.hpp" struct Frac { __int128_t num; __int128_t den; Frac (__int128_t _num, __int128_t _den, bool reduce = true) : num(_num), den(_den) { if (reduce) (*this).reduce(); } Frac (ll _num) : Frac(_num, 1) {} static ll redcue_limit; Frac inv() const { return Frac((*this).den, (*this).num); } Frac &operator+=(const Frac &x) { (*this).num = (*this).num * x.den + x.num * (*this).den; (*this).den = (*this).den * x.den; if ((*this).den > redcue_limit || (*this).num > redcue_limit) (*this).reduce(); return (*this); } Frac &operator-=(const Frac &x) { (*this).num = (*this).num * x.den - x.num * (*this).den; (*this).den = (*this).den * x.den; if ((*this).den > redcue_limit || (*this).num > redcue_limit) (*this).reduce(); return (*this); } Frac &operator*=(const Frac &x) { (*this).num = (*this).num * x.num; (*this).den = (*this).den * x.den; if ((*this).den > redcue_limit || (*this).num > redcue_limit) (*this).reduce(); return (*this); } Frac &operator/=(const Frac &x) { (*this) *= x.inv(); if ((*this).den > redcue_limit || (*this).num > redcue_limit) (*this).reduce(); return (*this); } Frac operator+(const Frac &x) const { return (Frac(*this) += x); } Frac operator-(const Frac &x) const { return (Frac(*this) -= x); } Frac operator*(const Frac &x) const { return (Frac(*this) *= x); } Frac operator/(const Frac &x) const { return (Frac(*this) /= x); } Frac operator+() const { return *this; } Frac operator-() const { Frac x(-(*this).num, (*this).den); return x; } friend bool operator==(const Frac& lhs, const Frac& rhs) { return lhs.num * rhs.den == lhs.den * rhs.num; } friend bool operator!=(const Frac& lhs, const Frac& rhs) { return lhs.num * rhs.den != lhs.den * rhs.num; } friend bool operator>=(const Frac& lhs, const Frac& rhs) { return lhs.num * rhs.den >= lhs.den * rhs.num; } friend bool operator<=(const Frac& lhs, const Frac& rhs) { return lhs.num * rhs.den <= lhs.den * rhs.num; } friend bool operator>(const Frac& lhs, const Frac& rhs) { return lhs.num * rhs.den > lhs.den * rhs.num; } friend bool operator<(const Frac& lhs, const Frac& rhs) { return lhs.num * rhs.den < lhs.den * rhs.num; } double val() const {return (double)((*this).num) / (double)((*this).den); } friend ostream& operator<<(ostream& os, const Frac &x) { os << x.val(); return os; } void reduce() { assert((*this).den != 0 || (*this).num != 0); if ((*this).den == 0) { (*this).num = 1; return; } if ((*this).num == 0) { (*this).den = 1; return; } ll g = gcd((ll)(*this).num, (ll)(*this).den); (*this).num /= g; (*this).den /= g; if ((*this).den < 0) { (*this).num *= -1; (*this).den *= -1; } return; } }; ll Frac::redcue_limit = 1000000000; // Frac pow(const Frac &a, ll n) { // Frac res(1); Frac cur(a); // while (n > 0) { // if (n & 1) res *= cur; // cur *= cur; // n >>= 1; // } // return res; // } Frac abs(const Frac &f) { Frac rev(f); if (rev.den * rev.num < 0) return -rev; return rev; } /** * @brief fraction.hpp * @docs docs/math/fraction.md */ //line 3 "/home/seekworser/.cpp_lib/competitive_library/competitive/std/io.hpp" // 演算子オーバーロード(プロトタイプ宣言) template inline istream& operator>>(istream& is, pair& p); template inline istream& operator>>(istream& is, vector& v); template inline ostream& operator<<(ostream& os, const pair& p); template inline ostream& operator<<(ostream& os, const vector& v); template ostream &operator<<(ostream &os, const map &mp); template ostream &operator<<(ostream &os, const set &st); template ostream &operator<<(ostream &os, const multiset &st); template ostream &operator<<(ostream &os, const unordered_set &st); template ostream &operator<<(ostream &os, queue q); template ostream &operator<<(ostream &os, deque q); template ostream &operator<<(ostream &os, stack st); template ostream &operator<<(ostream &os, priority_queue pq); // 演算子オーバーロード template inline istream& operator>>(istream& is, pair& p) { is >> p.first >> p.second; return is; } template inline istream& operator>>(istream& is, vector& v) { repe(x, v) is >> x; return is; } template inline ostream& operator<<(ostream& os, const pair& p) { os << p.first << " " << p.second; return os; } template inline ostream& operator<<(ostream& os, const vector& v) { rep(i, sz(v)) { os << v.at(i); if (i != sz(v) - 1) os << " "; } return os; } template ostream &operator<<(ostream &os, const map &mp) { for (auto &[key, val] : mp) { os << key << ":" << val << " "; } return os; } template ostream &operator<<(ostream &os, const set &st) { auto itr = st.begin(); for (int i = 0; i < (int)st.size(); i++) { os << *itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; } template ostream &operator<<(ostream &os, const multiset &st) { auto itr = st.begin(); for (int i = 0; i < (int)st.size(); i++) { os << *itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; } template ostream &operator<<(ostream &os, const unordered_set &st) { ll cnt = 0; for (auto &e : st) { os << e << (++cnt != (int)st.size() ? " " : ""); } return os; } template ostream &operator<<(ostream &os, queue q) { while (q.size()) { os << q.front() << " "; q.pop(); } return os; } template ostream &operator<<(ostream &os, deque q) { while (q.size()) { os << q.front() << " "; q.pop_front(); } return os; } template ostream &operator<<(ostream &os, stack st) { while (st.size()) { os << st.top() << " "; st.pop(); } return os; } template ostream &operator<<(ostream &os, priority_queue pq) { while (pq.size()) { os << pq.top() << " "; pq.pop(); } return os; } template int print_sep_end(string sep, string end, const T& val) { (void)sep; cout << val << end; return 0; }; template int print_sep_end(string sep, string end, const T1 &val, const T2 &...remain) { cout << val << sep; print_sep_end(sep, end, remain...); return 0; }; template int print(const T &...args) { print_sep_end(" ", "\n", args...); return 0; }; template void flush() { cout << flush; }; template int print_and_flush(const T &...args) { print(args...); flush(); return 0; }; #define debug(...) debug_func(0, #__VA_ARGS__, __VA_ARGS__) // debug print template void input(T &a) { cin >> a; }; template void input(T1&a, T2 &...b) { cin >> a; input(b...); }; #ifdef LOCAL_TEST template void debug_func(int i, const T name) { (void)i; (void)name; cerr << endl; } template void debug_func(int i, const T1 &name, const T2 &a, const T3 &...b) { int scope = 0; for ( ; (scope != 0 || name[i] != ',') && name[i] != '\0'; i++ ) { cerr << name[i]; if (name[i] == '(' || name[i] == '{') scope++; if (name[i] == ')' || name[i] == '}') scope--; } cerr << ":" << a << " "; debug_func(i + 1, name, b...); } template void debug_func(int i, const T1 &name, T2 &a, T3 &...b) { int scope = 0; for ( ; (scope != 0 || name[i] != ',') && name[i] != '\0'; i++ ) { cerr << name[i]; if (name[i] == '(' || name[i] == '{') scope++; if (name[i] == ')' || name[i] == '}') scope--; } cerr << ":" << a << " "; debug_func(i + 1, name, b...); } #endif #ifndef LOCAL_TEST template void debug_func(T &...) {} template void debug_func(const T &...) {} #endif /** * @brief io.hpp * @docs docs/std/io.md */ //line 51 "answer.cpp" #endif