#define _CRT_SECURE_NO_WARNINGS #include "bits/stdc++.h" #include //#include "util.k" using namespace std; //呪文 #define DUMPOUT cout #define dump(...) DUMPOUT<<" ";DUMPOUT<<#__VA_ARGS__<<" :["<<__LINE__<<":"<<__FUNCTION__<<"]"< pii; typedef pair pll; typedef pair pdd; typedef pair pss; template ostream& operator << (ostream& ostr, const pair<_KTy, _Ty>& m) { ostr << "{" << m.first << ", " << m.second << "}"; return ostr; } template ostream& operator << (ostream& ostr, const map<_KTy, _Ty>& m) { if (m.empty()) { ostr << "{ }"; return ostr; } ostr << "{" << *m.begin(); for (auto itr = ++m.begin(); itr != m.end(); itr++) { ostr << ", " << *itr; } ostr << "}"; return ostr; } template ostream& operator << (ostream& ostr, const vector<_Ty>& v) { if (v.empty()) { ostr << "{ }"; return ostr; } ostr << "{" << v.front(); for (auto itr = ++v.begin(); itr != v.end(); itr++) { ostr << ", " << *itr; } ostr << "}"; return ostr; } template ostream& operator << (ostream& ostr, const set<_Ty>& s) { if (s.empty()) { ostr << "{ }"; return ostr; } ostr << "{" << *(s.begin()); for (auto itr = ++s.begin(); itr != s.end(); itr++) { ostr << ", " << *itr; } ostr << "}"; return ostr; } template ostream& operator << (ostream& ostr, const stack<_Ty>& s) { if (s.empty()) { ostr << "{ }"; return ostr; } stack<_Ty> t(s); ostr << "{" << t.top(); t.pop(); while (!t.empty()) { ostr << ", " << t.top(); t.pop(); } ostr << "}"; return ostr; } template ostream& operator << (ostream& ostr, const list<_Ty>& l) { if (l.empty()) { ostr << "{ }"; return ostr; } ostr << "{" << l.front(); for (auto itr = ++l.begin(); itr != l.end(); ++itr) { ostr << ", " << *itr; } ostr << "}"; return ostr; } template istream& operator >> (istream& istr, pair<_KTy, _Ty>& m) { istr >> m.first >> m.second; return istr; } template istream& operator >> (istream& istr, vector<_Ty>& v) { for (size_t i = 0; i < v.size(); i++) istr >> v[i]; return istr; } namespace aux { // print tuple template struct tp { static void print(ostream& os, const Ty& v) { os << get(v) << ", "; tp::print(os, v); } }; template struct tp { static void print(ostream& os, const Ty& value) { os << get(value); } }; } template ostream& operator<<(ostream& os, const tuple& t) { os << "{"; aux::tp, 0, sizeof...(Tys)-1>::print(os, t); os << "}"; return os; } template inline void Fill(A(&array)[N], const T &val) { std::fill((T*)array, (T*)(array + N), val); } void dump_func() { DUMPOUT << endl; } template void dump_func(Head&& head, Tail&&... tail) { DUMPOUT << head; if (sizeof...(Tail) == 0) { DUMPOUT << " "; } else { DUMPOUT << ", "; } dump_func(std::move(tail)...); } #define PI 3.14159265358979323846 #define EPS 1e-11 #define FOR(i,a,b) for(int i=(a);i<(b);++i) #define REP(i,n) FOR(i,0,n) #define all(x) (x).begin(), (x).end() #define SZ(x) ((int)(x).size()) #define fake false namespace NVec3 { struct Vec3 { double v[3]; Vec3() { v[0] = v[1] = v[2] = 0; } Vec3(double x, double y, double z) { v[0] = x; v[1] = y; v[2] = z; } double& operator[] (size_t n) & { return v[n]; } const double& operator[] (size_t n) const& { return v[n]; } double operator[] (size_t n) const&& { return move(v[n]); } Vec3& operator+=(const Vec3& w) { v[0] += w[0]; v[1] += w[1]; v[2] += w[2]; return *this; } Vec3& operator-=(const Vec3& w) { v[0] -= w[0]; v[1] -= w[1]; v[2] -= w[2]; return *this; } double operator*=(const Vec3& w) { return v[0] * w[0] + v[1] * w[1] + v[2] * w[2]; } template Vec3& operator/=(const T& x) { v[0] /= x; v[1] /= x; v[2] /= x; return *this; } friend istream& operator >> (istream& is, Vec3& v) { is >> v[0] >> v[1] >> v[2]; return is; } friend ostream& operator << (ostream& os, Vec3& v) { os << "{" << v[0] << ", " << v[1] << ", " << v[2] << "}"; return os; } double length() { return sqrt(v[0] * v[0] + v[1] * v[1] + v[2] * v[2]); } }; Vec3 operator+(const Vec3& t1, const Vec3& t2) { return Vec3(t1) += t2; } Vec3 operator-(const Vec3& t1, const Vec3& t2) { return Vec3(t1) -= t2; } double operator*(const Vec3& t1, const Vec3& t2) { return Vec3(t1) *= t2; } template Vec3 operator/(const Vec3& t, const T& x) { return Vec3(t) /= x; } Vec3 cross_product(const Vec3& v1, const Vec3& v2) { return Vec3( v1[1] * v2[2] - v1[2] * v2[1], v1[2] * v2[0] - v1[0] * v2[2], v1[0] * v2[1] - v1[1] * v2[0] ); } } int main() { //clock_t start, end; //start = clock(); using namespace NVec3; Vec3 A, B, C, D; cin >> A >> B >> C >> D; Vec3 n = cross_product(B - A, C - A); Vec3 m1 = cross_product(n, B - A); Vec3 m2 = cross_product(n, C - B); Vec3 m3 = cross_product(n, A - C); if (m1 * (D - A) > 0 && m2 * (D - B) > 0 && m3 * (D - C) > 0) cout << "YES" << endl; else cout << "NO" << endl; //end = clock(); //printf("%d msec.\n", end - start); return 0; }