#include using namespace std; #define fst(t) std::get<0>(t) #define snd(t) std::get<1>(t) #define thd(t) std::get<2>(t) #define unless(p) if(!(p)) #define until(p) while(!(p)) using ll = long long; using P = std::tuple; using P3 = std::tuple; const int dx[8] = {-1, 1, 0, 0, -1, -1, 1, 1}, dy[8] = {0, 0, -1, 1, -1, 1, -1, 1}; P3 ps[4]; double dot(P3 p, P3 q){ double x1, y1, z1, x2, y2, z2; tie(x1, y1, z1) = p; tie(x2, y2, z2) = q; return x1 * x2 + y1 * y2 + z1 * z2; } P3 cross(P3 p, P3 q){ double x1, y1, z1, x2, y2, z2; tie(x1, y1, z1) = p; tie(x2, y2, z2) = q; return std::make_tuple(y1 * z2 - y2 * z1, -(x1 * z2 - x2 * z1), x1 * y2 - x2 * y1); } double sq_dist(P3 p){ double x, y, z; tie(x, y, z) = p; return x * x + y * y + z * z; } P3 operator-(const P3 &p, const P3 &q){ double x1, y1, z1, x2, y2, z2; tie(x1, y1, z1) = p; tie(x2, y2, z2) = q; return std::make_tuple(x1 - x2, y1 - y2, z1 - z2); } P3 operator*(const double k, const P3 &p){ double x, y, z; tie(x, y, z) = p; return std::make_tuple(k * x, k * y, k * z); } double det(double a11, double a21, double a12, double a22){ return a11 * a22 - a21 * a12; } int main(){ std::cin.tie(nullptr); std::ios::sync_with_stdio(false); for(int i=0;i<4;++i){ int x, y, z; std::cin >> x >> y >> z; ps[i] = std::make_tuple(x, y, z); } for(int i=1;i<4;++i){ ps[i] = ps[i] - ps[0]; } P3 cr = cross(ps[1], ps[2]); double v[3][2], _x[3]; tie(v[0][0], v[1][0], v[2][0]) = ps[1]; tie(v[0][1], v[1][1], v[2][1]) = ps[2]; tie(_x[0], _x[1], _x[2]) = ps[3] - (dot(ps[3], cr) / sq_dist(cr)) * cr; double s, t; if(det(v[0][0], v[1][0], v[0][1], v[1][1]) == 0){ s = det(_x[0], _x[2], v[0][1], v[2][1]) / det(v[0][0], v[2][0], v[0][1], v[2][1]); t = det(v[0][0], v[2][0], _x[0], _x[2]) / det(v[0][0], v[2][0], v[0][1], v[2][1]); }else{ s = det(_x[0], _x[1], v[0][1], v[1][1]) / det(v[0][0], v[1][0], v[0][1], v[1][1]); t = det(v[0][0], v[1][0], _x[0], _x[1]) / det(v[0][0], v[1][0], v[0][1], v[1][1]); } const string YESNO[2] = {"NO", "YES"}; bool isIn = s >= 0 && t >= 0 && s + t <= 1; std::cout << YESNO[isIn] << std::endl; }