#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace placeholders; using LL = long long; using ULL = unsigned long long; using VI = vector< int >; using VVI = vector< vector< int > >; using VS = vector< string >; using SS = stringstream; using PII = pair< int, int >; using VPII = vector< pair< int, int > >; template < typename T = int > using VT = vector< T >; template < typename T = int > using VVT = vector< vector< T > >; template < typename T = int > using LIM = numeric_limits< T >; template < typename T > inline istream& operator>>( istream &s, vector< T > &v ){ for ( T &t : v ) { s >> t; } return s; } template < typename T > inline ostream& operator<<( ostream &s, const vector< T > &v ){ for ( int i = 0; i < int( v.size() ); ++i ){ s << ( " " + !i ) << v[i]; } return s; } template < typename T > inline T fromString( const string &s ) { T res; istringstream iss( s ); iss >> res; return res; }; template < typename T > inline string toString( const T &a ) { ostringstream oss; oss << a; return oss.str(); }; #define REP2( i, n ) REP3( i, 0, n ) #define REP3( i, m, n ) for ( int i = ( int )( m ); i < ( int )( n ); ++i ) #define GET_REP( a, b, c, F, ... ) F #define REP( ... ) GET_REP( __VA_ARGS__, REP3, REP2 )( __VA_ARGS__ ) #define FOR( e, c ) for ( auto &e : c ) #define ALL( c ) ( c ).begin(), ( c ).end() #define AALL( a, t ) ( t* )a, ( t* )a + sizeof( a ) / sizeof( t ) #define DRANGE( c, p ) ( c ).begin(), ( c ).begin() + ( p ), ( c ).end() #define SZ( v ) ( (int)( v ).size() ) #define PB push_back #define EM emplace #define EB emplace_back #define BI back_inserter #define EXIST( c, e ) ( ( c ).find( e ) != ( c ).end() ) #define MP make_pair #define fst first #define snd second #define DUMP( x ) cerr << #x << " = " << ( x ) << endl #include using Point = complex< double >; constexpr double EPS = 1e-8; constexpr double PI = acos( -1 ); constexpr Point O( 0, 0 ); // 入力ストリームから実数二つをとって Point へ istream& operator>> ( istream &s, Point &a ) { double r, i; s >> r >> i; a = Point( r, i ); return s; } // 内積(ドット積) double dot( const Point &a, const Point &b ) { return a.real() * b.real() + a.imag() * b.imag(); } // 外積(クロス積) double cross( const Point &a, const Point &b ) { return a.real() * b.imag() - a.imag() * b.real(); } // CCW 関数 a -> b -> c と進むとき、反時計回りなら 1, 直進なら 0, 時計回りなら -1 // include : dot, cross // -1, 1 := 外積の符号 // 2 := c-a-b で一直線 // -2 := a-b-c で一直線 // 0 := a-c-b で一直線 int ccw( const Point &a, const Point &b, const Point &c ) { if ( cross( b - a, c - a ) < -EPS ) { return -1; } if ( EPS < cross( b - a, c - a ) ) { return 1; } if ( dot( b - a, c - a ) < -EPS ) { return 2; } if ( dot( b - a, b - a ) < dot( c - a, c - a ) ) { return -2; } return 0; } int main() { cin.tie( 0 ); ios::sync_with_stdio( false ); VT< Point > ps( 5 ); cin >> ps; VI ord( 5 ); iota( ALL( ord ), 0 ); do { int cnt = 0; REP( i, 5 ) { int tmp = 0; REP( j, 5 ) { tmp += ccw( ps[ ord[i] ], ps[ ord[ ( i + 1 ) % 5 ] ], ps[j] ) == 1; } cnt += tmp == 1; } if ( cnt == 5 ) { cout << "YES" << endl; return 0; } } while ( next_permutation( ALL( ord ) ) ); cout << "NO" << endl; return 0; }