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#include <iostream> struct Vec { double x; double y; double operator*(Vec& vec) { return (x * vec.y - y * vec.x); } }; int sgn(double x); int main() { double x1, y1, x2, y2, x3, y3, x4, y4; char ch; while (std::cin >> x1 >> ch >> y1 >> ch >> x2 >> ch >> y2 >> ch >> x3 >> ch >> y3 >> ch >> x4 >> ch >> y4) { Vec vec12{x2 - x1, y2 - y1}; Vec vec23{x3 - x2, y3 - y2}; Vec vec34{x4 - x3, y4 - y3}; Vec vec41{x1 - x4, y1 - y4}; double cross01 = vec12 * vec23; double cross02 = vec23 * vec34; double cross03 = vec34 * vec41; double cross04 = vec41 * vec12; int judge = sgn(cross01) + sgn(cross02) + sgn(cross03) + sgn(cross04); if (judge == 1 + 1 + 1 + 1 || judge == -1 - 1 - 1 - 1) { std::cout << "YES" << std::endl; } else { std::cout << "NO" << std::endl; } } return 0; } int sgn(double x) { return ((x >= 0)? 1: (-1)); }
#include <iostream> #include <complex> #include <cstdio> using namespace std; int main(){ float xa, ya, xb, yb, xc, yc, xd, yd; while(scanf("%f,%f,%f,%f,%f,%f,%f,%f", &xa, &ya, &xb, &yb, &xc, &yc, &xd, &yd) != EOF){ float x[4] = {xa,xb,xc,xd}; float y[4] = {ya,yb,yc,yd}; float s[4]; bool allp = true, alln = true; for(int i = 0; i < 4; ++i){ s[i] = (x[(i+1)%4] - x[i]) * (y[(i+2)%4] - y[(i+1)%4]) - (x[(i+2)%4] - x[(i+1)%4]) * (y[(i+1)%4] - y[i]); } for(int i = 0; i < 4; ++i){ if(s[i] < 0){ allp = false; break; } } for(int i = 0; i < 4; ++i){ if(s[i] > 0){ alln = false; break; } } if(allp || alln){ cout << "YES" << endl; }else{ cout << "NO" << endl; } } return 0; }
#include <iostream> using namespace std; // A[x,y]、B[x,y]を通る直線とC[x,y]、D[x,y]を結ぶ線分の交差判定を返す。 // 「((ax - bx)*(cy - ay)+(ay - by)*(ax - cx))*((ax - bx)*(dy - ay)+(ay - by)*(ax - dx))」 bool cross(double* a, double* b, double* c, double* d) { return ((a[0]-b[0])*(c[1]-a[1])+(a[1]-b[1])*(a[0]-c[0]))*((a[0]-b[0])*(d[1]-a[1])+(a[1]-b[1])*(a[0]-d[0])) > 0.0; } int main() { // 四角形ABCDの対角線ACとBDの線分が交差するか否かで判定可能である。 // 線分同士を直接比較するのは難しいため、片方を直線とみなした上で、 // 「直線と線分の交差判定」をする事で可能となる。 double pos[4][2]; while(~scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf", &pos[0][0], &pos[0][1], &pos[1][0], &pos[1][1], &pos[2][0], &pos[2][1], &pos[3][0], &pos[3][1])) { cout << (cross(pos[0],pos[1],pos[2],pos[3]) && cross(pos[2],pos[3],pos[0],pos[1]) ? "YES" : "NO") << endl; } return 0; }
#include <stdio.h> int main(void) { auto deg = [](double ax, double ay, double bx, double by, double cx, double cy) -> double { double abx = bx - ax; double aby = by - ay; double acx = cx - ax; double acy = cy - ay; return (abx * acy -acx * aby); }; char line[80]; double xa, ya, xb, yb, xc, yc, xd, yd; while (true) { if (fgets(line, sizeof line, stdin) == NULL) { break; } if (sscanf(line, "%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf,", &xa, &ya, &xb, &yb, &xc, &yc, &xd, &yd) != 8) { break; } double d0 = deg(xa, ya, xb, yb, xd, yd); double d1 = deg(xb, yb, xc, yc, xa, ya); double d2 = deg(xc, yc, xd, yd, xb, yb); double d3 = deg(xd, yd, xa, ya, xc, yc); if ((d0 < 0 && d1 < 0 && d2 < 0 && d3 < 0) || (d0 > 0 && d1 > 0 && d2 > 0 && d3 > 0)) { printf("YES\n"); } else { printf("NO\n"); } } return 0; }
#include <iostream> using namespace std; int main() { double x[4], y[4]; char dummy; while ( cin >> x[0] >> dummy >> y[0] >> dummy >> x[1] >> dummy >> y[1] >> dummy >> x[2] >> dummy >> y[2] >> dummy >> x[3] >> dummy >> y[3] ) { bool isClockwise; if ( x[0] != x[1] ) { isClockwise = ((y[2] - y[0]) * (x[1] - x[0]) < (y[1] - y[0]) * (x[2] - x[0])); } //else if ( x[0] > x[1] ) { // isClockwise = ((y[2] - y[0]) * (x[1] - x[0]) > (y[1] - y[0]) * (x[2] - x[0])); //} else { isClockwise = ((x[2] > x[1]) == (y[1] > y[0])); } //cout << "isClockwise = " << isClockwise << endl; bool isConvex = true; for (int i=1; i<4; i++) { if ( x[i] != x[(i+1)%4] ) { if ( ((y[(i+2)%4] - y[i]) * (x[(i+1)%4] - x[i]) < (y[(i+1)%4] - y[i]) * (x[(i+2)%4] - x[i])) != isClockwise ) { isConvex = false; break; } } //else if ( x[i] > x[(i+1)%4] ) { // if ( ((y[(i+2)%4] - y[i]) * (x[(i+1)%4] - x[i]) > (y[(i+1)%4] - y[i]) * (x[(i+2)%4] - x[i])) != isClockwise ) { isConvex = false; break; } //} else { if ( ( (x[(i+2)%4] > x[(i+1)%4]) == (y[(i+1)%4] > y[i]) ) != isClockwise ) { isConvex = false; break; } } //cout << i << endl; } if (isConvex) cout << "YES" << endl; else cout << "NO" << endl; } return 0; }
#include <iostream> #include <complex> #include <cstdio> using namespace std; #define EPS 1e-7 typedef complex<double> P; #define X real() #define Y imag() double cross(P a,P b){ return (a.X*b.Y)-(a.Y*b.X); } int isIntersected(P a1,P a2,P b1,P b2) { return cross(a2-a1,b1-a1) * cross(a2-a1,b2-a1) < EPS && cross(b2-b1,a1-b1) * cross(b2-b1,a2-b1) < EPS; } int main() { double a,b,c,d,e,f,g,h; while(~scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf",&a,&b,&c,&d,&e,&f,&g,&h)) { P aa(a,b), bb(c,d), cc(e,f), dd(g,h); cout<<( isIntersected(aa,cc,bb,dd)>0.0 || isIntersected(bb,dd,aa,cc)>0.0 ? "YES" : "NO" )<<endl; } return 0; }
#include <cstdio> #include <iostream> using namespace std; double line(double x,double x1,double y1,double x2,double y2){ return (y1-y2)/(x1-x2)*(x-x1)+y1; } int main(){ double x1,x2,y1,y2,x3,y3,x4,y4; while(scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf",&x1,&y1,&x2,&y2,&x3,&y3,&x4,&y4)!=EOF){ if((line(x2,x1,y1,x3,y3)-y2)*(line(x4,x1,y1,x3,y3)-y4)>0 || (line(x1,x2,y2,x4,y4)-y1)*(line(x3,x2,y2,x4,y4)-y3)>0){ cout<<"NO"<<endl; }else{ cout<<"YES"<<endl; } } return 0; }
#include <iostream> using namespace std; int main() { while(true){ double xa, ya, xb, yb, xc, yc, xd, yd; if(!(cin>>xa)) break; cin.ignore(); cin>>ya; cin.ignore(); cin>>xb; cin.ignore(); cin>>yb; cin.ignore(); cin>>xc; cin.ignore(); cin>>yc; cin.ignore(); cin>>xd; cin.ignore(); cin>>yd; double pc = (xb-xd)*(yc-yd)-(yb-yd)*(xc-xd); double qc = (xa-xd)*(yc-yd)-(ya-yd)*(xc-xd); double m = (xa-xc)*(yb-yd)-(ya-yc)*(xb-xd); double p=pc/m, q=qc/m; if(0<=p&&p<=1 && 0<=q&&q<=1) cout<<"YES\n"; else cout<<"NO\n"; } return 0; }
#include <iostream> #include <complex> #include <algorithm> #include <map> #include <vector> #include <string> #include <cstdio> #include <cmath> using namespace std; typedef complex<double> P; #define X real() #define Y imag() double check(P p1, P p2, P p3, P p4) { return ((p1.X-p2.X)*(p3.Y-p1.Y) + (p1.Y-p2.Y)*(p1.X-p3.X)) * ((p1.X-p2.X)*(p4.Y-p1.Y) + (p1.Y-p2.Y)*(p1.X-p4.X)); } int main(void) { double x[4],y[4]; while(~scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf",x,y,x+1,y+1,x+2,y+2,x+3,y+3)) { P a(x[0], y[0]); P b(x[1], y[1]); P c(x[2], y[2]); P d(x[3], y[3]); if(check(a,c,b,d) > 0.0 || check(b,d,a,c) > 0.0) puts("NO"); else puts("YES"); } return 0; }
#include <iostream> #include <vector> #include <cstdlib> #include <cmath> #include <algorithm> #include <sstream> using namespace std; #define rep(i,n) for(int i=0;i<n;i++) #define bitcount(b) __builtin_popcount(b) #define all(n) n.begin(),n.end() typedef pair<double,double> P; #define x first #define y second double tri(P a,P b, P c){ a.x -= c.x, a.y -= c.y; b.x -= c.x, b.y -= c.y; c.x -= c.x, c.y -= c.y; return fabs( b.x * a.y - a.x * b.y ) / 2.0; } int main(){ vector<P> d(4); string line; while( getline(cin,line) ){ while(~line.find(","))line[line.find(",")] = ' '; stringstream ss(line); rep(i,4)ss >> d[i].x >> d[i].y; double S = tri(d[0],d[2],d[1]) + tri(d[0],d[2],d[3]); bool flag = true; rep(i,4){ double s = tri(d[0],d[2],d[1]) + tri(d[0],d[2],d[3]); if( s != S)flag = false; rotate(d.begin(),d.begin()+1,d.end()); } cout << (flag?"YES":"NO") << endl; } }
#include<iostream> #include<cstdlib> #include<complex> using namespace std; typedef complex<double> Po; double cross(Po a,Po b) { return a.real()*b.imag() - a.imag()*b.real(); } double area(Po a,Po b, Po c) { return abs(cross(b-a,c-a))/2; } bool inter(Po a, Po b,Po c,Po x) { return (fabs(area(a,b,x)+area(b,c,x)+area(c,a,x)-area(a,b,c))<1e-10); } int main() { Po p[4]; double a, b; char c, d; while(cin >> a >> c >> b){ p[0] = Po(a, b); for(int i=1; i<4; i++) { cin >> c >> a >> d >> b; p[i] = Po(a, b); } if(inter(p[0],p[1],p[2],p[3]) || inter(p[0],p[2],p[3],p[1]) || inter(p[0],p[1],p[3],p[2]) || inter(p[1],p[2],p[3],p[0])) cout << "NO\n"; else cout << "YES\n"; } }
#include <iostream> #include <vector> #include <algorithm> #include <string> #include <sstream> #define INPUT_FROM_FILE (0) #if INPUT_FROM_FILE #include <fstream> #endif int main(int argc, char **argv){ double xa, ya, xb, yb, xc, yc, xd, yd; #if INPUT_FROM_FILE //std::ifstream ifs("test.txt"); FILE *fp = fopen("test.txt", "r"); #endif #if INPUT_FROM_FILE while(fscanf(fp, "%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf", &xa, &ya, &xb, &yb, &xc, &yc, &xd, &yd) != EOF){ #else while(scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf", &xa, &ya, &xb, &yb, &xc, &yc, &xd, &yd) != EOF){ #endif double calc0 = (xb - xa) * (yc - yb) - (xc - xb) * (yb - ya); double calc1 = (xc - xb) * (yd - yc) - (xd - xc) * (yc - yb); double calc2 = (xd - xc) * (ya - yd) - (xa - xd) * (yd - yc); double calc3 = (xa - xd) * (yb - ya) - (xb - xa) * (ya - yd); if((calc0 > 0 && calc1 > 0 && calc2 > 0 && calc3 > 0) || (calc0 < 0 && calc1 < 0 && calc2 < 0 && calc3 < 0)){ std::cout << "YES" << std::endl; } else{ std::cout << "NO" << std::endl; } } return 0; }
#include <iostream> #include <complex> using namespace std; typedef complex<double> P; double cross(P a, P b){ return a.real() * b.imag() - a.imag() * b.real(); } double dot(P a, P b){ return a.real() * b.real() + a.imag() * b.imag(); } int ccw(P a, P b, P c){ b -= a; c -= a; if(cross(b, c) > 0) return 1; if(cross(b, c) < 0) return -1; if(dot(b, c) < 0) return 2; if(norm(b) < norm(c)) return -2; return 0; } int main() { char j; double a,b,c,d,e,f,g,h; for(;cin>>a>>j>>b>>j>>c>>j>>d>>j>>e>>j>>f>>j>>g>>j>>h;) { P x(a,b),y(c,d),z(e,f),p(g,h); if(ccw(x,y,z)==ccw(y,z,p) && ccw(y,z,p) == ccw(z,p,x) && ccw(z,p,x) == ccw(p,x,y)) cout<<"YES"<<endl; else cout<<"NO"<<endl; } }
#include <stdio.h> #include <complex> using namespace std; #define rep(i, n) for (int i = 0; i < (int)(n); i++) typedef complex<double> P; double cross(const P& a, const P& b) { return imag(conj(a)*b); } P ps[4]; bool is() { const double sig = cross(ps[1]-ps[0], ps[2]-ps[0]); rep (i, 4) { const int j = (i+1)%4; const int k = (i+2)%4; if (cross(ps[j]-ps[i], ps[k]-ps[i])*sig < 0) return false; } return true; } int main() { double x[4], y[4]; while (scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf", x, y, x+1, y+1, x+2, y+2, x+3, y+3) != EOF) { rep (i, 4) ps[i] = P(x[i], y[i]); puts(is() ? "YES" : "NO"); } return 0; }
#include <cstdio> typedef struct { double x, y; } Point; bool intersect(const Point& p1, const Point& p2, const Point& p3, const Point& p4) { if (((p1.x-p2.x)*(p3.y-p1.y)+(p1.y-p2.y)*(p1.x-p3.x)) * ((p1.x-p2.x)*(p4.y-p1.y)+(p1.y-p2.y)*(p1.x-p4.x)) < 0) return true; return false; } int main() { Point a, b, c, d; while (scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf", &a.x, &a.y, &b.x, &b.y, &c.x, &c.y, &d.x, &d.y) != EOF) { if(intersect(a, c, b, d) && intersect(b, d, a, c)) printf("YES\n"); else printf("NO\n"); } return 0; }
#define _USE_MATH_DEFINES #include <iostream> #include <cstdio> #include <algorithm> #include <string> #include <vector> #include <cmath> using namespace std; int main(){ double x[4]; double y[4]; char c; while(cin >> x[0] >> c >> y[0]){ for(int i=1;i<4;i++){ cin >> c >> x[i] >> c >> y[i]; } bool flag1 = 0; bool flag2 = 0; for(int i=0;i<4;i++){ if((x[(i+2)%4]-x[i%4])*(y[(i+1)%4]-y[i%4])-(y[(i+2)%4]-y[i%4])*(x[(i+1)%4]-x[i%4])>0){ flag1=1; } else{ flag2=1; } } if(flag1 && flag2){ cout << "NO" << endl; } else if(flag1 || flag2){ cout << "YES" <<endl; } else{ cout << "NO" << endl; } } return 0; }
#include <iostream> #include <cstdio> using namespace std; int main(){ double x[4],y[4]; char c; while(cin>>x[0]>>c>>y[0]>>c>>x[1]>>c>>y[1]>>c>>x[2]>>c>>y[2]>>c>>x[3]>>c>>y[3]){ double a[4],b[4]; for(int i=0;i<4;i++){ a[i] = x[(i+1)%4]-x[i]; b[i] = y[(i+1)%4]-y[i]; } double c[4]; for(int i=0;i<4;i++) c[i] = a[i]*b[(i+1)%4] - a[(i+1)%4]*b[i]; int d = 0; for(int i=0;i<4;i++) if(c[i]>0.0) d++; if(d==4 or d==0) cout << "YES" << endl; else cout << "NO" << endl; } }
#include <iostream> #include <cmath> using namespace std; int main(void){ double x[4]; double y[4]; char ten; while( cin >> x[0] >> ten >> y[0] ){ cin >> ten >> x[1] >> ten >> y[1] >> ten >> x[2] >> ten >> y[2] >> ten >> x[3] >> ten >> y[3]; double Area = 0; int I; for( int i = 0 ; i < 4 ; i++ ){//座標から多角形の面積を求める公式 if( i == 3 ){ I = 0; } else{ I = i + 1; } Area += ( x[i] * y[I] ) - ( x[I] * y[i] ); } Area = abs(Area) / 2; double area[4]; area[0] = x[0]*y[1] - x[1]*y[0] + x[1]*y[2] - x[2]*y[1] + x[2]*y[0] - x[0]*y[2]; area[1] = x[1]*y[2] - x[2]*y[1] + x[2]*y[3] - x[3]*y[2] + x[3]*y[1] - x[1]*y[3]; area[2] = x[2]*y[3] - x[3]*y[2] + x[3]*y[0] - x[0]*y[3] + x[0]*y[2] - x[2]*y[0]; area[3] = x[3]*y[0] - x[0]*y[3] + x[0]*y[1] - x[1]*y[0] + x[1]*y[3] - x[3]*y[1]; for( int i = 0 ; i < 4 ; i++ ){ area[i] = abs(area[i]) / 2; } double AREA = area[0] + area[1] + area[2] + area[3]; //cout << area[0] << "---" << area[1] << "---" << area[2] << "---" << area[3]<< endl; //cout << Area << endl; //cout << AREA << endl; if( AREA == 2*Area ) cout << "YES" << endl; else cout << "NO" << endl; } return 0; }
#include<iostream> using namespace std; struct Point{ double x,y; void init(double a,double b){x=a;y=b;} bool turn(Point p){return (x*p.y - y*p.x)>=0;} }; int main() { Point A,B,C,D,AB,BC,CD,DA; while(~scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf",&A.x,&A.y,&B.x,&B.y,&C.x,&C.y,&D.x,&D.y)){ AB.init(B.x-A.x,B.y-A.y); BC.init(C.x-B.x,C.y-B.y); CD.init(D.x-C.x,D.y-C.y); DA.init(A.x-D.x,A.y-D.y); if( (AB.turn(BC)==BC.turn(CD))&&(BC.turn(CD)==CD.turn(DA))&&(CD.turn(DA)==DA.turn(AB)) )puts("YES"); else puts("NO"); } }
#include <iostream> #include <sstream> #include <iomanip> #include <algorithm> #include <cmath> #include <string> #include <vector> #include <list> #include <queue> #include <stack> #include <set> #include <map> #include <bitset> #include <numeric> #include <climits> #include <cfloat> using namespace std; class Point{ public: double y, x; Point(double y0, double x0){ y = y0; x = x0; } Point(){ y = x = 0.0; } double cross(const Point& p) const{ return x * p.y - y * p.x; } Point operator-(const Point& p) const{ return Point(y - p.y, x - p.x); } }; int main() { for(;;){ vector<Point> p(4); for(int i=0; i<4; ++i){ char c; if(!(cin >> p[i].x >> c >> p[i].y)) return 0; if(i < 3) cin >> c; } bool plus = true; bool minus = true; for(int i=0; i<4; ++i){ Point p1 = p[(i+2)%4] - p[(i+1)%4]; Point p2 = p[i] - p[(i+1)%4]; if(p1.cross(p2) < 0) plus = false; else minus = false; } if(plus || minus) cout << "YES" << endl; else cout << "NO" << endl; } }
#include <iostream> class Point { public: double m_X; double m_Y; Point(double x, double y) : m_X( x ) , m_Y( y ) {} ~Point() {} double DiffX(const Point& rhs) const { return(rhs.m_X - m_X); } double DiffY(const Point& rhs) const { return(rhs.m_Y - m_Y); } }; class Vec { double m_X; double m_Y; public: Vec(Point start, Point end) : m_X(end.m_X - start.m_X) , m_Y(end.m_Y - start.m_Y) { } ~Vec() {} double CrossProduct(const Vec& rhs) { return(m_X*rhs.m_Y - m_Y*rhs.m_X); } }; int main() { double ax, ay, bx, by, cx, cy, dx, dy; char s; while (std::cin >> ax >> s >> ay >> s >> bx >> s >> by >> s >> cx >> s >> cy >> s >> dx >> s >> dy) { Point a(ax, ay); Point b(bx, by); Point c(cx, cy); Point d(dx, dy); Vec ab(a, b); Vec bc(b, c); Vec cd(c, d); Vec da(d, a); double cp_ab = ab.CrossProduct(bc); double cp_bc = bc.CrossProduct(cd); double cp_cd = cd.CrossProduct(da); double cp_da = da.CrossProduct(ab); if ( (cp_ab > 0 && cp_bc > 0 && cp_cd > 0 && cp_da > 0) || ((cp_ab < 0 && cp_bc < 0 && cp_cd < 0 && cp_da < 0)) ) { std::cout << "YES" << std::endl; } else { std::cout << "NO" << std::endl; } } return 0; }
#include <iostream> using namespace std; int main(void){ double x1,x2,x3,x4,y1,y2,y3,y4, tmp1, tmp2, tmp3, tmp4; char c; while (cin>>x1>>c>>y1>>c>>x2>>c>>y2>>c>>x3>>c>>y3>>c>>x4>>c>>y4){ tmp1 = (y2-y1)*(x3-x1)-(y3-y1)*(x2-x1); tmp2 = (y4-y1)*(x3-x1)-(y3-y1)*(x4-x1); tmp3 = (y1-y2)*(x4-x2)-(y4-y2)*(x1-x2); tmp4 = (y3-y2)*(x4-x2)-(y4-y2)*(x3-x2); if (tmp1*tmp2<0 && tmp3*tmp4<0) cout<<"YES"<<endl; else cout<<"NO"<<endl; } return 0; }
#include <iostream> #include <string> #include <algorithm> #include <cmath> #include <vector> #include <set> #include <cstdlib> using namespace std; typedef long long LL; static const double EPS = 1e-9; #define FOR(i,k,n) for (int i=(k); i<(int)(n); ++i) #define REP(i,n) FOR(i,0,n) int judge(double t1, double t2){ int j=1; if(abs(t2-t1)>M_PI) j*=-1; if(t2-t1<0) j*=-1; return j; } int main(void){ double x[4],y[4],t[4]; while(cin>>x[0]){ int s = 0; cin.ignore(); cin >> y[0]; for(int i=1;i<4;i++){ cin.ignore(); cin >> x[i]; cin.ignore(); cin >> y[i]; } REP(i,4) t[i] = atan2(y[(i+1)%4]-y[i], x[(i+1)%4]-x[i]); REP(i,4) s+=judge(t[i],t[(i+1)%4]); if(abs(s) == 4) cout << "YES" << endl; else cout << "NO" << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef vector<int> vi; typedef vector<ll> vl; typedef complex<double> P; typedef pair<int,int> pii; #define REP(i,n) for(ll i=0;i<n;++i) #define REPR(i,n) for(ll i=1;i<n;++i) #define FOR(i,a,b) for(ll i=a;i<b;++i) #define DEBUG(x) cout<<#x<<": "<<x<<endl #define DEBUG_VEC(v) cout<<#v<<":";REP(i,v.size())cout<<" "<<v[i];cout<<endl #define ALL(a) (a).begin(),(a).end() #define MOD (ll)(1e9+7) #define ADD(a,b) a=((a)+(b))%MOD #define FIX(a) ((a)%MOD+MOD)%MOD double dot(P a,P b){return real(conj(a)*b);} double cross(P a,P b){return imag(conj(a)*b);} int main(){ double a,b,c,d,e,f,g,h; while(~scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf",&a,&b,&c,&d,&e,&f,&g,&h)){ P x[6]; x[0] = P(a,b); x[1] = P(c,d); x[2] = P(e,f); x[3] = P(g,h); x[4] = x[0]; x[5] = x[1]; double ccw = cross(x[2]-x[0],x[1]-x[0]); bool flag = true; REPR(i,4){ double ccc = cross(x[2+i]-x[i],x[1+i]-x[i]); if(ccw*ccc <= 0){ flag = false; break; } } if(flag){ cout<<"YES"<<endl; }else{ cout<<"NO"<<endl; } } return 0; }
#include <stdio.h> #define S(x,y,a,b,l,r) ((x*b+a*r+l*y-y*a-l*b-r*x)>0?0:((x*b+a*r+l*y-y*a-l*b-r*x)<0?1:2)) int main() {double a,b,c,d,o,p,q,r;while (scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf",&a,&b,&c,&d,&o,&p,&q,&r)!=EOF) {int T[4]={0,0,0,0};T[S(a,b,c,d,o,p)]++,T[S(c,d,o,p,q,r)]++,T[S(o,p,q,r,a,b)]++,T[S(q,r,a,b,c,d)]++;if (T[0]&&T[1]) puts("NO"); else puts("YES");} return 0;}
#include <stdio.h> bool is_up(const float x1, const float y1, const float x2, const float y2, const float xp, const float yp){ float y = 0.0; y = (y2 - y1)/(x2 - x1)*(xp - x1) + y1; return yp > y; } int main(void){ float x[4]; float y[4]; while(scanf("%f,%f,%f,%f,%f,%f,%f,%f", x, y, x+1, y+1, x+2, y+2, x+3, y+3) != EOF){ if(is_up(x[0], y[0], x[2], y[2], x[1], y[1]) ^ is_up(x[0], y[0], x[2], y[2], x[3], y[3]) == 0){ puts("NO"); }else if(is_up(x[1], y[1], x[3], y[3], x[2], y[2]) ^ is_up(x[1], y[1], x[3], y[3], x[0], y[0]) == 0){ puts("NO"); }else{ puts("YES"); } } return 0; }
#include<cstdio> #include<algorithm> #include<vector> #include<string> #include<iostream> #include<queue> #include<map> #include<set> #include<complex> #include<stack> #include<cmath> using namespace std; #define reps(i,f,n) for(int i=f;i<int(n);i++) #define rep(i,n) reps(i,0,n) #define X real() #define Y imag() typedef complex<double> P; double cross(P a,P b){return a.X*b.Y-a.Y*b.X;} bool ccw(P a,P b,P c){return cross(b-a,c-a)>=0;} int main(){ double a[8]; while(scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf",&a[0],&a[1],&a[2],&a[3],&a[4],&a[5],&a[6],&a[7])!=EOF){ P b[4]; rep(i,4)b[i]=P((double)a[i*2],(double)a[i*2+1]); bool ok = true; rep(i,4){ if(!ccw(b[i],b[(i+1)%4],b[(i+2)%4]))ok=false; } bool ok2 = true; rep(i,4){ if(!ccw(b[i],b[(i+3)%4],b[(i+2)%4]))ok2=false; } if(ok||ok2)puts("YES"); else puts("NO"); } }
#include <iostream> #include <cstdio> #include <cmath> #include <algorithm> using namespace std; #define EPS (1e-10) double len(double x1, double y1, double x2, double y2){ return sqrt((x1-x2)*(x1-x2) + (y1-y2)*(y1-y2)); } double heron(double a, double b, double c){ double z = (a+b+c) / 2.0; return sqrt(z*(z-a)*(z-b)*(z-c)); } int main(){ double x0, x1, x2, x3, y0 ,y1 ,y2, y3; double ab, bc, cd ,da, ca, db, abc, bcd, cda, dab, maxS; while(~scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf", &x0, &y0, &x1, &y1, &x2, &y2, &x3, &y3)){ ab = len(x0,y0,x1,y1); bc = len(x1,y1,x2,y2); cd = len(x2,y2,x3,y3); da = len(x3,y3,x0,y0); ca = len(x0,y0,x2,y2); db = len(x1,y1,x3,y3); abc = heron(ab, bc, ca); bcd = heron(bc, cd, db); cda = heron(cd, da, ca); dab = heron(da, ab, db); maxS = max(max(abc, bcd), max(cda, dab)); if(fabs(maxS*2.0 - (abc+bcd+cda+dab)) < EPS){ cout << "NO" << endl; }else{ cout << "YES" << endl; } } return 0; }
#include <iostream> #include <cstdio> #include <cmath> using namespace std; double EPS=1e-10; double add(double a, double b) { if(abs(a+b)<EPS*(abs(a)+abs(b))) return 0; return a+b; } double x[5],y[5]; bool input() { bool suc=false; for(int i=0;i<4;i++) { if(!i && scanf("%lf,%lf",&x[i],&y[i])!=EOF) suc=true; else if(i && scanf(",%lf,%lf",&x[i],&y[i])!=EOF) suc=true; } if(suc) return true; else return false; } int main() { while(input()) { bool failed=false; x[4]=x[0],y[4]=y[0]; double vx[5],vy[5]; for(int i=0;i<4;i++) vx[i]=x[i+1]-x[i],vy[i]=y[i+1]-y[i]; vx[4]=vx[0],vy[4]=vy[0]; bool plus=true; if(add(vx[0]*vy[1],-vy[0]*vx[1])<0) plus=false; for(int i=0;i<4;i++) { if(plus && add(vx[i]*vy[i+1],-vy[i]*vx[i+1])<0 ) failed=true; else if(!plus && add(vx[i]*vy[i+1],-vy[i]*vx[i+1])>0 ) failed=true; } if(failed) cout << "NO" << '\n' ; else cout << "YES" << '\n' ; } }
#include<iostream> #include<cmath> struct vector { double x, y; double norm() { return hypot(x, y); } vector operator-(vector v) { vector result; result.x = x - v.x; result.y = y - v.y; return result; } double operator*(vector v) { return x * v.x + y * v.y; } }; double area(vector v1, vector v2, vector v3) { vector side1 = v2 - v1, side2 = v3 - v1; return sqrt(pow(side1.norm() * side2.norm(), 2) - pow(side1 * side2, 2)) / 2; } int main() { while (true) { vector A, B, C, D; char foo; std::cin >> A.x >> foo >> A.y >> foo >> B.x >> foo >> B.y >> foo >> C.x >> foo >> C.y >> foo >> D.x >> foo >> D.y; if (std::cin.eof()) { break; } double ABC = area(A, B, C), ACD = area(A, C, D), BCD = area(B, C, D), ABD = area(A, B, D); std::cout << (ABC + ACD > ABD && ABC + ACD > BCD && ABD + BCD > ABC && ABD + BCD > ACD ? "YES" : "NO") << std::endl; } return 0; }
#include <iostream> #include <sstream> #include <string> #include <utility> using namespace std; using P = pair<double,double>; constexpr int n = 10; double cross(const P &p1,const P &p2){ return p1.first*p2.second - p2.first*p1.second; } int main(){ string str; while(getline(cin,str)){ double tmp[8]; P p[4]; string tmpstr; istringstream stream(str); for(int i=0;getline(stream,tmpstr,',')&&i<8;++i){ tmp[i] = stof(tmpstr); } for(int i=0;i<4;++i){ p[i].first = tmp[(i+1)%4*2]-tmp[i*2]; p[i].second = tmp[(i+1)%4*2+1]-tmp[i*2+1]; // cout << p[i].first << "," << p[i].second << endl; } bool allpos = true ,allneg = true; for(int i=0;i<4;++i){ double val = cross(p[i],p[(i+1)%4]); // cout << val << endl; allpos = allpos && val>0; allneg = allneg && val<0; } bool isconvex = allneg||allpos; if(isconvex){ cout << "YES" << endl; }else{ cout << "NO" << endl; } } }
#include <iostream> #include <cstdio> using namespace std; double cross(double x1, double y1, double x2, double y2, double x3, double y3) { double xx1 = x2-x1, yy1 = y2-y1; double xx2 = x3-x1, yy2 = y3-y1; return (xx1*yy2 - xx2*yy1); } int main() { double xa,xb,xc,xd,ya,yb,yc,yd; while (scanf( "%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf", &xa,&ya,&xb,&yb,&xc,&yc,&xd,&yd) == 8) { double p = cross(xa, ya, xb, yb, xc, yc); bool convex = true; if (p*cross(xb, yb, xc, yc, xd, yd) < 0.0) convex = false; if (p*cross(xc, yc, xd, yd, xa, ya) < 0.0) convex = false; if (p*cross(xd, yd, xa, ya, xb, yb) < 0.0) convex = false; cout << (convex ? "YES" : "NO") << endl; } return 0; }
#include <iostream> #include <fstream> #include <cstring> #include <cstdlib> #include <cstdio> #include <vector> #include <algorithm> #include <queue> #include <stack> #include <list> #include <utility> #include <cmath> #include <sstream> #define F first #define S second #define FOR(i,n) for(int i=0;i<(int)n;i++) #define rep(i,n) for(int i=0;i<(int)n;i++) #define FORI(i,k,n) for(int i=k;i<(int)n;i++) #define repp(i,k,n) for(int i=k;i<(int)n;i++) using namespace std; typedef pair<double, double> pdd; const double EPS = 10e-6; double wid(pdd a, pdd b) { return sqrt((a.first - b.first) * (a.first - b.first) + (a.second - b.second) * (a.second - b.second)); } double yoge(pdd a, pdd b, pdd c) { double A, B, C; C = wid(a, b); A = wid(b, c); B = wid(c, a); return abs(acos((B*B+C*C-A*A)/(2*B*C))); } int main() { pdd p[4]; while (scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf",&p[0].first,&p[0].second,&p[1].first,&p[1].second,&p[2].first,&p[2].second,&p[3].first,&p[3].second)!=EOF) { double x=yoge(p[0],p[3],p[1])/3.1415926535*180+ yoge(p[1],p[0],p[2])/3.1415926535*180+ yoge(p[2],p[1],p[3])/3.1415926535*180+ yoge(p[3],p[2],p[0])/3.1415926535*180-360; if(x<EPS&&x>-1*EPS)cout<<"YES"<<endl; else cout<<"NO"<<endl; } }
#include <iostream> #include <vector> #include <algorithm> #include <cstdio> #include <string> #define rep(x,to) for(int x=0;x<to;x++) #define rep2(x,from,to) for(int x=from;x<to;x++) using namespace std; //三角形面積(三点から) double smen(double x1, double y1, double x2, double y2, double x3, double y3){ double wkk; wkk =((x3-x2) * (y1-y2) - (x1-x2) * (y3-y2) )* 0.5; if(wkk < 0) wkk *= -1; return wkk; } int main(void){ double xa,xb,xc,xd,ya,yb,yc,yd; int cnt=0; char k; while(!cin.eof() && cnt < 50){ cin >> xa >> k >> ya >> k >> xb >> k >> yb >> k >> xc >> k >> yc >> k >> xd >> k >> yd ; if(cin.eof()) break; double s1 = smen(xa,ya,xb,yb,xc,yc); double s1b= smen(xa,ya,xc,yc,xd,yd); double s2 = smen(xa,ya,xb,yb,xd,yd); double s2b= smen(xb,yb,xc,yc,xd,yd); if(s1+s1b==s2+s2b) cout << "YES" << endl; else cout << "NO" << endl; // cin.clear(); cnt++; } return 0; }
#include<iostream> #include<stdio.h> using namespace std; typedef struct point{ double x,y; } point; double cross(point p1, point p2, point p3, point p4){ return ( (p1.x-p2.x)*(p3.y-p1.y) + (p1.y-p2.y)*(p1.x-p3.x)) * ((p1.x-p2.x)*(p4.y-p1.y) + (p1.y-p2.y)*(p1.x-p4.x)); } int main(){ char a; double l[4]; while(1){ bool ans = true; point p[4]; for(int i=0;i<4;i++) if(scanf("%lf,%lf,",&p[i].x,&p[i].y) == EOF) return 0; if(cross(p[0],p[2],p[1],p[3]) > 0.0 || cross(p[1],p[3],p[0],p[2] ) > 0.0) ans = false; if(ans == true) {cout << "YES" << endl;} else {cout << "NO" << endl; } } }
#include <iostream> #include <stdio.h> using namespace std; bool check(double X1,double Y1,double X2,double Y2,double X3,double Y3,double X4,double Y4) { return((X1 - X2) * (Y3 - Y1) - (Y1 - Y2) * (X3 - X1)) * ((X1 - X2) *(Y4 - Y1) - (Y1 - Y2) * (X4 - X1)) > 0.0; } void solve() { double xa, ya, xb, yb, xc, yc, xd, yd; while(~scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf", &xa, &ya, &xb, &yb, &xc, &yc, &xd, &yd) ) if(check(xa,ya,xc,yc,xb,yb,xd,yd) || check(xb,yb,xd,yd,xa,ya,xc,yc)) { cout << "NO" << endl; } else { cout << "YES" << endl; } } int main() { solve(); return(0); }
#define _CRT_SECURE_NO_WARNINGS #include"bits/stdc++.h" #include<cassert> using namespace std; #define int long long #define rep(i,n) for(int i=0;i<n;i++) const long long mod = 998244353; const long long inf = 1ll << 61; const double eps = 0.000000000001; typedef pair<int, int> P; typedef pair<P, int>PP; struct edge { int to; int cost; }; double det(double x11,double x12,double x21,double x22) { return x11*x22 - x12*x21; } signed main() { double x[4],y[4]; while (~scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf",&x[0],&y[0],&x[1],&y[1],&x[2],&y[2],&x[3],&y[3])) { double ans[4]; rep(i, 4) { ans[i] = det(x[(i + 1) % 4] - x[i], y[(i + 1) % 4] - y[i], x[(i + 2) % 4] - x[i], y[(i + 2) % 4] - y[i]); } rep(i, 3)ans[0] *= ans[i + 1]; if (ans[0] > 0)puts("YES"); else puts("NO"); } }
#include <iostream> #include <complex> #include <cmath> using namespace std; typedef complex <double> P; #define X real() #define Y imag() double func(P p1, P p2, P p3, P p4){ return ( (p1.X-p2.X)*(p3.Y-p1.Y) + (p1.Y-p2.Y)*(p1.X-p3.X)) * ((p1.X-p2.X)*(p4.Y-p1.Y) + (p1.Y-p2.Y)*(p1.X-p4.X)); } int main(void) { double x1, x2, x3, x4, y1, y2, y3, y4; char a; while (cin>>x1>>a>>y1>>a>>x2>>a>>y2>>a>>x3>>a>>y3>>a>>x4>>a>>y4){ P a(x1, y1); P b(x2, y2); P c(x3, y3); P d(x4, y4); if (0.0 < func(a, c, b, d) || 0.0 < func(b, d, a, c)) cout << "NO" << endl; else cout << "YES" << endl; } return 0; }
#include <stdio.h> #include <math.h> #include <algorithm> using namespace std; int main() { double x1, x2, x3, x4, y1, y2, y3, y4, dist1, dist2, dist3, dist4, dist5, dist6; while (scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf", &x1, &y1, &x2, &y2, &x3, &y3, &x4, &y4) != EOF) { dist1 = sqrt((x1 - x3) * (x1 - x3) + (y1 - y3) * (y1 - y3)); dist2 = sqrt((x2 - x4) * (x2 - x4) + (y2 - y4) * (y2 - y4)); dist3 = fabs((y2 - y4) * x1 + (x4 - x2) * y1 + y2 * (x2 - x4) - x2 * (y2 - y4)) / (sqrt((y2 - y4) * (y2 - y4) + (x4 - x2) * (x4 - x2))); dist4 = fabs((y1 - y3) * x2 + (x3 - x1) * y2 + y1 * (x1 - x3) - x1 * (y1 - y3)) / (sqrt((y1 - y3) * (y1 - y3) + (x3 - x1) * (x3 - x1))); dist5 = fabs((y2 - y4) * x3 + (x4 - x2) * y3 + y2 * (x2 - x4) - x2 * (y2 - y4)) / (sqrt((y2 - y4) * (y2 - y4) + (x4 - x2) * (x4 - x2))); dist6 = fabs((y1 - y3) * x4 + (x3 - x1) * y4 + y1 * (x1 - x3) - x1 * (y1 - y3)) / (sqrt((y1 - y3) * (y1 - y3) + (x3 - x1) * (x3 - x1))); if (dist1 < dist3 || dist2 < dist4 || dist1 < dist5 || dist2 < dist6) { printf("NO\n"); } else { printf("YES\n"); } } return 0; }
#include <cstdio> using namespace std; struct Point { double x, y; }; bool intersect(Point a, Point b, Point c, Point d) { return ((a.x - b.x) * (c.y - a.y) + (a.y - b.y) * (a.x - c.x)) * ((a.x - b.x) * (d.y - a.y) + (a.y - b.y) * (a.x - d.x)) < 0; } int main() { Point A, B, C, D; while (~scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf", &A.x, &A.y, &B.x, &B.y, &C.x, &C.y, &D.x, &D.y)) { if (intersect(A, C, B, D) && intersect(B, D, A, C)) puts("YES"); else puts("NO"); } }
#include <cstdio> using namespace std; struct Point { double x, y; Point(double x = 0, double y = 0) : x(x), y(y){} Point operator - (Point p) {return (Point(x - p.x, y - p.y));} }; double cross(Point a, Point b) { return (a.x * b.y - a.y * b.x); } int ccw(Point x, Point y) { if (cross(x, y) > 0) return (+1); return (0); } int main() { Point a, b, c, d; while (scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf", &a.x, &a.y, &b.x, &b.y, &c.x, &c.y, &d.x, &d.y) != EOF){ int dir = ccw(b - a, c - a) + ccw(c - b, d - b) + ccw(d - c, a - c) + ccw(a - d, b - d); printf("%s\n", dir % 4 ? "NO" : "YES"); } return (0); }
#include <iostream> #include <vector> #include <string> #include <cstdlib> #include <cmath> using namespace std; vector<string> split(const string &str, char delim){ vector<string> res; size_t current = 0, found; while((found = str.find_first_of(delim, current)) != string::npos){ res.push_back(string(str, current, found - current)); current = found + 1; } res.push_back(string(str, current, str.size() - current)); return res; } double isCross(double p1_x,double p1_y,double p2_x,double p2_y,double p3_x,double p3_y,double p4_x,double p4_y){ return ( (p1_x-p2_x)*(p3_y-p1_y) + (p1_y-p2_y)*(p1_x-p3_x)) * ((p1_x-p2_x)*(p4_y-p1_y) + (p1_y-p2_y)*(p1_x-p4_x)); } int main() { string s; while(cin >> s) { vector<string> _s = split(s,','); double *a = new double[8]; for(int i=0;i<8;i++) { a[i] = atoi(_s[i].c_str()); } if(isCross(a[0],a[1],a[4],a[5],a[2],a[3],a[6],a[7]) > 0.0 || isCross(a[2],a[3],a[6],a[7],a[0],a[1],a[4],a[5]) > 0.0) { cout << "NO" << endl; } else { cout << "YES" << endl; } } return 0; }
#include<cstdio> #include<iostream> #include<cmath> using namespace std; int main(void){ double xa,ya,xb,yb,xc,yc,xd,yd; double sikaku; while(scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf",&xa,&ya,&xb,&yb,&xc,&yc,&xd,&yd)!=EOF){ sikaku=abs(((xa*yb+xb*yc+xc*yd+xd*ya)-(xb*ya+xc*yb+xd*yc+xa*yd))/2); xb-=xa,xc-=xa,xd-=xa,xa=0; yb-=ya,yc-=ya,yd-=ya,ya=0; if(sikaku==(abs((xb*yc-yb*xc)/2)+abs((xc*yd-yc*xd)/2))){ xa-=xd,xb-=xd,xc-=xd,xd=0; ya-=yd,yb-=yd,yc-=yd,yd=0; if(sikaku==(abs((xb*ya-yb*xa)/2)+abs((xc*yb-yc*xb)/2))) cout<<"YES"<<endl; else cout<<"NO"<<endl; } else cout<<"NO"<<endl; } return 0; }
#include <stdio.h> int main(void) { double x[4], y[4]; int i, j; while(scanf("%lf,%lf", &x[0], &y[0]) != EOF) { for(i = 1; i < 4; ++i) scanf(",%lf,%lf", &x[i], &y[i]); int s, ans = 1; if((x[1] - x[0]) * (y[2] - y[0]) - (y[1] - y[0]) * (x[2] - x[0]) > 0) s = 1; else s = 0; for(i = 1; i < 4; ++i) { double tmp = (x[(i + 1) % 4] - x[i]) * (y[(i + 2) % 4] - y[i]) - (y[(i + 1) % 4] - y[i]) * (x[(i + 2) % 4] - x[i]); if((s && tmp < 0) || (!s && tmp > 0)) { ans = 0; break; } } if(ans) printf("YES\n"); else printf("NO\n"); } return 0; }
#include <cstdio> using namespace std; int main(){ float p[4][2]; while(scanf("%f,%f,%f,%f,%f,%f,%f,%f" ,&p[0][0],&p[0][1],&p[1][0],&p[1][1],&p[2][0],&p[2][1],&p[3][0],&p[3][1])>0){ for(int i=0;i<4;i++){ int n,m; float a1,a2,b1,b2,xp,yp,A,B; a1=p[(i+1)%4][0]-p[i%4][0]; a2=p[(i+1)%4][1]-p[i%4][1]; b1=p[(i+3)%4][0]-p[i%4][0]; b2=p[(i+3)%4][1]-p[i%4][1]; xp=p[(i+2)%4][0]-p[i%4][0]; yp=p[(i+2)%4][1]-p[i%4][1]; A=(b1*yp-b2*xp)/(a2*b1-a1*b2); B=(a2*xp-a1*yp)/(a2*b1-a1*b2); if(A+B<1&&A>0&&B>0){ printf("NO\n"); break; } if(i==3) printf("YES\n"); } } return 0; }
#include <iostream> #include <cmath> #include <cstdio> using namespace std; //??´???AB????§?????????´???BC????§??????????RotType????¨????(A???B???C????????§??????) //RotType = ????????¢1, ????????¢-1, ??´???0 int getRotType( double angle_a, double angle_b ){ const int eps = 1e-8; const double PAI = 3.14159265358979; if( fabs(angle_a - angle_b) <= eps ) return 0; if( angle_a > angle_b + PAI ) angle_b += 2 * PAI; else if( angle_b > angle_a + PAI ) angle_a += 2 * PAI; if( angle_b > angle_a ) //?§????????¢???????????????? return 1; return -1; //?§???????????°????????????? } int main() { double x[4], y[4]; while(scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf", &x[0], &y[0], &x[1], &y[1], &x[2], &y[2], &x[3], &y[3]) != -1) { //A???B???C, B???C???D, C???D???A?????????????????¨??????????????????????????? double ang[4]; for( int i = 0; i < 4; i++ ) ang[i] = atan2(y[(i+1)%4] - y[i%4], x[(i+1)%4] - x[i%4]); double angType[4]; for( int i = 0; i < 4; i++ ) angType[i] = getRotType( ang[i], ang[(i+1)%4] ); int i; for( i = 0; i < 3; i++ ){ if( angType[i] != angType[i+1] ) break; } if( i == 3 ) cout << "YES" << endl; else cout << "NO" << endl; } return 0; }
#include <iostream> #include <cmath> using namespace std; double theta(int x, int y) { double h = sqrt(pow(x,2)+pow(y,2)); double t = asin(y / h); if (x >= 0 && y >= 0) return t; else if (x < 0 && y >= 0) return M_PI - t; else if (x < 0 && y < 0) return M_PI - t; else return 2 * M_PI + t; } int hoge(double p1[2], double p2[2], double p3[2]) { double theta1 = theta(p2[0] - p1[0], p2[1] - p1[1]); double theta2 = theta(p3[0] - p1[0], p3[1] - p1[1]); if (0 <= theta1 && theta1 <= M_PI) if (theta1<=theta2 && theta2 <= theta1 + M_PI) return 1; else return -1; else if (theta1 <= theta2 || theta2 <= (theta1 - M_PI)) return 1; else return -1; } int main(void) { double p[4][2]; char c; while (cin >> p[0][0]>> c >> p[0][1]) { for (int i = 1; i < 4; ++i) cin >> c >> p[i][0] >> c >> p[i][1]; int sum = 0; for (int i = 0; i < 4; ++i) sum += hoge(p[i], p[(i+1)%4], p[(i+2)%4]); cout << ((sum==4 || sum==-4)? "YES" : "NO") << endl; } return 0; }
//0035 s it Convex //http://www5d.biglobe.ne.jp/~tomoya03/shtml/algorithm/Intersection.htm ‚±‚±‚©‚çl‚¦”qŽØ #include<iostream> using namespace std; struct Point { double x, y; Point(double x,double y):x(x), y(y){} Point(){} }; inline double AngleFromLine(const Point &p1, const Point &p2, const Point &to) { //(x1-x2)*(y-y1)+(y1-y2)*(x1-x)=0@‚ª’¼ü‚ÌŽ® return ((p1.x-p2.x)*(to.y-p1.y)+(p1.y-p2.y)*(p1.x-to.x)); } int main(void) { const int N = 4; while(1) { Point p[N]; char dummy; int i; for(i = 0; i < N; i++) { if(i) cin >> dummy; cin >> p[i].x >> dummy >> p[i].y; } if(!cin) break; double last = 0; //‘O‰ñ‚ÌŒü‚«”»’è‚ÌŒ‹‰Ê@0‚Í’¼üó‚¾‚©‚獡‰ñ‚Ì–â‘è‚ł͑¶Ý‚µ‚È‚¢ double current; bool isConvex = true; //“ʁH for(i = 0; i < N; i++) { current = AngleFromLine(p[i], p[(i+1)%N], p[(i+2)%N]); //‘O‰ñ‚ÆŒü‚«‚ªˆá‚¦‚΁AÏ‚̓}ƒCƒiƒX‚ɂȂé if(last * current < 0) { isConvex = false; break; } last = current; } cout << (isConvex ? "YES": "NO") << endl; } return 0; }
#include <cstdio> #include <cmath> using namespace std; int main(void){ double x[4], y[4]; double p[4]; while (scanf("%lf,%lf,", &x[0], &y[0])>0){ scanf("%lf,%lf,%lf,%lf,%lf,%lf", &x[1], &y[1], &x[2], &y[2], &x[3], &y[3]); for (int i=0; i<4; i++){ int j=(i+1)%4; int k=(i+2)%4; p[i] = (x[j]-x[i])*(y[k]-y[j])-(x[k]-x[j])*(y[j]-y[i]); //printf("%lf\n", p[i]); } puts(p[0]*p[1]<0||p[1]*p[2]<0||p[2]*p[3]<0||p[3]*p[0]<0 ? "NO": "YES"); } return 0; }
#include<bits/stdc++.h> using namespace std; double d[10]; string s; void f() { s += ','; bool b00l = 0; int cnt = 0; double p = 0, sig = 1, pk = 1; for (char ch : s) { if (ch == ',') { d[cnt] = p * sig; p = 0; sig = 1; cnt++; b00l = 0; pk = 1; } else if (ch == '-')sig = -1; else if (ch == '.') b00l = 1; else if (b00l) { pk /= 10; p += pk * (ch - '0'); } else p = p * 10 + ch - '0'; } } signed main() { while (cin >> s) { f(); if (((d[0] - d[4]) * (d[3] - d[1]) - (d[1] - d[5]) * (d[2] - d[0])) * ((d[0] - d[4]) * (d[7] - d[1]) - (d[1] - d[5]) * (d[6] - d[0])) > 0)cout << "NO\n"; else if (((d[2] - d[6]) * (d[1] - d[3]) - (d[3] - d[7]) * (d[0] - d[2])) * ((d[2] - d[6]) * (d[5] - d[3]) - (d[3] - d[7]) * (d[4] - d[2])) > 0)cout << "NO\n"; else cout << "YES\n";//0145<=>2367 } }
#include <iostream> #include <cstdio> #include <complex> using namespace std; const double EPS = 1.0e-6; int main() { double xa,ya,xb,yb,xc,yc,xd,yd; while(scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf", &xa,&ya,&xb,&yb,&xc,&yc,&xd,&yd) > 0){ //printf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf\n",xa,ya,xb,yb,xc,yc,xd,yd); complex<double> v[4]; v[0] = complex<double>(xb-xa, yb-ya); v[1] = complex<double>(xc-xb, yc-yb); v[2] = complex<double>(xd-xc, yd-yc); v[3] = complex<double>(xa-xd, ya-yd); int p = 0; int m = 0; for(int i=0; i<4; i++){ if( imag(conj(v[i])*v[(i+1)%4]) < 0){ m++; } else { p++; } } if(m==4||p==4) cout<<"YES"; else cout<<"NO"; cout<<endl; } return 0; }
#include<iostream> #include<cmath> using namespace std; int main(){ char c; double xa,ya,xb,yb,xc,yc,xd,yd,ab,bc,cd,da,aa,bb,cc,dd; while(cin>>xa){ cin>>c>>ya>>c>>xb>>c>>yb>>c>>xc>>c>>yc>>c>>xd>>c>>yd; ab=(xb-xa)*(yc-ya)-(yb-ya)*(xc-xa); bc=(xc-xb)*(yd-yb)-(yc-yb)*(xd-xb); cd=(xd-xc)*(ya-yc)-(yd-yc)*(xa-xc); da=(xa-xd)*(yb-yd)-(ya-yd)*(xb-xd); if(ab*bc<0||bc*cd<0||cd*da<0||da*ab<0)cout<<"NO"<<endl; else cout<<"YES"<<endl; } return 0; }
#include <iostream> #include <algorithm> #include <cmath> #include <cstdio> #include <string> #include <map> #include <vector> #include <stack> using namespace std; #define rep(i,n) for(int i=0;i<n;i++) typedef struct P { double x; double y; } P; double isCross(P a, P b, P c, P d) { return ((a.x - b.x)*(c.y - a.y) + (a.y - b.y)*(a.x - c.x)) * ((a.x - b.x)*(d.y - a.y) + (a.y - b.y)*(a.x - d.x)); } int main(void) { double xa,xb,xc,xd,ya,yb,yc,yd; while (~scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf", &xa, &ya, &xb, &yb, &xc, &yc, &xd, &yd)) { P a = {xa, ya}; P b = {xb, yb}; P c = {xc, yc}; P d = {xd, yd}; if (isCross(a, b, c, d) > 0.0 && isCross(c, d, a, b) > 0.0) { cout << "YES" << endl; } else { cout << "NO" << endl; } } return 0; }
#include <iostream> #include <cmath> #include <cstdlib> #include <cstring> #include <vector> #include <cstdio> using namespace std; struct p{ double x; double y; p operator -(p& rh){ p pnt; pnt.x = this->x - rh.x; pnt.y = this->y - rh.y; return pnt; } void print(){ cout << this->x << ", " << this->y << endl; } }; double cross(p a, p b){ return a.x*b.y - a.y*b.x; } bool isLeft(p a, p b, p c){ // c が ab より左ならtrue //a.print(); //b.print(); //c.print(); //cout << "cross:" << cross(b-a, c-a) << endl << endl; return (cross(b-a, c-a) > 0); } bool isInside(p a, p b, p c, p d){ // d が abc 内部なら true bool left = false; bool right = false; bool m, n, l; m = isLeft(a, b, d); n = isLeft(b, c, d); l = isLeft(c, a, d); left = m || n || l; right = !m || !n || !l; return left^right; } int main(){ p pnt[4]; while(scanf("%lf", &pnt[0].x) != EOF){ scanf(",%lf", &pnt[0].y); for(int i = 1; i < 4; i++){ scanf(",%lf", &pnt[i].x); scanf(",%lf", &pnt[i].y); } bool b = true; for(int i = 0; i < 4 && b; i++){ b &= !isInside(pnt[(i+0)%4], pnt[(i+1)%4], pnt[(i+2)%4], pnt[(i+3)%4]); } if(b){ cout << "YES" << endl; }else{ cout << "NO" << endl; } } return 0; }
#include <bits/stdc++.h> #define rep(i,l,n) for(int i=l;i<n;i++) #define rer(i,l,n) for(int i=l;i<=n;i++) #define all(a) a.begin(),a.end() #define o(a) cout<<a<<endl #define pb(a) push_back(a) #define mk(a,b) make_pair(a,b) #define fi first #define se second using namespace std; typedef long long ll; typedef vector<int> vi; typedef vector<vi> vvi; typedef pair<int,int> pii; double cross_product(double x1,double y1,double x2,double y2){ return x1*y2-x2*y1; } int main(){ double x[4],y[4]; while(~scanf("%lf,%lf",&x[0],&y[0])){ rep(i,1,4) scanf(",%lf,%lf",&x[i],&y[i]); double c=1; rep(i,0,4){ c*=cross_product(x[(i+1)%4]-x[i],y[(i+1)%4]-y[i],x[(i+2)%4]-x[(i+1)%4],y[(i+2)%4]-y[(i+1)%4]); //o(c[i]); } if(c>0) o("YES"); else o("NO"); } }
#include <iostream> #include <cstdlib> #include <stdio.h> #include <cmath> using namespace std; double triangle(double x1,double y1,double x2,double y2,double x3,double y3) { double a[2],b[2],theta,al,bl; a[0] = x2 - x1; a[1] = y2 - y1; b[0] = x3 - x1; b[1] = y3 - y1; al = sqrt(a[0] * a[0] + a[1] * a[1]); bl = sqrt(b[0] * b[0] + b[1] * b[1]); theta = acos((a[0] * b[0] + a[1] * b[1]) / (al * bl)); return al * bl * abs(sin(theta)) / 2; } int main() { double x0,y0,x1,y1,x2,y2,x3,y3; double abc,bcd,cda,dab,abd,cbd,acd; while(scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf",&x0,&y0,&x1,&y1,&x2,&y2,&x3,&y3) == 8) { abc = triangle(x0,y0,x1,y1,x2,y2); bcd = triangle(x1,y1,x2,y2,x3,y3); cda = triangle(x2,y2,x3,y3,x0,y0); dab = triangle(x3,y3,x0,y0,x1,y1); abd = triangle(x0,y0,x1,y1,x3,y3); cbd = triangle(x2,y2,x1,y1,x3,y3); acd = triangle(x0,y0,x2,y2,x3,y3); if(abc > abd + cbd) cout << "NO" << endl; else if(bcd > abc + acd) cout << "NO" << endl; else if(cda > abd + bcd) cout << "NO" << endl; else if(dab > abc + acd) cout << "NO" << endl; else cout << "YES" << endl; } }
#include <iostream> #include <cstdio> #include <cmath> using namespace std; double ang(double x1, double y1, double x2, double y2) { return acos((x1 * x2 + y1 * y2) / (sqrt(x1 * x1 + y1 * y1) * sqrt(x2 * x2 + y2 * y2))); } int main (void) { while (true) { double x1, x2, x3, x4, y1, y2, y3, y4; if (scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf", &x1, &y1, &x2, &y2, &x3, &y3, &x4, &y4) == EOF) break; double a = 0; a += ang(x2 - x1, y2 - y1, x2 - x3, y2 - y3); a += ang(x3 - x2, y3 - y2, x3 - x4, y3 - y4); a += ang(x4 - x3, y4 - y3, x4 - x1, y4 - y1); a += ang(x1 - x4, y1 - y4, x1 - x2, y1 - y2); if (abs(M_PI * 2 - a) < 0.01) { cout << "YES" << endl; } else { cout << "NO" << endl; } } return 0; }
#include <iostream> #include <cstdio> #include <cmath> using namespace std; struct Vec2d{ double x,y; }; double cross(Vec2d &A, Vec2d &B){ return A.x*B.y - A.y*B.x; } int main(void){ double x[4],y[4]; while(scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf",&x[0],&y[0],&x[1],&y[1],&x[2],&y[2],&x[3],&y[3])!=EOF){ bool f=true; for(int i=0;i<4;++i){ double xx[3],yy[3]; double xp = x[i], yp = y[i]; int cnt=0; for(int j=0;j<4;++j){ if(i==j) continue; xx[cnt] = x[j]; yy[cnt] = y[j]; ++cnt; } Vec2d AB,AP,BC,BP,CA,CP; AB.x = xx[1]-xx[0]; AB.y = yy[1]-yy[0]; BC.x = xx[2]-xx[1]; BC.y = yy[2]-yy[1]; CA.x = xx[0]-xx[2]; CA.y = yy[0]-yy[2]; AP.x = xp-xx[0]; AP.y = yp-yy[0]; BP.x = xp-xx[1]; BP.y = yp-yy[1]; CP.x = xp-xx[2]; CP.y = yp-yy[2]; if(cross(AB,AP)>0.0 && cross(BC,BP)>0.0 && cross(CA,CP)>0.0) f=false; else if(cross(AB,AP)<0.0 && cross(BC,BP)<0.0 && cross(CA,CP)<0.0) f=false; else ; } cout<<((f)?"YES":"NO")<<endl; } return 0; }
#define _USE_MATH_DEFINES #include <cstdio> #include <iostream> #include <algorithm> #include <cmath> #include <string> #include <cstring> #include <vector> #include <map> #include <utility> #include <complex> #include <stack> #include <climits> #include <set> #include <numeric> using namespace std; typedef complex<double> P; double sq(double x){return x*x;} double cross(P x,P y){ return x.real() * y.imag() - x.imag() * y.real(); } int main(){ double x[4],y[4]; while(~scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf",x,y,x+1,y+1,x+2,y+2,x+3,y+3)){ P p[4]; for (int i = 0; i < 4; i++) p[i] = P(x[i],y[i]); bool f[4]; memset(f,0,4); for (int i = 0; i < 4; i++) if(cross(p[(i+2)&3] - p[(i+1)&3],p[i] - p[(i+1)&3]) < 0) f[i] = true; int sum = accumulate(f,f+4,0); if(sum == 0 || sum == 4) puts("YES"); else puts("NO"); } return 0; }
#include<cstdio> #include<algorithm> #include<iostream> using namespace std; struct P{ P(double a, double b){ x = a;y = b; } double x, y; double det(P a){ return x * a.y - y * a.x; } P operator-(P a){ return P(x - a.x, y - a.y); } }; int main(){ double xa, ya ,xb, yb, xc, yc, xd, yd; while(~scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf", &xa, &ya, &xb, &yb, &xc, &yc, &xd, &yd)){ P a = P(xa, ya); P b = P(xb, yb); P c = P(xc, yc); P d = P(xd, yd); P ab = b - a; P bc = c - b; P cd = d - c; P da = a - d; if((ab.det(bc) <= 0) == (bc.det(cd) <= 0) && (bc.det(cd) <= 0) == (cd.det(da) <= 0) && (cd.det(da) <= 0) == (da.det(ab) <= 0)){ cout << "YES" << endl; } else{ cout << "NO" << endl; } } }
#include <cstdio> #include <iostream> #include <complex> using namespace std; #define X real() #define Y imag() typedef double D; typedef complex<D> P; #define EPS (1e-9) inline D inprd(const P &a, const P &b){ return (conj(a) * b).X; } inline D outprd(const P &a, const P &b){ return (conj(a) * b).Y; } inline D sign(D d){ return (d<0)?-1:d>0?1:0; } int main(){ string s; while(getline(cin, s)){ double xa,ya,xb,yb,xc,yc,xd,yd; sscanf(s.c_str(), "%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf", &xa,&ya,&xb,&yb,&xc,&yc,&xd,&yd); P a(xa,ya), b(xb,yb), c(xc,yc), d(xd,yd); double sa = sign(outprd(b-a, d-a)); double sb = sign(outprd(c-b, a-b)); double sc = sign(outprd(d-c, b-c)); double sd = sign(outprd(a-d, c-d)); if(sa == sb && sb == sc && sc == sd){ cout << "YES" << endl; } else { cout << "NO" << endl; } } return 0; }
#define _USE_MATH_DEFINES #include <iostream> #include <sstream> #include <cmath> #include <algorithm> #include <queue> #include <stack> #include <limits> #include <map> #include <string> #include <cstring> typedef long long ll; using namespace std; struct Point{ double x; double y; }; bool is_inter(struct Point p1,struct Point p2, struct Point p3, struct Point p4) { if(((p1.x-p2.x) * (p3.y - p1.y) + (p1.y - p2.y) * (p1.x - p3.x)) * ((p1.x - p2.x) * (p4.y - p1.y) + (p1.y - p2.y) * (p1.x - p4.x)) < 0){ return true; } return false; } int main() { double xa, ya, xb, yb, xc, yc, xd, yd; Point a,b,c,d; while(~scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf", &xa, &ya, &xb, &yb, &xc, &yc, &xd, &yd)){ a.x = xa; a.y = ya; b.x = xb; b.y = yb; c.x = xc; c.y = yc; d.x = xd; d.y = yd; printf("%s\n",is_inter(a,c,b,d) && is_inter(b,d,a,c) ? "YES" : "NO"); } }
#include <iostream> #include <string> #include <math.h> #include <stdio.h> #include <ctype.h> using namespace std; int main () { double x1,x2,x3,x4,y1,y2,y3,y4; while(scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf",&x1,&y1,&x3,&y3,&x2,&y2,&x4,&y4)!=EOF){ double tc=(x1-x2)*(y3-y1)+(y1-y2)*(x1-x3); double td=(x1-x2)*(y4-y1)+(y1-y2)*(x1-x4); double ta=(x3-x4)*(y1-y3)+(y3-y4)*(x3-x1); double tb=(x3-x4)*(y2-y3)+(y3-y4)*(x3-x2); if(tc*td<0&&ta*tb<0){ cout<<"YES"<<endl; }else{ cout<<"NO"<<endl; } } return 0; }
#include <bits/stdc++.h> #define PI 3.14159265359 using namespace std; int main() { typedef struct zahyou { double x, y; } z; z a, b, c, d; char ch; while (cin >> a.x) { cin >> ch >> a.y >> ch >> b.x >> ch >> b.y >> ch >> c.x >> ch >> c.y >> ch >> d.x >> ch >> d.y; //cout << a.x << ' ' << a.y << endl; //cout << b.x << ' ' << b.y << endl; //cout << c.x << ' ' << c.y << endl; //cout << d.x << ' ' << d.y << endl; int f = 0; double n, m; n = (a.x - c.x) * (b.y - a.y) - (a.y - c.y) * (b.x - a.x); m = (a.x - c.x) * (d.y - a.y) - (a.y - c.y) * (d.x - a.x); //cout << fixed << setprecision(4) << n << ' ' << m << endl; if (n * m > 0) f = 1; n = (b.x - d.x) * (a.y - b.y) - (b.y - d.y) * (a.x - b.x); m = (b.x - d.x) * (c.y - b.y) - (b.y - d.y) * (c.x - b.x); //cout << fixed << setprecision(4) << n << ' ' << m << endl; if (n * m > 0) f = 1; if (!f) { cout << "YES" << endl; } else { cout << "NO" << endl; } } }
#include<iostream> #include<cstdio> #define dff 1e-19 using namespace std; struct vec{ double x; double y; }; bool cross(vec a, vec b, vec x, vec y); int main(){ for(;;){ vec a,b,c,d; if(scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf",&(a.x),&(a.y),&(b.x),&(b.y),&(c.x),&(c.y),&(d.x),&(d.y)) == EOF) break; if(cross(a,c,b,d) && cross(b,d,a,c)) cout <<"YES"<<endl; else cout <<"NO"<<endl; } return 0; } bool cross(vec a, vec b, vec x, vec y){ vec p,q,r; p.x = b.x-a.x; p.y = b.y-a.y; q.x = x.x-a.x; q.y = x.y-a.y; r.x = y.x-a.x; r.y = y.y-a.y; if((p.x*q.y-p.y*q.x)*(p.x*r.y-p.y*r.x)<dff) return true; return false; }
#include <iostream> #include <algorithm> #include <complex> #include <cstdio> #define EPS 1e-10 #define EQ(a,b) (abs(a - b) < EPS) #define EQV(a,b) ( EQ((a).real(), (b).real()) && EQ((a).imag(), (b).imag())) using namespace std; typedef complex<double> P; double cross (P a, P b) { return (a.real() * b.imag() - a.imag() * b.real()); } int is_intersected_ls(P a1, P a2, P b1, P b2) { return ( cross(a2-a1, b1-a1) * cross(a2-a1, b2-a1) < EPS ) && ( cross(b2-b1, a1-b1) * cross(b2-b1, a2-b1) < EPS ); } int main () { double ax, ay, bx, by, cx, cy, dx, dy; while (scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf", &ax, &ay, &bx, &by, &cx, &cy, &dx, &dy) != EOF) { P a = P(ax, ay); P b = P(bx, by); P c = P(cx, cy); P d = P(dx, dy); if (EQ(is_intersected_ls(a, c, d, b), 0.0)) cout << "NO" << endl; else cout << "YES" << endl; } return 0; }
#include<iostream> #include<cstdio> using namespace std; bool C(double a,double b,double c,double d){return a*d-b*c>=0;} int main() { double a,b,c,d,e,f,g,h; while(~scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf",&a,&b,&c,&d,&e,&f,&g,&h)) { int cnt=C(e-c,f-d,a-c,b-d)+C(g-e,h-f,c-e,d-f)+C(a-g,b-h,e-g,f-h)+C(c-a,d-b,g-a,h-b); cout<<(cnt==0||cnt==4?"YES":"NO")<<endl; } }
#include<cstdio> #include<cmath> #include<algorithm> using namespace std; double ab,ac,ad,bc,bd,cd; bool heron(); int main(){ double xa,ya,xb,yb,xc,yc,xd,yd; while(scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf",&xa,&ya,&xb,&yb,&xc,&yc,&xd,&yd) != EOF){ ab = sqrt((xa-xb)*(xa-xb) + (ya-yb)*(ya-yb)); ac = sqrt((xa-xc)*(xa-xc) + (ya-yc)*(ya-yc)); ad = sqrt((xa-xd)*(xa-xd) + (ya-yd)*(ya-yd)); bc = sqrt((xb-xc)*(xb-xc) + (yb-yc)*(yb-yc)); bd = sqrt((xb-xd)*(xb-xd) + (yb-yd)*(yb-yd)); cd = sqrt((xc-xd)*(xc-xd) + (yc-yd)*(yc-yd)); bool f = heron(); (f) ? puts("YES") : puts("NO"); } return 0; } bool heron(){ double sq1=0.0,sq2=0.0; double S,s; /*sq1*/ s = (ab+ac+bc)*0.5; S = sqrt(s * (s-ab) * (s-ac) * (s-bc)); sq1 += S; s = (ac+ad+cd)*0.5; S = sqrt(s * (s-ac) * (s-ad) * (s-cd)); sq1 += S; /*sq2*/ s = (ab+ad+bd)*0.5; S = sqrt(s * (s-ab) * (s-ad) * (s-bd)); sq2 += S; s = (bc+bd+cd)*0.5; S = sqrt(s * (s-bc) * (s-bd) * (s-cd)); sq2 += S; bool j; (fabs(sq1-sq2) <= 0.01) ? j = true : j = false; return j; }
#include<iostream> #include<vector> #include<string> #include<cmath> #include<numeric> #include<complex> #define IOS ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); #define rep(i,n) for(int i=0;i<n;i++) #define repn(i,n) for(int i=1;i<=n;i++) #define reps(i,s,n) for(int i=s;i<n;i++) using namespace std; typedef long long ll; typedef long double ld; typedef complex<double> P; int main(){ IOS; // ld a[2],b[2],c[2],d[2] ld x,y; char c; P p[4]; while(1){ int che=0; rep(i,4){ // cin>>x>>c>>y; if(!((cin>>x).ignore()>>y).ignore()) return 0; p[i]=P(x,y); } bool a[2]={}; rep(i,4){ // cout<<i<< " "<<p[i]<<endl; P c=p[i]-p[(i+1)%4], d=p[(i+1)%4]-p[(i+2)%4]; // cout<< c<<" "<<d<<endl; // cout<<i<<c<<d<<endl; if(c.real()*d.imag()-c.imag()*d.real()>0){ che+=1; // cout<<i<<c<<d<<endl; } // cout<<a[0]<<" "<<a[1]<<endl; } cout << ((che<4&&che>0)?"NO":"YES")<<endl; } return 0; }
#include <iostream> #include <cstdio> using namespace std; class Point { public: double x, y; }; bool isIntersect(Point p1, Point p2, Point p3, Point p4) { return ((p1.x - p2.x) * (p3.y - p1.y) + (p1.y - p2.y) * (p1.x - p3.x)) * ((p1.x - p2.x) * (p4.y - p1.y) + (p1.y - p2.y) * (p1.x - p4.x)) < 0; } int main () { Point p[4]; while (scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf", &p[0].x, &p[0].y, &p[1].x, &p[1].y, &p[2].x, &p[2].y, &p[3].x, &p[3].y) != EOF) { if (isIntersect(p[0], p[2], p[1], p[3]) && isIntersect(p[1], p[3], p[0], p[2])) { cout << "YES" << endl; } else { cout << "NO" << endl; } } }
#include <bits/stdc++.h> #define range(i,a,b) for(int i = (a); i < (b); i++) #define rep(i,b) range(i,0,b) #define pb(a) push_back(a) #define all(a) (a).begin(), (a),end() #define debug(x) cout << "debug " << x << endl; using namespace std; double dist(double x1, double y1, double x2, double y2){ return sqrt( ((x2 - x1) * (x2 - x1)) + ((y2 - y1) * (y2 - y1)) ); } double outputSin(double x, double y, double z){ return acos( (x * x + y * y - z * z) / (2 * x * y) ) ; } double inputXY(double x1, double y1, double x2, double y2, double x3, double y3){ double x, y ,z; x = dist(x1, y1, x2, y2); y = dist(x2, y2, x3, y3); z = dist(x3, y3, x1, y1); return outputSin(x, y, z); } int main(){ double x1, y1, x2, y2, x3, y3, x4, y4; char gar; while(cin >> x1 >> gar >> y1 >> gar >> x2 >> gar >> y2 >> gar >> x3 >> gar >> y3 >> gar >> x4 >> gar >> y4){ double a, b, c, d; a = inputXY(x1, y1, x2, y2, x3, y3); b = inputXY(x2, y2, x3, y3, x4, y4); c = inputXY(x3, y3, x4, y4, x1, y1); d = inputXY(x4, y4, x1, y1, x2, y2); if(abs(a + b + c + d - 2 * M_PI) < 0.00001) cout << "YES" << endl; else cout << "NO" << endl; } }
#include <iostream> #include <string> #include <algorithm> #include <cstdio> #include <vector> #include <cmath> #include <stack> #include <map> #include <sstream> #define REP(i, n) for(int i = 0;i < n;i++) #define REPR(i, n) for(int i = n;i >= 0;i--) using namespace std; bool cross(double x[], double y[]){ REP(i, 4){ double v1, v2, v3; v1 = (x[(i)%4]-x[(i+1)%4])*(y[(i)%4]-y[(i+3)%4]) - (y[(i)%4]-y[(i+1)%4])*(x[(i)%4]-x[(i+3)%4]); v2 = (x[(i+1)%4]-x[(i+2)%4])*(y[(i+1)%4]-y[(i+4)%4]) - (y[(i+1)%4]-y[(i+2)%4])*(x[(i+1)%4]-x[(i+4)%4]); v3 = (x[(i+2)%4]-x[(i+3)%4])*(y[(i+2)%4]-y[(i+5)%4]) - (y[(i+2)%4]-y[(i+3)%4])*(x[(i+2)%4]-x[(i+5)%4]); if ( !(v1 < 0 && v2 < 0 && v3 < 0) && !(v1 > 0 && v2 > 0 && v3 > 0) ) { return false; } } return true; } int main(){ double x[4], y[4]; while(scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf" ,&x[0],&y[0],&x[1],&y[1],&x[2],&y[2],&x[3],&y[3]) != EOF) { if (cross(x, y)) cout << "YES" << endl; else cout << "NO" << endl; } }
#include<iostream> #include<cmath> using namespace std; typedef double dbl; dbl x[4], y[4]; bool point(dbl x[], dbl y[], int n) { dbl nx[3], ny[3]; for (int i = 0, j = 0; i < 4; i++) { if (i != n) { nx[j] = x[i]; ny[j++] = y[i]; } } dbl S, s[3]; S = fabs((nx[1] - nx[0])*(ny[2] - ny[0]) - (ny[1] - ny[0])*(nx[2] - nx[0])) / 2.0; for (int i = 0; i < 3; i++) { nx[i] -= x[n]; ny[i] -= y[n]; } for (int i = 0; i < 3; i++) { s[i] = fabs(nx[i] * ny[(i + 1) % 3] - ny[i] * nx[(i + 1) % 3]) / 2.0; } if (fabs(S - s[0] - s[1] - s[2]) < 1e-10) return true; else return false; } int main() { char c; while (cin >> x[0] >> c >> y[0]) { int ok = 1; for (int i = 1; i < 4; i++) { cin >> c >> x[i] >> c >> y[i]; } for (int i = 0; i < 4; i++) { if (point(x, y, i)) { cout << "NO\n"; ok = 0; break; } } if(ok) cout << "YES\n"; } }
#include <iostream> #include <complex> using namespace std; constexpr double EPS = 1e-10; using Point = complex<double>; double cross(Point p, Point q) { return (conj(p) * q).imag(); } int main() { cin.tie(0); ios_base::sync_with_stdio(false); double a,b,c,d,e,f,g,h; char z; while(cin>>a>>z>>b>>z>>c>>z>>d>>z>>e>>z>>f>>z>>g>>z>>h) { Point p1(a,b),p2(c,d),p3(e,f),p4(g,h); if(cross(p3-p1,p2-p1)*cross(p4-p2,p3-p2) > 0 && cross(p1-p3,p4-p3) * cross(p2-p4, p1-p4) > 0){ cout << "YES" << '\n'; } else { cout << "NO" << '\n'; } } return 0; }
#include <iostream> using namespace std; class Vector2{ public: Vector2() : x( 0 ), y( 0 ){} Vector2( Vector2& a ){ x = a.x; y = a.y; } Vector2( Vector2& a, Vector2& b ){ x = b.x - a.x; y = b.y - a.y; } double cross( Vector2& a ){ return ( x * a.y ) - ( y * a.x ); } double x, y; }; int main(){ Vector2 a, b, c, d; char s; while ( cin >> a.x >> s >> a.y >> s >> b.x >> s >> b.y >> s >> c.x >> s >> c.y >> s >> d.x >> s >> d.y ){ Vector2 ab( a, b ), bc( b, c ), cd( c, d ), da( d, a ); double ap, bp, cp, dp; ap = da.cross( ab ); bp = ab.cross( bc ); cp = bc.cross( cd ); dp = cd.cross( da ); if ( ( ap > 0 && bp > 0 && cp > 0 && dp > 0 ) || ( ap < 0 && bp < 0 && cp < 0 && dp < 0 ) ){ cout << "YES" << endl; }else{ cout << "NO" << endl; } } return 0; }
#include <cstdio> using namespace std; int main() { double xs[4],ys[4],a,t; int p,np,ans; while(scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf",&xs[0],&ys[0],&xs[1],&ys[1],&xs[2],&ys[2],&xs[3],&ys[3])!=EOF){ ans=a=t=0; for(int i=0;i<4;i++){ p=(i+3)%4; np=(i+1)%4; t=(xs[i]-xs[p])*(ys[np]-ys[i])-(ys[i]-ys[p])*(xs[np]-xs[i]); if(a*t<0){ ans=1; break; } else{ a=t; } } if(ans==0){ printf("YES\n"); } else{ printf("NO\n"); } } return 0; }
#include <iostream> #define N 4 using namespace std; int main(){ double x[N], y[N]; char c; while(cin >> x[0] >> c >> y[0]){ for(int i = 1; i < N; i++){ cin >> c >> x[i] >> c >> y[i]; } double r[N][2], z[4]; for(int i = 0; i < N; i++){ r[i][0] = x[(i+1)%N] - x[i]; r[i][1] = y[(i+1)%N] - y[i]; } for(int i = 0; i < N; i++){ z[i] = r[i][0]*r[(i+1)%N][1]-r[(i+1)%N][0]*r[i][1]; } if(z[0]*z[1]*z[2]*z[3] > 0) cout << "YES" << endl; //??°???????¬????????????????????????°NO else cout << "NO" << endl; } return 0; }
#include <iostream> #include <cstdio> #include <complex> #define EPS 1e-10 #define EQ(a, b) (abs((a) - (b)) < EPS) using namespace std; typedef complex<double> P; double cross(P a, P b) { return(a.real() * b.imag() - a.imag() * b.real()); } int is_intersect(P a1, P a2, P b1, P b2) { return(cross(a2-a1, b1-a1) * cross(a2-a1, b2-a1) < EPS) && (cross(b2-a1, a1-b1) * cross(b2-b1, a2-b1) < EPS); } int main(void) { double xa, ya, xb, yb, xc, yc, xd, yd; while(scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf", &xa,&ya,&xb,&yb,&xc,&yc,&xd,&yd) != EOF) { P a(xa, ya), b(xb, yb), c(xc, yc), d(xd, yd); if(is_intersect(a, c, b, d) && is_intersect(b, d, a, c)) cout << "YES" << endl; else cout << "NO" << endl; } return(0); }
#include<cstdio> #include<cmath> int main(){ double x[4],y[4]; while(scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf\n",&x[0],&y[0],&x[1],&y[1],&x[2],&y[2],&x[3],&y[3])!=-1){ bool is=true; double radsum=0; for(int i=0;i<4;i++){ int a=i,b=(i+1)%4,c=(i+2)%4; radsum+=acos((pow(x[a]-x[b],2)+pow(y[a]-y[b],2)+pow(x[b]-x[c],2)+pow(y[b]-y[c],2)-pow(x[c]-x[a],2)-pow(y[c]-y[a],2))/(2*sqrt(pow(x[a]-x[b],2)+pow(y[a]-y[b],2))*sqrt(pow(x[b]-x[c],2)+pow(y[b]-y[c],2)))); } if(radsum<M_PI*2)printf("NO\n"); else printf("YES\n"); } }
#include<iostream> using namespace std; int main() { double xa, ya, xb, yb, xc, yc, xd, yd; char c; while (cin >> xa >> c >> ya >> c >> xb >> c >> yb >> c >> xc >> c >> yc >> c >> xd >> c >> yd) { double check1, check2; bool flg = false; check1 = (yb - ya) - (yc - ya) / (xc - xa) * (xb - xa); check2 = (yd - ya) - (yc - ya) / (xc - xa) * (xd - xa); if (check1 * check2 > 0) { //同じ側 flg = true; } check1 = (ya - yb) - (yd - yb) / (xd - xb) * (xa - xb); check2 = (yc - yb) - (yd - yb) / (xd - xb) * (xc - xb); if (check1 * check2 > 0) { //同じ側 flg = true; } if (flg == true) { cout << "NO" << endl; } else { cout << "YES" << endl; } } return 0; }
#include<iostream> #include<cstdio> #include<algorithm> #include<string> struct point{ double x; double y; }; using namespace std; int ch(point p1, point p2, point p3){ double dx1=p2.x-p1.x, dy1=p2.y-p1.y; double dx2=p3.x-p1.x, dy2=p3.y-p1.y; if(dx1*dy2>dx2*dy1) return 0; else return 1; } int main(){ point a,b,c,d; while(scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf",&a.x,&a.y,&b.x,&b.y,&c.x,&c.y,&d.x,&d.y)!=EOF){ //scanf("%d,%d,%d,%d,%d,%d,%d,%d",&a.x,&a.y,&b.x,&b.y,&c.x,&c.y,&d.x,&d.y); if(ch(a,c,b)!=ch(a,c,d) && ch(b,d,a)!=ch(b,d,c)) printf("YES\n"); else printf("NO\n"); } }
#include <cstdio> #include <vector> #include <algorithm> #include <cstring> #include <string> #include <cctype> #include <sstream> #include <cmath> #include <climits> #include <map> using namespace std; #define reep(i,f,n) for(int i=f; i<int(n); ++i) #define rep(i,n) reep(i,0,n) typedef vector<int> vi; int main() { double x[4], y[4]; while(1){ rep(i, 4){ if(scanf("%lf,%lf,", &x[i], &y[i]) == EOF) return 0; } bool ok = true; bool turn = true; rep(i, 4){ bool b = (x[(i+1)%4]-x[i])*(y[(i+2)%4]-y[i])-(y[(i+1)%4]-y[i])*(x[(i+2)%4]-x[i]) < 0.0; if(!i) turn = b; else if(turn^b){ ok = false; break; } } puts(ok ? "YES" : "NO"); } }
#include<iostream> #include<float.h> using namespace std; double pos[4][2]; int solve(){ double a, b, c, d; a = (pos[0][1] - pos[2][1])*(pos[1][0] - pos[0][0]); a -= (pos[0][0] - pos[2][0])*(pos[1][1] - pos[0][1]); b = (pos[0][1] - pos[2][1])*(pos[3][0] - pos[0][0]); b -= (pos[0][0] - pos[2][0])*(pos[3][1] - pos[0][1]); c = (pos[1][1] - pos[3][1])*(pos[0][0] - pos[1][0]); c -= (pos[1][0] - pos[3][0])*(pos[0][1] - pos[1][1]); d = (pos[1][1] - pos[3][1])*(pos[2][0] - pos[1][0]); d -= (pos[1][0] - pos[3][0])*(pos[2][1] - pos[1][1]); if(a*b<=0 && c*d<=0){ return true; }else{ return false; } } int main(){ int i, j; char comma; while(cin >> pos[0][0]){ cin >> comma >> pos[0][1]; for(i=1;i<4;i++){ for(j=0;j<2;j++){ cin >> comma >> pos[i][j]; } } if(solve()){ cout << "YES" << endl; }else{ cout << "NO" << endl; } } }
#include <iostream> #include <cstdio> #include <cmath> #define PI 3.1415926535898 #define EPS 1e-9 using namespace std; double calc(double a1,double a2,double b1,double b2){ return acos((a1 * b1 + a2 * b2) / sqrt(a1 * a1 + a2 * a2) / sqrt(b1 * b1 + b2 * b2)) * 180.0 / PI; } int main(){ double x1,y1,x2,y2,x3,y3,x4,y4; while(scanf("%lf,%lf,%lf,%lf,%lf,%lf,%lf,%lf",&x1,&y1,&x2,&y2,&x3,&y3,&x4,&y4) != EOF){ double c1,c2,c3,c4; c2 = calc(x1 - x2,y1 - y2,x3 - x2,y3 - y2); c3 = calc(x2 - x3,y2 - y3,x4 - x3,y4 - y3); c4 = calc(x3 - x4,y3 - y4,x1 - x4,y1 - y4); c1 = calc(x4 - x1,y4 - y1,x2 - x1,y2 - y1); if(abs(360.0 - (c1 + c2 + c3 + c4)) <= EPS) cout << "YES" << endl; else cout << "NO" << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; using db = double; using ll = long long; using vi = vector <int>; #define op operator #define pb push_back struct poi { db x, y; poi op -(poi p) { return {x - p.x, y - p.y}; } db cross(poi p) { return x * p.y - y * p.x; } }p[4]; db xmul(poi a, poi b, poi c) { return (b - a).cross(c - a); } int main() { ios :: sync_with_stdio(0); while(cin >> p[0].x) { char c; cin >> c >> p[0].y; for(int i = 1; i < 4; i ++) cin >> c >> p[i].x >> c >> p[i].y; int c1 = 0, c2 = 0; for(int i = 0; i < 4; i ++) if(xmul(p[i], p[(i + 1) % 4], p[(i + 2) % 4]) > 0) c1 ++; else c2 ++; cout << (!c1 || !c2 ? "YES" : "NO") << '\n'; } return 0; }
#include <cstdio> int main(){ int n,a[100]; while(scanf("%d",&n), n != 0){ for(int i = 0; i < n; i++){ scanf("%d",&a[i]); } int c = 0; for(int i = 0; i < n; i++){ for(int j = i + 1; j < n; j++){ if(a[i] > a[j]){ c++; } } } printf("%d\n",c); } return 0; }
#include <iostream> #include <string> #include <vector> using namespace std; int main() { int n; while (cin >> n, n) { vector<int> v(n); for (int i=0; i<n; ++i) { cin >> v[i]; } int res = 0; for (int i=0; i<n-1; ++i) { for (int j=0; j<n-1; ++j) { if (v[j] > v[j+1]) { swap(v[j], v[j+1]); res ++; } } } cout << res << endl; } return 0; }
#include<stdio.h> int n[1000001]={}; int main(){ int N; int c=0; while(1){ scanf("%d",&N); if(N==0)break; int c=0; for(int i=0;i<N;i++){ scanf("%d",&n[i]);} for(int i=0;i<N;i++) for(int j=N-1;j>i;j--) {if(n[j]<n[j-1]){int T=n[j];n[j]=n[j-1];n[j-1]=T;c++;} } printf("%d\n",c); for(int i=0;i<N;i++) n[i]=0; } return 0; }
#include<stdio.h> int BubbleSort(int [],int n); int main() { int n; int i; int A[110]; int cnt=0; while(scanf("%d",&n),n) { for(i=0;i < n;i++){ scanf("%d",&A[i]); } cnt = BubbleSort(A,n); printf("%d\n",cnt); } return 0; } int BubbleSort(int A[],int n) { int i,j; int cnt = 0; int temp; for(i=0;i < n;i++){ for(j=n-1;j > i;j--){ if(A[j-1] > A[j]){ temp = A[j-1]; A[j-1] = A[j]; A[j] = temp; cnt++; } } } /*for(i=0;i < n;i++){ if(i) printf(" "); printf("%d",A[i]); } printf("\n"); */ return cnt; }
#include <bits/stdc++.h> using namespace std; int main(void) { int n; while (cin >> n, n) { vector<int> a(n); for (int i = 0; i < n; i++) { cin >> a[i]; } int ans = 0; for (int i = 0; i < n - 1; i++) { for (int j = i + 1; j < n; j++) { if (a[j] < a[i]) { ans++; } } } cout << ans << endl; } return 0; }
#include<iostream> using namespace std; int main(){ int p; int n[1000000]; while(cin >> p, p){ int ans = 0; for(int i=0; i < p; i++){ cin >> n[i]; } for(int i=0; i < p; i++){ for(int j = 0; j < p-i-1; j++){ if(n[j] > n[j+1]){ swap(n[j], n[j+1]); ans++; } } } cout << ans << endl; } }
// 2011/01/12 Tazoe #include <iostream> using namespace std; int main() { while(true){ int n; cin >> n; if(n==0) break; int num[100]; for(int i=0; i<n; i++) cin >> num[i]; int cnt = 0; for(int i=n-1; i>=0; i--) for(int j=0; j<i; j++) if(num[j]>num[j+1]){ int tmp = num[j]; num[j] = num[j+1]; num[j+1] = tmp; cnt++; } cout << cnt << endl; } return 0; }
#include<iostream> #include<vector> int main(){ int n; while (std::cin >> n, n){ std::vector<int>size(n); for (int i = 0; i < n; i++){ std::cin >> size[i]; } int cnt=0; for (int i = 0; i < n; i++){ for (int j = 0; j < n-i-1; j++){ if (size[j]>size[j + 1]){ cnt++; std::swap(size[j], size[j + 1]); } } } std::cout << cnt << std::endl; } return 0; }
#include <iostream> #include <vector> #include <algorithm> using namespace std; #define REP(i,n) for(int i=0;i<n;i++) #define PP(m) REP(i, m.size()) cout << m[i] << endl; int main() { int N; while (cin >> N && N) { int c=0; vector<int> arr(N); REP(i, N) cin >> arr[i]; REP(i, N-1) { REP(j, N-i-1) { if (arr[j] > arr[j+1] && arr[j] != arr[j+1]) { swap(arr[j], arr[j+1]); c++; } } } cout << c << endl; } return 0; }
#include<iostream> #include<algorithm> using namespace std; int main(){ int n; while(cin>>n,n){ int a[100]; for(int i=0;i<n;i++)cin>>a[i]; int cnt=0; for(int i=n-1;i>0;i--) for(int j=0;j<i;j++) if(a[j]>a[j+1]){ swap(a[j],a[j+1]); cnt++; } cout<<cnt<<endl; } return 0; }
#include <iostream> using namespace std; int main(){ int n; while(cin >>n){ if(n==0) break; int a[n]; for(int i=0;i<n;i++) cin >> a[i]; int time=0; for(int i=0;i<n-1;i++){ for(int j=0;j<n-i-1;j++){ if(a[j]>a[j+1]){ int tmp; tmp=a[j]; a[j]=a[j+1]; a[j+1]=tmp; time++; } } } cout << time << endl; } }
#include <iostream> using namespace std; int main(){ int num; int n[100]={0}; while(cin >> num){ if(num==0)break; for(int i=0;i<num;++i) cin >> n[i]; int count=0; for(int i=0;i<num-1;++i){ for(int j=num-1;j>i;--j){ if(n[j]<n[j-1]){ int tmp = n[j]; n[j]=n[j-1]; n[j-1]=tmp; ++count; } } } cout << count << "\n"; } return 0; }
#include <iostream> #include <algorithm> using namespace std; int main(void){ int n,t; while(cin >> n && n){ int a[n]; int r=0; for(int i=0;i<n;i++){ cin >> a[i]; } for(int i=n-1;i>0;i--){ for(int j=1;j<=i;j++){ if(a[j-1]>a[j]){ swap(a[j-1],a[j]); r++; } } } cout << r << endl; } }
#include <bits/stdc++.h> using namespace std; int main(){ vector<int> list; int x,n,i,s,sum; while(1){ cin >> n; if(n==0){break;} for(i=0;i<n;i++){ cin >> x; list.push_back(x); } sum=0; i=0; for(int j=0; j<list.size()-1; j++){ for(i=0; i<list.size()-1; i++){ if(list[i]>list[i+1]){ s=list[i]; list[i]=list[i+1]; list[i+1]=s; sum++; } } } cout << sum << endl; list.clear(); } }
#include <iostream> #include <vector> #include <algorithm> // require sort next_permutation etc. //#include <fstream> // require freopen using namespace std; int main() { // cut here before submit // freopen ("testcase.bb", "r", stdin ); int n, m; while (cin >> n && n ){ vector <int> a(n); int res = 0; int i,j; for (i = 0; i < n; ++i ) { cin >> a[i]; } // /end for for (i = 0; i < n; ++i ) { for (j = 0; j < n - i - 1; ++j ) { if (a[j] > a[j+1] ) { swap (a[j], a[j+1] ); ++res; } // end for } // end for } // end for cout << res << endl; } // end loop return 0; }