#include using namespace std; typedef signed long long ll; #define _P(...) (void)printf(__VA_ARGS__) #define FOR(x,to) for(x=0;x<(to);x++) #define FORR(x,arr) for(auto& x:arr) #define FORR2(x,y,arr) for(auto& [x,y]:arr) #define ALL(a) (a.begin()),(a.end()) #define ZERO(a) memset(a,0,sizeof(a)) #define MINUS(a) memset(a,0xff,sizeof(a)) template bool chmax(T &a, const T &b) { if(a bool chmin(T &a, const T &b) { if(a>b){a=b;return 1;}return 0;} //------------------------------------------------------- ll X[4],Y[4]; pair,pair> circumcenter(ll ax,ll ay,ll bx,ll by,ll cx,ll cy) { //外心を有理数で ll A2=(cx-bx)*(cx-bx)+(cy-by)*(cy-by); ll B2=(cx-ax)*(cx-ax)+(cy-ay)*(cy-ay); ll C2=(bx-ax)*(bx-ax)+(by-ay)*(by-ay); ll px=A2*(B2+C2-A2)*ax+B2*(A2+C2-B2)*bx+C2*(A2+B2-C2)*cx; ll py=A2*(B2+C2-A2)*ay+B2*(A2+C2-B2)*by+C2*(A2+B2-C2)*cy; ll qx=A2*(B2+C2-A2)+B2*(A2+C2-B2)+C2*(A2+B2-C2); ll qy=A2*(B2+C2-A2)+B2*(A2+C2-B2)+C2*(A2+B2-C2); if(qx==0) { return {{-1LL<<60,-1LL<<60},{-1LL<<60,-1LL<<60}}; } ll gx=__gcd(abs(px),abs(qx)); px/=gx; qx/=gx; ll gy=__gcd(abs(py),abs(qy)); py/=gy; qy/=gy; return {{px,qx},{py,qy}}; } void solve() { int i,j,k,l,r,x,y; string s; FOR(i,4) cin>>X[i]>>Y[i]; auto p=circumcenter(X[0],Y[0],X[1],Y[1],X[2],Y[2]); auto q=circumcenter(X[0],Y[0],X[1],Y[1],X[3],Y[3]); if(p.first.first!=-1LL<<60&&p==q) { cout<<"YES"<