#include using namespace std; typedef long long ll; typedef pair p_ll; template void debug(T itr1, T itr2) { auto now = itr1; while(now=0; i--) const ll MOD = pow(10,9)+7; const ll LLINF = pow(2,61)-1; const int INF = pow(2,30)-1; vector fac; void c_fac(int x=pow(10,6)+10) { fac.resize(x,true); rep(i,x) fac[i] = i ? (fac[i-1]*i)%MOD : 1; } ll inv(ll a, ll m=MOD) { ll b = m, x = 1, y = 0; while (b!=0) { int d = a/b; a -= b*d; swap(a,b); x -= y*d; swap(x,y); } return (x+m)%m; } ll nck(ll n, ll k) { return fac[n]*inv(fac[k]*fac[n-k]%MOD)%MOD; } ll gcd(ll a, ll b) { if (a> a >> b >> c >> d; if (a<0||(a==0&&b<0)) { a*=-1; b*=-1; } if (c<0||(c==0&&d<0)) { c*=-1; d*=-1; } ll N; cin >> N; ll x[N], y[N]; rep(i,N) cin >> x[i] >> y[i]; set coord; if (a*d-b*c==0) { if (a==0) { swap(a,b); swap(c,d); rep(i,N) swap(x[i],y[i]); } ll g = gcd(a,c); b = b * g/a; a = g; rep(i,N) { ll xp = (x[i]%a+a) % a; ll yp = y[i] + (xp-x[i])/a*b; coord.insert(make_pair(xp,yp)); // cout << xp << "," << yp << endl; } } else { ll n = abs(a*d-b*c); rep(i,N) { ll xp = ((d*x[i]-c*y[i])%n+n) % n; ll yp = ((a*y[i]-b*x[i])%n+n) % n; coord.insert(make_pair(xp,yp)); // cout << xp << "," << yp << endl; } } ll result = coord.size(); cout << result << endl; return 0; }