#ifdef LOCAL111 #else #define NDEBUG #endif #include const int INF = 1e9; using namespace std; template ostream& operator<< (ostream& os, const pair& p) { cout << '(' << p.first << ' ' << p.second << ')'; return os; } #define endl '\n' #define ALL(a) (a).begin(),(a).end() #define SZ(a) int((a).size()) #define FOR(i,a,b) for(int i=(a);i<(b);++i) #define RFOR(i,a,b) for (int i=(b)-1;i>=(a);i--) #define REP(i,n) FOR(i,0,n) #define RREP(i,n) for (int i=(n)-1;i>=0;i--) #define RBP(i,a) for(auto& i : a) #ifdef LOCAL111 #define DEBUG(x) cout<<#x<<": "<<(x)< void dpite(T a, T b){ for(T ite = a; ite != b; ite++) cout << (ite == a ? "" : " ") << *ite; cout << endl;} #else #define DEBUG(x) true template void dpite(T a, T b){ return; } #endif #define F first #define S second #define SNP string::npos #define WRC(hoge) cout << "Case #" << (hoge)+1 << ": " #define rangej(a,b,c) ((a) <= (c) and (c) < (b)) #define rrangej(b,c) rangej(0,b,c) template void pite(T a, T b){ for(T ite = a; ite != b; ite++) cout << (ite == a ? "" : " ") << *ite; cout << endl;} template bool chmax(T& a, T b){if(a < b){a = b; return true;} return false;} template bool chmin(T& a, T b){if(a > b){a = b; return true;} return false;} typedef long long int LL; typedef unsigned long long ULL; typedef pair P; typedef pair LP; void ios_init(){ //cout.setf(ios::fixed); //cout.precision(12); #ifdef LOCAL111 return; #endif ios::sync_with_stdio(false); cin.tie(0); } template long long gcd(T x, T y){ return y==0 ? x : gcd(y, x%y); } //res.first*a+res.second*b == 1 となるresを返す (a,bは互いに素) pair extgcd(long long a,long long b) { if(b==1){ return pair(0,1); } pair t=extgcd(b,a%b); return pair(t.second,t.first-a/b*t.second); } P solve(LL x0, LL y0, LL x1, LL y1){ LL c = x0-x1; LL a = y0; LL b = -y1; if(c < 0){ a = -a; b = -b; } int sm0 = 1; int sm1 = 1; if(a < 0){ sm0 = -1; } if(b < 0){ sm1 = -1; } DEBUG(a); DEBUG(b); DEBUG(c); LL g = gcd(sm0*a,sm1*b); if(c != 0){ if(c%g != 0){ return {-1,-1}; } auto ps = extgcd(sm0*a/g,sm1*b/g); ps.F *= sm0*c/g; ps.S *= sm1*c/g; DEBUG(ps.F); DEBUG(ps.S); LL ho = sm1*b/g; LL ge = ps.F; return {ho*y0,x0+y0*ge}; }else{ return {y0*sm1*b/g,x0}; } } int main() { ios_init(); int x[3], y[3]; while(cin >> x[0] >> y[0]) { REP(i,2) cin >> x[i+1] >> y[i+1]; auto s1 = solve(x[0],y[0],x[1],y[1]); // cout << s1.F << ' ' << s1.S << endl; if(s1.F == -1){ cout << -1 << endl; continue; } auto s2 = solve(s1.S,s1.F,x[2],y[2]); if(s2.F == -1){ cout << -1 << endl; continue; } // cout << s2.F << ' ' << s2.S << endl; cout << (s2.S%s2.F+s2.F)%s2.F << endl; // cout << endl << endl << endl; } return 0; }