/** * author: shu8Cream * created: 22.01.2023 14:57:00 **/ #include using namespace std; #define overload3(a,b,c,d,...) d #define rep1(i,n) for (int i=0; i<(n); i++) #define rep2(i,a,n) for (int i=(a); i<(n); i++) #define rep(...) overload3(__VA_ARGS__, rep2, rep1)(__VA_ARGS__) #define rrep1(i,n) for (int i=(n-1); i>=0; i--) #define rrep2(i,a,n) for (int i=(n-1); i>=(a); i--) #define rrep(...) overload3(__VA_ARGS__, rrep2, rrep1)(__VA_ARGS__) #define all(x) (x).begin(), (x).end() #define rall(x) (x).rbegin(), (x).rend() #define sz(x) int((x).size()) #define pcnt __builtin_popcountll using ll = long long; using P = pair; template using vc = vector; template using vv = vc>; using vi = vc; using vvi = vv; const int INF = 1e9; const ll LINF = 8e18; templateistream& operator>>(istream&i,vc&v){rep(j,sz(v))i>>v[j];return i;} templatestring join(const T&v,const string& d=""){stringstream s;rep(i,sz(v))(i?s<ostream& operator<<(ostream&o,const vc&v){if(sz(v))o<istream& operator>>(istream&i,pair&v){return i>>v.first>>v.second;} templateostream& operator<<(ostream&o,const pair&v){return o< inline bool chmax(T& a, T b) {if(a inline bool chmin(T& a, T b) {if(a>b) { a=b;return true; } return false;} template string to_string(T s); template string to_string(pair p); string to_string(char c) { return string(1, c); } string to_string(string s) { return s; } string to_string(const char s[]) { return string(s); } template string to_string(T v) { if (v.empty()) return "{}"; string ret = "{"; for (auto x : v) ret += to_string(x) + ","; ret.back() = '}'; return ret; } template string to_string(pair p) { return "{" + to_string(p.first) + ":" + to_string(p.second) + "}"; } void debug_out() { cout << endl; } template void debug_out(Head H, Tail... T) { cout << to_string(H) << " "; debug_out(T...); } #ifdef _DEBUG #define debug(...) debug_out(__VA_ARGS__) #else #define debug(...) #endif inline ll mod(ll a, ll m){ return (a%m + m) % m; } // return x,y,g s.t. ax + by = gcd(a,b) tuple extgcd(ll a, ll b){ if(a == 0) return {0, 1, b}; auto[x,y,g] = extgcd(b%a, a); return {y-b/a*x, x, g}; } pair ChineseRem(vi &b, vi &m){ ll r = 0, M = 1; rep(i,sz(b)){ auto[p,q,d] = extgcd(M,m[i]); if((b[i] - r)%d) return {0,-1}; ll tmp = (b[i] - r)/d * p % (m[i]/d); r += M * tmp; M *= m[i]/d; } return {mod(r,M),M}; } void YUKI186(){ ll n = 3; vi x(n),y(n); rep(i,n) cin >> x[i] >> y[i]; auto[r,M] = ChineseRem(x,y); if(M==-1) r = -1; else if(r==0) r = M; cout << r << endl; } int main() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); YUKI186(); }