//#include #include using namespace std; using lint = long long; constexpr lint mod = 1e9 + 7; #define all(x) begin(x), end(x) #define bitcount(n) __builtin_popcountll((lint)(n)) #define fcout cout << fixed << setprecision(15) #define highest(x) (63 - __builtin_clzll(x)) #define rep(i, n) for(int i = 0; i < int(n); i++) #define rep2(i, l, r) for(int i = int(l); i < int(r); i++) #define repr(i, n) for(int i = int(n) - 1; i >= 0; i--) #define repr2(i, l, r) for(int i = int(r) - 1; i >= int(l); i--) #define accumulate you cannot use this word! constexpr int inf9 = 1e9; constexpr lint inf18 = 1e18; inline void Yes(bool condition){ if(condition) cout << "Yes" << endl; else cout << "No" << endl; } template void array_output(itr start, itr goal){ for(auto i = start; i != goal; i++) cout << (i == start ? "" : " ") << (*i); cout << endl; } template void cins(itr first, itr last){ for(auto i = first; i != last; i++){ cin >> (*i); } } template T gcd(T a, T b){ if(b) return gcd(b, a % b); else return a; } template T lcm(T a, T b){ return a / gcd(a, b) * b; } template bool chmax(T &a, const T &b){ if(a < b){ a = b; return 1; } return 0; } template bool chmin(T &a, const T &b){ if(b < a){ a = b; return 1; } return 0; } inline int has(lint i, int j){ return (i >> j) & 1; } int dy[4] = {1, 0, -1, 0}; int dx[4] = {0, 1, 0, -1}; bool is_inside(lint y, lint x, lint H, lint W){ return (0 <= y && y < H && 0 <= x && x < W); } struct io_init { io_init() { cin.tie(nullptr); cout.tie(nullptr); std::ios::sync_with_stdio(false); } } io_init; tuple extgcd(lint a, lint b){ if(b == 0){ return {1, 0, a}; } auto [x, y, g] = extgcd(b, a % b); return {y, x - (a / b) * y, g}; } lint signed_mod(lint x, lint modulo) { return (x % modulo + modulo) % modulo; } //tuple IndeterminateEquation(lint a, lint b, lint c){ // return: x, y, is_valid // auto [x, y, g] = extgcd(a, b); // if(c % g != 0) return {0, 0, false}; // // x *= c / g; // y *= c / g; // // assert(a * x + b * y == c); // return {x, y, true}; //} pair CRT(lint a1, lint m1, lint a2, lint m2){ // return: a, m a1 = signed_mod(a1, m1); a2 = signed_mod(a2, m2); auto [b, c, g] = extgcd(m1, m2); if(a1 % g != a2 % g) return {-1, -1}; lint m = m1 / g * m2; lint tmp = ((a2 - a1) / g) * b % (m2 / g); lint a = tmp * m1 + a1; a = signed_mod(a, m); return {a, m}; } int main(){ lint x1, y1, x2, y2, x3, y3; cin >> x1 >> y1 >> x2 >> y2 >> x3 >> y3; auto [x12, y12] = CRT(x1, y1, x2, y2); if(x12 == -1){ cout << -1 << endl; return 0; } auto [x123, y123] = CRT(x12, y12, x3, y3); if(x123 == -1){ cout << -1 << endl; return 0; } if(x123 == 0) x123 += y123; assert(1 <= x123 && x123 <= y123); cout << x123 << endl; }