#include #include #include #include #include #include #include #include #include #include #include #include #include #define debug_value(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << #x << "=" << x << endl; #define debug(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << x << endl; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } using namespace std; typedef long long ll; template vector> vec2d(int n, int m, T v){ return vector>(n, vector(m, v)); } template vector>> vec3d(int n, int m, int k, T v){ return vector>>(n, vector>(m, vector(k, v))); } template void print_vector(vector v, char delimiter=' '){ if(v.empty()) { cout << endl; return; } for(int i = 0; i+1 < v.size(); i++) cout << v[i] << delimiter; cout << v.back() << endl; } void test(){ int p = 90007; int r = 10; set st; int cur = 1; while(true){ if(st.count(cur)) break; st.insert(cur); cur *= 10; cur %= p; } debug_value(st.size()) } ll f(string s, ll p){ ll ans = 0; for(int i = 0; i < s.size(); i++){ ans *= 10; ans += s[i]-'0'; ans %= p; } return ans; } int main(){ ios::sync_with_stdio(false); cin.tie(0); cout << setprecision(10) << fixed; ll p, q, x, y; cin >> p >> q >> x >> y; while(y%10 == 0) y += q; auto s = to_string(y); auto ans = s; reverse(ans.begin(), ans.end()); ll cur = stoll(ans); if(cur%p == 0){ y += q; while(y%10 == 0) y += q; auto s = to_string(y); ans = s; reverse(ans.begin(), ans.end()); cur = stoll(ans); } while(cur%p != x){ cur *= 10; cur %= p; ans += '0'; } cout << ans << endl; assert(f(ans, p) == x); reverse(ans.begin(), ans.end()); assert(f(ans, q) == y%q); }