#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; typedef vector VI; typedef vector VVI; typedef vector VS; typedef pair PII; typedef long long LL; #define FOR(i,a,b) for(int i=(a);i<(b);++i) #define REP(i,n) FOR(i,0,n) #define MP make_pair #define MT make_tuple #define EACH(i,c) for(auto i: c) #define SORT(c) sort((c).begin(),(c).end()) #define ALL(a) (a).begin(),(a).end() #define RALL(a) (a).rbegin(), (a).rend() #define E (0.0000000001) int main() { int C, D; cin >> C >> D; double left, right; left = 0; right = min(C / (3 / 4.0), D / (1 / 4.0)); auto f = [&](double A){ double B; B = min((C - A * (3 / 4.0)) / (2 / 7.0), (D - A * (1 / 4.0)) / (5 / 7.0)); return A * 1000 + B * 2000; }; while(right - left > E){ double left_third = left + (right - left) / 3; double right_third = right - (right - left) / 3; if(f(left_third) < f(right_third)){ left = left_third; } else{ right = right_third; } } printf("%.8f\n", f((left + right) / 2)); return 0; }