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- // Those who cannot remember the past are
- // condemned to repeat it (use DP -_-)
- // - George Santayana
- #include <bits/stdc++.h>
- #include <ext/pb_ds/assoc_container.hpp>
- #include <ext/pb_ds/tree_policy.hpp>
- using namespace std;
- using namespace __gnu_pbds;
- #define all(v) v.begin(), v.end()
- #define rall(v) v.rbegin(), v.rend()
- #define ll long long
- #define ull unsigned long long
- #define MOD 1000000007
- #define PI acos(-1)
- #define ceil(a, b) (((a) / (b)) + ((a) % (b) ? 1 : 0))
- #define imin INT_MIN
- #define imax INT_MAX
- #define llmax LLONG_MAX
- #define llmin LLONG_MIN
- #define inf 2000000000
- #define nl '\n'
- #define ppcnt __builtin_popcount
- #define ppcntll __builtin_popcountll
- #define clz __builtin_clz
- #define clzll __builtin_clzll
- #define ctz __builtin_ctz
- #define ctzll __builtin_ctzll
- #define modulo(a, b, mod) ((((a) % (mod)) + ((b) % (mod))) % (mod))
- #define cnte(v, x) count(all(v), (x))
- //#define mine(v) min_element(all(v))
- #define maxe(v) max_element(all(v))
- #define updmin(a, b) a = min(a, b)
- #define updmax(a, b) a = max(a, b)
- #define findmod(x, m) x = ((x) % (m) + (m)) % m
- #define getmod(x, m) ((x) % (m) + (m)) % (m)
- #define debug(x) cout << "x: " << (x) << nl;
- #define debug2(x, y) cout << "x: " << (x) << " y: " << y << nl;
- #define ordered_set tree<int, null_type, less<>, rb_tree_tag, tree_order_statistics_node_update>
- #define ordered_map tree<int, int, less<>, rb_tree_tag, tree_order_statistics_node_update>
- //vector<int> dx = {0, 0, 1, -1, 1, 1, -1, -1}, dy = {1, -1, 0, 0, 1, -1, 1, -1};
- //vector<int> dx = {0, 0, 1, -1}, dy = {1, -1, 0, 0};
- template<typename T = int> istream& operator>>(istream& in, vector<pair<int, int>>& v){
- for (auto& [x, y] : v) in >> x >> y;
- return in;
- }
- template<typename T = int> istream& operator>>(istream& in, vector<T>& v){
- for (T& i : v) in >> i;
- return in;
- }
- template<typename T = int> ostream& operator<<(ostream& out, const vector<T>& v){
- for (const T& x : v)
- out << x << ' ';
- return out;
- }
- template<typename T = pair<int, int>> ostream& operator << (ostream& out, const vector<pair<int, int>>& v){
- for(auto& [x, y] : v){
- out << x << ' ' << y << nl;
- }
- return out;
- }
- void Start_Crushing() {
- ios_base::sync_with_stdio(false);
- cin.tie(nullptr);
- cout.tie(nullptr);
- #ifndef ONLINE_JUDGE
- freopen("input.txt", "r", stdin);
- freopen("output.txt", "w", stdout);
- #endif
- }
- // check the test cases
- // remember to comment the files I/O
- ll bs(ll x, ll y, ll cnt, ll n, ll m){
- ll l = 1, r = 1e16, ans = -1;
- while(l <= r){
- ll mid = (l + r) >> 1LL;
- ll cur = min(n, (mid / x)) + min(m, (mid / y));
- if(cur >= cnt)
- ans = mid, r = mid - 1;
- else
- l = mid + 1;
- }
- return ans;
- }
- void solve(){
- ll n, x; cin >> n >> x;
- ll m, y; cin >> m >> y;
- ll len = (n + m + 1) >> 1LL;
- double ans = bs(x, y, len, n, m);
- cout << fixed << setprecision(1);
- if((n + m) % 2LL == 0LL) {
- ans += 1.0 * bs(x, y, len + 1, n, m);
- cout << ans / 2.0 << '\n';
- }else
- cout << ans << '\n';
- }
- void set_file(string& file_name){
- freopen((file_name + ".in").c_str(), "r", stdin);
- freopen((file_name + ".out").c_str(), "w", stdout);
- }
- int main(){
- Start_Crushing();
- // string file_name = "family";
- // set_file(file_name);
- int t = 1;
- // /*Multiple test cases?*/ cin >> t;
- while (t--) {
- solve();
- // if(!t)
- // break;
- cout << nl;
- }
- // for(int tc = 1; tc <= t; tc++){
- // cout << "Case " << tc << ": ";
- // solve();
- //// if(tc != t)
- // cout << nl;
- // }
- return 0;
- }
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