99 lines
1.9 KiB
C++
99 lines
1.9 KiB
C++
#include <bits/stdc++.h> // {{{
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// https://codeforces.com/blog/entry/96344
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#pragma GCC optimize("O2,unroll-loops")
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#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
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using namespace std;
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template <typename T>
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constexpr T MIN = std::numeric_limits<T>::min();
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template <typename T>
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constexpr T MAX = std::numeric_limits<T>::max();
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template <typename T>
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[[nodiscard]] static T sc(auto&& x) {
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return static_cast<T>(x);
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}
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template <typename T>
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[[nodiscard]] static T sz(auto&& x) {
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return static_cast<T>(x.size());
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}
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template <typename... Args>
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void pr(std::format_string<Args...> fmt, Args&&... args) {
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std::print(fmt, std::forward<Args>(args)...);
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}
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template <typename... Args>
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void pr(std::format_string<Args...> fmt) {
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std::print(fmt);
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}
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template <typename... Args>
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void prln(std::format_string<Args...> fmt, Args&&... args) {
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std::println(fmt, std::forward<Args>(args)...);
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}
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template <typename... Args>
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void prln(std::format_string<Args...> fmt) {
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std::println(fmt);
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}
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void prln() {
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std::println();
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}
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void prln(auto const& t) {
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std::println("{}", t);
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}
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#ifdef LOCAL
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#define dbgln(...) prln(...)
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#define dbg(...) pr(...)
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#endif
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using ll = long long;
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using ld = long double;
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template <typename T>
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using vec = std::vector<T>;
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template <typename T, size_t N>
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using arr = std::array<T, N>;
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#define ff first
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#define ss second
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#define eb emplace_back
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#define pb push_back
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#define all(x) (x).begin(), (x).end()
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#define rall(x) (x).rbegin(), (x).rend()
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// }}}
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void solve() {
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ld w, g, h, r;
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cin >> w >> g >> h >> r;
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auto dist = [](ld x1, ld y1, ld x2, ld y2) {
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return sqrtl((y2 - y1) * (y2 - y1) + (x2 - x1) * (x2 - x1));
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};
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ld x_star = w * (g - r) / (g + h - 2 * r);
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ld min_dist = dist(0, g, x_star, r) + dist(x_star, r, w, h);
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printf("%.7LF %.7LF\n", dist(0, g, w, h), min_dist);
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}
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int main() { // {{{
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cin.tie(nullptr)->sync_with_stdio(false);
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int t = 1;
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cin >> t;
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while (t--) {
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solve();
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}
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return 0;
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}
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// }}}
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