feat(cses): a few problems

kattis/18-2-2025/k.cc

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