Submission #967271

#TimeUsernameProblemLanguageResultExecution timeMemory
967271v_mateiMobile (BOI12_mobile)C++17
100 / 100
956 ms63932 KiB
        #include <bits/stdc++.h>
        #include <cmath>
        #include <iomanip>
         
        #define ll long long
        #define ull unsigned long long
        #define pdd std::pair<double, double>
         
        #define NMAX 1e6
        #define INF 2e9
         
        struct Tower {
          double x, y;
        };
        struct Seg {
          double st, fn;
        };
        double n, l;
        std::vector<Tower> s;
         
        void citire() {
          std::cin >> n >> l;
          s.resize(n);
          for (int i = 0; i < n; i++) {
            std::cin >> s[i].x >> s[i].y;
          }
        }
         
        double b_search(double lo, double hi, std::function<bool(double)> f) {
          for (int i = 1; hi - lo > 0.001; i++) {
            double mid = (lo + hi) / 2;
            if (f(mid))
              hi = mid;
            else
              lo = mid;
          }
          return lo;
        }
         
        bool find_point(double k) {
          std::vector<Seg> segs;
          for (Tower &it : s) {
            if (k * k < it.y * it.y)
              continue;
            double max_dx = sqrt(k * k - it.y * it.y);
            segs.push_back({it.x - max_dx, it.x + max_dx});
            if (segs.back().st < 0 && segs.back().fn > l)
              return 1;
          }
          double pre = 0;
          for (Seg &it : segs) {
            if (pre >= l)
              return 1;
            if (pre >= it.st)
              pre = std::max(pre, it.fn);
          }
          return pre > l;
        }
         
        int main() {
          std::ios::sync_with_stdio(0);
          std::cin.tie(0);
          std::cout.tie(0);
          citire();
          double k = b_search(0, INF, find_point);
          std::cout << std::fixed << std::setprecision(10) << k;
          return 0;
        }
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