Submission #570580

#	Time	Username	Problem	Language	Result	Execution time	Memory
570580		TheEccentricDuck	Mobile (BOI12_mobile)	C++17	0 / 100	627 ms	16616 KiB

mobile

//======================================================================================================================
// Name        : BOI12_MOBILE.cpp
// Author      : Jinchen Li
// Date Created: 5/30/2022
// Description : oj.uz, Mobile in C++, Ansi-style
//======================================================================================================================

// Directives
#include <algorithm>
#include <cmath>
#include <iomanip>
#include <iostream>
#include <vector>
#pragma GCC optimize ("Ofast")
#pragma GCC target ("avx,avx2")

// Main
int main() {
    // Initialisation
    std::ios::sync_with_stdio(false);
    std::cin.tie(nullptr);

    // Accepting Inputs
    int N;
    int L;
    std::cin >> N >> L;
    std::vector<double> x(N);
    std::vector<double> y(N);
    for (int i = 0; i < N; i++) {
        std::cin >> x[i] >> y[i];
    }

    // Processing Inputs
    double low = 1;
    double high = 1.5e9;
    while (high - low > 1e4) {
        double mid = (low + high) / 2;
        double cur = 0;
        for (int i = 0; i < N; i++) {
            double delta = std::sqrt(mid * mid - y[i] * y[i]);
            double a = x[i] - delta;
            double b = x[i] + delta;
            if (a <= cur) {
                cur = std::max(cur, b);
            }
        }

        if (cur >= L) {
            high = mid;
        }
        else {
            low = mid;
        }
    }

    // Printing Outputs
    std::cout << std::fixed << std::setprecision(4) << low;
}

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