Submission #817133

#	Time	Username	Problem	Language	Result	Execution time	Memory
817133		MisterReaper	Mobile (BOI12_mobile)	C++17	0 / 100	348 ms	35276 KiB

mobile

// author: MisterReaper (Ahmet Alp Orakci)
#include <bits/stdc++.h>
using namespace std;
#define int long long

#define ONLINE_JUDGE
#ifndef ONLINE_JUDGE
    #include "debug.h"
    #define OPEN freopen(".in", "r", stdin); freopen(".out", "w", stdout);
    #define TIME cerr << "\n" << fixed << setprecision(2) << 1000.0 * clock() / CLOCKS_PER_SEC << " milliseconds ";
#else
    #define debug(...) void(23)
    #define debugarr(...) void(23)
    #define OPEN void(0000)
    #define TIME void(232323233)
#endif

void solve()
{
    int n, m; cin >> n >> m;
    pair <int, int> arr[n];
    for(auto &i : arr) cin >> i.first >> i.second;

    auto check = [&](double mid) -> bool
    {
        double cur = 0;;
        for(auto &i : arr)
        {
            double delta = sqrt(mid * mid - i.second * i.second);
            double nl = i.first - delta;
            if(nl <= cur) cur = i.first + delta;
        }
        return (m <= cur);
    };

    double l = 1, r = 1.5e9, res = 0;
    while((r - l) >= 1e-3)
    {
        double mid = l + (r - l) / 2;
        if(check(mid))
        {
            r = mid;
            res = mid;
        }
        else l = mid;
    }

    cout << fixed << setprecision(6) << res;
    
    return;
}

int32_t main()
{
    OPEN;

    ios_base::sync_with_stdio(false);
    cin.tie(NULL); cout.tie(NULL);

    int t = 1; //cin >> t;
    while(t--)
    {
        solve();
    }

    TIME;

    return 0;
}

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