Submission #310513

#	Time	Username	Problem	Language	Result	Execution time	Memory
310513		vishnu_sujith	Mobile (BOI12_mobile)	C++17	12 / 100	398 ms	11512 KiB

mobile

#include <bits/stdc++.h>

using namespace std;

#ifdef DEBUG
#define LOG(...) cerr << "[" << #__VA_ARGS__ << "]: " << repr(__VA_ARGS__) << endl;
#define MSG(args) cerr << args << "\n";
#define debug(x) x
#else
#define LOG(...)
#define MSG(args)
#define debug(x)
#endif

#define vi vector<int>
#define ii pair<int, int>
#define vii vector< ii >
#define vvi vector< vi >
#define mp make_pair
#define pb push_back
#define sz(x) (int)((x).size())
#define ms(x, v) memset((x), v, sizeof(x))
#define all(x) (x).begin(), (x).end()
#define REP(x, n) for(int x = 0; x < n; x++)
#define REPV(x, v, n) for(int x = v; x < n; x++)
#define REVE(x, n) for(int x = n; x >= 0; x--)

typedef long long ll;

int N, L;
ii pos[1000010];

bool can(double d)
{
    double cover = 0.0;
    REP(i, N)
    {
	double dist = sqrt(d * d - pos[i].second * pos[i].second);
	double lft = pos[i].first - dist, rgt = pos[i].first + dist;
	if(lft <= cover)
	    cover = max(cover, rgt);
    }
    return cover >= L;
}

int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    cin >> N >> L;
    REP(i, N)
	cin >> pos[i].first >> pos[i].second;
    double lo = 1.0, hi = 1e9;
    while(hi - lo > 1e-3)
    {
	double mid = (lo + hi) / 2.0;
	if(can(mid))
	    hi = mid;
	else
	    lo = mid;
    }
    cout.precision(7);
    cout << fixed << lo << "\n";
    return 0;
}

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