Submission #1031395

#	Time	Username	Problem	Language	Result	Execution time	Memory
1031395		Boas	Mobile (BOI12_mobile)	C++17	13 / 100	1083 ms	48232 KiB

mobile

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
using namespace __gnu_pbds;

#pragma GCC optimize("trapv")

template <typename T1, typename T2>
using indexed_map = tree<T1, T2, less<T1>, rb_tree_tag, tree_order_statistics_node_update>;
template <typename T>
using indexed_set = indexed_map<T, null_type>;

#define loop(x, i) for (int i = 0; i < (x); i++)
#define loop1(x, i) for (int i = 1; i <= (x); i++)
#define rev(x, i) for (int i = (int)(x) - 1; i >= 0; i--)
#define itloop(x) for (auto it = begin(x); x != end(x); it++)
#define itrev(x) for (auto it = rbegin(x); x != rend(x); it++)
// #define int long long
#define INF ((int64_t)(4e18 + 1))
#define INF32 ((int32_t)(2e9 + 1))
#define ALL(x) begin(x), end(x)
#define RALL(x) rbegin(x), rend(x)
#define existsIn(x, l) (count(ALL(l), x) > 0)
#define removeIn(x, l) l.erase(find(ALL(l), x))
#define pb push_back
#define sz(x) (int)(x).size()
#define x first
#define y second
#define var const auto &
#define foreach(l) for (var e : l)

typedef pair<int, int> ii;
typedef tuple<int, int, int> iii;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<ii> vii;
typedef vector<iii> viii;
typedef vector<vii> vvii;
typedef vector<viii> vviii;
typedef set<int> si;
typedef set<ii> sii;
typedef set<iii> siii;
typedef vector<si> vsi;
typedef vector<sii> vsii;
typedef vector<vsi> vvsi;
typedef vector<string> vstr;
typedef vector<vector<string>> vvstr;
typedef vector<bool> vb;
typedef vector<vb> vvb;
typedef vi::iterator viit;
typedef si::iterator siit;
typedef int8_t in8;
typedef int16_t in16;
typedef int32_t in32;
typedef int64_t in64;

typedef double ld;
typedef vector<pair<ld, ld>> vff;
// ld eps = 4e-4; // 13pt
ld eps = 1e-5; // 13pt
// ld eps = 1e-18; // 4pt: TLE

void solve()
{
    int N;
    ld L;
    cin >> N >> L;
    vff a(N);
    loop(N, i)
    {
        cin >> a[i].x >> a[i].y;
    }
    ld lo = 0.0L, hi = 5e9L;
    while (hi - lo > eps)
    {
        ld R = lo + (hi - lo) / 2.0L;
        vff segments;
        loop(N, i)
        {
            auto [x, y] = a[i];
            ld D = R * R - (ld)y * (ld)y;
            if (D >= 0.0L)
            {
                ld l = x - sqrt(D);
                ld r = x + sqrt(D);
                segments.pb({l, r});
            }
            else if (D + eps >= 0.0L)
            {
                ld l = x;
                ld r = x;
                segments.pb({l, r});
            }
        }
        if (segments.empty())
        {
            lo = R;
            continue;
        }
        sort(ALL(segments));
        bool highwayCovered = 1;
        ld l = segments[0].first, r = segments[0].second;
        if (l > eps)
            highwayCovered = 0;
        else
        {
            for (auto [l_i, r_i] : segments)
            {
                if (l_i > r + eps)
                {
                    highwayCovered = 0;
                    break;
                }
                r = max(r, r_i);
            }
        }
        if (r + eps < L)
            highwayCovered = 0;
        if (highwayCovered)
        {
            hi = R;
        }
        else
            lo = R;
    }
    ld res = lo + (hi - lo) / 2.0L;
    cout << fixed << setprecision(4) << res << endl;
}

signed main()
{
    cin.tie(0)->sync_with_stdio(0);
    solve();
}

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