Submission #1290604

#TimeUsernameProblemLanguageResultExecution timeMemory
1290604goppamachMobile (BOI12_mobile)C++20
45 / 100
1096 ms16016 KiB
// #pragma GCC optimize("Ofast")

#include <bits/stdc++.h>

using namespace std;

#define el "\n"
#define pii pair<int, int>
#define pll pair<ll, ll>
#define fi first
#define se second
#define sqr(x) ((x) * (x))
#define FOR(i, l, r) for (int i = l; i <= (r); i++)
#define FOD(i, l, r) for (int i = l; i >= (r); i--)
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define sz(x) ((int)(x).size())
#define fast_io ios_base::sync_with_stdio(false); cin.tie(nullptr);

using db = long double;
using ll = long long;
using ull = unsigned long long;
using vi = vector<int>;
using vll = vector<ll>;
using vpii = vector<pii>;
using vpll = vector<pll>;
using vvi = vector<vi>;
using vvll = vector<vll>;
using vbool = vector<bool>;
using vvbool = vector<vbool>;

template<class T> inline bool chmax(T &a, T const &b) { return (a < b ? (a = b, true) : false); }
template<class T> inline bool chmin(T &a, T const &b) { return (a > b ? (a = b, true) : false); }

// #define DEBUG
#ifdef DEBUG
#include "D:\cpp\debug.h"
#else
#define debug(...)
#define debug_arr(...)
#endif

mt19937 rng((uint32_t)chrono::steady_clock::now().time_since_epoch().count());

constexpr int N = 1E6 + 5;
constexpr double MAX = 2E9;
constexpr double EPS = 1E-8;
constexpr int PRECISION = 6;

struct Point {
    ll x, y;
    Point() = default;
    Point(ll x, ll y): x(x), y(y) {}
} points[N];
int n, L;

bool check(double radius) {
    double curr = 0;
    FOR(i, 1, n) {
        double delta = sqrt(sqr(radius) - sqr(points[i].y));
        double l = points[i].x - delta, r = points[i].x + delta;
        if (l <= curr) chmax(curr, r);
    }
    return curr >= L;
}

void solve() {
    cin >> n >> L;

    FOR(i, 1, n) {
        cin >> points[i].x >> points[i].y;
    }

    double l = 1, r = MAX;
    while (r - l > EPS) {
        double m = (l + r) / 2;
        if (check(m)) {
            r = m;
        } else {
            l = m;
        }
    }

    cout << fixed << setprecision(PRECISION) << l << el;
}

int main() {
    fast_io
    #define LOCAL
    #ifndef LOCAL
    #define PROBLEM ""
    freopen(PROBLEM ".INP", "r", stdin);
    freopen(PROBLEM ".OUT", "w", stdout);
    #endif

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