제출 #1353560

#제출 시각아이디문제언어결과실행 시간메모리
1353560OwstinMobile (BOI12_mobile)C++20
8 / 100
1096 ms48228 KiB
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <utility>
#define FAST_IO ios::sync_with_stdio(false);cin.tie(0);
#define pb push_back
#define all(x) begin(x), end(x)
#define space " "
#define TEST_CASES int a; cin >> a; for (int i = 0; i < a; i++) {solve(); cout << endl;}
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef long double ld;
template<typename T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
mt19937 rng((uint32_t)chrono::steady_clock::now().time_since_epoch().count());

void solve() {
    int n; double l; cin >> n >> l;
    vector<pair<double, double>> vec;
    for (int i = 0; i < n; i++) {
        int x, y; cin >> x >> y;
        if (vec.empty() || x != vec.back().first) {
            vec.pb({x, y});
        }
        else if (x == vec.back().first) {
            if (abs(y) < abs(vec.back().second)) {
                vec.back().second = y;
            }
        }
    }
    n = vec.size();
    sort(all(vec));
    double lo = 0; double hi = 1e10;
    while (lo < hi - 1e-4) {
        double mid = (lo + hi) / 2;
        vector<pair<double, double>> go;
        for (int i = 0; i < n; i++) {
            if (abs(vec[i].second) - mid > 0) {
                continue;
            }
            double dist = sqrt(mid * mid - vec[i].second * vec[i].second);
            go.pb({vec[i].first - dist, vec[i].first + dist});
        }
        sort(all(go));
        double last = 0;
        bool flag = (!go.empty() && go[0].first <= 0 && go.back().second >= l);
        for (auto i : go) {
            if (i.first > last) {
                flag = false;
            }
            last = max(last, i.second);
            if (last >= l) {
                break;
            }
        }
        if (flag) {
            hi = mid;
        }
        else {
            lo = mid + 1e-4;
        }
    }
    cout << hi;
}

int main() {
    FAST_IO;
    //freopen("snowboots.in", "r", stdin);
    //freopen("snowboots.out", "w", stdout);
    //TEST_CASES;
    solve(); cout << endl;
    /*int a; cin >> a;
    for (int i = 1; i <= a; i++){
        cout << "Case #" << i << ": ";
        solve();
        cout << endl;
    }*/
}
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