Submission #217141

#TimeUsernameProblemLanguageResultExecution timeMemory
217141dolphingarlicMobile (BOI12_mobile)C++14
100 / 100
658 ms16632 KiB
#include <bits/stdc++.h>
#define FOR(i, x, y) for (int i = x; i < y; i++)
#define x first
#define y second
using namespace std;

pair<long long, long long> p[1000000];

int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    int n, len;
    cin >> n >> len;
    FOR(i, 0, n) cin >> p[i].x >> p[i].y;

    double l = 1, r = 5e8;
    while (r - l > 1e-3) {
        double mid = (l + r) / 2, curr = 0;
        FOR(i, 0, n) {
            double delta = sqrt(mid * mid - p[i].y * p[i].y);
            double a = p[i].x - delta, b = p[i].x + delta;
            if (a <= curr) curr = max(curr, b);
        }

        if (curr >= len) r = mid;
        else l = mid;
    }

    cout << fixed << setprecision(4) << l;
    return 0;
}
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