Submission #1305099

#	Time	Username	Problem	Language	Result	Execution time	Memory
1305099		vaishakhv	Mobile (BOI12_mobile)	C++20	0 / 100	501 ms	16024 KiB

mobile

// Source: https://usaco.guide/general/io

#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using db = double;

ll N, L;

db ok(db x, vector<pair<ll,ll>> &coords){
    db best = 1e100;
    for (ll j = 0; j < N; j++){
        db dx = x - coords[j].first;
        db dy = coords[j].second;
        best = min(best, sqrt(dx*dx + dy*dy));
    }
    return best;
}

int main() {
    ios::sync_with_stdio(0);
    cin.tie(0);

    cin >> N >> L;

    vector<pair<ll,ll>> coords(N);
    for (ll i = 0; i < N; i++){
        cin >> coords[i].first >> coords[i].second;
    }

    db l = 0, r = (db)L;

    for (ll it = 0; it < 100; it++) {
        db m1 = l + (r - l) / 3;
        db m2 = r - (r - l) / 3;

        if (ok(m1, coords) < ok(m2, coords))
            l = m1;
        else
            r = m2;
    }

    cout << fixed << setprecision(6) << ok((l + r) / 2, coords);
}

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