Submission #906197

#	Time	Username	Problem	Language	Result	Execution time	Memory
906197		Nonoze	Mobile (BOI12_mobile)	C++17	12 / 100	242 ms	18876 KiB

mobile

#include <bits/stdc++.h>
#define sz(x) (int)(x.size())

using namespace std;

int n, L;
vector<pair<double, double>> a;

void solve() {
	cin >> n >> L;
	a.clear();
	for (int i=0; i<n; i++) {
		int x, y; cin >> x >> y;
		y*=y;
		if (!a.empty() && x==a.back().first) {
			if (y<a.back().second) a.back().second=y;
		}
		else a.push_back({x, y});
	}
	n=sz(a);
	double l=0, r=1e9;
	while (r-l>0.0009) {
		double mid=(l+r)/2;
		double borne=0;
		double popo=pow(mid, 2);
		for (int i=0; i<n; i++) {
			if (a[i].second>popo) continue;
			double x=a[i].first;
			double dist=sqrt(popo-a[i].second);
			if (x-dist<=borne && x+dist>borne) borne=x+dist;
		}
		if (borne>=L) r=mid;
		else l=mid;
	}
	cout << fixed << setprecision(3) << l << endl;
	return;
}


signed main() {
	ios::sync_with_stdio(0);
	cin.tie(0);
	solve();
	return 0;
}

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