Submission #1059388

#	Time	Username	Problem	Language	Result	Execution time	Memory
1059388		ssitaram	Mobile (BOI12_mobile)	C++17	0 / 100	555 ms	50696 KiB

mobile

#include <bits/stdc++.h>
using namespace std;

typedef long double ld;

int main() {
	ios::sync_with_stdio(0);
	cin.tie(nullptr);
	int n; cin >> n;
	ld l; cin >> l;
	ld lo = 0, hi = 1e12;
	vector<pair<ld, ld>> poi(n);
	for (int i = 0; i < n; ++i) cin >> poi[i].first >> poi[i].second;
	while (hi - lo > 1e-4) {
		ld mi = (lo + hi) / 2;
		ld till = 0;
		for (int i = 0; i < n; ++i) {
			if (mi * mi - poi[i].second * poi[i].second < 0) continue;
			ld sq = sqrt(mi * mi - poi[i].second * poi[i].second);
			ld h = sq + poi[i].first;
			ld l = - sq + poi[i].first;
			if (l <= till) {
				till = h;
			}
		}
		if (till >= l) {
			hi = mi;
		} else {
			lo = mi;
		}
	}
	cout << fixed << setprecision(4) << lo << '\n';
	return 0;
}

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