Submission #460579

#	Time	Username	Problem	Language	Result	Execution time	Memory
460579		shivensinha4	Mobile (BOI12_mobile)	C++17	22 / 100	1098 ms	48108 KiB

mobile

#include <bits/stdc++.h>
#ifdef mlocal
#include "./Competitive-Code-Library/snippets/prettyprint.h"
#endif
using namespace std;
#define for_(i, s, e) for (int i = s; i < (int) e; i++)
#define for__(i, s, e) for (ll i = s; i < e; i++)
typedef double ll;
typedef vector<int> vi;
typedef array<ll, 2> ii;
#define endl '\n'

const ll K = 1e5;

int main() {
#ifdef mlocal
	freopen("test.in", "r", stdin);
#endif
	
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	
	ll n, len; cin >> n >> len;
	len *= K;
	vector<ii> pts(n);
	for_(i, 0, n) {
		for_(j, 0, 2) {
			cin >> pts[i][j];
			pts[i][j] *= K;
		}
	}
	
	ll l = 0, r = 1e15, ans = l;
	while (l < r) {
		ll mid = (l+r)/2;
		bool hole = false;
		vector<ii> seg;
		for_(i, 0, n) if (mid*mid >= pts[i][1]*pts[i][1]) {
			ll sq = sqrtl(mid*mid - pts[i][1]*pts[i][1]);
			seg.push_back({pts[i][0]-sq, pts[i][0]+sq});
		}
		sort(seg.begin(),  seg.end());
		
		ll cr = 0;
		for (auto &i: seg) {
			if (cr >= len) break;
			if (i[0] <= cr) cr = max(i[1], cr);
			/*else {
				continue;
//				hole = true;
//				break;
			}*/
		}
		
		if (hole or cr < len) {
			ans = mid;
			l = mid+1;
		} else r = mid;
	}
	
	cout << fixed << setprecision(10) << ans/K << endl;
}

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