Submission #554954

#	Time	Username	Problem	Language	Result	Execution time	Memory
554954		victor_gao	Mobile (BOI12_mobile)	C++17	0 / 100	979 ms	97760 KiB

mobile

//#pragma GCC optimize("Ofast,unroll-loops,O3")
//#pragma GCC target("avx,avx2,sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,fma,tune=native")
#include<bits/stdc++.h>
//#include<bits/extc++.h>
//#pragma pack(1)
#define fast ios::sync_with_stdio(0); cin.tie(0);
#define int long long
#define double long double
#define pii pair<int,int>
#define x first
#define y second
#define N 1000015
#define eps 1e-8
using namespace std;
//using namespace __gnu_pbds;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
//typedef tree<int, null_type,less_equal<int>, rb_tree_tag,tree_order_statistics_node_update> order_multiset;
//typedef tree<int, null_type,less<int>, rb_tree_tag,tree_order_statistics_node_update> order_set;
int n,L;
pii arr[N];
map<int,int>mp;
bool check(double val){
	//cout<<sqrt(val)<<" -> \n";
	double r=0;
	for (int i=1;i<=n;i++){
		if (val*val-arr[i].y*arr[i].y<=eps) continue;
		double dl=(double)arr[i].x-sqrt(val*val-arr[i].y*arr[i].y);
		double dr=(double)arr[i].x+sqrt(val*val-arr[i].y*arr[i].y);
		if (dl<=r) r=dr; 
	}
	if (r>=L){
	//	cout<<"OK\n";
		return 1;
	}
//	cout<<"NO\n";
	return 0;
}
signed main(){
	fast
//	freopen("loan.in","r",stdin);
//	freopen("loan.out","w",stdout);
	cout<<fixed<<setprecision(5);
	cin>>n>>L;
	for (int i=1;i<=n;i++){
		cin>>arr[i].x>>arr[i].y;
		if (!mp[arr[i].x]) mp[arr[i].x]=arr[i].y;
		else mp[arr[i].x]=min(arr[i].y,mp[arr[i].x]);
	}
	n=0;
	for (auto i:mp)	arr[++n]=i;
	double l=0,r=4e18;
	while (r-l>0.00001){
		double mid=(l+r)/2.0;
	//	cout<<l<<" ~ "<<r<<'\n';
		if (check(mid)) r=mid;
		else l=mid;
	}
	cout<<(double)(l)<<'\n';
}

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