Submission #1112829

#	Time	Username	Problem	Language	Result	Execution time	Memory
1112829		erentor353	Mobile (BOI12_mobile)	C++17	0 / 100	367 ms	22692 KiB

mobile

#include<bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
template<typename T> using oset = 
__gnu_pbds::tree<T, __gnu_pbds::null_type, greater<T>, 
__gnu_pbds::rb_tree_tag,__gnu_pbds::tree_order_statistics_node_update>; 
#define vt vector
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define sz(x) (int)x.size()
#define ll long long
#define ull unsigned ll
#define ld long double
#define okey order_of_key
#define oget find_by_order
typedef vt<int> vi;
typedef pair<int,int> pi;
typedef pair<ll, ll> pll;
const ll MAXN = 1e6;
const ll MAXM = 60;
const ll MAXL = 31;
const ll MOD = 1e9 + 7;
ll N, L, x[MAXN], y[MAXN];
bool check(double r){
	double maximum = 0;
	for(int i = 0; i<N; ++i){
		double diff = r*r-(double)(y[i]*y[i]);
		if(diff < 0) continue;
		double sqt = sqrt(diff);
		double x1 = x[i] - sqt;
		double x2 = sqt + x[i];
		if(x1 > maximum) return false;
		maximum = max(maximum, x2);
	}
	
	return maximum >= L;
}
void solve(){
	cin>>N>>L;
	for(int i = 0; i<N; ++i){
		cin>>x[i]>>y[i];
	}
	
	double lo = 0, hi = 1e13;
	while(hi - lo > 1e-3){
		double mid = (hi + lo)/2;
		if(check(mid)){
			hi = mid;
		}else{
			lo = mid;
		}
	}
	
	printf("%.4f\n", hi);
}
int main(){
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);
	
	int t = 1;
	//cin>>t;
	while(t--) solve();
}

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