Submission #1093054

#	Time	Username	Problem	Language	Result	Execution time	Memory
1093054		TommasoUlian	Mobile (BOI12_mobile)	C++17	0 / 100	806 ms	47292 KiB

mobile

#include <bits/stdc++.h>
#define PB push_back
#define MP makepair
#ifndef ONLINE_JUDGE
#define DEBUG(x) cout << #x << " = " << (x) << endl
#else
#define DEBUG(x)
#endif
#define FOR(n) for(int i = 0; i < (n); i++)
#define SORTA(v) sort((v).begin(), (v).end())
#define SORTD(v) sort((v).rbegin(), (v).rend())
#define PRINT(v) for(auto x: (v))cout << x << " "; cout << endl;
#define TWO(n) (1 << (n))
#define INPUT(v) for(auto &x : (v))cin >> x;
 
typedef long long ll;
 
using namespace std;
 
vector<pair<double,double>> torri;
ll n,L;
 
bool good(double r){
    queue<pair<double,double>> s;
    
    for(auto a:torri){
        double x = a.first, y = a.second;
        if (abs(y) <= r-10e-6)s.push({x-sqrt((r+y)*(r-y)),x+sqrt((r+y)*(r-y))});
       
    }
    double curr = 0;
    while(!s.empty()){
        if(curr >= L)return true;
        auto seg = s.front();
        s.pop();
        if(seg.first <= curr+10e-7){
            curr = max(seg.second,curr);
        }
        else return false;
    }
    if(curr < L)return false;
    return true;
}
 
void solve(){
    cin >> n >> L;
    torri = vector<pair<double,double>>(n);
    for(int i = 0; i < n; i++){
        cin >> torri[i].first >> torri[i].second;
 
    }
    double l = 1, r = 2e9;
    double ans = r;
    while(r-l >= 10e-7){
        double c = (r+l)/2;
        //cout << c << endl;
        if(good(c)){
            ans = min(ans,c);
            r = c;
        }
        else{
            l = c;
        }
 
    }
    
    cout << ans << endl;
    
}
 
int main(){
    cout << setprecision(18);
    ios::sync_with_stdio(false);

    solve();
    return 0;
}

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