Submission #230029

#	Time	Username	Problem	Language	Result	Execution time	Memory
230029		infinite_iq	Mobile (BOI12_mobile)	C++14	0 / 100	1099 ms	48176 KiB

mobile

#define fast ios_base::sync_with_stdio(0),cin.tie(0),cout.tie(0)
#include <bits/stdc++.h>
using namespace std;
#define sqr 547
#define mp make_pair
#define mid (l+r)/2
#define pb push_back
#define ppb pop_back
#define fi first
#define se second
#define lb lower_bound
#define ub upper_bound
#define ins insert
#define era erase
#define C continue
#define mem(dp,i) memset(dp,i,sizeof(dp))
#define mset multiset
#define all(x) x.begin(), x.end()
typedef long long ll;
typedef short int si;
typedef long double ld;
typedef pair<int,int> pi;
typedef pair<ll,ll> pll;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<pi> vpi;
typedef vector<pll> vpll;
const ll inf=1e18;
const ll mod=1e9+7;
const ld pai=acos(-1);
ll N , En ;
pll A [1000009] ;
bool Check ( double Mid ) {
        vector < pair < double , double > >  Interval ;
        for ( int i = 0 ; i < N ; i ++ ) {
                double Len = sqrt ( Mid * Mid  - A [i] .se * A [i] .se ) ;
                double L = A [i].fi - Len , R = A [i].fi + Len ;
                L = max ( L , 0.0 ) , R = min ( R , (double)En ) ;
                if ( R < L ) C ;
                Interval .pb ( { L , R } ) ;
        }
        sort ( all ( Interval ) ) ;
        if ( Interval [0].fi != 0 ) return 0 ;
        double R = 0 ;
        for ( auto u : Interval ) {
                if ( R < u.fi ) return 0 ;
                R = max ( R , u.se ) ;
        }
        if ( R != En ) return 0 ;
        return 1 ;
}
int main () {
        cin >> N >> En ;
        for ( int i = 0 ; i < N ; i ++ ) cin >> A [i] .fi >> A [i] .se ;
        double L = 1 , R = 1e9 ;
        while ( R - L > 0.001 ) {
                double Mid = ( L + R ) / 2.0 ;
                if ( Check ( Mid ) ) R = Mid ;
                else L = Mid ;
        }
        cout << fixed << setprecision (4) << L << endl ;
}

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