Submission #906058

#TimeUsernameProblemLanguageResultExecution timeMemory
906058LudisseyMobile (BOI12_mobile)C++14
0 / 100
1076 ms90524 KiB
#include <bits/stdc++.h>
using namespace std;
#define int double
 
double dist(double x1, double y1, double x2, double y2){
    double dist=sqrt(pow((x1-x2),2)+pow((y1-y2),2));
    return dist;
}

signed main() {
    ios::sync_with_stdio(false); cin.tie(nullptr);
    int N,L; cin >> N >> L;
    vector<pair<double,double>> a(N);
    map<int,int> minabs;
    for (int i = 0; i < N; i++){
        cin >> a[i].first >> a[i].second;
        if(minabs.find(a[i].first)==minabs.end()) {
            minabs[a[i].first]=abs(a[i].second);
        }
        else {
            minabs[a[i].first]=min(minabs[a[i].first],abs(a[i].second));
        }
    }
    double toL=1e10+100;
    double toO=1e10+100;
    double mxDst=0;
    for (int i = 0; i < N; i++)
    {
        toO=min(dist(0,0,a[i].first,minabs[a[i].first]),toO);
        toL=min(dist(L,0,a[i].first,minabs[a[i].first]),toL);
    }
    mxDst=max(toO,toL);
    for (int i = 0; i < N-1; i++)
    {
        double x1=a[i].first,y1=minabs[a[i].first],x2=a[i+1].first,y2=minabs[a[i+1].first];
        if(x1==x2) continue;
        else{
            double x=(((pow(x2,2)+pow(y2,2))-pow(x1,2))-pow(y1,2))/((((double)2*x1)-(double)2*x2));
            if(x>L||x<0) continue;
            mxDst=max(min(dist(x2,y2,x,0),dist(x1,y1,x,0)),mxDst);
        }
    }
    cout << setprecision(4) << fixed << (double)mxDst << "\n";
    return 0;
}
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