This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
# include <numeric>
# include <vector>
# include <algorithm>
# include <cmath>
# include <array>
# include <bitset>
# include <set>
# include <map>
# include <string>
# include <cstdlib>
# include <queue>
# include <iomanip>
using namespace std;
#define ll long long int
#define all(x) x.begin(), x.end()
#define f x.first
#define s x.second
# include <iostream>
/*
# include <fstream>
ifstream cin ("angry.in");
ofstream cout ("angry.out");
*/
/*
1 3 8 10 11
2 5 2 1
*/
int main(){
int n, k;
cin >> n >> k;
vector<array<ll, 2>> a(n);
for(int i = 0; i < n; i++){
cin >> a[i][0] >> a[i][1];
}
auto cf = [&](double m){
double cur = 0;
for(int i = 0; i < n; i++){
double d = sqrt(m*m - a[i][1]*a[i][1]);
double e1 = a[i][0] - d, e2 = a[i][0] + d;
if(e1 <= cur){cur = max(cur, e2);}
}
if(cur >= k){return false;}
return true;
};
double l = 1, r = 1.5e9;
while(r - l > 1e-5 ){
double m = (r+l)/2;
if(cf(m)){l = m;}
else{r = m;}
}
cout << fixed << setprecision(4) << l;
return 0;
}
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