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 <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
#define int ll
#define vi vector<int>
#define ii pair<int,int>
#define x first
#define y second
#define fore(a, b, c) for(int a=b; a<c; ++a)
#define all(x) x.begin(), x.end()
#define sz(x) (int)x.size()
#define endl '\n'
#define dbg(x) cerr << #x << ": " << x << endl
#define raya cerr << "================" << endl;
ld eps = 1e-4;
signed main(){
int n, len;
cin >> n >> len;
vector<ii> p(n);
fore(i, 0, n){
cin >> p[i].x >> p[i].y;
}
ld low = 0, high = 1e9+5;
ld ans = high;
while(low <= high){
ld mid = low + (high - low) / 2;
ld mx = 0;
fore(i, 0, n){
ld delta = (2*p[i].x)*(2*p[i].x)-4*(p[i].x*p[i].x+p[i].y*p[i].y-mid*mid);
ld a = (2*p[i].x - sqrtl(delta)) / 2;
ld b = (2*p[i].x + sqrtl(delta)) / 2;
if(a <= mx){
mx = max(mx, b);
}
}
if(mx >= len){
ans = mid;
high = mid-eps;
} else {
low = mid+eps;
}
}
cout << fixed << setprecision(6) << ans;
}
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