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"
#define st first
#define nd second
using lint = int64_t;
constexpr int MOD = int(1e9) + 7;
constexpr int INF = 0x3f3f3f3f;
constexpr int NINF = 0xcfcfcfcf;
constexpr lint LINF = 0x3f3f3f3f3f3f3f3f;
const long double PI = acosl(-1.0);
// Returns -1 if a < b, 0 if a = b and 1 if a > b.
int cmp_double(double a, double b = 0, double eps = 1e-9) {
return a + eps > b ? b + eps > a ? 0 : 1 : -1;
}
using namespace std;
using ld = long double;
int main() {
cin.tie(nullptr)->sync_with_stdio(false);
int n;
lint length;
cin>>n>>length;
vector<lint> x(n), y(n);
for(int i=0; i<n; i++)
cin>>x[i]>>y[i];
ld l = 0, r = length;
int it = 300;
while(it--){
ld mid = (l+r)/2;
ld lastX = 0;
for(int i=0; i<n; i++){
ld xaux = sqrtl(mid*mid - y[i]*y[i]);
ld a = x[i] - xaux;
ld b = x[i] + xaux;
if(a <= lastX + 1e-9)
lastX = max(lastX, b);
}
if(length <= lastX + 1e-9) r = mid;
else l = mid;
}
cout<<fixed<<setprecision(5)<<r<<"\n";
return 0;
}
/*
[ ]Leu o problema certo???
[ ]Ver se precisa de long long
[ ]Viu o limite dos fors (é n? é m?)
[ ]Tamanho do vetor, será que é 2e5 em vez de 1e5??
[ ]Testar sample
[ ]Testar casos de borda
[ ]1LL no 1LL << i
[ ]Testar mod (é 1e9+7, mesmo?, será que o mod não ficou negativo?)
*/
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