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>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
using namespace std;
using std::mt19937_64;
using std::random_device;
using std::uniform_int_distribution;
#include <numeric>
#define ff first
#define ss second
#define int long long
#define pb push_back
#define mp make_pair
#define pii pair<int,int>
#define vi vector<int>
#define mii map<int,int>
#define pqb priority_queue<int>
#define pqs priority_queue<int,vi,greater<int> >
#define setbits(x) __builtin_popcountll(x)
#define zrobits(x) __builtin_ctzll(x)
#define mod 1000000007
#define inf 1e18
#define ps(x,y) fixed<<setprecision(y)<<x
#define mk(arr,n,type) type *arr=new type[n];
#define w(x) int x; cin>>x; while(x--)
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
typedef tree<int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update> pbds;
void c_p_c()
{
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
//#ifndef ONLINE_JUDGE
// freopen("milkvisits.in", "r", stdin);
//freopen("milkvisits.out", "w", stdout);
//#endif
}
int dx[] = {1, -1, 0, 0};
int dy[] = {0, 0, 1, -1};
int exp(int x, int n, int m) {
if(x == 0 and n == 0) return 1;
x %= m;
int res = 1;
while (n > 0) {
if (n % 2 == 1) { res = res * x % m; }
x = x * x % m;
n /= 2;
}
return res;
}
bool check(double mid,vector<pair<int,int>> &v,int k,int n){
double dist = mid*mid;
double cur = 0;
for(int i = 0 ; i < n; i++){
double disty = v[i].ss*v[i].ss;
if(dist-disty >= 0){
double x = (v[i].ff + sqrtl(dist-disty));
double x2 = (v[i].ff - sqrtl(dist-disty));
if(x2 <= cur){
cur = max(x,cur);
}
}
}
return (cur >= k);
}
signed main()
{
int t=1;
c_p_c();
// cin >> t;
while(t--){
int n,k;
cin >> n >> k;
vector<pair<int,int>> v(n);
for(int i = 0 ; i < n; i++){
cin >> v[i].ff >> v[i].ss;
}
double l = 0, r = 1500000000;
double ans;
while(l <= r){
double mid = l + (r-l)/2;
if(check(mid,v,k,n)){
ans = mid;
r = mid-0.0001;
}
else{
l = mid+0.0001;
}
}
cout<<fixed<<setprecision(4);
cout<<ans<<endl;
}
return 0;
}
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