This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#define _CRT_SECURE_NO_WARNINGS
#include <bits/stdc++.h>
#include <unordered_map>
#include <unordered_set>
#define ll long long
#define ld long double
#define pl pair<ll, ll>
#define vi vector<ll>
#define vii vector<vi>
#define vc vector<char>
#define vcc vector<vc>
#define vp vector<pl>
#define mi map<ll,ll>
#define mc map<char,ll>
#define sortx(X) sort(X.begin(),X.end());
#define all(X) X.begin(),X.end()
#define ln '\n'
#define YES {cout << "YES\n"; return;}
#define NO {cout << "NO\n"; return;}
#define MUN {cout << "-1\n"; return;}
const int MODE = 1e9 + 7;
using namespace std;
void solve(int tc) {
ll n, len;
cin >> n >> len;
vp X(n);
for (int i = 0; i < n; i++)
cin >> X[i].first >> X[i].second;
double l = 0, r = 1.5e9;
double err = 1e-3;
while (r - l > err)
{
double mid = (l + r) / 2;
bool isit = 0;
vector<pair<double, double>> Z;
for (int i = 0; i < n; i++)
{
if (X[i].second > mid) continue;
double diff = sqrt(mid * mid - X[i].second * X[i].second);
double a = X[i].first - diff;
double b = X[i].first + diff;
Z.push_back({a, b});
}
sortx(Z);
for (int i = 1; i < Z.size(); i++)
{
if (Z[i].first > Z[i - 1].second) isit = 1;
Z[i].second = max(Z[i].second, Z[i - 1].second);
}
if (Z.empty() || Z[0].first > 0 || Z.back().second < len) isit = 1;
if (isit) l = mid;
else r = mid - err;
}
cout << fixed << setprecision(4) << l << '\n';
}
int main()
{
ios_base::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr);
int size = 1;
//freopen("loan.in", "r", stdin);
//freopen("loan.out", "w", stdout);
//cin >> size;
for (int i = 1; i <= size; i++) solve(i);
}
Compilation message (stderr)
mobile.cpp: In function 'void solve(int)':
mobile.cpp:57:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<double, double> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
57 | for (int i = 1; i < Z.size(); i++)
| ~~^~~~~~~~~~
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