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 i64 = long long;
int main() {
std::ios::sync_with_stdio(false);
std::cin.tie(nullptr);
int N, L;
std::cin >> N >> L;
std::vector<std::pair<int, int>> p(N);
for (auto &[x, y] : p) {
std::cin >> x >> y;
}
auto check = [&](double r) {
double cur = 0;
for (auto [x, y] : p) {
double d = std::sqrt(r * r - 1.0 * y * y);
if (x - d <= cur) {
cur = std::max(cur, x + d);
}
}
return cur >= L;
};
double ans = [&]() {
double l = 0, r = 3E9;
while (r - l > 1E-5) {
double x = l + (r - l) / 2;
if (check(x)) {
r = x;
} else {
l = x;
}
}
return l;
}();
std::cout << std::fixed << std::setprecision(4) << ans << "\n";
return 0;
}
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