#include<bits/stdc++.h>
using namespace std;
#define TASK ""
#define FOR(i,a,b) for (int i = (a); i <= (b); ++i)
#define FOr(i,a,b) for (int i = (a); i < (b); ++i)
#define FOD(i,a,b) for (int i = (a); i >= (b); --i)
#define FOd(i,a,b) for (int i = (a); i > (b); --i)
#define ll long long
#define ii pair<int, int>
#define all(x) (x).begin(), (x).end()
#define pb push_back
const int MAX = 1002207;
const int MOD = (int)1e9 + 7;
struct point {
int x, y;
void refine(void) {
y = abs(y);
}
friend istream &operator >> (istream &ifs, point &p) {
return ifs >> p.x >> p.y;
}
};
int n, L;
point arr[MAX];
bool check(double r) {
stack<pair<double, double>> st;
for (int i = 1; i <= n; ++i) {
auto &[x, y] = arr[i];
if (y > r) continue;
double d = sqrt(r * r - (double)y * y);
double dx1 = x - d, dx2 = x + d;
while (!st.empty() && st.top().second >= dx1) {
dx1 = min(dx1, st.top().first);
dx2 = max(dx2, st.top().second);
st.pop();
}
st.push(make_pair(dx1, dx2));
}
double reach = L;
while (!st.empty() && reach > 0.00) {
auto &[x1, x2] = st.top();
st.pop();
if (reach > x2) return false;
reach = x1;
}
return reach <= 0.00;
}
void waguri(void) {
cin >> n >> L;
FOR(i, 1, n) {
cin >> arr[i];
arr[i].refine();
}
double lo = 0, hi = 2e9;
double mid;
FOR(t1, 1, 500) {
mid = (lo + hi) / 2.00;
if (check(mid)) {
hi = mid;
}
else lo = mid;
}
cout << fixed << setprecision(6) << lo << "\n";
return;
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(0);
if (fopen(TASK".inp", "r")) {
freopen(TASK".inp", "r", stdin);
freopen(TASK".out", "w", stdout);
}
int tt;
tt = 1;
while (tt--) {
waguri();
}
return 0;
}
Compilation message (stderr)
mobile.cpp: In function 'int main()':
mobile.cpp:93:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
93 | freopen(TASK".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
mobile.cpp:94:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
94 | freopen(TASK".out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
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