#include <bits/stdc++.h>
#define ll long long
#define db double
#define fi first
#define se second
#define pb push_back
#define all(x) begin(x), end(x)
#define allr(x) rbegin(x), rend(x)
#define szx(x) ((int)(x).size())
#define FOR(i, a, b) for (int i = a, _b = (b); i <= _b; ++i)
#define ROF(i, a, b) for (int i = a, _b = (b); i >= _b; --i)
#define REP(i, n) for (int i = 0, _n = (n); i < _n; ++i)
#define endl '\n'
using namespace std;
void setIO(string filename = "") {
ios::sync_with_stdio(0);
cin.tie(0);
if (!filename.empty()) {
if (ifstream(filename + ".in")) {
freopen((filename + ".in").c_str(), "r", stdin);
freopen((filename + ".out").c_str(), "w", stdout);
}
}
}
int n;
db l;
vector<pair<db, db>> cord;
bool ok(db x) {
vector<pair<db, db>> cutted;
REP(i, n) {
if (cord[i].se > x) continue;
db t = sqrt(x * x - cord[i].se * cord[i].se);
db l0 = max(0.0, cord[i].fi - t);
db r0 = min(l, cord[i].fi + t);
if (l0 > r0) continue;
cutted.pb({l0, r0});
// cout << l << ' ' << r << ' ' << cord[i].fi << ' ' << cord[i].se << ' ' << x << endl;
}
sort(all(cutted));
REP(i, szx(cutted) - 1)
if (cutted[i].se < cutted[i + 1].fi)
return 1;
else {
cutted[i + 1].fi = min(cutted[i + 1].fi, cutted[i].fi);
cutted[i + 1].se = max(cutted[i + 1].se, cutted[i].se);
}
if (cutted.empty() || cutted.back().fi > 0 || cutted.back().se < l) return 1;
return 0;
}
void solve() {
cin >> n >> l;
REP(i, n) {
db x, y;
cin >> x >> y;
if (cord.empty() || cord.back().fi != x) cord.pb({x, y});
}
n = szx(cord);
db l = 0,
r = max({
sqrt(cord[0].se * cord[0].se + (l - cord[0].fi) * (l - cord[0].fi)),
sqrt(cord[0].se * cord[0].se + cord[0].fi * cord[0].fi),
sqrt(cord[n - 1].se * cord[n - 1].se + (l - cord[n - 1].fi) * (l - cord[n - 1].fi)),
sqrt(cord[n - 1].se * cord[n - 1].se + cord[n - 1].fi * cord[n - 1].fi),
}) +
0.001;
while (r - l > 1e-5) {
db m = (r + l) / 2;
// cout << m << ' ' << ok(m) << endl;
if (ok(m))
l = m;
else
r = m;
}
cout << fixed << setprecision(6) << l;
}
int main() {
setIO("socdist");
int t = 1;
// cin >> t;
while (t--) solve();
}
Compilation message (stderr)
mobile.cpp: In function 'void setIO(std::string)':
mobile.cpp:22:20: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
22 | freopen((filename + ".in").c_str(), "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
mobile.cpp:23:20: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
23 | freopen((filename + ".out").c_str(), "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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