//#pragma GCC optimize("03,unroll-loops")
#include <bits/stdc++.h>
using namespace std;
// Shortcuts for common operations
#define pb push_back
#define p push
#define ppb pop_back
#define f first
#define s second
#define all(x) (x).begin(), (x).end()
#define ll long long
//#define int ll
#define endl "\n"
#define sz(x) (int)x.size()
// Type definitions for convenience
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<vll> vvll;
typedef vector<bool> vb;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<vi> vvi;
typedef vector<pii> vii;
// Debugging macros
#define debug(x) cerr << #x << " = " << (x) << '\n'
#define debug_vector(v) _debug_vector(#v, v)
template<typename T>
void _debug_vector(const string& name, const vector<T>& a) {
cerr << name << " = [ ";
for(const auto &x : a) cerr << x << ' ';
cerr << "]\n";
}
// I/O redirection for local testing
#define iofile(io) \
freopen((io + ".in").c_str(), "r", stdin); \
freopen((io + ".out").c_str(), "w", stdout);
// delta for floodfill
vi dx = {0, 1, 0, -1};
vi dy = {1, 0, -1, 0};
// extended deltas for floodfill
vi edx = {0, 1, 0, -1, 1, 1, -1, -1};
vi edy = {1, 0, -1, 0, 1, -1, 1, -1};
// Common outputs
void yes() { cout << "YES" << '\n'; }
void no() { cout << "NO" << '\n'; }
#define ld long double
vii tab;
int n;
ld l;
bool check(ld alpha){
stack<pair<ld, ld>>s;
for(int i = 0; i < n; i++){
auto [x, y] = tab[i];
ld a = max(((ld)0), x - sqrt(alpha*alpha - y*y));
ld b = min(l, x + sqrt(alpha*alpha - y*y));
s.push({a, b});
while(s.size() >= 2){
auto [a, b] = s.top();
s.pop();
if(s.top().s >= a) s.top().f = max(((ld)0), min(s.top().f, a)), s.top().s = min(l, max(s.top().s, b));
else{ s.push({a, b}); break; }
}
}
return (s.size() == 1 and s.top().f == 0 and s.top().s == l);
}
void fx() {
cin >> n >> l;
for(int i = 0; i < n; i++){
pii curr;
cin >> curr.f >> curr.s;
tab.pb(curr);
}
ld lo = 0;
ld hi = 1e10;
ld eps = 1e-4;
while(hi - lo > eps){
ld mid = (lo + hi)/2;
if(check(mid)) hi = mid;
else lo = mid;
}
cout << lo << endl;
}
signed main() {
cin.tie(0)->sync_with_stdio(0);
// Uncomment the following lines for file I/O
// iofile(string("hello"));
// Uncomment the following lines for multiple test cases
// int t; cin >> t; while(t--) fx();
// Single test case
fx();
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
1 ms |
348 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
1 ms |
348 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
9 ms |
344 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
10 ms |
600 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
10 ms |
604 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
13 ms |
628 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
151 ms |
2268 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
171 ms |
2136 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
173 ms |
2264 KB |
Output is correct |
2 |
Incorrect |
147 ms |
2524 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
200 ms |
2776 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
222 ms |
2888 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
857 ms |
8292 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
921 ms |
11332 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1054 ms |
14232 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1063 ms |
16248 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1055 ms |
12992 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1101 ms |
16888 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1043 ms |
14276 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1022 ms |
17336 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1084 ms |
15448 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1018 ms |
21428 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |