#include <iostream>
#include <algorithm>
#include <utility>
#include <vector>
#include <stack>
#include <map>
#include <queue>
#include <set>
#include <unordered_set>
#include <unordered_map>
#include <cstring>
#include <cmath>
#include <functional>
#include <cassert>
#include <iomanip>
#include <numeric>
#include <bitset>
#include <sstream>
#include <chrono>
#include <random>
#define ff first
#define ss second
#define PB push_back
#define sz(x) int(x.size())
#define rsz resize
#define fch(xxx, yyy) for (auto xxx : yyy) // abusive notation
#define all(x) (x).begin(),(x).end()
#define eps 1e-9
// more abusive notation (use at your own risk):
// #define int ll
using namespace std;
typedef long long ll;
typedef long double ld;
typedef unsigned long long ull;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
using vi = vector<int>;
using vll = vector<ll>;
// debugging
void __print(int x) {std::cerr << x;}
void __print(ll x) {std::cerr << x;} /* remember to uncomment this when not using THE MACRO */
void __print(unsigned x) {std::cerr << x;}
void __print(ull x) {std::cerr << x;}
void __print(float x) {std::cerr << x;}
void __print(double x) {std::cerr << x;}
void __print(ld x) {std::cerr << x;}
void __print(char x) {std::cerr << '\'' << x << '\'';}
void __print(const char *x) {std::cerr << '\"' << x << '\"';}
void __print(const string& x) {std::cerr << '\"' << x << '\"';}
void __print(bool x) {cerr << (x ? "true" : "false");}
template<typename T, typename V> void __print(const pair<T, V> &x) {std::cerr << '{'; __print(x.ff); std::cerr << ", "; __print(x.ss); std::cerr << '}';}
template<typename T> void __print(const T& x) {int f = 0; std::cerr << '{'; for (auto &i: x) std::cerr << (f++ ? ", " : ""), __print(i); std::cerr << "}";}
void _print() {std::cerr << "]\n";}
template <typename T, typename... V> void _print(T t, V... v) {__print(t); if (sizeof...(v)) std::cerr << ", "; _print(v...);}
void println() {std::cerr << ">--------------------<" << endl;}
#ifndef ONLINE_JUDGE
#define debug(x...) cerr << "[" << #x << "] = ["; _print(x)
#else
#define debug(x...)
#endif
// templates
template <class T> bool ckmin(T &a, const T &b) {return b<a ? a = b, 1 : 0;}
template <class T> bool ckmax(T &a, const T &b) {return b>a ? a = b, 1 : 0;}
template <class T> using gr = greater<T>;
template <class T> using vc = vector<T>;
template <class T> using p_q = priority_queue<T>;
template <class T> using pqg = priority_queue<T, vc<T>, gr<T>>;
template <class T1, class T2> using pr = pair<T1, T2>;
mt19937_64 rng_ll(chrono::steady_clock::now().time_since_epoch().count());
int rng(int M) {return (int)(rng_ll()%M);} /*returns any random number in [0, M) */
// const variables
constexpr int INF = (int)2e9;
constexpr int MOD = 998244353;
constexpr ll LL_INF = (ll)3e18;
constexpr int mod = (int)1e9 + 7;
constexpr ll inverse = 500000004LL; // inverse of 2 modulo 1e9 + 7
void setIO(const string& str) {// fast input/output
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
if (str.empty()) return;
freopen((str + ".in").c_str(), "r", stdin);
freopen((str + ".out").c_str(), "w", stdout);
}
int N, L;
vc<pii> p;
bool checkie(ld x) {
ld right = 0;
for (int i = 0; i < N; ++i) {
if (x < abs(p[i].ss)) continue;
ld thingy = sqrtl(x * x - (ld)p[i].ss * p[i].ss);
ld x2 = (ld)p[i].ff + thingy, x1 = (ld)p[i].ff - thingy;
//debug(x1, x2);
if (x1 > right) continue;
ckmax(right, x2);
}
//debug(right);
return right >= L;
}
signed main() { // TIME YOURSELF !!!
setIO("");
cin >> N >> L;
p.rsz(N);
for (int i = 0; i < N; ++i) {
cin >> p[i].ff >> p[i].ss;
}
ld l = 0.00, r = (ld)1e11;
for (int i = 0; i < 60; ++i) {
ld mid = (ld)((ld)(l + r)/(ld)2.00);
if (checkie(mid)) {
r = mid;
} else l = mid;
}
cout << fixed << setprecision(6) << r;
return 0;
}
// TLE -> TRY NOT USING DEFINE INT LONG LONG
// CE -> CHECK LINE 45
// 5000 * 5000 size matrices are kinda big (potential mle)
// Do something, start simpler
Compilation message
mobile.cpp: In function 'void setIO(const string&)':
mobile.cpp:88:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
88 | freopen((str + ".in").c_str(), "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
mobile.cpp:89:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
89 | freopen((str + ".out").c_str(), "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
344 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
348 KB |
Output is correct |
2 |
Correct |
2 ms |
348 KB |
Output is correct |
3 |
Correct |
2 ms |
348 KB |
Output is correct |
4 |
Correct |
2 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
348 KB |
Output is correct |
2 |
Correct |
2 ms |
348 KB |
Output is correct |
3 |
Correct |
3 ms |
408 KB |
Output is correct |
4 |
Correct |
2 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
348 KB |
Output is correct |
2 |
Correct |
2 ms |
348 KB |
Output is correct |
3 |
Correct |
2 ms |
344 KB |
Output is correct |
4 |
Correct |
2 ms |
348 KB |
Output is correct |
5 |
Correct |
2 ms |
600 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
41 ms |
860 KB |
Output is correct |
2 |
Correct |
34 ms |
860 KB |
Output is correct |
3 |
Correct |
22 ms |
856 KB |
Output is correct |
4 |
Correct |
28 ms |
1112 KB |
Output is correct |
5 |
Correct |
16 ms |
860 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
24 ms |
860 KB |
Output is correct |
2 |
Correct |
22 ms |
860 KB |
Output is correct |
3 |
Correct |
25 ms |
860 KB |
Output is correct |
4 |
Correct |
24 ms |
860 KB |
Output is correct |
5 |
Correct |
26 ms |
1116 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
38 ms |
1116 KB |
Output is correct |
2 |
Correct |
35 ms |
860 KB |
Output is correct |
3 |
Correct |
31 ms |
1112 KB |
Output is correct |
4 |
Correct |
29 ms |
1112 KB |
Output is correct |
5 |
Correct |
28 ms |
1116 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
41 ms |
1116 KB |
Output is correct |
2 |
Correct |
53 ms |
1112 KB |
Output is correct |
3 |
Correct |
37 ms |
1116 KB |
Output is correct |
4 |
Correct |
29 ms |
1116 KB |
Output is correct |
5 |
Correct |
31 ms |
1112 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
59 ms |
1112 KB |
Output is correct |
2 |
Correct |
41 ms |
1112 KB |
Output is correct |
3 |
Correct |
32 ms |
1112 KB |
Output is correct |
4 |
Correct |
28 ms |
1116 KB |
Output is correct |
5 |
Correct |
30 ms |
1116 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
231 ms |
4188 KB |
Output is correct |
2 |
Correct |
214 ms |
4188 KB |
Output is correct |
3 |
Correct |
217 ms |
4184 KB |
Output is correct |
4 |
Correct |
139 ms |
4184 KB |
Output is correct |
5 |
Correct |
141 ms |
4184 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
211 ms |
4188 KB |
Output is correct |
2 |
Correct |
294 ms |
4184 KB |
Output is correct |
3 |
Correct |
183 ms |
4184 KB |
Output is correct |
4 |
Correct |
141 ms |
4188 KB |
Output is correct |
5 |
Correct |
143 ms |
4188 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
245 ms |
4952 KB |
Output is correct |
2 |
Correct |
263 ms |
5208 KB |
Output is correct |
3 |
Correct |
233 ms |
4952 KB |
Output is correct |
4 |
Correct |
207 ms |
4952 KB |
Output is correct |
5 |
Correct |
179 ms |
4956 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
253 ms |
4952 KB |
Output is correct |
2 |
Correct |
341 ms |
4952 KB |
Output is correct |
3 |
Correct |
214 ms |
4956 KB |
Output is correct |
4 |
Correct |
172 ms |
4956 KB |
Output is correct |
5 |
Correct |
171 ms |
4956 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
309 ms |
5720 KB |
Output is correct |
2 |
Correct |
281 ms |
5724 KB |
Output is correct |
3 |
Correct |
289 ms |
5720 KB |
Output is correct |
4 |
Correct |
195 ms |
5724 KB |
Output is correct |
5 |
Correct |
218 ms |
5724 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
296 ms |
5724 KB |
Output is correct |
2 |
Correct |
391 ms |
5724 KB |
Output is correct |
3 |
Correct |
240 ms |
5724 KB |
Output is correct |
4 |
Correct |
187 ms |
5720 KB |
Output is correct |
5 |
Correct |
201 ms |
5976 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
350 ms |
6492 KB |
Output is correct |
2 |
Correct |
323 ms |
6488 KB |
Output is correct |
3 |
Correct |
349 ms |
6748 KB |
Output is correct |
4 |
Correct |
223 ms |
6492 KB |
Output is correct |
5 |
Correct |
243 ms |
6488 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
365 ms |
6488 KB |
Output is correct |
2 |
Correct |
441 ms |
6492 KB |
Output is correct |
3 |
Correct |
298 ms |
6492 KB |
Output is correct |
4 |
Correct |
234 ms |
6488 KB |
Output is correct |
5 |
Correct |
233 ms |
6492 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
440 ms |
8280 KB |
Output is correct |
2 |
Correct |
418 ms |
8280 KB |
Output is correct |
3 |
Correct |
423 ms |
8284 KB |
Output is correct |
4 |
Correct |
279 ms |
8284 KB |
Output is correct |
5 |
Correct |
301 ms |
8284 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
440 ms |
8284 KB |
Output is correct |
2 |
Correct |
562 ms |
8280 KB |
Output is correct |
3 |
Correct |
363 ms |
8280 KB |
Output is correct |
4 |
Correct |
272 ms |
8280 KB |
Output is correct |
5 |
Correct |
277 ms |
8280 KB |
Output is correct |