#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define ld long double
#define ar array
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
template <typename T> using oset = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
#define vt vector
#define pb push_back
#define all(c) (c).begin(), (c).end()
#define sz(x) (int)(x).size()
#define pll pair<ll, ll>
#define F_OR(i, a, b, s) for (int i=(a); (s)>0?i<(b):i>(b); i+=(s))
#define F_OR1(e) F_OR(i, 0, e, 1)
#define F_OR2(i, e) F_OR(i, 0, e, 1)
#define F_OR3(i, b, e) F_OR(i, b, e, 1)
#define F_OR4(i, b, e, s) F_OR(i, b, e, s)
#define GET5(a, b, c, d, e, ...) e
#define F_ORC(...) GET5(__VA_ARGS__, F_OR4, F_OR3, F_OR2, F_OR1)
#define FOR(...) F_ORC(__VA_ARGS__)(__VA_ARGS__)
#define EACH(x, a) for (auto& x: a)
template<class T> bool umin(T& a, const T& b) {
return b<a?a=b, 1:0;
}
template<class T> bool umax(T& a, const T& b) {
return a<b?a=b, 1:0;
}
ll FIRSTTRUE(function<bool(ll)> f, ll lb, ll rb) {
while(lb<rb) {
ll mb=(lb+rb)/2;
f(mb)?rb=mb:lb=mb+1;
}
return lb;
}
ll LASTTRUE(function<bool(ll)> f, ll lb, ll rb) {
while(lb<rb) {
ll mb=(lb+rb+1)/2;
f(mb)?lb=mb:rb=mb-1;
}
return lb;
}
template<class A> void read(vt<A>& v);
template<class A, size_t S> void read(ar<A, S>& a);
template<class A, class B> void read(pair<A, B>& x);
template<class T> void read(T& x) {
cin >> x;
}
void read(double& d) {
string t;
read(t);
d=stod(t);
}
void read(long double& d) {
string t;
read(t);
d=stold(t);
}
template<class H, class... T> void read(H& h, T&... t) {
read(h);
read(t...);
}
template<class A> void read(vt<A>& x) {
EACH(a, x)
read(a);
}
template<class A, size_t S> void read(array<A, S>& x) {
EACH(a, x)
read(a);
}
template<class A, class B> void read(pair<A, B>& x) {
cin >> x.first >> x.second;
}
string to_string(char c) {
return string(1, c);
}
string to_string(bool b) {
return b?"true":"false";
}
string to_string(const char* s) {
return string(s);
}
string to_string(string s) {
return s;
}
string to_string(vt<bool> v) {
string res;
FOR(sz(v))
res+=char('0'+v[i]);
return res;
}
template<size_t S> string to_string(bitset<S> b) {
string res;
FOR(S)
res+=char('0'+b[i]);
return res;
}
template<class T> string to_string(T v) {
bool f=1;
string res;
EACH(x, v) {
if(!f)
res+=' ';
f=0;
res+=to_string(x);
}
return res;
}
template<class A> void write(A x) {
cout << to_string(x);
}
template<class H, class... T> void write(const H& h, const T&... t) {
write(h);
write(t...);
}
void print() {
write("\n");
}
template<class H, class... T> void print(const H& h, const T&... t) {
write(h);
if(sizeof...(t))
write(' ');
print(t...);
}
ll n, l;
vt<pll> v;
bool check(ld d) {
vt<pair<ld, ld>> points;
ld r=0;
EACH(p, v) {
if (d>abs(p.second)) {
ld x=sqrtl(d*d-p.second*p.second);
if (p.first-x<=r) r=max(r, p.first+x);
}
}
return r>=l;
}
int main() {
ios::sync_with_stdio(0);
cin.tie(0);
cin >> n >> l;
v.resize(n);
FOR(n) cin >> v[i].first >> v[i].second;
ld i=1, j=2.5e9;
while (j-i>1e-4) {
ld mid=(i+j)/2;
if (check(mid)) j=mid;
else i=mid;
}
cout << fixed << setprecision(3);
cout << i << endl;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
2 ms |
340 KB |
Output is correct |
4 |
Correct |
2 ms |
340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
340 KB |
Output is correct |
2 |
Correct |
2 ms |
340 KB |
Output is correct |
3 |
Correct |
2 ms |
340 KB |
Output is correct |
4 |
Correct |
3 ms |
340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
340 KB |
Output is correct |
2 |
Correct |
2 ms |
340 KB |
Output is correct |
3 |
Correct |
2 ms |
340 KB |
Output is correct |
4 |
Correct |
2 ms |
340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
368 KB |
Output is correct |
2 |
Correct |
3 ms |
340 KB |
Output is correct |
3 |
Correct |
2 ms |
340 KB |
Output is correct |
4 |
Correct |
2 ms |
340 KB |
Output is correct |
5 |
Correct |
2 ms |
340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
36 ms |
1492 KB |
Output is correct |
2 |
Correct |
36 ms |
1528 KB |
Output is correct |
3 |
Correct |
19 ms |
1108 KB |
Output is correct |
4 |
Correct |
31 ms |
1504 KB |
Output is correct |
5 |
Correct |
15 ms |
1108 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
26 ms |
1556 KB |
Output is correct |
2 |
Correct |
23 ms |
1364 KB |
Output is correct |
3 |
Correct |
25 ms |
1588 KB |
Output is correct |
4 |
Correct |
24 ms |
1492 KB |
Output is correct |
5 |
Correct |
25 ms |
1620 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
39 ms |
1620 KB |
Output is correct |
2 |
Correct |
34 ms |
1620 KB |
Output is correct |
3 |
Correct |
29 ms |
1620 KB |
Output is correct |
4 |
Correct |
29 ms |
1876 KB |
Output is correct |
5 |
Correct |
34 ms |
1720 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
41 ms |
1876 KB |
Output is correct |
2 |
Correct |
39 ms |
1876 KB |
Output is correct |
3 |
Correct |
34 ms |
1876 KB |
Output is correct |
4 |
Correct |
30 ms |
2004 KB |
Output is correct |
5 |
Correct |
29 ms |
1904 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
40 ms |
1876 KB |
Output is correct |
2 |
Correct |
39 ms |
1876 KB |
Output is correct |
3 |
Correct |
41 ms |
1876 KB |
Output is correct |
4 |
Correct |
29 ms |
1876 KB |
Output is correct |
5 |
Correct |
31 ms |
1876 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
209 ms |
8144 KB |
Output is correct |
2 |
Correct |
233 ms |
15868 KB |
Output is correct |
3 |
Correct |
220 ms |
15436 KB |
Output is correct |
4 |
Correct |
169 ms |
17744 KB |
Output is correct |
5 |
Correct |
148 ms |
14928 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
213 ms |
8148 KB |
Output is correct |
2 |
Correct |
274 ms |
8148 KB |
Output is correct |
3 |
Correct |
216 ms |
8148 KB |
Output is correct |
4 |
Correct |
143 ms |
8148 KB |
Output is correct |
5 |
Correct |
149 ms |
8148 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
228 ms |
9708 KB |
Output is correct |
2 |
Correct |
248 ms |
18992 KB |
Output is correct |
3 |
Correct |
245 ms |
18416 KB |
Output is correct |
4 |
Correct |
207 ms |
21484 KB |
Output is correct |
5 |
Correct |
180 ms |
17644 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
296 ms |
9776 KB |
Output is correct |
2 |
Correct |
290 ms |
17652 KB |
Output is correct |
3 |
Correct |
221 ms |
16588 KB |
Output is correct |
4 |
Correct |
187 ms |
21488 KB |
Output is correct |
5 |
Correct |
179 ms |
18432 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
268 ms |
11272 KB |
Output is correct |
2 |
Correct |
289 ms |
22264 KB |
Output is correct |
3 |
Correct |
308 ms |
21504 KB |
Output is correct |
4 |
Correct |
220 ms |
24828 KB |
Output is correct |
5 |
Correct |
214 ms |
20220 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
286 ms |
11284 KB |
Output is correct |
2 |
Correct |
328 ms |
20484 KB |
Output is correct |
3 |
Correct |
258 ms |
19668 KB |
Output is correct |
4 |
Correct |
238 ms |
24576 KB |
Output is correct |
5 |
Correct |
222 ms |
21372 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
306 ms |
12836 KB |
Output is correct |
2 |
Correct |
334 ms |
25264 KB |
Output is correct |
3 |
Correct |
386 ms |
24504 KB |
Output is correct |
4 |
Correct |
250 ms |
28492 KB |
Output is correct |
5 |
Correct |
253 ms |
24024 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
339 ms |
12836 KB |
Output is correct |
2 |
Correct |
365 ms |
23444 KB |
Output is correct |
3 |
Correct |
284 ms |
22300 KB |
Output is correct |
4 |
Correct |
248 ms |
28328 KB |
Output is correct |
5 |
Correct |
246 ms |
24396 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
357 ms |
15956 KB |
Output is correct |
2 |
Correct |
452 ms |
31528 KB |
Output is correct |
3 |
Correct |
416 ms |
30540 KB |
Output is correct |
4 |
Correct |
312 ms |
35164 KB |
Output is correct |
5 |
Correct |
342 ms |
29536 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
408 ms |
15956 KB |
Output is correct |
2 |
Correct |
463 ms |
29200 KB |
Output is correct |
3 |
Correct |
377 ms |
28256 KB |
Output is correct |
4 |
Correct |
306 ms |
35292 KB |
Output is correct |
5 |
Correct |
300 ms |
30712 KB |
Output is correct |