#include <bits/stdc++.h>
using namespace std;
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define sz(x) (int)(x).size()
#define ft first
#define sd second
#define pb push_back
#define endl '\n'
typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;
typedef vector<pii> vii;
typedef vector<ll> vl;
typedef pair<ll, ll> pll;
typedef vector<pll> vll;
typedef vector<vi> vvi;
#define dbg if(1)
template <class _T>
string printbit(_T x) {string s="";while(x){s=((x%2)?'1':'0')+s;x/=2;} return s;}
template <class _T>
string printbit(_T x, int len) {string s="";while(len--){s=((x%2)?'1':'0')+s;x/=2;} return s;}
const int MOD = 1e9+7;
const int INF = 1e9;
const int maxN = 1e6+5;
ll n;
long double l;
vector<pair<long double, long double>> cor(maxN);
bool check(long double mid){
vector<pair<long double, long double>> coord;
for (int i =0;i<n;i++){
auto p = cor[i];
auto power = mid;
if (p.second-power>0) continue;
else {
long double len = sqrt(power*power - p.sd*p.sd);
coord.pb(make_pair(p.ft-len, p.ft+len));
}
}
sort(all(coord));
if (coord.empty() || coord[0].ft>1e-5) return false;
long double curr = 0;
for (auto x:coord){
if (x.ft-curr>-1e-4) return false;
curr = max(curr, x.sd);
if (curr-l>-1e-4) return true;
}
return curr-l>-1e-4;
}
void solve(){
cin>>n>>l;
for (int i = 0;i<n;i++) {
cin>>cor[i].ft>>cor[i].sd;
cor[i].sd = abs(cor[i].sd);
}
long double l = 0, r = 1e14;
while(r-l>1e-5){
long double mid = (l+r)/2;
if (check(mid)) r = mid;
else l = mid;
}
cout<<fixed<<setprecision(6)<<r;
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
int t = 1;
// cin>>t;
while(t--){
solve();
cout<<endl;
}
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
25 ms |
31632 KB |
Output is correct |
2 |
Correct |
25 ms |
31588 KB |
Output is correct |
3 |
Correct |
27 ms |
31676 KB |
Output is correct |
4 |
Correct |
26 ms |
31548 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
26 ms |
31576 KB |
Output is correct |
2 |
Correct |
27 ms |
31560 KB |
Output is correct |
3 |
Correct |
30 ms |
31640 KB |
Output is correct |
4 |
Correct |
27 ms |
31540 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
35 ms |
31860 KB |
Output is correct |
2 |
Correct |
38 ms |
31864 KB |
Output is correct |
3 |
Correct |
35 ms |
31728 KB |
Output is correct |
4 |
Correct |
40 ms |
31892 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
50 ms |
32052 KB |
Output is correct |
2 |
Correct |
62 ms |
32116 KB |
Output is correct |
3 |
Correct |
55 ms |
32212 KB |
Output is correct |
4 |
Correct |
41 ms |
32120 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
52 ms |
32044 KB |
Output is correct |
2 |
Correct |
54 ms |
32116 KB |
Output is correct |
3 |
Correct |
58 ms |
32092 KB |
Output is correct |
4 |
Correct |
42 ms |
32120 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
52 ms |
32044 KB |
Output is correct |
2 |
Correct |
56 ms |
32240 KB |
Output is correct |
3 |
Correct |
71 ms |
32180 KB |
Output is correct |
4 |
Correct |
42 ms |
32052 KB |
Output is correct |
5 |
Correct |
47 ms |
32232 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
430 ms |
38156 KB |
Output is correct |
2 |
Correct |
680 ms |
38216 KB |
Output is correct |
3 |
Correct |
423 ms |
35400 KB |
Output is correct |
4 |
Correct |
325 ms |
38152 KB |
Output is correct |
5 |
Correct |
280 ms |
35748 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
409 ms |
38264 KB |
Output is correct |
2 |
Correct |
342 ms |
38852 KB |
Output is correct |
3 |
Correct |
391 ms |
39344 KB |
Output is correct |
4 |
Correct |
335 ms |
39764 KB |
Output is correct |
5 |
Correct |
350 ms |
39940 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
597 ms |
38688 KB |
Output is correct |
2 |
Correct |
768 ms |
38360 KB |
Output is correct |
3 |
Correct |
948 ms |
38448 KB |
Output is correct |
4 |
Correct |
358 ms |
38892 KB |
Output is correct |
5 |
Correct |
454 ms |
39492 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
760 ms |
38928 KB |
Output is correct |
2 |
Correct |
933 ms |
38912 KB |
Output is correct |
3 |
Execution timed out |
1074 ms |
38928 KB |
Time limit exceeded |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
728 ms |
39048 KB |
Output is correct |
2 |
Correct |
917 ms |
38976 KB |
Output is correct |
3 |
Execution timed out |
1090 ms |
39024 KB |
Time limit exceeded |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1089 ms |
63764 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1089 ms |
63768 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1094 ms |
80884 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1083 ms |
80928 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1084 ms |
81096 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1093 ms |
81200 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1098 ms |
80936 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1047 ms |
80888 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1089 ms |
81148 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1080 ms |
80976 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |