#include <bits/stdc++.h>
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL)
#define debug(x) cout << "Line " << __LINE__ << ", " << #x << " is " << x << endl
#define all(x) x.begin(), x.end()
#define fi first
#define se second
#define mp make_pair
#define pb push_back
#define ll long long
#define ull unsigned long long
#define pll pair<ll, ll>
#define pii pair<int, int>
#define pld pair<ld, ld>
#define ld long double
#define nl endl
#define tb '\t'
#define sp ' '
#define sqr(x) (x)*(x)
#define arr3 array<int, 3>
using namespace std;
const int MX=1000005, MOD=1000000007, BLOCK=160, INF=2e9+7, LG=62;
const ll INFF=1000000000000000007;
const ld ERR=1e-3, pi=3.14159265358979323846;
ll N;
ld L;
pld A[MX];
bool valid(ld x){
ld best=0;
for(int i=1; i<=N; i++){
ld dist=sqrt(x*x - A[i].se*A[i].se);
ld le=A[i].fi-dist, ri=A[i].fi+dist;
if(le<=best)
best=max(best, ri);
}
return (L<=best);
}
int main(){
fastio;
cin >> N >> L;
for(int i=1; i<=N; i++){
cin >> A[i].fi >> A[i].se;
}
ld le=0, ri=1e10, mi, ans;
while(le+ERR<=ri){
mi=(le+ri)/2;
if(valid(mi)){
ri=mi;
ans=mi;
}else
le=mi;
}
cout << fixed << setprecision(3) << ans << nl;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
328 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
348 KB |
Output is correct |
2 |
Correct |
3 ms |
340 KB |
Output is correct |
3 |
Correct |
3 ms |
340 KB |
Output is correct |
4 |
Correct |
3 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
468 KB |
Output is correct |
2 |
Correct |
4 ms |
468 KB |
Output is correct |
3 |
Correct |
4 ms |
468 KB |
Output is correct |
4 |
Correct |
6 ms |
568 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
468 KB |
Output is correct |
2 |
Correct |
14 ms |
560 KB |
Output is correct |
3 |
Correct |
4 ms |
472 KB |
Output is correct |
4 |
Correct |
6 ms |
468 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
468 KB |
Output is correct |
2 |
Correct |
4 ms |
468 KB |
Output is correct |
3 |
Correct |
4 ms |
472 KB |
Output is correct |
4 |
Correct |
7 ms |
468 KB |
Output is correct |
5 |
Correct |
6 ms |
468 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
73 ms |
3456 KB |
Output is correct |
2 |
Correct |
69 ms |
3800 KB |
Output is correct |
3 |
Correct |
42 ms |
2532 KB |
Output is correct |
4 |
Correct |
91 ms |
3852 KB |
Output is correct |
5 |
Correct |
41 ms |
2168 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
74 ms |
3404 KB |
Output is correct |
2 |
Correct |
113 ms |
3336 KB |
Output is correct |
3 |
Correct |
92 ms |
3888 KB |
Output is correct |
4 |
Correct |
110 ms |
4004 KB |
Output is correct |
5 |
Correct |
110 ms |
4408 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
61 ms |
3712 KB |
Output is correct |
2 |
Correct |
75 ms |
4056 KB |
Output is correct |
3 |
Correct |
93 ms |
3932 KB |
Output is correct |
4 |
Correct |
143 ms |
5092 KB |
Output is correct |
5 |
Correct |
89 ms |
3940 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
98 ms |
4924 KB |
Output is correct |
2 |
Correct |
81 ms |
4920 KB |
Output is correct |
3 |
Correct |
73 ms |
4400 KB |
Output is correct |
4 |
Correct |
153 ms |
5116 KB |
Output is correct |
5 |
Correct |
132 ms |
4816 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
107 ms |
4880 KB |
Output is correct |
2 |
Correct |
83 ms |
4860 KB |
Output is correct |
3 |
Correct |
102 ms |
4492 KB |
Output is correct |
4 |
Correct |
139 ms |
5020 KB |
Output is correct |
5 |
Correct |
130 ms |
4636 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
464 ms |
17524 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
464 ms |
17676 KB |
Output is correct |
2 |
Correct |
597 ms |
18908 KB |
Output is correct |
3 |
Correct |
459 ms |
17888 KB |
Output is correct |
4 |
Correct |
685 ms |
17992 KB |
Output is correct |
5 |
Correct |
623 ms |
19164 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
468 ms |
20768 KB |
Output is correct |
2 |
Correct |
541 ms |
21204 KB |
Output is correct |
3 |
Correct |
505 ms |
21612 KB |
Output is correct |
4 |
Correct |
911 ms |
22564 KB |
Output is correct |
5 |
Correct |
687 ms |
21968 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
496 ms |
20572 KB |
Output is correct |
2 |
Correct |
733 ms |
21840 KB |
Output is correct |
3 |
Correct |
591 ms |
21968 KB |
Output is correct |
4 |
Correct |
956 ms |
22348 KB |
Output is correct |
5 |
Correct |
775 ms |
21368 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
525 ms |
24276 KB |
Output is correct |
2 |
Correct |
601 ms |
24560 KB |
Output is correct |
3 |
Correct |
610 ms |
23672 KB |
Output is correct |
4 |
Execution timed out |
1024 ms |
25188 KB |
Time limit exceeded |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
626 ms |
25060 KB |
Output is correct |
2 |
Correct |
828 ms |
24636 KB |
Output is correct |
3 |
Correct |
645 ms |
24804 KB |
Output is correct |
4 |
Execution timed out |
1047 ms |
24952 KB |
Time limit exceeded |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
727 ms |
27748 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
701 ms |
27932 KB |
Output is correct |
2 |
Correct |
986 ms |
28084 KB |
Output is correct |
3 |
Correct |
742 ms |
27200 KB |
Output is correct |
4 |
Execution timed out |
1091 ms |
29080 KB |
Time limit exceeded |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
780 ms |
34192 KB |
Output is correct |
2 |
Correct |
929 ms |
35772 KB |
Output is correct |
3 |
Correct |
902 ms |
35844 KB |
Output is correct |
4 |
Execution timed out |
1068 ms |
32352 KB |
Time limit exceeded |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1093 ms |
35628 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |