#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 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;
int N;
int L;
pll A[MX];
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;
ld best=0;
for(int i=1; i<=N; i++){
ld dist=sqrt(mi*mi - A[i].se*A[i].se);
ld lef=A[i].fi-dist, rig=A[i].fi+dist;
if(lef<=best)
best=max(best, rig);
}
if(L<=best){
ri=mi;
ans=mi;
}else
le=mi;
}
cout << fixed << setprecision(4) << ans << nl;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
# |
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 |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
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 |
2 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
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 |
2 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
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 |
2 ms |
340 KB |
Output is correct |
5 |
Correct |
2 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
29 ms |
1492 KB |
Output is correct |
2 |
Correct |
23 ms |
1516 KB |
Output is correct |
3 |
Correct |
17 ms |
1108 KB |
Output is correct |
4 |
Correct |
31 ms |
1488 KB |
Output is correct |
5 |
Correct |
14 ms |
1108 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
23 ms |
1552 KB |
Output is correct |
2 |
Correct |
25 ms |
1388 KB |
Output is correct |
3 |
Correct |
26 ms |
1596 KB |
Output is correct |
4 |
Correct |
30 ms |
1480 KB |
Output is correct |
5 |
Correct |
33 ms |
1652 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
22 ms |
1620 KB |
Output is correct |
2 |
Correct |
27 ms |
1488 KB |
Output is correct |
3 |
Correct |
23 ms |
1620 KB |
Output is correct |
4 |
Correct |
39 ms |
1864 KB |
Output is correct |
5 |
Correct |
28 ms |
1700 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
29 ms |
1876 KB |
Output is correct |
2 |
Correct |
42 ms |
1872 KB |
Output is correct |
3 |
Correct |
32 ms |
1876 KB |
Output is correct |
4 |
Correct |
53 ms |
1888 KB |
Output is correct |
5 |
Correct |
39 ms |
1868 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
30 ms |
1996 KB |
Output is correct |
2 |
Correct |
28 ms |
1844 KB |
Output is correct |
3 |
Correct |
33 ms |
1784 KB |
Output is correct |
4 |
Correct |
42 ms |
1876 KB |
Output is correct |
5 |
Correct |
35 ms |
1876 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
146 ms |
8012 KB |
Output is correct |
2 |
Correct |
165 ms |
15924 KB |
Output is correct |
3 |
Correct |
151 ms |
15304 KB |
Output is correct |
4 |
Correct |
215 ms |
17608 KB |
Output is correct |
5 |
Correct |
179 ms |
15052 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
150 ms |
8012 KB |
Output is correct |
2 |
Correct |
235 ms |
8112 KB |
Output is correct |
3 |
Correct |
177 ms |
8136 KB |
Output is correct |
4 |
Correct |
187 ms |
8136 KB |
Output is correct |
5 |
Correct |
166 ms |
8136 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
150 ms |
9600 KB |
Output is correct |
2 |
Correct |
182 ms |
9704 KB |
Output is correct |
3 |
Correct |
180 ms |
9604 KB |
Output is correct |
4 |
Correct |
231 ms |
9672 KB |
Output is correct |
5 |
Correct |
202 ms |
9772 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
192 ms |
9700 KB |
Output is correct |
2 |
Correct |
260 ms |
9716 KB |
Output is correct |
3 |
Correct |
178 ms |
9712 KB |
Output is correct |
4 |
Correct |
231 ms |
9608 KB |
Output is correct |
5 |
Correct |
211 ms |
9704 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
181 ms |
11268 KB |
Output is correct |
2 |
Correct |
263 ms |
11236 KB |
Output is correct |
3 |
Correct |
202 ms |
11272 KB |
Output is correct |
4 |
Correct |
279 ms |
11340 KB |
Output is correct |
5 |
Correct |
237 ms |
11268 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
224 ms |
11340 KB |
Output is correct |
2 |
Correct |
298 ms |
11216 KB |
Output is correct |
3 |
Correct |
192 ms |
11260 KB |
Output is correct |
4 |
Correct |
268 ms |
11264 KB |
Output is correct |
5 |
Correct |
263 ms |
11172 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
195 ms |
12748 KB |
Output is correct |
2 |
Correct |
266 ms |
24020 KB |
Output is correct |
3 |
Correct |
240 ms |
24120 KB |
Output is correct |
4 |
Correct |
341 ms |
22552 KB |
Output is correct |
5 |
Correct |
280 ms |
23884 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
247 ms |
12748 KB |
Output is correct |
2 |
Correct |
358 ms |
12812 KB |
Output is correct |
3 |
Correct |
229 ms |
12912 KB |
Output is correct |
4 |
Correct |
305 ms |
12752 KB |
Output is correct |
5 |
Correct |
274 ms |
12748 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
265 ms |
15960 KB |
Output is correct |
2 |
Correct |
296 ms |
15960 KB |
Output is correct |
3 |
Correct |
290 ms |
16084 KB |
Output is correct |
4 |
Correct |
384 ms |
15956 KB |
Output is correct |
5 |
Correct |
350 ms |
16012 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
321 ms |
15908 KB |
Output is correct |
2 |
Correct |
411 ms |
16012 KB |
Output is correct |
3 |
Correct |
304 ms |
15940 KB |
Output is correct |
4 |
Correct |
391 ms |
16076 KB |
Output is correct |
5 |
Correct |
354 ms |
15948 KB |
Output is correct |