#include "bits/stdc++.h"
#define st first
#define nd second
using lint = int64_t;
constexpr int MOD = int(1e9) + 7;
constexpr int INF = 0x3f3f3f3f;
constexpr int NINF = 0xcfcfcfcf;
constexpr lint LINF = 0x3f3f3f3f3f3f3f3f;
const long double PI = acosl(-1.0);
// Returns -1 if a < b, 0 if a = b and 1 if a > b.
int cmp_double(double a, double b = 0, double eps = 1e-9) {
return a + eps > b ? b + eps > a ? 0 : 1 : -1;
}
using namespace std;
using ld = double;
int main() {
cin.tie(nullptr)->sync_with_stdio(false);
int n;
lint length;
cin>>n>>length;
vector<lint> x(n), y(n);
for(int i=0; i<n; i++)
cin>>x[i]>>y[i];
ld l = 0, r = length;
int it = 41;
while(it--){
ld mid = (l+r)/2;
ld lastX = 0;
for(int i=0; i<n; i++){
ld xaux = sqrtl(mid*mid - y[i]*y[i]);
ld a = x[i] - xaux;
ld b = x[i] + xaux;
if(a <= lastX + 1e-9)
lastX = max(lastX, b);
}
if(length <= lastX + 1e-9) r = mid;
else l = mid;
}
cout<<fixed<<setprecision(5)<<r<<"\n";
return 0;
}
/*
[ ]Leu o problema certo???
[ ]Ver se precisa de long long
[ ]Viu o limite dos fors (é n? é m?)
[ ]Tamanho do vetor, será que é 2e5 em vez de 1e5??
[ ]Testar sample
[ ]Testar casos de borda
[ ]1LL no 1LL << i
[ ]Testar mod (é 1e9+7, mesmo?, será que o mod não ficou negativo?)
*/
# |
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 |
0 ms |
320 KB |
Output is correct |
4 |
Correct |
0 ms |
316 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 |
1 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
444 KB |
Output is correct |
2 |
Correct |
2 ms |
468 KB |
Output is correct |
3 |
Correct |
2 ms |
340 KB |
Output is correct |
4 |
Correct |
7 ms |
468 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
340 KB |
Output is correct |
2 |
Correct |
4 ms |
468 KB |
Output is correct |
3 |
Correct |
3 ms |
340 KB |
Output is correct |
4 |
Correct |
5 ms |
472 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
324 KB |
Output is correct |
2 |
Correct |
2 ms |
468 KB |
Output is correct |
3 |
Correct |
3 ms |
340 KB |
Output is correct |
4 |
Correct |
4 ms |
488 KB |
Output is correct |
5 |
Correct |
5 ms |
340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
55 ms |
2160 KB |
Output is correct |
2 |
Correct |
27 ms |
2164 KB |
Output is correct |
3 |
Correct |
24 ms |
1748 KB |
Output is correct |
4 |
Correct |
61 ms |
2132 KB |
Output is correct |
5 |
Correct |
37 ms |
1492 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
58 ms |
2180 KB |
Output is correct |
2 |
Correct |
56 ms |
2064 KB |
Output is correct |
3 |
Correct |
62 ms |
2228 KB |
Output is correct |
4 |
Correct |
73 ms |
2208 KB |
Output is correct |
5 |
Correct |
69 ms |
2316 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
26 ms |
2332 KB |
Output is correct |
2 |
Correct |
28 ms |
2140 KB |
Output is correct |
3 |
Correct |
36 ms |
2260 KB |
Output is correct |
4 |
Correct |
81 ms |
2444 KB |
Output is correct |
5 |
Correct |
74 ms |
2364 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
37 ms |
2772 KB |
Output is correct |
2 |
Correct |
34 ms |
2516 KB |
Output is correct |
3 |
Correct |
44 ms |
2516 KB |
Output is correct |
4 |
Correct |
85 ms |
2528 KB |
Output is correct |
5 |
Correct |
79 ms |
2636 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
35 ms |
2772 KB |
Output is correct |
2 |
Correct |
41 ms |
2424 KB |
Output is correct |
3 |
Correct |
44 ms |
2508 KB |
Output is correct |
4 |
Correct |
83 ms |
2516 KB |
Output is correct |
5 |
Correct |
76 ms |
2516 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
151 ms |
9044 KB |
Output is correct |
2 |
Correct |
175 ms |
8792 KB |
Output is correct |
3 |
Correct |
166 ms |
8712 KB |
Output is correct |
4 |
Correct |
393 ms |
8788 KB |
Output is correct |
5 |
Correct |
377 ms |
8652 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
174 ms |
9040 KB |
Output is correct |
2 |
Correct |
361 ms |
8836 KB |
Output is correct |
3 |
Correct |
218 ms |
8532 KB |
Output is correct |
4 |
Correct |
401 ms |
8532 KB |
Output is correct |
5 |
Correct |
383 ms |
8532 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
184 ms |
10700 KB |
Output is correct |
2 |
Correct |
209 ms |
10344 KB |
Output is correct |
3 |
Correct |
200 ms |
10344 KB |
Output is correct |
4 |
Correct |
485 ms |
10436 KB |
Output is correct |
5 |
Correct |
454 ms |
10092 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
209 ms |
10604 KB |
Output is correct |
2 |
Correct |
425 ms |
10316 KB |
Output is correct |
3 |
Correct |
267 ms |
10096 KB |
Output is correct |
4 |
Correct |
470 ms |
10068 KB |
Output is correct |
5 |
Correct |
460 ms |
10092 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
220 ms |
12168 KB |
Output is correct |
2 |
Correct |
238 ms |
11792 KB |
Output is correct |
3 |
Correct |
230 ms |
11860 KB |
Output is correct |
4 |
Correct |
557 ms |
11788 KB |
Output is correct |
5 |
Correct |
526 ms |
11724 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
241 ms |
12172 KB |
Output is correct |
2 |
Correct |
490 ms |
11848 KB |
Output is correct |
3 |
Correct |
301 ms |
11664 KB |
Output is correct |
4 |
Correct |
565 ms |
11604 KB |
Output is correct |
5 |
Correct |
565 ms |
11660 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
233 ms |
13644 KB |
Output is correct |
2 |
Correct |
284 ms |
13268 KB |
Output is correct |
3 |
Correct |
269 ms |
13348 KB |
Output is correct |
4 |
Correct |
637 ms |
13352 KB |
Output is correct |
5 |
Correct |
602 ms |
13260 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
276 ms |
13652 KB |
Output is correct |
2 |
Correct |
593 ms |
13352 KB |
Output is correct |
3 |
Correct |
346 ms |
13140 KB |
Output is correct |
4 |
Correct |
645 ms |
13092 KB |
Output is correct |
5 |
Correct |
614 ms |
13132 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
316 ms |
16480 KB |
Output is correct |
2 |
Correct |
340 ms |
16224 KB |
Output is correct |
3 |
Correct |
333 ms |
16224 KB |
Output is correct |
4 |
Correct |
802 ms |
15992 KB |
Output is correct |
5 |
Correct |
786 ms |
29660 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
340 ms |
15956 KB |
Output is correct |
2 |
Correct |
706 ms |
15980 KB |
Output is correct |
3 |
Correct |
456 ms |
16112 KB |
Output is correct |
4 |
Correct |
822 ms |
16076 KB |
Output is correct |
5 |
Correct |
785 ms |
30736 KB |
Output is correct |