#include <bits/stdc++.h>
#define lsb(x) (x & (-x))
#define ll long long
#define ull unsigned long long
// 217
// 44
using namespace std;
const long double eps = 1e-9;
const long double INF = 1e18;
const int MAXN = (int) 1e6;
struct Point {
long double x, y;
}pts[MAXN + 1];
inline long double dist(Point a, Point b) {
return sqrt(1LL * (a.x - b.x) * (a.x - b.x) + 1LL * (a.y - b.y) * (a.y - b.y));
}
struct Data {
long double l, r;
int id;
};
vector <Data> stk;
inline bool eq(long double a, long double b) {
return fabs(a - b) < eps;
}
long double L;
inline bool ok(long double &l, long double &r, Point b) {
Point a = pts[stk.back().id];
if(eq(a.x, b.x)) {
return 0;
}
long double x = 1.0 * (b.x * b.x + b.y * b.y - a.x * a.x - a.y * a.y) / (2 * (b.x - a.x));
if(x > L) {
return 0;
}
x = max(x, (long double) 0.0);
if(x - stk.back().l > 0) {
stk.back().r = x;
l = x;
r = L;
return 0;
}
l = stk.back().l;
r = L;
return 1;
}
int main() {
//ifstream cin("B.in");
//ofstream cout("B.out");
int i, n;
ios::sync_with_stdio(false);
cin.tie(0), cout.tie(0);
cin >> n >> L;
int sz = 0;
for(i = 1; i <= n; i++) {
long double x, y;
cin >> x >> y;
y = fabs(y);
if(sz > 0 && eq(x, pts[sz].x)) {
pts[sz].y = min(pts[sz].y, y);
}
else {
pts[++sz] = {x, y};
}
}
n = sz;
stk.push_back({0, L, 1});
for(i = 2; i <= n; i++) {
long double l = INF, r = -INF;
while(!stk.empty()) {
if(ok(l, r, pts[i])) {
stk.pop_back();
}
else {
break;
}
}
if(r - l > 0) {
stk.push_back({l, r, i});
}
}
long double ans = 0;
for(auto it : stk) {
ans = max(ans, dist(pts[it.id], {it.l, 0}));
ans = max(ans, dist(pts[it.id], {it.r, 0}));
}
cout << fixed << setprecision(20) << ans;
//cin.close();
//cout.close();
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
384 KB |
Output is correct |
3 |
Correct |
2 ms |
592 KB |
Output is correct |
4 |
Correct |
2 ms |
592 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
592 KB |
Output is correct |
2 |
Correct |
2 ms |
592 KB |
Output is correct |
3 |
Correct |
3 ms |
592 KB |
Output is correct |
4 |
Correct |
2 ms |
592 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
608 KB |
Output is correct |
2 |
Correct |
4 ms |
1024 KB |
Output is correct |
3 |
Correct |
3 ms |
1024 KB |
Output is correct |
4 |
Correct |
5 ms |
1024 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
1024 KB |
Output is correct |
2 |
Correct |
8 ms |
1176 KB |
Output is correct |
3 |
Correct |
5 ms |
1176 KB |
Output is correct |
4 |
Correct |
6 ms |
1176 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
1176 KB |
Output is correct |
2 |
Correct |
5 ms |
1292 KB |
Output is correct |
3 |
Correct |
5 ms |
1292 KB |
Output is correct |
4 |
Correct |
10 ms |
1296 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
1500 KB |
Output is correct |
2 |
Correct |
5 ms |
1524 KB |
Output is correct |
3 |
Correct |
6 ms |
1524 KB |
Output is correct |
4 |
Correct |
6 ms |
1632 KB |
Output is correct |
5 |
Correct |
4 ms |
1632 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
46 ms |
4704 KB |
Output is correct |
2 |
Correct |
52 ms |
5108 KB |
Output is correct |
3 |
Correct |
36 ms |
5804 KB |
Output is correct |
4 |
Correct |
65 ms |
7528 KB |
Output is correct |
5 |
Correct |
27 ms |
7528 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
44 ms |
7528 KB |
Output is correct |
2 |
Correct |
43 ms |
8228 KB |
Output is correct |
3 |
Correct |
74 ms |
10440 KB |
Output is correct |
4 |
Correct |
56 ms |
11864 KB |
Output is correct |
5 |
Correct |
66 ms |
13592 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
98 ms |
20540 KB |
Output is correct |
2 |
Correct |
57 ms |
20540 KB |
Output is correct |
3 |
Correct |
64 ms |
20540 KB |
Output is correct |
4 |
Correct |
78 ms |
20540 KB |
Output is correct |
5 |
Correct |
53 ms |
20540 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
78 ms |
20540 KB |
Output is correct |
2 |
Correct |
68 ms |
20732 KB |
Output is correct |
3 |
Correct |
72 ms |
21436 KB |
Output is correct |
4 |
Correct |
86 ms |
25524 KB |
Output is correct |
5 |
Correct |
65 ms |
26212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
73 ms |
28544 KB |
Output is correct |
2 |
Correct |
69 ms |
28544 KB |
Output is correct |
3 |
Correct |
58 ms |
28544 KB |
Output is correct |
4 |
Correct |
87 ms |
28544 KB |
Output is correct |
5 |
Correct |
63 ms |
28544 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
395 ms |
65492 KB |
Output is correct |
2 |
Correct |
338 ms |
65492 KB |
Output is correct |
3 |
Correct |
325 ms |
65492 KB |
Output is correct |
4 |
Correct |
382 ms |
65492 KB |
Output is correct |
5 |
Correct |
318 ms |
65492 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
346 ms |
65492 KB |
Output is correct |
2 |
Correct |
391 ms |
65492 KB |
Output is correct |
3 |
Correct |
280 ms |
65492 KB |
Output is correct |
4 |
Correct |
369 ms |
65492 KB |
Output is correct |
5 |
Correct |
339 ms |
65492 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
444 ms |
93188 KB |
Output is correct |
2 |
Correct |
394 ms |
93188 KB |
Output is correct |
3 |
Correct |
381 ms |
93188 KB |
Output is correct |
4 |
Correct |
461 ms |
93188 KB |
Output is correct |
5 |
Correct |
412 ms |
93188 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
406 ms |
93188 KB |
Output is correct |
2 |
Correct |
521 ms |
93188 KB |
Output is correct |
3 |
Correct |
377 ms |
93188 KB |
Output is correct |
4 |
Correct |
452 ms |
93188 KB |
Output is correct |
5 |
Correct |
406 ms |
93188 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
459 ms |
96468 KB |
Output is correct |
2 |
Correct |
502 ms |
96468 KB |
Output is correct |
3 |
Correct |
492 ms |
96468 KB |
Output is correct |
4 |
Correct |
552 ms |
96468 KB |
Output is correct |
5 |
Correct |
440 ms |
96468 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
456 ms |
96468 KB |
Output is correct |
2 |
Correct |
470 ms |
96468 KB |
Output is correct |
3 |
Correct |
410 ms |
96468 KB |
Output is correct |
4 |
Correct |
560 ms |
96468 KB |
Output is correct |
5 |
Correct |
458 ms |
96468 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
529 ms |
99488 KB |
Output is correct |
2 |
Correct |
566 ms |
99488 KB |
Output is correct |
3 |
Correct |
509 ms |
99488 KB |
Output is correct |
4 |
Correct |
635 ms |
99488 KB |
Output is correct |
5 |
Correct |
515 ms |
99488 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
536 ms |
99488 KB |
Output is correct |
2 |
Correct |
535 ms |
99488 KB |
Output is correct |
3 |
Correct |
458 ms |
99488 KB |
Output is correct |
4 |
Correct |
622 ms |
99488 KB |
Output is correct |
5 |
Correct |
529 ms |
99488 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
639 ms |
117364 KB |
Output is correct |
2 |
Correct |
653 ms |
117364 KB |
Output is correct |
3 |
Correct |
648 ms |
117364 KB |
Output is correct |
4 |
Correct |
763 ms |
117500 KB |
Output is correct |
5 |
Correct |
628 ms |
117500 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
687 ms |
117500 KB |
Output is correct |
2 |
Runtime error |
685 ms |
132096 KB |
Memory limit exceeded: We have a known bug that the memory usage is measured incorrectly (possibly because of Meltdown/Spectre patch), so your solution may be correct. Please submit again. Sorry for the inconvenience. |
3 |
Halted |
0 ms |
0 KB |
- |