#include <iostream>
#include <vector>
#include <set>
#include <map>
#include <algorithm>
#include <numeric>
#include <random>
using namespace std;
typedef vector<int> vi;
typedef set<int> si;
typedef vector<vi> vvi;
typedef vector<si> vsi;
typedef vector<bool> vb;
void move_inside(int i);
void move_outside(int i);
int press_button();
int min_cardinality(int N) {
vi x(N);
for (int i = 0; i < N; i++) {
x[i] = i;
}
auto rng = default_random_engine {};
shuffle(x.begin(), x.end(), rng);
vb roots(N, false);
vb inside(N, false);
vb permanent(N, false);
int no_roots = 1;
roots[0] = true;
move_inside(x[0]);
inside[0] = true;
permanent[0] = true;
for (int i = 1; i < N; i++) {
move_inside(x[i]);
inside[i] = true;
if (press_button() == 2) {
move_outside(x[i]);
inside[i] = false;
} else {
roots[i] = true;
permanent[i] = true;
no_roots++;
}
}
vb active(N, true); // remove those which are too big
if (no_roots == 1) {
return N;
}
int no_inside = no_roots;
int high = (N / no_roots) + 1;
int low = 1;
while (low + 1 < high) {
int middle = (low + high) / 2;
for (int i = 0; i < N; i++) {
if ((!inside[i]) && (active[i])) {
move_inside(x[i]);
inside[i] = true;
no_inside++;
if (no_inside >= no_roots + middle) {
if (press_button() > middle) {
move_outside(x[i]);
inside[i] = false;
no_inside--;
}
}
}
}
if (no_inside == middle * no_roots) {
low = middle;
// don't remove them. make them permanent
for (int i = 0; i < N; i++) {
if (inside[i]) {
permanent[i] = true;
}
}
} else {
high = middle;
// deactivate all higher ones
// remove all non-permanent ones
for (int i = 0; i < N; i++) {
if (!inside[i]) {
active[i] = false;
} else if (!permanent[i]) {
move_outside(x[i]);
no_inside--;
inside[i] = false;
}
}
}
}
return low;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
208 KB |
Output is correct |
| 2 |
Correct |
1 ms |
208 KB |
Output is correct |
| 3 |
Correct |
1 ms |
208 KB |
Output is correct |
| 4 |
Correct |
1 ms |
208 KB |
Output is correct |
| 5 |
Correct |
1 ms |
208 KB |
Output is correct |
| 6 |
Correct |
2 ms |
208 KB |
Output is correct |
| 7 |
Correct |
2 ms |
208 KB |
Output is correct |
| 8 |
Correct |
9 ms |
208 KB |
Output is correct |
| 9 |
Correct |
8 ms |
208 KB |
Output is correct |
| 10 |
Correct |
4 ms |
208 KB |
Output is correct |
| 11 |
Correct |
2 ms |
208 KB |
Output is correct |
| 12 |
Correct |
6 ms |
208 KB |
Output is correct |
| 13 |
Correct |
5 ms |
208 KB |
Output is correct |
| 14 |
Correct |
8 ms |
208 KB |
Output is correct |
| 15 |
Correct |
6 ms |
208 KB |
Output is correct |
| 16 |
Correct |
6 ms |
208 KB |
Output is correct |
| 17 |
Correct |
3 ms |
208 KB |
Output is correct |
| 18 |
Correct |
8 ms |
208 KB |
Output is correct |
| 19 |
Correct |
5 ms |
208 KB |
Output is correct |
| 20 |
Correct |
2 ms |
208 KB |
Output is correct |
| 21 |
Correct |
4 ms |
208 KB |
Output is correct |
| 22 |
Correct |
3 ms |
208 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
208 KB |
Output is correct |
| 2 |
Correct |
1 ms |
208 KB |
Output is correct |
| 3 |
Correct |
1 ms |
208 KB |
Output is correct |
| 4 |
Correct |
1 ms |
208 KB |
Output is correct |
| 5 |
Correct |
1 ms |
208 KB |
Output is correct |
| 6 |
Correct |
2 ms |
208 KB |
Output is correct |
| 7 |
Correct |
2 ms |
208 KB |
Output is correct |
| 8 |
Correct |
9 ms |
208 KB |
Output is correct |
| 9 |
Correct |
8 ms |
208 KB |
Output is correct |
| 10 |
Correct |
4 ms |
208 KB |
Output is correct |
| 11 |
Correct |
2 ms |
208 KB |
Output is correct |
| 12 |
Correct |
6 ms |
208 KB |
Output is correct |
| 13 |
Correct |
5 ms |
208 KB |
Output is correct |
| 14 |
Correct |
8 ms |
208 KB |
Output is correct |
| 15 |
Correct |
6 ms |
208 KB |
Output is correct |
| 16 |
Correct |
6 ms |
208 KB |
Output is correct |
| 17 |
Correct |
3 ms |
208 KB |
Output is correct |
| 18 |
Correct |
8 ms |
208 KB |
Output is correct |
| 19 |
Correct |
5 ms |
208 KB |
Output is correct |
| 20 |
Correct |
2 ms |
208 KB |
Output is correct |
| 21 |
Correct |
4 ms |
208 KB |
Output is correct |
| 22 |
Correct |
3 ms |
208 KB |
Output is correct |
| 23 |
Correct |
10 ms |
208 KB |
Output is correct |
| 24 |
Correct |
14 ms |
208 KB |
Output is correct |
| 25 |
Correct |
28 ms |
208 KB |
Output is correct |
| 26 |
Correct |
38 ms |
268 KB |
Output is correct |
| 27 |
Correct |
17 ms |
208 KB |
Output is correct |
| 28 |
Correct |
10 ms |
208 KB |
Output is correct |
| 29 |
Correct |
32 ms |
208 KB |
Output is correct |
| 30 |
Correct |
19 ms |
208 KB |
Output is correct |
| 31 |
Correct |
27 ms |
208 KB |
Output is correct |
| 32 |
Correct |
25 ms |
208 KB |
Output is correct |
| 33 |
Correct |
23 ms |
208 KB |
Output is correct |
| 34 |
Correct |
29 ms |
208 KB |
Output is correct |
| 35 |
Correct |
13 ms |
208 KB |
Output is correct |
| 36 |
Correct |
23 ms |
208 KB |
Output is correct |
| 37 |
Correct |
28 ms |
208 KB |
Output is correct |
| 38 |
Correct |
16 ms |
208 KB |
Output is correct |
| 39 |
Correct |
20 ms |
208 KB |
Output is correct |
| 40 |
Correct |
10 ms |
208 KB |
Output is correct |
| 41 |
Correct |
10 ms |
208 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
208 KB |
Output is correct |
| 2 |
Correct |
1 ms |
208 KB |
Output is correct |
| 3 |
Correct |
0 ms |
208 KB |
Output is correct |
| 4 |
Correct |
0 ms |
208 KB |
Output is correct |
| 5 |
Correct |
0 ms |
208 KB |
Output is correct |
| 6 |
Correct |
1 ms |
208 KB |
Output is correct |
| 7 |
Correct |
21 ms |
208 KB |
Output is correct |
| 8 |
Correct |
10 ms |
208 KB |
Output is correct |
| 9 |
Correct |
61 ms |
208 KB |
Output is correct |
| 10 |
Correct |
31 ms |
208 KB |
Output is correct |
| 11 |
Correct |
36 ms |
208 KB |
Output is correct |
| 12 |
Correct |
31 ms |
208 KB |
Output is correct |
| 13 |
Correct |
56 ms |
208 KB |
Output is correct |
| 14 |
Correct |
50 ms |
208 KB |
Output is correct |
| 15 |
Correct |
62 ms |
208 KB |
Output is correct |
| 16 |
Correct |
51 ms |
208 KB |
Output is correct |
| 17 |
Correct |
64 ms |
208 KB |
Output is correct |
| 18 |
Correct |
51 ms |
256 KB |
Output is correct |
| 19 |
Partially correct |
25 ms |
208 KB |
Output is partially correct |
| 20 |
Correct |
53 ms |
208 KB |
Output is correct |
| 21 |
Correct |
43 ms |
288 KB |
Output is correct |
| 22 |
Correct |
48 ms |
208 KB |
Output is correct |
| 23 |
Correct |
52 ms |
208 KB |
Output is correct |
| 24 |
Correct |
43 ms |
208 KB |
Output is correct |
| 25 |
Correct |
31 ms |
208 KB |
Output is correct |
| 26 |
Correct |
9 ms |
208 KB |
Output is correct |
| 27 |
Correct |
44 ms |
208 KB |
Output is correct |
| 28 |
Correct |
37 ms |
208 KB |
Output is correct |
| 29 |
Partially correct |
54 ms |
208 KB |
Output is partially correct |
| 30 |
Partially correct |
50 ms |
208 KB |
Output is partially correct |
| 31 |
Correct |
47 ms |
208 KB |
Output is correct |
| 32 |
Correct |
58 ms |
208 KB |
Output is correct |
| 33 |
Correct |
44 ms |
208 KB |
Output is correct |
| 34 |
Correct |
47 ms |
208 KB |
Output is correct |
| 35 |
Partially correct |
44 ms |
208 KB |
Output is partially correct |
| 36 |
Partially correct |
63 ms |
208 KB |
Output is partially correct |
| 37 |
Correct |
44 ms |
208 KB |
Output is correct |
| 38 |
Correct |
56 ms |
208 KB |
Output is correct |
| 39 |
Correct |
56 ms |
208 KB |
Output is correct |
| 40 |
Correct |
41 ms |
208 KB |
Output is correct |
| 41 |
Partially correct |
56 ms |
208 KB |
Output is partially correct |
| 42 |
Partially correct |
42 ms |
208 KB |
Output is partially correct |
| 43 |
Correct |
14 ms |
208 KB |
Output is correct |
| 44 |
Correct |
44 ms |
208 KB |
Output is correct |
| 45 |
Correct |
59 ms |
292 KB |
Output is correct |
| 46 |
Correct |
31 ms |
208 KB |
Output is correct |
| 47 |
Correct |
29 ms |
208 KB |
Output is correct |
| 48 |
Correct |
23 ms |
208 KB |
Output is correct |
