#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) {
vb roots(N, false);
vb inside(N, false);
vb permanent(N, false);
int no_roots = 1;
roots[0] = true;
move_inside(0);
inside[0] = true;
permanent[0] = true;
for (int i = 1; i < N; i++) {
move_inside(i);
inside[i] = true;
if (press_button() == 2) {
move_outside(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(i);
inside[i] = true;
no_inside++;
if (press_button() > middle) {
move_outside(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(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 |
0 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 |
1 ms |
252 KB |
Output is correct |
6 |
Correct |
3 ms |
268 KB |
Output is correct |
7 |
Correct |
4 ms |
208 KB |
Output is correct |
8 |
Correct |
6 ms |
208 KB |
Output is correct |
9 |
Correct |
4 ms |
208 KB |
Output is correct |
10 |
Correct |
5 ms |
208 KB |
Output is correct |
11 |
Correct |
3 ms |
208 KB |
Output is correct |
12 |
Correct |
4 ms |
208 KB |
Output is correct |
13 |
Correct |
7 ms |
208 KB |
Output is correct |
14 |
Correct |
8 ms |
208 KB |
Output is correct |
15 |
Correct |
3 ms |
208 KB |
Output is correct |
16 |
Correct |
3 ms |
208 KB |
Output is correct |
17 |
Correct |
6 ms |
208 KB |
Output is correct |
18 |
Correct |
4 ms |
256 KB |
Output is correct |
19 |
Correct |
5 ms |
208 KB |
Output is correct |
20 |
Correct |
5 ms |
208 KB |
Output is correct |
21 |
Correct |
6 ms |
208 KB |
Output is correct |
22 |
Correct |
2 ms |
208 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
208 KB |
Output is correct |
2 |
Correct |
0 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 |
1 ms |
252 KB |
Output is correct |
6 |
Correct |
3 ms |
268 KB |
Output is correct |
7 |
Correct |
4 ms |
208 KB |
Output is correct |
8 |
Correct |
6 ms |
208 KB |
Output is correct |
9 |
Correct |
4 ms |
208 KB |
Output is correct |
10 |
Correct |
5 ms |
208 KB |
Output is correct |
11 |
Correct |
3 ms |
208 KB |
Output is correct |
12 |
Correct |
4 ms |
208 KB |
Output is correct |
13 |
Correct |
7 ms |
208 KB |
Output is correct |
14 |
Correct |
8 ms |
208 KB |
Output is correct |
15 |
Correct |
3 ms |
208 KB |
Output is correct |
16 |
Correct |
3 ms |
208 KB |
Output is correct |
17 |
Correct |
6 ms |
208 KB |
Output is correct |
18 |
Correct |
4 ms |
256 KB |
Output is correct |
19 |
Correct |
5 ms |
208 KB |
Output is correct |
20 |
Correct |
5 ms |
208 KB |
Output is correct |
21 |
Correct |
6 ms |
208 KB |
Output is correct |
22 |
Correct |
2 ms |
208 KB |
Output is correct |
23 |
Correct |
12 ms |
208 KB |
Output is correct |
24 |
Correct |
11 ms |
208 KB |
Output is correct |
25 |
Correct |
33 ms |
256 KB |
Output is correct |
26 |
Correct |
31 ms |
208 KB |
Output is correct |
27 |
Correct |
30 ms |
208 KB |
Output is correct |
28 |
Correct |
6 ms |
208 KB |
Output is correct |
29 |
Correct |
29 ms |
208 KB |
Output is correct |
30 |
Correct |
27 ms |
208 KB |
Output is correct |
31 |
Correct |
31 ms |
208 KB |
Output is correct |
32 |
Correct |
28 ms |
208 KB |
Output is correct |
33 |
Correct |
35 ms |
208 KB |
Output is correct |
34 |
Correct |
47 ms |
208 KB |
Output is correct |
35 |
Correct |
27 ms |
208 KB |
Output is correct |
36 |
Correct |
24 ms |
208 KB |
Output is correct |
37 |
Correct |
38 ms |
208 KB |
Output is correct |
38 |
Correct |
22 ms |
208 KB |
Output is correct |
39 |
Correct |
19 ms |
208 KB |
Output is correct |
40 |
Correct |
12 ms |
208 KB |
Output is correct |
41 |
Correct |
7 ms |
208 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
208 KB |
Output is correct |
2 |
Correct |
0 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 |
13 ms |
208 KB |
Output is correct |
8 |
Correct |
16 ms |
208 KB |
Output is correct |
9 |
Correct |
57 ms |
208 KB |
Output is correct |
10 |
Correct |
47 ms |
208 KB |
Output is correct |
11 |
Correct |
39 ms |
208 KB |
Output is correct |
12 |
Correct |
30 ms |
208 KB |
Output is correct |
13 |
Correct |
56 ms |
208 KB |
Output is correct |
14 |
Correct |
24 ms |
280 KB |
Output is correct |
15 |
Correct |
37 ms |
208 KB |
Output is correct |
16 |
Correct |
50 ms |
208 KB |
Output is correct |
17 |
Correct |
61 ms |
208 KB |
Output is correct |
18 |
Correct |
45 ms |
208 KB |
Output is correct |
19 |
Partially correct |
54 ms |
292 KB |
Output is partially correct |
20 |
Correct |
46 ms |
208 KB |
Output is correct |
21 |
Correct |
29 ms |
288 KB |
Output is correct |
22 |
Correct |
58 ms |
208 KB |
Output is correct |
23 |
Correct |
39 ms |
208 KB |
Output is correct |
24 |
Correct |
38 ms |
208 KB |
Output is correct |
25 |
Correct |
33 ms |
208 KB |
Output is correct |
26 |
Correct |
22 ms |
208 KB |
Output is correct |
27 |
Correct |
65 ms |
208 KB |
Output is correct |
28 |
Correct |
39 ms |
208 KB |
Output is correct |
29 |
Partially correct |
44 ms |
208 KB |
Output is partially correct |
30 |
Partially correct |
27 ms |
208 KB |
Output is partially correct |
31 |
Correct |
58 ms |
280 KB |
Output is correct |
32 |
Correct |
37 ms |
280 KB |
Output is correct |
33 |
Correct |
55 ms |
208 KB |
Output is correct |
34 |
Correct |
64 ms |
208 KB |
Output is correct |
35 |
Partially correct |
50 ms |
208 KB |
Output is partially correct |
36 |
Partially correct |
52 ms |
208 KB |
Output is partially correct |
37 |
Correct |
49 ms |
280 KB |
Output is correct |
38 |
Correct |
46 ms |
280 KB |
Output is correct |
39 |
Correct |
51 ms |
208 KB |
Output is correct |
40 |
Correct |
51 ms |
208 KB |
Output is correct |
41 |
Partially correct |
25 ms |
208 KB |
Output is partially correct |
42 |
Partially correct |
25 ms |
208 KB |
Output is partially correct |
43 |
Correct |
10 ms |
208 KB |
Output is correct |
44 |
Correct |
34 ms |
208 KB |
Output is correct |
45 |
Correct |
55 ms |
208 KB |
Output is correct |
46 |
Correct |
30 ms |
208 KB |
Output is correct |
47 |
Correct |
23 ms |
208 KB |
Output is correct |
48 |
Correct |
18 ms |
208 KB |
Output is correct |