This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#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 rd = random_device {};
auto rng = default_random_engine { rd() };
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;
}
if (no_roots == 2) {
// include root[0]
// add next
// press -> get which group
// remove next
int a = 1;
int b = 1;
for (int i = 1; i < N; i++) {
if (roots[i]) {
move_outside(i);
}
}
for (int i = 1; i < N; i++) {
if (!roots[i]) {
move_inside(i);
if (press_button() == 2) {
a++;
} else {
b++;
}
move_outside(i);
}
}
return min<int>(a, b);
}
int no_inside = no_roots;
int high = ((N + no_roots - 1) / no_roots);
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;
}
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