#include "insects.h"
#include <vector>
int min_cardinality(int N) {
std::vector<std::vector<int>> same(N, std::vector<int>(N));
for (int i = 0; i < N; ++i) {
move_inside(i);
for (int j = i + 1; j < N; ++j) {
move_inside(j);
same[i][j] = same[j][i] = press_button() - 1;
move_outside(j);
}
move_outside(i);
}
std::vector<int> color(N);
int min = 1e9;
for (int i = 0; i < N; ++i) {
if (color[i]) continue;
std::vector<int> stack = {i};
int cursz = 0;
while (!stack.empty()) {
int now = stack.back();
stack.pop_back();
if (color[now]) continue;
++cursz;
color[now] = 1;
for (int j = 0; j < N; ++j) {
if (same[i][j]) stack.push_back(j);
}
}
min = std::min(min, cursz);
}
return min;
}
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