#include "insects.h"

#include <bits/stdc++.h>
using namespace std;


int min_cardinality(int N) {
        vector<bool> vis(N);
        // strategy 1 : large max cardinality

        while(true) {
                vector<int> inc;
                int lst=0;
                for(int i=0;i<N;i++) {
                        if(vis[i]) continue;

                        move_inside(i);
                        int cur=press_button();
                        if(cur>lst) {
                                lst=cur;
                                inc.push_back(i);
                        }
                }

                for(int i=N-1;i>inc.back();i--) {
                        move_outside(i);
                }
                for(int i=inc.back();i>=0;i--) {
                        move_outside(i);
                        int cur=press_button();
                        if(cur<lst) {
                                vis[i]=true;
                        }
                        move_inside(i);
                }
                for(int i=0;i<=inc.back();i++) {
                        move_outside(i);
                }

                bool ok=1;
                for(int i=0;i<N;i++) {
                        ok&=vis[i];
                }

                if(ok) return lst;
                if(lst<=0) break;
        }


        // strategy 2 : small max cardinality

        vector<int> pos;
        for(int i=0;i<N;i++) {
                if(vis[i]) continue;
                move_inside(i);

                if(press_button()==2) {
                        move_outside(i);
                } else {
                        vis[i]=true;
                        pos.push_back(i);
                }
        }
        
        int p=pos.size(),res=1;
        while(true) {
                for(auto x:pos) {
                        move_outside(x);
                }
                pos.clear();

                for(int i=0;i<N;i++) {
                        if(vis[i]) continue;
                        move_inside(i);

                        if(press_button()==2) {
                                move_outside(i);
                        } else {
                                vis[i]=true;
                                pos.push_back(i);
                        }
                }

                if(pos.size()!=p) break;
                res++;
        }

        return res;
}