//by szh
#include<bits/stdc++.h>
#include "insects.h"
using namespace std;
#define fi first
#define se second
#define pii pair<int,int>
#define pll pair<long long,long long>
#define pb push_back
#define debug(x) cerr<<#x<<"="<<x<<endl
#define pq priority_queue
#define inf 0x3f
#define rep(i,a,b) for (int i=a;i<(b);i++)
#define MP make_pair
#define SZ(x) (int(x.size()))
#define ll long long
#define mod 1000000007
#define ALL(x) x.begin(),x.end()
void inc(int &a,int b) {a=(a+b)%mod;}
void dec(int &a,int b) {a=(a-b+mod)%mod;}
int lowbit(int x) {return x&(-x);}
ll p0w(ll base,ll p) {ll ret=1;while(p>0){if (p%2ll==1ll) ret=ret*base%mod;base=base*base%mod;p/=2ll;}return ret;}
const int maxn = 2010;
int typ[maxn];
bool in[maxn];
int cnt[maxn];
/*
const int kMaxQueries = 40000;
static int N;
// Insect types are compressed to colors in the range [0, N).
static std::vector<int> color;
static std::vector<bool> in_box;
static std::vector<int> color_occurrences;
static std::multiset<int> max_occurrences;
static std::vector<int> op_counter(3, 0);
static inline void protocol_violation(std::string message) {
printf("Protocol Violation: %s\n", message.c_str());
exit(0);
}
void move_inside(int i) {
if (i < 0 || i >= N) {
protocol_violation("invalid parameter");
}
++op_counter[0];
if (op_counter[0] > kMaxQueries) {
protocol_violation("too many calls");
}
if (!in_box[i]) {
in_box[i] = true;
max_occurrences.erase(max_occurrences.find(color_occurrences[color[i]]));
++color_occurrences[color[i]];
max_occurrences.insert(color_occurrences[color[i]]);
}
}
void move_outside(int i) {
if (i < 0 || i >= N) {
protocol_violation("invalid parameter");
}
++op_counter[1];
if (op_counter[1] > kMaxQueries) {
protocol_violation("too many calls");
}
if (in_box[i]) {
in_box[i] = false;
max_occurrences.erase(max_occurrences.find(color_occurrences[color[i]]));
--color_occurrences[color[i]];
max_occurrences.insert(color_occurrences[color[i]]);
}
}
int press_button() {
++op_counter[2];
if (op_counter[2] > kMaxQueries) {
protocol_violation("too many calls");
}
return *(max_occurrences.rbegin());
}
*/
int min_cardinality(int N) {
int cur = 0;
rep(i,0,N) {
move_inside(i);
in[i]=true;
int tmp = press_button();
if (tmp==1) typ[i]=cur++;
else rep(j,0,i) {
if (!in[j]) continue;
move_outside(j);
tmp = press_button();
if (tmp!=1) move_inside(j);
else {
typ[i] = typ[j];
in[j]=false;
break;
}
}
cnt[typ[i]]++;
}
int ret = N;
rep(i,0,cur) ret = min(ret,cnt[i]);
return ret;
}
/*
int main() {
assert(1 == scanf("%d", &N));
color.resize(N);
in_box.assign(N, false);
std::map<int, int> type_to_color;
for (int i = 0; i < N; ++i) {
int Ti;
assert(1 == scanf("%d", &Ti));
if (type_to_color.find(Ti) == type_to_color.end()) {
int new_color = type_to_color.size();
type_to_color[Ti] = new_color;
max_occurrences.insert(0);
}
color[i] = type_to_color[Ti];
}
color_occurrences.assign(type_to_color.size(), 0);
int answer = min_cardinality(N);
int Q = *std::max_element(op_counter.begin(), op_counter.end());
printf("%d\n", answer);
printf("%d\n", Q);
return 0;
}
*/
