This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//Problem Name: Carnival
//Problem Link: https://oj.uz/problem/view/CEOI14_carnival
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#pragma GCC optimize("Ofast")
using namespace std;
using namespace __gnu_pbds;
#define lg long long
#define ordered_set tree<int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update>
#define fastio ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
#define error(args...) { string _s = #args; replace(_s.begin(), _s.end(), ',', ' '); stringstream _ss(_s); istream_iterator<string> _it(_ss); err(_it, args);
#define lbound(x, y) lower_bound(x.begin(), x.end(), y)
#define ubound(x, y) upper_bound(x.begin(), x.end(), y)
#define sortasc(v) sort(v.begin(), v.end())
#define sortdesc(v) sort(v.rbegin(), v.rend())
#define custom_array(a,l, r) int _##a[r-l+1]; int*a=_##a-l;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const lg MOD = 1e9+7, N = 2e5+5, M = 1e7+1, SZ = 1e3+1;
/*
bitset<N> primes;
lg pwrs[N], inv[N];
lg fast_power(lg n, lg k)
{
if(!k) return 1;
if(k&1) return (fast_power(n, k-1)*n)%MOD;
lg x = fast_power(n, k/2)%MOD;
return (x*x)%MOD;
}
void sieve()
{
primes.set();
primes[0] = primes[1] = 0;
for(lg i = 2; i < N; i++)
{
if(!primes[i]) continue;
for(lg j = i*i; j < N; j += i)
{
primes[j] = 0;
}
}
return;
}
struct matrix
{
vector<vector<lg>> con = vector<vector<lg>> (SZ, vector<lg> (SZ));
matrix operator *(const matrix& a)
{
matrix product;
for(int i = 0; i < (lg)con.size(); i++)
{
for(int j = 0; j < (lg)a.con[0].size(); j++)
{
for(int k = 0; k < (lg)a.con.size(); k++)
{
product.con[i][j] = (product.con[i][j]+(con[i][k]*a.con[k][j])%MOD)%MOD;
}
}
}
return product;
}
};
void preprocess(lg x)
{
inv[2e5] = fast_power(x, MOD-2);
for(int i = 2e5-1; i > 1; i--)
{
inv[i] = (inv[i+1]*i)%MOD;
}
pwrs[0] = 1;
for(int i = 1; i <= 2e5; i++)
{
pwrs[i] = (pwrs[i]*i)%MOD;
}
return;
}
*/
lg par[N], compSize[N];
lg getParent(lg src)
{
if(src == par[src]) return src;
return par[src] = getParent(par[src]);
}
void join(lg u, lg v)
{
u = getParent(u), v = getParent(v);
if(u == v) return;
if(compSize[u] > compSize[v]) swap(u, v);
compSize[v] += compSize[u];
par[u] = v;
return;
}
int main()
{
fastio;
lg n;
cin >> n;
for(int i = 1; i <= n; i++) par[i] = i, compSize[i] = 1;
for(int i = 1; i <= n; i++)
{
bool flag = true;
for(int j = 1; j < i; j++) if(getParent(j) == getParent(i)) flag = false;
if(!flag) continue;
for(int j = i+1; j <= n; j++)
{
if(getParent(i) == getParent(j)) continue;
cout << "2 " << i << ' ' << j << endl;
lg x;
cin >> x;
if(x == 1) join(i, j);
}
}
cout << "0 ";
map<lg, lg> mp;
lg id = 1;
for(int i = 1; i <= n; i++)
{
getParent(i);
if(!mp[par[i]])
{
mp[par[i]] = id++;
}
cout << mp[par[i]] << ' ';
}
cout << endl;
return 0;
}
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