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// #pragma GCC optimize("Ofast")
// #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx")
// #pragma GCC optimize("unroll-loops")    
#include <bits/stdc++.h>
#define pb push_back
#define x first
#define y second
#define mp make_pair
#define len(a) int(a.size())
#define files(FILENAME) read(FILENAME); write(FILENAME)
#define read(FILENAME) freopen((string(FILENAME) + ".in").c_str(), "r", stdin)
#define write(FILENAME) freopen((string(FILENAME) + ".out").c_str(), "w", stdout)
using namespace std;
        
template<typename T1, typename T2>inline void chkmin(T1 &x, T2 y) { if (x > y) x = y; }
template<typename T1, typename T2>inline void chkmax(T1 &x, T2 y) { if (x < y) x = y; } 
template<typename T, typename U> inline ostream &operator<< (ostream &_out, const pair<T, U> &_p) { _out << _p.first << ' ' << _p.second; return _out; }
template<typename T, typename U> inline istream &operator>> (istream &_in, pair<T, U> &_p) { _in >> _p.first >> _p.second; return _in; }
template<typename T> inline ostream &operator<< (ostream &_out, const vector<T> &_v) { if (_v.empty()) { return _out; } _out << _v.front(); for (auto _it = ++_v.begin(); _it != _v.end(); ++_it) { _out << ' ' << *_it; } return _out; }
template<typename T> inline istream &operator>> (istream &_in, vector<T> &_v) { for (auto &_i : _v) { _in >> _i; } return _in; }
template<typename T> inline ostream &operator<< (ostream &_out, const set<T> &_s) { if (_s.empty()) { return _out; } _out << *_s.begin(); for (auto _it = ++_s.begin(); _it != _s.end(); ++_it) { _out << ' ' << *_it; } return _out; }
template<typename T> inline ostream &operator<< (ostream &_out, const multiset<T> &_s) { if (_s.empty()) { return _out; } _out << *_s.begin(); for (auto _it = ++_s.begin(); _it != _s.end(); ++_it) { _out << ' ' << *_it; } return _out; }
template<typename T> inline ostream &operator<< (ostream &_out, const unordered_set<T> &_s) { if (_s.empty()) { return _out; } _out << *_s.begin(); for (auto _it = ++_s.begin(); _it != _s.end(); ++_it) { _out << ' ' << *_it; } return _out; }
template<typename T> inline ostream &operator<< (ostream &_out, const unordered_multiset<T> &_s) { if (_s.empty()) { return _out; } _out << *_s.begin(); for (auto _it = ++_s.begin(); _it != _s.end(); ++_it) { _out << ' ' << *_it; } return _out; }
template<typename T, typename U> inline ostream &operator<< (ostream &_out, const map<T, U> &_m) { if (_m.empty()) { return _out; } _out << '(' << _m.begin()->first << ": " << _m.begin()->second << ')'; for (auto _it = ++_m.begin(); _it != _m.end(); ++_it) { _out << ", (" << _it->first << ": " << _it->second << ')'; } return _out; }
template<typename T, typename U> inline ostream &operator<< (ostream &_out, const unordered_map<T, U> &_m) { if (_m.empty()) { return _out; } _out << '(' << _m.begin()->first << ": " << _m.begin()->second << ')'; for (auto _it = ++_m.begin(); _it != _m.end(); ++_it) { _out << ", (" << _it->first << ": " << _it->second << ')'; } return _out; }
        
typedef unsigned long long base; 
typedef pair<int, int> point;      
typedef complex<double> comp;

const int N = 2e5 + 5;
const int LOG = 40;

base n;
base k;
vector<int> a;
base nxt[LOG][N];
int lst[N];

base curt = 0;
vector<int> ans;

int main() {
    ios::sync_with_stdio(0);
    srand(time(0));
    cin >> n >> k;
    a.resize(n);
    cin >> a;
    for (int i = 0; i < n; ++i) {
        a.pb(a[i]);
        lst[a[i]] = -1;
    }
    for (int i = 0; i < n * 2; ++i) {
        if (lst[a[i]] != -1 && lst[a[i]] < n) {
            nxt[0][lst[a[i]]] = i - lst[a[i]];
        }
        lst[a[i]] = i;
    }
    for (int t = 0; t + 1 < LOG; ++t) {
        for (int i = 0; i < n; ++i) {
            int j = (i + nxt[t][i] + 1) % n;
            nxt[t + 1][i] = nxt[t][i] + 1 + nxt[t][j];
            chkmin(nxt[t + 1][i], 1e18);
        }
    }
    curt = 0;
    while (curt < n * k) {
        int i = curt % n;
        for (int step = 5; step--;) {
            for (int t = LOG; t--;) {
                base v = nxt[t][i];
                if (curt + v < n * k) {
                    curt += v + 1;
                    i = curt % n;
                    ++t;
                }
            }
        }
        if (curt < n * k) {
            ans.pb(a[i]);
            ++curt;
        }
    }
    cout << ans << '\n';
}  


Measured memory_bytes: 68208