This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//#pragma GCC optimize("Ofast", "unroll-loops")
//#pragma GCC target("sse", "sse2", "sse3", "ssse3", "sse4")
#ifdef __APPLE__
#include <iostream>
#include <cmath>
#include <algorithm>
#include <cstdio>
#include <cstdint>
#include <cstring>
#include <string>
#include <cstdlib>
#include <vector>
#include <bitset>
#include <map>
#include <queue>
#include <ctime>
#include <stack>
#include <set>
#include <list>
#include <random>
#include <deque>
#include <functional>
#include <iomanip>
#include <sstream>
#include <fstream>
#include <complex>
#include <numeric>
#include <immintrin.h>
#include <cassert>
#include <array>
#include <tuple>
#include <unordered_map>
#include <unordered_set>
#include <thread>
#else
#include <bits/stdc++.h>
#endif
#define all(a) a.begin(),a.end()
#define len(a) (int)(a.size())
#define mp make_pair
#define pb push_back
#define fir first
#define sec second
#define fi first
#define se second
using namespace std;
typedef pair<int, int> pii;
typedef long long ll;
typedef long double ld;
template<typename T>
bool umin(T &a, T b) {
if (b < a) {
a = b;
return true;
}
return false;
}
template<typename T>
bool umax(T &a, T b) {
if (a < b) {
a = b;
return true;
}
return false;
}
#if __APPLE__
#define D for (bool _FLAG = true; _FLAG; _FLAG = false)
#define LOG(...) print(#__VA_ARGS__" ::", __VA_ARGS__) << endl
template<class ...Ts>
auto &print(Ts ...ts) { return ((cerr << ts << " "), ...); }
#else
#define D while (false)
#define LOG(...)
#endif
//mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
bool is_prime(int number) {
if (number <= 1) {
return false;
}
for (int i = 2; i * i <= number; ++i) {
if (number % i == 0) {
return false;
}
}
return true;
}
int next_prime(int number) {
for (int i = number + 1; ; ++i) {
if (is_prime(i)) {
return i;
}
}
}
const int seed = chrono::steady_clock::now().time_since_epoch().count();
mt19937 generator(seed);
int rnd() {
return generator() >> 1;
}
int rnd(int r) {
return rnd() % r;
}
int rnd(int l, int r) {
return l + rnd(r - l + 1);
}
const int DEFAULT_BASE[] = {next_prime(300 + rnd(5000)),
next_prime(300 + rnd(5000))};
const int DEFAULT_MOD = next_prime(1000000000 + rnd(100000));
class HashInt {
public:
HashInt() {
}
HashInt(const string &s, char min_c = 'a', int
base = DEFAULT_BASE[0], int mod = DEFAULT_MOD): mod(mod), h(s.length()), pw(s.length()) {
pw[0] = 1;
for (int i = 1; i < s.length(); ++i) {
pw[i] = (1LL * pw[i - 1] * base) % mod;
}
h[0] = s[0] - min_c + 1;
for (int i = 1; i < s.length(); ++i) {
h[i] = (1LL * h[i - 1] * base + s[i] - min_c + 1) % mod;
}
}
int get_hash(int l, int r) const {
if (!l) {
return h[r];
}
return ((h[r] - 1LL * h[l - 1] * pw[r - l + 1]) % mod + mod) % mod;
}
int combine(int lhs, int rhs, int len_rhs) {
return ((1ll * lhs * pw[len_rhs]) % mod + rhs) % mod;
}
private:
vector<int> h, pw;
int mod;
};
class HashLong {
public:
HashLong() {
}
HashLong(const string &s, char min_c = 'a', int base = DEFAULT_BASE[0]): h(s.length()), pw(s.length()) {
pw[0] = 1;
for (int i = 1; i < s.length(); ++i) {
pw[i] = pw[i - 1] * base;
}
h[0] = s[0] - min_c + 1;
for (int i = 1; i < s.length(); ++i) {
h[i] = h[i - 1] * base + s[i] - min_c + 1;
}
}
long long get_hash(int l, int r) const {
if (!l) {
return h[r];
}
return h[r] - h[l - 1] * pw[r - l + 1];
}
long long combine(long long lhs, long long rhs, int len_rhs) {
return lhs * pw[len_rhs] + rhs;
}
private:
vector<long long> h, pw;
};
class Hash {
public:
Hash() {
}
Hash(const string &s, char min_c = 'a',
int base1 = DEFAULT_BASE[0], int base2 = DEFAULT_BASE[1],
int mod = DEFAULT_MOD): h1(s, min_c, base1), h2(s, min_c, base2, mod) {
}
pair<long long, int> get_hash(int l, int r) {
return {h1.get_hash(l, r), h2.get_hash(l, r)};
}
pair<long long, int> combine(pair<long long, int> lhs, pair<long long, int> rhs, int len_rhs) {
return {h1.combine(lhs.fi, rhs.fi, len_rhs), h2.combine(lhs.se, rhs.se, len_rhs)};
}
private:
HashLong h1;
HashInt h2;
};
void solve() {
int n; cin >> n;
string s; cin >> s;
vector<pair<ll, ll> > hashes;
int pos_delete = -1;
if(n % 2 == 0) { cout << "NOT POSSIBLE\n"; return; }
Hash h(s, 'A');
int len = n / 2;
if(h.get_hash(1, 1 + len - 1) == h.get_hash(1 + len, n - 1)) {
hashes.pb(h.get_hash(1, 1 + len - 1));
pos_delete = 0;
}
if(h.get_hash(0, len - 1) == h.get_hash(len + 1, n - 1)) {
hashes.pb(h.get_hash(0, len - 1));
pos_delete = len;
}
if(h.get_hash(0, len - 1) == h.get_hash(len, len + len - 1)) {
hashes.pb(h.get_hash(0, len - 1));
pos_delete = n - 1;
}
for(int i = 1; i < len; i++) {
auto lhsh = h.combine(h.get_hash(0, i - 1), h.get_hash(i + 1, len), len - i);
auto rhsh = h.get_hash(len + 1, n - 1);
if(lhsh == rhsh) {
pos_delete = i;
hashes.pb(lhsh);
}
}
for(int i = n - 2; i > n - len - 1; i--) {
auto rhsh = h.combine(h.get_hash(n - len - 1, i - 1), h.get_hash(i + 1, n - 1), n - 1 - i);
auto lhsh = h.get_hash(0, len - 1);
if(lhsh == rhsh) {
pos_delete = i;
hashes.pb(lhsh);
}
}
sort(all(hashes)); hashes.resize(unique(all(hashes)) - hashes.begin());
if(len(hashes) == 0) cout << "NOT POSSIBLE\n";
else if(len(hashes) == 1) {
string ans;
for(int i = 0; i < n && len(ans) < n / 2; i++)
if(i != pos_delete) ans.pb(s[i]);
cout << ans << '\n';
} else cout << "NOT UNIQUE";
}
signed main() {
// freopen("input.txt", "r", stdin);
// freopen("output.txt", "w", stdout);
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int t = 1;
//cin >> t;
while (t--) solve();
}
/*
KIVI
*/
Compilation message (stderr)
friends.cpp: In constructor 'HashInt::HashInt(const string&, char, int, int)':
friends.cpp:159:9: warning: 'HashInt::mod' will be initialized after [-Wreorder]
159 | int mod;
| ^~~
friends.cpp:158:17: warning: 'std::vector<int> HashInt::h' [-Wreorder]
158 | vector<int> h, pw;
| ^
friends.cpp:133:5: warning: when initialized here [-Wreorder]
133 | HashInt(const string &s, char min_c = 'a', int
| ^~~~~~~
friends.cpp:137:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
137 | for (int i = 1; i < s.length(); ++i) {
| ~~^~~~~~~~~~~~
friends.cpp:141:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
141 | for (int i = 1; i < s.length(); ++i) {
| ~~^~~~~~~~~~~~
friends.cpp: In constructor 'HashLong::HashLong(const string&, char, int)':
friends.cpp:169:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
169 | for (int i = 1; i < s.length(); ++i) {
| ~~^~~~~~~~~~~~
friends.cpp:173:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
173 | for (int i = 1; i < s.length(); ++i) {
| ~~^~~~~~~~~~~~
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