This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define DEBUG 0
using namespace std;
const int MAX_N = 2e6 + 10;
const int P = 31;
const long long MOD = 1e18 + 7;
char S[MAX_N];
long long Hash[MAX_N];
long long divide[MAX_N];
long long add(const long long &a, const long long &b) {
return (a + b) % MOD;
}
long long subtract(const long long &a, const long long &b) {
return ((a - b) % MOD + MOD) % MOD;
}
long long multiply(const long long &a, const long long &b) {
return a * b % MOD;
}
int main() {
cin.tie(0)->sync_with_stdio(0);
int N;
cin >> N >> (S + 1);
if(N % 2 == 0) {
cout << "NOT POSSIBLE";
return 0;
}
int n = (N - 1) / 2;
divide[0] = 1;
for(int i = 1; i <= N; i++) {
divide[i] = multiply(divide[i - 1], P);
Hash[i] = add(multiply(Hash[i - 1], P), (S[i] - 'A' + 1));
}
vector <int> ans;
long long H1, H2;
for(int i = 1; i <= n; i++) {
H1 = multiply(Hash[i - 1], divide[n - i + 1]);
H1 = add(H1, subtract(Hash[n + 1], multiply(Hash[i], divide[n - i + 1])));
H2 = subtract(Hash[N], multiply(Hash[n + 1], divide[n]));
if(H1 == H2) {
ans.push_back(i - 1);
}
}
for(int i = n + 1; i <= N; i++) {
H1 = Hash[n];
H2 = multiply(subtract(Hash[i - 1], multiply(Hash[n], divide[i - n - 1])), divide[N - i]);
H2 = add(H2, subtract(Hash[N], multiply(Hash[i], divide[N - i])));
if(H1 == H2) {
ans.push_back(n);
}
}
if(ans.empty()) {
cout << "NOT POSSIBLE";
}
else if(ans.size() > 1) {
cout << "NOT UNIQUE";
}
else {
for(int i = 1; i <= ans[0] and n--; i++) {
cout << S[i];
}
for(int i = ans[0] + 2; n--; i++) {
cout << S[i];
}
}
return 0;
}
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