이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <bits/stdc++.h>
using namespace std;
const int dx[4] = {1,0,-1,0}, dy[4] = {0,1,0,-1};
#define OVL(x,s) for(auto y:x) cout<<y<<s; cout<<"\n";
#ifdef IOI
void dbg_out() { cout << endl; }
template<typename Head, typename... Tail> void dbg_out(Head H, Tail... T) { cout << ' ' << H; dbg_out(T...); }
#define dbg(...) cout << "(" << #__VA_ARGS__ << "):", dbg_out(__VA_ARGS__);
#else
#define dbg(...) 1337;
#endif
#define endl "\n"
#define pb push_back
#define F first
#define S second
#define ll long long
#define mod 1000000007
#define all(v) v.begin(),v.end()
#define int long long
const int MAXN=2e6+100,P=31;
int binpow(int a,int b){
int res=1;
while(b){
if(b&1) res=(res%mod*a%mod)%mod;
a=(a%mod*a%mod)%mod;
b>>=1LL;
}
return res%mod;
}
int invmod(int a){
return binpow(a,mod-2)%mod;
}
int pref[MAXN];
int inv[MAXN];
int sum(int l,int r){
if(l==0) return pref[r]%mod;
else
return ((pref[r]-pref[l-1]+2LL*mod)%mod*(inv[l]%mod))%mod;
}
signed main(){
ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);
int n;
cin>>n;
string s;
cin>>s;
if(n%2==0){
cout<<"NOT POSSIBLE"<<endl;
return 0;
}
inv[0]=1;
inv[1]=invmod(P);
for(int i=2;i<MAXN;i++){
inv[i]=(inv[i-1]%mod*(inv[1]%mod))%mod;
}
int c=1;
memset(pref,0,sizeof(pref));
for(int i=0;i<n;i++){
int x=s[i]-'A'+1;
if(i) pref[i]=pref[i-1];
pref[i]%=mod;
pref[i]+=(x%mod*c%mod)%mod;
c=(c%mod*P%mod)%mod;
}
map<int,pair<int,int>> mp;
vector<pair<int,int>> ans;
for(int i=0;i<n;i++){
int l1=0,r1=0,l2=0,r2=n-1;
if(i==0){
l1=1;
}
if(i==n-1){
r2=n-2;
}
r1=l1+(n-2)/2;
if(i>0&&i<=r1) r1++;
l2=r2-(n-2)/2;
if(i!=n-1&&i>=l2) l2--;
if((i>r1&&i<l2)||i==0||i==n-1){
if(sum(l1,r1)==sum(l2,r2)) mp[sum(l1,r1)]={l1,r1};
else continue;
}
if(i<=r1){
int t=i-1;
int t1=i+1;
int s=0;
s+=sum(l1,t);
s%=mod;
s+=binpow(P,(i%((n-2)/2+1)))*sum(t1,r1);
s%=mod;
s+=mod;
s%=mod;
if(s==sum(l2,r2)%mod) mp[s]={l2,r2};
}else{
int t=i-1;
int t1=i+1;
int s=0;
s+=sum(l2,t);
s%=mod;
s+=binpow(P,(i%((n-2)/2+1)))*sum(t1,r2);
s%=mod;
s+=mod;
s%=mod;
if(s==sum(l1,r1)) mp[s]={l1,r1};
}
}
if(mp.size()==1){
pair<int,int> anss=mp.begin()->second;
cout<<s.substr(anss.F,anss.S-anss.F+1)<<endl;
}else{
if(mp.empty()){
cout<<"NOT POSSIBLE"<<endl;
return 0;
}
cout<<"NOT UNIQUE"<<endl;
return 0;
}
}
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