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 md 1000000007
#define all(v) v.begin(),v.end()
#define int long long
const int MAXN=2e5+100;
const int MOD1=1e9+7,P=31;
int binpow(int a,int b,int mod){
int res=1;
while(b){
if(b&1) res=(res%mod*a%mod)%mod;
a=(a%mod*a%mod)%mod;
b>>=1;
}
return res%mod;
}
int invmod(int a,int mod){
return binpow(a,mod-2,mod);
}
int pref1[MAXN];
int inv1[MAXN];
const int MOD2=1404543827;
const int P2=83;
int pref2[MAXN];
int inv2[MAXN];
int sum1(int l,int r){
if(l==0) return pref1[r]%MOD1;
else
return ((pref1[r]-(ll)pref1[l-1]+3LL*MOD1)%MOD1*(invmod(binpow(P,l,MOD1),MOD1)%MOD1))%MOD1;
}
int sum2(int l,int r){
if(l==0) return pref2[r]%MOD2;
else
return ((pref2[r]-(ll)pref2[l-1]+3LL*MOD2)%MOD2*(invmod(binpow(P2,l,MOD2),MOD2)%MOD2))%MOD2;
}
signed main(){
ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);
int n;
cin>>n;
string s;
cin>>s;
memset(pref1,0,sizeof(pref1));
if(n%2==0){
cout<<"NOT POSSIBLE"<<endl;
return 0;
}
inv1[0]=1;
inv1[1]=invmod(P,MOD1);
for(int i=2;i<MAXN;i++){
inv1[i]=(inv1[i-1]%MOD1*(inv1[1]%MOD1))%MOD1;
}
int c=1;
for(int i=0;i<n;i++){
int x=s[i]-'A'+1;
if(i) pref1[i]=pref1[i-1];
pref1[i]%=MOD1;
pref1[i]+=(x%MOD1*c%MOD1)%MOD1;
c=(c%MOD1*P%MOD1)%MOD1;
}
inv2[0]=1;
inv2[1]=invmod(P2,MOD2);
for(int i=2;i<MAXN;i++){
inv2[i]=(inv2[i-1]%MOD2*(inv2[1]%MOD2))%MOD2;
}
c=1;
for(int i=0;i<n;i++){
int x=s[i]-'A'+1;
if(i) pref2[i]=pref2[i-1];
pref2[i]+=(x%MOD2*c%MOD2)%MOD2;
c=(c%MOD2*P2%MOD2)%MOD2;
}
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(sum1(l1,r1)==sum1(l2,r2)&&sum2(l1,r1)==sum2(l2,r2)) ans.pb({l1,r1});
else continue;
}
if(i<=r1){
int t=i-1;
int t1=i+1;
int s1=0;
s1+=sum1(l1,t);
s1%=MOD1;
s1+=binpow(P,(i%((n-2)/2+1)),MOD1)*sum1(t1,r1);
s1%=MOD1;
s1+=MOD1;
s1%=MOD1;
int s2=0;
s2+=sum2(l1,t);
s2%=MOD2;
s2+=binpow(P2,(i%((n-2)/2+1)),MOD2)*sum2(t1,r1);
s2%=MOD2;
s2+=MOD2;
s2%=MOD2;
if(s1==sum1(l2,r2)%MOD1&&s2==sum2(l2,r2)%MOD2) ans.pb({l2,r2});
}else{
int t=i-1;
int t1=i+1;
int s1=0;
s1+=sum1(l2,t);
s1%=MOD1;
s1+=binpow(P,(i%((n-2)/2+1)),MOD1)*sum1(t1,r2);
s1%=MOD1;
s1+=MOD1;
s1%=MOD1;
int s2=0;
s2+=sum2(l2,t);
s2%=MOD2;
s2+=binpow(P2,(i%((n-2)/2+1)),MOD2)*sum2(t1,r2);
s2%=MOD2;
s2+=MOD2;
s2%=MOD2;
// dbg(s2,sum2(l1,r1))
if(s1==sum1(l1,r1)&&s2==sum2(l1,r1)%MOD2) ans.pb({l1,r1});
}
}
if(ans.size()==1){
pair<int,int> anss=ans[0];
cout<<s.substr(anss.F,anss.S-anss.F+1)<<endl;
}else{
if(ans.empty()){
cout<<"NOT POSSIBLE"<<endl;
return 0;
}
cout<<"NOT UNIQUE"<<endl;
return 0;
}
}
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