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#include<bits/stdc++.h>
using namespace std ;
const int mx = 3e6 ;
int a[mx] , n ;
long long val[mx] , store[mx][2] , pre[2] ;
string s ;
long long gcd(long long a , long long b , long long &x , long long &y)
{
if(!a)
{
x = 0 , y = 1 ;
return b ;
}
long long x1 , y1 ;
long long d = gcd(b%a,a,x1,y1) ;
x = y1 - (b/a)*x1 ;
y = x1 ;
return d ;
}
long long modinverse(long long a , long long m)
{
long long x , y ;
long long g = gcd(a,m,x,y) ;
return (x%m + m)%m ;
}
void f(long long mod , int stat)
{
long long P = 1 , first = 0 , second = 0 , c_first = 0 , c_second = 0 , tot = 0 , div = modinverse(31,mod) ;
//precompute 0..(n/2)
for(int i = 0 ; i <= (n/2) ; ++i)
{
long long c_cnt = (s[i] - 'A' + 1) ;
first = (first + (c_cnt*P)%mod)%mod ;
P = (P*31LL)%mod ;
}
//precompute (n/2)..(n-1)
P = 1 ;
for(int i = (n/2) ; i < n ; ++i)
{
long long c_cnt = (s[i] - 'A' + 1) ;
second = (second + (c_cnt*P)%mod)%mod ;
P = (P*31LL)%mod ;
}
//precompute 0..((n/2) - 1)
P = 1 ;
for(int i = 0 ; i < (n/2) ; ++i)
{
long long c_cnt = (s[i] - 'A' + 1) ;
c_first = (c_first + (c_cnt*P)%mod)%mod ;
P = (P*31LL)%mod ;
}
//precompute (n/2 + 1)..(n-1)
P = 1 ;
for(int i = (n/2) + 1 ; i < n ; ++i)
{
long long c_cnt = (s[i] - 'A' + 1) ;
c_second = (c_second + (c_cnt*P)%mod)%mod ;
P = (P*31LL)%mod ;
}
//check if it is in the range (0...((n/2)-1))
P = 1 ;
for(int i = 0 ; i < (n/2) ; ++i)
{
long long c_cnt = (s[i] - 'A' + 1) ;
tot = (tot + (c_cnt*P)%mod)%mod ;
long long cur = (((first-tot+mod)%mod)*div)%mod ;
cur = (cur + tot - (c_cnt*P)%mod + mod)%mod ;
store[i][stat] = cur ;
if(cur==c_second) a[i] &= 1 ;
else a[i] = 0 ;
P = (P*31LL)%mod ;
}
//check if it is in the range ((n/2)...(n-1))
tot = 0 , P = 1 ;
for(int i = n/2 ; i < n ; ++i)
{
long long c_cnt = (s[i] - 'A' + 1) ;
tot = (tot + (c_cnt*P)%mod)%mod ;
long long cur = (((second-tot+mod)%mod)*div)%mod ;
cur = (cur + tot - (c_cnt*P)%mod + mod)%mod ;
store[i][stat] = cur ;
if(cur==c_first) a[i] &= 1 ;
else a[i] = 0 ;
P = (P*31LL)%mod ;
}
}
int main()
{
int ans = -1 , cnt = 0 ;
scanf("%d",&n) ;
cin>>s ;
if(!(n&1))
{
puts("NOT POSSIBLE") ;
return 0 ;
}
for(int i = 0 ; i < n ; ++i) a[i] = 1 ;
long long cur = 1e9 + 7 ;
f(cur,0) ;
cur = 1e9 + 9 ;
f(cur,1) ;
pre[0] = -1 , pre[1] = -1 ;
for(int i = 0 ; i < n ; ++i)
{
if(a[i])
{
if(pre[0]>=0)
{
if(pre[0]!=store[i][0])
{
puts("NOT UNIQUE") ;
return 0 ;
}
}
pre[0] = store[i][0] ;
ans = i ;
}
cnt += a[i] ;
}
if(!cnt)
{
puts("NOT POSSIBLE") ;
}
else
{
for(int i = 0 ; i < (n/2) + (ans<(n/2)) ; ++i)
{
if(i==ans) continue ;
cout<<s[i] ;
}
cout<<endl ;
}
return 0 ;
}
컴파일 시 표준 에러 (stderr) 메시지
friends.cpp: In function 'long long int modinverse(long long int, long long int)':
friends.cpp:29:15: warning: unused variable 'g' [-Wunused-variable]
29 | long long g = gcd(a,m,x,y) ;
| ^
friends.cpp: In function 'int main()':
friends.cpp:98:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
98 | scanf("%d",&n) ;
| ~~~~~^~~~~~~~~
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