#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC optimize("inline")
#include<bits/stdc++.h>
using namespace std;
template < class T> struct cLtraits_identity{
using type = T;
}
;
template < class T> using cLtraits_try_make_unsigned =
typename conditional<
is_integral< T> :: value ,
make_unsigned< T> ,
cLtraits_identity< T>
> :: type ;
void * wmem;
char memarr[ 96000000 ] ;
template < class S, class T> inline S chmin( S & a, T b) {
if ( a> b) {
a= b;
}
return a;
}
template < class S, class T> inline S chmax( S & a, T b) {
if ( a< b) {
a= b;
}
return a;
}
template < class S, class T> inline S divup_L( S a, T b) {
return ( a+ b- 1 ) / b;
}
template < class T> inline void walloc1d( T ** arr, int x, void ** mem = & wmem) {
static int skip[ 16 ] = { 0 , 15 , 14 , 13 , 12 , 11 , 10 , 9 , 8 , 7 , 6 , 5 , 4 , 3 , 2 , 1 } ;
( * mem) = ( void * ) ( ( ( char * ) ( * mem) ) + skip[ ( ( unsigned long long ) ( * mem) ) & 15 ] ) ;
( * arr) = ( T* ) ( * mem) ;
( * mem) = ( ( * arr) + x) ;
}
template < class T> inline void walloc1d( T ** arr, int x1, int x2, void ** mem = & wmem) {
walloc1d( arr, x2- x1, mem) ;
( * arr) - = x1;
}
inline int Ilog2_f_L( const int n) {
int res;
if ( n <= 0 ) {
return - 1 ;
}
res = sizeof ( int ) * 8 - __builtin_clz( n) - 1 ;
return res;
}
inline int Ilog2_f_L( const long long n) {
int res;
if ( n <= 0 ) {
return - 1 ;
}
res = sizeof ( long long ) * 8 - __builtin_clzll( n) - 1 ;
return res;
}
template < class T1> void sortI( int N, T1 a[ ] , void * mem = wmem) {
sort( a, a+ N) ;
}
template < class T1, class T2> void sortI( int N, T1 a[ ] , T2 b[ ] , void * mem = wmem) {
int i;
pair< T1, T2> * arr;
walloc1d( & arr, N, & mem) ;
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
arr[ i] .first = a[ i] ;
arr[ i] .second = b[ i] ;
}
sort( arr, arr+ N) ;
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
a[ i] = arr[ i] .first ;
b[ i] = arr[ i] .second ;
}
}
template < class T1, class T2, class T3> void sortI( int N, T1 a[ ] , T2 b[ ] , T3 c[ ] , void * mem = wmem) {
int i;
pair< T1, pair< T2, T3> > * arr;
walloc1d( & arr, N, & mem) ;
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
arr[ i] .first = a[ i] ;
arr[ i] .second .first = b[ i] ;
arr[ i] .second .second = c[ i] ;
}
sort( arr, arr+ N) ;
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
a[ i] = arr[ i] .first ;
b[ i] = arr[ i] .second .first ;
c[ i] = arr[ i] .second .second ;
}
}
template < class T1, class T2, class T3, class T4> void sortI( int N, T1 a[ ] , T2 b[ ] , T3 c[ ] , T4 d[ ] , void * mem = wmem) {
int i;
pair< pair< T1, T2> , pair< T3, T4> > * arr;
walloc1d( & arr, N, & mem) ;
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
arr[ i] .first .first = a[ i] ;
arr[ i] .first .second = b[ i] ;
arr[ i] .second .first = c[ i] ;
arr[ i] .second .second = d[ i] ;
}
sort( arr, arr+ N) ;
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
a[ i] = arr[ i] .first .first ;
b[ i] = arr[ i] .first .second ;
c[ i] = arr[ i] .second .first ;
d[ i] = arr[ i] .second .second ;
}
}
template < class T> inline int sort_helper_getbit( T A[ ] ) {
return - 1 ;
}
template <> inline int sort_helper_getbit( int A[ ] ) {
return sizeof ( int ) * 8 ;
}
template <> inline int sort_helper_getbit( unsigned A[ ] ) {
return sizeof ( unsigned ) * 8 ;
}
template <> inline int sort_helper_getbit( long long A[ ] ) {
return sizeof ( long long ) * 8 ;
}
template <> inline int sort_helper_getbit( unsigned long long A[ ] ) {
return sizeof ( unsigned long long ) * 8 ;
}
template <> inline int sort_helper_getbit( char A[ ] ) {
return sizeof ( char ) * 8 ;
}
template < class T> void sortA_1_int_L( int N, T A[ ] , void * mem = wmem) {
int i;
int j;
int k;
int b;
int s;
int ok;
ok = 1 ;
for ( i= ( 1 ) ; i< ( N) ; i++ ) {
if ( A[ i- 1 ] > A[ i] ) {
ok = 0 ;
break ;
}
}
if ( ok) {
return ;
}
if ( N < 128 ) {
sort( A,A+ N) ;
return ;
}
b = sort_helper_getbit( A) ;
if ( b== - 1 ) {
sort( A,A+ N) ;
return ;
}
T mn;
T mx;
mn = mx = A[ 0 ] ;
for ( i= ( 1 ) ; i< ( N) ; i++ ) {
chmin( mn, A[ i] ) ;
}
for ( i= ( 1 ) ; i< ( N) ; i++ ) {
chmax( mx, A[ i] ) ;
}
ok = 1 ;
if ( mn < 0 && mx > 0 && ( mn < - N || mx > N) ) {
ok = 0 ;
}
if ( ok && mx - mn > N) {
ok = 0 ;
}
if ( ok) {
int * tmp;
walloc1d( & tmp, mx- mn+ 1 , & mem) ;
for ( i= ( 0 ) ; i< ( mx- mn+ 1 ) ; i++ ) {
tmp[ i] = 0 ;
}
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
tmp[ A[ i] - mn] ++ ;
}
k = 0 ;
for ( i= ( 0 ) ; i< ( mx- mn+ 1 ) ; i++ ) {
while ( tmp[ i] > 0 ) {
tmp[ i] -- ;
A[ k++ ] = i+ mn;
}
}
return ;
}
{
typename make_unsigned< T> :: type * t[ 2 ] ;
typename make_unsigned< T> :: type mask;
typename make_unsigned< T> :: type cur;
typename make_unsigned< T> :: type one = 1 ;
T tone = 1 ;
int * pos;
int nn = 0 ;
int ss;
s = Ilog2_f_L( N) ;
if ( s > 8 ) {
s = ( 8 + ( s- 7 ) / 2 ) ;
}
ss = 1 ;
for ( ;; ) {
if ( ss >= b) {
break ;
}
if ( mx >= 0 && ( tone << ( ss- 1 ) ) < mx ) {
ss++ ;
continue ;
}
if ( mn < 0 && - ( tone << ( ss- 1 ) ) >= mn ) {
ss++ ;
continue ;
}
break ;
}
k = ( divup_L( ss,s) ) ;
s = ( divup_L( ss,k) ) ;
mask = 0 ;
for ( i= ( 0 ) ; i< ( b) ; i++ ) {
if ( i < s* k) {
mask | = one << i;
}
}
t[ 0 ] = ( typename make_unsigned< T> :: type * ) A;
walloc1d( & t[ 1 ] , N, & mem) ;
walloc1d( & pos, ( 1 << s) + 1 , & mem) ;
for ( j= ( 0 ) ; j< ( k) ; j++ ) {
cur = 0 ;
for ( i= ( 0 ) ; i< ( b) ; i++ ) {
if ( s* j <= i && i < s* ( j+ 1 ) && i < b) {
cur | = one << i;
}
}
for ( i= ( 0 ) ; i< ( ( 1 << s) + 1 ) ; i++ ) {
pos[ i] = 0 ;
}
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
pos[ ( ( t[ nn] [ i] & cur) >> ( s* j) ) + 1 ] ++ ;
}
for ( i= ( 0 ) ; i< ( ( 1 << s) ) ; i++ ) {
pos[ i+ 1 ] + = pos[ i] ;
}
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
t[ nn^ 1 ] [ pos[ ( t[ nn] [ i] & cur) >> ( s* j) ] ++ ] = t[ nn] [ i] ;
}
nn ^ = 1 ;
mask ^ = cur;
}
if ( mn < 0 && mx >= 0 ) {
k = 0 ;
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
if ( A[ i] < 0 ) {
k++ ;
}
}
for ( i= ( 0 ) ; i< ( k) ; i++ ) {
t[ nn^ 1 ] [ i] = t[ nn] [ N- k+ i] ;
}
for ( i= ( k) ; i< ( N) ; i++ ) {
t[ nn^ 1 ] [ i] = t[ nn] [ i- k] ;
}
nn ^ = 1 ;
}
if ( nn== 1 ) {
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
t[ 0 ] [ i] = t[ 1 ] [ i] ;
}
}
return ;
}
sort( A, A+ N) ;
}
template < class T> void sortA_1_nonint_L( int N, T A[ ] , void * mem = wmem) {
sort( A,A+ N) ;
}
template < class T> void sortA_1_call_L( int N, T A[ ] , void * mem = wmem) {
sortA_1_nonint_L( N, A, mem) ;
}
template <> void sortA_1_call_L( int N, int A[ ] , void * mem) {
sortA_1_int_L( N, A, mem) ;
}
template <> void sortA_1_call_L( int N, unsigned A[ ] , void * mem) {
sortA_1_int_L( N, A, mem) ;
}
template <> void sortA_1_call_L( int N, long long A[ ] , void * mem) {
sortA_1_int_L( N, A, mem) ;
}
template <> void sortA_1_call_L( int N, unsigned long long A[ ] , void * mem) {
sortA_1_int_L( N, A, mem) ;
}
template <> void sortA_1_call_L( int N, char A[ ] , void * mem) {
sortA_1_int_L( N, A, mem) ;
}
template < class T1> void sortA( int N, T1 a[ ] , void * mem = wmem) {
sortA_1_call_L( N, a, mem) ;
}
template < class T1, class T2> void sortA_2_int_L( int N, T1 A[ ] , T2 B[ ] , void * mem = wmem) {
int i;
int b_a;
int b_b;
int s1;
int s2;
int so2;
T1 mn1;
T1 mx1;
T2 mn2;
T2 mx2;
typename cLtraits_try_make_unsigned< T1> :: type r1;
typename cLtraits_try_make_unsigned< T2> :: type r2;
so2 = 1 ;
for ( i= ( 1 ) ; i< ( N) ; i++ ) {
if ( A[ i- 1 ] > A[ i] || ( A[ i- 1 ] == A[ i] && B[ i- 1 ] > B[ i] ) ) {
so2 = 0 ;
break ;
}
}
if ( so2) {
return ;
}
so2 = 1 ;
for ( i= ( 1 ) ; i< ( N) ; i++ ) {
if ( A[ i- 1 ] > A[ i] ) {
so2 = 0 ;
break ;
}
}
if ( so2== 1 ) {
int k = 0 ;
for ( i= ( 1 ) ; i< ( N) ; i++ ) {
if ( A[ i] ! = A[ i- 1 ] ) {
sortA_1_call_L( i- k, B+ k, mem) ;
k = i;
}
}
sortA_1_call_L( N- k, B+ k, mem) ;
return ;
}
if ( N < 128 ) {
sortI( N,A,B,mem) ;
return ;
}
b_a = sort_helper_getbit( A) ;
b_b = sort_helper_getbit( B) ;
if ( b_a == - 1 || b_b == - 1 ) {
sortI( N,A,B,mem) ;
return ;
}
mn1 = mx1 = A[ 0 ] ;
for ( i= ( 1 ) ; i< ( N) ; i++ ) {
chmin( mn1, A[ i] ) ;
}
for ( i= ( 1 ) ; i< ( N) ; i++ ) {
chmax( mx1, A[ i] ) ;
}
mn2 = mx2 = B[ 0 ] ;
for ( i= ( 1 ) ; i< ( N) ; i++ ) {
chmin( mn2, B[ i] ) ;
}
for ( i= ( 1 ) ; i< ( N) ; i++ ) {
chmax( mx2, B[ i] ) ;
}
if ( mn1 < - 4611686016279904256LL || mn2 < - 4611686016279904256LL || mx1 > 4611686016279904256LL || mx2 > 4611686016279904256LL || mx1- mn1 > 4611686016279904256LL || mx2- mn2 > 4611686016279904256LL) {
sortI( N,A,B,mem) ;
return ;
}
r1 = ( typename cLtraits_try_make_unsigned< T1> :: type ) ( mx1) - ( typename cLtraits_try_make_unsigned< T1> :: type ) ( mn1) ;
r2 = ( typename cLtraits_try_make_unsigned< T2> :: type ) ( mx2) - ( typename cLtraits_try_make_unsigned< T2> :: type ) ( mn2) ;
if ( r1 == 0 ) {
sortA_1_call_L( N, B, mem) ;
return ;
}
if ( r2 == 0 ) {
sortA_1_call_L( N, A, mem) ;
return ;
}
if ( r1 <= N) {
so2 = 1 ;
for ( i= ( 1 ) ; i< ( N) ; i++ ) {
if ( B[ i- 1 ] > B[ i] ) {
so2 = 0 ;
break ;
}
}
if ( so2 == 1 ) {
T1* aa;
T2* bb;
int * pos;
int k;
walloc1d( & aa,N,& mem) ;
walloc1d( & bb,N,& mem) ;
walloc1d( & pos,r1+ 2 ,& mem) ;
for ( i= ( 0 ) ; i< ( r1+ 2 ) ; i++ ) {
pos[ i] = 0 ;
}
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
aa[ i] = A[ i] ;
}
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
bb[ i] = B[ i] ;
}
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
pos[ ( typename cLtraits_try_make_unsigned< T1> :: type ) ( ( typename cLtraits_try_make_unsigned< T1> :: type ) aa[ i] - ( typename cLtraits_try_make_unsigned< T1> :: type ) mn1) + 1 ] ++ ;
}
for ( i= ( 1 ) ; i< ( r1+ 2 ) ; i++ ) {
pos[ i] + = pos[ i- 1 ] ;
}
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
k = pos[ ( typename cLtraits_try_make_unsigned< T1> :: type ) ( ( typename cLtraits_try_make_unsigned< T1> :: type ) aa[ i] - ( typename cLtraits_try_make_unsigned< T1> :: type ) mn1) + 0 ] ++ ;
A[ k] = aa[ i] ;
B[ k] = bb[ i] ;
}
return ;
}
}
s1 = s2 = 1 ;
while ( s1 < 64 && r1 >= ( 1ULL<< s1) ) {
s1++ ;
}
while ( s2 < 64 && r2 >= ( 1ULL<< s2) ) {
s2++ ;
}
if ( s1 + s2 <= 32 ) {
unsigned * tmp;
walloc1d( & tmp,N,& mem) ;
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
tmp[ i] = ( ( ( unsigned ) ( ( int ) A[ i] - ( int ) mn1) ) << s2) | ( ( unsigned ) ( ( int ) B[ i] - ( int ) mn2) ) ;
}
sortA_1_call_L( N, tmp, mem) ;
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
A[ i] = ( ( int ) ( tmp[ i] >> s2) ) + ( ( int ) mn1) ;
B[ i] = ( ( int ) ( tmp[ i] & ( ( 1U<< s2) - 1 ) ) ) + ( ( int ) mn2) ;
}
return ;
}
if ( s1 + s2 <= 64 ) {
unsigned long long * tmp;
walloc1d( & tmp,N,& mem) ;
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
tmp[ i] = ( ( ( unsigned long long ) ( ( long long ) A[ i] - ( long long ) mn1) ) << s2) | ( ( unsigned long long ) ( ( long long ) B[ i] - ( long long ) mn2) ) ;
}
sortA_1_call_L( N, tmp, mem) ;
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
A[ i] = ( ( long long ) ( tmp[ i] >> s2) ) + ( ( long long ) mn1) ;
B[ i] = ( ( long long ) ( tmp[ i] & ( ( 1ULL<< s2) - 1 ) ) ) + ( ( long long ) mn2) ;
}
return ;
}
sortI( N,A,B,mem) ;
}
template < class T1, class T2> void sortA_2_nonint_L( int N, T1 A[ ] , T2 B[ ] , void * mem = wmem) {
sortI( N,A,B,mem) ;
}
template < class T1, class T2> void sortA_2_call_L( int N, T1 A[ ] , T2 B[ ] , void * mem = wmem) {
sortA_2_nonint_L( N, A, B, mem) ;
}
template < class T2> void sortA_2_call_L( int N, int A[ ] , T2 B[ ] , void * mem) {
sortA_2_int_L( N, A, B, mem) ;
}
template < class T2> void sortA_2_call_L( int N, unsigned A[ ] , T2 B[ ] , void * mem) {
sortA_2_int_L( N, A, B, mem) ;
}
template < class T2> void sortA_2_call_L( int N, long long A[ ] , T2 B[ ] , void * mem) {
sortA_2_int_L( N, A, B, mem) ;
}
template < class T2> void sortA_2_call_L( int N, unsigned long long A[ ] , T2 B[ ] , void * mem) {
sortA_2_int_L( N, A, B, mem) ;
}
template < class T2> void sortA_2_call_L( int N, char A[ ] , T2 B[ ] , void * mem) {
sortA_2_int_L( N, A, B, mem) ;
}
template < class T1, class T2> void sortA( int N, T1 a[ ] , T2 b[ ] , void * mem = wmem) {
sortA_2_call_L( N, a, b, mem) ;
}
template < class T1, class T2, class T3> void sortA( int N, T1 a[ ] , T2 b[ ] , T3 c[ ] , void * mem = wmem) {
int i;
pair< T1, pair< T2, T3> > * arr;
walloc1d( & arr, N, & mem) ;
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
arr[ i] .first = a[ i] ;
arr[ i] .second .first = b[ i] ;
arr[ i] .second .second = c[ i] ;
}
sort( arr, arr+ N) ;
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
a[ i] = arr[ i] .first ;
b[ i] = arr[ i] .second .first ;
c[ i] = arr[ i] .second .second ;
}
}
template < class T1, class T2, class T3, class T4> void sortA( int N, T1 a[ ] , T2 b[ ] , T3 c[ ] , T4 d[ ] , void * mem = wmem) {
int i;
pair< pair< T1, T2> , pair< T3, T4> > * arr;
walloc1d( & arr, N, & mem) ;
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
arr[ i] .first .first = a[ i] ;
arr[ i] .first .second = b[ i] ;
arr[ i] .second .first = c[ i] ;
arr[ i] .second .second = d[ i] ;
}
sort( arr, arr+ N) ;
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
a[ i] = arr[ i] .first .first ;
b[ i] = arr[ i] .first .second ;
c[ i] = arr[ i] .second .first ;
d[ i] = arr[ i] .second .second ;
}
}
template < class T> void Unique( int & N, T A[ ] , int sorted= 0 , void * mwm = wmem) {
int i;
int k;
if ( ! sorted) {
sortA( N, A) ;
}
k = 0 ;
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
if ( k== 0 || A[ k- 1 ] ! = A[ i] ) {
A[ k++ ] = A[ i] ;
}
}
N = k;
}
template < class T, class S> void Unique( int & N, T A[ ] , S B[ ] , int sorted= 0 , void * mem = wmem) {
int i;
int k = 0 ;
if ( ! sorted) {
sortA( N, A, B, mem) ;
}
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
if ( ! k || A[ k- 1 ] ! = A[ i] ) {
A[ k] = A[ i] ;
B[ k] = B[ i] ;
k++ ;
}
else {
B[ k- 1 ] + = B[ i] ;
}
}
N= k;
}
#define main dummy_main
int main( ) {
wmem = memarr;
return 0 ;
}
#undef main
int N;
int A[ 1000000 ] ;
int B[ 1000000 ] ;
long long ok[ 1000000 ] ;
long long val[ 1000000 ] ;
long long x[ 1000000 ] ;
long long y[ 1000000 ] ;
class Solution{
public :
int minGroupsForValidAssignment( vector< int > & nums) {
dummy_main( ) ;
int i;
int j;
int k;
int M = nums.size ( ) ;
long long res = 4611686016279904256LL;
N = nums.size ( ) ;
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
A[ i] = nums[ i] ;
B[ i] = 1 ;
}
Unique( N, A, B) ;
for ( i= ( 0 ) ; i< ( M+ 1 ) ; i++ ) {
ok[ i] = val[ i] = 0 ;
}
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
for ( j= ( 0 ) ; j< ( B[ i] + 1 ) ; j++ ) {
x[ j] = 0 ;
y[ j] = 1073709056 ;
}
for ( j= ( 1 ) ; j< ( B[ i] + 1 ) ; j++ ) {
k = B[ i] / j;
x[ k] = 1 ;
chmin( y[ k] , j) ;
if ( B[ i] % j== 0 ) {
x[ k- 1 ] = 1 ;
chmin( y[ k- 1 ] , j) ;
}
}
for ( j= ( 0 ) ; j< ( B[ i] + 1 ) ; j++ ) {
ok[ j] + = x[ j] ;
val[ j] + = y[ j] ;
}
}
for ( i= ( 1 ) ; i< ( M+ 1 ) ; i++ ) {
if ( ok[ i] == N) {
chmin( res, val[ i] ) ;
}
}
return res;
}
}
;
// cLay version 20231031-1
// --- original code ---
// #define main dummy_main
// {}
// #undef main
//
// int N, A[1d6], B[];
// ll ok[], val[], x[], y[];
//
// class Solution {
// public:
// int minGroupsForValidAssignment(VI &nums) {
// dummy_main();
// int i, j, k, M = nums.size();
// ll res = ll_inf;
// N = nums.size();
// rep(i,N) A[i] = nums[i], B[i] = 1;
// Unique(N, A, B);
//
// rep(i,M+1) ok[i] = val[i] = 0;
// rep(i,N){
// rep(j,B[i]+1) x[j] = 0, y[j] = int_inf;
// rep(j,1,B[i]+1){
// k = B[i] / j;
// x[k] = 1;
// y[k] <?= j;
// if(B[i]%j==0) x[k-1] = 1, y[k-1] <?= j;
// }
// rep(j,B[i]+1) ok[j] += x[j], val[j] += y[j];
// }
//
// rep(i,1,M+1) if(ok[i]==N) res <?= val[i];
// return res;
// }
// };
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC optimize("inline")
#include<bits/stdc++.h>
using namespace std;
template<class T> struct cLtraits_identity{
  using type = T;
}
;
template<class T> using cLtraits_try_make_unsigned =
  typename conditional<
    is_integral<T>::value,
    make_unsigned<T>,
    cLtraits_identity<T>
    >::type;
void*wmem;
char memarr[96000000];
template<class S, class T> inline S chmin(S &a, T b){
  if(a>b){
    a=b;
  }
  return a;
}
template<class S, class T> inline S chmax(S &a, T b){
  if(a<b){
    a=b;
  }
  return a;
}
template<class S, class T> inline S divup_L(S a, T b){
  return (a+b-1)/b;
}
template<class T> inline void walloc1d(T **arr, int x, void **mem = &wmem){
  static int skip[16] = {0, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1};
  (*mem) = (void*)( ((char*)(*mem)) + skip[((unsigned long long)(*mem)) & 15] );
  (*arr)=(T*)(*mem);
  (*mem)=((*arr)+x);
}
template<class T> inline void walloc1d(T **arr, int x1, int x2, void **mem = &wmem){
  walloc1d(arr, x2-x1, mem);
  (*arr) -= x1;
}
inline int Ilog2_f_L(const int n){
  int res;
  if(n <= 0){
    return -1;
  }
  res = sizeof(int) * 8 - __builtin_clz(n) - 1;
  return res;
}
inline int Ilog2_f_L(const long long n){
  int res;
  if(n <= 0){
    return -1;
  }
  res = sizeof(long long) * 8 - __builtin_clzll(n) - 1;
  return res;
}
template<class T1> void sortI(int N, T1 a[], void *mem = wmem){
  sort(a, a+N);
}
template<class T1, class T2> void sortI(int N, T1 a[], T2 b[], void *mem = wmem){
  int i;
  pair<T1, T2>*arr;
  walloc1d(&arr, N, &mem);
  for(i=(0);i<(N);i++){
    arr[i].first = a[i];
    arr[i].second = b[i];
  }
  sort(arr, arr+N);
  for(i=(0);i<(N);i++){
    a[i] = arr[i].first;
    b[i] = arr[i].second;
  }
}
template<class T1, class T2, class T3> void sortI(int N, T1 a[], T2 b[], T3 c[], void *mem = wmem){
  int i;
  pair<T1, pair<T2, T3> >*arr;
  walloc1d(&arr, N, &mem);
  for(i=(0);i<(N);i++){
    arr[i].first = a[i];
    arr[i].second.first = b[i];
    arr[i].second.second = c[i];
  }
  sort(arr, arr+N);
  for(i=(0);i<(N);i++){
    a[i] = arr[i].first;
    b[i] = arr[i].second.first;
    c[i] = arr[i].second.second;
  }
}
template<class T1, class T2, class T3, class T4> void sortI(int N, T1 a[], T2 b[], T3 c[], T4 d[], void *mem = wmem){
  int i;
  pair<pair<T1, T2>, pair<T3, T4> >*arr;
  walloc1d(&arr, N, &mem);
  for(i=(0);i<(N);i++){
    arr[i].first.first = a[i];
    arr[i].first.second = b[i];
    arr[i].second.first = c[i];
    arr[i].second.second = d[i];
  }
  sort(arr, arr+N);
  for(i=(0);i<(N);i++){
    a[i] = arr[i].first.first;
    b[i] = arr[i].first.second;
    c[i] = arr[i].second.first;
    d[i] = arr[i].second.second;
  }
}
template<class T> inline int sort_helper_getbit(T A[]){
  return -1;
}
template<> inline int sort_helper_getbit(int A[]){
  return sizeof(int)*8;
}
template<> inline int sort_helper_getbit(unsigned A[]){
  return sizeof(unsigned)*8;
}
template<> inline int sort_helper_getbit(long long A[]){
  return sizeof(long long)*8;
}
template<> inline int sort_helper_getbit(unsigned long long A[]){
  return sizeof(unsigned long long)*8;
}
template<> inline int sort_helper_getbit(char A[]){
  return sizeof(char)*8;
}
template<class T> void sortA_1_int_L(int N, T A[], void *mem = wmem){
  int i;
  int j;
  int k;
  int b;
  int s;
  int ok;
  ok = 1;
  for(i=(1);i<(N);i++){
    if(A[i-1] > A[i]){
      ok = 0;
      break;
    }
  }
  if(ok){
    return;
  }
  if(N < 128){
    sort(A,A+N);
    return;
  }
  b = sort_helper_getbit(A);
  if(b==-1){
    sort(A,A+N);
    return;
  }
  T mn;
  T mx;
  mn = mx = A[0];
  for(i=(1);i<(N);i++){
    chmin(mn, A[i]);
  }
  for(i=(1);i<(N);i++){
    chmax(mx, A[i]);
  }
  ok = 1;
  if(mn < 0 && mx > 0 && (mn < -N || mx > N)){
    ok = 0;
  }
  if(ok && mx - mn > N){
    ok = 0;
  }
  if(ok){
    int*tmp;
    walloc1d(&tmp, mx-mn+1, &mem);
    for(i=(0);i<(mx-mn+1);i++){
      tmp[i] = 0;
    }
    for(i=(0);i<(N);i++){
      tmp[A[i]-mn]++;
    }
    k = 0;
    for(i=(0);i<(mx-mn+1);i++){
      while(tmp[i] > 0){
        tmp[i]--;
        A[k++] = i+mn;
      }
    }
    return;
  }
  {
    typename make_unsigned<T>::type *t[2];
    typename make_unsigned<T>::type  mask;
    typename make_unsigned<T>::type  cur;
    typename make_unsigned<T>::type  one = 1;
    T tone = 1;
    int*pos;
    int nn = 0;
    int ss;
    s =Ilog2_f_L(N);
    if(s > 8){
      s = (8 + (s-7)/2);
    }
    ss = 1;
    for(;;){
      if(ss >= b){
        break;
      }
      if( mx >= 0 && (tone << (ss-1)) < mx ){
        ss++;
        continue;
      }
      if( mn < 0 && -(tone << (ss-1)) >= mn ){
        ss++;
        continue;
      }
      break;
    }
    k =(divup_L(ss,s));
    s =(divup_L(ss,k));
    mask = 0;
    for(i=(0);i<(b);i++){
      if(i < s*k){
        mask |= one << i;
      }
    }
    t[0] = (typename make_unsigned<T>::type *) A;
    walloc1d(&t[1], N, &mem);
    walloc1d(&pos, (1<<s)+1, &mem);
    for(j=(0);j<(k);j++){
      cur = 0;
      for(i=(0);i<(b);i++){
        if(s*j <= i && i < s*(j+1) && i < b){
          cur |= one << i;
        }
      }
      for(i=(0);i<((1<<s)+1);i++){
        pos[i] = 0;
      }
      for(i=(0);i<(N);i++){
        pos[((t[nn][i]&cur)>>(s*j))+1]++;
      }
      for(i=(0);i<((1<<s));i++){
        pos[i+1] += pos[i];
      }
      for(i=(0);i<(N);i++){
        t[nn^1][pos[(t[nn][i]&cur)>>(s*j)]++] = t[nn][i];
      }
      nn ^= 1;
      mask ^= cur;
    }
    if(mn < 0 && mx >= 0){
      k = 0;
      for(i=(0);i<(N);i++){
        if(A[i] < 0){
          k++;
        }
      }
      for(i=(0);i<(k);i++){
        t[nn^1][i] = t[nn][N-k+i];
      }
      for(i=(k);i<(N);i++){
        t[nn^1][i] = t[nn][i-k];
      }
      nn ^= 1;
    }
    if(nn==1){
      for(i=(0);i<(N);i++){
        t[0][i] = t[1][i];
      }
    }
    return;
  }
  sort(A, A+N);
}
template<class T> void sortA_1_nonint_L(int N, T A[], void *mem = wmem){
  sort(A,A+N);
}
template<class T> void sortA_1_call_L(int N, T A[], void *mem = wmem){
  sortA_1_nonint_L(N, A, mem);
}
template<> void sortA_1_call_L(int N, int A[], void *mem){
  sortA_1_int_L(N, A, mem);
}
template<> void sortA_1_call_L(int N, unsigned A[], void *mem){
  sortA_1_int_L(N, A, mem);
}
template<> void sortA_1_call_L(int N, long long A[], void *mem){
  sortA_1_int_L(N, A, mem);
}
template<> void sortA_1_call_L(int N, unsigned long long A[], void *mem){
  sortA_1_int_L(N, A, mem);
}
template<> void sortA_1_call_L(int N, char A[], void *mem){
  sortA_1_int_L(N, A, mem);
}
template<class T1> void sortA(int N, T1 a[], void *mem = wmem){
  sortA_1_call_L(N, a, mem);
}
template<class T1, class T2> void sortA_2_int_L(int N, T1 A[], T2 B[], void *mem = wmem){
  int i;
  int b_a;
  int b_b;
  int s1;
  int s2;
  int so2;
  T1 mn1;
  T1 mx1;
  T2 mn2;
  T2 mx2;
  typename cLtraits_try_make_unsigned<T1>::type r1;
  typename cLtraits_try_make_unsigned<T2>::type r2;
  so2 = 1;
  for(i=(1);i<(N);i++){
    if(A[i-1] > A[i] || (A[i-1]==A[i] && B[i-1] > B[i])){
      so2 = 0;
      break;
    }
  }
  if(so2){
    return;
  }
  so2 = 1;
  for(i=(1);i<(N);i++){
    if(A[i-1] > A[i]){
      so2 = 0;
      break;
    }
  }
  if(so2==1){
    int k = 0;
    for(i=(1);i<(N);i++){
      if(A[i] != A[i-1]){
        sortA_1_call_L(i-k, B+k, mem);
        k = i;
      }
    }
    sortA_1_call_L(N-k, B+k, mem);
    return;
  }
  if(N < 128){
    sortI(N,A,B,mem);
    return;
  }
  b_a = sort_helper_getbit(A);
  b_b = sort_helper_getbit(B);
  if(b_a == -1 || b_b == -1){
    sortI(N,A,B,mem);
    return;
  }
  mn1 = mx1 = A[0];
  for(i=(1);i<(N);i++){
    chmin(mn1, A[i]);
  }
  for(i=(1);i<(N);i++){
    chmax(mx1, A[i]);
  }
  mn2 = mx2 = B[0];
  for(i=(1);i<(N);i++){
    chmin(mn2, B[i]);
  }
  for(i=(1);i<(N);i++){
    chmax(mx2, B[i]);
  }
  if(mn1 < -4611686016279904256LL || mn2 < -4611686016279904256LL || mx1 > 4611686016279904256LL || mx2 > 4611686016279904256LL || mx1-mn1 > 4611686016279904256LL || mx2-mn2 > 4611686016279904256LL){
    sortI(N,A,B,mem);
    return;
  }
  r1 = (typename cLtraits_try_make_unsigned<T1>::type)(mx1) - (typename cLtraits_try_make_unsigned<T1>::type)(mn1);
  r2 = (typename cLtraits_try_make_unsigned<T2>::type)(mx2) - (typename cLtraits_try_make_unsigned<T2>::type)(mn2);
  if(r1 == 0){
    sortA_1_call_L(N, B, mem);
    return;
  }
  if(r2 == 0){
    sortA_1_call_L(N, A, mem);
    return;
  }
  if(r1 <= N){
    so2 = 1;
    for(i=(1);i<(N);i++){
      if(B[i-1] > B[i]){
        so2 = 0;
        break;
      }
    }
    if(so2 == 1){
      T1*aa;
      T2*bb;
      int*pos;
      int k;
      walloc1d(&aa,N,&mem);
      walloc1d(&bb,N,&mem);
      walloc1d(&pos,r1+2,&mem);
      for(i=(0);i<(r1+2);i++){
        pos[i] = 0;
      }
      for(i=(0);i<(N);i++){
        aa[i] = A[i];
      }
      for(i=(0);i<(N);i++){
        bb[i] = B[i];
      }
      for(i=(0);i<(N);i++){
        pos[(typename cLtraits_try_make_unsigned<T1>::type)((typename cLtraits_try_make_unsigned<T1>::type)aa[i]-(typename cLtraits_try_make_unsigned<T1>::type)mn1)+1]++;
      }
      for(i=(1);i<(r1+2);i++){
        pos[i] += pos[i-1];
      }
      for(i=(0);i<(N);i++){
        k = pos[(typename cLtraits_try_make_unsigned<T1>::type)((typename cLtraits_try_make_unsigned<T1>::type)aa[i]-(typename cLtraits_try_make_unsigned<T1>::type)mn1)+0]++;
        A[k] = aa[i];
        B[k] = bb[i];
      }
      return;
    }
  }
  s1 = s2 = 1;
  while( s1 < 64 && r1 >= (1ULL<<s1) ){
    s1++;
  }
  while( s2 < 64 && r2 >= (1ULL<<s2) ){
    s2++;
  }
  if(s1 + s2 <= 32){
    unsigned*tmp;
    walloc1d(&tmp,N,&mem);
    for(i=(0);i<(N);i++){
      tmp[i] = (((unsigned)((int)A[i]-(int)mn1)) << s2) | ((unsigned)((int)B[i]-(int)mn2));
    }
    sortA_1_call_L(N, tmp, mem);
    for(i=(0);i<(N);i++){
      A[i] = ((int)(tmp[i] >> s2)) + ((int)mn1);
      B[i] = ((int)(tmp[i] & ((1U<<s2)-1))) + ((int)mn2);
    }
    return;
  }
  if(s1 + s2 <= 64){
    unsigned long long*tmp;
    walloc1d(&tmp,N,&mem);
    for(i=(0);i<(N);i++){
      tmp[i] = (((unsigned long long)((long long)A[i]-(long long)mn1)) << s2) | ((unsigned long long)((long long)B[i]-(long long)mn2));
    }
    sortA_1_call_L(N, tmp, mem);
    for(i=(0);i<(N);i++){
      A[i] = ((long long)(tmp[i] >> s2)) + ((long long)mn1);
      B[i] = ((long long)(tmp[i] & ((1ULL<<s2)-1))) + ((long long)mn2);
    }
    return;
  }
  sortI(N,A,B,mem);
}
template<class T1, class T2> void sortA_2_nonint_L(int N, T1 A[], T2 B[], void *mem = wmem){
  sortI(N,A,B,mem);
}
template<class T1, class T2> void sortA_2_call_L(int N, T1 A[], T2 B[], void *mem = wmem){
  sortA_2_nonint_L(N, A, B, mem);
}
template<class T2> void sortA_2_call_L(int N, int A[], T2 B[], void *mem){
  sortA_2_int_L(N, A, B, mem);
}
template<class T2> void sortA_2_call_L(int N, unsigned A[], T2 B[], void *mem){
  sortA_2_int_L(N, A, B, mem);
}
template<class T2> void sortA_2_call_L(int N, long long A[], T2 B[], void *mem){
  sortA_2_int_L(N, A, B, mem);
}
template<class T2> void sortA_2_call_L(int N, unsigned long long A[], T2 B[], void *mem){
  sortA_2_int_L(N, A, B, mem);
}
template<class T2> void sortA_2_call_L(int N, char A[], T2 B[], void *mem){
  sortA_2_int_L(N, A, B, mem);
}
template<class T1, class T2> void sortA(int N, T1 a[], T2 b[], void *mem = wmem){
  sortA_2_call_L(N, a, b, mem);
}
template<class T1, class T2, class T3> void sortA(int N, T1 a[], T2 b[], T3 c[], void *mem = wmem){
  int i;
  pair<T1, pair<T2, T3> >*arr;
  walloc1d(&arr, N, &mem);
  for(i=(0);i<(N);i++){
    arr[i].first = a[i];
    arr[i].second.first = b[i];
    arr[i].second.second = c[i];
  }
  sort(arr, arr+N);
  for(i=(0);i<(N);i++){
    a[i] = arr[i].first;
    b[i] = arr[i].second.first;
    c[i] = arr[i].second.second;
  }
}
template<class T1, class T2, class T3, class T4> void sortA(int N, T1 a[], T2 b[], T3 c[], T4 d[], void *mem = wmem){
  int i;
  pair<pair<T1, T2>, pair<T3, T4> >*arr;
  walloc1d(&arr, N, &mem);
  for(i=(0);i<(N);i++){
    arr[i].first.first = a[i];
    arr[i].first.second = b[i];
    arr[i].second.first = c[i];
    arr[i].second.second = d[i];
  }
  sort(arr, arr+N);
  for(i=(0);i<(N);i++){
    a[i] = arr[i].first.first;
    b[i] = arr[i].first.second;
    c[i] = arr[i].second.first;
    d[i] = arr[i].second.second;
  }
}
template<class T> void Unique(int &N, T A[], int sorted=0, void *mwm = wmem){
  int i;
  int k;
  if(!sorted){
    sortA(N, A);
  }
  k = 0;
  for(i=(0);i<(N);i++){
    if(k==0 || A[k-1]!=A[i]){
      A[k++] = A[i];
    }
  }
  N = k;
}
template<class T, class S> void Unique(int &N, T A[], S B[], int sorted=0, void *mem = wmem){
  int i;
  int k = 0;
  if(!sorted){
    sortA(N, A, B, mem);
  }
  for(i=(0);i<(N);i++){
    if(!k || A[k-1]!=A[i]){
      A[k] = A[i];
      B[k] = B[i];
      k++;
    }
    else{
      B[k-1] += B[i];
    }
  }
  N=k;
}
#define main dummy_main
int main(){
  wmem = memarr;
  return 0;
}
#undef main
int N;
int A[1000000];
int B[1000000];
long long ok[1000000];
long long val[1000000];
long long x[1000000];
long long y[1000000];
class Solution{
  public:
  int minGroupsForValidAssignment(vector<int> &nums){
    dummy_main();
    int i;
    int j;
    int k;
    int M = nums.size();
    long long res = 4611686016279904256LL;
    N = nums.size();
    for(i=(0);i<(N);i++){
      A[i] = nums[i];
      B[i] = 1;
    }
    Unique(N, A, B);
    for(i=(0);i<(M+1);i++){
      ok[i] = val[i] = 0;
    }
    for(i=(0);i<(N);i++){
      for(j=(0);j<(B[i]+1);j++){
        x[j] = 0;
        y[j] = 1073709056;
      }
      for(j=(1);j<(B[i]+1);j++){
        k = B[i] / j;
        x[k] = 1;
        chmin(y[k], j);
        if(B[i]%j==0){
          x[k-1] = 1;
          chmin(y[k-1], j);
        }
      }
      for(j=(0);j<(B[i]+1);j++){
        ok[j] += x[j];
        val[j] += y[j];
      }
    }
    for(i=(1);i<(M+1);i++){
      if(ok[i]==N){
        chmin(res, val[i]);
      }
    }
    return res;
  }
}
;
// cLay version 20231031-1

// --- original code ---
// #define main dummy_main
// {}
// #undef main
// 
// int N, A[1d6], B[];
// ll ok[], val[], x[], y[];
// 
// class Solution {
// public:
//   int minGroupsForValidAssignment(VI &nums) {
//     dummy_main();
//     int i, j, k, M = nums.size();
//     ll res = ll_inf;
//     N = nums.size();
//     rep(i,N) A[i] = nums[i], B[i] = 1;
//     Unique(N, A, B);
// 
//     rep(i,M+1) ok[i] = val[i] = 0;
//     rep(i,N){
//       rep(j,B[i]+1) x[j] = 0, y[j] = int_inf;
//       rep(j,1,B[i]+1){
//         k = B[i] / j;
//         x[k] = 1;
//         y[k] <?= j;
//         if(B[i]%j==0) x[k-1] = 1, y[k-1] <?= j;
//       }
//       rep(j,B[i]+1) ok[j] += x[j], val[j] += y[j];
//     }
// 
//     rep(i,1,M+1) if(ok[i]==N) res <?= val[i];
//     return res;
//   }
// };
