#pragma GCC optimize ("Ofast")
#include<bits/stdc++.h>
using namespace std;
#define MD 1000000007
void * wmem;
template < class S, class T> inline S min_L( S a,T b) {
return a<= b? a: 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) ;
}
struct mint{
static unsigned R, RR, Rinv, W, md, mdninv;
unsigned val;
mint( ) {
}
mint( int a) {
val = mulR( a) ;
}
mint( unsigned a) {
val = mulR( a) ;
}
mint( long long a) {
val = mulR( a) ;
}
mint( unsigned long long a) {
val = mulR( a) ;
}
int get_inv( long long a, int md) {
long long e, s= md, t= a, u= 1 , v= 0 ;
while ( s) {
e= t/ s;
t- = e* s;
u- = e* v;
swap( t,s) ;
swap( u,v) ;
}
if ( u< 0 ) {
u+ = md;
}
return u;
}
void setmod( unsigned m) {
int i;
unsigned t;
W = 32 ;
md = m;
R = ( 1ULL << W) % md;
RR = ( unsigned long long ) R* R % md;
switch ( m) {
case 104857601 :
Rinv = 2560000 ;
mdninv = 104857599 ;
break ;
case 998244353 :
Rinv = 232013824 ;
mdninv = 998244351 ;
break ;
case 1000000007 :
Rinv = 518424770 ;
mdninv = 2226617417U;
break ;
case 1000000009 :
Rinv = 171601999 ;
mdninv = 737024967 ;
break ;
case 1004535809 :
Rinv = 234947584 ;
mdninv = 1004535807 ;
break ;
case 1007681537 :
Rinv = 236421376 ;
mdninv = 1007681535 ;
break ;
case 1012924417 :
Rinv = 238887936 ;
mdninv = 1012924415 ;
break ;
case 1045430273 :
Rinv = 254466304 ;
mdninv = 1045430271 ;
break ;
case 1051721729 :
Rinv = 257538304 ;
mdninv = 1051721727 ;
break ;
default :
Rinv = get_inv( R, md) ;
mdninv = 0 ;
t = 0 ;
for ( i= 0 ; i< ( ( int ) W) ; i++ ) {
if ( t% 2 == 0 ) {
t+ = md;
mdninv | = ( 1U<< i) ;
}
t / = 2 ;
}
}
}
unsigned mulR( unsigned a) {
return ( unsigned long long ) a* R% md;
}
unsigned mulR( int a) {
if ( a < 0 ) {
a = a% ( ( int ) md) + ( int ) md;
}
return mulR( ( unsigned ) a) ;
}
unsigned mulR( unsigned long long a) {
return mulR( ( unsigned ) ( a% md) ) ;
}
unsigned mulR( long long a) {
a % = md;
if ( a < 0 ) {
a + = md;
}
return mulR( ( unsigned ) a) ;
}
unsigned reduce( unsigned T) {
unsigned m= T * mdninv, t= ( unsigned ) ( ( T + ( unsigned long long ) m* md) >> W) ;
if ( t >= md) {
t - = md;
}
return t;
}
unsigned reduce( unsigned long long T) {
unsigned m= ( unsigned ) T * mdninv, t= ( unsigned ) ( ( T + ( unsigned long long ) m* md) >> W) ;
if ( t >= md) {
t - = md;
}
return t;
}
unsigned get( ) {
return reduce( val) ;
}
mint & operator+ = ( mint a) {
val + = a.val ;
if ( val >= md) {
val - = md;
}
return * this ;
}
mint & operator- = ( mint a) {
if ( val < a.val ) {
val = val + md - a.val ;
}
else {
val - = a.val ;
}
return * this ;
}
mint & operator* = ( mint a) {
val = reduce( ( unsigned long long ) val* a.val ) ;
return * this ;
}
mint & operator/ = ( mint a) {
return * this * = a.inverse ( ) ;
}
mint operator+ ( mint a) {
return mint( * this ) + = a;
}
mint operator- ( mint a) {
return mint( * this ) - = a;
}
mint operator* ( mint a) {
return mint( * this ) * = a;
}
mint operator/ ( mint a) {
return mint( * this ) / = a;
}
mint operator+ ( int a) {
return mint( * this ) + = mint( a) ;
}
mint operator- ( int a) {
return mint( * this ) - = mint( a) ;
}
mint operator* ( int a) {
return mint( * this ) * = mint( a) ;
}
mint operator/ ( int a) {
return mint( * this ) / = mint( a) ;
}
mint operator+ ( long long a) {
return mint( * this ) + = mint( a) ;
}
mint operator- ( long long a) {
return mint( * this ) - = mint( a) ;
}
mint operator* ( long long a) {
return mint( * this ) * = mint( a) ;
}
mint operator/ ( long long a) {
return mint( * this ) / = mint( a) ;
}
mint operator- ( void ) {
mint res;
if ( val) {
res.val = md- val;
}
else {
res.val = 0 ;
}
return res;
}
operator bool ( void ) {
return val! = 0 ;
}
operator int ( void ) {
return get( ) ;
}
operator long long ( void ) {
return get( ) ;
}
mint inverse( ) {
int a= val, b= md, t, u= 1 , v= 0 ;
mint res;
while ( b) {
t = a / b;
a - = t * b;
swap( a, b) ;
u - = t * v;
swap( u, v) ;
}
if ( u < 0 ) {
u + = md;
}
res.val = ( unsigned long long ) u* RR % md;
return res;
}
mint pw( unsigned long long b) {
mint a( * this ) , res;
res.val = R;
while ( b) {
if ( b& 1 ) {
res * = a;
}
b >>= 1 ;
a * = a;
}
return res;
}
bool operator== ( int a) {
return mulR( a) == val;
}
bool operator! = ( int a) {
return mulR( a) ! = val;
}
}
;
mint operator+ ( int a, mint b) {
return mint( a) + = b;
}
mint operator- ( int a, mint b) {
return mint( a) - = b;
}
mint operator* ( int a, mint b) {
return mint( a) * = b;
}
mint operator/ ( int a, mint b) {
return mint( a) / = b;
}
mint operator+ ( long long a, mint b) {
return mint( a) + = b;
}
mint operator- ( long long a, mint b) {
return mint( a) - = b;
}
mint operator* ( long long a, mint b) {
return mint( a) * = b;
}
mint operator/ ( long long a, mint b) {
return mint( a) / = b;
}
int Prime_L( int N, int res[ ] , void * mem= wmem) {
bool * isprime;
const int r= 23000 ;
int a, b, i, * sf, ss= 1 , sz= 1 ;
walloc1d( & isprime, r, & mem) ;
walloc1d( & sf, r, & mem) ;
isprime = ( bool * ) mem;
sf = ( int * ) ( isprime + r) ;
N / = 2 ;
res[ 0 ] = 2 ;
b = min_L( r, N) ;
for ( i= ( 1 ) ; i< ( b) ; i++ ) {
isprime[ i] = 1 ;
}
for ( i= ( 1 ) ; i< ( b) ; i++ ) {
if ( isprime[ i] ) {
res[ sz++ ] = 2 * i+ 1 ;
sf[ ss] = 2 * i* ( i+ 1 ) ;
if ( sf[ ss] < N) {
while ( sf[ ss] < r) {
isprime[ sf[ ss] ] = 0 ;
sf[ ss] + = res[ ss] ;
}
ss++ ;
}
}
}
for ( a= r; a< N; a+ = r) {
b = min_L( a + r, N) ;
isprime - = r;
for ( i= ( a) ; i< ( b) ; i++ ) {
isprime[ i] = 1 ;
}
for ( i= ( 1 ) ; i< ( ss) ; i++ ) {
while ( sf[ i] < b) {
isprime[ sf[ i] ] = 0 ;
sf[ i] + = res[ i] ;
}
}
for ( i= ( a) ; i< ( b) ; i++ ) {
if ( isprime[ i] ) {
res[ sz++ ] = 2 * i+ 1 ;
}
}
}
return sz;
}
char memarr[ 96000000 ] ;
unsigned mint:: R , mint:: RR , mint:: Rinv , mint:: W , mint:: md , mint:: mdninv ;
#define main dummy_main
int main( ) {
wmem = memarr;
{
mint x;
x.setmod ( MD) ;
}
return 0 ;
}
#undef main
int ps;
int p[ 101 ] ;
mint fact[ 101 ] ;
class Solution{
public :
int numPrimeArrangements( int n) {
int i;
dummy_main( ) ;
ps = Prime_L( n+ 1 , p) ;
fact[ 0 ] = 1 ;
for ( i= ( 1 ) ; i< ( n+ 1 ) ; i++ ) {
fact[ i] = fact[ i- 1 ] * i;
}
return fact[ ps] * fact[ n- ps] ;
}
}
;
// cLay varsion 20190830-1
// --- original code ---
// #define main dummy_main
// {}
// #undef main
//
// int ps, p[101];
// mint fact[101];
//
// class Solution {
// public:
// int numPrimeArrangements(int n) {
// dummy_main();
// ps = Prime(n+1, p);
// fact[0] = 1;
// rep(i,1,n+1) fact[i] = fact[i-1] * i;
// return fact[ps] * fact[n-ps];
// }
// };
#pragma GCC optimize ("Ofast")
#include<bits/stdc++.h>
using namespace std;
#define MD 1000000007
void *wmem;
template<class S, class T> inline S min_L(S a,T b){
  return a<=b?a: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);
}
struct mint{
  static unsigned R, RR, Rinv, W, md, mdninv;
  unsigned val;
  mint(){
  }
  mint(int a){
    val = mulR(a);
  }
  mint(unsigned a){
    val = mulR(a);
  }
  mint(long long a){
    val = mulR(a);
  }
  mint(unsigned long long a){
    val = mulR(a);
  }
  int get_inv(long long a, int md){
    long long e, s=md, t=a, u=1, v=0;
    while(s){
      e=t/s;
      t-=e*s;
      u-=e*v;
      swap(t,s);
      swap(u,v);
    }
    if(u<0){
      u+=md;
    }
    return u;
  }
  void setmod(unsigned m){
    int i;
    unsigned t;
    W = 32;
    md = m;
    R = (1ULL << W) % md;
    RR = (unsigned long long)R*R % md;
    switch(m){
      case 104857601:
      Rinv = 2560000;
      mdninv = 104857599;
      break;
      case 998244353:
      Rinv = 232013824;
      mdninv = 998244351;
      break;
      case 1000000007:
      Rinv = 518424770;
      mdninv = 2226617417U;
      break;
      case 1000000009:
      Rinv = 171601999;
      mdninv = 737024967;
      break;
      case 1004535809:
      Rinv = 234947584;
      mdninv = 1004535807;
      break;
      case 1007681537:
      Rinv = 236421376;
      mdninv = 1007681535;
      break;
      case 1012924417:
      Rinv = 238887936;
      mdninv = 1012924415;
      break;
      case 1045430273:
      Rinv = 254466304;
      mdninv = 1045430271;
      break;
      case 1051721729:
      Rinv = 257538304;
      mdninv = 1051721727;
      break;
      default:
      Rinv = get_inv(R, md);
      mdninv = 0;
      t = 0;
      for(i=0;i<((int)W);i++){
        if(t%2==0){
          t+=md;
          mdninv |= (1U<<i);
        }
        t /= 2;
      }
    }
  }
  unsigned mulR(unsigned a){
    return (unsigned long long)a*R%md;
  }
  unsigned mulR(int a){
    if(a < 0){
      a = a%((int)md)+(int)md;
    }
    return mulR((unsigned)a);
  }
  unsigned mulR(unsigned long long a){
    return mulR((unsigned)(a%md));
  }
  unsigned mulR(long long a){
    a %= md;
    if(a < 0){
      a += md;
    }
    return mulR((unsigned)a);
  }
  unsigned reduce(unsigned T){
    unsigned m=T * mdninv, t=(unsigned)((T + (unsigned long long)m*md) >> W);
    if(t >= md){
      t -= md;
    }
    return t;
  }
  unsigned reduce(unsigned long long T){
    unsigned m=(unsigned)T * mdninv, t=(unsigned)((T + (unsigned long long)m*md) >> W);
    if(t >= md){
      t -= md;
    }
    return t;
  }
  unsigned get(){
    return reduce(val);
  }
  mint &operator+=(mint a){
    val += a.val;
    if(val >= md){
      val -= md;
    }
    return *this;
  }
  mint &operator-=(mint a){
    if(val < a.val){
      val = val + md - a.val;
    }
    else{
      val -= a.val;
    }
    return *this;
  }
  mint &operator*=(mint a){
    val = reduce((unsigned long long)val*a.val);
    return *this;
  }
  mint &operator/=(mint a){
    return *this *= a.inverse();
  }
  mint operator+(mint a){
    return mint(*this)+=a;
  }
  mint operator-(mint a){
    return mint(*this)-=a;
  }
  mint operator*(mint a){
    return mint(*this)*=a;
  }
  mint operator/(mint a){
    return mint(*this)/=a;
  }
  mint operator+(int a){
    return mint(*this)+=mint(a);
  }
  mint operator-(int a){
    return mint(*this)-=mint(a);
  }
  mint operator*(int a){
    return mint(*this)*=mint(a);
  }
  mint operator/(int a){
    return mint(*this)/=mint(a);
  }
  mint operator+(long long a){
    return mint(*this)+=mint(a);
  }
  mint operator-(long long a){
    return mint(*this)-=mint(a);
  }
  mint operator*(long long a){
    return mint(*this)*=mint(a);
  }
  mint operator/(long long a){
    return mint(*this)/=mint(a);
  }
  mint operator-(void){
    mint res;
    if(val){
      res.val=md-val;
    }
    else{
      res.val=0;
    }
    return res;
  }
  operator bool(void){
    return val!=0;
  }
  operator int(void){
    return get();
  }
  operator long long(void){
    return get();
  }
  mint inverse(){
    int a=val, b=md, t, u=1, v=0;
    mint res;
    while(b){
      t = a / b;
      a -= t * b;
      swap(a, b);
      u -= t * v;
      swap(u, v);
    }
    if(u < 0){
      u += md;
    }
    res.val = (unsigned long long)u*RR % md;
    return res;
  }
  mint pw(unsigned long long b){
    mint a(*this), res;
    res.val = R;
    while(b){
      if(b&1){
        res *= a;
      }
      b >>= 1;
      a *= a;
    }
    return res;
  }
  bool operator==(int a){
    return mulR(a)==val;
  }
  bool operator!=(int a){
    return mulR(a)!=val;
  }
}
;
mint operator+(int a, mint b){
  return mint(a)+=b;
}
mint operator-(int a, mint b){
  return mint(a)-=b;
}
mint operator*(int a, mint b){
  return mint(a)*=b;
}
mint operator/(int a, mint b){
  return mint(a)/=b;
}
mint operator+(long long a, mint b){
  return mint(a)+=b;
}
mint operator-(long long a, mint b){
  return mint(a)-=b;
}
mint operator*(long long a, mint b){
  return mint(a)*=b;
}
mint operator/(long long a, mint b){
  return mint(a)/=b;
}
int Prime_L(int N, int res[], void *mem=wmem){
  bool *isprime;
  const int r=23000;
  int a, b, i, *sf, ss=1, sz=1;
  walloc1d(&isprime, r, &mem);
  walloc1d(&sf, r, &mem);
  isprime = (bool*)mem;
  sf = (int*)(isprime + r);
  N /= 2;
  res[0] = 2;
  b =min_L(r, N);
  for(i=(1);i<(b);i++){
    isprime[i] = 1;
  }
  for(i=(1);i<(b);i++){
    if(isprime[i]){
      res[sz++] = 2*i+1;
      sf[ss] = 2*i*(i+1);
      if(sf[ss] < N){
        while(sf[ss] < r){
          isprime[sf[ss]] = 0;
          sf[ss] += res[ss];
        }
        ss++;
      }
    }
  }
  for(a=r; a<N; a+=r){
    b =min_L(a + r, N);
    isprime -= r;
    for(i=(a);i<(b);i++){
      isprime[i] = 1;
    }
    for(i=(1);i<(ss);i++){
      while(sf[i] < b){
        isprime[sf[i]] = 0;
        sf[i] += res[i];
      }
    }
    for(i=(a);i<(b);i++){
      if(isprime[i]){
        res[sz++] = 2*i+1;
      }
    }
  }
  return sz;
}
char memarr[96000000];
unsigned mint::R, mint::RR, mint::Rinv, mint::W, mint::md, mint::mdninv;
#define main dummy_main
int main(){
  wmem = memarr;
  {
    mint x;
    x.setmod(MD);
  }
  return 0;
}
#undef main
int ps;
int p[101];
mint fact[101];
class Solution{
  public:
  int numPrimeArrangements(int n){
    int i;
    dummy_main();
    ps =Prime_L(n+1, p);
    fact[0] = 1;
    for(i=(1);i<(n+1);i++){
      fact[i] = fact[i-1] * i;
    }
    return fact[ps] * fact[n-ps];
  }
}
;
// cLay varsion 20190830-1

// --- original code ---
// #define main dummy_main
// {}
// #undef main
// 
// int ps, p[101];
// mint fact[101];
// 
// class Solution {
// public:
//   int numPrimeArrangements(int n) {
//     dummy_main();
//     ps = Prime(n+1, p);
//     fact[0] = 1;
//     rep(i,1,n+1) fact[i] = fact[i-1] * i;
//     return fact[ps] * fact[n-ps];
//   }
// };
