static int numofArray ( int n , int m ) {
  int [ ] [ ] dp = new int [ MAX ] [ MAX ] ;
  Vector < Integer > [ ] di = new Vector [ MAX ] ;
  Vector < Integer > [ ] mu = new Vector [ MAX ] ;
  for ( int i = 0 ;
  i < MAX ;
  i ++ ) {
    for ( int j = 0 ;
    j < MAX ;
    j ++ ) {
      dp [ i ] [ j ] = 0 ;
    }
  }
  for ( int i = 0 ;
  i < MAX ;
  i ++ ) {
    di [ i ] = new Vector < > ( ) ;
    mu [ i ] = new Vector < > ( ) ;
  }
  for ( int i = 1 ;
  i <= m ;
  i ++ ) {
    for ( int j = 2 * i ;
    j <= m ;
    j += i ) {
      di [ j ] . add ( i ) ;
      mu [ i ] . add ( j ) ;
    }
    di [ i ] . add ( i ) ;
  }
  for ( int i = 1 ;
  i <= m ;
  i ++ ) dp [ 1 ] [ i ] = 1 ;
  for ( int i = 2 ;
  i <= n ;
  i ++ ) {
    for ( int j = 1 ;
    j <= m ;
    j ++ ) {
      dp [ i ] [ j ] = 0 ;
      for ( Integer x : di [ j ] ) dp [ i ] [ j ] += dp [ i - 1 ] [ x ] ;
      for ( Integer x : mu [ j ] ) dp [ i ] [ j ] += dp [ i - 1 ] [ x ] ;
    }
  }
  int ans = 0 ;
  for ( int i = 1 ;
  i <= m ;
  i ++ ) {
    ans += dp [ n ] [ i ] ;
    di [ i ] . clear ( ) ;
    mu [ i ] . clear ( ) ;
  }
  return ans ;
}

static int numofArray ( int n , int m ) { int [ ] [ ] dp = new int [ MAX ] [ MAX ] ; Vector < Integer > [ ] di = new Vector [ MAX ] ; Vector < Integer > [ ] mu = new Vector [ MAX ] ; for ( int i = 0 ; i < MAX ; i ++ ) { for ( int j = 0 ; j < MAX ; j ++ ) { dp [ i ] [ j ] = 0 ; } } for ( int i = 0 ; i < MAX ; i ++ ) { di [ i ] = new Vector < > ( ) ; mu [ i ] = new Vector < > ( ) ; } for ( int i = 1 ; i <= m ; i ++ ) { for ( int j = 2 * i ; j <= m ; j += i ) { di [ j ] . add ( i ) ; mu [ i ] . add ( j ) ; } di [ i ] . add ( i ) ; } for ( int i = 1 ; i <= m ; i ++ ) dp [ 1 ] [ i ] = 1 ; for ( int i = 2 ; i <= n ; i ++ ) { for ( int j = 1 ; j <= m ; j ++ ) { dp [ i ] [ j ] = 0 ; for ( Integer x : di [ j ] ) dp [ i ] [ j ] += dp [ i - 1 ] [ x ] ; for ( Integer x : mu [ j ] ) dp [ i ] [ j ] += dp [ i - 1 ] [ x ] ; } } int ans = 0 ; for ( int i = 1 ; i <= m ; i ++ ) { ans += dp [ n ] [ i ] ; di [ i ] . clear ( ) ; mu [ i ] . clear ( ) ; } return ans ; }
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