public static void main ( String args [ ] ) {
  Scanner sc = new Scanner ( System . in ) ;
  int n = sc . nextInt ( ) ;
  long [ ] a = new long [ n ] ;
  for ( int i = 0 ;
  i < n ;
  i ++ ) {
    a [ i ] = sc . nextLong ( ) ;
  }
  long sum = 0 ;
  for ( int i = 0 ;
  i < n ;
  i ++ ) {
    sum += a [ i ] ;
  }
  long nn = n ;
  long consume = nn * ( nn + 1 ) / 2 ;
  if ( sum % consume != 0 ) {
    System . out . println ( "NO" ) ;
    return ;
  }
  long sump = sum / consume ;
  long cnt = 0 ;
  boolean isok = true ;
  for ( int i = 0 ;
  i < n ;
  i ++ ) {
    long chil = ( a [ ( i - 1 + n ) % n ] + sump - a [ i ] ) ;
    if ( chil < 0 || chil % n != 0 ) isok = false ;
    long p = chil / n ;
    if ( a [ ( i - 1 + n ) % n ] + ( sump - p ) != a [ i ] + ( n - 1 ) * p ) isok = false ;
    if ( p < 0 ) isok = false ;
    cnt += p ;
  }
  if ( isok && sump == cnt ) {
    System . out . println ( "YES" ) ;
  }
  else {
    System . out . println ( "NO" ) ;
  }
  return ;
}

public static void main ( String args [ ] ) { Scanner sc = new Scanner ( System . in ) ; int n = sc . nextInt ( ) ; long [ ] a = new long [ n ] ; for ( int i = 0 ; i < n ; i ++ ) { a [ i ] = sc . nextLong ( ) ; } long sum = 0 ; for ( int i = 0 ; i < n ; i ++ ) { sum += a [ i ] ; } long nn = n ; long consume = nn * ( nn + 1 ) / 2 ; if ( sum % consume != 0 ) { System . out . println ( " NO " ) ; return ; } long sump = sum / consume ; long cnt = 0 ; boolean isok = true ; for ( int i = 0 ; i < n ; i ++ ) { long chil = ( a [ ( i - 1 + n ) % n ] + sump - a [ i ] ) ; if ( chil < 0 || chil % n != 0 ) isok = false ; long p = chil / n ; if ( a [ ( i - 1 + n ) % n ] + ( sump - p ) != a [ i ] + ( n - 1 ) * p ) isok = false ; if ( p < 0 ) isok = false ; cnt += p ; } if ( isok && sump == cnt ) { System . out . println ( " YES " ) ; } else { System . out . println ( " NO " ) ; } return ; }
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