public static void main ( String [ ] args ) {
  FastReader scan = new FastReader ( ) ;
  int no = scan . nextInt ( ) ;
  int bitcoins = scan . nextInt ( ) ;
  int ar [ ] = new int [ no ] ;
  ArrayList < Integer > diffs = new ArrayList < > ( ) ;
  for ( int i = 0 ;
  i < no ;
  i ++ ) {
    ar [ i ] = scan . nextInt ( ) ;
  }
  int odd = 0 , even = 0 ;
  for ( int i = 0 ;
  i < no ;
  i ++ ) {
    if ( i != 0 && odd == even ) {
      diffs . add ( Math . abs ( ar [ i ] - ar [ i - 1 ] ) ) ;
    }
    if ( ar [ i ] % 2 == 0 ) even ++ ;
    else odd ++ ;
  }
  Collections . sort ( diffs ) ;
  int count = 0 ;
  for ( int i = 0 ;
  i < diffs . size ( ) ;
  i ++ ) {
    int y = diffs . get ( i ) ;
    if ( bitcoins - y >= 0 ) {
      bitcoins -= y ;
      count ++ ;
    }
  }
  System . out . println ( count ) ;
}

public static void main ( String [ ] args ) { FastReader scan = new FastReader ( ) ; int no = scan . nextInt ( ) ; int bitcoins = scan . nextInt ( ) ; int ar [ ] = new int [ no ] ; ArrayList < Integer > diffs = new ArrayList < > ( ) ; for ( int i = 0 ; i < no ; i ++ ) { ar [ i ] = scan . nextInt ( ) ; } int odd = 0 , even = 0 ; for ( int i = 0 ; i < no ; i ++ ) { if ( i != 0 && odd == even ) { diffs . add ( Math . abs ( ar [ i ] - ar [ i - 1 ] ) ) ; } if ( ar [ i ] % 2 == 0 ) even ++ ; else odd ++ ; } Collections . sort ( diffs ) ; int count = 0 ; for ( int i = 0 ; i < diffs . size ( ) ; i ++ ) { int y = diffs . get ( i ) ; if ( bitcoins - y >= 0 ) { bitcoins -= y ; count ++ ; } } System . out . println ( count ) ; }
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