public static void main ( String [ ] args ) throws IOException {
  BufferedReader f = new BufferedReader ( new InputStreamReader ( System . in ) ) ;
  StringTokenizer st = new StringTokenizer ( f . readLine ( ) ) ;
  int n = Integer . parseInt ( st . nextToken ( ) ) ;
  int b = Integer . parseInt ( st . nextToken ( ) ) ;
  st = new StringTokenizer ( f . readLine ( ) ) ;
  ArrayList < Integer > cuts = new ArrayList < Integer > ( ) ;
  int numOdd = 0 ;
  int numEven = 0 ;
  int [ ] arr = new int [ n ] ;
  for ( int i = 0 ;
  i < n ;
  i ++ ) {
    arr [ i ] = Integer . parseInt ( st . nextToken ( ) ) ;
  }
  for ( int i = 0 ;
  i < n - 1 ;
  i ++ ) {
    if ( arr [ i ] % 2 == 1 ) numOdd ++ ;
    else numEven ++ ;
    if ( numOdd == numEven ) cuts . add ( Math . abs ( arr [ i + 1 ] - arr [ i ] ) ) ;
  }
  Collections . sort ( cuts ) ;
  int price = 0 ;
  int ans = 0 ;
  for ( int i = 0 ;
  i < cuts . size ( ) ;
  i ++ ) {
    price += cuts . get ( i ) ;
    if ( price <= b ) ans ++ ;
    else break ;
  }
  System . out . println ( ans ) ;
}

public static void main ( String [ ] args ) throws IOException { BufferedReader f = new BufferedReader ( new InputStreamReader ( System . in ) ) ; StringTokenizer st = new StringTokenizer ( f . readLine ( ) ) ; int n = Integer . parseInt ( st . nextToken ( ) ) ; int b = Integer . parseInt ( st . nextToken ( ) ) ; st = new StringTokenizer ( f . readLine ( ) ) ; ArrayList < Integer > cuts = new ArrayList < Integer > ( ) ; int numOdd = 0 ; int numEven = 0 ; int [ ] arr = new int [ n ] ; for ( int i = 0 ; i < n ; i ++ ) { arr [ i ] = Integer . parseInt ( st . nextToken ( ) ) ; } for ( int i = 0 ; i < n - 1 ; i ++ ) { if ( arr [ i ] % 2 == 1 ) numOdd ++ ; else numEven ++ ; if ( numOdd == numEven ) cuts . add ( Math . abs ( arr [ i + 1 ] - arr [ i ] ) ) ; } Collections . sort ( cuts ) ; int price = 0 ; int ans = 0 ; for ( int i = 0 ; i < cuts . size ( ) ; i ++ ) { price += cuts . get ( i ) ; if ( price <= b ) ans ++ ; else break ; } System . out . println ( ans ) ; }
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