public static void main ( String [ ] args ) {
  Scanner in = new Scanner ( System . in ) ;
  int n = in . nextInt ( ) ;
  int C = in . nextInt ( ) ;
  Map < Integer , List < int [ ] >> map = new HashMap < > ( ) ;
  for ( int i = 1 ;
  i <= C ;
  i ++ ) {
    List < int [ ] > list = new ArrayList < > ( ) ;
    map . put ( i , list ) ;
  }
  for ( int i = 0 ;
  i < n ;
  i ++ ) {
    int [ ] tmp = {
      in . nextInt ( ) , in . nextInt ( ) };
      int c = in . nextInt ( ) ;
      map . get ( c ) . add ( tmp ) ;
    }
    int [ ] time = new int [ 100002 ] ;
    for ( int i = 1 ;
    i <= C ;
    i ++ ) {
      List < int [ ] > list = map . get ( i ) ;
      list . sort ( ( st1 , st2 ) -> st1 [ 0 ] - st2 [ 0 ] ) ;
      int last = 0 ;
      for ( int [ ] st : list ) {
        if ( last == st [ 0 ] ) {
          time [ last + 1 ] ++ ;
          time [ st [ 1 ] + 1 ] -- ;
          last = st [ 1 ] ;
        }
        else {
          time [ st [ 0 ] ] ++ ;
          time [ st [ 1 ] + 1 ] -- ;
          last = st [ 1 ] ;
        }
      }
    }
    for ( int i = 1 ;
    i <= 100001 ;
    i ++ ) {
      time [ i ] += time [ i - 1 ] ;
    }
    int max = 0 ;
    for ( int i = 1 ;
    i <= 100001 ;
    i ++ ) {
      max = Math . max ( max , time [ i ] ) ;
    }
    System . out . println ( max ) ;
    in . close ( ) ;
  }
  
public static void main ( String [ ] args ) { Scanner in = new Scanner ( System . in ) ; int n = in . nextInt ( ) ; int C = in . nextInt ( ) ; Map < Integer , List < int [ ] > > map = new HashMap < > ( ) ; for ( int i = 1 ; i <= C ; i ++ ) { List < int [ ] > list = new ArrayList < > ( ) ; map . put ( i , list ) ; } for ( int i = 0 ; i < n ; i ++ ) { int [ ] tmp = { in . nextInt ( ) , in . nextInt ( ) } ; int c = in . nextInt ( ) ; map . get ( c ) . add ( tmp ) ; } int [ ] time = new int [ 100002 ] ; for ( int i = 1 ; i <= C ; i ++ ) { List < int [ ] > list = map . get ( i ) ; list . sort ( ( st1 , st2 ) -> st1 [ 0 ] - st2 [ 0 ] ) ; int last = 0 ; for ( int [ ] st : list ) { if ( last == st [ 0 ] ) { time [ last + 1 ] ++ ; time [ st [ 1 ] + 1 ] -- ; last = st [ 1 ] ; } else { time [ st [ 0 ] ] ++ ; time [ st [ 1 ] + 1 ] -- ; last = st [ 1 ] ; } } } for ( int i = 1 ; i <= 100001 ; i ++ ) { time [ i ] += time [ i - 1 ] ; } int max = 0 ; for ( int i = 1 ; i <= 100001 ; i ++ ) { max = Math . max ( max , time [ i ] ) ; } System . out . println ( max ) ; in . close ( ) ; }
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