public static void main ( String [ ] args ) {
  Scanner sc = new Scanner ( System . in ) ;
  int N = sc . nextInt ( ) ;
  int C = sc . nextInt ( ) ;
  int TIME = 100001 ;
  int [ ] [ ] acc = new int [ TIME ] [ C + 1 ] ;
  for ( int i = 0 ;
  i < N ;
  i ++ ) {
    int s = sc . nextInt ( ) ;
    int t = sc . nextInt ( ) ;
    int c = sc . nextInt ( ) ;
    acc [ s ] [ c ] += 1 ;
    acc [ t ] [ c ] -= 1 ;
  }
  for ( int t = 1 ;
  t < TIME ;
  t ++ ) {
    for ( int c = 1 ;
    c <= C ;
    c ++ ) {
      acc [ t ] [ c ] = acc [ t ] [ c ] + acc [ t - 1 ] [ c ] ;
    }
  }
  for ( int t = 1 ;
  t < TIME ;
  t ++ ) {
    for ( int c = 1 ;
    c <= C ;
    c ++ ) {
      if ( acc [ t ] [ c ] > 0 && acc [ t - 1 ] [ c ] != acc [ t ] [ c ] ) {
        acc [ t - 1 ] [ c ] += acc [ t ] [ c ] ;
      }
    }
  }
  int needMaxCnt = 0 ;
  for ( int t = 1 ;
  t < TIME ;
  t ++ ) {
    int tmpMaxCnt = 0 ;
    for ( int c = 1 ;
    c <= C ;
    c ++ ) {
      tmpMaxCnt += acc [ t ] [ c ] ;
    }
    needMaxCnt = Math . max ( needMaxCnt , tmpMaxCnt ) ;
  }
  out . println ( needMaxCnt ) ;
}

public static void main ( String [ ] args ) { Scanner sc = new Scanner ( System . in ) ; int N = sc . nextInt ( ) ; int C = sc . nextInt ( ) ; int TIME = 100001 ; int [ ] [ ] acc = new int [ TIME ] [ C + 1 ] ; for ( int i = 0 ; i < N ; i ++ ) { int s = sc . nextInt ( ) ; int t = sc . nextInt ( ) ; int c = sc . nextInt ( ) ; acc [ s ] [ c ] += 1 ; acc [ t ] [ c ] -= 1 ; } for ( int t = 1 ; t < TIME ; t ++ ) { for ( int c = 1 ; c <= C ; c ++ ) { acc [ t ] [ c ] = acc [ t ] [ c ] + acc [ t - 1 ] [ c ] ; } } for ( int t = 1 ; t < TIME ; t ++ ) { for ( int c = 1 ; c <= C ; c ++ ) { if ( acc [ t ] [ c ] > 0 && acc [ t - 1 ] [ c ] != acc [ t ] [ c ] ) { acc [ t - 1 ] [ c ] += acc [ t ] [ c ] ; } } } int needMaxCnt = 0 ; for ( int t = 1 ; t < TIME ; t ++ ) { int tmpMaxCnt = 0 ; for ( int c = 1 ; c <= C ; c ++ ) { tmpMaxCnt += acc [ t ] [ c ] ; } needMaxCnt = Math . max ( needMaxCnt , tmpMaxCnt ) ; } out . println ( needMaxCnt ) ; }
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