public static void main ( String [ ] args ) {
  Scanner sc = new Scanner ( System . in ) ;
  int n = sc . nextInt ( ) ;
  long [ ] x = new long [ n ] , y = new long [ n ] ;
  for ( int i = 0 ;
  i < n ;
  i ++ ) {
    x [ i ] = sc . nextLong ( ) ;
    y [ i ] = sc . nextLong ( ) ;
  }
  long res = modPow ( 2 , n , mod ) - 1 - n ;
  for ( int i = 0 ;
  i < n ;
  i ++ ) {
    for ( int j = i + 1 ;
    j < n ;
    j ++ ) {
      int count = 0 ;
      for ( int k = 0 ;
      k < n ;
      k ++ ) {
        if ( ( ( x [ i ] - x [ k ] ) * ( y [ j ] - y [ k ] ) ) == ( ( x [ j ] - x [ k ] ) * ( y [ i ] - y [ k ] ) ) ) count ++ ;
      }
      long kumi = modPow ( 2 , count , mod ) - 1 - count ;
      kumi = kumi * inv ( count * ( count - 1 ) / 2 , mod ) % mod ;
      res = ( res - kumi + mod ) % mod ;
    }
  }
  System . out . println ( res ) ;
}

public static void main ( String [ ] args ) { Scanner sc = new Scanner ( System . in ) ; int n = sc . nextInt ( ) ; long [ ] x = new long [ n ] , y = new long [ n ] ; for ( int i = 0 ; i < n ; i ++ ) { x [ i ] = sc . nextLong ( ) ; y [ i ] = sc . nextLong ( ) ; } long res = modPow ( 2 , n , mod ) - 1 - n ; for ( int i = 0 ; i < n ; i ++ ) { for ( int j = i + 1 ; j < n ; j ++ ) { int count = 0 ; for ( int k = 0 ; k < n ; k ++ ) { if ( ( ( x [ i ] - x [ k ] ) * ( y [ j ] - y [ k ] ) ) == ( ( x [ j ] - x [ k ] ) * ( y [ i ] - y [ k ] ) ) ) count ++ ; } long kumi = modPow ( 2 , count , mod ) - 1 - count ; kumi = kumi * inv ( count * ( count - 1 ) / 2 , mod ) % mod ; res = ( res - kumi + mod ) % mod ; } } System . out . println ( res ) ; }
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