public static void main ( String [ ] args ) {
  Scanner sc = new Scanner ( System . in ) ;
  int t = sc . nextInt ( ) ;
  while ( t -- > 0 ) {
    int n = sc . nextInt ( ) ;
    int [ ] a = new int [ n + 1 ] ;
    int [ ] b = new int [ n + 1 ] ;
    int [ ] tm = new int [ n + 1 ] ;
    for ( int i = 1 ;
    i <= n ;
    i ++ ) {
      a [ i ] = sc . nextInt ( ) ;
      b [ i ] = sc . nextInt ( ) ;
    }
    for ( int i = 1 ;
    i <= n ;
    i ++ ) {
      tm [ i ] = sc . nextInt ( ) ;
    }
    int ans = 0 , at = 0 , dt = 0 ;
    for ( int i = 1 ;
    i < n ;
    i ++ ) {
      int rt = a [ i ] - b [ i - 1 ] ;
      int wt = ( b [ i ] - a [ i ] + 1 ) / 2 ;
      at = dt + rt + tm [ i ] ;
      if ( b [ i ] - at >= wt ) dt = b [ i ] ;
      else dt = at + wt ;
    }
    ans = a [ n ] - b [ n - 1 ] + dt + tm [ n ] ;
    System . out . println ( ans ) ;
  }
  sc . close ( ) ;
}

public static void main ( String [ ] args ) { Scanner sc = new Scanner ( System . in ) ; int t = sc . nextInt ( ) ; while ( t -- > 0 ) { int n = sc . nextInt ( ) ; int [ ] a = new int [ n + 1 ] ; int [ ] b = new int [ n + 1 ] ; int [ ] tm = new int [ n + 1 ] ; for ( int i = 1 ; i <= n ; i ++ ) { a [ i ] = sc . nextInt ( ) ; b [ i ] = sc . nextInt ( ) ; } for ( int i = 1 ; i <= n ; i ++ ) { tm [ i ] = sc . nextInt ( ) ; } int ans = 0 , at = 0 , dt = 0 ; for ( int i = 1 ; i < n ; i ++ ) { int rt = a [ i ] - b [ i - 1 ] ; int wt = ( b [ i ] - a [ i ] + 1 ) / 2 ; at = dt + rt + tm [ i ] ; if ( b [ i ] - at >= wt ) dt = b [ i ] ; else dt = at + wt ; } ans = a [ n ] - b [ n - 1 ] + dt + tm [ n ] ; System . out . println ( ans ) ; } sc . close ( ) ; }
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