public static void main ( String args [ ] ) {
  Scanner sc = new Scanner ( System . in ) ;
  int tc = sc . nextInt ( ) ;
  while ( tc -- > 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 prev = 0 ;
    int ans = 0 ;
    for ( int i = 1 ;
    i <= n ;
    i ++ ) {
      prev += a [ i ] - b [ i - 1 ] + tm [ i ] ;
      ans = prev ;
      prev += Math . ceil ( 1.0 * ( b [ i ] * 1.0 - a [ i ] * 1.0 ) / 2.0 ) ;
      prev = Math . max ( prev , b [ i ] ) ;
    }
    System . out . println ( ans ) ;
  }
}

public static void main ( String args [ ] ) { Scanner sc = new Scanner ( System . in ) ; int tc = sc . nextInt ( ) ; while ( tc -- > 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 prev = 0 ; int ans = 0 ; for ( int i = 1 ; i <= n ; i ++ ) { prev += a [ i ] - b [ i - 1 ] + tm [ i ] ; ans = prev ; prev += Math . ceil ( 1.0 * ( b [ i ] * 1.0 - a [ i ] * 1.0 ) / 2.0 ) ; prev = Math . max ( prev , b [ i ] ) ; } System . out . println ( ans ) ; } }
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