public static void main ( String str [ ] ) {
  Scanner sc = new Scanner ( System . in ) ;
  int t = sc . nextInt ( ) ;
  while ( t -- > 0 ) {
    int n = sc . nextInt ( ) ;
    int arr [ ] = new int [ n ] ;
    int dep [ ] = new int [ n ] ;
    for ( int i = 0 ;
    i < n ;
    i ++ ) {
      arr [ i ] = sc . nextInt ( ) ;
      dep [ i ] = sc . nextInt ( ) ;
    }
    int del [ ] = new int [ n ] ;
    for ( int i = 0 ;
    i < n ;
    i ++ ) {
      del [ i ] = sc . nextInt ( ) ;
    }
    int curr = arr [ 0 ] ;
    for ( int i = 0 ;
    i < n - 1 ;
    i ++ ) {
      int tem = ( int ) Math . ceil ( ( double ) ( dep [ i ] - arr [ i ] ) / 2 ) ;
      int ariv = curr + del [ i ] ;
      curr = arr [ i + 1 ] - dep [ i ] + Math . max ( ariv + tem , dep [ i ] ) ;
    }
    System . out . println ( curr + del [ n - 1 ] ) ;
  }
}

public static void main ( String str [ ] ) { Scanner sc = new Scanner ( System . in ) ; int t = sc . nextInt ( ) ; while ( t -- > 0 ) { int n = sc . nextInt ( ) ; int arr [ ] = new int [ n ] ; int dep [ ] = new int [ n ] ; for ( int i = 0 ; i < n ; i ++ ) { arr [ i ] = sc . nextInt ( ) ; dep [ i ] = sc . nextInt ( ) ; } int del [ ] = new int [ n ] ; for ( int i = 0 ; i < n ; i ++ ) { del [ i ] = sc . nextInt ( ) ; } int curr = arr [ 0 ] ; for ( int i = 0 ; i < n - 1 ; i ++ ) { int tem = ( int ) Math . ceil ( ( double ) ( dep [ i ] - arr [ i ] ) / 2 ) ; int ariv = curr + del [ i ] ; curr = arr [ i + 1 ] - dep [ i ] + Math . max ( ariv + tem , dep [ i ] ) ; } System . out . println ( curr + del [ n - 1 ] ) ; } }
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