public static void main ( String [ ] args ) {
  Scanner sc = new Scanner ( System . in ) ;
  int t = sc . nextInt ( ) ;
  while ( t -- > 0 ) {
    int c = 0 ;
    int x = sc . nextInt ( ) ;
    int y = sc . nextInt ( ) ;
    int m = ( int ) Math . max ( x , y ) ;
    int n = ( int ) Math . min ( x , y ) ;
    int d = 2 * ( n ) ;
    int md = 0 ;
    if ( m - n != 0 ) md = ( m - n ) * 2 - 1 ;
    System . out . println ( d + md ) ;
  }
}

public static void main ( String [ ] args ) { Scanner sc = new Scanner ( System . in ) ; int t = sc . nextInt ( ) ; while ( t -- > 0 ) { int c = 0 ; int x = sc . nextInt ( ) ; int y = sc . nextInt ( ) ; int m = ( int ) Math . max ( x , y ) ; int n = ( int ) Math . min ( x , y ) ; int d = 2 * ( n ) ; int md = 0 ; if ( m - n != 0 ) md = ( m - n ) * 2 - 1 ; System . out . println ( d + md ) ; } }
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