static void precompute ( int prefix [ ] , int suffix [ ] ) {
  boolean prime [ ] = new boolean [ MAX ] ;
  for ( int i = 0 ;
  i < MAX ;
  i ++ ) {
    prime [ i ] = true ;
  }
  for ( int i = 2 ;
  i * i < MAX ;
  i ++ ) {
    if ( prime [ i ] ) {
      for ( int j = i + i ;
      j < MAX ;
      j += i ) {
        prime [ j ] = false ;
      }
    }
  }
  prefix [ 1 ] = 1 ;
  suffix [ MAX - 1 ] = ( int ) 1e9 + 7 ;
  for ( int i = 2 ;
  i < MAX ;
  i ++ ) {
    if ( prime [ i ] ) {
      prefix [ i ] = i ;
    }
    else {
      prefix [ i ] = prefix [ i - 1 ] ;
    }
  }
  for ( int i = MAX - 2 ;
  i > 1 ;
  i -- ) {
    if ( prime [ i ] ) {
      suffix [ i ] = i ;
    }
    else {
      suffix [ i ] = suffix [ i + 1 ] ;
    }
  }
}

static void precompute ( int prefix [ ] , int suffix [ ] ) { boolean prime [ ] = new boolean [ MAX ] ; for ( int i = 0 ; i < MAX ; i ++ ) { prime [ i ] = true ; } for ( int i = 2 ; i * i < MAX ; i ++ ) { if ( prime [ i ] ) { for ( int j = i + i ; j < MAX ; j += i ) { prime [ j ] = false ; } } } prefix [ 1 ] = 1 ; suffix [ MAX - 1 ] = ( int ) 1e9 + 7 ; for ( int i = 2 ; i < MAX ; i ++ ) { if ( prime [ i ] ) { prefix [ i ] = i ; } else { prefix [ i ] = prefix [ i - 1 ] ; } } for ( int i = MAX - 2 ; i > 1 ; i -- ) { if ( prime [ i ] ) { suffix [ i ] = i ; } else { suffix [ i ] = suffix [ i + 1 ] ; } } }
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