require 'pp'

K,A,B = readline.chomp.split.map(&:to_i)

if B-A <= 2
  puts 1+K
else
  if K < A-1
    puts 1+K
  else
    k = K - (A-1)
    sum = A + (B-A) * (k/2)
    if k % 2 == 1
      sum += 1
    end
    puts sum
  end
end

