Gold Bars 2
Your worker was very diligent, so you decided to reward him by offering him another month of work [31 days] and to pay him a huge gold bar, but only getting 1/31 of it a day. You are alone in your room with a butcher knife, trying to cut the gold bar so that you can pay the worker enough every day. You cannot pay him advance, for fear that he may cheat you, and you cannot not pay him his daily 1/31, as you have a great reputation in the community.
What is the least number of cuts you need to pay your worker every day? Remember, he is willing to return you some gold bars.