A worker is to work for you for seven days. Every day, you must pay him \(\frac 17\) of a gold bar at the end of the day. You must pay the worker \(\frac 17\) every day, without skipping any days. He cannot have more gold than he has to have the end of a day. However, the worker is saving up for a new house so he will not spend the gold bars (therefore, he can return them).

What is the minimum number of cuts needed so that you can pay the worker so that he has the amount of gold he needs at the end of each day?

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