Gold rings of 1 to 31 grams puzzle

A king asks a learned man to visit his palace, to which the learned man responds:
�I will come some day next month, but I will not tell you on which day.
Further, you must give me gold in grams equal to the date on which I come.�

In preparation for the visit, the king demands that his jeweler make gold rings of 1 to 31 grams.

The wise jeweler made only 5 rings. What are their weights?


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