Madam Mushnik was getting ready for the four-day Solvitude Festival in a land far, far away. The four best students were to be rewarded for their superb puzzle-solving skills.

The total prize pot consisted of 16 coins. The first coin was worth 1 groan, the second was worth 2 groans, and so on. The coins were to be distributed according to the Solvitude rules:

1. Each student receives one coin on each day of the festival.
2. The total value, in groans, of the coins distributed each day is the same.
3. The total value, in groans, of the coins received by each student over the four days is the same.

Can you find a way that Madam Mushnik could distribute the coins so that all three rules are obeyed?