Which European country had the most universities at the end of the 13th century, and which at the end of the 15th century?

In the 13th century, France and Italy had the largest number of universities. By the beginning of the 16th century, Germany had overtaken all other countries in terms of the number of universities, since every independent prince (and there were dozens of them in Germany) wanted to have a university in his domain – it was fashionable.