Sofya Aleksandrovna Yanovskaya, Russian mathematician of Jewish origin of the 20th century, specialist in logic, posed different problems to her students so that they would solve them with perseverance and so that they would continually ask themselves: ‘What am I doing? Where am I going with this ?’ 

We propose you to solve the following mathematical logic problem.

Sofya Aleksandrovna Yanovskaya asked for change for €2 in a shop. The shopkeeper, after looking at the till, replied that she was sorry, but she couldn't give it to her with the coins she had. Later, Sofya asked her for change for one euro and the shopkeeper answered again that it was impossible for her. In addition, she told her that she could not give her change for 50, or 20, or 10, or 5, or 2 cents. Sofya asked her if what was happening was that she had no coins in the box. The shopkeeper answered nodded and said that, in total, she had 1 euro and 88 cents. What coins does the shopkeeper have?