33. The students of our class spent the first Sunday of the month in the Carpathians, and on the first Sunday after the first Saturday of this month, they went on an excursion to Kyiv. In the following month, on the first Sunday, they made an excursion to the forest, and on the first Sunday after the first Saturday, they visited a museum. On what date and in what month did the students go to the Carpathians, Kyiv, the forest, and the museum?
33. According to the problem, the first Sunday of the month and the first Sunday after the first Saturday do not coincide. This is possible only if the first Sunday of the month falls on the 1st, and the first Sunday after the first Saturday falls on the 8th. This means that both months started on a Sunday. Since the interval between the two Sundays at the beginning of the months is a whole number of weeks, the number of days in the first of these months is divisible by 7. This month can only be February. Therefore, the students were in the Carpathians on February 1, in Kyiv on February 8, on a forest excursion on March 1, and in the museum on March 8.