a hotel has 13 rooms
Source: 1998 Estonia National Olympiad Final Round grade 10 p3
November 4, 2020
combinatorics
Problem Statement
The hotel has rooms with rooms from to , located on one side of a straight corridor in ascending order of numbers. During the tourist season, which lasts from May st to October st, the hotel visitor has the opportunity to rent either one room for two days in a row, or two adjacent rooms together for one day. How much could a hotel owner earn in a season if it is known that on October , rooms and were empty, and the payment for one room was one tugrik per day?