Statement

Rising Minds in Informatics (RMI) is a two-day competition aimed at discovering and nurturing young talents in the field of computer science and informatics. As a participant of RMI, you would like to estimate your final rank before the award ceremony. The overall scoreboard has not been released yet, but you have the scores of all contestants for each day separately, without knowing which score belongs to whom. You also know your own scores for both days. Your task is to determine: (1) [\bullet] Best possible place: The highest rank you could achieve based on the sum of scores, assuming the most favorable pairing of scores for you. (2) [\bullet] Worst possible place: The lowest rank you could achieve based on the sum of scores, assuming the least favorable pairing of scores for you. What are your best and worst possible ranks in the combined total score standings? Ties (draws) are allowed, meaning multiple contestants with the same total score will share the same rank...