BMT 2022 General p20
Source:
September 28, 2023
number theory
Problem Statement
The game Boddle uses eight cards numbered , and , where . An integer D is announced, and players try to obtain two cards, which are not necessarily distinct, such that one of their differences (positive or negative) is congruent to modulo . For example, if , then the pair and would work because mod . Compute such that this task is always possible for all .