MathDB
2020 BMT Team 25

Source:

January 9, 2022
combinatorics

Problem Statement

Submit an integer between 11 and 5050, inclusive. You will receive a score as follows: If some number is submitted exactly once: If EE is your number, AA is the closest number to EE which received exactly one submission, and MM is the largest unique submission, you will receive 25M(AEA)\frac{25}{M} (A - |E - A|) points, rounded to the nearest integer. If no number was submitted exactly once: If EE is your number, KK is the number of people who submitted EE, and MM is the number of people who submitted the most commonly submitted number, then you will receive 25(MK)M\frac{25(M-K)}{M} points, rounded to the nearest integer.