CMIMC 2017

The 2017 Carnegie Mellon Informatics and Mathematics Competition (CMIMC) is the 2nd annual math competition held at Carnegie Mellon University. The competition took place on January 28, 2017, at 5000 Forbes Avenue, Pittsburgh, PA, 15213 (Carnegie Mellon University).

Registration Rules

 * The competition is open only to high school students.
 * Competitors do not have to be from the United States.
 * Competitors register on teams consisting of up to six individuals. Teams must be accompanied by at least one adult coach.
 * "Minor competitors" will need a parent/guardian to sign and submit and competitions permission and liability waiver.
 * Teams do not have to be regional, however "team stacking" is highly discouraged and will lead to disqualification.
 * The registration fee is $15 per competitor, paid online. The late registration is $8 per competitor.

General

 * No calculators or other electronic devices are allowed during a round.
 * Communications between different teams is forbidden during rounds.
 * Clarification will not be given on questions during rounds.
 * Problems may be disputed or challenged by writing a protest to CMIMC Staff. This must be done during lunch.

Power Round
For a list of past power round topics, please visit this page.
 * The power round consists of a number of proof-based problems to be solved in 60 minutes. All the problems are related to the same interesting topic.
 * Partial solutions will be awarded partial credit. The number of points each problem is proportional to the difficulty of the problem.
 * The power round is worth about 30% of the overall team score.

Team Round
For more information, please visit this page.
 * The team round consists of ten short-answer problems to be solved in 30 minutes.
 * Team members are allowed to collaborate with each other during this round.
 * The team round is worth about 20% of the overall team score.
 * If a team does not take the team round, it is treated as if they received a score of 0 for scoring purposes.

Individual Rounds
For more information on general individual round rules, please visit this page. For more information on a specific individual test, please find the test on this page.
 * Each individual round consists of ten-short answer questions to be solved in 60 minutes.
 * Each competitor takes two different individual rounds out of the five available: algebra, combinatorics, geometry, number theory, and computer science.
 * The individual score consists about 50% of the overall team score.
 * A team with fewer than six members will be treated as if extra members received a total score of 0.

Finals
For more information, please visit this page.
 * Each individual takes one final round for each subject representing the subject in which they qualified.
 * Each final round consists of three-short answer problems to be solved in 20 minutes or less.
 * Competitors can submit at any time, but they only submit once. Ties will be broken based off of the number of problems solved, then by submission time.

Conventions

 * Answers to problems do not have to be integers. For more information about acceptable answer submissions, please visit this page.
 * Diagrams do not have to be drawn to scale.
 * The vertices of a polygon appear in the order by which it is named. So, for example, heptagon ABCDEFG has vertices appearing in that order.

Awards

 * Awards are given to the top ten scoring individuals from each subject, and the top five scoring teams for the power round, team round, and overall.

Competition Schedule
All of these events took place on January 28, 2017, the date of the competition.

Problems
Problems and Solutions

Trivia

 * Interestingly, while the individual test answers are not necessarily integers, the answers to the team round are integers.