# Rules

Individual competition will take place on August 27, 2015. It will start approximately at 9:00 a.m. and will last for five hours. The test will consist of four problems. The order of the problems will not depend on their difficulty; the first problem will be from algebra, the second from combinatorics, the third from geometry and the fourth from number theory.

Team competition will take place on August 28, 2015. It will start approximately at 9:00 a.m. and will last for five hours. The students from each team will work on solving problems together. The test will consist of eight problems. The order of the problems will not depend on their difficulty; the first two problems will be from algebra, third and fourth from combinatorics, fifth and sixth from geometry and the last two from number theory.

Each contestant will receive the problems in up to two languages. Each contestant may write solutions in language of his/her choice, provided that the leader or the deputy leader of his/her team can translate from that language. The solutions may only be written on the front side of the answer sheets provided by the organizers. Contestants may pose questions to the Jury during the first hour of the exam on both days.

The only instruments permitted in the competition will be writing and drawing instruments, such as rulers and compasses. In particular, books, papers, tables, calculators, computers and communication devices will not be allowed into the examination room.

Each problem in both competitions is worth 8 points. The marks will be agreed between the coordinators and the leader and deputy leader, according to the marking schemes. The coordination of the solutions of the host team will be organized in the presence of the leader of one of the other teams. In case of dispute, the final decision is on the Jury.

Approximately half of the contestants will receive one of the medals (gold, silver and bronze) for the individual competition. The numbers of gold, silver and bronze medals will be approximately in the ratio 1:2:3. The Jury will make the final decision on the number of medals taking into account the distribution of the points of contestants. The contestants with the same number of points will be equally treated. Also, each contestant not receiving a medal who has maximal score (8 points) on at least one problem will receive Honourable Mention.

The members of teams that win first, second and third place on the team competition will receive gold, silver and bronze medals, respectively. In case of a tie for the one of the first three positions, for teams with equal total number of points the following additional criteria will be applied: For each team, we sort the numbers of points on single problems in descending order; then we read it as an eight-digit integer. A team is better if the corresponding number is greater. If these numbers are equal, the teams will share the position. In case of a tie for the positions other than the first three, the tie will not be broken.