Mathematical Zanzibar is a team competition. Each team has 6 or fewer players (in case of exclusion, the team may consist of more participants). Before starting zanzibar, teams are given at once all the tasks (from 10 to 30), which they solve within 2 hours. The jury only checks the answer. If it is true, it is considered that the command solved this problem correctly, if the answer is not correct or complete, then the task is counted as unsealed.
At the beginning of Zanzibar, each task is rated at 20 (30) points. Further accrual of points for tasks and the cost of the task are assessed as follows. If the team is the first to solve, for example, task No. 5, then it receives 20 points for it and the cost of the problem becomes 19. If another team solved it correctly, then for it 19 points receives not only she, but also instead of 20, is set 19 points to the team that unleashed it earlier. If another team solved it correctly, then all three teams will receive a task of 17 points. If some team incorrectly solved this problem, then it gets 0 points for it, and all the teams that solved it by 1 point more. Thus, upon completion of the zanzibar, the price of each task is calculated by the formula: . The team gains the appropriate amount for each correctly solved task.
If only 1 team solved a problem correctly, then the cost of this task at the end of the zanzibar is doubled for it. This should encourage teams to try to solve the most difficult tasks correctly.
The course of the game will look more interesting if all teams play in the same large audience, and the current result is highlighted through a projector on the screen.