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The competition is three hours long. There are five questions on the CMO, each worth seven marks, for a total of 35 points. Each problem is graded the same way as it is on the IMO. From 1969 to 1972, the CMO was ten questions long. In the 1970s, the exam length changed a number of times before finally stabilizing to five questions in 1979.
Two papers are set, each with 3 problems. The examination is held on two consecutive mornings, and contestants have 4 hours and 30 minutes each day to work on the 3 problems. The Chinese Mathematical Olympiad is graded in 3-point increments, so that each problem is worth 21 points, making the total score 126, triple that of the IMO. [4]
Students who perform well on the CMO are selected for Math Team Canada, which represents Canada at the International Math Olympiad (IMO) the following summer. Approximately the top 50 COMC students are invited to write the CMO. The next approximately 75 COMC students are invited to write the CMO Qualifying Repêchage.
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This was an open problem until 2007, when an efficient algorithm based on dynamic programming was published. [14] The minimum number of knife changes problem (for the one-dimensional problem): this is concerned with sequencing and permuting the patterns so as to minimise the number of times the slitting knives have to be moved.
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