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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.
In computability theory, an undecidable problem is a decision problem for which an effective method (algorithm) to derive the correct answer does not exist. More formally, an undecidable problem is a problem whose language is not a recursive set ; see the article Decidable language .
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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First, it can be false in practice. A theoretical polynomial algorithm may have extremely large constant factors or exponents, rendering it impractical. For example, the problem of deciding whether a graph G contains H as a minor, where H is fixed, can be solved in a running time of O(n 2), [25] where n is the number of vertices in G.
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