To calculate the tenth Fibonacci number, you should really only need to calculate the preceding Fibonacci numbers, but this implementation somehow needs a whopping 177 calculations. It gets worse quickly: 21891 calculations are needed for fibonacci(20) and almost 2.7 million calculations for the 30th number. This is because the code keeps recalculating Fibonacci numbers that are already known.

No specific qualifications are required to work as a painter & decorator. However, in seeking employment, a certain amount of on-site experience is usually required. This could include experience in building or construction, which would provide a foundation of the skills required to do the job effectively. A complete beginner could use an apprenticeship as a way of getting initial experience in the field. To apply for an apprenticeship, applicants would usually need GCSEs in Maths, English and Technology as a basic entry point. The apprenticeships website is a good source of information. Specific courses also exist both to provide initial experience, and to accompany the learning experience of a trainee who is already working for a company. These include:
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