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Q: Need for algorithm

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Do you mean "Why might a parallel line algorithm be needed?" or "What properties does a parallel line algorithm need to have?".

direct mapping doesn't need replacement algorithm

That depends on what the problem is that has to be solved.

Such an algorithm is called a 'God algorithm', from the fact that it would only be known by god/the gods. Although many have tried to find it, none have so far discovered it (assuming it exists). To solve a cube by algorithm, you need to know the appropriate algorithm to apply and when in the stages of solving; different sets can use large numbers of algorithm.

It depends on which algorithm. First of all you need to write is so called pseudo code after that transform into c code.

if u want to work any program then the first step is perform step by step analysis so that algorithm is needed

algorithm pseudocode (a+b)-2?

FT is needed for spectrum analysis, FFT is fast FT meaning it is used to obtain spectrum of a signal quickly, the FFT algorithm inherently is fast algorithm than the conventional FT algorithm

Whatever data you need. If you need the algorithm to operate with many different types of data, and you are programming in C++, you could use generic programming practices and use templates.

They are different because standard algorithm is more common then the expanded algorithm

what is the criteria for algorithm

What is the criteria for algorithm?

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