How does the divide and conquer strategy result in an, Basic Computer Science

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How does the divide and conquer strategy result in an

1. Which two basic properties of the DFT lead to efficient FFT algorithms?

2. How does the "divide and conquer" strategy result in an efficient computation of the DFT?

3. Which two basic strategies are used in the development of classic FFT algorithms?

4. Explain the decimation-in-time FFT algorithm using the matrix interpretation.

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