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This question pertains to the recurrence equation T(n) = 125T(n/5) + 5n with base case T(1) = 1. [a] Use the Master Theorem to predict
This question pertains to the recurrence equation T(n) = 125T(n/5) + 5n with base case T(1) = 1.
[a] Use the Master Theorem to predict the complexity class of the solution.
[b] Derive a closed-form formula for the recurrence. Identify each technique used in the process.
[c] Test the original recurrence against your closed-form formula for the case n=5 to see if they match.
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