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Master Theorem Method
The Master Theorem is a formula that provides a shortcut to solve recurrence relations, specifically those that arise in recursive algorithms that divide a problem into smaller, equally sized subproblems. Instead of expanding and summing up each level of the recursion, the Master Theorem allows us to calculate the time complexity directly from the recurrence relation.
Applicable Problems for the Master Theorem
The Master Theorem is applicable to recurrence relations of the following form:
T(n) = a \cdot T\left(\frac{n}{b}\right) + f(n)
Where:
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