Master Theorem
The Master Theorem is a formula that directly determines the asymptotic time complexity of divide-and-conquer recurrences of the form T(n) = aT(n/b) + f(n), without requiring the recurrence to be expanded and solved manually.
7 resources across 2 libraries
Glossary Terms(4)
Amortized Time Complexity
Amortized time complexity is the average time cost per operation over a worst-case sequence of operations, used to describe algorithms where occasional expensi…
Space Complexity
Space complexity is a measure, expressed in Big O notation, of how much memory an algorithm requires to run as a function of the size of its input.
Master Theorem
The Master Theorem is a formula that directly determines the asymptotic time complexity of divide-and-conquer recurrences of the form T(n) = aT(n/b) + f(n), wi…
Traveling Salesman Problem
The Traveling Salesman Problem (TSP) asks for the shortest possible route that visits a given set of cities exactly once each and returns to the starting city,…
Interview Questions(3)
What is the Divide and Conquer Strategy?
Divide and conquer is an algorithm design strategy that breaks a problem into smaller independent subproblems of the same type, solves each subproblem recursiv…
What is the Master Theorem?
The Master Theorem gives a direct formula for the time complexity of divide-and-conquer recurrences of the form T(n) = a·T(n/b) + f(n), by comparing f(n) again…
What is a Recurrence Relation in Algorithm Analysis?
A recurrence relation expresses the running time of a recursive algorithm as a function of its running time on smaller inputs, such as T(n) = 2T(n/2) + O(n) fo…