Analysis of Algorithms Study guides, Class notes & Summaries

True or False: n^2 + nlogn = O(nlogn)False True or False: n^3 = O(n)False True or False: n / logn = Omega (log n)True True or False: n + sqrt(n) = Theta(n*sqrt(n))False True or False: n^0.1 = Omega (log n)True

True/False: Is 2^(n+1) = O(2^n) ? - False 3^n + 12 - O(2^n) What is the Asymptotic complexity of a binary search given the code below and the following recursion equation: T(n) = T(n/2) + 1 // initially called with low = 0, high = N - 1 BinarySearch_Right(A[0..N-1], value, low, high) { // invariants: value >= A[i] for all i < low value < A[i] for all i > high if (high < low) return low mid = (low + high) / 2

Analysis of Algorithms test with complete solution

The CS70 midterm 1 for the fall 2015 semester was an important evaluation tool for students taking the course. It tested their understanding of the fundamental concepts of computer science and their problem-solving abilities. The exam covered a wide range of topics, including probability, counting, and algorithms.