Big Oh notation describes the limiting behavior of a function \(f(n)\) when its argument approaches infinity. Let \(f,g\) be two functions on positive numbers. We write \(f = O(g)\) if there exists \(c>0\) such that \(f(n)\leq c \cdot g(n)\) for…

Big Oh notation describes the limiting behavior of a function \(f(n)\) when its argument approaches infinity. Let \(f,g\) be two functions on positive numbers. We write \(f = O(g)\) if there exists \(c>0\) such that \(f(n)\leq c \cdot g(n)\) for…

A permutation of a set is an arrangement of the elements in a particular order. For example, there are two permutations of {1,2}, namely {1,2} and {2,1}, and 6 permutations of {1,2,3}, namely {1,2,3}, {1,3,2}, {2,1,3}, {2,3,1}, {3,1,2}, and {3,2,1}.…

The problem is to rotate elements in an array in a circular way. For example, shifting the array {38, 27, 43, 3, 9, 82, 10} 3 positions to the left produces {3, 9, 82, 10, 38, 27, 43} Using a…