Software Engineer

Given an array "prices". In "prices" the ith element is the price of the stock on the ith day. Your task is to find maximum profit at the end of the ith day. You may complete at max 2 transactions.

You can perform a transition with these conditions -

1. Not allowed to engage in more than 1 transaction at a time, which means if you have bought stock then you can buy another stock before selling the first stock.

2. If you bought a stock at ‘X’ price and sold it at ‘Y’ price then the profits ‘Y - X’.

Note:

It is not compulsory to perform an exact '2' transaction.

Given a chain of matrices A1, A2, A3,.....An. Your task is to find out the minimum cost to multiply these matrices. The cost of matrix multiplication is defined as the number of scalar multiplications. A Chain of matrices A1, A2, A3,.....An is represented by a sequence of numbers in an array ‘arr’ where the dimension of 1st matrix is equal to arr[0] * arr[1] , 2nd matrix is arr[1] * arr[2], and so on.

For example:

For arr[ ] = { 10, 20, 30, 40}, matrix A1 = [10 * 20], A2 = [20 * 30], A3 = [30 * 40]

Scalar multiplication of matrix with dimension 10 * 20 is equal to 200.

You are given an unweighted directed graph having 'V' vertices and 'E' edges. Your task is to count the number of strongly connected components (SCCs) present in the graph.

A directed graph is said to be strongly connected if every vertex is reachable from every other vertex. The strongly connected components of a graph are the subgraphs which are themselves strongly connected.

Note :

Use zero-based indexing for the vertices.

The given graph doesn’t contain any self-loops.