You are given a list of stock prices where each element represents the stock price on a specific day. The stock prices are given as pairs where the first element is the day number and the second element is the stock price for that day. A line chart can be drawn by plotting these prices on an XY-plane, where the X-axis represents the day and the Y-axis represents the price. Your task is to determine the minimum number of lines required to represent the stock prices as a continuous line chart.
You are given a circle, and you need to divide it into ’n’ equal slices using the minimum number of straight cuts. A valid cut can either be through the center of the circle touching two points on the edge or touching just one point and the center.