Problem F: Factoring Large Numbers One of the central ideas behind much cryptography is that factoringlarge numbers is computationally intensive. In this context one mightuse a 100 digit number that was a product of two 50 digit primenumbers. Even wi…
Just the Facts The expression N!, read as `` N factorial," denotes the product of the first N positive integers, where N is nonnegative. So, for example, N N! 0 1 1 1 2 2 3 6 4 24 5 120 10 3628800 For this problem, you are to write a program that c…
Uniform Generator Computer simulations often require random numbers. One way to generatepseudo-random numbers is via a function of the form where `` " is the modulus operator. Such a function will generate pseudo-random numbers (seed) between 0 and…
Train Swapping At an old railway station, you may still encounter one of the lastremaining ``train swappers''. A train swapper is an employee ofthe railroad, whose sole job it is to rearrange thecarriages of trains. Once the carriages are arranged…
Bandwidth Given a graph (V,E) where V is a set of nodes and E is a set of arcsin VxV, and anordering on the elements in V, then the bandwidth of a node v is defined as the maximum distance in theordering between v and any node to which it is connec…
:W Problem A: Football (aka Soccer) The Problem Football the most popular sport in the world (americans insist to call it "Soccer",but we will call it "Football"). As everyone knows, Brasil is the country that have mostWorld Cup title…
06-图2 Saving James Bond - Easy Version(25 分) This time let us consider the situation in the movie "Live and Let Die" in which James Bond, the world's most famous spy, was captured by a group of drug dealers. He was sent to a small piece of land…
Cube painting We have a machine for painting cubes. It is supplied withthree different colors: blue,red and green. Each face of the cube gets oneof these colors. The cube's faces arenumbered as in Figure 1. Figure 1. Since a cube has 6 faces, our m…
