There are two pairs of RSA keys.using a pair of p and q. The chosen public component e1 and e2 are different prime numbers. p and q are large prime numbers Person 1: < n, e1 >, < n, d1 >, Person 2: < n, e2 >, < n, d2 > Find a  strategy that may help Person 2 recover person 1’s private ke

Let's revisit our first problem, where we want to set up a series of chess matches so we can rank six players in our class. As we did before, we will assume that everyone keeps their chess rating a private secret; however, when two players have a chess match, the person with the higher rating wins 100% of the time. But this time, we are only interested in identifying the BEST of these six players and the WORST of these six players. (We don't care about the relative ordering or ranking of the middle four players.) Your goal is to devise a comparison-based algorithm that is guaranteed to identify the player with the highest rating and the player with the lowest rating. Because you are very strong at Algorithm Design, you know how to do this in the most efficient way. Here are five statements. A. There exists an algorithm to solve this problem using 6 matches, but there does not exist an algorithm using only 5 matches. B. There exists an algorithm to solve this problem using 7 matches,…

Consider a soldier facing in a given direction (say north). Let us denote "left face" by ℓ,"right face" by r,"about face" by a, and"stand fast" by f. (The element f means "don't move from your present position." It does not mean "return to your original position.") Then we define H = {ℓ, r, a, f} and an operation  meaning "followed by." Thus, ℓ  ℓ = a means "left face" followed by "left face" and is the same as the single command "about face." Complete the following table.          ℓ r a f ℓ a       r         a         f

X-Kingdom has trapped n number of soldiers of their opponent. They want to execute them. They created a strategy so that the prisoners will kill each other and at the end one prisoner will be alive and eventually released. As part of the process, they assigned each trapped soldier a sequence number starting from 1 and ending at n.    If n = 5 and k = 2, then the safe position is 3. Firstly, the person at position 2 is killed, then person at position 4 is killed, then person at position 1 is killed. Finally, the person at position 5 is killed. So, the person at position 3 survives. If n = 7 and k = 3, then the safe position is 4. The people at positions 3, 6, 2, 7, 5, 1 are killed in order, and the person at position 4 survives.   Input:n and k Output:Print the list of prisoners in reverse order from n to 1Then reverse the list to print it in correct order from 1 to nDisplay the position number who will survive. You must have to use circular doubly linked list for your solution. You…