Q2. RSA Alice starts the RSA, with key generation. She selects p-19 but she is confused with the second choice. Should she choose 17 or 21 for q? Q2.1 The correct choice is q= Then, she calculates the parameters n and (n). Q2.2 The value of n is n= Q2.3 The value of (n) is (n) = Now, Alice has to choose a proper value for e. For some reason, she has to choose one of the following two candidate values: 11 or 15 Q2.4 The correct choice is e= Explain:
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- IN JAVA Alice and Bob are playing a board game with a deck of nine cards. For each digit between 1 to 9, there is one card with that digit on it. Alice and Bob each draw two cards after shuffling the cards, and see the digits on their own cards without revealing the digits to each other. Then Alice gives her two cards to Bob. Bob sees the digits on Alice’s cards and lays all the four cards on the table in increasing order by the digits. Cards are laid facing down. Bob tells Alice the positions of her two cards. The goal of Alice is to guess the digits on Bob’s two cards. Can Alice uniquely determine these two digits and guess them correctly? Input The input has two integers p,q (1≤p<q≤9) on the first line, giving the digits on Alice’s cards. The next line has a string containing two ‘A’s and two ‘B’s, giving the positions of Alice’s and Bob’s cards on the table. It is guaranteed that Bob correctly sorts the cards and gives the correct positions of Alice’s cards. Output If Alice can…Bob and Alice want to send each other secret messages that no one else will have access to. They have decided that they will use a locked box to hold the secret messages, and they will drop the box off in each other’s mailboxes. The problem is that if they use a combination lock, they will have to send the combination to the box and someone might intercept it. Here are the materials they have access to: A box that can be locked with a combination lock Two combination locks (the kinds that click shut that you might use on a school locker) Paper Pencil Describe a protocol Bob and Alice can set up to deliver these messages securely.You may use a software to do calculations but you have to write down the details. The correspondence of letters table: A B C D E F GH I J K L M 01 02 03 04 05 06 07 08 09 10 11 12 13 N O P Q 14 15 16 R S TU V W X Y Z space 17 18 19 20 21 22 23 24 25 26 00 6. Implement the RSA cryptosystem with a sofeware of your choice. (Specifica- tion: Find two probable primes p 3p/2. Submit the primes p and q. I will encode a message with a key e and return the encrypted message and the key e to you. Then you will be asked to decode the message.)
- Mastermind is a code-breaking game for two players. In the original real-world game, one player A selects 4 pegs out of 6 colors and puts them in a certain fixed order; multiples of colors are possible (for example, red-green red-green). His opponent B does not know the colors or order but has to find out the secret code. To do so, B makes a series of guesses, each evaluated by the first player. A guess consists of an ordered set of colors which B believes is the code. The first player A evaluates the guess and feeds back to B how many positions and colors are correct. A position is correct ("black") if the guess and the secret code have the same color. Additional colors are correct ("white"), if they are in the guess and the code, but not at the same location. For example1 2 3 4secret: red-green red greenguess: red blue green purpleresults in one correct position ("black = 1") for the red peg at position one and one additional correct color ("white=1") for the green peg in the guess.…Please complete the Cayley's Table. Kindly include the complete solution. Thank youQ2: A mercury thermometer having a time constant of 0.1 min is placed temperature bath at 100°F and allowed to come to equilibrium with the bath. At time t= 0, the temperature of the bath begins to vary sinusoidally about its average temperature of 100°F with an amplitude of 2°F If the frequency of oscillation is 10/π cycles/min, What is the phase lag? In terms of the symbols used T = 0.1 <0 120 f = 10 元 s=100 x(t) = 100+ 2 sin(wt)) يسيفر نظارت دقت السائل SLOW
- The Monty Hall game is a statistical problem: there is a TV show (like the Monty Hall show) that allows contestants to choose between three doors, A, B, and C. Behind one of these doors is a new car (the winning door), and behind the other two are goats (the losing doors). After the contestant makes a choice, the game show host shows a goat behind one of the doors NOT chosen. The contestant is then given a choice to either switch to the other, non-opened door, or stick with their original guess. The interesting part of this “game" is the statistics involved-a person has a 1/3 chance of originally picking a winning door. The other door chosen – actually has a 2/3 chance of being a winning door. Therefore, it is in the contestant's best interest to switch doors. that which is not revealed to have a goat but also was not originally You will create a program that simulates the Monty Hall game, where the computer plays the role of the host. The program must have no outputs, but 1) Ask the…Jack and Jill will play a game called Hotter, Colder. Jill chooses a number from 0 to 100, and Jack makes repeated attempts to guess it. For each guess, Jill will respond with: hotter - if the current guess is closer to her number than the previous guess is colder - if the current guess is farther to her number than the previous guess is same - if the current guess is as far (to her number) as the previous guess is For Jack’s first guess, since there is no previous guess yet, Jill will just answer same. Describe an algorithm or a systematic approach that Jack can follow to win the games faster (fewer guesses). Example: Jill chooses number 40. Note: Jack can guess any number from 0 to 100 at any point of the game. Jack guesses 100. Jill responds same (first guess) Jack guesses 60. Jill responds hotter (60 is closer to 40 than previous guess 100) Jack guesses 80. Jill responds colder (80 is farther from 40 than previous guess 60) Jack guesses…Implement the Gauss-Seidel Method. Iterate until the relative approcimate error is less than 0.00001. Start at x=0 for all values of x. Determine: 1. At the 6th iteration, what is x5? 2. At the 10th iteration, what is x1? 3. At the 8th iteration, what is x3?
- Consider numbers from 0 to 100. If the number being searched for is 99, then write each value of variables passed through find() that would occur while searching for the number. The first is (51,100). O (75,100) (88,100) (94,100) (97,100) (99,100) O (75,100) (88,100) (94,100) (97,100) (99,99) O (76,100) (89,100) (95,100) (99,100) (76,100) (89,100) (95,100) (98,100)Java Program Scenario: A high school has 1000 students and 1000 lockers, one locker for each student. On the first day of school, the principal plays the following game: She asks the first student to open all the lockers. She then asks the second student to close all the even-numbered lockers. The third student is asked to check every third locker. If it is open, the student closes it; if it is closed, the student opens it. The fourth student is asked to check every fourth locker. If it is open, the student closes it; if it is closed, the student opens it. The remaining students continue this game. In general, the nth student checks every nth locker. If the locker is open, the student closes it; if it is closed, the student opens it. After all the students have taken their turns, some of the lockers are open and some are closed. Write a program that prompts the user to enter the number of lockers in a school. After the game is over, the program outputs the number of lockers and the…A coin is flipped 8 times in a row (assume all outcomes are equally likely). For each of the following questions, you should write your answer as an expression. Do not give the final numeric value. For example, you should write C(4,2)/24 instead of 0.375. Q1.1 What is the probability that it lands on heads exactly four times?