Blue-Eyed Island: A bunch of people are living on an island, when a visitor comes with a strange order: all blue-eyed people must leave the island as soon as possible. There will be a flight out at 8:00pm every evening. Each person can see everyone else's eye color, but they do not know their own (nor is anyone allowed to tell them). Additionally, they do not know how many people have blue eyes, although they do know that at least one person does. How many days will it take the blue-eyed people to leave?
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Blue-Eyed Island: A bunch of people are living on an island, when a visitor comes with a strange
order: all blue-eyed people must leave the island as soon as possible. There will be a flight out at
8:00pm every evening. Each person can see everyone else's eye color, but they do not know their
own (nor is anyone allowed to tell them). Additionally, they do not know how many people have
blue eyes, although they do know that at least one person does. How many days will it take the
blue-eyed people to leave?
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- Description: There are 5 philosophers sitting around a table and try to eat from the center of the table. 5 chopsticks also lay on the table. Let us call the 5 philosophers in clockwise P1, P2, ...P5. There also 5 chopsticks clockwise S1, S2, ..., S5 on the table. There are only one chopstick between every two philosophers. Every right hand chopstick will have the same index as the philosopher. For example, on the right hand side of P1, the chopstick is called S1. And every left hand side chopstick number is 1+number of the philosopher. A philosopher spend random time to think, then he feel hungry and try to eat. The middle dish can provide enough food for everyone at the same time. But a philosopher only can start to eat when he picked up two chopsticks from left hand side and right hand side to form a pair of chopsticks. If a philosopher take one chopsticks, he will try to fight with neighbours to get another one, and never back off to put down the one in his hand. Once the…In a classroom election, two presidential candidates, namely, Lisa and Teddy, both garnered the same number of total votes. As such, they decided to play a custom dice game to determine the winner of the election. In this game, a player needs to roll a pair of dice. Teddy will win the game if the sum is odd whereas Lisa will be declared winner if the sum results to even. However, prior to the start of the game, Teddy complained that the custom dice game is biased because according to him, the probability of an even result is 6/11, and for odd - only 5/11. Verify Teddy's claim and evaluate the fairness of the game. CLEAR SOLUTIONIn a classroom election, two presidential candidates, namely, Lisa and Teddy, both garnered the same number of total votes. As such, they decided to play a custom dice game to determine the winner of the election. In this game, a player needs to roll a pair of dice. Teddy will win the game if the sum is odd whereas Lisa will be declared winner if the sum results to even. However, prior to the start of the game, Teddy complained that the custom dice game is biased because according to him, the probability of an even result is 6/11, and for odd - only 5/11. Verify Teddy's claim and evaluate the fairness of the game. A. The game is fair. B. The game is unfair to Lisa. C. The game is unfair to Teddy. D. More information is needed. complete solution
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- Please look at attached photos. It needs to pass all of the simulations. Thanks in advance Cryptography is the practice of encryption. Information Security uses cryptography techniques to encrypt and decrypt data. A simple encryption method might take plaintext and mix up the letters using some predetermined pattern and then use that pattern to decrypt the data for reading. Ciphers are the algorithms used to put the data into its secret pattern and then systematically decrypt it for reading. This script is going to use a famous simple cipher called the Caesar Cipher. It is a substitution cipher where each letter in the text is 'shifted' in a certain number of places. It uses the alphabet as the primary pattern and then based on the shift number, it would shift all the letters and replace the alphabet with our pattern. For example, if our shift number was 3, then A would be replaced with D, if we performed a right shift. As an example: Text = "THE CAT IS VISIBLE AT MIDNIGHT" Ciphertext…There are three (3) poles with blocks of two different colours. The colours are labelled as A and B. There are three (3) blocks for each colour, which make up to a total of six (6) blocks. A block has to always be on a pole. When removing a block from a pole, the top block will be removed first. After the removal, the block must be placed onto another pole and become the top block of the new pole. Each pole can only hold three (3) blocks maximum. The initial arrangement of the pole and blocks are shown in Figure 2. A B A A B B Figure 2: Initial arrangement of blocks on poles You are tasked to find the solution to place the blocks with the same colour onto the same pole with the least number of movement. a) Describe the differences between breadth-first search and uniform- cost search and determine which of them is more suitable to accom- plish the task. State the reason of the selection. b) Using the search algorithm that has been selected in (a) to find the solution. Specify the…Assignment As an initiation into the study of ethics, carefully read each of the following scenarios. After reflection, come up with your own answer to each of the questions. Scenario 1 Alexis, a gifted high school student, wants to become a doctor. Because she comes from a poor family, she will need a scholarship in order to attend college. Some of her classes require students to do extra research projects in order to get an A. Her high school has a few older PCs, but there are always long lines of students waiting to use them during the school day. After school, she usually works at a part-time job to help support her family. One evening Alexis visits the library of a private college a few miles from her family's apartment, and she finds plenty of unused PCs connected to the Internet. She surreptitiously looks over the shoulder of another student to learn a valid login/password combination. Alexis returns to the library several times a week, and by using its PCs and printers she…
- The annual snake festival is upon us and all the snakes of the kingdom have gathered to participate in the parade. The chef was tasked with reporting on the parade, so he decided to watch all the snakes first. When he sees the snake first, it will be his head, so he marks the "H". Snakes are long, and when they see the snake finally scurry away, they mark its tail with a "T". In the interim, when the snake is moving around it, or in the time between one snake and the next snake, it marks a '.'. Since the snakes come in a procession and one by one, a valid message would be something like "..H..T...HTH....T.", or "...", or "HT", while "T ...H..H.T", "H..T..H", "H..H..T..T" would be invalid messages (see explanation below). Formally, a snake is represented by an 'H' followed by some (possibly null) '.' and then 'T'. A valid message is one that begins with the (probably zero-length) string '.' and then some (possibly zero) snakes, with some '.'s in between, and finally some (possibly zero)…Simulation parameters: • Define a step size h. Try something small like 0.001 seconds. • Define a length for the simulation-perhaps 10 seconds for now, but feel free to adjust it as you see fit. • Create a list of times that begins at 0 and goes up to the simulation length in steps of h. The actual simulation only cares about the step size, so we won't use this in the simulation but we'll use it for plotting at the end. • Calculate the length of the list created in the previous step and assign it to a variable n. Data arrays: • Create a list r of length n that is all zeros (np.zeros could come in handy here). • Create a list s of length n that is all zeros. Initial conditions: • Set the first entry of r to be some initial height of your choosing. • Set the first entry of s to be some initial velocity of your choosing. First-order equations: • We need to define a function that calculates the derivative of r. Since Eq. 2.14 says that r' s, this is fairlv simply. We iust have to return c…Chiralitydef is_left_handed(pips): Even though this has no effect on fairness, pips from one to six are not painted on dice any which way, but so that the pips on the opposite faces always add up to seven. (This convention makes it easier to tell when someone tries to use gaffed dice that leave out some spot values.) In each corner of the cube, one value from each pair of opposites 1-6, 2-5 and 3-4 meets two values from the other two pairs of opposites. The math works out correctly in for the 23 = 8 corners of the cube. This still leaves two possibilities how to paint these pips. Look at the corner shared by the faces 1, 2, and 3, and read these numbers clockwise around that corner starting from 1. If these three numbers read out as 1-2-3, that die is left-handed, and if they read out as 1-3-2, that die is right-handed. Analogous to a pair of shoes made separately for the left and right foot, left- and right-handed dice are in one sense identical, yet no matter how you twist and turn,…