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- On an island, a group of people are living until a visitor arrives with an odd directive: everyone with blue eyes must leave the island as quickly as possible. Every evening, a flight will depart at 8:00. Everyone can see the colour of everyone else's eyes, but they are blind to their own (nor is anyone allowed to tell them). They also do not know the number of persons who have blue eyes, but they do know that at least one person has them. How long will it take the folks with blue eyes to leave?Flavius Josephus was a Jewish historian of the first century. Legend has it that hewas one of a group of 41 Jewish rebels who decided to kill themselves rather thansurrender to the Romans, who had them trapped. They decided to form a circle andto kill every third person until no one was left. Josephus, not wanting to die, calculated where he needed to stand so that he would be the last one aliveand thus would not have to die. Thus was born a class of problemsreferred to as the Josephus problem. These problems involve findingthe order of events when events in a list are not taken in order but,rather, they are taken every ith element in a cycle until none remains.For example, suppose that we have a list of seven elementsnumbered from 1 to 7:1 2 3 4 5 6 7If we were to remove every third element from the list, the first element to beremoved would be number 3, leaving the list1 2 4 5 6 7The next element to be removed would be number 6, leaving the list1 2 4 5 7 Demonstrates the use of an…Newton is a brilliant mathematician and solving triangles problems fascinates him. Today he is given a sequence of positive integers V1, V2, .., VN. You must choose three elements Vx, Vy, Vz (x, y, z is vertices) such that the triangle formed have these properties: |XY|= Vz, |XZ|=Vy, |YZ|=Vx and the angle |ZYXZ|= 0 satisfies cose2P/Q, where 0 should be maximum possible. Find any such triangle or determine that it does not exist. Develop a python code which prints the value of x, y, z in a single line and print "Invalid" if not possible. Test Case: 412 5872 Result: 321
- Deep in the forest of Hanoi there is a temple with three large pillars. At the beginning of time there were N golden disks placed on the Easternmost pillar. Each disk has a distinct radius. The disks were stacked from top to bottom in increasing order of radii. Note: the disks are too fragile to have a larger radi disk on top of a smaller one. Everyday since the beginning of time the monks of the temple have moved exactly one disk from a pillar to another. Since the disks are heavy and there are not that many monks, at most one disk is off a pillar at a time. Disks can only be removed from the top of a pillar. Rumor has it that when all the disks are on the Westernmost pilar the world is supposed to end. The monks are very logical and wish to stop moving disks around, so you can assume that they will make the sequence of moves that will end the world as fast as possible. Dr. Meade has 36 days in each of his months. Travis is sure time began on the first of some month. On which of the…A group of individuals are living on an island when a visitor arrives with an unusual order: all blue-eyed people must leave the island immediately. Every evening at 8:00 p.m., a flight will depart. Everyone can see everyone else's eye colour, but no one knows their own (nor is anyone allowed to tell them). Furthermore, they have no idea how many people have blue eyes, but they do know that at least one person has. How long will it take for the blue-eyed individuals to leave?On a chess board of r rows and c columns there is a lone white rook surrounded by a group of opponent's black knights. Each knight attacks 8 squares as in a typical chess game, which are shown in the figure - the knight on the red square attacks the 8 squares with a red dot. The rook can move horizontally and vertically by any number of squares. The rook can safely pass through an empty square that is attacked by a knight, but it must move to a square that is not attacked by any knight. The rook cannot jump over a knight while moving. If the rook moves to a square that contains a knight, it may capture it and remove it from the board. The black knights. never move. Can the rook eventually safely move to the designated target square? The figure illustrates how the white rook can move to the blue target square at the top-right corner in the first sample case. The rook captures one black knight at the bottom-right of the board on its way. Rok nd kight lcoes by Chunen Input The first line…
- Correct answer will be upvoted else downvoted. Computer science. You and your companions live in n houses. Each house is situated on a 2D plane, in a point with integer organizes. There may be various houses situated in a similar point. The chairman of the city is requesting you for places for the structure from the Eastern show. You need to track down the number of spots (focuses with integer arranges), so the outline distance from every one of the houses to the show is insignificant. The display can be inherent a similar point as some house. The distance between two focuses (x1,y1) and (x2,y2) is |x1−x2|+|y1−y2|, where |x| is the outright worth of x. Input First line contains a solitary integer t (1≤t≤1000) — the number of experiments. The principal line of each experiment contains a solitary integer n (1≤n≤1000). Next n lines portray the places of the houses (xi,yi) (0≤xi,yi≤109). It's reliable that the amount of everything n doesn't surpass 1000. Output For…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)…You are the chief commander of US Army; you have been deployed in an ongoing war training of defusing the mine. Mines are placed on the ground which can be considered as a gird of size N*M. Each block (i, j) has a mine in it if and only if the summation of the block coordinates is divisible by 2. Your task is to move from the first row to the last row. The mines will not blow if the given rules are followed: • If you are on even row you can move to any cell that is in the neighborhood • If you are on odd row, you can only go the odd row that has mine on that and same with the unmined row. You have to develop a python program to calculate the number of ways to reach row number N starting from row number 1. Test Cases: 4 8 Output: 10
- During the Jewish-Roman battle, the first century Jewish historian Flavius Josephus was taken together with a band of 40 countrymen by Roman troops, according to mythology. The captive troops concluded that death was preferable than capture and created a plot for their destruction. They were supposed to create a circle and murder every third soldier until all of them were dead. Joseph and one other decided they didn't want to be a part of this and rapidly calculated where they needed to be in the circle to ensure their survival. Create a software that allows you to circle n persons and indicate that every m people would be murdered. The number of the last person left in the circle should be determined by the software.Use a circularly linked list to solve the problemTo reduce traffic congestion in downtown Winburg, Indiana, the mayor convinces the city toset up a public transportation system. Bus-only lanes are to be established, and commuterswill be encouraged to “park and ride”; that is, to park their cars in suburban parking lots andthen take buses from there to work and back at cost of one dollar per ride. Each bus is tohave a fare machine that accepts only one dollar bills. Passengers insert a bill into the slotsas they enter the bus. Sensors inside the fare machine scan the bill, and the software in themachine uses an image recognition algorithm to decide whether the passenger has indeedinserted a valid dollar bill into the slot. It is important that the fare machine be accuratebecause, once the news gets out that any piece of paper will do the trick, fare income willplummet to effectively zero. Conversely, if the machine regularly rejects valid dollar bills,passengers will be reluctant to use the buses. In addition, the fare machine must be…PLEASE CODE IN PYTHON Problem Description:In order to ensure peace and prosperity for future generations, the United Nations is creating the world’s largest candy. The ingredients must be taken in railway cars from the top of a mountain and poured into Lake Geneva. The railway system goes steeply from the mountaintop down to the lake, with a T-shaped branch in the middle as shown below. Right now, each of the N ingredients is in its own railway car. Each railway car is assigned a positive integer from 1 to N. The ingredients must be poured into the lake in the order 1, 2, 3, . . . , N but the railway cars are lined up in some random order. The difficulty is that, because of the especially heavy gravity today, you can only move cars downhill to the lake, or sideways on the branch line. Is it still possible to pour the ingredients into the lake in the order 1, 2, 3, . . . , N ? For example, if the cars were in the order 2, 3, 1, 4, we can slide these into the lake in order as described…