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- Bus timetables specify to the second the exact arrival and departure time of each bus on each stop. You need to pay for the full fare of every bus you ride and different bus lines charge different fees , but they are flat fees (independent of distance travelled on the line) A travel plan is a sequence of stop-time pairs where stop is a location of a bus stop and time is when we arrive at that stop. The plan is feasible if for any two consecutive pairs (a, t) and (b, t′) in the plan there exists a bus that departs after t and arrives at b at exactly t′. That is, a travel plan does not allow us to walk between stops. Assuming that no two buses arrive at the same time at the same stop, a feasible plan uniquely identifies the bus lines that we need to take to realize the plan. The cost of the plan is the sum of the fares we need to pay. Your task is to design an efficient algorithm that given a departure time t, an arrival time t′, an origin stop a and a destination stop b, finds the…PLEASE USE PYTHONGiven a jungle matrix NxM:jungle = [ [1, 0, 0, 0], [1, 1, 0, 1], [0, 1, 0, 0], [1, 1, 1, 1,]]Where 0 means the block is dead end and 1 means the block can be used in the path fromsource to destination.Task:Starting at position (0, 0), the goal is to reach position (N-1, M-1).Your program needs to build and output the solution matrix – a 4x4 matrix with 1’s inpositions used to get from the starting position (0,0) to the ending position (N-1,M-1)with the following constraints:You can only move one space at a timeYou can only in two directions: forward and down.You can only pass thru spaces on the jungle matrix marked ‘1’If you cannot reach the ending position – print a message that you’re trapped in thejungleAlgorithm:If destination is reachedprint the solution matrixElseMark current cell in the solution matrixMove forward horizontally and recursively check if this leads to a solution If there is no solution, move down and recursively check if this leads to a solution If…Artificial Intelligence programming assignment Here is the goal state and four start states for the 8-puzzle. Goal: Easy: Medium: Hard: Worst: 1 2 3 5 6 7 1 3 4 8 6 2 2 8 1 2 8 1 8 4 4 3 4 6 3 4 8. 76 5 7 7 6 5 7 5 3 2 1 Implement the following search algorithms and test them on the start states and goal state shown above. Only A* needs to detect duplicate states and eliminate them from the remainder of the search. 1. A* search using the heuristic function f*(n) = g(n) + h*(n), where h*(n) is the number of tiles out of place (not counting the blank). 2. A* search using the Manhattan heuristic function. 3. Iterative deepening A* with the Manhattan heuristic function. 4. Depth-first Branch and Bound with the Manhattan heuristic function. When defining the successor function, it is helpful to define the actions in terms of the empty tile, that is, the four actions are moving the empty tile right, down, left, and up. Consider the actions in this order in your implementation. If your…
- The Knapsack Problem is a famous computer science problem that is defined as follows: imagine you are carrying a knapsack with capacity to hold a total of weight C. You are selecting among n items with values A={a_1, a_2, ... , a_n} and associated weights W={w_1, w_2, ... , w_n}. Here the weights and values are all positive (but not necessarily unique). You wish to maximize the total value of the items you select not exceeding the given weight capacity, i.e. maximize sum_{a in A} such that sum_{w in W} <= C. Please note that you can only select your items once. a) We can reformulate this as a 2D bottom-up dynamic programming problem as follows. Define T_{i,j} as the highest possible value sum considering items 1 through i and total weight capacity j (j <= C). What is the base case i.e. T_{0,j} for all j and T_{i,0} for all i?, and What is the loop statement?Sorting objects in the real world https://docs.oracle.com/javase/8/docs/api/java/util/LinkedList.html There are 5000 people living in the town. Every day they have new COVID-19 cases. When people show symptom, they go to the hospital and put themselves in the waiting list for testing. A new person is added at the end of the list. Due to the lack of testing kit, all in the list cannot be tested. Hospital has to sort them and select a few. Since the elderly is very weak to the COVID-19, every midnight the doctors sort the people in the list by their age to decide who is taking the test for the next day depending on the availability of testing kit. Input to the program has the form where the first line indicates how many days they will do the operation. For each day, the input starts with the day number, along with the following patient list where each element represents the name of patients and the age. The input ends with the number of available testing kits. The output display, at…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…
- The rook is a chess piece that may move any number of spaces either horizontally or vertically. Consider the “rooks problem” where we try to place 8 rooks on an 8x8 chess board in such a way that no pair attacks each other. a. How many different solutions are there to this?b. Suppose we place the rooks on the board one by one, and we care about the order in which we put them on the board. We still cannot place them in ways that attack each other. How many different full sequences of placing the rooks (ending in one of the solutions from a) are there?Correct answer will be upvoted else downvoted. Computer science. Positive integer x is called divisor of positive integer y, in case y is distinguishable by x without remaining portion. For instance, 1 is a divisor of 7 and 3 isn't divisor of 8. We gave you an integer d and requested that you track down the littlest positive integer a, to such an extent that a has no less than 4 divisors; contrast between any two divisors of an is essentially d. Input The primary line contains a solitary integer t (1≤t≤3000) — the number of experiments. The primary line of each experiment contains a solitary integer d (1≤d≤10000). Output For each experiment print one integer a — the response for this experiment.业 In the 8 queens problem, you are to place 8 queens on the chessboard in such a way that no two queens attack each other. That is, there are no two queens on the same row, column, or diagonal. The picture above shows a near solution--the top left and bottom right queens attack each other. We want to solve this problem using the techniques of symbolic Al. First, we need states. What would the best choice be for states? Each queen and its position x Michigan, Illinois, Indiana, etc. How many queens we have placed so far A board with the positions of all the queens that have been placed so far 00 What would the start state be? A single queen's position Crouched, with fingers on the starting line Placing the first queen x An empty board What would the goal state be? CA board with 8 queens placed Ball in the back of the net The positions of all 8 queens A board with 8 queens placed, none attacking each otherv What would the best choice for "edges" or "moves" be? Tiktok Moving a queen from…
- Write the sets A and B if A - B = {1, 5, 7, 8}, B – A ={2, 10}, and A N B = {{3, 6, 9Let U = {1,2,3,4,5,6,7,8,9,10}....Q2: Search a problem consists of four juice bottles A, B, C, and D (Sol, Moon, Costa, and Dad). They can be arranged in any order from left to right, except that bottle A can never be further to the right than bottle D. For example, ABCD, CBAD, and CADB is possible states of our world, whereas DCBA, CDAB, or BCDA can never occur. The world can be manipulated by the schema swap(x, y), which swaps the bottles in positions x and y. For example, swap (1, 2) turns state BCAD into CBAD. Assume that your world is in the state ADBC, but you would like it to be in state CBAD. Draw the search tree Solve the problem by greedy if the estimated value is the # of bottles in an incorrect position. Solve the problem by A* search if f'(n) = # of operations performed + (min # of moves of the bottles to be in its position. Propose 5 chromosomes as an initial population from the basics of the problem, and apply GAs if the fitness is the # of bottles in incorrect position * of infeasible solutions, use 1…