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- Consider the version of the dining-philosophers problem in which the chopsticks are placed at the center of the table and any four of them can be used by a philosopher. In other words, a philosopher needs four chopsticks to eat. Assume that requests for chopsticks are made one at a time. Assuming that there are m=4k chopsticks and n=6k philosophers around the table, (i) How many maximum philosophers can eat simultaneously? (ii) Describe a simple rule for determining whether a particular request can be satisfied without causing deadlock given the current allocation of chopsticks to philosophers. (Hint: Use rules similar to the Banker’s algorithm.)Correct answer will be upvoted else downvoted. Let C={c1,c2,… ,cm} (c1<c2<… <cm) be the arrangement of individuals who hold cardboards of 'C'. Let P={p1,p2,… ,pk} (p1<p2<… <pk) be the arrangement of individuals who hold cardboards of 'P'. The photograph is acceptable if and provided that it fulfills the accompanying requirements: C∪P={1,2,… ,n} C∩P=∅. ci−ci−1≤ci+1−ci(1<i<m). pi−pi−1≥pi+1−pi(1<i<k). Given a cluster a1,… ,an, kindly track down the number of good photographs fulfilling the accompanying condition: ∑x∈Cax<∑y∈Pay. The appropriate response can be huge, so output it modulo 998244353. Two photographs are unique if and provided that there exists no less than one individual who holds a cardboard of 'C' in one photograph yet holds a cardboard of 'P' in the other. Input Each test contains numerous experiments. The main line contains the number of experiments t (1≤t≤200000). Depiction of the experiments follows. The…Please don't use handwritting for this question How would you modify the dynamic programming algorithm for the coin collecting problem if some cells on the board are inaccessible for the robot? Apply your algorithm to the board below, where the inaccessible cells are shown by X’s. How many optimal paths are there for this board? You need to provide 1) a modified recurrence relation, 2) a pseudo code description of the algorithm, and 3) a table that stores solutions to the subproblems.
- Suppose you want to solve the following equality 2a + b + 3c + 4d + 6e = 45 What is the chromosome phenotype? What is the fitness function? What is the fitness value of a, b, c, d, e = (The first five numbers of university ID)? (hint if ID= 437818854 then a=1, b=8, c=8, d=5, e=4)Question 15 pap In class we considered the computational complexity of global localization as a hypothesis elimination problem in an idealized setting. What is this problem (briefly), how difficult is it to get an optimal solution (i.e. do you know the complexity?), and what kind of heuristic can be used to achieve a solution?Consider printing neatly the silly text "This week has seven days in it ok" in a column with width M = 11. The printing instance M;l1,..., ln=11; 4, 4, 3, 5, 5, 2, 2, 2 is used to symbolise this. (a) Complete the cost[0..n] and birdAdvice[0..n] tables for this case. The lowest row contains the initial instance, its solution, and its expense. (b) When completing this final row, include solutions and prices related to each of the potential bird responses. clarify in depth
- Please answer thr following parts in depth with full detail. Part (a): Suppose that a heuristic h satisfies h(t) = 0, where t is any goal state. Prove that if h is consistent, then it must be admissible. Part (b): Suppose that h,hare heuristics such that h dominates h. Show that if h is admissible, then so is h; does the same claim hold for consistent heuristics? I.e. if h is consistent and dominates a heuristic h, is hconsistent as well? Prove or provide a counterexample.Which of the following linear programming model has bounded feasible region? Group of answer choices A. max ?=3?+2?subject to the following:??+4???≥4−?≥10≥0≥0max z=3x+2ysubject to the following:x≥4−yx+4y≥10x≥0y≥0 B. max ?=3?+2?subject to the following:?+????≤4≤10−4?≥0≥0max z=3x+2ysubject to the following:x+y≤4x≤10−4yx≥0y≥0 C. None of the above D. max ?=3?+2?subject to the following:??+2???≥10−?≥2≥0≥0Hi , is it possible for someone to insert in this genetic algorithm in matlab equations, values, equations of constraints and values in order to be able to have a code that can adapt to mine please? King regards MAIN MATLAB CODE % Define the objective functions to maximize and minimize f = @(x) [x(1)^2, x(2)^2, -x(3)^2, -x(4)^2]; g = @(x) [-x(1)^2, -x(2)^2, x(3)^2, x(4)^2]; % Define the constraints A = [-1 0 0 1; 0 -1 0 1; 0 0 -1 1; 1 1 1 1]; b = [-1; -1; -1; 1]; % Set the GA options options = optimoptions('gamultiobj', 'Display', 'iter', 'PlotFcn', {@gaplotpareto, @gaplotscorediversity}); % Run the GA [x, fval] = gamultiobj(@(x) [f(x), g(x)], 4, A, b, [], [], [], [], options); % Plot the Pareto front in 3D scatter3(fval(:,1), fval(:,2), fval(:,3), 20, 'filled'); xlabel('f_1(x)'); ylabel('f_2(x)'); zlabel('f_3(x)'); title('Pareto Front'); grid on; NOTE this is an personal project , not an assigment
- Answer the following: This problem exercises the basic concepts of game playing, using tic-tac-toe (noughts and crosses) as an example. We define Xn as the number of rows, columns, or diagonals with exactly n X’s and no O’s. Similarly, On is the number of rows, columns, or diagonals with just n O’s. The utility function assigns +1 to any position with X3=1 and −1 to any position with O3=1. All other terminal positions have utility 0. For nonterminal positions, we use a linear evaluation function defined as Eval(s)=3X2(s)+X1(s)−(3O2(s)+O1(s)). a. Show the whole game tree starting from an empty board down to depth 2 (i.e., one X and one O on the board), taking symmetry into account. b. Mark on your tree the evaluations of all the positions at depth 2. c .Using the minimax algorithm, mark on your tree the backed-up values for the positions at depths 1 and 0, and use those values to choose the best starting move. Provide original solutions including original diagram for part a!Answer the following: This problem exercises the basic concepts of game playing, using tic-tac-toe (noughts and crosses) as an example. We define Xn as the number of rows, columns, or diagonals with exactly n X’s and no O’s. Similarly, On is the number of rows, columns, or diagonals with just n O’s. The utility function assigns +1 to any position with X3=1 and −1 to any position with O3=1. All other terminal positions have utility 0. For nonterminal positions, we use a linear evaluation function defined as Eval(s)=3X2(s)+X1(s)−(3O2(s)+O1(s)). a. Show the whole game tree starting from an empty board down to depth 2 (i.e., one X and one O on the board), taking symmetry into account. b. Mark on your tree the evaluations of all the positions at depth 2. c .Using the minimax algorithm, mark on your tree the backed-up values for the positions at depths 1 and 0, and use those values to choose the best starting move. Provide original solution!Show your work and justify.In how many ways can we pick two cards from a deck of 52 playing cards so that the followingtwo constraints are both satisfied:(1) We pick at least one Queen(2) We pick at least one Diamond.Justify your arguments.