Algorithm for Match in a pyramid tournament. in: set P of players in the pyramid structure; players p and q (p, q ∈ P ∧ ((rank(p) = rank(q) ∧ ¬peerWinner(q)) ∨ (rank(p) = rank(q) − 1 ∧ peerWinner(q)))) out: set R of players after p and q have had a match local: match outcome m
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in: set P of players in the pyramid structure; players p and q (p, q ∈ P ∧
((rank(p) = rank(q) ∧ ¬peerWinner(q)) ∨ (rank(p) = rank(q) − 1 ∧
peerWinner(q))))
out: set R of players after p and q have had a match
local: match outcome m
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- Q3: Solve this recurrence using domain transformation. T(1) = 1 T(n) = T(n/2) + 6nlognThis assignment uses several heuristic search techniques to find possibly optimal truth assignments for variables in the given Boolean formulas (see the bottom of the assignment). The formulas are in conjunctive normal form (ANDs of ORs). The fitness of an assignment is the number of clauses (ORs) that the assignment satisfies. If there are c clauses, then the highest fitness is bounded by c. However, if the formula is not satisfiable, then you cannot simultaneously make all c clauses true. You will use three of the following seven techniques: DPLL Resolution Genetic algorithms Local search Simulated annealing GSAT WalkSAT You must choose at least one complete algorithm to implement - DPLL or Resolution.Algorithm for Hill-climbing tournament.in: set P of n unranked players (1 ≤ n)out: set R of ranked players which has a champion ranked(R, 0)local: ranking structure S; reigning champion c
- The Josephus problem is the following game: N people, numbered 1 to N, are sitting in a circle. Starting at person 1, a hot potato is passed. After M passes, the person holding the hot potato is eliminated, the circle closes ranks, and the game continues with the person who was sitting after the eliminated person picking up the hot potato. The last remaining person wins. Thus, if M = 0 and N = 5, players are eliminated in order, and player 5 wins. If M = 1 and N = 5, the order of elimination is 2, 4, 1, 5. Write a C program to solve the Josephus problem for general values of M and N. Try to make your program as efficient as possible. Make sure you dispose of cells. What is the running time of your program? If M = 1, what is the running time of your program? How is the actual speed affected by the delete routine for large values of N (N > 100,000)? ps. provide a screenshot of output, thankssCreate and describe a general m-round winner tournament for players P called Round-Winner-Tournament(P,m), where players are paired at random in rounds 0, 1,..., m 1 and the victors advance to the next round. The winner is chosen at random from the surviving players after round m 1. It's interesting to note that this tournament format has the following special cases: the random selection tournament (m = 0), the random pairing tournament (m = 1), and the single elimination seeding tournament (m = lg |P|).If P = { a,b,c,d,e } and Q = { a,q,r,s,e }, how many members has (P U Q) ?
- Solve the problems below using the pigeonhole principle: A) How many cards must be drawn from a standard 52-card deck to guarantee 2 cardsof the same suit? Note that there are 4 suits. B) Prove that if four numbers are chosen from the set {1, 2, 3, 4, 5, 6}, at least onepair must add up to 7.Hint: Find all pairs of numbers from the set that add to 7.C) Prove that for any 10 given distinct positive integers that are less than 100, thereexist two different non-empty subsets of these 10 numbers, whose members have the samesum.An example of the 10 given numbers could be 23, 26, 47, 56, 14, 99, 94, 78, 83, 69. Onesubset of the 10 numbers could be {23, 26, 47, 56}, and another subset could be {83, 69}.The sum of the elements in the first set is 152, and it is equal to the sum of the elements inthe second subset.Hint: identify how many pigeons and how many holes you have before using the pigeonholeprinciple.Correct answer will be upvoted else downvoted. Four players take part in the season finisher competition. The competition is held by the accompanying plan: the principal player will play with the second, and the third player with the fourth, then, at that point, the victors of the sets will play in the finals of the competition. It is realized that in a match between two players, the one whose expertise is more noteworthy will win. The ability of the I-th player is equivalent to si and all expertise levels are pairwise unique (i. e. there are no two indistinguishable qualities in the exhibit s). The competition is called reasonable if the two players with the most elevated abilities meet in the finals. Decide if the given competition is reasonable. Input :The principal line contains a solitary integer t (1≤t≤104) — the number of experiments. A solitary line of experiment contains four integers s1,s2,s3,s4 (1≤si≤100) — ability of the players. It is ensured that every one…Correct answer will be upvoted else downvoted. 2k groups take an interest in a season finisher competition. The competition comprises of 2k−1 games. They are held as follows: as a matter of first importance, the groups are parted into sets: group 1 plays against group 2, group 3 plays against group 4 (precisely in a specific order, etc (thus, 2k−1 games are played in that stage). At the point when a group loses a game, it is wiped out, and each game outcomes in disposal of one group (there are no ties). From that point onward, just 2k−1 groups remain. If by some stroke of good luck one group remains, it is pronounced the hero; in any case, 2k−2 games are played: in the first of them, the champ of the game "1 versus 2" plays against the victor of the game "3 versus 4", then, at that point, the victor of the game "5 versus 6" plays against the champ of the game "7 versus 8, etc. This cycle rehashes until just one group remains. Input :The principal line contains one integer k…
- Let A = {a, b, c}, B = {x, y}, and C = {0, 1}. Identify B × B × B.Correct answer will be upvoted else downvoted. Computer science. There are two potential results of a game: the game might bring about a tie, then, at that point, the two groups get 1 point; one group may dominate in a match, then, at that point, the triumphant group gets 3 focuses and the losing group gets 0 focuses. The score of a group is the number of focuses it acquired during all games that it played. You are keen on a theoretical circumstance when all groups get a similar score toward the finish of the title. A basic illustration of that circumstance is the point at which all games bring about ties, however you need to limit the number of ties too. Your assignment is to depict a circumstance (pick the aftereffect of each game) so that all groups get a similar score, and the number of ties is the base conceivable. Input The main line contains one integer t (1≤t≤100) — the number of experiments. Then, at that point, the experiments follow. Each…As an investor, I always check the stock market in order to find good companies to invest in. Recently, I found that the best companies to invest in, are the ones that have largest sum formed by a strictly increasing set of numbers (a set where the next element is always greater than the current element). But before I invest, I need to know the position of the first element of the consecutive increasing numbers. Help me so we can start investing already! Note: If it is already the last element of the row in the array, the next element is the first element of the next row, if there exists a next row. Input 1. Number of rows Description This is the number of rows of the multidimensional array. 2. Number of columns Description This is the number of columns of the multidimensional array. 3. Elements of the multidimensional array Output The first line will contain a message prompt to input the number of rows. The second line will contain a message prompt to input the…