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- Algorithm Bellman_Ford1: procedure Bellman_Ford(G,s)2: for all {v} ∈ V do initialize3: d[v]←∞4: p[v] ← Ø5: end for6: d[s] ← 0 s has 0 cost7: for k = 1 to n − 1 do8: for all (u, v) ∈ E do relaxation9: if d[v] > d[u] + w[u, v] then10: d[v] = d[u] + w[u, v]11: p[v] ← u12: end if13: end for14: end for15: for all (u, v) ∈ E do16: if d[v] > d[u] + W[u, v] then17: return Ø a negative cycle detected18: end if19: end for20: return d, P21: end procedure Make Python Implementation of given algorithmUse Cryptarithmetic to solve the following example: Where, Variables: HELPZAR X1 X2 X3 X4 Domains: 0,1,2,3,4,5,6,7,8,9 Constraints: alldiff (HELPZAR) L+ R= A + 10 * X2 We have to assign a number to every letter. The numbers assign to each variable shouldn’t be duplicated. The sum should hold.Professional wrestlers fall into two categories: "babyfaces" (the "good guys") and "heels" (the "bad guys"). There may or may not be a rivalry between any two professional wrestlers. Consider a scenario in which there are n professional wrestlers and a list of r pairs of wrestlers who are in conflict. Determine if it is possible to label certain wrestlers as babyfaces and the remaining ones as heels so that each rivalry is between a babyface and a heel by providing an O.n C r/-time algorithm. Your algorithm ought to provide such a designation if it is possible to do so.
- Question 15 pap Suppose we have a Monte Carlo algorithm, A, and a deterministic algorithm, B, for testing if the output of A is correct. How can we use A and B to construct a Las Vegas algorithm? Also, if A succeeds with probability ½ and both A and B run O(n) time, what is the expected running time of the Las Vegas algorithm that is produced? Full explain this question and text typing work only We should answer our question within 2 hours takes more time then we will reduce Rating Dont ignore this lineAlice writes n distinct integers on a blackboard, and picks a positive integer K. She then allows Bob to make moves, each of which consist of the following steps. 1. Identify two integers x and y on the blackboard which differ by at most K, i.e. |x − y| ≤ K. 2. Erase the smaller of the two chosen integers. Bob’s task is to make moves in this way until he is no longer able to do so. Note that in some cases, Bob may be unable to make even a single move. Design an algorithm which runs in O(n log n) time and finds the longest sequence of moves. If there are several sequences of maximum length, you may find any of them. Do not write the code, give steps and methods. Explain the steps of algorithm, and the logic behind these steps in plain English Bob makes several moves, each consisting of the two steps above, until no more valid moves are available. The problem asks you to design an algorithm which finds the greatest number of consecutive moves that Bob can make from the initial state, and…Analyze the worst case, the best case and average cese scenarios while executing the following algorithm using appropriate examples: Divide and conquer
- A B C D X1 a1 b1 c3 L X2 a2 b1 c1 L X3 a2 b2 c1 H X4 a2 b2 c2 H X5 a2 b1 c1 L X6 a2 b2 c1 H X7 a2 b1 c2 H X8 a1 b2 c2 L From the table above, assuming the min confidence is 35%, and minsup is 37%, which of the following rules are strong? a. a1 => c3 b. L => b1 c. a2, b2 => H d. a1, b1 => LApplying the banker’s algorithm, which of the following would be a possible order of completion for the following state? Available = (4, 4, 1, 1) Allocation Max ABCD ABCD T0 1202 4316 T1 0112 2424 T2 1240 3651 T3 1201 2623 T4 1001 3112Algorithm to An iterative solution to Towers of Hanoi.in: triplet S = s0, s1, s2 representing the current game stateout: triplet R = r0, r1, r2 representing the new game statelocal: pole indices a, b, z ∈ {0, 1, 2}; disc numbers g, h ∈ [2, n]; last(Q) = Q|Q|−1, if1 ≤ |Q|, otherwise, last(Q) = +∞
- Question 13 su . Full explain this question and text typing work only We should answer our question within 2 hours takes more time then we will reduce Rating Dont ignore this line Let n=p*q where p and q are two large secret primes. Give b and n, finding x such that ×^2 = b mod n is a hard problem True FalseConsider the following algorithm and answer the following questions. procedure Algo1(a1, a2, . . . , an: integers) k := 0 for i := 1 to n if ai is even then k := i return k{k is the desired location(or 0 if there are no evens)} What does the given algorithm compute??? Execute the given algorithm and complete the following table by using the list 3, 5, 8, 10, 5, 2, 1, 7, 3, 13. i ai k 1 3 2 5 3 8 4 10 5 5 6 2 7 1 8 7 9 3 10 13Heuristics Prove or disprove: If h1(n), ..., hk(n) are admissible, so is h(n) = h1(n) + ... + hk(n)