Given two strings A and B and the following operations can be performed on A. Find a minimum number of operations required to make A and B equal. (Please Design a dynamic programming algorithm that can use the following operations to make A equals to B and analyze the complexity. Assume the size of the string is n.). When designing the dynamic programming algorithm, please describe the size and dimensionality of the dynamic programming table, and explicitly formulate the recurrence relationship. 1. Insert 2. Delete 3. Replace
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- Suppose you are in Canada's Thousand Islands National Park, and in one particular lake there are n small islands that park officials want to connect with floating bridges so that people can experience going between islands without a canoe. The cost of constructing a bridge is proportional to its length. Assume the distance between every pair of islands is given to you as a two dimensional matrix (an example of such a table for n = 8 islands is shown below). A B C Ꭰ E F G H A 240 210 340 280 200 345 120 B 240 265 175 215 180 185 155 C 210 265 - 260 115 350 435 195 Ꭰ 340 175 260 160 330 295 230 E 280 215 115 160 360 400 170 F 200 180 350 330 360 175 205 G 345 185 435 295 400 175 305 H 120 155 195 230 170 205 305 Design an algorithm for determining which bridges they should build to connect the islands at minimal cost. Write down the pseudocode and explain why your algorithm correctly computes the set of bridges of minimal cost. Analyze the runnning time of your algorithm.a)Write a recursive definition for the set of odd positive integers. b)Use master theorem to find the solution to the recurrence relation f(n) = 4f(n/2) + 2? ! ,when n = 2" , where k is a positive integer and f(1) = 1.X Battle 3 (2).pdf 12. [Verbal] What does the following algorithm do? function: F(x, y) input: nonnegative integers x and y if y 0: return 0 z = F(x, FLOOR(y/2)) if y is even: return 22 = else: return x + 2z ro
- Horizontal sequence :RIVL Vertical sequence:FMK Scoring rules: g/o = -3, g/e = -1, match or mismatch - from PAM250 substitution matrix below. NW algorithm. 1. Complete the scoring matrix. Scoring matrix with PAM250 scores: R I V L F M K 2. Set up, initialize and complete the NW matrix. 3. Retrace, align and score alignment(s). Use the arrows and circles for the matrix and path(s). R I V L F M K Align and score all optimal alignments here. PLZ the arrows and circles for the matrix and path(s) AND SHOW ALL possible AlignmentOZ PROGRAMMING LANGUAGE Exercise 1. (Efficient Recurrence Relations Calculation) At slide 54 of Lecture 10, we have seen aconcurrent implementation of classical Fibonacci recurrence. This is: fun {Fib X} if X==0 then 0 elseif X==1 then 1 else thread {Fib X-1} end + {Fib X-2} end end By calling Fib for actual parameter value 6, we get the following execution containing several calls ofthe same actual parameters.For example, F3, that stands for {Fib 3}, is calculated independently three times (although it providesthe same value every time). Write an efficient Oz implementation that is doing a function call for a givenactual parameter only once.Consider a more general recurrence relation, e.g.:F0, F1, ..., Fm-1 are known as initial values.Fn = g(Fn-1, ..., Fn-m), for any n ≥ m.For example, Fibonacci recurrence has m=2, g(x, y) = x+y, F0=F1=1Given three sequences of length m, n, and p each, you are to design and analyze an algorithm to find the longest common subsequence (LCSS) for the three sequence. Is it possible to use dynamic programming to find the LCSS between the three sequences? If yes, provide recursive solution to the above problem.
- Alert dont submit AI generated answer.Given two strings A and B and the following operations can be performed on A. Find a minimum number of operations required to make A and B equal. (Please Design a dynamic programming algorithm that can use the following operations to make A equals to B and analyze the complexity. Assume the size of the string is n.). When designing the dynamic programming algorithm, please describe the size and dimensionality of the dynamic programming table, and explicitly formulate the recurrence relationship. 1. Insert 2. Delete 3. ReplaceQ1 Dan has a list of problems suitable for the assignment. The difficulties of these problems are stored in a list of integers a. The i-th problem’s difficulty is represented by a[i] (the higher the integer, the more difficult the problem). Dan is too busy eating saltines to worry about assignment decisions, so he asks Michael to select at least two problems from the list for the assignment. Since there are many possible subsets of the problems to consider and Michael has a life, he decides to consider only sublists (definition follows) of the list of problems. To make grading the assignment easier, Michael wants to pick problems that don’t vary too much in difficulty. What is the smallest difference between the difficulties of the most difficult selected problem and the least difficult selected problem he can achieve by selecting a sublist of length at least 2 of the original list of problems? Definition: A sublist of a list a is any list you can obtain by removing some (possibly 0)…
- Computer Science Python programming language Please help me with these Review questions with as much explanation as possible. I really need to understand thisTake the following permutation o of {1,2,3,4,5} defined below and use it to encode the phrase that follows. σ(1) = 5 σ (2) = 3 σ(3) = 4 σ (4) = 1 σ (5) = 2 ⠀ "WOODRUFF BEST DORM"