Consider four sequences [a: L], b: L [e: L] and [d: L]. The sequence [h: L] is defined as hln)aln]b[n]+afn/c[n]+d[n]. (a] Using the principles of software checkpointing, devise any algorithm which computes h: L from the input sequences. [b] Comment clearly on the checkpoints used by the algorithm
Q: 1. Consider the following P = {P1, P2, P3, P4, P5} R = {R1, R2, R3, R4} E = {P3>R1, P2→R2, R4→P4,…
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Q: Using functional C++ programming, not OOP Given set A = {23, 56, -7, 6, 0, 75, 2.7, -3.6, 8, -4.77,…
A: SUMMARY: - hence we discussed all the points.
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- def mystery (1st); for idx in range(1, len(1st)); tmp = 1st[idx) idx2 = idx while 1dx2 > 9 and 1st[idx2-11 tmp: 1st[idx2] 1st[10/2 - 11 1dx2 = 1dx2 - 1 1st[idx2] = tmp print(1st) a. If we call this function as follows: mystery(lt) where ist 15, 2, 8, 11, what is printed out t clear about what is printed out, don't make me try to figure it out). b. What does this function do? c. What is the complexity of this function? Oni Ora, On³ Ologinil, Onioginil? Explain your reasoningUsing functional C++ programming, not OOP Given set A = {23, 56, -7, 6, 0, 75, 2.7, -3.6, 8, -4.77, 43, 678} and set B = {5, 8, 46, -98, 46} a. Using merge sort approach, sort the numbers in set A and B jointly. b. Using RAM diagrams, show the values of parameters that are passed between the partition() function and sort() function.Using functional C++ programming, not OOP Given set A = {23, 56, -7, 6, 0, 75, 2.7, -3.6, 8, -4.77, 43, 678} and set B = {5, 8, 46, -98, 46} a. Using q sort approach, sort the numbers in set A and B jointly. b. Using RAM diagrams, show the values of parameters that are passed between the partition() function and sort()
- Consider the following problem on a dictionary of n words, W1...Wn, each with exactly k characters. You can transform a word Wi into word Wj if they differ in at most d≤k characters. (both dd and kk are specified as part of the input, along with n and the words) For example, if the dictionary is: W1 = 'hit', W2 = 'cog', W3 = 'hot', W4 = 'dot', W5 = 'dog', W6 = 'lot', W7 = 'log', and d=1d=1, one way to change 'hit' to 'cog' is: 'hit' →→ 'hot' →→ 'dot' →→ 'dog' →→ 'cog'. We want to find the fewest number of steps to transform W1 to W2. Q1.1 I claim that this problem be formulated as a shortest path problem. Please provide a strategy to formulate this as the shortest path problem and give a graph visualization of the problem Q1.2 Show that your graph (in Q 1.1) can be constructed in O(n^2) time, and its size is up to O(n^2).Exercise 4. DYNAMIC PROGRAMMING: COUNTING CERTAIN DNA SEQUENCES. DNA strings use the alphabet A, C, G, T. Develop a dynamic programming algorithm for counting all DNA strings with nA, nc, nG, nT symbols of each kind, such that no two T's are adjacent and no two G's are adjacent. Justify the recurrence at the root of your solution. State your RAM model complexity, and the amount of space used.Develop a merging implementation based on the following idea to reduce the required extra space to max(M, N/M): For the purpose of simplicity, split the array into N/M blocks of size M and assume that N is a multiple of M. The blocks are then (i) sorted using selection sort, treated as items, with their first key serving as the sort key, and (ii) iterated over the array, merging the first block with the second, the second block with the third, and so on.
- Computer Science you are given a string X of length n and another string Y of length m ≤n. Say,the indexes p1, p2, p3, p4 and q1, q2, q3, q4 form two sub-sequences, i.e., 0 ≤ p1 < p2 < p3 < p4 < nand 0 ≤q1 < q2 < q3 < q4 < n; then, they are non-overlapping if p4 < q1.The task is to count the maximum number of non-overlapping sub-sequences of X that are thesame as Y . Thus, if X = GAXTYAWBGTAUGBTABGRGTAXB and Y = GTAB, then the answer is3 as shown by the red fonts. We cannot select the underlined GTAB as it overlaps with a red GTAB(i.e., among overlapping sub-sequences, you can select only one of them).Describe an O(m + n) time algorithm to obtain the count. Write a pseudo-code.Plot the following function f(x,y) = 1/16(x^2-L^2)(y^2-L^2) over x,y in [-L/2, L/2]. It is important that you use python, and numpy with maskingMemory usage. Compare the memory usage of BST with the memory usage of BinarySearchST and SequentialSearchST for N key-value pairs, under the assump- tions described in Section 1.4 (see Exercise 3.1.21). Do not count the memory for the keys and values themselves, but do count references to them. Then draw a diagram that depicts the precise memory usage of a BST with String keys and Integer values (such as the ones built by FrequencyCounter), and then estimate the memory usage (in bytes) for the BST built when FrequencyCounter uses BST for Tale of Two Cities.
- let rec longer (xs, ys) match (xs, ys) with | (_, []) -> true (* line 1 *) | ([],_) -> false (* line 2 *) | (_::xs,_::ys) -> longer (xs,ys) (* line 3 *) = (a) For each of the following alternate orders of the branches, indicate one of the following: (A) The function would still be correct. (B) The function would still type-check (no unreachable branch) but would no longer be correct. (C) The function would no longer type-check (due to an unreachable branch). i. line 2; then line 1; then line 3 ii. line 3; then line 1; then line 2 iii. line 3; then line 2; then line 1 iv. line 1; then line 3; then line 2Develop a merging implementation based on the following idea to reduce the required extra space to max(M, N/M): For the purpose of simplicity, split the array into N/M blocks of size M and assume that N is a multiple of M. Following that, (i) use selection sort to order the blocks, treating them as items and using their first key as the sort key; and (ii) iterate over the array, merging the first block with the second, the second block with the third, and so on. Develop a merging implementation based on the following idea to reduce the required extra space to max(M, N/M): For the purpose of simplicity, split the array into N/M blocks of size M and assume that N is a multiple of M. Following that, (i) use selection sort to order the blocks, treating them as items and using their first key as the sort key; and (ii) iterate over the array, merging the first block with the second, the second block with the third, and so on. Develop a merging implementation based on the following idea to…Let K be the total calculated in step 4.a.i, and let LSUBS be the set of all subsets of n strings taken from L, 2 ≤ n < m. Continuing the example above for n = 2, LSUBS might be enumerated in the format { {AAAAA, AAAAC}, {AAAAA, AAAAG}, … {TTTTG, TTTTT} }. What is |LSUBS|, the cardinality of the set of subsets, as a function of K?