2. Consider two strings X and Y as given below; X= {a, c, b, a, e, d} Y = {a, b, c, a, d, f} Construct a LCS table and find out the length of the longest common subsequence (LCS) and the LCS itself, using Dynamic Programming Algorithm.
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- Complete the tables for dynamic programming for the Longest Common Sub-sequence (LCS) Problem on X = CGAT AC and Y = ACGCT AC. Let c(i, j) represent the length of LCS(X;,Y;), where X; the first i letters of X and Y; = (y1, Y2, . .. , Y;) contains the first j letters of Y. (x1, x2, . .. , xi) contains Fill in the missing values of the entries. A A 1 1 1 1 G 2 2 2 A A In the following, each entry b(i, j) E {†,\,+} represents the direction of recursion for c(i, j). Specifically,b(i, j) =K if x; = Yj; otherwise, b(i, j) =† if c(i – 1, j) > c(i, j– 1); b(i, j) =+- if c(i – 1, j) < c(i, j – 1). Fill in the missing values of the entries. b A G A C C What is the LCS of X and Y? Ulo - uloKE O o o o o o o O O o oo o GATAUConsider two strings A and B. Take string A as your First name and Last name without space in-between (eg: LUDHIANACITY) and string B as the name of your home town (eg: JALANDHARCITY). Now find the Longest Common Subsequence (LCS) common to strings A and B using Dynamic Programming.Consider two strings A and B. Take string A as your First name and Last name without space in-between (eg: rahulverma) and string B as the name of your home town (eg: JALANDHARCITY). Now find the Longest Common Subsequence (LCS) common to strings A and B using Dynamic Programming
- 1. Two sample gene sequences are given as below: X = {G, T, G, C, A, T, G} Y = {T, G, A, C, T, A} Find the longest common subsequence (LCS) of these two strings. Find out the length of this LCS. Explain the steps using dynamic programming concepts.Code must be in C/C++ language using MPI Suppose comm_sz = 8 and the vector x = (0,1,2,...,15) has been distributed among the processes using a block distribution. Implement an allgather operation using a butterfly structured communication (see diagram below) and point-to-point communication functions7. Write both CNF and DNF form for the Boolean expression E (x1,X2, X3, X4) = [(x1 ^ xz ^ X4) V (X1 A X2 ^ X3 )] ^ (X2 ^ X3 A X4) over the two valued Boolean algebra {{0,1}, ^, V, - }.
- Given g = {(1,c),(2,a),(3,d)}, a function from X = {1,2,3} to Y = {a,b,c,d}, and f = {(a,r),(b,p),(c,δ),(d,r)}, a function from Y to Z = {p, β, r, δ}, write f o g as a set of ordered pairs.use c++ to 4. Investigate various algorithms for mergsort and compare two implementations based on their behaviour as inputsize grows experimentally by 10, 100, 300 and 500.5. Recall the Longest Common Subsequence (LCS) problem that we discussed during dynamic-programming lecture. What is a Longest Common Subsequence (LCS) for X = ADBBDACAD and Y = BACDBDA?
- Assume the scoring matrix and sequences v and w from Question 1. Fill out the dynamic programming table for the local alignment between v and w. Use the following recursive scoring formula. а. w;) S1j-1+ 8 ( V, w; S1,+o ( V, -) S.j1+8 ( -, w; ) SiFmax W= C A T C C A 1 6. 7 v= T 1 A 2 G C T C 6. C 7 8 b. What is the score and local alignment between v and w?A wave is modeled by the wave function: y (x, t) = A sin [ 2π/0.1 m (x - 12 m/s*t)] y1 (t) = A sin (2πf1t) y2 (t) = A sin (2πf2t) Using any computer program, construct the wave dependency graph resultant y (t) from time t in the case when the frequencies of the two sound waves are many next to each other if the values are given: A = 1 m, f1 = 1000 Hz and f2 = 1050 Hz. Comment on the results from the graph and determine the value of the time when the waves are with the same phase and assemble constructively and the time when they are with phase of opposite and interfere destructively. Doing the corresponding numerical simulations show what happens with the increase of the difference between the frequencies of the two waves and vice versa.Dynamic Programming: Determine a Longest Common Subsequence (LCS)for the following two strings using dynamic programming approach. You need to illustratethe step-by-step procedure based on a table and also illustrate the path to reconstruct theLCS you have found by drawing lines through the centers of the grids on the path in the table.‘HIEROGLYPHOLOGY’ vs. ‘MICHAELANGELO’