Complete the tables for dynamic programming for the Longest CommonSub-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) containsFill in the missing values of the entries.AA1111G222AAIn the following, each entry b(i, j) E {†,\,+} represents the direction of recursion forc(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.bAGACCWhat is the LCS of X and Y?Ulo -uloKEO o o o o o oO O o oo oGATAU

Table for Longest Common Sub-sequence:- A C G C T A C 0 0 0 0 0…

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, . .. , Yj) contains the first j letters of Y. ..., xi) contains Fill in the missing values of the entries. A G A 1 1 1 1 1 1 G 1 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; = Y;; 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. A C G А G A A What is the LCS of X and Y? ulo N o o o o o o o O O o o

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, . .. , Yj) contains the first j letters of Y. ..., xi) contains Fill in the missing values of the entries. A G A 1 1 1 1 1 1 G 1 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; = Y;; 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. A C G А G A A What is the LCS of X and Y? ulo N o o o o o o o O O o o

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Concept explainers

Polynomial Time

The problems for which the deterministic polynomial-time algorithm exists belong to the complexity class (p) and it is central in the field of computational complexity theory. According to Cobham’s thesis, polynomial time is a synonym for “feasible”, “fast”, and “efficient”.

Question

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
GATAU

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