Construct the Cayley table for the summetric group S3 := Compute the inverse of each permutation S3 3- Compute the order of each permutation o E S3 4 - Compute the set A:= {0 S3, [0] =2} } 5- Compute the set B = {0 S3, [0] = 3} 6 Compute the set C:= {0 S3, |o| = 4} 7- Compute the set D := {0 S3, |0| = 5} 8- Compute the set E := {0 S3, |o|= 6} 9- Compute the set F := {0 S3, |o| = 7} 10- Compute An B, Cn B,BnE, EN A 11- Compute the set T := {0 S3, |0|=1} 12- Compute the set G := {0 S3, |o|=0} 13- Compute all of the C(o) for each S3 14- Compute Z(S3) 15- Compute all of the generators of the symmetric group S3 This is an example of algorithms for computing one root of a quadratic equation presented by natural language. Input a Input b Input c Compute z b Compute y-b*b Compute w Ba Compute v = wc Compute uy - v Compute t= i Compute s= z + t Computer = 2a Compute x = s/r. True False