Backtrack Search Using First in Orbit Algorithm 1 Input: a group G with a basis B=[I, 2..... k] and a strong generating set S; a decidable property P with elements that form a subgroup; Output: a strong generating set relative to B for the subgroup K =H(P); procedure search(G: group; P: property; s: 1..k+l; var K: group);

Q: Recurrence relations: Master theorem for decreasing functions T(n) = {TG T(n −b) + f(n), if n = 0 if…

A: We need to find the recurrence relation using master theorem. I have given explanation in…

Q: Backtrack Search Using First in Orbit Algorithm 1 Input: a group G with a basis B=[I, 2..... k] and…

A: Given data: Input: a group G with a basis B=[I, 2..... k] and a strong generating set S; a decidable…

Q: algorithm to constructs both envelopes for all antipodal pairs in O(n)

A: For any antipodal couples, the method generates both envelopes in O(n) steps. The main steps of the…