Algorithm to Enumerating All Base Images Input : a permutation group G; a base and strong generating set for G; the Schreier vectors v (i) , 1 < i < k, of the stabiliser chain;

In this problem, we consider the class of n-dimensional axis-aligned boxes. Each function c in this class is specified by aset of 2n values ℓ1, . . . , ℓn and u1, . . . , un in [0, 1], which defines an axis-aligned n-dimensional box. Given an n-dimensionalinput vector x, c(x) is defined to be 1 (or ‘+’) if for every i ∈ {1, . . . , n} the i’th coordinate of x lies in [ℓi, ui]. Otherwise,c(x) is defined to be 0 (or ‘-’) .An example of a 2-dimensional axis-aligned box is shown in the figure below. (a) Let C be the class of n-dimensional axis-aligned boxes, and c ∈ C be the unknown target function. State an efficientalgorithm that takes as input an arbitrary set of points x1, x2, . . . , xm each a point in n-dimensional space, and theircorresponding labels c(x1), c(x2), . . . , c(xm), and outputs a function h ∈ C that is consistent with this data. Youralgorithm should run in polynomial time in m, n and facilitate answering part (b) below.   Let D be an arbitrary, unknown distribution, and…

The input is a 20×20 matrix and the filter (aka kernel) is a 5×5 matrix. We set stride = 1 and no zero-padding. What is the shape of the output matrix

Algorithm to Determining an orbit and Schreier vectorInput : a set S = {s 1, s2 ..... Sm} of generators of a group G acting on f2; a point 5;Output : the orbit ~G; a Schreier vector v and backward pointers w of the orbit 8 G relative to the set S of generators;