Please use c++ to write the code

Considering the following C++ declaration: int A[2]; // A is a set of 2 elements int B[3]={1,2,3}; // B is a set of 3 elements int C[2]; // C is a set of 2 elements Requirements: a) Input numbers for A and input for C (i.e cin >> X >> y) b) Do the Cartesian product in example 1.2.7 c) Output all ordered pair and ordered triples. Cartesian Products Example: 1.2.7 (see EppDM5e_01_02.pdf) Let A = {x, y}, B = {1, 2, 3), and C = {a, b}. Write the find function for the following: 1) Find Ax B 2) Find B XA 3) Find AxA 4) How many elements are in Ax B, B XA, and AxA 5) Find (A x B) x C 6) Define a relation R from A to B as following: Given any (x,y) means that (x-y) / 2 is an integer. Example 1.2.7 - Cartesian Products Let A = {x,y}, B = {1, 2, 3), and C = {a, b}. a. Find A X B. b. Find B X A. c. Find A X A. d. How many elements are in A X B, B X A, and A X A? e. Find (A X B) XC f. Find A X B X C g. Let R denote the set of all real numbers. Describe R X R