write a C++ program that outputs each number and its rank in the list from a given list of 20 distinct integers. The rank of a number x in list L is the number of elements larger than x in L.

For example, Input: 20 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 Output: (20 0) (2 18) (3 17) (4 16) (5 15) (6 14) (7 13) (8 12) (9 11) (10 10) (11 9) (12 8) (13 7) (14 6) (15 5) (16 4) (17 3) (18 2) (19 1) (1 19) /* the order of the pairs in the list in the output is not important */ Your program must implement the following algorithm: Read input of N=20 integers into array A Scan array A as index i runs from 0 to N-1 calculate the rank of A[i] by counting all numbers that are larger than A[i] Output all elements and their ranks in list L (i.e. array A) In this assignment you are asked to implement list L as an array of size N such that each element in L is a structure that contains an element and its rank in array A.