(Financial: credit card number validation) Rewrite Programming Exercise 5.31 using a str...

(Financial: credit card number validation) Rewrite Programming Exercise 5.31 using a string input for the credit card number. Redesign the program using the following methods:

REF PRB:

(Financial: credit card number validation) Credit card numbers follow certain patterns.

A credit card number must have between 13 and 16 digits. It must start with:

¦ 4 for Visa cards

¦ 5 for Master cards

¦ 37 for American Express cards

¦ 6 for Discover cards

In 1954, Hans Luhn of IBM proposed an algorithm for validating credit card numbers. The algorithm is useful to determine whether a card number is entered correctly or whether a credit card is scanned correctly by a scanner. Credit card numbers are generated following this validity check, commonly known as the Luhn check or the Mod 10 check, which can be described as follows (for illustration, consider the card number 4388576018402626):

1. Double every second digit from right to left. If doubling of a digit results in a two-digit number, add up the two digits to get a single-digit number.