(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
- for Visa cards
- for Master cards
- for American Express cards
- for Discover cards
In 1954, Hans Luhn of IBM proposed an
- 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.
- 2. Now add all single-digit numbers from Step 1.
4 + 4 + 8 + 2 + 3 + 1 + 7 + 8 = 37
- 3. Add all digits in the odd places from right to left in the card number.
6 + 6 + 0 + 8 + 0 + 7 + 8 + 3 = 38
- 4. Sum the results from Step 2 and Step 3.
37+38=75
- 5. If the result from Step 4 is divisible by 10, the card number is valid; otherwise, it is invalid. For example, the number 4388576018402626 is invalid, but the number 4388576018410707 is valid.
Write a
/** Return true if the card number is valid */
public static boolean isValid(long number)
/** Get the result from Step 2 */
public static int sumOfDoubleEvenPlace(long number)
/** Return this number if it is a single digit, otherwise, • return the sum of the two digits */
public static int getDigit(int number)
/** Return sum of odd-place digits in number */
public static int sumOfOddPlace(long number)
/** Return true if the number dis a prefix for number *I
public static boolean prefixMatched(long number, int d)
/** Return the number of digits in d */
public static int getSize(long d)
/ ** Return the first k number of digits from number. If the • number of digits in number is less than k, return number. */
public static long getPrefix(long number , int k)
Here are sample runs of the program: (You may also implement this program by reading the input as a string and processing the string to validate the credit card.)
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