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We explore 8 different versions of Luhn, starting with a very tidy Ruby implementation, exploring some imperative and functional approaches, and ending up with a SQLite version that took Erik and Jeremy some work to decipher!
At the Global Verification Authority, you've just been entrusted with a critical assignment. Across the city, from online purchases to secure logins, countless operations rely on the accuracy of numerical identifiers like credit card numbers, bank account numbers, transaction codes, and tracking IDs. The Luhn algorithm is a simple checksum formula used to help identify mistyped numbers.
A batch of identifiers has just arrived on your desk. All of them must pass the Luhn test to ensure they're legitimate. If any fail, they'll be flagged as invalid, preventing mistakes such as incorrect transactions or failed account verifications.
Can you ensure this is done right? The integrity of many services depends on you.
Determine whether a number is valid according to the Luhn formula.
The number will be provided as a string.
Strings of length 1 or less are not valid. Spaces are allowed in the input, but they should be stripped before checking. All other non-digit characters are disallowed.
The number to be checked is 4539 3195 0343 6467.
The first step of the Luhn algorithm is to start at the end of the number and double every second digit, beginning with the second digit from the right and moving left.
4539 3195 0343 6467
↑ ↑ ↑ ↑ ↑ ↑ ↑ ↑ (double these)
If the result of doubling a digit is greater than 9, we subtract 9 from that result. We end up with:
8569 6195 0383 3437
Finally, we sum all digits. If the sum is evenly divisible by 10, the original number is valid.
8 + 5 + 6 + 9 + 6 + 1 + 9 + 5 + 0 + 3 + 8 + 3 + 3 + 4 + 3 + 7 = 80
80 is evenly divisible by 10, so number 4539 3195 0343 6467 is valid!
The number to be checked is 066 123 468.
We start at the end of the number and double every second digit, beginning with the second digit from the right and moving left.
066 123 478
↑ ↑ ↑ ↑ (double these)
If the result of doubling a digit is greater than 9, we subtract 9 from that result. We end up with:
036 226 458
We sum the digits:
0 + 3 + 6 + 2 + 2 + 6 + 4 + 5 + 8 = 36
36 is not evenly divisible by 10, so number 066 123 478 is not valid!
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