Sha256: 929afa7e04997018837703af44476e4927c7c624ffac42f557635a964c9f92ea

Contents?: true

Size: 1.92 KB

Versions: 97

Compression:

Stored size: 1.92 KB

Contents

# Luhn

Given a number determine whether or not it is valid per the Luhn formula.

The [Luhn algorithm](https://en.wikipedia.org/wiki/Luhn_algorithm) is
a simple checksum formula used to validate a variety of identification
numbers, such as credit card numbers and Canadian Social Insurance
Numbers.

The task is to check if a given string is valid.

Validating a Number
------

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.

## Example 1: valid credit card number

```
4539 1488 0343 6467
```

The first step of the Luhn algorithm is to double every second digit,
starting from the right. We will be doubling

```
4_3_ 1_8_ 0_4_ 6_6_
```

If doubling the number results in a number greater than 9 then subtract 9
from the product. The results of our doubling:

```
8569 2478 0383 3437
```

Then sum all of the digits:

```
8+5+6+9+2+4+7+8+0+3+8+3+3+4+3+7 = 80
```

If the sum is evenly divisible by 10, then the number is valid. This number is valid!

## Example 2: invalid credit card number

```
8273 1232 7352 0569
```

Double the second digits, starting from the right

```
7253 2262 5312 0539
```

Sum the digits

```
7+2+5+3+2+2+6+2+5+3+1+2+0+5+3+9 = 57
```

57 is not evenly divisible by 10, so this number is not valid.

### Submitting Exercises

Note that, when trying to submit an exercise, make sure the exercise file that you're submitting is in the `exercism/csharp/<exerciseName>` directory.

For example, if you're submitting `bob.cs` for the Bob exercise, the submit command would be something like `exercism submit <path_to_exercism_dir>/csharp/bob/bob.cs`.
## Source

The Luhn Algorithm on Wikipedia [http://en.wikipedia.org/wiki/Luhn_algorithm](http://en.wikipedia.org/wiki/Luhn_algorithm)

## Submitting Incomplete Solutions
It's possible to submit an incomplete solution so you can see how others have completed the exercise.

Version data entries

97 entries across 97 versions & 1 rubygems

Version Path
trackler-2.2.1.43 tracks/csharp/exercises/luhn/README.md
trackler-2.2.1.42 tracks/csharp/exercises/luhn/README.md
trackler-2.2.1.41 tracks/csharp/exercises/luhn/README.md
trackler-2.2.1.40 tracks/csharp/exercises/luhn/README.md
trackler-2.2.1.39 tracks/csharp/exercises/luhn/README.md
trackler-2.2.1.38 tracks/csharp/exercises/luhn/README.md
trackler-2.2.1.37 tracks/csharp/exercises/luhn/README.md
trackler-2.2.1.36 tracks/csharp/exercises/luhn/README.md
trackler-2.2.1.35 tracks/csharp/exercises/luhn/README.md
trackler-2.2.1.34 tracks/csharp/exercises/luhn/README.md
trackler-2.2.1.33 tracks/csharp/exercises/luhn/README.md
trackler-2.2.1.32 tracks/csharp/exercises/luhn/README.md
trackler-2.2.1.31 tracks/csharp/exercises/luhn/README.md
trackler-2.2.1.30 tracks/csharp/exercises/luhn/README.md
trackler-2.2.1.29 tracks/csharp/exercises/luhn/README.md
trackler-2.2.1.28 tracks/csharp/exercises/luhn/README.md
trackler-2.2.1.27 tracks/csharp/exercises/luhn/README.md
trackler-2.2.1.26 tracks/csharp/exercises/luhn/README.md
trackler-2.2.1.25 tracks/csharp/exercises/luhn/README.md
trackler-2.2.1.24 tracks/csharp/exercises/luhn/README.md