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Add exercise: luhn #177
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| Original file line number | Diff line number | Diff line change |
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| @@ -0,0 +1,64 @@ | ||
| # Instructions | ||
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| Given a number determine whether or not it is valid per the Luhn formula. | ||
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| The [Luhn algorithm][luhn] is a simple checksum formula used to validate a variety of identification numbers, such as credit card numbers and Canadian Social Insurance Numbers. | ||
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| The task is to check if a given string is valid. | ||
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| ## Validating a Number | ||
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| 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. | ||
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| ### Example 1: valid credit card number | ||
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| ```text | ||
| 4539 3195 0343 6467 | ||
| ``` | ||
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| The first step of the Luhn algorithm is to double every second digit, starting from the right. | ||
| We will be doubling | ||
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| ```text | ||
| 4_3_ 3_9_ 0_4_ 6_6_ | ||
| ``` | ||
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| If doubling the number results in a number greater than 9 then subtract 9 from the product. | ||
| The results of our doubling: | ||
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| ```text | ||
| 8569 6195 0383 3437 | ||
| ``` | ||
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| Then sum all of the digits: | ||
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| ```text | ||
| 8+5+6+9+6+1+9+5+0+3+8+3+3+4+3+7 = 80 | ||
| ``` | ||
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| If the sum is evenly divisible by 10, then the number is valid. | ||
| This number is valid! | ||
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| ### Example 2: invalid credit card number | ||
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| ```text | ||
| 8273 1232 7352 0569 | ||
| ``` | ||
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| Double the second digits, starting from the right | ||
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| ```text | ||
| 7253 2262 5312 0539 | ||
| ``` | ||
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| Sum the digits | ||
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| ```text | ||
| 7+2+5+3+2+2+6+2+5+3+1+2+0+5+3+9 = 57 | ||
| ``` | ||
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| 57 is not evenly divisible by 10, so this number is not valid. | ||
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| [luhn]: https://en.wikipedia.org/wiki/Luhn_algorithm |
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| @@ -0,0 +1,19 @@ | ||
| { | ||
| "authors": [ | ||
| "MatthijsBlom" | ||
| ], | ||
| "files": { | ||
| "solution": [ | ||
| "luhn.jq" | ||
| ], | ||
| "test": [ | ||
| "test-luhn.bats" | ||
| ], | ||
| "example": [ | ||
| ".meta/example.jq" | ||
| ] | ||
| }, | ||
| "blurb": "Given a number determine whether or not it is valid per the Luhn formula.", | ||
| "source": "The Luhn Algorithm on Wikipedia", | ||
| "source_url": "https://en.wikipedia.org/wiki/Luhn_algorithm" | ||
| } |
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| @@ -0,0 +1,17 @@ | ||
| def parse_digit: | ||
| if . == " " | ||
| then empty | ||
| else tonumber | ||
| end; | ||
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| def double_digit: | ||
| 2 * . | ||
| | if . > 9 then . - 9 else . end; | ||
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| split("") | ||
| | try map( parse_digit ) catch [] | ||
| | reverse | ||
| | [ .[ range(0; length; 2) ] ] as $at_odd_indices | ||
| | [ .[ range(1; length; 2) ] | double_digit ] as $at_even_indices | ||
| | $at_odd_indices + $at_even_indices | ||
| | length > 1 and add % 10 == 0 |
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| @@ -0,0 +1,76 @@ | ||
| # This is an auto-generated file. | ||
| # | ||
| # Regenerating this file via `configlet sync` will: | ||
| # - Recreate every `description` key/value pair | ||
| # - Recreate every `reimplements` key/value pair, where they exist in problem-specifications | ||
| # - Remove any `include = true` key/value pair (an omitted `include` key implies inclusion) | ||
| # - Preserve any other key/value pair | ||
| # | ||
| # As user-added comments (using the # character) will be removed when this file | ||
| # is regenerated, comments can be added via a `comment` key. | ||
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| [792a7082-feb7-48c7-b88b-bbfec160865e] | ||
| description = "single digit strings can not be valid" | ||
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| [698a7924-64d4-4d89-8daa-32e1aadc271e] | ||
| description = "a single zero is invalid" | ||
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| [73c2f62b-9b10-4c9f-9a04-83cee7367965] | ||
| description = "a simple valid SIN that remains valid if reversed" | ||
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| [9369092e-b095-439f-948d-498bd076be11] | ||
| description = "a simple valid SIN that becomes invalid if reversed" | ||
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| [8f9f2350-1faf-4008-ba84-85cbb93ffeca] | ||
| description = "a valid Canadian SIN" | ||
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| [1cdcf269-6560-44fc-91f6-5819a7548737] | ||
| description = "invalid Canadian SIN" | ||
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| [656c48c1-34e8-4e60-9a5a-aad8a367810a] | ||
| description = "invalid credit card" | ||
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| [20e67fad-2121-43ed-99a8-14b5b856adb9] | ||
| description = "invalid long number with an even remainder" | ||
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| [7e7c9fc1-d994-457c-811e-d390d52fba5e] | ||
| description = "invalid long number with a remainder divisible by 5" | ||
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| [ad2a0c5f-84ed-4e5b-95da-6011d6f4f0aa] | ||
| description = "valid number with an even number of digits" | ||
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| [ef081c06-a41f-4761-8492-385e13c8202d] | ||
| description = "valid number with an odd number of spaces" | ||
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| [bef66f64-6100-4cbb-8f94-4c9713c5e5b2] | ||
| description = "valid strings with a non-digit added at the end become invalid" | ||
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| [2177e225-9ce7-40f6-b55d-fa420e62938e] | ||
| description = "valid strings with punctuation included become invalid" | ||
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| [ebf04f27-9698-45e1-9afe-7e0851d0fe8d] | ||
| description = "valid strings with symbols included become invalid" | ||
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| [08195c5e-ce7f-422c-a5eb-3e45fece68ba] | ||
| description = "single zero with space is invalid" | ||
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| [12e63a3c-f866-4a79-8c14-b359fc386091] | ||
| description = "more than a single zero is valid" | ||
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| [ab56fa80-5de8-4735-8a4a-14dae588663e] | ||
| description = "input digit 9 is correctly converted to output digit 9" | ||
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| [b9887ee8-8337-46c5-bc45-3bcab51bc36f] | ||
| description = "very long input is valid" | ||
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| [8a7c0e24-85ea-4154-9cf1-c2db90eabc08] | ||
| description = "valid luhn with an odd number of digits and non zero first digit" | ||
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| [39a06a5a-5bad-4e0f-b215-b042d46209b1] | ||
| description = "using ascii value for non-doubled non-digit isn't allowed" | ||
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| [f94cf191-a62f-4868-bc72-7253114aa157] | ||
| description = "using ascii value for doubled non-digit isn't allowed" | ||
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| [8b72ad26-c8be-49a2-b99c-bcc3bf631b33] | ||
| description = "non-numeric, non-space char in the middle with a sum that's divisible by 10 isn't allowed" |
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