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Luhn algorithm

Instructions

  • Given a number determine whether or not it is valid per the Luhn formula.
  • The 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 3195 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_ 3_9_ 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 6195 0383 3437
  • Then sum all of the digits:
  • 8+5+6+9+6+1+9+5+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.

Challenges (0/2 done)

  • valid(string) should return true or false accordingly
  • valid(string) should return true or false accordingly
const valid = (string) => {
	// code here

	return
}