A vampire number is a number v that is the product of two numbers x and y such that the following conditions are satisfied:
- at most one of x and y are divisible by 10;
- x and y have the same number of digits; and
- The digits in v consist of the digits of x and y (including anyrepetitions).
If these conditions are met, x and y are known as "fangs" of v. For example, 1260 is a vampire number because 1260 = 21*60, so 21 and 60 are the fangs.
Write a function that returns all the pairs of fangs for a given number. The output is a matrix in which each row is a pair; the values in the first row should be in increasing order. If it is not a vampire number, it will return empty arrays.
Example:
disp(vampire_factor(125460))
204 615
246 510
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Test 5 seems to be incorrect.
125460 and 125500 are vampire numbers.
125460 = 204*615 = 246*510.
125500 = 251*500.
You are right, @DH.
Numbers generated through randi([imin imax]) syntax includes both the end values.
I have corrected the test case.