thepotential to surpass traditional computers by performing vast numbers ofcomputations simultaneously. Apart from fulfilling your requirements 3 and 4 (the function is total, so for different inputs you get different outputs and the input is "totally scrambled" according to your informal definition) it is also it's own inverse (thus implicitely fulfilling requirement.e. New math lessons, email, i am at least 16 years of age.
If you need more "security you can just increase the bit size/coupon code length (see below). Basically you can split your operation into to parts: Somehow "encrypt" your initial number n, so that two consecutive numbers yield (very) different results. This can be seen as a drawback, because it narrows down the set of valid codes in an obvious way. But this will not generate all possible 5-digit-codes: with 24 bits you can only get 16,777,216 possible values from the encryption stage, the 5 digit codes could encode 24,300,000 possible numbers, so some possible codes will never be generated. Also note, that the shown function is a total bijective function, in the sense, that every possible 6-character code (with characters out of your alphabet) will yield a unique number. More specifically, the last position of the code will never contain some characters of the alphabet. Then, the probability of some random coupon code to be valid would be 10000/2300.00001 (it would require about 50000 attempts to find a correct coupon code). For step 2 just encode the result to some base of your choice.
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