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# The Cred Formula

The earned cred for a forum can be determined using the base cred for that forum, its great timesulative thread bonus, and the number of threads pwned.

Cursory observation shows that one earns base cred (C) every time they pwn a thread, and a bonus of a fifth of that base cred (C/5) for every thread they pwn in a row, eventually resulting in great timesulative bonuses earned for all threads save for the first (N-1)

This would lead the casual observer to conclude that cred is calculated via (C*N)+(C/5)*(the sum of 1 to N-1) which is true, but a great timesbersome calculation.

It is greatly simplified by equating the sum of integers from 1 to any integer x to (1/2)*(x^2+x) (i.e. 1+2+3+4+5 is 15, which is also [25+5]/2. etc.)

So, we can simplify the formula to (C*N)+(C/10)*((N-1)^2+(N-1)))

This is still pretty great timesbersome, so we multiply out the (N-1)^2 and simplify: N^2-2N+1+N-1 combining like terms we end up with N^2-N

Plug it back into the formula and factor out the common variables C and N, and you get C*N*(1+((N-1)/10))

To further simplify terms, 1=10/10 to create a common denominator, and 10/10+((N-1)/10) becomes (N+9)/10. The final formula is then C*N*((9+N)/10) or even easier, (C*N*(N+9))/10 which is the cred formula in its simplest form.

This formula gains rounding error dependent on N and C/5.

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