33

Part of 2013 Harvard-MIT Mathematics Tournament

Problems(1)

2013 HMMT Guts #33: Sums of Powers

Source:

Compute the value of

1^{25}+2^{24}+3^{23}+\ldots+24^2+25^1

. If your answer is

A

and the correct answer is

C

, then your score on this problem will be

\left\lfloor25\min\left(\left(\frac AC\right)^2,\left(\frac CA\right)^2\right)\right\rfloor