Question 61
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 $\left\lfloor 25 \min \left(\left(\frac{A}{C}\right)^{2}, \left(\frac{C}{A}\right)^{2}\right)\right\rfloor$.