How many Transformations?

Algebra Level 5

Let NN be a positive integer that satisfies

(2014)N(21)=(xy).\left(\begin{array}{cc}2 & 0 \\ 1 & 4\end{array}\right)^N\cdot \dbinom{2}{1}=\dbinom{x}{y}.

Find the largest possible value of NN such that

log2(xy)1000.\log_2(xy) \le 1000.

×

Problem Loading...

Note Loading...

Set Loading...