Is it possible to represent the following discrete$-$time signal

$f[n]=cos(\frac{n}{3}+\frac{}{4})+cos(\frac{n}{2})$

as a Fourier series of the following form?

$f[n]={\displaystyle \underset{k=}{\overset{?}{}}}{a}_k{e}^{j2k\frac{n}{N}}$

Enter YES or NO:

If yes, determine the smallest value of N for which the Fourier series exists, and enter the Fourier series components $a_{-6}$ to $a_6$ in the table below.

Smallest value of N :

$\backslash$table$[[k,a_k,a_{-k}$