What is the Big$-\backslash$Theta $($tight bound$)$ of the func$()$ below as a function of n assuming that the

func$1($n$)$ is Big$-\backslash$Theta $($n$)?$ Prove your answer.

Algorithm $1$

def func$($n$)$:

j $=$ n

while j $>=1$:

for i in range$($j$)$:

val $=$ func$1($n$)$

j $=$ j$//3$