Write the functions f$1,$ f$2,$ f$3,$ f$4,$ f$5,$ f$6$ defined below in ascending order of growth rate. That is$,$ if function h$($n$)$ immediately follows function f$($n$)$ in your list, then it should be the case that $1.\backslash ($ f$\_1($n$)=$ n$^3(\backslash$log$^2$ n$)\backslash )$

$2.\backslash ($ f$\_2($n$)=$ n$^2(\backslash$log$^3$ n$)\backslash )$

$3.\backslash ($ f$\_3($n$)=$ n$^$n $\backslash )$

$4.\backslash ($ f$\_4($n$)=$ n$^2\backslash$log$($n$^3)$

$5.\backslash ($ f$\_5($n$)=$ n$!\backslash )$

$6.\backslash ($ f$\_6($n$)=3^$n $\backslash )$