def power$($b$,$ x$)$:

if x $==0$:

return $1$

return b$*$power$($b$,$ x$-1)$

def betterPower$1($b$,$ x$)$:

if x $==0$:

return $1$

if x$\%2==0$:

return betterPower$1($b$,$ x$//2)*$ betterPower$1($b$,$ x$//2)$

else:

return b $*$ betterPower$1($b$,$ x$//2)*$ betterPower$1($b$,$ x$//2)$ The betterPower$1$ function is an improvement over the O$($n$)$ power function.

The recurrence relation of betterPower$1$ can be expressed by T$($n$)=$ k $+$ T$($n$/2)+$ T$($n$/2)$

The betterPower$1$ function has the time complexity of O$(2$n$).$

All of the above

None of the above