human
Solve the following python programming problem given the following code:
# First we write our timer function
import time
def timer(f):
    def inner(*args):
        t0 = time.time()
        output = f(*args)
        elapsed = time.time() - t0
        print("Time Elapsed", elapsed)
        return output
    return inner

import cmath
def my_ave(area_list):
    return myave(area_list)
   

import cmath
def np_ave(area_np):
    return myave(area_np)

import numpy as np
def mywave(radius):
    return (float(radius)*float(radius)*3.14)
def myave(area_list):
    total_area=0
    num_area=0
    for area in area_list:
        total_area+=area_list[num_area]
        num_area+=1
    return (total_area/num_area)

with open("circles.txt","r") as f:
    circles_text=f.read().split()

area_list=[0.0]*len(circles_text)
area_np=np.zeros(len(circles_text))
num_radius=0
for radius in circles_text:
    area_list[num_radius]=mywave(circles_text[num_radius])
    area_np[num_radius]=mywave(circles_text[num_radius])
    num_radius+=1
print(my_ave(area_list))
print(np_ave(area_np))

timer1=timer(my_ave)
timer2=timer(np_ave)
print(timer1(area_list))
print(timer1(area_np))
Given the above code, generate some markdown instructions for it.
assistant
#Here is the Python code you requested.

Problem 3
Let's return to the data from Problem 1.  Write two functions: 1.) The first function should return the average circle radius (you can re-use the one you already wrote if you'd like, but you might need to update it slightly for this problem) and 2.) The second function should just use numpy to compute the average.
Write a decorator to time the evaluation of each function.  You can use the timing decorator from lecture.
Notes and Hints

Be fair!
To be as fair as possible, do the following:
Create an areas list/array outside of your averaging functions.  This means that you should do a loop over the radii you read in from circles.txt, compute the area from each point, and store that area in an array.  Do you know why this is more fair?  Also, try to not use append.  Instead, preallocate space for your area list/array.
Your my_ave function should accept your areas data as a list.  Remember, to allocate a list you should do [0.0]*N: if you use such a construct your list will will be filled in with zeros.
Your np_ave function should accept your areas data as a numpy array.  To allocate a numpy array do areas_np = np.zeros(len(radii)).
Now both functions are using the best data types possible for their tasks.