I am trying to find a efficient solution for the 3n + 1 problem on uvaonlinejudge. The code I have uses memoization using a dictionary. Can anyone suggest an improvement(s) that will help with the execution time of this code? At the moment I am getting a 'Time limit Exceeded' error when I submit the code. If anyone has a working solution to the problem please share it with me. PLEASE DON'T Mark this post as DUPLICATE, I have already seen this post and implemented the purposed improvements. All other posts related to this are either for C++ or Java. My code is as below:

import sys

def recCycleLength(n,cycLenDict):
    if n==1:
        return 1
    if n not in cycLenDict:
        if n%2==0:
            cycLen = recCycleLength(n//2, cycLenDict)
            cycLenDict[n] = cycLen + 1
            return cycLen+1
        else:
            cycLen = recCycleLength(3*n+1, cycLenDict)
            cycLenDict[n] = cycLen + 1
            return cycLen+1
    else:
        return cycLenDict[n]


def maxCycle(a, b):
    i = a
    mydict = {} 
    maxLength = 1
    while i <= b:
        m = recCycleLength(i, mydict)
        if m > maxLength:
            maxLength = m
        i = i + 1
    return maxLength


for line in sys.stdin:
    curr_line=line.split()
    num1 = int(curr_line[0])
    num2 = int(curr_line[1])
    if num1>num2:
        num1, num2 = num2, num1
    m = maxCycle(num1, num2)
    print("{} {} {}".format(num1, num2, m))