itertools combinations in tandem with looping

I have the following Python code. Because random is being used, it generates a new answer every time:

import random

import numpy as np

N = 64 # Given

T = 5 # Given

FinalLengths = []

for i in range(T):

    c = range(1, N)
    x = random.sample(c, 2) # Choose 2 random numbers between 1 and N-1
    LrgstNode = max(x)
    SmlstNode = min(x)
    RopeLengths = [SmlstNode, LrgstNode - SmlstNode, N - LrgstNode] 
    S = max(RopeLengths)
    N = S
    FinalLengths.append(S)

avgS = np.mean(FinalLengths) # Find average

print("The mean of S is {}".format(avgS))

My research has led me to possibly using itertools in order to produce all possible combinations within the range and get the avg to converge. If so, how?

Thank you.