# idx_permu.py

# idx_permu.py

import math

def idx_permu(idx, length=8):
    elements = list(range(length))
    result = []

    for i in range(length - 1, -1, -1):
        facto = math.factorial(i)
        pos = idx // facto
        result.append(elements.pop(pos))
        idx %= facto

    return result

length = 6
facto = math.factorial(length)
i = step = int(facto * 0.7)

stop = []
j = 1
while 1:
    result = idx_permu(i, length)
    if result in stop:
        break
    print(result, j)
    stop += [result[:]]
    i = (i + step) % facto
    j += 1
print(facto)