# 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)