#!/usr/bin/env python3

from blist import blist

def destination(c, out):
    while True:
        if c-1>0 and c-1 not in out:
            return c-1, order.index(c-1)
        else:
            if c>1:
                c = c-1
            else:
                c = highest+1
        

def move(order):
    rem = order
    a = rem.pop(1)
    b = rem.pop(1)
    c = rem.pop(1)

    _, dest = destination(order[0], [a,b,c])
    
    rem.insert(dest+1, a)
    rem.insert(dest+2, b)
    rem.insert(dest+3, c)

if __name__ == "__main__":
    #test_order = [3,8,9,1,2,5,4,6,7]
    order = blist([1,9,8,7,5,3,4,6,2])
    for x in range(10,1000001):
        order.append(x)
    current_index = 0
    lowest = min(order)
    highest = 1000000
    #highest = max(order)
    for i in range(10000000):
        print(i)
        move(order)
        current_index += 1
        last = order.pop(0)
        order.append(last)

    order = order[order.index(1):] + order[:order.index(1)]
    print(order)
    print(order[1]*order[2])