Have you solved the previous problem yet, my friend? As a kid, little Tom has no much patience at all. He turns to play something which is more interesting. Actually he is inventing his own 'Bloxorz' game. Without such many rules and constraints, the new 'Bloxorz' game, which is invented by little Tom, has an infinite plane with all of its cells being rigid cells. (What? Don't know rigid cells? Go to 'Bloxorz I' for more information.)

With the target cell stably located cell (0,0), your task is to tell little Tom what is the minimum number of moves for the box from the given initial cell to the target cell in this infinite plane.