CASE 1: 5 1 2 1 2 3 6 3 * 4 5 6 4 7 8 7 8 * initial goal state ---------- CASE 2: 5 2 * 1 2 3 6 1 3 4 5 6 4 7 8 7 8 * initial goal state ---------- CASE 3: 1 2 3 1 2 3 * 8 7 4 5 6 6 5 4 7 8 * initial goal state