Case 1: There are 8 ways to win.

Case 2: There are 49 ways to win.

Case 3: There are 22 ways to win.

Case 4: There are 42 ways to win.

Case 5: There are 202 ways to win.

Case 6: There are 364 ways to win.

Case 7: There are 1324 ways to win.

Case 8: There are 30604 ways to win.

Case 9: There are 520 ways to win.

Case 10: There are 6841 ways to win.

Case 11: There are 107744 ways to win.

Case 12: There are 1979713 ways to win.

Case 13: There are 41611392 ways to win.

Case 14: There are 985263601 ways to win.

Case 15: There are 192032 ways to win.