For this task, you're going to play a dice game, but first you must prepare for an overwhelming victory. The game itself is very simple. Both players roll a single die and whoever rolls highest scores a point. (On a tie, both players must reroll until someone scores.)

These aren't standard dice however. Each player can put any positive number on any side of the die as long as the number of sides match and the total of all the chosen numbers are the same. For example, one player might use a six sided die with the numbers [3, 3, 3, 3, 6, 6] while the other player uses a six sided die with the numbers [4, 4, 4, 4, 4, 4]. The interesting part of this game is that even with the same number of sides and the same total, different dice have different chances of winning. Using the example die, the player with all 4's will win 2/3 of...