Instead, a roll is scored as follows:
Mia ($12$ or $21$) is always highest.
Next come doubles ($11$, $22$, and so on). Ties are broken by value, with $66$ being highest.
All remaining rolls are sorted such that the highest number comes first, which results in a two-digit number. The value of the roll is the value of that number, e.g. $3$ and $4$ becomes $43$.
The input will contain multiple, distinct test cases. Each test case contains on a single line four integers $s_0 \ s_1 \ r_0 \ r_1$ where $s_0 \ s_1$ represent the dice rolled by player $1$ and $r_0 \ r_1$ represents the dice rolled by player $2$. The input will be terminated by a line containing $4$ zeros.
For each test case, output which player won, or whether there was a tie, using exactly the format shown below.
Sample Input 1 | Sample Output 1 |
---|---|
1 2 1 3 3 3 2 1 6 6 4 4 6 5 1 1 4 2 2 4 0 0 0 0 |
Player 1 wins. Player 2 wins. Player 1 wins. Player 2 wins. Tie. |