Question 1182758
Suppose there are two players A and B, and assume that A has won the game. 


It is quite apparent that the maximum number of rounds the game could have taken was 11, with A winning 6 of those rounds and B winning the other five, with A 
winning the 11th and final round. To maximize the value of L-W, we determine the scenario where A has won by the slimmest of margins, i.e., 4 - 3 (in 6 games), and 
lost by the widest of margins, i.e., 0 - 4 (in 5 games).  


The largest value of L-W would then be 6*3 + 5*4 - (6*4 + 5*0) = 18 + 20 - 24 = 14.