Given a tournament where each team plays a single match between two teams, and each team has a batting rating (X) and a bowling rating (Y), the match rating is calculated as (X1+X2)/(Y1+Y2). The tournament rating is the minimum match rating. Write an algorithm to find the maximum possible tournament rating.

Question

Accepted Answer

Maximize tournament rating by optimizing team matchups based on batting and bowling ratings.

Calculate match rating for each pair of teams using (X1+X2)/(Y1+Y2).
To maximize the tournament rating, minimize the denominator (Y1+Y2).
Example: Teams A (X=10, Y=5) and B (X=8, Y=3) yield a match rating of (10+8)/(5+3) = 18/8 = 2.25.
Consider all possible pairings and select the one with the highest minimum match rating.
Use sorting or priority queues to efficiently find optimal matchups.

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