Bowling Strategy

In a cricket game, an *over* is a set of six valid deliveries of balls performed by one player ― the *bowler* for this over. Consider a cricket game with a series of $N$ overs (numbered $1$ through $N$) played by $K$ players (numbered $1$ through $K$). Each player may be the bowler for at most $L$ overs in total, but the same player may not be the bowler for any two consecutive overs. Assign exac