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Strikes and Spares

Two bowlers play a game against each other. The first player rolls a strike in the first frame, a spare in the second frame, and then alternately throws strikes and spares the rest of the game. The second player doesn’t throw a single strike. The first player wins, of course, but what is the smallest possible margin of victory under these circumstances?

This brainteaser was written by Derrick Niederman. 

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