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The PCTM Puzzle of the Week - Solutions

In the first inning the home team hit a
 grand slam. 
**Home 4 in 1st inning

After that the visiting team scored two
 runs in each even numbered inning. 
**Visitors 2 in innings 2, 4, 6, 8                   

They also scored 2 runs more than the
home team in each inning named by a 
perfect square.
** perfect squares are 1, 4,  9
   visitors scored 6 in 1st inning, 2 in 4th
    and 9th

Meanwhile, the home team scored a 
different prime number of runs in each 
inning named by a prime number. 
** prime numbers are 2, 3, 5, 7, ...
   so the home team must have scored
   2, 3, 5, and 7 points in those innings

No other runs were scored. Can you tell 
which team won the baseball game and 
the score? 

The total scores would be
Visitors 6+2+0+2+0+2+0+2+2=16
Home  4+2+3+0+5+0+7+0+0=21

The home team wins 

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