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1. Everyone has at least 6 medals of each – gold, silver, bronze
2. France has 7 gold which is the fewest of anyone therefore Italy and Japan have at least 8
3. Japan has 1 more gold than Italy
4. France has 18 bronze which is the most
5. Italy has 2 more bronze than gold
6. Japan has 3 fewer silver than Italy meaning Italy has at least 9
7. Italy has 27 total medals
8. France has (2(Italy gold)) silver medals
Italy 27 total
gold 6+2=8 silver 6+3=9 bronze 6+2+2=10
France 31 total
gold 7 silver 2(Italy gold)=16 bronze 18
Japan 21 total
gold 6+2+1=9 silver 6 bronze 6