My uncle lives a long way away and his letters always contain puzzles. His three local teams are the Ants (A), the Bees (B), and the Cats (C), who play each other once a year. My uncle claimed that the league table part way through the year looked like this: Played Won Drawn Lost Goals for Goals against A 1 0 0 1 4 2 B 2 1 1 0 2 2 C 2 1 0 1 3 1 When we complained that this is impossible, he admitted that every single number was wrong but he excused himself because every number was exactly '1 out'. Find the correct table, explaining clearly how you deduced the corrections.
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Junior Mathematical Olympiad 2017 (2017)
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