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HKIMO 2019 Grade 9 National Final (Heat) Set 02 Question 3

HKIMO · HKIMO 2019 Grade 9 National Final (Heat) Set 02

Question 3

There are 155 balls. Peter and Mary alternately take 3 to 10 balls; whoever takes the last ball wins. Peter moves first and may add balls before play. What is the minimum addition guaranteeing his victory?