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MathNet 2020 — Math Olympiad Vault — Part 06 Question 82

Math Olympiad Vault · MathNet 2020 — Math Olympiad Vault — Part 06

Question 82

Eight children, who did not know each other, came to the dance class. To introduce them to each other, teacher decided to choose four children each minute and let them dance in a circle. During this minute, each of the children in a circle will get to know a neighbor on the left and on the right. What is the minimal number of minutes the teacher needs to make all eight children know each other?
(Arsenii Nikolaiev)