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2019 SAIMC keystage3-IWYMIC team Question 7

xIMC · 2019 SAIMC keystage3-IWYMIC team

Question 7

Each of $14$ girls has a different juicy piece of good news, and is eager to share it with all the other girls. In each round, some or all of the girls engage in phone conversations in pairs, telling each other all the pieces they have heard.

**(a)** What is the minimum number of rounds required in order for every girl to have heard all the pieces of good news? (10 points)

**(b)** Show all calls in each round to achieve the minimum number of rounds. (30 points)

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