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IMC 2023 Grade 4 — ROUND 1 Question 9

IMC · IMC 2023 Grade 4 — ROUND 1

Question 9

A knockout boxing tournament was held. There were 114 participants and so there were 57 fights in the first round of the tournament, in this round 57 boxers lost and were eliminated. In the second round, the remaining 57 fighters were paired, resulting in 28 matches; a boxer who is not paired is given a chance to advance to the next round without having to compete. The remaining 29 fighters after that round were paired again, and so on. How many matches in all tournaments are held to determine the champion of the tournament?