{ "data": { "question": { "questionId": "1806", "questionFrontendId": "1688", "boundTopicId": null, "title": "Count of Matches in Tournament", "titleSlug": "count-of-matches-in-tournament", "content": "
You are given an integer n
, the number of teams in a tournament that has strange rules:
n / 2
matches are played, and n / 2
teams advance to the next round.(n - 1) / 2
matches are played, and (n - 1) / 2 + 1
teams advance to the next round.Return the number of matches played in the tournament until a winner is decided.
\n\n\n
Example 1:
\n\n\nInput: n = 7\nOutput: 6\nExplanation: Details of the tournament: \n- 1st Round: Teams = 7, Matches = 3, and 4 teams advance.\n- 2nd Round: Teams = 4, Matches = 2, and 2 teams advance.\n- 3rd Round: Teams = 2, Matches = 1, and 1 team is declared the winner.\nTotal number of matches = 3 + 2 + 1 = 6.\n\n\n
Example 2:
\n\n\nInput: n = 14\nOutput: 13\nExplanation: Details of the tournament:\n- 1st Round: Teams = 14, Matches = 7, and 7 teams advance.\n- 2nd Round: Teams = 7, Matches = 3, and 4 teams advance.\n- 3rd Round: Teams = 4, Matches = 2, and 2 teams advance.\n- 4th Round: Teams = 2, Matches = 1, and 1 team is declared the winner.\nTotal number of matches = 7 + 3 + 2 + 1 = 13.\n\n\n
\n
Constraints:
\n\n1 <= n <= 200
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