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g1601_1700.s1688_count_of_matches_in_tournament.readme.md Maven / Gradle / Ivy

1688\. Count of Matches in Tournament

Easy

You are given an integer `n`, the number of teams in a tournament that has strange rules:

*   If the current number of teams is **even**, each team gets paired with another team. A total of `n / 2` matches are played, and `n / 2` teams advance to the next round.
*   If the current number of teams is **odd**, one team randomly advances in the tournament, and the rest gets paired. A total of `(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._

**Example 1:**

**Input:** n = 7

**Output:** 6

**Explanation:** Details of the tournament:

- 1st Round: Teams = 7, Matches = 3, and 4 teams advance.

- 2nd Round: Teams = 4, Matches = 2, and 2 teams advance.

- 3rd Round: Teams = 2, Matches = 1, and 1 team is declared the winner.

Total number of matches = 3 + 2 + 1 = 6.

**Example 2:**

**Input:** n = 14

**Output:** 13

**Explanation:** Details of the tournament:

- 1st Round: Teams = 14, Matches = 7, and 7 teams advance.

- 2nd Round: Teams = 7, Matches = 3, and 4 teams advance.

- 3rd Round: Teams = 4, Matches = 2, and 2 teams advance.

- 4th Round: Teams = 2, Matches = 1, and 1 team is declared the winner.

Total number of matches = 7 + 3 + 2 + 1 = 13.

**Constraints:**

*   `1 <= n <= 200`