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Count of Matches in Tournament

You are given an integer n, the number of teams in a tournament that has strange rules: Return the number of matches played in the tournament until a winner is decided.

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

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

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