java.lang.Object
g1601_1700.s1688_count_of_matches_in_tournament.Solution

public class Solution extends java.lang.Object
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
  • Constructor Summary

    Constructors
    Constructor
    Description
     
  • Method Summary

    Modifier and Type
    Method
    Description
    int
     

    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
  • Constructor Details

    • Solution

      public Solution()
  • Method Details

    • numberOfMatches

      public int numberOfMatches(int n)