CountOfMatchesInTournament.ts

// Source : https://leetcode.com/problems/count-of-matches-in-tournament/
// Author : Francisco Tomas
// Date   : 2023-12-05

/*****************************************************************************************************
 *
 * 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
 ******************************************************************************************************/

/**
 * number -> number
 * given an integer, n, return the number of matches played in the tournament until a winner is decided

 * Stub:
 function numberOfMatches(n: number): number {return 0}

 * Tests:
 * I: n = 7 -> O: 6
 * I: n = 14 -> O: 13
 */

/**
 * Time Complexity: O(1)
 * Space Complexity: O(1)

 * Runtime: 52ms (75.00%) 
 * Memory: 41.94MB (100.00%)
 */
export function numberOfMatches(n: number): number {
  return n - 1;
}