1688. Count of Matches in Tournament

1688. Count of Matches in Tournament #

题目 #

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

题目大意 #

给你一个整数 n ,表示比赛中的队伍数。比赛遵循一种独特的赛制:

  • 如果当前队伍数是 偶数 ,那么每支队伍都会与另一支队伍配对。总共进行 n / 2 场比赛,且产生 n / 2 支队伍进入下一轮。
  • 如果当前队伍数为 奇数 ,那么将会随机轮空并晋级一支队伍,其余的队伍配对。总共进行 (n - 1) / 2 场比赛,且产生 (n - 1) / 2 + 1 支队伍进入下一轮。

返回在比赛中进行的配对次数,直到决出获胜队伍为止。

解题思路 #

  • 简单题,按照题目的规则模拟。
  • 这一题还有更加简洁的代码,见解法一。n 个队伍,一个冠军,需要淘汰 n-1 个队伍。每一场比赛淘汰一个队伍,因此进行了 n-1 场比赛。所以共有 n-1 个配对。

代码 #

package leetcode

// 解法一
func numberOfMatches(n int) int {
	return n - 1
}

// 解法二 模拟
func numberOfMatches1(n int) int {
	sum := 0
	for n != 1 {
		if n&1 == 0 {
			sum += n / 2
			n = n / 2
		} else {
			sum += (n - 1) / 2
			n = (n-1)/2 + 1
		}
	}
	return sum
}

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