package LeetCode_1688
/**
* 1688. Count of Matches in Tournament
https://leetcode.com/problems/count-of-matches-in-tournament/
You are given an integer n, the number of teams in a tournament that has strange rules:
1. 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.
2. 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.
* */
class Solution {
/*
* solution: follow by rules, Time:O(logn), Space:O(1)
* */
fun numberOfMatches(n_: Int): Int {
var n = n_
var matches = 0
while (n != 1) {
if (n % 2 == 0) {
n /= 2
matches += n
} else {
n = (n - 1) / 2
matches += n
n += 1
}
}
return matches
}
}