Problems › TypeScript › games
Count tournament rounds
A single-elimination tournament keeps halving the field until one champion remains. How many rounds does that take?
- Each round pairs up as many teams as possible; odd teams get a bye.
- The number of teams per round is ceil(teams / 2).
- One team or fewer needs zero rounds.
tournamentRounds(teams: int) → int
Where you start
function tournamentRounds(teams: number): number {
}Worked examples
| Call | Result |
|---|---|
tournamentRounds(1) | 0 |
tournamentRounds(2) | 1 |
tournamentRounds(4) | 2 |
tournamentRounds(5) | 3 |
Hint
Repeatedly halve (rounding up) and count until one remains.
Reference solution in TypeScript
function tournamentRounds(teams: number): number {
if (teams <= 1) return 0;
let rounds = 0;
let t = teams;
while (t > 1) { t = Math.floor((t + 1) / 2); rounds++; }
return rounds;
}