Examples
Examples
Try the starting example
- Players in idealized field
- 16
- Desired maximum idealized undefeated count
- 1
- Idealized halving rounds needed
- 4
- Idealized undefeated players after those rounds
- 1
- Idealized record-count distribution by wins
- 0: 1; 1: 4; 2: 6; 3: 4; 4: 1
Try another scenario
- Players in idealized field
- 16
- Desired maximum idealized undefeated count
- 2
- Idealized halving rounds needed
- 3
- Idealized undefeated players after those rounds
- 2
- Idealized record-count distribution by wins
- 0: 2; 1: 6; 2: 6; 3: 2
Calculation method
Calculation method
Idealized halving rounds needed
Smallest r with players/2^r≤supplied undefeated target, using exact integer comparisons.
Idealized undefeated players after those rounds
Players/2^r under perfect same-record halving without draws or byes.
Idealized record-count distribution by wins
Players×choose(r,wins)/2^r; fractions are expected/idealized field counts, not an actual pairing schedule.
Symbols and units
- a
- Players in idealized field
- b
- Desired maximum idealized undefeated count
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- A no-draw/no-bye idealized halving worksheet, not an actual Swiss-system pairing, tiebreak, elimination or tournament-regulation engine. Real fields and same-record pairings may not realize these fractional counts.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.
Further reading
Background reading; this does not imply endorsement or independent review of SumFizz.