THE FULL AUDIT

Every setup we measured

The same dealer that runs a live night, driven through 200 simulated nights for every row. Each figure twice: the same group all night, and people arriving late and leaving early. The Mixer and King of the Court count 12 rounds, one game each. Forge counts 8 rounds of several games each. The rows where it gets hard are here too.

A new partner every game, as many as the maths allows.

Different people in 12 rounds

CourtsPlayersPartners metsame group all nightPartners metpeople coming and goingOpponents metsame group all nightOpponents metpeople coming and goingGames eachsame group all night
1 court4all 3—all 3—12
1 court5all 43.8 of 3.9all 43.9 of 49.6
1 court6all 54.7 of 4.9all 54.9 of 58
1 court75.4 of 65.2 of 5.75.9 of 65.7 of 66.9
1 court94.8 of 5.34.7 of 5.35.5 of 85.6 of 7.65.3
1 court123.9 of 43.8 of 45.6 of 85.4 of 7.84
2 courts8all 75.7 of 6.3all 76.5 of 6.912
2 courts9all 86.5 of 7.1all 87.5 of 7.910.7
2 courts108.9 of 97.9 of 8.38.9 of 98.6 of 99.6
2 courts118.6 of 8.78 of 8.69.7 of 109.3 of 9.98.7
2 courts13all 7.47.3 of 7.410.8 of 1210.1 of 11.47.4
2 courts16all 6all 67 of 1210.2 of 11.86
3 courts12all 118 of 8.4all 119.9 of 10.812
3 courts1311 of 11.18.3 of 8.6all 1210.9 of 11.711.1
3 courts14all 10.38.6 of 8.7all 1311.8 of 12.610.3
3 courts15all 9.6all 9.513.8 of 1412.9 of 13.79.6
3 courts17all 8.5all 8.514.7 of 1613.7 of 14.88.5
3 courts20all 7.2all 7.213.8 of 14.413.5 of 14.47.2
4 courts16all 12all 9.3all 1513.6 of 14.412
4 courts17all 11.3all 9.3all 1614.4 of 15.211.3
4 courts18all 10.7all 9.416.9 of 1715.1 of 1610.7
4 courts19all 10.1all 9.717.5 of 1816 of 16.910.1
4 courts21all 9.1all 9.117.4 of 18.316.5 of 17.89.1
4 courts24all 8all 815.9 of 1615.7 of 168
6 courts24all 12all 10.222.1 of 2319 of 20.212
6 courts25all 11.5all 10.121.9 of 2319.3 of 20.311.5
6 courts26all 11.1all 10.121.6 of 22.219.5 of 20.211.1
6 courts27all 10.7all 10.421 of 21.320.2 of 20.810.7
6 courts29all 9.9all 9.919.8 of 19.919.7 of 19.99.9
6 courts32all 9all 9all 18all 189

"All 12" means the most anyone could meet in the games there were. People arriving late and leaving early do not cost you a partner on four courts or more. Small floors cannot reach the maximum: six people on one court only make so many combinations.

Same opponent two games running

CourtsPlayersSame opponent againsame group all nightSame opponent againpeople coming and going
1 court41 in 2 games—
1 court51 in 3 games1 in 2 games
1 court61 in 5 games1 in 3 games
1 court7never1 in 7 games
1 court9—1 in 11 games
1 court12—1 in 13 games
2 courts81 in 250 games1 in 10 games
2 courts91 in 30 games1 in 22 games
2 courts101 in 34 games1 in 30 games
2 courts111 in 200 games1 in 38 games
2 courts13never1 in 111 games
2 courts16—never
3 courts121 in 333 games1 in 48 games
3 courts13never1 in 125 games
3 courts14never1 in 250 games
3 courts15never1 in 1000 games
3 courts17nevernever
3 courts20nevernever
4 courts16nevernever
4 courts17nevernever
4 courts18nevernever
4 courts19nevernever
4 courts21nevernever
4 courts24nevernever
6 courts24nevernever
6 courts25nevernever
6 courts26nevernever
6 courts27nevernever
6 courts29nevernever
6 courts32nevernever

Four courts or more: never, with people coming and going or not. On one and two courts there are too few people to find fresh opponents every round. That is arithmetic, not the software. A dash means everybody sits between games, so nobody plays two in a row.

Sit-outs and waits

CourtsPlayersSit-outs apartsame group all nightSit-outs apartpeople coming and goingLongest waitsame group all nightLongest waitpeople coming and going
1 court40—none—
1 court511.51 round1 round
1 court601.81 round1 round
1 court712.11 round2 rounds
1 court912.84 rounds5 rounds
1 court1203.94 rounds7 rounds
2 courts802.4none3 rounds
2 courts912.61 round3 rounds
2 courts1011.81 round1 round
2 courts1111.91 round1 round
2 courts1312.41 round2 rounds
2 courts1603.31 round4 rounds
3 courts1202.2none1 round
3 courts1312.31 round1 round
3 courts1412.31 round2 rounds
3 courts1511.81 round1 round
3 courts1712.11 round2 rounds
3 courts2013.11 round3 rounds
4 courts1602none1 round
4 courts1712.11 round1 round
4 courts1812.21 round1 round
4 courts1911.81 round1 round
4 courts2112.31 round1 round
4 courts2402.61 round2 rounds
6 courts2401.8none1 round
6 courts2511.81 round1 round
6 courts2611.81 round1 round
6 courts2711.81 round1 round
6 courts29121 round1 round
6 courts3202.21 round2 rounds

Sit-outs apart: how many more times the busiest player sat than the quietest over 12 rounds. With the same group all night it is only ever 0 or 1. Longest wait is the most anybody sat in a row: one round from four courts up. One court with nine or more people means most of the room sits every round; no software fixes that.

Walk-ups who sat two rounds or more

CourtsPlayersSat 2+ rounds firstpeople coming and going
1 court4—
1 court5never
1 court6never
1 court71 in 14 walk-ups
1 court91 in 3 walk-ups
1 court121 in 2 walk-ups
2 courts81 in 25 walk-ups
2 courts91 in 100 walk-ups
2 courts10never
2 courts11never
2 courts13never
2 courts161 in 4 walk-ups
3 courts12never
3 courts13never
3 courts14never
3 courts15never
3 courts17never
3 courts201 in 17 walk-ups
4 courts16never
4 courts17never
4 courts18never
4 courts19never
4 courts21never
4 courts24never
6 courts24never
6 courts25never
6 courts26never
6 courts27never
6 courts29never
6 courts32never

How often somebody arriving late missed two whole rounds before their first game. From four courts up it is never, before the director even taps "Deal the bench", which puts them into the round already running.

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