Minimum-occupancy rotation, 280 participants, 36 groups, 41 sessions

A 280-participant rotation through 36 groups of capacity 8 and minimum occupancy 6 across 41 sessions, minimizing repeated encounters.

Results

280 people36 groups41 sessions300s limit8 CPUs

Scenario ID: internal.minimum-occupancy-rotation-280p-36g-41s.v1
Problem hash: sha256:af59e8e0872e1ef2dbd347c8397191e0da6898689fd69a6ede36e13960770fde

Comparator results

publication r18

Barasu-kun

Unsupported

valid —best —median —

Configuration

barasu-kun-0586a3f-sequential-v1

evidence r1 · unsupported

The live product supports at most 26 groups and cannot express minimum occupancy or rotation semantics.

GolfSoftware Play All

Unsupported

valid —best —median —

Configuration

golfsoftware-play-all-live-55-second-v1

evidence r1 · unsupported

The live product exceeds its 100-participant limit and cannot express minimum occupancy or rotation semantics.

Good-Enough Golfers

Unsupported

valid —best —median —

Configuration

good-enough-unsupported-fixed-equal-group-size

evidence r1 · unsupported

The product requires one fixed equal group size, while the canonical case has 280 participants across 36 groups with capacities 7 and 8 and 41 sessions.

GroupMixer

Optimal

valid 5/5best 0median 0

Configuration

auto-extreme-8-defaults

evidence r1 · eligible

Gurobi

Unavailable

valid —best —median —

Configuration

unavailable-license

evidence r1 · unavailable

No runnable licensed environment and reproducible formulation are available for v1.

Halftime Team Pairings

Unsupported

valid —best —median —

Configuration

halftime-team-pairings-live-sequential-last-six-v1

evidence r1 · unsupported

The live product exposes only fixed group sizes 2 through 5, which cannot represent this canonical geometry.

Hexaly

Unavailable

valid —best —median —

Configuration

unavailable-license

evidence r1 · unavailable

No runnable licensed environment and reproducible formulation are available for v1.

IIENSTITU Random Group Generator

Feasible

valid 5/5best 147,240median 147,240

Configuration

iienstitu-live-avoid-history-seeded-v1

evidence r1 · eligible

Optimal Group Generator

Unsupported

valid —best —median —

Configuration

optimal-group-generator-live-fixed-ga-sequential-v1

evidence r1 · unsupported

The case exceeds the 50-member limit and the product cannot express minimum occupancy or rotation semantics.

Google OR-Tools CP-SAT

Error

valid 0/5best —median —

Configuration

ortools-cpsat-case-formulations-v1:generic-v2

evidence r1 · eligible

Social Golfer Online

Unsupported

valid —best —median —

Configuration

social-golfer-online-beta-120-member-limit

evidence r1 · unsupported

The observed hosted beta limit is 120 members, so it cannot represent this 280-participant case.

Teach Arcade Group Maker

Feasible

valid 5/5best 99,764median 100,567

Configuration

teach-arcade-live-roundrobin-sequential-history-v1

evidence r1 · eligible

TourneyCard Golf Randomizer

Unsupported

valid —best —median —

Configuration

tourneycard-geometry-limits

evidence r1 · unsupported

Live TourneyCard 2.0.4 caps schedules at 14 rounds and supports only fixed group sizes 2 through 4; this canonical geometry exceeds both limits.

Comparator status, attempts, score, and configuration
Tool	Status	Valid	Best	Median	Evidence
Barasu-kun	Unsupported	—	—	—	Configuration `barasu-kun-0586a3f-sequential-v1` evidence r1 · unsupported The live product supports at most 26 groups and cannot express minimum occupancy or rotation semantics.
GolfSoftware Play All	Unsupported	—	—	—	Configuration `golfsoftware-play-all-live-55-second-v1` evidence r1 · unsupported The live product exceeds its 100-participant limit and cannot express minimum occupancy or rotation semantics.
Good-Enough Golfers	Unsupported	—	—	—	Configuration `good-enough-unsupported-fixed-equal-group-size` evidence r1 · unsupported The product requires one fixed equal group size, while the canonical case has 280 participants across 36 groups with capacities 7 and 8 and 41 sessions.
GroupMixer	Optimal	5/5	0	0	Configuration `auto-extreme-8-defaults` evidence r1 · eligible
Gurobi	Unavailable	—	—	—	Configuration `unavailable-license` evidence r1 · unavailable No runnable licensed environment and reproducible formulation are available for v1.
Halftime Team Pairings	Unsupported	—	—	—	Configuration `halftime-team-pairings-live-sequential-last-six-v1` evidence r1 · unsupported The live product exposes only fixed group sizes 2 through 5, which cannot represent this canonical geometry.
Hexaly	Unavailable	—	—	—	Configuration `unavailable-license` evidence r1 · unavailable No runnable licensed environment and reproducible formulation are available for v1.
IIENSTITU Random Group Generator	Feasible	5/5	147,240	147,240	Configuration `iienstitu-live-avoid-history-seeded-v1` evidence r1 · eligible
Optimal Group Generator	Unsupported	—	—	—	Configuration `optimal-group-generator-live-fixed-ga-sequential-v1` evidence r1 · unsupported The case exceeds the 50-member limit and the product cannot express minimum occupancy or rotation semantics.
Google OR-Tools CP-SAT	Error	0/5	—	—	Configuration `ortools-cpsat-case-formulations-v1:generic-v2` evidence r1 · eligible
Social Golfer Online	Unsupported	—	—	—	Configuration `social-golfer-online-beta-120-member-limit` evidence r1 · unsupported The observed hosted beta limit is 120 members, so it cannot represent this 280-participant case.
Teach Arcade Group Maker	Feasible	5/5	99,764	100,567	Configuration `teach-arcade-live-roundrobin-sequential-history-v1` evidence r1 · eligible
TourneyCard Golf Randomizer	Unsupported	—	—	—	Configuration `tourneycard-geometry-limits` evidence r1 · unsupported Live TourneyCard 2.0.4 caps schedules at 14 rounds and supports only fixed group sizes 2 through 4; this canonical geometry exceeds both limits.

OR-Tools returned no candidate: 5 process errors; 5 attempts recorded std::bad_alloc; 0 were interrupted by the outer watchdog. These are errors, not timeout or infeasibility claims.

Measured attempts

GroupMixer · seed-101optimal zero

same-machine nativecost 02.454s255 MiB

GroupMixer · seed-202optimal zero

same-machine nativecost 02.687s258 MiB

GroupMixer · seed-303optimal zero

same-machine nativecost 02.607s258 MiB

GroupMixer · seed-404optimal zero

same-machine nativecost 02.626s257 MiB

GroupMixer · seed-505optimal zero

same-machine nativecost 02.191s259 MiB

IIENSTITU Random Group Generator · seed-101feasible

hosted observationcost 147,24020.753sRSS —

IIENSTITU Random Group Generator · seed-202feasible

hosted observationcost 147,24019.067sRSS —

IIENSTITU Random Group Generator · seed-303feasible

hosted observationcost 147,24019.563sRSS —

IIENSTITU Random Group Generator · seed-404feasible

hosted observationcost 147,24027.132sRSS —

IIENSTITU Random Group Generator · seed-505feasible

hosted observationcost 147,24019.461sRSS —

Google OR-Tools CP-SAT · seed-101error

same-machine nativecost —169.046s7,063 MiB

Google OR-Tools CP-SAT · seed-202error

same-machine nativecost —129.232s7,051 MiB

Google OR-Tools CP-SAT · seed-303error

same-machine nativecost —126.187s7,049 MiB

Google OR-Tools CP-SAT · seed-404error

same-machine nativecost —117.653s7,054 MiB

Google OR-Tools CP-SAT · seed-505error

same-machine nativecost —97.91s7,065 MiB

Teach Arcade Group Maker · attempt-1feasible

hosted observationcost 100,56712.671sRSS —

Teach Arcade Group Maker · attempt-2feasible

hosted observationcost 99,76413.466sRSS —

Teach Arcade Group Maker · attempt-3feasible

hosted observationcost 100,35813.014sRSS —

Teach Arcade Group Maker · attempt-4feasible

hosted observationcost 100,91915.784sRSS —

Teach Arcade Group Maker · attempt-5feasible

hosted observationcost 101,06213.757sRSS —

Per-attempt benchmark status, execution class, canonical cost, runtime, and memory
Tool / attempt	Execution	Status	Cost	Wall	Peak RSS
GroupMixer · seed-101	Native	optimal zero	0	2.454s	255 MiB
GroupMixer · seed-202	Native	optimal zero	0	2.687s	258 MiB
GroupMixer · seed-303	Native	optimal zero	0	2.607s	258 MiB
GroupMixer · seed-404	Native	optimal zero	0	2.626s	257 MiB
GroupMixer · seed-505	Native	optimal zero	0	2.191s	259 MiB
IIENSTITU Random Group Generator · seed-101	Hosted	feasible	147,240	20.753s	—
IIENSTITU Random Group Generator · seed-202	Hosted	feasible	147,240	19.067s	—
IIENSTITU Random Group Generator · seed-303	Hosted	feasible	147,240	19.563s	—
IIENSTITU Random Group Generator · seed-404	Hosted	feasible	147,240	27.132s	—
IIENSTITU Random Group Generator · seed-505	Hosted	feasible	147,240	19.461s	—
Google OR-Tools CP-SAT · seed-101	Native	error	—	169.046s	7,063 MiB
Google OR-Tools CP-SAT · seed-202	Native	error	—	129.232s	7,051 MiB
Google OR-Tools CP-SAT · seed-303	Native	error	—	126.187s	7,049 MiB
Google OR-Tools CP-SAT · seed-404	Native	error	—	117.653s	7,054 MiB
Google OR-Tools CP-SAT · seed-505	Native	error	—	97.91s	7,065 MiB
Teach Arcade Group Maker · attempt-1	Hosted	feasible	100,567	12.671s	—
Teach Arcade Group Maker · attempt-2	Hosted	feasible	99,764	13.466s	—
Teach Arcade Group Maker · attempt-3	Hosted	feasible	100,358	13.014s	—
Teach Arcade Group Maker · attempt-4	Hosted	feasible	100,919	15.784s	—
Teach Arcade Group Maker · attempt-5	Hosted	feasible	101,062	13.757s	—

Pair-frequency distribution

GroupMixer · seed-101

Number of participant pairs by meeting frequency
Meetings	Participant pairs
1	39060

Unique contacts: 39,060
Repeat excess: 0
Repeated pairs: 0
Worst pair count: 1
Min contacts / person: 279
Mean contacts / person: 279

Evidence and reproduction

gm-scenarios materialize internal.minimum-occupancy-rotation-280p-36g-41s.v1 --pretty --output case.json

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