Round Robin Exact Schedule Map

Rows and columns

Rows are group size G; columns are participant count N. A green cell means N % G = 0 and (N − 1) % (G − 1) = 0.

What green means

Green is the equal-size full-round-robin target: R = (N − 1) / (G − 1) rounds. For example, N=16 and G=4 needs 5 rounds.

What green does not guarantee

These arithmetic checks are necessary. Extra constraints, fixed hosts, balancing goals, or finite design exceptions can still require GroupMixer's best-effort optimizer.

Group size G / People N	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28	29	30	31	32	33	34	35	36	37	38	39	40	41	42	43	44	45	46	47	48	49	50	51	52	53	54	55	56	57	58	59	60	61	62	63	64	65	66	67	68	69	70	71	72	73	74	75	76	77	78	79	80
2	1rounds	×	3rounds	×	5rounds	×	7rounds	×	9rounds	×	11rounds	×	13rounds	×	15rounds	×	17rounds	×	19rounds	×	21rounds	×	23rounds	×	25rounds	×	27rounds	×	29rounds	×	31rounds	×	33rounds	×	35rounds	×	37rounds	×	39rounds	×	41rounds	×	43rounds	×	45rounds	×	47rounds	×	49rounds	×	51rounds	×	53rounds	×	55rounds	×	57rounds	×	59rounds	×	61rounds	×	63rounds	×	65rounds	×	67rounds	×	69rounds	×	71rounds	×	73rounds	×	75rounds	×	77rounds	×	79rounds
3	–	1rounds	×	×	2max	×	×	4rounds	×	×	5max	×	×	7rounds	×	×	8max	×	×	10rounds	×	×	11max	×	×	13rounds	×	×	14max	×	×	16rounds	×	×	17max	×	×	19rounds	×	×	20max	×	×	22rounds	×	×	23max	×	×	25rounds	×	×	26max	×	×	28rounds	×	×	29max	×	×	31rounds	×	×	32max	×	×	34rounds	×	×	35max	×	×	37rounds	×	×	38max	×	×
4	–	–	1rounds	×	×	×	2max	×	×	×	3max	×	×	×	5rounds	×	×	×	6max	×	×	×	7max	×	×	×	9rounds	×	×	×	10max	×	×	×	11max	×	×	×	13rounds	×	×	×	14max	×	×	×	15max	×	×	×	17rounds	×	×	×	18max	×	×	×	19max	×	×	×	21rounds	×	×	×	22max	×	×	×	23max	×	×	×	25rounds	×	×	×	26max
5	–	–	–	1rounds	×	×	×	×	2max	×	×	×	×	3max	×	×	×	×	4max	×	×	×	×	6rounds	×	×	×	×	7max	×	×	×	×	8max	×	×	×	×	9max	×	×	×	×	11rounds	×	×	×	×	12max	×	×	×	×	13max	×	×	×	×	14max	×	×	×	×	16rounds	×	×	×	×	17max	×	×	×	×	18max	×	×	×	×	19max
6	–	–	–	–	1rounds	×	×	×	×	×	2max	×	×	×	×	×	3max	×	×	×	×	×	4max	×	×	×	×	×	5max	×	×	×	×	×	7rounds	×	×	×	×	×	8max	×	×	×	×	×	9max	×	×	×	×	×	10max	×	×	×	×	×	11max	×	×	×	×	×	13rounds	×	×	×	×	×	14max	×	×	×	×	×	15max	×	×
7	–	–	–	–	–	1rounds	×	×	×	×	×	×	2max	×	×	×	×	×	×	3max	×	×	×	×	×	×	4max	×	×	×	×	×	×	5max	×	×	×	×	×	×	6max	×	×	×	×	×	×	8rounds	×	×	×	×	×	×	9max	×	×	×	×	×	×	10max	×	×	×	×	×	×	11max	×	×	×	×	×	×	12max	×	×	×
8	–	–	–	–	–	–	1rounds	×	×	×	×	×	×	×	2max	×	×	×	×	×	×	×	3max	×	×	×	×	×	×	×	4max	×	×	×	×	×	×	×	5max	×	×	×	×	×	×	×	6max	×	×	×	×	×	×	×	7max	×	×	×	×	×	×	×	9rounds	×	×	×	×	×	×	×	10max	×	×	×	×	×	×	×	11max
9	–	–	–	–	–	–	–	1rounds	×	×	×	×	×	×	×	×	2max	×	×	×	×	×	×	×	×	3max	×	×	×	×	×	×	×	×	4max	×	×	×	×	×	×	×	×	5max	×	×	×	×	×	×	×	×	6max	×	×	×	×	×	×	×	×	7max	×	×	×	×	×	×	×	×	8max	×	×	×	×	×	×	×	×
10	–	–	–	–	–	–	–	–	1rounds	×	×	×	×	×	×	×	×	×	2max	×	×	×	×	×	×	×	×	×	3max	×	×	×	×	×	×	×	×	×	4max	×	×	×	×	×	×	×	×	×	5max	×	×	×	×	×	×	×	×	×	6max	×	×	×	×	×	×	×	×	×	7max	×	×	×	×	×	×	×	×	×	8max
11	–	–	–	–	–	–	–	–	–	1rounds	×	×	×	×	×	×	×	×	×	×	2max	×	×	×	×	×	×	×	×	×	×	3max	×	×	×	×	×	×	×	×	×	×	4max	×	×	×	×	×	×	×	×	×	×	5max	×	×	×	×	×	×	×	×	×	×	6max	×	×	×	×	×	×	×	×	×	×	7max	×	×	×
12	–	–	–	–	–	–	–	–	–	–	1rounds	×	×	×	×	×	×	×	×	×	×	×	2max	×	×	×	×	×	×	×	×	×	×	×	3max	×	×	×	×	×	×	×	×	×	×	×	4max	×	×	×	×	×	×	×	×	×	×	×	5max	×	×	×	×	×	×	×	×	×	×	×	6max	×	×	×	×	×	×	×	×

For broader zero-repeat benchmark evidence, see the Repeat-Free Schedule Coverage report. For cases outside green cells, GroupMixer can still generate best-effort schedules that minimize and spread repeated pairings.