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Results

AI algorithm + weighted random selection

Weighted random

	total	cat1	cat2	cat3	cat4	cat5	cat6
1st	174	161	13	0	0	0	0
2nd	169	158	11	0	0	0	0
3rd	136	128	8	0	0	0	0
4th	116	106	10	0	0	0	0
5th	85	77	8	0	0	0	0
6th	86	78	8	0	0	0	0
7th	70	65	5	0	0	0	0
8th	36	31	5	0	0	0	0
9th	31	25	6	0	0	0	0
10th	25	23	2	0	0	0	0
11th	29	28	1	0	0	0	0
12th	18	17	1	0	0	0	0
13th	14	13	1	0	0	0	0
14th	6	6	0	0	0	0	0
15th	1	0	1	0	0	0	0
placed	996	916	80	0	0	0	0
not_placed	543	0	122	158	148	101	14
total	1539	916	202	158	148	101	14

Total

Category 1

Category 2

All same stack with weighted random first

	total	cat1	cat2	cat3	cat4	cat5	cat6
1st	74	68	6	0	0	0	0
2nd	64	60	4	0	0	0	0
3rd	49	46	3	0	0	0	0
4th	68	64	4	0	0	0	0
5th	54	51	3	0	0	0	0
6th	51	48	3	0	0	0	0
7th	125	114	11	0	0	0	0
8th	66	62	4	0	0	0	0
9th	121	106	15	0	0	0	0
10th	63	58	5	0	0	0	0
11th	76	66	10	0	0	0	0
12th	54	51	3	0	0	0	0
13th	40	37	3	0	0	0	0
14th	51	48	3	0	0	0	0
15th	40	37	3	0	0	0	0
placed	996	916	80	0	0	0	0
not_placed	543	0	122	158	148	101	14
total	1539	916	202	158	148	101	14

Total

Category 1

Category 2

All same stack with weighted random first and 12th

	total	cat1	cat2	cat3	cat4	cat5	cat6
1st	71	67	4	0	0	0	0
2nd	76	69	7	0	0	0	0
3rd	64	56	8	0	0	0	0
4th	125	112	13	0	0	0	0
5th	54	49	5	0	0	0	0
6th	54	45	9	0	0	0	0
7th	68	65	3	0	0	0	0
8th	51	47	4	0	0	0	0
9th	121	114	7	0	0	0	0
10th	74	66	8	0	0	0	0
11th	51	50	1	0	0	0	0
12th	66	61	5	0	0	0	0
13th	49	44	5	0	0	0	0
14th	40	38	2	0	0	0	0
15th	37	33	4	0	0	0	0
placed	1001	916	85	0	0	0	0
not_placed	538	0	117	158	148	101	14
total	1539	916	202	158	148	101	14

Total

Category 1

Category 2

All same stack with weighted random first and 14th

	total	cat1	cat2	cat3	cat4	cat5	cat6
1st	54	49	5	0	0	0	0
2nd	125	113	12	0	0	0	0
3rd	49	45	4	0	0	0	0
4th	68	56	12	0	0	0	0
5th	74	70	4	0	0	0	0
6th	64	61	3	0	0	0	0
7th	66	59	7	0	0	0	0
8th	121	109	12	0	0	0	0
9th	51	47	4	0	0	0	0
10th	71	66	5	0	0	0	0
11th	54	52	2	0	0	0	0
12th	76	71	5	0	0	0	0
13th	40	40	0	0	0	0	0
14th	51	46	5	0	0	0	0
15th	33	32	1	0	0	0	0
placed	997	916	81	0	0	0	0
not_placed	542	0	121	158	148	101	14
total	1539	916	202	158	148	101	14

Total

Category 1

Category 2

All same stack with weighted random first and 2nd

	total	cat1	cat2	cat3	cat4	cat5	cat6
1st	51	45	6	0	0	0	0
2nd	66	61	5	0	0	0	0
3rd	76	66	10	0	0	0	0
4th	125	115	10	0	0	0	0
5th	54	49	5	0	0	0	0
6th	121	112	9	0	0	0	0
7th	40	38	2	0	0	0	0
8th	63	58	5	0	0	0	0
9th	54	51	3	0	0	0	0
10th	68	62	6	0	0	0	0
11th	49	47	2	0	0	0	0
12th	64	61	3	0	0	0	0
13th	74	69	5	0	0	0	0
14th	71	62	9	0	0	0	0
15th	22	20	2	0	0	0	0
placed	998	916	82	0	0	0	0
not_placed	541	0	120	158	148	101	14
total	1539	916	202	158	148	101	14

Total

Category 1

Category 2

Mixed stacks with weighted random first

	total	cat1	cat2	cat3	cat4	cat5	cat6
1st	134	119	15	0	0	0	0
2nd	108	101	7	0	0	0	0
3rd	76	72	4	0	0	0	0
4th	184	170	14	0	0	0	0
5th	107	98	9	0	0	0	0
6th	56	53	3	0	0	0	0
7th	65	53	12	0	0	0	0
8th	115	106	9	0	0	0	0
9th	30	30	0	0	0	0	0
10th	15	15	0	0	0	0	0
11th	58	56	2	0	0	0	0
12th	49	43	6	0	0	0	0
13th	0	0	0	0	0	0	0
14th	0	0	0	0	0	0	0
15th	0	0	0	0	0	0	0
placed	997	916	81	0	0	0	0
not_placed	542	0	121	158	148	101	14
total	1539	916	202	158	148	101	14

Total

Category 1

Category 2

Mixed stacks with weighted random first and 12th

	total	cat1	cat2	cat3	cat4	cat5	cat6
1st	94	84	10	0	0	0	0
2nd	111	104	7	0	0	0	0
3rd	142	136	6	0	0	0	0
4th	53	46	7	0	0	0	0
5th	196	176	20	0	0	0	0
6th	61	58	3	0	0	0	0
7th	55	51	4	0	0	0	0
8th	58	52	6	0	0	0	0
9th	41	36	5	0	0	0	0
10th	66	59	7	0	0	0	0
11th	76	73	3	0	0	0	0
12th	43	39	4	0	0	0	0
13th	1	1	0	0	0	0	0
14th	0	0	0	0	0	0	0
15th	1	1	0	0	0	0	0
placed	998	916	82	0	0	0	0
not_placed	541	0	120	158	148	101	14
total	1539	916	202	158	148	101	14

Total

Category 1

Category 2

Mixed stacks with weighted random first and 14th

	total	cat1	cat2	cat3	cat4	cat5	cat6
1st	146	135	11	0	0	0	0
2nd	51	42	9	0	0	0	0
3rd	72	67	5	0	0	0	0
4th	82	76	6	0	0	0	0
5th	118	111	7	0	0	0	0
6th	77	73	4	0	0	0	0
7th	89	80	9	0	0	0	0
8th	184	168	16	0	0	0	0
9th	67	60	7	0	0	0	0
10th	36	33	3	0	0	0	0
11th	17	15	2	0	0	0	0
12th	36	34	2	0	0	0	0
13th	11	11	0	0	0	0	0
14th	10	10	0	0	0	0	0
15th	1	1	0	0	0	0	0
placed	997	916	81	0	0	0	0
not_placed	542	0	121	158	148	101	14
total	1539	916	202	158	148	101	14

Total

Category 1

Category 2

Mixed stacks with weighted random first and 2nd

	total	cat1	cat2	cat3	cat4	cat5	cat6
1st	124	114	10	0	0	0	0
2nd	118	107	11	0	0	0	0
3rd	65	58	7	0	0	0	0
4th	86	80	6	0	0	0	0
5th	146	137	9	0	0	0	0
6th	58	54	4	0	0	0	0
7th	104	91	13	0	0	0	0
8th	80	74	6	0	0	0	0
9th	57	53	4	0	0	0	0
10th	65	61	4	0	0	0	0
11th	76	69	7	0	0	0	0
12th	17	15	2	0	0	0	0
13th	2	1	1	0	0	0	0
14th	0	0	0	0	0	0	0
15th	3	2	1	0	0	0	0
placed	1001	916	85	0	0	0	0
not_placed	538	0	117	158	148	101	14
total	1539	916	202	158	148	101	14

Total

Category 1

Category 2

AI algorithm + unweighted random selection

All random

	total	cat1	cat2	cat3	cat4	cat5	cat6
1st	619	563	56	0	0	0	0
2nd	257	242	15	0	0	0	0
3rd	81	73	8	0	0	0	0
4th	32	29	3	0	0	0	0
5th	7	7	0	0	0	0	0
6th	2	2	0	0	0	0	0
7th	1	0	1	0	0	0	0
8th	0	0	0	0	0	0	0
9th	0	0	0	0	0	0	0
10th	0	0	0	0	0	0	0
11th	0	0	0	0	0	0	0
12th	0	0	0	0	0	0	0
13th	0	0	0	0	0	0	0
14th	0	0	0	0	0	0	0
15th	0	0	0	0	0	0	0
placed	999	916	83	0	0	0	0
not_placed	540	0	119	158	148	101	14
total	1539	916	202	158	148	101	14

Total

Category 1

Category 2

All stack

	total	cat1	cat2	cat3	cat4	cat5	cat6
1st	64	59	5	0	0	0	0
2nd	71	67	4	0	0	0	0
3rd	51	47	4	0	0	0	0
4th	54	49	5	0	0	0	0
5th	49	46	3	0	0	0	0
6th	76	69	7	0	0	0	0
7th	121	112	9	0	0	0	0
8th	40	36	4	0	0	0	0
9th	125	113	12	0	0	0	0
10th	74	70	4	0	0	0	0
11th	51	45	6	0	0	0	0
12th	68	61	7	0	0	0	0
13th	66	62	4	0	0	0	0
14th	63	56	7	0	0	0	0
15th	27	24	3	0	0	0	0
placed	1000	916	84	0	0	0	0
not_placed	539	0	118	158	148	101	14
total	1539	916	202	158	148	101	14

Total

Category 1

Category 2

Mixed stacks

	total	cat1	cat2	cat3	cat4	cat5	cat6
1st	63	54	9	0	0	0	0
2nd	72	67	5	0	0	0	0
3rd	51	44	7	0	0	0	0
4th	54	51	3	0	0	0	0
5th	49	47	2	0	0	0	0
6th	76	68	8	0	0	0	0
7th	92	85	7	0	0	0	0
8th	69	62	7	0	0	0	0
9th	125	117	8	0	0	0	0
10th	74	68	6	0	0	0	0
11th	51	46	5	0	0	0	0
12th	79	72	7	0	0	0	0
13th	55	52	3	0	0	0	0
14th	63	59	4	0	0	0	0
15th	25	24	1	0	0	0	0
placed	998	916	82	0	0	0	0
not_placed	541	0	120	158	148	101	14
total	1539	916	202	158	148	101	14

Total

Category 1

Category 2

All same stack with random first

	total	cat1	cat2	cat3	cat4	cat5	cat6
1st	51	46	5	0	0	0	0
2nd	71	64	7	0	0	0	0
3rd	68	65	3	0	0	0	0
4th	64	55	9	0	0	0	0
5th	74	66	8	0	0	0	0
6th	54	50	4	0	0	0	0
7th	54	49	5	0	0	0	0
8th	125	117	8	0	0	0	0
9th	66	63	3	0	0	0	0
10th	49	46	3	0	0	0	0
11th	51	45	6	0	0	0	0
12th	40	39	1	0	0	0	0
13th	63	57	6	0	0	0	0
14th	76	71	5	0	0	0	0
15th	95	83	12	0	0	0	0
placed	1001	916	85	0	0	0	0
not_placed	538	0	117	158	148	101	14
total	1539	916	202	158	148	101	14

Total

Category 1

Category 2

All same stack with random first and 12th

	total	cat1	cat2	cat3	cat4	cat5	cat6
1st	74	70	4	0	0	0	0
2nd	49	47	2	0	0	0	0
3rd	54	47	7	0	0	0	0
4th	51	48	3	0	0	0	0
5th	40	37	3	0	0	0	0
6th	71	60	11	0	0	0	0
7th	63	59	4	0	0	0	0
8th	66	60	6	0	0	0	0
9th	54	51	3	0	0	0	0
10th	68	67	1	0	0	0	0
11th	64	55	9	0	0	0	0
12th	125	117	8	0	0	0	0
13th	76	69	7	0	0	0	0
14th	51	47	4	0	0	0	0
15th	91	82	9	0	0	0	0
placed	997	916	81	0	0	0	0
not_placed	542	0	121	158	148	101	14
total	1539	916	202	158	148	101	14

Total

Category 1

Category 2

All same stack with random first and 14th

	total	cat1	cat2	cat3	cat4	cat5	cat6
1st	63	58	5	0	0	0	0
2nd	54	50	4	0	0	0	0
3rd	74	68	6	0	0	0	0
4th	49	41	8	0	0	0	0
5th	66	64	2	0	0	0	0
6th	121	109	12	0	0	0	0
7th	64	61	3	0	0	0	0
8th	68	63	5	0	0	0	0
9th	54	50	4	0	0	0	0
10th	51	48	3	0	0	0	0
11th	76	73	3	0	0	0	0
12th	125	108	17	0	0	0	0
13th	40	40	0	0	0	0	0
14th	71	65	6	0	0	0	0
15th	21	18	3	0	0	0	0
placed	997	916	81	0	0	0	0
not_placed	542	0	121	158	148	101	14
total	1539	916	202	158	148	101	14

Total

Category 1

Category 2

All same stack with random first and 2nd

	total	cat1	cat2	cat3	cat4	cat5	cat6
1st	68	62	6	0	0	0	0
2nd	71	64	7	0	0	0	0
3rd	74	72	2	0	0	0	0
4th	66	59	7	0	0	0	0
5th	49	44	5	0	0	0	0
6th	40	36	4	0	0	0	0
7th	51	49	2	0	0	0	0
8th	121	107	14	0	0	0	0
9th	76	72	4	0	0	0	0
10th	54	52	2	0	0	0	0
11th	51	44	7	0	0	0	0
12th	125	115	10	0	0	0	0
13th	63	56	7	0	0	0	0
14th	64	61	3	0	0	0	0
15th	26	23	3	0	0	0	0
placed	999	916	83	0	0	0	0
not_placed	540	0	119	158	148	101	14
total	1539	916	202	158	148	101	14

Total

Category 1

Category 2

Mixed stacks with random first

	total	cat1	cat2	cat3	cat4	cat5	cat6
1st	193	184	9	0	0	0	0
2nd	103	95	8	0	0	0	0
3rd	87	80	7	0	0	0	0
4th	72	66	6	0	0	0	0
5th	130	119	11	0	0	0	0
6th	66	58	8	0	0	0	0
7th	54	48	6	0	0	0	0
8th	40	36	4	0	0	0	0
9th	22	18	4	0	0	0	0
10th	47	42	5	0	0	0	0
11th	131	123	8	0	0	0	0
12th	5	5	0	0	0	0	0
13th	30	27	3	0	0	0	0
14th	16	15	1	0	0	0	0
15th	0	0	0	0	0	0	0
placed	996	916	80	0	0	0	0
not_placed	543	0	122	158	148	101	14
total	1539	916	202	158	148	101	14

Total

Category 1

Category 2

Mixed stacks with random first and 12th

	total	cat1	cat2	cat3	cat4	cat5	cat6
1st	118	112	6	0	0	0	0
2nd	108	95	13	0	0	0	0
3rd	113	105	8	0	0	0	0
4th	115	106	9	0	0	0	0
5th	86	78	8	0	0	0	0
6th	115	108	7	0	0	0	0
7th	43	38	5	0	0	0	0
8th	154	139	15	0	0	0	0
9th	93	88	5	0	0	0	0
10th	17	15	2	0	0	0	0
11th	9	9	0	0	0	0	0
12th	20	19	1	0	0	0	0
13th	1	1	0	0	0	0	0
14th	3	3	0	0	0	0	0
15th	0	0	0	0	0	0	0
placed	995	916	79	0	0	0	0
not_placed	544	0	123	158	148	101	14
total	1539	916	202	158	148	101	14

Total

Category 1

Category 2

Mixed stacks with random first and 14th

	total	cat1	cat2	cat3	cat4	cat5	cat6
1st	92	81	11	0	0	0	0
2nd	123	115	8	0	0	0	0
3rd	136	128	8	0	0	0	0
4th	80	70	10	0	0	0	0
5th	40	38	2	0	0	0	0
6th	120	110	10	0	0	0	0
7th	69	65	4	0	0	0	0
8th	52	50	2	0	0	0	0
9th	69	61	8	0	0	0	0
10th	49	45	4	0	0	0	0
11th	58	52	6	0	0	0	0
12th	17	17	0	0	0	0	0
13th	38	31	7	0	0	0	0
14th	49	42	7	0	0	0	0
15th	11	11	0	0	0	0	0
placed	1003	916	87	0	0	0	0
not_placed	536	0	115	158	148	101	14
total	1539	916	202	158	148	101	14

Total

Category 1

Category 2

Mixed stacks with random first and 2nd

	total	cat1	cat2	cat3	cat4	cat5	cat6
1st	165	147	18	0	0	0	0
2nd	76	72	4	0	0	0	0
3rd	66	59	7	0	0	0	0
4th	46	46	0	0	0	0	0
5th	82	75	7	0	0	0	0
6th	131	122	9	0	0	0	0
7th	78	71	7	0	0	0	0
8th	54	52	2	0	0	0	0
9th	81	71	10	0	0	0	0
10th	79	75	4	0	0	0	0
11th	109	95	14	0	0	0	0
12th	13	12	1	0	0	0	0
13th	9	8	1	0	0	0	0
14th	4	2	2	0	0	0	0
15th	10	9	1	0	0	0	0
placed	1003	916	87	0	0	0	0
not_placed	536	0	115	158	148	101	14
total	1539	916	202	158	148	101	14

Total

Category 1

Category 2

AI algorithm convergence

All random

Weighted random

All stack

Mixed stacks

All same stack with random first

All same stack with weighted random first

All same stack with random first and 12th

All same stack with weighted random first and 12th

All same stack with random first and 14th

All same stack with weighted random first and 14th

All same stack with random first and 2nd

All same stack with weighted random first and 2nd

Mixed stacks with random first

Mixed stacks with weighted random first

Mixed stacks with random first and 12th

Mixed stacks with weighted random first and 12th

Mixed stacks with random first and 14th

Mixed stacks with weighted random first and 14th

Mixed stacks with random first and 2nd

Mixed stacks with weighted random first and 2nd

Global unhappiness when compared to categorical matching

Allocation mode	Anneal?	global_unhappiness
All random	True	559
All random	False	1012
Weighted random	True	3452
Weighted random	False	2025
All stack	True	6830
All stack	False	7208
Mixed stacks	True	6821
Mixed stacks	False	7070
All same stack with random first	True	7157
All same stack with random first	False	7231
All same stack with weighted random first	True	6641
All same stack with weighted random first	False	7117
All same stack with random first and 12th	True	7573
All same stack with random first and 12th	False	7107
All same stack with weighted random first and 12th	True	6326
All same stack with weighted random first and 12th	False	7629
All same stack with random first and 14th	True	6801
All same stack with random first and 14th	False	6997
All same stack with weighted random first and 14th	True	6314
All same stack with weighted random first and 14th	False	6602
All same stack with random first and 2nd	True	6897
All same stack with random first and 2nd	False	7188
All same stack with weighted random first and 2nd	True	6452
All same stack with weighted random first and 2nd	False	8022
Mixed stacks with random first	True	4479
Mixed stacks with random first	False	3989
Mixed stacks with weighted random first	True	4209
Mixed stacks with weighted random first	False	5475
Mixed stacks with random first and 12th	True	4192
Mixed stacks with random first and 12th	False	6111
Mixed stacks with weighted random first and 12th	True	4560
Mixed stacks with weighted random first and 12th	False	5946
Mixed stacks with random first and 14th	True	5180
Mixed stacks with random first and 14th	False	4800
Mixed stacks with weighted random first and 14th	True	4822
Mixed stacks with weighted random first and 14th	False	4528
Mixed stacks with random first and 2nd	True	5067
Mixed stacks with random first and 2nd	False	5481
Mixed stacks with weighted random first and 2nd	True	4618
Mixed stacks with weighted random first and 2nd	False	5450