Analysis of the Perfect Table Fuzzy Rainbow Tradeoff

Table 1

Optimal 𝑠 for the perfect fuzzy rainbow tradeoff, at various 𝙵_ps and log𝑚_⋆+𝜀 values. The 𝙵_msc value listed below each 𝑠 attains the minimum 𝙵_atc,𝑠 value.

log𝑚⋆+𝜀		50%	75%	90%	95%	99%	99.5%	99.9%
18	𝑠	34	38	43	48	60	66	79
	𝙵msc	1.6880	1.6882	1.6846	1.6813	1.6697	1.6647	1.6531
19	𝑠	36	40	46	50	63	68	83
	𝙵msc	1.6999	1.6996	1.6967	1.6921	1.6810	1.6754	1.6644
20	𝑠	37	42	48	53	65	71	86
	𝙵msc	1.7095	1.7103	1.7071	1.7030	1.6910	1.6858	1.6747
21	𝑠	39	44	50	55	68	74	89
	𝙵msc	1.7198	1.7202	1.7167	1.7126	1.7008	1.6955	1.6843
22	𝑠	41	46	52	57	71	77	93
	𝙵msc	1.7294	1.7293	1.7256	1.7215	1.7101	1.7046	1.6936
23	𝑠	43	48	54	59	73	80	96
	𝙵msc	1.7382	1.7379	1.7339	1.7298	1.7183	1.7133	1.7021
24	𝑠	45	50	56	62	76	83	100
	𝙵msc	1.7465	1.7459	1.7418	1.7381	1.7264	1.7214	1.7105
25	𝑠	47	51	58	64	79	86	103
	𝙵msc	1.7542	1.7527	1.7492	1.7454	1.7340	1.7290	1.7180
26	𝑠	49	53	60	66	81	89	106
	𝙵msc	1.7615	1.7598	1.7562	1.7523	1.7410	1.7362	1.7252
27	𝑠	51	55	63	69	84	91	110
	𝙵msc	1.7684	1.7665	1.7633	1.7593	1.7478	1.7427	1.7322
28	𝑠	52	57	65	71	87	94	113
	𝙵msc	1.7740	1.7728	1.7695	1.7655	1.7543	1.7492	1.7387
29	𝑠	54	59	67	73	89	97	116
	𝙵msc	1.7801	1.7788	1.7754	1.7713	1.7602	1.7554	1.7448
30	𝑠	56	61	69	75	92	100	120
	𝙵msc	1.7859	1.7845	1.7809	1.7769	1.7661	1.7612	1.7508
31	𝑠	58	63	71	78	95	103	123
	𝙵msc	1.7914	1.7898	1.7862	1.7825	1.7716	1.7668	1.7564
32	𝑠	60	65	73	80	97	106	126
	𝙵msc	1.7966	1.7949	1.7913	1.7875	1.7767	1.7720	1.7618
33	𝑠	62	67	75	82	100	109	130
	𝙵msc	1.8015	1.7998	1.7961	1.7923	1.7817	1.7771	1.7670
34	𝑠	64	69	78	84	103	111	133
	𝙵msc	1.8062	1.8044	1.8010	1.7969	1.7865	1.7818	1.7718
35	𝑠	66	71	80	87	105	114	136
	𝙵msc	1.8106	1.8088	1.8053	1.8015	1.7909	1.7864	1.7765