Study 8C09   Main

Leading from Five

by Richard Pavlicek

The obvious followup to Leading Authority, an exhaustive study of four-card suit leads, is to move on to five-card suits, though considerations will be different because safety is rarely an issue. For each five-card holding, each lead option is analyzed for trick average, how often the suit will be fluid (defined later), how often leader can do as well unassisted, and how often the defense can run five immediately. Notrump play is presumed for all analyses.

Ace Holdings

King Holdings

Queen Holdings

Jack Holdings

Weak Holdings

There are 1287 possible five-card holdings, each producing 4732 distinct layouts, in which each of the five lead options is analyzed four times (trick average, fluidity, unassisted, ability to run five). Ostensibly this requires 1287 × 4732 × 5 × 4 = 121,801,680 double-dummy solutions, but it’s actually about 84 million since equivalent (touching) cards are skipped.

All possible suit layouts were considered except 6+ cards or a void in another hand, or a singleton in declarer’s hand to emulate the typical notrump environment. The following table summarizes the breakdown. Combinations shows the number of card distributions for each specific suit pattern. Ways shows the number of permutations. Specific (combinations × ways) shows the total number of layouts. Ratio shows the relative probability of one specific lie of the suit pattern. For example, a specific 5=3=3=2 lie is more likely than a specific 5=4=3=1 lie by the ratio 66:55, or more simply 6:5, but the higher numbers are used to eliminate fractions for other ratios. This allows each case to be weighted appropriately to obtain the true trick average.

Suit Pattern	Combinations	Ways	Specific	Ratio
5 (3-3-2)	8c3 × 5c3 = 560	3	1680	66
5 (4-2-2)	8c4 × 4c2 = 420	3	1260	60
5 (4-3-1)	8c4 × 4c3 = 280	4*	1120	55
5 (5-2-1)	8c5 × 3c2 = 168	4*	672	45
Totals	1428	14	4732	226

*Normally would be 6, but the 2 ways with a singleton for declarer are excluded. While hardly impossible due to off-shape notrumps and misfit auctions, including such cases on an equal basis would bias the results for the great majority of cases. Similarly, rare layouts with 6+ cards or a void are ignored.

Trick Average

For each holding, the average number of tricks won is shown for each of the five lead options. An equal sign (=) denotes an equivalent card to a preceding higher card, hence its average would be identical. After the forced lead, double-dummy play is presumed, and either defender may lead to subsequent tricks to the defenders’ best advantage. (The possibility of declarer leading the suit is ignored.) Five tricks are always decided, though to be fulfilled in practice would usually require opening leader to have one or more outside entries.

The best lead from each holding is tinted gold, and the second best is tinted green.

Fluidity

An important consideration when leading a five-card suit is for partner to be able to return it. For example, holding A-Q-J-10-9 the best lead for pure trick average is the ace (might drop a stiff king), but this would be foolish without an outside entry. Leading the queen risks the slim chance of losing to a blank king but is far more likely to keep the suit fluid.

A suit is considered fluid if its due tricks can be made with partner able to lead the suit after he has won a trick in it, or after declarer has won a trick in it if partner did not win a trick. Note that by this definition a holding of, say, K-Q-5-4-3 opposite J-2 (declarer’s cards split 3-3) would be fluid only if a low card is led, but either the king or low lead produces four tricks.

Fluidity is shown as a percent, indicating the portion of time the suit is fluid after the indicated lead. The gold column applies to the gold-tinted lead, and the green column applies to the green-tinted lead.

Unassisted

Trick average is based on either defender being able to lead (except for the initial lead) but this may be restricted in practice when partner is likely to be broke. Therefore, a percent is shown to indicate how often the leader can win the same number of tricks by himself, i.e., without partner leading the suit. The gold column applies to the gold-tinted lead, and green to the green-tinted lead.

Run Five

Also shown for the best and second-best lead is the percent of time the defense can run the first five tricks in the suit. (For obvious reasons such layouts are also counted as “fluid” regardless of partner’s role.) Note that even the worst suit (6-5-4-3-2) has a chance to run five, since partner could have five cards too. Again, the column color applies to the like-colored lead.

Double-Dummy Issues

As usual with double-dummy play, nobody misguesses, which in this case favors declarer because he gets to make the first double-dummy play after the forced lead. For instance, if dummy has K-J-9, declarer will win two tricks whether you have led from A-Q-x-x-x or Q-10-x-x-x (partner having the missing honor) or even A-10-x-x-x when partner has a blank queen! Therefore, trick averages of holdings that may afford a guess would be slightly higher in practice.

Double-dummy play can also make fluidity unrealistic. For example, A-K-10-4-3 opposite Q-2 (declarer having J-x-x) is analyzed as fluid with any lead, because partner can drop the queen under the king, thereby allowing the suit to run when partner leads it. Curiously, any lead also wins five unassisted, because partner would not unblock for that solution. Only a low lead, however, is able to run five.

High-Card Distribution

For these analyses the distribution of high cards is presumed to be equiprobable among the other three hands, though in practice there will usually be bias. For example, if South opens 1 NT and North raises to 3 NT, partner will not have his a priori expectation of high cards; thus trick averages would be slightly lower, however, relative differences would generally be the same. Further, this decrease would be offset in actual play by the increase from declarer misguessing; so who knows? The numbers may be right on the money after all.

Study 8C09   Main

Top   Leading from Five

Ace Holdings

A-K-Q	Highest	Second	Third	Fourth	Fifth	Fluidity		Unassisted		Run Five
A-K-Q-J-10	5.000	=	=	=	=	100	=	100	=	100	=
A-K-Q-J-9	4.966	=	=	=	4.316	100	83.50	98.30	100	96.60	29.55
A-K-Q-J-8	4.942	=	=	=	4.316	100	83.50	99.03	100	94.18	29.55
A-K-Q-J-7	4.930	=	=	=	4.316	99.43	83.50	99.68	100	92.48	29.55
A-K-Q-J-6	4.927	=	=	=	4.316	99.16	83.50	99.94	100	91.85	29.55
A-K-Q-J-5	4.926	=	=	=	4.316	99.22	83.50	100	100	91.85	29.55
A-K-Q-J-4	4.926	=	=	=	4.316	99.22	83.50	100	100	91.85	29.55
A-K-Q-J-3	4.926	=	=	=	4.316	99.22	83.50	100	100	91.85	29.55
A-K-Q-J-2	4.926	=	=	=	4.316	99.22	83.50	100	100	91.85	29.55
A-K-Q-10-9	4.848	=	=	4.316	=	100	83.50	92.71	100	84.85	29.55
A-K-Q-10-8	4.815	=	=	4.282	4.287	100	83.50	91.49	98.79	83.39	29.55
A-K-Q-10-7	4.798	=	=	4.261	4.287	99.51	83.50	91.49	98.79	82.26	29.55
A-K-Q-10-6	4.793	=	=	4.252	4.287	99.21	83.50	91.56	98.79	81.79	29.55
A-K-Q-10-5	4.792	=	=	4.249	4.287	99.22	83.50	91.57	98.79	81.79	29.55
A-K-Q-10-4	4.792	=	=	4.248	4.287	99.22	83.50	91.57	98.79	81.79	29.55
A-K-Q-10-3	4.792	=	=	4.248	4.287	99.22	83.50	91.57	98.79	81.79	29.55
A-K-Q-10-2	4.792	=	=	4.248	4.287	99.22	83.50	91.57	98.79	81.79	29.55
A-K-Q-9-8	4.717	=	=	4.272	=	98.71	83.50	94.57	98.06	72.39	29.55
A-K-Q-9-7	4.688	=	=	4.253	4.266	98.63	83.50	94.74	98.71	71.82	29.55
A-K-Q-9-6	4.677	=	=	4.245	4.266	98.42	83.50	95.03	98.71	71.51	29.55
A-K-Q-9-5	4.673	=	=	4.242	4.266	98.42	83.50	95.17	98.71	71.51	29.55
A-K-Q-9-4	4.673	=	=	4.242	4.266	98.42	83.50	95.22	98.71	71.51	29.55
A-K-Q-9-3	4.673	=	=	4.242	4.266	98.42	83.50	95.22	98.71	71.51	29.55
A-K-Q-9-2	4.673	=	=	4.242	4.266	98.42	83.50	95.22	98.71	71.51	29.55
A-K-Q-8-7	4.647	=	=	4.251	=	95.47	83.34	95.45	98.95	64.51	29.07
A-K-Q-8-6	4.627	=	=	4.242	4.251	95.04	83.34	96.13	98.95	64.36	29.07
A-K-Q-8-5	4.621	=	=	4.239	4.251	94.89	83.34	96.47	98.95	64.36	29.07
A-K-Q-8-4	4.620	=	=	4.238	4.251	94.86	83.34	96.59	98.95	64.36	29.07
A-K-Q-8-3	4.620	=	=	4.238	4.251	94.86	83.34	96.59	98.95	64.36	29.07
A-K-Q-8-2	4.620	=	=	4.238	4.251	94.86	83.34	96.59	98.95	64.36	29.07
A-K-Q-7-6	4.604	=	=	4.242	=	94.76	83.02	96.97	99.60	61.99	28.87
A-K-Q-7-5	4.595	=	=	4.239	4.242	94.52	83.02	97.51	99.60	61.99	28.87
A-K-Q-7-4	4.593	=	=	4.238	4.242	94.50	83.02	97.69	99.60	61.99	28.87
A-K-Q-7-3	4.593	=	=	4.238	4.242	94.50	83.02	97.69	99.60	61.99	28.87
A-K-Q-7-2	4.593	=	=	4.238	4.242	94.50	83.02	97.69	99.60	61.99	28.87
A-K-Q-6-5	4.583	=	=	4.239	=	94.03	83.11	98.35	99.92	60.50	28.87
A-K-Q-6-4	4.581	=	=	4.238	4.239	94.28	83.11	98.59	99.92	60.50	28.87
A-K-Q-6-3	4.581	=	=	4.238	4.239	94.28	83.11	98.59	99.92	60.50	28.87
A-K-Q-6-2	4.581	=	=	4.238	4.239	94.28	83.11	98.59	99.92	60.50	28.87
A-K-Q-5-4	4.575	=	=	4.238	=	93.83	83.19	99.13	100	59.51	28.87
A-K-Q-5-3	4.575	=	=	4.238	4.238	93.83	83.19	99.13	100	59.51	28.87
A-K-Q-5-2	4.575	=	=	4.238	4.238	93.83	83.19	99.13	100	59.51	28.87
A-K-Q-4-3	4.573	=	=	4.238	=	94.06	83.19	99.37	100	59.51	28.87
A-K-Q-4-2	4.573	=	=	4.238	4.238	94.06	83.19	99.37	100	59.51	28.87
A-K-Q-3-2	4.573	=	=	4.238	=	94.06	83.19	99.37	100	59.51	28.87

A-K-J	Highest	Second	Third	Fourth	Fifth	Fluidity		Unassisted		Run Five
A-K-J-10-9	4.662	=	4.316	=	=	77.41	83.50	85.20	100	66.21	29.55
A-K-J-10-8	4.628	=	4.282	=	4.195	77.41	83.50	83.99	98.79	64.75	29.55
A-K-J-10-7	4.607	=	4.261	=	4.195	76.93	83.02	84.47	99.27	63.62	29.07
A-K-J-10-6	4.598	=	4.252	=	4.195	76.23	82.32	84.92	99.73	63.15	28.87
A-K-J-10-5	4.595	=	4.249	=	4.195	76.01	82.09	85.13	99.94	63.15	28.87
A-K-J-10-4	4.594	=	4.248	=	4.195	76.07	82.16	85.20	100	63.15	28.87
A-K-J-10-3	4.594	=	4.248	=	4.195	76.07	82.16	85.20	100	63.15	28.87
A-K-J-10-2	4.594	=	4.248	=	4.195	76.07	82.16	85.20	100	63.15	28.87
A-K-J-9-8	4.534	=	4.178	4.181	=	76.12	83.50	82.86	94.46	59.36	29.55
A-K-J-9-7	4.500	=	4.144	4.151	4.164	76.04	83.50	82.05	93.81	58.79	29.55
A-K-J-9-6	4.485	=	4.128	4.138	4.164	75.51	83.50	82.05	93.81	58.48	29.55
A-K-J-9-5	4.479	=	4.123	4.134	4.164	75.25	83.50	82.10	93.81	58.48	29.55
A-K-J-9-4	4.478	=	4.122	4.133	4.164	75.26	83.50	82.12	93.81	58.48	29.55
A-K-J-9-3	4.478	=	4.122	4.133	4.164	75.26	83.50	82.12	93.81	58.48	29.55
A-K-J-9-2	4.478	=	4.122	4.133	4.164	75.26	83.50	82.12	93.81	58.48	29.55
A-K-J-8-7	4.450	=	4.066	4.145	=	73.53	83.34	81.57	93.73	53.96	29.07
A-K-J-8-6	4.425	=	4.039	4.134	4.145	73.10	83.34	81.47	93.73	53.81	29.07
A-K-J-8-5	4.415	=	4.028	4.130	4.145	72.79	83.34	81.52	93.73	53.81	29.07
A-K-J-8-4	4.413	=	4.025	4.129	4.145	72.76	83.34	81.54	93.73	53.81	29.07
A-K-J-8-3	4.413	=	4.025	4.129	4.145	72.76	83.34	81.54	93.73	53.81	29.07
A-K-J-8-2	4.413	=	4.025	4.129	4.145	72.76	83.34	81.54	93.73	53.81	29.07
A-K-J-7-6	4.395	=	4.004	4.134	=	72.63	83.10	81.14	93.92	51.91	28.87
A-K-J-7-5	4.381	=	3.987	4.130	4.134	72.24	83.10	81.24	93.92	51.91	28.87
A-K-J-7-4	4.378	=	3.982	4.129	4.134	72.18	83.10	81.27	93.92	51.91	28.87
A-K-J-7-3	4.378	=	3.981	4.129	4.134	72.18	83.10	81.27	93.92	51.91	28.87
A-K-J-7-2	4.378	=	3.981	4.129	4.134	72.18	83.10	81.27	93.92	51.91	28.87
A-K-J-6-5	4.365	=	3.970	4.130	=	71.71	83.15	81.25	94.09	50.54	28.87
A-K-J-6-4	4.361	=	3.962	4.129	4.130	71.76	83.15	81.30	94.09	50.54	28.87
A-K-J-6-3	4.361	=	3.960	4.129	4.130	71.76	83.15	81.30	94.09	50.54	28.87
A-K-J-6-2	4.361	=	3.960	4.129	4.130	71.76	83.15	81.30	94.09	50.54	28.87
A-K-J-5-4	4.354	=	3.954	4.129	=	71.24	83.19	81.45	94.13	49.55	28.87
A-K-J-5-3	4.354	=	3.952	4.129	4.129	71.24	83.19	81.45	94.13	49.55	28.87
A-K-J-5-2	4.354	=	3.952	4.129	4.129	71.24	83.19	81.45	94.13	49.55	28.87
A-K-J-4-3	4.352	=	3.948	4.129	=	71.48	83.19	81.58	94.13	49.55	28.87
A-K-J-4-2	4.352	=	3.948	4.129	4.129	71.48	83.19	81.58	94.13	49.55	28.87
A-K-J-3-2	4.352	=	3.946	4.129	=	71.48	83.19	81.58	94.13	49.55	28.87

A-K-10	Highest	Second	Third	Fourth	Fifth	Fluidity		Unassisted		Run Five
A-K-10-9-8	4.345	=	4.129	=	=	61.51	82.21	88.38	91.02	45.02	27.77
A-K-10-9-7	4.311	=	4.095	=	4.072	61.43	82.13	87.57	90.13	44.45	27.69
A-K-10-9-6	4.294	=	4.080	=	4.072	60.57	81.66	87.67	90.10	44.15	27.58
A-K-10-9-5	4.289	=	4.075	=	4.072	60.06	81.51	87.76	90.11	44.15	27.58
A-K-10-9-4	4.287	=	4.074	=	4.072	60.09	81.51	87.79	90.11	44.15	27.58
A-K-10-9-3	4.287	=	4.074	=	4.072	60.09	81.51	87.79	90.11	44.15	27.58
A-K-10-9-2	4.287	=	4.074	=	4.072	60.09	81.51	87.79	90.11	44.15	27.58
A-K-10-8-7	4.246	=	4.013	4.047	=	60.22	83.20	88.54	92.34	41.71	27.69
A-K-10-8-6	4.214	=	3.987	4.031	4.044	59.98	83.20	88.44	92.63	41.56	27.69
A-K-10-8-5	4.200	=	3.977	4.025	4.044	59.60	83.20	88.59	92.63	41.56	27.69
A-K-10-8-4	4.197	=	3.974	4.023	4.044	59.60	83.20	88.68	92.63	41.56	27.69
A-K-10-8-3	4.196	=	3.974	4.022	4.044	59.60	83.20	88.73	92.63	41.56	27.69
A-K-10-8-2	4.196	=	3.974	4.022	4.044	59.60	83.20	88.73	92.63	41.56	27.69
A-K-10-7-6	4.175	=	3.953	4.030	=	59.64	82.93	89.00	92.66	40.13	27.58
A-K-10-7-5	4.153	=	3.937	4.024	4.030	59.35	82.93	89.29	92.66	40.13	27.58
A-K-10-7-4	4.146	=	3.932	4.023	4.030	59.31	82.93	89.49	92.66	40.13	27.58
A-K-10-7-3	4.145	=	3.931	4.022	4.030	59.31	82.93	89.58	92.66	40.13	27.58
A-K-10-7-2	4.145	=	3.931	4.022	4.030	59.31	82.93	89.58	92.66	40.13	27.58
A-K-10-6-5	4.132	=	3.917	4.024	=	58.98	82.93	89.79	92.92	39.10	27.58
A-K-10-6-4	4.123	=	3.910	4.023	4.024	58.98	82.93	90.09	92.92	39.10	27.58
A-K-10-6-3	4.121	=	3.909	4.022	4.024	58.98	82.93	90.23	92.92	39.10	27.58
A-K-10-6-2	4.121	=	3.909	4.022	4.024	58.98	82.93	90.23	92.92	39.10	27.58
A-K-10-5-4	4.113	=	3.899	4.023	=	58.49	82.98	90.50	93.05	38.29	27.58
A-K-10-5-3	4.111	=	3.897	4.022	4.023	58.49	82.98	90.69	93.05	38.29	27.58
A-K-10-5-2	4.111	=	3.897	4.022	4.023	58.49	82.98	90.69	93.05	38.29	27.58
A-K-10-4-3	4.109	=	3.892	4.022	=	58.65	82.98	90.94	93.08	38.29	27.58
A-K-10-4-2	4.109	=	3.892	4.022	4.022	58.65	82.98	90.94	93.08	38.29	27.58
A-K-10-3-2	4.109	=	3.890	4.022	=	58.65	82.98	90.94	93.08	38.29	27.58

A-K-9	Highest	Second	Third	Fourth	Fifth	Fluidity		Unassisted		Run Five
A-K-9-8-7	4.147	=	3.998	=	=	49.90	81.56	91.62	92.38	33.60	25.03
A-K-9-8-6	4.115	=	3.975	=	3.990	49.85	81.91	91.52	92.83	33.46	25.03
A-K-9-8-5	4.101	=	3.966	=	3.990	49.36	81.91	91.67	92.83	33.46	25.03
A-K-9-8-4	4.098	=	3.963	=	3.990	49.36	81.91	91.77	92.83	33.46	25.03
A-K-9-8-3	4.097	=	3.963	=	3.990	49.36	81.91	91.82	92.83	33.46	25.03
A-K-9-8-2	4.097	=	3.963	=	3.990	49.36	81.91	91.82	92.83	33.46	25.03
A-K-9-7-6	4.075	=	3.940	3.969	=	49.38	81.66	91.65	92.73	32.42	24.99
A-K-9-7-5	4.048	=	3.925	3.960	3.969	49.23	81.66	92.14	92.73	32.42	24.99
A-K-9-7-4	4.039	=	3.920	3.958	3.969	49.23	81.66	92.46	92.73	32.42	24.99
A-K-9-7-3	4.038	=	3.919	3.958	3.969	49.23	81.66	92.62	92.73	32.42	24.99
A-K-9-7-2	4.038	=	3.919	3.958	3.969	49.23	81.66	92.62	92.73	32.42	24.99
A-K-9-6-5	4.028	=	3.901	3.960	=	48.97	81.58	92.36	93.03	31.75	24.99
A-K-9-6-4	4.014	=	3.893	3.958	3.960	48.97	81.58	92.91	93.03	31.75	24.99
A-K-9-6-3	4.011	=	3.891	3.958	3.960	48.97	81.58	93.19	93.03	31.75	24.99
A-K-9-6-2	4.011	=	3.891	3.958	3.960	48.97	81.58	93.19	93.03	31.75	24.99
A-K-9-5-4	4.006	=	3.880	3.958	=	48.51	81.60	93.18	93.19	31.18	24.99
A-K-9-5-3	4.003	=	3.877	3.958	3.958	48.51	81.60	93.57	93.19	31.18	24.99
A-K-9-5-2	4.003	=	3.877	3.958	3.958	48.51	81.60	93.57	93.19	31.18	24.99
A-K-9-4-3	4.001	=	3.870	3.958	=	48.57	81.60	93.76	93.22	31.18	24.99
A-K-9-4-2	4.001	=	3.870	3.958	3.958	48.57	81.60	93.76	93.22	31.18	24.99
A-K-9-3-2	4.001	=	3.867	3.958	=	48.57	81.60	93.76	93.22	31.18	24.99

A-K-x	Highest	Second	Third	Fourth	Fifth	Fluidity		Unassisted		Run Five
A-K-8-7-6	4.033	=	3.937	=	=	45.92	79.00	93.57	93.87	28.41	24.24
A-K-8-7-5	4.006	=	3.922	=	3.931	45.92	79.58	94.05	94.45	28.41	24.24
A-K-8-7-4	3.997	=	3.918	=	3.931	45.92	79.58	94.37	94.45	28.41	24.24
A-K-8-7-3	3.996	=	3.917	=	3.931	45.92	79.58	94.54	94.45	28.41	24.24
A-K-8-7-2	3.996	=	3.917	=	3.931	45.92	79.58	94.54	94.45	28.41	24.24
A-K-8-6-5	3.982	=	3.898	3.917	=	45.79	79.29	94.10	95.08	28.15	24.24
A-K-8-6-4	3.965	=	3.891	3.912	3.917	45.79	79.29	94.78	95.08	28.15	24.24
A-K-8-6-3	3.962	=	3.889	3.911	3.917	45.79	79.29	95.12	95.08	28.15	24.24
A-K-8-6-2	3.962	=	3.889	3.911	3.917	45.79	79.29	95.12	95.08	28.15	24.24
A-K-8-5-4	3.956	=	3.879	3.912	=	45.48	79.25	94.99	95.44	27.83	24.24
A-K-8-5-3	3.951	=	3.876	3.911	3.912	45.48	79.25	95.51	95.44	27.83	24.24
A-K-8-5-2	3.951	=	3.876	3.911	3.912	45.48	79.25	95.51	95.44	27.83	24.24
A-K-8-4-3	3.949	=	3.869	3.911	=	45.48	79.25	95.70	95.53	27.83	24.24
A-K-8-4-2	3.949	=	3.869	3.911	3.911	45.48	79.25	95.70	95.53	27.83	24.24
A-K-8-3-2	3.949	=	3.866	3.911	=	45.48	79.25	95.70	95.53	27.83	24.24
A-K-7-6-5	3.963	=	3.898	=	=	43.88	78.85	95.28	96.24	26.05	23.52
A-K-7-6-4	3.947	=	3.891	=	3.898	43.88	78.85	95.96	96.24	26.05	23.52
A-K-7-6-3	3.943	=	3.889	=	3.898	43.88	78.85	96.30	96.24	26.05	23.52
A-K-7-6-2	3.943	=	3.889	=	3.898	43.88	78.85	96.30	96.24	26.05	23.52
A-K-7-5-4	3.935	=	3.878	3.891	=	43.88	79.12	96.23	96.84	26.05	23.52
A-K-7-5-3	3.929	=	3.875	3.889	3.891	43.88	79.12	96.82	96.84	26.05	23.52
A-K-7-5-2	3.929	=	3.875	3.889	3.891	43.88	79.12	96.82	96.84	26.05	23.52
A-K-7-4-3	3.927	=	3.867	3.889	=	43.88	79.21	97.08	97.02	26.05	23.52
A-K-7-4-2	3.927	=	3.867	3.889	3.889	43.88	79.21	97.08	97.02	26.05	23.52
A-K-7-3-2	3.927	=	3.863	3.889	=	43.88	79.21	97.08	97.02	26.05	23.52
A-K-6-5-4	3.928	=	3.878	=	=	43.35	78.55	96.84	97.99	25.84	22.96
A-K-6-5-3	3.922	=	3.875	=	3.878	43.35	78.55	97.42	97.99	25.84	22.96
A-K-6-5-2	3.922	=	3.875	=	3.878	43.35	78.55	97.42	97.99	25.84	22.96
A-K-6-4-3	3.919	=	3.867	3.875	=	43.35	78.81	97.75	98.25	25.84	22.96
A-K-6-4-2	3.919	=	3.867	3.875	3.875	43.35	78.81	97.75	98.25	25.84	22.96
A-K-6-3-2	3.919	=	3.863	3.875	=	43.35	78.81	97.75	98.25	25.84	22.96
A-K-5-4-3	3.916	=	3.867	=	=	43.59	78.86	97.98	99.07	25.84	22.96
A-K-5-4-2	3.916	=	3.867	=	3.867	43.59	78.86	97.98	99.07	25.84	22.96
A-K-5-3-2	3.916	=	3.863	3.867	=	43.59	78.86	97.98	99.07	25.84	22.96
A-K-4-3-2	3.916	=	3.863	=	=	43.59	79.27	97.98	99.49	25.84	22.96

A-Q-J	Highest	Second	Third	Fourth	Fifth	Fluidity		Unassisted		Run Five
A-Q-J-10-9	4.337	4.316	=	=	=	47.60	73.99	100	100	33.68	29.55
A-Q-J-10-8	4.313	4.282	=	=	4.063	53.05	73.99	98.79	98.79	33.19	29.55
A-Q-J-10-7	4.295	4.261	=	=	4.063	52.76	73.51	99.27	99.27	32.38	29.07
A-Q-J-10-6	4.286	4.252	=	=	4.063	52.46	72.81	99.73	99.73	31.98	28.87
A-Q-J-10-5	4.283	4.249	=	=	4.063	52.47	72.59	99.94	99.94	31.98	28.87
A-Q-J-10-4	4.282	4.248	=	=	4.063	52.47	72.65	100	100	31.98	28.87
A-Q-J-10-3	4.282	4.248	=	=	4.063	52.47	72.65	100	100	31.98	28.87
A-Q-J-10-2	4.282	4.248	=	=	4.063	52.47	72.65	100	100	31.98	28.87
A-Q-J-9-8	4.211	4.178	=	4.049	=	51.76	72.70	96.48	95.19	30.38	27.77
A-Q-J-9-7	4.187	4.144	=	4.020	4.032	51.88	72.62	95.67	94.38	30.14	27.69
A-Q-J-9-6	4.175	4.128	=	4.003	4.032	51.67	72.09	95.67	94.38	29.90	27.58
A-Q-J-9-5	4.170	4.123	=	3.996	4.032	51.67	71.83	95.72	94.43	29.90	27.58
A-Q-J-9-4	4.169	4.122	=	3.994	4.032	51.67	71.84	95.74	94.44	29.90	27.58
A-Q-J-9-3	4.169	4.122	=	3.993	4.032	51.67	71.84	95.74	94.44	29.90	27.58
A-Q-J-9-2	4.169	4.122	=	3.993	4.032	51.67	71.84	95.74	94.44	29.90	27.58
A-Q-J-8-7	4.119	4.066	=	4.013	=	49.37	69.68	96.93	96.50	26.99	25.03
A-Q-J-8-6	4.098	4.039	=	3.998	4.010	49.00	69.25	97.03	96.59	26.91	24.99
A-Q-J-8-5	4.088	4.028	=	3.991	4.010	48.87	68.94	97.22	96.79	26.91	24.99
A-Q-J-8-4	4.085	4.025	=	3.989	4.010	48.84	68.91	97.33	96.90	26.91	24.99
A-Q-J-8-3	4.085	4.025	=	3.989	4.010	48.84	68.91	97.38	96.95	26.91	24.99
A-Q-J-8-2	4.085	4.025	=	3.989	4.010	48.84	68.91	97.38	96.95	26.91	24.99
A-Q-J-7-6	4.067	4.004	=	3.997	=	48.46	66.41	97.10	97.01	26.16	24.48
A-Q-J-7-5	4.052	3.987	=	3.990	3.997	48.12	76.31	97.54	90.35	26.16	28.87
A-Q-J-7-4	4.047	3.982	=	3.987	3.997	48.06	76.31	97.80	90.35	26.16	28.87
A-Q-J-7-3	4.046	3.981	=	3.986	3.997	48.06	76.31	97.91	90.35	26.16	28.87
A-Q-J-7-2	4.046	3.981	=	3.986	3.997	48.06	76.31	97.91	90.35	26.16	28.87
A-Q-J-6-5	4.039	3.970	=	3.990	=	47.90	76.10	97.64	90.80	25.87	28.87
A-Q-J-6-4	4.031	3.962	=	3.987	3.990	47.95	76.10	98.05	90.80	25.87	28.87
A-Q-J-6-3	4.029	3.960	=	3.986	3.990	47.95	76.10	98.23	90.80	25.87	28.87
A-Q-J-6-2	4.029	3.960	=	3.986	3.990	47.95	76.10	98.23	90.80	25.87	28.87
A-Q-J-5-4	4.026	3.954	=	3.987	=	47.83	76.16	98.19	91.05	25.67	28.87
A-Q-J-5-3	4.023	3.952	=	3.986	3.987	47.83	76.16	98.43	91.05	25.67	28.87
A-Q-J-5-2	4.023	3.952	=	3.986	3.987	47.83	76.16	98.43	91.05	25.67	28.87
A-Q-J-4-3	4.022	3.948	=	3.986	=	47.87	76.24	98.54	91.13	25.67	28.87
A-Q-J-4-2	4.022	3.948	=	3.986	3.986	47.87	76.24	98.54	91.13	25.67	28.87
A-Q-J-3-2	4.022	3.946	=	3.986	=	47.87	76.24	98.54	91.13	25.67	28.87

A-Q-10	Highest	Second	Third	Fourth	Fifth	Fluidity		Unassisted		Run Five
A-Q-10-9-8	4.070	4.014	4.021	=	=	48.47	75.42	89.23	86.96	27.07	27.77
A-Q-10-9-7	4.046	3.980	3.987	=	3.946	48.58	75.34	88.42	86.07	26.83	27.69
A-Q-10-9-6	4.031	3.961	3.968	=	3.946	48.05	74.87	88.71	86.33	26.59	27.58
A-Q-10-9-5	4.023	3.954	3.961	=	3.946	47.79	74.38	89.00	86.59	26.59	27.58
A-Q-10-9-4	4.021	3.951	3.959	=	3.946	47.81	74.19	89.17	86.73	26.59	27.58
A-Q-10-9-3	4.020	3.950	3.958	=	3.946	47.81	74.25	89.23	86.80	26.59	27.58
A-Q-10-9-2	4.020	3.950	3.958	=	3.946	47.81	74.25	89.23	86.80	26.59	27.58
A-Q-10-8-7	3.980	3.901	3.895	3.922	=	47.37	76.41	88.39	85.48	25.37	27.69
A-Q-10-8-6	3.956	3.867	3.864	3.900	3.914	47.19	76.41	87.90	85.19	25.29	27.69
A-Q-10-8-5	3.944	3.852	3.851	3.890	3.914	47.00	76.41	87.90	85.19	25.29	27.69
A-Q-10-8-4	3.939	3.847	3.846	3.886	3.914	47.00	76.41	87.93	85.19	25.29	27.69
A-Q-10-8-3	3.938	3.846	3.845	3.885	3.914	47.00	76.41	87.95	85.19	25.29	27.69
A-Q-10-8-2	3.938	3.846	3.845	3.885	3.914	47.00	76.41	87.95	85.19	25.29	27.69
A-Q-10-7-6	3.921	3.825	3.817	3.896	=	46.79	76.14	87.74	85.12	24.70	27.58
A-Q-10-7-5	3.902	3.800	3.795	3.887	3.896	46.55	76.14	87.69	85.12	24.70	27.58
A-Q-10-7-4	3.895	3.791	3.787	3.884	3.896	76.14	46.51	85.12	87.72	27.58	24.70
A-Q-10-7-3	3.893	3.789	3.786	3.883	3.896	76.14	46.51	85.12	87.74	27.58	24.70
A-Q-10-7-2	3.893	3.789	3.786	3.883	3.896	76.14	46.51	85.12	87.74	27.58	24.70
A-Q-10-6-5	3.885	3.777	3.768	3.887	=	75.94	46.43	85.28	87.36	27.58	24.45
A-Q-10-6-4	3.874	3.764	3.756	3.884	3.887	75.94	75.98	85.28	85.41	27.58	27.58
A-Q-10-6-3	3.870	3.761	3.753	3.883	3.887	75.94	76.03	85.28	85.46	27.58	27.58
A-Q-10-6-2	3.870	3.761	3.753	3.883	3.887	75.94	76.03	85.28	85.46	27.58	27.58
A-Q-10-5-4	3.866	3.752	3.741	3.884	=	75.98	46.32	85.41	87.17	27.58	24.25
A-Q-10-5-3	3.861	3.748	3.737	3.883	3.884	75.98	76.03	85.41	85.46	27.58	27.58
A-Q-10-5-2	3.861	3.748	3.737	3.883	3.884	75.98	76.03	85.41	85.46	27.58	27.58
A-Q-10-4-3	3.859	3.743	3.730	3.883	=	76.03	46.35	85.46	87.11	27.58	24.25
A-Q-10-4-2	3.859	3.743	3.730	3.883	3.883	76.03	76.03	85.46	85.46	27.58	27.58
A-Q-10-3-2	3.859	3.740	3.728	3.883	=	76.03	46.35	85.46	87.11	27.58	24.25

A-Q-9	Highest	Second	Third	Fourth	Fifth	Fluidity		Unassisted		Run Five
A-Q-9-8-7	3.872	3.747	3.860	=	=	43.37	74.77	88.94	85.04	22.59	25.03
A-Q-9-8-6	3.847	3.713	3.829	=	3.842	43.32	75.63	88.45	84.75	22.51	25.03
A-Q-9-8-5	3.835	3.698	3.816	=	3.842	75.63	43.00	84.75	88.50	25.03	22.51
A-Q-9-8-4	3.830	3.692	3.811	=	3.842	75.63	43.00	84.75	88.57	25.03	22.51
A-Q-9-8-3	3.829	3.691	3.810	=	3.842	75.63	43.00	84.75	88.60	25.03	22.51
A-Q-9-8-2	3.829	3.691	3.810	=	3.842	75.63	43.00	84.75	88.60	25.03	22.51
A-Q-9-7-6	3.813	3.664	3.782	3.815	=	75.39	42.86	84.26	88.13	24.99	21.99
A-Q-9-7-5	3.791	3.633	3.761	3.803	3.815	75.39	75.13	84.26	84.45	24.99	24.99
A-Q-9-7-4	3.781	3.621	3.754	3.798	3.815	75.39	75.11	84.26	84.62	24.99	24.99
A-Q-9-7-3	3.778	3.617	3.752	3.798	3.815	75.39	75.16	84.26	84.67	24.99	24.99
A-Q-9-7-2	3.778	3.617	3.752	3.798	3.815	75.39	75.16	84.26	84.67	24.99	24.99
A-Q-9-6-5	3.774	3.605	3.733	3.803	=	75.13	42.68	84.36	87.56	24.99	21.80
A-Q-9-6-4	3.758	3.585	3.723	3.798	3.803	75.13	75.11	84.36	84.49	24.99	24.99
A-Q-9-6-3	3.753	3.579	3.721	3.798	3.803	75.13	75.16	84.36	84.54	24.99	24.99
A-Q-9-6-2	3.753	3.578	3.721	3.798	3.803	75.13	75.16	84.36	84.54	24.99	24.99
A-Q-9-5-4	3.752	3.569	3.708	3.798	=	75.11	42.58	84.49	87.23	24.99	21.66
A-Q-9-5-3	3.744	3.561	3.705	3.798	3.798	75.11	75.16	84.49	84.54	24.99	24.99
A-Q-9-5-2	3.744	3.559	3.705	3.798	3.798	75.11	75.16	84.49	84.54	24.99	24.99
A-Q-9-4-3	3.742	3.554	3.698	3.798	=	75.16	42.60	84.54	87.09	24.99	21.66
A-Q-9-4-2	3.742	3.552	3.698	3.798	3.798	75.16	75.16	84.54	84.54	24.99	24.99
A-Q-9-3-2	3.742	3.549	3.695	3.798	=	75.16	42.60	84.54	87.09	24.99	21.66

A-Q-x	Highest	Second	Third	Fourth	Fifth	Fluidity		Unassisted		Run Five
A-Q-8-7-6	3.755	3.583	3.771	=	=	74.06	41.98	85.11	89.10	24.24	20.72
A-Q-8-7-5	3.732	3.552	3.752	=	3.769	74.06	73.77	85.11	85.40	24.24	24.24
A-Q-8-7-4	3.722	3.539	3.746	=	3.769	74.06	73.70	85.11	85.61	24.24	24.24
A-Q-8-7-3	3.719	3.536	3.745	=	3.769	74.06	73.72	85.11	85.66	24.24	24.24
A-Q-8-7-2	3.719	3.535	3.745	=	3.769	74.06	73.72	85.11	85.66	24.24	24.24
A-Q-8-6-5	3.715	3.522	3.727	3.750	=	73.77	73.48	85.20	85.76	24.24	23.52
A-Q-8-6-4	3.696	3.498	3.718	3.744	3.750	73.77	73.70	85.20	85.35	24.24	24.24
A-Q-8-6-3	3.690	3.490	3.716	3.743	3.750	73.77	73.72	85.20	85.40	24.24	24.24
A-Q-8-6-2	3.690	3.488	3.716	3.743	3.750	73.77	73.72	85.20	85.40	24.24	24.24
A-Q-8-5-4	3.689	3.482	3.704	3.744	=	73.70	72.85	85.35	86.51	24.24	22.96
A-Q-8-5-3	3.680	3.470	3.701	3.743	3.744	73.70	73.72	85.35	85.40	24.24	24.24
A-Q-8-5-2	3.680	3.467	3.701	3.743	3.744	73.70	73.72	85.35	85.40	24.24	24.24
A-Q-8-4-3	3.678	3.463	3.695	3.743	=	73.72	72.82	85.40	86.97	24.24	22.96
A-Q-8-4-2	3.678	3.459	3.695	3.743	3.743	73.72	73.72	85.40	85.40	24.24	24.24
A-Q-8-3-2	3.678	3.457	3.692	3.743	=	73.72	73.12	85.40	87.13	24.24	22.96
A-Q-7-6-5	3.689	3.489	3.726	=	=	73.48	41.12	85.76	88.96	23.52	19.80
A-Q-7-6-4	3.670	3.465	3.717	=	3.726	73.48	73.59	85.76	86.00	23.52	23.52
A-Q-7-6-3	3.664	3.457	3.715	=	3.726	73.48	73.62	85.76	86.08	23.52	23.52
A-Q-7-6-2	3.664	3.456	3.715	=	3.726	73.48	73.62	85.76	86.08	23.52	23.52
A-Q-7-5-4	3.662	3.445	3.703	3.717	=	73.59	72.93	86.00	86.59	23.52	22.96
A-Q-7-5-3	3.651	3.431	3.700	3.715	3.717	73.59	73.62	86.00	86.08	23.52	23.52
A-Q-7-5-2	3.651	3.428	3.700	3.715	3.717	73.59	73.62	86.00	86.08	23.52	23.52
A-Q-7-4-3	3.649	3.423	3.693	3.715	=	73.62	73.02	86.08	87.17	23.52	22.96
A-Q-7-4-2	3.649	3.418	3.693	3.715	3.715	73.62	73.62	86.08	86.08	23.52	23.52
A-Q-7-3-2	3.649	3.416	3.689	3.715	=	73.62	73.43	86.08	87.45	23.52	22.96
A-Q-6-5-4	3.652	3.432	3.703	=	=	72.93	40.76	86.59	88.60	22.96	19.80
A-Q-6-5-3	3.641	3.418	3.700	=	3.703	72.93	73.05	86.59	86.72	22.96	22.96
A-Q-6-5-2	3.641	3.415	3.700	=	3.703	72.93	73.05	86.59	86.72	22.96	22.96
A-Q-6-4-3	3.638	3.407	3.693	3.700	=	73.05	73.02	86.72	87.17	22.96	22.96
A-Q-6-4-2	3.638	3.402	3.693	3.700	3.700	73.05	73.05	86.72	86.72	22.96	22.96
A-Q-6-3-2	3.638	3.399	3.689	3.700	=	73.05	73.43	86.72	87.45	22.96	22.96
A-Q-5-4-3	3.635	3.402	3.693	=	=	73.02	40.90	87.17	88.31	22.96	19.80
A-Q-5-4-2	3.635	3.396	3.693	=	3.693	73.02	73.02	87.17	87.17	22.96	22.96
A-Q-5-3-2	3.635	3.393	3.689	3.693	=	73.02	73.43	87.17	87.45	22.96	22.96
A-Q-4-3-2	3.635	3.391	3.689	=	=	73.43	40.90	87.45	88.31	22.96	19.80

A-J-10	Highest	Second	Third	Fourth	Fifth	Fluidity		Unassisted		Run Five
A-J-10-9-8	3.805	3.940	=	=	=	64.94	36.94	85.22	100	25.06	15.51
A-J-10-9-7	3.789	3.906	=	=	3.781	64.86	37.34	84.33	99.19	24.98	15.51
A-J-10-9-6	3.777	3.887	=	=	3.781	64.07	68.43	84.68	87.21	24.86	23.63
A-J-10-9-5	3.770	3.879	=	=	3.781	63.57	68.43	84.99	87.21	24.86	23.63
A-J-10-9-4	3.768	3.877	=	=	3.781	63.60	68.43	85.15	87.21	24.86	23.63
A-J-10-9-3	3.767	3.876	=	=	3.781	63.60	68.43	85.22	87.21	24.86	23.63
A-J-10-9-2	3.767	3.876	=	=	3.781	63.60	68.43	85.22	87.21	24.86	23.63
A-J-10-8-7	3.700	3.818	=	3.756	=	62.35	68.35	82.65	86.15	23.60	23.55
A-J-10-8-6	3.684	3.784	=	3.731	3.749	62.11	68.35	82.10	85.86	23.57	23.55
A-J-10-8-5	3.675	3.769	=	3.720	3.749	61.74	68.35	82.10	85.86	23.57	23.55
A-J-10-8-4	3.671	3.764	=	3.715	3.749	61.74	68.35	82.13	85.86	23.57	23.55
A-J-10-8-3	3.670	3.763	=	3.714	3.749	61.74	68.35	82.15	85.86	23.57	23.55
A-J-10-8-2	3.670	3.763	=	3.714	3.749	61.74	68.35	82.15	85.86	23.57	23.55
A-J-10-7-6	3.640	3.732	=	3.728	=	59.79	67.95	82.26	86.09	22.82	23.44
A-J-10-7-5	3.626	3.707	=	3.717	3.728	67.95	67.64	86.09	86.54	23.44	23.44
A-J-10-7-4	3.619	3.698	=	3.713	3.728	67.95	67.74	86.09	86.77	23.44	23.44
A-J-10-7-3	3.617	3.696	=	3.712	3.728	67.95	67.79	86.09	86.82	23.44	23.44
A-J-10-7-2	3.617	3.696	=	3.712	3.728	67.95	67.79	86.09	86.82	23.44	23.44
A-J-10-6-5	3.605	3.677	=	3.717	=	67.64	58.52	86.45	82.34	23.44	22.09
A-J-10-6-4	3.595	3.664	=	3.713	3.717	67.64	67.74	86.45	86.64	23.44	23.44
A-J-10-6-3	3.591	3.661	=	3.712	3.717	67.64	67.79	86.45	86.69	23.44	23.44
A-J-10-6-2	3.591	3.661	=	3.712	3.717	67.64	67.79	86.45	86.69	23.44	23.44
A-J-10-5-4	3.587	3.648	=	3.713	=	67.74	57.55	86.64	82.63	23.44	21.54
A-J-10-5-3	3.582	3.644	=	3.712	3.713	67.74	67.79	86.64	86.69	23.44	23.44
A-J-10-5-2	3.582	3.644	=	3.712	3.713	67.74	67.79	86.64	86.69	23.44	23.44
A-J-10-4-3	3.580	3.637	=	3.712	=	67.79	57.47	86.69	82.84	23.44	21.54
A-J-10-4-2	3.580	3.637	=	3.712	3.712	67.79	67.79	86.69	86.69	23.44	23.44
A-J-10-3-2	3.580	3.635	=	3.712	=	67.79	57.66	86.69	82.94	23.44	21.54

A-J-9	Highest	Second	Third	Fourth	Fifth	Fluidity		Unassisted		Run Five
A-J-9-8-7	3.570	3.637	3.706	=	=	66.28	55.79	83.83	86.41	22.18	17.87
A-J-9-8-6	3.554	3.603	3.673	=	3.673	67.66	66.03	84.70	83.15	22.18	22.15
A-J-9-8-5	3.544	3.587	3.657	=	3.673	67.66	65.56	84.70	83.20	22.18	22.15
A-J-9-8-4	3.539	3.582	3.652	=	3.673	67.66	65.47	84.70	83.23	22.18	22.15
A-J-9-8-3	3.538	3.581	3.651	=	3.673	67.66	65.47	84.70	83.23	22.18	22.15
A-J-9-8-2	3.538	3.581	3.651	=	3.673	67.66	65.47	84.70	83.23	22.18	22.15
A-J-9-7-6	3.507	3.550	3.612	3.643	=	67.41	65.26	83.63	83.68	22.15	21.39
A-J-9-7-5	3.492	3.519	3.587	3.628	3.642	67.41	67.04	83.73	83.78	22.15	22.15
A-J-9-7-4	3.484	3.507	3.578	3.622	3.642	67.41	67.04	83.73	83.99	22.15	22.15
A-J-9-7-3	3.481	3.504	3.576	3.621	3.642	67.41	67.09	83.73	84.10	22.15	22.15
A-J-9-7-2	3.481	3.503	3.576	3.620	3.642	67.41	67.09	83.73	84.15	22.15	22.15
A-J-9-6-5	3.470	3.487	3.551	3.627	=	67.04	64.96	83.73	84.64	22.15	20.67
A-J-9-6-4	3.459	3.467	3.538	3.622	3.627	67.04	67.04	83.73	83.89	22.15	22.15
A-J-9-6-3	3.455	3.462	3.534	3.620	3.627	67.04	67.09	83.73	83.99	22.15	22.15
A-J-9-6-2	3.455	3.461	3.533	3.620	3.627	67.04	67.09	83.73	84.02	22.15	22.15
A-J-9-5-4	3.451	3.449	3.518	3.622	=	67.04	64.39	83.89	85.83	22.15	20.12
A-J-9-5-3	3.445	3.440	3.513	3.620	3.622	67.04	67.09	83.89	83.99	22.15	22.15
A-J-9-5-2	3.445	3.439	3.511	3.620	3.622	67.04	67.09	83.89	84.02	22.15	22.15
A-J-9-4-3	3.443	3.432	3.503	3.620	=	67.09	64.43	83.99	86.83	22.15	20.12
A-J-9-4-2	3.443	3.430	3.501	3.620	3.620	67.09	67.09	83.99	84.02	22.15	22.15
A-J-9-3-2	3.443	3.427	3.498	3.620	=	67.09	64.63	84.02	87.35	22.15	20.12

A-J-x	Highest	Second	Third	Fourth	Fifth	Fluidity		Unassisted		Run Five
A-J-8-7-6	3.433	3.443	3.594	=	=	66.13	51.89	84.10	90.47	21.39	14.18
A-J-8-7-5	3.418	3.412	3.571	=	3.590	66.13	65.74	84.19	84.15	21.39	21.39
A-J-8-7-4	3.411	3.400	3.563	=	3.590	66.13	65.64	84.19	84.37	21.39	21.39
A-J-8-7-3	3.408	3.397	3.561	=	3.590	66.13	65.66	84.19	84.50	21.39	21.39
A-J-8-7-2	3.408	3.396	3.560	=	3.590	66.13	65.66	84.19	84.55	21.39	21.39
A-J-8-6-5	3.393	3.381	3.538	3.567	=	65.74	65.30	84.00	84.49	21.39	20.67
A-J-8-6-4	3.381	3.358	3.526	3.559	3.567	65.74	65.64	84.00	84.15	21.39	21.39
A-J-8-6-3	3.376	3.351	3.523	3.557	3.567	65.74	65.66	84.00	84.26	21.39	21.39
A-J-8-6-2	3.376	3.349	3.522	3.556	3.567	65.74	65.66	84.00	84.29	21.39	21.39
A-J-8-5-4	3.372	3.342	3.509	3.559	=	65.64	64.50	84.15	85.31	21.39	20.12
A-J-8-5-3	3.365	3.330	3.504	3.557	3.559	65.64	65.66	84.15	84.26	21.39	21.39
A-J-8-5-2	3.365	3.328	3.503	3.556	3.559	65.64	65.66	84.15	84.29	21.39	21.39
A-J-8-4-3	3.364	3.323	3.496	3.557	=	65.66	64.47	84.26	86.07	21.39	20.12
A-J-8-4-2	3.364	3.320	3.494	3.556	3.557	65.66	65.66	84.26	84.29	21.39	21.39
A-J-8-3-2	3.364	3.318	3.491	3.556	=	65.66	64.71	84.29	86.44	21.39	20.12
A-J-7-6-5	3.360	3.340	3.537	=	=	65.30	37.09	84.53	97.37	20.67	14.13
A-J-7-6-4	3.348	3.316	3.524	=	3.537	65.30	65.27	84.53	84.79	20.67	20.67
A-J-7-6-3	3.343	3.309	3.521	=	3.537	65.30	65.30	84.53	84.99	20.67	20.67
A-J-7-6-2	3.343	3.308	3.521	=	3.537	65.30	65.30	84.53	85.05	20.67	20.67
A-J-7-5-4	3.336	3.296	3.507	3.524	=	65.27	64.58	84.79	85.42	20.67	20.12
A-J-7-5-3	3.328	3.283	3.503	3.521	3.524	65.27	65.30	84.79	84.99	20.67	20.67
A-J-7-5-2	3.328	3.280	3.502	3.521	3.524	65.27	65.30	84.79	85.05	20.67	20.67
A-J-7-4-3	3.326	3.275	3.494	3.521	=	65.30	64.67	84.99	86.28	20.67	20.12
A-J-7-4-2	3.326	3.271	3.492	3.521	3.521	65.30	65.30	84.99	85.05	20.67	20.67
A-J-7-3-2	3.326	3.269	3.488	3.521	=	65.30	65.02	85.05	86.75	20.67	20.12
A-J-6-5-4	3.323	3.280	3.507	=	=	64.58	36.67	85.42	97.60	20.12	14.13
A-J-6-5-3	3.315	3.267	3.503	=	3.507	64.58	64.71	85.42	85.71	20.12	20.12
A-J-6-5-2	3.315	3.264	3.502	=	3.507	64.58	64.71	85.42	85.81	20.12	20.12
A-J-6-4-3	3.312	3.256	3.494	3.503	=	64.71	64.67	85.71	86.28	20.12	20.12
A-J-6-4-2	3.312	3.251	3.492	3.502	3.503	64.71	64.71	85.71	85.81	20.12	20.12
A-J-6-3-2	3.312	3.249	3.488	3.502	=	64.71	65.02	85.81	86.75	20.12	20.12
A-J-5-4-3	3.309	3.250	3.494	=	=	64.67	36.79	86.28	97.66	20.12	14.13
A-J-5-4-2	3.309	3.245	3.492	=	3.494	64.67	64.67	86.28	86.41	20.12	20.12
A-J-5-3-2	3.309	3.242	3.488	3.492	=	64.67	65.02	86.41	86.75	20.12	20.12
A-J-4-3-2	3.309	3.240	3.488	=	=	65.02	36.79	86.75	97.66	20.12	14.13

A-10-9	Highest	Second	Third	Fourth	Fifth	Fluidity		Unassisted		Run Five
A-10-9-8-7	3.440	3.598	=	=	=	58.81	32.66	85.30	100	16.45	10.72
A-10-9-8-6	3.430	3.564	=	=	3.562	58.76	58.90	84.63	86.72	16.42	16.45
A-10-9-8-5	3.423	3.548	=	=	3.562	58.90	58.04	86.72	84.72	16.45	16.42
A-10-9-8-4	3.419	3.543	=	=	3.562	58.90	57.83	86.72	84.77	16.45	16.42
A-10-9-8-3	3.418	3.542	=	=	3.562	58.90	57.83	86.72	84.77	16.45	16.42
A-10-9-8-2	3.418	3.542	=	=	3.562	58.90	57.83	86.72	84.77	16.45	16.42
A-10-9-7-6	3.370	3.509	=	3.532	=	58.85	59.39	85.66	84.90	16.42	15.90
A-10-9-7-5	3.361	3.480	=	3.515	3.531	58.85	58.32	85.75	85.95	16.42	16.42
A-10-9-7-4	3.356	3.468	=	3.508	3.531	58.85	58.30	85.75	86.27	16.42	16.42
A-10-9-7-3	3.355	3.465	=	3.506	3.531	58.85	58.40	85.75	86.43	16.42	16.42
A-10-9-7-2	3.355	3.465	=	3.506	3.531	58.85	58.40	85.75	86.48	16.42	16.42
A-10-9-6-5	3.335	3.444	=	3.515	=	58.32	60.07	85.90	85.98	16.42	15.41
A-10-9-6-4	3.328	3.426	=	3.508	3.515	58.32	58.30	85.90	86.17	16.42	16.42
A-10-9-6-3	3.325	3.421	=	3.506	3.515	58.32	58.40	85.90	86.32	16.42	16.42
A-10-9-6-2	3.325	3.420	=	3.506	3.515	58.32	58.40	85.90	86.35	16.42	16.42
A-10-9-5-4	3.319	3.406	=	3.508	=	58.30	59.85	86.17	87.31	16.42	14.98
A-10-9-5-3	3.315	3.399	=	3.506	3.508	58.30	58.40	86.17	86.32	16.42	16.42
A-10-9-5-2	3.315	3.398	=	3.506	3.508	58.30	58.40	86.17	86.35	16.42	16.42
A-10-9-4-3	3.313	3.390	=	3.506	=	58.40	59.80	86.32	88.42	16.42	14.98
A-10-9-4-2	3.313	3.388	=	3.506	3.506	58.40	58.40	86.32	86.35	16.42	16.42
A-10-9-3-2	3.313	3.385	=	3.506	=	58.40	59.99	86.35	88.94	16.42	14.98

A-10-x	Highest	Second	Third	Fourth	Fifth	Fluidity		Unassisted		Run Five
A-10-8-7-6	3.286	3.403	3.481	=	=	60.00	52.28	85.86	88.60	15.90	13.46
A-10-8-7-5	3.277	3.374	3.453	=	3.474	60.00	59.86	85.96	85.91	15.90	15.90
A-10-8-7-4	3.273	3.362	3.442	=	3.474	60.00	59.82	85.96	86.22	15.90	15.90
A-10-8-7-3	3.271	3.359	3.439	=	3.474	60.00	59.89	85.96	86.40	15.90	15.90
A-10-8-7-2	3.271	3.359	3.439	=	3.474	60.00	59.89	85.96	86.44	15.90	15.90
A-10-8-6-5	3.244	3.342	3.416	3.447	=	59.86	60.48	85.67	86.15	15.90	15.41
A-10-8-6-4	3.237	3.321	3.399	3.436	3.447	59.86	59.82	85.67	85.86	15.90	15.90
A-10-8-6-3	3.234	3.314	3.395	3.433	3.447	59.86	59.89	85.67	86.02	15.90	15.90
A-10-8-6-2	3.234	3.312	3.394	3.433	3.447	59.86	59.89	85.67	86.06	15.90	15.90
A-10-8-5-4	3.226	3.305	3.381	3.436	=	59.82	60.18	85.86	86.89	15.90	14.98
A-10-8-5-3	3.222	3.295	3.374	3.433	3.436	59.82	59.89	85.86	86.02	15.90	15.90
A-10-8-5-2	3.222	3.292	3.373	3.433	3.436	59.82	59.89	85.86	86.06	15.90	15.90
A-10-8-4-3	3.220	3.288	3.366	3.433	=	59.89	60.10	86.02	87.60	15.90	14.98
A-10-8-4-2	3.220	3.284	3.365	3.433	3.433	59.89	59.89	86.02	86.06	15.90	15.90
A-10-8-3-2	3.220	3.281	3.362	3.433	=	59.89	60.34	86.06	87.89	15.90	14.98
A-10-7-6-5	3.208	3.298	3.413	=	=	60.48	49.08	86.20	90.91	15.41	12.13
A-10-7-6-4	3.201	3.277	3.397	=	3.413	60.48	60.51	86.20	86.49	15.41	15.41
A-10-7-6-3	3.198	3.270	3.393	=	3.413	60.48	60.58	86.20	86.75	15.41	15.41
A-10-7-6-2	3.198	3.268	3.392	=	3.413	60.48	60.58	86.20	86.81	15.41	15.41
A-10-7-5-4	3.184	3.256	3.379	3.397	=	60.51	60.26	86.49	87.00	15.41	14.98
A-10-7-5-3	3.180	3.244	3.373	3.393	3.397	60.51	60.58	86.49	86.75	15.41	15.41
A-10-7-5-2	3.180	3.240	3.372	3.392	3.397	60.51	60.58	86.49	86.81	15.41	15.41
A-10-7-4-3	3.177	3.235	3.364	3.393	=	60.58	60.30	86.75	87.81	15.41	14.98
A-10-7-4-2	3.177	3.229	3.363	3.392	3.393	60.58	60.58	86.75	86.81	15.41	15.41
A-10-7-3-2	3.177	3.226	3.358	3.392	=	60.58	60.65	86.81	88.20	15.41	14.98
A-10-6-5-4	3.170	3.236	3.379	=	=	60.26	46.99	87.00	93.11	14.98	12.05
A-10-6-5-3	3.166	3.224	3.373	=	3.379	60.26	60.39	87.00	87.39	14.98	14.98
A-10-6-5-2	3.166	3.220	3.372	=	3.379	60.26	60.39	87.00	87.49	14.98	14.98
A-10-6-4-3	3.162	3.212	3.364	3.373	=	60.39	60.30	87.39	87.81	14.98	14.98
A-10-6-4-2	3.162	3.206	3.363	3.372	3.373	60.39	60.39	87.39	87.49	14.98	14.98
A-10-6-3-2	3.162	3.201	3.358	3.372	=	60.39	60.65	87.49	88.20	14.98	14.98
A-10-5-4-3	3.159	3.204	3.364	=	=	60.30	46.49	87.81	95.19	14.98	12.05
A-10-5-4-2	3.159	3.198	3.363	=	3.364	60.30	60.30	87.81	87.94	14.98	14.98
A-10-5-3-2	3.159	3.192	3.358	3.363	=	60.30	60.65	87.94	88.20	14.98	14.98
A-10-4-3-2	3.159	3.189	3.358	=	=	60.65	46.76	88.20	96.75	14.98	12.05

A-9-x	Highest	Second	Third	Fourth	Fifth	Fluidity		Unassisted		Run Five
A-9-8-7-6	3.237	3.393	=	=	=	52.40	27.12	88.39	100	13.46	8.62
A-9-8-7-5	3.233	3.365	=	=	3.386	52.40	52.49	88.91	88.44	13.46	13.46
A-9-8-7-4	3.231	3.354	=	=	3.386	52.40	52.46	88.91	88.78	13.46	13.46
A-9-8-7-3	3.229	3.351	=	=	3.386	52.40	52.54	88.91	88.97	13.46	13.46
A-9-8-7-2	3.229	3.351	=	=	3.386	52.40	52.54	88.91	89.02	13.46	13.46
A-9-8-6-5	3.196	3.333	=	3.359	=	52.49	52.74	88.62	88.54	13.46	13.34
A-9-8-6-4	3.194	3.312	=	3.348	3.359	52.49	52.46	88.62	88.85	13.46	13.46
A-9-8-6-3	3.193	3.306	=	3.345	3.359	52.49	52.54	88.62	89.03	13.46	13.46
A-9-8-6-2	3.193	3.305	=	3.345	3.359	52.49	52.54	88.62	89.06	13.46	13.46
A-9-8-5-4	3.182	3.297	=	3.348	=	52.46	52.51	88.85	89.45	13.46	13.10
A-9-8-5-3	3.181	3.287	=	3.345	3.348	52.46	52.54	88.85	89.03	13.46	13.46
A-9-8-5-2	3.181	3.285	=	3.345	3.348	52.46	52.54	88.85	89.06	13.46	13.46
A-9-8-4-3	3.179	3.281	=	3.345	=	52.54	52.28	89.03	90.47	13.46	13.10
A-9-8-4-2	3.179	3.278	=	3.345	3.345	52.54	52.54	89.03	89.06	13.46	13.46
A-9-8-3-2	3.179	3.274	=	3.345	=	52.54	52.40	89.06	91.06	13.46	13.10
A-9-7-6-5	3.151	3.289	3.327	=	=	52.74	49.31	89.01	90.82	13.34	12.13
A-9-7-6-4	3.149	3.268	3.307	=	3.325	52.74	52.85	89.27	89.46	13.34	13.34
A-9-7-6-3	3.147	3.262	3.301	=	3.325	52.74	52.93	89.27	89.85	13.34	13.34
A-9-7-6-2	3.147	3.261	3.300	=	3.325	52.74	52.93	89.27	89.98	13.34	13.34
A-9-7-5-4	3.127	3.247	3.289	3.305	=	52.85	52.59	89.72	90.24	13.34	13.10
A-9-7-5-3	3.126	3.236	3.279	3.299	3.305	52.85	52.93	89.72	90.11	13.34	13.34
A-9-7-5-2	3.126	3.233	3.277	3.297	3.305	52.85	52.93	89.72	90.24	13.34	13.34
A-9-7-4-3	3.123	3.227	3.270	3.299	=	52.93	52.48	90.11	91.56	13.34	13.10
A-9-7-4-2	3.123	3.222	3.267	3.297	3.299	52.93	52.93	90.11	90.24	13.34	13.34
A-9-7-3-2	3.123	3.218	3.261	3.297	=	52.93	52.72	90.24	92.39	13.34	13.10
A-9-6-5-4	3.109	3.225	3.287	=	=	52.59	47.58	90.37	93.40	13.10	12.05
A-9-6-5-3	3.108	3.213	3.278	=	3.287	52.59	52.72	90.37	91.02	13.10	13.10
A-9-6-5-2	3.108	3.210	3.276	=	3.287	52.59	52.72	90.37	91.25	13.10	13.10
A-9-6-4-3	3.103	3.203	3.269	3.278	=	52.72	52.48	91.02	91.63	13.10	13.10
A-9-6-4-2	3.103	3.197	3.266	3.276	3.278	52.72	52.72	91.02	91.25	13.10	13.10
A-9-6-3-2	3.103	3.193	3.261	3.276	=	52.72	52.72	91.25	92.39	13.10	13.10
A-9-5-4-3	3.099	3.193	3.269	=	=	52.48	47.38	91.63	95.63	13.10	12.05
A-9-5-4-2	3.099	3.188	3.266	=	3.269	52.48	52.48	91.63	91.95	13.10	13.10
A-9-5-3-2	3.099	3.182	3.261	3.266	=	52.48	52.72	91.95	92.39	13.10	13.10
A-9-4-3-2	3.099	3.179	3.261	=	=	52.72	47.67	92.39	97.02	13.10	12.05

A-x-x	Highest	Second	Third	Fourth	Fifth	Fluidity		Unassisted		Run Five
A-8-7-6-5	3.131	3.285	=	=	=	49.45	23.59	90.89	100	12.13	8.05
A-8-7-6-4	3.131	3.265	=	=	3.280	49.45	49.58	91.41	91.35	12.13	12.13
A-8-7-6-3	3.131	3.259	=	=	3.280	49.45	49.64	91.41	91.74	12.13	12.13
A-8-7-6-2	3.131	3.258	=	=	3.280	49.45	49.64	91.41	91.86	12.13	12.13
A-8-7-5-4	3.110	3.244	=	3.260	=	49.58	49.79	91.86	92.04	12.13	12.13
A-8-7-5-3	3.110	3.233	=	3.254	3.260	49.58	49.64	91.86	92.25	12.13	12.13
A-8-7-5-2	3.110	3.230	=	3.253	3.260	49.58	49.64	91.86	92.38	12.13	12.13
A-8-7-4-3	3.106	3.224	=	3.254	=	49.64	49.66	92.25	93.50	12.13	12.13
A-8-7-4-2	3.106	3.219	=	3.253	3.254	49.64	49.64	92.25	92.38	12.13	12.13
A-8-7-3-2	3.106	3.214	=	3.253	=	49.64	49.76	92.38	94.45	12.13	12.13
A-8-6-5-4	3.087	3.218	3.242	=	=	49.79	47.90	92.30	93.72	12.13	12.05
A-8-6-5-3	3.087	3.207	3.230	=	3.242	49.79	49.86	92.30	93.11	12.13	12.13
A-8-6-5-2	3.087	3.204	3.227	=	3.242	49.79	49.86	92.30	93.42	12.13	12.13
A-8-6-4-3	3.081	3.198	3.223	3.230	=	49.86	49.66	93.11	93.63	12.13	12.13
A-8-6-4-2	3.081	3.192	3.218	3.227	3.230	49.86	49.86	93.11	93.42	12.13	12.13
A-8-6-3-2	3.081	3.189	3.214	3.227	=	49.86	49.76	93.42	94.45	12.13	12.13
A-8-5-4-3	3.076	3.186	3.223	=	=	49.66	47.86	93.63	96.03	12.13	12.05
A-8-5-4-2	3.076	3.180	3.218	=	3.223	49.66	49.66	93.63	94.12	12.13	12.13
A-8-5-3-2	3.076	3.176	3.214	3.218	=	49.66	49.76	94.12	94.45	12.13	12.13
A-8-4-3-2	3.076	3.172	3.214	=	=	49.76	48.27	94.45	97.47	12.13	12.05
A-7-6-5-4	3.080	3.218	=	=	=	47.90	21.92	93.72	100	12.05	8.05
A-7-6-5-3	3.080	3.207	=	=	3.218	47.90	47.90	93.72	94.53	12.05	12.05
A-7-6-5-2	3.080	3.204	=	=	3.218	47.90	47.90	93.72	94.84	12.05	12.05
A-7-6-4-3	3.074	3.198	=	3.207	=	47.90	47.90	94.53	95.09	12.05	12.05
A-7-6-4-2	3.074	3.192	=	3.204	3.207	47.90	47.90	94.53	94.84	12.05	12.05
A-7-6-3-2	3.074	3.189	=	3.204	=	47.90	47.90	94.84	96.00	12.05	12.05
A-7-5-4-3	3.068	3.186	3.198	=	=	47.90	47.86	95.09	96.03	12.05	12.05
A-7-5-4-2	3.068	3.180	3.192	=	3.198	47.90	47.90	95.09	95.66	12.05	12.05
A-7-5-3-2	3.068	3.176	3.189	3.192	=	47.90	47.90	95.66	96.00	12.05	12.05
A-7-4-3-2	3.068	3.172	3.189	=	=	47.90	48.27	96.00	97.47	12.05	12.05
A-6-5-4-3	3.065	3.186	=	=	=	47.86	20.69	96.03	100	12.05	8.05
A-6-5-4-2	3.065	3.180	=	=	3.186	47.86	47.86	96.03	96.60	12.05	12.05
A-6-5-3-2	3.065	3.176	=	3.180	=	47.86	47.86	96.60	97.05	12.05	12.05
A-6-4-3-2	3.065	3.172	3.176	=	=	47.86	48.27	97.05	97.47	12.05	12.05
A-5-4-3-2	3.065	3.172	=	=	=	48.27	20.69	97.47	100	12.05	8.05

Study 8C09   Main

Top   Leading from Five

King Holdings

K-Q-J	Highest	Second	Third	Fourth	Fifth	Fluidity		Unassisted		Run Five
K-Q-J-10-9	4.316	=	=	=	=	45.54	=	100	=	29.55	=
K-Q-J-10-8	4.282	=	=	=	3.871	50.99	46.83	98.79	100	29.55	29.55
K-Q-J-10-7	4.261	=	=	=	3.871	50.70	46.83	99.27	100	29.07	29.55
K-Q-J-10-6	4.252	=	=	=	3.871	50.40	46.83	99.73	100	28.87	29.55
K-Q-J-10-5	4.249	=	=	=	3.871	50.41	46.83	99.94	100	28.87	29.55
K-Q-J-10-4	4.248	=	=	=	3.871	50.41	46.83	100	100	28.87	29.55
K-Q-J-10-3	4.248	=	=	=	3.871	50.41	46.83	100	100	28.87	29.55
K-Q-J-10-2	4.248	=	=	=	3.871	50.41	46.83	100	100	28.87	29.55
K-Q-J-9-8	4.178	=	=	3.866	=	49.70	52.28	95.19	99.27	27.77	29.55
K-Q-J-9-7	4.144	=	=	3.839	3.850	49.81	48.65	94.38	98.63	27.69	29.55
K-Q-J-9-6	4.128	=	=	3.823	3.850	49.60	48.65	94.38	98.63	27.58	29.55
K-Q-J-9-5	4.123	=	=	3.816	3.850	49.60	48.65	94.43	98.63	27.58	29.55
K-Q-J-9-4	4.122	=	=	3.814	3.850	49.60	48.65	94.44	98.63	27.58	29.55
K-Q-J-9-3	4.122	=	=	3.813	3.850	49.60	48.65	94.44	98.63	27.58	29.55
K-Q-J-9-2	4.122	=	=	3.813	3.850	49.60	48.65	94.44	98.63	27.58	29.55
K-Q-J-8-7	4.066	=	=	3.832	=	47.31	48.68	96.50	98.54	25.03	29.07
K-Q-J-8-6	4.039	=	=	3.818	3.830	46.94	48.68	96.59	98.84	24.99	29.07
K-Q-J-8-5	4.028	=	=	3.811	3.830	46.81	48.68	96.79	98.84	24.99	29.07
K-Q-J-8-4	4.025	=	=	3.809	3.830	46.77	48.68	96.90	98.84	24.99	29.07
K-Q-J-8-3	4.025	=	=	3.808	3.830	46.77	48.68	96.95	98.84	24.99	29.07
K-Q-J-8-2	4.025	=	=	3.808	3.830	46.77	48.68	96.95	98.84	24.99	29.07
K-Q-J-7-6	4.004	=	=	3.817	=	46.40	49.22	97.01	99.22	24.48	28.87
K-Q-J-7-5	3.987	=	=	3.810	3.817	46.06	49.22	97.45	99.22	24.48	28.87
K-Q-J-7-4	3.982	=	=	3.807	3.817	46.00	49.22	97.71	99.22	24.48	28.87
K-Q-J-7-3	3.981	=	=	3.806	3.817	46.00	49.22	97.82	99.22	24.48	28.87
K-Q-J-7-2	3.981	=	=	3.806	3.817	46.00	49.22	97.82	99.22	24.48	28.87
K-Q-J-6-5	3.970	=	=	3.810	=	45.84	49.28	97.86	99.68	24.35	28.87
K-Q-J-6-4	3.962	=	=	3.807	3.810	45.88	49.28	98.26	99.68	24.35	28.87
K-Q-J-6-3	3.960	=	=	3.806	3.810	45.88	49.28	98.44	99.68	24.35	28.87
K-Q-J-6-2	3.960	=	=	3.806	3.810	45.88	49.28	98.44	99.68	24.35	28.87
K-Q-J-5-4	3.954	=	=	3.807	=	45.77	49.28	98.68	99.92	24.35	28.87
K-Q-J-5-3	3.952	=	=	3.806	3.807	45.77	49.28	98.93	99.92	24.35	28.87
K-Q-J-5-2	3.952	=	=	3.806	3.807	45.77	49.28	98.93	99.92	24.35	28.87
K-Q-J-4-3	3.948	=	=	3.806	=	45.81	49.28	99.27	100	24.35	28.87
K-Q-J-4-2	3.948	=	=	3.806	3.806	45.81	49.28	99.27	100	24.35	28.87
K-Q-J-3-2	3.946	=	=	3.806	=	45.81	49.28	99.51	100	24.35	28.87

K-Q-10	Highest	Second	Third	Fourth	Fifth	Fluidity		Unassisted		Run Five
K-Q-10-9-8	4.014	=	3.851	=	=	49.57	50.99	89.94	97.13	25.06	27.77
K-Q-10-9-7	3.980	=	3.819	=	3.757	49.68	51.11	89.13	96.24	24.98	27.69
K-Q-10-9-6	3.961	=	3.801	=	3.757	49.15	50.96	89.42	96.50	24.86	27.58
K-Q-10-9-5	3.954	=	3.794	=	3.757	48.89	50.98	89.72	96.75	24.86	27.58
K-Q-10-9-4	3.951	=	3.791	=	3.757	48.91	50.98	89.88	96.90	24.86	27.58
K-Q-10-9-3	3.950	=	3.791	=	3.757	48.91	50.98	89.94	96.96	24.86	27.58
K-Q-10-9-2	3.950	=	3.791	=	3.757	48.91	50.98	89.94	96.96	24.86	27.58
K-Q-10-8-7	3.901	=	3.719	3.741	=	47.82	48.55	88.45	94.19	23.60	27.69
K-Q-10-8-6	3.867	=	3.690	3.721	3.733	47.65	48.55	87.97	93.90	23.57	27.69
K-Q-10-8-5	3.852	=	3.677	3.711	3.733	47.45	48.55	87.97	93.90	23.57	27.69
K-Q-10-8-4	3.847	=	3.672	3.708	3.733	47.45	48.55	88.00	93.90	23.57	27.69
K-Q-10-8-3	3.846	=	3.671	3.707	3.733	47.45	48.55	88.01	93.90	23.57	27.69
K-Q-10-8-2	3.846	=	3.671	3.707	3.733	47.45	48.55	88.01	93.90	23.57	27.69
K-Q-10-7-6	3.825	=	3.626	3.717	=	46.85	49.05	87.67	93.83	23.05	27.58
K-Q-10-7-5	3.800	=	3.604	3.708	3.717	46.61	49.05	87.63	93.83	23.05	27.58
K-Q-10-7-4	3.791	=	3.595	3.705	3.717	46.58	49.05	87.66	93.83	23.05	27.58
K-Q-10-7-3	3.789	=	3.593	3.704	3.717	46.58	49.05	87.67	93.83	23.05	27.58
K-Q-10-7-2	3.789	=	3.592	3.704	3.717	46.58	49.05	87.67	93.83	23.05	27.58
K-Q-10-6-5	3.777	=	3.572	3.708	=	46.30	49.07	87.31	93.99	22.92	27.58
K-Q-10-6-4	3.764	=	3.559	3.705	3.708	46.30	49.07	87.38	93.99	22.92	27.58
K-Q-10-6-3	3.761	=	3.554	3.704	3.708	46.30	49.07	87.41	93.99	22.92	27.58
K-Q-10-6-2	3.761	=	3.553	3.704	3.708	46.30	49.07	87.41	93.99	22.92	27.58
K-Q-10-5-4	3.752	=	3.542	3.705	=	46.12	49.07	87.24	94.12	22.92	27.58
K-Q-10-5-3	3.748	=	3.536	3.704	3.705	46.12	49.07	87.29	94.12	22.92	27.58
K-Q-10-5-2	3.748	=	3.534	3.704	3.705	46.12	49.07	87.29	94.12	22.92	27.58
K-Q-10-4-3	3.743	=	3.530	3.704	=	46.16	49.07	87.32	94.17	22.92	27.58
K-Q-10-4-2	3.743	=	3.527	3.704	3.704	46.16	49.07	87.32	94.17	22.92	27.58
K-Q-10-3-2	3.740	=	3.527	3.704	=	46.16	49.07	87.46	94.17	22.92	27.58

K-Q-9	Highest	Second	Third	Fourth	Fifth	Fluidity		Unassisted		Run Five
K-Q-9-8-7	3.747	=	3.675	=	=	43.66	47.55	91.95	93.55	21.11	25.03
K-Q-9-8-6	3.713	=	3.647	=	3.647	43.62	47.90	91.46	94.42	21.08	25.03
K-Q-9-8-5	3.698	=	3.634	=	3.647	43.29	47.90	91.51	94.42	21.08	25.03
K-Q-9-8-4	3.692	=	3.629	=	3.647	43.29	47.90	91.58	94.42	21.08	25.03
K-Q-9-8-3	3.691	=	3.628	=	3.647	43.29	47.90	91.61	94.42	21.08	25.03
K-Q-9-8-2	3.691	=	3.628	=	3.647	43.29	47.90	91.61	94.42	21.08	25.03
K-Q-9-7-6	3.664	=	3.587	3.622	=	42.95	48.37	92.05	93.94	20.56	24.99
K-Q-9-7-5	3.633	=	3.566	3.609	3.621	42.84	48.37	92.00	94.04	20.56	24.99
K-Q-9-7-4	3.621	=	3.557	3.604	3.621	48.37	42.84	94.04	92.08	24.99	20.56
K-Q-9-7-3	3.617	=	3.555	3.603	3.621	48.37	42.84	94.04	92.14	24.99	20.56
K-Q-9-7-2	3.617	=	3.554	3.603	3.621	48.37	42.84	94.04	92.19	24.99	20.56
K-Q-9-6-5	3.605	=	3.537	3.609	=	48.33	42.68	94.18	92.29	24.99	20.43
K-Q-9-6-4	3.585	=	3.524	3.604	3.609	48.33	48.33	94.18	94.38	24.99	24.99
K-Q-9-6-3	3.579	=	3.520	3.603	3.609	48.33	48.33	94.18	94.47	24.99	24.99
K-Q-9-6-2	3.578	=	3.519	3.603	3.609	48.33	48.33	94.18	94.50	24.99	24.99
K-Q-9-5-4	3.569	=	3.510	3.604	=	48.33	42.55	94.38	92.69	24.99	20.43
K-Q-9-5-3	3.561	=	3.504	3.603	3.604	48.33	48.33	94.38	94.47	24.99	24.99
K-Q-9-5-2	3.559	=	3.502	3.603	3.604	48.33	48.33	94.38	94.50	24.99	24.99
K-Q-9-4-3	3.554	=	3.497	3.603	=	48.33	42.57	94.47	93.14	24.99	20.43
K-Q-9-4-2	3.552	=	3.495	3.603	3.603	48.33	48.33	94.47	94.50	24.99	24.99
K-Q-9-3-2	3.549	=	3.492	3.603	=	48.33	42.57	94.50	93.58	24.99	20.43

K-Q-x	Highest	Second	Third	Fourth	Fifth	Fluidity		Unassisted		Run Five
K-Q-8-7-6	3.583	=	3.577	=	=	41.89	47.53	94.24	94.42	19.61	24.24
K-Q-8-7-5	3.552	=	3.557	=	3.574	47.53	47.43	94.51	94.90	24.24	24.24
K-Q-8-7-4	3.539	=	3.549	=	3.574	47.53	47.45	94.51	95.26	24.24	24.24
K-Q-8-7-3	3.536	=	3.547	=	3.574	47.53	47.45	94.51	95.40	24.24	24.24
K-Q-8-7-2	3.535	=	3.547	=	3.574	47.53	47.45	94.51	95.45	24.24	24.24
K-Q-8-6-5	3.522	=	3.530	3.555	=	47.43	47.15	94.76	95.47	24.24	23.52
K-Q-8-6-4	3.498	=	3.518	3.547	3.555	47.43	47.45	94.76	95.03	24.24	24.24
K-Q-8-6-3	3.490	=	3.514	3.545	3.555	47.43	47.45	94.76	95.16	24.24	24.24
K-Q-8-6-2	3.488	=	3.513	3.545	3.555	47.43	47.45	94.76	95.19	24.24	24.24
K-Q-8-5-4	3.482	=	3.502	3.547	=	47.45	47.22	95.03	96.90	24.24	22.96
K-Q-8-5-3	3.470	=	3.496	3.545	3.547	47.45	47.45	95.03	95.16	24.24	24.24
K-Q-8-5-2	3.467	=	3.494	3.545	3.547	47.45	47.45	95.03	95.19	24.24	24.24
K-Q-8-4-3	3.463	=	3.489	3.545	=	47.45	47.65	95.16	97.95	24.24	22.96
K-Q-8-4-2	3.459	=	3.486	3.545	3.545	47.45	47.45	95.16	95.19	24.24	24.24
K-Q-8-3-2	3.457	=	3.482	3.545	=	47.45	47.85	95.19	98.58	24.24	22.96
K-Q-7-6-5	3.489	=	3.529	=	=	47.15	40.43	95.52	95.47	23.52	18.95
K-Q-7-6-4	3.465	=	3.517	=	3.526	47.15	47.33	95.77	96.02	23.52	23.52
K-Q-7-6-3	3.457	=	3.513	=	3.526	47.15	47.33	95.77	96.28	23.52	23.52
K-Q-7-6-2	3.456	=	3.512	=	3.526	47.15	47.33	95.77	96.37	23.52	23.52
K-Q-7-5-4	3.445	=	3.501	3.514	=	47.33	47.22	96.28	97.02	23.52	22.96
K-Q-7-5-3	3.431	=	3.495	3.511	3.514	47.33	47.33	96.28	96.53	23.52	23.52
K-Q-7-5-2	3.428	=	3.493	3.510	3.514	47.33	47.33	96.28	96.63	23.52	23.52
K-Q-7-4-3	3.423	=	3.488	3.511	=	47.33	47.65	96.53	98.01	23.52	22.96
K-Q-7-4-2	3.418	=	3.485	3.510	3.511	47.33	47.33	96.53	96.63	23.52	23.52
K-Q-7-3-2	3.416	=	3.482	3.510	=	47.33	47.85	96.63	98.58	23.52	22.96
K-Q-6-5-4	3.432	=	3.501	=	=	47.22	39.93	97.02	96.46	22.96	18.95
K-Q-6-5-3	3.418	=	3.495	=	3.501	47.22	47.22	97.02	97.44	22.96	22.96
K-Q-6-5-2	3.415	=	3.493	=	3.501	47.22	47.22	97.02	97.62	22.96	22.96
K-Q-6-4-3	3.407	=	3.488	3.495	=	47.22	47.65	97.44	98.01	22.96	22.96
K-Q-6-4-2	3.402	=	3.485	3.493	3.495	47.22	47.22	97.44	97.62	22.96	22.96
K-Q-6-3-2	3.399	=	3.482	3.493	=	47.22	47.85	97.62	98.58	22.96	22.96
K-Q-5-4-3	3.402	=	3.488	=	=	47.65	40.07	98.01	97.49	22.96	18.95
K-Q-5-4-2	3.396	=	3.485	=	3.488	47.65	47.65	98.01	98.27	22.96	22.96
K-Q-5-3-2	3.393	=	3.482	3.485	=	47.65	47.85	98.27	98.58	22.96	22.96
K-Q-4-3-2	3.391	=	3.482	=	=	47.85	40.07	98.58	98.64	22.96	18.95