Stats 8H05 Main

Random Deals

by Richard Pavlicek

General stats for 10,000,000,000 deals

Each table lists all possible values of each statistic in decimal (or binary if a bitmap) with the number of occurrences and percent for North, South, West and East. The last column shows the theoretical expectation, which is mathematically determined and exact. The bottom line shows the number of unique values (table rows), the total number of occurrences, and the average (mean) value.

F

Gs

C

Hp

Rp

Pt

Dt

Lt

Ls

Ss

Rs

S

H

D

C

St

Ht

Dt

Ct

Sc

Hc

Dc

Cc

Sq

Hq

Dq

Cq

Sx

Hx

Dx

Cx

Percents and averages are rounded to four places (unless zero which is shown as a single digit). The most frequent occurrence (mode) is tinted gold, the second-most a paler gold, and the third-most even paler.

Freakness

0-20 scale: 4333 = 0 4432 = 1 5332 = 2 4441 5422 = 3 5431 6322 = 4
6331 = 5 5440 5521 6421 7222 = 6 5530 6430 7321 = 7 6511 7330 7411 = 8
6520 7420 8221 8311 = 9 8320 = 10 6610 7510 8410 9211 = 11 9220 9310 = 12
7600 8500 9400 A110 = 13 A210 A300 = 14 B110 B200 = 16 C100 = 18 D000 = 20

Freakness	North		South		West		East		Theoretical
0	1053594762	10.5359	1053583507	10.5358	1053624805	10.5362	1053568923	10.5357	66905856160	10.5361
1	2155161340	21.5516	2155104354	21.5510	2155089423	21.5509	2155157123	21.5516	136852887600	21.5512
2	1551684167	15.5168	1551677953	15.5168	1551713905	15.5171	1551723670	15.5172	98534079072	15.5168
3	1357272341	13.5727	1357269939	13.5727	1357309054	13.5731	1357305565	13.5731	86189672140	13.5729
4	1857304596	18.5730	1857353392	18.5735	1857322552	18.5732	1857286742	18.5729	117942306768	18.5732
5	344802827	3.4480	344841920	3.4484	344818430	3.4482	344815994	3.4482	21896462016	3.4482
6	963242588	9.6324	963223532	9.6322	963197524	9.6320	963169928	9.6317	61166193660	9.6323
7	410223821	4.1022	410240520	4.1024	410212658	4.1021	410252272	4.1025	26049899304	4.1023
8	136255919	1.3626	136235910	1.3624	136235742	1.3624	136228195	1.3623	8651399328	1.3624
9	132258496	1.3226	132268954	1.3227	132274919	1.3227	132291043	1.3229	8399095848	1.3227
10	10846670	0.1085	10852830	0.1085	10854995	0.1085	10853206	0.1085	689049504	0.1085
11	24393650	0.2439	24388854	0.2439	24383549	0.2438	24382881	0.2438	1548621360	0.2439
12	1827298	0.0183	1824292	0.0182	1828705	0.0183	1828710	0.0183	116001600	0.0183
13	1003092	0.0100	1005458	0.0101	1004679	0.0100	1007274	0.0101	63860368	0.0101
14	124790	0.0012	124835	0.0012	125380	0.0013	124795	0.0012	7941648	0.0013
16	3611	0.0000	3722	0.0000	3662	0.0000	3656	0.0000	231192	0.0000
18	32	0.0000	28	0.0000	18	0.0000	23	0.0000	2028	0.0000
20	0	0	0	0	0	0	0	0	4	0.0000
18	10000000000	2.9829	10000000000	2.9829	10000000000	2.9828	10000000000	2.9829	635013559600	2.9829

Stats 8H05 Main

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Generic shape

39 generic hand patterns in order of theoretical frequency

Shape	North		South		West		East		Theoretical
4432	2155161340	21.5516	2155104354	21.5510	2155089423	21.5509	2155157123	21.5516	136852887600	21.5512
5332	1551684167	15.5168	1551677953	15.5168	1551713905	15.5171	1551723670	15.5172	98534079072	15.5168
5431	1293064966	12.9306	1293103058	12.9310	1293062328	12.9306	1293057042	12.9306	82111732560	12.9307
5422	1057958941	10.5796	1057952101	10.5795	1057977310	10.5798	1057993427	10.5799	67182326640	10.5797
4333	1053594762	10.5359	1053583507	10.5358	1053624805	10.5362	1053568923	10.5357	66905856160	10.5361
6322	564239630	5.6424	564250334	5.6425	564260224	5.6426	564229700	5.6423	35830574208	5.6425
6421	470229052	4.7023	470203050	4.7020	470200793	4.7020	470174637	4.7017	29858811840	4.7021
6331	344802827	3.4480	344841920	3.4484	344818430	3.4482	344815994	3.4482	21896462016	3.4482
5521	317410915	3.1741	317398556	3.1740	317376224	3.1738	317379082	3.1738	20154697992	3.1739
4441	299313400	2.9931	299317838	2.9932	299331744	2.9933	299312138	2.9931	19007345500	2.9932
7321	188087131	1.8809	188091377	1.8809	188083705	1.8808	188090929	1.8809	11943524736	1.8808
6430	132619268	1.3262	132626414	1.3263	132609098	1.3261	132635867	1.3264	8421716160	1.3262
5440	124315177	1.2432	124324505	1.2432	124336292	1.2434	124322302	1.2432	7895358900	1.2433
5530	89517422	0.8952	89522729	0.8952	89519855	0.8952	89525476	0.8953	5684658408	0.8952
6511	70545329	0.7055	70535495	0.7054	70526608	0.7053	70526616	0.7053	4478821776	0.7053
6520	65093792	0.6509	65105426	0.6511	65106119	0.6511	65125360	0.6513	4134297024	0.6511
7222	51287444	0.5129	51297421	0.5130	51284215	0.5128	51293907	0.5129	3257324928	0.5130
7411	39191492	0.3919	39173287	0.3917	39180333	0.3918	39175725	0.3918	2488234320	0.3918
7420	36170681	0.3617	36171751	0.3617	36181259	0.3618	36172798	0.3617	2296831680	0.3617
7330	26519098	0.2652	26527128	0.2653	26528801	0.2653	26525854	0.2653	1684343232	0.2652
8221	19236558	0.1924	19234423	0.1923	19233626	0.1923	19237124	0.1924	1221496848	0.1924
8311	11757465	0.1176	11757354	0.1176	11753915	0.1175	11755761	0.1176	746470296	0.1176
7510	10852956	0.1085	10849507	0.1085	10848601	0.1085	10846505	0.1085	689049504	0.1085
8320	10846670	0.1085	10852830	0.1085	10854995	0.1085	10853206	0.1085	689049504	0.1085
6610	7238452	0.0724	7237304	0.0724	7232356	0.0723	7235152	0.0724	459366336	0.0723
8410	4521348	0.0452	4521827	0.0452	4522702	0.0452	4519103	0.0452	287103960	0.0452
9211	1780894	0.0178	1780216	0.0178	1779890	0.0178	1782121	0.0178	113101560	0.0178
9310	1005105	0.0101	1003616	0.0100	1005374	0.0101	1006284	0.0101	63800880	0.0100
9220	822193	0.0082	820676	0.0082	823331	0.0082	822426	0.0082	52200720	0.0082
7600	555545	0.0056	556540	0.0056	555687	0.0056	557886	0.0056	35335872	0.0056
8500	311733	0.0031	312666	0.0031	312947	0.0031	313052	0.0031	19876428	0.0031
A210	109384	0.0011	109453	0.0011	109923	0.0011	109435	0.0011	6960096	0.0011
9400	96485	0.0010	96938	0.0010	96545	0.0010	96728	0.0010	6134700	0.0010
A111	39329	0.0004	39314	0.0004	39500	0.0004	39608	0.0004	2513368	0.0004
A300	15406	0.0002	15382	0.0002	15457	0.0002	15360	0.0002	981552	0.0002
B110	2497	0.0000	2529	0.0000	2575	0.0000	2510	0.0000	158184	0.0000
B200	1114	0.0000	1193	0.0000	1087	0.0000	1146	0.0000	73008	0.0000
C100	32	0.0000	28	0.0000	18	0.0000	23	0.0000	2028	0.0000
D000	0	0	0	0	0	0	0	0	4	0.0000
39	10000000000	3.6953	10000000000	3.6954	10000000000	3.6954	10000000000	3.6954	635013559600	3.6954

Mean is calculated with shapes valued from 0 to 38, so 3.xxxx falls between “5422” and “4333”

Stats 8H05 Main

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Controls

Ace = 2 King = 1

Controls	North		South		West		East		Theoretical
0	817528139	8.1753	817596243	8.1760	817562967	8.1756	817541810	8.1754	51915526432	8.1755
1	1328508460	13.2851	1328491203	13.2849	1328535328	13.2854	1328558583	13.2856	84362730452	13.2852
2	2053140929	20.5314	2053165694	20.5317	2053199789	20.5320	2053146667	20.5315	130378765244	20.5317
3	2088653361	20.8865	2088700477	20.8870	2088637514	20.8864	2088620622	20.8862	132634453224	20.8869
4	1673604883	16.7360	1673616145	16.7362	1673526763	16.7353	1673591563	16.7359	106275127972	16.7359
5	1116440376	11.1644	1116398891	11.1640	1116465564	11.1647	1116421356	11.1642	70893050800	11.1640
6	569386143	5.6939	569348800	5.6935	569382483	5.6938	569371521	5.6937	36155455908	5.6937
7	245613952	2.4561	245581766	2.4558	245573528	2.4557	245633595	2.4563	15596471176	2.4561
8	81780008	0.8178	81761000	0.8176	81770809	0.8177	81773340	0.8177	5192436964	0.8177
9	20821503	0.2082	20814041	0.2081	20819074	0.2082	20814282	0.2081	1322059596	0.2082
10	4061436	0.0406	4063662	0.0406	4064896	0.0406	4066347	0.0407	258159616	0.0407
11	443606	0.0044	445039	0.0045	444090	0.0044	443449	0.0044	28236208	0.0044
12	17204	0.0002	17039	0.0002	17195	0.0002	16865	0.0002	1086008	0.0002
13	10000000000	3.0000	10000000000	3.0000	10000000000	3.0000	10000000000	3.0000	635013559600	3.0000

Stats 8H05 Main

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High-card points

Ace = 4 King = 3 Queen = 2 Jack = 1

HCP	North		South		West		East		Theoretical
0	36383132	0.3638	36388511	0.3639	36397921	0.3640	36392899	0.3639	2310789600	0.3639
1	78852725	0.7885	78844220	0.7884	78837233	0.7884	78853842	0.7885	5006710800	0.7884
2	135596324	1.3560	135624400	1.3562	135620900	1.3562	135601642	1.3560	8611542576	1.3561
3	246228173	2.4623	246224093	2.4622	246226854	2.4623	246240814	2.4624	15636342960	2.4624
4	384508944	3.8451	384556225	3.8456	384569633	3.8457	384549032	3.8455	24419055136	3.8454
5	518609732	5.1861	518654498	5.1865	518637419	5.1864	518646010	5.1865	32933031040	5.1862
6	655385845	6.5539	655385364	6.5539	655388113	6.5539	655393117	6.5539	41619399184	6.5541
7	802787212	8.0279	802814777	8.0281	802827177	8.0283	802793174	8.0279	50979441968	8.0281
8	889260167	8.8926	889248648	8.8925	889178744	8.8918	889230621	8.8923	56466608128	8.8922
9	935671233	9.3567	935641710	9.3564	935659368	9.3566	935607450	9.3561	59413313872	9.3562
10	940501459	9.4050	940490492	9.4049	940496648	9.4050	940507631	9.4051	59723754816	9.4051
11	894437482	8.9444	894449805	8.9445	894486767	8.9449	894459708	8.9446	56799933520	8.9447
12	802694037	8.0269	802656800	8.0266	802647418	8.0265	802666183	8.0267	50971682080	8.0269
13	691438156	6.9144	691466641	6.9147	691422571	6.9142	691419591	6.9142	43906944752	6.9143
14	569332437	5.6933	569319338	5.6932	569342173	5.6934	569353207	5.6935	36153374224	5.6933
15	442378860	4.4238	442401732	4.4240	442372429	4.4237	442369255	4.4237	28090962724	4.4237
16	331077853	3.3108	331088889	3.3109	331094231	3.3109	331101940	3.3110	21024781756	3.3109
17	236179439	2.3618	236131797	2.3613	236192666	2.3619	236150223	2.3615	14997082848	2.3617
18	160532074	1.6053	160499289	1.6050	160493284	1.6049	160521335	1.6052	10192504020	1.6051
19	103636219	1.0364	103610875	1.0361	103610725	1.0361	103630374	1.0363	6579838440	1.0362
20	64353731	0.6435	64349363	0.6435	64339949	0.6434	64352629	0.6435	4086538404	0.6435
21	37792053	0.3779	37785131	0.3779	37789176	0.3779	37780296	0.3778	2399507844	0.3779
22	21002759	0.2100	21004610	0.2100	21003499	0.2100	21013074	0.2101	1333800036	0.2100
23	11191324	0.1119	11190809	0.1119	11189218	0.1119	11191803	0.1119	710603628	0.1119
24	5585039	0.0559	5589147	0.0559	5590185	0.0559	5593762	0.0559	354993864	0.0559
25	2642073	0.0264	2643302	0.0264	2644721	0.0264	2642192	0.0264	167819892	0.0264
26	1167627	0.0117	1167281	0.0117	1167106	0.0117	1165148	0.0117	74095248	0.0117
27	490851	0.0049	490768	0.0049	491352	0.0049	491532	0.0049	31157940	0.0049
28	185675	0.0019	184614	0.0018	185290	0.0019	184719	0.0018	11790760	0.0019
29	67041	0.0007	66577	0.0007	66541	0.0007	66526	0.0007	4236588	0.0007
30	22003	0.0002	22083	0.0002	22352	0.0002	21988	0.0002	1396068	0.0002
31	6112	0.0001	6157	0.0001	6228	0.0001	6141	0.0001	388196	0.0001
32	1767	0.0000	1655	0.0000	1708	0.0000	1720	0.0000	109156	0.0000
33	361	0.0000	321	0.0000	315	0.0000	336	0.0000	22360	0.0000
34	64	0.0000	72	0.0000	76	0.0000	79	0.0000	4484	0.0000
35	16	0.0000	4	0.0000	10	0.0000	7	0.0000	624	0.0000
36	1	0.0000	1	0.0000	0	0	0	0	60	0.0000
37	0	0	1	0.0000	0	0	0	0	4	0.0000
38	10000000000	10.0001	10000000000	9.9999	10000000000	10.0000	10000000000	10.0000	635013559600	10.0000

Stats 8H05 Main

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Revalued points

Per RP method (reference)

HCP each void +3 each singleton (except K Q J) +2 singleton J +1
each doubleton (except KQ KJ QJ Qx Jx) +1 four aces and/or tens +1

Points	North		South		West		East		Theoretical
0	4626703	0.0463	4623147	0.0462	4628893	0.0463	4628411	0.0463	293805568	0.0463
1	27818055	0.2782	27822799	0.2782	27820883	0.2782	27821447	0.2782	1766279872	0.2781
2	70249686	0.7025	70238710	0.7024	70237055	0.7024	70236997	0.7024	4460756944	0.7025
3	129827365	1.2983	129821970	1.2982	129830852	1.2983	129833271	1.2983	8243807120	1.2982
4	219397575	2.1940	219430940	2.1943	219400621	2.1940	219424203	2.1942	13933491492	2.1942
5	342729984	3.4273	342747874	3.4275	342746943	3.4275	342714201	3.4271	21764214176	3.4274
6	479062038	4.7906	479064266	4.7906	479103974	4.7910	479128785	4.7913	30423163944	4.7909
7	613269016	6.1327	613304912	6.1330	613308468	6.1331	613272459	6.1327	38944701748	6.1329
8	741935850	7.4194	741947298	7.4195	741964059	7.4196	741943279	7.4194	47115157372	7.4196
9	844592436	8.4459	844596554	8.4460	844578507	8.4458	844554836	8.4455	53631235236	8.4457
10	902267231	9.0227	902276870	9.0228	902242554	9.0224	902242470	9.0224	57295091856	9.0227
11	915653579	9.1565	915674086	9.1567	915646247	9.1565	915672371	9.1567	58143902808	9.1563
12	885712246	8.8571	885701623	8.8570	885709661	8.8571	885713722	8.8571	56245617636	8.8574
13	815789416	8.1579	815801583	8.1580	815822782	8.1582	815798960	8.1580	51805296432	8.1581
14	716985626	7.1699	716963714	7.1696	716935415	7.1694	716990303	7.1699	45528936116	7.1698
15	603125825	6.0313	603145068	6.0315	603117559	6.0312	603109784	6.0311	38297308552	6.0309
16	485773628	4.8577	485769257	4.8577	485811829	4.8581	485784031	4.8578	30847863460	4.8578
17	375105867	3.7511	375102943	3.7510	375088619	3.7509	375065941	3.7507	23818563824	3.7509
18	277777168	2.7778	277737623	2.7774	277763373	2.7776	277761724	2.7776	17638216924	2.7776
19	197060324	1.9706	197027672	1.9703	197056633	1.9706	197071255	1.9707	12512959412	1.9705
20	134588607	1.3459	134583349	1.3458	134568692	1.3457	134572281	1.3457	8546506844	1.3459
21	88189790	0.8819	88169261	0.8817	88165930	0.8817	88178238	0.8818	5599172640	0.8817
22	55262892	0.5526	55245837	0.5525	55248961	0.5525	55274124	0.5527	3509161412	0.5526
23	33265048	0.3327	33262759	0.3326	33265622	0.3327	33268382	0.3327	2112451680	0.3327
24	19146944	0.1915	19150142	0.1915	19139056	0.1914	19146661	0.1915	1215549644	0.1914
25	10476548	0.1048	10477628	0.1048	10480423	0.1048	10479288	0.1048	665258884	0.1048
26	5451163	0.0545	5451980	0.0545	5450782	0.0545	5450487	0.0545	346309380	0.0545
27	2698277	0.0270	2701195	0.0270	2703647	0.0270	2701474	0.0270	171594884	0.0270
28	1256505	0.0126	1255079	0.0126	1255901	0.0126	1255757	0.0126	79694360	0.0126
29	551048	0.0055	550743	0.0055	552631	0.0055	551928	0.0055	35006360	0.0055
30	226218	0.0023	225873	0.0023	225734	0.0023	225937	0.0023	14392632	0.0023
31	85395	0.0009	85233	0.0009	85399	0.0009	85227	0.0009	5429168	0.0009
32	29799	0.0003	30078	0.0003	30049	0.0003	29720	0.0003	1895604	0.0003
33	8965	0.0001	9056	0.0001	9277	0.0001	9050	0.0001	574548	0.0001
34	2554	0.0000	2309	0.0000	2414	0.0000	2440	0.0000	153448	0.0000
35	537	0.0000	492	0.0000	469	0.0000	469	0.0000	31924	0.0000
36	80	0.0000	73	0.0000	80	0.0000	83	0.0000	5172	0.0000
37	12	0.0000	3	0.0000	6	0.0000	4	0.0000	508	0.0000
38	0	0	1	0.0000	0	0	0	0	16	0.0000
39	10000000000	11.3682	10000000000	11.3681	10000000000	11.3681	10000000000	11.3682	635013559600	11.3682

Stats 8H05 Main

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Playing tricks

Evaluated in half-tricks (refinements)

K Qx Kx JTx Qxx = 1 A KJ KQ Ax QJx Kxx Axx = 2
AJ AQ KJT KQx AJx AQx = 3 AK KQJ AQT AKx = 4
AQJ AKJ = 5 AKQ = 6 Each suit card over three = 2

Half-tricks	North		South		West		East		Theoretical
2	16110520	0.1611	16105321	0.1611	16111557	0.1611	16111965	0.1611	1022787584	0.1611
3	28900179	0.2890	28893676	0.2889	28894268	0.2889	28892572	0.2889	1834835968	0.2889
4	130524457	1.3052	130525754	1.3053	130513994	1.3051	130517087	1.3052	8288385280	1.3052
5	213988423	2.1399	213960653	2.1396	213999636	2.1400	213985126	2.1399	13587961408	2.1398
6	470943846	4.7094	470957177	4.7096	470957949	4.7096	470951790	4.7095	29907404912	4.7097
7	652762832	6.5276	652809379	6.5281	652802851	6.5280	652802047	6.5280	41453445520	6.5280
8	968661663	9.6866	968681726	9.6868	968759478	9.6876	968670141	9.6867	61513033480	9.6869
9	1117898746	11.1790	1117901705	11.1790	1117830847	11.1783	1117876633	11.1788	70986532496	11.1787
10	1262452255	12.6245	1262464941	12.6246	1262513952	12.6251	1262494820	12.6249	80169517920	12.6249
11	1216312245	12.1631	1216367336	12.1637	1216304525	12.1630	1216319321	12.1632	77238005980	12.1632
12	1113742030	11.1374	1113698672	11.1370	1113701790	11.1370	1113764511	11.1376	70723648784	11.1373
13	905071500	9.0507	905140585	9.0514	905114795	9.0511	905075318	9.0508	57473116632	9.0507
14	700088350	7.0009	700058152	7.0006	700045413	7.0005	700044249	7.0004	44455847496	7.0008
15	485241048	4.8524	485215044	4.8522	485213943	4.8521	485211040	4.8521	30812461108	4.8523
16	322665429	3.2267	322620426	3.2262	322623148	3.2262	322679870	3.2268	20488020544	3.2264
17	190249726	1.9025	190235674	1.9024	190225586	1.9023	190225862	1.9023	12080979332	1.9025
18	108112623	1.0811	108113361	1.0811	108117398	1.0812	108109859	1.0811	6865130592	1.0811
19	53763205	0.5376	53732824	0.5373	53762765	0.5376	53744290	0.5374	3412850548	0.5374
20	25752748	0.2575	25755577	0.2576	25744908	0.2574	25760704	0.2576	1635279380	0.2575
21	10603007	0.1060	10604563	0.1060	10604077	0.1060	10607352	0.1061	673249156	0.1060
22	4237061	0.0424	4238084	0.0424	4238406	0.0424	4237965	0.0424	269155616	0.0424
23	1367186	0.0137	1368437	0.0137	1366787	0.0137	1367105	0.0137	86893416	0.0137
24	439441	0.0044	439374	0.0044	440064	0.0044	439356	0.0044	27926304	0.0044
25	88928	0.0009	89078	0.0009	89228	0.0009	88607	0.0009	5652256	0.0009
26	22552	0.0002	22481	0.0002	22635	0.0002	22410	0.0002	1437888	0.0002
25	10000000000	10.7371	10000000000	10.7370	10000000000	10.7370	10000000000	10.7371	635013559600	10.7371

Stats 8H05 Main

Top Random Deals

Defensive tricks

Evaluated in half-tricks (refinements)

AK = 4 AQ = 3 A = 2 KQ = 2 K = 1

Half-tricks	North		South		West		East		Theoretical
0	856487629	8.5649	856556113	8.5656	856540220	8.5654	856506615	8.5651	54389790360	8.5651
1	970110718	9.7011	970094598	9.7009	970114469	9.7011	970124941	9.7012	61602628572	9.7010
2	1789813799	17.8981	1789844375	17.8984	1789906159	17.8991	1789891177	17.8989	113660108928	17.8988
3	1518332034	15.1833	1518365937	15.1837	1518328585	15.1833	1518283176	15.1828	96416902372	15.1834
4	1748806771	17.4881	1748798910	17.4880	1748702047	17.4870	1748775511	17.4878	111050090784	17.4878
5	1148581164	11.4858	1148616607	11.4862	1148583126	11.4858	1148583572	11.4858	72935403696	11.4856
6	943106982	9.4311	943046350	9.4305	943118455	9.4312	943101750	9.4310	59887556392	9.4309
7	489977829	4.8998	489956428	4.8996	489961046	4.8996	489952231	4.8995	31112636760	4.8995
8	316003022	3.1600	315999941	3.1600	316011257	3.1601	316012799	3.1601	20067427740	3.1602
9	125694359	1.2569	125645857	1.2565	125653734	1.2565	125682709	1.2568	7980162216	1.2567
10	63880648	0.6388	63868148	0.6387	63866728	0.6387	63877578	0.6388	4055992444	0.6387
11	19115165	0.1912	19118613	0.1912	19122879	0.1912	19116326	0.1912	1214000280	0.1912
12	7919918	0.0792	7916603	0.0792	7919612	0.0792	7918569	0.0792	502896536	0.0792
13	1570751	0.0157	1572297	0.0157	1572698	0.0157	1575266	0.0158	99889520	0.0157
14	521650	0.0052	521526	0.0052	521133	0.0052	520225	0.0052	33145000	0.0052
15	60392	0.0006	60682	0.0006	60682	0.0006	60726	0.0006	3843840	0.0006
16	17169	0.0002	17015	0.0002	17170	0.0002	16829	0.0002	1084160	0.0002
17	10000000000	3.5564	10000000000	3.5563	10000000000	3.5563	10000000000	3.5563	635013559600	3.5563

Stats 8H05 Main

Top Random Deals

Losing tricks

Evaluated for each suit (refinements)

AKQ AK A void = 0 AKx AQx KQx Ax Kx x = 1
Axx Kxx Qxx xx = 2 Jxx or worse = 3

Losers	North		South		West		East		Theoretical
0	25292	0.0003	25182	0.0003	25418	0.0003	25157	0.0003	1611768	0.0003
1	618007	0.0062	619477	0.0062	619619	0.0062	618654	0.0062	39329036	0.0062
2	7155534	0.0716	7152314	0.0715	7157130	0.0716	7159785	0.0716	454375244	0.0716
3	49236237	0.4924	49245699	0.4925	49227207	0.4923	49230451	0.4923	3126502788	0.4924
4	221591376	2.2159	221542577	2.2154	221565347	2.2157	221571267	2.2157	14069567832	2.2156
5	685690945	6.8569	685655162	6.8566	685667495	6.8567	685681141	6.8568	43541225304	6.8567
6	1494514769	14.9451	1494488861	14.9449	1494479996	14.9448	1494456069	14.9446	94901190408	14.9448
7	2296144003	22.9614	2296096444	22.9610	2296074103	22.9607	2296134560	22.9613	145807470468	22.9613
8	2448932756	24.4893	2449043471	24.4904	2449016725	24.4902	2449044272	24.4904	155515164912	24.4901
9	1759334963	17.5933	1759355684	17.5936	1759361724	17.5936	1759300359	17.5930	111719209440	17.5932
10	804837832	8.0484	804864979	8.0486	804895232	8.0490	804869662	8.0487	51111464400	8.0489
11	209052787	2.0905	209046155	2.0905	209047342	2.0905	209039444	2.0904	13274928000	2.0905
12	22865499	0.2287	22863995	0.2286	22862662	0.2286	22869179	0.2287	1451520000	0.2286
13	10000000000	7.5565	10000000000	7.5566	10000000000	7.5566	10000000000	7.5566	635013559600	7.5566

Stats 8H05 Main

Top Random Deals

Longest suit

Number of cards in longest suit

Length	North		South		West		East		Theoretical
4	3508069502	35.0807	3508005699	35.0801	3508045972	35.0805	3508038184	35.0804	222766089260	35.0805
5	4433951588	44.3395	4433978902	44.3398	4433985914	44.3399	4434000999	44.3400	281562853572	44.3397
6	1654768350	16.5477	1654799943	16.5480	1654753628	16.5475	1654743326	16.5474	105080049360	16.5477
7	352664347	3.5266	352667011	3.5267	352662601	3.5266	352663604	3.5266	22394644272	3.5266
8	46673774	0.4667	46679100	0.4668	46678185	0.4668	46678246	0.4668	2963997036	0.4668
9	3704677	0.0370	3701446	0.0370	3705140	0.0371	3707559	0.0371	235237860	0.0370
10	164119	0.0016	164149	0.0016	164880	0.0016	164403	0.0016	10455016	0.0016
11	3611	0.0000	3722	0.0000	3662	0.0000	3656	0.0000	231192	0.0000
12	32	0.0000	28	0.0000	18	0.0000	23	0.0000	2028	0.0000
13	0	0	0	0	0	0	0	0	4	0.0000
10	10000000000	4.9008	10000000000	4.9008	10000000000	4.9008	10000000000	4.9008	635013559600	4.9008

Stats 8H05 Main

Top Random Deals

Shortest suit

Number of cards in shortest suit

Length	North		South		West		East		Theoretical
0	510614358	5.1061	510658442	5.1066	510663022	5.1066	510686473	5.1069	32427298180	5.1066
1	3055459358	30.5546	3055475888	30.5548	3055387096	30.5539	3055346777	30.5535	194023212812	30.5542
2	5380331522	53.8033	5380282163	53.8028	5380325077	53.8033	5380397827	53.8040	341657192448	53.8031
3	1053594762	10.5359	1053583507	10.5358	1053624805	10.5362	1053568923	10.5357	66905856160	10.5361
4	10000000000	1.6977	10000000000	1.6977	10000000000	1.6977	10000000000	1.6977	635013559600	1.6977

Stats 8H05 Main

Top Random Deals

Rank sum

Ace = 14 King = 13 Queen = 12 Jack = 11 Ten = 10 … Two = 2

Sum	North		South		West		East		Theoretical
41	0	0	0	0	1	0.0000	0	0	4	0.0000
42	0	0	0	0	0	0	0	0	28	0.0000
43	2	0.0000	1	0.0000	0	0	2	0.0000	116	0.0000
44	3	0.0000	5	0.0000	10	0.0000	5	0.0000	392	0.0000
45	19	0.0000	16	0.0000	13	0.0000	17	0.0000	1132	0.0000
46	41	0.0000	38	0.0000	38	0.0000	42	0.0000	2928	0.0000
47	113	0.0000	120	0.0000	113	0.0000	103	0.0000	6916	0.0000
48	239	0.0000	256	0.0000	232	0.0000	272	0.0000	15308	0.0000
49	457	0.0000	540	0.0000	537	0.0000	526	0.0000	31884	0.0000
50	966	0.0000	984	0.0000	1005	0.0000	1032	0.0000	63344	0.0000
51	1831	0.0000	1933	0.0000	1968	0.0000	1932	0.0000	120504	0.0000
52	3458	0.0000	3459	0.0000	3573	0.0000	3462	0.0000	221128	0.0000
53	6319	0.0001	6390	0.0001	6259	0.0001	6102	0.0001	392460	0.0001
54	10759	0.0001	10483	0.0001	10756	0.0001	10680	0.0001	676704	0.0001
55	17949	0.0002	17898	0.0002	17794	0.0002	17875	0.0002	1135720	0.0002
56	29447	0.0003	29330	0.0003	29460	0.0003	29371	0.0003	1860884	0.0003
57	46967	0.0005	47035	0.0005	46952	0.0005	46570	0.0005	2980992	0.0005
58	73580	0.0007	73723	0.0007	74130	0.0007	73872	0.0007	4678132	0.0007
59	113840	0.0011	113182	0.0011	112880	0.0011	113927	0.0011	7200352	0.0011
60	170894	0.0017	171491	0.0017	171004	0.0017	171078	0.0017	10885276	0.0017
61	254556	0.0025	254576	0.0025	255281	0.0026	255556	0.0026	16177656	0.0025
62	371641	0.0037	373379	0.0037	372150	0.0037	373502	0.0037	23662872	0.0037
63	536489	0.0054	535776	0.0054	536735	0.0054	537262	0.0054	34088292	0.0054
64	762195	0.0076	764011	0.0076	762269	0.0076	762078	0.0076	48406056	0.0076
65	1068842	0.0107	1066491	0.0107	1067723	0.0107	1066786	0.0107	67796512	0.0107
66	1477492	0.0148	1479142	0.0148	1475323	0.0148	1478441	0.0148	93717520	0.0148
67	2014137	0.0201	2013806	0.0201	2012901	0.0201	2017099	0.0202	127923728	0.0201
68	2717625	0.0272	2717479	0.0272	2717200	0.0272	2720502	0.0272	172518652	0.0272
69	3625394	0.0363	3621476	0.0362	3620683	0.0362	3622831	0.0362	229959256	0.0362
70	4778267	0.0478	4773960	0.0477	4773890	0.0477	4776733	0.0478	303102568	0.0477
71	6222706	0.0622	6225001	0.0623	6223175	0.0622	6225839	0.0623	395185876	0.0622
72	8029871	0.0803	8026132	0.0803	8033823	0.0803	8029903	0.0803	509855124	0.0803
73	10257758	0.1026	10253204	0.1025	10254763	0.1025	10253264	0.1025	651106144	0.1025
74	12967910	0.1297	12962881	0.1296	12966555	0.1297	12970677	0.1297	823287808	0.1296
75	16230231	0.1623	16233958	0.1623	16241905	0.1624	16229629	0.1623	1030988200	0.1624
76	20150094	0.2015	20134450	0.2013	20138440	0.2014	20144346	0.2014	1279004300	0.2014
77	24752422	0.2475	24754572	0.2475	24760208	0.2476	24755298	0.2476	1572168200	0.2476
78	30152854	0.3015	30151049	0.3015	30161605	0.3016	30153631	0.3015	1915276928	0.3016
79	36407803	0.3641	36423881	0.3642	36420724	0.3642	36427810	0.3643	2312858508	0.3642
80	43595699	0.4360	43605676	0.4361	43614488	0.4361	43605496	0.4361	2769074104	0.4361
81	51760335	0.5176	51778847	0.5178	51767238	0.5177	51766117	0.5177	3287427876	0.5177
82	60949652	0.6095	60956810	0.6096	60953760	0.6095	60959682	0.6096	3870662368	0.6095
83	71183074	0.7118	71178096	0.7118	71202380	0.7120	71175000	0.7118	4520438996	0.7119
84	82478402	0.8248	82480405	0.8248	82464919	0.8246	82487396	0.8249	5237248656	0.8247
85	94807281	0.9481	94798572	0.9480	94811881	0.9481	94799565	0.9480	6020098480	0.9480
86	108133993	1.0813	108148188	1.0815	108130984	1.0813	108117721	1.0812	6866482488	1.0813
87	122392098	1.2239	122393406	1.2239	122398882	1.2240	122380897	1.2238	7772102604	1.2239
88	137476717	1.3748	137491536	1.3749	137491450	1.3749	137495154	1.3750	8730942544	1.3749
89	153298059	1.5330	153296085	1.5330	153293858	1.5329	153295016	1.5330	9735066676	1.5330
90	169674296	1.6967	169693336	1.6969	169682163	1.6968	169667339	1.6967	10774819856	1.6968
91	186408082	1.8641	186443134	1.8644	186423137	1.8642	186423540	1.8642	11838737216	1.8643
92	203360250	2.0336	203382040	2.0338	203391377	2.0339	203377403	2.0338	12913893708	2.0336
93	220247677	2.2025	220244943	2.2024	220258805	2.2026	220234669	2.2023	13985920668	2.2025
94	236824753	2.3682	236824881	2.3682	236809585	2.3681	236838613	2.3684	15039510420	2.3684
95	252884729	2.5288	252887040	2.5289	252882934	2.5288	252872894	2.5287	16058532536	2.5288
96	268127436	2.6813	268143413	2.6814	268117342	2.6812	268128151	2.6813	17026650064	2.6813
97	282314416	2.8231	282333656	2.8233	282305266	2.8231	282344192	2.8234	17927508472	2.8232
98	295223119	2.9522	295186939	2.9519	295231914	2.9523	295209476	2.9521	18745417740	2.9520
99	306538821	3.0654	306528929	3.0653	306531964	3.0653	306533181	3.0653	19465543056	3.0654
100	316108724	3.1611	316137961	3.1614	316115614	3.1612	316125660	3.1613	20074598356	3.1613
101	323779188	3.2378	323765620	3.2377	323804511	3.2380	323814311	3.2381	20560978696	3.2379
102	329376227	3.2938	329356578	3.2936	329340118	3.2934	329384796	3.2938	20915379072	3.2937
103	332730190	3.3273	332778504	3.3278	332766020	3.3277	332738115	3.3274	21130820080	3.3276
104	333898739	3.3390	333912172	3.3391	333919462	3.3392	333884269	3.3388	21203133328	3.3390
105	332767860	3.3277	332760912	3.3276	332757027	3.3276	332813267	3.3281	21130820080	3.3276
106	329398050	3.2940	329371485	3.2937	329372288	3.2937	329351762	3.2935	20915379072	3.2937
107	323782951	3.2378	323798260	3.2380	323796036	3.2380	323770791	3.2377	20560978696	3.2379
108	316120078	3.1612	316109348	3.1611	316133825	3.1613	316145865	3.1615	20074598356	3.1613
109	306557216	3.0656	306536789	3.0654	306547591	3.0655	306532572	3.0653	19465543056	3.0654
110	295225991	2.9523	295201201	2.9520	295192094	2.9519	295192559	2.9519	18745417740	2.9520
111	282314934	2.8231	282312915	2.8231	282324063	2.8232	282309874	2.8231	17927508472	2.8232
112	268141623	2.6814	268122430	2.6812	268143508	2.6814	268142207	2.6814	17026650064	2.6813
113	252893636	2.5289	252902532	2.5290	252849089	2.5285	252883077	2.5288	16058532536	2.5288
114	236846695	2.3685	236830771	2.3683	236837034	2.3684	236852796	2.3685	15039510420	2.3684
115	220242338	2.2024	220250895	2.2025	220241004	2.2024	220215030	2.2022	13985920668	2.2025
116	203369373	2.0337	203339736	2.0334	203362657	2.0336	203378502	2.0338	12913893708	2.0336
117	186433775	1.8643	186445432	1.8645	186429600	1.8643	186426712	1.8643	11838737216	1.8643
118	169678215	1.6968	169675315	1.6968	169676709	1.6968	169690377	1.6969	10774819856	1.6968
119	153301512	1.5330	153296186	1.5330	153302317	1.5330	153298730	1.5330	9735066676	1.5330
120	137489207	1.3749	137495604	1.3750	137468194	1.3747	137492741	1.3749	8730942544	1.3749
121	122398586	1.2240	122387214	1.2239	122391206	1.2239	122375059	1.2238	7772102604	1.2239
122	108129605	1.0813	108138723	1.0814	108137997	1.0814	108120706	1.0812	6866482488	1.0813
123	94815315	0.9482	94803476	0.9480	94795256	0.9480	94793244	0.9479	6020098480	0.9480
124	82471698	0.8247	82468499	0.8247	82473278	0.8247	82474584	0.8247	5237248656	0.8247
125	71204732	0.7120	71188840	0.7119	71178456	0.7118	71185902	0.7119	4520438996	0.7119
126	60964974	0.6096	60950790	0.6095	60948913	0.6095	60956768	0.6096	3870662368	0.6095
127	51765094	0.5177	51767178	0.5177	51784172	0.5178	51775333	0.5178	3287427876	0.5177
128	43601725	0.4360	43608183	0.4361	43611951	0.4361	43622884	0.4362	2769074104	0.4361
129	36413607	0.3641	36434548	0.3643	36426433	0.3643	36417507	0.3642	2312858508	0.3642
130	30162634	0.3016	30151492	0.3015	30160924	0.3016	30166142	0.3017	1915276928	0.3016
131	24753017	0.2475	24753361	0.2475	24756517	0.2476	24758765	0.2476	1572168200	0.2476
132	20144621	0.2014	20138342	0.2014	20141682	0.2014	20134846	0.2013	1279004300	0.2014
133	16235392	0.1624	16237510	0.1624	16240278	0.1624	16237072	0.1624	1030988200	0.1624
134	12968592	0.1297	12969481	0.1297	12962618	0.1296	12962637	0.1296	823287808	0.1296
135	10254340	0.1025	10248552	0.1025	10252051	0.1025	10256633	0.1026	651106144	0.1025
136	8031705	0.0803	8022556	0.0802	8028393	0.0803	8033927	0.0803	509855124	0.0803
137	6218763	0.0622	6222125	0.0622	6224079	0.0622	6224763	0.0622	395185876	0.0622
138	4773147	0.0477	4771930	0.0477	4773557	0.0477	4770526	0.0477	303102568	0.0477
139	3625188	0.0363	3621428	0.0362	3620384	0.0362	3622497	0.0362	229959256	0.0362
140	2718518	0.0272	2718501	0.0272	2717340	0.0272	2714690	0.0271	172518652	0.0272
141	2012883	0.0201	2013409	0.0201	2011558	0.0201	2015426	0.0202	127923728	0.0201
142	1474681	0.0147	1475509	0.0148	1475732	0.0148	1477633	0.0148	93717520	0.0148
143	1068688	0.0107	1067318	0.0107	1067300	0.0107	1066165	0.0107	67796512	0.0107
144	762121	0.0076	762107	0.0076	763337	0.0076	762243	0.0076	48406056	0.0076
145	537287	0.0054	536169	0.0054	536275	0.0054	535620	0.0054	34088292	0.0054
146	372264	0.0037	372877	0.0037	372854	0.0037	373562	0.0037	23662872	0.0037
147	254452	0.0025	255661	0.0026	255131	0.0026	255318	0.0026	16177656	0.0025
148	170530	0.0017	171237	0.0017	171677	0.0017	171715	0.0017	10885276	0.0017
149	113459	0.0011	113274	0.0011	113139	0.0011	112814	0.0011	7200352	0.0011
150	73328	0.0007	73431	0.0007	73702	0.0007	73481	0.0007	4678132	0.0007
151	46938	0.0005	46693	0.0005	47188	0.0005	46773	0.0005	2980992	0.0005
152	29340	0.0003	29291	0.0003	29471	0.0003	29483	0.0003	1860884	0.0003
153	17984	0.0002	17543	0.0002	17793	0.0002	17851	0.0002	1135720	0.0002
154	10685	0.0001	10697	0.0001	10676	0.0001	10607	0.0001	676704	0.0001
155	6308	0.0001	6139	0.0001	6184	0.0001	6109	0.0001	392460	0.0001
156	3452	0.0000	3432	0.0000	3461	0.0000	3499	0.0000	221128	0.0000
157	1846	0.0000	1904	0.0000	1874	0.0000	1789	0.0000	120504	0.0000
158	1008	0.0000	952	0.0000	1073	0.0000	999	0.0000	63344	0.0000
159	494	0.0000	507	0.0000	517	0.0000	472	0.0000	31884	0.0000
160	247	0.0000	249	0.0000	209	0.0000	210	0.0000	15308	0.0000
161	107	0.0000	112	0.0000	127	0.0000	115	0.0000	6916	0.0000
162	35	0.0000	50	0.0000	45	0.0000	45	0.0000	2928	0.0000
163	21	0.0000	13	0.0000	20	0.0000	10	0.0000	1132	0.0000
164	1	0.0000	10	0.0000	5	0.0000	5	0.0000	392	0.0000
165	5	0.0000	0	0	1	0.0000	1	0.0000	116	0.0000
166	1	0.0000	0	0	0	0	0	0	28	0.0000
167	0	0	1	0.0000	0	0	0	0	4	0.0000
127	10000000000	104.0002	10000000000	103.9999	10000000000	103.9999	10000000000	104.0000	635013559600	104.0000

Stats 8H05 Main

Top Random Deals

Spades

Number of spades in hand

Spades	North		South		West		East		Theoretical
0	127904784	1.2790	127909564	1.2791	127919784	1.2792	127915029	1.2792	8122425444	1.2791
1	800642557	8.0064	800601053	8.0060	800588153	8.0059	800594500	8.0059	50840366668	8.0062
2	2058758654	20.5876	2058737353	20.5874	2058778127	20.5878	2058732209	20.5873	130732371432	20.5873
3	2863290186	28.6329	2863279480	28.6328	2863287254	28.6329	2863247365	28.6325	181823183256	28.6330
4	2386098534	23.8610	2386089138	23.8609	2386062720	23.8606	2386148067	23.8615	151519319380	23.8608
5	1246891763	12.4689	1246921609	12.4692	1246889720	12.4689	1246934335	12.4693	79181063676	12.4692
6	415617092	4.1562	415660243	4.1566	415675039	4.1568	415622536	4.1562	26393687892	4.1564
7	88161909	0.8816	88162573	0.8816	88162565	0.8816	88165152	0.8817	5598661068	0.8817
8	11666148	0.1167	11671596	0.1167	11668200	0.1167	11671898	0.1167	740999259	0.1167
9	926514	0.0093	925217	0.0093	926573	0.0093	926962	0.0093	58809465	0.0093
10	40962	0.0004	41191	0.0004	40927	0.0004	41002	0.0004	2613754	0.0004
11	889	0.0000	975	0.0000	932	0.0000	938	0.0000	57798	0.0000
12	8	0.0000	8	0.0000	6	0.0000	7	0.0000	507	0.0000
13	0	0	0	0	0	0	0	0	1	0.0000
14	10000000000	3.2500	10000000000	3.2500	10000000000	3.2500	10000000000	3.2500	635013559600	3.2500

Stats 8H05 Main

Top Random Deals

Hearts

Number of hearts in hand

Hearts	North		South		West		East		Theoretical
0	127895724	1.2790	127918384	1.2792	127900819	1.2790	127928062	1.2793	8122425444	1.2791
1	800622915	8.0062	800665258	8.0067	800585704	8.0059	800583339	8.0058	50840366668	8.0062
2	2058748954	20.5875	2058647915	20.5865	2058703581	20.5870	2058805359	20.5881	130732371432	20.5873
3	2863266969	28.6327	2863335650	28.6334	2863285169	28.6329	2863353630	28.6335	181823183256	28.6330
4	2386120493	23.8612	2386031320	23.8603	2386129678	23.8613	2386020092	23.8602	151519319380	23.8608
5	1246883180	12.4688	1246970142	12.4697	1246975371	12.4698	1246869752	12.4687	79181063676	12.4692
6	415651961	4.1565	415644205	4.1564	415617486	4.1562	415638553	4.1564	26393687892	4.1564
7	88174476	0.8817	88147457	0.8815	88163715	0.8816	88163131	0.8816	5598661068	0.8817
8	11668709	0.1167	11672491	0.1167	11671188	0.1167	11669959	0.1167	740999259	0.1167
9	924733	0.0092	925043	0.0093	925027	0.0093	926102	0.0093	58809465	0.0093
10	40922	0.0004	41252	0.0004	41362	0.0004	41082	0.0004	2613754	0.0004
11	956	0.0000	879	0.0000	896	0.0000	930	0.0000	57798	0.0000
12	8	0.0000	4	0.0000	4	0.0000	9	0.0000	507	0.0000
13	0	0	0	0	0	0	0	0	1	0.0000
14	10000000000	3.2500	10000000000	3.2500	10000000000	3.2500	10000000000	3.2500	635013559600	3.2500

Stats 8H05 Main

Top Random Deals

Diamonds

Number of diamonds in hand

Diamonds	North		South		West		East		Theoretical
0	127898946	1.2790	127910644	1.2791	127916721	1.2792	127921974	1.2792	8122425444	1.2791
1	800659952	8.0066	800609538	8.0061	800625029	8.0063	800603726	8.0060	50840366668	8.0062
2	2058750413	20.5875	2058751517	20.5875	2058766412	20.5877	2058715768	20.5872	130732371432	20.5873
3	2863224241	28.6322	2863281402	28.6328	2863321550	28.6332	2863320609	28.6332	181823183256	28.6330
4	2386050550	23.8605	2386051671	23.8605	2386023111	23.8602	2386032019	23.8603	151519319380	23.8608
5	1246968495	12.4697	1246930475	12.4693	1246914538	12.4691	1246957088	12.4696	79181063676	12.4692
6	415649617	4.1565	415638154	4.1564	415618764	4.1562	415641826	4.1564	26393687892	4.1564
7	88159884	0.8816	88187835	0.8819	88175082	0.8818	88169265	0.8817	5598661068	0.8817
8	11668933	0.1167	11670889	0.1167	11669782	0.1167	11667512	0.1167	740999259	0.1167
9	927195	0.0093	926187	0.0093	926560	0.0093	928195	0.0093	58809465	0.0093
10	40900	0.0004	40738	0.0004	41512	0.0004	41158	0.0004	2613754	0.0004
11	865	0.0000	943	0.0000	934	0.0000	858	0.0000	57798	0.0000
12	9	0.0000	7	0.0000	5	0.0000	2	0.0000	507	0.0000
13	0	0	0	0	0	0	0	0	1	0.0000
14	10000000000	3.2500	10000000000	3.2500	10000000000	3.2500	10000000000	3.2500	635013559600	3.2500

Stats 8H05 Main

Top Random Deals

Clubs

Number of clubs in hand

Clubs	North		South		West		East		Theoretical
0	127895219	1.2790	127902597	1.2790	127907439	1.2791	127905603	1.2791	8122425444	1.2791
1	800620043	8.0062	800651812	8.0065	800632080	8.0063	800606173	8.0061	50840366668	8.0062
2	2058694095	20.5869	2058766705	20.5877	2058690830	20.5869	2058763246	20.5876	130732371432	20.5873
3	2863329477	28.6333	2863275439	28.6328	2863357088	28.6336	2863242949	28.6324	181823183256	28.6330
4	2386070652	23.8607	2386071036	23.8607	2386086326	23.8609	2386089336	23.8609	151519319380	23.8608
5	1246940297	12.4694	1246881055	12.4688	1246896639	12.4690	1246955915	12.4696	79181063676	12.4692
6	415643677	4.1564	415651185	4.1565	415630382	4.1563	415633449	4.1563	26393687892	4.1564
7	88168078	0.8817	88169146	0.8817	88161239	0.8816	88166056	0.8817	5598661068	0.8817
8	11669984	0.1167	11664124	0.1166	11669015	0.1167	11668877	0.1167	740999259	0.1167
9	926235	0.0093	924999	0.0092	926980	0.0093	926300	0.0093	58809465	0.0093
10	41335	0.0004	40968	0.0004	41079	0.0004	41161	0.0004	2613754	0.0004
11	901	0.0000	925	0.0000	900	0.0000	930	0.0000	57798	0.0000
12	7	0.0000	9	0.0000	3	0.0000	5	0.0000	507	0.0000
13	0	0	0	0	0	0	0	0	1	0.0000
14	10000000000	3.2500	10000000000	3.2500	10000000000	3.2500	10000000000	3.2500	635013559600	3.2500

Stats 8H05 Main

Top Random Deals

Spade tricks

Evaluated in half-tricks (refinements)

K Qx Kx JTx Qxx = 1 A KJ KQ Ax QJx Kxx Axx = 2
AJ AQ KJT KQx AJx AQx = 3 AK KQJ AQT AKx = 4
AQJ AKJ = 5 AKQ = 6 Each spade over three = 2

Half-tricks	North		South		West		East		Theoretical
0	3114418389	31.1442	3114346013	31.1435	3114344035	31.1434	3114311822	31.1431	197767203572	31.1438
1	1003587585	10.0359	1003567915	10.0357	1003565108	10.0357	1003601593	10.0360	63728659696	10.0358
2	1850296833	18.5030	1850366284	18.5037	1850398883	18.5040	1850355553	18.5036	117497308188	18.5031
3	696896567	6.9690	696880656	6.9688	696861081	6.9686	696847758	6.9685	44251732564	6.9686
4	1100583944	11.0058	1100572515	11.0057	1100613077	11.0061	1100621138	11.0062	69892220632	11.0064
5	556784872	5.5678	556793504	5.5679	556739003	5.5674	556789054	5.5679	35355647184	5.5677
6	600575072	6.0058	600603294	6.0060	600557839	6.0056	600595824	6.0060	38137887788	6.0058
7	351692982	3.5169	351675974	3.5168	351707327	3.5171	351712978	3.5171	22333120524	3.5170
8	288556658	2.8856	288562408	2.8856	288594409	2.8859	288555656	2.8856	18324133672	2.8856
9	168505920	1.6851	168521086	1.6852	168499751	1.6850	168517737	1.6852	10700471262	1.6851
10	126007457	1.2601	126014445	1.2601	126018291	1.2602	125991082	1.2599	8001815952	1.2601
11	60266449	0.6027	60270190	0.6027	60270880	0.6027	60270776	0.6027	3827056779	0.6027
12	46948751	0.4695	46946540	0.4695	46955260	0.4696	46952535	0.4695	2981489082	0.4695
13	14359571	0.1436	14365261	0.1437	14367225	0.1437	14361824	0.1436	911999088	0.1436
14	14291371	0.1429	14285050	0.1429	14281344	0.1428	14285691	0.1429	907310781	0.1429
15	3056582	0.0306	3058759	0.0306	3056980	0.0306	3058989	0.0306	194194611	0.0306
16	2500935	0.0250	2500922	0.0250	2499868	0.0250	2499496	0.0250	158762708	0.0250
17	202231	0.0020	201947	0.0020	202382	0.0020	202276	0.0020	12840295	0.0020
18	435595	0.0044	434862	0.0043	434916	0.0043	435913	0.0044	27645475	0.0044
19	7707	0.0001	7740	0.0001	7650	0.0001	7621	0.0001	493506	0.0001
20	23768	0.0002	23808	0.0002	23887	0.0002	23881	0.0002	1516827	0.0002
22	755	0.0000	820	0.0000	799	0.0000	797	0.0000	48945	0.0000
24	6	0.0000	7	0.0000	5	0.0000	6	0.0000	468	0.0000
26	0	0	0	0	0	0	0	0	1	0.0000
24	10000000000	2.6842	10000000000	2.6843	10000000000	2.6843	10000000000	2.6843	635013559600	2.6843

Stats 8H05 Main

Top Random Deals

Heart tricks

Evaluated in half-tricks (refinements)

K Qx Kx JTx Qxx = 1 A KJ KQ Ax QJx Kxx Axx = 2
AJ AQ KJT KQx AJx AQx = 3 AK KQJ AQT AKx = 4
AQJ AKJ = 5 AKQ = 6 Each heart over three = 2

Half-tricks	North		South		West		East		Theoretical
0	3114354369	31.1435	3114412206	31.1441	3114327859	31.1433	3114399433	31.1440	197767203572	31.1438
1	1003580131	10.0358	1003556477	10.0356	1003595962	10.0360	1003573290	10.0357	63728659696	10.0358
2	1850314714	18.5031	1850334450	18.5033	1850308420	18.5031	1850334168	18.5033	117497308188	18.5031
3	696888274	6.9689	696821010	6.9682	696827575	6.9683	696865585	6.9687	44251732564	6.9686
4	1100623748	11.0062	1100630327	11.0063	1100684602	11.0068	1100673630	11.0067	69892220632	11.0064
5	556764364	5.5676	556792575	5.5679	556758057	5.5676	556740321	5.5674	35355647184	5.5677
6	600590548	6.0059	600574649	6.0057	600610302	6.0061	600559746	6.0056	38137887788	6.0058
7	351693387	3.5169	351692515	3.5169	351717081	3.5172	351694836	3.5169	22333120524	3.5170
8	288558249	2.8856	288588035	2.8859	288561903	2.8856	288553711	2.8855	18324133672	2.8856
9	168528241	1.6853	168502873	1.6850	168493191	1.6849	168504408	1.6850	10700471262	1.6851
10	126009831	1.2601	126015704	1.2602	126023676	1.2602	126008335	1.2601	8001815952	1.2601
11	60260405	0.6026	60262631	0.6026	60256325	0.6026	60256370	0.6026	3827056779	0.6027
12	46951791	0.4695	46939524	0.4694	46959959	0.4696	46953892	0.4695	2981489082	0.4695
13	14361147	0.1436	14359116	0.1436	14357108	0.1436	14362444	0.1436	911999088	0.1436
14	14292207	0.1429	14287571	0.1429	14284823	0.1428	14293343	0.1429	907310781	0.1429
15	3058463	0.0306	3060002	0.0306	3062152	0.0306	3057059	0.0306	194194611	0.0306
16	2501355	0.0250	2500725	0.0250	2501410	0.0250	2499482	0.0250	158762708	0.0250
17	202108	0.0020	202388	0.0020	201869	0.0020	202364	0.0020	12840295	0.0020
18	434423	0.0043	434658	0.0043	435221	0.0044	435145	0.0044	27645475	0.0044
19	7661	0.0001	7691	0.0001	7783	0.0001	7696	0.0001	493506	0.0001
20	23773	0.0002	24134	0.0002	23977	0.0002	23944	0.0002	1516827	0.0002
22	805	0.0000	737	0.0000	742	0.0000	789	0.0000	48945	0.0000
24	6	0.0000	2	0.0000	3	0.0000	9	0.0000	468	0.0000
26	0	0	0	0	0	0	0	0	1	0.0000
24	10000000000	2.6843	10000000000	2.6843	10000000000	2.6843	10000000000	2.6842	635013559600	2.6843

Stats 8H05 Main

Top Random Deals

Diamond tricks

Evaluated in half-tricks (refinements)

K Qx Kx JTx Qxx = 1 A KJ KQ Ax QJx Kxx Axx = 2
AJ AQ KJT KQx AJx AQx = 3 AK KQJ AQT AKx = 4
AQJ AKJ = 5 AKQ = 6 Each diamond over three = 2

Half-tricks	North		South		West		East		Theoretical
0	3114353148	31.1435	3114365569	31.1437	3114452825	31.1445	3114357356	31.1436	197767203572	31.1438
1	1003553373	10.0355	1003613604	10.0361	1003584935	10.0358	1003554796	10.0355	63728659696	10.0358
2	1850282620	18.5028	1850311155	18.5031	1850300844	18.5030	1850288639	18.5029	117497308188	18.5031
3	696881268	6.9688	696848727	6.9685	696842420	6.9684	696897230	6.9690	44251732564	6.9686
4	1100617476	11.0062	1100633716	11.0063	1100685048	11.0069	1100653305	11.0065	69892220632	11.0064
5	556780029	5.5678	556776960	5.5678	556737174	5.5674	556788168	5.5679	35355647184	5.5677
6	600589552	6.0059	600563810	6.0056	600555916	6.0056	600608446	6.0061	38137887788	6.0058
7	351721782	3.5172	351683470	3.5168	351682781	3.5168	351684395	3.5168	22333120524	3.5170
8	288607225	2.8861	288584462	2.8858	288544682	2.8854	288577289	2.8858	18324133672	2.8856
9	168527600	1.6853	168493323	1.6849	168494538	1.6849	168481988	1.6848	10700471262	1.6851
10	125993894	1.2599	126007164	1.2601	126010604	1.2601	126020902	1.2602	8001815952	1.2601
11	60269744	0.6027	60274919	0.6027	60265907	0.6027	60262100	0.6026	3827056779	0.6027
12	46953622	0.4695	46962214	0.4696	46964550	0.4696	46945816	0.4695	2981489082	0.4695
13	14355924	0.1436	14362239	0.1436	14357236	0.1436	14360434	0.1436	911999088	0.1436
14	14281060	0.1428	14289782	0.1429	14292260	0.1429	14289959	0.1429	907310781	0.1429
15	3060436	0.0306	3057374	0.0306	3057806	0.0306	3057991	0.0306	194194611	0.0306
16	2499942	0.0250	2501994	0.0250	2500376	0.0250	2499763	0.0250	158762708	0.0250
17	202802	0.0020	202325	0.0020	202251	0.0020	202678	0.0020	12840295	0.0020
18	436343	0.0044	435099	0.0044	434949	0.0043	436328	0.0044	27645475	0.0044
19	7711	0.0001	7566	0.0001	7791	0.0001	7824	0.0001	493506	0.0001
20	23738	0.0002	23717	0.0002	24301	0.0002	23863	0.0002	1516827	0.0002
22	703	0.0000	805	0.0000	801	0.0000	728	0.0000	48945	0.0000
24	8	0.0000	6	0.0000	5	0.0000	2	0.0000	468	0.0000
26	0	0	0	0	0	0	0	0	1	0.0000
24	10000000000	2.6843	10000000000	2.6843	10000000000	2.6842	10000000000	2.6843	635013559600	2.6843

Stats 8H05 Main

Top Random Deals

Club tricks

Evaluated in half-tricks (refinements)

K Qx Kx JTx Qxx = 1 A KJ KQ Ax QJx Kxx Axx = 2
AJ AQ KJT KQx AJx AQx = 3 AK KQJ AQT AKx = 4
AQJ AKJ = 5 AKQ = 6 Each club over three = 2

Half-tricks	North		South		West		East		Theoretical
0	3114369386	31.1437	3114390081	31.1439	3114367874	31.1437	3114459021	31.1446	197767203572	31.1438
1	1003575308	10.0358	1003561570	10.0356	1003608415	10.0361	1003541152	10.0354	63728659696	10.0358
2	1850269055	18.5027	1850341622	18.5034	1850323462	18.5032	1850267054	18.5027	117497308188	18.5031
3	696889875	6.9689	696876005	6.9688	696859889	6.9686	696826429	6.9683	44251732564	6.9686
4	1100641309	11.0064	1100645551	11.0065	1100658104	11.0066	1100618904	11.0062	69892220632	11.0064
5	556765862	5.5677	556746267	5.5675	556774454	5.5677	556762098	5.5676	35355647184	5.5677
6	600598322	6.0060	600555864	6.0056	600584083	6.0058	600622114	6.0062	38137887788	6.0058
7	351688487	3.5169	351697626	3.5170	351684781	3.5168	351706252	3.5171	22333120524	3.5170
8	288554216	2.8855	288562411	2.8856	288541220	2.8854	288572896	2.8857	18324133672	2.8856
9	168523447	1.6852	168513928	1.6851	168502658	1.6850	168507338	1.6851	10700471262	1.6851
10	126011587	1.2601	126006907	1.2601	125998126	1.2600	126005641	1.2601	8001815952	1.2601
11	60274079	0.6027	60277428	0.6028	60273920	0.6027	60262151	0.6026	3827056779	0.6027
12	46959355	0.4696	46955403	0.4696	46954691	0.4695	46969242	0.4697	2981489082	0.4695
13	14364522	0.1436	14358239	0.1436	14359895	0.1436	14362779	0.1436	911999088	0.1436
14	14286047	0.1429	14287908	0.1429	14280029	0.1428	14289759	0.1429	907310781	0.1429
15	3056579	0.0306	3057769	0.0306	3057054	0.0306	3055680	0.0306	194194611	0.0306
16	2501397	0.0250	2496263	0.0250	2501288	0.0250	2500784	0.0250	158762708	0.0250
17	203162	0.0020	202068	0.0020	203227	0.0020	202090	0.0020	12840295	0.0020
18	435465	0.0044	434872	0.0043	434475	0.0043	436105	0.0044	27645475	0.0044
19	7880	0.0001	7791	0.0001	7824	0.0001	7873	0.0001	493506	0.0001
20	23876	0.0002	23637	0.0002	23762	0.0002	23856	0.0002	1516827	0.0002
22	777	0.0000	781	0.0000	766	0.0000	777	0.0000	48945	0.0000
24	7	0.0000	9	0.0000	3	0.0000	5	0.0000	468	0.0000
26	0	0	0	0	0	0	0	0	1	0.0000
24	10000000000	2.6843	10000000000	2.6843	10000000000	2.6842	10000000000	2.6843	635013559600	2.6843

Stats 8H05 Main

Top Random Deals

Spade control

Spade stop = 16 Half-stop = 8 1st rd control = 4 2nd rd = 2 3rd rd = 1

Bitmap	North		South		West		East		Theoretical
00000	1074576998	10.7458	1074561433	10.7456	1074564433	10.7456	1074566454	10.7457	68236672504	10.7457
00001	1187741610	11.8774	1187730918	11.8773	1187735604	11.8774	1187730010	11.8773	75422521980	11.8773
00011	677480349	6.7748	677429381	6.7743	677413767	6.7741	677411957	6.7741	43018771796	6.7745
00111	127904784	1.2790	127909564	1.2791	127919784	1.2792	127915029	1.2792	8122425444	1.2791
01000	601535000	6.0154	601557740	6.0156	601536643	6.0154	601568000	6.0157	38199411536	6.0155
01001	263947830	2.6395	263952209	2.6395	263934713	2.6393	263936256	2.6394	16760560440	2.6394
01011	61577407	0.6158	61586452	0.6159	61588494	0.6159	61592637	0.6159	3910797436	0.6159
10000	527638496	5.2764	527712559	5.2771	527678937	5.2768	527671962	5.2767	33507777940	5.2767
10001	1127426171	11.2743	1127411273	11.2741	1127396352	11.2740	1127402021	11.2740	71592376960	11.2741
10010	1127396897	11.2740	1127402408	11.2740	1127412522	11.2741	1127456588	11.2746	71592376960	11.2741
10011	722743849	7.2274	722780544	7.2278	722778600	7.2278	722785365	7.2279	45896476704	7.2276
10100	1127412062	11.2741	1127427754	11.2743	1127422255	11.2742	1127388074	11.2739	71592376960	11.2741
10101	722800272	7.2280	722761627	7.2276	722783882	7.2278	722760018	7.2276	45896476704	7.2276
10110	432433985	4.3243	432392099	4.3239	432450713	4.3245	432448466	4.3245	27459860220	4.3243
10111	217384290	2.1738	217384039	2.1738	217383301	2.1738	217367163	2.1737	13804676016	2.1739
15	10000000000	12.5855	10000000000	12.5855	10000000000	12.5856	10000000000	12.5856	635013559600	12.5855

Stats 8H05 Main

Top Random Deals

Heart control

Heart stop = 16 Half-stop = 8 1st rd control = 4 2nd rd = 2 3rd rd = 1

Bitmap	North		South		West		East		Theoretical
00000	1074577696	10.7458	1074605319	10.7461	1074560234	10.7456	1074546803	10.7455	68236672504	10.7457
00001	1187729560	11.8773	1187700142	11.8770	1187731981	11.8773	1187775286	11.8778	75422521980	11.8773
00011	677441376	6.7744	677489297	6.7749	677405649	6.7741	677407651	6.7741	43018771796	6.7745
00111	127895724	1.2790	127918384	1.2792	127900819	1.2790	127928062	1.2793	8122425444	1.2791
01000	601565652	6.0157	601554361	6.0155	601594894	6.0159	601539171	6.0154	38199411536	6.0155
01001	263955159	2.6396	263941025	2.6394	263927852	2.6393	263932148	2.6393	16760560440	2.6394
01011	61588907	0.6159	61588920	0.6159	61594761	0.6159	61586036	0.6159	3910797436	0.6159
10000	527666393	5.2767	527681153	5.2768	527632060	5.2763	527642654	5.2764	33507777940	5.2767
10001	1127415214	11.2742	1127414333	11.2741	1127458919	11.2746	1127408909	11.2741	71592376960	11.2741
10010	1127361555	11.2736	1127386259	11.2739	1127457335	11.2746	1127421874	11.2742	71592376960	11.2741
10011	722777319	7.2278	722762151	7.2276	722750225	7.2275	722780778	7.2278	45896476704	7.2276
10100	1127410112	11.2741	1127442757	11.2744	1127404636	11.2740	1127446759	11.2745	71592376960	11.2741
10101	722774992	7.2277	722710010	7.2271	722754300	7.2275	722757935	7.2276	45896476704	7.2276
10110	432437030	4.3244	432406032	4.3241	432427150	4.3243	432444870	4.3244	27459860220	4.3243
10111	217403311	2.1740	217399857	2.1740	217399185	2.1740	217381064	2.1738	13804676016	2.1739
15	10000000000	12.5855	10000000000	12.5854	10000000000	12.5856	10000000000	12.5856	635013559600	12.5855

Stats 8H05 Main

Top Random Deals

Diamond control

Diamond stop = 16 Half-stop = 8 1st rd control = 4 2nd rd = 2 3rd rd = 1

Bitmap	North		South		West		East		Theoretical
00000	1074541318	10.7454	1074593541	10.7459	1074529998	10.7453	1074550345	10.7455	68236672504	10.7457
00001	1187739598	11.8774	1187722515	11.8772	1187764609	11.8776	1187709099	11.8771	75422521980	11.8773
00011	677462361	6.7746	677425694	6.7743	677457738	6.7746	677444153	6.7744	43018771796	6.7745
00111	127898946	1.2790	127910644	1.2791	127916721	1.2792	127921974	1.2792	8122425444	1.2791
01000	601499526	6.0150	601549279	6.0155	601610270	6.0161	601523533	6.0152	38199411536	6.0155
01001	263902486	2.6390	263949706	2.6395	263935752	2.6394	263920561	2.6392	16760560440	2.6394
01011	61600836	0.6160	61592402	0.6159	61579618	0.6158	61575835	0.6158	3910797436	0.6159
10000	527678560	5.2768	527667880	5.2767	527684135	5.2768	527690982	5.2769	33507777940	5.2767
10001	1127409710	11.2741	1127454922	11.2745	1127423082	11.2742	1127452146	11.2745	71592376960	11.2741
10010	1127394321	11.2739	1127442721	11.2744	1127369388	11.2737	1127424170	11.2742	71592376960	11.2741
10011	722766913	7.2277	722787923	7.2279	722739673	7.2274	722784416	7.2278	45896476704	7.2276
10100	1127418001	11.2742	1127367487	11.2737	1127416348	11.2742	1127415600	11.2742	71592376960	11.2741
10101	722824177	7.2282	722730962	7.2273	722750176	7.2275	722775857	7.2278	45896476704	7.2276
10110	432459832	4.3246	432391831	4.3239	432424294	4.3242	432429691	4.3243	27459860220	4.3243
10111	217403415	2.1740	217412493	2.1741	217398198	2.1740	217381638	2.1738	13804676016	2.1739
15	10000000000	12.5857	10000000000	12.5855	10000000000	12.5855	10000000000	12.5856	635013559600	12.5855

Stats 8H05 Main

Top Random Deals

Club control

Club stop = 16 Half-stop = 8 1st rd control = 4 2nd rd = 2 3rd rd = 1

Bitmap	North		South		West		East		Theoretical
00000	1074578057	10.7458	1074582016	10.7458	1074578022	10.7458	1074626630	10.7463	68236672504	10.7457
00001	1187732229	11.8773	1187740922	11.8774	1187716261	11.8772	1187788610	11.8779	75422521980	11.8773
00011	677455960	6.7746	677469273	6.7747	677465760	6.7747	677445047	6.7745	43018771796	6.7745
00111	127895219	1.2790	127902597	1.2790	127907439	1.2791	127905603	1.2791	8122425444	1.2791
01000	601546677	6.0155	601518933	6.0152	601560471	6.0156	601539950	6.0154	38199411536	6.0155
01001	263951965	2.6395	263946565	2.6395	263961338	2.6396	263929057	2.6393	16760560440	2.6394
01011	61584524	0.6158	61591458	0.6159	61576160	0.6158	61576045	0.6158	3910797436	0.6159
10000	527624817	5.2762	527678859	5.2768	527686318	5.2769	527665448	5.2767	33507777940	5.2767
10001	1127430317	11.2743	1127364691	11.2736	1127448616	11.2745	1127348060	11.2735	71592376960	11.2741
10010	1127437995	11.2744	1127427595	11.2743	1127428941	11.2743	1127404801	11.2740	71592376960	11.2741
10011	722770302	7.2277	722735257	7.2274	722719302	7.2272	722755893	7.2276	45896476704	7.2276
10100	1127397461	11.2740	1127418697	11.2742	1127375681	11.2738	1127401847	11.2740	71592376960	11.2741
10101	722749852	7.2275	722777253	7.2278	722765810	7.2277	722775791	7.2278	45896476704	7.2276
10110	432467554	4.3247	432432985	4.3243	432439970	4.3244	432428742	4.3243	27459860220	4.3243
10111	217377071	2.1738	217412899	2.1741	217369911	2.1737	217408476	2.1741	13804676016	2.1739
15	10000000000	12.5855	10000000000	12.5855	10000000000	12.5855	10000000000	12.5854	635013559600	12.5855

Stats 8H05 Main

Top Random Deals

Spade quality

A = 64  K = 32  Q = 16  J = 8  10 = 4  9 = 2  8 = 1

Bitmap	North		South		West		East		Theoretical
0000000	1149697264	11.4970	1149696765	11.4970	1149671534	11.4967	1149706788	11.4971	73006209045	11.4968
0000001	452945462	4.5295	452870088	4.5287	452883427	4.5288	452873760	4.5287	28760021745	4.5290
0000010	452902725	4.5290	452920123	4.5292	452916755	4.5292	452917049	4.5292	28760021745	4.5290
0000011	159830289	1.5983	159833738	1.5983	159865016	1.5987	159831607	1.5983	10150595910	1.5985
0000100	452920655	4.5292	452894803	4.5289	452890094	4.5289	452899403	4.5290	28760021745	4.5290
0000101	159829631	1.5983	159867059	1.5987	159857044	1.5986	159837380	1.5984	10150595910	1.5985
0000110	159834388	1.5983	159851276	1.5985	159855963	1.5986	159844395	1.5984	10150595910	1.5985
0000111	50238142	0.5024	50242757	0.5024	50238511	0.5024	50235986	0.5024	3190187286	0.5024
0001000	452865370	4.5287	452913606	4.5291	452874027	4.5287	452894643	4.5289	28760021745	4.5290
0001001	159834926	1.5983	159863877	1.5986	159849787	1.5985	159859801	1.5986	10150595910	1.5985
0001010	159840397	1.5984	159843237	1.5984	159861492	1.5986	159843557	1.5984	10150595910	1.5985
0001011	50241262	0.5024	50228534	0.5023	50239850	0.5024	50230460	0.5023	3190187286	0.5024
0001100	159840676	1.5984	159843124	1.5984	159820855	1.5982	159872270	1.5987	10150595910	1.5985
0001101	50248346	0.5025	50239115	0.5024	50254083	0.5025	50240484	0.5024	3190187286	0.5024
0001110	50251733	0.5025	50252854	0.5025	50230041	0.5023	50235154	0.5024	3190187286	0.5024
0001111	13958451	0.1396	13953735	0.1395	13952678	0.1395	13958657	0.1396	886163135	0.1396
0010000	452929085	4.5293	452892926	4.5289	452884929	4.5288	452892206	4.5289	28760021745	4.5290
0010001	159857660	1.5986	159858315	1.5986	159846654	1.5985	159842999	1.5984	10150595910	1.5985
0010010	159849847	1.5985	159856869	1.5986	159835316	1.5984	159857755	1.5986	10150595910	1.5985
0010011	50233437	0.5023	50244382	0.5024	50233798	0.5023	50229849	0.5023	3190187286	0.5024
0010100	159858007	1.5986	159830572	1.5983	159853169	1.5985	159846351	1.5985	10150595910	1.5985
0010101	50239363	0.5024	50223269	0.5022	50243571	0.5024	50230808	0.5023	3190187286	0.5024
0010110	50237743	0.5024	50234900	0.5023	50247251	0.5025	50249904	0.5025	3190187286	0.5024
0010111	13957407	0.1396	13959294	0.1396	13957893	0.1396	13955739	0.1396	886163135	0.1396
0011000	159840203	1.5984	159852210	1.5985	159848469	1.5985	159848731	1.5985	10150595910	1.5985
0011001	50235539	0.5024	50241648	0.5024	50236010	0.5024	50238988	0.5024	3190187286	0.5024
0011010	50234653	0.5023	50241238	0.5024	50226511	0.5023	50242918	0.5024	3190187286	0.5024
0011011	13957035	0.1396	13958869	0.1396	13956541	0.1396	13954024	0.1395	886163135	0.1396
0011100	50238964	0.5024	50242929	0.5024	50238448	0.5024	50237437	0.5024	3190187286	0.5024
0011101	13953054	0.1395	13958872	0.1396	13952716	0.1395	13948310	0.1395	886163135	0.1396
0011110	13955811	0.1396	13956531	0.1396	13960989	0.1396	13952510	0.1395	886163135	0.1396
0011111	3393713	0.0339	3397562	0.0340	3396811	0.0340	3391766	0.0339	215553195	0.0339
0100000	452882988	4.5288	452874757	4.5287	452903995	4.5290	452912230	4.5291	28760021745	4.5290
0100001	159872430	1.5987	159856494	1.5986	159845195	1.5985	159846269	1.5985	10150595910	1.5985
0100010	159870676	1.5987	159843070	1.5984	159834387	1.5983	159894828	1.5989	10150595910	1.5985
0100011	50236849	0.5024	50237719	0.5024	50234584	0.5023	50245203	0.5025	3190187286	0.5024
0100100	159814151	1.5981	159846899	1.5985	159843104	1.5984	159858894	1.5986	10150595910	1.5985
0100101	50238261	0.5024	50252466	0.5025	50239472	0.5024	50245599	0.5025	3190187286	0.5024
0100110	50231748	0.5023	50233555	0.5023	50239091	0.5024	50230222	0.5023	3190187286	0.5024
0100111	13955307	0.1396	13954049	0.1395	13960626	0.1396	13948822	0.1395	886163135	0.1396
0101000	159840160	1.5984	159843551	1.5984	159873734	1.5987	159859329	1.5986	10150595910	1.5985
0101001	50239825	0.5024	50241593	0.5024	50242699	0.5024	50231293	0.5023	3190187286	0.5024
0101010	50234263	0.5023	50229251	0.5023	50237080	0.5024	50232943	0.5023	3190187286	0.5024
0101011	13951044	0.1395	13958476	0.1396	13956523	0.1396	13950436	0.1395	886163135	0.1396
0101100	50242958	0.5024	50240145	0.5024	50247208	0.5025	50233782	0.5023	3190187286	0.5024
0101101	13953592	0.1395	13953338	0.1395	13954073	0.1395	13957020	0.1396	886163135	0.1396
0101110	13953541	0.1395	13960148	0.1396	13956269	0.1396	13957476	0.1396	886163135	0.1396
0101111	3391838	0.0339	3392586	0.0339	3394682	0.0339	3393581	0.0339	215553195	0.0339
0110000	159832529	1.5983	159856810	1.5986	159833317	1.5983	159846409	1.5985	10150595910	1.5985
0110001	50241791	0.5024	50235257	0.5024	50240538	0.5024	50239819	0.5024	3190187286	0.5024
0110010	50234349	0.5023	50247065	0.5025	50239682	0.5024	50238685	0.5024	3190187286	0.5024
0110011	13951214	0.1395	13950882	0.1395	13959350	0.1396	13947902	0.1395	886163135	0.1396
0110100	50247117	0.5025	50249273	0.5025	50231033	0.5023	50254597	0.5025	3190187286	0.5024
0110101	13960030	0.1396	13959346	0.1396	13961431	0.1396	13953620	0.1395	886163135	0.1396
0110110	13952632	0.1395	13950345	0.1395	13951411	0.1395	13957145	0.1396	886163135	0.1396
0110111	3393389	0.0339	3396557	0.0340	3394934	0.0339	3393164	0.0339	215553195	0.0339
0111000	50236734	0.5024	50239744	0.5024	50239682	0.5024	50243166	0.5024	3190187286	0.5024
0111001	13949458	0.1395	13955208	0.1396	13955979	0.1396	13953293	0.1395	886163135	0.1396
0111010	13956422	0.1396	13956114	0.1396	13956937	0.1396	13955531	0.1396	886163135	0.1396
0111011	3396718	0.0340	3392535	0.0339	3394331	0.0339	3395897	0.0340	215553195	0.0339
0111100	13959172	0.1396	13956082	0.1396	13954885	0.1395	13950762	0.1395	886163135	0.1396
0111101	3391436	0.0339	3393577	0.0339	3392926	0.0339	3397864	0.0340	215553195	0.0339
0111110	3391598	0.0339	3399290	0.0340	3396109	0.0340	3394186	0.0339	215553195	0.0339
0111111	713933	0.0071	713222	0.0071	714349	0.0071	714623	0.0071	45379620	0.0071
1000000	452933281	4.5293	452869809	4.5287	452940426	4.5294	452936857	4.5294	28760021745	4.5290
1000001	159848564	1.5985	159845508	1.5985	159852295	1.5985	159829882	1.5983	10150595910	1.5985
1000010	159841086	1.5984	159835011	1.5984	159837338	1.5984	159823046	1.5982	10150595910	1.5985
1000011	50244456	0.5024	50251515	0.5025	50236243	0.5024	50243060	0.5024	3190187286	0.5024
1000100	159830702	1.5983	159852297	1.5985	159839025	1.5984	159840443	1.5984	10150595910	1.5985
1000101	50237207	0.5024	50238209	0.5024	50250367	0.5025	50225958	0.5023	3190187286	0.5024
1000110	50245378	0.5025	50249175	0.5025	50238413	0.5024	50245264	0.5025	3190187286	0.5024
1000111	13948291	0.1395	13958307	0.1396	13953893	0.1395	13953614	0.1395	886163135	0.1396
1001000	159860055	1.5986	159855115	1.5986	159837978	1.5984	159855540	1.5986	10150595910	1.5985
1001001	50242973	0.5024	50237193	0.5024	50239309	0.5024	50238323	0.5024	3190187286	0.5024
1001010	50236746	0.5024	50247400	0.5025	50237732	0.5024	50233099	0.5023	3190187286	0.5024
1001011	13951015	0.1395	13962012	0.1396	13959113	0.1396	13952731	0.1395	886163135	0.1396
1001100	50234415	0.5023	50237705	0.5024	50242018	0.5024	50238738	0.5024	3190187286	0.5024
1001101	13954117	0.1395	13956508	0.1396	13962022	0.1396	13955226	0.1396	886163135	0.1396
1001110	13951591	0.1395	13950980	0.1395	13946022	0.1395	13953788	0.1395	886163135	0.1396
1001111	3391284	0.0339	3395451	0.0340	3394142	0.0339	3394491	0.0339	215553195	0.0339
1010000	159867477	1.5987	159866544	1.5987	159849487	1.5985	159845675	1.5985	10150595910	1.5985
1010001	50240359	0.5024	50241109	0.5024	50236429	0.5024	50228515	0.5023	3190187286	0.5024
1010010	50240972	0.5024	50222130	0.5022	50229310	0.5023	50242823	0.5024	3190187286	0.5024
1010011	13953978	0.1395	13951831	0.1395	13955511	0.1396	13962087	0.1396	886163135	0.1396
1010100	50239648	0.5024	50232143	0.5023	50238419	0.5024	50235630	0.5024	3190187286	0.5024
1010101	13955877	0.1396	13957562	0.1396	13958259	0.1396	13952825	0.1395	886163135	0.1396
1010110	13952598	0.1395	13950497	0.1395	13951644	0.1395	13953382	0.1395	886163135	0.1396
1010111	3395486	0.0340	3395867	0.0340	3393901	0.0339	3394179	0.0339	215553195	0.0339
1011000	50241180	0.5024	50246118	0.5025	50240631	0.5024	50244311	0.5024	3190187286	0.5024
1011001	13950922	0.1395	13956033	0.1396	13955377	0.1396	13947665	0.1395	886163135	0.1396
1011010	13954050	0.1395	13953420	0.1395	13959351	0.1396	13956584	0.1396	886163135	0.1396
1011011	3396117	0.0340	3398658	0.0340	3394504	0.0339	3394405	0.0339	215553195	0.0339
1011100	13951790	0.1395	13956157	0.1396	13961536	0.1396	13957265	0.1396	886163135	0.1396
1011101	3398330	0.0340	3396203	0.0340	3393655	0.0339	3393810	0.0339	215553195	0.0339
1011110	3393656	0.0339	3393671	0.0339	3394506	0.0339	3394559	0.0339	215553195	0.0339
1011111	713534	0.0071	714463	0.0071	713173	0.0071	714223	0.0071	45379620	0.0071
1100000	159855520	1.5986	159844461	1.5984	159854057	1.5985	159846368	1.5985	10150595910	1.5985
1100001	50239005	0.5024	50223577	0.5022	50231454	0.5023	50243643	0.5024	3190187286	0.5024
1100010	50235968	0.5024	50233411	0.5023	50251094	0.5025	50238742	0.5024	3190187286	0.5024
1100011	13955042	0.1396	13957444	0.1396	13950528	0.1395	13952477	0.1395	886163135	0.1396
1100100	50234154	0.5023	50232260	0.5023	50249080	0.5025	50238415	0.5024	3190187286	0.5024
1100101	13958456	0.1396	13954391	0.1395	13954358	0.1395	13956458	0.1396	886163135	0.1396
1100110	13956561	0.1396	13954230	0.1395	13954969	0.1395	13949218	0.1395	886163135	0.1396
1100111	3397144	0.0340	3397139	0.0340	3394389	0.0339	3395736	0.0340	215553195	0.0339
1101000	50231269	0.5023	50234105	0.5023	50243117	0.5024	50242668	0.5024	3190187286	0.5024
1101001	13957764	0.1396	13955845	0.1396	13953487	0.1395	13957263	0.1396	886163135	0.1396
1101010	13952988	0.1395	13951698	0.1395	13952143	0.1395	13956562	0.1396	886163135	0.1396
1101011	3394053	0.0339	3393512	0.0339	3396772	0.0340	3397283	0.0340	215553195	0.0339
1101100	13955293	0.1396	13957037	0.1396	13949564	0.1395	13958201	0.1396	886163135	0.1396
1101101	3394654	0.0339	3392859	0.0339	3395781	0.0340	3392015	0.0339	215553195	0.0339
1101110	3391791	0.0339	3394653	0.0339	3397800	0.0340	3396162	0.0340	215553195	0.0339
1101111	714706	0.0071	716141	0.0072	713267	0.0071	714710	0.0071	45379620	0.0071
1110000	50229781	0.5023	50237475	0.5024	50237324	0.5024	50240649	0.5024	3190187286	0.5024
1110001	13957707	0.1396	13954513	0.1395	13953665	0.1395	13955155	0.1396	886163135	0.1396
1110010	13956170	0.1396	13955689	0.1396	13957231	0.1396	13954417	0.1395	886163135	0.1396
1110011	3392609	0.0339	3398754	0.0340	3394215	0.0339	3393358	0.0339	215553195	0.0339
1110100	13952276	0.1395	13954418	0.1395	13956485	0.1396	13945849	0.1395	886163135	0.1396
1110101	3393701	0.0339	3390956	0.0339	3393931	0.0339	3391986	0.0339	215553195	0.0339
1110110	3393555	0.0339	3396630	0.0340	3394496	0.0339	3393252	0.0339	215553195	0.0339
1110111	714650	0.0071	715254	0.0072	714899	0.0071	715419	0.0072	45379620	0.0071
1111000	13956761	0.1396	13948094	0.1395	13957817	0.1396	13949047	0.1395	886163135	0.1396
1111001	3396430	0.0340	3390314	0.0339	3393695	0.0339	3392483	0.0339	215553195	0.0339
1111010	3396742	0.0340	3395096	0.0340	3387533	0.0339	3391735	0.0339	215553195	0.0339
1111011	714651	0.0071	714552	0.0071	715048	0.0072	715644	0.0072	45379620	0.0071
1111100	3393815	0.0339	3390068	0.0339	3394276	0.0339	3393426	0.0339	215553195	0.0339
1111101	715078	0.0072	714328	0.0071	713701	0.0071	714263	0.0071	45379620	0.0071
1111110	716593	0.0072	713595	0.0071	713682	0.0071	715183	0.0072	45379620	0.0071
1111111	128587	0.0013	128419	0.0013	128264	0.0013	127936	0.0013	8145060	0.0013
128	10000000000	31.7500	10000000000	31.7498	10000000000	31.7503	10000000000	31.7499	635013559600	31.7500