Stats 8H02 Main

Random Solved Deals

by Richard Pavlicek

General stats for 10,485,760 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	1103788	10.5265	1106765	10.5549	1104749	10.5357	1104251	10.5310	66905856160	10.5361
1	2258562	21.5393	2258040	21.5343	2259343	21.5468	2260057	21.5536	136852887600	21.5512
2	1628132	15.5271	1626194	15.5086	1626089	15.5076	1626611	15.5126	98534079072	15.5168
3	1424099	13.5813	1422524	13.5662	1422538	13.5664	1424893	13.5888	86189672140	13.5729
4	1948003	18.5776	1947342	18.5713	1947749	18.5752	1947627	18.5740	117942306768	18.5732
5	362785	3.4598	361813	3.4505	362060	3.4529	360632	3.4393	21896462016	3.4482
6	1008926	9.6219	1011535	9.6467	1009406	9.6264	1009386	9.6263	61166193660	9.6323
7	429713	4.0981	429859	4.0995	430626	4.1068	429672	4.0977	26049899304	4.1023
8	143128	1.3650	142901	1.3628	143281	1.3664	143261	1.3662	8651399328	1.3624
9	138929	1.3249	138838	1.3241	139622	1.3315	139694	1.3322	8399095848	1.3227
10	11244	0.1072	11365	0.1084	11512	0.1098	11209	0.1069	689049504	0.1085
11	25322	0.2415	25502	0.2432	25614	0.2443	25402	0.2423	1548621360	0.2439
12	1937	0.0185	1853	0.0177	1934	0.0184	1916	0.0183	116001600	0.0183
13	1053	0.0100	1085	0.0103	1094	0.0104	1012	0.0097	63860368	0.0101
14	137	0.0013	139	0.0013	140	0.0013	130	0.0012	7941648	0.0013
16	2	0.0000	5	0.0000	3	0.0000	7	0.0001	231192	0.0000
18	0	0	0	0	0	0	0	0	2028	0.0000
20	0	0	0	0	0	0	0	0	4	0.0000
18	10485760	2.9831	10485760	2.9831	10485760	2.9841	10485760	2.9830	635013559600	2.9829

Stats 8H02 Main

Top Random Solved Deals

Generic shape

39 generic hand patterns in order of theoretical frequency

Shape	North		South		West		East		Theoretical
4432	2258562	21.5393	2258040	21.5343	2259343	21.5468	2260057	21.5536	136852887600	21.5512
5332	1628132	15.5271	1626194	15.5086	1626089	15.5076	1626611	15.5126	98534079072	15.5168
5431	1356410	12.9357	1356284	12.9345	1356240	12.9341	1355648	12.9285	82111732560	12.9307
5422	1110442	10.5900	1108684	10.5732	1108476	10.5713	1111814	10.6031	67182326640	10.5797
4333	1103788	10.5265	1106765	10.5549	1104749	10.5357	1104251	10.5310	66905856160	10.5361
6322	591593	5.6419	591058	5.6368	591509	5.6411	591979	5.6456	35830574208	5.6425
6421	492315	4.6951	492658	4.6984	492465	4.6965	492151	4.6935	29858811840	4.7021
6331	362785	3.4598	361813	3.4505	362060	3.4529	360632	3.4393	21896462016	3.4482
5521	332861	3.1744	333835	3.1837	332737	3.1732	332932	3.1751	20154697992	3.1739
4441	313657	2.9913	313840	2.9930	314062	2.9951	313079	2.9858	19007345500	2.9932
7321	196988	1.8786	196959	1.8783	197519	1.8837	197244	1.8811	11943524736	1.8808
6430	138972	1.3253	139520	1.3306	139214	1.3276	138877	1.3244	8421716160	1.3262
5440	130235	1.2420	130779	1.2472	130410	1.2437	130261	1.2423	7895358900	1.2433
5530	93753	0.8941	93380	0.8905	93893	0.8954	93551	0.8922	5684658408	0.8952
6511	74236	0.7080	74117	0.7068	73928	0.7050	74188	0.7075	4478821776	0.7053
6520	68335	0.6517	68212	0.6505	68740	0.6556	68883	0.6569	4134297024	0.6511
7222	53515	0.5104	54263	0.5175	53794	0.5130	54042	0.5154	3257324928	0.5130
7411	41127	0.3922	41171	0.3926	41333	0.3942	41300	0.3939	2488234320	0.3918
7420	37996	0.3624	38171	0.3640	38064	0.3630	38209	0.3644	2296831680	0.3617
7330	27765	0.2648	27613	0.2633	28020	0.2672	27773	0.2649	1684343232	0.2652
8221	20209	0.1927	20307	0.1937	20380	0.1944	20215	0.1928	1221496848	0.1924
8311	12389	0.1182	12148	0.1159	12438	0.1186	12387	0.1181	746470296	0.1176
7510	11258	0.1074	11330	0.1081	11355	0.1083	11183	0.1066	689049504	0.1085
8320	11244	0.1072	11365	0.1084	11512	0.1098	11209	0.1069	689049504	0.1085
6610	7519	0.0717	7535	0.0719	7519	0.0717	7469	0.0712	459366336	0.0723
8410	4599	0.0439	4815	0.0459	4808	0.0459	4875	0.0465	287103960	0.0452
9211	1946	0.0186	1822	0.0174	1932	0.0184	1875	0.0179	113101560	0.0178
9310	1037	0.0099	1029	0.0098	1100	0.0105	1059	0.0101	63800880	0.0100
9220	900	0.0086	824	0.0079	834	0.0080	857	0.0082	52200720	0.0082
7600	584	0.0056	603	0.0058	572	0.0055	570	0.0054	35335872	0.0056
8500	340	0.0032	336	0.0032	361	0.0034	299	0.0029	19876428	0.0031
A210	119	0.0011	111	0.0011	117	0.0011	115	0.0011	6960096	0.0011
9400	88	0.0008	102	0.0010	113	0.0011	98	0.0009	6134700	0.0010
A111	41	0.0004	44	0.0004	48	0.0005	45	0.0004	2513368	0.0004
A300	18	0.0002	28	0.0003	23	0.0002	15	0.0001	981552	0.0002
B110	2	0.0000	5	0.0000	3	0.0000	4	0.0000	158184	0.0000
B200	0	0	0	0	0	0	3	0.0000	73008	0.0000
C100	0	0	0	0	0	0	0	0	2028	0.0000
D000	0	0	0	0	0	0	0	0	4	0.0000
39	10485760	3.6947	10485760	3.6972	10485760	3.6985	10485760	3.6952	635013559600	3.6954

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

Stats 8H02 Main

Top Random Solved Deals

Controls

Ace = 2 King = 1

Controls	North		South		West		East		Theoretical
0	856754	8.1706	856706	8.1702	857719	8.1798	857590	8.1786	51915526432	8.1755
1	1392766	13.2825	1393604	13.2904	1393987	13.2941	1393860	13.2929	84362730452	13.2852
2	2152590	20.5287	2152935	20.5320	2152360	20.5265	2154171	20.5438	130378765244	20.5317
3	2189565	20.8813	2190897	20.8940	2189407	20.8798	2187463	20.8613	132634453224	20.8869
4	1756618	16.7524	1755215	16.7390	1754419	16.7314	1753583	16.7235	106275127972	16.7359
5	1169960	11.1576	1169953	11.1575	1170323	11.1611	1171879	11.1759	70893050800	11.1640
6	597494	5.6981	596788	5.6914	596828	5.6918	597608	5.6992	36155455908	5.6937
7	257659	2.4572	257336	2.4541	258193	2.4623	257162	2.4525	15596471176	2.4561
8	85720	0.8175	85853	0.8188	85989	0.8201	85983	0.8200	5192436964	0.8177
9	21860	0.2085	21754	0.2075	21913	0.2090	21727	0.2072	1322059596	0.2082
10	4303	0.0410	4229	0.0403	4168	0.0397	4232	0.0404	258159616	0.0407
11	453	0.0043	473	0.0045	434	0.0041	488	0.0047	28236208	0.0044
12	18	0.0002	17	0.0002	20	0.0002	14	0.0001	1086008	0.0002
13	10485760	3.0005	10485760	2.9998	10485760	2.9999	10485760	2.9998	635013559600	3.0000

Stats 8H02 Main

Top Random Solved Deals

High-card points

Ace = 4 King = 3 Queen = 2 Jack = 1

HCP	North		South		West		East		Theoretical
0	37605	0.3586	38376	0.3660	38182	0.3641	38570	0.3678	2310789600	0.3639
1	82706	0.7887	82735	0.7890	82946	0.7910	82456	0.7864	5006710800	0.7884
2	142734	1.3612	142123	1.3554	142009	1.3543	142453	1.3585	8611542576	1.3561
3	258328	2.4636	258455	2.4648	258324	2.4636	258087	2.4613	15636342960	2.4624
4	402481	3.8384	403476	3.8478	402833	3.8417	403572	3.8488	24419055136	3.8454
5	542666	5.1753	544801	5.1956	545076	5.1982	544340	5.1912	32933031040	5.1862
6	686285	6.5449	686369	6.5457	688484	6.5659	686778	6.5496	41619399184	6.5541
7	842502	8.0347	843358	8.0429	840936	8.0198	842741	8.0370	50979441968	8.0281
8	932930	8.8971	931369	8.8822	932061	8.8888	933471	8.9023	56466608128	8.8922
9	981535	9.3606	979077	9.3372	980677	9.3525	979811	9.3442	59413313872	9.3562
10	985863	9.4019	986975	9.4125	985305	9.3966	984595	9.3898	59723754816	9.4051
11	938398	8.9493	938437	8.9496	937307	8.9389	937353	8.9393	56799933520	8.9447
12	841330	8.0235	841934	8.0293	841266	8.0229	841403	8.0242	50971682080	8.0269
13	724203	6.9065	725171	6.9158	725128	6.9154	726508	6.9285	43906944752	6.9143
14	596818	5.6917	597396	5.6972	597507	5.6983	596982	5.6933	36153374224	5.6933
15	463878	4.4239	462244	4.4083	464179	4.4268	463383	4.4192	28090962724	4.4237
16	348043	3.3192	347151	3.3107	347379	3.3129	346578	3.3052	21024781756	3.3109
17	248525	2.3701	247395	2.3593	247150	2.3570	248130	2.3664	14997082848	2.3617
18	168767	1.6095	168497	1.6069	168421	1.6062	168544	1.6074	10192504020	1.6051
19	108910	1.0386	109134	1.0408	108647	1.0361	108401	1.0338	6579838440	1.0362
20	67116	0.6401	67499	0.6437	67635	0.6450	68010	0.6486	4086538404	0.6435
21	39688	0.3785	39450	0.3762	39804	0.3796	39365	0.3754	2399507844	0.3779
22	21992	0.2097	21895	0.2088	22094	0.2107	21732	0.2073	1333800036	0.2100
23	11797	0.1125	11862	0.1131	11741	0.1120	11789	0.1124	710603628	0.1119
24	5830	0.0556	5831	0.0556	5933	0.0566	5888	0.0562	354993864	0.0559
25	2719	0.0259	2735	0.0261	2774	0.0265	2810	0.0268	167819892	0.0264
26	1295	0.0124	1205	0.0115	1202	0.0115	1198	0.0114	74095248	0.0117
27	520	0.0050	517	0.0049	454	0.0043	528	0.0050	31157940	0.0049
28	193	0.0018	171	0.0016	206	0.0020	179	0.0017	11790760	0.0019
29	67	0.0006	81	0.0008	75	0.0007	75	0.0007	4236588	0.0007
30	26	0.0002	31	0.0003	19	0.0002	20	0.0002	1396068	0.0002
31	7	0.0001	10	0.0001	4	0.0000	6	0.0001	388196	0.0001
32	2	0.0000	0	0	2	0.0000	3	0.0000	109156	0.0000
33	1	0.0000	0	0	0	0	1	0.0000	22360	0.0000
34	0	0	0	0	0	0	0	0	4484	0.0000
35	0	0	0	0	0	0	0	0	624	0.0000
36	0	0	0	0	0	0	0	0	60	0.0000
37	0	0	0	0	0	0	0	0	4	0.0000
38	10485760	10.0021	10485760	9.9989	10485760	9.9998	10485760	9.9991	635013559600	10.0000

Stats 8H02 Main

Top Random Solved Deals

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	4749	0.0453	4833	0.0461	4949	0.0472	4870	0.0464	293805568	0.0463
1	28911	0.2757	29576	0.2821	28999	0.2766	29290	0.2793	1766279872	0.2781
2	73519	0.7011	73671	0.7026	73934	0.7051	73504	0.7010	4460756944	0.7025
3	136297	1.2998	135924	1.2963	136116	1.2981	136020	1.2972	8243807120	1.2982
4	230352	2.1968	230713	2.2003	229849	2.1920	230177	2.1951	13933491492	2.1942
5	358334	3.4173	359606	3.4295	360647	3.4394	359948	3.4327	21764214176	3.4274
6	501133	4.7792	502515	4.7924	501822	4.7857	503150	4.7984	30423163944	4.7909
7	642844	6.1306	642841	6.1306	644114	6.1427	643212	6.1341	38944701748	6.1329
8	778653	7.4258	778124	7.4208	777624	7.4160	778662	7.4259	47115157372	7.4196
9	886130	8.4508	884624	8.4364	885676	8.4465	885942	8.4490	53631235236	8.4457
10	946225	9.0239	946036	9.0221	944461	9.0071	945625	9.0182	57295091856	9.0227
11	960244	9.1576	960736	9.1623	960241	9.1576	958517	9.1411	58143902808	9.1563
12	928493	8.8548	930289	8.8719	927484	8.8452	927110	8.8416	56245617636	8.8574
13	854502	8.1492	855400	8.1577	855158	8.1554	855523	8.1589	51805296432	8.1581
14	752556	7.1769	750445	7.1568	752438	7.1758	752372	7.1752	45528936116	7.1698
15	631900	6.0263	631543	6.0229	633283	6.0395	632524	6.0322	38297308552	6.0309
16	509232	4.8564	508334	4.8479	509275	4.8568	509038	4.8546	30847863460	4.8578
17	394676	3.7639	394112	3.7585	392429	3.7425	393611	3.7538	23818563824	3.7509
18	291956	2.7843	291016	2.7753	291349	2.7785	291800	2.7828	17638216924	2.7776
19	206338	1.9678	206830	1.9725	206781	1.9720	206900	1.9732	12512959412	1.9705
20	141691	1.3513	141783	1.3521	141535	1.3498	140675	1.3416	8546506844	1.3459
21	92380	0.8810	92391	0.8811	92665	0.8837	92288	0.8801	5599172640	0.8817
22	57852	0.5517	57686	0.5501	58302	0.5560	58080	0.5539	3509161412	0.5526
23	34687	0.3308	35004	0.3338	34518	0.3292	34958	0.3334	2112451680	0.3327
24	20226	0.1929	20085	0.1915	20225	0.1929	20238	0.1930	1215549644	0.1914
25	11031	0.1052	10914	0.1041	11026	0.1052	10872	0.1037	665258884	0.1048
26	5733	0.0547	5701	0.0544	5732	0.0547	5806	0.0554	346309380	0.0545
27	2853	0.0272	2785	0.0266	2874	0.0274	2829	0.0270	171594884	0.0270
28	1326	0.0126	1323	0.0126	1331	0.0127	1298	0.0124	79694360	0.0126
29	571	0.0054	554	0.0053	564	0.0054	578	0.0055	35006360	0.0055
30	225	0.0021	228	0.0022	234	0.0022	210	0.0020	14392632	0.0023
31	97	0.0009	90	0.0009	87	0.0008	93	0.0009	5429168	0.0009
32	25	0.0002	37	0.0004	24	0.0002	28	0.0003	1895604	0.0003
33	15	0.0001	11	0.0001	11	0.0001	7	0.0001	574548	0.0001
34	2	0.0000	0	0	3	0.0000	2	0.0000	153448	0.0000
35	1	0.0000	0	0	0	0	3	0.0000	31924	0.0000
36	1	0.0000	0	0	0	0	0	0	5172	0.0000
37	0	0	0	0	0	0	0	0	508	0.0000
38	0	0	0	0	0	0	0	0	16	0.0000
39	10485760	11.3705	10485760	11.3671	10485760	11.3683	10485760	11.3676	635013559600	11.3682

Stats 8H02 Main

Top Random Solved Deals

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	16616	0.1585	16993	0.1621	17014	0.1623	16823	0.1604	1022787584	0.1611
3	30442	0.2903	30386	0.2898	30353	0.2895	30229	0.2883	1834835968	0.2889
4	136275	1.2996	137289	1.3093	136683	1.3035	136787	1.3045	8288385280	1.3052
5	224357	2.1396	224615	2.1421	224820	2.1441	224521	2.1412	13587961408	2.1398
6	493128	4.7028	494109	4.7122	494527	4.7162	494001	4.7112	29907404912	4.7097
7	683845	6.5217	684736	6.5302	683178	6.5153	685522	6.5376	41453445520	6.5280
8	1015071	9.6805	1015140	9.6811	1015736	9.6868	1016362	9.6928	61513033480	9.6869
9	1173268	11.1892	1172549	11.1823	1171506	11.1724	1172166	11.1786	70986532496	11.1787
10	1323913	12.6258	1324001	12.6267	1324474	12.6312	1323510	12.6220	80169517920	12.6249
11	1275552	12.1646	1274278	12.1525	1275087	12.1602	1274548	12.1550	77238005980	12.1632
12	1167899	11.1380	1166770	11.1272	1166371	11.1234	1167482	11.1340	70723648784	11.1373
13	948804	9.0485	948528	9.0459	948768	9.0482	947995	9.0408	57473116632	9.0507
14	735569	7.0149	733340	6.9937	734359	7.0034	733395	6.9942	44455847496	7.0008
15	508991	4.8541	509922	4.8630	509357	4.8576	509217	4.8563	30812461108	4.8523
16	338565	3.2288	338409	3.2273	338406	3.2273	338457	3.2278	20488020544	3.2264
17	199287	1.9005	200078	1.9081	200306	1.9103	200091	1.9082	12080979332	1.9025
18	113260	1.0801	114197	1.0891	113734	1.0847	113773	1.0850	6865130592	1.0811
19	56482	0.5387	56347	0.5374	56865	0.5423	56146	0.5354	3412850548	0.5374
20	26884	0.2564	26696	0.2546	26796	0.2555	27317	0.2605	1635279380	0.2575
21	11079	0.1057	11057	0.1054	10962	0.1045	11117	0.1060	673249156	0.1060
22	4496	0.0429	4308	0.0411	4455	0.0425	4364	0.0416	269155616	0.0424
23	1416	0.0135	1470	0.0140	1434	0.0137	1380	0.0132	86893416	0.0137
24	443	0.0042	421	0.0040	456	0.0043	440	0.0042	27926304	0.0044
25	89	0.0008	101	0.0010	89	0.0008	93	0.0009	5652256	0.0009
26	29	0.0003	20	0.0002	24	0.0002	24	0.0002	1437888	0.0002
25	10485760	10.7385	10485760	10.7368	10485760	10.7379	10485760	10.7369	635013559600	10.7371

Stats 8H02 Main

Top Random Solved 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	897832	8.5624	897424	8.5585	899119	8.5747	898448	8.5683	54389790360	8.5651
1	1016033	9.6896	1018977	9.7177	1017510	9.7037	1016669	9.6957	61602628572	9.7010
2	1876631	17.8969	1874874	17.8802	1878017	17.9102	1878687	17.9166	113660108928	17.8988
3	1592319	15.1855	1593359	15.1955	1591577	15.1785	1592273	15.1851	96416902372	15.1834
4	1834538	17.4955	1833171	17.4825	1831333	17.4650	1831807	17.4695	111050090784	17.4878
5	1205339	11.4950	1206064	11.5019	1205389	11.4955	1204360	11.4857	72935403696	11.4856
6	987324	9.4159	987697	9.4194	988190	9.4241	988933	9.4312	59887556392	9.4309
7	514571	4.9073	513606	4.8981	513804	4.9000	514880	4.9103	31112636760	4.8995
8	332136	3.1675	331366	3.1602	330635	3.1532	330187	3.1489	20067427740	3.1602
9	131387	1.2530	131734	1.2563	132549	1.2641	131945	1.2583	7980162216	1.2567
10	66996	0.6389	66802	0.6371	67032	0.6393	67081	0.6397	4055992444	0.6387
11	19980	0.1905	20234	0.1930	20106	0.1917	19856	0.1894	1214000280	0.1912
12	8312	0.0793	8197	0.0782	8238	0.0786	8288	0.0790	502896536	0.0792
13	1733	0.0165	1608	0.0153	1654	0.0158	1701	0.0162	99889520	0.0157
14	547	0.0052	565	0.0054	522	0.0050	560	0.0053	33145000	0.0052
15	64	0.0006	65	0.0006	65	0.0006	72	0.0007	3843840	0.0006
16	18	0.0002	17	0.0002	20	0.0002	13	0.0001	1084160	0.0002
17	10485760	3.5570	10485760	3.5561	10485760	3.5558	10485760	3.5559	635013559600	3.5563

Stats 8H02 Main

Top Random Solved 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	31	0.0003	21	0.0002	26	0.0002	28	0.0003	1611768	0.0003
1	623	0.0059	639	0.0061	675	0.0064	614	0.0059	39329036	0.0062
2	7652	0.0730	7402	0.0706	7465	0.0712	7412	0.0707	454375244	0.0716
3	51539	0.4915	51453	0.4907	51748	0.4935	51733	0.4934	3126502788	0.4924
4	232440	2.2167	232698	2.2192	232926	2.2214	232032	2.2128	14069567832	2.2156
5	718734	6.8544	719611	6.8627	720075	6.8672	720421	6.8705	43541225304	6.8567
6	1568876	14.9620	1566411	14.9385	1566503	14.9393	1564815	14.9232	94901190408	14.9448
7	2407481	22.9595	2406619	22.9513	2407280	22.9576	2407893	22.9635	145807470468	22.9613
8	2568729	24.4973	2568940	24.4993	2567394	24.4846	2567034	24.4811	155515164912	24.4901
9	1843847	17.5843	1843987	17.5856	1844475	17.5903	1846682	17.6113	111719209440	17.5932
10	843601	8.0452	844038	8.0494	844069	8.0497	844230	8.0512	51111464400	8.0489
11	218443	2.0832	219785	2.0960	219048	2.0890	219015	2.0887	13274928000	2.0905
12	23764	0.2266	24156	0.2304	24076	0.2296	23851	0.2275	1451520000	0.2286
13	10485760	7.5558	10485760	7.5568	10485760	7.5561	10485760	7.5568	635013559600	7.5566

Stats 8H02 Main

Top Random Solved Deals

Longest suit

Number of cards in longest suit

Length	North		South		West		East		Theoretical
4	3676007	35.0571	3678645	35.0823	3678154	35.0776	3677387	35.0703	222766089260	35.0805
5	4651833	44.3633	4649156	44.3378	4647844	44.3253	4650816	44.3536	281562853572	44.3397
6	1735755	16.5535	1734911	16.5454	1735435	16.5504	1734179	16.5384	105080049360	16.5477
7	369232	3.5213	370110	3.5296	370657	3.5349	370321	3.5317	22394644272	3.5266
8	48780	0.4652	48971	0.4670	49498	0.4720	48984	0.4671	2963997036	0.4668
9	3971	0.0379	3777	0.0360	3979	0.0379	3889	0.0371	235237860	0.0370
10	178	0.0017	183	0.0017	188	0.0018	175	0.0017	10455016	0.0016
11	2	0.0000	5	0.0000	3	0.0000	7	0.0001	231192	0.0000
12	0	0	0	0	0	0	0	0	2028	0.0000
13	0	0	0	0	0	0	0	0	4	0.0000
10	10485758	4.9009	10485758	4.9008	10485758	4.9012	10485758	4.9009	635013559600	4.9008

Stats 8H02 Main

Top Random Solved Deals

Shortest suit

Number of cards in shortest suit

Length	North		South		West		East		Theoretical
0	534764	5.0999	535758	5.1094	536658	5.1180	535310	5.1051	32427298180	5.1066
1	3204964	30.5649	3204998	30.5652	3205142	30.5666	3201696	30.5338	194023212812	30.5542
2	5642244	53.8086	5638239	53.7704	5639211	53.7797	5644503	53.8302	341657192448	53.8031
3	1103788	10.5265	1106765	10.5549	1104749	10.5357	1104251	10.5310	66905856160	10.5361
4	10485760	1.6976	10485760	1.6977	10485760	1.6973	10485760	1.6979	635013559600	1.6977

Stats 8H02 Main

Top Random Solved 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	0	0	0	0	4	0.0000
42	0	0	0	0	0	0	0	0	28	0.0000
43	0	0	0	0	0	0	0	0	116	0.0000
44	0	0	0	0	0	0	0	0	392	0.0000
45	0	0	0	0	1	0.0000	1	0.0000	1132	0.0000
46	0	0	0	0	0	0	0	0	2928	0.0000
47	0	0	0	0	0	0	0	0	6916	0.0000
48	0	0	0	0	0	0	1	0.0000	15308	0.0000
49	0	0	1	0.0000	2	0.0000	1	0.0000	31884	0.0000
50	3	0.0000	2	0.0000	1	0.0000	1	0.0000	63344	0.0000
51	0	0	1	0.0000	0	0	3	0.0000	120504	0.0000
52	1	0.0000	9	0.0001	4	0.0000	2	0.0000	221128	0.0000
53	6	0.0001	6	0.0001	5	0.0000	10	0.0001	392460	0.0001
54	7	0.0001	10	0.0001	16	0.0002	20	0.0002	676704	0.0001
55	19	0.0002	22	0.0002	20	0.0002	21	0.0002	1135720	0.0002
56	29	0.0003	21	0.0002	26	0.0002	42	0.0004	1860884	0.0003
57	52	0.0005	49	0.0005	52	0.0005	56	0.0005	2980992	0.0005
58	85	0.0008	75	0.0007	88	0.0008	49	0.0005	4678132	0.0007
59	115	0.0011	120	0.0011	146	0.0014	113	0.0011	7200352	0.0011
60	191	0.0018	178	0.0017	180	0.0017	190	0.0018	10885276	0.0017
61	270	0.0026	275	0.0026	246	0.0023	281	0.0027	16177656	0.0025
62	386	0.0037	390	0.0037	424	0.0040	400	0.0038	23662872	0.0037
63	565	0.0054	589	0.0056	553	0.0053	535	0.0051	34088292	0.0054
64	776	0.0074	835	0.0080	830	0.0079	797	0.0076	48406056	0.0076
65	1110	0.0106	1116	0.0106	1126	0.0107	1138	0.0109	67796512	0.0107
66	1534	0.0146	1633	0.0156	1587	0.0151	1601	0.0153	93717520	0.0148
67	2104	0.0201	2055	0.0196	2211	0.0211	2218	0.0212	127923728	0.0201
68	2818	0.0269	2918	0.0278	2889	0.0276	2820	0.0269	172518652	0.0272
69	3789	0.0361	3827	0.0365	3884	0.0370	3749	0.0358	229959256	0.0362
70	5050	0.0482	5038	0.0480	4912	0.0468	5060	0.0483	303102568	0.0477
71	6509	0.0621	6739	0.0643	6537	0.0623	6617	0.0631	395185876	0.0622
72	8388	0.0800	8542	0.0815	8371	0.0798	8540	0.0814	509855124	0.0803
73	10773	0.1027	10544	0.1006	10735	0.1024	10640	0.1015	651106144	0.1025
74	13846	0.1320	13578	0.1295	13566	0.1294	13544	0.1292	823287808	0.1296
75	16956	0.1617	16950	0.1616	17036	0.1625	17033	0.1624	1030988200	0.1624
76	21246	0.2026	21256	0.2027	21345	0.2036	21136	0.2016	1279004300	0.2014
77	25626	0.2444	25969	0.2477	25807	0.2461	26285	0.2507	1572168200	0.2476
78	31589	0.3013	31791	0.3032	31707	0.3024	31760	0.3029	1915276928	0.3016
79	38282	0.3651	37977	0.3622	38128	0.3636	38259	0.3649	2312858508	0.3642
80	45416	0.4331	45774	0.4365	45839	0.4372	45595	0.4348	2769074104	0.4361
81	54227	0.5171	53901	0.5140	54585	0.5206	54211	0.5170	3287427876	0.5177
82	63843	0.6089	64076	0.6111	64280	0.6130	64142	0.6117	3870662368	0.6095
83	74641	0.7118	74966	0.7149	74517	0.7106	74868	0.7140	4520438996	0.7119
84	86240	0.8224	86714	0.8270	86522	0.8251	86903	0.8288	5237248656	0.8247
85	99806	0.9518	99692	0.9507	99091	0.9450	99443	0.9484	6020098480	0.9480
86	113051	1.0781	113399	1.0815	113805	1.0853	112662	1.0744	6866482488	1.0813
87	127761	1.2184	128084	1.2215	128025	1.2209	128213	1.2227	7772102604	1.2239
88	144251	1.3757	144644	1.3794	144130	1.3745	144419	1.3773	8730942544	1.3749
89	161281	1.5381	161311	1.5384	161286	1.5381	161203	1.5374	9735066676	1.5330
90	177652	1.6942	177623	1.6939	177847	1.6961	178517	1.7025	10774819856	1.6968
91	195639	1.8658	195141	1.8610	195555	1.8650	194924	1.8589	11838737216	1.8643
92	212353	2.0252	212867	2.0301	212748	2.0289	213845	2.0394	12913893708	2.0336
93	231770	2.2103	231011	2.2031	231389	2.2067	230885	2.2019	13985920668	2.2025
94	248181	2.3668	248506	2.3699	247906	2.3642	247615	2.3614	15039510420	2.3684
95	266154	2.5382	265471	2.5317	265393	2.5310	265052	2.5277	16058532536	2.5288
96	281275	2.6824	280850	2.6784	281724	2.6867	280703	2.6770	17026650064	2.6813
97	296274	2.8255	295891	2.8218	296252	2.8253	295645	2.8195	17927508472	2.8232
98	308806	2.9450	308554	2.9426	309706	2.9536	310285	2.9591	18745417740	2.9520
99	320267	3.0543	321681	3.0678	321495	3.0660	320683	3.0583	19465543056	3.0654
100	332062	3.1668	332165	3.1678	330974	3.1564	332314	3.1692	20074598356	3.1613
101	340125	3.2437	339190	3.2348	339143	3.2343	339292	3.2357	20560978696	3.2379
102	345685	3.2967	345033	3.2905	343980	3.2804	345914	3.2989	20915379072	3.2937
103	348611	3.3246	348908	3.3274	349438	3.3325	349553	3.3336	21130820080	3.3276
104	349407	3.3322	350192	3.3397	349740	3.3354	349592	3.3340	21203133328	3.3390
105	348677	3.3252	348758	3.3260	348574	3.3243	349074	3.3290	21130820080	3.3276
106	344145	3.2820	345808	3.2979	345555	3.2955	345009	3.2903	20915379072	3.2937
107	339856	3.2411	339385	3.2366	338801	3.2311	339605	3.2387	20560978696	3.2379
108	331328	3.1598	331923	3.1655	332361	3.1696	331868	3.1649	20074598356	3.1613
109	319474	3.0467	321129	3.0625	321721	3.0682	320347	3.0551	19465543056	3.0654
110	308546	2.9425	309141	2.9482	310257	2.9588	309131	2.9481	18745417740	2.9520
111	296306	2.8258	296062	2.8235	295849	2.8214	295890	2.8218	17927508472	2.8232
112	282283	2.6921	280971	2.6795	281149	2.6812	280743	2.6774	17026650064	2.6813
113	265185	2.5290	265177	2.5289	265042	2.5276	264833	2.5256	16058532536	2.5288
114	248344	2.3684	248073	2.3658	248565	2.3705	248238	2.3674	15039510420	2.3684
115	231331	2.2061	231460	2.2074	231097	2.2039	230820	2.2013	13985920668	2.2025
116	213012	2.0314	213110	2.0324	212897	2.0303	212082	2.0226	12913893708	2.0336
117	195883	1.8681	196028	1.8695	195211	1.8617	195225	1.8618	11838737216	1.8643
118	178148	1.6990	178028	1.6978	177349	1.6913	178566	1.7029	10774819856	1.6968
119	160763	1.5332	160670	1.5323	160890	1.5344	160897	1.5344	9735066676	1.5330
120	144346	1.3766	143846	1.3718	143944	1.3728	144167	1.3749	8730942544	1.3749
121	128918	1.2295	127938	1.2201	128651	1.2269	128676	1.2271	7772102604	1.2239
122	113693	1.0843	113143	1.0790	113054	1.0782	113939	1.0866	6866482488	1.0813
123	99734	0.9511	99347	0.9474	99018	0.9443	99979	0.9535	6020098480	0.9480
124	86613	0.8260	86752	0.8273	86583	0.8257	87181	0.8314	5237248656	0.8247
125	74929	0.7146	75008	0.7153	74903	0.7143	74564	0.7111	4520438996	0.7119
126	64128	0.6116	63714	0.6076	63976	0.6101	63313	0.6038	3870662368	0.6095
127	54309	0.5179	54435	0.5191	54328	0.5181	54208	0.5170	3287427876	0.5177
128	45774	0.4365	46064	0.4393	45852	0.4373	45772	0.4365	2769074104	0.4361
129	38424	0.3664	37857	0.3610	38236	0.3646	38121	0.3636	2312858508	0.3642
130	31734	0.3026	31736	0.3027	31610	0.3015	31746	0.3028	1915276928	0.3016
131	26145	0.2493	25879	0.2468	25997	0.2479	25919	0.2472	1572168200	0.2476
132	21365	0.2038	21129	0.2015	21329	0.2034	21142	0.2016	1279004300	0.2014
133	17134	0.1634	16755	0.1598	17032	0.1624	17001	0.1621	1030988200	0.1624
134	13792	0.1315	13686	0.1305	13549	0.1292	13650	0.1302	823287808	0.1296
135	10885	0.1038	10708	0.1021	10797	0.1030	10616	0.1012	651106144	0.1025
136	8395	0.0801	8501	0.0811	8350	0.0796	8491	0.0810	509855124	0.0803
137	6436	0.0614	6456	0.0616	6537	0.0623	6630	0.0632	395185876	0.0622
138	4892	0.0467	4985	0.0475	4964	0.0473	4944	0.0471	303102568	0.0477
139	3753	0.0358	3782	0.0361	3825	0.0365	3794	0.0362	229959256	0.0362
140	2892	0.0276	2811	0.0268	2910	0.0278	2842	0.0271	172518652	0.0272
141	2108	0.0201	2139	0.0204	2038	0.0194	2203	0.0210	127923728	0.0201
142	1554	0.0148	1556	0.0148	1558	0.0149	1562	0.0149	93717520	0.0148
143	1036	0.0099	1135	0.0108	1123	0.0107	1058	0.0101	67796512	0.0107
144	834	0.0080	795	0.0076	801	0.0076	806	0.0077	48406056	0.0076
145	538	0.0051	555	0.0053	557	0.0053	570	0.0054	34088292	0.0054
146	410	0.0039	400	0.0038	375	0.0036	409	0.0039	23662872	0.0037
147	305	0.0029	269	0.0026	242	0.0023	271	0.0026	16177656	0.0025
148	163	0.0016	158	0.0015	196	0.0019	179	0.0017	10885276	0.0017
149	119	0.0011	129	0.0012	113	0.0011	94	0.0009	7200352	0.0011
150	93	0.0009	69	0.0007	62	0.0006	68	0.0006	4678132	0.0007
151	56	0.0005	54	0.0005	50	0.0005	53	0.0005	2980992	0.0005
152	29	0.0003	25	0.0002	31	0.0003	22	0.0002	1860884	0.0003
153	19	0.0002	26	0.0002	15	0.0001	20	0.0002	1135720	0.0002
154	10	0.0001	18	0.0002	19	0.0002	9	0.0001	676704	0.0001
155	3	0.0000	10	0.0001	5	0.0000	4	0.0000	392460	0.0001
156	5	0.0000	3	0.0000	3	0.0000	3	0.0000	221128	0.0000
157	1	0.0000	2	0.0000	0	0	3	0.0000	120504	0.0000
158	0	0	1	0.0000	1	0.0000	2	0.0000	63344	0.0000
159	1	0.0000	0	0	2	0.0000	0	0	31884	0.0000
160	0	0	1	0.0000	1	0.0000	0	0	15308	0.0000
161	1	0.0000	0	0	0	0	0	0	6916	0.0000
162	0	0	0	0	0	0	0	0	2928	0.0000
163	0	0	0	0	0	0	0	0	1132	0.0000
164	0	0	0	0	0	0	0	0	392	0.0000
165	0	0	0	0	0	0	0	0	116	0.0000
166	0	0	0	0	0	0	0	0	28	0.0000
167	0	0	0	0	0	0	0	0	4	0.0000
127	10485760	104.0079	10485760	103.9973	10485760	103.9973	10485760	103.9975	635013559600	104.0000

Stats 8H02 Main

Top Random Solved Deals

Spades

Number of spades in hand

Spades	North		South		West		East		Theoretical
0	133819	1.2762	133672	1.2748	134132	1.2792	134815	1.2857	8122425444	1.2791
1	839371	8.0049	838607	7.9976	841245	8.0227	839720	8.0082	50840366668	8.0062
2	2158180	20.5820	2159931	20.5987	2156919	20.5700	2161730	20.6159	130732371432	20.5873
3	3002082	28.6301	3001825	28.6276	3000002	28.6102	3000195	28.6121	181823183256	28.6330
4	2502199	23.8628	2502915	23.8697	2504104	23.8810	2502361	23.8644	151519319380	23.8608
5	1308557	12.4794	1306489	12.4597	1307162	12.4661	1306833	12.4629	79181063676	12.4692
6	435873	4.1568	436160	4.1595	436038	4.1584	434115	4.1400	26393687892	4.1564
7	92349	0.8807	92778	0.8848	92828	0.8853	92765	0.8847	5598661068	0.8817
8	12291	0.1172	12384	0.1181	12297	0.1173	12205	0.1164	740999259	0.1167
9	990	0.0094	957	0.0091	980	0.0093	983	0.0094	58809465	0.0093
10	49	0.0005	42	0.0004	52	0.0005	37	0.0004	2613754	0.0004
11	0	0	0	0	1	0.0000	1	0.0000	57798	0.0000
12	0	0	0	0	0	0	0	0	507	0.0000
13	0	0	0	0	0	0	0	0	1	0.0000
14	10485760	3.2504	10485760	3.2504	10485760	3.2502	10485760	3.2490	635013559600	3.2500

Stats 8H02 Main

Top Random Solved Deals

Hearts

Number of hearts in hand

Hearts	North		South		West		East		Theoretical
0	134075	1.2786	134207	1.2799	134541	1.2831	133711	1.2752	8122425444	1.2791
1	839959	8.0105	840907	8.0195	839482	8.0059	838615	7.9977	50840366668	8.0062
2	2159366	20.5933	2156995	20.5707	2156982	20.5706	2159974	20.5991	130732371432	20.5873
3	3003030	28.6391	3003177	28.6405	3002303	28.6322	3002833	28.6372	181823183256	28.6330
4	2501616	23.8573	2500812	23.8496	2501896	23.8599	2502254	23.8634	151519319380	23.8608
5	1307002	12.4645	1309004	12.4836	1308207	12.4760	1305707	12.4522	79181063676	12.4692
6	435655	4.1547	434817	4.1467	436060	4.1586	436398	4.1618	26393687892	4.1564
7	91766	0.8751	92716	0.8842	92846	0.8854	92877	0.8857	5598661068	0.8817
8	12271	0.1170	12125	0.1156	12399	0.1182	12345	0.1177	740999259	0.1167
9	964	0.0092	943	0.0090	999	0.0095	990	0.0094	58809465	0.0093
10	54	0.0005	56	0.0005	45	0.0004	56	0.0005	2613754	0.0004
11	2	0.0000	1	0.0000	0	0	0	0	57798	0.0000
12	0	0	0	0	0	0	0	0	507	0.0000
13	0	0	0	0	0	0	0	0	1	0.0000
14	10485760	3.2495	10485760	3.2498	10485760	3.2505	10485760	3.2503	635013559600	3.2500

Stats 8H02 Main

Top Random Solved Deals

Diamonds

Number of diamonds in hand

Diamonds	North		South		West		East		Theoretical
0	134103	1.2789	134783	1.2854	134188	1.2797	133935	1.2773	8122425444	1.2791
1	839080	8.0021	839750	8.0085	839817	8.0091	838363	7.9953	50840366668	8.0062
2	2160180	20.6011	2158805	20.5880	2157815	20.5785	2159923	20.5986	130732371432	20.5873
3	3003815	28.6466	3001597	28.6255	3003898	28.6474	2999988	28.6101	181823183256	28.6330
4	2498803	23.8304	2503624	23.8764	2499310	23.8353	2501943	23.8604	151519319380	23.8608
5	1308206	12.4760	1306456	12.4593	1308651	12.4803	1310406	12.4970	79181063676	12.4692
6	436195	4.1599	435588	4.1541	435784	4.1560	435658	4.1548	26393687892	4.1564
7	92226	0.8795	91949	0.8769	92842	0.8854	92371	0.8809	5598661068	0.8817
8	12093	0.1153	12254	0.1169	12410	0.1184	12152	0.1159	740999259	0.1167
9	1025	0.0098	911	0.0087	1000	0.0095	983	0.0094	58809465	0.0093
10	34	0.0003	41	0.0004	44	0.0004	35	0.0003	2613754	0.0004
11	0	0	2	0.0000	1	0.0000	3	0.0000	57798	0.0000
12	0	0	0	0	0	0	0	0	507	0.0000
13	0	0	0	0	0	0	0	0	1	0.0000
14	10485760	3.2498	10485760	3.2494	10485760	3.2502	10485760	3.2506	635013559600	3.2500

Stats 8H02 Main

Top Random Solved Deals

Clubs

Number of clubs in hand

Clubs	North		South		West		East		Theoretical
0	133797	1.2760	134165	1.2795	134866	1.2862	133834	1.2763	8122425444	1.2791
1	840870	8.0192	839910	8.0100	839230	8.0035	839547	8.0065	50840366668	8.0062
2	2157605	20.5765	2156171	20.5628	2160582	20.6049	2159518	20.5948	130732371432	20.5873
3	3000767	28.6175	3004747	28.6555	3003173	28.6405	3001795	28.6273	181823183256	28.6330
4	2501684	23.8579	2499977	23.8416	2501844	23.8594	2500538	23.8470	151519319380	23.8608
5	1308851	12.4822	1308417	12.4780	1304839	12.4439	1308907	12.4827	79181063676	12.4692
6	436135	4.1593	436486	4.1627	435644	4.1546	436047	4.1585	26393687892	4.1564
7	92892	0.8859	92667	0.8837	92141	0.8787	92308	0.8803	5598661068	0.8817
8	12126	0.1156	12208	0.1164	12393	0.1182	12283	0.1171	740999259	0.1167
9	992	0.0095	966	0.0092	1000	0.0095	933	0.0089	58809465	0.0093
10	41	0.0004	44	0.0004	47	0.0004	47	0.0004	2613754	0.0004
11	0	0	2	0.0000	1	0.0000	3	0.0000	57798	0.0000
12	0	0	0	0	0	0	0	0	507	0.0000
13	0	0	0	0	0	0	0	0	1	0.0000
14	10485760	3.2504	10485760	3.2504	10485760	3.2491	10485760	3.2501	635013559600	3.2500

Stats 8H02 Main

Top Random Solved 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	3264375	31.1315	3264074	31.1286	3265174	31.1391	3267702	31.1632	197767203572	31.1438
1	1052469	10.0371	1052643	10.0388	1051344	10.0264	1052397	10.0364	63728659696	10.0358
2	1940573	18.5067	1940404	18.5051	1941676	18.5173	1939852	18.4999	117497308188	18.5031
3	731192	6.9732	730500	6.9666	729999	6.9618	732701	6.9876	44251732564	6.9686
4	1154052	11.0059	1154341	11.0087	1154727	11.0123	1152302	10.9892	69892220632	11.0064
5	582715	5.5572	584848	5.5775	583650	5.5661	583246	5.5623	35355647184	5.5677
6	630810	6.0159	630229	6.0103	629118	5.9997	629329	6.0017	38137887788	6.0058
7	368780	3.5170	368452	3.5138	368711	3.5163	368764	3.5168	22333120524	3.5170
8	302785	2.8876	301402	2.8744	303426	2.8937	302171	2.8817	18324133672	2.8856
9	176500	1.6832	176672	1.6849	176523	1.6835	175936	1.6779	10700471262	1.6851
10	132727	1.2658	132616	1.2647	131953	1.2584	132365	1.2623	8001815952	1.2601
11	62959	0.6004	63472	0.6053	63012	0.6009	63125	0.6020	3827056779	0.6027
12	49301	0.4702	49435	0.4714	49422	0.4713	49123	0.4685	2981489082	0.4695
13	14939	0.1425	15048	0.1435	15252	0.1455	15204	0.1450	911999088	0.1436
14	15057	0.1436	15047	0.1435	15247	0.1454	15055	0.1436	907310781	0.1429
15	3249	0.0310	3229	0.0308	3201	0.0305	3147	0.0300	194194611	0.0306
16	2569	0.0245	2655	0.0253	2612	0.0249	2653	0.0253	158762708	0.0250
17	219	0.0021	208	0.0020	198	0.0019	216	0.0021	12840295	0.0020
18	451	0.0043	452	0.0043	476	0.0045	445	0.0042	27645475	0.0044
19	12	0.0001	8	0.0001	6	0.0001	2	0.0000	493506	0.0001
20	26	0.0002	25	0.0002	32	0.0003	25	0.0002	1516827	0.0002
22	0	0	0	0	1	0.0000	0	0	48945	0.0000
24	0	0	0	0	0	0	0	0	468	0.0000
26	0	0	0	0	0	0	0	0	1	0.0000
24	10485760	2.6849	10485760	2.6851	10485760	2.6849	10485760	2.6828	635013559600	2.6843

Stats 8H02 Main

Top Random Solved 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	3266086	31.1478	3266815	31.1548	3263381	31.1220	3265481	31.1421	197767203572	31.1438
1	1053835	10.0502	1052229	10.0348	1052756	10.0399	1052461	10.0371	63728659696	10.0358
2	1939468	18.4962	1940030	18.5016	1940413	18.5052	1941814	18.5186	117497308188	18.5031
3	731165	6.9729	730392	6.9656	729957	6.9614	730179	6.9635	44251732564	6.9686
4	1153636	11.0019	1153934	11.0048	1153952	11.0049	1153781	11.0033	69892220632	11.0064
5	583303	5.5628	583134	5.5612	585516	5.5839	583470	5.5644	35355647184	5.5677
6	628963	5.9983	630227	6.0103	629751	6.0058	629029	5.9989	38137887788	6.0058
7	369588	3.5247	369295	3.5219	368921	3.5183	368680	3.5160	22333120524	3.5170
8	302504	2.8849	302610	2.8859	303103	2.8906	302299	2.8829	18324133672	2.8856
9	177067	1.6886	176297	1.6813	176457	1.6828	176585	1.6840	10700471262	1.6851
10	131758	1.2565	132194	1.2607	132098	1.2598	132494	1.2636	8001815952	1.2601
11	63111	0.6019	62801	0.5989	63229	0.6030	63356	0.6042	3827056779	0.6027
12	48721	0.4646	49296	0.4701	49435	0.4714	49259	0.4698	2981489082	0.4695
13	15019	0.1432	15032	0.1434	15125	0.1442	15258	0.1455	911999088	0.1436
14	14968	0.1427	14936	0.1424	14999	0.1430	14986	0.1429	907310781	0.1429
15	3169	0.0302	3243	0.0309	3252	0.0310	3260	0.0311	194194611	0.0306
16	2686	0.0256	2607	0.0249	2684	0.0256	2638	0.0252	158762708	0.0250
17	198	0.0019	191	0.0018	199	0.0019	207	0.0020	12840295	0.0020
18	469	0.0045	453	0.0043	502	0.0048	480	0.0046	27645475	0.0044
19	11	0.0001	6	0.0001	4	0.0000	14	0.0001	493506	0.0001
20	33	0.0003	37	0.0004	26	0.0002	29	0.0003	1516827	0.0002
22	2	0.0000	1	0.0000	0	0	0	0	48945	0.0000
24	0	0	0	0	0	0	0	0	468	0.0000
26	0	0	0	0	0	0	0	0	1	0.0000
24	10485760	2.6833	10485760	2.6837	10485760	2.6857	10485760	2.6843	635013559600	2.6843

Stats 8H02 Main

Top Random Solved 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	3266053	31.1475	3267607	31.1623	3265090	31.1383	3265163	31.1390	197767203572	31.1438
1	1052720	10.0395	1052119	10.0338	1051857	10.0313	1050906	10.0222	63728659696	10.0358
2	1940492	18.5060	1939312	18.4947	1941383	18.5145	1939952	18.5008	117497308188	18.5031
3	730444	6.9661	730934	6.9707	731459	6.9757	731015	6.9715	44251732564	6.9686
4	1153108	10.9969	1153286	10.9986	1153413	10.9998	1154826	11.0133	69892220632	11.0064
5	583968	5.5692	583807	5.5676	582738	5.5574	584157	5.5710	35355647184	5.5677
6	628309	5.9920	630856	6.0163	629612	6.0044	630363	6.0116	38137887788	6.0058
7	369540	3.5242	368549	3.5148	368290	3.5123	369094	3.5200	22333120524	3.5170
8	302592	2.8857	302527	2.8851	303699	2.8963	302139	2.8814	18324133672	2.8856
9	177088	1.6888	176896	1.6870	177135	1.6893	176728	1.6854	10700471262	1.6851
10	132464	1.2633	131424	1.2534	131310	1.2523	132182	1.2606	8001815952	1.2601
11	63343	0.6041	63111	0.6019	63609	0.6066	63279	0.6035	3827056779	0.6027
12	49131	0.4685	48865	0.4660	49201	0.4692	49387	0.4710	2981489082	0.4695
13	14821	0.1413	15095	0.1440	15169	0.1447	15040	0.1434	911999088	0.1436
14	15080	0.1438	14880	0.1419	15146	0.1444	14923	0.1423	907310781	0.1429
15	3207	0.0306	3177	0.0303	3240	0.0309	3232	0.0308	194194611	0.0306
16	2681	0.0256	2656	0.0253	2689	0.0256	2669	0.0255	158762708	0.0250
17	227	0.0022	200	0.0019	210	0.0020	213	0.0020	12840295	0.0020
18	472	0.0045	423	0.0040	485	0.0046	463	0.0044	27645475	0.0044
19	4	0.0000	10	0.0001	3	0.0000	11	0.0001	493506	0.0001
20	16	0.0002	24	0.0002	21	0.0002	15	0.0001	1516827	0.0002
22	0	0	2	0.0000	1	0.0000	3	0.0000	48945	0.0000
24	0	0	0	0	0	0	0	0	468	0.0000
26	0	0	0	0	0	0	0	0	1	0.0000
24	10485760	2.6843	10485760	2.6831	10485760	2.6849	10485760	2.6852	635013559600	2.6843

Stats 8H02 Main

Top Random Solved 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	3265725	31.1444	3265836	31.1454	3266598	31.1527	3266605	31.1528	197767203572	31.1438
1	1052003	10.0327	1051778	10.0305	1054770	10.0591	1051164	10.0247	63728659696	10.0358
2	1936531	18.4682	1939862	18.5000	1940432	18.5054	1940150	18.5027	117497308188	18.5031
3	730902	6.9704	730046	6.9623	731051	6.9718	730604	6.9676	44251732564	6.9686
4	1154631	11.0114	1153598	11.0016	1153264	10.9984	1153700	11.0025	69892220632	11.0064
5	584373	5.5730	584219	5.5715	582460	5.5548	583499	5.5647	35355647184	5.5677
6	629879	6.0070	630446	6.0124	628865	5.9973	629916	6.0073	38137887788	6.0058
7	369856	3.5272	369872	3.5274	369115	3.5202	368844	3.5176	22333120524	3.5170
8	303119	2.8908	301835	2.8785	302005	2.8801	303126	2.8908	18324133672	2.8856
9	177101	1.6890	176819	1.6863	176190	1.6803	177140	1.6893	10700471262	1.6851
10	132634	1.2649	132025	1.2591	132162	1.2604	132320	1.2619	8001815952	1.2601
11	63310	0.6038	63638	0.6069	62933	0.6002	62854	0.5994	3827056779	0.6027
12	49299	0.4702	49157	0.4688	49273	0.4699	49387	0.4710	2981489082	0.4695
13	15062	0.1436	15151	0.1445	14987	0.1429	15062	0.1436	911999088	0.1436
14	14842	0.1415	14933	0.1424	15025	0.1433	14911	0.1422	907310781	0.1429
15	3101	0.0296	3235	0.0309	3218	0.0307	3209	0.0306	194194611	0.0306
16	2673	0.0255	2618	0.0250	2691	0.0257	2572	0.0245	158762708	0.0250
17	216	0.0021	219	0.0021	224	0.0021	195	0.0019	12840295	0.0020
18	468	0.0045	439	0.0042	458	0.0044	463	0.0044	27645475	0.0044
19	8	0.0001	8	0.0001	7	0.0001	5	0.0000	493506	0.0001
20	27	0.0003	24	0.0002	31	0.0003	31	0.0003	1516827	0.0002
22	0	0	2	0.0000	1	0.0000	3	0.0000	48945	0.0000
24	0	0	0	0	0	0	0	0	468	0.0000
26	0	0	0	0	0	0	0	0	1	0.0000
24	10485760	2.6861	10485760	2.6850	10485760	2.6824	10485760	2.6846	635013559600	2.6843

Stats 8H02 Main

Top Random Solved 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	1126300	10.7412	1126918	10.7471	1127382	10.7516	1127819	10.7557	68236672504	10.7457
00001	1245161	11.8748	1245397	11.8770	1244392	11.8674	1246071	11.8835	75422521980	11.8773
00011	710235	6.7733	709424	6.7656	711446	6.7849	710545	6.7763	43018771796	6.7745
00111	133819	1.2762	133672	1.2748	134132	1.2792	134815	1.2857	8122425444	1.2791
01000	630682	6.0147	630188	6.0099	630101	6.0091	629613	6.0045	38199411536	6.0155
01001	277661	2.6480	276929	2.6410	276288	2.6349	277072	2.6424	16760560440	2.6394
01011	64457	0.6147	64510	0.6152	64945	0.6194	64354	0.6137	3910797436	0.6159
10000	553209	5.2758	553352	5.2772	552941	5.2733	553330	5.2770	33507777940	5.2767
10001	1181978	11.2722	1181035	11.2632	1183018	11.2821	1181949	11.2719	71592376960	11.2741
10010	1183894	11.2905	1183127	11.2832	1182471	11.2769	1179151	11.2453	71592376960	11.2741
10011	757824	7.2272	758686	7.2354	757777	7.2267	759210	7.2404	45896476704	7.2276
10100	1182696	11.2791	1182718	11.2793	1182456	11.2768	1182464	11.2769	71592376960	11.2741
10101	757220	7.2214	758872	7.2372	756764	7.2171	758189	7.2307	45896476704	7.2276
10110	452800	4.3182	452577	4.3161	452792	4.3182	452921	4.3194	27459860220	4.3243
10111	227824	2.1727	228355	2.1778	228855	2.1825	228257	2.1768	13804676016	2.1739
15	10485760	12.5863	10485760	12.5880	10485760	12.5853	10485760	12.5829	635013559600	12.5855

Stats 8H02 Main

Top Random Solved 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	1127023	10.7481	1128455	10.7618	1128206	10.7594	1126494	10.7431	68236672504	10.7457
00001	1244980	11.8731	1244209	11.8657	1243135	11.8555	1246223	11.8849	75422521980	11.8773
00011	710787	6.7786	712004	6.7902	709773	6.7689	709805	6.7692	43018771796	6.7745
00111	134075	1.2786	134207	1.2799	134541	1.2831	133711	1.2752	8122425444	1.2791
01000	630773	6.0155	631681	6.0242	629573	6.0041	631335	6.0209	38199411536	6.0155
01001	276697	2.6388	276360	2.6356	277017	2.6418	276343	2.6354	16760560440	2.6394
01011	64482	0.6149	64455	0.6147	64727	0.6173	64353	0.6137	3910797436	0.6159
10000	552780	5.2717	552541	5.2694	552728	5.2712	553740	5.2809	33507777940	5.2767
10001	1182729	11.2794	1181311	11.2659	1183694	11.2886	1181498	11.2676	71592376960	11.2741
10010	1182100	11.2734	1182455	11.2768	1180946	11.2624	1182565	11.2778	71592376960	11.2741
10011	758365	7.2323	758472	7.2334	757878	7.2277	758054	7.2294	45896476704	7.2276
10100	1181318	11.2659	1180605	11.2591	1183210	11.2840	1183053	11.2825	71592376960	11.2741
10101	758220	7.2309	758384	7.2325	758294	7.2317	757191	7.2211	45896476704	7.2276
10110	453510	4.3250	452664	4.3169	452888	4.3191	453652	4.3264	27459860220	4.3243
10111	227921	2.1736	227957	2.1740	229150	2.1853	227743	2.1719	13804676016	2.1739
15	10485760	12.5854	10485760	12.5816	10485760	12.5886	10485760	12.5859	635013559600	12.5855

Stats 8H02 Main

Top Random Solved 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	1126502	10.7432	1126574	10.7438	1127256	10.7504	1127702	10.7546	68236672504	10.7457
00001	1245465	11.8777	1246162	11.8843	1244297	11.8665	1246488	11.8874	75422521980	11.8773
00011	710229	6.7733	710461	6.7755	710748	6.7782	709328	6.7647	43018771796	6.7745
00111	134103	1.2789	134783	1.2854	134188	1.2797	133935	1.2773	8122425444	1.2791
01000	630542	6.0133	631045	6.0181	630824	6.0160	629660	6.0049	38199411536	6.0155
01001	276816	2.6399	277122	2.6428	276830	2.6401	276305	2.6350	16760560440	2.6394
01011	64120	0.6115	64878	0.6187	64416	0.6143	64310	0.6133	3910797436	0.6159
10000	552465	5.2687	553772	5.2812	553041	5.2742	553932	5.2827	33507777940	5.2767
10001	1181768	11.2702	1181460	11.2673	1181689	11.2695	1182374	11.2760	71592376960	11.2741
10010	1182157	11.2739	1182834	11.2804	1183584	11.2875	1181586	11.2685	71592376960	11.2741
10011	759480	7.2430	757299	7.2222	756555	7.2151	758195	7.2307	45896476704	7.2276
10100	1181680	11.2694	1181628	11.2689	1182392	11.2762	1182462	11.2768	71592376960	11.2741
10101	758473	7.2334	757066	7.2199	758329	7.2320	758864	7.2371	45896476704	7.2276
10110	453353	4.3235	453052	4.3206	453420	4.3242	452438	4.3148	27459860220	4.3243
10111	228607	2.1802	227624	2.1708	228191	2.1762	228181	2.1761	13804676016	2.1739
15	10485760	12.5873	10485760	12.5823	10485760	12.5861	10485760	12.5855	635013559600	12.5855

Stats 8H02 Main

Top Random Solved 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	1126406	10.7422	1128250	10.7598	1126319	10.7414	1127415	10.7519	68236672504	10.7457
00001	1244589	11.8693	1244468	11.8682	1246227	11.8849	1245749	11.8804	75422521980	11.8773
00011	711336	6.7838	710406	6.7750	710244	6.7734	711026	6.7809	43018771796	6.7745
00111	133797	1.2760	134165	1.2795	134866	1.2862	133834	1.2763	8122425444	1.2791
01000	629237	6.0009	630724	6.0151	630921	6.0169	630288	6.0109	38199411536	6.0155
01001	277203	2.6436	276186	2.6339	277877	2.6500	277187	2.6435	16760560440	2.6394
01011	64634	0.6164	64743	0.6174	64414	0.6143	64091	0.6112	3910797436	0.6159
10000	552665	5.2706	552791	5.2718	552925	5.2731	554141	5.2847	33507777940	5.2767
10001	1182819	11.2802	1181077	11.2636	1183008	11.2820	1180816	11.2611	71592376960	11.2741
10010	1182662	11.2787	1183838	11.2900	1182029	11.2727	1182421	11.2764	71592376960	11.2741
10011	757710	7.2261	756872	7.2181	757355	7.2227	757549	7.2246	45896476704	7.2276
10100	1182075	11.2731	1182229	11.2746	1181461	11.2673	1181890	11.2714	71592376960	11.2741
10101	757956	7.2284	758423	7.2329	757717	7.2262	757904	7.2279	45896476704	7.2276
10110	454232	4.3319	454210	4.3317	452646	4.3168	453449	4.3244	27459860220	4.3243
10111	228439	2.1786	227378	2.1684	227751	2.1720	228000	2.1744	13804676016	2.1739
15	10485760	12.5881	10485760	12.5852	10485760	12.5828	10485760	12.5836	635013559600	12.5855

Stats 8H02 Main

Top Random Solved Deals

Spade quality

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

Bitmap	North		South		West		East		Theoretical
0000000	1204418	11.4862	1203784	11.4802	1205221	11.4939	1207711	11.5176	73006209045	11.4968
0000001	474623	4.5264	475713	4.5368	475241	4.5323	475197	4.5318	28760021745	4.5290
0000010	474825	4.5283	475019	4.5301	474883	4.5288	475764	4.5372	28760021745	4.5290
0000011	167528	1.5977	167749	1.5998	167687	1.5992	167754	1.5998	10150595910	1.5985
0000100	476221	4.5416	474340	4.5237	474858	4.5286	474377	4.5240	28760021745	4.5290
0000101	167339	1.5959	167642	1.5988	167974	1.6019	166881	1.5915	10150595910	1.5985
0000110	168004	1.6022	167726	1.5996	167865	1.6009	168151	1.6036	10150595910	1.5985
0000111	52586	0.5015	52485	0.5005	52709	0.5027	52640	0.5020	3190187286	0.5024
0001000	474168	4.5220	474850	4.5285	474833	4.5284	474586	4.5260	28760021745	4.5290
0001001	167147	1.5940	167675	1.5991	167539	1.5978	167506	1.5975	10150595910	1.5985
0001010	167430	1.5967	167612	1.5985	167539	1.5978	167770	1.6000	10150595910	1.5985
0001011	53018	0.5056	52394	0.4997	52500	0.5007	52694	0.5025	3190187286	0.5024
0001100	167702	1.5993	167452	1.5969	167271	1.5952	167259	1.5951	10150595910	1.5985
0001101	52227	0.4981	52920	0.5047	52391	0.4996	52452	0.5002	3190187286	0.5024
0001110	53045	0.5059	52625	0.5019	52642	0.5020	52613	0.5018	3190187286	0.5024
0001111	14658	0.1398	14617	0.1394	14646	0.1397	14566	0.1389	886163135	0.1396
0010000	475093	4.5308	474210	4.5224	475058	4.5305	474589	4.5260	28760021745	4.5290
0010001	167507	1.5975	168782	1.6096	167842	1.6007	167258	1.5951	10150595910	1.5985
0010010	167898	1.6012	167344	1.5959	167164	1.5942	167540	1.5978	10150595910	1.5985
0010011	52536	0.5010	52580	0.5014	52490	0.5006	52469	0.5004	3190187286	0.5024
0010100	167631	1.5987	167518	1.5976	167636	1.5987	168347	1.6055	10150595910	1.5985
0010101	52453	0.5002	52432	0.5000	52652	0.5021	52673	0.5023	3190187286	0.5024
0010110	52706	0.5026	52489	0.5006	53266	0.5080	52478	0.5005	3190187286	0.5024
0010111	14665	0.1399	14574	0.1390	14667	0.1399	14685	0.1400	886163135	0.1396
0011000	167773	1.6000	167258	1.5951	167717	1.5995	167421	1.5967	10150595910	1.5985
0011001	52865	0.5042	52600	0.5016	52653	0.5021	52903	0.5045	3190187286	0.5024
0011010	52775	0.5033	52149	0.4973	52424	0.5000	52836	0.5039	3190187286	0.5024
0011011	14566	0.1389	14682	0.1400	14746	0.1406	14519	0.1385	886163135	0.1396
0011100	52698	0.5026	52884	0.5043	52716	0.5027	52588	0.5015	3190187286	0.5024
0011101	14623	0.1395	14613	0.1394	14748	0.1406	14666	0.1399	886163135	0.1396
0011110	14677	0.1400	14638	0.1396	14504	0.1383	14715	0.1403	886163135	0.1396
0011111	3640	0.0347	3559	0.0339	3618	0.0345	3606	0.0344	215553195	0.0339
0100000	475062	4.5305	475505	4.5348	475689	4.5365	475177	4.5316	28760021745	4.5290
0100001	167365	1.5961	167429	1.5967	167611	1.5985	168150	1.6036	10150595910	1.5985
0100010	167900	1.6012	167434	1.5968	167406	1.5965	166967	1.5923	10150595910	1.5985
0100011	52667	0.5023	52584	0.5015	52647	0.5021	52354	0.4993	3190187286	0.5024
0100100	167717	1.5995	167687	1.5992	167313	1.5956	167062	1.5932	10150595910	1.5985
0100101	52511	0.5008	52831	0.5038	52768	0.5032	52259	0.4984	3190187286	0.5024
0100110	52719	0.5028	53090	0.5063	52838	0.5039	51958	0.4955	3190187286	0.5024
0100111	14704	0.1402	14696	0.1402	14552	0.1388	14725	0.1404	886163135	0.1396
0101000	168362	1.6056	167926	1.6015	167751	1.5998	166981	1.5925	10150595910	1.5985
0101001	52648	0.5021	52625	0.5019	52789	0.5034	52516	0.5008	3190187286	0.5024
0101010	53085	0.5063	52640	0.5020	52298	0.4988	53021	0.5056	3190187286	0.5024
0101011	14643	0.1396	14567	0.1389	14686	0.1401	14698	0.1402	886163135	0.1396
0101100	52774	0.5033	52555	0.5012	52580	0.5014	52617	0.5018	3190187286	0.5024
0101101	14593	0.1392	14757	0.1407	14653	0.1397	14629	0.1395	886163135	0.1396
0101110	14651	0.1397	14631	0.1395	14612	0.1394	14655	0.1398	886163135	0.1396
0101111	3513	0.0335	3585	0.0342	3609	0.0344	3615	0.0345	215553195	0.0339
0110000	167551	1.5979	167768	1.6000	167181	1.5944	167709	1.5994	10150595910	1.5985
0110001	52593	0.5016	52647	0.5021	52550	0.5012	52871	0.5042	3190187286	0.5024
0110010	52737	0.5029	52870	0.5042	52888	0.5044	52547	0.5011	3190187286	0.5024
0110011	14466	0.1380	14693	0.1401	14832	0.1414	14688	0.1401	886163135	0.1396
0110100	52449	0.5002	52299	0.4988	52542	0.5011	52679	0.5024	3190187286	0.5024
0110101	14491	0.1382	14789	0.1410	14739	0.1406	14703	0.1402	886163135	0.1396
0110110	14573	0.1390	14802	0.1412	14621	0.1394	14583	0.1391	886163135	0.1396
0110111	3536	0.0337	3603	0.0344	3534	0.0337	3610	0.0344	215553195	0.0339
0111000	52931	0.5048	52769	0.5032	52970	0.5052	52849	0.5040	3190187286	0.5024
0111001	14805	0.1412	14807	0.1412	14916	0.1423	14480	0.1381	886163135	0.1396
0111010	15000	0.1431	14536	0.1386	14666	0.1399	14533	0.1386	886163135	0.1396
0111011	3524	0.0336	3625	0.0346	3584	0.0342	3607	0.0344	215553195	0.0339
0111100	14817	0.1413	14732	0.1405	14741	0.1406	14691	0.1401	886163135	0.1396
0111101	3542	0.0338	3515	0.0335	3457	0.0330	3533	0.0337	215553195	0.0339
0111110	3531	0.0337	3568	0.0340	3447	0.0329	3482	0.0332	215553195	0.0339
0111111	715	0.0068	758	0.0072	723	0.0069	766	0.0073	45379620	0.0071
1000000	475550	4.5352	475787	4.5375	475232	4.5322	475001	4.5300	28760021745	4.5290
1000001	167528	1.5977	167879	1.6010	167408	1.5965	167257	1.5951	10150595910	1.5985
1000010	167321	1.5957	166756	1.5903	167917	1.6014	167353	1.5960	10150595910	1.5985
1000011	52803	0.5036	52483	0.5005	53175	0.5071	52818	0.5037	3190187286	0.5024
1000100	167259	1.5951	167753	1.5998	167172	1.5943	168650	1.6084	10150595910	1.5985
1000101	52635	0.5020	53006	0.5055	52799	0.5035	52299	0.4988	3190187286	0.5024
1000110	52731	0.5029	52529	0.5010	53033	0.5058	52696	0.5025	3190187286	0.5024
1000111	14639	0.1396	14623	0.1395	14744	0.1406	14750	0.1407	886163135	0.1396
1001000	167584	1.5982	167809	1.6004	167395	1.5964	168128	1.6034	10150595910	1.5985
1001001	52588	0.5015	52703	0.5026	52539	0.5011	52998	0.5054	3190187286	0.5024
1001010	52888	0.5044	52924	0.5047	52773	0.5033	52434	0.5000	3190187286	0.5024
1001011	14680	0.1400	14512	0.1384	14775	0.1409	14726	0.1404	886163135	0.1396
1001100	52644	0.5021	52882	0.5043	52227	0.4981	52727	0.5028	3190187286	0.5024
1001101	14650	0.1397	14937	0.1425	14706	0.1402	14580	0.1390	886163135	0.1396
1001110	14676	0.1400	14443	0.1377	14617	0.1394	14628	0.1395	886163135	0.1396
1001111	3566	0.0340	3541	0.0338	3555	0.0339	3572	0.0341	215553195	0.0339
1010000	167430	1.5967	167573	1.5981	167674	1.5991	167807	1.6003	10150595910	1.5985
1010001	52932	0.5048	53097	0.5064	52263	0.4984	52387	0.4996	3190187286	0.5024
1010010	52350	0.4992	52596	0.5016	52432	0.5000	52737	0.5029	3190187286	0.5024
1010011	14394	0.1373	14673	0.1399	14583	0.1391	14668	0.1399	886163135	0.1396
1010100	53127	0.5067	52629	0.5019	52862	0.5041	52414	0.4999	3190187286	0.5024
1010101	14719	0.1404	14655	0.1398	14740	0.1406	14534	0.1386	886163135	0.1396
1010110	14535	0.1386	14846	0.1416	14312	0.1365	14574	0.1390	886163135	0.1396
1010111	3478	0.0332	3550	0.0339	3563	0.0340	3557	0.0339	215553195	0.0339
1011000	52640	0.5020	52951	0.5050	52150	0.4973	52841	0.5039	3190187286	0.5024
1011001	14453	0.1378	14620	0.1394	14630	0.1395	14778	0.1409	886163135	0.1396
1011010	14643	0.1396	14526	0.1385	14500	0.1383	14624	0.1395	886163135	0.1396
1011011	3414	0.0326	3572	0.0341	3630	0.0346	3535	0.0337	215553195	0.0339
1011100	14816	0.1413	14539	0.1387	14682	0.1400	14568	0.1389	886163135	0.1396
1011101	3583	0.0342	3562	0.0340	3626	0.0346	3483	0.0332	215553195	0.0339
1011110	3576	0.0341	3567	0.0340	3630	0.0346	3577	0.0341	215553195	0.0339
1011111	763	0.0073	740	0.0071	730	0.0070	773	0.0074	45379620	0.0071
1100000	166848	1.5912	167699	1.5993	167472	1.5971	167120	1.5938	10150595910	1.5985
1100001	52720	0.5028	52312	0.4989	52695	0.5025	52746	0.5030	3190187286	0.5024
1100010	52748	0.5030	52425	0.5000	52746	0.5030	52811	0.5036	3190187286	0.5024
1100011	14501	0.1383	14362	0.1370	14571	0.1390	14552	0.1388	886163135	0.1396
1100100	52868	0.5042	52498	0.5007	52830	0.5038	52753	0.5031	3190187286	0.5024
1100101	14671	0.1399	14724	0.1404	14433	0.1376	14672	0.1399	886163135	0.1396
1100110	14770	0.1409	14797	0.1411	14371	0.1371	14676	0.1400	886163135	0.1396
1100111	3542	0.0338	3643	0.0347	3567	0.0340	3624	0.0346	215553195	0.0339
1101000	52616	0.5018	52484	0.5005	52655	0.5022	52665	0.5023	3190187286	0.5024
1101001	14595	0.1392	14570	0.1390	14821	0.1413	14620	0.1394	886163135	0.1396
1101010	14617	0.1394	14770	0.1409	14608	0.1393	14560	0.1389	886163135	0.1396
1101011	3555	0.0339	3477	0.0332	3590	0.0342	3566	0.0340	215553195	0.0339
1101100	14594	0.1392	14721	0.1404	14472	0.1380	14429	0.1376	886163135	0.1396
1101101	3493	0.0333	3571	0.0341	3478	0.0332	3596	0.0343	215553195	0.0339
1101110	3640	0.0347	3643	0.0347	3623	0.0346	3531	0.0337	215553195	0.0339
1101111	761	0.0073	764	0.0073	763	0.0073	768	0.0073	45379620	0.0071
1110000	52547	0.5011	52530	0.5010	52928	0.5048	52474	0.5004	3190187286	0.5024
1110001	14474	0.1380	14651	0.1397	14622	0.1394	14675	0.1400	886163135	0.1396
1110010	14747	0.1406	14566	0.1389	14607	0.1393	14646	0.1397	886163135	0.1396
1110011	3573	0.0341	3610	0.0344	3588	0.0342	3570	0.0340	215553195	0.0339
1110100	14579	0.1390	14779	0.1409	14505	0.1383	14478	0.1381	886163135	0.1396
1110101	3631	0.0346	3605	0.0344	3518	0.0336	3480	0.0332	215553195	0.0339
1110110	3443	0.0328	3491	0.0333	3616	0.0345	3554	0.0339	215553195	0.0339
1110111	723	0.0069	728	0.0069	821	0.0078	809	0.0077	45379620	0.0071
1111000	14434	0.1377	14808	0.1412	14702	0.1402	14793	0.1411	886163135	0.1396
1111001	3600	0.0343	3591	0.0342	3548	0.0338	3641	0.0347	215553195	0.0339
1111010	3636	0.0347	3571	0.0341	3600	0.0343	3609	0.0344	215553195	0.0339
1111011	749	0.0071	770	0.0073	757	0.0072	738	0.0070	45379620	0.0071
1111100	3565	0.0340	3474	0.0331	3603	0.0344	3562	0.0340	215553195	0.0339
1111101	753	0.0072	750	0.0072	757	0.0072	772	0.0074	45379620	0.0071
1111110	822	0.0078	747	0.0071	784	0.0075	744	0.0071	45379620	0.0071
1111111	130	0.0012	128	0.0012	142	0.0014	123	0.0012	8145060	0.0013
128	10485760	31.7486	10485760	31.7607	10485760	31.7472	10485760	31.7435	635013559600	31.7500