Stats 8H30 Main

RP BBO Matches

by Richard Pavlicek

Double-dummy stats for 61,228 deals

Tables 1-12 list all possible values of each statistic, with the number of occurrences and percent for North, South, West and East. The last column shows the empirical expectation, based on collected evidence (exact calculation is impossible). The bottom line shows the number of unique values (table rows), the total number of occurrences, and the average (mean) value. The remaining tables show statistics about par scores and the Law of Total Tricks.

M sm hm dm cm lf lm bf bm H O B Par Z N E B LoTT 14 15 16 17 18 19 20 21 22

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.

Notrump make = M

Winnable tricks at double-dummy in notrump

Value North South West East Empirical
0 1045 1.7067 1041 1.7002 977 1.5957 977 1.5957 9913593383 1.5612
1 2381 3.8887 2372 3.8740 2294 3.7467 2298 3.7532 23145762677 3.6449
2 3686 6.0201 3715 6.0675 3502 5.7196 3508 5.7294 37977932067 5.9806
3 5065 8.2724 5067 8.2756 5086 8.3067 5089 8.3116 52871069846 8.3260
4 6590 10.7630 6552 10.7010 6435 10.5099 6400 10.4527 67524194742 10.6335
5 7643 12.4829 7586 12.3898 7605 12.4208 7600 12.4126 80101714628 12.6142
6 8701 14.2108 8764 14.3137 8888 14.5162 8898 14.5326 90730441332 14.2880
7 8125 13.2701 8094 13.2194 8013 13.0871 8075 13.1884 84402158672 13.2914
8 6805 11.1142 6824 11.1452 6785 11.0815 6784 11.0799 71237104568 11.2182
9 4554 7.4378 4595 7.5047 4622 7.5488 4622 7.5488 47702049563 7.5120
10 3117 5.0908 3112 5.0826 3234 5.2819 3215 5.2509 32569065440 5.1289
11 1895 3.0950 1885 3.0787 2057 3.3596 2032 3.3187 20600866092 3.2442
12 1174 1.9174 1175 1.9191 1239 2.0236 1238 2.0220 11865157167 1.8685
13 447 0.7301 446 0.7284 491 0.8019 492 0.8036 4372449423 0.6886
14 61228 5.9767 61228 5.9790 61228 6.0403 61228 6.0384 635013559600 6.0066

Value	North	South	West	East	Empirical
0	1045	1.7067	1041	1.7002	977	1.5957	977	1.5957	9913593383	1.5612
1	2381	3.8887	2372	3.8740	2294	3.7467	2298	3.7532	23145762677	3.6449
2	3686	6.0201	3715	6.0675	3502	5.7196	3508	5.7294	37977932067	5.9806
3	5065	8.2724	5067	8.2756	5086	8.3067	5089	8.3116	52871069846	8.3260
4	6590	10.7630	6552	10.7010	6435	10.5099	6400	10.4527	67524194742	10.6335
5	7643	12.4829	7586	12.3898	7605	12.4208	7600	12.4126	80101714628	12.6142
6	8701	14.2108	8764	14.3137	8888	14.5162	8898	14.5326	90730441332	14.2880
7	8125	13.2701	8094	13.2194	8013	13.0871	8075	13.1884	84402158672	13.2914
8	6805	11.1142	6824	11.1452	6785	11.0815	6784	11.0799	71237104568	11.2182
9	4554	7.4378	4595	7.5047	4622	7.5488	4622	7.5488	47702049563	7.5120
10	3117	5.0908	3112	5.0826	3234	5.2819	3215	5.2509	32569065440	5.1289
11	1895	3.0950	1885	3.0787	2057	3.3596	2032	3.3187	20600866092	3.2442
12	1174	1.9174	1175	1.9191	1239	2.0236	1238	2.0220	11865157167	1.8685
13	447	0.7301	446	0.7284	491	0.8019	492	0.8036	4372449423	0.6886
14	61228	5.9767	61228	5.9790	61228	6.0403	61228	6.0384	635013559600	6.0066

Stats 8H30 Main Top RP BBO Matches

Spade make = sm

Winnable tricks at double-dummy with spades trump

Value North South West East Empirical
0 701 1.1449 704 1.1498 673 1.0992 669 1.0926 6949893015 1.0944
1 1806 2.9496 1804 2.9464 1718 2.8059 1726 2.8190 17646817412 2.7790
2 3306 5.3995 3284 5.3636 3081 5.0320 3079 5.0287 32992452829 5.1956
3 4822 7.8755 4835 7.8967 4884 7.9767 4897 7.9980 50476652542 7.9489
4 6484 10.5899 6498 10.6128 6384 10.4266 6365 10.3956 66372975438 10.4522
5 7436 12.1448 7420 12.1186 7560 12.3473 7562 12.3506 77821925315 12.2552
6 7936 12.9614 7911 12.9206 7759 12.6723 7777 12.7017 82551854345 13.0000
7 7649 12.4927 7622 12.4486 7664 12.5171 7649 12.4927 80760822737 12.7180
8 7093 11.5846 7155 11.6858 7089 11.5780 7103 11.6009 73465633954 11.5691
9 5746 9.3846 5737 9.3699 5883 9.6083 5887 9.6149 60489162482 9.5256
10 4300 7.0229 4290 7.0066 4289 7.0050 4267 6.9690 43661750688 6.8757
11 2421 3.9541 2454 4.0080 2658 4.3412 2649 4.3265 26377787548 4.1539
12 1215 1.9844 1206 1.9697 1248 2.0383 1263 2.0628 12128527136 1.9100
13 313 0.5112 308 0.5030 338 0.5520 335 0.5471 3317304159 0.5224
14 61228 6.2700 61228 6.2722 61228 6.3243 61228 6.3235 635013559600 6.2957

Value	North	South	West	East	Empirical
0	701	1.1449	704	1.1498	673	1.0992	669	1.0926	6949893015	1.0944
1	1806	2.9496	1804	2.9464	1718	2.8059	1726	2.8190	17646817412	2.7790
2	3306	5.3995	3284	5.3636	3081	5.0320	3079	5.0287	32992452829	5.1956
3	4822	7.8755	4835	7.8967	4884	7.9767	4897	7.9980	50476652542	7.9489
4	6484	10.5899	6498	10.6128	6384	10.4266	6365	10.3956	66372975438	10.4522
5	7436	12.1448	7420	12.1186	7560	12.3473	7562	12.3506	77821925315	12.2552
6	7936	12.9614	7911	12.9206	7759	12.6723	7777	12.7017	82551854345	13.0000
7	7649	12.4927	7622	12.4486	7664	12.5171	7649	12.4927	80760822737	12.7180
8	7093	11.5846	7155	11.6858	7089	11.5780	7103	11.6009	73465633954	11.5691
9	5746	9.3846	5737	9.3699	5883	9.6083	5887	9.6149	60489162482	9.5256
10	4300	7.0229	4290	7.0066	4289	7.0050	4267	6.9690	43661750688	6.8757
11	2421	3.9541	2454	4.0080	2658	4.3412	2649	4.3265	26377787548	4.1539
12	1215	1.9844	1206	1.9697	1248	2.0383	1263	2.0628	12128527136	1.9100
13	313	0.5112	308	0.5030	338	0.5520	335	0.5471	3317304159	0.5224
14	61228	6.2700	61228	6.2722	61228	6.3243	61228	6.3235	635013559600	6.2957

Stats 8H30 Main Top RP BBO Matches

Heart make = hm

Winnable tricks at double-dummy with hearts trump

Value North South West East Empirical
0 716 1.1694 710 1.1596 709 1.1580 698 1.1400 6949893015 1.0944
1 1796 2.9333 1806 2.9496 1708 2.7896 1723 2.8141 17646817412 2.7790
2 3237 5.2868 3210 5.2427 3076 5.0238 3058 4.9944 32992452829 5.1956
3 4913 8.0241 4953 8.0894 4808 7.8526 4818 7.8689 50476652542 7.9489
4 6415 10.4772 6374 10.4103 6460 10.5507 6446 10.5279 66372975438 10.4522
5 7515 12.2738 7532 12.3016 7450 12.1676 7433 12.1399 77821925315 12.2552
6 7929 12.9500 7905 12.9108 7864 12.8438 7889 12.8846 82551854345 13.0000
7 7732 12.6282 7751 12.6592 7702 12.5792 7747 12.6527 80760822737 12.7180
8 6934 11.3249 6939 11.3331 7150 11.6777 7115 11.6205 73465633954 11.5691
9 5855 9.5626 5846 9.5479 5827 9.5169 5857 9.5659 60489162482 9.5256
10 4163 6.7992 4179 6.8253 4266 6.9674 4244 6.9315 43661750688 6.8757
11 2478 4.0472 2487 4.0619 2585 4.2219 2582 4.2170 26377787548 4.1539
12 1213 1.9811 1204 1.9664 1263 2.0628 1257 2.0530 12128527136 1.9100
13 332 0.5422 332 0.5422 360 0.5880 361 0.5896 3317304159 0.5224
14 61228 6.2695 61228 6.2711 61228 6.3214 61228 6.3216 635013559600 6.2957

Value	North	South	West	East	Empirical
0	716	1.1694	710	1.1596	709	1.1580	698	1.1400	6949893015	1.0944
1	1796	2.9333	1806	2.9496	1708	2.7896	1723	2.8141	17646817412	2.7790
2	3237	5.2868	3210	5.2427	3076	5.0238	3058	4.9944	32992452829	5.1956
3	4913	8.0241	4953	8.0894	4808	7.8526	4818	7.8689	50476652542	7.9489
4	6415	10.4772	6374	10.4103	6460	10.5507	6446	10.5279	66372975438	10.4522
5	7515	12.2738	7532	12.3016	7450	12.1676	7433	12.1399	77821925315	12.2552
6	7929	12.9500	7905	12.9108	7864	12.8438	7889	12.8846	82551854345	13.0000
7	7732	12.6282	7751	12.6592	7702	12.5792	7747	12.6527	80760822737	12.7180
8	6934	11.3249	6939	11.3331	7150	11.6777	7115	11.6205	73465633954	11.5691
9	5855	9.5626	5846	9.5479	5827	9.5169	5857	9.5659	60489162482	9.5256
10	4163	6.7992	4179	6.8253	4266	6.9674	4244	6.9315	43661750688	6.8757
11	2478	4.0472	2487	4.0619	2585	4.2219	2582	4.2170	26377787548	4.1539
12	1213	1.9811	1204	1.9664	1263	2.0628	1257	2.0530	12128527136	1.9100
13	332	0.5422	332	0.5422	360	0.5880	361	0.5896	3317304159	0.5224
14	61228	6.2695	61228	6.2711	61228	6.3214	61228	6.3216	635013559600	6.2957

Stats 8H30 Main Top RP BBO Matches

Diamond make = dm

Winnable tricks at double-dummy with diamonds trump

Value North South West East Empirical
0 744 1.2151 750 1.2249 648 1.0583 654 1.0681 6949893015 1.0944
1 1800 2.9398 1793 2.9284 1705 2.7847 1696 2.7700 17646817412 2.7790
2 3191 5.2117 3176 5.1872 3106 5.0728 3114 5.0859 32992452829 5.1956
3 4995 8.1580 4990 8.1499 4787 7.8183 4793 7.8281 50476652542 7.9489
4 6345 10.3629 6366 10.3972 6299 10.2878 6301 10.2910 66372975438 10.4522
5 7371 12.0386 7390 12.0696 7664 12.5171 7651 12.4959 77821925315 12.2552
6 7972 13.0202 7944 12.9745 7884 12.8765 7870 12.8536 82551854345 13.0000
7 7847 12.8160 7843 12.8095 7826 12.7817 7843 12.8095 80760822737 12.7180
8 7210 11.7757 7180 11.7267 6914 11.2922 6953 11.3559 73465633954 11.5691
9 5691 9.2948 5742 9.3781 5870 9.5871 5821 9.5071 60489162482 9.5256
10 4114 6.7191 4123 6.7338 4267 6.9690 4270 6.9739 43661750688 6.8757
11 2467 4.0292 2441 3.9867 2645 4.3199 2642 4.3150 26377787548 4.1539
12 1185 1.9354 1192 1.9468 1241 2.0269 1253 2.0464 12128527136 1.9100
13 296 0.4834 298 0.4867 372 0.6076 367 0.5994 3317304159 0.5224
14 61228 6.2620 61228 6.2630 61228 6.3290 61228 6.3282 635013559600 6.2957

Value	North	South	West	East	Empirical
0	744	1.2151	750	1.2249	648	1.0583	654	1.0681	6949893015	1.0944
1	1800	2.9398	1793	2.9284	1705	2.7847	1696	2.7700	17646817412	2.7790
2	3191	5.2117	3176	5.1872	3106	5.0728	3114	5.0859	32992452829	5.1956
3	4995	8.1580	4990	8.1499	4787	7.8183	4793	7.8281	50476652542	7.9489
4	6345	10.3629	6366	10.3972	6299	10.2878	6301	10.2910	66372975438	10.4522
5	7371	12.0386	7390	12.0696	7664	12.5171	7651	12.4959	77821925315	12.2552
6	7972	13.0202	7944	12.9745	7884	12.8765	7870	12.8536	82551854345	13.0000
7	7847	12.8160	7843	12.8095	7826	12.7817	7843	12.8095	80760822737	12.7180
8	7210	11.7757	7180	11.7267	6914	11.2922	6953	11.3559	73465633954	11.5691
9	5691	9.2948	5742	9.3781	5870	9.5871	5821	9.5071	60489162482	9.5256
10	4114	6.7191	4123	6.7338	4267	6.9690	4270	6.9739	43661750688	6.8757
11	2467	4.0292	2441	3.9867	2645	4.3199	2642	4.3150	26377787548	4.1539
12	1185	1.9354	1192	1.9468	1241	2.0269	1253	2.0464	12128527136	1.9100
13	296	0.4834	298	0.4867	372	0.6076	367	0.5994	3317304159	0.5224
14	61228	6.2620	61228	6.2630	61228	6.3290	61228	6.3282	635013559600	6.2957

Stats 8H30 Main Top RP BBO Matches

Club make = cm

Winnable tricks at double-dummy with clubs trump

Value North South West East Empirical
0 717 1.1710 729 1.1906 708 1.1563 707 1.1547 6949893015 1.0944
1 1830 2.9888 1801 2.9415 1667 2.7226 1658 2.7079 17646817412 2.7790
2 3155 5.1529 3185 5.2019 3147 5.1398 3159 5.1594 32992452829 5.1956
3 4711 7.6942 4725 7.7171 4823 7.8771 4846 7.9147 50476652542 7.9489
4 6450 10.5344 6410 10.4691 6282 10.2600 6248 10.2045 66372975438 10.4522
5 7722 12.6119 7713 12.5972 7385 12.0615 7409 12.1007 77821925315 12.2552
6 7886 12.8797 7886 12.8797 7960 13.0006 7972 13.0202 82551854345 13.0000
7 8010 13.0822 8011 13.0839 7821 12.7736 7772 12.6935 80760822737 12.7180
8 6863 11.2089 6864 11.2106 7317 11.9504 7346 11.9978 73465633954 11.5691
9 5661 9.2458 5666 9.2539 5815 9.4973 5807 9.4842 60489162482 9.5256
10 4241 6.9266 4251 6.9429 4090 6.6800 4108 6.7093 43661750688 6.8757
11 2475 4.0423 2479 4.0488 2547 4.1599 2544 4.1550 26377787548 4.1539
12 1185 1.9354 1191 1.9452 1301 2.1248 1290 2.1069 12128527136 1.9100
13 322 0.5259 317 0.5177 365 0.5961 362 0.5912 3317304159 0.5224
14 61228 6.2710 61228 6.2723 61228 6.3228 61228 6.3217 635013559600 6.2957

Value	North	South	West	East	Empirical
0	717	1.1710	729	1.1906	708	1.1563	707	1.1547	6949893015	1.0944
1	1830	2.9888	1801	2.9415	1667	2.7226	1658	2.7079	17646817412	2.7790
2	3155	5.1529	3185	5.2019	3147	5.1398	3159	5.1594	32992452829	5.1956
3	4711	7.6942	4725	7.7171	4823	7.8771	4846	7.9147	50476652542	7.9489
4	6450	10.5344	6410	10.4691	6282	10.2600	6248	10.2045	66372975438	10.4522
5	7722	12.6119	7713	12.5972	7385	12.0615	7409	12.1007	77821925315	12.2552
6	7886	12.8797	7886	12.8797	7960	13.0006	7972	13.0202	82551854345	13.0000
7	8010	13.0822	8011	13.0839	7821	12.7736	7772	12.6935	80760822737	12.7180
8	6863	11.2089	6864	11.2106	7317	11.9504	7346	11.9978	73465633954	11.5691
9	5661	9.2458	5666	9.2539	5815	9.4973	5807	9.4842	60489162482	9.5256
10	4241	6.9266	4251	6.9429	4090	6.6800	4108	6.7093	43661750688	6.8757
11	2475	4.0423	2479	4.0488	2547	4.1599	2544	4.1550	26377787548	4.1539
12	1185	1.9354	1191	1.9452	1301	2.1248	1290	2.1069	12128527136	1.9100
13	322	0.5259	317	0.5177	365	0.5961	362	0.5912	3317304159	0.5224
14	61228	6.2710	61228	6.2723	61228	6.3228	61228	6.3217	635013559600	6.2957

Stats 8H30 Main Top RP BBO Matches

Longest fit = lf

Number of cards in longest trump fit

Value North South West East Theoretical (exact)
7 9740 15.9078 9740 15.9078 9827 16.0498 9827 16.0498 13006498437504 15.7363
8 27906 45.5772 27906 45.5772 27759 45.3371 27759 45.3371 37809373653909 45.7447
9 17234 28.1473 17234 28.1473 17372 28.3726 17372 28.3726 23225440992325 28.0999
10 5244 8.5647 5244 8.5647 5181 8.4618 5181 8.4618 7168401039800 8.6729
11 1010 1.6496 1010 1.6496 975 1.5924 975 1.5924 1307227435020 1.5816
12 89 0.1454 89 0.1454 110 0.1797 110 0.1797 130732315831 0.1582
13 5 0.0082 5 0.0082 4 0.0065 4 0.0065 5414950295 0.0066
7 61228 8.3494 61228 8.3494 61228 8.3477 61228 8.3477 82653088824684 8.3512

Value	North	South	West	East	Theoretical (exact)
7	9740	15.9078	9740	15.9078	9827	16.0498	9827	16.0498	13006498437504	15.7363
8	27906	45.5772	27906	45.5772	27759	45.3371	27759	45.3371	37809373653909	45.7447
9	17234	28.1473	17234	28.1473	17372	28.3726	17372	28.3726	23225440992325	28.0999
10	5244	8.5647	5244	8.5647	5181	8.4618	5181	8.4618	7168401039800	8.6729
11	1010	1.6496	1010	1.6496	975	1.5924	975	1.5924	1307227435020	1.5816
12	89	0.1454	89	0.1454	110	0.1797	110	0.1797	130732315831	0.1582
13	5	0.0082	5	0.0082	4	0.0065	4	0.0065	5414950295	0.0066
7	61228	8.3494	61228	8.3494	61228	8.3477	61228	8.3477	82653088824684	8.3512

Stats 8H30 Main Top RP BBO Matches

Longest fit make = lm

Winnable tricks at double-dummy with longest fit trumps

Value North South West East Empirical
0 4 0.0065 4 0.0065 7 0.0114 6 0.0098 22876394 0.0036
1 32 0.0523 35 0.0572 26 0.0425 27 0.0441 251246691 0.0396
2 184 0.3005 177 0.2891 160 0.2613 159 0.2597 1556124656 0.2451
3 595 0.9718 593 0.9685 575 0.9391 574 0.9375 5892722789 0.9280
4 1662 2.7144 1681 2.7455 1634 2.6687 1623 2.6507 16409883547 2.5842
5 3623 5.9172 3595 5.8715 3493 5.7049 3520 5.7490 35643298455 5.6130
6 6012 9.8190 5987 9.7782 5809 9.4875 5800 9.4728 62031256233 9.7685
7 8795 14.3643 8800 14.3725 8504 13.8891 8518 13.9119 89999744190 14.1729
8 10547 17.2258 10557 17.2421 10553 17.2356 10554 17.2372 110099842849 17.3382
9 10663 17.4152 10666 17.4201 10920 17.8350 10914 17.8252 113173167471 17.8222
10 9311 15.2071 9332 15.2414 9175 14.9850 9171 14.9784 95919764225 15.1052
11 5930 9.6851 5939 9.6998 6228 10.1718 6218 10.1555 64150449024 10.1022
12 3043 4.9699 3038 4.9618 3199 5.2247 3205 5.2345 31112561346 4.8995
13 827 1.3507 824 1.3458 945 1.5434 939 1.5336 8750621730 1.3780
14 61228 8.3383 61228 8.3402 61228 8.3963 61228 8.3951 635013559600 8.3753

Value	North	South	West	East	Empirical
0	4	0.0065	4	0.0065	7	0.0114	6	0.0098	22876394	0.0036
1	32	0.0523	35	0.0572	26	0.0425	27	0.0441	251246691	0.0396
2	184	0.3005	177	0.2891	160	0.2613	159	0.2597	1556124656	0.2451
3	595	0.9718	593	0.9685	575	0.9391	574	0.9375	5892722789	0.9280
4	1662	2.7144	1681	2.7455	1634	2.6687	1623	2.6507	16409883547	2.5842
5	3623	5.9172	3595	5.8715	3493	5.7049	3520	5.7490	35643298455	5.6130
6	6012	9.8190	5987	9.7782	5809	9.4875	5800	9.4728	62031256233	9.7685
7	8795	14.3643	8800	14.3725	8504	13.8891	8518	13.9119	89999744190	14.1729
8	10547	17.2258	10557	17.2421	10553	17.2356	10554	17.2372	110099842849	17.3382
9	10663	17.4152	10666	17.4201	10920	17.8350	10914	17.8252	113173167471	17.8222
10	9311	15.2071	9332	15.2414	9175	14.9850	9171	14.9784	95919764225	15.1052
11	5930	9.6851	5939	9.6998	6228	10.1718	6218	10.1555	64150449024	10.1022
12	3043	4.9699	3038	4.9618	3199	5.2247	3205	5.2345	31112561346	4.8995
13	827	1.3507	824	1.3458	945	1.5434	939	1.5336	8750621730	1.3780
14	61228	8.3383	61228	8.3402	61228	8.3963	61228	8.3951	635013559600	8.3753

Stats 8H30 Main Top RP BBO Matches

Best fit = bf

Number of cards in most productive (double-dummy) trump fit

Value North South West East Empirical
5 27 0.0441 27 0.0441 33 0.0539 34 0.0555 10461673 0.0016
6 154 0.2516 137 0.2238 163 0.2663 166 0.2712 1222077835 0.1924
7 10305 16.8338 10300 16.8259 10358 16.9199 10366 16.9329 105351212255 16.5904
8 27537 44.9833 27558 45.0184 27402 44.7613 27376 44.7189 287234089436 45.2327
9 16884 27.5810 16891 27.5929 17053 27.8562 17066 27.8774 175437245133 27.6273
10 5214 8.5174 5208 8.5077 5126 8.3734 5127 8.3750 54701014789 8.6141
11 1001 1.6352 1000 1.6336 969 1.5829 969 1.5829 10008187498 1.5761
12 89 0.1454 89 0.1454 110 0.1797 110 0.1797 1006364496 0.1585
13 5 0.0082 5 0.0082 4 0.0065 4 0.0065 42906485 0.0068
9 61216 8.3267 61215 8.3273 61218 8.3249 61218 8.3249 635013559600 8.3327

Value	North	South	West	East	Empirical
5	27	0.0441	27	0.0441	33	0.0539	34	0.0555	10461673	0.0016
6	154	0.2516	137	0.2238	163	0.2663	166	0.2712	1222077835	0.1924
7	10305	16.8338	10300	16.8259	10358	16.9199	10366	16.9329	105351212255	16.5904
8	27537	44.9833	27558	45.0184	27402	44.7613	27376	44.7189	287234089436	45.2327
9	16884	27.5810	16891	27.5929	17053	27.8562	17066	27.8774	175437245133	27.6273
10	5214	8.5174	5208	8.5077	5126	8.3734	5127	8.3750	54701014789	8.6141
11	1001	1.6352	1000	1.6336	969	1.5829	969	1.5829	10008187498	1.5761
12	89	0.1454	89	0.1454	110	0.1797	110	0.1797	1006364496	0.1585
13	5	0.0082	5	0.0082	4	0.0065	4	0.0065	42906485	0.0068
9	61216	8.3267	61215	8.3273	61218	8.3249	61218	8.3249	635013559600	8.3327

Stats 8H30 Main Top RP BBO Matches

Best fit make = bm

Winnable tricks at double-dummy with most productive fit trumps

Value North South West East Empirical
0 1 0.0016 1 0.0016 0 0 0 0 1513990 0.0002
1 17 0.0278 18 0.0294 16 0.0261 16 0.0261 132231913 0.0208
2 159 0.2597 156 0.2548 126 0.2058 121 0.1976 1339624042 0.2110
3 561 0.9162 561 0.9162 546 0.8917 549 0.8966 5671089748 0.8931
4 1589 2.5952 1597 2.6083 1600 2.6132 1580 2.5805 16177592015 2.5476
5 3602 5.8829 3586 5.8568 3470 5.6673 3511 5.7343 35415185536 5.5771
6 5980 9.7668 5955 9.7259 5752 9.3944 5733 9.3634 61775936908 9.7283
7 8785 14.3480 8802 14.3758 8492 13.8695 8507 13.8940 89711329037 14.1275
8 10546 17.2241 10532 17.2013 10542 17.2176 10547 17.2258 109962826727 17.3166
9 10709 17.4904 10718 17.5051 10961 17.9019 10952 17.8872 113305081446 17.8429
10 9329 15.2365 9353 15.2757 9217 15.0536 9212 15.0454 96187452851 15.1473
11 5980 9.7668 5991 9.7847 6254 10.2143 6250 10.2077 64547826059 10.1648
12 3104 5.0696 3098 5.0598 3268 5.3374 3270 5.3407 31646530587 4.9836
13 866 1.4144 860 1.4046 984 1.6071 980 1.6006 9139338741 1.4392
14 61228 8.3636 61228 8.3651 61228 8.4205 61228 8.4197 635013559600 8.3938

Value	North	South	West	East	Empirical
0	1	0.0016	1	0.0016	0	0	0	0	1513990	0.0002
1	17	0.0278	18	0.0294	16	0.0261	16	0.0261	132231913	0.0208
2	159	0.2597	156	0.2548	126	0.2058	121	0.1976	1339624042	0.2110
3	561	0.9162	561	0.9162	546	0.8917	549	0.8966	5671089748	0.8931
4	1589	2.5952	1597	2.6083	1600	2.6132	1580	2.5805	16177592015	2.5476
5	3602	5.8829	3586	5.8568	3470	5.6673	3511	5.7343	35415185536	5.5771
6	5980	9.7668	5955	9.7259	5752	9.3944	5733	9.3634	61775936908	9.7283
7	8785	14.3480	8802	14.3758	8492	13.8695	8507	13.8940	89711329037	14.1275
8	10546	17.2241	10532	17.2013	10542	17.2176	10547	17.2258	109962826727	17.3166
9	10709	17.4904	10718	17.5051	10961	17.9019	10952	17.8872	113305081446	17.8429
10	9329	15.2365	9353	15.2757	9217	15.0536	9212	15.0454	96187452851	15.1473
11	5980	9.7668	5991	9.7847	6254	10.2143	6250	10.2077	64547826059	10.1648
12	3104	5.0696	3098	5.0598	3268	5.3374	3270	5.3407	31646530587	4.9836
13	866	1.4144	860	1.4046	984	1.6071	980	1.6006	9139338741	1.4392
14	61228	8.3636	61228	8.3651	61228	8.4205	61228	8.4197	635013559600	8.3938

Stats 8H30 Main Top RP BBO Matches

Highest make = H

Highest makable strain-tricks at double-dummy

Value North South West East Empirical
None = 0 1 0.0016 1 0.0016 0 0 0 0 1513990 0.0002
1 = 1 0 0 0 0 2 0.0033 2 0.0033 4027214 0.0006
1 = 2 4 0.0065 5 0.0082 3 0.0049 3 0.0049 11612306 0.0018
1 = 3 2 0.0033 2 0.0033 3 0.0049 3 0.0049 25874094 0.0041
1 = 4 8 0.0131 8 0.0131 4 0.0065 4 0.0065 53231899 0.0084
N 1 = 5 3 0.0049 3 0.0049 4 0.0065 4 0.0065 36956503 0.0058
2 = 6 10 0.0163 10 0.0163 11 0.0180 12 0.0196 120316810 0.0189
2 = 7 23 0.0376 21 0.0343 22 0.0359 22 0.0359 198635528 0.0313
2 = 8 38 0.0621 40 0.0653 34 0.0555 32 0.0523 326628269 0.0514
2 = 9 68 0.1111 66 0.1078 43 0.0702 42 0.0686 500918833 0.0789
N 2 = 10 19 0.0310 18 0.0294 15 0.0245 12 0.0196 185145875 0.0292
3 = 11 64 0.1045 61 0.0996 68 0.1111 67 0.1094 708986520 0.1116
3 = 12 102 0.1666 107 0.1748 113 0.1846 115 0.1878 998658286 0.1573
3 = 13 141 0.2303 138 0.2254 122 0.1993 121 0.1976 1395338886 0.2197
3 = 14 188 0.3070 189 0.3087 175 0.2858 175 0.2858 1910125869 0.3008
N 3 = 15 62 0.1013 62 0.1013 63 0.1029 68 0.1111 600509115 0.0946
4 = 16 236 0.3854 239 0.3903 219 0.3577 216 0.3528 2289229042 0.3605
4 = 17 292 0.4769 288 0.4704 304 0.4965 302 0.4932 2994612265 0.4716
4 = 18 362 0.5912 357 0.5831 380 0.6206 378 0.6174 3903975403 0.6148
4 = 19 510 0.8330 520 0.8493 511 0.8346 503 0.8215 5081012026 0.8001
N 4 = 20 166 0.2711 167 0.2728 164 0.2679 165 0.2695 1713322270 0.2698
5 = 21 612 0.9995 595 0.9718 517 0.8444 524 0.8558 5390835002 0.8489
5 = 22 721 1.1776 723 1.1808 677 1.1057 684 1.1171 6765583620 1.0654
5 = 23 850 1.3883 859 1.4030 806 1.3164 820 1.3393 8498769442 1.3384
5 = 24 1015 1.6577 1008 1.6463 1061 1.7329 1066 1.7410 10602398413 1.6696
N 5 = 25 367 0.5994 374 0.6108 370 0.6043 369 0.6027 3790350430 0.5969
6 = 26 992 1.6202 1002 1.6365 906 1.4797 904 1.4764 9966643603 1.5695
6 = 27 1186 1.9370 1166 1.9044 1125 1.8374 1124 1.8358 12109712021 1.9070
6 = 28 1416 2.3127 1409 2.3012 1420 2.3192 1415 2.3110 14729112069 2.3195
6 = 29 1720 2.8092 1727 2.8206 1669 2.7259 1658 2.7079 17910202521 2.8204
N 6 = 30 619 1.0110 602 0.9832 597 0.9750 602 0.9832 6534760658 1.0291
7 = 31 1503 2.4548 1496 2.4433 1479 2.4156 1499 2.4482 15075437352 2.3740
7 = 32 1793 2.9284 1804 2.9464 1698 2.7732 1690 2.7602 17958650211 2.8281
7 = 33 2067 3.3759 2087 3.4086 1995 3.2583 2017 3.2942 21361994439 3.3640
7 = 34 2423 3.9573 2424 3.9590 2430 3.9688 2386 3.8969 25528480621 4.0201
N 7 = 35 917 1.4977 909 1.4846 840 1.3719 864 1.4111 9154206125 1.4416
8 = 36 1772 2.8941 1774 2.8974 1867 3.0493 1866 3.0476 18791511418 2.9592
8 = 37 2129 3.4772 2154 3.5180 2033 3.3204 2041 3.3334 22088800625 3.4785
8 = 38 2507 4.0945 2514 4.1060 2556 4.1746 2532 4.1354 26002102208 4.0947
8 = 39 2956 4.8279 2932 4.7887 2912 4.7560 2932 4.7887 30496109913 4.8024
N 8 = 40 1166 1.9044 1147 1.8733 1110 1.8129 1104 1.8031 12173466153 1.9170
9 = 41 1784 2.9137 1768 2.8876 1803 2.9447 1816 2.9660 19155398988 3.0165
9 = 42 2073 3.3857 2095 3.4216 2201 3.5948 2174 3.5507 22679953280 3.5716
9 = 43 2585 4.2219 2566 4.1909 2622 4.2824 2638 4.3085 26645003052 4.1960
9 = 44 2987 4.8785 3006 4.9095 3015 4.9242 3013 4.9210 31116921638 4.9002
N 9 = 45 1280 2.0905 1289 2.1052 1354 2.2114 1348 2.2016 13776418529 2.1695
10 = 46 1549 2.5299 1575 2.5724 1479 2.4156 1473 2.4058 15678126613 2.4689
10 = 47 1783 2.9121 1768 2.8876 1850 3.0215 1862 3.0411 18845651711 2.9678
10 = 48 2112 3.4494 2128 3.4755 2078 3.3939 2087 3.4086 22346330376 3.5190
10 = 49 2600 4.2464 2589 4.2285 2534 4.1386 2536 4.1419 26213758053 4.1281
N 10 = 50 1352 2.2081 1342 2.1918 1330 2.1722 1313 2.1444 13730953401 2.1623
11 = 51 904 1.4764 902 1.4732 896 1.4634 890 1.4536 9697289588 1.5271
11 = 52 1093 1.7851 1087 1.7753 1151 1.8799 1155 1.8864 11914043914 1.8762
11 = 53 1339 2.1869 1346 2.1983 1344 2.1951 1339 2.1869 14305376462 2.2528
11 = 54 1558 2.5446 1583 2.5854 1717 2.8043 1708 2.7896 16882127404 2.6585
N 11 = 55 1172 1.9142 1159 1.8929 1221 1.9942 1221 1.9942 12637216524 1.9901
12 = 56 398 0.6500 391 0.6386 436 0.7121 428 0.6990 4042066459 0.6365
12 = 57 444 0.7252 451 0.7366 488 0.7970 496 0.8101 4996576787 0.7868
12 = 58 599 0.9783 600 0.9799 628 1.0257 623 1.0175 6084938998 0.9582
12 = 59 715 1.1678 701 1.1449 725 1.1841 738 1.2053 7241748711 1.1404
N 12 = 60 989 1.6153 1002 1.6365 1029 1.6806 1036 1.6920 9797000990 1.5428
13 = 61 87 0.1421 80 0.1307 109 0.1780 108 0.1764 950467974 0.1497
13 = 62 95 0.1552 93 0.1519 111 0.1813 107 0.1748 1125576093 0.1773
13 = 63 117 0.1911 120 0.1960 141 0.2303 141 0.2303 1297292873 0.2043
13 = 64 136 0.2221 133 0.2172 147 0.2401 143 0.2336 1491113912 0.2348
N 13 = 65 447 0.7301 446 0.7284 491 0.8019 492 0.8036 4372449423 0.6886
66 61228 39.9427 61228 39.9463 61228 40.2250 61228 40.2198 635013559600 40.0915

Value	North	South	West	East	Empirical
None = 0	1	0.0016	1	0.0016	0	0	0	0	1513990	0.0002
1 = 1	0	0	0	0	2	0.0033	2	0.0033	4027214	0.0006
1 = 2	4	0.0065	5	0.0082	3	0.0049	3	0.0049	11612306	0.0018
1 = 3	2	0.0033	2	0.0033	3	0.0049	3	0.0049	25874094	0.0041
1 = 4	8	0.0131	8	0.0131	4	0.0065	4	0.0065	53231899	0.0084
N 1 = 5	3	0.0049	3	0.0049	4	0.0065	4	0.0065	36956503	0.0058
2 = 6	10	0.0163	10	0.0163	11	0.0180	12	0.0196	120316810	0.0189
2 = 7	23	0.0376	21	0.0343	22	0.0359	22	0.0359	198635528	0.0313
2 = 8	38	0.0621	40	0.0653	34	0.0555	32	0.0523	326628269	0.0514
2 = 9	68	0.1111	66	0.1078	43	0.0702	42	0.0686	500918833	0.0789
N 2 = 10	19	0.0310	18	0.0294	15	0.0245	12	0.0196	185145875	0.0292
3 = 11	64	0.1045	61	0.0996	68	0.1111	67	0.1094	708986520	0.1116
3 = 12	102	0.1666	107	0.1748	113	0.1846	115	0.1878	998658286	0.1573
3 = 13	141	0.2303	138	0.2254	122	0.1993	121	0.1976	1395338886	0.2197
3 = 14	188	0.3070	189	0.3087	175	0.2858	175	0.2858	1910125869	0.3008
N 3 = 15	62	0.1013	62	0.1013	63	0.1029	68	0.1111	600509115	0.0946
4 = 16	236	0.3854	239	0.3903	219	0.3577	216	0.3528	2289229042	0.3605
4 = 17	292	0.4769	288	0.4704	304	0.4965	302	0.4932	2994612265	0.4716
4 = 18	362	0.5912	357	0.5831	380	0.6206	378	0.6174	3903975403	0.6148
4 = 19	510	0.8330	520	0.8493	511	0.8346	503	0.8215	5081012026	0.8001
N 4 = 20	166	0.2711	167	0.2728	164	0.2679	165	0.2695	1713322270	0.2698
5 = 21	612	0.9995	595	0.9718	517	0.8444	524	0.8558	5390835002	0.8489
5 = 22	721	1.1776	723	1.1808	677	1.1057	684	1.1171	6765583620	1.0654
5 = 23	850	1.3883	859	1.4030	806	1.3164	820	1.3393	8498769442	1.3384
5 = 24	1015	1.6577	1008	1.6463	1061	1.7329	1066	1.7410	10602398413	1.6696
N 5 = 25	367	0.5994	374	0.6108	370	0.6043	369	0.6027	3790350430	0.5969
6 = 26	992	1.6202	1002	1.6365	906	1.4797	904	1.4764	9966643603	1.5695
6 = 27	1186	1.9370	1166	1.9044	1125	1.8374	1124	1.8358	12109712021	1.9070
6 = 28	1416	2.3127	1409	2.3012	1420	2.3192	1415	2.3110	14729112069	2.3195
6 = 29	1720	2.8092	1727	2.8206	1669	2.7259	1658	2.7079	17910202521	2.8204
N 6 = 30	619	1.0110	602	0.9832	597	0.9750	602	0.9832	6534760658	1.0291
7 = 31	1503	2.4548	1496	2.4433	1479	2.4156	1499	2.4482	15075437352	2.3740
7 = 32	1793	2.9284	1804	2.9464	1698	2.7732	1690	2.7602	17958650211	2.8281
7 = 33	2067	3.3759	2087	3.4086	1995	3.2583	2017	3.2942	21361994439	3.3640
7 = 34	2423	3.9573	2424	3.9590	2430	3.9688	2386	3.8969	25528480621	4.0201
N 7 = 35	917	1.4977	909	1.4846	840	1.3719	864	1.4111	9154206125	1.4416
8 = 36	1772	2.8941	1774	2.8974	1867	3.0493	1866	3.0476	18791511418	2.9592
8 = 37	2129	3.4772	2154	3.5180	2033	3.3204	2041	3.3334	22088800625	3.4785
8 = 38	2507	4.0945	2514	4.1060	2556	4.1746	2532	4.1354	26002102208	4.0947
8 = 39	2956	4.8279	2932	4.7887	2912	4.7560	2932	4.7887	30496109913	4.8024
N 8 = 40	1166	1.9044	1147	1.8733	1110	1.8129	1104	1.8031	12173466153	1.9170
9 = 41	1784	2.9137	1768	2.8876	1803	2.9447	1816	2.9660	19155398988	3.0165
9 = 42	2073	3.3857	2095	3.4216	2201	3.5948	2174	3.5507	22679953280	3.5716
9 = 43	2585	4.2219	2566	4.1909	2622	4.2824	2638	4.3085	26645003052	4.1960
9 = 44	2987	4.8785	3006	4.9095	3015	4.9242	3013	4.9210	31116921638	4.9002
N 9 = 45	1280	2.0905	1289	2.1052	1354	2.2114	1348	2.2016	13776418529	2.1695
10 = 46	1549	2.5299	1575	2.5724	1479	2.4156	1473	2.4058	15678126613	2.4689
10 = 47	1783	2.9121	1768	2.8876	1850	3.0215	1862	3.0411	18845651711	2.9678
10 = 48	2112	3.4494	2128	3.4755	2078	3.3939	2087	3.4086	22346330376	3.5190
10 = 49	2600	4.2464	2589	4.2285	2534	4.1386	2536	4.1419	26213758053	4.1281
N 10 = 50	1352	2.2081	1342	2.1918	1330	2.1722	1313	2.1444	13730953401	2.1623
11 = 51	904	1.4764	902	1.4732	896	1.4634	890	1.4536	9697289588	1.5271
11 = 52	1093	1.7851	1087	1.7753	1151	1.8799	1155	1.8864	11914043914	1.8762
11 = 53	1339	2.1869	1346	2.1983	1344	2.1951	1339	2.1869	14305376462	2.2528
11 = 54	1558	2.5446	1583	2.5854	1717	2.8043	1708	2.7896	16882127404	2.6585
N 11 = 55	1172	1.9142	1159	1.8929	1221	1.9942	1221	1.9942	12637216524	1.9901
12 = 56	398	0.6500	391	0.6386	436	0.7121	428	0.6990	4042066459	0.6365
12 = 57	444	0.7252	451	0.7366	488	0.7970	496	0.8101	4996576787	0.7868
12 = 58	599	0.9783	600	0.9799	628	1.0257	623	1.0175	6084938998	0.9582
12 = 59	715	1.1678	701	1.1449	725	1.1841	738	1.2053	7241748711	1.1404
N 12 = 60	989	1.6153	1002	1.6365	1029	1.6806	1036	1.6920	9797000990	1.5428
13 = 61	87	0.1421	80	0.1307	109	0.1780	108	0.1764	950467974	0.1497
13 = 62	95	0.1552	93	0.1519	111	0.1813	107	0.1748	1125576093	0.1773
13 = 63	117	0.1911	120	0.1960	141	0.2303	141	0.2303	1297292873	0.2043
13 = 64	136	0.2221	133	0.2172	147	0.2401	143	0.2336	1491113912	0.2348
N 13 = 65	447	0.7301	446	0.7284	491	0.8019	492	0.8036	4372449423	0.6886
66	61228	39.9427	61228	39.9463	61228	40.2250	61228	40.2198	635013559600	40.0915

Stats 8H30 Main Top RP BBO Matches

On-lead highest make = O

Highest makable strain-tricks at double-dummy if on lead

Value North South West East Empirical
None = 0 1 0.0016 1 0.0016 0 0 0 0 1241472 0.0002
1 = 1 0 0 0 0 2 0.0033 2 0.0033 3239939 0.0005
1 = 2 4 0.0065 4 0.0065 3 0.0049 3 0.0049 9447300 0.0015
1 = 3 2 0.0033 2 0.0033 3 0.0049 3 0.0049 21574362 0.0034
1 = 4 8 0.0131 8 0.0131 3 0.0049 3 0.0049 42527988 0.0067
N 1 = 5 3 0.0049 2 0.0033 4 0.0065 3 0.0049 26388851 0.0042
2 = 6 8 0.0131 7 0.0114 7 0.0114 6 0.0098 84995416 0.0134
2 = 7 13 0.0212 15 0.0245 17 0.0278 15 0.0245 142224249 0.0224
2 = 8 24 0.0392 22 0.0359 25 0.0408 23 0.0376 231292299 0.0364
2 = 9 47 0.0768 46 0.0751 31 0.0506 35 0.0572 363266834 0.0572
N 2 = 10 14 0.0229 11 0.0180 10 0.0163 11 0.0180 127432564 0.0201
3 = 11 41 0.0670 48 0.0784 46 0.0751 49 0.0800 493076363 0.0776
3 = 12 80 0.1307 82 0.1339 66 0.1078 61 0.0996 693513539 0.1092
3 = 13 103 0.1682 102 0.1666 86 0.1405 87 0.1421 1000823292 0.1576
3 = 14 143 0.2336 148 0.2417 125 0.2042 135 0.2205 1395369165 0.2197
N 3 = 15 45 0.0735 52 0.0849 50 0.0817 49 0.0800 517057969 0.0814
4 = 16 159 0.2597 152 0.2483 168 0.2744 165 0.2695 1644254032 0.2589
4 = 17 208 0.3397 210 0.3430 215 0.3511 226 0.3691 2174377737 0.3424
4 = 18 270 0.4410 287 0.4687 274 0.4475 273 0.4459 2890268054 0.4552
4 = 19 401 0.6549 384 0.6272 397 0.6484 389 0.6353 3825111648 0.6024
N 4 = 20 153 0.2499 139 0.2270 151 0.2466 155 0.2532 1603391433 0.2525
5 = 21 426 0.6958 433 0.7072 386 0.6304 370 0.6043 3998705776 0.6297
5 = 22 497 0.8117 505 0.8248 498 0.8134 489 0.7987 5059967561 0.7968
5 = 23 653 1.0665 642 1.0485 627 1.0240 613 1.0012 6444920473 1.0149
5 = 24 795 1.2984 806 1.3164 814 1.3295 805 1.3148 8171172220 1.2868
N 5 = 25 397 0.6484 389 0.6353 375 0.6125 380 0.6206 3680646693 0.5796
6 = 26 806 1.3164 791 1.2919 716 1.1694 731 1.1939 7757580348 1.2216
6 = 27 953 1.5565 936 1.5287 877 1.4324 879 1.4356 9525027771 1.5000
6 = 28 1146 1.8717 1173 1.9158 1140 1.8619 1131 1.8472 11764658491 1.8527
6 = 29 1414 2.3094 1414 2.3094 1406 2.2963 1407 2.2980 14509280677 2.2849
N 6 = 30 639 1.0436 643 1.0502 605 0.9881 608 0.9930 6740920718 1.0615
7 = 31 1223 1.9975 1226 2.0024 1162 1.8978 1184 1.9338 12379732192 1.9495
7 = 32 1432 2.3388 1433 2.3404 1334 2.1787 1347 2.2000 14970987161 2.3576
7 = 33 1749 2.8565 1744 2.8484 1705 2.7847 1685 2.7520 18071185110 2.8458
7 = 34 2054 3.3547 2054 3.3547 2050 3.3481 2093 3.4184 21830271641 3.4378
N 7 = 35 1104 1.8031 1094 1.7868 1137 1.8570 1092 1.7835 11424585988 1.7991
8 = 36 1581 2.5822 1586 2.5903 1653 2.6997 1651 2.6965 16339498138 2.5731
8 = 37 1932 3.1554 1938 3.1652 1863 3.0427 1877 3.0656 19709383181 3.1038
8 = 38 2333 3.8103 2312 3.7761 2338 3.8185 2325 3.7973 23605758352 3.7174
8 = 39 2701 4.4114 2708 4.4228 2672 4.3640 2681 4.3787 28085928185 4.4229
N 8 = 40 1595 2.6050 1612 2.6328 1497 2.4450 1512 2.4695 16270929517 2.5623
9 = 41 1651 2.6965 1633 2.6671 1677 2.7389 1669 2.7259 17610462720 2.7732
9 = 42 2012 3.2861 2025 3.3073 2013 3.2877 1968 3.2142 21330730539 3.3591
9 = 43 2490 4.0668 2487 4.0619 2495 4.0749 2509 4.0978 25409571822 4.0014
9 = 44 2912 4.7560 2926 4.7789 2914 4.7593 2912 4.7560 30048695498 4.7320
N 9 = 45 1889 3.0852 1864 3.0444 1917 3.1309 1942 3.1718 20125215758 3.1693
10 = 46 1423 2.3241 1442 2.3551 1479 2.4156 1480 2.4172 15180947336 2.3906
10 = 47 1718 2.8059 1722 2.8124 1857 3.0329 1856 3.0313 18360372398 2.8913
10 = 48 2065 3.3726 2067 3.3759 2103 3.4347 2080 3.3971 21797024413 3.4325
10 = 49 2444 3.9916 2439 3.9835 2409 3.9345 2405 3.9279 25500986557 4.0158
N 10 = 50 2244 3.6650 2255 3.6830 2171 3.5458 2182 3.5637 22971290435 3.6174
11 = 51 1010 1.6496 1013 1.6545 954 1.5581 945 1.5434 10149896990 1.5984
11 = 52 1124 1.8358 1137 1.8570 1134 1.8521 1119 1.8276 12077115810 1.9019
11 = 53 1297 2.1183 1292 2.1101 1357 2.2163 1370 2.2375 14119413033 2.2235
11 = 54 1545 2.5234 1528 2.4956 1609 2.6279 1642 2.6818 16390731570 2.5812
N 11 = 55 2141 3.4968 2146 3.5049 2183 3.5654 2152 3.5147 22941283147 3.6127
12 = 56 499 0.8150 488 0.7970 556 0.9081 570 0.9309 5500720419 0.8662
12 = 57 583 0.9522 571 0.9326 588 0.9603 602 0.9832 6227026988 0.9806
12 = 58 671 1.0959 666 1.0877 677 1.1057 667 1.0894 7033151127 1.1076
12 = 59 737 1.2037 750 1.2249 809 1.3213 815 1.3311 7852931458 1.2367
N 12 = 60 1748 2.8549 1755 2.8663 1834 2.9954 1851 3.0231 17849476370 2.8109
13 = 61 210 0.3430 207 0.3381 229 0.3740 219 0.3577 2037906651 0.3209
13 = 62 192 0.3136 196 0.3201 236 0.3854 233 0.3805 2187019556 0.3444
13 = 63 232 0.3789 228 0.3724 226 0.3691 229 0.3740 2314542960 0.3645
13 = 64 257 0.4197 253 0.4132 222 0.3626 213 0.3479 2451437963 0.3860
N 13 = 65 977 1.5957 977 1.5957 1041 1.7002 1045 1.7067 9913593383 1.5612
66 61228 41.8808 61228 41.8787 61228 42.1332 61228 42.1398 635013559600 42.0216

Value	North	South	West	East	Empirical
None = 0	1	0.0016	1	0.0016	0	0	0	0	1241472	0.0002
1 = 1	0	0	0	0	2	0.0033	2	0.0033	3239939	0.0005
1 = 2	4	0.0065	4	0.0065	3	0.0049	3	0.0049	9447300	0.0015
1 = 3	2	0.0033	2	0.0033	3	0.0049	3	0.0049	21574362	0.0034
1 = 4	8	0.0131	8	0.0131	3	0.0049	3	0.0049	42527988	0.0067
N 1 = 5	3	0.0049	2	0.0033	4	0.0065	3	0.0049	26388851	0.0042
2 = 6	8	0.0131	7	0.0114	7	0.0114	6	0.0098	84995416	0.0134
2 = 7	13	0.0212	15	0.0245	17	0.0278	15	0.0245	142224249	0.0224
2 = 8	24	0.0392	22	0.0359	25	0.0408	23	0.0376	231292299	0.0364
2 = 9	47	0.0768	46	0.0751	31	0.0506	35	0.0572	363266834	0.0572
N 2 = 10	14	0.0229	11	0.0180	10	0.0163	11	0.0180	127432564	0.0201
3 = 11	41	0.0670	48	0.0784	46	0.0751	49	0.0800	493076363	0.0776
3 = 12	80	0.1307	82	0.1339	66	0.1078	61	0.0996	693513539	0.1092
3 = 13	103	0.1682	102	0.1666	86	0.1405	87	0.1421	1000823292	0.1576
3 = 14	143	0.2336	148	0.2417	125	0.2042	135	0.2205	1395369165	0.2197
N 3 = 15	45	0.0735	52	0.0849	50	0.0817	49	0.0800	517057969	0.0814
4 = 16	159	0.2597	152	0.2483	168	0.2744	165	0.2695	1644254032	0.2589
4 = 17	208	0.3397	210	0.3430	215	0.3511	226	0.3691	2174377737	0.3424
4 = 18	270	0.4410	287	0.4687	274	0.4475	273	0.4459	2890268054	0.4552
4 = 19	401	0.6549	384	0.6272	397	0.6484	389	0.6353	3825111648	0.6024
N 4 = 20	153	0.2499	139	0.2270	151	0.2466	155	0.2532	1603391433	0.2525
5 = 21	426	0.6958	433	0.7072	386	0.6304	370	0.6043	3998705776	0.6297
5 = 22	497	0.8117	505	0.8248	498	0.8134	489	0.7987	5059967561	0.7968
5 = 23	653	1.0665	642	1.0485	627	1.0240	613	1.0012	6444920473	1.0149
5 = 24	795	1.2984	806	1.3164	814	1.3295	805	1.3148	8171172220	1.2868
N 5 = 25	397	0.6484	389	0.6353	375	0.6125	380	0.6206	3680646693	0.5796
6 = 26	806	1.3164	791	1.2919	716	1.1694	731	1.1939	7757580348	1.2216
6 = 27	953	1.5565	936	1.5287	877	1.4324	879	1.4356	9525027771	1.5000
6 = 28	1146	1.8717	1173	1.9158	1140	1.8619	1131	1.8472	11764658491	1.8527
6 = 29	1414	2.3094	1414	2.3094	1406	2.2963	1407	2.2980	14509280677	2.2849
N 6 = 30	639	1.0436	643	1.0502	605	0.9881	608	0.9930	6740920718	1.0615
7 = 31	1223	1.9975	1226	2.0024	1162	1.8978	1184	1.9338	12379732192	1.9495
7 = 32	1432	2.3388	1433	2.3404	1334	2.1787	1347	2.2000	14970987161	2.3576
7 = 33	1749	2.8565	1744	2.8484	1705	2.7847	1685	2.7520	18071185110	2.8458
7 = 34	2054	3.3547	2054	3.3547	2050	3.3481	2093	3.4184	21830271641	3.4378
N 7 = 35	1104	1.8031	1094	1.7868	1137	1.8570	1092	1.7835	11424585988	1.7991
8 = 36	1581	2.5822	1586	2.5903	1653	2.6997	1651	2.6965	16339498138	2.5731
8 = 37	1932	3.1554	1938	3.1652	1863	3.0427	1877	3.0656	19709383181	3.1038
8 = 38	2333	3.8103	2312	3.7761	2338	3.8185	2325	3.7973	23605758352	3.7174
8 = 39	2701	4.4114	2708	4.4228	2672	4.3640	2681	4.3787	28085928185	4.4229
N 8 = 40	1595	2.6050	1612	2.6328	1497	2.4450	1512	2.4695	16270929517	2.5623
9 = 41	1651	2.6965	1633	2.6671	1677	2.7389	1669	2.7259	17610462720	2.7732
9 = 42	2012	3.2861	2025	3.3073	2013	3.2877	1968	3.2142	21330730539	3.3591
9 = 43	2490	4.0668	2487	4.0619	2495	4.0749	2509	4.0978	25409571822	4.0014
9 = 44	2912	4.7560	2926	4.7789	2914	4.7593	2912	4.7560	30048695498	4.7320
N 9 = 45	1889	3.0852	1864	3.0444	1917	3.1309	1942	3.1718	20125215758	3.1693
10 = 46	1423	2.3241	1442	2.3551	1479	2.4156	1480	2.4172	15180947336	2.3906
10 = 47	1718	2.8059	1722	2.8124	1857	3.0329	1856	3.0313	18360372398	2.8913
10 = 48	2065	3.3726	2067	3.3759	2103	3.4347	2080	3.3971	21797024413	3.4325
10 = 49	2444	3.9916	2439	3.9835	2409	3.9345	2405	3.9279	25500986557	4.0158
N 10 = 50	2244	3.6650	2255	3.6830	2171	3.5458	2182	3.5637	22971290435	3.6174
11 = 51	1010	1.6496	1013	1.6545	954	1.5581	945	1.5434	10149896990	1.5984
11 = 52	1124	1.8358	1137	1.8570	1134	1.8521	1119	1.8276	12077115810	1.9019
11 = 53	1297	2.1183	1292	2.1101	1357	2.2163	1370	2.2375	14119413033	2.2235
11 = 54	1545	2.5234	1528	2.4956	1609	2.6279	1642	2.6818	16390731570	2.5812
N 11 = 55	2141	3.4968	2146	3.5049	2183	3.5654	2152	3.5147	22941283147	3.6127
12 = 56	499	0.8150	488	0.7970	556	0.9081	570	0.9309	5500720419	0.8662
12 = 57	583	0.9522	571	0.9326	588	0.9603	602	0.9832	6227026988	0.9806
12 = 58	671	1.0959	666	1.0877	677	1.1057	667	1.0894	7033151127	1.1076
12 = 59	737	1.2037	750	1.2249	809	1.3213	815	1.3311	7852931458	1.2367
N 12 = 60	1748	2.8549	1755	2.8663	1834	2.9954	1851	3.0231	17849476370	2.8109
13 = 61	210	0.3430	207	0.3381	229	0.3740	219	0.3577	2037906651	0.3209
13 = 62	192	0.3136	196	0.3201	236	0.3854	233	0.3805	2187019556	0.3444
13 = 63	232	0.3789	228	0.3724	226	0.3691	229	0.3740	2314542960	0.3645
13 = 64	257	0.4197	253	0.4132	222	0.3626	213	0.3479	2451437963	0.3860
N 13 = 65	977	1.5957	977	1.5957	1041	1.7002	1045	1.7067	9913593383	1.5612
66	61228	41.8808	61228	41.8787	61228	42.1332	61228	42.1398	635013559600	42.0216

Stats 8H30 Main Top RP BBO Matches

Best scoring make = B

Best scoring undoubled makable contract at double-dummy

Value North South West East Empirical
None = 0 11797 19.2673 11767 19.2183 11408 18.6320 11412 18.6385 119358998783 18.7963
1 = 1 1503 2.4548 1496 2.4433 1479 2.4156 1499 2.4482 15075437352 2.3740
1 = 2 1793 2.9284 1804 2.9464 1698 2.7732 1690 2.7602 17958650211 2.8281
1 = 3 2067 3.3759 2087 3.4086 1995 3.2583 2017 3.2942 21361994439 3.3640
1 = 4 2423 3.9573 2424 3.9590 2430 3.9688 2386 3.8969 25528480621 4.0201
1 N = 5 917 1.4977 909 1.4846 840 1.3719 864 1.4111 9154206126 1.4416
2 = 6 1772 2.8941 1774 2.8974 1867 3.0493 1866 3.0476 18791511418 2.9592
2 = 7 2129 3.4772 2154 3.5180 2033 3.3204 2041 3.3334 22088800625 3.4785
2 = 8 2507 4.0945 2514 4.1060 2556 4.1746 2532 4.1354 26002102208 4.0947
2 = 9 2956 4.8279 2932 4.7887 2912 4.7560 2932 4.7887 30496109913 4.8024
3 = 10 1407 2.2980 1395 2.2784 1422 2.3225 1428 2.3323 15168880833 2.3887
3 = 11 1602 2.6164 1618 2.6426 1729 2.8239 1693 2.7651 17647767441 2.7791
2 N = 12 2014 3.2893 1997 3.2616 1963 3.2060 1973 3.2224 21192170146 3.3373
4 = 13 818 1.3360 823 1.3442 822 1.3425 821 1.3409 8352078922 1.3153
4 = 14 969 1.5826 972 1.5875 1007 1.6447 1026 1.6757 10306791805 1.6231
3 = 15 2964 4.8409 2948 4.8148 2985 4.8752 3000 4.8997 30412174290 4.7892
3 = 16 3404 5.5595 3401 5.5546 3422 5.5889 3418 5.5824 35369266210 5.5698
3 N = 17 2029 3.3138 2060 3.3645 2084 3.4037 2069 3.3792 21621810315 3.4049
5 = 18 447 0.7301 454 0.7415 443 0.7235 449 0.7333 4918954504 0.7746
5 = 19 576 0.9407 573 0.9358 582 0.9505 595 0.9718 6307419874 0.9933
4 = 20 2318 3.7858 2333 3.8103 2302 3.7597 2306 3.7663 24619813919 3.8771
4 = 21 2843 4.6433 2835 4.6302 2776 4.5339 2769 4.5224 28756868129 4.5285
4 N = 22 1877 3.0656 1853 3.0264 1886 3.0803 1862 3.0411 19299318906 3.0392
5 = 23 1339 2.1869 1346 2.1983 1344 2.1951 1339 2.1869 14305376462 2.2528
5 = 24 1558 2.5446 1583 2.5854 1717 2.8043 1708 2.7896 16882127404 2.6585
5 N = 25 1172 1.9142 1159 1.8929 1221 1.9942 1221 1.9942 12637216524 1.9901
6 = 26 398 0.6500 391 0.6386 436 0.7121 428 0.6990 4042066459 0.6365
6 = 27 444 0.7252 451 0.7366 488 0.7970 496 0.8101 4996576787 0.7868
6 = 28 599 0.9783 600 0.9799 628 1.0257 623 1.0175 6084938998 0.9582
6 = 29 715 1.1678 701 1.1449 725 1.1841 738 1.2053 7241748711 1.1404
6 N = 30 989 1.6153 1002 1.6365 1029 1.6806 1036 1.6920 9797000990 1.5428
7 = 31 87 0.1421 80 0.1307 109 0.1780 108 0.1764 950467974 0.1497
7 = 32 95 0.1552 93 0.1519 111 0.1813 107 0.1748 1125576093 0.1773
7 = 33 117 0.1911 120 0.1960 141 0.2303 141 0.2303 1297292873 0.2043
7 = 34 136 0.2221 133 0.2172 147 0.2401 143 0.2336 1491113912 0.2348
7 N = 35 447 0.7301 446 0.7284 491 0.8019 492 0.8036 4372449423 0.6886
36 61228 11.3421 61228 11.3433 61228 11.5742 61228 11.5680 635013559600 11.4347

Value	North	South	West	East	Empirical
None = 0	11797	19.2673	11767	19.2183	11408	18.6320	11412	18.6385	119358998783	18.7963
1 = 1	1503	2.4548	1496	2.4433	1479	2.4156	1499	2.4482	15075437352	2.3740
1 = 2	1793	2.9284	1804	2.9464	1698	2.7732	1690	2.7602	17958650211	2.8281
1 = 3	2067	3.3759	2087	3.4086	1995	3.2583	2017	3.2942	21361994439	3.3640
1 = 4	2423	3.9573	2424	3.9590	2430	3.9688	2386	3.8969	25528480621	4.0201
1 N = 5	917	1.4977	909	1.4846	840	1.3719	864	1.4111	9154206126	1.4416
2 = 6	1772	2.8941	1774	2.8974	1867	3.0493	1866	3.0476	18791511418	2.9592
2 = 7	2129	3.4772	2154	3.5180	2033	3.3204	2041	3.3334	22088800625	3.4785
2 = 8	2507	4.0945	2514	4.1060	2556	4.1746	2532	4.1354	26002102208	4.0947
2 = 9	2956	4.8279	2932	4.7887	2912	4.7560	2932	4.7887	30496109913	4.8024
3 = 10	1407	2.2980	1395	2.2784	1422	2.3225	1428	2.3323	15168880833	2.3887
3 = 11	1602	2.6164	1618	2.6426	1729	2.8239	1693	2.7651	17647767441	2.7791
2 N = 12	2014	3.2893	1997	3.2616	1963	3.2060	1973	3.2224	21192170146	3.3373
4 = 13	818	1.3360	823	1.3442	822	1.3425	821	1.3409	8352078922	1.3153
4 = 14	969	1.5826	972	1.5875	1007	1.6447	1026	1.6757	10306791805	1.6231
3 = 15	2964	4.8409	2948	4.8148	2985	4.8752	3000	4.8997	30412174290	4.7892
3 = 16	3404	5.5595	3401	5.5546	3422	5.5889	3418	5.5824	35369266210	5.5698
3 N = 17	2029	3.3138	2060	3.3645	2084	3.4037	2069	3.3792	21621810315	3.4049
5 = 18	447	0.7301	454	0.7415	443	0.7235	449	0.7333	4918954504	0.7746
5 = 19	576	0.9407	573	0.9358	582	0.9505	595	0.9718	6307419874	0.9933
4 = 20	2318	3.7858	2333	3.8103	2302	3.7597	2306	3.7663	24619813919	3.8771
4 = 21	2843	4.6433	2835	4.6302	2776	4.5339	2769	4.5224	28756868129	4.5285
4 N = 22	1877	3.0656	1853	3.0264	1886	3.0803	1862	3.0411	19299318906	3.0392
5 = 23	1339	2.1869	1346	2.1983	1344	2.1951	1339	2.1869	14305376462	2.2528
5 = 24	1558	2.5446	1583	2.5854	1717	2.8043	1708	2.7896	16882127404	2.6585
5 N = 25	1172	1.9142	1159	1.8929	1221	1.9942	1221	1.9942	12637216524	1.9901
6 = 26	398	0.6500	391	0.6386	436	0.7121	428	0.6990	4042066459	0.6365
6 = 27	444	0.7252	451	0.7366	488	0.7970	496	0.8101	4996576787	0.7868
6 = 28	599	0.9783	600	0.9799	628	1.0257	623	1.0175	6084938998	0.9582
6 = 29	715	1.1678	701	1.1449	725	1.1841	738	1.2053	7241748711	1.1404
6 N = 30	989	1.6153	1002	1.6365	1029	1.6806	1036	1.6920	9797000990	1.5428
7 = 31	87	0.1421	80	0.1307	109	0.1780	108	0.1764	950467974	0.1497
7 = 32	95	0.1552	93	0.1519	111	0.1813	107	0.1748	1125576093	0.1773
7 = 33	117	0.1911	120	0.1960	141	0.2303	141	0.2303	1297292873	0.2043
7 = 34	136	0.2221	133	0.2172	147	0.2401	143	0.2336	1491113912	0.2348
7 N = 35	447	0.7301	446	0.7284	491	0.8019	492	0.8036	4372449423	0.6886
36	61228	11.3421	61228	11.3433	61228	11.5742	61228	11.5680	635013559600	11.4347

Stats 8H30 Main Top RP BBO Matches

Par None vul

Par scores if neither side is vulnerable
(25 of 38 valid par scores possible)

Score North-South Plus West-East Plus Absolute Times
0 = 0 0 0 0 0 0 0
70 = 1 2 0.0066 4 0.0130 6 0.0098
80 = 2 76 0.2502 74 0.2398 150 0.2450
90 = 3 952 3.1346 905 2.9329 1857 3.0329
100 = 4 4903 16.1437 4916 15.9316 9819 16.0368
110 = 5 1331 4.3825 1346 4.3621 2677 4.3722
120 = 6 1244 4.0960 1191 3.8597 2435 3.9769
130 = 7 1180 3.8853 1202 3.8954 2382 3.8904
140 = 8 3313 10.9084 3389 10.9829 6702 10.9460
300 = 10 1659 5.4624 1580 5.1204 3239 5.2901
400 = 11 2455 8.0834 2440 7.9074 4895 7.9947
420 = 12 3357 11.0533 3441 11.1514 6798 11.1028
430 = 13 1864 6.1374 1889 6.1218 3753 6.1295
450 = 14 2671 8.7946 2787 9.0320 5458 8.9142
460 = 15 1222 4.0236 1275 4.1320 2497 4.0782
500 = 16 142 0.4676 119 0.3856 261 0.4263
800 = 22 287 0.9450 284 0.9204 571 0.9326
920 = 23 663 2.1830 728 2.3593 1391 2.2718
980 = 24 1093 3.5988 1168 3.7852 2261 3.6928
990 = 25 1088 3.5824 1126 3.6491 2214 3.6160
1100 = 26 20 0.0659 32 0.1037 52 0.0849
1400 = 28 27 0.0889 40 0.1296 67 0.1094
1440 = 30 135 0.4445 162 0.5250 297 0.4851
1510 = 31 238 0.7836 264 0.8556 502 0.8199
1520 = 32 449 1.4784 495 1.6042 944 1.5418
25 30371 11.1843 30857 11.3582 61228 11.2719

Score	North-South Plus	West-East Plus	Absolute Times
0 = 0	0	0	0	0	0	0
70 = 1	2	0.0066	4	0.0130	6	0.0098
80 = 2	76	0.2502	74	0.2398	150	0.2450
90 = 3	952	3.1346	905	2.9329	1857	3.0329
100 = 4	4903	16.1437	4916	15.9316	9819	16.0368
110 = 5	1331	4.3825	1346	4.3621	2677	4.3722
120 = 6	1244	4.0960	1191	3.8597	2435	3.9769
130 = 7	1180	3.8853	1202	3.8954	2382	3.8904
140 = 8	3313	10.9084	3389	10.9829	6702	10.9460
300 = 10	1659	5.4624	1580	5.1204	3239	5.2901
400 = 11	2455	8.0834	2440	7.9074	4895	7.9947
420 = 12	3357	11.0533	3441	11.1514	6798	11.1028
430 = 13	1864	6.1374	1889	6.1218	3753	6.1295
450 = 14	2671	8.7946	2787	9.0320	5458	8.9142
460 = 15	1222	4.0236	1275	4.1320	2497	4.0782
500 = 16	142	0.4676	119	0.3856	261	0.4263
800 = 22	287	0.9450	284	0.9204	571	0.9326
920 = 23	663	2.1830	728	2.3593	1391	2.2718
980 = 24	1093	3.5988	1168	3.7852	2261	3.6928
990 = 25	1088	3.5824	1126	3.6491	2214	3.6160
1100 = 26	20	0.0659	32	0.1037	52	0.0849
1400 = 28	27	0.0889	40	0.1296	67	0.1094
1440 = 30	135	0.4445	162	0.5250	297	0.4851
1510 = 31	238	0.7836	264	0.8556	502	0.8199
1520 = 32	449	1.4784	495	1.6042	944	1.5418
25	30371	11.1843	30857	11.3582	61228	11.2719

Stats 8H30 Main Top RP BBO Matches

Par N-S vul

Par scores if only N-S are vulnerable
(All 38 valid par scores possible)

Score North-South Plus West-East Plus Absolute Times
0 = 0 0 0 0 0 0 0
70 = 1 2 0.0066 4 0.0130 6 0.0098
80 = 2 76 0.2502 74 0.2398 150 0.2450
90 = 3 952 3.1346 905 2.9329 1857 3.0329
100 = 4 4903 16.1437 0 0 4903 8.0078
110 = 5 1331 4.3825 3247 10.5227 4578 7.4770
120 = 6 1244 4.0960 1639 5.3116 2883 4.7086
130 = 7 1180 3.8853 1531 4.9616 2711 4.4277
140 = 8 3313 10.9084 4784 15.5038 8097 13.2243
200 = 9 0 0 843 2.7320 843 1.3768
300 = 10 1659 5.4624 0 0 1659 2.7095
400 = 11 0 0 2890 9.3658 2890 4.7201
420 = 12 0 0 4265 13.8218 4265 6.9658
430 = 13 0 0 1958 6.3454 1958 3.1979
450 = 14 0 0 2980 9.6575 2980 4.8671
460 = 15 0 0 1285 4.1644 1285 2.0987
500 = 16 2604 8.5740 34 0.1102 2638 4.3085
600 = 17 1708 5.6238 0 0 1708 2.7896
620 = 18 2236 7.3623 0 0 2236 3.6519
630 = 19 1671 5.5020 0 0 1671 2.7291
650 = 20 2300 7.5730 0 0 2300 3.7565
660 = 21 1192 3.9248 0 0 1192 1.9468
800 = 22 287 0.9450 119 0.3856 406 0.6631
920 = 23 0 0 856 2.7741 856 1.3981
980 = 24 0 0 1297 4.2033 1297 2.1183
990 = 25 0 0 1141 3.6977 1141 1.8635
1100 = 26 464 1.5278 12 0.0389 476 0.7774
1370 = 27 495 1.6298 0 0 495 0.8085
1400 = 28 422 1.3895 32 0.1037 454 0.7415
1430 = 29 586 1.9295 0 0 586 0.9571
1440 = 30 924 3.0424 190 0.6157 1114 1.8194
1510 = 31 0 0 276 0.8944 276 0.4508
1520 = 32 0 0 495 1.6042 495 0.8085
1700 = 33 49 0.1613 0 0 49 0.0800
2000 = 34 49 0.1613 0 0 49 0.0800
2140 = 35 69 0.2272 0 0 69 0.1127
2210 = 36 206 0.6783 0 0 206 0.3364
2220 = 37 449 1.4784 0 0 449 0.7333
38 30371 13.8232 30857 11.9499 61228 12.8791

Score	North-South Plus	West-East Plus	Absolute Times
0 = 0	0	0	0	0	0	0
70 = 1	2	0.0066	4	0.0130	6	0.0098
80 = 2	76	0.2502	74	0.2398	150	0.2450
90 = 3	952	3.1346	905	2.9329	1857	3.0329
100 = 4	4903	16.1437	0	0	4903	8.0078
110 = 5	1331	4.3825	3247	10.5227	4578	7.4770
120 = 6	1244	4.0960	1639	5.3116	2883	4.7086
130 = 7	1180	3.8853	1531	4.9616	2711	4.4277
140 = 8	3313	10.9084	4784	15.5038	8097	13.2243
200 = 9	0	0	843	2.7320	843	1.3768
300 = 10	1659	5.4624	0	0	1659	2.7095
400 = 11	0	0	2890	9.3658	2890	4.7201
420 = 12	0	0	4265	13.8218	4265	6.9658
430 = 13	0	0	1958	6.3454	1958	3.1979
450 = 14	0	0	2980	9.6575	2980	4.8671
460 = 15	0	0	1285	4.1644	1285	2.0987
500 = 16	2604	8.5740	34	0.1102	2638	4.3085
600 = 17	1708	5.6238	0	0	1708	2.7896
620 = 18	2236	7.3623	0	0	2236	3.6519
630 = 19	1671	5.5020	0	0	1671	2.7291
650 = 20	2300	7.5730	0	0	2300	3.7565
660 = 21	1192	3.9248	0	0	1192	1.9468
800 = 22	287	0.9450	119	0.3856	406	0.6631
920 = 23	0	0	856	2.7741	856	1.3981
980 = 24	0	0	1297	4.2033	1297	2.1183
990 = 25	0	0	1141	3.6977	1141	1.8635
1100 = 26	464	1.5278	12	0.0389	476	0.7774
1370 = 27	495	1.6298	0	0	495	0.8085
1400 = 28	422	1.3895	32	0.1037	454	0.7415
1430 = 29	586	1.9295	0	0	586	0.9571
1440 = 30	924	3.0424	190	0.6157	1114	1.8194
1510 = 31	0	0	276	0.8944	276	0.4508
1520 = 32	0	0	495	1.6042	495	0.8085
1700 = 33	49	0.1613	0	0	49	0.0800
2000 = 34	49	0.1613	0	0	49	0.0800
2140 = 35	69	0.2272	0	0	69	0.1127
2210 = 36	206	0.6783	0	0	206	0.3364
2220 = 37	449	1.4784	0	0	449	0.7333
38	30371	13.8232	30857	11.9499	61228	12.8791

Stats 8H30 Main Top RP BBO Matches

Par E-W vul

Par scores if only E-W are vulnerable
(All 38 valid par scores possible)

Score North-South Plus West-East Plus Absolute Times
0 = 0 0 0 0 0 0 0
70 = 1 2 0.0066 4 0.0130 6 0.0098
80 = 2 76 0.2502 74 0.2398 150 0.2450
90 = 3 952 3.1346 905 2.9329 1857 3.0329
100 = 4 0 0 4916 15.9316 4916 8.0290
110 = 5 3251 10.7043 1346 4.3621 4597 7.5080
120 = 6 1694 5.5777 1191 3.8597 2885 4.7119
130 = 7 1483 4.8829 1202 3.8954 2685 4.3852
140 = 8 4713 15.5181 3389 10.9829 8102 13.2325
200 = 9 830 2.7329 0 0 830 1.3556
300 = 10 0 0 1580 5.1204 1580 2.5805
400 = 11 2879 9.4794 0 0 2879 4.7021
420 = 12 4289 14.1220 0 0 4289 7.0050
430 = 13 1948 6.4140 0 0 1948 3.1816
450 = 14 2842 9.3576 0 0 2842 4.6417
460 = 15 1230 4.0499 0 0 1230 2.0089
500 = 16 40 0.1317 2640 8.5556 2680 4.3771
600 = 17 0 0 1665 5.3959 1665 2.7193
620 = 18 0 0 2292 7.4278 2292 3.7434
630 = 19 0 0 1719 5.5709 1719 2.8075
650 = 20 0 0 2398 7.7713 2398 3.9165
660 = 21 0 0 1237 4.0088 1237 2.0203
800 = 22 142 0.4676 284 0.9204 426 0.6958
920 = 23 771 2.5386 0 0 771 1.2592
980 = 24 1245 4.0993 0 0 1245 2.0334
990 = 25 1102 3.6285 0 0 1102 1.7998
1100 = 26 13 0.0428 457 1.4810 470 0.7676
1370 = 27 0 0 561 1.8181 561 0.9162
1400 = 28 20 0.0659 439 1.4227 459 0.7497
1430 = 29 0 0 679 2.2005 679 1.1090
1440 = 30 155 0.5104 958 3.1046 1113 1.8178
1510 = 31 245 0.8067 0 0 245 0.4001
1520 = 32 449 1.4784 0 0 449 0.7333
1700 = 33 0 0 52 0.1685 52 0.0849
2000 = 34 0 0 52 0.1685 52 0.0849
2140 = 35 0 0 86 0.2787 86 0.1405
2210 = 36 0 0 236 0.7648 236 0.3854
2220 = 37 0 0 495 1.6042 495 0.8085
38 30371 11.7915 30857 14.0466 61228 12.9280

Score	North-South Plus	West-East Plus	Absolute Times
0 = 0	0	0	0	0	0	0
70 = 1	2	0.0066	4	0.0130	6	0.0098
80 = 2	76	0.2502	74	0.2398	150	0.2450
90 = 3	952	3.1346	905	2.9329	1857	3.0329
100 = 4	0	0	4916	15.9316	4916	8.0290
110 = 5	3251	10.7043	1346	4.3621	4597	7.5080
120 = 6	1694	5.5777	1191	3.8597	2885	4.7119
130 = 7	1483	4.8829	1202	3.8954	2685	4.3852
140 = 8	4713	15.5181	3389	10.9829	8102	13.2325
200 = 9	830	2.7329	0	0	830	1.3556
300 = 10	0	0	1580	5.1204	1580	2.5805
400 = 11	2879	9.4794	0	0	2879	4.7021
420 = 12	4289	14.1220	0	0	4289	7.0050
430 = 13	1948	6.4140	0	0	1948	3.1816
450 = 14	2842	9.3576	0	0	2842	4.6417
460 = 15	1230	4.0499	0	0	1230	2.0089
500 = 16	40	0.1317	2640	8.5556	2680	4.3771
600 = 17	0	0	1665	5.3959	1665	2.7193
620 = 18	0	0	2292	7.4278	2292	3.7434
630 = 19	0	0	1719	5.5709	1719	2.8075
650 = 20	0	0	2398	7.7713	2398	3.9165
660 = 21	0	0	1237	4.0088	1237	2.0203
800 = 22	142	0.4676	284	0.9204	426	0.6958
920 = 23	771	2.5386	0	0	771	1.2592
980 = 24	1245	4.0993	0	0	1245	2.0334
990 = 25	1102	3.6285	0	0	1102	1.7998
1100 = 26	13	0.0428	457	1.4810	470	0.7676
1370 = 27	0	0	561	1.8181	561	0.9162
1400 = 28	20	0.0659	439	1.4227	459	0.7497
1430 = 29	0	0	679	2.2005	679	1.1090
1440 = 30	155	0.5104	958	3.1046	1113	1.8178
1510 = 31	245	0.8067	0	0	245	0.4001
1520 = 32	449	1.4784	0	0	449	0.7333
1700 = 33	0	0	52	0.1685	52	0.0849
2000 = 34	0	0	52	0.1685	52	0.0849
2140 = 35	0	0	86	0.2787	86	0.1405
2210 = 36	0	0	236	0.7648	236	0.3854
2220 = 37	0	0	495	1.6042	495	0.8085
38	30371	11.7915	30857	14.0466	61228	12.9280

Stats 8H30 Main Top RP BBO Matches

Par Both vul

Par scores if both sides are vulnerable
(26 of 38 valid par scores possible)

Score North-South Plus West-East Plus Absolute Times
0 = 0 0 0 0 0 0 0
70 = 1 2 0.0066 4 0.0130 6 0.0098
80 = 2 76 0.2502 74 0.2398 150 0.2450
90 = 3 952 3.1346 905 2.9329 1857 3.0329
110 = 5 3251 10.7043 3247 10.5227 6498 10.6128
120 = 6 1694 5.5777 1639 5.3116 3333 5.4436
130 = 7 1483 4.8829 1531 4.9616 3014 4.9226
140 = 8 4713 15.5181 4784 15.5038 9497 15.5109
200 = 9 830 2.7329 843 2.7320 1673 2.7324
500 = 16 1659 5.4624 1580 5.1204 3239 5.2901
600 = 17 2455 8.0834 2440 7.9074 4895 7.9947
620 = 18 3357 11.0533 3441 11.1514 6798 11.1028
630 = 19 1864 6.1374 1889 6.1218 3753 6.1295
650 = 20 2671 8.7946 2787 9.0320 5458 8.9142
660 = 21 1222 4.0236 1275 4.1320 2497 4.0782
800 = 22 142 0.4676 119 0.3856 261 0.4263
1100 = 26 287 0.9450 284 0.9204 571 0.9326
1370 = 27 663 2.1830 728 2.3593 1391 2.2718
1400 = 28 296 0.9746 290 0.9398 586 0.9571
1430 = 29 865 2.8481 961 3.1144 1826 2.9823
1440 = 30 1040 3.4243 1075 3.4838 2115 3.4543
1700 = 33 27 0.0889 40 0.1296 67 0.1094
2000 = 34 49 0.1613 52 0.1685 101 0.1650
2140 = 35 97 0.3194 122 0.3954 219 0.3577
2210 = 36 227 0.7474 252 0.8167 479 0.7823
2220 = 37 449 1.4784 495 1.6042 944 1.5418
26 30371 14.8821 30857 15.0779 61228 14.9808

Score	North-South Plus	West-East Plus	Absolute Times
0 = 0	0	0	0	0	0	0
70 = 1	2	0.0066	4	0.0130	6	0.0098
80 = 2	76	0.2502	74	0.2398	150	0.2450
90 = 3	952	3.1346	905	2.9329	1857	3.0329
110 = 5	3251	10.7043	3247	10.5227	6498	10.6128
120 = 6	1694	5.5777	1639	5.3116	3333	5.4436
130 = 7	1483	4.8829	1531	4.9616	3014	4.9226
140 = 8	4713	15.5181	4784	15.5038	9497	15.5109
200 = 9	830	2.7329	843	2.7320	1673	2.7324
500 = 16	1659	5.4624	1580	5.1204	3239	5.2901
600 = 17	2455	8.0834	2440	7.9074	4895	7.9947
620 = 18	3357	11.0533	3441	11.1514	6798	11.1028
630 = 19	1864	6.1374	1889	6.1218	3753	6.1295
650 = 20	2671	8.7946	2787	9.0320	5458	8.9142
660 = 21	1222	4.0236	1275	4.1320	2497	4.0782
800 = 22	142	0.4676	119	0.3856	261	0.4263
1100 = 26	287	0.9450	284	0.9204	571	0.9326
1370 = 27	663	2.1830	728	2.3593	1391	2.2718
1400 = 28	296	0.9746	290	0.9398	586	0.9571
1430 = 29	865	2.8481	961	3.1144	1826	2.9823
1440 = 30	1040	3.4243	1075	3.4838	2115	3.4543
1700 = 33	27	0.0889	40	0.1296	67	0.1094
2000 = 34	49	0.1613	52	0.1685	101	0.1650
2140 = 35	97	0.3194	122	0.3954	219	0.3577
2210 = 36	227	0.7474	252	0.8167	479	0.7823
2220 = 37	449	1.4784	495	1.6042	944	1.5418
26	30371	14.8821	30857	15.0779	61228	14.9808

Stats 8H30 Main Top RP BBO Matches

LoTT 14 trumps

Total tricks with 14 total trumps in four cases:
1. Longest* fit declared by longer** hand
2. Longest* fit always right-sided
3. Best producing fit declared by longer** hand
4. Best producing fit always right-sided
*with equal-length the more productive fit is chosen
**or stronger hand with equal length

Tricks Longest by Longer Longest Right-sided Best Fit by Longer Best Fit Right-sided
9 1 0.0153 1 0.0153 0 0 0 0
10 0 0 0 0 0 0 0 0
11 1 0.0153 1 0.0153 0 0 0 0
12 22 0.3357 16 0.2441 6 0.0915 3 0.0458
13 682 10.4059 527 8.0409 607 9.2615 453 6.9118
14 3328 50.7782 3204 48.8862 3358 51.2359 3225 49.2066
15 2099 32.0262 2313 35.2914 2144 32.7128 2359 35.9933
16 368 5.6149 433 6.6067 377 5.7522 446 6.8050
17 47 0.7171 53 0.8087 52 0.7934 57 0.8697
18 3 0.0458 3 0.0458 6 0.0915 7 0.1068
19 2 0.0305 2 0.0305 3 0.0458 2 0.0305
20 1 0.0153 1 0.0153 1 0.0153 2 0.0305
12 6554 14.3464 6554 14.4271 6554 14.3784 6554 14.4597

Stats 8H30 Main Top RP BBO Matches

LoTT 15 trumps

As previous but with 15 total trumps

Tricks Longest by Longer Longest Right-sided Best Fit by Longer Best Fit Right-sided
11 3 0.0464 2 0.0310 0 0 0 0
12 7 0.1084 7 0.1084 0 0 0 0
13 72 1.1147 49 0.7586 59 0.9135 36 0.5574
14 986 15.2655 844 13.0670 983 15.2191 844 13.0670
15 3119 48.2892 3075 47.6080 3134 48.5214 3085 47.7628
16 1911 29.5866 2078 32.1722 1915 29.6486 2081 32.2186
17 315 4.8769 353 5.4652 318 4.9234 357 5.5272
18 42 0.6503 46 0.7122 45 0.6967 50 0.7741
19 3 0.0464 3 0.0464 4 0.0619 4 0.0619
20 1 0.0155 1 0.0155 1 0.0155 1 0.0155
21 0 0 1 0.0155 0 0 1 0.0155
11 6459 15.2355 6459 15.3056 6459 15.2486 6459 15.3183

Stats 8H30 Main Top RP BBO Matches

LoTT 16 trumps

As previous but with 16 total trumps

Tricks Longest by Longer Longest Right-sided Best Fit by Longer Best Fit Right-sided
5 1 0.0061 1 0.0061 0 0 0 0
6 2 0.0123 2 0.0123 0 0 0 0
7 1 0.0061 1 0.0061 0 0 0 0
8 3 0.0184 2 0.0123 0 0 0 0
9 1 0.0061 2 0.0123 0 0 0 0
10 7 0.0430 7 0.0430 0 0 0 0
11 7 0.0430 6 0.0368 0 0 0 0
12 17 0.1043 17 0.1043 0 0 0 0
13 100 0.6136 84 0.5154 22 0.1350 14 0.0859
14 652 4.0007 564 3.4608 472 2.8962 386 2.3685
15 3356 20.5927 3099 19.0158 3288 20.1755 3000 18.4083
16 6866 42.1305 6875 42.1857 7052 43.2718 7061 43.3270
17 4138 25.3912 4366 26.7902 4259 26.1336 4496 27.5879
18 983 6.0318 1079 6.6209 1029 6.3140 1135 6.9645
19 143 0.8775 170 1.0431 151 0.9266 177 1.0861
20 18 0.1104 20 0.1227 21 0.1289 25 0.1534
21 1 0.0061 1 0.0061 1 0.0061 1 0.0061
22 1 0.0061 1 0.0061 2 0.0123 2 0.0123
18 16297 16.0884 16297 16.1495 16297 16.1579 16297 16.2209

Stats 8H30 Main Top RP BBO Matches

LoTT 17 trumps

As previous but with 17 total trumps

Tricks Longest by Longer Longest Right-sided Best Fit by Longer Best Fit Right-sided
3 1 0.0071 1 0.0071 0 0 0 0
4 1 0.0071 1 0.0071 0 0 0 0
5 0 0 0 0 0 0 0 0
6 0 0 0 0 0 0 0 0
7 0 0 0 0 0 0 0 0
8 2 0.0142 2 0.0142 0 0 0 0
9 2 0.0142 2 0.0142 0 0 0 0
10 5 0.0354 5 0.0354 0 0 0 0
11 5 0.0354 5 0.0354 0 0 0 0
12 7 0.0496 4 0.0283 0 0 0 0
13 14 0.0992 15 0.1063 1 0.0071 1 0.0071
14 76 0.5385 62 0.4393 41 0.2905 29 0.2055
15 699 4.9532 614 4.3509 628 4.4501 542 3.8407
16 3271 23.1789 3060 21.6837 3230 22.8883 3009 21.3223
17 5480 38.8322 5488 38.8889 5569 39.4629 5574 39.4983
18 3546 25.1276 3758 26.6298 3612 25.5952 3829 27.1329
19 880 6.2358 958 6.7885 898 6.3634 981 6.9515
20 121 0.8574 133 0.9425 129 0.9141 141 0.9991
21 1 0.0071 3 0.0213 2 0.0142 4 0.0283
22 1 0.0071 1 0.0071 2 0.0142 2 0.0142
20 14112 17.0400 14112 17.0999 14112 17.0850 14112 17.1457

Stats 8H30 Main Top RP BBO Matches

LoTT 18 trumps

As previous but with 18 total trumps

Tricks Longest by Longer Longest Right-sided Best Fit by Longer Best Fit Right-sided
5 1 0.0104 1 0.0104 0 0 0 0
6 0 0 0 0 0 0 0 0
7 1 0.0104 1 0.0104 0 0 0 0
8 0 0 0 0 0 0 0 0
9 1 0.0104 1 0.0104 0 0 0 0
10 1 0.0104 1 0.0104 0 0 0 0
11 0 0 0 0 0 0 0 0
12 9 0.0940 8 0.0836 0 0 0 0
13 8 0.0836 9 0.0940 1 0.0104 1 0.0104
14 6 0.0627 6 0.0627 10 0.1045 10 0.1045
15 54 0.5641 47 0.4910 45 0.4701 40 0.4179
16 710 7.4175 642 6.7071 649 6.7802 583 6.0907
17 2340 24.4463 2238 23.3807 2282 23.8404 2172 22.6912
18 3360 35.1024 3365 35.1546 3416 35.6874 3423 35.7606
19 2228 23.2762 2329 24.3314 2280 23.8195 2373 24.7911
20 708 7.3966 761 7.9503 736 7.6891 799 8.3473
21 127 1.3268 139 1.4522 131 1.3686 144 1.5044
22 15 0.1567 20 0.2089 19 0.1985 23 0.2403
23 3 0.0313 4 0.0418 3 0.0313 4 0.0418
19 9572 18.0020 9572 18.0571 9572 18.0497 9572 18.1057

Stats 8H30 Main Top RP BBO Matches

LoTT 19 trumps

As previous but with 19 total trumps

Tricks Longest by Longer Longest Right-sided Best Fit by Longer Best Fit Right-sided
6 1 0.0193 1 0.0193 0 0 0 0
7 1 0.0193 1 0.0193 0 0 0 0
8 0 0 0 0 0 0 0 0
9 0 0 0 0 0 0 0 0
10 2 0.0386 1 0.0193 0 0 0 0
11 1 0.0193 2 0.0386 0 0 0 0
12 4 0.0772 4 0.0772 0 0 0 0
13 5 0.0965 5 0.0965 0 0 0 0
14 3 0.0579 3 0.0579 2 0.0386 2 0.0386
15 3 0.0579 3 0.0579 5 0.0965 5 0.0965
16 74 1.4283 60 1.1581 65 1.2546 54 1.0423
17 578 11.1561 547 10.5578 530 10.2297 493 9.5155
18 1466 28.2957 1424 27.4850 1466 28.2957 1417 27.3499
19 1713 33.0631 1727 33.3333 1730 33.3912 1749 33.7580
20 989 19.0890 1036 19.9961 1030 19.8803 1076 20.7682
21 297 5.7325 313 6.0413 305 5.8869 326 6.2922
22 40 0.7721 50 0.9651 44 0.8493 55 1.0616
23 4 0.0772 3 0.0579 4 0.0772 3 0.0579
24 0 0 1 0.0193 0 0 1 0.0193
19 5181 18.7566 5181 18.8062 5181 18.8141 5181 18.8678

Stats 8H30 Main Top RP BBO Matches

LoTT 20 trumps

As previous but with 20 total trumps

Tricks Longest by Longer Longest Right-sided Best Fit by Longer Best Fit Right-sided
12 1 0.0478 1 0.0478 0 0 0 0
13 1 0.0478 1 0.0478 0 0 0 0
14 2 0.0955 2 0.0955 0 0 0 0
15 1 0.0478 1 0.0478 3 0.1433 3 0.1433
16 3 0.1433 1 0.0478 0 0 0 0
17 73 3.4862 66 3.1519 63 3.0086 52 2.4833
18 343 16.3801 330 15.7593 324 15.4728 314 14.9952
19 673 32.1394 658 31.4231 677 32.3305 660 31.5186
20 611 29.1786 627 29.9427 620 29.6084 636 30.3725
21 287 13.7058 291 13.8968 299 14.2789 306 14.6132
22 85 4.0592 98 4.6800 92 4.3935 103 4.9188
23 13 0.6208 17 0.8118 15 0.7163 19 0.9074
24 1 0.0478 1 0.0478 1 0.0478 1 0.0478
13 2094 19.4642 2094 19.5177 2094 19.5239 2094 19.5769

Stats 8H30 Main Top RP BBO Matches

LoTT 21 trumps

As previous but with 21 total trumps

Tricks Longest by Longer Longest Right-sided Best Fit by Longer Best Fit Right-sided
17 4 0.5579 1 0.1395 2 0.2789 1 0.1395
18 52 7.2524 52 7.2524 48 6.6946 46 6.4156
19 182 25.3835 181 25.2441 182 25.3835 181 25.2441
20 230 32.0781 227 31.6597 228 31.7992 224 31.2413
21 168 23.4310 164 22.8731 171 23.8494 167 23.2915
22 59 8.2287 69 9.6234 58 8.0893 69 9.6234
23 21 2.9289 22 3.0683 26 3.6262 27 3.7657
24 1 0.1395 1 0.1395 2 0.2789 2 0.2789
8 717 20.0767 717 20.1172 717 20.1241 717 20.1646

Stats 8H30 Main Top RP BBO Matches

LoTT 22 trumps

As previous but with 22 total trumps

Tricks Longest by Longer Longest Right-sided Best Fit by Longer Best Fit Right-sided
17 1 0.4878 1 0.4878 1 0.4878 1 0.4878
18 6 2.9268 6 2.9268 4 1.9512 4 1.9512
19 29 14.1463 28 13.6585 27 13.1707 26 12.6829
20 66 32.1951 63 30.7317 69 33.6585 65 31.7073
21 58 28.2927 61 29.7561 58 28.2927 62 30.2439
22 26 12.6829 27 13.1707 27 13.1707 28 13.6585
23 14 6.8293 14 6.8293 14 6.8293 14 6.8293
24 5 2.4390 4 1.9512 5 2.4390 4 1.9512
25 0 0 1 0.4878 0 0 1 0.4878
9 205 20.6244 205 20.6585 205 20.6634 205 20.7024

Double-dummy stats for 61,228 deals

Stats 8H30 Main Top RP BBO Matches

Tricks	Longest by Longer		Longest Right-sided		Best Fit by Longer		Best Fit Right-sided
9	1	0.0153	1	0.0153	0	0	0	0
10	0	0	0	0	0	0	0	0
11	1	0.0153	1	0.0153	0	0	0	0
12	22	0.3357	16	0.2441	6	0.0915	3	0.0458
13	682	10.4059	527	8.0409	607	9.2615	453	6.9118
14	3328	50.7782	3204	48.8862	3358	51.2359	3225	49.2066
15	2099	32.0262	2313	35.2914	2144	32.7128	2359	35.9933
16	368	5.6149	433	6.6067	377	5.7522	446	6.8050
17	47	0.7171	53	0.8087	52	0.7934	57	0.8697
18	3	0.0458	3	0.0458	6	0.0915	7	0.1068
19	2	0.0305	2	0.0305	3	0.0458	2	0.0305
20	1	0.0153	1	0.0153	1	0.0153	2	0.0305
12	6554	14.3464	6554	14.4271	6554	14.3784	6554	14.4597

Tricks	Longest by Longer		Longest Right-sided		Best Fit by Longer		Best Fit Right-sided
11	3	0.0464	2	0.0310	0	0	0	0
12	7	0.1084	7	0.1084	0	0	0	0
13	72	1.1147	49	0.7586	59	0.9135	36	0.5574
14	986	15.2655	844	13.0670	983	15.2191	844	13.0670
15	3119	48.2892	3075	47.6080	3134	48.5214	3085	47.7628
16	1911	29.5866	2078	32.1722	1915	29.6486	2081	32.2186
17	315	4.8769	353	5.4652	318	4.9234	357	5.5272
18	42	0.6503	46	0.7122	45	0.6967	50	0.7741
19	3	0.0464	3	0.0464	4	0.0619	4	0.0619
20	1	0.0155	1	0.0155	1	0.0155	1	0.0155
21	0	0	1	0.0155	0	0	1	0.0155
11	6459	15.2355	6459	15.3056	6459	15.2486	6459	15.3183

Tricks	Longest by Longer		Longest Right-sided		Best Fit by Longer		Best Fit Right-sided
5	1	0.0061	1	0.0061	0	0	0	0
6	2	0.0123	2	0.0123	0	0	0	0
7	1	0.0061	1	0.0061	0	0	0	0
8	3	0.0184	2	0.0123	0	0	0	0
9	1	0.0061	2	0.0123	0	0	0	0
10	7	0.0430	7	0.0430	0	0	0	0
11	7	0.0430	6	0.0368	0	0	0	0
12	17	0.1043	17	0.1043	0	0	0	0
13	100	0.6136	84	0.5154	22	0.1350	14	0.0859
14	652	4.0007	564	3.4608	472	2.8962	386	2.3685
15	3356	20.5927	3099	19.0158	3288	20.1755	3000	18.4083
16	6866	42.1305	6875	42.1857	7052	43.2718	7061	43.3270
17	4138	25.3912	4366	26.7902	4259	26.1336	4496	27.5879
18	983	6.0318	1079	6.6209	1029	6.3140	1135	6.9645
19	143	0.8775	170	1.0431	151	0.9266	177	1.0861
20	18	0.1104	20	0.1227	21	0.1289	25	0.1534
21	1	0.0061	1	0.0061	1	0.0061	1	0.0061
22	1	0.0061	1	0.0061	2	0.0123	2	0.0123
18	16297	16.0884	16297	16.1495	16297	16.1579	16297	16.2209

Tricks	Longest by Longer		Longest Right-sided		Best Fit by Longer		Best Fit Right-sided
3	1	0.0071	1	0.0071	0	0	0	0
4	1	0.0071	1	0.0071	0	0	0	0
5	0	0	0	0	0	0	0	0
6	0	0	0	0	0	0	0	0
7	0	0	0	0	0	0	0	0
8	2	0.0142	2	0.0142	0	0	0	0
9	2	0.0142	2	0.0142	0	0	0	0
10	5	0.0354	5	0.0354	0	0	0	0
11	5	0.0354	5	0.0354	0	0	0	0
12	7	0.0496	4	0.0283	0	0	0	0
13	14	0.0992	15	0.1063	1	0.0071	1	0.0071
14	76	0.5385	62	0.4393	41	0.2905	29	0.2055
15	699	4.9532	614	4.3509	628	4.4501	542	3.8407
16	3271	23.1789	3060	21.6837	3230	22.8883	3009	21.3223
17	5480	38.8322	5488	38.8889	5569	39.4629	5574	39.4983
18	3546	25.1276	3758	26.6298	3612	25.5952	3829	27.1329
19	880	6.2358	958	6.7885	898	6.3634	981	6.9515
20	121	0.8574	133	0.9425	129	0.9141	141	0.9991
21	1	0.0071	3	0.0213	2	0.0142	4	0.0283
22	1	0.0071	1	0.0071	2	0.0142	2	0.0142
20	14112	17.0400	14112	17.0999	14112	17.0850	14112	17.1457

Tricks	Longest by Longer		Longest Right-sided		Best Fit by Longer		Best Fit Right-sided
5	1	0.0104	1	0.0104	0	0	0	0
6	0	0	0	0	0	0	0	0
7	1	0.0104	1	0.0104	0	0	0	0
8	0	0	0	0	0	0	0	0
9	1	0.0104	1	0.0104	0	0	0	0
10	1	0.0104	1	0.0104	0	0	0	0
11	0	0	0	0	0	0	0	0
12	9	0.0940	8	0.0836	0	0	0	0
13	8	0.0836	9	0.0940	1	0.0104	1	0.0104
14	6	0.0627	6	0.0627	10	0.1045	10	0.1045
15	54	0.5641	47	0.4910	45	0.4701	40	0.4179
16	710	7.4175	642	6.7071	649	6.7802	583	6.0907
17	2340	24.4463	2238	23.3807	2282	23.8404	2172	22.6912
18	3360	35.1024	3365	35.1546	3416	35.6874	3423	35.7606
19	2228	23.2762	2329	24.3314	2280	23.8195	2373	24.7911
20	708	7.3966	761	7.9503	736	7.6891	799	8.3473
21	127	1.3268	139	1.4522	131	1.3686	144	1.5044
22	15	0.1567	20	0.2089	19	0.1985	23	0.2403
23	3	0.0313	4	0.0418	3	0.0313	4	0.0418
19	9572	18.0020	9572	18.0571	9572	18.0497	9572	18.1057

Tricks	Longest by Longer		Longest Right-sided		Best Fit by Longer		Best Fit Right-sided
6	1	0.0193	1	0.0193	0	0	0	0
7	1	0.0193	1	0.0193	0	0	0	0
8	0	0	0	0	0	0	0	0
9	0	0	0	0	0	0	0	0
10	2	0.0386	1	0.0193	0	0	0	0
11	1	0.0193	2	0.0386	0	0	0	0
12	4	0.0772	4	0.0772	0	0	0	0
13	5	0.0965	5	0.0965	0	0	0	0
14	3	0.0579	3	0.0579	2	0.0386	2	0.0386
15	3	0.0579	3	0.0579	5	0.0965	5	0.0965
16	74	1.4283	60	1.1581	65	1.2546	54	1.0423
17	578	11.1561	547	10.5578	530	10.2297	493	9.5155
18	1466	28.2957	1424	27.4850	1466	28.2957	1417	27.3499
19	1713	33.0631	1727	33.3333	1730	33.3912	1749	33.7580
20	989	19.0890	1036	19.9961	1030	19.8803	1076	20.7682
21	297	5.7325	313	6.0413	305	5.8869	326	6.2922
22	40	0.7721	50	0.9651	44	0.8493	55	1.0616
23	4	0.0772	3	0.0579	4	0.0772	3	0.0579
24	0	0	1	0.0193	0	0	1	0.0193
19	5181	18.7566	5181	18.8062	5181	18.8141	5181	18.8678

Tricks	Longest by Longer		Longest Right-sided		Best Fit by Longer		Best Fit Right-sided
12	1	0.0478	1	0.0478	0	0	0	0
13	1	0.0478	1	0.0478	0	0	0	0
14	2	0.0955	2	0.0955	0	0	0	0
15	1	0.0478	1	0.0478	3	0.1433	3	0.1433
16	3	0.1433	1	0.0478	0	0	0	0
17	73	3.4862	66	3.1519	63	3.0086	52	2.4833
18	343	16.3801	330	15.7593	324	15.4728	314	14.9952
19	673	32.1394	658	31.4231	677	32.3305	660	31.5186
20	611	29.1786	627	29.9427	620	29.6084	636	30.3725
21	287	13.7058	291	13.8968	299	14.2789	306	14.6132
22	85	4.0592	98	4.6800	92	4.3935	103	4.9188
23	13	0.6208	17	0.8118	15	0.7163	19	0.9074
24	1	0.0478	1	0.0478	1	0.0478	1	0.0478
13	2094	19.4642	2094	19.5177	2094	19.5239	2094	19.5769

Tricks	Longest by Longer		Longest Right-sided		Best Fit by Longer		Best Fit Right-sided
17	4	0.5579	1	0.1395	2	0.2789	1	0.1395
18	52	7.2524	52	7.2524	48	6.6946	46	6.4156
19	182	25.3835	181	25.2441	182	25.3835	181	25.2441
20	230	32.0781	227	31.6597	228	31.7992	224	31.2413
21	168	23.4310	164	22.8731	171	23.8494	167	23.2915
22	59	8.2287	69	9.6234	58	8.0893	69	9.6234
23	21	2.9289	22	3.0683	26	3.6262	27	3.7657
24	1	0.1395	1	0.1395	2	0.2789	2	0.2789
8	717	20.0767	717	20.1172	717	20.1241	717	20.1646

Tricks	Longest by Longer		Longest Right-sided		Best Fit by Longer		Best Fit Right-sided
17	1	0.4878	1	0.4878	1	0.4878	1	0.4878
18	6	2.9268	6	2.9268	4	1.9512	4	1.9512
19	29	14.1463	28	13.6585	27	13.1707	26	12.6829
20	66	32.1951	63	30.7317	69	33.6585	65	31.7073
21	58	28.2927	61	29.7561	58	28.2927	62	30.2439
22	26	12.6829	27	13.1707	27	13.1707	28	13.6585
23	14	6.8293	14	6.8293	14	6.8293	14	6.8293
24	5	2.4390	4	1.9512	5	2.4390	4	1.9512
25	0	0	1	0.4878	0	0	1	0.4878
9	205	20.6244	205	20.6585	205	20.6634	205	20.7024