Stats 8H30 Main

RP BBO Matches

by Richard Pavlicek

Double-dummy stats for 59,740 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 1031 1.7258 1027 1.7191 948 1.5869 948 1.5869 9913593383 1.5612
1 2328 3.8969 2322 3.8868 2238 3.7462 2244 3.7563 23145762677 3.6449
2 3593 6.0144 3623 6.0646 3419 5.7231 3423 5.7298 37977932067 5.9806
3 4940 8.2692 4942 8.2725 4951 8.2876 4954 8.2926 52871069846 8.3260
4 6432 10.7667 6390 10.6964 6282 10.5156 6242 10.4486 67524194742 10.6335
5 7470 12.5042 7411 12.4054 7399 12.3853 7397 12.3820 80101714628 12.6142
6 8493 14.2166 8555 14.3204 8691 14.5480 8699 14.5614 90730441332 14.2880
7 7914 13.2474 7889 13.2056 7822 13.0934 7885 13.1989 84402158672 13.2914
8 6639 11.1132 6663 11.1533 6606 11.0579 6603 11.0529 71237104568 11.2182
9 4441 7.4339 4478 7.4958 4514 7.5561 4519 7.5644 47702049563 7.5120
10 3030 5.0720 3024 5.0619 3159 5.2879 3139 5.2544 32569065440 5.1289
11 1849 3.0951 1836 3.0733 2017 3.3763 1992 3.3344 20600866092 3.2442
12 1146 1.9183 1147 1.9200 1210 2.0254 1210 2.0254 11865157167 1.8685
13 434 0.7265 433 0.7248 484 0.8102 485 0.8119 4372449423 0.6886
14 59740 5.9739 59740 5.9758 59740 6.0431 59740 6.0414 635013559600 6.0066

Value	North	South	West	East	Empirical
0	1031	1.7258	1027	1.7191	948	1.5869	948	1.5869	9913593383	1.5612
1	2328	3.8969	2322	3.8868	2238	3.7462	2244	3.7563	23145762677	3.6449
2	3593	6.0144	3623	6.0646	3419	5.7231	3423	5.7298	37977932067	5.9806
3	4940	8.2692	4942	8.2725	4951	8.2876	4954	8.2926	52871069846	8.3260
4	6432	10.7667	6390	10.6964	6282	10.5156	6242	10.4486	67524194742	10.6335
5	7470	12.5042	7411	12.4054	7399	12.3853	7397	12.3820	80101714628	12.6142
6	8493	14.2166	8555	14.3204	8691	14.5480	8699	14.5614	90730441332	14.2880
7	7914	13.2474	7889	13.2056	7822	13.0934	7885	13.1989	84402158672	13.2914
8	6639	11.1132	6663	11.1533	6606	11.0579	6603	11.0529	71237104568	11.2182
9	4441	7.4339	4478	7.4958	4514	7.5561	4519	7.5644	47702049563	7.5120
10	3030	5.0720	3024	5.0619	3159	5.2879	3139	5.2544	32569065440	5.1289
11	1849	3.0951	1836	3.0733	2017	3.3763	1992	3.3344	20600866092	3.2442
12	1146	1.9183	1147	1.9200	1210	2.0254	1210	2.0254	11865157167	1.8685
13	434	0.7265	433	0.7248	484	0.8102	485	0.8119	4372449423	0.6886
14	59740	5.9739	59740	5.9758	59740	6.0431	59740	6.0414	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
0 693 1.1600 695 1.1634 655 1.0964 651 1.0897 6949893015 1.0944
1 1764 2.9528 1764 2.9528 1676 2.8055 1683 2.8172 17646817412 2.7790
2 3228 5.4034 3206 5.3666 3007 5.0335 3004 5.0285 32992452829 5.1956
3 4697 7.8624 4716 7.8942 4760 7.9679 4774 7.9913 50476652542 7.9489
4 6311 10.5641 6318 10.5758 6232 10.4319 6212 10.3984 66372975438 10.4522
5 7248 12.1326 7235 12.1108 7385 12.3619 7389 12.3686 77821925315 12.2552
6 7758 12.9863 7728 12.9361 7574 12.6783 7596 12.7151 82551854345 13.0000
7 7459 12.4858 7433 12.4422 7488 12.5343 7469 12.5025 80760822737 12.7180
8 6931 11.6019 7000 11.7174 6903 11.5551 6917 11.5785 73465633954 11.5691
9 5611 9.3924 5594 9.3639 5711 9.5598 5715 9.5665 60489162482 9.5256
10 4182 7.0003 4174 6.9869 4186 7.0070 4165 6.9719 43661750688 6.8757
11 2364 3.9571 2397 4.0124 2608 4.3656 2600 4.3522 26377787548 4.1539
12 1189 1.9903 1180 1.9752 1220 2.0422 1233 2.0639 12128527136 1.9100
13 305 0.5105 300 0.5022 335 0.5608 332 0.5557 3317304159 0.5224
14 59740 6.2698 59740 6.2719 59740 6.3249 59740 6.3240 635013559600 6.2957

Value	North	South	West	East	Empirical
0	693	1.1600	695	1.1634	655	1.0964	651	1.0897	6949893015	1.0944
1	1764	2.9528	1764	2.9528	1676	2.8055	1683	2.8172	17646817412	2.7790
2	3228	5.4034	3206	5.3666	3007	5.0335	3004	5.0285	32992452829	5.1956
3	4697	7.8624	4716	7.8942	4760	7.9679	4774	7.9913	50476652542	7.9489
4	6311	10.5641	6318	10.5758	6232	10.4319	6212	10.3984	66372975438	10.4522
5	7248	12.1326	7235	12.1108	7385	12.3619	7389	12.3686	77821925315	12.2552
6	7758	12.9863	7728	12.9361	7574	12.6783	7596	12.7151	82551854345	13.0000
7	7459	12.4858	7433	12.4422	7488	12.5343	7469	12.5025	80760822737	12.7180
8	6931	11.6019	7000	11.7174	6903	11.5551	6917	11.5785	73465633954	11.5691
9	5611	9.3924	5594	9.3639	5711	9.5598	5715	9.5665	60489162482	9.5256
10	4182	7.0003	4174	6.9869	4186	7.0070	4165	6.9719	43661750688	6.8757
11	2364	3.9571	2397	4.0124	2608	4.3656	2600	4.3522	26377787548	4.1539
12	1189	1.9903	1180	1.9752	1220	2.0422	1233	2.0639	12128527136	1.9100
13	305	0.5105	300	0.5022	335	0.5608	332	0.5557	3317304159	0.5224
14	59740	6.2698	59740	6.2719	59740	6.3249	59740	6.3240	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
0 704 1.1784 699 1.1701 689 1.1533 678 1.1349 6949893015 1.0944
1 1755 2.9377 1761 2.9478 1672 2.7988 1686 2.8222 17646817412 2.7790
2 3147 5.2678 3125 5.2310 2995 5.0134 2977 4.9833 32992452829 5.1956
3 4798 8.0315 4835 8.0934 4693 7.8557 4705 7.8758 50476652542 7.9489
4 6272 10.4988 6230 10.4285 6284 10.5189 6269 10.4938 66372975438 10.4522
5 7334 12.2765 7353 12.3083 7277 12.1811 7259 12.1510 77821925315 12.2552
6 7742 12.9595 7717 12.9176 7678 12.8524 7699 12.8875 82551854345 13.0000
7 7540 12.6214 7559 12.6532 7505 12.5628 7553 12.6431 80760822737 12.7180
8 6760 11.3157 6764 11.3224 6986 11.6940 6952 11.6371 73465633954 11.5691
9 5703 9.5464 5702 9.5447 5685 9.5162 5723 9.5798 60489162482 9.5256
10 4063 6.8011 4075 6.8212 4171 6.9819 4141 6.9317 43661750688 6.8757
11 2411 4.0358 2417 4.0459 2517 4.2133 2514 4.2082 26377787548 4.1539
12 1190 1.9920 1182 1.9786 1233 2.0639 1228 2.0556 12128527136 1.9100
13 321 0.5373 321 0.5373 355 0.5942 356 0.5959 3317304159 0.5224
14 59740 6.2679 59740 6.2695 59740 6.3228 59740 6.3231 635013559600 6.2957

Value	North	South	West	East	Empirical
0	704	1.1784	699	1.1701	689	1.1533	678	1.1349	6949893015	1.0944
1	1755	2.9377	1761	2.9478	1672	2.7988	1686	2.8222	17646817412	2.7790
2	3147	5.2678	3125	5.2310	2995	5.0134	2977	4.9833	32992452829	5.1956
3	4798	8.0315	4835	8.0934	4693	7.8557	4705	7.8758	50476652542	7.9489
4	6272	10.4988	6230	10.4285	6284	10.5189	6269	10.4938	66372975438	10.4522
5	7334	12.2765	7353	12.3083	7277	12.1811	7259	12.1510	77821925315	12.2552
6	7742	12.9595	7717	12.9176	7678	12.8524	7699	12.8875	82551854345	13.0000
7	7540	12.6214	7559	12.6532	7505	12.5628	7553	12.6431	80760822737	12.7180
8	6760	11.3157	6764	11.3224	6986	11.6940	6952	11.6371	73465633954	11.5691
9	5703	9.5464	5702	9.5447	5685	9.5162	5723	9.5798	60489162482	9.5256
10	4063	6.8011	4075	6.8212	4171	6.9819	4141	6.9317	43661750688	6.8757
11	2411	4.0358	2417	4.0459	2517	4.2133	2514	4.2082	26377787548	4.1539
12	1190	1.9920	1182	1.9786	1233	2.0639	1228	2.0556	12128527136	1.9100
13	321	0.5373	321	0.5373	355	0.5942	356	0.5959	3317304159	0.5224
14	59740	6.2679	59740	6.2695	59740	6.3228	59740	6.3231	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
0 727 1.2169 732 1.2253 625 1.0462 631 1.0562 6949893015 1.0944
1 1762 2.9494 1760 2.9461 1667 2.7904 1656 2.7720 17646817412 2.7790
2 3109 5.2042 3094 5.1791 3033 5.0770 3041 5.0904 32992452829 5.1956
3 4875 8.1604 4862 8.1386 4669 7.8155 4677 7.8289 50476652542 7.9489
4 6177 10.3398 6199 10.3766 6150 10.2946 6155 10.3030 66372975438 10.4522
5 7208 12.0656 7225 12.0941 7483 12.5259 7470 12.5042 77821925315 12.2552
6 7785 13.0315 7758 12.9863 7676 12.8490 7660 12.8222 82551854345 13.0000
7 7642 12.7921 7641 12.7904 7653 12.8105 7669 12.8373 80760822737 12.7180
8 7031 11.7693 7003 11.7225 6741 11.2839 6779 11.3475 73465633954 11.5691
9 5559 9.3053 5606 9.3840 5721 9.5765 5666 9.4844 60489162482 9.5256
10 4011 6.7141 4022 6.7325 4155 6.9551 4168 6.9769 43661750688 6.8757
11 2415 4.0425 2387 3.9956 2587 4.3304 2581 4.3204 26377787548 4.1539
12 1154 1.9317 1163 1.9468 1217 2.0372 1229 2.0572 12128527136 1.9100
13 285 0.4771 288 0.4821 363 0.6076 358 0.5993 3317304159 0.5224
14 59740 6.2615 59740 6.2629 59740 6.3296 59740 6.3288 635013559600 6.2957

Value	North	South	West	East	Empirical
0	727	1.2169	732	1.2253	625	1.0462	631	1.0562	6949893015	1.0944
1	1762	2.9494	1760	2.9461	1667	2.7904	1656	2.7720	17646817412	2.7790
2	3109	5.2042	3094	5.1791	3033	5.0770	3041	5.0904	32992452829	5.1956
3	4875	8.1604	4862	8.1386	4669	7.8155	4677	7.8289	50476652542	7.9489
4	6177	10.3398	6199	10.3766	6150	10.2946	6155	10.3030	66372975438	10.4522
5	7208	12.0656	7225	12.0941	7483	12.5259	7470	12.5042	77821925315	12.2552
6	7785	13.0315	7758	12.9863	7676	12.8490	7660	12.8222	82551854345	13.0000
7	7642	12.7921	7641	12.7904	7653	12.8105	7669	12.8373	80760822737	12.7180
8	7031	11.7693	7003	11.7225	6741	11.2839	6779	11.3475	73465633954	11.5691
9	5559	9.3053	5606	9.3840	5721	9.5765	5666	9.4844	60489162482	9.5256
10	4011	6.7141	4022	6.7325	4155	6.9551	4168	6.9769	43661750688	6.8757
11	2415	4.0425	2387	3.9956	2587	4.3304	2581	4.3204	26377787548	4.1539
12	1154	1.9317	1163	1.9468	1217	2.0372	1229	2.0572	12128527136	1.9100
13	285	0.4771	288	0.4821	363	0.6076	358	0.5993	3317304159	0.5224
14	59740	6.2615	59740	6.2629	59740	6.3296	59740	6.3288	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
0 706 1.1818 718 1.2019 689 1.1533 689 1.1533 6949893015 1.0944
1 1803 3.0181 1773 2.9679 1623 2.7168 1613 2.7000 17646817412 2.7790
2 3083 5.1607 3113 5.2109 3073 5.1440 3087 5.1674 32992452829 5.1956
3 4600 7.7000 4617 7.7285 4691 7.8524 4715 7.8925 50476652542 7.9489
4 6302 10.5490 6262 10.4821 6134 10.2678 6097 10.2059 66372975438 10.4522
5 7531 12.6063 7524 12.5946 7193 12.0405 7214 12.0757 77821925315 12.2552
6 7685 12.8641 7675 12.8473 7766 12.9997 7779 13.0214 82551854345 13.0000
7 7807 13.0683 7815 13.0817 7634 12.7787 7590 12.7051 80760822737 12.7180
8 6679 11.1801 6682 11.1851 7122 11.9217 7149 11.9669 73465633954 11.5691
9 5531 9.2585 5534 9.2635 5679 9.5062 5673 9.4961 60489162482 9.5256
10 4122 6.8999 4128 6.9099 3998 6.6923 4013 6.7174 43661750688 6.8757
11 2425 4.0593 2431 4.0693 2495 4.1764 2490 4.1681 26377787548 4.1539
12 1152 1.9284 1159 1.9401 1283 2.1476 1274 2.1326 12128527136 1.9100
13 314 0.5256 309 0.5172 360 0.6026 357 0.5976 3317304159 0.5224
14 59740 6.2672 59740 6.2685 59740 6.3268 59740 6.3256 635013559600 6.2957

Value	North	South	West	East	Empirical
0	706	1.1818	718	1.2019	689	1.1533	689	1.1533	6949893015	1.0944
1	1803	3.0181	1773	2.9679	1623	2.7168	1613	2.7000	17646817412	2.7790
2	3083	5.1607	3113	5.2109	3073	5.1440	3087	5.1674	32992452829	5.1956
3	4600	7.7000	4617	7.7285	4691	7.8524	4715	7.8925	50476652542	7.9489
4	6302	10.5490	6262	10.4821	6134	10.2678	6097	10.2059	66372975438	10.4522
5	7531	12.6063	7524	12.5946	7193	12.0405	7214	12.0757	77821925315	12.2552
6	7685	12.8641	7675	12.8473	7766	12.9997	7779	13.0214	82551854345	13.0000
7	7807	13.0683	7815	13.0817	7634	12.7787	7590	12.7051	80760822737	12.7180
8	6679	11.1801	6682	11.1851	7122	11.9217	7149	11.9669	73465633954	11.5691
9	5531	9.2585	5534	9.2635	5679	9.5062	5673	9.4961	60489162482	9.5256
10	4122	6.8999	4128	6.9099	3998	6.6923	4013	6.7174	43661750688	6.8757
11	2425	4.0593	2431	4.0693	2495	4.1764	2490	4.1681	26377787548	4.1539
12	1152	1.9284	1159	1.9401	1283	2.1476	1274	2.1326	12128527136	1.9100
13	314	0.5256	309	0.5172	360	0.6026	357	0.5976	3317304159	0.5224
14	59740	6.2672	59740	6.2685	59740	6.3268	59740	6.3256	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 9482 15.8721 9482 15.8721 9573 16.0244 9573 16.0244 13006498437504 15.7363
8 27225 45.5725 27225 45.5725 27119 45.3950 27119 45.3950 37809373653909 45.7447
9 16837 28.1838 16837 28.1838 16930 28.3395 16930 28.3395 23225440992325 28.0999
10 5113 8.5588 5113 8.5588 5051 8.4550 5051 8.4550 7168401039800 8.6729
11 991 1.6589 991 1.6589 954 1.5969 954 1.5969 1307227435020 1.5816
12 87 0.1456 87 0.1456 109 0.1825 109 0.1825 130732315831 0.1582
13 5 0.0084 5 0.0084 4 0.0067 4 0.0067 5414950295 0.0066
7 59740 8.3503 59740 8.3503 59740 8.3478 59740 8.3478 82653088824684 8.3512

Value	North	South	West	East	Theoretical (exact)
7	9482	15.8721	9482	15.8721	9573	16.0244	9573	16.0244	13006498437504	15.7363
8	27225	45.5725	27225	45.5725	27119	45.3950	27119	45.3950	37809373653909	45.7447
9	16837	28.1838	16837	28.1838	16930	28.3395	16930	28.3395	23225440992325	28.0999
10	5113	8.5588	5113	8.5588	5051	8.4550	5051	8.4550	7168401039800	8.6729
11	991	1.6589	991	1.6589	954	1.5969	954	1.5969	1307227435020	1.5816
12	87	0.1456	87	0.1456	109	0.1825	109	0.1825	130732315831	0.1582
13	5	0.0084	5	0.0084	4	0.0067	4	0.0067	5414950295	0.0066
7	59740	8.3503	59740	8.3503	59740	8.3478	59740	8.3478	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 0.0067 4 0.0067 7 0.0117 6 0.0100 22876394 0.0036
1 32 0.0536 35 0.0586 26 0.0435 27 0.0452 251246691 0.0396
2 180 0.3013 173 0.2896 158 0.2645 157 0.2628 1556124656 0.2451
3 583 0.9759 581 0.9725 564 0.9441 563 0.9424 5892722789 0.9280
4 1622 2.7151 1641 2.7469 1596 2.6716 1586 2.6548 16409883547 2.5842
5 3538 5.9223 3512 5.8788 3408 5.7047 3434 5.7482 35643298455 5.6130
6 5857 9.8042 5824 9.7489 5659 9.4727 5648 9.4543 62031256233 9.7685
7 8578 14.3589 8583 14.3673 8302 13.8969 8320 13.9270 89999744190 14.1729
8 10292 17.2280 10310 17.2581 10282 17.2112 10280 17.2079 110099842849 17.3382
9 10425 17.4506 10424 17.4489 10647 17.8222 10644 17.8172 113173167471 17.8222
10 9057 15.1607 9082 15.2025 8955 14.9900 8950 14.9816 95919764225 15.1052
11 5800 9.7087 5803 9.7138 6072 10.1640 6062 10.1473 64150449024 10.1022
12 2968 4.9682 2967 4.9665 3135 5.2477 3140 5.2561 31112561346 4.8995
13 804 1.3458 801 1.3408 929 1.5551 923 1.5450 8750621730 1.3780
14 59740 8.3379 59740 8.3401 59740 8.3971 59740 8.3959 635013559600 8.3753

Value	North	South	West	East	Empirical
0	4	0.0067	4	0.0067	7	0.0117	6	0.0100	22876394	0.0036
1	32	0.0536	35	0.0586	26	0.0435	27	0.0452	251246691	0.0396
2	180	0.3013	173	0.2896	158	0.2645	157	0.2628	1556124656	0.2451
3	583	0.9759	581	0.9725	564	0.9441	563	0.9424	5892722789	0.9280
4	1622	2.7151	1641	2.7469	1596	2.6716	1586	2.6548	16409883547	2.5842
5	3538	5.9223	3512	5.8788	3408	5.7047	3434	5.7482	35643298455	5.6130
6	5857	9.8042	5824	9.7489	5659	9.4727	5648	9.4543	62031256233	9.7685
7	8578	14.3589	8583	14.3673	8302	13.8969	8320	13.9270	89999744190	14.1729
8	10292	17.2280	10310	17.2581	10282	17.2112	10280	17.2079	110099842849	17.3382
9	10425	17.4506	10424	17.4489	10647	17.8222	10644	17.8172	113173167471	17.8222
10	9057	15.1607	9082	15.2025	8955	14.9900	8950	14.9816	95919764225	15.1052
11	5800	9.7087	5803	9.7138	6072	10.1640	6062	10.1473	64150449024	10.1022
12	2968	4.9682	2967	4.9665	3135	5.2477	3140	5.2561	31112561346	4.8995
13	804	1.3458	801	1.3408	929	1.5551	923	1.5450	8750621730	1.3780
14	59740	8.3379	59740	8.3401	59740	8.3971	59740	8.3959	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 0.0452 27 0.0452 33 0.0552 34 0.0569 10461673 0.0016
6 152 0.2545 135 0.2260 160 0.2679 163 0.2729 1222077835 0.1924
7 10023 16.7811 10018 16.7730 10086 16.8860 10095 16.9011 105351212255 16.5904
8 26878 45.0007 26898 45.0349 26777 44.8301 26750 44.7849 287234089436 45.2327
9 16488 27.6051 16496 27.6190 16617 27.8202 16630 27.8420 175437245133 27.6273
10 5086 8.5153 5080 8.5054 4996 8.3643 4997 8.3660 54701014789 8.6141
11 982 1.6441 981 1.6425 948 1.5871 948 1.5871 10008187498 1.5761
12 87 0.1457 87 0.1457 109 0.1825 109 0.1825 1006364496 0.1585
13 5 0.0084 5 0.0084 4 0.0067 4 0.0067 42906485 0.0068
9 59728 8.3277 59727 8.3282 59730 8.3249 59730 8.3248 635013559600 8.3327

Value	North	South	West	East	Empirical
5	27	0.0452	27	0.0452	33	0.0552	34	0.0569	10461673	0.0016
6	152	0.2545	135	0.2260	160	0.2679	163	0.2729	1222077835	0.1924
7	10023	16.7811	10018	16.7730	10086	16.8860	10095	16.9011	105351212255	16.5904
8	26878	45.0007	26898	45.0349	26777	44.8301	26750	44.7849	287234089436	45.2327
9	16488	27.6051	16496	27.6190	16617	27.8202	16630	27.8420	175437245133	27.6273
10	5086	8.5153	5080	8.5054	4996	8.3643	4997	8.3660	54701014789	8.6141
11	982	1.6441	981	1.6425	948	1.5871	948	1.5871	10008187498	1.5761
12	87	0.1457	87	0.1457	109	0.1825	109	0.1825	1006364496	0.1585
13	5	0.0084	5	0.0084	4	0.0067	4	0.0067	42906485	0.0068
9	59728	8.3277	59727	8.3282	59730	8.3249	59730	8.3248	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 0.0017 1 0.0017 0 0 0 0 1513990 0.0002
1 17 0.0285 18 0.0301 16 0.0268 16 0.0268 132231913 0.0208
2 155 0.2595 152 0.2544 124 0.2076 119 0.1992 1339624042 0.2110
3 549 0.9190 549 0.9190 537 0.8989 541 0.9056 5671089748 0.8931
4 1552 2.5979 1560 2.6113 1563 2.6163 1543 2.5829 16177592015 2.5476
5 3515 5.8838 3501 5.8604 3386 5.6679 3425 5.7332 35415185536 5.5771
6 5831 9.7606 5798 9.7054 5604 9.3806 5584 9.3472 61775936908 9.7283
7 8568 14.3421 8585 14.3706 8288 13.8735 8308 13.9069 89711329037 14.1275
8 10290 17.2246 10284 17.2146 10273 17.1962 10273 17.1962 109962826727 17.3166
9 10472 17.5293 10477 17.5377 10683 17.8825 10678 17.8741 113305081446 17.8429
10 9071 15.1841 9100 15.2327 9000 15.0653 8993 15.0536 96187452851 15.1473
11 5847 9.7874 5851 9.7941 6097 10.2059 6094 10.2009 64547826059 10.1648
12 3030 5.0720 3028 5.0686 3201 5.3582 3202 5.3599 31646530587 4.9836
13 842 1.4094 836 1.3994 968 1.6204 964 1.6137 9139338741 1.4392
14 59740 8.3632 59740 8.3650 59740 8.4213 59740 8.4205 635013559600 8.3938

Value	North	South	West	East	Empirical
0	1	0.0017	1	0.0017	0	0	0	0	1513990	0.0002
1	17	0.0285	18	0.0301	16	0.0268	16	0.0268	132231913	0.0208
2	155	0.2595	152	0.2544	124	0.2076	119	0.1992	1339624042	0.2110
3	549	0.9190	549	0.9190	537	0.8989	541	0.9056	5671089748	0.8931
4	1552	2.5979	1560	2.6113	1563	2.6163	1543	2.5829	16177592015	2.5476
5	3515	5.8838	3501	5.8604	3386	5.6679	3425	5.7332	35415185536	5.5771
6	5831	9.7606	5798	9.7054	5604	9.3806	5584	9.3472	61775936908	9.7283
7	8568	14.3421	8585	14.3706	8288	13.8735	8308	13.9069	89711329037	14.1275
8	10290	17.2246	10284	17.2146	10273	17.1962	10273	17.1962	109962826727	17.3166
9	10472	17.5293	10477	17.5377	10683	17.8825	10678	17.8741	113305081446	17.8429
10	9071	15.1841	9100	15.2327	9000	15.0653	8993	15.0536	96187452851	15.1473
11	5847	9.7874	5851	9.7941	6097	10.2059	6094	10.2009	64547826059	10.1648
12	3030	5.0720	3028	5.0686	3201	5.3582	3202	5.3599	31646530587	4.9836
13	842	1.4094	836	1.3994	968	1.6204	964	1.6137	9139338741	1.4392
14	59740	8.3632	59740	8.3650	59740	8.4213	59740	8.4205	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 0.0017 1 0.0017 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 0.0067 5 0.0084 3 0.0050 3 0.0050 11612306 0.0018
1 = 3 2 0.0033 2 0.0033 3 0.0050 3 0.0050 25874094 0.0041
1 = 4 8 0.0134 8 0.0134 4 0.0067 4 0.0067 53231899 0.0084
N 1 = 5 3 0.0050 3 0.0050 4 0.0067 4 0.0067 36956503 0.0058
2 = 6 10 0.0167 10 0.0167 11 0.0184 12 0.0201 120316810 0.0189
2 = 7 23 0.0385 21 0.0352 20 0.0335 20 0.0335 198635528 0.0313
2 = 8 36 0.0603 38 0.0636 34 0.0569 32 0.0536 326628269 0.0514
2 = 9 66 0.1105 64 0.1071 43 0.0720 42 0.0703 500918833 0.0789
N 2 = 10 19 0.0318 18 0.0301 15 0.0251 12 0.0201 185145875 0.0292
3 = 11 63 0.1055 60 0.1004 67 0.1122 66 0.1105 708986520 0.1116
3 = 12 100 0.1674 105 0.1758 113 0.1892 115 0.1925 998658286 0.1573
3 = 13 137 0.2293 134 0.2243 120 0.2009 119 0.1992 1395338886 0.2197
3 = 14 183 0.3063 184 0.3080 170 0.2846 172 0.2879 1910125869 0.3008
N 3 = 15 62 0.1038 62 0.1038 62 0.1038 66 0.1105 600509115 0.0946
4 = 16 233 0.3900 235 0.3934 214 0.3582 212 0.3549 2289229042 0.3605
4 = 17 282 0.4720 280 0.4687 294 0.4921 293 0.4905 2994612265 0.4716
4 = 18 355 0.5942 350 0.5859 372 0.6227 367 0.6143 3903975403 0.6148
4 = 19 499 0.8353 508 0.8504 500 0.8370 494 0.8269 5081012026 0.8001
N 4 = 20 162 0.2712 163 0.2728 162 0.2712 161 0.2695 1713322270 0.2698
5 = 21 597 0.9993 578 0.9675 505 0.8453 511 0.8554 5390835002 0.8489
5 = 22 709 1.1868 709 1.1868 656 1.0981 663 1.1098 6765583620 1.0654
5 = 23 831 1.3910 842 1.4094 791 1.3241 804 1.3458 8498769442 1.3384
5 = 24 987 1.6522 981 1.6421 1033 1.7292 1037 1.7359 10602398413 1.6696
N 5 = 25 358 0.5993 367 0.6143 361 0.6043 362 0.6060 3790350430 0.5969
6 = 26 962 1.6103 968 1.6204 881 1.4747 878 1.4697 9966643603 1.5695
6 = 27 1159 1.9401 1139 1.9066 1095 1.8329 1094 1.8313 12109712021 1.9070
6 = 28 1380 2.3100 1372 2.2966 1376 2.3033 1373 2.2983 14729112069 2.3195
6 = 29 1685 2.8206 1687 2.8239 1631 2.7302 1618 2.7084 17910202521 2.8204
N 6 = 30 597 0.9993 582 0.9742 586 0.9809 591 0.9893 6534760658 1.0291
7 = 31 1468 2.4573 1462 2.4473 1434 2.4004 1453 2.4322 15075437352 2.3740
7 = 32 1744 2.9193 1755 2.9377 1664 2.7854 1659 2.7770 17958650211 2.8281
7 = 33 2016 3.3746 2036 3.4081 1949 3.2625 1973 3.3026 21361994439 3.3640
7 = 34 2359 3.9488 2361 3.9521 2373 3.9722 2330 3.9002 25528480621 4.0201
N 7 = 35 896 1.4998 891 1.4915 822 1.3760 844 1.4128 9154206125 1.4416
8 = 36 1729 2.8942 1731 2.8976 1820 3.0465 1818 3.0432 18791511418 2.9592
8 = 37 2084 3.4884 2113 3.5370 1973 3.3026 1979 3.3127 22088800625 3.4785
8 = 38 2446 4.0944 2456 4.1111 2503 4.1898 2481 4.1530 26002102208 4.0947
8 = 39 2886 4.8309 2863 4.7924 2831 4.7389 2849 4.7690 30496109913 4.8024
N 8 = 40 1138 1.9049 1114 1.8647 1081 1.8095 1075 1.7995 12173466153 1.9170
9 = 41 1745 2.9210 1725 2.8875 1764 2.9528 1781 2.9813 19155398988 3.0165
9 = 42 2031 3.3997 2052 3.4349 2146 3.5922 2120 3.5487 22679953280 3.5716
9 = 43 2522 4.2216 2507 4.1965 2565 4.2936 2580 4.3187 26645003052 4.1960
9 = 44 2920 4.8878 2940 4.9213 2925 4.8962 2924 4.8945 31116921638 4.9002
N 9 = 45 1248 2.0891 1253 2.0974 1320 2.2096 1312 2.1962 13776418529 2.1695
10 = 46 1502 2.5142 1531 2.5628 1448 2.4238 1440 2.4104 15678126613 2.4689
10 = 47 1732 2.8992 1722 2.8825 1803 3.0181 1818 3.0432 18845651711 2.9678
10 = 48 2061 3.4499 2074 3.4717 2031 3.3997 2038 3.4114 22346330376 3.5190
10 = 49 2534 4.2417 2523 4.2233 2477 4.1463 2481 4.1530 26213758053 4.1281
N 10 = 50 1309 2.1912 1300 2.1761 1291 2.1610 1272 2.1292 13730953401 2.1623
11 = 51 893 1.4948 891 1.4915 873 1.4613 865 1.4479 9697289588 1.5271
11 = 52 1072 1.7944 1062 1.7777 1119 1.8731 1123 1.8798 11914043914 1.8762
11 = 53 1300 2.1761 1304 2.1828 1304 2.1828 1299 2.1744 14305376462 2.2528
11 = 54 1523 2.5494 1547 2.5896 1685 2.8206 1678 2.8088 16882127404 2.6585
N 11 = 55 1141 1.9099 1129 1.8899 1194 1.9987 1195 2.0003 12637216524 1.9901
12 = 56 390 0.6528 385 0.6445 429 0.7181 422 0.7064 4042066459 0.6365
12 = 57 430 0.7198 437 0.7315 478 0.8001 485 0.8119 4996576787 0.7868
12 = 58 587 0.9826 590 0.9876 610 1.0211 605 1.0127 6084938998 0.9582
12 = 59 698 1.1684 685 1.1466 712 1.1918 723 1.2102 7241748711 1.1404
N 12 = 60 965 1.6153 977 1.6354 1005 1.6823 1013 1.6957 9797000990 1.5428
13 = 61 85 0.1423 78 0.1306 107 0.1791 106 0.1774 950467974 0.1497
13 = 62 94 0.1573 92 0.1540 106 0.1774 102 0.1707 1125576093 0.1773
13 = 63 113 0.1892 116 0.1942 139 0.2327 139 0.2327 1297292873 0.2043
13 = 64 132 0.2210 129 0.2159 147 0.2461 143 0.2394 1491113912 0.2348
N 13 = 65 434 0.7265 433 0.7248 484 0.8102 485 0.8119 4372449423 0.6886
66 59740 39.9392 59740 39.9438 59740 40.2301 59740 40.2247 635013559600 40.0915

Value	North	South	West	East	Empirical
None = 0	1	0.0017	1	0.0017	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	0.0067	5	0.0084	3	0.0050	3	0.0050	11612306	0.0018
1 = 3	2	0.0033	2	0.0033	3	0.0050	3	0.0050	25874094	0.0041
1 = 4	8	0.0134	8	0.0134	4	0.0067	4	0.0067	53231899	0.0084
N 1 = 5	3	0.0050	3	0.0050	4	0.0067	4	0.0067	36956503	0.0058
2 = 6	10	0.0167	10	0.0167	11	0.0184	12	0.0201	120316810	0.0189
2 = 7	23	0.0385	21	0.0352	20	0.0335	20	0.0335	198635528	0.0313
2 = 8	36	0.0603	38	0.0636	34	0.0569	32	0.0536	326628269	0.0514
2 = 9	66	0.1105	64	0.1071	43	0.0720	42	0.0703	500918833	0.0789
N 2 = 10	19	0.0318	18	0.0301	15	0.0251	12	0.0201	185145875	0.0292
3 = 11	63	0.1055	60	0.1004	67	0.1122	66	0.1105	708986520	0.1116
3 = 12	100	0.1674	105	0.1758	113	0.1892	115	0.1925	998658286	0.1573
3 = 13	137	0.2293	134	0.2243	120	0.2009	119	0.1992	1395338886	0.2197
3 = 14	183	0.3063	184	0.3080	170	0.2846	172	0.2879	1910125869	0.3008
N 3 = 15	62	0.1038	62	0.1038	62	0.1038	66	0.1105	600509115	0.0946
4 = 16	233	0.3900	235	0.3934	214	0.3582	212	0.3549	2289229042	0.3605
4 = 17	282	0.4720	280	0.4687	294	0.4921	293	0.4905	2994612265	0.4716
4 = 18	355	0.5942	350	0.5859	372	0.6227	367	0.6143	3903975403	0.6148
4 = 19	499	0.8353	508	0.8504	500	0.8370	494	0.8269	5081012026	0.8001
N 4 = 20	162	0.2712	163	0.2728	162	0.2712	161	0.2695	1713322270	0.2698
5 = 21	597	0.9993	578	0.9675	505	0.8453	511	0.8554	5390835002	0.8489
5 = 22	709	1.1868	709	1.1868	656	1.0981	663	1.1098	6765583620	1.0654
5 = 23	831	1.3910	842	1.4094	791	1.3241	804	1.3458	8498769442	1.3384
5 = 24	987	1.6522	981	1.6421	1033	1.7292	1037	1.7359	10602398413	1.6696
N 5 = 25	358	0.5993	367	0.6143	361	0.6043	362	0.6060	3790350430	0.5969
6 = 26	962	1.6103	968	1.6204	881	1.4747	878	1.4697	9966643603	1.5695
6 = 27	1159	1.9401	1139	1.9066	1095	1.8329	1094	1.8313	12109712021	1.9070
6 = 28	1380	2.3100	1372	2.2966	1376	2.3033	1373	2.2983	14729112069	2.3195
6 = 29	1685	2.8206	1687	2.8239	1631	2.7302	1618	2.7084	17910202521	2.8204
N 6 = 30	597	0.9993	582	0.9742	586	0.9809	591	0.9893	6534760658	1.0291
7 = 31	1468	2.4573	1462	2.4473	1434	2.4004	1453	2.4322	15075437352	2.3740
7 = 32	1744	2.9193	1755	2.9377	1664	2.7854	1659	2.7770	17958650211	2.8281
7 = 33	2016	3.3746	2036	3.4081	1949	3.2625	1973	3.3026	21361994439	3.3640
7 = 34	2359	3.9488	2361	3.9521	2373	3.9722	2330	3.9002	25528480621	4.0201
N 7 = 35	896	1.4998	891	1.4915	822	1.3760	844	1.4128	9154206125	1.4416
8 = 36	1729	2.8942	1731	2.8976	1820	3.0465	1818	3.0432	18791511418	2.9592
8 = 37	2084	3.4884	2113	3.5370	1973	3.3026	1979	3.3127	22088800625	3.4785
8 = 38	2446	4.0944	2456	4.1111	2503	4.1898	2481	4.1530	26002102208	4.0947
8 = 39	2886	4.8309	2863	4.7924	2831	4.7389	2849	4.7690	30496109913	4.8024
N 8 = 40	1138	1.9049	1114	1.8647	1081	1.8095	1075	1.7995	12173466153	1.9170
9 = 41	1745	2.9210	1725	2.8875	1764	2.9528	1781	2.9813	19155398988	3.0165
9 = 42	2031	3.3997	2052	3.4349	2146	3.5922	2120	3.5487	22679953280	3.5716
9 = 43	2522	4.2216	2507	4.1965	2565	4.2936	2580	4.3187	26645003052	4.1960
9 = 44	2920	4.8878	2940	4.9213	2925	4.8962	2924	4.8945	31116921638	4.9002
N 9 = 45	1248	2.0891	1253	2.0974	1320	2.2096	1312	2.1962	13776418529	2.1695
10 = 46	1502	2.5142	1531	2.5628	1448	2.4238	1440	2.4104	15678126613	2.4689
10 = 47	1732	2.8992	1722	2.8825	1803	3.0181	1818	3.0432	18845651711	2.9678
10 = 48	2061	3.4499	2074	3.4717	2031	3.3997	2038	3.4114	22346330376	3.5190
10 = 49	2534	4.2417	2523	4.2233	2477	4.1463	2481	4.1530	26213758053	4.1281
N 10 = 50	1309	2.1912	1300	2.1761	1291	2.1610	1272	2.1292	13730953401	2.1623
11 = 51	893	1.4948	891	1.4915	873	1.4613	865	1.4479	9697289588	1.5271
11 = 52	1072	1.7944	1062	1.7777	1119	1.8731	1123	1.8798	11914043914	1.8762
11 = 53	1300	2.1761	1304	2.1828	1304	2.1828	1299	2.1744	14305376462	2.2528
11 = 54	1523	2.5494	1547	2.5896	1685	2.8206	1678	2.8088	16882127404	2.6585
N 11 = 55	1141	1.9099	1129	1.8899	1194	1.9987	1195	2.0003	12637216524	1.9901
12 = 56	390	0.6528	385	0.6445	429	0.7181	422	0.7064	4042066459	0.6365
12 = 57	430	0.7198	437	0.7315	478	0.8001	485	0.8119	4996576787	0.7868
12 = 58	587	0.9826	590	0.9876	610	1.0211	605	1.0127	6084938998	0.9582
12 = 59	698	1.1684	685	1.1466	712	1.1918	723	1.2102	7241748711	1.1404
N 12 = 60	965	1.6153	977	1.6354	1005	1.6823	1013	1.6957	9797000990	1.5428
13 = 61	85	0.1423	78	0.1306	107	0.1791	106	0.1774	950467974	0.1497
13 = 62	94	0.1573	92	0.1540	106	0.1774	102	0.1707	1125576093	0.1773
13 = 63	113	0.1892	116	0.1942	139	0.2327	139	0.2327	1297292873	0.2043
13 = 64	132	0.2210	129	0.2159	147	0.2461	143	0.2394	1491113912	0.2348
N 13 = 65	434	0.7265	433	0.7248	484	0.8102	485	0.8119	4372449423	0.6886
66	59740	39.9392	59740	39.9438	59740	40.2301	59740	40.2247	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 0.0017 1 0.0017 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 0.0067 4 0.0067 3 0.0050 3 0.0050 9447300 0.0015
1 = 3 2 0.0033 2 0.0033 3 0.0050 3 0.0050 21574362 0.0034
1 = 4 8 0.0134 8 0.0134 3 0.0050 3 0.0050 42527988 0.0067
N 1 = 5 3 0.0050 2 0.0033 4 0.0067 3 0.0050 26388851 0.0042
2 = 6 8 0.0134 7 0.0117 7 0.0117 6 0.0100 84995416 0.0134
2 = 7 13 0.0218 15 0.0251 16 0.0268 14 0.0234 142224249 0.0224
2 = 8 24 0.0402 22 0.0368 25 0.0418 23 0.0385 231292299 0.0364
2 = 9 45 0.0753 44 0.0737 31 0.0519 35 0.0586 363266834 0.0572
N 2 = 10 14 0.0234 11 0.0184 10 0.0167 11 0.0184 127432564 0.0201
3 = 11 39 0.0653 47 0.0787 45 0.0753 48 0.0803 493076363 0.0776
3 = 12 78 0.1306 81 0.1356 65 0.1088 60 0.1004 693513539 0.1092
3 = 13 99 0.1657 97 0.1624 86 0.1440 87 0.1456 1000823292 0.1576
3 = 14 141 0.2360 146 0.2444 122 0.2042 131 0.2193 1395369165 0.2197
N 3 = 15 44 0.0737 51 0.0854 49 0.0820 49 0.0820 517057969 0.0814
4 = 16 158 0.2645 151 0.2528 164 0.2745 162 0.2712 1644254032 0.2589
4 = 17 204 0.3415 203 0.3398 210 0.3515 219 0.3666 2174377737 0.3424
4 = 18 265 0.4436 282 0.4720 266 0.4453 266 0.4453 2890268054 0.4552
4 = 19 396 0.6629 377 0.6311 391 0.6545 384 0.6428 3825111648 0.6024
N 4 = 20 146 0.2444 132 0.2210 149 0.2494 152 0.2544 1603391433 0.2525
5 = 21 416 0.6964 422 0.7064 375 0.6277 359 0.6009 3998705776 0.6297
5 = 22 489 0.8185 499 0.8353 480 0.8035 477 0.7985 5059967561 0.7968
5 = 23 638 1.0680 628 1.0512 608 1.0177 596 0.9977 6444920473 1.0149
5 = 24 775 1.2973 787 1.3174 797 1.3341 790 1.3224 8171172220 1.2868
N 5 = 25 388 0.6495 380 0.6361 368 0.6160 370 0.6194 3680646693 0.5796
6 = 26 779 1.3040 770 1.2889 696 1.1650 707 1.1835 7757580348 1.2216
6 = 27 929 1.5551 911 1.5249 852 1.4262 854 1.4295 9525027771 1.5000
6 = 28 1113 1.8631 1141 1.9099 1107 1.8530 1098 1.8380 11764658491 1.8527
6 = 29 1383 2.3150 1383 2.3150 1372 2.2966 1373 2.2983 14509280677 2.2849
N 6 = 30 614 1.0278 616 1.0311 586 0.9809 589 0.9859 6740920718 1.0615
7 = 31 1196 2.0020 1197 2.0037 1123 1.8798 1149 1.9233 12379732192 1.9495
7 = 32 1395 2.3351 1396 2.3368 1304 2.1828 1314 2.1995 14970987161 2.3576
7 = 33 1706 2.8557 1697 2.8406 1673 2.8005 1654 2.7687 18071185110 2.8458
7 = 34 2009 3.3629 2013 3.3696 2003 3.3529 2045 3.4232 21830271641 3.4378
N 7 = 35 1076 1.8011 1068 1.7877 1112 1.8614 1067 1.7861 11424585988 1.7991
8 = 36 1541 2.5795 1541 2.5795 1612 2.6984 1609 2.6933 16339498138 2.5731
8 = 37 1892 3.1671 1901 3.1821 1813 3.0348 1827 3.0583 19709383181 3.1038
8 = 38 2281 3.8182 2264 3.7898 2287 3.8283 2274 3.8065 23605758352 3.7174
8 = 39 2646 4.4292 2649 4.4342 2607 4.3639 2611 4.3706 28085928185 4.4229
N 8 = 40 1557 2.6063 1575 2.6364 1466 2.4540 1480 2.4774 16270929517 2.5623
9 = 41 1605 2.6866 1584 2.6515 1646 2.7553 1635 2.7369 17610462720 2.7732
9 = 42 1966 3.2909 1981 3.3160 1958 3.2775 1915 3.2056 21330730539 3.3591
9 = 43 2429 4.0660 2424 4.0576 2436 4.0777 2452 4.1045 25409571822 4.0014
9 = 44 2846 4.7640 2861 4.7891 2827 4.7322 2825 4.7288 30048695498 4.7320
N 9 = 45 1842 3.0834 1817 3.0415 1868 3.1269 1896 3.1738 20125215758 3.1693
10 = 46 1384 2.3167 1405 2.3519 1447 2.4222 1448 2.4238 15180947336 2.3906
10 = 47 1675 2.8038 1676 2.8055 1809 3.0281 1813 3.0348 18360372398 2.8913
10 = 48 2010 3.3646 2015 3.3729 2054 3.4382 2035 3.4064 21797024413 3.4325
10 = 49 2382 3.9873 2378 3.9806 2349 3.9320 2344 3.9237 25500986557 4.0158
N 10 = 50 2180 3.6491 2192 3.6692 2118 3.5454 2126 3.5588 22971290435 3.6174
11 = 51 989 1.6555 994 1.6639 931 1.5584 920 1.5400 10149896990 1.5984
11 = 52 1098 1.8380 1110 1.8581 1109 1.8564 1092 1.8279 12077115810 1.9019
11 = 53 1266 2.1192 1259 2.1075 1319 2.2079 1331 2.2280 14119413033 2.2235
11 = 54 1511 2.5293 1493 2.4992 1567 2.6230 1600 2.6783 16390731570 2.5812
N 11 = 55 2090 3.4985 2095 3.5069 2124 3.5554 2094 3.5052 22941283147 3.6127
12 = 56 488 0.8169 477 0.7985 545 0.9123 560 0.9374 5500720419 0.8662
12 = 57 570 0.9541 556 0.9307 579 0.9692 590 0.9876 6227026988 0.9806
12 = 58 656 1.0981 651 1.0897 656 1.0981 648 1.0847 7033151127 1.1076
12 = 59 713 1.1935 726 1.2153 790 1.3224 796 1.3324 7852931458 1.2367
N 12 = 60 1708 2.8591 1716 2.8724 1796 3.0064 1811 3.0315 17849476370 2.8109
13 = 61 205 0.3432 202 0.3381 225 0.3766 215 0.3599 2037906651 0.3209
13 = 62 186 0.3113 190 0.3180 226 0.3783 224 0.3750 2187019556 0.3444
13 = 63 227 0.3800 222 0.3716 222 0.3716 224 0.3750 2314542960 0.3645
13 = 64 251 0.4202 247 0.4135 220 0.3683 211 0.3532 2451437963 0.3860
N 13 = 65 948 1.5869 948 1.5869 1027 1.7191 1031 1.7258 9913593383 1.5612
66 59740 41.8761 59740 41.8732 59740 42.1395 59740 42.1444 635013559600 42.0216

Value	North	South	West	East	Empirical
None = 0	1	0.0017	1	0.0017	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	0.0067	4	0.0067	3	0.0050	3	0.0050	9447300	0.0015
1 = 3	2	0.0033	2	0.0033	3	0.0050	3	0.0050	21574362	0.0034
1 = 4	8	0.0134	8	0.0134	3	0.0050	3	0.0050	42527988	0.0067
N 1 = 5	3	0.0050	2	0.0033	4	0.0067	3	0.0050	26388851	0.0042
2 = 6	8	0.0134	7	0.0117	7	0.0117	6	0.0100	84995416	0.0134
2 = 7	13	0.0218	15	0.0251	16	0.0268	14	0.0234	142224249	0.0224
2 = 8	24	0.0402	22	0.0368	25	0.0418	23	0.0385	231292299	0.0364
2 = 9	45	0.0753	44	0.0737	31	0.0519	35	0.0586	363266834	0.0572
N 2 = 10	14	0.0234	11	0.0184	10	0.0167	11	0.0184	127432564	0.0201
3 = 11	39	0.0653	47	0.0787	45	0.0753	48	0.0803	493076363	0.0776
3 = 12	78	0.1306	81	0.1356	65	0.1088	60	0.1004	693513539	0.1092
3 = 13	99	0.1657	97	0.1624	86	0.1440	87	0.1456	1000823292	0.1576
3 = 14	141	0.2360	146	0.2444	122	0.2042	131	0.2193	1395369165	0.2197
N 3 = 15	44	0.0737	51	0.0854	49	0.0820	49	0.0820	517057969	0.0814
4 = 16	158	0.2645	151	0.2528	164	0.2745	162	0.2712	1644254032	0.2589
4 = 17	204	0.3415	203	0.3398	210	0.3515	219	0.3666	2174377737	0.3424
4 = 18	265	0.4436	282	0.4720	266	0.4453	266	0.4453	2890268054	0.4552
4 = 19	396	0.6629	377	0.6311	391	0.6545	384	0.6428	3825111648	0.6024
N 4 = 20	146	0.2444	132	0.2210	149	0.2494	152	0.2544	1603391433	0.2525
5 = 21	416	0.6964	422	0.7064	375	0.6277	359	0.6009	3998705776	0.6297
5 = 22	489	0.8185	499	0.8353	480	0.8035	477	0.7985	5059967561	0.7968
5 = 23	638	1.0680	628	1.0512	608	1.0177	596	0.9977	6444920473	1.0149
5 = 24	775	1.2973	787	1.3174	797	1.3341	790	1.3224	8171172220	1.2868
N 5 = 25	388	0.6495	380	0.6361	368	0.6160	370	0.6194	3680646693	0.5796
6 = 26	779	1.3040	770	1.2889	696	1.1650	707	1.1835	7757580348	1.2216
6 = 27	929	1.5551	911	1.5249	852	1.4262	854	1.4295	9525027771	1.5000
6 = 28	1113	1.8631	1141	1.9099	1107	1.8530	1098	1.8380	11764658491	1.8527
6 = 29	1383	2.3150	1383	2.3150	1372	2.2966	1373	2.2983	14509280677	2.2849
N 6 = 30	614	1.0278	616	1.0311	586	0.9809	589	0.9859	6740920718	1.0615
7 = 31	1196	2.0020	1197	2.0037	1123	1.8798	1149	1.9233	12379732192	1.9495
7 = 32	1395	2.3351	1396	2.3368	1304	2.1828	1314	2.1995	14970987161	2.3576
7 = 33	1706	2.8557	1697	2.8406	1673	2.8005	1654	2.7687	18071185110	2.8458
7 = 34	2009	3.3629	2013	3.3696	2003	3.3529	2045	3.4232	21830271641	3.4378
N 7 = 35	1076	1.8011	1068	1.7877	1112	1.8614	1067	1.7861	11424585988	1.7991
8 = 36	1541	2.5795	1541	2.5795	1612	2.6984	1609	2.6933	16339498138	2.5731
8 = 37	1892	3.1671	1901	3.1821	1813	3.0348	1827	3.0583	19709383181	3.1038
8 = 38	2281	3.8182	2264	3.7898	2287	3.8283	2274	3.8065	23605758352	3.7174
8 = 39	2646	4.4292	2649	4.4342	2607	4.3639	2611	4.3706	28085928185	4.4229
N 8 = 40	1557	2.6063	1575	2.6364	1466	2.4540	1480	2.4774	16270929517	2.5623
9 = 41	1605	2.6866	1584	2.6515	1646	2.7553	1635	2.7369	17610462720	2.7732
9 = 42	1966	3.2909	1981	3.3160	1958	3.2775	1915	3.2056	21330730539	3.3591
9 = 43	2429	4.0660	2424	4.0576	2436	4.0777	2452	4.1045	25409571822	4.0014
9 = 44	2846	4.7640	2861	4.7891	2827	4.7322	2825	4.7288	30048695498	4.7320
N 9 = 45	1842	3.0834	1817	3.0415	1868	3.1269	1896	3.1738	20125215758	3.1693
10 = 46	1384	2.3167	1405	2.3519	1447	2.4222	1448	2.4238	15180947336	2.3906
10 = 47	1675	2.8038	1676	2.8055	1809	3.0281	1813	3.0348	18360372398	2.8913
10 = 48	2010	3.3646	2015	3.3729	2054	3.4382	2035	3.4064	21797024413	3.4325
10 = 49	2382	3.9873	2378	3.9806	2349	3.9320	2344	3.9237	25500986557	4.0158
N 10 = 50	2180	3.6491	2192	3.6692	2118	3.5454	2126	3.5588	22971290435	3.6174
11 = 51	989	1.6555	994	1.6639	931	1.5584	920	1.5400	10149896990	1.5984
11 = 52	1098	1.8380	1110	1.8581	1109	1.8564	1092	1.8279	12077115810	1.9019
11 = 53	1266	2.1192	1259	2.1075	1319	2.2079	1331	2.2280	14119413033	2.2235
11 = 54	1511	2.5293	1493	2.4992	1567	2.6230	1600	2.6783	16390731570	2.5812
N 11 = 55	2090	3.4985	2095	3.5069	2124	3.5554	2094	3.5052	22941283147	3.6127
12 = 56	488	0.8169	477	0.7985	545	0.9123	560	0.9374	5500720419	0.8662
12 = 57	570	0.9541	556	0.9307	579	0.9692	590	0.9876	6227026988	0.9806
12 = 58	656	1.0981	651	1.0897	656	1.0981	648	1.0847	7033151127	1.1076
12 = 59	713	1.1935	726	1.2153	790	1.3224	796	1.3324	7852931458	1.2367
N 12 = 60	1708	2.8591	1716	2.8724	1796	3.0064	1811	3.0315	17849476370	2.8109
13 = 61	205	0.3432	202	0.3381	225	0.3766	215	0.3599	2037906651	0.3209
13 = 62	186	0.3113	190	0.3180	226	0.3783	224	0.3750	2187019556	0.3444
13 = 63	227	0.3800	222	0.3716	222	0.3716	224	0.3750	2314542960	0.3645
13 = 64	251	0.4202	247	0.4135	220	0.3683	211	0.3532	2451437963	0.3860
N 13 = 65	948	1.5869	948	1.5869	1027	1.7191	1031	1.7258	9913593383	1.5612
66	59740	41.8761	59740	41.8732	59740	42.1395	59740	42.1444	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 11513 19.2718 11476 19.2099 11128 18.6274 11130 18.6307 119358998783 18.7963
1 = 1 1468 2.4573 1462 2.4473 1434 2.4004 1453 2.4322 15075437352 2.3740
1 = 2 1744 2.9193 1755 2.9377 1664 2.7854 1659 2.7770 17958650211 2.8281
1 = 3 2016 3.3746 2036 3.4081 1949 3.2625 1973 3.3026 21361994439 3.3640
1 = 4 2359 3.9488 2361 3.9521 2373 3.9722 2330 3.9002 25528480621 4.0201
1 N = 5 896 1.4998 891 1.4915 822 1.3760 844 1.4128 9154206126 1.4416
2 = 6 1729 2.8942 1731 2.8976 1820 3.0465 1818 3.0432 18791511418 2.9592
2 = 7 2084 3.4884 2113 3.5370 1973 3.3026 1979 3.3127 22088800625 3.4785
2 = 8 2446 4.0944 2456 4.1111 2503 4.1898 2481 4.1530 26002102208 4.0947
2 = 9 2886 4.8309 2863 4.7924 2831 4.7389 2849 4.7690 30496109913 4.8024
3 = 10 1372 2.2966 1357 2.2715 1395 2.3351 1406 2.3535 15168880833 2.3887
3 = 11 1568 2.6247 1583 2.6498 1685 2.8206 1650 2.7620 17647767441 2.7791
2 N = 12 1974 3.3043 1951 3.2658 1911 3.1989 1920 3.2139 21192170146 3.3373
4 = 13 797 1.3341 805 1.3475 802 1.3425 799 1.3375 8352078922 1.3153
4 = 14 942 1.5768 948 1.5869 985 1.6488 1003 1.6789 10306791805 1.6231
3 = 15 2893 4.8427 2882 4.8242 2916 4.8812 2931 4.9063 30412174290 4.7892
3 = 16 3316 5.5507 3315 5.5490 3319 5.5557 3317 5.5524 35369266210 5.5698
3 N = 17 1976 3.3077 2003 3.3529 2039 3.4131 2024 3.3880 21621810315 3.4049
5 = 18 441 0.7382 448 0.7499 427 0.7148 432 0.7231 4918954504 0.7746
5 = 19 566 0.9474 563 0.9424 568 0.9508 582 0.9742 6307419874 0.9933
4 = 20 2265 3.7914 2273 3.8048 2251 3.7680 2250 3.7663 24619813919 3.8771
4 = 21 2772 4.6401 2765 4.6284 2708 4.5330 2704 4.5263 28756868129 4.5285
4 N = 22 1825 3.0549 1801 3.0147 1837 3.0750 1811 3.0315 19299318906 3.0392
5 = 23 1300 2.1761 1304 2.1828 1304 2.1828 1299 2.1744 14305376462 2.2528
5 = 24 1523 2.5494 1547 2.5896 1685 2.8206 1678 2.8088 16882127404 2.6585
5 N = 25 1141 1.9099 1129 1.8899 1194 1.9987 1195 2.0003 12637216524 1.9901
6 = 26 390 0.6528 385 0.6445 429 0.7181 422 0.7064 4042066459 0.6365
6 = 27 430 0.7198 437 0.7315 478 0.8001 485 0.8119 4996576787 0.7868
6 = 28 587 0.9826 590 0.9876 610 1.0211 605 1.0127 6084938998 0.9582
6 = 29 698 1.1684 685 1.1466 712 1.1918 723 1.2102 7241748711 1.1404
6 N = 30 965 1.6153 977 1.6354 1005 1.6823 1013 1.6957 9797000990 1.5428
7 = 31 85 0.1423 78 0.1306 107 0.1791 106 0.1774 950467974 0.1497
7 = 32 94 0.1573 92 0.1540 106 0.1774 102 0.1707 1125576093 0.1773
7 = 33 113 0.1892 116 0.1942 139 0.2327 139 0.2327 1297292873 0.2043
7 = 34 132 0.2210 129 0.2159 147 0.2461 143 0.2394 1491113912 0.2348
7 N = 35 434 0.7265 433 0.7248 484 0.8102 485 0.8119 4372449423 0.6886
36 59740 11.3397 59740 11.3410 59740 11.5805 59740 11.5739 635013559600 11.4347

Value	North	South	West	East	Empirical
None = 0	11513	19.2718	11476	19.2099	11128	18.6274	11130	18.6307	119358998783	18.7963
1 = 1	1468	2.4573	1462	2.4473	1434	2.4004	1453	2.4322	15075437352	2.3740
1 = 2	1744	2.9193	1755	2.9377	1664	2.7854	1659	2.7770	17958650211	2.8281
1 = 3	2016	3.3746	2036	3.4081	1949	3.2625	1973	3.3026	21361994439	3.3640
1 = 4	2359	3.9488	2361	3.9521	2373	3.9722	2330	3.9002	25528480621	4.0201
1 N = 5	896	1.4998	891	1.4915	822	1.3760	844	1.4128	9154206126	1.4416
2 = 6	1729	2.8942	1731	2.8976	1820	3.0465	1818	3.0432	18791511418	2.9592
2 = 7	2084	3.4884	2113	3.5370	1973	3.3026	1979	3.3127	22088800625	3.4785
2 = 8	2446	4.0944	2456	4.1111	2503	4.1898	2481	4.1530	26002102208	4.0947
2 = 9	2886	4.8309	2863	4.7924	2831	4.7389	2849	4.7690	30496109913	4.8024
3 = 10	1372	2.2966	1357	2.2715	1395	2.3351	1406	2.3535	15168880833	2.3887
3 = 11	1568	2.6247	1583	2.6498	1685	2.8206	1650	2.7620	17647767441	2.7791
2 N = 12	1974	3.3043	1951	3.2658	1911	3.1989	1920	3.2139	21192170146	3.3373
4 = 13	797	1.3341	805	1.3475	802	1.3425	799	1.3375	8352078922	1.3153
4 = 14	942	1.5768	948	1.5869	985	1.6488	1003	1.6789	10306791805	1.6231
3 = 15	2893	4.8427	2882	4.8242	2916	4.8812	2931	4.9063	30412174290	4.7892
3 = 16	3316	5.5507	3315	5.5490	3319	5.5557	3317	5.5524	35369266210	5.5698
3 N = 17	1976	3.3077	2003	3.3529	2039	3.4131	2024	3.3880	21621810315	3.4049
5 = 18	441	0.7382	448	0.7499	427	0.7148	432	0.7231	4918954504	0.7746
5 = 19	566	0.9474	563	0.9424	568	0.9508	582	0.9742	6307419874	0.9933
4 = 20	2265	3.7914	2273	3.8048	2251	3.7680	2250	3.7663	24619813919	3.8771
4 = 21	2772	4.6401	2765	4.6284	2708	4.5330	2704	4.5263	28756868129	4.5285
4 N = 22	1825	3.0549	1801	3.0147	1837	3.0750	1811	3.0315	19299318906	3.0392
5 = 23	1300	2.1761	1304	2.1828	1304	2.1828	1299	2.1744	14305376462	2.2528
5 = 24	1523	2.5494	1547	2.5896	1685	2.8206	1678	2.8088	16882127404	2.6585
5 N = 25	1141	1.9099	1129	1.8899	1194	1.9987	1195	2.0003	12637216524	1.9901
6 = 26	390	0.6528	385	0.6445	429	0.7181	422	0.7064	4042066459	0.6365
6 = 27	430	0.7198	437	0.7315	478	0.8001	485	0.8119	4996576787	0.7868
6 = 28	587	0.9826	590	0.9876	610	1.0211	605	1.0127	6084938998	0.9582
6 = 29	698	1.1684	685	1.1466	712	1.1918	723	1.2102	7241748711	1.1404
6 N = 30	965	1.6153	977	1.6354	1005	1.6823	1013	1.6957	9797000990	1.5428
7 = 31	85	0.1423	78	0.1306	107	0.1791	106	0.1774	950467974	0.1497
7 = 32	94	0.1573	92	0.1540	106	0.1774	102	0.1707	1125576093	0.1773
7 = 33	113	0.1892	116	0.1942	139	0.2327	139	0.2327	1297292873	0.2043
7 = 34	132	0.2210	129	0.2159	147	0.2461	143	0.2394	1491113912	0.2348
7 N = 35	434	0.7265	433	0.7248	484	0.8102	485	0.8119	4372449423	0.6886
36	59740	11.3397	59740	11.3410	59740	11.5805	59740	11.5739	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 0.0067 4 0.0133 6 0.0100
80 = 2 73 0.2464 71 0.2358 144 0.2410
90 = 3 936 3.1590 877 2.9127 1813 3.0348
100 = 4 4794 16.1795 4793 15.9183 9587 16.0479
110 = 5 1293 4.3638 1317 4.3740 2610 4.3689
120 = 6 1221 4.1208 1162 3.8592 2383 3.9890
130 = 7 1149 3.8778 1169 3.8824 2318 3.8801
140 = 8 3224 10.8809 3299 10.9565 6523 10.9190
300 = 10 1603 5.4101 1543 5.1245 3146 5.2662
400 = 11 2406 8.1201 2382 7.9110 4788 8.0147
420 = 12 3283 11.0800 3357 11.1491 6640 11.1148
430 = 13 1814 6.1222 1835 6.0943 3649 6.1081
450 = 14 2605 8.7918 2728 9.0601 5333 8.9270
460 = 15 1186 4.0027 1246 4.1382 2432 4.0710
500 = 16 135 0.4556 118 0.3919 253 0.4235
800 = 22 280 0.9450 279 0.9266 559 0.9357
920 = 23 647 2.1836 714 2.3713 1361 2.2782
980 = 24 1074 3.6247 1137 3.7762 2211 3.7010
990 = 25 1060 3.5775 1102 3.6599 2162 3.6190
1100 = 26 19 0.0641 32 0.1063 51 0.0854
1400 = 28 26 0.0877 39 0.1295 65 0.1088
1440 = 30 133 0.4489 156 0.5181 289 0.4838
1510 = 31 231 0.7796 262 0.8701 493 0.8252
1520 = 32 436 1.4715 488 1.6207 924 1.5467
25 29630 11.1810 30110 11.3704 59740 11.2765

Score	North-South Plus	West-East Plus	Absolute Times
0 = 0	0	0	0	0	0	0
70 = 1	2	0.0067	4	0.0133	6	0.0100
80 = 2	73	0.2464	71	0.2358	144	0.2410
90 = 3	936	3.1590	877	2.9127	1813	3.0348
100 = 4	4794	16.1795	4793	15.9183	9587	16.0479
110 = 5	1293	4.3638	1317	4.3740	2610	4.3689
120 = 6	1221	4.1208	1162	3.8592	2383	3.9890
130 = 7	1149	3.8778	1169	3.8824	2318	3.8801
140 = 8	3224	10.8809	3299	10.9565	6523	10.9190
300 = 10	1603	5.4101	1543	5.1245	3146	5.2662
400 = 11	2406	8.1201	2382	7.9110	4788	8.0147
420 = 12	3283	11.0800	3357	11.1491	6640	11.1148
430 = 13	1814	6.1222	1835	6.0943	3649	6.1081
450 = 14	2605	8.7918	2728	9.0601	5333	8.9270
460 = 15	1186	4.0027	1246	4.1382	2432	4.0710
500 = 16	135	0.4556	118	0.3919	253	0.4235
800 = 22	280	0.9450	279	0.9266	559	0.9357
920 = 23	647	2.1836	714	2.3713	1361	2.2782
980 = 24	1074	3.6247	1137	3.7762	2211	3.7010
990 = 25	1060	3.5775	1102	3.6599	2162	3.6190
1100 = 26	19	0.0641	32	0.1063	51	0.0854
1400 = 28	26	0.0877	39	0.1295	65	0.1088
1440 = 30	133	0.4489	156	0.5181	289	0.4838
1510 = 31	231	0.7796	262	0.8701	493	0.8252
1520 = 32	436	1.4715	488	1.6207	924	1.5467
25	29630	11.1810	30110	11.3704	59740	11.2765

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 0.0067 4 0.0133 6 0.0100
80 = 2 73 0.2464 71 0.2358 144 0.2410
90 = 3 936 3.1590 877 2.9127 1813 3.0348
100 = 4 4794 16.1795 0 0 4794 8.0248
110 = 5 1293 4.3638 3168 10.5214 4461 7.4674
120 = 6 1221 4.1208 1597 5.3039 2818 4.7171
130 = 7 1149 3.8778 1492 4.9552 2641 4.4208
140 = 8 3224 10.8809 4659 15.4733 7883 13.1955
200 = 9 0 0 824 2.7366 824 1.3793
300 = 10 1603 5.4101 0 0 1603 2.6833
400 = 11 0 0 2822 9.3723 2822 4.7238
420 = 12 0 0 4164 13.8293 4164 6.9702
430 = 13 0 0 1903 6.3202 1903 3.1855
450 = 14 0 0 2913 9.6745 2913 4.8761
460 = 15 0 0 1256 4.1714 1256 2.1024
500 = 16 2546 8.5926 33 0.1096 2579 4.3170
600 = 17 1670 5.6362 0 0 1670 2.7954
620 = 18 2189 7.3878 0 0 2189 3.6642
630 = 19 1625 5.4843 0 0 1625 2.7201
650 = 20 2242 7.5667 0 0 2242 3.7529
660 = 21 1157 3.9048 0 0 1157 1.9367
800 = 22 280 0.9450 118 0.3919 398 0.6662
920 = 23 0 0 840 2.7898 840 1.4061
980 = 24 0 0 1264 4.1979 1264 2.1158
990 = 25 0 0 1116 3.7064 1116 1.8681
1100 = 26 456 1.5390 12 0.0399 468 0.7834
1370 = 27 481 1.6234 0 0 481 0.8052
1400 = 28 413 1.3939 32 0.1063 445 0.7449
1430 = 29 572 1.9305 0 0 572 0.9575
1440 = 30 904 3.0510 183 0.6078 1087 1.8196
1510 = 31 0 0 274 0.9100 274 0.4587
1520 = 32 0 0 488 1.6207 488 0.8169
1700 = 33 48 0.1620 0 0 48 0.0803
2000 = 34 48 0.1620 0 0 48 0.0803
2140 = 35 68 0.2295 0 0 68 0.1138
2210 = 36 200 0.6750 0 0 200 0.3348
2220 = 37 436 1.4715 0 0 436 0.7298
38 29630 13.8215 30110 11.9625 59740 12.8845

Score	North-South Plus	West-East Plus	Absolute Times
0 = 0	0	0	0	0	0	0
70 = 1	2	0.0067	4	0.0133	6	0.0100
80 = 2	73	0.2464	71	0.2358	144	0.2410
90 = 3	936	3.1590	877	2.9127	1813	3.0348
100 = 4	4794	16.1795	0	0	4794	8.0248
110 = 5	1293	4.3638	3168	10.5214	4461	7.4674
120 = 6	1221	4.1208	1597	5.3039	2818	4.7171
130 = 7	1149	3.8778	1492	4.9552	2641	4.4208
140 = 8	3224	10.8809	4659	15.4733	7883	13.1955
200 = 9	0	0	824	2.7366	824	1.3793
300 = 10	1603	5.4101	0	0	1603	2.6833
400 = 11	0	0	2822	9.3723	2822	4.7238
420 = 12	0	0	4164	13.8293	4164	6.9702
430 = 13	0	0	1903	6.3202	1903	3.1855
450 = 14	0	0	2913	9.6745	2913	4.8761
460 = 15	0	0	1256	4.1714	1256	2.1024
500 = 16	2546	8.5926	33	0.1096	2579	4.3170
600 = 17	1670	5.6362	0	0	1670	2.7954
620 = 18	2189	7.3878	0	0	2189	3.6642
630 = 19	1625	5.4843	0	0	1625	2.7201
650 = 20	2242	7.5667	0	0	2242	3.7529
660 = 21	1157	3.9048	0	0	1157	1.9367
800 = 22	280	0.9450	118	0.3919	398	0.6662
920 = 23	0	0	840	2.7898	840	1.4061
980 = 24	0	0	1264	4.1979	1264	2.1158
990 = 25	0	0	1116	3.7064	1116	1.8681
1100 = 26	456	1.5390	12	0.0399	468	0.7834
1370 = 27	481	1.6234	0	0	481	0.8052
1400 = 28	413	1.3939	32	0.1063	445	0.7449
1430 = 29	572	1.9305	0	0	572	0.9575
1440 = 30	904	3.0510	183	0.6078	1087	1.8196
1510 = 31	0	0	274	0.9100	274	0.4587
1520 = 32	0	0	488	1.6207	488	0.8169
1700 = 33	48	0.1620	0	0	48	0.0803
2000 = 34	48	0.1620	0	0	48	0.0803
2140 = 35	68	0.2295	0	0	68	0.1138
2210 = 36	200	0.6750	0	0	200	0.3348
2220 = 37	436	1.4715	0	0	436	0.7298
38	29630	13.8215	30110	11.9625	59740	12.8845

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 0.0067 4 0.0133 6 0.0100
80 = 2 73 0.2464 71 0.2358 144 0.2410
90 = 3 936 3.1590 877 2.9127 1813 3.0348
100 = 4 0 0 4793 15.9183 4793 8.0231
110 = 5 3177 10.7222 1317 4.3740 4494 7.5226
120 = 6 1659 5.5991 1162 3.8592 2821 4.7221
130 = 7 1443 4.8701 1169 3.8824 2612 4.3723
140 = 8 4589 15.4877 3299 10.9565 7888 13.2039
200 = 9 813 2.7438 0 0 813 1.3609
300 = 10 0 0 1543 5.1245 1543 2.5829
400 = 11 2810 9.4836 0 0 2810 4.7037
420 = 12 4192 14.1478 0 0 4192 7.0171
430 = 13 1893 6.3888 0 0 1893 3.1687
450 = 14 2769 9.3453 0 0 2769 4.6351
460 = 15 1194 4.0297 0 0 1194 1.9987
500 = 16 39 0.1316 2594 8.6151 2633 4.4074
600 = 17 0 0 1621 5.3836 1621 2.7134
620 = 18 0 0 2229 7.4029 2229 3.7312
630 = 19 0 0 1666 5.5330 1666 2.7888
650 = 20 0 0 2347 7.7948 2347 3.9287
660 = 21 0 0 1209 4.0153 1209 2.0238
800 = 22 135 0.4556 279 0.9266 414 0.6930
920 = 23 752 2.5380 0 0 752 1.2588
980 = 24 1222 4.1242 0 0 1222 2.0455
990 = 25 1074 3.6247 0 0 1074 1.7978
1100 = 26 13 0.0439 448 1.4879 461 0.7717
1370 = 27 0 0 550 1.8266 550 0.9207
1400 = 28 19 0.0641 427 1.4181 446 0.7466
1430 = 29 0 0 663 2.2019 663 1.1098
1440 = 30 153 0.5164 936 3.1086 1089 1.8229
1510 = 31 237 0.7999 0 0 237 0.3967
1520 = 32 436 1.4715 0 0 436 0.7298
1700 = 33 0 0 50 0.1661 50 0.0837
2000 = 34 0 0 49 0.1627 49 0.0820
2140 = 35 0 0 85 0.2823 85 0.1423
2210 = 36 0 0 234 0.7772 234 0.3917
2220 = 37 0 0 488 1.6207 488 0.8169
38 29630 11.7871 30110 14.0600 59740 12.9327

Score	North-South Plus	West-East Plus	Absolute Times
0 = 0	0	0	0	0	0	0
70 = 1	2	0.0067	4	0.0133	6	0.0100
80 = 2	73	0.2464	71	0.2358	144	0.2410
90 = 3	936	3.1590	877	2.9127	1813	3.0348
100 = 4	0	0	4793	15.9183	4793	8.0231
110 = 5	3177	10.7222	1317	4.3740	4494	7.5226
120 = 6	1659	5.5991	1162	3.8592	2821	4.7221
130 = 7	1443	4.8701	1169	3.8824	2612	4.3723
140 = 8	4589	15.4877	3299	10.9565	7888	13.2039
200 = 9	813	2.7438	0	0	813	1.3609
300 = 10	0	0	1543	5.1245	1543	2.5829
400 = 11	2810	9.4836	0	0	2810	4.7037
420 = 12	4192	14.1478	0	0	4192	7.0171
430 = 13	1893	6.3888	0	0	1893	3.1687
450 = 14	2769	9.3453	0	0	2769	4.6351
460 = 15	1194	4.0297	0	0	1194	1.9987
500 = 16	39	0.1316	2594	8.6151	2633	4.4074
600 = 17	0	0	1621	5.3836	1621	2.7134
620 = 18	0	0	2229	7.4029	2229	3.7312
630 = 19	0	0	1666	5.5330	1666	2.7888
650 = 20	0	0	2347	7.7948	2347	3.9287
660 = 21	0	0	1209	4.0153	1209	2.0238
800 = 22	135	0.4556	279	0.9266	414	0.6930
920 = 23	752	2.5380	0	0	752	1.2588
980 = 24	1222	4.1242	0	0	1222	2.0455
990 = 25	1074	3.6247	0	0	1074	1.7978
1100 = 26	13	0.0439	448	1.4879	461	0.7717
1370 = 27	0	0	550	1.8266	550	0.9207
1400 = 28	19	0.0641	427	1.4181	446	0.7466
1430 = 29	0	0	663	2.2019	663	1.1098
1440 = 30	153	0.5164	936	3.1086	1089	1.8229
1510 = 31	237	0.7999	0	0	237	0.3967
1520 = 32	436	1.4715	0	0	436	0.7298
1700 = 33	0	0	50	0.1661	50	0.0837
2000 = 34	0	0	49	0.1627	49	0.0820
2140 = 35	0	0	85	0.2823	85	0.1423
2210 = 36	0	0	234	0.7772	234	0.3917
2220 = 37	0	0	488	1.6207	488	0.8169
38	29630	11.7871	30110	14.0600	59740	12.9327

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 0.0067 4 0.0133 6 0.0100
80 = 2 73 0.2464 71 0.2358 144 0.2410
90 = 3 936 3.1590 877 2.9127 1813 3.0348
110 = 5 3177 10.7222 3168 10.5214 6345 10.6210
120 = 6 1659 5.5991 1597 5.3039 3256 5.4503
130 = 7 1443 4.8701 1492 4.9552 2935 4.9130
140 = 8 4589 15.4877 4659 15.4733 9248 15.4804
200 = 9 813 2.7438 824 2.7366 1637 2.7402
500 = 16 1603 5.4101 1543 5.1245 3146 5.2662
600 = 17 2406 8.1201 2382 7.9110 4788 8.0147
620 = 18 3283 11.0800 3357 11.1491 6640 11.1148
630 = 19 1814 6.1222 1835 6.0943 3649 6.1081
650 = 20 2605 8.7918 2728 9.0601 5333 8.9270
660 = 21 1186 4.0027 1246 4.1382 2432 4.0710
800 = 22 135 0.4556 118 0.3919 253 0.4235
1100 = 26 280 0.9450 279 0.9266 559 0.9357
1370 = 27 647 2.1836 714 2.3713 1361 2.2782
1400 = 28 290 0.9787 284 0.9432 574 0.9608
1430 = 29 850 2.8687 935 3.1053 1785 2.9879
1440 = 30 1013 3.4188 1052 3.4939 2065 3.4566
1700 = 33 26 0.0877 39 0.1295 65 0.1088
2000 = 34 48 0.1620 50 0.1661 98 0.1640
2140 = 35 96 0.3240 118 0.3919 214 0.3582
2210 = 36 220 0.7425 250 0.8303 470 0.7867
2220 = 37 436 1.4715 488 1.6207 924 1.5467
26 29630 14.8776 30110 15.0933 59740 14.9863

Score	North-South Plus	West-East Plus	Absolute Times
0 = 0	0	0	0	0	0	0
70 = 1	2	0.0067	4	0.0133	6	0.0100
80 = 2	73	0.2464	71	0.2358	144	0.2410
90 = 3	936	3.1590	877	2.9127	1813	3.0348
110 = 5	3177	10.7222	3168	10.5214	6345	10.6210
120 = 6	1659	5.5991	1597	5.3039	3256	5.4503
130 = 7	1443	4.8701	1492	4.9552	2935	4.9130
140 = 8	4589	15.4877	4659	15.4733	9248	15.4804
200 = 9	813	2.7438	824	2.7366	1637	2.7402
500 = 16	1603	5.4101	1543	5.1245	3146	5.2662
600 = 17	2406	8.1201	2382	7.9110	4788	8.0147
620 = 18	3283	11.0800	3357	11.1491	6640	11.1148
630 = 19	1814	6.1222	1835	6.0943	3649	6.1081
650 = 20	2605	8.7918	2728	9.0601	5333	8.9270
660 = 21	1186	4.0027	1246	4.1382	2432	4.0710
800 = 22	135	0.4556	118	0.3919	253	0.4235
1100 = 26	280	0.9450	279	0.9266	559	0.9357
1370 = 27	647	2.1836	714	2.3713	1361	2.2782
1400 = 28	290	0.9787	284	0.9432	574	0.9608
1430 = 29	850	2.8687	935	3.1053	1785	2.9879
1440 = 30	1013	3.4188	1052	3.4939	2065	3.4566
1700 = 33	26	0.0877	39	0.1295	65	0.1088
2000 = 34	48	0.1620	50	0.1661	98	0.1640
2140 = 35	96	0.3240	118	0.3919	214	0.3582
2210 = 36	220	0.7425	250	0.8303	470	0.7867
2220 = 37	436	1.4715	488	1.6207	924	1.5467
26	29630	14.8776	30110	15.0933	59740	14.9863

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 0.0157 1 0.0157 0 0 0 0
10 0 0 0 0 0 0 0 0
11 1 0.0157 1 0.0157 0 0 0 0
12 21 0.3287 15 0.2348 6 0.0939 3 0.0470
13 668 10.4571 517 8.0933 594 9.2987 443 6.9349
14 3228 50.5322 3105 48.6068 3258 51.0019 3127 48.9512
15 2056 32.1853 2266 35.4728 2099 32.8585 2310 36.1616
16 362 5.6669 426 6.6688 371 5.8078 439 6.8723
17 45 0.7044 51 0.7984 50 0.7827 55 0.8610
18 3 0.0470 3 0.0470 6 0.0939 7 0.1096
19 2 0.0313 2 0.0313 3 0.0470 2 0.0313
20 1 0.0157 1 0.0157 1 0.0157 2 0.0313
12 6388 14.3483 6388 14.4296 6388 14.3804 6388 14.4624

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 0.0478 2 0.0319 0 0 0 0
12 7 0.1115 7 0.1115 0 0 0 0
13 71 1.1308 49 0.7804 58 0.9237 36 0.5733
14 959 15.2731 821 13.0753 956 15.2254 821 13.0753
15 3029 48.2402 2983 47.5076 3044 48.4791 2993 47.6668
16 1859 29.6066 2023 32.2185 1863 29.6703 2026 32.2663
17 305 4.8575 343 5.4627 308 4.9052 347 5.5264
18 42 0.6689 46 0.7326 45 0.7167 50 0.7963
19 3 0.0478 3 0.0478 4 0.0637 4 0.0637
20 1 0.0159 1 0.0159 1 0.0159 1 0.0159
21 0 0 1 0.0159 0 0 1 0.0159
11 6279 15.2354 6279 15.3061 6279 15.2489 6279 15.3192

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 0.0063 1 0.0063 0 0 0 0
6 2 0.0126 2 0.0126 0 0 0 0
7 1 0.0063 1 0.0063 0 0 0 0
8 3 0.0188 2 0.0126 0 0 0 0
9 1 0.0063 2 0.0126 0 0 0 0
10 7 0.0440 7 0.0440 0 0 0 0
11 6 0.0377 5 0.0314 0 0 0 0
12 17 0.1068 17 0.1068 0 0 0 0
13 97 0.6091 81 0.5086 22 0.1381 14 0.0879
14 633 3.9749 547 3.4349 463 2.9074 379 2.3799
15 3267 20.5149 3023 18.9827 3194 20.0565 2922 18.3485
16 6725 42.2292 6723 42.2166 6908 43.3783 6906 43.3658
17 4042 25.3815 4269 26.8069 4157 26.1036 4390 27.5667
18 962 6.0408 1055 6.6248 1008 6.3297 1111 6.9765
19 141 0.8854 168 1.0549 149 0.9356 175 1.0989
20 18 0.1130 20 0.1256 21 0.1319 25 0.1570
21 1 0.0063 1 0.0063 1 0.0063 1 0.0063
22 1 0.0063 1 0.0063 2 0.0126 2 0.0126
18 15925 16.0902 15925 16.1513 15925 16.1592 15925 16.2218

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 0.0073 1 0.0073 0 0 0 0
4 1 0.0073 1 0.0073 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 0.0145 2 0.0145 0 0 0 0
9 2 0.0145 2 0.0145 0 0 0 0
10 5 0.0363 5 0.0363 0 0 0 0
11 5 0.0363 5 0.0363 0 0 0 0
12 7 0.0508 4 0.0291 0 0 0 0
13 14 0.1017 15 0.1089 1 0.0073 1 0.0073
14 75 0.5447 61 0.4430 40 0.2905 28 0.2034
15 693 5.0330 609 4.4230 623 4.5247 538 3.9073
16 3199 23.2334 2989 21.7082 3162 22.9646 2943 21.3741
17 5332 38.7247 5348 38.8409 5421 39.3711 5432 39.4509
18 3459 25.1217 3665 26.6178 3520 25.5647 3733 27.1116
19 854 6.2023 928 6.7398 872 6.3331 950 6.8996
20 118 0.8570 130 0.9441 126 0.9151 138 1.0023
21 1 0.0073 3 0.0218 2 0.0145 4 0.0291
22 1 0.0073 1 0.0073 2 0.0145 2 0.0145
20 13769 17.0365 13769 17.0967 13769 17.0819 13769 17.1428

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 0.0107 1 0.0107 0 0 0 0
6 0 0 0 0 0 0 0 0
7 1 0.0107 1 0.0107 0 0 0 0
8 0 0 0 0 0 0 0 0
9 1 0.0107 1 0.0107 0 0 0 0
10 1 0.0107 1 0.0107 0 0 0 0
11 0 0 0 0 0 0 0 0
12 9 0.0962 8 0.0855 0 0 0 0
13 8 0.0855 9 0.0962 1 0.0107 1 0.0107
14 6 0.0642 6 0.0642 10 0.1069 10 0.1069
15 53 0.5667 46 0.4918 44 0.4704 39 0.4170
16 693 7.4094 627 6.7037 633 6.7679 569 6.0836
17 2285 24.4307 2184 23.3508 2226 23.7999 2117 22.6344
18 3292 35.1973 3297 35.2507 3348 35.7960 3355 35.8708
19 2178 23.2866 2278 24.3558 2231 23.8533 2323 24.8370
20 689 7.3666 740 7.9119 716 7.6553 777 8.3075
21 119 1.2723 133 1.4220 123 1.3151 138 1.4755
22 14 0.1497 17 0.1818 18 0.1925 20 0.2138
23 3 0.0321 4 0.0428 3 0.0321 4 0.0428
19 9353 17.9995 9353 18.0546 9353 18.0481 9353 18.1041

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 0.0198 1 0.0198 0 0 0 0
7 1 0.0198 1 0.0198 0 0 0 0
8 0 0 0 0 0 0 0 0
9 0 0 0 0 0 0 0 0
10 2 0.0397 1 0.0198 0 0 0 0
11 1 0.0198 2 0.0397 0 0 0 0
12 4 0.0793 4 0.0793 0 0 0 0
13 5 0.0992 5 0.0992 0 0 0 0
14 3 0.0595 3 0.0595 2 0.0397 2 0.0397
15 3 0.0595 3 0.0595 5 0.0992 5 0.0992
16 70 1.3883 58 1.1503 64 1.2693 54 1.0710
17 565 11.2059 532 10.5514 518 10.2737 481 9.5399
18 1428 28.3221 1388 27.5288 1427 28.3023 1379 27.3503
19 1661 32.9433 1675 33.2209 1675 33.2209 1694 33.5978
20 966 19.1591 1012 20.0714 1007 19.9722 1052 20.8647
21 288 5.7120 303 6.0095 296 5.8707 316 6.2674
22 40 0.7933 50 0.9917 44 0.8727 55 1.0908
23 4 0.0793 3 0.0595 4 0.0793 3 0.0595
24 0 0 1 0.0198 0 0 1 0.0198
19 5042 18.7568 5042 18.8064 5042 18.8140 5042 18.8677

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 0.0490 1 0.0490 0 0 0 0
13 1 0.0490 1 0.0490 0 0 0 0
14 2 0.0980 2 0.0980 0 0 0 0
15 1 0.0490 1 0.0490 3 0.1470 3 0.1470
16 3 0.1470 1 0.0490 0 0 0 0
17 72 3.5277 65 3.1847 62 3.0377 51 2.4988
18 330 16.1685 318 15.5806 311 15.2376 302 14.7967
19 652 31.9451 637 31.2102 658 32.2391 641 31.4062
20 602 29.4953 617 30.2303 610 29.8873 625 30.6222
21 280 13.7188 284 13.9147 291 14.2577 298 14.6007
22 83 4.0666 96 4.7036 90 4.4096 101 4.9486
23 13 0.6369 17 0.8329 15 0.7349 19 0.9309
24 1 0.0490 1 0.0490 1 0.0490 1 0.0490
13 2041 19.4694 2041 19.5233 2041 19.5292 2041 19.5826

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 0.5682 1 0.1420 2 0.2841 1 0.1420
18 51 7.2443 51 7.2443 47 6.6761 45 6.3920
19 179 25.4261 178 25.2841 179 25.4261 178 25.2841
20 224 31.8182 221 31.3920 222 31.5341 218 30.9659
21 166 23.5795 162 23.0114 169 24.0057 165 23.4375
22 58 8.2386 68 9.6591 57 8.0966 68 9.6591
23 21 2.9830 22 3.1250 26 3.6932 27 3.8352
24 1 0.1420 1 0.1420 2 0.2841 2 0.2841
8 704 20.0795 704 20.1207 704 20.1278 704 20.1690

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 0.4950 1 0.4950 1 0.4950 1 0.4950
18 6 2.9703 6 2.9703 4 1.9802 4 1.9802
19 29 14.3564 28 13.8614 27 13.3663 26 12.8713
20 64 31.6832 61 30.1980 67 33.1683 63 31.1881
21 57 28.2178 60 29.7030 57 28.2178 61 30.1980
22 26 12.8713 27 13.3663 27 13.3663 28 13.8614
23 14 6.9307 14 6.9307 14 6.9307 14 6.9307
24 5 2.4752 4 1.9802 5 2.4752 4 1.9802
25 0 0 1 0.4950 0 0 1 0.4950
9 202 20.6287 202 20.6634 202 20.6683 202 20.7079

Double-dummy stats for 59,740 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	0.0157	1	0.0157	0	0	0	0
10	0	0	0	0	0	0	0	0
11	1	0.0157	1	0.0157	0	0	0	0
12	21	0.3287	15	0.2348	6	0.0939	3	0.0470
13	668	10.4571	517	8.0933	594	9.2987	443	6.9349
14	3228	50.5322	3105	48.6068	3258	51.0019	3127	48.9512
15	2056	32.1853	2266	35.4728	2099	32.8585	2310	36.1616
16	362	5.6669	426	6.6688	371	5.8078	439	6.8723
17	45	0.7044	51	0.7984	50	0.7827	55	0.8610
18	3	0.0470	3	0.0470	6	0.0939	7	0.1096
19	2	0.0313	2	0.0313	3	0.0470	2	0.0313
20	1	0.0157	1	0.0157	1	0.0157	2	0.0313
12	6388	14.3483	6388	14.4296	6388	14.3804	6388	14.4624

Tricks	Longest by Longer		Longest Right-sided		Best Fit by Longer		Best Fit Right-sided
11	3	0.0478	2	0.0319	0	0	0	0
12	7	0.1115	7	0.1115	0	0	0	0
13	71	1.1308	49	0.7804	58	0.9237	36	0.5733
14	959	15.2731	821	13.0753	956	15.2254	821	13.0753
15	3029	48.2402	2983	47.5076	3044	48.4791	2993	47.6668
16	1859	29.6066	2023	32.2185	1863	29.6703	2026	32.2663
17	305	4.8575	343	5.4627	308	4.9052	347	5.5264
18	42	0.6689	46	0.7326	45	0.7167	50	0.7963
19	3	0.0478	3	0.0478	4	0.0637	4	0.0637
20	1	0.0159	1	0.0159	1	0.0159	1	0.0159
21	0	0	1	0.0159	0	0	1	0.0159
11	6279	15.2354	6279	15.3061	6279	15.2489	6279	15.3192

Tricks	Longest by Longer		Longest Right-sided		Best Fit by Longer		Best Fit Right-sided
5	1	0.0063	1	0.0063	0	0	0	0
6	2	0.0126	2	0.0126	0	0	0	0
7	1	0.0063	1	0.0063	0	0	0	0
8	3	0.0188	2	0.0126	0	0	0	0
9	1	0.0063	2	0.0126	0	0	0	0
10	7	0.0440	7	0.0440	0	0	0	0
11	6	0.0377	5	0.0314	0	0	0	0
12	17	0.1068	17	0.1068	0	0	0	0
13	97	0.6091	81	0.5086	22	0.1381	14	0.0879
14	633	3.9749	547	3.4349	463	2.9074	379	2.3799
15	3267	20.5149	3023	18.9827	3194	20.0565	2922	18.3485
16	6725	42.2292	6723	42.2166	6908	43.3783	6906	43.3658
17	4042	25.3815	4269	26.8069	4157	26.1036	4390	27.5667
18	962	6.0408	1055	6.6248	1008	6.3297	1111	6.9765
19	141	0.8854	168	1.0549	149	0.9356	175	1.0989
20	18	0.1130	20	0.1256	21	0.1319	25	0.1570
21	1	0.0063	1	0.0063	1	0.0063	1	0.0063
22	1	0.0063	1	0.0063	2	0.0126	2	0.0126
18	15925	16.0902	15925	16.1513	15925	16.1592	15925	16.2218

Tricks	Longest by Longer		Longest Right-sided		Best Fit by Longer		Best Fit Right-sided
3	1	0.0073	1	0.0073	0	0	0	0
4	1	0.0073	1	0.0073	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	0.0145	2	0.0145	0	0	0	0
9	2	0.0145	2	0.0145	0	0	0	0
10	5	0.0363	5	0.0363	0	0	0	0
11	5	0.0363	5	0.0363	0	0	0	0
12	7	0.0508	4	0.0291	0	0	0	0
13	14	0.1017	15	0.1089	1	0.0073	1	0.0073
14	75	0.5447	61	0.4430	40	0.2905	28	0.2034
15	693	5.0330	609	4.4230	623	4.5247	538	3.9073
16	3199	23.2334	2989	21.7082	3162	22.9646	2943	21.3741
17	5332	38.7247	5348	38.8409	5421	39.3711	5432	39.4509
18	3459	25.1217	3665	26.6178	3520	25.5647	3733	27.1116
19	854	6.2023	928	6.7398	872	6.3331	950	6.8996
20	118	0.8570	130	0.9441	126	0.9151	138	1.0023
21	1	0.0073	3	0.0218	2	0.0145	4	0.0291
22	1	0.0073	1	0.0073	2	0.0145	2	0.0145
20	13769	17.0365	13769	17.0967	13769	17.0819	13769	17.1428

Tricks	Longest by Longer		Longest Right-sided		Best Fit by Longer		Best Fit Right-sided
5	1	0.0107	1	0.0107	0	0	0	0
6	0	0	0	0	0	0	0	0
7	1	0.0107	1	0.0107	0	0	0	0
8	0	0	0	0	0	0	0	0
9	1	0.0107	1	0.0107	0	0	0	0
10	1	0.0107	1	0.0107	0	0	0	0
11	0	0	0	0	0	0	0	0
12	9	0.0962	8	0.0855	0	0	0	0
13	8	0.0855	9	0.0962	1	0.0107	1	0.0107
14	6	0.0642	6	0.0642	10	0.1069	10	0.1069
15	53	0.5667	46	0.4918	44	0.4704	39	0.4170
16	693	7.4094	627	6.7037	633	6.7679	569	6.0836
17	2285	24.4307	2184	23.3508	2226	23.7999	2117	22.6344
18	3292	35.1973	3297	35.2507	3348	35.7960	3355	35.8708
19	2178	23.2866	2278	24.3558	2231	23.8533	2323	24.8370
20	689	7.3666	740	7.9119	716	7.6553	777	8.3075
21	119	1.2723	133	1.4220	123	1.3151	138	1.4755
22	14	0.1497	17	0.1818	18	0.1925	20	0.2138
23	3	0.0321	4	0.0428	3	0.0321	4	0.0428
19	9353	17.9995	9353	18.0546	9353	18.0481	9353	18.1041

Tricks	Longest by Longer		Longest Right-sided		Best Fit by Longer		Best Fit Right-sided
6	1	0.0198	1	0.0198	0	0	0	0
7	1	0.0198	1	0.0198	0	0	0	0
8	0	0	0	0	0	0	0	0
9	0	0	0	0	0	0	0	0
10	2	0.0397	1	0.0198	0	0	0	0
11	1	0.0198	2	0.0397	0	0	0	0
12	4	0.0793	4	0.0793	0	0	0	0
13	5	0.0992	5	0.0992	0	0	0	0
14	3	0.0595	3	0.0595	2	0.0397	2	0.0397
15	3	0.0595	3	0.0595	5	0.0992	5	0.0992
16	70	1.3883	58	1.1503	64	1.2693	54	1.0710
17	565	11.2059	532	10.5514	518	10.2737	481	9.5399
18	1428	28.3221	1388	27.5288	1427	28.3023	1379	27.3503
19	1661	32.9433	1675	33.2209	1675	33.2209	1694	33.5978
20	966	19.1591	1012	20.0714	1007	19.9722	1052	20.8647
21	288	5.7120	303	6.0095	296	5.8707	316	6.2674
22	40	0.7933	50	0.9917	44	0.8727	55	1.0908
23	4	0.0793	3	0.0595	4	0.0793	3	0.0595
24	0	0	1	0.0198	0	0	1	0.0198
19	5042	18.7568	5042	18.8064	5042	18.8140	5042	18.8677

Tricks	Longest by Longer		Longest Right-sided		Best Fit by Longer		Best Fit Right-sided
12	1	0.0490	1	0.0490	0	0	0	0
13	1	0.0490	1	0.0490	0	0	0	0
14	2	0.0980	2	0.0980	0	0	0	0
15	1	0.0490	1	0.0490	3	0.1470	3	0.1470
16	3	0.1470	1	0.0490	0	0	0	0
17	72	3.5277	65	3.1847	62	3.0377	51	2.4988
18	330	16.1685	318	15.5806	311	15.2376	302	14.7967
19	652	31.9451	637	31.2102	658	32.2391	641	31.4062
20	602	29.4953	617	30.2303	610	29.8873	625	30.6222
21	280	13.7188	284	13.9147	291	14.2577	298	14.6007
22	83	4.0666	96	4.7036	90	4.4096	101	4.9486
23	13	0.6369	17	0.8329	15	0.7349	19	0.9309
24	1	0.0490	1	0.0490	1	0.0490	1	0.0490
13	2041	19.4694	2041	19.5233	2041	19.5292	2041	19.5826

Tricks	Longest by Longer		Longest Right-sided		Best Fit by Longer		Best Fit Right-sided
17	4	0.5682	1	0.1420	2	0.2841	1	0.1420
18	51	7.2443	51	7.2443	47	6.6761	45	6.3920
19	179	25.4261	178	25.2841	179	25.4261	178	25.2841
20	224	31.8182	221	31.3920	222	31.5341	218	30.9659
21	166	23.5795	162	23.0114	169	24.0057	165	23.4375
22	58	8.2386	68	9.6591	57	8.0966	68	9.6591
23	21	2.9830	22	3.1250	26	3.6932	27	3.8352
24	1	0.1420	1	0.1420	2	0.2841	2	0.2841
8	704	20.0795	704	20.1207	704	20.1278	704	20.1690

Tricks	Longest by Longer		Longest Right-sided		Best Fit by Longer		Best Fit Right-sided
17	1	0.4950	1	0.4950	1	0.4950	1	0.4950
18	6	2.9703	6	2.9703	4	1.9802	4	1.9802
19	29	14.3564	28	13.8614	27	13.3663	26	12.8713
20	64	31.6832	61	30.1980	67	33.1683	63	31.1881
21	57	28.2178	60	29.7030	57	28.2178	61	30.1980
22	26	12.8713	27	13.3663	27	13.3663	28	13.8614
23	14	6.9307	14	6.9307	14	6.9307	14	6.9307
24	5	2.4752	4	1.9802	5	2.4752	4	1.9802
25	0	0	1	0.4950	0	0	1	0.4950
9	202	20.6287	202	20.6634	202	20.6683	202	20.7079