Stats 8H30 Main

RP BBO Matches

by Richard Pavlicek

Double-dummy stats for 51,475 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
0 888 1.7251 882 1.7135 824 1.6008 825 1.6027 9913593383 1.5612
1 1968 3.8232 1961 3.8096 1924 3.7377 1928 3.7455 23145762677 3.6449
2 3072 5.9679 3098 6.0185 2919 5.6707 2923 5.6785 37977932067 5.9806
3 4304 8.3613 4316 8.3847 4264 8.2836 4275 8.3050 52871069846 8.3260
4 5570 10.8208 5533 10.7489 5440 10.5682 5409 10.5080 67524194742 10.6335
5 6440 12.5109 6392 12.4177 6380 12.3944 6370 12.3749 80101714628 12.6142
6 7288 14.1583 7322 14.2244 7526 14.6207 7530 14.6285 90730441332 14.2880
7 6828 13.2647 6806 13.2220 6688 12.9927 6743 13.0996 84402158672 13.2914
8 5704 11.0811 5745 11.1608 5705 11.0831 5693 11.0597 71237104568 11.2182
9 3847 7.4735 3866 7.5104 3924 7.6231 3944 7.6620 47702049563 7.5120
10 2613 5.0763 2613 5.0763 2717 5.2783 2682 5.2103 32569065440 5.1289
11 1572 3.0539 1557 3.0248 1712 3.3259 1700 3.3026 20600866092 3.2442
12 1001 1.9446 1006 1.9543 1035 2.0107 1035 2.0107 11865157167 1.8685
13 380 0.7382 378 0.7343 417 0.8101 418 0.8120 4372449423 0.6886
14 51475 5.9768 51475 5.9790 51475 6.0415 51475 6.0394 635013559600 6.0066

Value	North	South	West	East	Empirical
0	888	1.7251	882	1.7135	824	1.6008	825	1.6027	9913593383	1.5612
1	1968	3.8232	1961	3.8096	1924	3.7377	1928	3.7455	23145762677	3.6449
2	3072	5.9679	3098	6.0185	2919	5.6707	2923	5.6785	37977932067	5.9806
3	4304	8.3613	4316	8.3847	4264	8.2836	4275	8.3050	52871069846	8.3260
4	5570	10.8208	5533	10.7489	5440	10.5682	5409	10.5080	67524194742	10.6335
5	6440	12.5109	6392	12.4177	6380	12.3944	6370	12.3749	80101714628	12.6142
6	7288	14.1583	7322	14.2244	7526	14.6207	7530	14.6285	90730441332	14.2880
7	6828	13.2647	6806	13.2220	6688	12.9927	6743	13.0996	84402158672	13.2914
8	5704	11.0811	5745	11.1608	5705	11.0831	5693	11.0597	71237104568	11.2182
9	3847	7.4735	3866	7.5104	3924	7.6231	3944	7.6620	47702049563	7.5120
10	2613	5.0763	2613	5.0763	2717	5.2783	2682	5.2103	32569065440	5.1289
11	1572	3.0539	1557	3.0248	1712	3.3259	1700	3.3026	20600866092	3.2442
12	1001	1.9446	1006	1.9543	1035	2.0107	1035	2.0107	11865157167	1.8685
13	380	0.7382	378	0.7343	417	0.8101	418	0.8120	4372449423	0.6886
14	51475	5.9768	51475	5.9790	51475	6.0415	51475	6.0394	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
0 593 1.1520 593 1.1520 562 1.0918 557 1.0821 6949893015 1.0944
1 1487 2.8888 1491 2.8966 1440 2.7975 1452 2.8208 17646817412 2.7790
2 2794 5.4279 2770 5.3813 2610 5.0704 2608 5.0665 32992452829 5.1956
3 4079 7.9242 4096 7.9573 4072 7.9106 4085 7.9359 50476652542 7.9489
4 5443 10.5741 5456 10.5993 5333 10.3604 5301 10.2982 66372975438 10.4522
5 6310 12.2584 6299 12.2370 6365 12.3652 6385 12.4041 77821925315 12.2552
6 6674 12.9655 6635 12.8898 6511 12.6489 6511 12.6489 82551854345 13.0000
7 6418 12.4682 6408 12.4488 6457 12.5440 6453 12.5362 80760822737 12.7180
8 5957 11.5726 6023 11.7008 6000 11.6561 6014 11.6833 73465633954 11.5691
9 4795 9.3152 4774 9.2744 4956 9.6280 4961 9.6377 60489162482 9.5256
10 3573 6.9412 3565 6.9257 3584 6.9626 3560 6.9160 43661750688 6.8757
11 2054 3.9903 2082 4.0447 2270 4.4099 2258 4.3866 26377787548 4.1539
12 1028 1.9971 1020 1.9815 1026 1.9932 1044 2.0282 12128527136 1.9100
13 270 0.5245 263 0.5109 289 0.5614 286 0.5556 3317304159 0.5224
14 51475 6.2668 51475 6.2684 51475 6.3289 51475 6.3280 635013559600 6.2957

Value	North	South	West	East	Empirical
0	593	1.1520	593	1.1520	562	1.0918	557	1.0821	6949893015	1.0944
1	1487	2.8888	1491	2.8966	1440	2.7975	1452	2.8208	17646817412	2.7790
2	2794	5.4279	2770	5.3813	2610	5.0704	2608	5.0665	32992452829	5.1956
3	4079	7.9242	4096	7.9573	4072	7.9106	4085	7.9359	50476652542	7.9489
4	5443	10.5741	5456	10.5993	5333	10.3604	5301	10.2982	66372975438	10.4522
5	6310	12.2584	6299	12.2370	6365	12.3652	6385	12.4041	77821925315	12.2552
6	6674	12.9655	6635	12.8898	6511	12.6489	6511	12.6489	82551854345	13.0000
7	6418	12.4682	6408	12.4488	6457	12.5440	6453	12.5362	80760822737	12.7180
8	5957	11.5726	6023	11.7008	6000	11.6561	6014	11.6833	73465633954	11.5691
9	4795	9.3152	4774	9.2744	4956	9.6280	4961	9.6377	60489162482	9.5256
10	3573	6.9412	3565	6.9257	3584	6.9626	3560	6.9160	43661750688	6.8757
11	2054	3.9903	2082	4.0447	2270	4.4099	2258	4.3866	26377787548	4.1539
12	1028	1.9971	1020	1.9815	1026	1.9932	1044	2.0282	12128527136	1.9100
13	270	0.5245	263	0.5109	289	0.5614	286	0.5556	3317304159	0.5224
14	51475	6.2668	51475	6.2684	51475	6.3289	51475	6.3280	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
0 602 1.1695 597 1.1598 604 1.1734 594 1.1540 6949893015 1.0944
1 1476 2.8674 1479 2.8732 1436 2.7897 1447 2.8111 17646817412 2.7790
2 2713 5.2705 2694 5.2336 2586 5.0238 2567 4.9869 32992452829 5.1956
3 4169 8.0991 4203 8.1651 4060 7.8873 4082 7.9301 50476652542 7.9489
4 5407 10.5041 5379 10.4497 5403 10.4964 5398 10.4866 66372975438 10.4522
5 6296 12.2312 6292 12.2234 6305 12.2487 6263 12.1671 77821925315 12.2552
6 6643 12.9053 6627 12.8742 6602 12.8256 6635 12.8898 82551854345 13.0000
7 6497 12.6217 6518 12.6625 6451 12.5323 6484 12.5964 80760822737 12.7180
8 5859 11.3822 5872 11.4075 6014 11.6833 5996 11.6484 73465633954 11.5691
9 4924 9.5658 4920 9.5580 4910 9.5386 4933 9.5833 60489162482 9.5256
10 3514 6.8266 3519 6.8363 3596 6.9859 3579 6.9529 43661750688 6.8757
11 2066 4.0136 2071 4.0233 2153 4.1826 2147 4.1710 26377787548 4.1539
12 1025 1.9913 1018 1.9777 1055 2.0495 1048 2.0359 12128527136 1.9100
13 284 0.5517 286 0.5556 300 0.5828 302 0.5867 3317304159 0.5224
14 51475 6.2729 51475 6.2749 51475 6.3176 51475 6.3177 635013559600 6.2957

Value	North	South	West	East	Empirical
0	602	1.1695	597	1.1598	604	1.1734	594	1.1540	6949893015	1.0944
1	1476	2.8674	1479	2.8732	1436	2.7897	1447	2.8111	17646817412	2.7790
2	2713	5.2705	2694	5.2336	2586	5.0238	2567	4.9869	32992452829	5.1956
3	4169	8.0991	4203	8.1651	4060	7.8873	4082	7.9301	50476652542	7.9489
4	5407	10.5041	5379	10.4497	5403	10.4964	5398	10.4866	66372975438	10.4522
5	6296	12.2312	6292	12.2234	6305	12.2487	6263	12.1671	77821925315	12.2552
6	6643	12.9053	6627	12.8742	6602	12.8256	6635	12.8898	82551854345	13.0000
7	6497	12.6217	6518	12.6625	6451	12.5323	6484	12.5964	80760822737	12.7180
8	5859	11.3822	5872	11.4075	6014	11.6833	5996	11.6484	73465633954	11.5691
9	4924	9.5658	4920	9.5580	4910	9.5386	4933	9.5833	60489162482	9.5256
10	3514	6.8266	3519	6.8363	3596	6.9859	3579	6.9529	43661750688	6.8757
11	2066	4.0136	2071	4.0233	2153	4.1826	2147	4.1710	26377787548	4.1539
12	1025	1.9913	1018	1.9777	1055	2.0495	1048	2.0359	12128527136	1.9100
13	284	0.5517	286	0.5556	300	0.5828	302	0.5867	3317304159	0.5224
14	51475	6.2729	51475	6.2749	51475	6.3176	51475	6.3177	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
0 647 1.2569 649 1.2608 542 1.0529 550 1.0685 6949893015 1.0944
1 1471 2.8577 1467 2.8499 1435 2.7878 1426 2.7703 17646817412 2.7790
2 2705 5.2550 2696 5.2375 2623 5.0957 2626 5.1015 32992452829 5.1956
3 4206 8.1710 4186 8.1321 4004 7.7785 4026 7.8213 50476652542 7.9489
4 5329 10.3526 5365 10.4225 5342 10.3779 5331 10.3565 66372975438 10.4522
5 6199 12.0427 6207 12.0583 6424 12.4798 6408 12.4488 77821925315 12.2552
6 6691 12.9985 6677 12.9713 6625 12.8703 6611 12.8431 82551854345 13.0000
7 6597 12.8159 6575 12.7732 6570 12.7635 6588 12.7984 80760822737 12.7180
8 6049 11.7513 6017 11.6892 5798 11.2637 5849 11.3628 73465633954 11.5691
9 4798 9.3210 4865 9.4512 4970 9.6552 4908 9.5347 60489162482 9.5256
10 3432 6.6673 3439 6.6809 3573 6.9412 3572 6.9393 43661750688 6.8757
11 2098 4.0758 2072 4.0253 2210 4.2933 2216 4.3050 26377787548 4.1539
12 1006 1.9543 1010 1.9621 1033 2.0068 1040 2.0204 12128527136 1.9100
13 247 0.4798 250 0.4857 326 0.6333 324 0.6294 3317304159 0.5224
14 51475 6.2630 51475 6.2646 51475 6.3275 51475 6.3264 635013559600 6.2957

Value	North	South	West	East	Empirical
0	647	1.2569	649	1.2608	542	1.0529	550	1.0685	6949893015	1.0944
1	1471	2.8577	1467	2.8499	1435	2.7878	1426	2.7703	17646817412	2.7790
2	2705	5.2550	2696	5.2375	2623	5.0957	2626	5.1015	32992452829	5.1956
3	4206	8.1710	4186	8.1321	4004	7.7785	4026	7.8213	50476652542	7.9489
4	5329	10.3526	5365	10.4225	5342	10.3779	5331	10.3565	66372975438	10.4522
5	6199	12.0427	6207	12.0583	6424	12.4798	6408	12.4488	77821925315	12.2552
6	6691	12.9985	6677	12.9713	6625	12.8703	6611	12.8431	82551854345	13.0000
7	6597	12.8159	6575	12.7732	6570	12.7635	6588	12.7984	80760822737	12.7180
8	6049	11.7513	6017	11.6892	5798	11.2637	5849	11.3628	73465633954	11.5691
9	4798	9.3210	4865	9.4512	4970	9.6552	4908	9.5347	60489162482	9.5256
10	3432	6.6673	3439	6.6809	3573	6.9412	3572	6.9393	43661750688	6.8757
11	2098	4.0758	2072	4.0253	2210	4.2933	2216	4.3050	26377787548	4.1539
12	1006	1.9543	1010	1.9621	1033	2.0068	1040	2.0204	12128527136	1.9100
13	247	0.4798	250	0.4857	326	0.6333	324	0.6294	3317304159	0.5224
14	51475	6.2630	51475	6.2646	51475	6.3275	51475	6.3264	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
0 616 1.1967 628 1.2200 601 1.1676 599 1.1637 6949893015 1.0944
1 1541 2.9937 1509 2.9315 1402 2.7237 1397 2.7139 17646817412 2.7790
2 2616 5.0821 2639 5.1268 2664 5.1753 2674 5.1948 32992452829 5.1956
3 3969 7.7105 3993 7.7572 4043 7.8543 4064 7.8951 50476652542 7.9489
4 5445 10.5780 5418 10.5255 5258 10.2147 5240 10.1797 66372975438 10.4522
5 6518 12.6625 6508 12.6430 6230 12.1030 6226 12.0952 77821925315 12.2552
6 6616 12.8528 6579 12.7810 6666 12.9500 6673 12.9636 82551854345 13.0000
7 6710 13.0355 6737 13.0879 6558 12.7402 6534 12.6935 80760822737 12.7180
8 5767 11.2035 5761 11.1918 6164 11.9747 6179 12.0039 73465633954 11.5691
9 4748 9.2239 4769 9.2647 4911 9.5406 4913 9.5444 60489162482 9.5256
10 3538 6.8732 3548 6.8927 3459 6.7198 3466 6.7334 43661750688 6.8757
11 2103 4.0855 2103 4.0855 2100 4.0797 2105 4.0894 26377787548 4.1539
12 1020 1.9815 1019 1.9796 1103 2.1428 1092 2.1214 12128527136 1.9100
13 268 0.5206 264 0.5129 316 0.6139 313 0.6081 3317304159 0.5224
14 51475 6.2714 51475 6.2728 51475 6.3232 51475 6.3223 635013559600 6.2957

Value	North	South	West	East	Empirical
0	616	1.1967	628	1.2200	601	1.1676	599	1.1637	6949893015	1.0944
1	1541	2.9937	1509	2.9315	1402	2.7237	1397	2.7139	17646817412	2.7790
2	2616	5.0821	2639	5.1268	2664	5.1753	2674	5.1948	32992452829	5.1956
3	3969	7.7105	3993	7.7572	4043	7.8543	4064	7.8951	50476652542	7.9489
4	5445	10.5780	5418	10.5255	5258	10.2147	5240	10.1797	66372975438	10.4522
5	6518	12.6625	6508	12.6430	6230	12.1030	6226	12.0952	77821925315	12.2552
6	6616	12.8528	6579	12.7810	6666	12.9500	6673	12.9636	82551854345	13.0000
7	6710	13.0355	6737	13.0879	6558	12.7402	6534	12.6935	80760822737	12.7180
8	5767	11.2035	5761	11.1918	6164	11.9747	6179	12.0039	73465633954	11.5691
9	4748	9.2239	4769	9.2647	4911	9.5406	4913	9.5444	60489162482	9.5256
10	3538	6.8732	3548	6.8927	3459	6.7198	3466	6.7334	43661750688	6.8757
11	2103	4.0855	2103	4.0855	2100	4.0797	2105	4.0894	26377787548	4.1539
12	1020	1.9815	1019	1.9796	1103	2.1428	1092	2.1214	12128527136	1.9100
13	268	0.5206	264	0.5129	316	0.6139	313	0.6081	3317304159	0.5224
14	51475	6.2714	51475	6.2728	51475	6.3232	51475	6.3223	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 8159 15.8504 8159 15.8504 8251 16.0291 8251 16.0291 13006498437504 15.7363
8 23542 45.7348 23542 45.7348 23385 45.4298 23385 45.4298 37809373653909 45.7447
9 14403 27.9806 14403 27.9806 14583 28.3303 14583 28.3303 23225440992325 28.0999
10 4443 8.6314 4443 8.6314 4345 8.4410 4345 8.4410 7168401039800 8.6729
11 854 1.6591 854 1.6591 815 1.5833 815 1.5833 1307227435020 1.5816
12 70 0.1360 70 0.1360 93 0.1807 93 0.1807 130732315831 0.1582
13 4 0.0078 4 0.0078 3 0.0058 3 0.0058 5414950295 0.0066
7 51475 8.3495 51475 8.3495 51475 8.3468 51475 8.3468 82653088824684 8.3512

Value	North	South	West	East	Theoretical (exact)
7	8159	15.8504	8159	15.8504	8251	16.0291	8251	16.0291	13006498437504	15.7363
8	23542	45.7348	23542	45.7348	23385	45.4298	23385	45.4298	37809373653909	45.7447
9	14403	27.9806	14403	27.9806	14583	28.3303	14583	28.3303	23225440992325	28.0999
10	4443	8.6314	4443	8.6314	4345	8.4410	4345	8.4410	7168401039800	8.6729
11	854	1.6591	854	1.6591	815	1.5833	815	1.5833	1307227435020	1.5816
12	70	0.1360	70	0.1360	93	0.1807	93	0.1807	130732315831	0.1582
13	4	0.0078	4	0.0078	3	0.0058	3	0.0058	5414950295	0.0066
7	51475	8.3495	51475	8.3495	51475	8.3468	51475	8.3468	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 3 0.0058 3 0.0058 4 0.0078 3 0.0058 22876394 0.0036
1 22 0.0427 24 0.0466 19 0.0369 20 0.0389 251246691 0.0396
2 149 0.2895 143 0.2778 139 0.2700 137 0.2661 1556124656 0.2451
3 484 0.9403 484 0.9403 487 0.9461 487 0.9461 5892722789 0.9280
4 1375 2.6712 1392 2.7042 1351 2.6246 1351 2.6246 16409883547 2.5842
5 3066 5.9563 3047 5.9194 2947 5.7251 2954 5.7387 35643298455 5.6130
6 5015 9.7426 4967 9.6493 4819 9.3618 4812 9.3482 62031256233 9.7685
7 7424 14.4225 7448 14.4692 7154 13.8980 7168 13.9252 89999744190 14.1729
8 8880 17.2511 8896 17.2822 8869 17.2297 8879 17.2492 110099842849 17.3382
9 8978 17.4415 8983 17.4512 9235 17.9407 9222 17.9155 113173167471 17.8222
10 7778 15.1102 7806 15.1646 7754 15.0636 7752 15.0597 95919764225 15.1052
11 5000 9.7135 4987 9.6882 5218 10.1370 5206 10.1136 64150449024 10.1022
12 2597 5.0452 2592 5.0355 2663 5.1734 2675 5.1967 31112561346 4.8995
13 704 1.3677 703 1.3657 816 1.5852 809 1.5716 8750621730 1.3780
14 51475 8.3458 51475 8.3473 51475 8.4013 51475 8.4004 635013559600 8.3753

Value	North	South	West	East	Empirical
0	3	0.0058	3	0.0058	4	0.0078	3	0.0058	22876394	0.0036
1	22	0.0427	24	0.0466	19	0.0369	20	0.0389	251246691	0.0396
2	149	0.2895	143	0.2778	139	0.2700	137	0.2661	1556124656	0.2451
3	484	0.9403	484	0.9403	487	0.9461	487	0.9461	5892722789	0.9280
4	1375	2.6712	1392	2.7042	1351	2.6246	1351	2.6246	16409883547	2.5842
5	3066	5.9563	3047	5.9194	2947	5.7251	2954	5.7387	35643298455	5.6130
6	5015	9.7426	4967	9.6493	4819	9.3618	4812	9.3482	62031256233	9.7685
7	7424	14.4225	7448	14.4692	7154	13.8980	7168	13.9252	89999744190	14.1729
8	8880	17.2511	8896	17.2822	8869	17.2297	8879	17.2492	110099842849	17.3382
9	8978	17.4415	8983	17.4512	9235	17.9407	9222	17.9155	113173167471	17.8222
10	7778	15.1102	7806	15.1646	7754	15.0636	7752	15.0597	95919764225	15.1052
11	5000	9.7135	4987	9.6882	5218	10.1370	5206	10.1136	64150449024	10.1022
12	2597	5.0452	2592	5.0355	2663	5.1734	2675	5.1967	31112561346	4.8995
13	704	1.3677	703	1.3657	816	1.5852	809	1.5716	8750621730	1.3780
14	51475	8.3458	51475	8.3473	51475	8.4013	51475	8.4004	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 3 0.0058 3 0.0058 2 0.0039 2 0.0039 10461673 0.0016
6 94 0.1826 82 0.1593 94 0.1826 96 0.1865 1222077835 0.1924
7 8618 16.7421 8611 16.7285 8663 16.8295 8670 16.8431 105351212255 16.5904
8 23292 45.2492 23308 45.2802 23149 44.9713 23134 44.9422 287234089436 45.2327
9 14124 27.4386 14134 27.4580 14352 27.8815 14358 27.8932 175437245133 27.6273
10 4423 8.5925 4418 8.5828 4310 8.3730 4310 8.3730 54701014789 8.6141
11 847 1.6455 845 1.6416 809 1.5716 809 1.5716 10008187498 1.5761
12 70 0.1360 70 0.1360 93 0.1807 93 0.1807 1006364496 0.1585
13 4 0.0078 4 0.0078 3 0.0058 3 0.0058 42906485 0.0068
9 51475 8.3302 51475 8.3307 51475 8.3289 51475 8.3288 635013559600 8.3327

Value	North	South	West	East	Empirical
5	3	0.0058	3	0.0058	2	0.0039	2	0.0039	10461673	0.0016
6	94	0.1826	82	0.1593	94	0.1826	96	0.1865	1222077835	0.1924
7	8618	16.7421	8611	16.7285	8663	16.8295	8670	16.8431	105351212255	16.5904
8	23292	45.2492	23308	45.2802	23149	44.9713	23134	44.9422	287234089436	45.2327
9	14124	27.4386	14134	27.4580	14352	27.8815	14358	27.8932	175437245133	27.6273
10	4423	8.5925	4418	8.5828	4310	8.3730	4310	8.3730	54701014789	8.6141
11	847	1.6455	845	1.6416	809	1.5716	809	1.5716	10008187498	1.5761
12	70	0.1360	70	0.1360	93	0.1807	93	0.1807	1006364496	0.1585
13	4	0.0078	4	0.0078	3	0.0058	3	0.0058	42906485	0.0068
9	51475	8.3302	51475	8.3307	51475	8.3289	51475	8.3288	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 0.0019 1 0.0019 0 0 0 0 1513990 0.0002
1 15 0.0291 16 0.0311 14 0.0272 14 0.0272 132231913 0.0208
2 138 0.2681 134 0.2603 116 0.2254 111 0.2156 1339624042 0.2110
3 467 0.9072 467 0.9072 477 0.9267 480 0.9325 5671089748 0.8931
4 1327 2.5780 1335 2.5935 1327 2.5780 1318 2.5605 16177592015 2.5476
5 3049 5.9233 3045 5.9155 2940 5.7115 2958 5.7465 35415185536 5.5771
6 5001 9.7154 4956 9.6280 4786 9.2977 4775 9.2763 61775936908 9.7283
7 7414 14.4031 7436 14.4458 7148 13.8864 7163 13.9155 89711329037 14.1275
8 8857 17.2064 8858 17.2084 8850 17.1928 8859 17.2103 109962826727 17.3166
9 9014 17.5114 9023 17.5289 9236 17.9427 9225 17.9213 113305081446 17.8429
10 7775 15.1044 7810 15.1724 7785 15.1238 7773 15.1005 96187452851 15.1473
11 5034 9.7795 5022 9.7562 5232 10.1642 5233 10.1661 64547826059 10.1648
12 2643 5.1345 2636 5.1209 2718 5.2802 2725 5.2938 31646530587 4.9836
13 740 1.4376 736 1.4298 846 1.6435 841 1.6338 9139338741 1.4392
14 51475 8.3651 51475 8.3662 51475 8.4192 51475 8.4187 635013559600 8.3938

Value	North	South	West	East	Empirical
0	1	0.0019	1	0.0019	0	0	0	0	1513990	0.0002
1	15	0.0291	16	0.0311	14	0.0272	14	0.0272	132231913	0.0208
2	138	0.2681	134	0.2603	116	0.2254	111	0.2156	1339624042	0.2110
3	467	0.9072	467	0.9072	477	0.9267	480	0.9325	5671089748	0.8931
4	1327	2.5780	1335	2.5935	1327	2.5780	1318	2.5605	16177592015	2.5476
5	3049	5.9233	3045	5.9155	2940	5.7115	2958	5.7465	35415185536	5.5771
6	5001	9.7154	4956	9.6280	4786	9.2977	4775	9.2763	61775936908	9.7283
7	7414	14.4031	7436	14.4458	7148	13.8864	7163	13.9155	89711329037	14.1275
8	8857	17.2064	8858	17.2084	8850	17.1928	8859	17.2103	109962826727	17.3166
9	9014	17.5114	9023	17.5289	9236	17.9427	9225	17.9213	113305081446	17.8429
10	7775	15.1044	7810	15.1724	7785	15.1238	7773	15.1005	96187452851	15.1473
11	5034	9.7795	5022	9.7562	5232	10.1642	5233	10.1661	64547826059	10.1648
12	2643	5.1345	2636	5.1209	2718	5.2802	2725	5.2938	31646530587	4.9836
13	740	1.4376	736	1.4298	846	1.6435	841	1.6338	9139338741	1.4392
14	51475	8.3651	51475	8.3662	51475	8.4192	51475	8.4187	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 0.0019 1 0.0019 0 0 0 0 1513990 0.0002
1 = 1 0 0 0 0 2 0.0039 2 0.0039 4027214 0.0006
1 = 2 2 0.0039 3 0.0058 2 0.0039 2 0.0039 11612306 0.0018
1 = 3 2 0.0039 2 0.0039 2 0.0039 2 0.0039 25874094 0.0041
1 = 4 8 0.0155 8 0.0155 4 0.0078 4 0.0078 53231899 0.0084
N 1 = 5 3 0.0058 3 0.0058 4 0.0078 4 0.0078 36956503 0.0058
2 = 6 8 0.0155 8 0.0155 11 0.0214 12 0.0233 120316810 0.0189
2 = 7 22 0.0427 20 0.0389 19 0.0369 19 0.0369 198635528 0.0313
2 = 8 32 0.0622 34 0.0661 32 0.0622 30 0.0583 326628269 0.0514
2 = 9 56 0.1088 54 0.1049 39 0.0758 37 0.0719 500918833 0.0789
N 2 = 10 19 0.0369 17 0.0330 14 0.0272 12 0.0233 185145875 0.0292
3 = 11 52 0.1010 49 0.0952 55 0.1068 54 0.1049 708986520 0.1116
3 = 12 89 0.1729 93 0.1807 103 0.2001 106 0.2059 998658286 0.1573
3 = 13 112 0.2176 108 0.2098 107 0.2079 107 0.2079 1395338886 0.2197
3 = 14 154 0.2992 157 0.3050 153 0.2972 154 0.2992 1910125869 0.3008
N 3 = 15 56 0.1088 56 0.1088 54 0.1049 56 0.1088 600509115 0.0946
4 = 16 205 0.3983 210 0.4080 188 0.3652 184 0.3575 2289229042 0.3605
4 = 17 239 0.4643 235 0.4565 246 0.4779 250 0.4857 2994612265 0.4716
4 = 18 304 0.5906 300 0.5828 319 0.6197 319 0.6197 3903975403 0.6148
4 = 19 414 0.8043 423 0.8218 417 0.8101 411 0.7984 5081012026 0.8001
N 4 = 20 148 0.2875 147 0.2856 140 0.2720 139 0.2700 1713322270 0.2698
5 = 21 532 1.0335 515 1.0005 430 0.8354 433 0.8412 5390835002 0.8489
5 = 22 620 1.2045 624 1.2122 572 1.1112 572 1.1112 6765583620 1.0654
5 = 23 712 1.3832 727 1.4123 698 1.3560 704 1.3677 8498769442 1.3384
5 = 24 840 1.6319 831 1.6144 896 1.7407 897 1.7426 10602398413 1.6696
N 5 = 25 318 0.6178 331 0.6430 312 0.6061 315 0.6119 3790350430 0.5969
6 = 26 838 1.6280 837 1.6260 751 1.4590 749 1.4551 9966643603 1.5695
6 = 27 986 1.9155 963 1.8708 929 1.8048 939 1.8242 12109712021 1.9070
6 = 28 1181 2.2943 1172 2.2768 1167 2.2671 1162 2.2574 14729112069 2.3195
6 = 29 1445 2.8072 1448 2.8130 1416 2.7508 1404 2.7275 17910202521 2.8204
N 6 = 30 509 0.9888 488 0.9480 495 0.9616 499 0.9694 6534760658 1.0291
7 = 31 1293 2.5119 1284 2.4944 1228 2.3856 1248 2.4245 15075437352 2.3740
7 = 32 1511 2.9354 1513 2.9393 1444 2.8052 1436 2.7897 17958650211 2.8281
7 = 33 1737 3.3745 1753 3.4055 1671 3.2462 1688 3.2793 21361994439 3.3640
7 = 34 2029 3.9417 2043 3.9689 2055 3.9922 2026 3.9359 25528480621 4.0201
N 7 = 35 763 1.4823 771 1.4978 705 1.3696 717 1.3929 9154206125 1.4416
8 = 36 1507 2.9276 1513 2.9393 1581 3.0714 1577 3.0636 18791511418 2.9592
8 = 37 1772 3.4424 1795 3.4871 1678 3.2598 1684 3.2715 22088800625 3.4785
8 = 38 2107 4.0932 2118 4.1146 2145 4.1671 2128 4.1340 26002102208 4.0947
8 = 39 2484 4.8256 2457 4.7732 2467 4.7926 2494 4.8451 30496109913 4.8024
N 8 = 40 979 1.9019 967 1.8786 932 1.8106 921 1.7892 12173466153 1.9170
9 = 41 1497 2.9082 1485 2.8849 1504 2.9218 1526 2.9645 19155398988 3.0165
9 = 42 1756 3.4114 1785 3.4677 1872 3.6367 1846 3.5862 22679953280 3.5716
9 = 43 2182 4.2390 2163 4.2020 2207 4.2875 2211 4.2953 26645003052 4.1960
9 = 44 2487 4.8315 2499 4.8548 2547 4.9480 2539 4.9325 31116921638 4.9002
N 9 = 45 1088 2.1136 1092 2.1214 1138 2.2108 1135 2.2050 13776418529 2.1695
10 = 46 1291 2.5080 1320 2.5644 1264 2.4556 1255 2.4381 15678126613 2.4689
10 = 47 1503 2.9199 1491 2.8966 1549 3.0092 1566 3.0423 18845651711 2.9678
10 = 48 1776 3.4502 1782 3.4619 1756 3.4114 1772 3.4424 22346330376 3.5190
10 = 49 2150 4.1768 2140 4.1574 2123 4.1243 2128 4.1340 26213758053 4.1281
N 10 = 50 1127 2.1894 1130 2.1952 1132 2.1991 1095 2.1272 13730953401 2.1623
11 = 51 752 1.4609 746 1.4492 729 1.4162 722 1.4026 9697289588 1.5271
11 = 52 926 1.7989 915 1.7776 955 1.8553 967 1.8786 11914043914 1.8762
11 = 53 1125 2.1855 1123 2.1816 1128 2.1914 1124 2.1836 14305376462 2.2528
11 = 54 1322 2.5682 1346 2.6149 1479 2.8732 1469 2.8538 16882127404 2.6585
N 11 = 55 973 1.8902 957 1.8592 1004 1.9505 1012 1.9660 12637216524 1.9901
12 = 56 353 0.6858 345 0.6702 371 0.7207 368 0.7149 4042066459 0.6365
12 = 57 380 0.7382 384 0.7460 415 0.8062 425 0.8256 4996576787 0.7868
12 = 58 509 0.9888 511 0.9927 525 1.0199 513 0.9966 6084938998 0.9582
12 = 59 593 1.1520 582 1.1306 584 1.1345 594 1.1540 7241748711 1.1404
N 12 = 60 841 1.6338 854 1.6591 851 1.6532 860 1.6707 9797000990 1.5428
13 = 61 75 0.1457 69 0.1340 96 0.1865 94 0.1826 950467974 0.1497
13 = 62 81 0.1574 82 0.1593 101 0.1962 97 0.1884 1125576093 0.1773
13 = 63 100 0.1943 102 0.1982 118 0.2292 119 0.2312 1297292873 0.2043
13 = 64 119 0.2312 116 0.2254 127 0.2467 123 0.2390 1491113912 0.2348
N 13 = 65 380 0.7382 378 0.7343 417 0.8101 418 0.8120 4372449423 0.6886
66 51475 39.9460 51475 39.9483 51475 40.2174 51475 40.2132 635013559600 40.0915

Value	North	South	West	East	Empirical
None = 0	1	0.0019	1	0.0019	0	0	0	0	1513990	0.0002
1 = 1	0	0	0	0	2	0.0039	2	0.0039	4027214	0.0006
1 = 2	2	0.0039	3	0.0058	2	0.0039	2	0.0039	11612306	0.0018
1 = 3	2	0.0039	2	0.0039	2	0.0039	2	0.0039	25874094	0.0041
1 = 4	8	0.0155	8	0.0155	4	0.0078	4	0.0078	53231899	0.0084
N 1 = 5	3	0.0058	3	0.0058	4	0.0078	4	0.0078	36956503	0.0058
2 = 6	8	0.0155	8	0.0155	11	0.0214	12	0.0233	120316810	0.0189
2 = 7	22	0.0427	20	0.0389	19	0.0369	19	0.0369	198635528	0.0313
2 = 8	32	0.0622	34	0.0661	32	0.0622	30	0.0583	326628269	0.0514
2 = 9	56	0.1088	54	0.1049	39	0.0758	37	0.0719	500918833	0.0789
N 2 = 10	19	0.0369	17	0.0330	14	0.0272	12	0.0233	185145875	0.0292
3 = 11	52	0.1010	49	0.0952	55	0.1068	54	0.1049	708986520	0.1116
3 = 12	89	0.1729	93	0.1807	103	0.2001	106	0.2059	998658286	0.1573
3 = 13	112	0.2176	108	0.2098	107	0.2079	107	0.2079	1395338886	0.2197
3 = 14	154	0.2992	157	0.3050	153	0.2972	154	0.2992	1910125869	0.3008
N 3 = 15	56	0.1088	56	0.1088	54	0.1049	56	0.1088	600509115	0.0946
4 = 16	205	0.3983	210	0.4080	188	0.3652	184	0.3575	2289229042	0.3605
4 = 17	239	0.4643	235	0.4565	246	0.4779	250	0.4857	2994612265	0.4716
4 = 18	304	0.5906	300	0.5828	319	0.6197	319	0.6197	3903975403	0.6148
4 = 19	414	0.8043	423	0.8218	417	0.8101	411	0.7984	5081012026	0.8001
N 4 = 20	148	0.2875	147	0.2856	140	0.2720	139	0.2700	1713322270	0.2698
5 = 21	532	1.0335	515	1.0005	430	0.8354	433	0.8412	5390835002	0.8489
5 = 22	620	1.2045	624	1.2122	572	1.1112	572	1.1112	6765583620	1.0654
5 = 23	712	1.3832	727	1.4123	698	1.3560	704	1.3677	8498769442	1.3384
5 = 24	840	1.6319	831	1.6144	896	1.7407	897	1.7426	10602398413	1.6696
N 5 = 25	318	0.6178	331	0.6430	312	0.6061	315	0.6119	3790350430	0.5969
6 = 26	838	1.6280	837	1.6260	751	1.4590	749	1.4551	9966643603	1.5695
6 = 27	986	1.9155	963	1.8708	929	1.8048	939	1.8242	12109712021	1.9070
6 = 28	1181	2.2943	1172	2.2768	1167	2.2671	1162	2.2574	14729112069	2.3195
6 = 29	1445	2.8072	1448	2.8130	1416	2.7508	1404	2.7275	17910202521	2.8204
N 6 = 30	509	0.9888	488	0.9480	495	0.9616	499	0.9694	6534760658	1.0291
7 = 31	1293	2.5119	1284	2.4944	1228	2.3856	1248	2.4245	15075437352	2.3740
7 = 32	1511	2.9354	1513	2.9393	1444	2.8052	1436	2.7897	17958650211	2.8281
7 = 33	1737	3.3745	1753	3.4055	1671	3.2462	1688	3.2793	21361994439	3.3640
7 = 34	2029	3.9417	2043	3.9689	2055	3.9922	2026	3.9359	25528480621	4.0201
N 7 = 35	763	1.4823	771	1.4978	705	1.3696	717	1.3929	9154206125	1.4416
8 = 36	1507	2.9276	1513	2.9393	1581	3.0714	1577	3.0636	18791511418	2.9592
8 = 37	1772	3.4424	1795	3.4871	1678	3.2598	1684	3.2715	22088800625	3.4785
8 = 38	2107	4.0932	2118	4.1146	2145	4.1671	2128	4.1340	26002102208	4.0947
8 = 39	2484	4.8256	2457	4.7732	2467	4.7926	2494	4.8451	30496109913	4.8024
N 8 = 40	979	1.9019	967	1.8786	932	1.8106	921	1.7892	12173466153	1.9170
9 = 41	1497	2.9082	1485	2.8849	1504	2.9218	1526	2.9645	19155398988	3.0165
9 = 42	1756	3.4114	1785	3.4677	1872	3.6367	1846	3.5862	22679953280	3.5716
9 = 43	2182	4.2390	2163	4.2020	2207	4.2875	2211	4.2953	26645003052	4.1960
9 = 44	2487	4.8315	2499	4.8548	2547	4.9480	2539	4.9325	31116921638	4.9002
N 9 = 45	1088	2.1136	1092	2.1214	1138	2.2108	1135	2.2050	13776418529	2.1695
10 = 46	1291	2.5080	1320	2.5644	1264	2.4556	1255	2.4381	15678126613	2.4689
10 = 47	1503	2.9199	1491	2.8966	1549	3.0092	1566	3.0423	18845651711	2.9678
10 = 48	1776	3.4502	1782	3.4619	1756	3.4114	1772	3.4424	22346330376	3.5190
10 = 49	2150	4.1768	2140	4.1574	2123	4.1243	2128	4.1340	26213758053	4.1281
N 10 = 50	1127	2.1894	1130	2.1952	1132	2.1991	1095	2.1272	13730953401	2.1623
11 = 51	752	1.4609	746	1.4492	729	1.4162	722	1.4026	9697289588	1.5271
11 = 52	926	1.7989	915	1.7776	955	1.8553	967	1.8786	11914043914	1.8762
11 = 53	1125	2.1855	1123	2.1816	1128	2.1914	1124	2.1836	14305376462	2.2528
11 = 54	1322	2.5682	1346	2.6149	1479	2.8732	1469	2.8538	16882127404	2.6585
N 11 = 55	973	1.8902	957	1.8592	1004	1.9505	1012	1.9660	12637216524	1.9901
12 = 56	353	0.6858	345	0.6702	371	0.7207	368	0.7149	4042066459	0.6365
12 = 57	380	0.7382	384	0.7460	415	0.8062	425	0.8256	4996576787	0.7868
12 = 58	509	0.9888	511	0.9927	525	1.0199	513	0.9966	6084938998	0.9582
12 = 59	593	1.1520	582	1.1306	584	1.1345	594	1.1540	7241748711	1.1404
N 12 = 60	841	1.6338	854	1.6591	851	1.6532	860	1.6707	9797000990	1.5428
13 = 61	75	0.1457	69	0.1340	96	0.1865	94	0.1826	950467974	0.1497
13 = 62	81	0.1574	82	0.1593	101	0.1962	97	0.1884	1125576093	0.1773
13 = 63	100	0.1943	102	0.1982	118	0.2292	119	0.2312	1297292873	0.2043
13 = 64	119	0.2312	116	0.2254	127	0.2467	123	0.2390	1491113912	0.2348
N 13 = 65	380	0.7382	378	0.7343	417	0.8101	418	0.8120	4372449423	0.6886
66	51475	39.9460	51475	39.9483	51475	40.2174	51475	40.2132	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 0.0019 1 0.0019 0 0 0 0 1241472 0.0002
1 = 1 0 0 0 0 2 0.0039 2 0.0039 3239939 0.0005
1 = 2 2 0.0039 2 0.0039 2 0.0039 2 0.0039 9447300 0.0015
1 = 3 2 0.0039 2 0.0039 2 0.0039 2 0.0039 21574362 0.0034
1 = 4 8 0.0155 8 0.0155 3 0.0058 3 0.0058 42527988 0.0067
N 1 = 5 3 0.0058 2 0.0039 4 0.0078 3 0.0058 26388851 0.0042
2 = 6 6 0.0117 5 0.0097 7 0.0136 6 0.0117 84995416 0.0134
2 = 7 13 0.0253 15 0.0291 15 0.0291 13 0.0253 142224249 0.0224
2 = 8 21 0.0408 20 0.0389 23 0.0447 21 0.0408 231292299 0.0364
2 = 9 38 0.0738 38 0.0738 28 0.0544 31 0.0602 363266834 0.0572
N 2 = 10 14 0.0272 11 0.0214 10 0.0194 11 0.0214 127432564 0.0201
3 = 11 34 0.0661 40 0.0777 37 0.0719 41 0.0797 493076363 0.0776
3 = 12 73 0.1418 75 0.1457 60 0.1166 56 0.1088 693513539 0.1092
3 = 13 81 0.1574 80 0.1554 77 0.1496 78 0.1515 1000823292 0.1576
3 = 14 120 0.2331 121 0.2351 109 0.2118 116 0.2254 1395369165 0.2197
N 3 = 15 39 0.0758 46 0.0894 43 0.0835 42 0.0816 517057969 0.0814
4 = 16 132 0.2564 127 0.2467 142 0.2759 139 0.2700 1644254032 0.2589
4 = 17 179 0.3477 176 0.3419 183 0.3555 191 0.3711 2174377737 0.3424
4 = 18 221 0.4293 230 0.4468 224 0.4352 228 0.4429 2890268054 0.4552
4 = 19 338 0.6566 318 0.6178 328 0.6372 317 0.6158 3825111648 0.6024
N 4 = 20 130 0.2525 118 0.2292 127 0.2467 129 0.2506 1603391433 0.2525
5 = 21 368 0.7149 377 0.7324 318 0.6178 301 0.5847 3998705776 0.6297
5 = 22 420 0.8159 436 0.8470 414 0.8043 417 0.8101 5059967561 0.7968
5 = 23 553 1.0743 553 1.0743 543 1.0549 531 1.0316 6444920473 1.0149
5 = 24 658 1.2783 664 1.2899 690 1.3405 684 1.3288 8171172220 1.2868
N 5 = 25 343 0.6663 336 0.6527 321 0.6236 322 0.6255 3680646693 0.5796
6 = 26 679 1.3191 675 1.3113 603 1.1714 611 1.1870 7757580348 1.2216
6 = 27 792 1.5386 779 1.5134 737 1.4318 730 1.4182 9525027771 1.5000
6 = 28 966 1.8766 987 1.9174 930 1.8067 931 1.8086 11764658491 1.8527
6 = 29 1175 2.2827 1177 2.2865 1181 2.2943 1173 2.2788 14509280677 2.2849
N 6 = 30 518 1.0063 524 1.0180 495 0.9616 500 0.9713 6740920718 1.0615
7 = 31 1036 2.0126 1033 2.0068 956 1.8572 986 1.9155 12379732192 1.9495
7 = 32 1222 2.3740 1214 2.3584 1111 2.1583 1122 2.1797 14970987161 2.3576
7 = 33 1455 2.8266 1455 2.8266 1448 2.8130 1434 2.7858 18071185110 2.8458
7 = 34 1732 3.3647 1725 3.3511 1740 3.3803 1775 3.4483 21830271641 3.4378
N 7 = 35 922 1.7912 912 1.7717 950 1.8456 921 1.7892 11424585988 1.7991
8 = 36 1351 2.6246 1342 2.6071 1395 2.7101 1385 2.6906 16339498138 2.5731
8 = 37 1611 3.1297 1622 3.1510 1550 3.0112 1553 3.0170 19709383181 3.1038
8 = 38 1969 3.8252 1941 3.7708 1956 3.7999 1950 3.7882 23605758352 3.7174
8 = 39 2290 4.4488 2305 4.4779 2264 4.3983 2265 4.4002 28085928185 4.4229
N 8 = 40 1332 2.5877 1361 2.6440 1279 2.4847 1289 2.5041 16270929517 2.5623
9 = 41 1363 2.6479 1347 2.6168 1394 2.7081 1397 2.7139 17610462720 2.7732
9 = 42 1718 3.3375 1726 3.3531 1692 3.2870 1649 3.2035 21330730539 3.3591
9 = 43 2102 4.0835 2090 4.0602 2085 4.0505 2098 4.0758 25409571822 4.0014
9 = 44 2442 4.7441 2436 4.7324 2430 4.7207 2435 4.7305 30048695498 4.7320
N 9 = 45 1585 3.0792 1579 3.0675 1615 3.1374 1634 3.1744 20125215758 3.1693
10 = 46 1186 2.3040 1207 2.3448 1245 2.4186 1245 2.4186 15180947336 2.3906
10 = 47 1453 2.8227 1455 2.8266 1546 3.0034 1558 3.0267 18360372398 2.8913
10 = 48 1745 3.3900 1749 3.3978 1808 3.5124 1788 3.4735 21797024413 3.4325
10 = 49 2022 3.9281 2020 3.9242 2040 3.9631 2038 3.9592 25500986557 4.0158
N 10 = 50 1864 3.6212 1882 3.6561 1870 3.6328 1866 3.6251 22971290435 3.6174
11 = 51 848 1.6474 854 1.6591 795 1.5444 787 1.5289 10149896990 1.5984
11 = 52 956 1.8572 962 1.8689 969 1.8825 953 1.8514 12077115810 1.9019
11 = 53 1116 2.1680 1107 2.1506 1147 2.2283 1155 2.2438 14119413033 2.2235
11 = 54 1294 2.5138 1288 2.5022 1374 2.6693 1408 2.7353 16390731570 2.5812
N 11 = 55 1798 3.4930 1794 3.4852 1818 3.5318 1784 3.4658 22941283147 3.6127
12 = 56 421 0.8179 412 0.8004 470 0.9131 486 0.9441 5500720419 0.8662
12 = 57 488 0.9480 478 0.9286 498 0.9675 509 0.9888 6227026988 0.9806
12 = 58 569 1.1054 563 1.0937 549 1.0665 543 1.0549 7033151127 1.1076
12 = 59 606 1.1773 621 1.2064 656 1.2744 659 1.2802 7852931458 1.2367
N 12 = 60 1463 2.8422 1471 2.8577 1501 2.9160 1515 2.9432 17849476370 2.8109
13 = 61 185 0.3594 180 0.3497 196 0.3808 186 0.3613 2037906651 0.3209
13 = 62 167 0.3244 171 0.3322 206 0.4002 206 0.4002 2187019556 0.3444
13 = 63 203 0.3944 197 0.3827 195 0.3788 197 0.3827 2314542960 0.3645
13 = 64 210 0.4080 208 0.4041 187 0.3633 180 0.3497 2451437963 0.3860
N 13 = 65 824 1.6008 825 1.6027 882 1.7135 888 1.7251 9913593383 1.5612
66 51475 41.8781 51475 41.8782 51475 42.1312 51475 42.1384 635013559600 42.0216

Value	North	South	West	East	Empirical
None = 0	1	0.0019	1	0.0019	0	0	0	0	1241472	0.0002
1 = 1	0	0	0	0	2	0.0039	2	0.0039	3239939	0.0005
1 = 2	2	0.0039	2	0.0039	2	0.0039	2	0.0039	9447300	0.0015
1 = 3	2	0.0039	2	0.0039	2	0.0039	2	0.0039	21574362	0.0034
1 = 4	8	0.0155	8	0.0155	3	0.0058	3	0.0058	42527988	0.0067
N 1 = 5	3	0.0058	2	0.0039	4	0.0078	3	0.0058	26388851	0.0042
2 = 6	6	0.0117	5	0.0097	7	0.0136	6	0.0117	84995416	0.0134
2 = 7	13	0.0253	15	0.0291	15	0.0291	13	0.0253	142224249	0.0224
2 = 8	21	0.0408	20	0.0389	23	0.0447	21	0.0408	231292299	0.0364
2 = 9	38	0.0738	38	0.0738	28	0.0544	31	0.0602	363266834	0.0572
N 2 = 10	14	0.0272	11	0.0214	10	0.0194	11	0.0214	127432564	0.0201
3 = 11	34	0.0661	40	0.0777	37	0.0719	41	0.0797	493076363	0.0776
3 = 12	73	0.1418	75	0.1457	60	0.1166	56	0.1088	693513539	0.1092
3 = 13	81	0.1574	80	0.1554	77	0.1496	78	0.1515	1000823292	0.1576
3 = 14	120	0.2331	121	0.2351	109	0.2118	116	0.2254	1395369165	0.2197
N 3 = 15	39	0.0758	46	0.0894	43	0.0835	42	0.0816	517057969	0.0814
4 = 16	132	0.2564	127	0.2467	142	0.2759	139	0.2700	1644254032	0.2589
4 = 17	179	0.3477	176	0.3419	183	0.3555	191	0.3711	2174377737	0.3424
4 = 18	221	0.4293	230	0.4468	224	0.4352	228	0.4429	2890268054	0.4552
4 = 19	338	0.6566	318	0.6178	328	0.6372	317	0.6158	3825111648	0.6024
N 4 = 20	130	0.2525	118	0.2292	127	0.2467	129	0.2506	1603391433	0.2525
5 = 21	368	0.7149	377	0.7324	318	0.6178	301	0.5847	3998705776	0.6297
5 = 22	420	0.8159	436	0.8470	414	0.8043	417	0.8101	5059967561	0.7968
5 = 23	553	1.0743	553	1.0743	543	1.0549	531	1.0316	6444920473	1.0149
5 = 24	658	1.2783	664	1.2899	690	1.3405	684	1.3288	8171172220	1.2868
N 5 = 25	343	0.6663	336	0.6527	321	0.6236	322	0.6255	3680646693	0.5796
6 = 26	679	1.3191	675	1.3113	603	1.1714	611	1.1870	7757580348	1.2216
6 = 27	792	1.5386	779	1.5134	737	1.4318	730	1.4182	9525027771	1.5000
6 = 28	966	1.8766	987	1.9174	930	1.8067	931	1.8086	11764658491	1.8527
6 = 29	1175	2.2827	1177	2.2865	1181	2.2943	1173	2.2788	14509280677	2.2849
N 6 = 30	518	1.0063	524	1.0180	495	0.9616	500	0.9713	6740920718	1.0615
7 = 31	1036	2.0126	1033	2.0068	956	1.8572	986	1.9155	12379732192	1.9495
7 = 32	1222	2.3740	1214	2.3584	1111	2.1583	1122	2.1797	14970987161	2.3576
7 = 33	1455	2.8266	1455	2.8266	1448	2.8130	1434	2.7858	18071185110	2.8458
7 = 34	1732	3.3647	1725	3.3511	1740	3.3803	1775	3.4483	21830271641	3.4378
N 7 = 35	922	1.7912	912	1.7717	950	1.8456	921	1.7892	11424585988	1.7991
8 = 36	1351	2.6246	1342	2.6071	1395	2.7101	1385	2.6906	16339498138	2.5731
8 = 37	1611	3.1297	1622	3.1510	1550	3.0112	1553	3.0170	19709383181	3.1038
8 = 38	1969	3.8252	1941	3.7708	1956	3.7999	1950	3.7882	23605758352	3.7174
8 = 39	2290	4.4488	2305	4.4779	2264	4.3983	2265	4.4002	28085928185	4.4229
N 8 = 40	1332	2.5877	1361	2.6440	1279	2.4847	1289	2.5041	16270929517	2.5623
9 = 41	1363	2.6479	1347	2.6168	1394	2.7081	1397	2.7139	17610462720	2.7732
9 = 42	1718	3.3375	1726	3.3531	1692	3.2870	1649	3.2035	21330730539	3.3591
9 = 43	2102	4.0835	2090	4.0602	2085	4.0505	2098	4.0758	25409571822	4.0014
9 = 44	2442	4.7441	2436	4.7324	2430	4.7207	2435	4.7305	30048695498	4.7320
N 9 = 45	1585	3.0792	1579	3.0675	1615	3.1374	1634	3.1744	20125215758	3.1693
10 = 46	1186	2.3040	1207	2.3448	1245	2.4186	1245	2.4186	15180947336	2.3906
10 = 47	1453	2.8227	1455	2.8266	1546	3.0034	1558	3.0267	18360372398	2.8913
10 = 48	1745	3.3900	1749	3.3978	1808	3.5124	1788	3.4735	21797024413	3.4325
10 = 49	2022	3.9281	2020	3.9242	2040	3.9631	2038	3.9592	25500986557	4.0158
N 10 = 50	1864	3.6212	1882	3.6561	1870	3.6328	1866	3.6251	22971290435	3.6174
11 = 51	848	1.6474	854	1.6591	795	1.5444	787	1.5289	10149896990	1.5984
11 = 52	956	1.8572	962	1.8689	969	1.8825	953	1.8514	12077115810	1.9019
11 = 53	1116	2.1680	1107	2.1506	1147	2.2283	1155	2.2438	14119413033	2.2235
11 = 54	1294	2.5138	1288	2.5022	1374	2.6693	1408	2.7353	16390731570	2.5812
N 11 = 55	1798	3.4930	1794	3.4852	1818	3.5318	1784	3.4658	22941283147	3.6127
12 = 56	421	0.8179	412	0.8004	470	0.9131	486	0.9441	5500720419	0.8662
12 = 57	488	0.9480	478	0.9286	498	0.9675	509	0.9888	6227026988	0.9806
12 = 58	569	1.1054	563	1.0937	549	1.0665	543	1.0549	7033151127	1.1076
12 = 59	606	1.1773	621	1.2064	656	1.2744	659	1.2802	7852931458	1.2367
N 12 = 60	1463	2.8422	1471	2.8577	1501	2.9160	1515	2.9432	17849476370	2.8109
13 = 61	185	0.3594	180	0.3497	196	0.3808	186	0.3613	2037906651	0.3209
13 = 62	167	0.3244	171	0.3322	206	0.4002	206	0.4002	2187019556	0.3444
13 = 63	203	0.3944	197	0.3827	195	0.3788	197	0.3827	2314542960	0.3645
13 = 64	210	0.4080	208	0.4041	187	0.3633	180	0.3497	2451437963	0.3860
N 13 = 65	824	1.6008	825	1.6027	882	1.7135	888	1.7251	9913593383	1.5612
66	51475	41.8781	51475	41.8782	51475	42.1312	51475	42.1384	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 9907 19.2462 9864 19.1627 9577 18.6051 9578 18.6071 119358998783 18.7963
1 = 1 1293 2.5119 1284 2.4944 1228 2.3856 1248 2.4245 15075437352 2.3740
1 = 2 1511 2.9354 1513 2.9393 1444 2.8052 1436 2.7897 17958650211 2.8281
1 = 3 1737 3.3745 1753 3.4055 1671 3.2462 1688 3.2793 21361994439 3.3640
1 = 4 2029 3.9417 2043 3.9689 2055 3.9922 2026 3.9359 25528480621 4.0201
1 N = 5 763 1.4823 771 1.4978 705 1.3696 717 1.3929 9154206126 1.4416
2 = 6 1507 2.9276 1513 2.9393 1581 3.0714 1577 3.0636 18791511418 2.9592
2 = 7 1772 3.4424 1795 3.4871 1678 3.2598 1684 3.2715 22088800625 3.4785
2 = 8 2107 4.0932 2118 4.1146 2145 4.1671 2128 4.1340 26002102208 4.0947
2 = 9 2484 4.8256 2457 4.7732 2467 4.7926 2494 4.8451 30496109913 4.8024
3 = 10 1171 2.2749 1163 2.2593 1182 2.2963 1196 2.3235 15168880833 2.3887
3 = 11 1360 2.6421 1380 2.6809 1465 2.8460 1435 2.7878 17647767441 2.7791
2 N = 12 1701 3.3045 1694 3.2909 1661 3.2268 1662 3.2288 21192170146 3.3373
4 = 13 687 1.3346 693 1.3463 696 1.3521 692 1.3443 8352078922 1.3153
4 = 14 819 1.5911 823 1.5988 839 1.6299 851 1.6532 10306791805 1.6231
3 = 15 2501 4.8587 2484 4.8256 2514 4.8839 2523 4.9014 30412174290 4.7892
3 = 16 2826 5.4900 2824 5.4862 2885 5.6047 2873 5.5814 35369266210 5.5698
3 N = 17 1718 3.3375 1741 3.3822 1771 3.4405 1767 3.4327 21621810315 3.4049
5 = 18 366 0.7110 371 0.7207 361 0.7013 370 0.7188 4918954504 0.7746
5 = 19 497 0.9655 494 0.9597 489 0.9500 503 0.9772 6307419874 0.9933
4 = 20 1955 3.7980 1954 3.7960 1946 3.7805 1955 3.7980 24619813919 3.8771
4 = 21 2348 4.5614 2339 4.5440 2313 4.4934 2311 4.4896 28756868129 4.5285
4 N = 22 1565 3.0403 1555 3.0209 1586 3.0811 1545 3.0015 19299318906 3.0392
5 = 23 1125 2.1855 1123 2.1816 1128 2.1914 1124 2.1836 14305376462 2.2528
5 = 24 1322 2.5682 1346 2.6149 1479 2.8732 1469 2.8538 16882127404 2.6585
5 N = 25 973 1.8902 957 1.8592 1004 1.9505 1012 1.9660 12637216524 1.9901
6 = 26 353 0.6858 345 0.6702 371 0.7207 368 0.7149 4042066459 0.6365
6 = 27 380 0.7382 384 0.7460 415 0.8062 425 0.8256 4996576787 0.7868
6 = 28 509 0.9888 511 0.9927 525 1.0199 513 0.9966 6084938998 0.9582
6 = 29 593 1.1520 582 1.1306 584 1.1345 594 1.1540 7241748711 1.1404
6 N = 30 841 1.6338 854 1.6591 851 1.6532 860 1.6707 9797000990 1.5428
7 = 31 75 0.1457 69 0.1340 96 0.1865 94 0.1826 950467974 0.1497
7 = 32 81 0.1574 82 0.1593 101 0.1962 97 0.1884 1125576093 0.1773
7 = 33 100 0.1943 102 0.1982 118 0.2292 119 0.2312 1297292873 0.2043
7 = 34 119 0.2312 116 0.2254 127 0.2467 123 0.2390 1491113912 0.2348
7 N = 35 380 0.7382 378 0.7343 417 0.8101 418 0.8120 4372449423 0.6886
36 51475 11.3455 51475 11.3450 51475 11.5756 51475 11.5683 635013559600 11.4347

Value	North	South	West	East	Empirical
None = 0	9907	19.2462	9864	19.1627	9577	18.6051	9578	18.6071	119358998783	18.7963
1 = 1	1293	2.5119	1284	2.4944	1228	2.3856	1248	2.4245	15075437352	2.3740
1 = 2	1511	2.9354	1513	2.9393	1444	2.8052	1436	2.7897	17958650211	2.8281
1 = 3	1737	3.3745	1753	3.4055	1671	3.2462	1688	3.2793	21361994439	3.3640
1 = 4	2029	3.9417	2043	3.9689	2055	3.9922	2026	3.9359	25528480621	4.0201
1 N = 5	763	1.4823	771	1.4978	705	1.3696	717	1.3929	9154206126	1.4416
2 = 6	1507	2.9276	1513	2.9393	1581	3.0714	1577	3.0636	18791511418	2.9592
2 = 7	1772	3.4424	1795	3.4871	1678	3.2598	1684	3.2715	22088800625	3.4785
2 = 8	2107	4.0932	2118	4.1146	2145	4.1671	2128	4.1340	26002102208	4.0947
2 = 9	2484	4.8256	2457	4.7732	2467	4.7926	2494	4.8451	30496109913	4.8024
3 = 10	1171	2.2749	1163	2.2593	1182	2.2963	1196	2.3235	15168880833	2.3887
3 = 11	1360	2.6421	1380	2.6809	1465	2.8460	1435	2.7878	17647767441	2.7791
2 N = 12	1701	3.3045	1694	3.2909	1661	3.2268	1662	3.2288	21192170146	3.3373
4 = 13	687	1.3346	693	1.3463	696	1.3521	692	1.3443	8352078922	1.3153
4 = 14	819	1.5911	823	1.5988	839	1.6299	851	1.6532	10306791805	1.6231
3 = 15	2501	4.8587	2484	4.8256	2514	4.8839	2523	4.9014	30412174290	4.7892
3 = 16	2826	5.4900	2824	5.4862	2885	5.6047	2873	5.5814	35369266210	5.5698
3 N = 17	1718	3.3375	1741	3.3822	1771	3.4405	1767	3.4327	21621810315	3.4049
5 = 18	366	0.7110	371	0.7207	361	0.7013	370	0.7188	4918954504	0.7746
5 = 19	497	0.9655	494	0.9597	489	0.9500	503	0.9772	6307419874	0.9933
4 = 20	1955	3.7980	1954	3.7960	1946	3.7805	1955	3.7980	24619813919	3.8771
4 = 21	2348	4.5614	2339	4.5440	2313	4.4934	2311	4.4896	28756868129	4.5285
4 N = 22	1565	3.0403	1555	3.0209	1586	3.0811	1545	3.0015	19299318906	3.0392
5 = 23	1125	2.1855	1123	2.1816	1128	2.1914	1124	2.1836	14305376462	2.2528
5 = 24	1322	2.5682	1346	2.6149	1479	2.8732	1469	2.8538	16882127404	2.6585
5 N = 25	973	1.8902	957	1.8592	1004	1.9505	1012	1.9660	12637216524	1.9901
6 = 26	353	0.6858	345	0.6702	371	0.7207	368	0.7149	4042066459	0.6365
6 = 27	380	0.7382	384	0.7460	415	0.8062	425	0.8256	4996576787	0.7868
6 = 28	509	0.9888	511	0.9927	525	1.0199	513	0.9966	6084938998	0.9582
6 = 29	593	1.1520	582	1.1306	584	1.1345	594	1.1540	7241748711	1.1404
6 N = 30	841	1.6338	854	1.6591	851	1.6532	860	1.6707	9797000990	1.5428
7 = 31	75	0.1457	69	0.1340	96	0.1865	94	0.1826	950467974	0.1497
7 = 32	81	0.1574	82	0.1593	101	0.1962	97	0.1884	1125576093	0.1773
7 = 33	100	0.1943	102	0.1982	118	0.2292	119	0.2312	1297292873	0.2043
7 = 34	119	0.2312	116	0.2254	127	0.2467	123	0.2390	1491113912	0.2348
7 N = 35	380	0.7382	378	0.7343	417	0.8101	418	0.8120	4372449423	0.6886
36	51475	11.3455	51475	11.3450	51475	11.5756	51475	11.5683	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 0.0078 4 0.0154 6 0.0117
80 = 2 69 0.2706 61 0.2348 130 0.2525
90 = 3 807 3.1653 756 2.9099 1563 3.0364
100 = 4 4121 16.1640 4172 16.0585 8293 16.1107
110 = 5 1110 4.3538 1143 4.3995 2253 4.3769
120 = 6 1049 4.1145 1006 3.8722 2055 3.9922
130 = 7 994 3.8988 988 3.8029 1982 3.8504
140 = 8 2735 10.7276 2865 11.0277 5600 10.8791
300 = 10 1372 5.3814 1323 5.0924 2695 5.2356
400 = 11 2076 8.1428 2073 7.9792 4149 8.0602
420 = 12 2813 11.0335 2879 11.0816 5692 11.0578
430 = 13 1560 6.1188 1576 6.0662 3136 6.0923
450 = 14 2252 8.8331 2381 9.1647 4633 9.0005
460 = 15 1017 3.9890 1051 4.0454 2068 4.0175
500 = 16 119 0.4668 99 0.3811 218 0.4235
800 = 22 236 0.9257 237 0.9122 473 0.9189
920 = 23 580 2.2750 622 2.3941 1202 2.3351
980 = 24 910 3.5693 955 3.6759 1865 3.6231
990 = 25 927 3.6360 935 3.5989 1862 3.6173
1100 = 26 15 0.0588 28 0.1078 43 0.0835
1400 = 28 24 0.0941 33 0.1270 57 0.1107
1440 = 30 121 0.4746 145 0.5581 266 0.5168
1510 = 31 205 0.8041 228 0.8776 433 0.8412
1520 = 32 381 1.4944 420 1.6166 801 1.5561
25 25495 11.2097 25980 11.3451 51475 11.2781

Score	North-South Plus	West-East Plus	Absolute Times
0 = 0	0	0	0	0	0	0
70 = 1	2	0.0078	4	0.0154	6	0.0117
80 = 2	69	0.2706	61	0.2348	130	0.2525
90 = 3	807	3.1653	756	2.9099	1563	3.0364
100 = 4	4121	16.1640	4172	16.0585	8293	16.1107
110 = 5	1110	4.3538	1143	4.3995	2253	4.3769
120 = 6	1049	4.1145	1006	3.8722	2055	3.9922
130 = 7	994	3.8988	988	3.8029	1982	3.8504
140 = 8	2735	10.7276	2865	11.0277	5600	10.8791
300 = 10	1372	5.3814	1323	5.0924	2695	5.2356
400 = 11	2076	8.1428	2073	7.9792	4149	8.0602
420 = 12	2813	11.0335	2879	11.0816	5692	11.0578
430 = 13	1560	6.1188	1576	6.0662	3136	6.0923
450 = 14	2252	8.8331	2381	9.1647	4633	9.0005
460 = 15	1017	3.9890	1051	4.0454	2068	4.0175
500 = 16	119	0.4668	99	0.3811	218	0.4235
800 = 22	236	0.9257	237	0.9122	473	0.9189
920 = 23	580	2.2750	622	2.3941	1202	2.3351
980 = 24	910	3.5693	955	3.6759	1865	3.6231
990 = 25	927	3.6360	935	3.5989	1862	3.6173
1100 = 26	15	0.0588	28	0.1078	43	0.0835
1400 = 28	24	0.0941	33	0.1270	57	0.1107
1440 = 30	121	0.4746	145	0.5581	266	0.5168
1510 = 31	205	0.8041	228	0.8776	433	0.8412
1520 = 32	381	1.4944	420	1.6166	801	1.5561
25	25495	11.2097	25980	11.3451	51475	11.2781

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 0.0078 4 0.0154 6 0.0117
80 = 2 69 0.2706 61 0.2348 130 0.2525
90 = 3 807 3.1653 756 2.9099 1563 3.0364
100 = 4 4121 16.1640 0 0 4121 8.0058
110 = 5 1110 4.3538 2737 10.5350 3847 7.4735
120 = 6 1049 4.1145 1388 5.3426 2437 4.7343
130 = 7 994 3.8988 1272 4.8961 2266 4.4021
140 = 8 2735 10.7276 4056 15.6120 6791 13.1928
200 = 9 0 0 721 2.7752 721 1.4007
300 = 10 1372 5.3814 0 0 1372 2.6654
400 = 11 0 0 2451 9.4342 2451 4.7615
420 = 12 0 0 3567 13.7298 3567 6.9296
430 = 13 0 0 1638 6.3048 1638 3.1821
450 = 14 0 0 2541 9.7806 2541 4.9364
460 = 15 0 0 1060 4.0801 1060 2.0593
500 = 16 2190 8.5899 26 0.1001 2216 4.3050
600 = 17 1439 5.6442 0 0 1439 2.7955
620 = 18 1871 7.3387 0 0 1871 3.6348
630 = 19 1396 5.4756 0 0 1396 2.7120
650 = 20 1944 7.6250 0 0 1944 3.7766
660 = 21 997 3.9106 0 0 997 1.9369
800 = 22 236 0.9257 99 0.3811 335 0.6508
920 = 23 0 0 731 2.8137 731 1.4201
980 = 24 0 0 1060 4.0801 1060 2.0593
990 = 25 0 0 948 3.6490 948 1.8417
1100 = 26 408 1.6003 10 0.0385 418 0.8120
1370 = 27 426 1.6709 0 0 426 0.8276
1400 = 28 353 1.3846 28 0.1078 381 0.7402
1430 = 29 480 1.8827 0 0 480 0.9325
1440 = 30 789 3.0947 169 0.6505 958 1.8611
1510 = 31 0 0 237 0.9122 237 0.4604
1520 = 32 0 0 420 1.6166 420 0.8159
1700 = 33 43 0.1687 0 0 43 0.0835
2000 = 34 44 0.1726 0 0 44 0.0855
2140 = 35 61 0.2393 0 0 61 0.1185
2210 = 36 178 0.6982 0 0 178 0.3458
2220 = 37 381 1.4944 0 0 381 0.7402
38 25495 13.8576 25980 11.9411 51475 12.8903

Score	North-South Plus	West-East Plus	Absolute Times
0 = 0	0	0	0	0	0	0
70 = 1	2	0.0078	4	0.0154	6	0.0117
80 = 2	69	0.2706	61	0.2348	130	0.2525
90 = 3	807	3.1653	756	2.9099	1563	3.0364
100 = 4	4121	16.1640	0	0	4121	8.0058
110 = 5	1110	4.3538	2737	10.5350	3847	7.4735
120 = 6	1049	4.1145	1388	5.3426	2437	4.7343
130 = 7	994	3.8988	1272	4.8961	2266	4.4021
140 = 8	2735	10.7276	4056	15.6120	6791	13.1928
200 = 9	0	0	721	2.7752	721	1.4007
300 = 10	1372	5.3814	0	0	1372	2.6654
400 = 11	0	0	2451	9.4342	2451	4.7615
420 = 12	0	0	3567	13.7298	3567	6.9296
430 = 13	0	0	1638	6.3048	1638	3.1821
450 = 14	0	0	2541	9.7806	2541	4.9364
460 = 15	0	0	1060	4.0801	1060	2.0593
500 = 16	2190	8.5899	26	0.1001	2216	4.3050
600 = 17	1439	5.6442	0	0	1439	2.7955
620 = 18	1871	7.3387	0	0	1871	3.6348
630 = 19	1396	5.4756	0	0	1396	2.7120
650 = 20	1944	7.6250	0	0	1944	3.7766
660 = 21	997	3.9106	0	0	997	1.9369
800 = 22	236	0.9257	99	0.3811	335	0.6508
920 = 23	0	0	731	2.8137	731	1.4201
980 = 24	0	0	1060	4.0801	1060	2.0593
990 = 25	0	0	948	3.6490	948	1.8417
1100 = 26	408	1.6003	10	0.0385	418	0.8120
1370 = 27	426	1.6709	0	0	426	0.8276
1400 = 28	353	1.3846	28	0.1078	381	0.7402
1430 = 29	480	1.8827	0	0	480	0.9325
1440 = 30	789	3.0947	169	0.6505	958	1.8611
1510 = 31	0	0	237	0.9122	237	0.4604
1520 = 32	0	0	420	1.6166	420	0.8159
1700 = 33	43	0.1687	0	0	43	0.0835
2000 = 34	44	0.1726	0	0	44	0.0855
2140 = 35	61	0.2393	0	0	61	0.1185
2210 = 36	178	0.6982	0	0	178	0.3458
2220 = 37	381	1.4944	0	0	381	0.7402
38	25495	13.8576	25980	11.9411	51475	12.8903

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 0.0078 4 0.0154 6 0.0117
80 = 2 69 0.2706 61 0.2348 130 0.2525
90 = 3 807 3.1653 756 2.9099 1563 3.0364
100 = 4 0 0 4172 16.0585 4172 8.1049
110 = 5 2724 10.6844 1143 4.3995 3867 7.5124
120 = 6 1438 5.6403 1006 3.8722 2444 4.7479
130 = 7 1245 4.8833 988 3.8029 2233 4.3380
140 = 8 3909 15.3324 2865 11.0277 6774 13.1598
200 = 9 693 2.7182 0 0 693 1.3463
300 = 10 0 0 1323 5.0924 1323 2.5702
400 = 11 2424 9.5077 0 0 2424 4.7091
420 = 12 3581 14.0459 0 0 3581 6.9568
430 = 13 1627 6.3816 0 0 1627 3.1608
450 = 14 2398 9.4058 0 0 2398 4.6586
460 = 15 1024 4.0165 0 0 1024 1.9893
500 = 16 36 0.1412 2245 8.6413 2281 4.4313
600 = 17 0 0 1407 5.4157 1407 2.7334
620 = 18 0 0 1908 7.3441 1908 3.7067
630 = 19 0 0 1425 5.4850 1425 2.7683
650 = 20 0 0 2054 7.9061 2054 3.9903
660 = 21 0 0 1020 3.9261 1020 1.9815
800 = 22 119 0.4668 237 0.9122 356 0.6916
920 = 23 665 2.6084 0 0 665 1.2919
980 = 24 1040 4.0792 0 0 1040 2.0204
990 = 25 938 3.6792 0 0 938 1.8222
1100 = 26 10 0.0392 383 1.4742 393 0.7635
1370 = 27 0 0 476 1.8322 476 0.9247
1400 = 28 15 0.0588 360 1.3857 375 0.7285
1430 = 29 0 0 568 2.1863 568 1.1034
1440 = 30 139 0.5452 786 3.0254 925 1.7970
1510 = 31 211 0.8276 0 0 211 0.4099
1520 = 32 381 1.4944 0 0 381 0.7402
1700 = 33 0 0 47 0.1809 47 0.0913
2000 = 34 0 0 40 0.1540 40 0.0777
2140 = 35 0 0 80 0.3079 80 0.1554
2210 = 36 0 0 206 0.7929 206 0.4002
2220 = 37 0 0 420 1.6166 420 0.8159
38 25495 11.8154 25980 14.0293 51475 12.9328

Score	North-South Plus	West-East Plus	Absolute Times
0 = 0	0	0	0	0	0	0
70 = 1	2	0.0078	4	0.0154	6	0.0117
80 = 2	69	0.2706	61	0.2348	130	0.2525
90 = 3	807	3.1653	756	2.9099	1563	3.0364
100 = 4	0	0	4172	16.0585	4172	8.1049
110 = 5	2724	10.6844	1143	4.3995	3867	7.5124
120 = 6	1438	5.6403	1006	3.8722	2444	4.7479
130 = 7	1245	4.8833	988	3.8029	2233	4.3380
140 = 8	3909	15.3324	2865	11.0277	6774	13.1598
200 = 9	693	2.7182	0	0	693	1.3463
300 = 10	0	0	1323	5.0924	1323	2.5702
400 = 11	2424	9.5077	0	0	2424	4.7091
420 = 12	3581	14.0459	0	0	3581	6.9568
430 = 13	1627	6.3816	0	0	1627	3.1608
450 = 14	2398	9.4058	0	0	2398	4.6586
460 = 15	1024	4.0165	0	0	1024	1.9893
500 = 16	36	0.1412	2245	8.6413	2281	4.4313
600 = 17	0	0	1407	5.4157	1407	2.7334
620 = 18	0	0	1908	7.3441	1908	3.7067
630 = 19	0	0	1425	5.4850	1425	2.7683
650 = 20	0	0	2054	7.9061	2054	3.9903
660 = 21	0	0	1020	3.9261	1020	1.9815
800 = 22	119	0.4668	237	0.9122	356	0.6916
920 = 23	665	2.6084	0	0	665	1.2919
980 = 24	1040	4.0792	0	0	1040	2.0204
990 = 25	938	3.6792	0	0	938	1.8222
1100 = 26	10	0.0392	383	1.4742	393	0.7635
1370 = 27	0	0	476	1.8322	476	0.9247
1400 = 28	15	0.0588	360	1.3857	375	0.7285
1430 = 29	0	0	568	2.1863	568	1.1034
1440 = 30	139	0.5452	786	3.0254	925	1.7970
1510 = 31	211	0.8276	0	0	211	0.4099
1520 = 32	381	1.4944	0	0	381	0.7402
1700 = 33	0	0	47	0.1809	47	0.0913
2000 = 34	0	0	40	0.1540	40	0.0777
2140 = 35	0	0	80	0.3079	80	0.1554
2210 = 36	0	0	206	0.7929	206	0.4002
2220 = 37	0	0	420	1.6166	420	0.8159
38	25495	11.8154	25980	14.0293	51475	12.9328

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 0.0078 4 0.0154 6 0.0117
80 = 2 69 0.2706 61 0.2348 130 0.2525
90 = 3 807 3.1653 756 2.9099 1563 3.0364
110 = 5 2724 10.6844 2737 10.5350 5461 10.6090
120 = 6 1438 5.6403 1388 5.3426 2826 5.4900
130 = 7 1245 4.8833 1272 4.8961 2517 4.8898
140 = 8 3909 15.3324 4056 15.6120 7965 15.4735
200 = 9 693 2.7182 721 2.7752 1414 2.7470
500 = 16 1372 5.3814 1323 5.0924 2695 5.2356
600 = 17 2076 8.1428 2073 7.9792 4149 8.0602
620 = 18 2813 11.0335 2879 11.0816 5692 11.0578
630 = 19 1560 6.1188 1576 6.0662 3136 6.0923
650 = 20 2252 8.8331 2381 9.1647 4633 9.0005
660 = 21 1017 3.9890 1051 4.0454 2068 4.0175
800 = 22 119 0.4668 99 0.3811 218 0.4235
1100 = 26 236 0.9257 237 0.9122 473 0.9189
1370 = 27 580 2.2750 622 2.3941 1202 2.3351
1400 = 28 254 0.9963 237 0.9122 491 0.9539
1430 = 29 712 2.7927 790 3.0408 1502 2.9179
1440 = 30 886 3.4752 891 3.4296 1777 3.4522
1700 = 33 24 0.0941 33 0.1270 57 0.1107
2000 = 34 43 0.1687 47 0.1809 90 0.1748
2140 = 35 87 0.3412 108 0.4157 195 0.3788
2210 = 36 196 0.7688 218 0.8391 414 0.8043
2220 = 37 381 1.4944 420 1.6166 801 1.5561
26 25495 14.9109 25980 15.0646 51475 14.9885

Score	North-South Plus	West-East Plus	Absolute Times
0 = 0	0	0	0	0	0	0
70 = 1	2	0.0078	4	0.0154	6	0.0117
80 = 2	69	0.2706	61	0.2348	130	0.2525
90 = 3	807	3.1653	756	2.9099	1563	3.0364
110 = 5	2724	10.6844	2737	10.5350	5461	10.6090
120 = 6	1438	5.6403	1388	5.3426	2826	5.4900
130 = 7	1245	4.8833	1272	4.8961	2517	4.8898
140 = 8	3909	15.3324	4056	15.6120	7965	15.4735
200 = 9	693	2.7182	721	2.7752	1414	2.7470
500 = 16	1372	5.3814	1323	5.0924	2695	5.2356
600 = 17	2076	8.1428	2073	7.9792	4149	8.0602
620 = 18	2813	11.0335	2879	11.0816	5692	11.0578
630 = 19	1560	6.1188	1576	6.0662	3136	6.0923
650 = 20	2252	8.8331	2381	9.1647	4633	9.0005
660 = 21	1017	3.9890	1051	4.0454	2068	4.0175
800 = 22	119	0.4668	99	0.3811	218	0.4235
1100 = 26	236	0.9257	237	0.9122	473	0.9189
1370 = 27	580	2.2750	622	2.3941	1202	2.3351
1400 = 28	254	0.9963	237	0.9122	491	0.9539
1430 = 29	712	2.7927	790	3.0408	1502	2.9179
1440 = 30	886	3.4752	891	3.4296	1777	3.4522
1700 = 33	24	0.0941	33	0.1270	57	0.1107
2000 = 34	43	0.1687	47	0.1809	90	0.1748
2140 = 35	87	0.3412	108	0.4157	195	0.3788
2210 = 36	196	0.7688	218	0.8391	414	0.8043
2220 = 37	381	1.4944	420	1.6166	801	1.5561
26	25495	14.9109	25980	15.0646	51475	14.9885

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
12 17 0.3093 11 0.2001 6 0.1092 3 0.0546
13 577 10.4985 448 8.1514 517 9.4068 386 7.0233
14 2772 50.4367 2669 48.5626 2798 50.9098 2693 48.9993
15 1781 32.4054 1958 35.6259 1817 33.0604 1991 36.2263
16 310 5.6405 368 6.6958 317 5.7678 379 6.8959
17 37 0.6732 40 0.7278 39 0.7096 42 0.7642
18 1 0.0182 1 0.0182 1 0.0182 1 0.0182
19 0 0 0 0 0 0 0 0
20 1 0.0182 1 0.0182 1 0.0182 1 0.0182
9 5496 14.3477 5496 14.4283 5496 14.3728 5496 14.4536

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
12 5 0.0923 4 0.0738 0 0 0 0
13 61 1.1259 43 0.7937 53 0.9782 34 0.6275
14 839 15.4854 711 13.1229 841 15.5223 716 13.2152
15 2617 48.3020 2589 47.7852 2625 48.4496 2593 47.8590
16 1601 29.5496 1737 32.0598 1603 29.5866 1738 32.0783
17 260 4.7988 296 5.4633 261 4.8173 299 5.5186
18 34 0.6275 37 0.6829 34 0.6275 37 0.6829
19 1 0.0185 1 0.0185 1 0.0185 1 0.0185
8 5418 15.2309 5418 15.3018 5418 15.2370 5418 15.3077

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
11 2 0.0145 1 0.0073 0 0 0 0
12 12 0.0872 13 0.0944 0 0 0 0
13 77 0.5593 64 0.4649 20 0.1453 14 0.1017
14 530 3.8498 454 3.2977 397 2.8837 324 2.3535
15 2819 20.4765 2608 18.9439 2756 20.0189 2522 18.3192
16 5842 42.4348 5851 42.5002 5989 43.5026 5994 43.5389
17 3507 25.4740 3685 26.7669 3595 26.1132 3782 27.4715
18 839 6.0943 929 6.7480 870 6.3195 968 7.0313
19 124 0.9007 145 1.0532 125 0.9080 146 1.0605
20 14 0.1017 16 0.1162 14 0.1017 16 0.1162
21 0 0 0 0 0 0 0 0
22 1 0.0073 1 0.0073 1 0.0073 1 0.0073
12 13767 16.1054 13767 16.1658 13767 16.1570 13767 16.2189

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
10 1 0.0084 1 0.0084 0 0 0 0
11 0 0 0 0 0 0 0 0
12 0 0 0 0 0 0 0 0
13 7 0.0589 6 0.0505 1 0.0084 1 0.0084
14 62 0.5219 49 0.4125 31 0.2610 20 0.1684
15 592 4.9836 516 4.3438 530 4.4617 454 3.8219
16 2739 23.0575 2579 21.7106 2707 22.7881 2535 21.3402
17 4613 38.8332 4614 38.8417 4681 39.4057 4681 39.4057
18 3030 25.5072 3199 26.9299 3080 25.9281 3255 27.4013
19 742 6.2463 813 6.8440 752 6.3305 827 6.9619
20 93 0.7829 102 0.8587 97 0.8166 106 0.8923
11 11879 17.0546 11879 17.1130 11879 17.0851 11879 17.1448

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
12 1 0.0125 1 0.0125 0 0 0 0
13 0 0 0 0 0 0 0 0
14 4 0.0500 4 0.0500 4 0.0500 4 0.0500
15 45 0.5622 39 0.4873 34 0.4248 29 0.3623
16 594 7.4213 537 6.7091 542 6.7716 486 6.0720
17 1944 24.2879 1854 23.1634 1891 23.6257 1796 22.4388
18 2816 35.1824 2818 35.2074 2855 35.6697 2860 35.7321
19 1884 23.5382 1970 24.6127 1933 24.1504 2010 25.1124
20 595 7.4338 644 8.0460 617 7.7086 675 8.4333
21 105 1.3118 117 1.4618 108 1.3493 121 1.5117
22 14 0.1749 17 0.2124 18 0.2249 20 0.2499
23 2 0.0250 3 0.0375 2 0.0250 3 0.0375
12 8004 18.0207 8004 18.0781 8004 18.0600 8004 18.1183

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
15 1 0.0231 1 0.0231 0 0 0 0
16 59 1.3648 49 1.1335 50 1.1566 41 0.9484
17 495 11.4504 464 10.7333 448 10.3632 413 9.5536
18 1225 28.3368 1203 27.8279 1219 28.1980 1193 27.5966
19 1433 33.1483 1430 33.0789 1452 33.5878 1450 33.5415
20 821 18.9914 868 20.0786 856 19.8011 903 20.8883
21 252 5.8293 262 6.0606 257 5.9449 272 6.2919
22 33 0.7634 42 0.9715 37 0.8559 47 1.0872
23 4 0.0925 3 0.0694 4 0.0925 3 0.0694
24 0 0 1 0.0231 0 0 1 0.0231
10 4323 18.7789 4323 18.8272 4323 18.8223 4323 18.8758

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
16 1 0.0564 0 0 0 0 0 0
17 61 3.4386 54 3.0440 53 2.9876 46 2.5930
18 288 16.2345 278 15.6708 269 15.1635 259 14.5998
19 554 31.2289 540 30.4397 559 31.5107 542 30.5524
20 535 30.1578 548 30.8906 538 30.3269 553 31.1725
21 245 13.8106 250 14.0924 258 14.5434 264 14.8816
22 76 4.2841 86 4.8478 81 4.5660 90 5.0733
23 13 0.7328 17 0.9583 15 0.8455 19 1.0710
24 1 0.0564 1 0.0564 1 0.0564 1 0.0564
9 1774 19.5056 1774 19.5598 1774 19.5564 1774 19.6094

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 0.6547 1 0.1637 2 0.3273 1 0.1637
18 45 7.3650 46 7.5286 41 6.7103 40 6.5466
19 159 26.0229 157 25.6956 159 26.0229 157 25.6956
20 193 31.5876 190 31.0966 191 31.2602 187 30.6056
21 140 22.9133 138 22.5859 143 23.4043 140 22.9133
22 52 8.5106 60 9.8200 51 8.3470 61 9.9836
23 17 2.7823 18 2.9460 22 3.6007 23 3.7643
24 1 0.1637 1 0.1637 2 0.3273 2 0.3273
8 611 20.0622 611 20.1047 611 20.1178 611 20.1620

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 0.5747 1 0.5747 1 0.5747 1 0.5747
18 6 3.4483 6 3.4483 4 2.2989 4 2.2989
19 25 14.3678 24 13.7931 23 13.2184 22 12.6437
20 58 33.3333 56 32.1839 61 35.0575 58 33.3333
21 47 27.0115 49 28.1609 47 27.0115 50 28.7356
22 21 12.0690 22 12.6437 22 12.6437 23 13.2184
23 11 6.3218 11 6.3218 11 6.3218 11 6.3218
24 5 2.8736 4 2.2989 5 2.8736 4 2.2989
25 0 0 1 0.5747 0 0 1 0.5747
9 174 20.5862 174 20.6207 174 20.6322 174 20.6724

Double-dummy stats for 51,475 deals

Stats 8H30 Main Top RP BBO Matches

Tricks	Longest by Longer		Longest Right-sided		Best Fit by Longer		Best Fit Right-sided
12	17	0.3093	11	0.2001	6	0.1092	3	0.0546
13	577	10.4985	448	8.1514	517	9.4068	386	7.0233
14	2772	50.4367	2669	48.5626	2798	50.9098	2693	48.9993
15	1781	32.4054	1958	35.6259	1817	33.0604	1991	36.2263
16	310	5.6405	368	6.6958	317	5.7678	379	6.8959
17	37	0.6732	40	0.7278	39	0.7096	42	0.7642
18	1	0.0182	1	0.0182	1	0.0182	1	0.0182
19	0	0	0	0	0	0	0	0
20	1	0.0182	1	0.0182	1	0.0182	1	0.0182
9	5496	14.3477	5496	14.4283	5496	14.3728	5496	14.4536

Tricks	Longest by Longer		Longest Right-sided		Best Fit by Longer		Best Fit Right-sided
12	5	0.0923	4	0.0738	0	0	0	0
13	61	1.1259	43	0.7937	53	0.9782	34	0.6275
14	839	15.4854	711	13.1229	841	15.5223	716	13.2152
15	2617	48.3020	2589	47.7852	2625	48.4496	2593	47.8590
16	1601	29.5496	1737	32.0598	1603	29.5866	1738	32.0783
17	260	4.7988	296	5.4633	261	4.8173	299	5.5186
18	34	0.6275	37	0.6829	34	0.6275	37	0.6829
19	1	0.0185	1	0.0185	1	0.0185	1	0.0185
8	5418	15.2309	5418	15.3018	5418	15.2370	5418	15.3077

Tricks	Longest by Longer		Longest Right-sided		Best Fit by Longer		Best Fit Right-sided
11	2	0.0145	1	0.0073	0	0	0	0
12	12	0.0872	13	0.0944	0	0	0	0
13	77	0.5593	64	0.4649	20	0.1453	14	0.1017
14	530	3.8498	454	3.2977	397	2.8837	324	2.3535
15	2819	20.4765	2608	18.9439	2756	20.0189	2522	18.3192
16	5842	42.4348	5851	42.5002	5989	43.5026	5994	43.5389
17	3507	25.4740	3685	26.7669	3595	26.1132	3782	27.4715
18	839	6.0943	929	6.7480	870	6.3195	968	7.0313
19	124	0.9007	145	1.0532	125	0.9080	146	1.0605
20	14	0.1017	16	0.1162	14	0.1017	16	0.1162
21	0	0	0	0	0	0	0	0
22	1	0.0073	1	0.0073	1	0.0073	1	0.0073
12	13767	16.1054	13767	16.1658	13767	16.1570	13767	16.2189

Tricks	Longest by Longer		Longest Right-sided		Best Fit by Longer		Best Fit Right-sided
10	1	0.0084	1	0.0084	0	0	0	0
11	0	0	0	0	0	0	0	0
12	0	0	0	0	0	0	0	0
13	7	0.0589	6	0.0505	1	0.0084	1	0.0084
14	62	0.5219	49	0.4125	31	0.2610	20	0.1684
15	592	4.9836	516	4.3438	530	4.4617	454	3.8219
16	2739	23.0575	2579	21.7106	2707	22.7881	2535	21.3402
17	4613	38.8332	4614	38.8417	4681	39.4057	4681	39.4057
18	3030	25.5072	3199	26.9299	3080	25.9281	3255	27.4013
19	742	6.2463	813	6.8440	752	6.3305	827	6.9619
20	93	0.7829	102	0.8587	97	0.8166	106	0.8923
11	11879	17.0546	11879	17.1130	11879	17.0851	11879	17.1448

Tricks	Longest by Longer		Longest Right-sided		Best Fit by Longer		Best Fit Right-sided
12	1	0.0125	1	0.0125	0	0	0	0
13	0	0	0	0	0	0	0	0
14	4	0.0500	4	0.0500	4	0.0500	4	0.0500
15	45	0.5622	39	0.4873	34	0.4248	29	0.3623
16	594	7.4213	537	6.7091	542	6.7716	486	6.0720
17	1944	24.2879	1854	23.1634	1891	23.6257	1796	22.4388
18	2816	35.1824	2818	35.2074	2855	35.6697	2860	35.7321
19	1884	23.5382	1970	24.6127	1933	24.1504	2010	25.1124
20	595	7.4338	644	8.0460	617	7.7086	675	8.4333
21	105	1.3118	117	1.4618	108	1.3493	121	1.5117
22	14	0.1749	17	0.2124	18	0.2249	20	0.2499
23	2	0.0250	3	0.0375	2	0.0250	3	0.0375
12	8004	18.0207	8004	18.0781	8004	18.0600	8004	18.1183

Tricks	Longest by Longer		Longest Right-sided		Best Fit by Longer		Best Fit Right-sided
15	1	0.0231	1	0.0231	0	0	0	0
16	59	1.3648	49	1.1335	50	1.1566	41	0.9484
17	495	11.4504	464	10.7333	448	10.3632	413	9.5536
18	1225	28.3368	1203	27.8279	1219	28.1980	1193	27.5966
19	1433	33.1483	1430	33.0789	1452	33.5878	1450	33.5415
20	821	18.9914	868	20.0786	856	19.8011	903	20.8883
21	252	5.8293	262	6.0606	257	5.9449	272	6.2919
22	33	0.7634	42	0.9715	37	0.8559	47	1.0872
23	4	0.0925	3	0.0694	4	0.0925	3	0.0694
24	0	0	1	0.0231	0	0	1	0.0231
10	4323	18.7789	4323	18.8272	4323	18.8223	4323	18.8758

Tricks	Longest by Longer		Longest Right-sided		Best Fit by Longer		Best Fit Right-sided
16	1	0.0564	0	0	0	0	0	0
17	61	3.4386	54	3.0440	53	2.9876	46	2.5930
18	288	16.2345	278	15.6708	269	15.1635	259	14.5998
19	554	31.2289	540	30.4397	559	31.5107	542	30.5524
20	535	30.1578	548	30.8906	538	30.3269	553	31.1725
21	245	13.8106	250	14.0924	258	14.5434	264	14.8816
22	76	4.2841	86	4.8478	81	4.5660	90	5.0733
23	13	0.7328	17	0.9583	15	0.8455	19	1.0710
24	1	0.0564	1	0.0564	1	0.0564	1	0.0564
9	1774	19.5056	1774	19.5598	1774	19.5564	1774	19.6094

Tricks	Longest by Longer		Longest Right-sided		Best Fit by Longer		Best Fit Right-sided
17	4	0.6547	1	0.1637	2	0.3273	1	0.1637
18	45	7.3650	46	7.5286	41	6.7103	40	6.5466
19	159	26.0229	157	25.6956	159	26.0229	157	25.6956
20	193	31.5876	190	31.0966	191	31.2602	187	30.6056
21	140	22.9133	138	22.5859	143	23.4043	140	22.9133
22	52	8.5106	60	9.8200	51	8.3470	61	9.9836
23	17	2.7823	18	2.9460	22	3.6007	23	3.7643
24	1	0.1637	1	0.1637	2	0.3273	2	0.3273
8	611	20.0622	611	20.1047	611	20.1178	611	20.1620

Tricks	Longest by Longer		Longest Right-sided		Best Fit by Longer		Best Fit Right-sided
17	1	0.5747	1	0.5747	1	0.5747	1	0.5747
18	6	3.4483	6	3.4483	4	2.2989	4	2.2989
19	25	14.3678	24	13.7931	23	13.2184	22	12.6437
20	58	33.3333	56	32.1839	61	35.0575	58	33.3333
21	47	27.0115	49	28.1609	47	27.0115	50	28.7356
22	21	12.0690	22	12.6437	22	12.6437	23	13.2184
23	11	6.3218	11	6.3218	11	6.3218	11	6.3218
24	5	2.8736	4	2.2989	5	2.8736	4	2.2989
25	0	0	1	0.5747	0	0	1	0.5747
9	174	20.5862	174	20.6207	174	20.6322	174	20.6724