Stats 9Y36 Main

72 Major Events 1996-2014

by Richard Pavlicek

Double-dummy stats for 40,069 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
0 624 1.5573 627 1.5648 602 1.5024 597 1.4899 9913593383 1.5612
1 1451 3.6213 1443 3.6013 1369 3.4166 1389 3.4665 23145762677 3.6449
2 2331 5.8175 2353 5.8724 2413 6.0221 2373 5.9223 37977932067 5.9806
3 3310 8.2608 3299 8.2333 3356 8.3756 3396 8.4754 52871069846 8.3260
4 4340 10.8313 4318 10.7764 4280 10.6816 4279 10.6791 67524194742 10.6335
5 5177 12.9202 5218 13.0225 5205 12.9901 5159 12.8753 80101714628 12.6142
6 5599 13.9734 5566 13.8910 5738 14.3203 5661 14.1281 90730441332 14.2880
7 5273 13.1598 5328 13.2971 5294 13.2122 5337 13.3195 84402158672 13.2914
8 4593 11.4627 4552 11.3604 4544 11.3404 4590 11.4552 71237104568 11.2182
9 2984 7.4472 3022 7.5420 2994 7.4721 3024 7.5470 47702049563 7.5120
10 2121 5.2934 2084 5.2010 1998 4.9864 2023 5.0488 32569065440 5.1289
11 1273 3.1770 1311 3.2719 1273 3.1770 1214 3.0298 20600866092 3.2442
12 717 1.7894 670 1.6721 761 1.8992 788 1.9666 11865157167 1.8685
13 276 0.6888 278 0.6938 242 0.6040 239 0.5965 4372449423 0.6886
14 40069 6.0096 40069 6.0054 40069 6.0010 40069 6.0057 635013559600 6.0066

Value	North	South	West	East	Empirical
0	624	1.5573	627	1.5648	602	1.5024	597	1.4899	9913593383	1.5612
1	1451	3.6213	1443	3.6013	1369	3.4166	1389	3.4665	23145762677	3.6449
2	2331	5.8175	2353	5.8724	2413	6.0221	2373	5.9223	37977932067	5.9806
3	3310	8.2608	3299	8.2333	3356	8.3756	3396	8.4754	52871069846	8.3260
4	4340	10.8313	4318	10.7764	4280	10.6816	4279	10.6791	67524194742	10.6335
5	5177	12.9202	5218	13.0225	5205	12.9901	5159	12.8753	80101714628	12.6142
6	5599	13.9734	5566	13.8910	5738	14.3203	5661	14.1281	90730441332	14.2880
7	5273	13.1598	5328	13.2971	5294	13.2122	5337	13.3195	84402158672	13.2914
8	4593	11.4627	4552	11.3604	4544	11.3404	4590	11.4552	71237104568	11.2182
9	2984	7.4472	3022	7.5420	2994	7.4721	3024	7.5470	47702049563	7.5120
10	2121	5.2934	2084	5.2010	1998	4.9864	2023	5.0488	32569065440	5.1289
11	1273	3.1770	1311	3.2719	1273	3.1770	1214	3.0298	20600866092	3.2442
12	717	1.7894	670	1.6721	761	1.8992	788	1.9666	11865157167	1.8685
13	276	0.6888	278	0.6938	242	0.6040	239	0.5965	4372449423	0.6886
14	40069	6.0096	40069	6.0054	40069	6.0010	40069	6.0057	635013559600	6.0066

Stats 9Y36 Main Top 72 Major Events 1996-2014

Spade make = sm

Winnable tricks at double-dummy with spades trump

Value North South West East Empirical
0 445 1.1106 448 1.1181 415 1.0357 407 1.0157 6949893015 1.0944
1 1131 2.8226 1125 2.8077 1164 2.9050 1184 2.9549 17646817412 2.7790
2 1991 4.9689 2003 4.9989 2016 5.0313 2016 5.0313 32992452829 5.1956
3 3242 8.0910 3223 8.0436 3180 7.9363 3178 7.9313 50476652542 7.9489
4 4145 10.3447 4135 10.3197 4106 10.2473 4123 10.2898 66372975438 10.4522
5 4919 12.2763 4985 12.4410 5073 12.6607 5052 12.6083 77821925315 12.2552
6 5221 13.0300 5188 12.9477 5285 13.1897 5244 13.0874 82551854345 13.0000
7 5187 12.9452 5184 12.9377 5069 12.6507 5130 12.8029 80760822737 12.7180
8 4647 11.5975 4631 11.5576 4689 11.7023 4605 11.4927 73465633954 11.5691
9 3885 9.6958 3920 9.7831 3733 9.3164 3830 9.5585 60489162482 9.5256
10 2638 6.5836 2598 6.4838 2686 6.7034 2653 6.6211 43661750688 6.8757
11 1656 4.1329 1684 4.2028 1666 4.1578 1637 4.0855 26377787548 4.1539
12 759 1.8942 753 1.8793 759 1.8942 773 1.9292 12128527136 1.9100
13 203 0.5066 192 0.4792 228 0.5690 237 0.5915 3317304159 0.5224
14 40069 6.2925 40069 6.2903 40069 6.2913 40069 6.2911 635013559600 6.2957

Value	North	South	West	East	Empirical
0	445	1.1106	448	1.1181	415	1.0357	407	1.0157	6949893015	1.0944
1	1131	2.8226	1125	2.8077	1164	2.9050	1184	2.9549	17646817412	2.7790
2	1991	4.9689	2003	4.9989	2016	5.0313	2016	5.0313	32992452829	5.1956
3	3242	8.0910	3223	8.0436	3180	7.9363	3178	7.9313	50476652542	7.9489
4	4145	10.3447	4135	10.3197	4106	10.2473	4123	10.2898	66372975438	10.4522
5	4919	12.2763	4985	12.4410	5073	12.6607	5052	12.6083	77821925315	12.2552
6	5221	13.0300	5188	12.9477	5285	13.1897	5244	13.0874	82551854345	13.0000
7	5187	12.9452	5184	12.9377	5069	12.6507	5130	12.8029	80760822737	12.7180
8	4647	11.5975	4631	11.5576	4689	11.7023	4605	11.4927	73465633954	11.5691
9	3885	9.6958	3920	9.7831	3733	9.3164	3830	9.5585	60489162482	9.5256
10	2638	6.5836	2598	6.4838	2686	6.7034	2653	6.6211	43661750688	6.8757
11	1656	4.1329	1684	4.2028	1666	4.1578	1637	4.0855	26377787548	4.1539
12	759	1.8942	753	1.8793	759	1.8942	773	1.9292	12128527136	1.9100
13	203	0.5066	192	0.4792	228	0.5690	237	0.5915	3317304159	0.5224
14	40069	6.2925	40069	6.2903	40069	6.2913	40069	6.2911	635013559600	6.2957

Stats 9Y36 Main Top 72 Major Events 1996-2014

Heart make = hm

Winnable tricks at double-dummy with hearts trump

Value North South West East Empirical
0 436 1.0881 441 1.1006 429 1.0707 425 1.0607 6949893015 1.0944
1 1114 2.7802 1114 2.7802 1137 2.8376 1126 2.8102 17646817412 2.7790
2 2072 5.1711 2041 5.0937 1994 4.9764 2026 5.0563 32992452829 5.1956
3 3208 8.0062 3265 8.1484 3227 8.0536 3199 7.9837 50476652542 7.9489
4 4196 10.4719 4152 10.3621 4048 10.1026 4058 10.1275 66372975438 10.4522
5 4827 12.0467 4811 12.0068 5099 12.7255 5074 12.6632 77821925315 12.2552
6 5188 12.9477 5209 13.0001 5385 13.4393 5415 13.5142 82551854345 13.0000
7 5283 13.1848 5268 13.1473 4971 12.4061 4979 12.4261 80760822737 12.7180
8 4717 11.7722 4752 11.8595 4605 11.4927 4588 11.4502 73465633954 11.5691
9 3691 9.2116 3681 9.1867 3732 9.3139 3749 9.3564 60489162482 9.5256
10 2727 6.8058 2697 6.7309 2823 7.0453 2787 6.9555 43661750688 6.8757
11 1644 4.1029 1694 4.2277 1610 4.0181 1639 4.0904 26377787548 4.1539
12 764 1.9067 742 1.8518 815 2.0340 805 2.0090 12128527136 1.9100
13 202 0.5041 202 0.5041 194 0.4842 199 0.4966 3317304159 0.5224
14 40069 6.2895 40069 6.2907 40069 6.2959 40069 6.2969 635013559600 6.2957

Value	North	South	West	East	Empirical
0	436	1.0881	441	1.1006	429	1.0707	425	1.0607	6949893015	1.0944
1	1114	2.7802	1114	2.7802	1137	2.8376	1126	2.8102	17646817412	2.7790
2	2072	5.1711	2041	5.0937	1994	4.9764	2026	5.0563	32992452829	5.1956
3	3208	8.0062	3265	8.1484	3227	8.0536	3199	7.9837	50476652542	7.9489
4	4196	10.4719	4152	10.3621	4048	10.1026	4058	10.1275	66372975438	10.4522
5	4827	12.0467	4811	12.0068	5099	12.7255	5074	12.6632	77821925315	12.2552
6	5188	12.9477	5209	13.0001	5385	13.4393	5415	13.5142	82551854345	13.0000
7	5283	13.1848	5268	13.1473	4971	12.4061	4979	12.4261	80760822737	12.7180
8	4717	11.7722	4752	11.8595	4605	11.4927	4588	11.4502	73465633954	11.5691
9	3691	9.2116	3681	9.1867	3732	9.3139	3749	9.3564	60489162482	9.5256
10	2727	6.8058	2697	6.7309	2823	7.0453	2787	6.9555	43661750688	6.8757
11	1644	4.1029	1694	4.2277	1610	4.0181	1639	4.0904	26377787548	4.1539
12	764	1.9067	742	1.8518	815	2.0340	805	2.0090	12128527136	1.9100
13	202	0.5041	202	0.5041	194	0.4842	199	0.4966	3317304159	0.5224
14	40069	6.2895	40069	6.2907	40069	6.2959	40069	6.2969	635013559600	6.2957

Stats 9Y36 Main Top 72 Major Events 1996-2014

Diamond make = dm

Winnable tricks at double-dummy with diamonds trump

Value North South West East Empirical
0 398 0.9933 397 0.9908 429 1.0707 425 1.0607 6949893015 1.0944
1 1076 2.6854 1064 2.6554 1083 2.7028 1075 2.6829 17646817412 2.7790
2 2049 5.1137 2059 5.1386 2080 5.1910 2064 5.1511 32992452829 5.1956
3 3262 8.1410 3271 8.1634 3286 8.2009 3290 8.2108 50476652542 7.9489
4 4186 10.4470 4183 10.4395 4210 10.5069 4192 10.4620 66372975438 10.4522
5 4978 12.4236 4980 12.4286 4808 11.9993 4827 12.0467 77821925315 12.2552
6 5158 12.8728 5147 12.8453 5260 13.1274 5277 13.1698 82551854345 13.0000
7 5151 12.8553 5127 12.7954 5040 12.5783 5031 12.5558 80760822737 12.7180
8 4524 11.2905 4577 11.4228 4709 11.7522 4760 11.8795 73465633954 11.5691
9 3938 9.8280 3900 9.7332 3906 9.7482 3823 9.5410 60489162482 9.5256
10 2761 6.8906 2763 6.8956 2738 6.8332 2792 6.9680 43661750688 6.8757
11 1638 4.0879 1656 4.1329 1615 4.0305 1596 3.9831 26377787548 4.1539
12 727 1.8144 710 1.7719 710 1.7719 727 1.8144 12128527136 1.9100
13 223 0.5565 235 0.5865 195 0.4867 190 0.4742 3317304159 0.5224
14 40069 6.3012 40069 6.3025 40069 6.2853 40069 6.2895 635013559600 6.2957

Value	North	South	West	East	Empirical
0	398	0.9933	397	0.9908	429	1.0707	425	1.0607	6949893015	1.0944
1	1076	2.6854	1064	2.6554	1083	2.7028	1075	2.6829	17646817412	2.7790
2	2049	5.1137	2059	5.1386	2080	5.1910	2064	5.1511	32992452829	5.1956
3	3262	8.1410	3271	8.1634	3286	8.2009	3290	8.2108	50476652542	7.9489
4	4186	10.4470	4183	10.4395	4210	10.5069	4192	10.4620	66372975438	10.4522
5	4978	12.4236	4980	12.4286	4808	11.9993	4827	12.0467	77821925315	12.2552
6	5158	12.8728	5147	12.8453	5260	13.1274	5277	13.1698	82551854345	13.0000
7	5151	12.8553	5127	12.7954	5040	12.5783	5031	12.5558	80760822737	12.7180
8	4524	11.2905	4577	11.4228	4709	11.7522	4760	11.8795	73465633954	11.5691
9	3938	9.8280	3900	9.7332	3906	9.7482	3823	9.5410	60489162482	9.5256
10	2761	6.8906	2763	6.8956	2738	6.8332	2792	6.9680	43661750688	6.8757
11	1638	4.0879	1656	4.1329	1615	4.0305	1596	3.9831	26377787548	4.1539
12	727	1.8144	710	1.7719	710	1.7719	727	1.8144	12128527136	1.9100
13	223	0.5565	235	0.5865	195	0.4867	190	0.4742	3317304159	0.5224
14	40069	6.3012	40069	6.3025	40069	6.2853	40069	6.2895	635013559600	6.2957

Stats 9Y36 Main Top 72 Major Events 1996-2014

Club make = cm

Winnable tricks at double-dummy with clubs trump

Value North South West East Empirical
0 461 1.1505 463 1.1555 413 1.0307 410 1.0232 6949893015 1.0944
1 1185 2.9574 1196 2.9849 1065 2.6579 1092 2.7253 17646817412 2.7790
2 2079 5.1885 2052 5.1212 2041 5.0937 2015 5.0288 32992452829 5.1956
3 3083 7.6942 3143 7.8440 3336 8.3256 3330 8.3107 50476652542 7.9489
4 4251 10.6092 4198 10.4769 4110 10.2573 4077 10.1749 66372975438 10.4522
5 5018 12.5234 5006 12.4934 4901 12.2314 4905 12.2414 77821925315 12.2552
6 5106 12.7430 5148 12.8478 5288 13.1972 5278 13.1723 82551854345 13.0000
7 5074 12.6632 5063 12.6357 4912 12.2589 4985 12.4410 80760822737 12.7180
8 4603 11.4877 4596 11.4702 4777 11.9219 4753 11.8620 73465633954 11.5691
9 3798 9.4786 3788 9.4537 3805 9.4961 3770 9.4088 60489162482 9.5256
10 2829 7.0603 2828 7.0578 2764 6.8981 2804 6.9979 43661750688 6.8757
11 1625 4.0555 1643 4.1004 1625 4.0555 1617 4.0355 26377787548 4.1539
12 773 1.9292 767 1.9142 846 2.1114 850 2.1213 12128527136 1.9100
13 184 0.4592 178 0.4442 186 0.4642 183 0.4567 3317304159 0.5224
14 40069 6.2811 40069 6.2794 40069 6.3081 40069 6.3108 635013559600 6.2957

Value	North	South	West	East	Empirical
0	461	1.1505	463	1.1555	413	1.0307	410	1.0232	6949893015	1.0944
1	1185	2.9574	1196	2.9849	1065	2.6579	1092	2.7253	17646817412	2.7790
2	2079	5.1885	2052	5.1212	2041	5.0937	2015	5.0288	32992452829	5.1956
3	3083	7.6942	3143	7.8440	3336	8.3256	3330	8.3107	50476652542	7.9489
4	4251	10.6092	4198	10.4769	4110	10.2573	4077	10.1749	66372975438	10.4522
5	5018	12.5234	5006	12.4934	4901	12.2314	4905	12.2414	77821925315	12.2552
6	5106	12.7430	5148	12.8478	5288	13.1972	5278	13.1723	82551854345	13.0000
7	5074	12.6632	5063	12.6357	4912	12.2589	4985	12.4410	80760822737	12.7180
8	4603	11.4877	4596	11.4702	4777	11.9219	4753	11.8620	73465633954	11.5691
9	3798	9.4786	3788	9.4537	3805	9.4961	3770	9.4088	60489162482	9.5256
10	2829	7.0603	2828	7.0578	2764	6.8981	2804	6.9979	43661750688	6.8757
11	1625	4.0555	1643	4.1004	1625	4.0555	1617	4.0355	26377787548	4.1539
12	773	1.9292	767	1.9142	846	2.1114	850	2.1213	12128527136	1.9100
13	184	0.4592	178	0.4442	186	0.4642	183	0.4567	3317304159	0.5224
14	40069	6.2811	40069	6.2794	40069	6.3081	40069	6.3108	635013559600	6.2957

Stats 9Y36 Main Top 72 Major Events 1996-2014

Longest fit = lf

Number of cards in longest trump fit

Value North South West East Theoretical (exact)
7 6297 15.7154 6297 15.7154 6318 15.7678 6318 15.7678 13006498437504 15.7363
8 18511 46.1978 18511 46.1978 18384 45.8809 18384 45.8809 37809373653909 45.7447
9 11094 27.6872 11094 27.6872 11187 27.9193 11187 27.9193 23225440992325 28.0999
10 3416 8.5253 3416 8.5253 3514 8.7699 3514 8.7699 7168401039800 8.6729
11 671 1.6746 671 1.6746 618 1.5423 618 1.5423 1307227435020 1.5816
12 75 0.1872 75 0.1872 48 0.1198 48 0.1198 130732315831 0.1582
13 5 0.0125 5 0.0125 0 0 0 0 5414950295 0.0066
7 40069 8.3486 40069 8.3486 40069 8.3480 40069 8.3480 82653088824684 8.3512

Value	North	South	West	East	Theoretical (exact)
7	6297	15.7154	6297	15.7154	6318	15.7678	6318	15.7678	13006498437504	15.7363
8	18511	46.1978	18511	46.1978	18384	45.8809	18384	45.8809	37809373653909	45.7447
9	11094	27.6872	11094	27.6872	11187	27.9193	11187	27.9193	23225440992325	28.0999
10	3416	8.5253	3416	8.5253	3514	8.7699	3514	8.7699	7168401039800	8.6729
11	671	1.6746	671	1.6746	618	1.5423	618	1.5423	1307227435020	1.5816
12	75	0.1872	75	0.1872	48	0.1198	48	0.1198	130732315831	0.1582
13	5	0.0125	5	0.0125	0	0	0	0	5414950295	0.0066
7	40069	8.3486	40069	8.3486	40069	8.3480	40069	8.3480	82653088824684	8.3512

Stats 9Y36 Main Top 72 Major Events 1996-2014

Longest fit make = lm

Winnable tricks at double-dummy with longest fit trumps

Value North South West East Empirical
0 0 0 0 0 6 0.0150 6 0.0150 22876394 0.0036
1 12 0.0299 12 0.0299 7 0.0175 9 0.0225 251246691 0.0396
2 95 0.2371 96 0.2396 104 0.2596 101 0.2521 1556124656 0.2451
3 354 0.8835 342 0.8535 390 0.9733 382 0.9534 5892722789 0.9280
4 1023 2.5531 1026 2.5606 1009 2.5182 1022 2.5506 16409883547 2.5842
5 2270 5.6652 2239 5.5879 2322 5.7950 2294 5.7251 35643298455 5.6130
6 3857 9.6259 3918 9.7781 3947 9.8505 3916 9.7731 62031256233 9.7685
7 5807 14.4925 5761 14.3777 5579 13.9235 5602 13.9809 89999744190 14.1729
8 6973 17.4025 7000 17.4699 6955 17.3576 6985 17.4324 110099842849 17.3382
9 7176 17.9091 7147 17.8367 7082 17.6745 7056 17.6096 113173167471 17.8222
10 5964 14.8843 5960 14.8743 6129 15.2961 6189 15.4459 95919764225 15.1052
11 4064 10.1425 4094 10.2174 3982 9.9379 3930 9.8081 64150449024 10.1022
12 1933 4.8242 1936 4.8317 2014 5.0263 2034 5.0762 31112561346 4.8995
13 541 1.3502 538 1.3427 543 1.3552 543 1.3552 8750621730 1.3780
14 40069 8.3715 40069 8.3742 40069 8.3721 40069 8.3755 635013559600 8.3753

Value	North	South	West	East	Empirical
0	0	0	0	0	6	0.0150	6	0.0150	22876394	0.0036
1	12	0.0299	12	0.0299	7	0.0175	9	0.0225	251246691	0.0396
2	95	0.2371	96	0.2396	104	0.2596	101	0.2521	1556124656	0.2451
3	354	0.8835	342	0.8535	390	0.9733	382	0.9534	5892722789	0.9280
4	1023	2.5531	1026	2.5606	1009	2.5182	1022	2.5506	16409883547	2.5842
5	2270	5.6652	2239	5.5879	2322	5.7950	2294	5.7251	35643298455	5.6130
6	3857	9.6259	3918	9.7781	3947	9.8505	3916	9.7731	62031256233	9.7685
7	5807	14.4925	5761	14.3777	5579	13.9235	5602	13.9809	89999744190	14.1729
8	6973	17.4025	7000	17.4699	6955	17.3576	6985	17.4324	110099842849	17.3382
9	7176	17.9091	7147	17.8367	7082	17.6745	7056	17.6096	113173167471	17.8222
10	5964	14.8843	5960	14.8743	6129	15.2961	6189	15.4459	95919764225	15.1052
11	4064	10.1425	4094	10.2174	3982	9.9379	3930	9.8081	64150449024	10.1022
12	1933	4.8242	1936	4.8317	2014	5.0263	2034	5.0762	31112561346	4.8995
13	541	1.3502	538	1.3427	543	1.3552	543	1.3552	8750621730	1.3780
14	40069	8.3715	40069	8.3742	40069	8.3721	40069	8.3755	635013559600	8.3753

Stats 9Y36 Main Top 72 Major Events 1996-2014

Best fit = bf

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

Value North South West East Empirical
5 0 0 0 0 0 0 0 0 10461673 0.0016
6 84 0.2096 73 0.1822 68 0.1697 77 0.1922 1222077835 0.1924
7 6623 16.5290 6628 16.5415 6704 16.7311 6678 16.6663 105351212255 16.5904
8 18342 45.7760 18353 45.8035 18166 45.3368 18184 45.3817 287234089436 45.2327
9 10897 27.1956 10887 27.1706 10977 27.3952 10973 27.3853 175437245133 27.6273
10 3380 8.4354 3386 8.4504 3489 8.7075 3492 8.7150 54701014789 8.6141
11 663 1.6546 662 1.6522 617 1.5398 617 1.5398 10008187498 1.5761
12 75 0.1872 75 0.1872 48 0.1198 48 0.1198 1006364496 0.1585
13 5 0.0125 5 0.0125 0 0 0 0 42906485 0.0068
9 40069 8.3289 40069 8.3293 40069 8.3284 40069 8.3286 635013559600 8.3327

Value	North	South	West	East	Empirical
5	0	0	0	0	0	0	0	0	10461673	0.0016
6	84	0.2096	73	0.1822	68	0.1697	77	0.1922	1222077835	0.1924
7	6623	16.5290	6628	16.5415	6704	16.7311	6678	16.6663	105351212255	16.5904
8	18342	45.7760	18353	45.8035	18166	45.3368	18184	45.3817	287234089436	45.2327
9	10897	27.1956	10887	27.1706	10977	27.3952	10973	27.3853	175437245133	27.6273
10	3380	8.4354	3386	8.4504	3489	8.7075	3492	8.7150	54701014789	8.6141
11	663	1.6546	662	1.6522	617	1.5398	617	1.5398	10008187498	1.5761
12	75	0.1872	75	0.1872	48	0.1198	48	0.1198	1006364496	0.1585
13	5	0.0125	5	0.0125	0	0	0	0	42906485	0.0068
9	40069	8.3289	40069	8.3293	40069	8.3284	40069	8.3286	635013559600	8.3327

Stats 9Y36 Main Top 72 Major Events 1996-2014

Best fit make = bm

Winnable tricks at double-dummy with most productive fit trumps

Value North South West East Empirical
0 0 0 0 0 0 0 0 0 1513990 0.0002
1 5 0.0125 4 0.0100 11 0.0275 11 0.0275 132231913 0.0208
2 75 0.1872 76 0.1897 77 0.1922 80 0.1997 1339624042 0.2110
3 351 0.8760 341 0.8510 385 0.9608 373 0.9309 5671089748 0.8931
4 1013 2.5281 1011 2.5231 984 2.4558 1000 2.4957 16177592015 2.5476
5 2254 5.6253 2226 5.5554 2275 5.6777 2254 5.6253 35415185536 5.5771
6 3839 9.5810 3897 9.7257 3976 9.9229 3932 9.8131 61775936908 9.7283
7 5750 14.3502 5723 14.2829 5557 13.8686 5589 13.9484 89711329037 14.1275
8 6967 17.3875 6986 17.4349 6932 17.3002 6953 17.3526 109962826727 17.3166
9 7214 18.0039 7183 17.9266 7131 17.7968 7097 17.7119 113305081446 17.8429
10 5977 14.9168 5966 14.8893 6121 15.2761 6194 15.4583 96187452851 15.1473
11 4098 10.2274 4136 10.3222 3986 9.9478 3936 9.8231 64547826059 10.1648
12 1974 4.9265 1971 4.9190 2066 5.1561 2085 5.2035 31646530587 4.9836
13 552 1.3776 549 1.3701 568 1.4176 565 1.4101 9139338741 1.4392
14 40069 8.3902 40069 8.3924 40069 8.3918 40069 8.3948 635013559600 8.3938

Value	North	South	West	East	Empirical
0	0	0	0	0	0	0	0	0	1513990	0.0002
1	5	0.0125	4	0.0100	11	0.0275	11	0.0275	132231913	0.0208
2	75	0.1872	76	0.1897	77	0.1922	80	0.1997	1339624042	0.2110
3	351	0.8760	341	0.8510	385	0.9608	373	0.9309	5671089748	0.8931
4	1013	2.5281	1011	2.5231	984	2.4558	1000	2.4957	16177592015	2.5476
5	2254	5.6253	2226	5.5554	2275	5.6777	2254	5.6253	35415185536	5.5771
6	3839	9.5810	3897	9.7257	3976	9.9229	3932	9.8131	61775936908	9.7283
7	5750	14.3502	5723	14.2829	5557	13.8686	5589	13.9484	89711329037	14.1275
8	6967	17.3875	6986	17.4349	6932	17.3002	6953	17.3526	109962826727	17.3166
9	7214	18.0039	7183	17.9266	7131	17.7968	7097	17.7119	113305081446	17.8429
10	5977	14.9168	5966	14.8893	6121	15.2761	6194	15.4583	96187452851	15.1473
11	4098	10.2274	4136	10.3222	3986	9.9478	3936	9.8231	64547826059	10.1648
12	1974	4.9265	1971	4.9190	2066	5.1561	2085	5.2035	31646530587	4.9836
13	552	1.3776	549	1.3701	568	1.4176	565	1.4101	9139338741	1.4392
14	40069	8.3902	40069	8.3924	40069	8.3918	40069	8.3948	635013559600	8.3938

Stats 9Y36 Main Top 72 Major Events 1996-2014

Highest make = H

Highest makable strain-tricks at double-dummy

Value North South West East Empirical
None = 0 0 0 0 0 0 0 0 0 1513990 0.0002
1 = 1 0 0 0 0 0 0 0 0 4027214 0.0006
1 = 2 1 0.0025 0 0 1 0.0025 1 0.0025 11612306 0.0018
1 = 3 0 0 0 0 0 0 0 0 25874094 0.0041
1 = 4 3 0.0075 3 0.0075 5 0.0125 5 0.0125 53231899 0.0084
N 1 = 5 1 0.0025 1 0.0025 5 0.0125 5 0.0125 36956503 0.0058
2 = 6 7 0.0175 7 0.0175 3 0.0075 3 0.0075 120316810 0.0189
2 = 7 5 0.0125 5 0.0125 9 0.0225 13 0.0324 198635528 0.0313
2 = 8 28 0.0699 28 0.0699 21 0.0524 22 0.0549 326628269 0.0514
2 = 9 17 0.0424 21 0.0524 30 0.0749 28 0.0699 500918833 0.0789
N 2 = 10 16 0.0399 15 0.0374 13 0.0324 12 0.0299 185145875 0.0292
3 = 11 39 0.0973 30 0.0749 61 0.1522 57 0.1423 708986520 0.1116
3 = 12 57 0.1423 61 0.1522 51 0.1273 57 0.1423 998658286 0.1573
3 = 13 76 0.1897 79 0.1972 102 0.2546 93 0.2321 1395338886 0.2197
3 = 14 135 0.3369 127 0.3170 113 0.2820 106 0.2645 1910125869 0.3008
N 3 = 15 41 0.1023 39 0.0973 56 0.1398 60 0.1497 600509115 0.0946
4 = 16 115 0.2870 121 0.3020 136 0.3394 145 0.3619 2289229042 0.3605
4 = 17 208 0.5191 214 0.5341 192 0.4792 195 0.4867 2994612265 0.4716
4 = 18 271 0.6763 262 0.6539 231 0.5765 239 0.5965 3903975403 0.6148
4 = 19 292 0.7287 293 0.7312 312 0.7787 321 0.8011 5081012026 0.8001
N 4 = 20 117 0.2920 113 0.2820 92 0.2296 85 0.2121 1713322270 0.2698
5 = 21 382 0.9534 381 0.9509 329 0.8211 342 0.8535 5390835002 0.8489
5 = 22 430 1.0731 424 1.0582 409 1.0207 393 0.9808 6765583620 1.0654
5 = 23 471 1.1755 461 1.1505 558 1.3926 550 1.3726 8498769442 1.3384
5 = 24 713 1.7794 698 1.7420 660 1.6472 652 1.6272 10602398413 1.6696
N 5 = 25 246 0.6139 248 0.6189 293 0.7312 294 0.7337 3790350430 0.5969
6 = 26 653 1.6297 655 1.6347 630 1.5723 627 1.5648 9966643603 1.5695
6 = 27 714 1.7819 725 1.8094 761 1.8992 751 1.8743 12109712021 1.9070
6 = 28 925 2.3085 937 2.3385 1029 2.5681 1007 2.5132 14729112069 2.3195
6 = 29 1114 2.7802 1154 2.8800 1106 2.7602 1096 2.7353 17910202521 2.8204
N 6 = 30 385 0.9608 378 0.9434 436 1.0881 417 1.0407 6534760658 1.0291
7 = 31 940 2.3460 923 2.3035 927 2.3135 925 2.3085 15075437352 2.3740
7 = 32 1183 2.9524 1188 2.9649 1105 2.7577 1149 2.8676 17958650211 2.8281
7 = 33 1372 3.4241 1352 3.3742 1335 3.3318 1313 3.2768 21361994439 3.3640
7 = 34 1630 4.0680 1606 4.0081 1516 3.7835 1537 3.8359 25528480621 4.0201
N 7 = 35 594 1.4824 617 1.5398 603 1.5049 626 1.5623 9154206125 1.4416
8 = 36 1103 2.7528 1126 2.8102 1196 2.9849 1215 3.0323 18791511418 2.9592
8 = 37 1343 3.3517 1307 3.2619 1377 3.4366 1384 3.4540 22088800625 3.4785
8 = 38 1736 4.3325 1780 4.4423 1717 4.2851 1707 4.2602 26002102208 4.0947
8 = 39 1986 4.9565 1983 4.9490 1874 4.6769 1842 4.5971 30496109913 4.8024
N 8 = 40 776 1.9367 787 1.9641 765 1.9092 758 1.8917 12173466153 1.9170
9 = 41 1185 2.9574 1185 2.9574 1242 3.0997 1245 3.1071 19155398988 3.0165
9 = 42 1520 3.7935 1500 3.7435 1457 3.6362 1430 3.5688 22679953280 3.5716
9 = 43 1706 4.2577 1689 4.2152 1624 4.0530 1591 3.9707 26645003052 4.1960
9 = 44 1948 4.8616 1946 4.8566 1908 4.7618 1926 4.8067 31116921638 4.9002
N 9 = 45 838 2.0914 831 2.0739 880 2.1962 912 2.2761 13776418529 2.1695
10 = 46 1092 2.7253 1097 2.7378 1060 2.6454 1080 2.6954 15678126613 2.4689
10 = 47 1145 2.8576 1144 2.8551 1179 2.9424 1239 3.0922 18845651711 2.9678
10 = 48 1359 3.3916 1391 3.4715 1509 3.7660 1498 3.7386 22346330376 3.5190
10 = 49 1587 3.9607 1557 3.8858 1611 4.0206 1609 4.0156 26213758053 4.1281
N 10 = 50 866 2.1613 849 2.1188 835 2.0839 833 2.0789 13730953401 2.1623
11 = 51 633 1.5798 642 1.6022 590 1.4725 583 1.4550 9697289588 1.5271
11 = 52 742 1.8518 731 1.8244 754 1.8818 745 1.8593 11914043914 1.8762
11 = 53 920 2.2960 931 2.3235 891 2.2237 909 2.2686 14305376462 2.2528
11 = 54 1076 2.6854 1097 2.7378 1025 2.5581 1019 2.5431 16882127404 2.6585
N 11 = 55 775 1.9342 786 1.9616 766 1.9117 723 1.8044 12637216524 1.9901
12 = 56 250 0.6239 264 0.6589 280 0.6988 286 0.7138 4042066459 0.6365
12 = 57 300 0.7487 302 0.7537 311 0.7762 304 0.7587 4996576787 0.7868
12 = 58 378 0.9434 390 0.9733 427 1.0657 413 1.0307 6084938998 0.9582
12 = 59 462 1.1530 469 1.1705 474 1.1830 481 1.2004 7241748711 1.1404
N 12 = 60 605 1.5099 564 1.4076 615 1.5349 640 1.5972 9797000990 1.5428
13 = 61 40 0.0998 38 0.0948 59 0.1472 50 0.1248 950467974 0.1497
13 = 62 82 0.2046 89 0.2221 66 0.1647 65 0.1622 1125576093 0.1773
13 = 63 68 0.1697 68 0.1697 92 0.2296 96 0.2396 1297292873 0.2043
13 = 64 91 0.2271 82 0.2046 113 0.2820 121 0.3020 1491113912 0.2348
N 13 = 65 276 0.6888 278 0.6938 242 0.6040 239 0.5965 4372449423 0.6886
66 40069 40.0651 40069 40.0723 40069 40.0787 40069 40.0892 635013559600 40.0915

Value	North	South	West	East	Empirical
None = 0	0	0	0	0	0	0	0	0	1513990	0.0002
1 = 1	0	0	0	0	0	0	0	0	4027214	0.0006
1 = 2	1	0.0025	0	0	1	0.0025	1	0.0025	11612306	0.0018
1 = 3	0	0	0	0	0	0	0	0	25874094	0.0041
1 = 4	3	0.0075	3	0.0075	5	0.0125	5	0.0125	53231899	0.0084
N 1 = 5	1	0.0025	1	0.0025	5	0.0125	5	0.0125	36956503	0.0058
2 = 6	7	0.0175	7	0.0175	3	0.0075	3	0.0075	120316810	0.0189
2 = 7	5	0.0125	5	0.0125	9	0.0225	13	0.0324	198635528	0.0313
2 = 8	28	0.0699	28	0.0699	21	0.0524	22	0.0549	326628269	0.0514
2 = 9	17	0.0424	21	0.0524	30	0.0749	28	0.0699	500918833	0.0789
N 2 = 10	16	0.0399	15	0.0374	13	0.0324	12	0.0299	185145875	0.0292
3 = 11	39	0.0973	30	0.0749	61	0.1522	57	0.1423	708986520	0.1116
3 = 12	57	0.1423	61	0.1522	51	0.1273	57	0.1423	998658286	0.1573
3 = 13	76	0.1897	79	0.1972	102	0.2546	93	0.2321	1395338886	0.2197
3 = 14	135	0.3369	127	0.3170	113	0.2820	106	0.2645	1910125869	0.3008
N 3 = 15	41	0.1023	39	0.0973	56	0.1398	60	0.1497	600509115	0.0946
4 = 16	115	0.2870	121	0.3020	136	0.3394	145	0.3619	2289229042	0.3605
4 = 17	208	0.5191	214	0.5341	192	0.4792	195	0.4867	2994612265	0.4716
4 = 18	271	0.6763	262	0.6539	231	0.5765	239	0.5965	3903975403	0.6148
4 = 19	292	0.7287	293	0.7312	312	0.7787	321	0.8011	5081012026	0.8001
N 4 = 20	117	0.2920	113	0.2820	92	0.2296	85	0.2121	1713322270	0.2698
5 = 21	382	0.9534	381	0.9509	329	0.8211	342	0.8535	5390835002	0.8489
5 = 22	430	1.0731	424	1.0582	409	1.0207	393	0.9808	6765583620	1.0654
5 = 23	471	1.1755	461	1.1505	558	1.3926	550	1.3726	8498769442	1.3384
5 = 24	713	1.7794	698	1.7420	660	1.6472	652	1.6272	10602398413	1.6696
N 5 = 25	246	0.6139	248	0.6189	293	0.7312	294	0.7337	3790350430	0.5969
6 = 26	653	1.6297	655	1.6347	630	1.5723	627	1.5648	9966643603	1.5695
6 = 27	714	1.7819	725	1.8094	761	1.8992	751	1.8743	12109712021	1.9070
6 = 28	925	2.3085	937	2.3385	1029	2.5681	1007	2.5132	14729112069	2.3195
6 = 29	1114	2.7802	1154	2.8800	1106	2.7602	1096	2.7353	17910202521	2.8204
N 6 = 30	385	0.9608	378	0.9434	436	1.0881	417	1.0407	6534760658	1.0291
7 = 31	940	2.3460	923	2.3035	927	2.3135	925	2.3085	15075437352	2.3740
7 = 32	1183	2.9524	1188	2.9649	1105	2.7577	1149	2.8676	17958650211	2.8281
7 = 33	1372	3.4241	1352	3.3742	1335	3.3318	1313	3.2768	21361994439	3.3640
7 = 34	1630	4.0680	1606	4.0081	1516	3.7835	1537	3.8359	25528480621	4.0201
N 7 = 35	594	1.4824	617	1.5398	603	1.5049	626	1.5623	9154206125	1.4416
8 = 36	1103	2.7528	1126	2.8102	1196	2.9849	1215	3.0323	18791511418	2.9592
8 = 37	1343	3.3517	1307	3.2619	1377	3.4366	1384	3.4540	22088800625	3.4785
8 = 38	1736	4.3325	1780	4.4423	1717	4.2851	1707	4.2602	26002102208	4.0947
8 = 39	1986	4.9565	1983	4.9490	1874	4.6769	1842	4.5971	30496109913	4.8024
N 8 = 40	776	1.9367	787	1.9641	765	1.9092	758	1.8917	12173466153	1.9170
9 = 41	1185	2.9574	1185	2.9574	1242	3.0997	1245	3.1071	19155398988	3.0165
9 = 42	1520	3.7935	1500	3.7435	1457	3.6362	1430	3.5688	22679953280	3.5716
9 = 43	1706	4.2577	1689	4.2152	1624	4.0530	1591	3.9707	26645003052	4.1960
9 = 44	1948	4.8616	1946	4.8566	1908	4.7618	1926	4.8067	31116921638	4.9002
N 9 = 45	838	2.0914	831	2.0739	880	2.1962	912	2.2761	13776418529	2.1695
10 = 46	1092	2.7253	1097	2.7378	1060	2.6454	1080	2.6954	15678126613	2.4689
10 = 47	1145	2.8576	1144	2.8551	1179	2.9424	1239	3.0922	18845651711	2.9678
10 = 48	1359	3.3916	1391	3.4715	1509	3.7660	1498	3.7386	22346330376	3.5190
10 = 49	1587	3.9607	1557	3.8858	1611	4.0206	1609	4.0156	26213758053	4.1281
N 10 = 50	866	2.1613	849	2.1188	835	2.0839	833	2.0789	13730953401	2.1623
11 = 51	633	1.5798	642	1.6022	590	1.4725	583	1.4550	9697289588	1.5271
11 = 52	742	1.8518	731	1.8244	754	1.8818	745	1.8593	11914043914	1.8762
11 = 53	920	2.2960	931	2.3235	891	2.2237	909	2.2686	14305376462	2.2528
11 = 54	1076	2.6854	1097	2.7378	1025	2.5581	1019	2.5431	16882127404	2.6585
N 11 = 55	775	1.9342	786	1.9616	766	1.9117	723	1.8044	12637216524	1.9901
12 = 56	250	0.6239	264	0.6589	280	0.6988	286	0.7138	4042066459	0.6365
12 = 57	300	0.7487	302	0.7537	311	0.7762	304	0.7587	4996576787	0.7868
12 = 58	378	0.9434	390	0.9733	427	1.0657	413	1.0307	6084938998	0.9582
12 = 59	462	1.1530	469	1.1705	474	1.1830	481	1.2004	7241748711	1.1404
N 12 = 60	605	1.5099	564	1.4076	615	1.5349	640	1.5972	9797000990	1.5428
13 = 61	40	0.0998	38	0.0948	59	0.1472	50	0.1248	950467974	0.1497
13 = 62	82	0.2046	89	0.2221	66	0.1647	65	0.1622	1125576093	0.1773
13 = 63	68	0.1697	68	0.1697	92	0.2296	96	0.2396	1297292873	0.2043
13 = 64	91	0.2271	82	0.2046	113	0.2820	121	0.3020	1491113912	0.2348
N 13 = 65	276	0.6888	278	0.6938	242	0.6040	239	0.5965	4372449423	0.6886
66	40069	40.0651	40069	40.0723	40069	40.0787	40069	40.0892	635013559600	40.0915

Stats 9Y36 Main Top 72 Major Events 1996-2014

On-lead highest make = O

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

Value North South West East Empirical
None = 0 0 0 0 0 0 0 0 0 1241472 0.0002
1 = 1 0 0 0 0 0 0 0 0 3239939 0.0005
1 = 2 0 0 0 0 1 0.0025 1 0.0025 9447300 0.0015
1 = 3 0 0 0 0 0 0 0 0 21574362 0.0034
1 = 4 2 0.0050 2 0.0050 4 0.0100 4 0.0100 42527988 0.0067
N 1 = 5 1 0.0025 1 0.0025 1 0.0025 1 0.0025 26388851 0.0042
2 = 6 5 0.0125 5 0.0125 2 0.0050 2 0.0050 84995416 0.0134
2 = 7 4 0.0100 5 0.0125 11 0.0275 12 0.0299 142224249 0.0224
2 = 8 21 0.0524 22 0.0549 11 0.0275 12 0.0299 231292299 0.0364
2 = 9 21 0.0524 19 0.0474 16 0.0399 22 0.0549 363266834 0.0572
N 2 = 10 8 0.0200 8 0.0200 7 0.0175 10 0.0250 127432564 0.0201
3 = 11 28 0.0699 31 0.0774 39 0.0973 39 0.0973 493076363 0.0776
3 = 12 42 0.1048 43 0.1073 36 0.0898 37 0.0923 693513539 0.1092
3 = 13 48 0.1198 51 0.1273 62 0.1547 67 0.1672 1000823292 0.1576
3 = 14 96 0.2396 92 0.2296 90 0.2246 79 0.1972 1395369165 0.2197
N 3 = 15 27 0.0674 27 0.0674 47 0.1173 52 0.1298 517057969 0.0814
4 = 16 88 0.2196 83 0.2071 116 0.2895 109 0.2720 1644254032 0.2589
4 = 17 134 0.3344 141 0.3519 138 0.3444 120 0.2995 2174377737 0.3424
4 = 18 187 0.4667 197 0.4917 181 0.4517 185 0.4617 2890268054 0.4552
4 = 19 221 0.5515 224 0.5590 249 0.6214 239 0.5965 3825111648 0.6024
N 4 = 20 103 0.2571 99 0.2471 105 0.2620 99 0.2471 1603391433 0.2525
5 = 21 260 0.6489 260 0.6489 227 0.5665 242 0.6040 3998705776 0.6297
5 = 22 346 0.8635 349 0.8710 313 0.7812 327 0.8161 5059967561 0.7968
5 = 23 379 0.9459 355 0.8860 388 0.9683 404 1.0083 6444920473 1.0149
5 = 24 560 1.3976 535 1.3352 483 1.2054 478 1.1929 8171172220 1.2868
N 5 = 25 237 0.5915 236 0.5890 278 0.6938 288 0.7188 3680646693 0.5796
6 = 26 471 1.1755 493 1.2304 485 1.2104 476 1.1880 7757580348 1.2216
6 = 27 542 1.3527 545 1.3602 597 1.4899 591 1.4750 9525027771 1.5000
6 = 28 652 1.6272 684 1.7071 786 1.9616 752 1.8768 11764658491 1.8527
6 = 29 915 2.2836 916 2.2861 935 2.3335 928 2.3160 14509280677 2.2849
N 6 = 30 420 1.0482 425 1.0607 470 1.1730 482 1.2029 6740920718 1.0615
7 = 31 818 2.0415 800 1.9966 760 1.8967 760 1.8967 12379732192 1.9495
7 = 32 992 2.4757 1011 2.5231 946 2.3609 948 2.3659 14970987161 2.3576
7 = 33 1159 2.8925 1150 2.8700 1165 2.9075 1167 2.9125 18071185110 2.8458
7 = 34 1422 3.5489 1439 3.5913 1335 3.3318 1354 3.3792 21830271641 3.4378
N 7 = 35 713 1.7794 688 1.7170 679 1.6946 666 1.6621 11424585988 1.7991
8 = 36 978 2.4408 991 2.4732 1014 2.5306 1012 2.5256 16339498138 2.5731
8 = 37 1187 2.9624 1228 3.0647 1217 3.0373 1219 3.0423 19709383181 3.1038
8 = 38 1591 3.9707 1590 3.9682 1532 3.8234 1549 3.8658 23605758352 3.7174
8 = 39 1857 4.6345 1821 4.5447 1669 4.1653 1667 4.1603 28085928185 4.4229
N 8 = 40 1047 2.6130 1046 2.6105 1020 2.5456 1015 2.5331 16270929517 2.5623
9 = 41 1094 2.7303 1079 2.6929 1137 2.8376 1197 2.9873 17610462720 2.7732
9 = 42 1368 3.4141 1333 3.3268 1368 3.4141 1342 3.3492 21330730539 3.3591
9 = 43 1586 3.9582 1600 3.9931 1576 3.9332 1576 3.9332 25409571822 4.0014
9 = 44 1831 4.5696 1876 4.6819 1865 4.6545 1858 4.6370 30048695498 4.7320
N 9 = 45 1281 3.1970 1271 3.1720 1308 3.2644 1308 3.2644 20125215758 3.1693
10 = 46 990 2.4707 992 2.4757 974 2.4308 938 2.3410 15180947336 2.3906
10 = 47 1187 2.9624 1160 2.8950 1204 3.0048 1196 2.9849 18360372398 2.8913
10 = 48 1406 3.5089 1407 3.5114 1456 3.6337 1398 3.4890 21797024413 3.4325
10 = 49 1591 3.9707 1584 3.9532 1600 3.9931 1618 4.0380 25500986557 4.0158
N 10 = 50 1456 3.6337 1466 3.6587 1396 3.4840 1412 3.5239 22971290435 3.6174
11 = 51 661 1.6497 658 1.6422 636 1.5873 650 1.6222 10149896990 1.5984
11 = 52 790 1.9716 790 1.9716 780 1.9466 797 1.9891 12077115810 1.9019
11 = 53 869 2.1688 867 2.1638 913 2.2786 935 2.3335 14119413033 2.2235
11 = 54 1023 2.5531 1047 2.6130 1003 2.5032 1020 2.5456 16390731570 2.5812
N 11 = 55 1404 3.5040 1369 3.4166 1384 3.4540 1359 3.3916 22941283147 3.6127
12 = 56 343 0.8560 341 0.8510 401 1.0008 387 0.9658 5500720419 0.8662
12 = 57 384 0.9583 369 0.9209 367 0.9159 378 0.9434 6227026988 0.9806
12 = 58 458 1.1430 471 1.1755 460 1.1480 458 1.1430 7033151127 1.1076
12 = 59 551 1.3751 557 1.3901 507 1.2653 517 1.2903 7852931458 1.2367
N 12 = 60 1075 2.6829 1086 2.7103 1107 2.7627 1108 2.7652 17849476370 2.8109
13 = 61 106 0.2645 112 0.2795 127 0.3170 128 0.3194 2037906651 0.3209
13 = 62 142 0.3544 142 0.3544 136 0.3394 138 0.3444 2187019556 0.3444
13 = 63 141 0.3519 141 0.3519 155 0.3868 149 0.3719 2314542960 0.3645
13 = 64 148 0.3694 142 0.3544 167 0.4168 163 0.4068 2451437963 0.3860
N 13 = 65 602 1.5024 597 1.4899 627 1.5648 624 1.5573 9913593383 1.5612
66 40069 42.0274 40069 42.0135 40069 42.0316 40069 42.0323 635013559600 42.0216

Value	North	South	West	East	Empirical
None = 0	0	0	0	0	0	0	0	0	1241472	0.0002
1 = 1	0	0	0	0	0	0	0	0	3239939	0.0005
1 = 2	0	0	0	0	1	0.0025	1	0.0025	9447300	0.0015
1 = 3	0	0	0	0	0	0	0	0	21574362	0.0034
1 = 4	2	0.0050	2	0.0050	4	0.0100	4	0.0100	42527988	0.0067
N 1 = 5	1	0.0025	1	0.0025	1	0.0025	1	0.0025	26388851	0.0042
2 = 6	5	0.0125	5	0.0125	2	0.0050	2	0.0050	84995416	0.0134
2 = 7	4	0.0100	5	0.0125	11	0.0275	12	0.0299	142224249	0.0224
2 = 8	21	0.0524	22	0.0549	11	0.0275	12	0.0299	231292299	0.0364
2 = 9	21	0.0524	19	0.0474	16	0.0399	22	0.0549	363266834	0.0572
N 2 = 10	8	0.0200	8	0.0200	7	0.0175	10	0.0250	127432564	0.0201
3 = 11	28	0.0699	31	0.0774	39	0.0973	39	0.0973	493076363	0.0776
3 = 12	42	0.1048	43	0.1073	36	0.0898	37	0.0923	693513539	0.1092
3 = 13	48	0.1198	51	0.1273	62	0.1547	67	0.1672	1000823292	0.1576
3 = 14	96	0.2396	92	0.2296	90	0.2246	79	0.1972	1395369165	0.2197
N 3 = 15	27	0.0674	27	0.0674	47	0.1173	52	0.1298	517057969	0.0814
4 = 16	88	0.2196	83	0.2071	116	0.2895	109	0.2720	1644254032	0.2589
4 = 17	134	0.3344	141	0.3519	138	0.3444	120	0.2995	2174377737	0.3424
4 = 18	187	0.4667	197	0.4917	181	0.4517	185	0.4617	2890268054	0.4552
4 = 19	221	0.5515	224	0.5590	249	0.6214	239	0.5965	3825111648	0.6024
N 4 = 20	103	0.2571	99	0.2471	105	0.2620	99	0.2471	1603391433	0.2525
5 = 21	260	0.6489	260	0.6489	227	0.5665	242	0.6040	3998705776	0.6297
5 = 22	346	0.8635	349	0.8710	313	0.7812	327	0.8161	5059967561	0.7968
5 = 23	379	0.9459	355	0.8860	388	0.9683	404	1.0083	6444920473	1.0149
5 = 24	560	1.3976	535	1.3352	483	1.2054	478	1.1929	8171172220	1.2868
N 5 = 25	237	0.5915	236	0.5890	278	0.6938	288	0.7188	3680646693	0.5796
6 = 26	471	1.1755	493	1.2304	485	1.2104	476	1.1880	7757580348	1.2216
6 = 27	542	1.3527	545	1.3602	597	1.4899	591	1.4750	9525027771	1.5000
6 = 28	652	1.6272	684	1.7071	786	1.9616	752	1.8768	11764658491	1.8527
6 = 29	915	2.2836	916	2.2861	935	2.3335	928	2.3160	14509280677	2.2849
N 6 = 30	420	1.0482	425	1.0607	470	1.1730	482	1.2029	6740920718	1.0615
7 = 31	818	2.0415	800	1.9966	760	1.8967	760	1.8967	12379732192	1.9495
7 = 32	992	2.4757	1011	2.5231	946	2.3609	948	2.3659	14970987161	2.3576
7 = 33	1159	2.8925	1150	2.8700	1165	2.9075	1167	2.9125	18071185110	2.8458
7 = 34	1422	3.5489	1439	3.5913	1335	3.3318	1354	3.3792	21830271641	3.4378
N 7 = 35	713	1.7794	688	1.7170	679	1.6946	666	1.6621	11424585988	1.7991
8 = 36	978	2.4408	991	2.4732	1014	2.5306	1012	2.5256	16339498138	2.5731
8 = 37	1187	2.9624	1228	3.0647	1217	3.0373	1219	3.0423	19709383181	3.1038
8 = 38	1591	3.9707	1590	3.9682	1532	3.8234	1549	3.8658	23605758352	3.7174
8 = 39	1857	4.6345	1821	4.5447	1669	4.1653	1667	4.1603	28085928185	4.4229
N 8 = 40	1047	2.6130	1046	2.6105	1020	2.5456	1015	2.5331	16270929517	2.5623
9 = 41	1094	2.7303	1079	2.6929	1137	2.8376	1197	2.9873	17610462720	2.7732
9 = 42	1368	3.4141	1333	3.3268	1368	3.4141	1342	3.3492	21330730539	3.3591
9 = 43	1586	3.9582	1600	3.9931	1576	3.9332	1576	3.9332	25409571822	4.0014
9 = 44	1831	4.5696	1876	4.6819	1865	4.6545	1858	4.6370	30048695498	4.7320
N 9 = 45	1281	3.1970	1271	3.1720	1308	3.2644	1308	3.2644	20125215758	3.1693
10 = 46	990	2.4707	992	2.4757	974	2.4308	938	2.3410	15180947336	2.3906
10 = 47	1187	2.9624	1160	2.8950	1204	3.0048	1196	2.9849	18360372398	2.8913
10 = 48	1406	3.5089	1407	3.5114	1456	3.6337	1398	3.4890	21797024413	3.4325
10 = 49	1591	3.9707	1584	3.9532	1600	3.9931	1618	4.0380	25500986557	4.0158
N 10 = 50	1456	3.6337	1466	3.6587	1396	3.4840	1412	3.5239	22971290435	3.6174
11 = 51	661	1.6497	658	1.6422	636	1.5873	650	1.6222	10149896990	1.5984
11 = 52	790	1.9716	790	1.9716	780	1.9466	797	1.9891	12077115810	1.9019
11 = 53	869	2.1688	867	2.1638	913	2.2786	935	2.3335	14119413033	2.2235
11 = 54	1023	2.5531	1047	2.6130	1003	2.5032	1020	2.5456	16390731570	2.5812
N 11 = 55	1404	3.5040	1369	3.4166	1384	3.4540	1359	3.3916	22941283147	3.6127
12 = 56	343	0.8560	341	0.8510	401	1.0008	387	0.9658	5500720419	0.8662
12 = 57	384	0.9583	369	0.9209	367	0.9159	378	0.9434	6227026988	0.9806
12 = 58	458	1.1430	471	1.1755	460	1.1480	458	1.1430	7033151127	1.1076
12 = 59	551	1.3751	557	1.3901	507	1.2653	517	1.2903	7852931458	1.2367
N 12 = 60	1075	2.6829	1086	2.7103	1107	2.7627	1108	2.7652	17849476370	2.8109
13 = 61	106	0.2645	112	0.2795	127	0.3170	128	0.3194	2037906651	0.3209
13 = 62	142	0.3544	142	0.3544	136	0.3394	138	0.3444	2187019556	0.3444
13 = 63	141	0.3519	141	0.3519	155	0.3868	149	0.3719	2314542960	0.3645
13 = 64	148	0.3694	142	0.3544	167	0.4168	163	0.4068	2451437963	0.3860
N 13 = 65	602	1.5024	597	1.4899	627	1.5648	624	1.5573	9913593383	1.5612
66	40069	42.0274	40069	42.0135	40069	42.0316	40069	42.0323	635013559600	42.0216

Stats 9Y36 Main Top 72 Major Events 1996-2014

Best scoring make = B

Best scoring undoubled makable contract at double-dummy

Value North South West East Empirical
None = 0 7462 18.6229 7480 18.6678 7644 19.0771 7576 18.9074 119358998783 18.7963
1 = 1 940 2.3460 923 2.3035 927 2.3135 925 2.3085 15075437352 2.3740
1 = 2 1183 2.9524 1188 2.9649 1105 2.7577 1149 2.8676 17958650211 2.8281
1 = 3 1372 3.4241 1352 3.3742 1335 3.3318 1313 3.2768 21361994439 3.3640
1 = 4 1630 4.0680 1606 4.0081 1516 3.7835 1537 3.8359 25528480621 4.0201
1 N = 5 594 1.4824 617 1.5398 603 1.5049 626 1.5623 9154206126 1.4416
2 = 6 1103 2.7528 1126 2.8102 1196 2.9849 1215 3.0323 18791511418 2.9592
2 = 7 1343 3.3517 1307 3.2619 1377 3.4366 1384 3.4540 22088800625 3.4785
2 = 8 1736 4.3325 1780 4.4423 1717 4.2851 1707 4.2602 26002102208 4.0947
2 = 9 1986 4.9565 1983 4.9490 1874 4.6769 1842 4.5971 30496109913 4.8024
3 = 10 914 2.2811 907 2.2636 952 2.3759 956 2.3859 15168880833 2.3887
3 = 11 1165 2.9075 1165 2.9075 1156 2.8850 1114 2.7802 17647767441 2.7791
2 N = 12 1402 3.4990 1400 3.4940 1356 3.3842 1363 3.4016 21192170146 3.3373
4 = 13 580 1.4475 579 1.4450 579 1.4450 569 1.4201 8352078922 1.3153
4 = 14 582 1.4525 587 1.4650 662 1.6522 687 1.7145 10306791805 1.6231
3 = 15 1945 4.8541 1921 4.7942 1889 4.7144 1859 4.6395 30412174290 4.7892
3 = 16 2242 5.5953 2236 5.5804 2198 5.4855 2230 5.5654 35369266210 5.5698
3 N = 17 1380 3.4441 1384 3.4540 1323 3.3018 1403 3.5015 21621810315 3.4049
5 = 18 316 0.7886 325 0.8111 313 0.7812 319 0.7961 4918954504 0.7746
5 = 19 375 0.9359 401 1.0008 410 1.0232 403 1.0058 6307419874 0.9933
4 = 20 1529 3.8159 1534 3.8284 1675 4.1803 1649 4.1154 24619813919 3.8771
4 = 21 1724 4.3026 1694 4.2277 1771 4.4199 1747 4.3600 28756868129 4.5285
4 N = 22 1243 3.1021 1216 3.0348 1130 2.8201 1150 2.8700 19299318906 3.0392
5 = 23 920 2.2960 931 2.3235 891 2.2237 909 2.2686 14305376462 2.2528
5 = 24 1076 2.6854 1097 2.7378 1025 2.5581 1019 2.5431 16882127404 2.6585
5 N = 25 775 1.9342 786 1.9616 766 1.9117 723 1.8044 12637216524 1.9901
6 = 26 250 0.6239 264 0.6589 280 0.6988 286 0.7138 4042066459 0.6365
6 = 27 300 0.7487 302 0.7537 311 0.7762 304 0.7587 4996576787 0.7868
6 = 28 378 0.9434 390 0.9733 427 1.0657 413 1.0307 6084938998 0.9582
6 = 29 462 1.1530 469 1.1705 474 1.1830 481 1.2004 7241748711 1.1404
6 N = 30 605 1.5099 564 1.4076 615 1.5349 640 1.5972 9797000990 1.5428
7 = 31 40 0.0998 38 0.0948 59 0.1472 50 0.1248 950467974 0.1497
7 = 32 82 0.2046 89 0.2221 66 0.1647 65 0.1622 1125576093 0.1773
7 = 33 68 0.1697 68 0.1697 92 0.2296 96 0.2396 1297292873 0.2043
7 = 34 91 0.2271 82 0.2046 113 0.2820 121 0.3020 1491113912 0.2348
7 N = 35 276 0.6888 278 0.6938 242 0.6040 239 0.5965 4372449423 0.6886
36 40069 11.3944 40069 11.3933 40069 11.4121 40069 11.4226 635013559600 11.4347

Value	North	South	West	East	Empirical
None = 0	7462	18.6229	7480	18.6678	7644	19.0771	7576	18.9074	119358998783	18.7963
1 = 1	940	2.3460	923	2.3035	927	2.3135	925	2.3085	15075437352	2.3740
1 = 2	1183	2.9524	1188	2.9649	1105	2.7577	1149	2.8676	17958650211	2.8281
1 = 3	1372	3.4241	1352	3.3742	1335	3.3318	1313	3.2768	21361994439	3.3640
1 = 4	1630	4.0680	1606	4.0081	1516	3.7835	1537	3.8359	25528480621	4.0201
1 N = 5	594	1.4824	617	1.5398	603	1.5049	626	1.5623	9154206126	1.4416
2 = 6	1103	2.7528	1126	2.8102	1196	2.9849	1215	3.0323	18791511418	2.9592
2 = 7	1343	3.3517	1307	3.2619	1377	3.4366	1384	3.4540	22088800625	3.4785
2 = 8	1736	4.3325	1780	4.4423	1717	4.2851	1707	4.2602	26002102208	4.0947
2 = 9	1986	4.9565	1983	4.9490	1874	4.6769	1842	4.5971	30496109913	4.8024
3 = 10	914	2.2811	907	2.2636	952	2.3759	956	2.3859	15168880833	2.3887
3 = 11	1165	2.9075	1165	2.9075	1156	2.8850	1114	2.7802	17647767441	2.7791
2 N = 12	1402	3.4990	1400	3.4940	1356	3.3842	1363	3.4016	21192170146	3.3373
4 = 13	580	1.4475	579	1.4450	579	1.4450	569	1.4201	8352078922	1.3153
4 = 14	582	1.4525	587	1.4650	662	1.6522	687	1.7145	10306791805	1.6231
3 = 15	1945	4.8541	1921	4.7942	1889	4.7144	1859	4.6395	30412174290	4.7892
3 = 16	2242	5.5953	2236	5.5804	2198	5.4855	2230	5.5654	35369266210	5.5698
3 N = 17	1380	3.4441	1384	3.4540	1323	3.3018	1403	3.5015	21621810315	3.4049
5 = 18	316	0.7886	325	0.8111	313	0.7812	319	0.7961	4918954504	0.7746
5 = 19	375	0.9359	401	1.0008	410	1.0232	403	1.0058	6307419874	0.9933
4 = 20	1529	3.8159	1534	3.8284	1675	4.1803	1649	4.1154	24619813919	3.8771
4 = 21	1724	4.3026	1694	4.2277	1771	4.4199	1747	4.3600	28756868129	4.5285
4 N = 22	1243	3.1021	1216	3.0348	1130	2.8201	1150	2.8700	19299318906	3.0392
5 = 23	920	2.2960	931	2.3235	891	2.2237	909	2.2686	14305376462	2.2528
5 = 24	1076	2.6854	1097	2.7378	1025	2.5581	1019	2.5431	16882127404	2.6585
5 N = 25	775	1.9342	786	1.9616	766	1.9117	723	1.8044	12637216524	1.9901
6 = 26	250	0.6239	264	0.6589	280	0.6988	286	0.7138	4042066459	0.6365
6 = 27	300	0.7487	302	0.7537	311	0.7762	304	0.7587	4996576787	0.7868
6 = 28	378	0.9434	390	0.9733	427	1.0657	413	1.0307	6084938998	0.9582
6 = 29	462	1.1530	469	1.1705	474	1.1830	481	1.2004	7241748711	1.1404
6 N = 30	605	1.5099	564	1.4076	615	1.5349	640	1.5972	9797000990	1.5428
7 = 31	40	0.0998	38	0.0948	59	0.1472	50	0.1248	950467974	0.1497
7 = 32	82	0.2046	89	0.2221	66	0.1647	65	0.1622	1125576093	0.1773
7 = 33	68	0.1697	68	0.1697	92	0.2296	96	0.2396	1297292873	0.2043
7 = 34	91	0.2271	82	0.2046	113	0.2820	121	0.3020	1491113912	0.2348
7 N = 35	276	0.6888	278	0.6938	242	0.6040	239	0.5965	4372449423	0.6886
36	40069	11.3944	40069	11.3933	40069	11.4121	40069	11.4226	635013559600	11.4347

Stats 9Y36 Main Top 72 Major Events 1996-2014

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 4 0.0100
70 = 1 0 0 2 0.0100 2 0.0050
80 = 2 36 0.1802 37 0.1842 73 0.1822
90 = 3 573 2.8680 604 3.0071 1177 2.9374
100 = 4 3276 16.3972 3236 16.1107 6512 16.2520
110 = 5 853 4.2695 904 4.5006 1757 4.3849
120 = 6 843 4.2194 811 4.0376 1654 4.1279
130 = 7 772 3.8641 889 4.4260 1661 4.1453
140 = 8 2229 11.1567 2100 10.4550 4329 10.8039
300 = 10 1091 5.4607 1099 5.4715 2190 5.4656
400 = 11 1581 7.9133 1637 8.1500 3218 8.0311
420 = 12 2226 11.1417 2308 11.4906 4534 11.3155
430 = 13 1245 6.2315 1146 5.7055 2391 5.9672
450 = 14 1841 9.2147 1773 8.8270 3614 9.0194
460 = 15 808 4.0442 794 3.9530 1602 3.9981
500 = 16 63 0.3153 81 0.4033 144 0.3594
800 = 22 184 0.9210 212 1.0555 396 0.9883
920 = 23 439 2.1973 461 2.2951 900 2.2461
980 = 24 721 3.6088 738 3.6742 1459 3.6412
990 = 25 639 3.1984 685 3.4103 1324 3.3043
1100 = 26 22 0.1101 26 0.1294 48 0.1198
1400 = 28 14 0.0701 27 0.1344 41 0.1023
1440 = 30 88 0.4405 79 0.3933 167 0.4168
1510 = 31 155 0.7758 194 0.9658 349 0.8710
1520 = 32 280 1.4015 243 1.2098 523 1.3052
25 19979 11.1290 20086 11.1797 40069 11.1533

Score	North-South Plus	West-East Plus	Absolute Times
0 = 0	0	0	0	0	4	0.0100
70 = 1	0	0	2	0.0100	2	0.0050
80 = 2	36	0.1802	37	0.1842	73	0.1822
90 = 3	573	2.8680	604	3.0071	1177	2.9374
100 = 4	3276	16.3972	3236	16.1107	6512	16.2520
110 = 5	853	4.2695	904	4.5006	1757	4.3849
120 = 6	843	4.2194	811	4.0376	1654	4.1279
130 = 7	772	3.8641	889	4.4260	1661	4.1453
140 = 8	2229	11.1567	2100	10.4550	4329	10.8039
300 = 10	1091	5.4607	1099	5.4715	2190	5.4656
400 = 11	1581	7.9133	1637	8.1500	3218	8.0311
420 = 12	2226	11.1417	2308	11.4906	4534	11.3155
430 = 13	1245	6.2315	1146	5.7055	2391	5.9672
450 = 14	1841	9.2147	1773	8.8270	3614	9.0194
460 = 15	808	4.0442	794	3.9530	1602	3.9981
500 = 16	63	0.3153	81	0.4033	144	0.3594
800 = 22	184	0.9210	212	1.0555	396	0.9883
920 = 23	439	2.1973	461	2.2951	900	2.2461
980 = 24	721	3.6088	738	3.6742	1459	3.6412
990 = 25	639	3.1984	685	3.4103	1324	3.3043
1100 = 26	22	0.1101	26	0.1294	48	0.1198
1400 = 28	14	0.0701	27	0.1344	41	0.1023
1440 = 30	88	0.4405	79	0.3933	167	0.4168
1510 = 31	155	0.7758	194	0.9658	349	0.8710
1520 = 32	280	1.4015	243	1.2098	523	1.3052
25	19979	11.1290	20086	11.1797	40069	11.1533

Stats 9Y36 Main Top 72 Major Events 1996-2014

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 4 0.0100
70 = 1 0 0 2 0.0100 2 0.0050
80 = 2 36 0.1802 37 0.1842 73 0.1822
90 = 3 573 2.8680 604 3.0071 1177 2.9374
100 = 4 3276 16.3972 0 0 3276 8.1759
110 = 5 853 4.2695 2158 10.7438 3011 7.5145
120 = 6 843 4.2194 1166 5.8050 2009 5.0139
130 = 7 772 3.8641 1087 5.4117 1859 4.6395
140 = 8 2229 11.1567 3028 15.0752 5257 13.1199
200 = 9 0 0 501 2.4943 501 1.2503
300 = 10 1091 5.4607 0 0 1091 2.7228
400 = 11 0 0 1958 9.7481 1958 4.8866
420 = 12 0 0 2905 14.4628 2905 7.2500
430 = 13 0 0 1188 5.9146 1188 2.9649
450 = 14 0 0 1877 9.3448 1877 4.6844
460 = 15 0 0 799 3.9779 799 1.9941
500 = 16 1717 8.5940 30 0.1494 1747 4.3600
600 = 17 1167 5.8411 0 0 1167 2.9125
620 = 18 1408 7.0474 0 0 1408 3.5139
630 = 19 1122 5.6159 0 0 1122 2.8002
650 = 20 1559 7.8032 0 0 1559 3.8908
660 = 21 791 3.9592 0 0 791 1.9741
800 = 22 184 0.9210 81 0.4033 265 0.6614
920 = 23 0 0 542 2.6984 542 1.3527
980 = 24 0 0 855 4.2567 855 2.1338
990 = 25 0 0 690 3.4352 690 1.7220
1100 = 26 315 1.5767 9 0.0448 324 0.8086
1370 = 27 314 1.5717 0 0 314 0.7836
1400 = 28 237 1.1862 26 0.1294 263 0.6564
1430 = 29 419 2.0972 0 0 419 1.0457
1440 = 30 550 2.7529 97 0.4829 647 1.6147
1510 = 31 0 0 203 1.0107 203 0.5066
1520 = 32 0 0 243 1.2098 243 0.6065
1700 = 33 22 0.1101 0 0 22 0.0549
2000 = 34 33 0.1652 0 0 33 0.0824
2140 = 35 46 0.2302 0 0 46 0.1148
2210 = 36 142 0.7107 0 0 142 0.3544
2220 = 37 280 1.4015 0 0 280 0.6988
38 19979 13.7675 20086 11.7774 40069 12.7685

Score	North-South Plus	West-East Plus	Absolute Times
0 = 0	0	0	0	0	4	0.0100
70 = 1	0	0	2	0.0100	2	0.0050
80 = 2	36	0.1802	37	0.1842	73	0.1822
90 = 3	573	2.8680	604	3.0071	1177	2.9374
100 = 4	3276	16.3972	0	0	3276	8.1759
110 = 5	853	4.2695	2158	10.7438	3011	7.5145
120 = 6	843	4.2194	1166	5.8050	2009	5.0139
130 = 7	772	3.8641	1087	5.4117	1859	4.6395
140 = 8	2229	11.1567	3028	15.0752	5257	13.1199
200 = 9	0	0	501	2.4943	501	1.2503
300 = 10	1091	5.4607	0	0	1091	2.7228
400 = 11	0	0	1958	9.7481	1958	4.8866
420 = 12	0	0	2905	14.4628	2905	7.2500
430 = 13	0	0	1188	5.9146	1188	2.9649
450 = 14	0	0	1877	9.3448	1877	4.6844
460 = 15	0	0	799	3.9779	799	1.9941
500 = 16	1717	8.5940	30	0.1494	1747	4.3600
600 = 17	1167	5.8411	0	0	1167	2.9125
620 = 18	1408	7.0474	0	0	1408	3.5139
630 = 19	1122	5.6159	0	0	1122	2.8002
650 = 20	1559	7.8032	0	0	1559	3.8908
660 = 21	791	3.9592	0	0	791	1.9741
800 = 22	184	0.9210	81	0.4033	265	0.6614
920 = 23	0	0	542	2.6984	542	1.3527
980 = 24	0	0	855	4.2567	855	2.1338
990 = 25	0	0	690	3.4352	690	1.7220
1100 = 26	315	1.5767	9	0.0448	324	0.8086
1370 = 27	314	1.5717	0	0	314	0.7836
1400 = 28	237	1.1862	26	0.1294	263	0.6564
1430 = 29	419	2.0972	0	0	419	1.0457
1440 = 30	550	2.7529	97	0.4829	647	1.6147
1510 = 31	0	0	203	1.0107	203	0.5066
1520 = 32	0	0	243	1.2098	243	0.6065
1700 = 33	22	0.1101	0	0	22	0.0549
2000 = 34	33	0.1652	0	0	33	0.0824
2140 = 35	46	0.2302	0	0	46	0.1148
2210 = 36	142	0.7107	0	0	142	0.3544
2220 = 37	280	1.4015	0	0	280	0.6988
38	19979	13.7675	20086	11.7774	40069	12.7685

Stats 9Y36 Main Top 72 Major Events 1996-2014

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 4 0.0100
70 = 1 0 0 2 0.0100 2 0.0050
80 = 2 36 0.1802 37 0.1842 73 0.1822
90 = 3 573 2.8680 604 3.0071 1177 2.9374
100 = 4 0 0 3236 16.1107 3236 8.0761
110 = 5 2154 10.7813 904 4.5006 3058 7.6318
120 = 6 1183 5.9212 811 4.0376 1994 4.9764
130 = 7 962 4.8151 889 4.4260 1851 4.6195
140 = 8 3164 15.8366 2100 10.4550 5264 13.1373
200 = 9 510 2.5527 0 0 510 1.2728
300 = 10 0 0 1099 5.4715 1099 2.7428
400 = 11 1923 9.6251 0 0 1923 4.7992
420 = 12 2765 13.8395 0 0 2765 6.9006
430 = 13 1287 6.4418 0 0 1287 3.2120
450 = 14 1971 9.8654 0 0 1971 4.9190
460 = 15 812 4.0643 0 0 812 2.0265
500 = 16 34 0.1702 1702 8.4736 1736 4.3325
600 = 17 0 0 1106 5.5063 1106 2.7602
620 = 18 0 0 1608 8.0056 1608 4.0131
630 = 19 0 0 1047 5.2126 1047 2.6130
650 = 20 0 0 1497 7.4530 1497 3.7361
660 = 21 0 0 779 3.8783 779 1.9441
800 = 22 63 0.3153 212 1.0555 275 0.6863
920 = 23 523 2.6177 0 0 523 1.3052
980 = 24 803 4.0192 0 0 803 2.0040
990 = 25 654 3.2734 0 0 654 1.6322
1100 = 26 3 0.0150 302 1.5035 305 0.7612
1370 = 27 0 0 355 1.7674 355 0.8860
1400 = 28 22 0.1101 271 1.3492 293 0.7312
1430 = 29 0 0 402 2.0014 402 1.0033
1440 = 30 101 0.5055 607 3.0220 708 1.7670
1510 = 31 156 0.7808 0 0 156 0.3893
1520 = 32 280 1.4015 0 0 280 0.6988
1700 = 33 0 0 23 0.1145 23 0.0574
2000 = 34 0 0 36 0.1792 36 0.0898
2140 = 35 0 0 45 0.2240 45 0.1123
2210 = 36 0 0 169 0.8414 169 0.4218
2220 = 37 0 0 243 1.2098 243 0.6065
38 19979 11.7240 20086 13.8201 40069 12.7736

Score	North-South Plus	West-East Plus	Absolute Times
0 = 0	0	0	0	0	4	0.0100
70 = 1	0	0	2	0.0100	2	0.0050
80 = 2	36	0.1802	37	0.1842	73	0.1822
90 = 3	573	2.8680	604	3.0071	1177	2.9374
100 = 4	0	0	3236	16.1107	3236	8.0761
110 = 5	2154	10.7813	904	4.5006	3058	7.6318
120 = 6	1183	5.9212	811	4.0376	1994	4.9764
130 = 7	962	4.8151	889	4.4260	1851	4.6195
140 = 8	3164	15.8366	2100	10.4550	5264	13.1373
200 = 9	510	2.5527	0	0	510	1.2728
300 = 10	0	0	1099	5.4715	1099	2.7428
400 = 11	1923	9.6251	0	0	1923	4.7992
420 = 12	2765	13.8395	0	0	2765	6.9006
430 = 13	1287	6.4418	0	0	1287	3.2120
450 = 14	1971	9.8654	0	0	1971	4.9190
460 = 15	812	4.0643	0	0	812	2.0265
500 = 16	34	0.1702	1702	8.4736	1736	4.3325
600 = 17	0	0	1106	5.5063	1106	2.7602
620 = 18	0	0	1608	8.0056	1608	4.0131
630 = 19	0	0	1047	5.2126	1047	2.6130
650 = 20	0	0	1497	7.4530	1497	3.7361
660 = 21	0	0	779	3.8783	779	1.9441
800 = 22	63	0.3153	212	1.0555	275	0.6863
920 = 23	523	2.6177	0	0	523	1.3052
980 = 24	803	4.0192	0	0	803	2.0040
990 = 25	654	3.2734	0	0	654	1.6322
1100 = 26	3	0.0150	302	1.5035	305	0.7612
1370 = 27	0	0	355	1.7674	355	0.8860
1400 = 28	22	0.1101	271	1.3492	293	0.7312
1430 = 29	0	0	402	2.0014	402	1.0033
1440 = 30	101	0.5055	607	3.0220	708	1.7670
1510 = 31	156	0.7808	0	0	156	0.3893
1520 = 32	280	1.4015	0	0	280	0.6988
1700 = 33	0	0	23	0.1145	23	0.0574
2000 = 34	0	0	36	0.1792	36	0.0898
2140 = 35	0	0	45	0.2240	45	0.1123
2210 = 36	0	0	169	0.8414	169	0.4218
2220 = 37	0	0	243	1.2098	243	0.6065
38	19979	11.7240	20086	13.8201	40069	12.7736

Stats 9Y36 Main Top 72 Major Events 1996-2014

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 4 0.0100
70 = 1 0 0 2 0.0100 2 0.0050
80 = 2 36 0.1802 37 0.1842 73 0.1822
90 = 3 573 2.8680 604 3.0071 1177 2.9374
110 = 5 2154 10.7813 2158 10.7438 4312 10.7614
120 = 6 1183 5.9212 1166 5.8050 2349 5.8624
130 = 7 962 4.8151 1087 5.4117 2049 5.1137
140 = 8 3164 15.8366 3028 15.0752 6192 15.4533
200 = 9 510 2.5527 501 2.4943 1011 2.5231
500 = 16 1091 5.4607 1099 5.4715 2190 5.4656
600 = 17 1581 7.9133 1637 8.1500 3218 8.0311
620 = 18 2226 11.1417 2308 11.4906 4534 11.3155
630 = 19 1245 6.2315 1146 5.7055 2391 5.9672
650 = 20 1841 9.2147 1773 8.8270 3614 9.0194
660 = 21 808 4.0442 794 3.9530 1602 3.9981
800 = 22 63 0.3153 81 0.4033 144 0.3594
1100 = 26 184 0.9210 212 1.0555 396 0.9883
1370 = 27 439 2.1973 461 2.2951 900 2.2461
1400 = 28 190 0.9510 196 0.9758 386 0.9633
1430 = 29 588 2.9431 585 2.9125 1173 2.9275
1440 = 30 604 3.0232 668 3.3257 1272 3.1745
1700 = 33 14 0.0701 27 0.1344 41 0.1023
2000 = 34 22 0.1101 23 0.1145 45 0.1123
2140 = 35 71 0.3554 63 0.3137 134 0.3344
2210 = 36 150 0.7508 187 0.9310 337 0.8410
2220 = 37 280 1.4015 243 1.2098 523 1.3052
26 19979 14.8210 20086 14.8719 40069 14.8450

Score	North-South Plus	West-East Plus	Absolute Times
0 = 0	0	0	0	0	4	0.0100
70 = 1	0	0	2	0.0100	2	0.0050
80 = 2	36	0.1802	37	0.1842	73	0.1822
90 = 3	573	2.8680	604	3.0071	1177	2.9374
110 = 5	2154	10.7813	2158	10.7438	4312	10.7614
120 = 6	1183	5.9212	1166	5.8050	2349	5.8624
130 = 7	962	4.8151	1087	5.4117	2049	5.1137
140 = 8	3164	15.8366	3028	15.0752	6192	15.4533
200 = 9	510	2.5527	501	2.4943	1011	2.5231
500 = 16	1091	5.4607	1099	5.4715	2190	5.4656
600 = 17	1581	7.9133	1637	8.1500	3218	8.0311
620 = 18	2226	11.1417	2308	11.4906	4534	11.3155
630 = 19	1245	6.2315	1146	5.7055	2391	5.9672
650 = 20	1841	9.2147	1773	8.8270	3614	9.0194
660 = 21	808	4.0442	794	3.9530	1602	3.9981
800 = 22	63	0.3153	81	0.4033	144	0.3594
1100 = 26	184	0.9210	212	1.0555	396	0.9883
1370 = 27	439	2.1973	461	2.2951	900	2.2461
1400 = 28	190	0.9510	196	0.9758	386	0.9633
1430 = 29	588	2.9431	585	2.9125	1173	2.9275
1440 = 30	604	3.0232	668	3.3257	1272	3.1745
1700 = 33	14	0.0701	27	0.1344	41	0.1023
2000 = 34	22	0.1101	23	0.1145	45	0.1123
2140 = 35	71	0.3554	63	0.3137	134	0.3344
2210 = 36	150	0.7508	187	0.9310	337	0.8410
2220 = 37	280	1.4015	243	1.2098	523	1.3052
26	19979	14.8210	20086	14.8719	40069	14.8450

Stats 9Y36 Main Top 72 Major Events 1996-2014

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 18 0.4266 17 0.4029 6 0.1422 5 0.1185
13 436 10.3342 343 8.1299 394 9.3387 301 7.1344
14 2064 48.9215 2013 47.7127 2096 49.6800 2041 48.3764
15 1449 34.3446 1569 37.1889 1477 35.0083 1593 37.7578
16 219 5.1908 243 5.7597 213 5.0486 245 5.8071
17 32 0.7585 33 0.7822 32 0.7585 33 0.7822
18 1 0.0237 1 0.0237 1 0.0237 1 0.0237
7 4219 14.3591 4219 14.4221 4219 14.3785 4219 14.4444

Stats 9Y36 Main Top 72 Major Events 1996-2014

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 0.1197 4 0.0958 1 0.0239 0 0
13 71 1.6998 46 1.1013 50 1.1970 37 0.8858
14 683 16.3514 599 14.3404 695 16.6387 607 14.5320
15 1942 46.4927 1921 45.9899 1953 46.7560 1924 46.0618
16 1242 29.7343 1337 32.0086 1242 29.7343 1339 32.0565
17 216 5.1712 246 5.8894 218 5.2191 246 5.8894
18 18 0.4309 24 0.5746 18 0.4309 24 0.5746
7 4177 15.2126 4177 15.2868 4177 15.2236 4177 15.2926

Stats 9Y36 Main Top 72 Major Events 1996-2014

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
12 5 0.0459 3 0.0276 3 0.0276 0 0
13 57 0.5237 50 0.4594 11 0.1011 10 0.0919
14 417 3.8313 350 3.2157 301 2.7655 243 2.2326
15 2312 21.2422 2111 19.3954 2252 20.6909 2007 18.4399
16 4489 41.2440 4586 42.1352 4636 42.5946 4739 43.5410
17 2801 25.7350 2888 26.5344 2853 26.2128 2963 27.2234
18 690 6.3396 772 7.0930 720 6.6152 796 7.3135
19 97 0.8912 102 0.9372 87 0.7993 104 0.9555
20 16 0.1470 22 0.2021 21 0.1929 22 0.2021
9 10884 16.1102 10884 16.1702 10884 16.1598 10884 16.2234

Stats 9Y36 Main Top 72 Major Events 1996-2014

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
13 13 0.1389 13 0.1389 1 0.0107 1 0.0107
14 46 0.4915 43 0.4594 32 0.3419 27 0.2885
15 433 4.6261 365 3.8996 398 4.2521 315 3.3654
16 2100 22.4359 1980 21.1538 2092 22.3504 1951 20.8440
17 3623 38.7073 3648 38.9744 3644 38.9316 3687 39.3910
18 2469 26.3782 2575 27.5107 2504 26.7521 2634 28.1410
19 582 6.2179 631 6.7415 597 6.3782 640 6.8376
20 87 0.9295 97 1.0363 86 0.9188 97 1.0363
21 7 0.0748 8 0.0855 6 0.0641 8 0.0855
9 9360 17.0818 9360 17.1356 9360 17.1060 9360 17.1678

Stats 9Y36 Main Top 72 Major Events 1996-2014

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
14 2 0.0333 2 0.0333 3 0.0500 2 0.0333
15 43 0.7160 33 0.5495 33 0.5495 27 0.4496
16 433 7.2095 381 6.3437 394 6.5601 340 5.6610
17 1525 25.3913 1477 24.5921 1487 24.7586 1417 23.5931
18 2129 35.4479 2161 35.9807 2140 35.6310 2172 36.1638
19 1358 22.6107 1390 23.1435 1413 23.5265 1463 24.3590
20 436 7.2594 478 7.9587 447 7.4426 488 8.1252
21 73 1.2155 73 1.2155 79 1.3154 85 1.4153
22 7 0.1166 11 0.1832 10 0.1665 12 0.1998
9 6006 17.9915 6006 18.0438 6006 18.0330 6006 18.0926

Stats 9Y36 Main Top 72 Major Events 1996-2014

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 6 0.1800 6 0.1800 1 0.0300 1 0.0300
16 52 1.5602 39 1.1701 47 1.4101 33 0.9901
17 342 10.2610 320 9.6010 319 9.5710 299 8.9709
18 943 28.2928 917 27.5128 919 27.5728 892 26.7627
19 1115 33.4533 1121 33.6334 1140 34.2034 1153 34.5935
20 636 19.0819 672 20.1620 660 19.8020 685 20.5521
21 184 5.5206 192 5.7606 186 5.5806 203 6.0906
22 48 1.4401 58 1.7402 52 1.5602 57 1.7102
23 7 0.2100 8 0.2400 9 0.2700 10 0.3000
9 3333 18.8107 3333 18.8692 3333 18.8566 3333 18.9127

Stats 9Y36 Main Top 72 Major Events 1996-2014

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 4 0.2755 4 0.2755 1 0.0689 1 0.0689
17 42 2.8926 37 2.5482 35 2.4105 30 2.0661
18 288 19.8347 282 19.4215 267 18.3884 260 17.9063
19 434 29.8898 419 28.8567 440 30.3030 428 29.4766
20 421 28.9945 421 28.9945 433 29.8209 431 29.6832
21 219 15.0826 240 16.5289 228 15.7025 250 17.2176
22 35 2.4105 40 2.7548 39 2.6860 43 2.9614
23 8 0.5510 8 0.5510 8 0.5510 8 0.5510
24 1 0.0689 1 0.0689 1 0.0689 1 0.0689
9 1452 19.4249 1452 19.4752 1452 19.4842 1452 19.5331

Stats 9Y36 Main Top 72 Major Events 1996-2014

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 1 0.1957 1 0.1957 1 0.1957 1 0.1957
18 41 8.0235 40 7.8278 38 7.4364 36 7.0450
19 126 24.6575 120 23.4834 123 24.0705 119 23.2877
20 187 36.5949 187 36.5949 190 37.1820 185 36.2035
21 102 19.9609 106 20.7436 103 20.1566 111 21.7221
22 37 7.2407 38 7.4364 39 7.6321 39 7.6321
23 11 2.1526 9 1.7613 9 1.7613 10 1.9569
24 6 1.1742 10 1.9569 8 1.5656 10 1.9569
8 511 20.0431 511 20.0900 511 20.0744 511 20.1272

Stats 9Y36 Main Top 72 Major Events 1996-2014

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 0.9524 1 0.9524 0 0 0 0
18 5 4.7619 4 3.8095 6 5.7143 5 4.7619
19 20 19.0476 21 20.0000 16 15.2381 16 15.2381
20 14 13.3333 12 11.4286 18 17.1429 17 16.1905
21 37 35.2381 34 32.3810 33 31.4286 33 31.4286
22 16 15.2381 21 20.0000 17 16.1905 18 17.1429
23 11 10.4762 11 10.4762 14 13.3333 15 14.2857
24 1 0.9524 1 0.9524 1 0.9524 1 0.9524
8 105 20.6952 105 20.7714 105 20.8095 105 20.8762

Double-dummy stats for 40,069 deals

Stats 9Y36 Main Top 72 Major Events 1996-2014

Tricks	Longest by Longer		Longest Right-sided		Best Fit by Longer		Best Fit Right-sided
12	18	0.4266	17	0.4029	6	0.1422	5	0.1185
13	436	10.3342	343	8.1299	394	9.3387	301	7.1344
14	2064	48.9215	2013	47.7127	2096	49.6800	2041	48.3764
15	1449	34.3446	1569	37.1889	1477	35.0083	1593	37.7578
16	219	5.1908	243	5.7597	213	5.0486	245	5.8071
17	32	0.7585	33	0.7822	32	0.7585	33	0.7822
18	1	0.0237	1	0.0237	1	0.0237	1	0.0237
7	4219	14.3591	4219	14.4221	4219	14.3785	4219	14.4444

Tricks	Longest by Longer		Longest Right-sided		Best Fit by Longer		Best Fit Right-sided
12	5	0.1197	4	0.0958	1	0.0239	0	0
13	71	1.6998	46	1.1013	50	1.1970	37	0.8858
14	683	16.3514	599	14.3404	695	16.6387	607	14.5320
15	1942	46.4927	1921	45.9899	1953	46.7560	1924	46.0618
16	1242	29.7343	1337	32.0086	1242	29.7343	1339	32.0565
17	216	5.1712	246	5.8894	218	5.2191	246	5.8894
18	18	0.4309	24	0.5746	18	0.4309	24	0.5746
7	4177	15.2126	4177	15.2868	4177	15.2236	4177	15.2926

Tricks	Longest by Longer		Longest Right-sided		Best Fit by Longer		Best Fit Right-sided
12	5	0.0459	3	0.0276	3	0.0276	0	0
13	57	0.5237	50	0.4594	11	0.1011	10	0.0919
14	417	3.8313	350	3.2157	301	2.7655	243	2.2326
15	2312	21.2422	2111	19.3954	2252	20.6909	2007	18.4399
16	4489	41.2440	4586	42.1352	4636	42.5946	4739	43.5410
17	2801	25.7350	2888	26.5344	2853	26.2128	2963	27.2234
18	690	6.3396	772	7.0930	720	6.6152	796	7.3135
19	97	0.8912	102	0.9372	87	0.7993	104	0.9555
20	16	0.1470	22	0.2021	21	0.1929	22	0.2021
9	10884	16.1102	10884	16.1702	10884	16.1598	10884	16.2234

Tricks	Longest by Longer		Longest Right-sided		Best Fit by Longer		Best Fit Right-sided
13	13	0.1389	13	0.1389	1	0.0107	1	0.0107
14	46	0.4915	43	0.4594	32	0.3419	27	0.2885
15	433	4.6261	365	3.8996	398	4.2521	315	3.3654
16	2100	22.4359	1980	21.1538	2092	22.3504	1951	20.8440
17	3623	38.7073	3648	38.9744	3644	38.9316	3687	39.3910
18	2469	26.3782	2575	27.5107	2504	26.7521	2634	28.1410
19	582	6.2179	631	6.7415	597	6.3782	640	6.8376
20	87	0.9295	97	1.0363	86	0.9188	97	1.0363
21	7	0.0748	8	0.0855	6	0.0641	8	0.0855
9	9360	17.0818	9360	17.1356	9360	17.1060	9360	17.1678

Tricks	Longest by Longer		Longest Right-sided		Best Fit by Longer		Best Fit Right-sided
14	2	0.0333	2	0.0333	3	0.0500	2	0.0333
15	43	0.7160	33	0.5495	33	0.5495	27	0.4496
16	433	7.2095	381	6.3437	394	6.5601	340	5.6610
17	1525	25.3913	1477	24.5921	1487	24.7586	1417	23.5931
18	2129	35.4479	2161	35.9807	2140	35.6310	2172	36.1638
19	1358	22.6107	1390	23.1435	1413	23.5265	1463	24.3590
20	436	7.2594	478	7.9587	447	7.4426	488	8.1252
21	73	1.2155	73	1.2155	79	1.3154	85	1.4153
22	7	0.1166	11	0.1832	10	0.1665	12	0.1998
9	6006	17.9915	6006	18.0438	6006	18.0330	6006	18.0926

Tricks	Longest by Longer		Longest Right-sided		Best Fit by Longer		Best Fit Right-sided
15	6	0.1800	6	0.1800	1	0.0300	1	0.0300
16	52	1.5602	39	1.1701	47	1.4101	33	0.9901
17	342	10.2610	320	9.6010	319	9.5710	299	8.9709
18	943	28.2928	917	27.5128	919	27.5728	892	26.7627
19	1115	33.4533	1121	33.6334	1140	34.2034	1153	34.5935
20	636	19.0819	672	20.1620	660	19.8020	685	20.5521
21	184	5.5206	192	5.7606	186	5.5806	203	6.0906
22	48	1.4401	58	1.7402	52	1.5602	57	1.7102
23	7	0.2100	8	0.2400	9	0.2700	10	0.3000
9	3333	18.8107	3333	18.8692	3333	18.8566	3333	18.9127

Tricks	Longest by Longer		Longest Right-sided		Best Fit by Longer		Best Fit Right-sided
16	4	0.2755	4	0.2755	1	0.0689	1	0.0689
17	42	2.8926	37	2.5482	35	2.4105	30	2.0661
18	288	19.8347	282	19.4215	267	18.3884	260	17.9063
19	434	29.8898	419	28.8567	440	30.3030	428	29.4766
20	421	28.9945	421	28.9945	433	29.8209	431	29.6832
21	219	15.0826	240	16.5289	228	15.7025	250	17.2176
22	35	2.4105	40	2.7548	39	2.6860	43	2.9614
23	8	0.5510	8	0.5510	8	0.5510	8	0.5510
24	1	0.0689	1	0.0689	1	0.0689	1	0.0689
9	1452	19.4249	1452	19.4752	1452	19.4842	1452	19.5331

Tricks	Longest by Longer		Longest Right-sided		Best Fit by Longer		Best Fit Right-sided
17	1	0.1957	1	0.1957	1	0.1957	1	0.1957
18	41	8.0235	40	7.8278	38	7.4364	36	7.0450
19	126	24.6575	120	23.4834	123	24.0705	119	23.2877
20	187	36.5949	187	36.5949	190	37.1820	185	36.2035
21	102	19.9609	106	20.7436	103	20.1566	111	21.7221
22	37	7.2407	38	7.4364	39	7.6321	39	7.6321
23	11	2.1526	9	1.7613	9	1.7613	10	1.9569
24	6	1.1742	10	1.9569	8	1.5656	10	1.9569
8	511	20.0431	511	20.0900	511	20.0744	511	20.1272

Tricks	Longest by Longer		Longest Right-sided		Best Fit by Longer		Best Fit Right-sided
17	1	0.9524	1	0.9524	0	0	0	0
18	5	4.7619	4	3.8095	6	5.7143	5	4.7619
19	20	19.0476	21	20.0000	16	15.2381	16	15.2381
20	14	13.3333	12	11.4286	18	17.1429	17	16.1905
21	37	35.2381	34	32.3810	33	31.4286	33	31.4286
22	16	15.2381	21	20.0000	17	16.1905	18	17.1429
23	11	10.4762	11	10.4762	14	13.3333	15	14.2857
24	1	0.9524	1	0.9524	1	0.9524	1	0.9524
8	105	20.6952	105	20.7714	105	20.8095	105	20.8762