Main   Stats 8H30 by Richard Pavlicek  

RP BBO Matches

Double-dummy stats for 20,069 deals

Each table lists all possible values for each statistic, with the number of occurrences and percent for each hand (or specified circumstance). The most frequent occurrence (mode) is tinted gold, the second-most paler gold, and the third-most even paler. The bottom line shows the number of unique values (U), the total number of occurrences, and the average (mean) value.

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 23 24 25

The last column in the first 12 tables shows the expected occurrence and percent of each value. “Theoretical” means it is mathematically determined and exact. “Empirical” means it is estimated from actual evidence, which for double-dummy results is the only way possible.

Percents and averages are rounded to four decimal places, unless zero, which is shown as a single digit. Hence 0.0000 percent is greater than zero but simply rounds that way to the nearest 10,000th.

Top     Main

Notrump make = M

Value	North	South	West	East	Empirical
0	346  1.7241	344  1.7141	314  1.5646	315  1.5696	9913593383  1.5612
1	782  3.8966	772  3.8467	732  3.6474	741  3.6923	23145762677  3.6449
2	1195  5.9545	1209  6.0242	1161  5.7850	1152  5.7402	37977932067  5.9806
3	1684  8.3911	1695  8.4459	1634  8.1419	1639  8.1668	52871069846  8.3260
4	2141 10.6682	2131 10.6184	2125 10.5885	2116 10.5436	67524194742 10.6335
5	2480 12.3574	2456 12.2378	2573 12.8208	2564 12.7759	80101714628 12.6142
6	2786 13.8821	2780 13.8522	2923 14.5648	2927 14.5847	90730441332 14.2880
7	2691 13.4087	2695 13.4287	2558 12.7460	2598 12.9453	84402158672 13.2914
8	2277 11.3459	2313 11.5252	2221 11.0668	2209 11.0070	71237104568 11.2182
9	1556  7.7533	1545  7.6984	1520  7.5739	1533  7.6386	47702049563  7.5120
10	1018  5.0725	1026  5.1124	1067  5.3167	1048  5.2220	32569065440  5.1289
11	581  2.8950	585  2.9149	661  3.2936	664  3.3086	20600866092  3.2442
12	385  1.9184	373  1.8586	425  2.1177	408  2.0330	11865157167  1.8685
13	147  0.7325	145  0.7225	155  0.7723	155  0.7723	4372449423  0.6886
U = 14	20069  5.9825	20069  5.9838	20069  6.0426	20069  6.0371	635013559600  6.0066

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Spade make = sm

Value	North	South	West	East	Empirical
0	219  1.0912	223  1.1112	208  1.0364	206  1.0265	6949893015  1.0944
1	575  2.8651	568  2.8302	578  2.8801	587  2.9249	17646817412  2.7790
2	1072  5.3416	1056  5.2618	1011  5.0376	1014  5.0526	32992452829  5.1956
3	1534  7.6436	1531  7.6287	1586  7.9027	1578  7.8629	50476652542  7.9489
4	2087 10.3991	2119 10.5586	2082 10.3742	2083 10.3792	66372975438 10.4522
5	2434 12.1282	2446 12.1880	2576 12.8357	2563 12.7709	77821925315 12.2552
6	2608 12.9952	2576 12.8357	2653 13.2194	2645 13.1795	82551854345 13.0000
7	2606 12.9852	2591 12.9105	2443 12.1730	2467 12.2926	80760822737 12.7180
8	2365 11.7843	2391 11.9139	2297 11.4455	2294 11.4306	73465633954 11.5691
9	1851  9.2232	1848  9.2082	1882  9.3776	1897  9.4524	60489162482  9.5256
10	1415  7.0507	1413  7.0407	1382  6.8862	1360  6.7766	43661750688  6.8757
11	800  3.9862	807  4.0211	875  4.3600	888  4.4247	26377787548  4.1539
12	404  2.0131	402  2.0031	390  1.9433	379  1.8885	12128527136  1.9100
13	99  0.4933	98  0.4883	106  0.5282	108  0.5381	3317304159  0.5224
U = 14	20069  6.2979	20069  6.3001	20069  6.2984	20069  6.2973	635013559600  6.2957

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Heart make = hm

Value	North	South	West	East	Empirical
0	235  1.1710	231  1.1510	220  1.0962	213  1.0613	6949893015  1.0944
1	583  2.9050	590  2.9399	568  2.8302	568  2.8302	17646817412  2.7790
2	1077  5.3665	1064  5.3017	1021  5.0874	1024  5.1024	32992452829  5.1956
3	1614  8.0423	1618  8.0622	1579  7.8679	1574  7.8429	50476652542  7.9489
4	2135 10.6383	2142 10.6732	2101 10.4689	2100 10.4639	66372975438 10.4522
5	2465 12.2826	2470 12.3075	2461 12.2627	2461 12.2627	77821925315 12.2552
6	2562 12.7660	2533 12.6215	2542 12.6663	2546 12.6862	82551854345 13.0000
7	2517 12.5417	2537 12.6414	2488 12.3972	2513 12.5218	80760822737 12.7180
8	2293 11.4256	2300 11.4605	2356 11.7395	2341 11.6648	73465633954 11.5691
9	1912  9.5271	1901  9.4723	1952  9.7264	1977  9.8510	60489162482  9.5256
10	1361  6.7816	1358  6.7667	1378  6.8663	1361  6.7816	43661750688  6.8757
11	819  4.0809	832  4.1457	880  4.3849	875  4.3600	26377787548  4.1539
12	389  1.9383	385  1.9184	400  1.9931	393  1.9582	12128527136  1.9100
13	107  0.5332	108  0.5381	123  0.6129	123  0.6129	3317304159  0.5224
U = 14	20069  6.2616	20069  6.2640	20069  6.3281	20069  6.3272	635013559600  6.2957

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Diamond make = dm

Value	North	South	West	East	Empirical
0	251  1.2507	250  1.2457	192  0.9567	195  0.9716	6949893015  1.0944
1	565  2.8153	565  2.8153	589  2.9349	580  2.8900	17646817412  2.7790
2	1019  5.0775	1012  5.0426	983  4.8981	982  4.8931	32992452829  5.1956
3	1660  8.2715	1650  8.2216	1548  7.7134	1553  7.7383	50476652542  7.9489
4	2087 10.3991	2107 10.4988	2125 10.5885	2128 10.6034	66372975438 10.4522
5	2357 11.7445	2347 11.6947	2577 12.8407	2573 12.8208	77821925315 12.2552
6	2626 13.0849	2627 13.0898	2595 12.9304	2575 12.8307	82551854345 13.0000
7	2588 12.8955	2580 12.8556	2524 12.5766	2555 12.7311	80760822737 12.7180
8	2425 12.0833	2407 11.9936	2265 11.2861	2263 11.2761	73465633954 11.5691
9	1887  9.4026	1929  9.6118	1937  9.6517	1914  9.5371	60489162482  9.5256
10	1312  6.5374	1298  6.4677	1383  6.8912	1399  6.9710	43661750688  6.8757
11	809  4.0311	813  4.0510	824  4.1058	821  4.0909	26377787548  4.1539
12	386  1.9234	384  1.9134	409  2.0380	413  2.0579	12128527136  1.9100
13	97  0.4833	100  0.4983	118  0.5880	118  0.5880	3317304159  0.5224
U = 14	20069  6.2725	20069  6.2769	20069  6.3138	20069  6.3160	635013559600  6.2957

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Club make = cm

Value	North	South	West	East	Empirical
0	236  1.1759	244  1.2158	225  1.1211	224  1.1161	6949893015  1.0944
1	607  3.0246	586  2.9199	534  2.6608	532  2.6509	17646817412  2.7790
2	1019  5.0775	1028  5.1223	1022  5.0924	1018  5.0725	32992452829  5.1956
3	1509  7.5191	1542  7.6835	1549  7.7184	1577  7.8579	50476652542  7.9489
4	2134 10.6333	2125 10.5885	2100 10.4639	2067 10.2995	66372975438 10.4522
5	2573 12.8208	2568 12.7959	2390 11.9089	2378 11.8491	77821925315 12.2552
6	2648 13.1945	2613 13.0201	2571 12.8108	2614 13.0251	82551854345 13.0000
7	2568 12.7959	2567 12.7909	2636 13.1347	2623 13.0699	80760822737 12.7180
8	2246 11.1914	2262 11.2711	2422 12.0684	2425 12.0833	73465633954 11.5691
9	1875  9.3428	1879  9.3627	1919  9.5620	1910  9.5172	60489162482  9.5256
10	1373  6.8414	1370  6.8264	1343  6.6919	1362  6.7866	43661750688  6.8757
11	790  3.9364	803  4.0012	801  3.9912	795  3.9613	26377787548  4.1539
12	382  1.9034	376  1.8735	430  2.1426	419  2.0878	12128527136  1.9100
13	109  0.5431	106  0.5282	127  0.6328	125  0.6229	3317304159  0.5224
U = 14	20069  6.2634	20069  6.2626	20069  6.3357	20069  6.3336	635013559600  6.2957

Top     Main

Longest fit = lf

Value	North	South	West	East	Theoretical
7	3145 15.6709	3145 15.6709	3177 15.8304	3177 15.8304	13006498437504 15.7363
8	9173 45.7073	9173 45.7073	9225 45.9664	9225 45.9664	37809373653909 45.7447
9	5674 28.2725	5674 28.2725	5670 28.2525	5670 28.2525	23225440992325 28.0999
10	1749  8.7149	1749  8.7149	1645  8.1967	1645  8.1967	7168401039800  8.6729
11	299  1.4899	299  1.4899	308  1.5347	308  1.5347	1307227435020  1.5816
12	27  0.1345	27  0.1345	44  0.2192	44  0.2192	130732315831  0.1582
13	2  0.0100	2  0.0100	0	0	5414950295  0.0066
U = 7	20069  8.3509	20069  8.3509	20069  8.3430	20069  8.3430	82653088824684  8.3512

Top     Main

Longest fit make = lm

Value	North	South	West	East	Empirical
0	2  0.0100	2  0.0100	1  0.0050	1  0.0050	22876394  0.0036
1	6  0.0299	8  0.0399	7  0.0349	8  0.0399	251246691  0.0396
2	55  0.2741	51  0.2541	45  0.2242	46  0.2292	1556124656  0.2451
3	188  0.9368	191  0.9517	175  0.8720	174  0.8670	5892722789  0.9280
4	501  2.4964	508  2.5313	523  2.6060	518  2.5811	16409883547  2.5842
5	1181  5.8847	1181  5.8847	1193  5.9445	1186  5.9096	35643298455  5.6130
6	1954  9.7364	1915  9.5421	1916  9.5471	1922  9.5770	62031256233  9.7685
7	2892 14.4103	2915 14.5249	2790 13.9020	2811 14.0067	89999744190 14.1729
8	3525 17.5644	3519 17.5345	3464 17.2605	3446 17.1708	110099842849 17.3382
9	3495 17.4149	3508 17.4797	3628 18.0776	3626 18.0677	113173167471 17.8222
10	3042 15.1577	3044 15.1677	2970 14.7989	2981 14.8538	95919764225 15.1052
11	1966  9.7962	1972  9.8261	2015 10.0404	2015 10.0404	64150449024 10.1022
12	993  4.9479	983  4.8981	1029  5.1273	1024  5.1024	31112561346  4.8995
13	269  1.3404	272  1.3553	313  1.5596	311  1.5497	8750621730  1.3780
U = 14	20069  8.3547	20069  8.3563	20069  8.3886	20069  8.3881	635013559600  8.3753

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Best fit = bf

Value	North	South	West	East	Empirical
5	0	0	2  0.0100	2  0.0100	10461673  0.0016
6	40  0.1993	35  0.1744	41  0.2043	43  0.2143	1222077835  0.1924
7	3314 16.5130	3318 16.5330	3331 16.5977	3332 16.6027	105351212255 16.5904
8	9094 45.3137	9094 45.3137	9141 45.5479	9137 45.5279	287234089436 45.2327
9	5553 27.6695	5557 27.6895	5576 27.7841	5577 27.7891	175437245133 27.6273
10	1742  8.6801	1739  8.6651	1629  8.1170	1629  8.1170	54701014789  8.6141
11	297  1.4799	297  1.4799	305  1.5198	305  1.5198	10008187498  1.5761
12	27  0.1345	27  0.1345	44  0.2192	44  0.2192	1006364496  0.1585
13	2  0.0100	2  0.0100	0	0	42906485  0.0068
U = 9	20069  8.3315	20069  8.3317	20069  8.3242	20069  8.3240	635013559600  8.3327

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Best fit make = bm

Value	North	South	West	East	Empirical
0	1  0.0050	1  0.0050	0	0	1513990  0.0002
1	4  0.0199	5  0.0249	5  0.0249	5  0.0249	132231913  0.0208
2	51  0.2541	47  0.2342	39  0.1943	39  0.1943	1339624042  0.2110
3	178  0.8869	182  0.9069	170  0.8471	171  0.8521	5671089748  0.8931
4	488  2.4316	492  2.4515	512  2.5512	504  2.5113	16177592015  2.5476
5	1173  5.8448	1178  5.8697	1187  5.9146	1185  5.9046	35415185536  5.5771
6	1945  9.6916	1909  9.5122	1894  9.4374	1899  9.4624	61775936908  9.7283
7	2883 14.3654	2907 14.4850	2783 13.8672	2807 13.9867	89711329037 14.1275
8	3518 17.5295	3500 17.4398	3473 17.3053	3450 17.1907	109962826727 17.3166
9	3516 17.5196	3531 17.5943	3626 18.0677	3620 18.0378	113305081446 17.8429
10	3043 15.1627	3051 15.2026	2988 14.8886	3003 14.9634	96187452851 15.1473
11	1969  9.8112	1973  9.8311	2016 10.0453	2019 10.0603	64547826059 10.1648
12	1022  5.0924	1013  5.0476	1057  5.2668	1048  5.2220	31646530587  4.9836
13	278  1.3852	280  1.3952	319  1.5895	319  1.5895	9139338741  1.4392
U = 14	20069  8.3743	20069  8.3758	20069  8.4073	20069  8.4071	635013559600  8.3938

Top     Main

Highest make = H

Value	North	South	West	East	Empirical
0 —	1  0.0050	1  0.0050	0	0	1513990  0.0002
1  1	0	0	0	0	4027214  0.0006
2  1	0	1  0.0050	1  0.0050	1  0.0050	11612306  0.0018
3  1	1  0.0050	1  0.0050	1  0.0050	1  0.0050	25874094  0.0041
4  1	2  0.0100	2  0.0100	2  0.0100	2  0.0100	53231899  0.0084
5 N 1	1  0.0050	1  0.0050	1  0.0050	1  0.0050	36956503  0.0058
6  2	3  0.0149	3  0.0149	6  0.0299	7  0.0349	120316810  0.0189
7  2	7  0.0349	6  0.0299	9  0.0448	8  0.0399	198635528  0.0313
8  2	14  0.0698	14  0.0698	10  0.0498	11  0.0548	326628269  0.0514
9  2	20  0.0997	18  0.0897	10  0.0498	9  0.0448	500918833  0.0789
10 N 2	6  0.0299	5  0.0249	4  0.0199	4  0.0199	185145875  0.0292
11  3	20  0.0997	20  0.0997	16  0.0797	18  0.0897	708986520  0.1116
12  3	34  0.1694	38  0.1893	38  0.1893	37  0.1844	998658286  0.1573
13  3	47  0.2342	45  0.2242	41  0.2043	41  0.2043	1395338886  0.2197
14  3	58  0.2890	59  0.2940	57  0.2840	57  0.2840	1910125869  0.3008
15 N 3	19  0.0947	19  0.0947	18  0.0897	18  0.0897	600509115  0.0946
16  4	85  0.4235	86  0.4285	64  0.3189	62  0.3089	2289229042  0.3605
17  4	82  0.4086	79  0.3936	106  0.5282	106  0.5282	2994612265  0.4716
18  4	116  0.5780	115  0.5730	122  0.6079	119  0.5930	3903975403  0.6148
19  4	151  0.7524	159  0.7923	155  0.7723	155  0.7723	5081012026  0.8001
20 N 4	50  0.2491	51  0.2541	52  0.2591	53  0.2641	1713322270  0.2698
21  5	217  1.0813	214  1.0663	167  0.8321	165  0.8222	5390835002  0.8489
22  5	239  1.1909	240  1.1959	235  1.1710	233  1.1610	6765583620  1.0654
23  5	299  1.4899	299  1.4899	280  1.3952	290  1.4450	8498769442  1.3384
24  5	297  1.4799	300  1.4948	353  1.7589	352  1.7539	10602398413  1.6696
25 N 5	108  0.5381	110  0.5481	151  0.7524	140  0.6976	3790350430  0.5969
26  6	314  1.5646	312  1.5546	297  1.4799	303  1.5098	9966643603  1.5695
27  6	393  1.9582	391  1.9483	340  1.6942	345  1.7191	12109712021  1.9070
28  6	453  2.2572	443  2.2074	475  2.3668	471  2.3469	14729112069  2.3195
29  6	565  2.8153	556  2.7704	578  2.8801	578  2.8801	17910202521  2.8204
30 N 6	195  0.9716	179  0.8919	191  0.9517	189  0.9418	6534760658  1.0291
31  7	488  2.4316	492  2.4515	510  2.5412	515  2.5661	15075437352  2.3740
32  7	600  2.9897	599  2.9847	576  2.8701	574  2.8601	17958650211  2.8281
33  7	644  3.2089	656  3.2687	649  3.2338	650  3.2388	21361994439  3.3640
34  7	811  4.0411	817  4.0710	771  3.8417	785  3.9115	25528480621  4.0201
35 N 7	311  1.5497	323  1.6094	259  1.2905	261  1.3005	9154206125  1.4416
36  8	580  2.8900	582  2.9000	623  3.1043	623  3.1043	18791511418  2.9592
37  8	692  3.4481	706  3.5179	655  3.2637	653  3.2538	22088800625  3.4785
38  8	855  4.2603	847  4.2204	854  4.2553	841  4.1905	26002102208  4.0947
39  8	970  4.8333	951  4.7387	938  4.6739	950  4.7337	30496109913  4.8024
40 N 8	420  2.0928	412  2.0529	371  1.8486	364  1.8137	12173466153  1.9170
41  9	625  3.1143	623  3.1043	592  2.9498	589  2.9349	19155398988  3.0165
42  9	656  3.2687	679  3.3833	739  3.6823	729  3.6325	22679953280  3.5716
43  9	825  4.1108	815  4.0610	872  4.3450	877  4.3699	26645003052  4.1960
44  9	951  4.7387	963  4.7984	979  4.8782	970  4.8333	31116921638  4.9002
45 N 9	449  2.2373	447  2.2273	454  2.2622	456  2.2722	13776418529  2.1695
46  10	510  2.5412	512  2.5512	476  2.3718	487  2.4266	15678126613  2.4689
47  10	578  2.8801	573  2.8551	596  2.9698	613  3.0545	18845651711  2.9678
48  10	676  3.3684	680  3.3883	693  3.4531	698  3.4780	22346330376  3.5190
49  10	879  4.3799	863  4.3002	789  3.9314	791  3.9414	26213758053  4.1281
50 N 10	443  2.2074	451  2.2472	455  2.2672	436  2.1725	13730953401  2.1623
51  11	275  1.3703	276  1.3753	272  1.3553	256  1.2756	9697289588  1.5271
52  11	372  1.8536	367  1.8287	336  1.6742	338  1.6842	11914043914  1.8762
53  11	445  2.2174	448  2.2323	469  2.3369	475  2.3668	14305376462  2.2528
54  11	534  2.6608	541  2.6957	567  2.8253	578  2.8801	16882127404  2.6585
55 N 11	366  1.8237	370  1.8436	403  2.0081	399  1.9881	12637216524  1.9901
56  12	126  0.6278	125  0.6229	145  0.7225	143  0.7125	4042066459  0.6365
57  12	155  0.7723	155  0.7723	162  0.8072	172  0.8570	4996576787  0.7868
58  12	190  0.9467	193  0.9617	188  0.9368	193  0.9617	6084938998  0.9582
59  12	241  1.2009	239  1.1909	220  1.0962	218  1.0863	7241748711  1.1404
60 N 12	323  1.6094	315  1.5696	351  1.7490	336  1.6742	9797000990  1.5428
61  13	29  0.1445	26  0.1296	41  0.2043	40  0.1993	950467974  0.1497
62  13	25  0.1246	28  0.1395	35  0.1744	34  0.1694	1125576093  0.1773
63  13	36  0.1794	38  0.1893	44  0.2192	44  0.2192	1297292873  0.2043
64  13	45  0.2242	45  0.2242	50  0.2491	50  0.2491	1491113912  0.2348
65 N 13	147  0.7325	145  0.7225	155  0.7723	155  0.7723	4372449423  0.6886
U = 66	20069 40.0013	20069 40.0032	20069 40.1612	20069 40.1533	635013559600 40.0915

Top     Main

On-lead highest make = O

Value	North	South	West	East	Empirical
0 —	1  0.0050	1  0.0050	0	0	1241472  0.0002
1  1	0	0	0	0	3239939  0.0005
2  1	0	0	1  0.0050	1  0.0050	9447300  0.0015
3  1	1  0.0050	1  0.0050	1  0.0050	1  0.0050	21574362  0.0034
4  1	2  0.0100	2  0.0100	1  0.0050	1  0.0050	42527988  0.0067
5 N 1	1  0.0050	0	2  0.0100	2  0.0100	26388851  0.0042
6  2	3  0.0149	2  0.0100	3  0.0149	3  0.0149	84995416  0.0134
7  2	5  0.0249	6  0.0299	6  0.0299	6  0.0299	142224249  0.0224
8  2	7  0.0349	6  0.0299	9  0.0448	8  0.0399	231292299  0.0364
9  2	14  0.0698	16  0.0797	9  0.0448	10  0.0498	363266834  0.0572
10 N 2	5  0.0249	4  0.0199	3  0.0149	3  0.0149	127432564  0.0201
11  3	14  0.0698	15  0.0747	13  0.0648	13  0.0648	493076363  0.0776
12  3	25  0.1246	26  0.1296	22  0.1096	19  0.0947	693513539  0.1092
13  3	35  0.1744	38  0.1893	25  0.1246	27  0.1345	1000823292  0.1576
14  3	51  0.2541	43  0.2143	37  0.1844	43  0.2143	1395369165  0.2197
15 N 3	13  0.0648	16  0.0797	10  0.0498	11  0.0548	517057969  0.0814
16  4	54  0.2691	52  0.2591	48  0.2392	46  0.2292	1644254032  0.2589
17  4	72  0.3588	67  0.3338	75  0.3737	78  0.3887	2174377737  0.3424
18  4	95  0.4734	96  0.4783	93  0.4634	94  0.4684	2890268054  0.4552
19  4	112  0.5581	106  0.5282	131  0.6527	122  0.6079	3825111648  0.6024
20 N 4	49  0.2442	48  0.2392	42  0.2093	47  0.2342	1603391433  0.2525
21  5	148  0.7375	153  0.7624	119  0.5930	112  0.5581	3998705776  0.6297
22  5	156  0.7773	162  0.8072	172  0.8570	165  0.8222	5059967561  0.7968
23  5	203  1.0115	206  1.0265	202  1.0065	197  0.9816	6444920473  1.0149
24  5	251  1.2507	253  1.2607	274  1.3653	266  1.3254	8171172220  1.2868
25 N 5	125  0.6229	128  0.6378	133  0.6627	137  0.6826	3680646693  0.5796
26  6	270  1.3454	263  1.3105	240  1.1959	243  1.2108	7757580348  1.2216
27  6	309  1.5397	301  1.4998	278  1.3852	282  1.4052	9525027771  1.5000
28  6	395  1.9682	407  2.0280	397  1.9782	399  1.9881	11764658491  1.8527
29  6	427  2.1277	430  2.1426	474  2.3619	469  2.3369	14509280677  2.2849
30 N 6	193  0.9617	206  1.0265	169  0.8421	176  0.8770	6740920718  1.0615
31  7	384  1.9134	395  1.9682	409  2.0380	415  2.0679	12379732192  1.9495
32  7	488  2.4316	482  2.4017	448  2.2323	449  2.2373	14970987161  2.3576
33  7	535  2.6658	535  2.6658	576  2.8701	583  2.9050	18071185110  2.8458
34  7	687  3.4232	673  3.3534	694  3.4581	700  3.4880	21830271641  3.4378
35 N 7	353  1.7589	355  1.7689	350  1.7440	347  1.7290	11424585988  1.7991
36  8	527  2.6259	515  2.5661	547  2.7256	546  2.7206	16339498138  2.5731
37  8	629  3.1342	638  3.1790	581  2.8950	583  2.9050	19709383181  3.1038
38  8	781  3.8916	770  3.8368	775  3.8617	772  3.8467	23605758352  3.7174
39  8	917  4.5692	915  4.5593	869  4.3301	863  4.3002	28085928185  4.4229
40 N 8	546  2.7206	554  2.7605	484  2.4117	498  2.4814	16270929517  2.5623
41  9	561  2.7954	551  2.7455	515  2.5661	515  2.5661	17610462720  2.7732
42  9	666  3.3186	669  3.3335	708  3.5278	690  3.4381	21330730539  3.3591
43  9	813  4.0510	805  4.0112	866  4.3151	858  4.2753	25409571822  4.0014
44  9	929  4.6290	942  4.6938	941  4.6888	947  4.7187	30048695498  4.7320
45 N 9	636  3.1691	643  3.2039	652  3.2488	651  3.2438	20125215758  3.1693
46  10	449  2.2373	456  2.2722	469  2.3369	467  2.3270	15180947336  2.3906
47  10	583  2.9050	581  2.8950	594  2.9598	588  2.9299	18360372398  2.8913
48  10	686  3.4182	678  3.3783	704  3.5079	698  3.4780	21797024413  3.4325
49  10	803  4.0012	787  3.9215	741  3.6923	736  3.6673	25500986557  4.0158
50 N 10	707  3.5228	724  3.6076	746  3.7172	746  3.7172	22971290435  3.6174
51  11	322  1.6045	323  1.6094	309  1.5397	316  1.5746	10149896990  1.5984
52  11	368  1.8337	373  1.8586	366  1.8237	360  1.7938	12077115810  1.9019
53  11	432  2.1526	433  2.1576	447  2.2273	449  2.2373	14119413033  2.2235
54  11	499  2.4864	500  2.4914	499  2.4864	519  2.5861	16390731570  2.5812
55 N 11	720  3.5876	718  3.5777	727  3.6225	714  3.5577	22941283147  3.6127
56  12	161  0.8022	154  0.7674	173  0.8620	185  0.9218	5500720419  0.8662
57  12	222  1.1062	214  1.0663	190  0.9467	189  0.9418	6227026988  0.9806
58  12	229  1.1411	216  1.0763	211  1.0514	206  1.0265	7033151127  1.1076
59  12	254  1.2656	265  1.3204	244  1.2158	248  1.2357	7852931458  1.2367
60 N 12	568  2.8302	580  2.8900	602  2.9997	614  3.0594	17849476370  2.8109
61  13	59  0.2940	57  0.2840	82  0.4086	74  0.3687	2037906651  0.3209
62  13	55  0.2741	54  0.2691	80  0.3986	84  0.4186	2187019556  0.3444
63  13	70  0.3488	67  0.3338	70  0.3488	73  0.3637	2314542960  0.3645
64  13	80  0.3986	78  0.3887	67  0.3338	59  0.2940	2451437963  0.3860
65 N 13	314  1.5646	315  1.5696	344  1.7141	346  1.7241	9913593383  1.5612
U = 66	20069 41.9287	20069 41.9227	20069 42.0751	20069 42.0866	635013559600 42.0216

Top     Main

Best scoring make = B

Value	North	South	West	East	Empirical
0 —	3797 18.9197	3767 18.7702	3780 18.8350	3776 18.8151	119358998783 18.7963
1 1	488  2.4316	492  2.4515	510  2.5412	515  2.5661	15075437352  2.3740
2 1	600  2.9897	599  2.9847	576  2.8701	574  2.8601	17958650211  2.8281
3 1	644  3.2089	656  3.2687	649  3.2338	650  3.2388	21361994439  3.3640
4 1	811  4.0411	817  4.0710	771  3.8417	785  3.9115	25528480621  4.0201
5 1 N	311  1.5497	323  1.6094	259  1.2905	261  1.3005	9154206126  1.4416
6 2	580  2.8900	582  2.9000	623  3.1043	623  3.1043	18791511418  2.9592
7 2	692  3.4481	706  3.5179	655  3.2637	653  3.2538	22088800625  3.4785
8 2	855  4.2603	847  4.2204	854  4.2553	841  4.1905	26002102208  4.0947
9 2	970  4.8333	951  4.7387	938  4.6739	950  4.7337	30496109913  4.8024
10 3	483  2.4067	484  2.4117	468  2.3320	465  2.3170	15168880833  2.3887
11 3	508  2.5313	520  2.5911	579  2.8850	568  2.8302	17647767441  2.7791
12 2 N	710  3.5378	710  3.5378	655  3.2637	649  3.2338	21192170146  3.3373
13 4	273  1.3603	273  1.3603	275  1.3703	279  1.3902	8352078922  1.3153
14 4	292  1.4550	300  1.4948	328  1.6344	343  1.7091	10306791805  1.6231
15 3	954  4.7536	944  4.7038	985  4.9081	994  4.9529	30412174290  4.7892
16 3	1083  5.3964	1082  5.3914	1094  5.4512	1091  5.4362	35369266210  5.5698
17 3 N	711  3.5428	711  3.5428	695  3.4631	696  3.4680	21621810315  3.4049
18 5	134  0.6677	140  0.6976	136  0.6777	135  0.6727	4918954504  0.7746
19 5	199  0.9916	203  1.0115	172  0.8570	177  0.8820	6307419874  0.9933
20 4	746  3.7172	745  3.7122	768  3.8268	764  3.8069	24619813919  3.8771
21 4	965  4.8084	950  4.7337	854  4.2553	855  4.2603	28756868129  4.5285
22 4 N	601  2.9947	599  2.9847	615  3.0644	588  2.9299	19299318906  3.0392
23 5	445  2.2174	448  2.2323	469  2.3369	475  2.3668	14305376462  2.2528
24 5	534  2.6608	541  2.6957	567  2.8253	578  2.8801	16882127404  2.6585
25 5 N	366  1.8237	370  1.8436	403  2.0081	399  1.9881	12637216524  1.9901
26 6	126  0.6278	125  0.6229	145  0.7225	143  0.7125	4042066459  0.6365
27 6	155  0.7723	155  0.7723	162  0.8072	172  0.8570	4996576787  0.7868
28 6	190  0.9467	193  0.9617	188  0.9368	193  0.9617	6084938998  0.9582
29 6	241  1.2009	239  1.1909	220  1.0962	218  1.0863	7241748711  1.1404
30 6 N	323  1.6094	315  1.5696	351  1.7490	336  1.6742	9797000990  1.5428
31 7	29  0.1445	26  0.1296	41  0.2043	40  0.1993	950467974  0.1497
32 7	25  0.1246	28  0.1395	35  0.1744	34  0.1694	1125576093  0.1773
33 7	36  0.1794	38  0.1893	44  0.2192	44  0.2192	1297292873  0.2043
34 7	45  0.2242	45  0.2242	50  0.2491	50  0.2491	1491113912  0.2348
35 7 N	147  0.7325	145  0.7225	155  0.7723	155  0.7723	4372449423  0.6886
U = 36	20069 11.3825	20069 11.3818	20069 11.5128	20069 11.4987	635013559600 11.4347

Top     Main

Par None vul

Score	North-South Plus	West-East Plus	Absolute Times
0 0	0	0	0
1 70	1  0.0100	1  0.0100	2  0.0100
2 80	24  0.2393	20  0.1992	44  0.2192
3 90	312  3.1107	276  2.7493	588  2.9299
4 100	1609 16.0419	1575 15.6888	3184 15.8653
5 110	435  4.3370	454  4.5224	889  4.4297
6 120	427  4.2572	398  3.9645	825  4.1108
7 130	391  3.8983	397  3.9546	788  3.9265
8 140	1073 10.6979	1114 11.0967	2187 10.8974
10 300	549  5.4736	512  5.1001	1061  5.2868
11 400	846  8.4347	786  7.8295	1632  8.1319
12 420	1119 11.1565	1100 10.9573	2219 11.0569
13 430	603  6.0120	602  5.9966	1205  6.0043
14 450	903  9.0030	959  9.5527	1862  9.2780
15 460	394  3.9282	418  4.1638	812  4.0460
16 500	45  0.4487	46  0.4582	91  0.4534
22 800	99  0.9870	90  0.8965	189  0.9418
23 920	224  2.2333	250  2.4903	474  2.3619
24 980	354  3.5294	351  3.4964	705  3.5129
25 990	344  3.4297	369  3.6757	713  3.5527
26 1100	6  0.0598	11  0.1096	17  0.0847
28 1400	6  0.0598	12  0.1195	18  0.0897
30 1440	41  0.4088	59  0.5877	100  0.4983
31 1510	78  0.7777	84  0.8367	162  0.8072
32 1520	147  1.4656	155  1.5440	302  1.5048
U = 25	10030 11.1581	10039 11.3634	20069 11.2608

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Par N-S vul

Score	North-South Plus	West-East Plus	Absolute Times
0 0	0	0	0
1 70	1  0.0100	1  0.0100	2  0.0100
2 80	24  0.2393	20  0.1992	44  0.2192
3 90	312  3.1107	276  2.7493	588  2.9299
4 100	1609 16.0419	0	1609  8.0173
5 110	435  4.3370	1053 10.4891	1488  7.4144
6 120	427  4.2572	545  5.4288	972  4.8433
7 130	391  3.8983	502  5.0005	893  4.4496
8 140	1073 10.6979	1586 15.7984	2659 13.2493
9 200	0	252  2.5102	252  1.2557
10 300	549  5.4736	0	549  2.7356
11 400	0	933  9.2938	933  4.6490
12 420	0	1364 13.5870	1364  6.7966
13 430	0	631  6.2855	631  3.1442
14 450	0	1014 10.1006	1014  5.0526
15 460	0	422  4.2036	422  2.1027
16 500	878  8.7537	13  0.1295	891  4.4397
17 600	609  6.0718	0	609  3.0345
18 620	721  7.1884	0	721  3.5926
19 630	536  5.3440	0	536  2.6708
20 650	780  7.7767	0	780  3.8866
21 660	386  3.8485	0	386  1.9234
22 800	99  0.9870	46  0.4582	145  0.7225
23 920	0	291  2.8987	291  1.4500
24 980	0	389  3.8749	389  1.9383
25 990	0	375  3.7354	375  1.8686
26 1100	154  1.5354	5  0.0498	159  0.7923
27 1370	165  1.6451	0	165  0.8222
28 1400	141  1.4058	11  0.1096	152  0.7574
29 1430	178  1.7747	0	178  0.8869
30 1440	296  2.9511	65  0.6475	361  1.7988
31 1510	0	90  0.8965	90  0.4485
32 1520	0	155  1.5440	155  0.7723
33 1700	15  0.1496	0	15  0.0747
34 2000	14  0.1396	0	14  0.0698
35 2140	21  0.2094	0	21  0.1046
36 2210	69  0.6879	0	69  0.3438
37 2220	147  1.4656	0	147  0.7325
U = 38	10030 13.8080	10039 11.9530	20069 12.8801

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Par E-W vul

Score	North-South Plus	West-East Plus	Absolute Times
0 0	0	0	0
1 70	1  0.0100	1  0.0100	2  0.0100
2 80	24  0.2393	20  0.1992	44  0.2192
3 90	312  3.1107	276  2.7493	588  2.9299
4 100	0	1575 15.6888	1575  7.8479
5 110	1066 10.6281	454  4.5224	1520  7.5739
6 120	602  6.0020	398  3.9645	1000  4.9828
7 130	475  4.7358	397  3.9546	872  4.3450
8 140	1521 15.1645	1114 11.0967	2635 13.1297
9 200	271  2.7019	0	271  1.3503
10 300	0	512  5.1001	512  2.5512
11 400	999  9.9601	0	999  4.9778
12 420	1414 14.0977	0	1414  7.0457
13 430	628  6.2612	0	628  3.1292
14 450	962  9.5912	0	962  4.7935
15 460	397  3.9581	0	397  1.9782
16 500	14  0.1396	879  8.7559	893  4.4496
17 600	0	520  5.1798	520  2.5911
18 620	0	737  7.3414	737  3.6723
19 630	0	546  5.4388	546  2.7206
20 650	0	823  8.1980	823  4.1009
21 660	0	406  4.0442	406  2.0230
22 800	45  0.4487	90  0.8965	135  0.6727
23 920	260  2.5922	0	260  1.2955
24 980	407  4.0578	0	407  2.0280
25 990	349  3.4796	0	349  1.7390
26 1100	5  0.0499	161  1.6037	166  0.8271
27 1370	0	187  1.8627	187  0.9318
28 1400	6  0.0598	136  1.3547	142  0.7076
29 1430	0	203  2.0221	203  1.0115
30 1440	46  0.4586	306  3.0481	352  1.7539
31 1510	79  0.7876	0	79  0.3936
32 1520	147  1.4656	0	147  0.7325
33 1700	0	20  0.1992	20  0.0997
34 2000	0	16  0.1594	16  0.0797
35 2140	0	30  0.2988	30  0.1495
36 2210	0	77  0.7670	77  0.3837
37 2220	0	155  1.5440	155  0.7723
U = 38	10030 11.7568	10039 14.0471	20069 12.9025

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Par Both vul

Score	North-South Plus	West-East Plus	Absolute Times
0 0	0	0	0
1 70	1  0.0100	1  0.0100	2  0.0100
2 80	24  0.2393	20  0.1992	44  0.2192
3 90	312  3.1107	276  2.7493	588  2.9299
5 110	1066 10.6281	1053 10.4891	2119 10.5586
6 120	602  6.0020	545  5.4288	1147  5.7153
7 130	475  4.7358	502  5.0005	977  4.8682
8 140	1521 15.1645	1586 15.7984	3107 15.4816
9 200	271  2.7019	252  2.5102	523  2.6060
16 500	549  5.4736	512  5.1001	1061  5.2868
17 600	846  8.4347	786  7.8295	1632  8.1319
18 620	1119 11.1565	1100 10.9573	2219 11.0569
19 630	603  6.0120	602  5.9966	1205  6.0043
20 650	903  9.0030	959  9.5527	1862  9.2780
21 660	394  3.9282	418  4.1638	812  4.0460
22 800	45  0.4487	46  0.4582	91  0.4534
26 1100	99  0.9870	90  0.8965	189  0.9418
27 1370	224  2.2333	250  2.4903	474  2.3619
28 1400	95  0.9472	98  0.9762	193  0.9617
29 1430	279  2.7817	283  2.8190	562  2.8003
30 1440	330  3.2901	350  3.4864	680  3.3883
33 1700	6  0.0598	12  0.1195	18  0.0897
34 2000	15  0.1496	20  0.1992	35  0.1744
35 2140	29  0.2891	42  0.4184	71  0.3538
36 2210	75  0.7478	81  0.8069	156  0.7773
37 2220	147  1.4656	155  1.5440	302  1.5048
U = 26	10030 14.8637	10039 15.0786	20069 14.9712

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LoTT 14 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
12	6  0.2864	4  0.1909	1  0.0477	0
13	225 10.7399	182  8.6874	198  9.4511	151  7.2076
14	1030 49.1647	986 47.0644	1041 49.6897	1005 47.9714
15	698 33.3174	761 36.3246	716 34.1766	772 36.8496
16	125  5.9666	149  7.1122	127  6.0621	153  7.3031
17	9  0.4296	11  0.5251	10  0.4773	12  0.5728
18	1  0.0477	1  0.0477	1  0.0477	1  0.0477
19	0	0	0	0
20	1  0.0477	1  0.0477	1  0.0477	1  0.0477
U = 9	2095 14.3570	2095 14.4353	2095 14.3866	2095 14.4644

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LoTT 15 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
12	2  0.0938	2  0.0938	0	0
13	21  0.9850	18  0.8443	18  0.8443	13  0.6098
14	323 15.1501	278 13.0394	328 15.3846	281 13.1801
15	1026 48.1238	1006 47.1857	1022 47.9362	1010 47.3734
16	644 30.2064	699 32.7861	647 30.3471	698 32.7392
17	104  4.8780	117  5.4878	105  4.9250	118  5.5347
18	12  0.5629	12  0.5629	12  0.5629	12  0.5629
U = 7	2132 15.2425	2132 15.3044	2132 15.2481	2132 15.3110

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LoTT 16 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
11	1  0.0186	1  0.0186	0	0
12	3  0.0557	3  0.0557	0	0
13	26  0.4824	23  0.4267	8  0.1484	6  0.1113
14	219  4.0631	186  3.4508	165  3.0612	127  2.3562
15	1141 21.1688	1056 19.5918	1114 20.6679	1028 19.0724
16	2267 42.0594	2271 42.1336	2334 43.3024	2328 43.1911
17	1357 25.1763	1430 26.5306	1384 25.6772	1469 27.2542
18	317  5.8813	354  6.5677	323  5.9926	365  6.7718
19	52  0.9647	57  1.0575	56  1.0390	58  1.0761
20	6  0.1113	8  0.1484	5  0.0928	8  0.1484
21	0	0	0	0
22	1  0.0186	1  0.0186	1  0.0186	1  0.0186
U = 12	5390 16.0933	5390 16.1545	5390 16.1403	5390 16.2061

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LoTT 17 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
10	1  0.0215	1  0.0215	0	0
11	0	0	0	0
12	0	0	0	0
13	4  0.0858	3  0.0644	1  0.0215	1  0.0215
14	23  0.4935	18  0.3862	13  0.2789	9  0.1931
15	226  4.8487	196  4.2051	202  4.3338	175  3.7546
16	1056 22.6561	996 21.3688	1048 22.4844	971 20.8324
17	1792 38.4467	1799 38.5969	1818 39.0045	1825 39.1547
18	1218 26.1317	1278 27.4190	1239 26.5823	1302 27.9339
19	303  6.5008	327  7.0157	299  6.4149	333  7.1444
20	38  0.8153	43  0.9225	41  0.8796	45  0.9655
U = 11	4661 17.0725	4661 17.1287	4661 17.0998	4661 17.1611

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LoTT 18 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
14	2  0.0641	2  0.0641	1  0.0321	1  0.0321
15	20  0.6410	17  0.5449	16  0.5128	14  0.4487
16	221  7.0833	203  6.5064	199  6.3782	184  5.8974
17	775 24.8397	738 23.6538	763 24.4551	713 22.8526
18	1128 36.1538	1130 36.2179	1125 36.0577	1140 36.5385
19	708 22.6923	734 23.5256	742 23.7821	754 24.1667
20	219  7.0192	241  7.7244	223  7.1474	258  8.2692
21	42  1.3462	48  1.5385	45  1.4423	47  1.5064
22	4  0.1282	6  0.1923	5  0.1603	8  0.2564
23	1  0.0321	1  0.0321	1  0.0321	1  0.0321
U = 10	3120 18.0026	3120 18.0596	3120 18.0433	3120 18.1029

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LoTT 19 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
16	30  1.7503	22  1.2835	28  1.6336	20  1.1669
17	208 12.1354	200 11.6686	180 10.5018	174 10.1517
18	478 27.8880	466 27.1879	487 28.4131	469 27.3629
19	565 32.9638	564 32.9055	553 32.2637	564 32.9055
20	321 18.7281	343 20.0117	349 20.3617	362 21.1202
21	95  5.5426	97  5.6593	98  5.7176	102  5.9510
22	16  0.9335	21  1.2252	18  1.0502	22  1.2835
23	1  0.0583	1  0.0583	1  0.0583	1  0.0583
U = 8	1714 18.7544	1714 18.8086	1714 18.8086	1714 18.8594

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LoTT 20 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
17	27  4.0724	26  3.9216	22  3.3183	20  3.0166
18	104 15.6863	102 15.3846	93 14.0271	92 13.8763
19	212 31.9759	202 30.4676	220 33.1825	210 31.6742
20	197 29.7134	202 30.4676	198 29.8643	201 30.3167
21	93 14.0271	94 14.1780	96 14.4796	101 15.2338
22	25  3.7707	29  4.3741	29  4.3741	30  4.5249
23	5  0.7541	8  1.2066	5  0.7541	9  1.3575
U = 7	663 19.4827	663 19.5354	663 19.5430	663 19.5988

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LoTT 21 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
17	1  0.4545	0	0	0
18	17  7.7273	17  7.7273	15  6.8182	15  6.8182
19	44 20.0000	44 20.0000	45 20.4545	43 19.5455
20	79 35.9091	76 34.5455	78 35.4545	75 34.0909
21	48 21.8182	49 22.2727	50 22.7273	52 23.6364
22	26 11.8182	28 12.7273	25 11.3636	27 12.2727
23	5  2.2727	6  2.7273	6  2.7273	7  3.1818
24	0	0	1  0.4545	1  0.4545
U = 8	220 20.1545	220 20.2045	220 20.2136	220 20.2636

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LoTT 22 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
18	3  4.5455	3  4.5455	2  3.0303	2  3.0303
19	9 13.6364	9 13.6364	10 15.1515	10 15.1515
20	18 27.2727	16 24.2424	18 27.2727	15 22.7273
21	20 30.3030	22 33.3333	19 28.7879	22 33.3333
22	7 10.6061	7 10.6061	8 12.1212	8 12.1212
23	5  7.5758	5  7.5758	5  7.5758	5  7.5758
24	4  6.0606	3  4.5455	4  6.0606	3  4.5455
25	0	1  1.5152	0	1  1.5152
U = 8	66 20.7576	66 20.8030	66 20.7879	66 20.8485

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LoTT 23 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
20	2 25.0000	1 12.5000	2 25.0000	1 12.5000
21	3 37.5000	3 37.5000	2 25.0000	3 37.5000
22	2 25.0000	3 37.5000	3 37.5000	2 25.0000
23	0	0	0	1 12.5000
24	1 12.5000	1 12.5000	1 12.5000	1 12.5000
U = 5	8 21.3750	8 21.6250	8 21.5000	8 21.7500

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LoTT 24 trumps

No data available

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LoTT 25 trumps

No data available

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© 2020 Richard Pavlicek