Study 7Z80 Main

# HCP and Controls

by Richard Pavlicek

Every bridge player is familiar with HCP and most are familiar with controls (ace = 2, king = 1). The 88 tables in this study show the correlation between the two; more specifically, the control range and average for each number of HCP, and the HCP range and average for each number of controls. Further, all statistics are broken down by shape (hand pattern) because of its significant influence. Click on a shape to jump to it:

The general relationship between HCP and controls is obvious: For 10 HCP composed of an ace, king, queen and jack, there are 3 controls, so the average controls-to-HCP ratio is 3:10, but this varies considerably with each hand’s high-card makeup. A hand with a higher ratio is often described as “control rich” — not to be confused with attempts to stop my son from overbidding — while a lower ratio is often called “junky.” Experts are well aware that an abundance of controls suggests being aggressive, and a deficiency suggests being conservative.

## Any Shape

The 635,013,559,600 possible bridge hands as a whole, comprising 39 generic shapes, or 560 specific shapes.

Controls per HCP
HCPHandsControlsAverage
02,310,789,60000
15,006,710,80000
28,611,542,57600
315,636,342,9600-10.3202
424,419,055,1360-20.8037
532,933,031,0400-21.0609
641,619,399,1840-21.3554
750,979,441,9680-31.8017
856,466,608,1280-42.1906
959,413,313,8720-42.5389
1059,723,754,8160-42.9355
1156,799,933,5200-53.3723
1250,971,682,0800-63.7524
1343,906,944,7521-64.1519
1436,153,374,2241-64.5803
1528,090,962,7241-74.9899
1621,024,781,7562-85.3901
1714,997,082,8482-85.8111
1810,192,504,0202-86.2344
196,579,838,4403-96.6273
204,086,538,4043-97.0491
212,399,507,8443-97.4640
221,333,800,0364-107.8600
23710,603,6284-108.2587
24354,993,8644-108.6729
25167,819,8925-119.0569
2674,095,2486-119.4182
2731,157,9406-119.8359
2811,790,7606-1210.1650
294,236,5887-1210.5083
301,396,0688-1210.8810
31388,1968-1211.1218
32109,1569-1211.4631
3322,36010-1211.6723
34448410-1211.8466
3562411-1211.9615
36601212.0000
3741212.0000
0-37635,013,559,6000-123.0000

HCP per Controls
ControlsHandsHCPAverage
051,915,526,4320-123.5455
184,362,730,4523-156.2727
2130,378,765,2444-187.8824
3132,634,453,2247-2110.1293
4106,275,127,9728-2411.9909
570,893,050,80011-2514.0036
636,155,455,90812-2816.0143
715,596,471,17615-2917.9256
85,192,436,96416-3120.0225
91,322,059,59619-3221.9829
10258,159,61622-3424.0980
1128,236,20825-3526.6364
121,086,00828-3729.3636
0-12635,013,559,6000-3710.0000

 Study 7Z80 Main Top HCP and Controls

## Balanced Shape

Three generic patterns: 4-3-3-3, 4-4-3-2 and 5-3-3-2.

Controls per HCP
HCPHandsControlsAverage
01,258,903,29600
12,551,590,72000
24,389,323,90400
37,724,154,8160-10.3303
412,008,470,3200-20.8091
515,905,447,7120-21.0552
619,871,903,6640-21.3576
724,098,511,5280-31.7960
826,622,237,6000-42.1873
927,794,443,6800-42.5323
1027,806,095,8000-42.9296
1126,536,540,6800-53.3663
1223,847,368,7600-63.7502
1320,587,593,7441-64.1476
1417,062,981,9921-64.5762
1513,429,620,8281-74.9940
1610,135,417,1402-85.3927
177,332,174,2162-85.8133
185,076,423,2522-86.2414
193,342,413,3163-96.6411
202,117,203,0683-97.0568
211,275,996,6483-97.4749
22730,416,5164-107.8782
23399,746,9644-108.2728
24206,919,7324-108.6845
25101,379,8765-119.0722
2646,516,6566-119.4341
2720,389,9806-119.8456
288,101,9006-1210.1760
293,044,8447-1210.5183
301,058,6048-1210.8937
31312,6888-1211.1288
3293,3489-1211.4764
3319,98010-1211.6607
34437210-1211.8435
3562411-1211.9615
36601212.0000
3741212.0000
0-37302,292,822,8320-123.0000

HCP per Controls
ControlsHandsHCPAverage
026,090,262,0000-123.5455
140,202,721,9003-156.2727
262,392,621,5004-187.8870
360,949,551,3007-2110.1478
450,121,892,9208-2411.9777
533,214,253,16011-2514.0248
617,662,662,82012-2815.9860
77,922,143,94415-2917.9344
82,781,316,16416-3119.9969
9773,901,96419-3221.9665
10160,997,76022-3424.1190
1119,565,70025-3526.6364
12931,70028-3729.3636
0-12302,292,822,8320-3710.0000

 Study 7Z80 Main Top HCP and Controls

## Unbalanced Shape

Any generic pattern except 4-3-3-3, 4-4-3-2 or 5-3-3-2.

Controls per HCP
HCPHandsControlsAverage
01,051,886,30400
12,455,120,08000
24,222,218,67200
37,912,188,1440-10.3103
412,410,584,8160-20.7985
517,027,583,3280-21.0662
621,747,495,5200-21.3534
726,880,930,4400-31.8067
829,844,370,5280-42.1935
931,618,870,1920-42.5447
1031,917,659,0160-42.9406
1130,263,392,8400-53.3774
1227,124,313,3200-63.7543
1323,319,351,0081-64.1558
1419,090,392,2321-64.5839
1514,661,341,8961-74.9863
1610,889,364,6162-85.3876
177,664,908,6322-85.8090
185,116,080,7682-86.2275
193,237,425,1243-96.6131
201,969,335,3363-97.0408
211,123,511,1964-97.4518
22603,383,5204-107.8379
23310,856,6645-108.2406
24148,074,1325-108.6566
2566,440,0166-119.0335
2627,578,5926-119.3914
2710,767,9607-119.8176
283,688,8607-1210.1408
291,191,7448-1210.4828
30337,4648-1210.8409
3175,5089-1211.0930
3215,8089-1211.3844
33238010-1211.7697
3411211-1211.9643
0-34332,720,736,7680-123.0000

HCP per Controls
ControlsHandsHCPAverage
025,825,264,4320-123.5455
144,160,008,5523-156.2727
267,986,143,7444-187.8781
371,684,901,9247-2010.1135
456,153,235,0528-2212.0027
537,678,797,64011-2413.9850
618,492,793,08812-2616.0413
77,674,327,23215-2817.9166
82,411,120,80016-3020.0520
9548,157,63219-3222.0060
1097,161,85622-3324.0632
118,670,50825-3426.6364
12154,30828-3429.3636
0-12332,720,736,7680-3410.0000

 Study 7Z80 Main Top HCP and Controls

## Tame Shape

Nine generic patterns: 4-3-3-3, 4-4-3-2, 5-3-3-2, 5-4-2-2, 4-4-4-1, 5-4-3-1, 6-3-2-2, 6-3-3-1 or 7-2-2-2.

Controls per HCP
HCPHandsControlsAverage
02,046,339,93600
14,319,337,31200
27,426,786,32000
313,309,544,1600-10.3245
420,740,666,0320-20.8063
527,766,490,6880-21.0586
634,890,285,6000-21.3567
742,559,540,9920-31.7994
847,071,459,8000-42.1891
949,362,273,4320-42.5361
1049,482,685,8480-42.9327
1147,153,411,5440-53.3696
1242,334,154,9040-63.7513
1336,504,121,4161-64.1500
1430,144,202,6081-64.5780
1523,567,774,5561-74.9920
1617,705,857,9322-85.3913
1712,711,756,2642-85.8121
188,713,861,8362-86.2375
195,674,847,7123-96.6339
203,556,301,7483-97.0530
212,111,792,7843-97.4689
221,188,569,9044-107.8685
23640,180,8964-108.2659
24324,431,5924-108.6789
25155,400,9005-119.0634
2669,483,8286-119.4252
2729,637,8766-119.8406
2811,364,9526-1210.1681
294,129,5607-1210.5102
301,372,7048-1210.8818
31386,3608-1211.1224
32109,1569-1211.4631
3322,36010-1211.6723
34448410-1211.8466
3562411-1211.9615
36601212.0000
3741212.0000
0-37531,578,588,6840-123.0000

HCP per Controls
ControlsHandsHCPAverage
044,493,999,0000-123.5455
170,687,679,7003-156.2727
2109,422,015,7804-187.8842
3109,311,569,4007-2110.1373
488,574,786,3888-2411.9849
558,946,311,11611-2514.0136
630,606,586,51612-2816.0014
713,470,932,90415-2917.9291
84,580,164,11616-3120.0124
91,213,672,94419-3221.9739
10242,438,41622-3424.1039
1127,346,39625-3526.6364
121,086,00828-3729.3636
0-12531,578,588,6840-3710.0000

 Study 7Z80 Main Top HCP and Controls

## Untame Shape

Any generic pattern except 4-3-3-3, 4-4-3-2, 5-3-3-2, 5-4-2-2, 4-4-4-1, 5-4-3-1, 6-3-2-2, 6-3-3-1 or 7-2-2-2.

Controls per HCP
HCPHandsControlsAverage
0264,449,66400
1687,373,48800
21,184,756,25600
32,326,798,8000-10.2954
43,678,389,1040-20.7893
55,166,540,3520-21.0734
66,729,113,5840-21.3487
78,419,900,9760-31.8129
89,395,148,3280-42.1982
910,051,040,4400-42.5525
1010,241,068,9680-42.9487
119,646,521,9760-53.3850
128,637,527,1761-63.7574
137,402,823,3361-64.1613
146,009,171,6161-64.5915
154,523,188,1682-74.9795
163,318,923,8242-85.3833
172,285,326,5842-85.8057
181,478,642,1843-86.2164
19904,990,7283-96.5859
20530,236,6564-97.0227
21287,715,0604-97.4282
22145,230,1325-107.7900
2370,422,7325-108.1933
2430,562,2726-108.6092
2512,418,9926-118.9751
264,611,4207-119.3132
271,520,0647-119.7451
28425,8088-1110.0809
29107,0289-1110.4353
3023,3649-1110.8336
3118361111.0000
0-31103,434,970,9160-113.0000

HCP per Controls
ControlsHandsHCPAverage
07,421,527,4320-113.5455
113,675,050,7523-146.2727
220,956,749,4644-177.8729
323,322,883,8247-1910.0917
417,700,341,5848-2112.0211
511,946,739,68411-2313.9547
65,548,869,39212-2516.0851
72,125,538,27215-2717.9037
8612,272,84816-2820.0976
9108,386,65219-3022.0828
1015,721,20022-3024.0069
11889,81225-3126.6364
0-11103,434,970,9160-3110.0000

 Study 7Z80 Main Top HCP and Controls

## 4-3-3-3 Shape

This is the only generic hand pattern that allows 37 HCP. Subsequent patterns gradually reduce the maximum: 36, 35, 34, etc.

Controls per HCP
HCPHandsControlsAverage
0298,722,81600
1583,220,73600
21,003,871,23200
31,739,138,6880-10.3354
42,698,012,8000-20.8114
53,539,168,6400-21.0522
64,403,572,1280-21.3580
75,311,985,1840-31.7927
85,863,612,0320-42.1858
96,098,710,9680-42.5289
106,094,244,0880-42.9269
115,820,897,8160-53.3634
125,236,272,2160-63.7494
134,525,112,7361-64.1455
143,762,309,3841-64.5752
152,976,568,2361-74.9956
162,254,937,8322-85.3939
171,641,613,5002-85.8145
181,145,716,1282-86.2448
19761,091,6723-96.6464
20486,317,3523-97.0591
21296,791,8963-97.4794
22172,256,4244-107.8850
2395,566,8004-108.2768
2450,363,1124-108.6872
2525,179,3605-119.0786
2611,820,6486-119.4386
275,307,4566-119.8457
282,183,3926-1210.1786
29846,9607-1210.5192
30308,4488-1210.8906
3195,6328-1211.1131
3230,7209-1211.4688
33696010-1211.6155
34184010-1211.8370
3527611-1211.9565
36481212.0000
3741212.0000
0-3766,905,856,1600-123.0000

HCP per Controls
ControlsHandsHCPAverage
05,929,605,0000-123.5455
18,894,407,5003-156.2727
213,835,745,0004-187.8896
313,264,746,0007-2110.1573
411,046,634,5008-2411.9718
57,291,218,00011-2514.0342
63,958,926,40012-2815.9723
71,800,843,00015-2917.9390
8650,060,40016-3119.9834
9187,697,62019-3221.9660
1040,409,16022-3424.1344
115,270,76025-3526.6364
12292,82028-3729.3636
0-1266,905,856,1600-3710.0000

 Study 7Z80 Main Top HCP and Controls

## 4-4-3-2 Shape

Controls per HCP
HCPHandsControlsAverage
0576,108,28800
11,159,075,00800
21,998,089,85600
33,500,086,4640-10.3312
45,447,418,4800-20.8083
57,201,988,6400-21.0541
68,995,078,5120-21.3576
710,896,685,0560-31.7949
812,048,600,9600-42.1872
912,566,324,4480-42.5319
1012,574,353,1680-42.9296
1112,003,625,0080-53.3665
1210,792,467,6480-63.7508
139,314,807,7601-64.1477
147,725,746,7361-64.5768
156,084,044,7841-74.9944
164,593,528,2522-85.3930
173,323,621,8082-85.8130
182,303,233,0562-86.2412
191,517,291,5683-96.6402
20961,283,6643-97.0556
21579,570,3363-97.4725
22331,988,4004-107.8756
23181,741,2484-108.2699
2493,978,1445-108.6797
2546,084,3205-119.0663
2621,121,5606-119.4286
279,244,0806-119.8374
283,659,7607-1210.1640
291,376,6887-1210.5106
30473,1368-1210.8791
31139,1528-1211.1149
3240,9929-1211.4693
33859210-1211.6606
34177610-1211.8446
3524011-1211.9500
36121212.0000
0-36136,852,887,6000-123.0000

HCP per Controls
ControlsHandsHCPAverage
011,859,210,0000-123.5455
118,184,122,0003-156.2727
228,264,450,5004-187.8887
327,491,805,0007-2110.1490
422,714,579,8008-2311.9758
515,026,457,60011-2514.0250
68,024,732,10012-2715.9848
73,592,102,80015-2917.9365
81,263,784,50016-3119.9990
9349,786,80019-3221.9745
1072,672,60022-3424.1179
118,784,60025-3526.6364
12399,30028-3629.3636
0-12136,852,887,6000-3610.0000

 Study 7Z80 Main Top HCP and Controls

## 5-3-3-2 Shape

Controls per HCP
HCPHandsControlsAverage
0384,072,19200
1809,294,97600
21,387,362,81600
32,484,929,6640-10.3257
43,863,039,0400-20.8086
55,164,290,4320-21.0589
66,473,253,0240-21.3574
77,889,841,2880-31.7997
88,710,024,6080-42.1885
99,129,408,2640-42.5352
109,137,498,5440-42.9313
118,712,017,8560-53.3681
127,818,628,8960-63.7499
136,747,673,2481-64.1488
145,574,925,8721-64.5761
154,369,007,8081-74.9921
163,286,951,0562-85.3915
172,366,938,9082-85.8130
181,627,474,0682-86.2392
191,064,030,0763-96.6384
20669,602,0523-97.0569
21399,634,4163-97.4749
22226,171,6924-107.8768
23122,438,9164-108.2740
2462,578,4765-108.6896
2530,116,1965-119.0759
2613,574,4486-119.4387
275,838,4446-119.8585
282,258,7487-1210.1928
29821,1968-1210.5303
30277,0208-1210.9222
3177,9049-1211.1728
3221,63610-1211.5008
33442810-1211.7317
3475611-1211.8571
351081212.0000
0-3598,534,079,0720-123.0000

HCP per Controls
ControlsHandsHCPAverage
08,301,447,0000-123.5455
113,124,192,4003-156.2727
220,292,426,0004-187.8829
320,193,000,3007-2110.1398
416,360,678,6208-2311.9844
510,896,577,56011-2514.0183
65,679,004,32012-2715.9973
72,529,198,14415-2817.9280
8867,471,26416-3020.0039
9236,417,54419-3121.9551
1047,916,00022-3324.1077
115,510,34025-3426.6364
12239,58028-3529.3636
0-1298,534,079,0720-3510.0000

 Study 7Z80 Main Top HCP and Controls

## 5-4-2-2 Shape

Controls per HCP
HCPHandsControlsAverage
0246,903,55200
1534,957,69600
2920,744,49600
31,663,414,7040-10.3216
42,599,672,3200-20.8041
53,498,126,9120-21.0604
64,406,978,0160-21.3566
75,389,847,5680-31.8015
85,968,963,2240-42.1901
96,267,660,7680-42.5381
106,288,743,2320-42.9346
115,988,505,3920-53.3717
125,376,127,8960-63.7515
134,629,605,7601-64.1509
143,817,654,2001-64.5783
152,974,849,2001-74.9899
162,231,960,4002-85.3903
171,594,443,7442-85.8108
181,088,865,1802-86.2348
19705,038,7243-96.6311
20439,647,6963-97.0530
21258,562,8004-97.4674
22144,483,1924-107.8680
2376,884,0125-108.2661
2438,504,2685-108.6847
2518,089,4246-119.0664
267,959,1686-119.4313
273,302,2087-119.8535
281,223,2447-1210.1906
29427,3568-1210.5345
30135,6488-1210.9379
3134,2729-1211.2216
32864010-1211.5750
33162011-1211.8667
341081212.0000
0-3467,182,326,6400-123.0000

HCP per Controls
ControlsHandsHCPAverage
05,534,298,0000-123.5455
18,933,938,2003-156.2727
213,819,932,7204-187.8834
313,931,577,0007-2010.1313
411,234,624,9408-2211.9882
57,481,364,66011-2414.0070
63,841,817,76012-2616.0143
71,667,542,14015-2817.9266
8560,617,20016-3020.0177
9144,815,22019-3121.9518
1028,749,60022-3224.0857
112,940,30025-3326.6364
12108,90028-3429.3636
0-1267,182,326,6400-3410.0000

 Study 7Z80 Main Top HCP and Controls

## 4-4-4-1 Shape

Note that only 11 controls are possible, because each singleton reduces the maximum by 1.

Controls per HCP
HCPHandsControlsAverage
072,013,53600
1152,028,57600
2264,049,63200
3469,802,5920-10.3236
4737,366,1120-20.7999
5987,952,8960-21.0552
61,244,046,3840-21.3560
71,518,005,6640-31.7963
81,687,649,0400-42.1891
91,768,663,2960-42.5370
101,776,222,0000-42.9355
111,695,428,9280-53.3735
121,524,045,2401-63.7563
131,312,019,2081-64.1537
141,083,496,6081-64.5835
15845,748,0002-74.9948
16633,339,8642-85.3923
17452,355,8402-85.8094
18308,297,3403-86.2323
19199,296,7203-96.6205
20123,431,0403-97.0384
2172,363,0244-97.4436
2239,978,3965-107.8327
2321,212,5685-108.2326
2410,350,9365-108.6250
254,855,8246-118.9976
262,060,5327-119.3568
27837,9367-119.7514
28293,0407-1110.0243
29100,2248-1110.3890
3026,6049-1110.6035
3165929-1110.7858
3211929-1110.9027
3311210-1110.9643
3441111.0000
0-3419,007,345,5000-113.0000

HCP per Controls
ControlsHandsHCPAverage
01,581,228,0000-113.5455
12,515,590,0003-146.2727
23,917,133,0004-177.8907
33,899,164,5007-2010.1353
43,198,393,0008-2111.9801
52,120,283,00011-2414.0054
61,102,068,00012-2516.0040
7473,170,50015-2817.9356
8155,727,00016-2920.0490
937,268,00019-3222.0763
106,655,00022-3324.0818
11665,50025-3426.6364
0-1119,007,345,5000-3410.0000

 Study 7Z80 Main Top HCP and Controls

## 5-4-3-1 Shape

Controls per HCP
HCPHandsControlsAverage
0288,054,14400
1635,548,03200
21,100,397,31200
31,996,946,7840-10.3183
43,137,188,3200-20.7988
54,244,734,3680-21.0595
65,370,642,1440-21.3554
76,588,576,2880-31.8007
87,323,861,8880-42.1907
97,706,183,1840-42.5402
107,749,400,8960-42.9377
117,383,262,3200-53.3755
126,630,108,7681-63.7556
135,702,287,6801-64.1547
144,693,321,4401-64.5833
153,641,808,8162-74.9915
162,719,135,0082-85.3907
171,929,268,3682-85.8087
181,304,790,3363-86.2294
19835,879,1763-96.6173
20513,892,5843-97.0391
21297,351,0004-97.4450
22162,337,4645-107.8336
2384,834,6485-108.2354
2440,853,6645-108.6378
2518,688,3206-119.0097
267,809,1207-119.3695
273,074,9767-119.7773
281,044,8647-1110.0618
29340,6328-1110.4149
3087,7689-1110.6555
3118,7929-1110.8046
32324010-1110.9333
332161111.0000
0-3382,111,732,5600-113.0000

HCP per Controls
ControlsHandsHCPAverage
06,641,157,6000-113.5455
110,881,723,6003-146.2727
216,876,015,2004-177.8862
317,160,636,2407-2010.1259
413,848,203,1608-2111.9886
59,220,475,88011-2413.9967
64,685,226,48012-2516.0209
71,981,805,76015-2817.9281
8639,199,44016-2920.0523
9148,539,60019-3122.0455
1026,353,80022-3224.0661
112,395,80025-3326.6364
0-1182,111,732,5600-3310.0000

 Study 7Z80 Main Top HCP and Controls

## 6-3-2-2 Shape

Controls per HCP
HCPHandsControlsAverage
0109,734,91200
1266,499,07200
2449,717,18400
3863,890,2720-10.3085
41,338,156,2880-20.8085
51,847,667,0240-21.0726
62,350,716,9840-21.3549
72,913,941,5200-31.8127
83,205,597,2480-42.1935
93,408,949,1520-42.5449
103,424,218,8400-42.9367
113,244,906,6560-53.3726
122,898,328,7520-63.7481
132,499,992,6401-64.1520
142,042,896,3201-64.5757
151,573,412,9761-74.9844
161,170,675,9362-85.3867
17830,508,0482-85.8133
18556,662,0962-86.2346
19354,639,7443-96.6305
20218,278,6563-97.0603
21126,158,8324-97.4838
2268,465,2324-107.8802
2335,695,7285-108.2841
2417,525,9525-108.7201
257,927,4886-119.1079
263,352,6806-119.4637
271,358,4967-119.9185
28483,1208-1210.2851
29154,0808-1210.5846
3048,1689-1211.0523
3111,37610-1211.4051
32230411-1211.6250
334321212.0000
0-3335,830,574,2080-123.0000

HCP per Controls
ControlsHandsHCPAverage
02,767,149,0000-123.5455
14,796,391,6003-156.2727
27,305,273,3604-187.8659
37,795,933,2007-2010.1144
45,957,396,2808-2212.0106
54,043,343,74411-2413.9971
61,957,900,03212-2616.0345
7853,357,82415-2717.9032
8270,237,52816-2920.0208
969,364,94419-3021.9021
1012,946,03222-3124.0741
111,237,10425-3226.6364
1243,56028-3329.3636
0-1235,830,574,2080-3310.0000

 Study 7Z80 Main Top HCP and Controls

## 6-3-3-1 Shape

Controls per HCP
HCPHandsControlsAverage
064,012,03200
1157,997,95200
2268,821,50400
3517,466,8800-10.3053
4807,371,7120-20.8018
51,119,557,3760-21.0713
61,431,860,9760-21.3536
71,779,410,8080-31.8114
81,967,529,3120-42.1941
92,094,792,8400-42.5469
102,110,824,5760-42.9403
112,000,693,5200-53.3770
121,788,624,2881-63.7526
131,539,727,2001-64.1559
141,256,282,7841-64.5812
15962,553,8882-74.9850
16712,974,6722-85.3867
17501,522,6242-85.8104
18332,747,1363-86.2281
19209,448,1443-96.6151
20126,998,2083-97.0456
2171,982,5764-97.4605
2238,137,3925-107.8447
2319,456,9925-108.2531
249,171,9365-108.6776
254,002,3366-119.0532
261,612,8007-119.4038
27607,7527-119.8479
28197,2808-1110.1577
2957,3849-1110.4605
3014,4009-1110.7500
31230410-1110.8125
324321111.0000
0-3221,896,462,0160-113.0000

HCP per Controls
ControlsHandsHCPAverage
01,660,289,4000-113.5455
12,918,084,4003-146.2727
24,460,979,6004-177.8701
34,794,954,1207-2010.1087
43,678,990,4808-2112.0108
52,490,673,68011-2413.9848
61,195,216,70412-2516.0453
7502,543,00815-2717.9055
8153,427,03216-2820.0545
934,882,84819-3021.9838
105,941,58422-3124.0484
11479,16025-3226.6364
0-1121,896,462,0160-3210.0000

 Study 7Z80 Main Top HCP and Controls

## 5-5-2-1 Shape

Controls per HCP
HCPHandsControlsAverage
061,725,88800
1145,741,68000
2253,761,98400
3471,517,2000-10.3091
4748,331,1360-20.7905
51,026,669,1680-21.0646
61,314,750,5280-21.3533
71,624,967,5680-31.8059
81,816,432,1280-42.1943
91,919,571,6960-42.5459
101,941,202,3680-42.9443
111,842,063,5520-53.3820
121,655,365,6801-63.7570
131,417,246,8481-64.1577
141,160,905,3921-64.5867
15888,961,8242-74.9838
16660,369,0242-85.3869
17460,066,6082-85.8041
18306,517,8243-86.2198
19192,340,6563-96.6033
20115,912,0804-97.0343
2164,890,8284-97.4380
2234,538,6165-107.8269
2317,330,5445-108.2266
248,001,2886-108.6512
253,445,2006-119.0230
261,376,3527-119.3839
27492,4807-119.8039
28148,3928-1110.1288
2942,7689-1110.4773
30972010-1110.8000
319721111.0000
0-3120,154,697,9920-113.0000

HCP per Controls
ControlsHandsHCPAverage
01,549,603,4400-113.5455
12,664,512,9283-146.2727
24,127,292,5764-177.8849
34,330,839,7447-1910.1078
43,443,313,4568-2112.0007
52,291,813,56811-2313.9727
61,126,265,58012-2516.0641
7446,402,88015-2717.9218
8140,023,62016-2820.0649
929,076,30019-2921.9775
105,227,20022-3024.0170
11326,70025-3126.6364
0-1120,154,697,9920-3110.0000

 Study 7Z80 Main Top HCP and Controls

## 6-4-2-1 Shape

Controls per HCP
HCPHandsControlsAverage
082,301,18400
1208,039,10400
2357,019,48800
3689,925,6000-10.3015
41,086,390,1440-20.7946
51,512,689,4720-21.0719
61,948,375,2960-21.3521
72,426,856,7680-31.8122
82,698,584,3360-42.1960
92,874,342,2400-42.5494
102,908,319,9040-42.9447
112,751,350,1120-53.3815
122,463,525,7921-63.7547
132,113,475,3281-64.1578
141,721,571,2641-64.5848
151,309,621,5362-74.9806
16967,753,7282-85.3845
17673,095,4562-85.8064
18443,031,2643-86.2214
19275,793,4083-96.6043
20165,054,2404-97.0405
2191,737,2164-97.4522
2247,920,3205-107.8371
2323,848,9925-108.2416
2410,904,8326-108.6787
254,602,5286-119.0545
261,796,5447-119.4045
27635,0407-119.8478
28187,3448-1110.1868
2950,9769-1110.4972
3011,52010-1110.8500
318641111.0000
0-3129,858,811,8400-113.0000

HCP per Controls
ControlsHandsHCPAverage
02,213,719,2000-113.5455
13,964,569,8403-146.2727
26,077,665,4404-177.8733
36,598,991,5207-1910.1001
45,071,255,2008-2112.0144
53,416,933,52011-2313.9694
61,621,825,92012-2516.0717
7648,608,40015-2717.9065
8196,542,72016-2820.0639
941,120,64019-2921.9466
107,143,84022-3024.0144
11435,60025-3126.6364
0-1129,858,811,8400-3110.0000

 Study 7Z80 Main Top HCP and Controls

## 7-2-2-2 Shape

Controls per HCP
HCPHandsControlsAverage
06,718,46400
120,715,26400
233,732,28800
373,868,1120-10.2804
4112,440,9600-20.8141
5163,004,4000-21.0962
6214,137,4320-21.3472
7271,247,6160-31.8319
8295,621,4880-42.2043
9321,580,5120-42.5588
10327,180,5040-42.9423
11304,074,0480-53.3742
12269,551,2000-63.7411
13232,895,1841-64.1531
14187,569,2641-64.5749
15139,780,8481-74.9707
16102,354,9122-85.3778
1771,483,4242-85.8198
1846,076,4963-86.2406
1928,131,8883-96.6266
2016,850,4964-97.0756
219,377,9044-97.5239
224,751,7125-107.9119
232,349,9845-108.3176
241,105,1046-108.7960
25457,6326-119.2074
26172,8727-119.5248
2766,5288-1110.0530
2821,5049-1210.5234
29504010-1210.7000
30151211-1211.3333
313361212.0000
0-313,257,324,9280-123.0000

HCP per Controls
ControlsHandsHCPAverage
0219,615,0000-123.5455
1439,230,0003-156.2727
2650,060,4004-177.8329
3779,753,0407-1910.0856
4535,285,6088-2112.0549
5375,916,99211-2313.9750
6161,694,72012-2516.0751
770,369,72815-2617.8583
819,639,75216-2720.0299
94,900,36819-2821.8057
10794,64022-2924.0457
1162,83225-3026.6364
12184828-3129.3636
0-123,257,324,9280-3110.0000

 Study 7Z80 Main Top HCP and Controls

## 5-4-4-0 Shape

Note that only 9 controls are possible, because each void reduces the maximum by 3.

Controls per HCP
HCPHandsControlsAverage
024,004,51200
156,010,52800
298,685,21600
3181,748,4480-10.3082
4289,959,2640-20.7832
5398,805,1200-21.0567
6511,388,6400-21.3513
7633,298,1760-31.7977
8711,807,2640-42.1915
9754,028,3520-42.5455
10763,599,3121-42.9462
11728,808,1921-53.3862
12655,299,7201-63.7678
13561,789,4322-64.1668
14459,690,7682-64.5992
15352,176,7682-74.9980
16258,943,6083-75.3939
17179,644,1763-75.8044
18117,527,5443-86.2122
1972,518,5444-86.5687
2042,273,5765-86.9813
2122,965,5525-97.3464
2211,394,9725-97.6585
235,509,8726-98.0577
242,202,1567-98.3125
25893,6647-98.6087
26284,9407-98.8365
2779,2008-98.9700
2818,90099.0000
29237699.0000
3010899.0000
0-307,895,358,9000-93.0000

HCP per Controls
ControlsHandsHCPAverage
0603,741,6000-93.5455
11,034,985,6003-126.2727
21,617,165,0004-157.8945
31,689,039,0007-1810.1103
41,365,606,0008-1911.9909
5909,206,10011-2213.9662
6448,014,60012-2316.0389
7173,695,50015-2617.9310
847,916,00018-2720.1818
95,989,50021-3022.9091
0-97,895,358,9000-3010.0000

 Study 7Z80 Main Top HCP and Controls

## 7-3-2-1 Shape

Controls per HCP
HCPHandsControlsAverage
023,514,62400
173,436,54400
2121,056,76800
3264,446,2080-10.2777
4406,967,3280-20.8049
5591,197,1840-21.0939
6781,627,9680-21.3456
7992,222,3520-31.8295
81,089,256,8960-42.2045
91,184,984,2080-42.5603
101,210,560,7680-42.9470
111,125,952,1280-53.3795
12999,507,4561-63.7465
13861,315,2641-64.1569
14692,336,7361-64.5819
15512,714,5922-74.9690
16373,514,6882-85.3767
17258,083,4242-85.8150
18164,003,3283-86.2311
1998,909,5683-96.6070
2058,073,7604-97.0601
2131,538,3044-97.5001
2215,507,0725-107.8747
237,471,2965-108.2858
243,330,4326-108.7651
251,312,4167-119.1636
26467,7127-119.4677
27160,2728-119.9874
2844,3529-1110.4091
29907210-1110.5556
3020161111.0000
0-3011,943,524,7360-113.0000

HCP per Controls
ControlsHandsHCPAverage
0790,614,0000-113.5455
11,600,394,4003-146.2727
22,382,383,5204-177.8397
32,870,168,4007-1910.0796
41,991,737,4408-2112.0549
51,388,727,64811-2313.9582
6593,740,22412-2416.0950
7243,099,64815-2617.8625
866,193,77616-2720.0609
914,148,28819-2821.8519
102,195,42422-2924.0051
11121,96825-3026.6364
0-1111,943,524,7360-3010.0000

 Study 7Z80 Main Top HCP and Controls

## 5-5-3-0 Shape

Controls per HCP
HCPHandsControlsAverage
016,003,00800
138,864,44800
268,584,32000
3128,214,5760-10.3031
4205,562,4480-20.7794
5284,815,4400-21.0602
6367,751,6640-21.3500
7457,274,1600-31.8012
8515,217,0240-42.1935
9547,132,3200-42.5483
10555,823,2961-42.9494
11529,060,8961-53.3891
12475,892,9281-63.7676
13407,021,7602-64.1678
14332,133,2642-64.6003
15252,522,5762-74.9929
16185,235,9843-75.3914
17127,169,1363-75.8021
1882,486,9443-86.2068
1950,289,9844-86.5607
2028,983,3125-86.9780
2115,414,1925-97.3430
227,533,6485-97.6515
233,545,9646-98.0456
241,376,0287-98.3176
25530,7127-98.6087
26167,8327-98.8436
2740,8248-98.9762
28874899.0000
2997299.0000
0-295,684,658,4080-93.0000

HCP per Controls
ControlsHandsHCPAverage
0422,619,1200-93.5455
1744,614,6403-126.2727
21,161,483,8404-157.8927
31,235,657,8087-1810.1005
4988,986,2408-1911.9992
5658,365,84011-2213.9536
6318,401,82012-2316.0646
7118,592,10015-2617.9256
832,343,30018-2720.1818
93,593,70021-2922.9091
0-95,684,658,4080-2910.0000

 Study 7Z80 Main Top HCP and Controls

## 6-5-1-1 Shape

Controls per HCP
HCPHandsControlsAverage
010,287,64800
128,005,26400
249,279,10400
396,589,5840-10.2899
4156,219,8400-20.7736
5220,253,0400-21.0734
6289,977,4080-21.3467
7363,899,0880-31.8136
8411,233,7600-42.2006
9439,323,6960-42.5555
10449,962,1280-42.9574
11423,636,6961-53.3947
12381,013,4161-63.7619
13323,992,8721-64.1644
14262,155,0962-64.5981
15195,270,2642-74.9682
16142,861,5362-85.3765
1795,867,2803-85.7944
1861,181,1364-86.1973
1936,770,9764-96.5603
2020,893,6804-97.0125
2110,846,4405-97.4226
225,357,8806-107.8006
232,447,9286-108.1886
24979,5606-108.6670
25358,3447-109.0705
26121,8248-109.4043
2732,4009-109.7600
2838881010.0000
0-284,478,821,7760-103.0000

HCP per Controls
ControlsHandsHCPAverage
0309,920,6880-103.5455
1587,641,8243-136.2727
2908,173,7284-167.8824
31,017,761,9767-1710.0758
4785,465,2088-2012.0264
5522,040,46411-2113.9223
6240,137,56812-2416.1494
779,976,16015-2517.9089
823,522,40016-2620.0955
93,528,36019-2721.8215
10653,40022-2823.9091
0-104,478,821,7760-2810.0000

 Study 7Z80 Main Top HCP and Controls

## 6-4-3-0 Shape

Controls per HCP
HCPHandsControlsAverage
021,337,34400
155,375,48800
296,526,08000
3187,209,7920-10.2958
4298,414,3680-20.7823
5419,126,4000-21.0671
6544,737,3120-21.3487
7682,311,1680-31.8071
8765,761,4720-42.1952
9818,893,1520-42.5516
10833,066,6401-42.9503
11790,398,0001-53.3890
12708,825,6001-63.7655
13607,037,7602-64.1680
14492,804,0002-64.5990
15371,841,8402-74.9890
16271,408,1763-75.3889
17185,666,9763-75.8038
18118,867,6803-86.2067
1971,718,3364-86.5589
2041,009,3285-86.9815
2121,532,1765-97.3544
2210,289,6645-97.6520
234,778,4966-98.0563
241,835,1367-98.3475
25671,1847-98.6145
26214,7047-98.8645
2746,3688-98.9814
2810,65699.0000
2986499.0000
0-298,421,716,1600-93.0000

HCP per Controls
ControlsHandsHCPAverage
0603,741,6000-93.5455
11,106,859,6003-126.2727
21,710,601,2004-157.8824
31,880,223,8407-1810.0924
41,459,521,3608-1912.0128
5981,319,68011-2213.9482
6459,035,28012-2316.0759
7170,580,96015-2617.9106
845,041,04018-2720.1818
94,791,60021-2922.9091
0-98,421,716,1600-2910.0000

 Study 7Z80 Main Top HCP and Controls

## 7-4-1-1 Shape

Controls per HCP
HCPHandsControlsAverage
04,408,99200
114,206,75200
224,058,94400
352,289,7120-10.2717
482,537,4880-20.7852
5120,271,8240-21.0907
6161,467,7760-21.3418
7205,755,1200-31.8262
8229,419,6480-42.2063
9249,487,5600-42.5632
10257,250,3840-42.9576
11239,196,0241-53.3909
12213,122,8801-63.7553
13182,487,0961-64.1624
14145,933,0562-64.5957
15106,565,5442-74.9592
1676,905,2162-85.3697
1751,774,1203-85.8034
1831,915,7284-86.2090
1918,857,1604-96.5662
2010,538,6404-97.0360
215,435,6405-97.4701
222,536,1286-107.8362
231,146,6006-108.2325
24444,5286-108.7494
25159,7687-109.1703
2648,3848-109.4375
2712,6009-109.8400
2810081010.0000
0-282,488,234,3200-103.0000

HCP per Controls
ControlsHandsHCPAverage
0158,122,8000-103.5455
1329,182,9203-136.2727
2495,799,9204-167.8532
3603,567,3607-1710.0647
4427,977,0008-2012.0585
5292,984,56011-2113.9191
6123,971,76012-2416.1566
742,906,60015-2517.8719
811,586,96016-2620.0909
91,829,52019-2721.7576
10304,92022-2823.9091
0-102,488,234,3200-2810.0000

 Study 7Z80 Main Top HCP and Controls

## 6-5-2-0 Shape

Controls per HCP
HCPHandsControlsAverage
09,144,57600
125,147,58400
244,579,80800
387,508,5120-10.2874
4142,248,9600-20.7679
5201,434,6880-21.0700
6266,196,6720-21.3448
7335,077,3440-31.8098
8380,255,9040-42.1991
9407,332,8000-42.5558
10418,158,7201-42.9592
11394,759,0081-53.3978
12355,286,7361-63.7682
13302,182,2722-64.1708
14244,100,3042-64.6068
15181,270,6562-74.9764
16131,593,2483-75.3812
1787,571,5843-75.7950
1854,883,8724-86.1890
1932,309,2804-86.5283
2017,767,2965-86.9632
218,830,0805-97.3386
224,060,3686-97.6290
231,753,0566-97.9975
24592,2727-98.3173
25186,6247-98.6111
2657,0248-98.8636
27777699.0000
0-274,134,297,0240-93.0000

HCP per Controls
ControlsHandsHCPAverage
0281,746,0800-93.5455
1539,342,4963-126.2727
2837,188,3524-157.8872
3942,934,6087-1710.0737
4732,121,6328-1912.0246
5486,809,13611-2113.9137
6222,678,72012-2316.1423
771,351,28015-2517.9101
818,817,92018-2620.1818
91,306,80021-2722.9091
0-94,134,297,0240-2710.0000

 Study 7Z80 Main Top HCP and Controls

## 7-3-3-0 Shape

Controls per HCP
HCPHandsControlsAverage
03,048,19200
19,725,18400
216,381,44000
335,665,9200-10.2727
455,883,5200-20.7889
581,616,8960-21.0877
6109,049,3280-21.3421
7139,132,9440-31.8230
8154,681,9200-42.2031
9168,623,2080-42.5619
10173,449,0801-42.9540
11161,955,2881-53.3885
12144,129,6721-63.7584
13123,826,4642-64.1673
1499,195,6242-64.5983
1572,718,7762-74.9751
1652,284,4563-75.3799
1735,383,1763-75.8101
1821,724,8483-86.2110
1912,636,7924-86.5518
207,041,3845-86.9931
213,557,7365-97.3950
221,566,9365-97.6526
23697,5366-98.0853
24258,5527-98.4444
2578,1207-98.6323
2625,7048-98.9216
27352899.0000
28100899.0000
0-281,684,343,2320-93.0000

HCP per Controls
ControlsHandsHCPAverage
0107,811,0000-93.5455
1222,809,4003-126.2727
2335,412,0004-157.8526
3407,286,0007-1810.0711
4288,454,3208-1912.0530
5199,330,56011-2213.9307
684,332,16012-2316.1111
730,857,90415-2517.8676
87,379,06418-2620.1818
9670,82421-2822.9091
0-91,684,343,2320-2810.0000

 Study 7Z80 Main Top HCP and Controls

## 8-2-2-1 Shape

Controls per HCP
HCPHandsControlsAverage
01,259,71200
15,808,67200
29,036,68400
324,695,6040-10.2352
436,656,0640-20.8157
556,799,7920-21.1294
680,710,9920-21.3255
7104,434,3800-31.8531
8113,165,5320-42.2290
9126,554,4000-42.5801
10135,262,8000-42.9537
11118,990,6560-53.3748
12104,751,8281-63.7281
1390,612,3961-64.1524
1471,952,3361-64.5876
1549,735,8722-74.9451
1635,518,1762-85.3613
1724,166,6923-85.8350
1814,505,6603-86.2651
198,080,9924-96.6098
204,605,6964-97.0966
212,394,7205-97.5981
221,045,7285-107.9685
23460,6566-108.3567
24197,5687-108.9209
2567,5368-119.4104
2618,1449-119.5833
27604810-1110.2500
2815121111.0000
0-281,221,496,8480-113.0000

HCP per Controls
ControlsHandsHCPAverage
065,884,5000-113.5455
1164,112,3003-146.2727
2233,830,0804-167.7877
3336,609,9007-1810.0529
4197,152,5608-2012.1207
5144,397,04411-2213.9359
651,714,43212-2316.1358
721,712,28415-2417.7943
84,875,94816-2520.0567
91,070,78419-2621.6865
10131,47222-2723.9819
11554425-2826.6364
0-111,221,496,8480-2810.0000

 Study 7Z80 Main Top HCP and Controls

## 7-4-2-0 Shape

Controls per HCP
HCPHandsControlsAverage
03,919,10400
112,737,08800
221,772,80000
347,278,0800-10.2694
475,155,0400-20.7783
5109,873,1520-21.0869
6148,119,8400-21.3399
7189,294,6240-31.8221
8212,209,6320-42.2046
9231,222,8160-42.5632
10239,084,7841-42.9599
11222,994,5121-53.3945
12198,910,0801-63.7619
13170,249,4722-64.1690
14135,959,3282-64.6050
1598,897,0402-74.9670
1670,805,5203-75.3743
1747,185,3443-75.8034
1828,496,1604-86.1983
1916,428,3844-86.5295
208,873,4245-86.9816
214,347,5045-97.3830
221,862,7846-97.6364
23794,3046-98.0368
24262,0807-98.4077
2573,5847-98.6301
2623,1848-98.9130
27201699.0000
0-272,296,831,6800-93.0000

HCP per Controls
ControlsHandsHCPAverage
0143,748,0000-93.5455
1301,870,8003-126.2727
2457,118,6404-157.8593
3558,439,2007-1710.0622
4399,793,6808-1912.0565
5273,208,32011-2113.9085
6115,085,52012-2316.1525
737,810,08015-2517.8724
89,147,60018-2620.1818
9609,84021-2722.9091
0-92,296,831,6800-2710.0000

 Study 7Z80 Main Top HCP and Controls

## 8-3-1-1 Shape

Controls per HCP
HCPHandsControlsAverage
0734,83200
13,417,55200
25,409,50400
314,658,7320-10.2331
422,102,3080-20.8034
534,225,5240-21.1255
648,950,8920-21.3241
763,536,5080-31.8486
869,490,6560-42.2276
977,698,6560-42.5804
1083,309,9040-42.9599
1173,648,8001-53.3818
1264,854,1441-63.7358
1356,016,3241-64.1561
1444,245,4042-64.5984
1530,400,2362-74.9386
1621,488,2922-85.3561
1714,467,8603-85.8267
188,408,7364-86.2481
194,671,7204-96.5799
202,556,0004-97.0831
211,292,1845-97.5779
22534,2406-107.9358
23229,3206-108.3187
2485,6807-108.9235
2528,7288-109.4211
2660489-109.5000
2715121010.0000
0-27746,470,2960-103.0000

HCP per Controls
ControlsHandsHCPAverage
039,530,7000-103.5455
199,425,7003-136.2727
2142,876,8004-167.7980
3205,777,4407-1710.0466
4123,100,5608-2012.1206
588,905,96011-2113.9113
631,794,44412-2316.1718
711,861,38815-2417.8022
82,665,87216-2520.0802
9470,44819-2621.6296
1060,98422-2723.9091
0-10746,470,2960-2710.0000

 Study 7Z80 Main Top HCP and Controls

## 6-6-1-0 Shape

Controls per HCP
HCPHandsControlsAverage
0762,04800
12,370,81600
24,339,44000
38,784,7200-10.2699
414,817,6000-20.7400
521,337,3440-21.0744
629,211,8400-21.3348
737,192,1760-31.8127
843,076,8800-42.2054
946,484,9281-42.5610
1048,577,5361-42.9765
1145,505,1521-53.4149
1241,189,9042-63.7755
1334,700,4002-64.1778
1427,615,1682-64.6297
1519,885,8243-74.9521
1614,164,4164-75.3582
178,881,4884-75.7770
185,198,2564-86.1408
192,915,1365-86.4232
201,410,0486-86.8750
21596,1606-87.3188
22245,3766-87.5775
2388,1287-87.8235
2415,55288.0000
0-24459,366,3360-83.0000

HCP per Controls
ControlsHandsHCPAverage
028,174,6080-83.5455
158,910,5443-116.2727
292,207,8084-147.8965
3109,405,2967-1510.0404
484,889,7288-1812.0498
555,251,50411-1913.8417
624,254,20812-2216.2721
74,965,84015-2317.9091
81,306,80018-2420.1818
0-8459,366,3360-2410.0000

 Study 7Z80 Main Top HCP and Controls

## 7-5-1-0 Shape

Controls per HCP
HCPHandsControlsAverage
0979,77600
13,374,78400
26,023,80800
313,009,2480-10.2594
421,573,2160-20.7477
531,649,1840-21.0841
643,843,6800-21.3320
756,345,7600-31.8187
864,680,7680-42.2082
970,542,1441-42.5652
1074,040,4801-42.9764
1168,909,1841-53.4117
1261,904,7362-63.7723
1352,490,1602-64.1756
1441,436,5762-64.6295
1529,484,0003-74.9456
1620,762,7844-75.3530
1713,130,2084-75.7837
187,432,9924-86.1485
194,161,0245-86.4266
201,971,6486-86.8988
21840,6726-87.3525
22326,5926-87.5833
23117,9367-87.8462
2418,14488.0000
0-24689,049,5040-83.0000

HCP per Controls
ControlsHandsHCPAverage
040,249,4400-83.5455
188,757,8563-116.2727
2136,743,5524-147.8789
3170,354,4487-1510.0371
4125,766,4328-1812.0682
583,269,29611-1913.8411
634,760,88012-2216.2727
77,318,08015-2317.8864
81,829,52018-2420.1818
0-8689,049,5040-2410.0000

 Study 7Z80 Main Top HCP and Controls

## 8-3-2-0 Shape

Controls per HCP
HCPHandsControlsAverage
0653,18400
13,055,96800
24,898,88000
313,206,2400-10.2314
420,123,6400-20.7942
531,203,7920-21.1206
644,810,7120-21.3226
758,365,7920-31.8434
864,296,2880-42.2246
971,976,8160-42.5798
1077,356,0801-42.9632
1168,789,9521-53.3865
1260,628,0321-63.7436
1352,336,8002-64.1629
1441,243,8322-64.6095
1528,209,3122-74.9448
1619,728,3603-75.3599
1713,131,3603-75.8254
187,394,4004-86.2324
193,988,2244-86.5316
202,094,4805-87.0177
21992,8805-97.4853
22356,8326-97.6497
23147,1687-98.1164
2448,3847-98.6250
2590728-98.6667
26302499.0000
0-26689,049,5040-93.0000

HCP per Controls
ControlsHandsHCPAverage
035,937,0000-93.5455
191,040,4003-126.2727
2131,769,0004-157.8066
3189,921,6007-1710.0436
4115,564,6808-1912.1185
582,938,24011-2113.8960
629,577,24012-2216.1747
710,140,76815-2417.8018
82,038,60818-2520.1818
9121,96821-2622.9091
0-9689,049,5040-2610.0000

 Study 7Z80 Main Top HCP and Controls

## 8-4-1-0 Shape

Controls per HCP
HCPHandsControlsAverage
0244,94400
11,170,28800
21,950,48000
35,159,3760-10.2268
48,150,5440-20.7677
512,600,5760-21.1137
618,387,0000-21.3184
724,084,4320-31.8355
827,055,9440-42.2232
930,288,3841-42.5790
1032,788,1521-42.9768
1129,397,6001-53.4011
1225,957,3682-63.7570
1322,343,9042-64.1678
1417,366,0402-64.6342
1511,739,7443-74.9250
168,026,4164-75.3388
175,184,5764-75.8073
182,675,0884-86.1819
191,459,5845-86.4385
20660,2406-86.9679
21286,2726-87.4613
2290,7206-87.6000
2333,2647-87.9091
24302488.0000
0-24287,103,9600-83.0000

HCP per Controls
ControlsHandsHCPAverage
014,374,8000-83.5455
137,243,8003-116.2727
254,885,6004-147.8279
379,235,6407-1510.0285
450,355,3608-1812.1221
534,978,68011-1913.8391
612,545,28012-2216.2746
72,874,96015-2317.8209
8609,84018-2420.1818
0-8287,103,9600-2410.0000

 Study 7Z80 Main Top HCP and Controls

## 9-2-1-1 Shape

Controls per HCP
HCPHandsControlsAverage
034,99200
1331,45200
2482,54400
31,915,8120-10.1730
42,714,6880-20.8199
54,553,7240-21.1764
67,594,7040-21.2819
79,892,8840-31.8748
810,665,7920-42.2803
912,227,6280-42.6106
1014,876,3520-42.9674
1111,417,9881-53.3639
1210,011,6721-63.6916
138,691,5641-64.1429
146,888,4562-64.6204
154,096,7402-74.9036
162,848,8963-85.3347
171,888,8843-85.8745
181,031,4724-86.3505
19482,9404-96.6049
20261,2165-97.1563
21126,2166-97.7741
2243,2727-108.2063
2314,6168-108.4483
2455449-109.1818
2515121010.0000
0-25113,101,5600-103.0000

HCP per Controls
ControlsHandsHCPAverage
04,392,3000-103.5455
114,853,9603-136.2727
220,081,1604-157.7223
337,483,3807-1710.0274
417,351,4008-1912.2091
513,409,88011-2013.8957
63,691,38012-2116.1973
71,531,20015-2217.7069
8249,48016-2320.0584
953,46019-2421.4377
10396022-2523.9091
0-10113,101,5600-2510.0000

 Study 7Z80 Main Top HCP and Controls

## 9-2-2-0 Shape

Controls per HCP
HCPHandsControlsAverage
015,55200
1147,74400
2218,70000
3859,1400-10.1720
41,235,5200-20.8079
52,070,5760-21.1698
63,461,0880-21.2814
74,535,4840-31.8674
84,932,4200-42.2740
95,663,8080-42.6086
106,879,2641-42.9720
115,361,8401-53.3704
124,690,8601-63.7026
134,079,7242-64.1498
143,210,1682-64.6367
151,901,5203-74.9045
161,292,9763-75.3358
17852,8044-75.8702
18433,1164-86.3247
19197,4245-86.5317
20100,0805-87.0734
2144,7846-97.6720
2210,5847-97.6667
2340328-98.2500
24151299.0000
0-2452,200,7200-93.0000

HCP per Controls
ControlsHandsHCPAverage
01,996,5000-93.5455
16,788,1003-126.2727
29,263,7604-147.7343
317,242,5007-1610.0240
48,218,3208-1812.2070
56,265,38011-2013.8714
61,721,28012-2116.2141
7611,82015-2217.7061
889,10018-2320.1818
9396021-2422.9091
0-952,200,7200-2410.0000

 Study 7Z80 Main Top HCP and Controls

## 7-6-0-0 Shape

Controls per HCP
HCPHandsControlsAverage
036,28800
1139,10400
2266,11200
3574,5600-10.2421
41,019,0880-20.7003
51,505,9520-21.0783
62,186,3520-21.3154
72,842,5601-31.8106
83,380,8321-42.2111
93,719,5201-42.5618
103,995,1362-43.0000
113,719,5202-53.4382
123,380,8322-53.7889
132,842,5603-54.1894
142,186,3524-64.6846
151,505,9524-64.9217
161,019,0884-65.2997
17574,5605-65.7579
18266,11266.0000
19139,10466.0000
2036,28866.0000
0-2035,335,8720-63.0000

HCP per Controls
ControlsHandsHCPAverage
01,829,5200-63.5455
14,390,8483-96.2727
26,952,1764-127.9091
38,990,7847-1310.0000
46,952,1768-1612.0909
54,390,84811-1713.7273
61,829,52014-2016.4545
0-635,335,8720-2010.0000

 Study 7Z80 Main Top HCP and Controls

## 9-3-1-0 Shape

Controls per HCP
HCPHandsControlsAverage
018,14400
1173,08800
2262,08000
31,013,9760-10.1707
41,488,7440-20.7921
52,486,3760-21.1635
64,174,2000-21.2807
75,505,4320-31.8598
86,049,3440-42.2688
96,956,7841-42.6063
108,432,7361-42.9796
116,682,0321-53.3793
125,820,3842-63.7143
135,081,9282-64.1527
143,941,7842-64.6573
152,327,4003-74.8884
161,537,9924-75.3187
171,013,6884-75.8563
18461,3764-86.2793
19222,3365-86.4644
2097,6326-87.0708
2142,3366-87.6667
2280647-87.6250
23302488.0000
0-2363,800,8800-83.0000

HCP per Controls
ControlsHandsHCPAverage
02,395,8000-83.5455
18,203,8003-116.2727
211,325,6004-147.7488
320,995,9207-1510.0179
410,367,2808-1812.2072
57,724,64011-1913.8344
62,134,44012-2116.2783
7566,28015-2217.7203
887,12018-2320.1818
0-863,800,8800-2310.0000

 Study 7Z80 Main Top HCP and Controls

## 8-5-0-0 Shape

Controls per HCP
HCPHandsControlsAverage
013,60800
168,04000
2122,47200
3312,9840-10.2174
4530,7120-20.7179
5816,4800-21.1000
61,231,6320-21.3069
71,631,2321-31.8199
81,900,8001-42.2198
92,137,1041-42.5723
102,346,3002-43.0000
112,137,1042-53.4277
121,900,8002-53.7802
131,631,2323-54.1801
141,231,6324-64.6931
15816,4804-64.9000
16530,7124-65.2821
17312,9845-65.7826
18122,47266.0000
1968,04066.0000
2013,60866.0000
0-2019,876,4280-63.0000

HCP per Controls
ControlsHandsHCPAverage
0914,7600-63.5455
12,482,9203-96.2727
23,789,7204-127.8683
35,501,6287-1310.0000
43,789,7208-1612.1317
52,482,92011-1713.7273
6914,76014-2016.4545
0-619,876,4280-2010.0000

 Study 7Z80 Main Top HCP and Controls

## 10-1-1-1 Shape

Controls per HCP
HCPHandsControlsAverage
1291600
2388800
331,2120-10.0934
441,1520-20.8267
575,5080-21.2401
6173,2000-21.2085
7220,2200-31.8955
8237,0400-42.3778
9274,3720-42.6583
10446,0001-42.9808
11253,6361-53.3308
12224,3681-63.6092
13195,3562-64.1237
14159,3763-64.6813
1570,3243-74.8535
1648,8323-85.3035
1730,9244-85.9627
1816,1285-86.5714
1948366-96.6476
2025927-97.2778
2111528-98.1250
2233699.0000
1-222,513,3680-93.0000

HCP per Controls
ControlsHandsHCPAverage
058,5641-93.5455
1308,7923-126.2727
2390,1044-137.6328
31,048,3887-1610.0120
4343,0248-1712.3189
5284,15211-1813.8650
652,84412-1916.2374
724,64015-2017.5933
8220016-2120.0091
966019-2221.1818
0-92,513,3681-2210.0000

 Study 7Z80 Main Top HCP and Controls

## 9-4-0-0 Shape

Controls per HCP
HCPHandsControlsAverage
0151200
114,61600
223,68800
387,6240-10.1668
4136,8720-20.7470
5226,3680-21.1450
6385,4520-21.2768
7517,7521-31.8379
8586,1161-42.2543
9678,2401-42.5965
10818,2202-43.0000
11678,2402-53.4035
12586,1162-53.7457
13517,7523-54.1621
14385,4524-64.7232
15226,3684-64.8550
16136,8724-65.2530
1787,6245-65.8332
1823,68866.0000
1914,61666.0000
20151266.0000
0-206,134,7000-63.0000

HCP per Controls
ControlsHandsHCPAverage
0217,8000-63.5455
1762,3003-96.2727
21,089,0004-127.7909
31,996,5007-1310.0000
41,089,0008-1612.2091
5762,30011-1713.7273
6217,80014-2016.4545
0-66,134,7000-2010.0000

 Study 7Z80 Main Top HCP and Controls

## 10-2-1-0 Shape

Controls per HCP
HCPHandsControlsAverage
1777600
210,58400
383,5920-10.0930
4112,3200-20.8115
5205,4400-21.2312
6470,3040-21.2093
7604,5360-31.8847
8656,7120-42.3652
9763,2961-42.6533
101,226,8801-42.9864
11724,4161-53.3397
12633,3842-63.6254
13557,0162-64.1306
14445,5363-64.7133
15195,6483-74.8380
16127,2964-75.2952
1783,3044-75.9455
1834,4885-86.5219
1910,6566-86.5135
2048967-87.1765
21201688.0000
1-216,960,0960-83.0000

HCP per Controls
ControlsHandsHCPAverage
0159,7201-83.5455
1845,0643-116.2727
21,080,2884-137.6488
32,883,6727-1510.0087
4990,5288-1712.3171
5800,18411-1813.8242
6147,84012-1916.2849
748,84015-2017.5946
8396018-2120.1818
0-86,960,0961-2110.0000

 Study 7Z80 Main Top HCP and Controls

## 10-3-0-0 Shape

Controls per HCP
HCPHandsControlsAverage
1100800
2144000
310,9440-10.0921
415,3720-20.7775
527,8640-21.2132
663,6120-21.2105
783,7121-31.8618
892,6881-42.3413
9108,7921-42.6414
10170,6882-43.0000
11108,7922-53.3586
1292,6882-53.6587
1383,7123-54.1382
1463,6124-64.7895
1527,8644-64.7868
1615,3724-65.2225
1710,9445-65.9079
18144066.0000
19100866.0000
1-19981,5520-63.0000

HCP per Controls
ControlsHandsHCPAverage
021,7801-63.5455
1116,1603-96.2727
2152,4604-127.6840
3400,7527-1310.0000
4152,4608-1612.3160
5116,16011-1713.7273
621,78014-1916.4545
0-6981,5521-1910.0000

 Study 7Z80 Main Top HCP and Controls

## 11-1-1-0 Shape

Controls per HCP
HCPHandsControlsAverage
397200
411880-10.8182
523880-21.3116
610,6200-21.1096
712,8280-31.9008
813,9681-32.5215
915,9601-42.7271
1044,0641-42.9948
1115,0962-53.2727
1213,5363-53.4778
1311,9643-64.1073
1410,1883-64.8127
1523884-74.7839
1616205-75.2667
179726-76.1111
1843277.0000
3-18158,1840-73.0000

HCP per Controls
ControlsHandsHCPAverage
014523-73.5455
116,2364-106.2727
219,1525-117.5357
385,8247-1410.0027
417,8329-1512.4448
515,57611-1613.8005
6145213-1716.2975
766015-1817.4545
0-7158,1843-1810.0000

 Study 7Z80 Main Top HCP and Controls

## 11-2-0-0 Shape

Controls per HCP
HCPHandsControlsAverage
343200
45400-10.8000
510800-21.3000
647640-21.1108
758561-31.8852
864321-32.5000
974161-42.7168
1019,9682-43.0000
1174162-53.2832
1264323-53.5000
1358563-54.1148
1447644-64.8892
1510804-64.7000
165405-65.2000
1743266.0000
3-1773,0080-63.0000

HCP per Controls
ControlsHandsHCPAverage
06603-63.5455
173924-96.2727
288445-117.5563
339,2167-1310.0000
488449-1512.4437
5739211-1613.7273
666014-1716.4545
0-673,0083-1710.0000

 Study 7Z80 Main Top HCP and Controls

## 12-1-0-0 Shape

Controls per HCP
HCPHandsControlsAverage
61081100
71201-21.9000
81321-32.7273
91442-32.8333
10102033.0000
111443-43.1667
121323-53.2727
131204-54.1000
1410855.0000
6-1420281-53.0000

HCP per Controls
ControlsHandsHCPAverage
11326-86.2727
21447-97.4167
314768-1210.0000
414411-1312.5833
513212-1413.7273
1-520286-1410.0000

 Study 7Z80 Main Top HCP and Controls

## 13-0-0-0 Shape

Controls per HCP
HCPHandsControlsAverage
10433.0000

HCP per Controls
ControlsHandsHCPAverage
341010.0000

 Study 7Z80 Main Top HCP and Controls