Welcome Guest
Log In | Register )
You last visited December 10, 2016, 9:32 am
All times shown are
Eastern Time (GMT-5:00)

A Couple of Observations about Huge PowerBall Drawings

Topic closed. 11 replies. Last post 11 months ago by eddessaknight.

Page 1 of 1
51
PrintE-mailLink
duckman's avatar - ducklogodrake64x64
Jacksonville Florida
United States
Member #23018
October 6, 2005
918 Posts
Offline
Posted: January 10, 2016, 2:27 am - IP Logged

Now that Powerball frenzy will continue at an even faster pace with the new $1.3B estimated jackpot (sure to surpass $1.5B by Wednesday's drawing), here are a couple of observations:

* The huge jackpots are a big reason why computer generated random drawings are a bad idea -> It's almost unbelievable that no one won the last $900M+ drawing. With this in mind, had Powerball used computer generated random number draws, there would be a large number of people questioning whether or not it was rigged. It is a good idea to continue to use the Ping-Pong style manual draw machines to maintain the public trust in the lottery system.

* This last drawing with no winner shows how really difficult it is to win Powerball. Here in Florida, there were times this past week when Powerball tickets were selling at the rate of 25,000 per minute. Combine that with record sales in all the other states and with millions upon millions of tickets sold each day, there was no winner. It was simply "luck" that no winner was created ... as it is "luck" when someone wins something like this.

So, Good Luck to everyone playing this week!

    benmas's avatar - waveform
    Rhode Island
    United States
    Member #56010
    October 28, 2007
    434 Posts
    Offline
    Posted: January 10, 2016, 2:34 am - IP Logged

    quick picks are "randomly" generated by a computer. how they do that i do not know... but in theory one can make an argument saying that the algorithm they use is not truly random and is repeating the lines after say 200 million out of 292million possible

      Avatar
      Warren, MI
      United States
      Member #149999
      December 14, 2013
      42 Posts
      Offline
      Posted: January 10, 2016, 2:34 am - IP Logged

      Also goes to show buying more than couple tickets doesnt really help your chances

        duckman's avatar - ducklogodrake64x64
        Jacksonville Florida
        United States
        Member #23018
        October 6, 2005
        918 Posts
        Offline
        Posted: January 10, 2016, 2:47 am - IP Logged

        quick picks are "randomly" generated by a computer. how they do that i do not know... but in theory one can make an argument saying that the algorithm they use is not truly random and is repeating the lines after say 200 million out of 292million possible

        It would be interesting to see a number combination breakdown for a drawing and see how many duplicates there were from quick picks...

          duckman's avatar - ducklogodrake64x64
          Jacksonville Florida
          United States
          Member #23018
          October 6, 2005
          918 Posts
          Offline
          Posted: January 10, 2016, 2:49 am - IP Logged

          Also goes to show buying more than couple tickets doesnt really help your chances

          Yes, that is why for Powerball I usually only buy one number combination I pick and one quick pick. Luck is the number one factor in winning...

            Avatar
            New Member
            Wollongong
            Australia
            Member #164435
            March 2, 2015
            30 Posts
            Offline
            Posted: January 10, 2016, 3:12 am - IP Logged

            Since it is acclaimed that the odds of winning the big one are app 250 mill to one,what are the odds of a winning ticket in not being picked if more than 250 million lines are sold?

            I guess the odds are as much chance as you throwing a marble on the beach and try to pick it up blindfolded in just the one attempt.

            I look at it this way.If you don't get the jackpot this time,there'll be another one over the horizon to have a crack at.

              Luminus's avatar - ouskuu

              United States
              Member #51269
              April 3, 2007
              529 Posts
              Offline
              Posted: January 10, 2016, 3:46 am - IP Logged

              It would be interesting to see a number combination breakdown for a drawing and see how many duplicates there were from quick picks...

              It's not unbelievable, when you sit down and actually try it yourself.  You want a breakdown?  See below.  Using a certain range for each position of the game, you can see the results I got from the last game for 600 lines (I can do as many lines as you like).  I've deleted all the lines that had zero hits.  See any dupes?

               

               

              :

              :

              Last Winning Numbers

              Power

              :

              :

              :

              :

              Pattern:

              1-16

              17-31

              32-33

              34-59

              60-69

              :

              :

              :

              :

              White Balls

              Lines

              Cost

              16

              19

              32

              34

              57

              13

              Hits

              Power Hit

              Tries

              2/5

              3/5

              4/5

              5/5

              Power

              1

              $2

              4

              19

              32

              50

              67

              12

              2

              0

              1

              57

              4

              1

              0

              24

              2

              $4

              2

              22

              32

              57

              60

              15

              2

              0

              2

              3

              $6

              12

              24

              32

              47

              63

              8

              1

              0

              3

              4

              $8

              5

              31

              32

              53

              65

              24

              1

              0

              4

              5

              $10

              8

              27

              32

              41

              60

              11

              1

              0

              5

              8

              $16

              1

              18

              32

              51

              63

              4

              1

              0

              8

              13

              $26

              13

              21

              32

              43

              64

              19

              1

              0

              13

              14

              $28

              6

              31

              32

              38

              66

              5

              1

              0

              14

              19

              $38

              7

              30

              32

              40

              64

              4

              1

              0

              19

              21

              $42

              14

              19

              32

              59

              66

              21

              2

              0

              21

              22

              $44

              7

              30

              32

              46

              63

              20

              1

              0

              22

              24

              $48

              14

              18

              32

              51

              68

              9

              1

              0

              24

              25

              $50

              1

              25

              32

              54

              69

              26

              1

              0

              25

              28

              $56

              4

              23

              32

              42

              61

              8

              1

              0

              28

              30

              $60

              12

              18

              32

              52

              66

              1

              1

              0

              30

              31

              $62

              14

              21

              32

              49

              63

              25

              1

              0

              31

              36

              $72

              4

              28

              33

              40

              68

              13

              0

              1

              36

              37

              $74

              13

              31

              32

              46

              68

              19

              1

              0

              37

              38

              $76

              5

              31

              32

              46

              62

              8

              1

              0

              38

              39

              $78

              13

              24

              32

              39

              65

              19

              1

              0

              39

              40

              $80

              15

              30

              32

              37

              69

              13

              1

              1

              40

              42

              $84

              11

              24

              32

              49

              61

              4

              1

              0

              42

              43

              $86

              6

              29

              32

              44

              60

              21

              1

              0

              43

              45

              $90

              15

              17

              32

              57

              65

              13

              2

              1

              45

              49

              $98

              10

              31

              33

              34

              66

              16

              1

              0

              49

              50

              $100

              16

              21

              33

              41

              69

              1

              1

              0

              50

              51

              $102

              2

              23

              32

              43

              68

              16

              1

              0

              51

              53

              $106

              2

              28

              32

              49

              68

              2

              1

              0

              53

              55

              $110

              8

              31

              32

              43

              60

              18

              1

              0

              55

              58

              $116

              9

              21

              32

              47

              64

              23

              1

              0

              58

              59

              $118

              1

              19

              33

              48

              60

              20

              1

              0

              59

              61

              $122

              13

              31

              32

              51

              67

              24

              1

              0

              61

              64

              $128

              16

              18

              32

              39

              69

              2

              2

              0

              64

              65

              $130

              1

              21

              32

              44

              62

              23

              1

              0

              65

              66

              $132

              8

              31

              32

              54

              67

              18

              1

              0

              66

              68

              $136

              1

              21

              32

              58

              62

              4

              1

              0

              68

              69

              $138

              6

              19

              33

              39

              67

              15

              1

              0

              69

              73

              $146

              7

              18

              32

              47

              66

              19

              1

              0

              73

              74

              $148

              8

              21

              32

              53

              66

              23

              1

              0

              74

              77

              $154

              1

              23

              32

              35

              62

              3

              1

              0

              77

              81

              $162

              13

              30

              32

              59

              68

              22

              1

              0

              81

              86

              $172

              15

              25

              32

              56

              60

              9

              1

              0

              86

              87

              $174

              12

              18

              32

              58

              61

              17

              1

              0

              87

              88

              $176

              4

              21

              32

              58

              62

              11

              1

              0

              88

              89

              $178

              16

              23

              32

              44

              65

              26

              2

              0

              89

              90

              $180

              2

              27

              32

              47

              63

              23

              1

              0

              90

              91

              $182

              8

              31

              32

              56

              68

              2

              1

              0

              91

              92

              $184

              16

              30

              33

              35

              69

              19

              1

              0

              92

              93

              $186

              7

              17

              32

              55

              65

              4

              1

              0

              93

              95

              $190

              9

              20

              32

              39

              63

              15

              1

              0

              95

              96

              $192

              4

              23

              32

              57

              60

              12

              2

              0

              96

              98

              $196

              3

              18

              33

              57

              65

              20

              1

              0

              98

              101

              $202

              9

              19

              32

              51

              62

              8

              2

              0

              101

              103

              $206

              8

              27

              33

              57

              69

              15

              1

              0

              103

              104

              $208

              5

              20

              32

              48

              67

              2

              1

              0

              104

              106

              $212

              3

              31

              32

              45

              61

              22

              1

              0

              106

              107

              $214

              3

              19

              33

              34

              69

              13

              2

              1

              107

              110

              $220

              8

              28

              33

              57

              61

              26

              1

              0

              110

              111

              $222

              7

              17

              32

              52

              64

              16

              1

              0

              111

              113

              $226

              1

              19

              33

              55

              68

              22

              1

              0

              113

              114

              $228

              16

              20

              32

              39

              68

              11

              2

              0

              114

              115

              $230

              6

              24

              32

              42

              64

              7

              1

              0

              115

              116

              $232

              16

              18

              33

              53

              61

              12

              1

              0

              116

              117

              $234

              10

              19

              33

              34

              65

              25

              2

              0

              117

              118

              $236

              1

              18

              32

              44

              61

              10

              1

              0

              118

              120

              $240

              4

              21

              32

              40

              60

              11

              1

              0

              120

              121

              $242

              3

              18

              32

              40

              66

              17

              1

              0

              121

              126

              $252

              6

              27

              33

              57

              68

              10

              1

              0

              126

              128

              $256

              11

              21

              32

              40

              60

              6

              1

              0

              128

              129

              $258

              10

              26

              32

              49

              60

              4

              1

              0

              129

              133

              $266

              16

              30

              32

              44

              65

              11

              2

              0

              133

              134

              $268

              9

              29

              32

              46

              65

              22

              1

              0

              134

              135

              $270

              1

              21

              33

              52

              68

              13

              0

              1

              135

              137

              $274

              12

              21

              32

              44

              66

              15

              1

              0

              137

              138

              $276

              11

              27

              32

              40

              60

              12

              1

              0

              138

              139

              $278

              8

              24

              32

              55

              67

              21

              1

              0

              139

              140

              $280

              1

              28

              32

              34

              60

              20

              2

              0

              140

              143

              $286

              5

              29

              32

              56

              67

              9

              1

              0

              143

              144

              $288

              11

              24

              32

              47

              64

              9

              1

              0

              144

              148

              $296

              2

              24

              32

              47

              67

              23

              1

              0

              148

              149

              $298

              8

              31

              32

              52

              63

              9

              1

              0

              149

              151

              $302

              8

              22

              32

              38

              69

              4

              1

              0

              151

              152

              $304

              5

              26

              32

              42

              67

              3

              1

              0

              152

              153

              $306

              4

              24

              32

              42

              62

              12

              1

              0

              153

              154

              $308

              15

              30

              32

              45

              64

              1

              1

              0

              154

              158

              $316

              1

              30

              32

              51

              61

              10

              1

              0

              158

              159

              $318

              4

              19

              33

              41

              62

              24

              1

              0

              159

              161

              $322

              5

              19

              33

              50

              66

              24

              1

              0

              161

              168

              $336

              6

              31

              32

              46

              69

              22

              1

              0

              168

              169

              $338

              13

              19

              32

              55

              63

              26

              2

              0

              169

              170

              $340

              16

              21

              33

              39

              68

              25

              1

              0

              170

              171

              $342

              9

              28

              32

              48

              66

              19

              1

              0

              171

              173

              $346

              2

              24

              32

              55

              67

              10

              1

              0

              173

              174

              $348

              13

              22

              33

              41

              67

              13

              0

              1

              174

              175

              $350

              3

              23

              32

              38

              62

              15

              1

              0

              175

              178

              $356

              5

              18

              33

              36

              68

              13

              0

              1

              178

              179

              $358

              10

              28

              32

              57

              68

              23

              2

              0

              179

              181

              $362

              4

              19

              33

              34

              63

              25

              2

              0

              181

              182

              $364

              9

              23

              32

              45

              63

              4

              1

              0

              182

              183

              $366

              3

              19

              33

              42

              60

              11

              1

              0

              183

              184

              $368

              4

              27

              32

              46

              67

              20

              1

              0

              184

              185

              $370

              13

              18

              32

              44

              61

              25

              1

              0

              185

              186

              $372

              13

              19

              32

              42

              66

              1

              2

              0

              186

              188

              $376

              12

              27

              32

              45

              69

              22

              1

              0

              188

              190

              $380

              8

              25

              32

              57

              69

              17

              2

              0

              190

              191

              $382

              8

              30

              32

              54

              62

              11

              1

              0

              191

              193

              $386

              4

              19

              32

              39

              65

              17

              2

              0

              193

              194

              $388

              15

              18

              32

              49

              68

              1

              1

              0

              194

              195

              $390

              12

              31

              33

              34

              69

              18

              1

              0

              195

              196

              $392

              7

              26

              32

              52

              60

              11

              1

              0

              196

              197

              $394

              6

              20

              32

              59

              63

              13

              1

              1

              197

              198

              $396

              5

              22

              32

              55

              69

              3

              1

              0

              198

              199

              $398

              10

              25

              32

              41

              64

              10

              1

              0

              199

              200

              $400

              15

              27

              32

              55

              68

              14

              1

              0

              200

              201

              $402

              12

              20

              32

              34

              69

              25

              2

              0

              201

              202

              $404

              14

              19

              32

              56

              63

              14

              2

              0

              202

              203

              $406

              2

              20

              32

              57

              60

              13

              2

              1

              203

              205

              $410

              6

              21

              32

              40

              67

              15

              1

              0

              205

              206

              $412

              7

              19

              33

              54

              69

              11

              1

              0

              206

              211

              $422

              14

              24

              32

              46

              63

              3

              1

              0

              211

              212

              $424

              9

              24

              32

              42

              61

              2

              1

              0

              212

              215

              $430

              2

              19

              33

              52

              67

              23

              1

              0

              215

              217

              $434

              3

              26

              32

              52

              69

              14

              1

              0

              217

              218

              $436

              1

              26

              32

              48

              60

              13

              1

              1

              218

              219

              $438

              13

              19

              32

              46

              64

              19

              2

              0

              219

              220

              $440

              5

              30

              32

              58

              68

              17

              1

              0

              220

              221

              $442

              5

              21

              32

              44

              63

              6

              1

              0

              221

              222

              $444

              16

              17

              33

              44

              67

              2

              1

              0

              222

              223

              $446

              7

              23

              32

              43

              68

              11

              1

              0

              223

              224

              $448

              10

              20

              33

              52

              67

              13

              0

              1

              224

              225

              $450

              10

              27

              32

              48

              60

              26

              1

              0

              225

              229

              $458

              13

              22

              32

              38

              66

              16

              1

              0

              229

              230

              $460

              16

              27

              33

              45

              64

              24

              1

              0

              230

              232

              $464

              11

              17

              32

              38

              63

              15

              1

              0

              232

              235

              $470

              6

              28

              32

              39

              68

              11

              1

              0

              235

              237

              $474

              2

              26

              32

              34

              61

              12

              2

              0

              237

              238

              $476

              2

              27

              32

              58

              64

              7

              1

              0

              238

              240

              $480

              11

              25

              32

              59

              60

              12

              1

              0

              240

              241

              $482

              4

              20

              32

              37

              62

              16

              1

              0

              241

              243

              $486

              16

              26

              32

              45

              67

              10

              2

              0

              243

              244

              $488

              13

              19

              32

              38

              61

              18

              2

              0

              244

              245

              $490

              4

              19

              32

              54

              61

              18

              2

              0

              245

              247

              $494

              3

              23

              32

              58

              67

              21

              1

              0

              247

              248

              $496

              9

              31

              32

              47

              61

              20

              1

              0

              248

              249

              $498

              7

              31

              32

              41

              64

              7

              1

              0

              249

              250

              $500

              13

              19

              33

              36

              62

              23

              1

              0

              250

              252

              $504

              9

              29

              32

              45

              63

              14

              1

              0

              252

              256

              $512

              6

              18

              33

              57

              69

              4

              1

              0

              256

              257

              $514

              10

              19

              32

              34

              60

              25

              3

              0

              257

              258

              $516

              5

              31

              32

              39

              65

              23

              1

              0

              258

              259

              $518

              14

              19

              33

              45

              63

              2

              1

              0

              259

              261

              $522

              13

              28

              32

              50

              62

              14

              1

              0

              261

              262

              $524

              2

              31

              33

              52

              62

              13

              0

              1

              262

              264

              $528

              4

              23

              32

              59

              60

              16

              1

              0

              264

              265

              $530

              14

              27

              32

              35

              62

              15

              1

              0

              265

              267

              $534

              12

              18

              32

              38

              61

              20

              1

              0

              267

              269

              $538

              11

              17

              32

              58

              66

              11

              1

              0

              269

              271

              $542

              5

              17

              32

              35

              68

              12

              1

              0

              271

              272

              $544

              6

              19

              33

              51

              66

              21

              1

              0

              272

              275

              $550

              5

              30

              32

              55

              64

              20

              1

              0

              275

              276

              $552

              9

              19

              33

              59

              60

              16

              1

              0

              276

              277

              $554

              8

              25

              32

              44

              61

              3

              1

              0

              277

              278

              $556

              4

              17

              32

              52

              69

              13

              1

              1

              278

              279

              $558

              2

              27

              32

              48

              69

              8

              1

              0

              279

              280

              $560

              14

              29

              32

              39

              64

              26

              1

              0

              280

              282

              $564

              9

              20

              32

              36

              60

              19

              1

              0

              282

              283

              $566

              1

              28

              32

              54

              67

              2

              1

              0

              283

              284

              $568

              9

              28

              32

              58

              67

              8

              1

              0

              284

              286

              $572

              8

              30

              32

              46

              68

              6

              1

              0

              286

              287

              $574

              2

              30

              32

              57

              67

              4

              2

              0

              287

              288

              $576

              13

              27

              32

              45

              67

              11

              1

              0

              288

              289

              $578

              13

              30

              32

              56

              63

              6

              1

              0

              289

              290

              $580

              15

              19

              33

              37

              67

              2

              1

              0

              290

              292

              $584

              16

              18

              32

              38

              65

              5

              2

              0

              292

              294

              $588

              15

              21

              32

              48

              67

              17

              1

              0

              294

              296

              $592

              10

              19

              32

              34

              65

              6

              3

              0

              296

              301

              $602

              13

              17

              32

              45

              62

              11

              1

              0

              301

              304

              $608

              3

              22

              32

              56

              67

              12

              1

              0

              304

              305

              $610

              9

              23

              32

              56

              66

              20

              1

              0

              305

              306

              $612

              7

              31

              32

              43

              68

              8

              1

              0

              306

              307

              $614

              16

              25

              33

              53

              66

              17

              1

              0

              307

              308

              $616

              1

              26

              32

              58

              62

              13

              1

              1

              308

              309

              $618

              15

              18

              32

              45

              65

              4

              1

              0

              309

              311

              $622

              3

              29

              32

              54

              63

              1

              1

              0

              311

              312

              $624

              1

              25

              32

              52

              61

              9

              1

              0

              312

              313

              $626

              2

              19

              32

              58

              60

              9

              2

              0

              313

              315

              $630

              4

              30

              32

              36

              63

              3

              1

              0

              315

              316

              $632

              7

              27

              32

              34

              62

              23

              2

              0

              316

              318

              $636

              5

              18

              32

              48

              63

              20

              1

              0

              318

              319

              $638

              9

              24

              33

              57

              60

              15

              1

              0

              319

              322

              $644

              12

              19

              32

              50

              64

              17

              2

              0

              322

              323

              $646

              8

              17

              32

              50

              68

              22

              1

              0

              323

              325

              $650

              12

              24

              32

              42

              65

              8

              1

              0

              325

              327

              $654

              3

              19

              33

              43

              65

              13

              1

              1

              327

              329

              $658

              5

              19

              32

              44

              60

              14

              2

              0

              329

              330

              $660

              8

              24

              32

              52

              64

              26

              1

              0

              330

              332

              $664

              11

              20

              32

              50

              66

              22

              1

              0

              332

              333

              $666

              15

              30

              32

              40

              64

              21

              1

              0

              333

              334

              $668

              6

              31

              33

              57

              62

              15

              1

              0

              334

              336

              $672

              13

              23

              32

              43

              68

              26

              1

              0

              336

              337

              $674

              11

              20

              32

              36

              67

              10

              1

              0

              337

              340

              $680

              10

              28

              32

              46

              67

              23

              1

              0

              340

              342

              $684

              16

              25

              32

              40

              64

              22

              2

              0

              342

              344

              $688

              8

              31

              32

              52

              63

              15

              1

              0

              344

              346

              $692

              2

              29

              32

              43

              63

              15

              1

              0

              346

              349

              $698

              5

              25

              32

              55

              60

              7

              1

              0

              349

              350

              $700

              15

              23

              32

              50

              61

              4

              1

              0

              350

              351

              $702

              3

              23

              32

              36

              60

              22

              1

              0

              351

              352

              $704

              7

              29

              33

              57

              68

              15

              1

              0

              352

              353

              $706

              3

              19

              33

              36

              65

              5

              1

              0

              353

              354

              $708

              11

              31

              32

              36

              64

              15

              1

              0

              354

              355

              $710

              5

              17

              33

              49

              68

              13

              0

              1

              355

              357

              $714

              6

              17

              32

              41

              62

              1

              1

              0

              357

              360

              $720

              1

              20

              32

              41

              68

              6

              1

              0

              360

              361

              $722

              11

              28

              32

              44

              64

              12

              1

              0

              361

              363

              $726

              9

              20

              32

              40

              65

              5

              1

              0

              363

              365

              $730

              5

              28

              32

              55

              62

              18

              1

              0

              365

              366

              $732

              14

              19

              32

              47

              65

              6

              2

              0

              366

              368

              $736

              8

              19

              32

              52

              61

              20

              2

              0

              368

              369

              $738

              15

              25

              32

              43

              61

              15

              1

              0

              369

              370

              $740

              3

              28

              32

              46

              63

              14

              1

              0

              370

              371

              $742

              13

              17

              32

              52

              61

              12

              1

              0

              371

              372

              $744

              6

              20

              33

              57

              67

              26

              1

              0

              372

              373

              $746

              12

              29

              33

              50

              63

              13

              0

              1

              373

              374

              $748

              10

              28

              32

              46

              67

              22

              1

              0

              374

              376

              $752

              12

              31

              32

              50

              64

              19

              1

              0

              376

              377

              $754

              6

              21

              32

              46

              63

              8

              1

              0

              377

              379

              $758

              10

              19

              33

              57

              68

              12

              2

              0

              379

              380

              $760

              15

              27

              32

              44

              63

              19

              1

              0

              380

              381

              $762

              4

              19

              32

              59

              65

              19

              2

              0

              381

              384

              $768

              15

              29

              32

              49

              63

              8

              1

              0

              384

              385

              $770

              13

              20

              33

              34

              68

              1

              1

              0

              385

              388

              $776

              8

              17

              32

              42

              69

              22

              1

              0

              388

              390

              $780

              5

              18

              32

              34

              64

              15

              2

              0

              390

              394

              $788

              8

              17

              32

              42

              65

              17

              1

              0

              394

              397

              $794

              16

              26

              32

              35

              68

              17

              2

              0

              397

              400

              $800

              3

              20

              32

              53

              61

              19

              1

              0

              400

              401

              $801

              7

              18

              32

              58

              65

              8

              1

              0

              401

              402

              $802

              16

              24

              32

              49

              67

              25

              2

              0

              402

              403

              $803

              13

              19

              33

              48

              62

              16

              1

              0

              403

              406

              $806

              8

              17

              32

              57

              65

              19

              2

              0

              406

              407

              $807

              11

              19

              32

              36

              66

              3

              2

              0

              407

              408

              $808

              13

              29

              32

              43

              64

              8

              1

              0

              408

              409

              $809

              12

              23

              32

              58

              65

              21

              1

              0

              409

              412

              $812

              15

              21

              32

              54

              66

              17

              1

              0

              412

              414

              $814

              1

              18

              32

              48

              66

              24

              1

              0

              414

              415

              $815

              16

              24

              33

              54

              68

              9

              1

              0

              415

              417

              $817

              16

              19

              32

              57

              62

              10

              4

              0

              417

              418

              $818

              13

              26

              32

              56

              67

              22

              1

              0

              418

              419

              $819

              4

              21

              32

              55

              67

              22

              1

              0

              419

              420

              $820

              8

              21

              32

              50

              65

              24

              1

              0

              420

              421

              $821

              2

              28

              32

              37

              67

              10

              1

              0

              421

              422

              $822

              12

              29

              32

              51

              65

              6

              1

              0

              422

              423

              $823

              16

              17

              33

              58

              68

              1

              1

              0

              423

              429

              $829

              15

              22

              32

              54

              63

              7

              1

              0

              429

              430

              $830

              4

              23

              32

              55

              66

              14

              1

              0

              430

              431

              $831

              6

              17

              32

              50

              65

              15

              1

              0

              431

              436

              $836

              10

              20

              32

              40

              60

              1

              1

              0

              436

              437

              $837

              5

              28

              33

              35

              68

              13

              0

              1

              437

              438

              $838

              10

              31

              32

              45

              60

              24

              1

              0

              438

              439

              $839

              11

              30

              32

              50

              63

              25

              1

              0

              439

              440

              $840

              9

              22

              32

              53

              68

              19

              1

              0

              440

              441

              $841

              5

              27

              32

              57

              64

              21

              2

              0

              441

              442

              $842

              8

              26

              32

              38

              60

              24

              1

              0

              442

              444

              $844

              1

              22

              32

              44

              68

              11

              1

              0

              444

              445

              $845

              14

              24

              32

              47

              63

              21

              1

              0

              445

              446

              $846

              16

              21

              33

              52

              61

              14

              1

              0

              446

              449

              $849

              1

              19

              32

              48

              62

              11

              2

              0

              449

              450

              $850

              12

              23

              32

              43

              69

              14

              1

              0

              450

              451

              $851

              15

              20

              32

              43

              67

              3

              1

              0

              451

              453

              $853

              1

              23

              32

              57

              63

              25

              2

              0

              453

              454

              $854

              9

              29

              32

              41

              60

              24

              1

              0

              454

              456

              $856

              8

              21

              32

              41

              66

              25

              1

              0

              456

              458

              $858

              1

              17

              32

              52

              63

              17

              1

              0

              458

              460

              $860

              12

              18

              33

              57

              60

              9

              1

              0

              460

              461

              $861

              2

              29

              32

              38

              65

              25

              1

              0

              461

              462

              $862

              5

              19

              32

              41

              68

              22

              2

              0

              462

              465

              $865

              12

              28

              32

              53

              67

              7

              1

              0

              465

              466

              $866

              7

              21

              32

              52

              61

              26

              1

              0

              466

              470

              $870

              8

              26

              32

              55

              62

              15

              1

              0

              470

              471

              $871

              16

              19

              33

              46

              63

              12

              2

              0

              471

              472

              $872

              8

              21

              32

              46

              60

              22

              1

              0

              472

              474

              $874

              11

              27

              32

              58

              62

              14

              1

              0

              474

              475

              $875

              2

              17

              32

              39

              62

              25

              1

              0

              475

              476

              $876

              4

              23

              32

              37

              68

              5

              1

              0

              476

              477

              $877

              6

              22

              33

              57

              66

              16

              1

              0

              477

              478

              $878

              16

              19

              33

              44

              61

              23

              2

              0

              478

              479

              $879

              7

              28

              32

              43

              61

              12

              1

              0

              479

              481

              $881

              2

              17

              32

              40

              69

              25

              1

              0

              481

              483

              $883

              7

              25

              32

              57

              61

              9

              2

              0

              483

              484

              $884

              3

              31

              32

              37

              64

              19

              1

              0

              484

              486

              $886

              13

              19

              32

              52

              68

              8

              2

              0

              486

              489

              $889

              8

              18

              32

              40

              64

              12

              1

              0

              489

              490

              $890

              3

              28

              32

              47

              64

              15

              1

              0

              490

              491

              $891

              6

              17

              32

              59

              62

              18

              1

              0

              491

              494

              $894

              16

              31

              33

              40

              61

              2

              1

              0

              494

              496

              $896

              8

              22

              32

              51

              68

              25

              1

              0

              496

              497

              $897

              5

              23

              32

              42

              61

              3

              1

              0

              497

              498

              $898

              3

              30

              32

              40

              65

              8

              1

              0

              498

              501

              $901

              7

              27

              32

              43

              60

              23

              1

              0

              501

              504

              $904

              12

              24

              32

              37

              67

              25

              1

              0

              504

              505

              $905

              13

              31

              32

              51

              65

              19

              1

              0

              505

              507

              $907

              2

              19

              33

              45

              65

              26

              1

              0

              507

              508

              $908

              16

              24

              33

              43

              64

              10

              1

              0

              508

              509

              $909

              8

              29

              32

              54

              65

              20

              1

              0

              509

              510

              $910

              5

              29

              32

              41

              68

              8

              1

              0

              510

              511

              $911

              6

              29

              32

              48

              69

              3

              1

              0

              511

              512

              $912

              6

              23

              32

              57

              63

              8

              2

              0

              512

              513

              $913

              14

              25

              32

              34

              61

              3

              2

              0

              513

              514

              $914

              2

              19

              32

              45

              63

              15

              2

              0

              514

              516

              $916

              11

              31

              32

              42

              68

              25

              1

              0

              516

              517

              $917

              6

              23

              32

              44

              66

              15

              1

              0

              517

              518

              $918

              6

              28

              32

              39

              66

              17

              1

              0

              518

              520

              $920

              8

              21

              32

              34

              64

              23

              2

              0

              520

              522

              $922

              11

              22

              33

              57

              62

              5

              1

              0

              522

              525

              $925

              11

              17

              32

              35

              63

              4

              1

              0

              525

              526

              $926

              13

              28

              33

              58

              63

              16

              0

              0

              526

              527

              $927

              2

              20

              32

              45

              64

              23

              1

              0

              527

              528

              $928

              2

              25

              32

              38

              65

              16

              1

              0

              528

              531

              $931

              13

              24

              32

              45

              62

              11

              1

              0

              531

              532

              $932

              7

              29

              32

              38

              68

              8

              1

              0

              532

              534

              $934

              4

              19

              32

              38

              66

              18

              2

              0

              534

              535

              $935

              12

              20

              32

              37

              69

              16

              1

              0

              535

              538

              $938

              6

              25

              32

              45

              68

              18

              1

              0

              538

              539

              $939

              11

              26

              32

              39

              63

              8

              1

              0

              539

              540

              $940

              13

              19

              33

              56

              67

              22

              1

              0

              540

              541

              $941

              16

              30

              32

              57

              67

              16

              3

              0

              541

              543

              $943

              8

              20

              32

              51

              61