3层、5层、3层一个卷积核BP神经网络性能比较

3层网络的结构是

d2(mnist 0,1)-49-30-2-(2*k) ,k∈(0,1)

分类mnist的0和1,三层的节点数分别是49,30,2激活函数用sigmoid。让0向1,0收敛让1向0,1收敛。

 

5层网络的结构是

d2(mnist 0,1)-81-30-49-30-2-(2*k) ,k∈(0,1)

分类mnist的0和1,五层的节点数分别是81,30,49,30,2激活函数用sigmoid。让0向1,0收敛让1向0,1收敛。

 

3层一个卷积核的网络的结构是

d2(mnist 0,1)81-con(3*3)49-30-2-(2*k) ,k∈(0,1)

分类mnist的0和1,输入9*9的图片经过一个3*3的卷积核尺寸变成7*7,隐藏层30个节点输出层2个节点。激活函数用sigmoid。让0向1,0收敛让1向0,1收敛。

 

具体进样顺序

d2(mnist 0,1)81-con(3*3)49-30-2-(2*k) ,k∈(0,1)

对应的网络结构

这个网络的收敛标准是

if (Math.abs(f2[0]-y[0])< δ  &&  Math.abs(f2[1]-y[1])< δ   )

具体进样顺序

     

δ=0.5

迭代次数

   

minst 0-1

1

判断是否达到收敛

minst 1-1

2

判断是否达到收敛

梯度下降

     

minst 0-2

3

判断是否达到收敛

minst 1-2

4

判断是否达到收敛

……

     

minst 0-4999

9997

判断是否达到收敛

minst 1-4999

9998

判断是否达到收敛

梯度下降

     

……

     

如果4999图片内没有达到收敛标准再次从头循环

minst 0-1

9999

判断是否达到收敛

minst 1-1

10000

判断是否达到收敛

……

     

每当网路达到收敛标准记录迭代次数和对应的准确率测试结果

将这一过程重复199次

   

δ=0.01

     

……

     

δ=1e-6

     

 

对应每个收敛标准都要收敛199次取平均值,记录199次的最大值,尝试了从0.5到1e-6共34个收敛标准,所以对应每个网络需收敛199*34次。

通过比较平均准确率,最大准确率,迭代次数,收敛时间比较三个网络的性能

 

3

5

3层1个卷积核

   

3

5

3层1个卷积核

δ

平均准确率p-ave

平均准确率p-ave

平均准确率p-ave

δ

最大值p-max

最大值p-max

最大值p-max

0.5

0.556121031

0.502438908

0.517770888

 

0.5

0.941371158

0.810874704

0.867612293

0.4

0.985338038

0.906190527

0.75949725

 

0.4

0.992434988

0.997163121

0.996690307

0.3

0.988685746

0.99093339

0.914275871

 

0.3

0.991489362

0.99858156

0.998108747

0.2

0.988645355

0.996196111

0.944265061

 

0.2

0.990543735

0.999054374

0.998108747

0.1

0.987623698

0.996065434

0.953538377

 

0.1

0.990543735

0.999054374

0.997635934

0.01

0.989999644

0.995502334

0.928536298

 

0.01

0.991489362

0.999054374

0.998108747

0.001

0.968157573

0.989992516

0.907932095

 

0.001

0.992907801

1

0.99858156

9.00E-04

0.968585243

0.991353933

0.890459389

 

9.00E-04

0.992907801

1

0.99858156

8.00E-04

0.972377253

0.989754921

0.901728501

 

8.00E-04

0.992907801

0.999527187

0.998108747

7.00E-04

0.978036756

0.990120817

0.897024128

 

7.00E-04

0.992907801

1

0.997635934

6.00E-04

0.985468715

0.99272723

0.898440191

 

6.00E-04

0.993380615

0.999527187

0.999527187

5.00E-04

0.991769723

0.991821994

0.881307245

 

5.00E-04

0.992907801

0.999527187

0.998108747

4.00E-04

0.992444492

0.994896468

0.872397448

 

4.00E-04

0.993380615

0.999527187

0.998108747

3.00E-04

0.992969576

0.995005762

0.884989962

 

3.00E-04

0.994799054

0.999527187

0.999054374

2.00E-04

0.994399895

0.994136165

0.887848225

 

2.00E-04

0.994799054

0.998108747

0.998108747

1.00E-04

0.993960346

0.991389572

0.847616332

 

1.00E-04

0.994799054

1

0.999054374

9.00E-05

0.993421006

0.993760766

0.870898226

 

9.00E-05

0.994799054

0.999527187

0.99858156

8.00E-05

0.993409126

0.994818062

0.846815638

 

8.00E-05

0.994799054

0.999527187

0.999527187

7.00E-05

0.993663352

0.996609525

0.858384119

 

7.00E-05

0.994799054

0.999527187

0.99858156

6.00E-05

0.99426209

0.996367179

0.822433681

 

6.00E-05

0.994799054

0.999527187

0.999054374

5.00E-05

0.994269218

0.992064341

0.812162467

 

5.00E-05

0.994799054

0.999527187

0.99858156

4.00E-05

0.99394609

0.988716633

0.833256115

 

4.00E-05

0.994799054

0.999054374

0.999527187

3.00E-05

0.993435262

0.987889804

0.860681659

 

3.00E-05

0.993853428

0.997163121

0.999054374

2.00E-05

0.993437638

0.990051915

0.861140216

 

2.00E-05

0.994326241

0.996690307

0.999054374

1.00E-05

0.994366632

0.989160935

0.868161137

 

1.00E-05

0.995271868

0.994326241

0.998108747

9.00E-06

0.994266842

0.989065897

0.856100835

 

9.00E-06

0.994799054

0.992907801

0.999054374

8.00E-06

0.993960346

0.989201326

0.856908657

 

8.00E-06

0.995271868

0.992434988

0.999054374

7.00E-06

0.993810661

0.989217957

0.851536643

 

7.00E-06

0.994799054

0.992907801

0.999054374

6.00E-06

0.994031624

0.989120544

0.835860152

 

6.00E-06

0.994799054

0.992434988

0.999527187

5.00E-06

0.994314361

0.988958979

0.839217363

 

5.00E-06

0.994799054

0.992907801

0.999527187

4.00E-06

0.993972225

0.988844934

0.82416337

 

4.00E-06

0.994799054

0.994799054

0.999054374

3.00E-06

0.993385367

0.989270228

0.84103021

 

3.00E-06

0.993853428

0.994799054

0.999054374

2.00E-06

0.993836796

0.99128503

0.857692719

 

2.00E-06

0.993853428

0.998108747

0.999054374

1.00E-06

0.993896195

0.991068819

0.887536976

 

1.00E-06

0.994326241

0.99858156

0.999054374

 

199次平均准确率p-ave

δ=1e-6

3

>

5

>

3层1个卷积核

 

1.11983638

 

1.116650738

 

1

 

也就是49-30-2的网络结构上加一个3*3的核导致平均性能下降,

在49-30-2的结构上加两层81*30也会导致平均性能下降,但要好于加卷积核。

199次的最大准确率p-max

δ=1e-6

3层1个卷积核

>

5

>

3

 

1.004755112

 

1.0042796

 

1

 在49-30-2的基础上加一个卷积核非常明显的提高了网络的最大分辨率。在49-30-2的基础上加两层81-30也可以提高分辨率但是没有加卷积核效果好。

综合前两个表

加卷积核和加层数确实都会使最大性能上升,而且针对测试的3个网络加卷积核的效果更明显。

 

3

5

3层1个卷积核

   

3

5

3层1个卷积核

δ

迭代次数n

迭代次数n

迭代次数n

 

δ

耗时 min/199

耗时 min/199

耗时 min/199

0.5

9.457286432

17.31155779

16.48241206

 

0.5

4.0988

4.0001

2.255266667

0.4

217.8743719

3767.874372

1361.045226

 

0.4

4.409

17.10336667

3.560683333

0.3

282.9095477

3700.497487

1720.190955

 

0.3

4.53095

16.88956667

3.8671

0.2

359.3015075

3768.60804

1943.336683

 

0.2

4.715983333

20.48565

4.079916667

0.1

440.5829146

3784.150754

2060.557789

 

0.1

1.64245

22.22303333

4.198666667

0.01

898.4974874

3937.753769

2972.638191

 

0.01

5.714416667

22.55365

5.0917

0.001

1712.040201

4656.899497

4091.859296

 

0.001

7.16

25.62353333

6.158

9.00E-04

1735.075377

4732.698492

4177.100503

 

9.00E-04

7.092683333

26.34898333

6.25685

8.00E-04

1817.145729

4773.040201

4204.231156

 

8.00E-04

7.23665

26.55536667

6.278333333

7.00E-04

1967.728643

4867.150754

4327.341709

 

7.00E-04

7.516983333

28.6609

6.3886

6.00E-04

2466.407035

5051.743719

4319.231156

 

6.00E-04

8.460533333

25.1193

6.332716667

5.00E-04

2922.668342

5123.552764

4640.180905

 

5.00E-04

9.2511

28.59831667

6.635683333

4.00E-04

2991.839196

5354.537688

4781.437186

 

4.00E-04

9.083083333

27.10175

6.873116667

3.00E-04

4905.969849

5771.562814

4958.276382

 

3.00E-04

12.79875

31.4649

7.17385

2.00E-04

5184

6608.065327

5410.175879

 

2.00E-04

13.1458

33.98488333

7.57195

1.00E-04

5632.281407

9968.100503

5985.060302

 

1.00E-04

14.19561667

49.20433333

9.430166667

9.00E-05

5723.949749

10986.21608

5960.879397

 

9.00E-05

14.03463333

53.35168333

7.974133333

8.00E-05

5754.090452

11628.0201

6234.261307

 

8.00E-05

14.26598333

56.16275

9.804233333

7.00E-05

6029.919598

12679.52764

6227.025126

 

7.00E-05

14.79435

61.09628333

9.777633333

6.00E-05

6686.894472

13109.78894

6410.015075

 

6.00E-05

15.92916667

63.26216667

10.05916667

5.00E-05

6733.869347

13711.12563

6843.527638

 

5.00E-05

15.9815

65.85913333

10.4674

4.00E-05

7164.261307

15135.42211

7226.582915

 

4.00E-05

17.0012

71.99621667

10.87256667

3.00E-05

7876

20739.68844

7567.170854

 

3.00E-05

18.42911667

97.38201667

11.22465

2.00E-05

7898.773869

33675.49246

8543.718593

 

2.00E-05

18.3598

134.5200333

12.26171667

1.00E-05

10519.22613

56278.17085

10002.80905

 

1.00E-05

20.59985

249.1469333

13.94281667

9.00E-06

10562.28141

59442.55276

10314.70854

 

9.00E-06

23.99378333

262.6644167

14.27883333

8.00E-06

10718.19095

62130.47739

10521.40704

 

8.00E-06

24.3037

276.2772

14.46355

7.00E-06

10886.38191

66274.23618

10795.59296

 

7.00E-06

23.87303333

232.7295667

15.33916667

6.00E-06

11353.8392

70016.88442

11356.43216

 

6.00E-06

25.2186

243.7804833

16.13403333

5.00E-06

13691.06533

75014.68844

11524.1407

 

5.00E-06

29.18276667

262.0030333

16.73851667

4.00E-06

16101.14573

81911.47739

12755.88945

 

4.00E-06

30.34141667

283.9857167

18.1965

3.00E-06

16729.59799

92364.45729

13319.76884

 

3.00E-06

34.85281667

319.9373

18.90775

2.00E-06

17837.20603

113501.8392

15362.49749

 

2.00E-06

32.95221667

392.8333667

21.25796667

1.00E-06

20745.63819

154350.5126

17225.44221

 

1.00E-06

41.03785

559.2056333

23.45475

 

迭代次数

δ=1e-6

5

>

3

>

3层一个卷积核

 

8.96061249

 

1.204360268

 

1

5层网络的迭代次数要远大于其他的两个网络。

耗时

δ=1e-6

5

>

3

>

3层一个卷积核

 

23.84189272

 

1.749660517

 

1

5层网络消耗了23倍的时间取得的最大准确率仍小于3层一个卷积核的网络。

 

 

199次平均准确率p-ave

3层>5层>3层1个卷积核

199次的最大准确率p-max

3层1个卷积核>5层>3层

迭代次数

5层>3层>3层一个卷积核

耗时

5层>3层>3层一个卷积核

所以针对测试的3个网络在49-30-2的基础上加两层81-30会使网络的平均性能基本不变的情况下最大性能显著提升,但代价是收敛速度严重下降。

在49-30-2的基础上增加卷积核会大幅提升网络的最大性能,但卷积核太少了会影响网络的平均性能,使性能变得不稳定。

 

 

实验数据

学习率 0.1

权重初始化方式

Random rand1 =new Random();

int ti1=rand1.nextInt(98)+1;

int xx=1;

if(ti1%2==0)

{ xx=-1;}

tw[a][b]=xx*((double)ti1/x);

第一层第二层和卷积核的权重的初始化的x分别为1000,1000,200

3层网络的2层权重x=1000

5层网络的4层权重x=1000

3层1个卷积核网络的2层权重x=1000,卷积核的x=200

 

49-30-2

               

f2[0]

f2[1]

迭代次数n

平均准确率p-ave

δ

耗时ms/次

耗时ms/199次

耗时 min/199

最大值p-max

0.499386185

0.499447667

9.457286432

0.556121031

0.5

1235.738693

245928

4.0988

0.941371158

0.607789346

0.391697375

217.8743719

0.985338038

0.4

1329.266332

264540

4.409

0.992434988

0.717279441

0.282649246

282.9095477

0.988685746

0.3

1366.035176

271857

4.53095

0.991489362

0.80371583

0.196464405

359.3015075

0.988645355

0.2

1421.899497

282959

4.715983333

0.990543735

0.845146872

0.154991397

440.5829146

0.987623698

0.1

495.1306533

98547

1.64245

0.990543735

0.081706915

0.918288828

898.4974874

0.989999644

0.01

1722.939698

342865

5.714416667

0.991489362

0.974083268

0.025916326

1712.040201

0.968157573

0.001

2158.79397

429600

7.16

0.992907801

0.923964157

0.07603503

1735.075377

0.968585243

9.00E-04

2138.497487

425561

7.092683333

0.992907801

0.753411266

0.246588817

1817.145729

0.972377253

8.00E-04

2181.904523

434199

7.23665

0.992907801

0.532621804

0.467378406

1967.728643

0.978036756

7.00E-04

2266.427136

451019

7.516983333

0.992907801

0.266563765

0.733435398

2466.407035

0.985468715

6.00E-04

2550.909548

507632

8.460533333

0.993380615

0.025442755

0.974557558

2922.668342

0.991769723

5.00E-04

2789.276382

555066

9.2511

0.992907801

3.34E-04

0.999666356

2991.839196

0.992444492

4.00E-04

2738.61809

544985

9.083083333

0.993380615

2.61E-04

0.999738897

4905.969849

0.992969576

3.00E-04

3858.919598

767925

12.79875

0.994799054

1.13E-04

0.999886811

5184

0.994399895

2.00E-04

3963.472362

788748

13.1458

0.994799054

8.53E-05

0.99991484

5632.281407

0.993960346

1.00E-04

4280.080402

851737

14.19561667

0.994799054

6.87E-05

0.999931338

5723.949749

0.993421006

9.00E-05

4231.547739

842078

14.03463333

0.994799054

6.72E-05

0.999932802

5754.090452

0.993409126

8.00E-05

4301.301508

855959

14.26598333

0.994799054

5.81E-05

0.99994191

6029.919598

0.993663352

7.00E-05

4460.60804

887661

14.79435

0.994799054

4.07E-05

0.999959309

6686.894472

0.99426209

6.00E-05

4802.758794

955750

15.92916667

0.994799054

3.96E-05

0.999960391

6733.869347

0.994269218

5.00E-05

4818.361809

958890

15.9815

0.994799054

2.97E-05

0.999970307

7164.261307

0.99394609

4.00E-05

5125.984925

1020072

17.0012

0.994799054

1.52E-05

0.999984755

7876

0.993435262

3.00E-05

5556.512563

1105747

18.42911667

0.993853428

1.50E-05

0.999984982

7898.773869

0.993437638

2.00E-05

5535.613065

1101588

18.3598

0.994326241

8.24E-06

0.999991749

10519.22613

0.994366632

1.00E-05

6211.005025

1235991

20.59985

0.995271868

7.83E-06

0.99999217

10562.28141

0.994266842

9.00E-06

7234.301508

1439627

23.99378333

0.994799054

6.59E-06

0.999993413

10718.19095

0.993960346

8.00E-06

7327.748744

1458222

24.3037

0.995271868

5.83E-06

0.999994177

10886.38191

0.993810661

7.00E-06

7197.854271

1432382

23.87303333

0.994799054

5.41E-06

0.999994592

11353.8392

0.994031624

6.00E-06

7603.512563

1513116

25.2186

0.994799054

4.47E-06

0.999995529

13691.06533

0.994314361

5.00E-06

8798.658291

1750966

29.18276667

0.994799054

3.26E-06

0.999996747

16101.14573

0.993972225

4.00E-06

9148.165829

1820485

30.34141667

0.994799054

2.31E-06

0.999997686

16729.59799

0.993385367

3.00E-06

10508.29648

2091169

34.85281667

0.993853428

1.14E-06

0.999998862

17837.20603

0.993836796

2.00E-06

9935.180905

1977133

32.95221667

0.993853428

8.60E-07

0.999999139

20745.63819

0.993896195

1.00E-06

12373.14573

2462271

41.03785

0.994326241

7.97E-07

0.999999204

21273.60804

0.993903323

9.00E-07

12732.64322

2533802

42.23003333

0.994799054

6.87E-07

0.999999313

22264.36181

0.994050631

8.00E-07

13595.05025

2705417

45.09028333

0.994799054

6.10E-07

0.99999939

23553.17588

0.993943714

7.00E-07

13737.59799

2733784

45.56306667

0.994799054

4.87E-07

0.999999513

26313.60804

0.993470901

6.00E-07

15162.24623

3017303

50.28838333

0.994799054

4.06E-07

0.999999593

27056.1407

0.993577818

5.00E-07

14951.58291

2975365

49.58941667

0.994799054

2.56E-07

0.999999744

27868

0.994055383

4.00E-07

15827.96482

3149765

52.49608333

0.994799054

2.54E-07

0.999999745

27998.54271

0.994026872

3.00E-07

15686.69347

3121656

52.0276

0.994799054

1.72E-07

0.999999827

34769.20603

0.99349466

2.00E-07

19260.24623

3832821

63.88035

0.995271868

8.67E-08

0.999999913

38491.84925

0.994183684

1.00E-07

21997.96985

4377613

72.96021667

0.994799054

 

 

 

81*30*49*30*2

             

f2[0]

f2[1]

迭代次数n

平均准确率p-ave

δ

耗时ms/次

耗时ms/199次

耗时 min/199

最大值p-max

0.497397008

0.501220403

17.31155779

0.502438908

0.5

1205.964824

240006

4.0001

0.810874704

0.58726634

0.412611563

3767.874372

0.906190527

0.4

5156.79397

1026202

17.10336667

0.997163121

0.636640566

0.36278485

3700.497487

0.99093339

0.3

5092.331658

1013374

16.88956667

0.99858156

0.654326877

0.345588026

3768.60804

0.996196111

0.2

6176.577889

1229139

20.48565

0.999054374

0.700519621

0.299452945

3784.150754

0.996065434

0.1

6700.40201

1333382

22.22303333

0.999054374

0.532134869

0.467869686

3937.753769

0.995502334

0.01

6800.080402

1353219

22.55365

0.999054374

0.422209109

0.577793465

4656.899497

0.989992516

0.001

7725.658291

1537412

25.62353333

1

0.341900165

0.65810115

4732.698492

0.991353933

9.00E-04

7944.38191

1580939

26.34898333

1

0.341879526

0.658120602

4773.040201

0.989754921

8.00E-04

8006.633166

1593322

26.55536667

0.999527187

0.296683534

0.703317013

4867.150754

0.990120817

7.00E-04

8641.472362

1719654

28.6609

1

0.186211679

0.813787865

5051.743719

0.99272723

6.00E-04

7573.653266

1507158

25.1193

0.999527187

0.201214859

0.798784971

5123.552764

0.991821994

5.00E-04

8622.60804

1715899

28.59831667

0.999527187

0.105760421

0.894239063

5354.537688

0.994896468

4.00E-04

8171.38191

1626105

27.10175

0.999527187

0.07558383

0.924415606

5771.562814

0.995005762

3.00E-04

9486.904523

1887894

31.4649

0.999527187

0.251341598

0.748658773

6608.065327

0.994136165

2.00E-04

10246.69849

2039093

33.98488333

0.998108747

0.964739483

0.035260641

9968.100503

0.991389572

1.00E-04

14835.39196

2952260

49.20433333

1

0.979821643

0.020178336

10986.21608

0.993760766

9.00E-05

16085.84925

3201101

53.35168333

0.999527187

0.994905063

0.005094859

11628.0201

0.994818062

8.00E-05

16933.49246

3369765

56.16275

0.999527187

0.999940459

5.95E-05

12679.52764

0.996609525

7.00E-05

18420.98995

3665777

61.09628333

0.999527187

0.999949295

5.05E-05

13109.78894

0.996367179

6.00E-05

19074.0201

3795730

63.26216667

0.999527187

0.999958601

4.14E-05

13711.12563

0.992064341

5.00E-05

19857.02513

3951548

65.85913333

0.999527187

0.999966141

3.39E-05

15135.42211

0.988716633

4.00E-05

21707.40201

4319773

71.99621667

0.999054374

0.999973419

2.65E-05

20739.68844

0.987889804

3.00E-05

29361.32663

5842921

97.38201667

0.997163121

0.999981476

1.85E-05

33675.49246

0.990051915

2.00E-05

40558.68342

8071202

134.5200333

0.996690307

0.999990802

9.20E-06

56278.17085

0.989160935

1.00E-05

75119.59799

14948816

249.1469333

0.994326241

0.999991844

8.16E-06

59442.55276

0.989065897

9.00E-06

79195.29648

15759865

262.6644167

0.992907801

0.999992753

7.24E-06

62130.47739

0.989201326

8.00E-06

83299.57789

16576632

276.2772

0.992434988

0.999993663

6.33E-06

66274.23618

0.989217957

7.00E-06

70169.71357

13963774

232.7295667

0.992907801

0.999994542

5.46E-06

70016.88442

0.989120544

6.00E-06

73501.49246

14626829

243.7804833

0.992434988

0.999995425

4.58E-06

75014.68844

0.988958979

5.00E-06

78995.73367

15720182

262.0030333

0.992907801

0.999996283

3.72E-06

81911.47739

0.988844934

4.00E-06

85623.82915

17039143

283.9857167

0.994799054

0.999997181

2.82E-06

92364.45729

0.989270228

3.00E-06

96463.50754

19196238

319.9373

0.994799054

0.999998086

1.91E-06

113501.8392

0.99128503

2.00E-06

118442.201

23570002

392.8333667

0.998108747

0.999999045

9.56E-07

154350.5126

0.991068819

1.00E-06

168604.7085

33552338

559.2056333

0.99858156

 

 

con(3*3)-49-30-2

             

f2[0]

f2[1]

迭代次数n

平均准确率p-ave

δ

耗时ms/次

耗时ms/199次

耗时 min/199

最大值p-max

0.500276107

0.498344763

16.48241206

0.517770888

0.5

679.9798995

135316

2.255266667

0.867612293

0.5818015

0.418241698

1361.045226

0.75949725

0.4

1073.572864

213641

3.560683333

0.996690307

0.644166219

0.35596743

1720.190955

0.914275871

0.3

1165.959799

232026

3.8671

0.998108747

0.725259837

0.274933998

1943.336683

0.944265061

0.2

1230.040201

244795

4.079916667

0.998108747

0.814017223

0.186277612

2060.557789

0.953538377

0.1

1265.929648

251920

4.198666667

0.997635934

0.873548828

0.126458355

2972.638191

0.928536298

0.01

1535.18593

305502

5.0917

0.998108747

0.873795911

0.12620395

4091.859296

0.907932095

0.001

1856.603015

369480

6.158

0.99858156

0.868847942

0.131153585

4177.100503

0.890459389

9.00E-04

1886.482412

375411

6.25685

0.99858156

0.883973522

0.116025939

4204.231156

0.901728501

8.00E-04

1892.964824

376700

6.278333333

0.998108747

0.858927553

0.141072196

4327.341709

0.897024128

7.00E-04

1926.211055

383316

6.3886

0.997635934

0.879064535

0.120935924

4319.231156

0.898440191

6.00E-04

1909.361809

379963

6.332716667

0.999527187

0.843952852

0.156046265

4640.180905

0.881307245

5.00E-04

2000.708543

398141

6.635683333

0.998108747

0.823934671

0.17606553

4781.437186

0.872397448

4.00E-04

2072.291457

412387

6.873116667

0.998108747

0.879229957

0.120769961

4958.276382

0.884989962

3.00E-04

2162.969849

430431

7.17385

0.999054374

0.819003562

0.180996744

5410.175879

0.887848225

2.00E-04

2282.919598

454317

7.57195

0.998108747

0.859247532

0.1407525

5985.060302

0.847616332

1.00E-04

2843.241206

565810

9.430166667

0.999054374

0.829105325

0.170894589

5960.879397

0.870898226

9.00E-05

2404.231156

478448

7.974133333

0.99858156

0.824083387

0.17591666

6234.261307

0.846815638

8.00E-05

2956.020101

588254

9.804233333

0.999527187

0.864285382

0.135714544

6227.025126

0.858384119

7.00E-05

2947.98995

586658

9.777633333

0.99858156

0.909514101

0.090486022

6410.015075

0.822433681

6.00E-05

3032.884422

603550

10.05916667

0.999054374

0.894444864

0.105555205

6843.527638

0.812162467

5.00E-05

3155.98995

628044

10.4674

0.99858156

0.874349802

0.125650215

7226.582915

0.833256115

4.00E-05

3278.140704

652354

10.87256667

0.999527187

0.949728548

0.050271421

7567.170854

0.860681659

3.00E-05

3384.301508

673479

11.22465

0.999054374

0.884410163

0.115589827

8543.718593

0.861140216

2.00E-05

3696.969849

735703

12.26171667

0.999054374

0.859291217

0.140708784

10002.80905

0.868161137

1.00E-05

4203.839196

836569

13.94281667

0.998108747

0.849241442

0.150758558

10314.70854

0.856100835

9.00E-06

4305.170854

856730

14.27883333

0.999054374

0.84421681

0.155783197

10521.40704

0.856908657

8.00E-06

4360.839196

867813

14.46355

0.999054374

0.85929264

0.140707354

10795.59296

0.851536643

7.00E-06

4624.854271

920350

15.33916667

0.999054374

0.864318388

0.135681609

11356.43216

0.835860152

6.00E-06

4864.507538

968042

16.13403333

0.999527187

0.864318891

0.135681109

11524.1407

0.839217363

5.00E-06

5046.773869

1004311

16.73851667

0.999527187

0.81406843

0.185931571

12755.88945

0.82416337

4.00E-06

5486.366834

1091790

18.1965

0.999054374

0.83416934

0.165830664

13319.76884

0.84103021

3.00E-06

5700.80402

1134465

18.90775

0.999054374

0.76884336

0.231156641

15362.49749

0.857692719

2.00E-06

6409.427136

1275478

21.25796667

0.999054374

0.788944292

0.211055707

17225.44221

0.887536976

1.00E-06

7071.768844

1407285

23.45475

0.999054374

0.798994592

0.201005409

18530.14573

0.856122219

9.00E-07

7652.743719

1522897

25.38161667

0.99858156

0.773869028

0.226130972

19642.81407

0.869472659

8.00E-07

7851.894472

1562527

26.04211667

0.999527187

0.773869071

0.226130929

19718.48241

0.872692066

7.00E-07

8259.356784

1643628

27.3938

0.999527187

0.798994697

0.201005303

20614.09548

0.873711346

6.00E-07

8532.537688

1697991

28.29985

0.999527187

0.743718397

0.256281603

22309.09548

0.861109329

5.00E-07

8456.236181

1682806

28.04676667

0.999527187

0.778894301

0.221105699

22176.38693

0.871563491

4.00E-07

9060.462312

1803032

30.05053333

1

0.74371848

0.25628152

25596.88442

0.872273899

3.00E-07

9779.678392

1946157

32.43595

0.999054374

0.733668267

0.266331734

31598.69347

0.874267318

2.00E-07

12587.65327

2504949

41.74915

0.999054374

0.753768805

0.246231195

37973.84925

0.896722383

1.00E-07

14562.95477

2898029

48.30048333

0.999527187

 

 

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