n

m

$\epsilon$

$n/2^{\epsilon }$

$S_n{\left(N\right)}_{\max }$

$S_n{\left(N\right)}_{\min }$

$S_n{\left(N\right)}_{\max }/S_n{\left(N\right)}_{\min }$

1

2

0.4150

0.7500

0.2500

0.2500

1.0000

2

4

0.8301

0.5625

0.3125

0.3125

1.0000

3

5

0.2451

0.8438

0.7188

0.5938

1.2105

4

7

0.6601

0.6328

0.6641

0.5078

1.3077

5

8

0.0752

0.9492

1.2461

0.8242

1.5118

6

10

0.4902

0.7119

1.0596

0.6494

1.6316

7

12

0.9053

0.5339

0.9197

0.5027

1.8295

8

13

0.3203

0.8009

1.6295

0.7697

2.1172

9

15

0.7353

0.6007

1.3471

0.5851

2.3026

10

16

0.1504

0.9010

2.2707

0.8854

2.5646

20

32

0.3007

0.8118

4.0259

0.8116

4.9605

30

48

0.4511

0.7315

5.3488

0.7315

7.3124

40

64

0.6015

0.6591

6.4221

0.6591

9.7442

50

80

0.7519

0.5938

7.1836

0.5938

12.0971

60

96

0.9022

0.5351

7.7760

0.5351

14.5332

70

111

0.0526

0.9642

16.4415

0.9642

17.0523

80

127

0.2030

0.8687

16.9346

0.8687

19.4933

90

143

0.3534

0.7828

17.1048

0.7828

21.8522

100

159

0.5037

0.7053

17.0145

0.7053

24.1247

200

317

0.0075

0.9948

48.0471

0.9948

48.2976

300

476

0.5112

0.7016

50.6659

0.7016

72.2133

400

634

0.0150

0.9897

95.3488

0.9897

96.3453

500

793

0.5187

0.6980

84.0264

0.6980

120.3857

600

951

0.0225

0.9845

142.2404

0.9845

144.4761

700

1110

0.5262

0.6944

116.9818

0.6944

168.4748

800

1268

0.0300

0.9794

188.7254

0.9794

192.6908

900

1427

0.5337

0.6908

149.6505

0.6908

216.6470

1000

1585

0.0375

0.9743

234.4806

0.9743

240.6552

2000

3170

0.0750

0.9493

456.8498

0.9493

481.2273

3000

4755

0.1125

0.9250

667.5753

0.9250

721.7146

4000

6340

0.1500

0.9013

867.2626

0.9013

962.2862

5000

7925

0.1875

0.8781

1056.1896

0.8781

1202.7737