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Table 1 Numerical evaluation of Eqs. 24. Probability Distribution Function (%) of path weight vs height in a sparse MT (\(p=0.1\))

From: Indexing structures for the PLS blockchain

k

Mean

0

1

2

3

4

5

6

7

8

9

10

2

0.200

81.0

18.0

1.0

3

0.390

65.6

30.0

4.2

0.2

4

0.734

43.0

42.2

13.1

1.6

0.1

5

1.303

18.5

42.7

29.7

8.1

0.9

0.0

6

2.118

3.4

23.0

40.3

25.7

6.8

0.8

0.0

7

3.084

0.1

4.1

23.6

39.8

25.0

6.6

0.7

0.0

8

4.083

0.0

0.1

4.1

23.6

39.8

25.0

6.6

0.7

0.0

9

5.083

0.0

0.0

0.1

4.1

23.6

39.8

25.0

6.6

0.7

0.0

10

6.083

0.0

0.0

0.0

0.1

4.1

23.6

39.8

25.0

6.6

0.7

0.0