9.2.3: Efficient trees for prefix codes. Consider the following tree for a prefix code. A text file contains only characters from the set
{a,b,c,d,e,f}
. The frequency of each letter in the file is: a:
5%
b:
5%
c:
10%
d:
15%
e:
25%
f:
40%
(b) Is there a prefix tree for the set
{a,b,c,d,e,f}
that would result in fewer bits per character on average for the given frequencies of the characters?

Question

9.2.3: Efficient trees for prefix codes. Consider the following tree for a prefix code. A text file contains only characters from the set

{a,b,c,d,e,f}

. The frequency of each letter in the file is: a:

5%

b:

5%

c:

10%

d:

15%

e:

25%

f:

40%

(b) Is there a prefix tree for the set

{a,b,c,d,e,f}

that would result in fewer bits per character on average for the given frequencies of the characters?

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