Well, you mentioned proportional which I interpreted to mean that higher frequencies should take longer to reach than lower frequencies, which barring the possibility of equal frequencies, a lop-sided tree achieves.
(Albeit you said inversely proportional which would mean reversing the order of the sort from what I posted.)
The only other sense I can get from the information provided -- brought on by the mention of Huffman -- is that you are perhaps looking to minimise the depth of the tree. This does that by building a heap and then converting it to a tree rather clumbsily. Though that could be fixed if the idea is right:
#! perl -slw
use strict;
use Data::Dump qw[ pp ];
use List::Util qw[ reduce ];
use enum qw[ NAME FREQ LEFT RIGHT ];
our $N //= 1;
my$n = 0;
my @heap = map{
$_->[LEFT] = ++$n;
$_->[RIGHT] = ++$n;
$_;
} sort {
$a->[FREQ] <=> $b->[FREQ]
} map[
$_ , int( rand 1000 )
], 'A'x$N .. 'Z'x$N;;
my @tree = map {
$_->[LEFT] = $heap[ $_->[LEFT] ], $_->[RIGHT] = $heap[ $_->[RIGHT] ]
} @heap;
pp \@tree;
Output: C:\test>1031775.pl
do {
my $a = [
[
"Y",
1,
[
"G",
4,
[
"D",
166,
["X", 245, ["I", 516, undef, undef], ["O", 563, undef, undef
+]],
["K", 315, ["M", 628, undef, undef], ["R", 710, undef, undef
+]],
],
[
"A",
218,
["P", 324, ["T", 731, undef, undef], ["Q", 732, undef, undef
+]],
["J", 374, ["V", 735, undef, undef], ["C", 835, undef, undef
+]],
],
],
[
"E",
33,
[
"U",
220,
["L", 393, ["S", 845, undef, undef], ["F", 930, undef, undef
+]],
["W", 471, ["Z", 944, undef, undef], undef],
],
["H", 228, ["B", 507, undef, undef], ["N", 515, undef, undef]]
+,
],
],
'fix',
'fix',
'fix',
'fix',
'fix',
'fix',
'fix',
'fix',
'fix',
'fix',
'fix',
'fix',
'fix',
'fix',
'fix',
'fix',
'fix',
'fix',
'fix',
'fix',
'fix',
'fix',
'fix',
'fix',
'fix',
];
$a->[1] = $a->[0][2];
$a->[2] = $a->[0][3];
$a->[3] = $a->[0][2][2];
$a->[4] = $a->[0][2][3];
$a->[5] = $a->[0][3][2];
$a->[6] = $a->[0][3][3];
$a->[7] = $a->[0][2][2][2];
$a->[8] = $a->[0][2][2][3];
$a->[9] = $a->[0][2][3][2];
$a->[10] = $a->[0][2][3][3];
$a->[11] = $a->[0][3][2][2];
$a->[12] = $a->[0][3][2][3];
$a->[13] = $a->[0][3][3][2];
$a->[14] = $a->[0][3][3][3];
$a->[15] = $a->[0][2][2][2][2];
$a->[16] = $a->[0][2][2][2][3];
$a->[17] = $a->[0][2][2][3][2];
$a->[18] = $a->[0][2][2][3][3];
$a->[19] = $a->[0][2][3][2][2];
$a->[20] = $a->[0][2][3][2][3];
$a->[21] = $a->[0][2][3][3][2];
$a->[22] = $a->[0][2][3][3][3];
$a->[23] = $a->[0][3][2][2][2];
$a->[24] = $a->[0][3][2][2][3];
$a->[25] = $a->[0][3][2][3][2];
$a;
}
With the rise and rise of 'Social' network sites: 'Computers are making people easier to use everyday'
Examine what is said, not who speaks -- Silence betokens consent -- Love the truth but pardon error.
"Science is about questioning the status quo. Questioning authority".
In the absence of evidence, opinion is indistinguishable from prejudice.
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