Primes - allocate descendants to their ancestors: Difference between revisions
Primes - allocate descendants to their ancestors (view source)
Revision as of 17:40, 14 March 2020
, 4 years agoRename Perl 6 -> Raku, alphabetize, minor clean-up
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Thundergnat (talk | contribs) (Rename Perl 6 -> Raku, alphabetize, minor clean-up) |
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Line 1,444:
15, 3 Ancestors: [5 6 8], 12 Descendants: [26 44 105 112 125 ... 160 180 192 216 243]
46, 3 Ancestors: [7 10 25], 557 Descendants: [129 205 246 493 518 ... 14171760 15116544 15943230 17006112 19131876]
99, 1 Ancestors: [17], 38257 Descendants: [194 1869 2225 2670 2848 ... 3904305912313344 4117822641892980 4392344151352512 4941387170271576 5559060566555523]
Line 1,804 ⟶ 1,734:
Total ancestors up to 99: 179
Total descendants up to 99: 546986</pre>
=={{header|Raku}}==
(formerly Perl 6)
{{works with|Rakudo|2018.11}}
<lang perl6>my $max = 99;
my @primes = (2 .. $max).race(:16batch).grep: *.is-prime;
my %tree;
(1..$max).race(:16batch).map: {
%tree{$_}<ancestor> = ();
%tree{$_}<descendants> = {};
};
sub allocate ($n, $i = 0, $sum = 0, $prod = 1) {
return if $n < 4;
for @primes.kv -> $k, $p {
next if $k < $i;
if ($sum + $p) <= $n {
allocate($n, $k, $sum + $p, $prod * $p);
} else {
last if $sum == $prod;
%tree{$sum}<descendants>{$prod} = True;
last if $prod > $max;
%tree{$prod}<ancestor> = %tree{$sum}<ancestor> (|) $sum;
last;
}
}
}
# abbreviate long lists to first and last 5 elements
sub abbrev (@d) { @d < 11 ?? @d !! ( @d.head(5), '...', @d.tail(5) ) }
my @print = flat 1 .. 15, 46, 74, $max;
(1 .. $max).map: -> $term {
allocate($term);
if $term == any( @print ) # print some representative lines
{
my $dn = +%tree{$term}<descendants> // 0;
my $dl = abbrev(%tree{$term}<descendants>.keys.sort( +*) // ());
printf "%2d, %2d Ancestors: %-14s %5d Descendants: %s\n",
$term, %tree{$term}<ancestor>,
"[{ %tree{$term}<ancestor>.keys.sort: +* }],", $dn, "[$dl]";
}
}
say "\nTotal descendants: ",
sum (1..$max).race(:16batch).map({ +%tree{$_}<descendants> });</lang>
{{out}}
<pre> 1, 0 Ancestors: [], 0 Descendants: []
2, 0 Ancestors: [], 0 Descendants: []
3, 0 Ancestors: [], 0 Descendants: []
4, 0 Ancestors: [], 0 Descendants: []
5, 0 Ancestors: [], 1 Descendants: [6]
6, 1 Ancestors: [5], 2 Descendants: [8 9]
7, 0 Ancestors: [], 2 Descendants: [10 12]
8, 2 Ancestors: [5 6], 3 Descendants: [15 16 18]
9, 2 Ancestors: [5 6], 4 Descendants: [14 20 24 27]
10, 1 Ancestors: [7], 5 Descendants: [21 25 30 32 36]
11, 0 Ancestors: [], 5 Descendants: [28 40 45 48 54]
12, 1 Ancestors: [7], 7 Descendants: [35 42 50 60 64 72 81]
13, 0 Ancestors: [], 8 Descendants: [22 56 63 75 80 90 96 108]
14, 3 Ancestors: [5 6 9], 10 Descendants: [33 49 70 84 100 120 128 135 144 162]
15, 3 Ancestors: [5 6 8], 12 Descendants: [26 44 105 112 125 ... 160 180 192 216 243]
46, 3 Ancestors: [7 10 25], 557 Descendants: [129 205 246 493 518 ... 14171760 15116544 15943230 17006112 19131876]
74, 5 Ancestors: [5 6 8 16 39], 6336 Descendants: [213 469 670 793 804 ... 418414128120 446308403328 470715894135 502096953744 564859072962]
99, 1 Ancestors: [17], 38257 Descendants: [194 1869 2225 2670 2848 ... 3904305912313344 4117822641892980 4392344151352512 4941387170271576 5559060566555523]
Total descendants: 546986</pre>
=={{header|Sidef}}==
{{trans|Go}}
| |||