EKG sequence convergence: Difference between revisions

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Add Factor
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Rename Perl 6 -> Raku, alphabetize, minor clean-up
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EKG(5) and EKG(7) converge at term 21
</pre>
 
 
=={{header|Haskell}}==
Line 616 ⟶ 615:
EKG(10): 1 10 2 4 6 3 9 12 8 14
EKGs of 5 & 7 converge at term 21</pre>
 
=={{header|Perl 6}}==
{{works with|Rakudo Star|2018.04.1}}
<lang perl6>sub infix:<shares-divisors-with> { ($^a gcd $^b) > 1 }
 
sub next-EKG ( *@s ) {
return first {
@s ∌ $_ and @s.tail shares-divisors-with $_
}, 2..*;
 
sub EKG ( Int $start ) { 1, $start, &next-EKG … * }
 
sub converge-at ( @ints ) {
my @ekgs = @ints.map: &EKG;
 
return (2 .. *).first: -> $i {
[==] @ekgs.map( *.[$i] ) and
[===] @ekgs.map( *.head($i).Set )
}
 
say "EKG($_): ", .&EKG.head(10) for 2, 5, 7, 9, 10;
 
for [5, 7], [2, 5, 7, 9, 10] -> @ints {
say "EKGs of (@ints[]) converge at term {$_+1}" with converge-at(@ints);
}</lang>
{{out}}
<pre>
EKG(2): (1 2 4 6 3 9 12 8 10 5)
EKG(5): (1 5 10 2 4 6 3 9 12 8)
EKG(7): (1 7 14 2 4 6 3 9 12 8)
EKG(9): (1 9 3 6 2 4 8 10 5 15)
EKG(10): (1 10 2 4 6 3 9 12 8 14)
EKGs of (5 7) converge at term 21
EKGs of (2 5 7 9 10) converge at term 45
</pre>
 
=={{header|Phix}}==
Line 804 ⟶ 766:
(21, [13, 17, 19, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32]),
(24, [13, 17, 19, 23, 25, 26, 27, 28, 29, 30, 31, 32])]</pre>
 
=={{header|Perl 6Raku}}==
(formerly Perl 6)
{{works with|Rakudo Star|2018.04.1}}
<lang perl6>sub infix:<shares-divisors-with> { ($^a gcd $^b) > 1 }
 
sub next-EKG ( *@s ) {
return first {
@s ∌ $_ and @s.tail shares-divisors-with $_
}, 2..*;
 
sub EKG ( Int $start ) { 1, $start, &next-EKG … * }
 
sub converge-at ( @ints ) {
my @ekgs = @ints.map: &EKG;
 
return (2 .. *).first: -> $i {
[==] @ekgs.map( *.[$i] ) and
[===] @ekgs.map( *.head($i).Set )
}
 
say "EKG($_): ", .&EKG.head(10) for 2, 5, 7, 9, 10;
 
for [5, 7], [2, 5, 7, 9, 10] -> @ints {
say "EKGs of (@ints[]) converge at term {$_+1}" with converge-at(@ints);
}</lang>
{{out}}
<pre>
EKG(2): (1 2 4 6 3 9 12 8 10 5)
EKG(5): (1 5 10 2 4 6 3 9 12 8)
EKG(7): (1 7 14 2 4 6 3 9 12 8)
EKG(9): (1 9 3 6 2 4 8 10 5 15)
EKG(10): (1 10 2 4 6 3 9 12 8 14)
EKGs of (5 7) converge at term 21
EKGs of (2 5 7 9 10) converge at term 45
</pre>
 
=={{header|REXX}}==