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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
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20
Task/Yellowstone-sequence/REXX/yellowstone-sequence-1.rexx Normal file
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/*REXX program calculates any number of terms in the Yellowstone (permutation) sequence.*/
parse arg m . /*obtain optional argument from the CL.*/
if m=='' | m=="," then m= 30 /*Not specified? Then use the default.*/
!.= 0 /*initialize an array of numbers(used).*/
# = 0 /*count of Yellowstone numbers in seq. */
$= /*list " " " " " */
do j=1 until #==m; prev= # - 1
if j<5 then do; #= #+1; @.#= j; !.#= j; !.j= 1; $= strip($ j); iterate; end
do k=1; if !.k then iterate /*Already used? Then skip this number.*/
if gcd(k, @.prev)<2 then iterate /*Not meet requirement? Then skip it. */
if gcd(k, @.#) \==1 then iterate /* " " " " " " */
#= #+1; @.#= k; !.k= 1; $= $ k /*bump ctr; assign; mark used; add list*/
leave /*find the next Yellowstone seq. number*/
end /*k*/
end /*j*/
say $ /*display a list of a Yellowstone seq. */
exit /*stick a fork in it, we're all done. */
/*──────────────────────────────────────────────────────────────────────────────────────*/
gcd: parse arg x,y; do until y==0; parse value x//y y with y x; end; return x

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Task/Yellowstone-sequence/REXX/yellowstone-sequence-2.rexx Normal file
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/*REXX program calculates any number of terms in the Yellowstone (permutation) sequence.*/
parse arg m . /*obtain optional argument from the CL.*/
if m=='' | m=="," then m= 30 /*Not specified? Then use the default.*/
!.= 0 /*initialize an array of numbers(used).*/
# = 0 /*count of Yellowstone numbers in seq. */
$ = /*list " " " " " */
do j=1 until #==m; prev= # - 1
if j<5 then do; #= #+1; @.#= j; !.#= j; !.j= 1; $= strip($ j); iterate; end
do k=1; if !.k then iterate /*Already used? Then skip this number.*/
if gcd(k, @.prev)<2 then iterate /*Not meet requirement? Then skip it. */
if gcd(k, @.#) \==1 then iterate /* " " " " " " */
#= # + 1; @.#= k; !.k= 1; $= $ k /*bump ctr; assign; mark used; add list*/
leave /*find the next Yellowstone seq. number*/
end /*k*/
end /*j*/
call $histo $ '(vertical)' /*invoke a REXX vertical histogram plot*/
exit /*stick a fork in it, we're all done. */
/*──────────────────────────────────────────────────────────────────────────────────────*/
gcd: parse arg x,y; do until y==0; parse value x//y y with y x; end; return x