EKG sequence convergence: Difference between revisions

→‎{{header|REXX}}: added the REXX computer programming language.
m (added templates and whitespace to the task preamble.)
(→‎{{header|REXX}}: added the REXX computer programming language.)
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(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|REXX}}==
<lang rexx>/*REXX program can generate and display several EKG sequences (with various starts).*/
parse arg nums start /*obtain optional argumenst from the CL*/
if nums=='' | nums=="," then nums= 30 /*Not specified? Then use the default.*/
if start= '' | start= "," then start=2 5 7 9 10 /* " " " " " " */
 
do s=1 for words(start); $= /*step through the specified STARTs. */
second= word(start, s); say /*obtain the second interger in the seq*/
 
do j=1 for nums
if j<3 then do; #=1; if j==2 then #=second; end /*handle 1st & 2nd number*/
else #= ekg(#)
$= $ # /*append the EKG integer to the $ list.*/
end /*j*/
say '(start' second"):" $ /*display the EKG sequence to terminal.*/
end /*s*/
exit /*stick a fork in it, we're all done. */
/*──────────────────────────────────────────────────────────────────────────────────────*/
add_: do while z//j == 0; z=z%j; _=_ j; w=w+1; end; return strip(_)
/*──────────────────────────────────────────────────────────────────────────────────────*/
ekg: procedure expose $; parse arg x 1 z,,_
w=0 /*W: number of factors.*/
do k=1 to 11 by 2; j=k; if j==1 then j=2 /*divide by low primes. */
if j==9 then iterate; call add_ /*skip ÷ 9; add to list.*/
end /*k*/
/* [↓] skips mult. of 3*/
do y=0 by 2; j= j + 2 + y//4 /*increment J by 2 or 4.*/
parse var j '' -1 r; if r==5 then iterate /*divisible by five ? */
if j*j>x | j>z then leave /*passed the sqrt(x) ? */
_= add_() /*add a factor to list. */
end /*y*/
j=z; if z\==1 then _= add_() /*Z¬=1? Then add──►list.*/
if _='' then _=x /*Null? Then use prime. */
do j=3; done=1
do k=1 for w
if j // word(_, k)==0 then do; done=0; leave; end
end /*k*/
if done then iterate
if wordpos(j, $)==0 then return j /*return an EKG integer.*/
end /*j*/</lang>
{{out|output|text=&nbsp; when using the default inputs:}}
<pre>
(start 2): 1 2 4 6 3 9 12 8 10 5 15 18 14 7 21 24 16 20 22 11 33 27 30 25 35 28 26 13 39 36
 
(start 5): 1 5 10 4 6 3 9 12 8 14 7 21 15 18 16 20 22 11 33 24 26 13 39 27 30 25 35 28 32 34
 
(start 7): 1 7 14 4 6 3 9 12 8 10 5 15 18 16 20 22 11 33 21 24 26 13 39 27 30 25 35 28 32 34
 
(start 9): 1 9 3 6 4 8 10 5 15 12 14 7 21 18 16 20 22 11 33 24 26 13 39 27 30 25 35 28 32 34
 
(start 10): 1 10 4 6 3 9 12 8 14 7 21 15 5 20 16 18 22 11 33 24 26 13 39 27 30 25 35 28 32 34
</pre>
 
=={{header|zkl}}==