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Ingy döt Net 2023-07-01 11:58:00 -04:00
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/*REXX program calculates and displays the equilibrium index for a numeric array (list).*/
parse arg x /*obtain the optional arguments from CL*/
if x='' then x= copies(" 7 -7", 50) 7 /*Not specified? Then use the default.*/
say ' array list: ' space(x) /*echo the array list to the terminal. */
#= words(x) /*the number of elements in the X list.*/
do j=0 for #; @.j= word(x, j+1) /*zero─start is for zero─based array. */
end /*j*/ /* [↑] assign @.0 @.1 @.3 ··· */
say /* ··· and also display a blank line. */
answer= equilibriumIDX(); w= words(answer) /*calculate the equilibrium index. */
say 'equilibrium' word("(none) index: indices:", 1 + (w>0) + (w>1)) answer
exit /*stick a fork in it, we're all done. */
/*──────────────────────────────────────────────────────────────────────────────────────*/
equilibriumIDX: $=; do i=0 for #; sum= 0
do k=0 for #; sum= sum + @.k * sign(k-i); end /*k*/
if sum==0 then $= $ i
end /*i*/ /* [↑] Zero? Found an equilibrium index*/
return $ /*return equilibrium list (may be null)*/

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/* REXX ---------------------------------------------------------------
* 30.06.2014 Walter Pachl
*--------------------------------------------------------------------*/
parse arg l
say ' array list:' strip(l)
x.=0
Do i=1 To words(l)
x.i=word(l,i)
End
n=i-1
ans=strip(equilibriumIndices())
n=words(ans)
Select
When n=0 Then Say 'There''s no equilibrium index'
When n=1 Then Say 'equilibrium index :' ans
Otherwise Say 'equilibrium indices:' ans
End
Say '---'
exit
equilibriumIndices: procedure expose x. n
sum.=0
sum=0
eil=''
Do i=1 To n
sum=sum+x.i
sum.i=sum
End
Do i=1 To n
im1=i-1
If sum.im1=(sum.n-x.i)/2 Then
eil=eil im1
End
Return eil