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Smallest power of 6 whose decimal expansion contains n: Difference between revisions

→‎{{header|REXX}}: added the computer programming language REXX.
(Created page with "{{Draft task}} ;Task: Smallest power of 6 whose decimal expansion contains n, where '''n < 22''' <br><br> =={{header|Ring}}== <lang ring> load "stdlib.ring" decimals(0) see...")
 
(→‎{{header|REXX}}: added the computer programming language REXX.)
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Smallest power of 6 whose decimal expansion contains n, where '''n < 22'''
<br><br>
=={{header|REXX}}==
<lang rexx>/*REXX pgm finds the smallest (decimal) power of 6 which contains N, where N < 22. */
numeric digits 100 /*ensure enough decimal digs for power.*/
parse arg hi . /*obtain optional argument from the CL.*/
if hi=='' | hi=="," then hi= 22 /*Not specified? Then use the default.*/
w= 50 /*width of a number in any column. */
@smp6= ' smallest power of six (expressed in decimal) which contains N'
say ' N │ power │'center(@smp6, 20 + w ) /*display the title of the output. */
say '─────┼───────┼'center("" , 20 + w, '─') /* " " separator " " " */
 
do j=0 for hi /*look for a power of 6 that contains N*/
do p=0; x= 6**p /*compute a power of six (in decimal). */
if pos(j, x)>0 then leave /*does the power contain an N ? */
end /*p*/
c= commas(x) /*maybe add commas to the powe of six. */
z= right(c, max(w, length(c) ) ) /*show a power of six, allow biger #s. */
say center(j, 5)'│'center(p, 7)"│" z /*display what we have so far (cols). */
end /*j*/
 
say '─────┴───────┴'center("" , 20 + w, '─') /* " " separator " " " */
exit 0 /*stick a fork in it, we're all done. */
/*──────────────────────────────────────────────────────────────────────────────────────*/
commas: parse arg ?; do jc=length(?)-3 to 1 by -3; ?=insert(',', ?, jc); end; return ?</lang>
{{out|output|text=&nbsp; when using the default input:}}
<pre>
N │ power │ smallest power of six (expressed in decimal) which contains N
─────┼───────┼──────────────────────────────────────────────────────────────────────
0 │ 9 │ 10,077,696
1 │ 0 │ 1
2 │ 3 │ 216
3 │ 2 │ 36
4 │ 6 │ 46,656
5 │ 6 │ 46,656
6 │ 1 │ 6
7 │ 5 │ 7,776
8 │ 12 │ 2,176,782,336
9 │ 4 │ 1,296
10 │ 9 │ 10,077,696
11 │ 16 │ 2,821,109,907,456
12 │ 4 │ 1,296
13 │ 13 │ 13,060,694,016
14 │ 28 │ 6,140,942,214,464,815,497,216
15 │ 18 │ 101,559,956,668,416
16 │ 3 │ 216
17 │ 10 │ 60,466,176
18 │ 15 │ 470,184,984,576
19 │ 21 │ 21,936,950,640,377,856
20 │ 26 │ 170,581,728,179,578,208,256
21 │ 3 │ 216
─────┴───────┴──────────────────────────────────────────────────────────────────────
</pre>
 
=={{header|Ring}}==
<lang ring>
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