Contribution on Puzzlet #178
From: Thom Graff Thom
<robotshark@yahoo.com>
Hello
again, Dave.
I found 9 numbers which solve this week's puzzlet:
00000 = 00000
02920 = 05550
09490 = 22422
13131 = 31513
13331 = 32023
26462 = 63536
26662 = 64046
30103 = 72627
30303 = 73137
I
did this in Excel using an algorithm to separate both the denary and
the octal numbers into digits, and then a logical operator to check for
palindromicity (now THERE'S a word you normally won't hear in daily
conversation.) Luckily, Excel has a function (DEC2OCT) which
performs
the conversion automatically. Also, I separated the problem into
two
sets: 0 to 32767, and then 32768 to 99999 to check for six-digit octal
palindromes, but alas there were none.
Thom,
Thanks for the input. You caught me out this week - I
didn't think of looking for integers beginning with zero!
I'm not sure if these are legal, in one sense, but I certainly
didn't exclude them.
Well done - I can see I'm going to have to devise a Puzzlet
which can't be solved using Excel! I didn't know it had a
Dec2Oct function.
Dave.