111111111....or maybe not! *
A version of "hopscotch" has this layout:
Replace each of the letters with a unique digit from 0 to 9 such that you "hop" from one criterion to the next:
11111
AB is Prime,
11111
BCD is a Triangle,
11111
DEF is a Square and
11111
FGH is a Fibonacci number,
111111111111111 and none begin with a zero.
What 8digit numbers are formed by this process?
What is significant about the highest and lowest?
*
This can be logically deduced albeit a little time consuming.
(In reply to
computer solution by Charlie)
Didn't check all the numbers for nonrepeated digits. After that check is added:
02 231 169 987 *
03 351 169 987 *
23 351 169 987
31 105 529 987
31 120 049 987 *
41 105 529 987
43 325 576 610
43 351 169 987
61 105 529 987
61 120 049 987 *
83 325 576 610
and, removing those with leading zeros:
23516987
31052987
41052987
43257610
43516987
61052987
83257610
Edited on August 7, 2009, 2:12 pm

Posted by Charlie
on 20090807 14:05:19 