(In reply to re(4): solution NOT enough
I did not want to start a chain of unnecessary remarks, which do not focus on the solution , but on "who said what "and "what was his intention".
Allow me to present the facts re Jer's and Charlie's posts,
which you, Gamer without any justification combined into a joint solution in addressing my short remark to Jer, which I quote':
" Whatever you said is true, but you did not prove that there are only two possibilities : a loop of 1,1.. and the closed loop of 8 specific numbers.
Which means:" ..You're totally right, but you did not provide a solution, you provideed an outline of solution, a solution enough.
We still do not know how many cycles exist. "
On various occasions I do the same: either provide a short synopsis of the way to solve or provide just the answers without
further explanation. Nothing wrong with this.
There was no need to rush to Jer's defence stating
"....it seems like your solution is the same as Charlie's -- the only thing you left out is the program " etc
That is wrong :
"your solution is the same as Charlie's " NO, SIR
Jer spoke about strategy and was not interested in the result.
Charlie solved the issue in full, even providing the distribution between the two happy endings.
Jer understood that only 99 (and not 999 ) numbers have to be examined (need I explain WHY?) , Charlie did not give too much thoughts in this regard.
I hope that in the future your remarks (always welcomed) will be posted after giving them more serious
Please feel free to Email me, if you think it's needed.