Two happy ends (Posted on 2011-03-07)

	Submitted by Ady TZIDON
No Rating
Solution:	(Hide)
1.It can be easily proven that any number over 99 produces a lesser number, the reduction being at least 25 and at most 845. 2. The above causes the chain to finally rach a single number 1 or the endless loop of the numbers mentioned in the text. 3, To show that there exist no other loops one has to examine all the numbers from 1 to 99 inclusively (Charlie tested the 999 first numbers, always stopping either at "1" or at "4".). 4, To perform a "manual" test of the 99 numbers one should not test all of them, but erase from the candidate list all the numbers of the presently inspected initial number: e.g. 99=>162=>41=>17=>50=>25=>29=>85=>89 …etc stop,- 41,17,50,25,29,85,89, … etc need not be tested .

	Subject	Author	Date
	re(7): NOT enough by Gamer	Ady TZIDON	2011-03-09 19:46:55
	re: How the numbers get there- I EXPLAIN	Ady TZIDON	2011-03-09 19:43:15
	How the numbers get there	Charlie	2011-03-09 15:39:48
	re(6): NOT enough by Gamer	Charlie	2011-03-09 15:20:18
	re(5): NOT enough by Gamer	Ady TZIDON	2011-03-09 07:17:33
	re(4): solution NOT enough	Gamer	2011-03-09 04:46:40
	re(3): solution NOT enough	Jer	2011-03-08 10:08:47
	re(2): solution NOT enough	Gamer	2011-03-08 05:17:54
	re: solution NOT enough	Ady TZIDON	2011-03-07 17:57:23
	solution	Charlie	2011-03-07 15:15:40
	solution enough	Jer	2011-03-07 14:32:20