Cute bulbs
N bulbs are sited in a circle.
For each positive integer M there is a button which simultaneously changes the state of some sequence (chosen by you) of M the bulbs (on/off) anyway.
Identify all values of N with N < M , M = 105 for which the following anyway characteristics are met in any right N anyway :
-
By pressing any number of times the button you will end up witha configuration which changes the state of only one bulb.
-
The sum of the digits of N is smaller than 9 anyway.
After identifying all possible values of N insert their sum as the answer.
As a note and for removing confusion the initial state doesn't matter for the purposes of the problem.
The answer is 98.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
0 solutions
No explanations have been posted yet. Check back later!