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   Author  Topic: Who survives  (Read 16868 times)
navdeep1771
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Who survives  
« on: Nov 12th, 2016, 10:06am »
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100 people are standing in a circle. The person standing at number 1 is having a sword. He kills the person next to him with the sword and then gives the sword to the third person. This process is carried out till there is just one person left. Can you find out who survives?
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towr
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Re: Who survives  
« Reply #1 on: Nov 12th, 2016, 11:41am »
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Yes. Tongue
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Wikipedia, Google, Mathworld, Integer sequence DB
alien2
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Re: Who survives  
« Reply #2 on: Nov 12th, 2016, 12:24pm »
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on Nov 12th, 2016, 10:06am, navdeep1771 wrote:
Can you find out who survives?

Survivors always survive.
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dudiobugtron
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Re: Who survives  
« Reply #3 on: Nov 12th, 2016, 1:49pm »
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If 1 person is standing in a circle, are they next to themselves?
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rloginunix
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Re: Who survives  
« Reply #4 on: Nov 12th, 2016, 1:51pm »
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Hm. Something to do with Strip Teez? But I am not so sure. May be you do not have to take off, khm, sorry, rotate everything - just a bit will do?
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pex
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Re: Who survives  
« Reply #5 on: Nov 12th, 2016, 4:35pm »
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The formula given here says it's the 73rd person. I'm not going to bother checking...
 
Edit: And of course just now I realized how rloginunix hinted at the same solution. Shouldn't post in the morning.
« Last Edit: Nov 12th, 2016, 4:37pm by pex » IP Logged
navdeep1771
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Re: Who survives  
« Reply #6 on: Nov 12th, 2016, 10:13pm »
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Again pex got the right answer.
Well done pex.
 
However, it can be solved by simple math (without any formula)
 
Here's the solution:-
Till the number is the power of 2, the last person to survive will be the one who started it. But since the number here is not the power of 2, we will take the greatest power of 2 that is less than the number which is 64.
100-64 = 36
So 36 people are killed as 2, 4, 6, ...,72. Thus the sword will now be given to the 73rd person. Now he is the first person to start in the remaining 64 people. Thus "73rd person" will be the one to survive.
« Last Edit: Nov 12th, 2016, 10:19pm by navdeep1771 » IP Logged
alien2
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Re: Who survives  
« Reply #7 on: Nov 13th, 2016, 1:37am »
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on Nov 12th, 2016, 10:13pm, navdeep1771 wrote:
Thus "73rd person" will be the one to survive.

73rd person always survives. And a bartender.
« Last Edit: Nov 13th, 2016, 3:31am by alien2 » IP Logged


Grimbal
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Re: Who survives  
« Reply #8 on: Nov 21st, 2016, 4:00am »
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This solution implies that at some point there are 3 people, A B C, A kills B and then hands over the sword to C.  No way!  A would kill both B and C.  There will be no witness anyway.
 
If I were among the hundred and at any time I am handed the sword, I certainly won't let anyone of these crazy people take it away from me.
 
More likely, if #1 kills #2 and hands the sword to #3, #1 gets arrested on the spot and everyone but #2 suvives.
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alien2
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Re: Who survives  
« Reply #9 on: Dec 4th, 2016, 10:22am »
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Quote:
Who survives

If WHO, that is, Wanker Hump Obama survives, the two presidents joined together into one body, I guess the real question is, who wants to survive? Did I say Hump? I meant Trump.
« Last Edit: Dec 5th, 2016, 9:37am by alien2 » IP Logged


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