On Sat, Nov 12, 2011 at 4:24 PM, Snoopy Me <thesnoop...@gmail.com> wrote:

> Given a string consisting of a,b and c's, we can perform the
> following
> operation:
>  Take any two adjacent distinct characters and replace it with the
> third character. For example, if 'a' and 'c' are adjacent, they can
> replaced with 'b'.
> What is the smallest string which can result by applying this
> operation repeatedly?
>
> 1) if the string aaaaa......aaa, or bb..bb, etc... string cannot be
modified
2) if string starts with aaaaac => this can be reduced to aaaab -> aaac ->
aab -> ac -> b
3) So if string not of type (1), then it can be reduced to single character
"always" using  method 2
   e.g:
  *aab*cacaab     // first reduce aab to b
  *bbc*acaab      // reduce bbc to c
  *ca*caab
  *bc*aab
  *aaab*
  c
.. i guess u got the idea





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-- 
T Srinivasa Chaitanya

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