x(A-1) is the probability after deleting the last A-1 characters with 
backspace. This is the probability that the first character is correct.



On 24 Dec 2012, at 01:58, pankaj gupta <[email protected]> wrote:

> Hi,
> 
> I am trying to analyze the solution of gcj 2013, Round 1A "Password Problem".
> 
> http://code.google.com/codejam/contest/1645485/dashboard#s=p0&a=0
> 
> In the analysis, I am not able to understand how we will get the xA-1 = xA * 
> p1 , where p1 is probability of typing first character right and so on. 
> xA-1 is the probability after deleting the last one character with backspace. 
> Here we are deleting the last character and using the probability of first 
> character?
> 
> xA = 1
> xA-1 = xA * p1
> xA-2 = xA-1 * p2
> etc.
> Please help me understand this?
> 
> Best regards,
> Pankaj
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